50000
10 4
3 4 2
3 2 4
1 3 3
0 3 3
2 0 4
0 2 1
0 3 1
2 5 3
5 0 2
4 2 2
10 7
3 3 2
1 0 0
0 2 2
5 0 2
0 3 5
2 0 3
4 1 0
0 3 0
1 2 4
0 1 1
10 3
4 1 1
0 3 1
3 4 2
0 0 0
4 0 0
2 5 1
2 1 3
1 5 4
0 0 1
4 4 4
10 9
3 2 1
1 0 3
0 1 2
3 2 2
3 3 3
1 2 1
1 2 3
3 3 0
1 1 3
3 0 3
10 2
1 3 1
3 3 3
4 0 0
2 2 1
2 4 3
1 2 0
2 3 0
0 4 1
3 2 2
3 1 4
10 5
0 0 4
3 2 3
1 1 4
2 0 2
4 3 3
0 0 0
1 4 2
4 0 0
2 1 4
4 1 1
10 7
3 1 2
2 1 3
3 0 3
0 1 3
2 3 1
1 2 0
0 2 2
1 3 2
2 3 3
1 2 3
10 8
5 0 4
1 4 3
2 0 2
4 3 4
5 5 2
0 2 0
3 1 3
5 4 2
1 0 1
4 1 1
10 9
3 0 4
0 3 0
0 2 2
1 4 3
3 1 1
1 3 2
3 0 0
0 2 1
3 1 2
4 1 0
10 6
3 0 0
0 3 3
1 0 2
2 0 3
0 1 3
3 3 0
1 0 1
1 0 0
0 3 0
2 1 0
10 5
3 1 4
3 3 2
3 2 3
1 1 4
1 1 2
2 4 1
4 3 3
2 2 1
3 1 2
2 0 1
10 7
1 0 1
2 2 1
2 1 1
0 0 2
1 1 0
0 2 2
2 1 2
1 2 2
2 0 2
1 1 1
10 8
0 0 1
1 0 2
2 0 1
1 2 2
1 1 0
0 0 0
2 1 2
2 1 1
0 1 1
1 0 0
10 7
2 3 3
1 4 3
4 4 2
4 1 3
1 1 3
1 3 1
1 2 4
0 4 1
4 2 4
1 0 1
10 8
4 2 3
3 1 0
0 3 3
4 2 1
0 4 4
4 3 2
3 0 3
2 3 2
0 2 3
2 4 1
10 6
2 0 1
0 3 2
1 0 2
1 1 3
3 1 1
2 0 0
2 3 3
1 0 0
1 2 3
0 2 3
10 2
0 1 2
2 1 1
1 0 1
2 1 0
2 0 2
2 2 1
1 0 2
1 1 1
1 2 1
1 2 0
10 5
4 0 2
1 4 5
1 0 5
1 5 5
1 1 3
3 2 4
4 0 4
3 0 2
0 4 4
4 2 0
10 3
1 0 0
1 1 3
3 3 2
0 0 2
0 3 1
1 0 3
3 2 3
1 2 2
1 1 0
2 1 3
10 3
2 1 1
1 1 0
0 1 2
2 0 2
2 2 0
0 2 0
2 2 1
1 2 1
2 2 2
0 1 0
10 8
4 4 1
1 1 4
0 0 5
4 3 2
5 3 5
1 3 1
2 3 0
0 1 4
1 4 4
0 5 3
10 6
0 0 0
0 2 3
1 4 4
0 0 3
1 0 3
3 2 2
1 1 1
2 4 2
4 1 4
4 4 2
10 6
2 0 2
1 0 3
0 3 3
1 2 3
0 3 2
3 1 1
1 0 0
0 3 0
1 1 1
2 2 0
10 8
2 0 1
2 1 2
0 0 1
0 0 2
2 2 1
1 1 1
1 0 2
1 2 0
2 1 0
2 2 0
10 2
3 3 3
1 4 3
3 1 0
3 3 0
2 3 1
3 3 2
0 1 2
2 1 3
0 4 2
3 4 2
10 8
2 2 2
0 1 0
2 0 0
1 1 1
1 2 2
2 1 2
2 2 0
2 1 1
1 2 0
1 0 1
10 4
3 0 2
0 3 2
1 1 1
2 0 2
0 0 2
2 0 0
1 3 0
2 2 1
1 1 3
3 1 2
10 8
1 2 5
4 0 1
2 5 3
5 4 4
4 4 0
5 2 3
5 3 5
2 1 5
3 1 5
0 0 4
10 4
3 2 0
2 2 1
2 2 3
0 3 3
2 0 2
0 2 2
0 0 0
1 1 2
2 1 2
1 0 1
10 8
0 3 0
3 1 1
2 1 2
0 2 2
3 2 3
1 1 1
0 1 1
2 2 3
1 3 0
1 3 3
10 5
2 3 2
3 0 1
1 1 2
0 0 3
3 1 1
1 2 3
0 1 3
1 0 0
0 0 2
2 0 2
10 9
2 2 1
1 4 0
3 4 3
1 4 2
4 1 0
3 0 4
2 0 4
4 4 4
4 0 0
4 4 0
10 2
0 3 0
2 1 3
1 0 2
4 2 0
4 0 4
0 3 4
4 0 0
3 2 3
1 4 0
2 4 3
10 9
0 0 1
0 1 2
0 1 0
1 1 0
1 2 0
1 0 1
0 2 2
0 1 1
2 2 2
0 2 0
10 3
4 4 2
3 1 3
2 1 4
1 4 1
0 1 2
3 4 0
3 0 4
4 2 4
3 1 2
4 4 4
10 9
2 0 3
0 1 0
0 4 1
3 0 2
2 4 0
2 3 4
2 3 3
3 4 0
3 4 2
1 3 1
10 2
5 1 2
3 2 2
4 0 1
1 5 1
4 5 4
5 0 0
2 5 2
4 4 5
2 5 1
1 0 5
10 4
2 1 1
2 0 0
1 2 1
0 2 1
1 0 0
1 1 1
0 1 1
2 1 0
1 1 0
2 2 0
10 2
2 3 1
1 4 2
4 0 2
0 5 5
1 1 5
0 0 1
5 3 2
5 5 2
0 3 5
3 1 0
10 5
4 0 1
3 1 3
2 0 3
0 2 2
3 2 4
4 2 2
2 3 2
1 0 2
2 2 3
2 1 3
10 9
0 1 2
4 3 4
4 3 3
2 0 5
1 5 4
0 1 3
3 5 0
4 1 3
3 0 2
5 5 4
10 3
4 3 1
2 0 1
0 2 0
2 4 4
2 2 2
3 2 4
0 3 2
4 4 0
2 2 1
2 1 1
10 8
1 2 2
3 0 3
0 2 0
0 1 0
4 1 3
0 4 3
4 3 1
4 4 3
3 3 1
4 1 1
10 9
0 3 3
0 1 1
1 3 0
3 2 3
1 3 3
0 2 2
0 1 3
2 2 2
2 3 0
0 2 0
10 3
3 3 3
0 2 1
2 0 2
4 4 4
1 4 2
1 4 0
0 1 0
3 2 1
3 4 2
0 4 3
10 6
1 1 0
3 1 1
2 4 1
0 1 4
0 0 0
4 1 4
2 2 1
4 2 3
3 0 1
1 3 2
10 3
3 3 1
2 2 4
3 4 2
2 0 0
3 1 4
0 2 1
3 3 3
3 0 1
2 3 1
3 4 3
10 9
0 2 2
0 0 2
1 1 2
2 2 0
2 0 1
1 2 1
0 1 2
0 2 0
0 1 0
1 1 0
10 9
0 0 2
2 3 3
1 1 0
3 3 2
2 2 2
2 1 1
3 1 1
2 3 2
3 3 3
2 2 1
10 2
4 5 0
0 5 2
0 3 5
2 3 4
2 4 5
1 3 0
1 0 3
4 0 3
2 2 4
3 1 1
10 5
1 1 2
2 0 1
1 3 2
2 0 0
3 0 2
3 1 3
2 1 1
2 2 1
0 3 2
1 2 2
10 9
2 4 2
0 5 3
3 3 0
1 1 2
3 1 5
3 4 3
4 3 0
4 4 2
1 2 2
2 1 0
10 5
1 3 1
1 0 0
0 0 3
1 0 2
0 2 2
1 2 2
2 0 1
0 2 0
3 0 3
2 0 3
10 4
5 0 4
5 0 5
1 4 5
2 0 0
2 3 2
3 4 2
3 5 1
2 1 4
5 4 1
0 3 0
10 6
5 2 4
5 0 3
5 4 4
2 3 5
3 5 2
4 4 2
0 5 3
5 0 4
5 4 0
0 4 1
10 7
2 2 2
1 2 2
0 0 2
2 1 2
2 2 0
0 2 2
0 1 2
1 0 1
1 1 2
2 0 2
10 6
1 0 3
2 2 0
3 3 1
3 2 2
0 0 0
0 1 0
1 0 0
1 3 2
1 2 2
0 3 2
10 7
3 0 3
5 5 4
0 1 4
1 0 5
1 2 0
1 1 2
0 4 5
3 2 4
3 1 3
0 1 0
10 5
1 0 4
1 4 1
0 2 0
0 3 4
4 3 4
4 2 3
4 2 1
4 3 2
2 0 3
4 4 2
10 8
2 2 4
3 5 0
4 3 1
2 1 3
2 1 5
0 4 3
4 4 4
1 5 1
1 1 1
1 2 0
10 5
0 0 3
2 2 2
3 0 2
1 2 0
1 3 1
2 0 3
0 2 3
3 3 3
2 1 3
1 2 2
10 5
0 1 2
2 2 1
1 2 0
0 2 0
1 1 0
0 0 1
1 2 2
1 0 2
2 0 2
1 0 0
10 7
0 1 2
0 0 1
1 1 2
2 2 2
1 2 2
0 0 2
2 2 1
2 1 2
0 2 2
1 1 1
10 8
1 4 0
5 0 5
1 3 3
1 3 4
1 4 4
3 2 3
0 4 1
0 3 3
4 2 3
1 5 1
10 7
3 0 2
3 4 0
5 5 2
4 0 2
2 1 5
1 0 3
0 0 2
5 0 3
0 3 4
4 0 5
10 5
1 0 0
2 0 0
1 2 1
1 1 2
2 2 1
2 1 0
2 2 0
0 2 1
1 2 0
2 1 2
10 9
1 5 1
2 0 4
1 5 0
1 2 5
3 3 2
5 5 3
1 1 4
2 1 2
4 3 1
4 4 3
10 7
0 5 2
2 3 3
5 4 3
2 1 2
4 5 2
5 1 2
2 0 1
1 2 4
1 2 1
1 4 1
10 4
0 1 0
0 0 2
2 1 1
0 2 0
1 2 2
1 0 0
2 2 2
2 2 0
1 1 2
1 1 1
10 6
1 3 2
3 4 2
4 3 4
2 4 0
3 4 4
3 2 0
1 3 3
3 0 1
3 3 1
2 2 2
10 8
2 3 0
0 0 2
1 3 2
3 0 1
1 3 3
2 0 1
0 3 0
1 1 2
1 0 2
2 0 2
10 6
3 4 2
3 4 4
3 0 0
4 0 1
0 0 1
0 2 2
4 3 2
3 4 0
3 4 3
1 3 0
10 8
1 0 0
0 1 2
0 0 1
2 0 2
1 1 1
1 0 1
2 2 2
0 1 1
0 2 1
2 2 0
10 4
2 2 4
4 3 0
4 0 3
1 2 1
1 0 4
3 1 0
4 2 3
2 1 2
0 4 3
4 4 2
10 2
1 2 1
0 1 2
3 0 2
3 1 3
1 1 3
2 3 2
4 0 3
4 2 1
2 0 3
3 2 1
10 7
0 0 3
1 2 2
2 3 3
2 2 0
1 2 1
2 0 3
0 3 0
2 3 0
0 0 0
3 3 2
10 8
5 0 3
4 4 3
3 2 4
4 5 1
5 1 0
3 5 5
0 3 3
0 3 5
5 2 4
4 4 2
10 8
3 3 3
1 0 3
2 2 0
0 1 3
3 1 1
1 2 1
2 3 3
1 3 2
3 2 2
0 2 3
10 6
1 0 3
1 2 2
2 2 3
1 3 2
3 0 1
1 0 0
0 0 1
3 1 3
2 0 1
2 1 2
10 3
1 2 2
1 1 1
2 0 2
3 3 3
1 2 0
3 4 4
0 2 4
0 1 2
4 4 4
1 1 4
10 2
5 0 4
0 4 4
1 1 3
0 2 1
4 4 5
4 2 4
2 2 1
2 2 3
3 3 3
2 4 4
10 4
3 0 3
0 0 0
3 3 3
1 2 3
0 4 4
1 2 4
1 3 1
3 4 0
0 1 4
4 1 0
10 7
2 3 2
1 1 4
0 4 4
0 2 2
4 2 0
2 4 1
4 3 2
3 4 1
4 4 3
4 2 1
10 3
5 5 3
4 5 1
5 4 1
2 4 3
0 5 5
5 1 2
4 2 4
1 2 2
3 2 3
1 3 3
10 7
3 0 0
0 1 0
0 2 0
2 0 3
3 0 3
3 3 1
1 3 0
0 2 3
1 2 1
1 2 3
10 4
1 1 1
3 3 3
2 1 0
4 1 1
4 1 4
4 4 2
4 0 1
2 4 1
2 1 3
3 3 4
10 7
1 1 0
3 1 0
0 3 3
2 2 3
3 3 2
2 2 2
3 3 1
2 3 1
2 0 1
2 1 1
10 9
4 0 0
1 0 1
3 3 0
2 4 2
3 4 1
4 0 4
0 4 1
0 0 3
1 0 3
3 4 2
10 5
1 2 0
1 3 1
3 0 1
2 3 2
1 3 3
0 2 0
2 1 3
0 2 3
0 3 0
3 3 2
10 3
2 3 3
1 1 4
3 1 0
2 1 4
2 3 1
3 2 2
1 4 1
2 1 3
0 1 1
0 4 2
10 8
1 2 3
1 3 2
4 0 2
2 1 3
4 1 4
1 4 2
2 2 2
3 4 1
4 3 0
1 2 4
10 5
4 0 4
1 2 2
4 3 2
0 4 3
4 2 0
1 2 4
0 2 1
3 2 3
3 2 4
4 2 4
10 7
2 1 1
1 1 2
0 3 3
1 2 0
3 2 0
3 3 2
2 0 1
1 0 2
3 2 2
1 2 1
10 2
2 0 1
1 2 1
2 2 0
1 2 2
0 1 0
0 0 0
1 0 0
0 2 0
1 1 0
2 0 2
10 8
0 0 0
2 0 1
0 1 0
1 2 0
2 0 2
0 2 2
0 2 1
1 1 0
1 2 1
2 2 0
10 6
4 0 0
0 0 4
3 1 4
0 1 0
4 3 0
0 1 4
2 1 0
1 4 2
4 2 4
0 0 2
10 7
0 2 2
0 2 0
2 0 1
0 1 0
2 0 0
1 2 2
0 1 2
1 0 0
0 0 0
1 2 1
10 8
4 1 0
0 3 1
1 2 1
4 3 0
2 2 0
1 0 0
4 0 3
2 4 3
2 3 0
1 1 1
10 7
0 1 0
2 0 4
4 0 3
1 4 2
1 0 2
3 2 4
1 1 1
1 2 1
2 3 0
4 1 3
10 6
0 0 1
2 1 2
2 2 1
1 2 0
2 0 0
1 1 2
0 2 1
1 0 0
1 2 1
0 1 2
10 7
2 2 1
2 0 0
0 1 0
1 2 0
2 2 0
1 0 2
2 0 1
1 2 2
1 1 2
0 1 1
10 9
4 2 1
3 3 2
1 2 3
4 1 3
5 0 3
0 3 0
3 4 1
5 3 1
0 3 1
3 5 2
10 3
3 1 0
2 2 1
1 1 0
3 1 3
3 3 0
2 3 0
3 2 1
0 2 3
3 0 0
3 3 2
10 8
0 1 2
2 1 4
2 2 1
3 0 3
4 2 1
1 4 3
0 4 3
4 3 4
1 4 0
4 3 1
10 7
0 2 3
3 1 3
0 3 0
2 1 0
1 3 2
2 4 1
1 4 2
0 2 1
3 2 0
1 0 3
10 9
0 0 2
1 3 0
1 2 4
2 4 0
4 1 3
1 4 0
1 2 0
1 1 4
2 2 0
0 1 4
10 5
1 4 5
5 0 3
1 4 1
4 3 2
1 2 3
1 3 3
2 5 0
3 4 2
0 1 0
2 1 5
10 5
2 2 1
0 1 0
1 1 2
1 0 0
0 2 2
2 1 1
0 1 1
0 1 2
2 0 2
0 0 0
10 9
4 1 3
0 4 0
0 0 3
4 1 4
2 2 4
2 1 3
2 3 3
3 4 3
2 2 1
3 0 3
10 6
2 3 2
1 1 3
0 0 3
3 3 0
0 2 2
3 0 1
2 3 1
0 2 0
2 0 0
1 3 2
10 8
2 2 0
0 1 1
1 1 2
0 2 1
2 1 1
0 0 2
0 0 0
2 0 0
1 2 1
2 1 2
10 6
0 3 3
0 3 0
5 1 3
3 4 0
4 0 4
1 2 4
5 3 3
1 2 0
4 3 2
1 3 5
10 2
4 2 2
2 3 5
5 0 0
3 1 5
0 0 3
3 2 5
3 4 4
2 5 4
2 4 2
1 3 1
10 4
3 3 1
2 3 3
1 2 3
2 1 2
3 1 3
0 1 1
2 1 3
2 3 1
2 2 2
3 0 0
10 6
3 1 2
0 2 0
2 0 1
1 0 3
2 1 1
2 3 2
0 1 1
2 2 1
0 3 1
2 1 3
10 4
0 2 2
2 2 2
2 2 1
1 0 2
2 0 2
1 2 1
1 1 2
0 0 2
2 0 1
2 1 1
10 4
1 0 0
0 0 3
3 1 2
2 0 3
0 3 3
3 2 2
2 2 1
0 1 0
2 1 2
0 1 2
10 9
3 3 0
4 4 1
3 1 3
2 1 4
2 3 4
4 1 3
2 0 0
2 2 2
1 1 4
1 1 0
10 2
0 3 3
1 4 3
0 3 2
2 0 2
0 2 3
5 5 5
1 5 4
3 4 0
0 4 0
4 3 5
10 8
3 0 2
1 2 0
0 2 0
2 0 2
3 2 3
3 2 0
1 2 3
2 3 0
3 2 2
2 2 3
10 5
2 1 1
2 2 2
2 0 0
1 1 0
0 1 2
0 0 2
2 0 2
1 2 1
2 1 0
0 0 0
10 4
3 3 3
2 0 1
3 3 4
4 4 4
0 0 3
4 4 0
1 3 4
2 2 0
2 0 4
4 2 2
10 2
3 1 3
1 2 2
2 3 0
2 1 2
3 1 1
1 2 0
0 3 3
1 1 2
2 0 2
0 1 0
10 9
0 3 3
4 1 1
2 5 5
1 0 2
3 5 2
4 3 2
1 3 0
1 0 0
2 0 4
3 4 4
10 8
1 5 5
5 2 4
0 0 2
3 0 5
3 5 1
2 1 4
3 5 4
2 1 5
2 5 2
3 4 5
10 8
5 2 2
0 4 2
1 1 0
1 0 4
4 3 3
1 4 5
4 3 4
0 5 1
0 1 4
1 5 0
10 8
1 4 4
1 2 2
1 4 1
3 1 4
3 2 2
3 0 2
0 3 1
4 0 4
3 0 4
2 4 0
10 9
2 0 3
2 0 2
3 0 3
3 0 0
3 1 2
3 0 2
1 0 3
1 2 0
2 0 1
2 2 3
10 7
3 0 0
0 2 2
2 2 3
2 2 2
2 2 0
3 2 3
0 3 3
2 3 2
0 3 2
3 0 1
10 8
2 2 1
2 1 0
0 0 1
1 1 3
2 0 3
2 3 2
3 0 1
2 0 2
3 3 3
0 1 0
10 3
4 4 2
4 1 2
4 3 0
4 4 1
0 2 0
0 4 1
1 1 1
3 4 3
3 4 2
1 3 4
10 9
4 0 1
4 2 0
5 3 5
0 4 3
0 2 5
2 2 4
4 1 2
3 0 0
5 3 0
5 4 5
10 9
2 1 1
1 0 1
0 0 1
1 0 0
0 1 1
2 0 0
2 2 2
2 1 2
1 1 0
1 1 2
10 6
1 0 0
1 1 1
1 2 0
0 1 2
1 0 2
2 1 0
0 1 1
0 0 1
2 2 2
0 2 0
10 9
1 1 4
1 2 3
5 3 5
0 4 2
3 5 1
2 5 1
4 5 1
5 3 3
2 3 1
0 5 4
10 3
1 0 1
0 0 0
2 2 1
1 2 0
1 1 2
0 1 1
0 2 0
1 1 1
2 0 0
0 2 2
10 6
0 1 2
1 3 0
2 0 0
2 1 0
0 3 3
2 0 3
3 1 0
1 1 2
0 0 1
1 1 1
10 3
0 2 2
3 2 1
4 4 4
0 0 2
3 4 4
3 0 1
3 2 0
4 0 0
0 3 4
3 0 4
10 2
0 2 3
4 5 3
0 5 3
5 2 2
1 4 4
1 5 5
3 5 0
0 4 0
2 1 2
2 2 2
10 2
1 2 2
0 2 3
3 0 0
0 1 3
1 0 2
0 0 0
1 3 3
0 3 1
3 3 0
2 1 0
10 6
0 1 0
3 0 3
3 3 1
1 0 0
2 2 2
1 3 1
1 0 1
3 1 0
0 1 3
0 2 1
10 9
0 0 1
1 1 1
0 2 0
0 0 2
2 0 0
2 2 0
2 0 2
1 1 0
1 2 1
0 1 1
10 5
3 5 4
0 2 3
2 3 0
2 4 1
2 1 0
1 5 3
4 2 5
5 0 0
4 2 3
0 1 2
10 9
1 4 2
4 2 3
1 0 3
3 1 0
1 0 4
3 3 3
0 4 0
3 2 3
1 1 2
4 3 2
10 8
2 1 1
2 2 0
1 2 2
2 1 2
2 0 1
1 2 1
1 2 0
0 0 1
0 2 1
1 0 2
10 3
0 1 2
0 2 1
1 1 2
0 2 0
1 2 2
1 2 1
0 2 2
0 1 0
2 2 0
0 1 1
10 7
0 1 2
2 0 1
1 1 0
2 1 1
2 2 1
2 0 2
0 2 0
2 2 2
2 1 0
1 1 2
10 5
4 4 4
0 4 2
4 4 3
3 4 2
3 4 1
3 1 4
2 3 4
2 0 0
2 1 0
1 4 4
10 6
0 1 0
2 0 0
2 0 1
1 0 0
2 0 2
0 2 2
1 1 0
0 0 0
0 1 2
2 1 2
10 9
2 4 5
2 5 0
2 5 4
3 0 0
4 0 5
3 3 0
0 5 1
0 4 5
5 5 0
4 3 4
10 5
1 3 3
2 1 4
4 5 4
5 3 2
3 4 5
2 5 1
2 2 5
3 2 0
5 3 1
4 3 1
10 5
2 1 1
2 0 2
0 0 1
1 2 2
2 1 2
0 2 1
1 1 2
0 2 0
1 2 1
2 2 2
10 9
2 3 4
5 5 4
2 0 1
0 5 2
2 4 3
5 4 0
4 1 5
4 2 0
5 1 3
5 3 5
10 8
2 1 1
1 2 2
1 1 0
1 1 2
2 0 0
1 1 1
0 2 0
1 2 1
1 0 1
2 1 2
10 2
2 2 2
4 1 0
0 3 0
1 4 1
2 3 4
1 0 3
1 4 2
4 1 4
1 1 1
3 3 2
10 2
1 2 2
4 4 2
2 3 1
0 3 0
3 3 5
0 2 3
5 0 3
2 4 3
1 0 0
5 5 3
10 2
3 1 2
0 1 2
3 2 2
2 1 3
0 3 1
3 1 1
0 0 3
0 2 3
0 2 2
1 3 1
10 7
4 1 3
3 4 5
3 1 4
3 4 3
0 5 4
5 4 3
5 0 1
0 0 2
4 2 3
5 5 0
10 5
3 2 2
1 3 0
2 3 3
1 0 0
3 1 1
2 3 0
2 0 0
2 2 3
3 3 0
0 3 1
10 2
3 1 0
0 2 1
3 1 1
0 1 1
2 2 1
1 0 1
2 1 3
0 3 1
0 3 2
3 2 3
10 4
2 1 3
1 1 1
1 0 3
0 1 2
2 2 1
1 0 2
0 3 2
3 0 2
3 0 0
3 2 0
10 6
2 0 3
1 3 1
3 2 1
3 3 3
1 0 1
3 2 2
3 1 3
2 0 1
2 3 1
1 0 2
10 6
3 2 3
2 0 0
1 3 3
2 2 0
0 0 3
2 0 3
3 3 1
0 2 1
1 2 1
2 0 2
10 9
0 1 2
0 2 1
2 2 1
1 1 2
2 1 1
0 0 1
2 0 0
0 1 0
0 2 2
0 2 0
10 2
0 2 1
1 1 1
2 0 2
0 0 0
0 2 2
2 1 0
2 1 2
0 0 2
0 1 2
1 2 2
10 4
2 1 2
1 1 2
1 1 0
0 2 0
1 0 2
2 2 0
0 1 1
1 0 1
1 1 1
2 0 1
10 2
4 0 2
4 3 4
2 4 4
2 3 2
4 4 2
0 1 2
3 2 0
0 0 1
2 0 4
4 2 1
10 2
0 1 5
5 5 1
3 2 5
2 2 0
5 3 3
0 4 4
3 1 1
4 3 2
5 1 0
0 4 1
10 3
1 2 0
2 1 1
2 1 2
1 1 1
1 2 1
1 0 1
0 1 2
1 0 2
0 0 1
0 1 1
10 3
2 0 0
1 0 1
2 3 2
2 1 2
3 3 3
1 2 3
1 0 0
3 2 2
0 2 1
0 2 0
10 8
2 1 0
0 3 1
2 0 2
5 4 1
0 0 2
1 4 2
3 2 2
3 1 4
4 1 2
3 1 2
10 2
0 0 0
2 1 1
1 0 0
0 0 1
2 1 2
1 0 2
0 2 1
2 0 1
0 2 2
2 0 2
10 5
2 1 4
1 2 0
1 0 3
2 4 4
1 2 2
0 1 4
1 1 0
0 1 0
1 3 2
2 4 3
10 6
1 3 4
0 3 0
0 1 3
3 4 2
3 3 2
0 0 0
3 4 0
0 1 2
0 0 4
3 4 4
10 6
2 0 1
1 2 1
2 2 0
1 2 2
0 2 2
1 1 2
1 1 1
0 0 2
0 1 2
1 2 0
10 7
1 1 0
0 1 0
3 1 1
2 0 1
0 2 2
0 0 4
2 4 0
4 3 1
4 0 0
3 4 3
10 7
0 2 2
2 2 0
1 2 0
1 0 2
2 0 1
1 1 2
1 1 0
2 2 1
2 1 2
0 2 0
10 3
2 0 0
3 3 1
2 1 3
1 2 3
1 3 0
3 2 1
0 2 0
1 2 2
0 2 1
0 3 2
10 8
4 2 3
4 4 3
4 0 2
5 0 1
5 0 0
4 0 5
5 4 4
0 0 4
4 2 2
1 5 5
10 3
1 2 5
1 1 0
1 2 0
3 1 3
3 4 5
2 1 5
1 3 0
2 0 4
1 5 0
4 4 3
10 8
0 2 1
1 1 0
0 2 2
0 0 2
1 2 2
0 0 0
2 2 1
2 1 0
0 0 1
2 1 1
10 3
4 4 4
4 3 4
2 3 0
2 4 3
3 0 0
3 0 4
1 1 4
2 4 0
4 4 2
3 0 3
10 9
2 4 3
4 1 3
3 1 0
1 3 1
1 1 1
4 0 4
4 3 3
2 4 2
1 2 0
3 2 0
10 8
0 1 1
3 3 1
0 2 3
2 3 3
3 3 2
2 0 0
3 1 1
3 2 1
1 2 2
2 0 2
10 6
1 0 0
2 0 0
0 0 2
2 0 2
0 1 0
0 1 1
2 1 0
0 2 0
0 2 2
0 0 1
10 6
3 1 1
1 3 2
0 3 1
2 2 1
3 3 2
3 0 3
1 3 0
3 3 1
3 3 0
1 3 1
10 7
0 0 4
2 5 4
0 0 2
5 5 0
0 5 2
2 1 1
3 3 5
5 4 0
1 2 1
1 5 4
10 4
3 1 2
4 0 4
3 4 2
0 2 2
4 0 3
1 1 1
2 2 0
2 2 4
4 3 0
4 4 0
10 2
1 1 0
2 0 2
0 0 1
2 2 1
1 2 1
2 1 0
2 1 1
1 0 1
0 1 1
0 2 1
10 9
2 1 2
0 0 0
2 2 0
2 1 1
0 2 1
0 0 2
0 0 1
0 2 0
2 2 1
2 0 2
10 4
2 2 1
4 1 0
5 2 4
0 4 5
0 5 0
2 4 3
2 2 3
2 0 1
4 4 4
2 3 0
10 9
2 2 2
1 0 1
1 1 2
1 2 0
0 0 1
2 1 2
2 0 2
1 2 1
0 1 1
2 2 1
10 7
2 3 1
3 3 1
1 0 1
3 1 3
3 2 3
2 1 0
2 0 3
3 2 0
0 3 3
0 1 3
10 6
4 0 1
4 2 2
1 3 2
2 2 0
1 2 0
4 2 1
2 1 1
4 2 4
3 3 2
3 2 1
10 2
2 2 2
1 0 2
1 0 0
0 0 2
2 0 1
2 0 2
1 1 0
0 1 0
2 1 2
0 2 0
10 8
5 2 5
0 4 4
4 1 4
5 0 1
4 5 1
5 0 5
4 3 4
5 3 3
1 0 3
5 3 0
10 9
2 5 4
2 1 0
5 3 2
1 1 3
0 1 1
0 1 5
2 4 1
1 2 4
0 4 2
3 4 2
10 7
1 2 5
1 2 0
4 1 5
2 2 1
0 2 2
5 4 4
4 5 0
1 1 1
1 1 0
5 5 2
10 5
1 3 3
0 2 0
0 1 1
2 2 1
2 3 2
3 1 2
3 0 2
2 1 3
3 3 3
1 2 1
10 9
3 0 3
2 1 1
2 1 3
3 3 0
0 3 3
3 3 2
0 3 2
3 1 3
1 0 0
0 0 2
10 5
1 1 2
2 2 0
0 0 0
1 2 0
1 0 2
0 2 1
2 2 1
0 0 1
1 0 0
2 0 1
10 5
2 0 3
0 3 2
1 4 5
1 1 5
0 1 3
5 0 0
0 0 1
2 1 1
2 2 4
0 3 3
10 8
1 1 2
3 0 0
2 1 3
0 0 0
1 2 1
2 2 1
3 2 3
2 2 3
1 2 0
3 3 2
10 3
4 0 2
4 1 1
1 4 2
1 4 0
2 4 2
0 1 4
2 3 0
2 0 2
4 3 2
0 2 4
10 6
1 2 0
1 2 1
1 0 1
0 2 2
2 0 0
2 0 1
2 1 2
0 1 1
2 2 0
0 2 0
10 8
0 4 0
3 4 3
5 3 0
5 1 0
0 1 2
0 4 3
4 0 0
4 2 4
3 4 5
3 1 4
10 3
2 4 0
4 3 1
0 3 1
4 1 4
2 2 3
4 2 2
1 3 4
1 0 0
3 1 1
4 4 1
10 6
1 2 3
0 4 0
5 4 4
1 0 4
1 3 5
3 2 0
4 0 0
3 1 1
2 2 0
4 4 2
10 3
1 1 0
2 0 1
2 1 0
0 1 0
0 1 2
0 0 0
1 2 0
2 0 2
2 1 1
1 2 1
10 8
0 2 0
1 1 0
0 2 2
2 1 2
1 0 0
2 0 0
1 0 1
2 0 1
1 2 1
0 1 1
10 7
2 0 4
2 3 1
5 3 2
0 2 2
3 1 4
1 2 5
1 0 4
4 5 0
5 3 4
4 3 1
10 4
3 0 1
1 5 2
2 1 1
5 4 4
1 4 3
1 2 1
4 0 1
2 0 4
0 5 3
1 1 3
10 2
4 4 5
0 3 0
0 1 4
4 0 3
3 2 5
5 3 0
4 1 0
0 2 5
5 1 3
2 3 3
10 7
0 2 4
1 0 4
0 4 0
1 3 3
3 4 1
4 1 1
0 1 4
0 1 2
1 0 0
4 0 2
10 5
4 5 5
0 2 1
4 4 0
2 3 4
0 0 0
5 5 2
4 0 0
5 1 0
5 3 3
2 4 2
10 5
1 2 1
2 1 1
0 2 1
0 1 2
2 0 0
2 0 2
2 1 2
1 2 0
0 0 0
2 2 0
10 2
0 4 5
0 4 0
3 4 5
3 4 1
0 2 1
1 3 0
5 5 2
0 5 1
4 4 5
3 2 2
10 6
3 5 1
4 0 1
4 2 3
2 4 1
5 5 1
2 0 2
2 4 2
1 4 5
5 1 2
0 0 1
10 6
2 1 3
4 1 3
1 3 1
3 1 4
2 3 2
3 2 5
1 5 0
4 1 1
0 0 2
1 2 2
10 3
1 1 1
2 2 2
1 0 1
0 1 2
0 1 0
1 1 2
1 2 2
1 0 0
0 2 1
2 0 2
10 7
5 5 3
2 4 4
0 1 3
2 1 0
2 3 5
5 1 4
4 2 4
4 4 2
3 2 3
1 3 0
10 3
1 2 3
4 0 2
2 0 3
0 5 5
5 4 2
3 3 3
4 0 0
1 5 0
3 5 2
3 3 4
10 5
3 1 4
0 1 0
4 1 0
0 3 3
2 2 0
1 1 2
2 2 4
3 3 4
2 0 0
1 3 4
10 6
3 0 0
3 3 0
0 3 2
3 4 4
3 1 2
4 0 2
4 0 3
3 5 4
2 0 4
3 1 0
10 2
1 2 0
1 1 1
0 1 0
0 0 2
2 2 2
1 0 1
2 1 1
1 1 0
0 2 1
1 2 1
10 5
3 2 3
5 5 1
2 4 1
0 4 3
5 4 3
3 2 0
4 4 5
4 4 3
2 2 2
4 3 5
10 6
3 0 0
2 1 0
0 3 2
2 0 1
1 3 1
1 3 2
0 0 1
0 3 3
0 1 2
1 1 3
10 2
1 2 2
0 2 1
0 2 2
0 3 3
0 2 0
1 1 1
1 1 2
3 3 3
1 1 0
0 2 3
10 2
3 1 2
1 0 2
1 2 3
0 2 3
3 2 3
0 1 3
0 1 1
1 0 0
0 2 2
2 2 0
10 8
2 2 2
2 1 0
1 2 0
0 1 2
1 0 0
0 1 1
2 2 1
0 1 0
2 2 0
1 0 1
10 4
3 0 2
1 0 1
0 2 3
0 1 1
3 2 3
2 0 1
0 0 2
1 1 0
0 1 0
3 3 0
10 5
4 5 5
0 4 3
3 5 0
3 5 3
0 1 5
3 4 2
1 2 4
0 3 4
0 3 5
2 1 0
10 7
3 3 0
4 2 1
0 4 4
1 1 0
3 0 4
2 1 3
2 4 0
4 2 0
3 2 1
0 1 0
10 7
1 3 0
0 2 4
1 1 2
4 3 2
3 1 2
3 3 2
4 2 0
4 0 2
1 4 2
2 2 4
10 3
4 1 3
0 0 0
4 4 1
4 3 0
4 0 3
2 4 2
4 4 3
4 0 0
3 3 2
3 1 0
10 4
0 4 3
0 0 4
3 2 3
5 3 3
3 3 5
3 5 0
1 2 0
5 4 1
1 1 1
4 5 4
10 7
4 1 4
2 0 4
1 1 0
0 3 0
4 3 4
2 1 3
1 4 1
4 0 0
1 1 4
4 4 3
10 7
1 5 3
1 0 5
0 5 3
3 5 4
4 4 3
0 4 4
1 3 1
5 5 5
0 2 4
4 2 5
10 4
1 0 2
0 0 2
2 1 1
2 2 1
1 1 0
2 2 0
2 0 2
1 0 0
1 0 1
1 1 2
10 5
3 2 2
3 1 2
0 3 3
1 1 3
1 4 0
3 1 3
4 3 0
3 4 0
0 3 4
4 4 2
10 7
3 2 2
1 1 3
0 3 3
0 1 3
3 2 0
2 3 1
2 0 0
2 0 2
0 3 2
2 2 0
10 3
0 3 0
3 2 2
2 0 3
3 1 0
1 2 0
0 2 1
2 1 0
0 2 2
2 3 0
1 0 0
10 2
0 0 1
2 0 0
2 1 0
1 0 2
0 1 1
0 2 2
0 0 0
0 2 0
1 0 0
2 2 0
10 3
2 2 1
3 1 2
1 1 1
1 0 0
2 2 2
0 1 1
1 2 0
1 2 3
3 3 3
0 1 0
10 6
0 3 2
4 0 3
2 3 0
2 1 2
1 0 1
3 2 0
4 1 3
2 3 1
2 4 4
2 0 2
10 2
0 0 3
1 2 1
3 0 0
1 0 0
3 0 4
3 0 2
1 0 4
1 0 2
4 4 0
1 3 0
10 7
2 1 3
3 4 0
4 1 1
3 2 4
0 3 3
1 2 4
4 1 4
3 1 2
4 2 2
0 1 4
10 3
1 1 2
1 0 1
1 1 0
2 0 2
0 2 2
0 1 1
1 0 0
0 1 0
2 0 1
0 0 1
10 9
1 3 3
2 1 0
3 3 0
1 1 0
2 2 2
1 0 2
1 0 3
1 2 1
2 1 1
0 3 1
10 7
2 0 3
0 1 1
3 3 2
1 2 1
1 0 2
2 2 0
0 3 0
3 2 0
2 1 0
2 3 0
10 8
3 2 1
1 0 0
0 2 1
1 3 1
0 2 2
2 0 1
0 0 3
3 2 0
3 1 2
3 2 2
10 5
0 1 1
0 1 2
2 2 0
2 0 2
1 0 0
0 0 0
1 0 2
0 2 1
1 1 2
0 2 2
10 8
0 3 3
3 2 2
2 0 4
3 2 0
1 2 4
3 1 4
1 4 3
0 4 3
3 0 1
3 1 1
10 4
1 3 1
1 1 2
0 0 3
3 1 1
2 2 2
1 0 1
1 3 0
0 0 0
1 2 3
2 2 1
10 7
2 0 0
1 1 4
1 0 0
4 2 3
3 4 0
0 4 0
4 1 0
1 2 1
3 4 4
1 0 1
10 3
1 1 1
3 2 2
1 1 2
3 1 2
1 3 0
1 0 3
0 1 1
2 1 3
0 1 2
0 3 3
10 7
1 2 2
0 4 3
3 4 0
1 4 3
3 0 4
0 1 4
3 1 1
2 0 2
4 0 3
1 4 1
10 4
2 2 2
0 1 1
0 0 0
0 2 1
0 1 2
2 0 0
2 1 1
0 1 0
1 0 2
1 0 0
10 6
0 1 1
2 0 2
1 2 1
2 2 0
0 2 0
2 1 0
2 1 2
0 1 2
1 0 1
2 2 1
10 5
1 1 2
2 0 0
1 5 4
5 1 2
1 4 3
0 5 5
3 2 0
2 5 1
3 2 3
3 5 4
10 4
0 1 1
2 3 3
0 0 0
2 0 1
0 3 2
1 2 0
2 1 2
2 1 1
3 2 0
2 3 0
10 2
2 1 0
0 0 1
0 1 0
1 0 2
2 2 1
0 1 1
2 1 2
0 2 1
2 0 1
1 0 1
10 5
2 3 3
0 3 3
3 3 0
1 1 3
0 3 0
1 1 2
0 0 0
0 2 0
2 0 3
0 0 2
10 8
0 0 1
1 0 2
1 1 1
2 1 0
0 2 2
1 1 0
2 0 2
2 1 1
1 2 0
0 2 0
10 2
0 1 2
1 2 0
2 1 0
1 0 2
2 0 2
0 0 1
1 0 1
1 1 1
2 1 1
1 1 0
10 6
1 0 0
2 2 0
1 0 2
2 1 1
0 2 2
2 0 2
0 1 0
1 2 2
1 1 0
1 1 2
10 4
5 1 1
5 1 3
3 5 1
3 0 4
2 0 3
3 0 3
1 5 3
3 0 2
2 1 1
4 3 5
10 8
0 1 2
1 1 2
0 2 0
0 0 1
0 0 2
1 2 1
2 0 0
1 1 0
1 0 1
1 1 1
10 3
1 0 1
1 2 1
1 1 2
0 1 0
2 2 1
0 1 2
1 2 0
1 0 2
0 2 2
0 0 0
10 6
0 0 2
2 4 4
1 2 1
5 0 5
4 3 5
4 3 2
0 0 4
2 0 1
5 5 1
1 1 5
10 6
2 0 2
1 1 1
0 0 2
2 0 1
0 1 1
0 2 0
2 0 0
0 2 1
2 1 2
2 1 0
10 3
2 2 1
1 2 2
2 1 1
0 2 2
2 0 0
1 1 1
0 1 2
1 0 0
0 2 0
2 2 0
10 7
1 1 0
0 0 0
0 2 1
0 0 1
1 2 2
2 1 0
2 2 0
0 1 2
1 0 1
1 2 1
10 5
2 1 1
2 2 1
2 1 2
2 2 2
2 1 0
2 0 1
0 1 0
1 2 1
0 2 0
0 2 2
10 4
1 1 0
3 2 0
0 3 3
1 2 1
0 1 2
3 0 2
2 1 3
3 2 2
2 3 1
1 1 2
10 3
0 1 2
1 0 0
0 2 0
2 1 2
1 2 2
1 1 1
1 2 0
1 0 1
2 2 0
2 2 2
10 4
2 1 3
2 1 0
3 0 1
2 2 1
3 3 1
0 2 2
0 2 0
0 1 3
1 1 0
3 1 2
10 8
5 0 4
2 5 5
2 0 5
3 1 1
2 3 2
0 5 4
5 5 2
4 1 5
5 5 5
5 2 2
10 5
2 1 1
1 2 1
3 1 2
2 3 1
2 1 0
1 2 0
2 0 3
1 3 2
3 1 3
2 0 1
10 3
0 2 0
2 1 2
0 1 0
1 0 1
1 1 2
2 2 1
1 0 0
2 0 2
1 2 0
1 2 1
10 9
3 3 3
2 0 0
1 1 1
3 1 3
2 0 2
0 0 1
2 1 0
2 1 2
1 1 2
3 1 0
10 6
4 0 1
0 4 3
0 0 5
2 2 5
5 0 5
5 4 4
2 3 0
1 1 2
3 0 3
5 2 0
10 4
3 1 2
3 0 5
0 5 5
1 1 2
4 0 4
2 0 4
1 2 2
2 0 3
0 2 1
4 4 2
10 9
3 3 0
3 1 3
0 2 2
3 0 2
3 1 2
0 1 2
1 2 2
1 1 3
3 0 3
3 2 2
10 5
0 0 2
1 0 2
0 0 0
1 0 1
2 2 1
2 1 0
1 2 2
0 1 0
0 0 1
0 2 2
10 9
4 1 3
4 0 4
4 5 0
4 1 1
0 1 5
1 3 0
5 5 4
2 4 3
5 4 3
1 5 4
10 6
1 2 1
1 1 1
1 0 2
2 2 0
2 0 1
2 2 2
2 2 1
2 1 0
0 2 2
2 0 2
10 9
1 2 0
2 0 2
0 2 1
1 0 0
1 0 2
2 2 0
2 1 2
0 2 2
2 1 1
0 0 2
10 9
1 2 2
2 1 1
0 0 2
2 2 2
0 1 0
1 2 1
2 0 1
2 2 1
0 2 0
1 0 2
10 3
2 2 1
1 2 0
1 2 2
0 1 0
2 0 1
2 2 0
1 1 1
2 0 0
1 2 1
2 1 2
10 6
1 3 2
2 3 0
3 0 4
2 4 3
3 0 1
2 0 2
4 2 1
1 1 4
1 2 0
0 4 0
10 6
4 1 2
3 2 2
0 1 0
2 1 2
3 1 0
3 2 3
2 1 4
3 0 0
3 4 2
0 2 2
10 5
1 1 1
4 1 3
4 4 2
0 1 0
3 0 4
0 3 3
0 3 0
4 1 2
0 1 3
1 4 2
10 8
4 1 1
3 0 0
0 1 1
4 3 0
2 3 2
4 4 3
2 3 1
1 3 0
3 3 1
1 0 2
10 2
1 1 1
3 3 3
3 1 2
1 2 1
3 2 1
3 3 1
2 2 3
0 0 2
3 0 1
1 1 2
10 5
1 1 2
1 0 1
2 2 1
1 0 0
1 2 0
1 2 1
2 1 1
1 0 2
0 1 2
2 0 2
10 6
3 2 0
0 1 1
1 0 0
0 2 2
3 2 3
2 0 0
2 2 2
2 1 0
0 1 0
0 0 3
10 5
2 1 0
2 1 2
2 2 0
0 1 2
1 0 1
1 2 0
1 1 2
0 2 2
2 0 0
1 0 0
10 4
1 1 1
3 3 1
1 0 3
3 3 2
1 3 1
0 3 0
0 2 1
2 1 3
0 1 3
0 1 0
10 8
2 4 2
3 0 1
0 2 1
2 4 4
1 0 3
2 4 3
1 2 2
1 3 3
1 1 0
4 1 1
10 9
0 3 3
2 2 2
0 0 2
3 0 2
2 3 1
2 1 3
1 1 0
0 0 1
0 1 2
2 1 2
10 8
0 2 0
2 1 0
0 1 0
2 1 2
0 0 1
2 0 2
1 1 1
1 2 0
0 2 1
1 2 2
10 3
0 0 2
1 2 3
2 1 2
0 1 0
2 2 1
1 2 1
3 0 0
1 3 2
2 1 1
0 2 2
10 6
5 3 4
2 0 1
5 5 0
3 4 0
3 3 5
4 0 2
4 2 2
5 4 0
5 2 0
3 5 3
10 8
1 0 0
2 1 0
2 0 0
1 1 2
1 2 1
2 2 0
2 0 2
1 2 2
0 1 2
1 1 0
10 6
3 4 0
0 4 1
4 3 2
0 2 3
1 2 0
1 0 1
1 4 2
0 0 4
3 3 0
3 3 2
10 5
2 2 3
0 1 4
3 2 2
0 2 3
2 3 5
3 5 5
4 1 5
5 4 5
1 4 0
1 3 3
10 7
4 4 2
3 3 4
3 4 3
4 3 2
4 4 1
4 2 1
3 4 2
3 4 1
1 2 4
0 2 1
10 8
3 3 0
1 0 4
3 4 5
1 1 3
3 3 2
1 1 5
4 3 1
1 3 5
2 4 3
5 1 1
10 6
1 0 2
2 2 0
1 0 3
3 0 0
2 0 4
1 1 3
3 2 2
2 0 2
2 3 0
4 4 2
10 7
2 1 1
2 2 0
2 1 2
1 1 1
3 1 2
0 2 1
2 3 0
1 3 2
0 3 2
2 0 2
10 3
0 2 2
2 1 0
1 1 0
0 0 1
2 2 0
1 0 0
1 2 0
0 1 0
1 0 1
1 2 2
10 2
3 1 1
2 2 0
5 5 1
4 1 5
4 4 3
2 1 0
5 0 4
4 2 4
1 2 2
4 5 4
10 7
1 2 0
2 0 2
2 2 2
1 1 2
2 1 2
0 0 1
0 2 0
2 2 0
2 1 0
2 0 0
10 7
0 1 1
2 0 2
1 2 0
0 0 0
2 2 1
0 2 2
2 0 1
1 1 0
2 2 2
0 2 1
10 6
2 3 3
1 3 3
4 2 1
3 1 0
4 3 4
1 3 4
1 3 1
2 4 4
1 0 1
4 1 2
10 9
3 0 2
1 0 2
2 0 1
2 2 3
1 1 0
2 3 3
2 0 0
2 1 2
3 1 3
3 2 3
10 8
4 2 1
3 3 4
4 1 1
0 3 4
1 4 4
3 4 2
4 2 2
2 4 1
1 3 2
2 1 4
10 8
3 3 1
2 0 0
3 2 1
0 3 0
1 3 0
2 2 3
3 1 1
2 3 1
0 3 3
0 3 2
10 6
0 0 1
0 0 2
0 1 0
1 0 2
1 1 0
2 0 2
2 2 1
2 2 0
0 2 2
1 0 1
10 7
3 1 1
4 1 1
1 0 4
2 0 1
0 3 2
4 4 3
0 1 3
0 3 1
1 4 2
2 0 2
10 7
0 2 3
3 0 4
4 1 4
3 0 0
2 0 0
0 2 0
4 4 4
0 1 0
2 4 2
3 2 0
10 4
0 0 1
2 1 2
1 0 1
2 2 2
0 1 2
0 1 1
0 2 1
0 2 2
2 2 0
1 1 2
10 3
0 5 5
3 3 5
0 4 2
2 3 5
2 4 0
4 4 2
0 5 0
4 3 1
1 3 4
5 1 1
10 7
1 2 1
2 2 1
1 0 2
0 2 0
2 1 1
1 1 2
1 0 1
1 2 0
0 0 0
1 0 0
10 3
2 1 3
0 4 3
2 1 0
5 4 4
2 4 5
0 0 0
4 0 1
0 5 3
5 2 3
3 1 1
10 2
1 2 2
3 4 2
0 2 2
1 0 1
0 4 4
0 3 3
3 4 3
3 2 3
2 0 0
2 4 1
10 9
2 1 4
0 1 0
3 3 0
4 3 2
4 1 1
1 3 2
4 4 1
1 2 4
2 2 1
3 0 0
10 9
1 0 2
4 1 2
2 3 0
1 1 4
4 2 4
0 4 3
2 2 3
0 3 0
4 3 0
2 2 4
10 4
0 4 1
4 1 2
1 3 0
1 1 4
2 4 4
4 3 4
0 3 2
2 0 4
4 3 2
4 4 4
10 6
1 1 0
3 0 1
4 3 4
1 3 3
3 3 1
4 3 0
3 2 0
0 1 0
2 0 4
0 1 4
10 7
0 3 2
0 1 1
2 3 0
2 3 2
3 3 3
0 2 1
3 2 3
1 0 2
2 2 2
0 3 3
10 6
0 2 4
1 5 5
3 4 4
5 3 0
0 4 1
0 1 5
4 3 4
3 4 3
1 1 4
4 4 0
10 9
3 3 5
0 4 5
3 0 2
5 0 1
0 2 1
1 1 3
5 4 5
0 3 0
1 4 3
3 2 4
10 3
1 1 2
0 2 2
0 0 1
0 1 2
1 2 0
1 1 1
1 0 2
2 1 2
2 1 0
2 0 1
10 9
0 2 2
1 1 0
1 2 0
2 2 0
0 3 3
2 1 0
1 0 0
0 2 0
2 0 3
1 2 2
10 7
4 4 0
4 0 4
2 4 3
1 3 3
3 4 3
0 4 2
2 1 3
1 3 4
0 0 2
1 2 3
10 2
0 1 0
1 2 1
5 1 2
5 2 4
1 3 0
2 2 1
2 4 3
4 2 4
1 2 2
5 2 1
10 7
1 2 2
1 0 3
0 1 3
1 0 0
3 2 0
3 2 2
0 3 3
1 1 3
1 2 1
2 1 1
10 7
0 1 1
4 1 1
4 1 3
2 2 0
0 2 2
1 0 3
4 2 4
2 0 0
3 4 2
1 2 4
10 3
2 0 3
3 2 0
2 1 0
2 2 0
2 3 1
3 1 0
0 3 3
0 0 0
3 3 3
0 0 2
10 9
1 0 3
2 4 2
2 0 1
1 1 1
1 2 2
0 4 1
2 4 3
1 0 0
4 3 3
4 4 2
10 2
2 1 0
2 2 0
1 0 1
0 1 2
0 0 2
1 1 0
0 1 1
0 2 0
2 0 2
2 1 1
10 7
1 1 2
1 3 0
1 2 1
4 4 2
3 2 2
0 4 3
1 4 4
4 0 2
0 3 0
1 1 1
10 4
4 2 3
1 0 4
4 1 1
0 1 2
2 2 3
3 2 1
0 4 4
4 0 0
2 1 3
1 4 0
10 5
0 1 1
0 2 1
1 1 0
0 1 2
1 2 0
2 2 3
3 3 3
2 3 3
3 1 2
2 2 0
10 3
5 1 4
2 0 3
2 2 3
1 5 0
5 1 3
2 0 5
4 2 3
5 0 1
2 2 0
3 1 4
10 2
0 2 4
1 2 4
2 3 2
2 1 2
4 2 1
3 4 0
2 2 3
4 0 4
4 2 4
4 1 3
10 2
1 0 0
2 1 1
2 1 2
2 2 0
1 0 1
0 1 2
0 0 1
2 0 2
0 1 1
0 0 0
10 8
2 2 1
2 1 0
0 1 2
0 2 2
1 0 1
1 2 2
0 0 2
2 1 2
1 1 2
0 0 0
10 4
2 1 3
2 5 1
5 4 3
2 4 4
3 4 3
4 0 5
0 3 0
5 3 2
5 4 4
5 2 4
10 6
3 2 0
2 1 1
1 1 0
0 1 1
3 0 3
0 1 2
1 3 2
1 3 3
2 2 1
0 0 0
10 5
0 3 2
2 0 0
1 0 1
1 3 1
0 3 0
0 1 1
2 3 0
3 2 2
1 0 3
0 0 0
10 3
1 0 2
2 1 2
2 0 0
1 0 0
1 1 1
0 0 0
1 2 2
1 1 2
0 2 2
0 1 0
10 9
3 3 0
2 3 2
0 1 0
1 0 3
2 1 3
2 3 0
2 0 3
1 2 1
1 1 2
2 3 1
10 9
1 3 2
5 1 1
1 3 3
3 5 5
3 2 2
1 4 1
0 1 0
2 3 3
1 5 2
0 2 2
10 7
3 5 2
0 0 4
2 5 5
1 1 2
1 0 5
1 1 3
2 0 2
1 3 5
3 3 0
0 5 2
10 4
1 2 2
0 0 2
2 1 2
0 1 2
2 2 1
1 0 0
1 0 2
0 0 1
2 0 0
1 1 1
10 3
2 0 3
2 4 4
3 2 1
0 0 2
1 1 3
2 3 1
1 4 0
4 0 4
3 0 3
3 0 4
10 6
3 0 2
2 3 2
2 0 1
3 2 3
0 2 1
1 3 3
0 0 2
1 0 1
2 1 3
2 2 3
10 9
0 0 0
2 0 1
1 1 2
1 2 0
1 0 0
2 0 2
0 2 1
1 1 1
1 2 2
0 0 1
10 4
0 2 0
1 2 1
2 0 0
1 2 0
0 1 2
2 1 0
2 1 2
2 0 1
1 1 0
1 0 1
10 8
1 4 1
4 3 4
1 0 3
1 1 5
3 0 1
3 0 5
0 1 4
4 3 0
2 1 5
3 4 5
10 3
2 2 1
1 0 1
1 0 0
0 2 0
2 0 0
1 1 2
0 0 0
2 1 2
2 2 2
2 0 1
10 4
4 2 1
2 4 3
0 2 0
2 2 3
2 3 1
3 4 3
3 1 2
1 3 4
0 4 2
4 3 4
10 2
0 0 2
1 1 0
1 2 1
0 0 0
2 1 2
1 2 2
1 1 1
0 1 2
2 2 1
1 1 2
10 6
0 1 1
0 0 1
0 0 2
0 1 0
1 2 2
0 2 0
1 0 0
1 2 1
2 1 2
0 1 2
10 4
1 1 3
0 1 4
0 1 0
3 3 3
3 1 0
3 1 4
3 3 2
3 2 0
2 1 1
3 2 3
10 3
2 3 0
4 1 1
0 3 3
3 0 0
0 4 4
4 2 2
1 2 2
2 2 0
1 4 2
0 0 0
10 2
0 1 2
1 1 0
1 2 0
1 0 0
0 2 0
0 0 1
2 0 0
1 0 2
2 1 1
0 1 1
10 3
0 0 1
0 1 2
1 2 1
1 2 0
2 0 0
2 2 1
2 1 0
2 0 2
1 0 2
0 0 2
10 9
2 3 1
0 1 2
3 1 3
1 3 3
2 2 0
0 0 2
1 2 0
1 1 2
3 2 0
1 3 2
10 4
0 0 1
1 0 1
2 0 0
2 0 2
2 1 1
2 2 0
1 2 1
0 1 1
0 2 1
1 2 0
10 9
0 3 5
3 0 5
1 2 5
0 2 1
3 0 4
3 2 2
4 5 0
2 2 0
5 4 0
1 1 2
10 9
2 2 0
1 1 0
1 1 2
2 2 1
2 0 2
1 0 2
0 2 1
0 0 2
2 2 2
2 1 1
10 7
3 3 1
3 3 2
0 1 1
1 5 4
4 0 2
0 0 1
5 0 2
4 3 2
1 1 1
0 4 5
10 8
3 3 3
0 1 4
0 0 2
1 3 2
3 3 0
2 2 0
0 2 0
4 1 3
4 1 2
0 4 4
10 2
4 2 4
0 1 0
0 4 4
2 4 3
0 2 3
1 2 3
2 0 2
1 0 1
4 3 3
1 4 2
10 8
3 2 5
1 5 5
5 2 1
4 1 2
2 1 1
4 5 4
4 0 3
2 3 1
5 1 3
2 1 2
10 5
2 3 4
3 3 5
5 0 3
3 1 5
3 5 1
2 1 2
1 4 5
3 5 5
3 1 4
4 0 1
10 9
0 2 1
1 2 0
2 1 0
0 1 1
1 0 2
1 1 1
0 1 0
1 2 2
0 0 2
0 2 2
10 3
1 0 0
2 3 2
1 3 0
2 1 3
1 3 1
0 3 3
0 2 0
0 3 1
2 3 3
2 2 1
10 2
0 0 4
3 3 1
3 1 1
1 3 1
0 0 1
4 5 0
5 0 3
1 3 3
4 2 1
0 2 4
10 4
0 2 1
1 1 2
1 1 0
3 0 3
3 2 1
0 1 0
3 3 1
0 2 0
3 3 2
1 0 0
10 4
2 2 3
2 4 3
0 3 2
2 3 0
3 2 2
2 4 1
0 4 0
4 4 2
1 4 1
3 2 3
10 9
3 2 1
1 1 1
3 3 0
3 3 3
1 0 2
2 3 0
2 0 2
0 3 0
0 2 2
2 1 0
10 3
1 2 0
1 0 2
2 2 2
0 1 2
2 0 1
1 0 0
0 0 1
0 0 0
0 0 2
2 2 1
10 7
0 0 3
3 1 1
0 0 1
0 3 2
3 1 0
1 3 2
2 1 1
2 2 3
2 2 1
0 2 0
10 5
2 1 0
0 2 0
1 0 1
0 1 1
0 0 1
2 2 2
0 2 2
1 2 1
1 1 0
2 0 1
10 6
3 5 1
1 1 2
1 2 3
5 3 0
2 4 0
5 1 2
3 1 4
3 5 2
3 1 0
5 2 3
10 7
3 1 1
1 0 0
2 2 0
1 3 0
2 3 1
3 2 2
2 1 0
3 1 2
1 1 2
3 3 1
10 7
0 1 0
1 2 1
2 3 1
0 0 1
0 3 1
0 1 3
3 2 1
2 1 2
3 0 3
1 0 3
10 9
0 4 0
1 1 3
2 3 4
1 1 0
2 2 4
2 4 4
3 3 4
0 1 2
2 0 2
4 2 4
10 4
2 1 2
1 1 2
0 0 1
1 2 0
2 2 2
0 0 2
1 1 1
1 0 0
1 0 1
2 2 1
10 8
0 2 0
0 2 1
2 0 1
1 2 1
0 1 2
2 1 0
2 2 1
1 0 0
2 0 2
2 1 1
10 5
0 2 3
4 1 4
2 0 2
4 1 0
4 3 1
1 2 0
3 2 0
4 4 3
1 3 4
4 2 3
10 2
0 4 3
0 2 4
1 4 3
3 2 3
0 4 2
2 2 1
5 1 0
4 5 0
2 1 4
3 3 1
10 5
1 2 1
1 0 2
2 1 2
2 0 0
1 2 2
2 2 2
2 1 1
1 1 2
0 1 0
0 0 1
10 5
3 1 4
1 0 1
3 4 0
2 1 0
1 1 0
1 3 4
4 2 4
4 2 2
3 4 1
2 2 1
10 6
2 0 0
3 3 0
4 1 3
4 5 4
0 4 3
4 1 1
4 0 1
3 4 3
1 0 2
0 3 4
10 5
0 3 5
5 0 2
0 5 4
5 4 5
5 4 3
2 5 3
1 2 3
5 4 1
4 5 3
2 5 5
10 2
0 1 3
2 3 2
2 2 0
2 2 3
1 4 1
0 4 3
4 1 1
4 2 4
3 1 2
0 0 1
10 8
1 2 0
2 0 2
1 2 2
1 1 2
0 0 0
1 1 0
2 2 0
2 0 0
2 1 1
0 2 0
10 5
3 2 2
3 2 0
0 0 3
0 1 0
0 2 2
2 0 3
1 3 1
0 0 0
3 3 1
2 1 2
10 8
0 2 1
2 2 1
0 0 2
2 0 2
0 0 0
2 0 0
2 0 1
1 0 0
1 2 2
1 1 2
10 7
3 2 0
3 3 3
3 3 2
1 0 3
3 0 1
2 0 3
2 1 3
0 1 1
1 2 0
3 0 0
10 2
0 1 1
0 1 2
2 2 3
1 1 1
1 1 0
1 0 3
0 2 3
2 2 1
1 3 3
3 3 0
10 2
0 2 1
2 1 1
3 3 3
0 3 0
1 2 2
2 1 0
1 0 2
2 0 1
3 2 1
2 3 0
10 5
4 1 0
0 3 2
4 1 1
0 0 2
3 3 0
0 2 4
1 1 3
4 4 4
4 1 3
4 4 3
10 4
0 2 0
0 0 2
1 1 2
2 1 0
1 0 1
0 2 1
2 0 1
1 0 2
2 2 0
0 1 1
10 2
0 2 2
2 2 1
2 1 2
0 0 2
1 0 1
2 2 2
0 2 0
2 1 1
2 0 1
2 2 0
10 4
4 2 0
2 2 2
3 1 3
1 2 2
4 2 2
0 3 3
3 2 3
3 4 0
4 1 1
2 2 3
10 2
1 0 1
2 2 2
0 2 1
2 0 1
1 1 0
2 0 0
0 2 0
2 1 2
1 1 2
1 2 1
10 7
0 0 5
0 2 5
0 3 2
4 4 2
5 3 5
1 4 1
0 5 1
1 1 2
0 0 4
1 0 4
10 3
0 2 0
2 1 2
0 0 2
0 1 2
1 2 0
2 1 1
1 1 2
0 2 1
1 2 1
0 0 1
10 2
1 3 0
2 0 3
1 2 1
1 1 4
1 0 4
2 1 3
0 4 2
0 1 0
3 2 4
3 2 1
10 8
4 5 1
4 5 4
5 1 1
5 4 3
5 4 4
4 0 3
0 1 5
2 2 0
1 2 4
3 0 0
10 2
1 2 3
3 1 0
0 2 3
1 3 1
2 0 3
3 0 2
2 2 3
3 2 3
3 1 3
2 0 2
10 7
1 4 3
1 3 2
4 3 2
1 2 0
1 1 4
2 0 4
0 1 3
3 4 4
3 3 0
4 1 3
10 6
3 4 1
3 5 5
3 4 5
4 4 1
2 2 1
3 2 5
5 3 4
1 2 5
3 2 2
4 5 4
10 9
1 3 1
2 1 2
3 2 3
2 2 0
0 2 2
1 3 0
2 2 3
1 1 2
3 0 0
2 0 2
10 9
1 1 2
1 1 0
2 2 1
1 2 0
1 0 1
0 0 1
2 0 0
0 1 0
1 2 1
1 2 2
10 8
0 4 2
4 0 4
5 1 2
2 2 3
2 1 0
2 0 0
4 2 1
1 2 4
2 3 0
4 0 1
10 6
0 0 1
2 2 1
1 2 1
1 0 1
0 1 1
1 2 0
2 0 0
1 1 0
2 0 2
0 0 2
10 3
2 2 2
0 0 3
1 1 3
0 3 2
1 3 2
2 2 3
0 2 2
1 0 1
2 1 3
3 1 3
10 2
0 1 3
2 3 0
0 1 4
3 4 3
3 4 0
2 1 4
0 3 4
4 0 3
3 2 3
4 0 1
10 4
1 0 0
2 3 1
1 3 1
0 2 1
3 2 2
0 3 0
0 1 0
2 3 3
1 2 3
0 0 2
10 2
3 3 0
5 3 2
4 0 4
2 1 1
5 5 4
3 4 4
4 3 4
4 5 1
3 4 2
5 4 2
10 3
1 2 3
3 2 1
2 1 1
0 1 1
3 2 3
2 0 3
1 0 1
2 3 2
0 3 3
1 1 1
10 5
3 0 0
1 1 3
2 1 1
1 0 2
0 1 2
2 0 2
1 2 0
3 0 3
2 3 0
2 1 3
10 8
3 3 3
2 3 0
0 3 3
1 4 3
3 3 4
1 3 1
3 0 0
1 2 3
1 1 0
2 3 1
10 4
1 2 5
2 5 5
0 1 2
5 3 2
0 0 0
0 1 0
4 3 1
5 0 4
5 3 5
3 3 5
10 7
0 4 4
4 4 1
4 2 0
4 1 1
1 2 0
4 4 4
0 1 4
3 2 2
3 4 2
3 3 0
10 2
0 0 3
3 2 2
3 3 2
3 2 3
0 3 1
3 2 0
0 2 3
1 0 0
3 2 1
3 1 0
10 8
0 0 1
2 2 3
0 1 3
1 1 2
3 4 3
4 0 3
4 3 3
0 3 1
0 2 2
1 1 1
10 7
1 1 4
3 5 1
4 1 0
3 2 5
0 4 5
2 5 5
0 3 0
3 3 5
1 0 3
0 5 1
10 8
5 5 3
2 5 0
0 2 2
4 4 4
2 0 4
2 4 3
2 4 4
1 4 5
4 4 1
3 3 0
10 7
2 2 1
2 0 2
2 2 2
0 1 1
0 0 0
2 1 0
1 0 1
2 2 0
0 2 2
2 1 1
10 4
1 1 4
0 0 4
1 3 4
3 0 1
4 3 0
2 1 2
2 2 2
0 2 2
1 2 0
1 0 2
10 5
1 2 0
0 0 0
2 0 2
4 4 3
4 1 3
4 0 2
0 2 4
3 2 0
2 4 4
2 0 0
10 2
3 1 2
3 4 1
1 0 2
1 4 3
0 4 4
2 3 3
3 4 4
1 1 4
3 4 0
0 0 4
10 5
1 3 0
2 2 0
0 0 0
2 2 2
0 2 2
3 1 0
3 0 0
3 3 1
2 1 1
1 3 3
10 9
1 3 0
1 0 0
3 0 0
4 2 0
1 1 3
2 2 0
4 4 2
0 0 4
0 1 2
3 4 1
10 4
1 1 0
1 2 2
0 0 1
0 0 2
0 0 0
1 2 1
2 2 1
1 2 0
1 1 2
2 0 1
10 4
0 1 0
1 1 0
2 0 2
1 0 2
1 1 1
2 2 0
1 2 0
0 0 0
0 1 1
1 0 1
10 4
1 3 4
0 1 5
2 1 5
2 0 1
0 2 4
5 0 0
0 3 5
2 5 1
3 4 1
2 4 5
10 3
0 1 1
2 1 2
1 0 1
2 1 0
0 0 2
2 1 1
1 0 2
1 1 1
1 1 2
1 1 0
10 2
3 5 2
2 4 0
0 1 0
1 5 4
1 1 3
2 0 2
5 4 4
1 1 0
3 1 0
5 3 2
10 3
1 0 3
1 2 0
2 1 1
2 2 0
2 1 3
0 3 1
3 0 3
0 1 2
1 3 3
1 1 2
10 7
0 0 1
0 3 2
0 3 1
1 2 0
3 3 1
0 2 1
3 1 2
0 3 3
3 2 2
3 2 1
10 2
1 3 1
1 3 2
1 0 0
0 0 1
2 3 0
3 0 0
2 2 2
0 1 3
2 3 3
2 1 1
10 4
1 1 1
0 0 0
1 1 2
0 1 2
2 2 2
1 2 1
2 0 0
0 2 0
0 0 1
2 1 2
10 2
2 1 1
1 0 0
0 2 2
2 0 0
0 2 1
1 1 0
0 1 0
0 1 1
1 0 2
0 0 1
10 5
3 0 2
1 3 2
2 1 3
0 2 1
1 1 2
1 0 1
0 2 3
3 3 3
0 1 0
0 0 1
10 9
4 0 3
4 1 0
4 4 1
0 4 3
3 2 2
1 1 0
0 3 4
3 3 2
4 1 2
2 3 1
10 3
3 4 5
2 1 2
0 2 0
5 5 3
1 2 5
1 5 4
3 0 1
2 1 0
3 2 1
5 5 2
10 7
4 1 0
1 0 4
1 5 5
3 2 3
1 5 1
2 0 0
0 3 3
1 2 3
4 5 1
4 5 2
10 7
3 0 2
3 4 3
4 2 3
1 0 3
4 3 1
3 2 4
0 0 2
1 0 1
4 0 0
2 2 4
10 9
5 5 2
3 0 1
2 5 4
5 1 2
1 4 5
2 5 3
3 5 2
0 1 1
4 0 2
5 3 5
10 6
3 2 3
1 4 3
3 0 4
2 2 3
0 3 1
0 0 3
3 5 5
3 3 1
3 0 1
2 2 0
10 7
3 3 2
0 4 1
1 4 4
1 5 1
3 4 0
2 1 1
1 2 1
5 4 1
2 0 0
0 2 4
10 6
3 3 1
0 2 2
3 3 2
3 1 0
3 1 2
1 3 1
1 3 2
0 2 0
2 1 1
0 1 2
10 3
2 0 1
1 2 1
0 0 0
2 1 0
0 2 1
1 2 2
0 1 2
0 2 0
1 1 0
2 2 0
10 6
2 4 0
5 1 5
5 4 4
0 4 3
5 4 5
2 2 2
2 3 2
0 1 2
1 5 1
4 2 4
10 3
2 1 0
3 2 2
2 3 0
1 2 0
0 0 2
1 1 2
1 2 1
1 0 1
2 0 1
1 1 1
10 2
1 2 0
0 2 0
0 1 1
1 1 1
2 1 0
2 2 0
0 1 2
2 2 2
2 0 0
1 2 1
10 9
0 1 0
2 5 3
1 3 1
3 5 2
5 5 2
5 2 0
2 0 3
1 1 4
4 5 5
2 0 0
10 7
4 2 1
0 0 1
3 1 4
3 2 0
4 0 2
0 3 0
1 3 2
3 4 3
2 4 0
0 1 3
10 8
2 3 5
1 4 2
4 3 2
0 5 5
4 5 5
0 0 2
4 3 4
2 1 2
1 2 2
5 5 4
10 6
2 1 3
2 0 2
0 0 1
3 0 2
1 1 2
2 3 2
2 0 3
1 0 3
3 2 0
0 1 3
10 7
4 1 1
3 4 5
5 4 5
1 5 5
0 2 4
0 3 1
4 3 3
4 4 3
3 2 1
0 1 4
10 7
2 1 2
0 1 1
1 1 0
0 3 0
0 0 2
2 3 1
1 0 0
3 0 1
2 2 3
1 3 3
10 6
2 0 2
0 0 3
3 3 3
3 1 2
2 3 0
2 2 0
1 0 3
2 1 2
2 2 3
1 3 1
10 5
1 1 0
0 0 2
2 1 2
3 3 2
3 1 2
3 3 0
3 2 0
0 1 0
3 1 1
3 0 1
10 8
0 1 4
1 0 1
0 2 1
4 0 2
4 2 0
2 1 1
3 2 1
4 0 0
0 3 4
3 0 1
10 7
1 2 3
3 3 1
1 0 3
3 1 0
2 3 2
0 1 1
0 0 3
3 0 1
1 2 0
0 0 1
10 3
3 0 3
4 0 3
3 3 3
2 1 3
0 0 4
0 2 0
0 4 2
2 2 4
4 2 2
0 4 1
10 9
1 1 3
2 0 2
2 0 1
3 2 0
2 1 1
1 0 0
0 0 2
1 0 3
1 3 0
3 1 3
10 9
0 2 2
0 1 2
3 2 0
3 0 2
4 0 3
4 2 0
4 1 4
4 2 4
0 4 2
2 2 1
10 3
3 1 3
1 3 0
0 1 3
0 3 2
2 2 3
0 1 2
1 0 1
0 3 1
3 0 1
0 3 0
10 7
1 5 0
5 4 1
1 4 4
2 1 2
4 3 0
5 4 4
1 1 3
0 2 1
4 0 0
0 4 5
10 9
1 0 2
2 1 2
0 1 1
0 2 1
3 1 1
3 3 2
0 0 0
3 0 1
1 2 3
2 1 0
10 7
2 1 2
0 0 1
0 2 2
1 1 2
0 1 0
2 2 1
1 2 1
2 1 1
1 1 1
1 0 1
10 6
1 2 1
2 2 0
1 1 0
1 2 2
1 0 0
2 1 2
2 0 0
1 1 1
0 1 0
2 1 0
10 9
4 2 3
4 3 2
1 5 0
2 0 0
0 5 5
1 3 5
4 4 5
2 1 1
4 4 0
0 2 4
10 5
1 2 1
1 3 1
2 0 0
3 3 0
2 1 0
1 0 0
0 1 0
0 0 0
1 3 0
0 0 1
10 5
1 1 3
3 3 0
1 4 4
2 3 2
0 4 0
2 2 2
4 0 0
4 3 4
4 3 2
1 2 0
10 2
2 4 1
0 2 1
0 3 1
3 0 0
1 0 3
2 2 4
4 4 0
0 1 2
4 3 3
1 3 3
10 2
1 3 1
3 5 0
1 0 2
1 4 0
4 0 0
2 2 2
4 0 1
1 5 5
3 0 0
0 5 5
10 5
1 1 0
2 2 1
3 3 2
1 2 3
2 1 0
0 3 0
2 1 3
2 3 1
2 0 0
2 3 2
10 5
2 0 0
0 2 2
1 0 1
0 0 2
2 1 2
1 2 1
1 2 2
0 0 0
2 0 1
0 2 0
10 7
2 1 3
1 3 0
4 0 2
3 0 1
3 1 1
1 1 2
0 2 0
4 4 0
0 2 1
4 0 0
10 9
1 5 1
0 4 0
1 2 4
1 1 3
4 0 0
5 0 5
2 2 4
4 3 1
2 0 5
4 1 5
10 4
2 0 1
0 2 0
2 2 1
0 2 1
2 1 0
1 1 1
2 2 2
0 1 2
1 1 0
1 2 0
10 5
0 1 1
0 2 3
0 1 3
3 1 2
2 2 3
1 1 2
1 3 0
1 0 1
1 2 1
2 3 0
10 6
0 1 2
0 2 0
2 0 2
1 1 1
0 0 2
1 1 0
0 1 1
2 2 0
2 2 2
1 0 1
10 6
0 1 2
0 2 0
1 1 0
1 0 2
1 2 0
2 2 2
0 1 0
2 2 1
2 1 2
1 0 0
10 6
0 3 4
0 0 0
4 1 1
3 2 3
2 4 4
3 1 2
4 2 0
2 0 2
4 2 1
3 3 2
10 2
3 0 3
3 5 0
3 5 5
5 1 5
1 3 3
3 2 1
5 5 4
4 2 3
2 4 1
5 1 4
10 5
5 3 5
2 2 4
5 0 5
2 5 4
3 3 1
5 2 2
3 4 3
4 5 4
3 4 5
1 0 3
10 9
2 0 0
0 2 0
0 2 1
1 1 1
2 2 0
1 1 0
1 2 1
0 0 0
1 2 0
1 2 2
10 2
1 1 2
1 0 1
1 2 2
0 0 2
1 0 0
2 0 1
0 1 1
2 1 0
0 2 0
2 2 2
10 6
4 1 4
1 1 2
2 4 4
1 4 2
4 3 0
1 3 0
2 0 3
3 0 4
1 1 4
2 1 4
10 6
3 1 3
4 0 2
2 2 4
0 2 1
0 4 2
4 0 1
4 1 1
1 2 2
2 1 3
2 0 4
10 2
1 1 3
0 2 1
2 3 3
3 3 3
2 3 0
3 0 0
1 2 2
0 3 3
2 2 2
0 0 1
10 5
0 1 1
0 2 0
0 0 0
1 1 0
1 0 2
3 3 1
3 3 3
2 2 0
1 2 1
1 2 3
10 8
1 4 3
2 1 1
1 1 3
1 4 1
3 0 1
0 4 3
4 5 1
1 3 3
2 1 0
2 3 0
10 4
0 2 5
5 0 2
3 5 2
2 3 1
3 3 5
5 2 0
4 4 2
4 0 1
2 4 3
5 5 5
10 4
3 3 3
1 1 3
3 1 3
0 2 3
2 4 4
4 2 3
2 0 2
4 4 4
2 2 3
0 2 2
10 4
0 1 2
1 1 0
2 1 2
2 0 2
1 1 2
1 0 0
1 2 1
1 1 1
2 1 1
2 2 1
10 4
2 2 1
2 0 1
2 1 1
0 1 2
1 2 0
1 0 2
1 0 0
0 2 0
2 0 2
2 1 2
10 8
2 1 2
1 3 2
1 3 1
2 1 3
3 2 3
2 0 3
1 1 0
0 1 0
1 0 2
3 0 3
10 5
1 0 0
2 0 1
0 2 2
2 1 0
0 1 1
0 2 1
0 2 0
2 0 0
1 0 2
2 1 2
10 4
4 1 1
1 4 0
0 4 4
2 4 2
4 3 1
0 1 1
1 1 3
0 4 0
1 3 3
1 4 2
10 3
0 3 0
1 2 2
0 3 2
3 0 0
0 1 2
1 3 3
2 2 3
3 2 3
3 0 2
2 3 3
10 8
4 4 4
3 3 0
4 5 4
2 2 4
2 3 0
2 1 3
3 1 5
4 3 0
5 1 1
2 1 4
10 7
2 4 5
1 3 1
2 4 1
4 2 2
5 1 5
5 4 0
2 3 5
1 2 0
3 4 4
3 1 4
10 4
3 1 0
0 1 1
3 1 2
1 2 2
3 2 2
2 3 0
1 0 3
2 0 1
2 2 3
0 1 2
10 6
5 2 1
1 4 5
0 1 4
2 4 5
3 0 1
0 1 1
0 0 5
4 2 5
2 5 1
5 0 0
10 9
4 1 4
4 4 4
3 4 4
2 0 3
0 3 4
4 1 1
2 3 3
4 2 2
4 0 2
3 3 0
10 5
1 3 2
2 3 0
3 2 0
0 1 1
0 0 0
3 3 2
2 0 0
2 2 2
1 2 2
3 0 2
10 3
2 1 2
3 3 2
0 2 0
2 1 3
3 0 2
2 0 3
2 1 0
3 2 1
3 1 1
1 3 2
10 4
1 1 0
3 0 0
0 2 0
1 2 0
4 1 0
4 0 3
1 2 4
0 4 4
0 0 4
3 3 4
10 8
2 3 3
4 3 2
1 3 3
4 2 1
3 2 4
3 4 3
1 2 3
3 4 2
3 0 1
0 0 2
10 2
3 1 0
1 2 0
2 0 2
3 0 2
1 3 2
2 1 0
1 3 0
3 3 0
1 2 1
1 0 3
10 2
0 0 0
1 0 0
2 1 0
1 2 2
0 1 1
0 2 1
2 0 0
1 0 2
1 2 0
0 0 1
10 7
0 1 2
2 3 1
1 3 0
2 1 3
0 0 2
0 0 0
3 0 1
3 0 2
1 0 0
3 3 0
10 7
1 5 5
2 0 1
5 1 2
1 1 1
1 0 0
4 4 1
3 0 4
1 4 4
2 3 3
4 5 2
10 3
4 4 1
4 0 0
4 2 0
1 1 0
1 3 3
4 1 1
1 0 1
1 2 1
4 0 3
3 2 2
10 9
1 3 3
0 0 0
2 1 3
2 2 0
1 2 1
2 2 1
1 0 3
0 1 0
1 2 2
0 0 2
10 8
2 0 2
2 0 1
2 2 0
3 0 0
2 2 1
2 1 0
1 1 3
1 2 3
2 2 3
2 3 0
10 7
3 5 4
5 3 2
4 3 3
5 2 4
5 1 0
0 1 0
0 0 2
4 1 2
5 1 2
2 2 0
10 2
2 0 1
2 0 0
0 1 0
0 2 1
2 2 0
1 2 0
0 2 2
0 0 0
2 1 0
2 2 1
10 5
0 2 1
2 1 1
2 0 2
0 1 0
1 2 0
0 0 2
0 1 2
1 1 2
2 0 1
2 0 0
10 3
1 0 3
3 0 0
1 2 1
2 2 1
0 1 2
2 0 0
2 2 3
3 1 3
1 0 0
1 3 3
10 7
4 1 2
1 5 4
0 2 4
1 4 1
1 2 0
3 3 4
0 5 5
3 4 3
4 4 4
1 2 2
10 2
2 1 3
1 4 0
1 0 2
4 3 3
4 3 2
2 4 0
1 1 3
0 0 2
3 2 3
3 2 0
10 6
0 2 1
2 2 1
1 1 0
1 0 0
1 1 2
0 1 2
0 2 2
2 0 2
0 1 1
2 2 0
10 2
3 1 0
1 3 1
1 0 1
3 0 1
3 3 3
0 3 2
1 1 1
3 3 0
2 2 1
2 3 0
10 4
1 2 0
2 2 0
2 0 2
1 0 0
1 2 1
1 0 1
2 2 1
2 0 1
0 2 2
2 1 0
10 8
2 2 1
3 2 2
0 0 3
1 2 1
3 3 3
1 1 2
0 2 3
1 3 2
1 2 0
0 1 0
10 7
1 1 1
2 2 2
2 0 1
2 1 1
0 0 1
2 2 0
1 1 0
2 1 0
1 0 1
2 2 1
10 7
4 1 0
0 1 3
0 2 4
2 0 4
4 1 2
3 4 2
4 0 0
2 3 1
2 4 0
3 4 4
10 3
1 2 2
1 2 1
0 0 2
2 1 1
2 2 1
0 1 1
1 1 0
0 2 0
1 1 1
2 1 2
10 6
3 2 1
2 1 1
2 1 3
3 2 3
3 0 2
2 0 2
0 2 3
1 2 2
0 0 3
2 1 2
10 7
2 1 2
1 4 3
3 5 4
1 1 3
5 4 5
4 4 1
3 3 5
2 4 1
2 5 0
3 5 5
10 5
4 3 1
2 4 1
3 0 3
2 0 0
1 3 1
4 3 3
4 2 1
3 2 4
3 2 2
0 0 0
10 8
2 2 1
0 2 1
2 2 2
1 2 2
2 2 0
2 1 0
1 0 2
1 0 1
0 0 1
0 0 0
10 4
2 0 2
0 1 3
3 3 2
2 1 2
0 2 1
0 0 3
2 1 3
3 2 0
0 2 3
3 3 1
10 5
2 4 1
4 1 0
4 2 2
1 4 2
0 4 2
2 3 0
2 0 2
4 3 2
2 4 4
0 2 2
10 5
0 2 3
3 4 0
2 2 2
4 4 3
2 3 3
1 4 4
4 1 1
3 0 3
0 2 2
1 4 3
10 3
5 3 5
2 3 0
5 5 1
0 2 4
3 1 0
1 4 2
1 5 5
3 5 5
0 0 3
1 5 0
10 9
2 3 2
2 0 2
0 0 1
1 2 0
1 2 1
1 3 0
0 3 2
3 2 0
3 1 0
2 0 1
10 3
1 1 2
2 0 2
1 2 1
2 2 2
1 0 2
2 2 1
2 2 0
1 1 0
1 1 1
0 2 1
10 3
5 3 2
3 1 3
2 1 0
3 3 2
4 0 5
3 4 3
2 2 1
5 1 0
3 2 2
4 0 4
10 5
1 3 4
0 2 0
0 2 2
1 2 3
1 5 3
2 1 5
5 0 5
2 3 4
1 4 0
2 5 0
10 9
3 0 1
3 2 0
0 0 0
2 3 1
1 3 2
3 1 0
2 0 0
3 0 0
0 1 2
2 2 1
10 3
0 1 0
1 1 1
0 2 0
2 2 0
0 2 2
1 1 0
2 0 1
2 0 0
1 0 2
1 2 2
10 4
1 1 1
0 3 0
2 1 1
2 0 5
3 2 2
4 4 0
4 0 4
2 1 4
5 4 5
3 0 0
10 9
0 1 2
0 2 2
1 3 0
2 3 3
4 0 1
1 1 0
4 3 1
3 2 2
0 0 2
4 2 2
10 9
3 2 1
3 0 3
0 1 2
0 3 2
2 3 3
1 4 4
0 1 3
4 4 4
0 1 1
4 2 0
10 3
2 0 2
4 3 1
0 3 0
4 0 4
4 0 3
5 4 4
5 0 4
0 5 3
1 3 0
0 4 5
10 3
1 2 1
1 3 2
2 1 1
3 2 1
1 1 0
2 0 2
3 0 0
2 1 2
2 0 3
2 3 0
10 7
3 3 3
0 2 2
1 0 3
2 3 2
3 1 0
0 0 1
2 3 0
1 3 1
0 3 2
0 0 0
10 4
4 0 1
0 2 1
0 3 3
2 2 3
1 1 0
4 3 2
5 5 2
3 5 1
2 5 4
0 2 0
10 4
0 2 0
2 4 1
0 1 2
2 2 0
2 2 3
2 0 3
3 0 1
4 1 2
2 0 2
3 3 4
10 6
4 1 1
4 1 0
3 3 2
0 4 3
2 2 2
0 1 0
4 1 3
1 4 3
3 4 2
2 1 0
10 3
0 3 3
1 2 1
3 1 3
2 2 1
1 2 3
3 3 2
1 3 0
2 3 1
1 1 0
3 1 0
10 2
2 2 1
3 1 2
2 1 1
4 4 2
4 1 3
3 1 1
3 1 3
0 0 3
2 0 0
4 1 4
10 7
4 1 1
2 4 2
4 2 4
3 0 4
3 0 0
2 3 2
2 4 3
4 0 1
3 1 0
0 3 3
10 9
1 2 0
2 5 1
5 2 5
4 5 0
4 1 0
0 2 3
5 3 0
2 3 1
4 5 3
1 1 2
10 6
0 3 0
1 2 0
3 2 3
2 1 2
2 1 0
2 2 3
1 1 3
2 0 3
0 0 3
0 1 1
10 7
0 2 1
2 3 2
3 0 1
0 0 3
0 1 3
2 2 2
1 2 3
3 2 2
3 0 2
2 3 0
10 9
4 3 4
4 2 4
2 3 1
4 0 0
1 4 1
0 2 1
3 2 3
0 3 2
1 2 2
1 3 1
10 6
0 2 0
1 1 2
2 2 2
0 2 1
0 1 2
0 1 1
0 1 0
2 1 0
0 2 2
2 1 1
10 4
0 1 2
0 1 3
1 1 3
1 0 1
2 3 3
1 2 0
1 0 3
3 1 3
2 1 1
1 3 3
10 3
2 4 2
3 1 5
3 5 2
1 2 3
0 4 1
5 2 1
5 1 4
5 1 1
2 1 3
0 1 3
10 2
1 5 2
3 1 0
4 2 2
2 5 3
1 3 2
0 5 4
1 4 1
3 4 2
1 1 5
5 3 4
10 4
1 0 0
2 1 1
2 0 3
3 1 1
2 2 1
1 3 3
0 0 2
0 1 2
1 0 1
3 1 3
10 4
1 1 2
0 0 2
0 1 0
1 2 0
0 2 1
2 2 0
1 0 0
0 1 2
2 0 0
0 2 2
10 2
3 1 0
2 0 4
0 0 0
3 2 4
3 3 1
3 2 0
4 3 1
2 4 4
4 1 2
0 3 4
10 4
0 0 1
0 2 1
0 1 0
0 2 0
2 0 0
1 1 0
2 1 1
2 0 1
2 0 2
2 2 1
10 4
2 1 0
3 2 0
1 3 2
2 3 3
1 2 2
3 3 2
1 1 2
1 0 2
3 0 3
3 2 3
10 2
3 2 3
0 1 2
1 1 2
2 0 3
0 2 3
2 0 1
3 1 2
0 1 0
0 0 2
3 3 3
10 6
1 4 4
1 0 4
5 2 5
0 1 5
5 0 1
0 4 2
3 1 3
3 5 1
0 2 3
3 5 4
10 7
3 0 5
3 1 0
2 2 2
2 4 3
0 0 3
2 2 3
5 1 0
2 5 0
2 5 5
5 4 3
10 7
1 3 2
0 1 3
3 3 2
1 3 0
0 2 2
2 1 1
2 1 3
1 2 0
3 0 1
0 2 1
10 3
3 0 1
0 2 1
1 1 2
1 1 3
3 0 0
3 1 0
2 0 1
2 3 2
0 0 2
1 3 3
10 2
4 2 1
2 2 2
2 1 0
1 0 3
4 1 1
0 0 0
0 1 4
4 2 3
3 3 0
0 1 3
10 2
0 1 1
0 2 1
2 0 2
2 0 1
0 0 0
0 1 0
1 2 1
2 0 0
2 1 0
2 2 1
10 4
1 0 0
1 1 1
1 2 2
0 0 1
2 1 0
2 0 2
0 2 2
1 1 0
2 1 1
1 2 1
10 2
1 0 3
4 2 3
2 2 1
0 1 4
3 4 3
2 0 2
3 0 3
0 1 2
1 1 3
2 4 3
10 3
1 5 2
5 1 4
3 4 0
4 5 4
2 2 1
1 0 1
3 0 2
4 2 1
3 2 0
5 4 1
10 5
1 2 3
1 3 2
2 4 1
4 1 1
0 0 0
1 1 4
1 0 2
4 3 4
0 4 1
2 3 2
10 4
0 4 1
2 3 3
4 2 2
1 1 4
4 4 0
4 2 0
3 3 0
2 0 2
1 1 2
1 3 3
10 8
1 0 3
5 1 4
1 0 1
0 2 3
3 2 3
2 3 3
4 3 5
3 0 0
1 3 0
5 1 0
10 3
3 1 3
3 3 3
2 2 2
3 0 2
3 2 2
2 0 3
3 2 1
2 0 0
0 3 0
0 2 2
10 6
0 2 2
2 2 2
1 2 2
2 3 2
0 2 1
1 1 0
2 0 0
1 0 1
3 2 1
0 3 3
10 2
2 4 4
0 0 2
4 1 0
3 1 0
3 0 2
3 3 0
1 2 2
3 1 2
4 2 4
0 1 2
10 2
0 2 0
0 1 1
2 1 1
0 1 2
1 2 2
1 2 0
0 0 1
2 1 0
1 1 2
1 1 1
10 8
2 4 1
5 1 2
4 2 4
3 1 3
5 1 4
3 5 0
2 3 2
1 4 2
1 3 0
1 3 4
10 6
1 3 1
2 1 4
0 2 2
4 3 3
4 3 4
0 3 0
3 0 1
0 0 4
2 0 4
1 4 0
10 5
1 0 1
3 3 0
3 3 3
1 3 0
2 3 0
0 3 2
2 0 2
3 1 3
1 2 0
1 3 1
10 5
3 4 2
2 2 3
1 2 0
2 4 0
0 4 2
0 4 0
3 1 3
0 4 1
4 2 4
4 3 2
10 9
2 0 0
3 1 3
3 3 1
0 2 2
0 1 0
1 1 2
2 3 0
0 0 2
2 2 0
0 3 1
10 3
1 1 2
2 2 2
2 0 1
2 1 0
1 2 1
2 0 2
0 1 2
1 2 2
0 0 1
2 1 1
10 2
1 3 1
1 2 1
3 0 2
1 3 0
1 1 1
4 3 4
2 3 0
0 2 2
4 2 3
4 4 1
10 9
2 1 0
2 1 1
2 1 2
1 2 1
0 0 1
1 0 2
0 2 2
0 1 1
2 2 2
2 0 1
10 6
0 2 3
3 2 0
3 1 2
1 2 2
3 2 2
2 1 2
2 0 0
3 1 1
1 1 1
3 3 3
10 3
4 4 4
0 4 4
3 4 0
0 0 4
2 2 0
3 0 3
1 2 3
0 0 3
2 2 2
2 1 1
10 9
2 1 2
1 1 1
0 0 2
2 0 1
1 2 1
2 2 0
1 1 2
2 2 1
0 1 1
0 0 1
10 2
0 1 0
2 2 1
0 1 2
1 2 2
0 0 0
0 0 2
0 2 0
2 1 1
0 0 1
1 2 0
10 3
4 0 5
2 4 5
1 5 0
4 0 1
5 1 4
2 4 0
0 2 1
5 3 4
3 5 3
4 5 5
10 8
3 2 3
0 3 0
1 0 3
2 1 1
1 2 1
3 3 3
1 0 1
3 1 0
3 2 1
3 0 2
10 6
0 0 2
0 4 2
4 2 1
3 4 1
3 4 2
2 3 3
0 1 3
3 3 4
1 3 0
1 3 2
10 2
0 1 0
2 0 0
0 1 1
2 1 1
0 0 0
2 2 1
1 1 1
2 0 2
0 2 0
0 0 1
10 6
0 3 3
3 1 1
3 3 1
3 1 2
1 3 1
2 0 3
3 2 3
1 2 1
1 0 1
3 2 1
10 9
1 0 3
3 1 1
2 2 2
3 2 2
2 0 1
3 3 0
2 3 3
2 3 2
0 0 3
0 2 3
10 6
3 3 2
1 3 1
3 0 2
1 0 2
1 1 1
3 0 0
0 1 3
0 2 1
1 2 3
0 3 0
10 5
0 1 1
0 0 0
2 2 0
0 2 0
2 2 1
0 1 0
1 2 0
0 0 2
2 1 1
1 1 1
10 7
2 0 4
3 3 0
3 2 3
1 4 3
0 4 0
4 1 3
0 3 1
2 3 0
2 0 1
2 1 0
10 6
4 0 2
4 5 0
0 5 0
5 1 2
1 2 1
3 3 0
5 5 4
0 3 2
4 5 2
5 2 0
10 3
4 2 0
3 1 2
1 2 1
4 3 1
0 3 4
3 2 0
4 2 1
3 4 2
3 2 4
4 2 2
10 3
0 3 3
0 4 3
1 0 1
2 2 3
3 3 2
3 3 0
3 3 3
3 4 3
4 4 4
0 2 1
10 5
2 0 4
2 1 4
3 3 4
0 0 2
4 1 1
2 3 2
0 1 3
3 2 4
2 4 0
3 4 4
10 5
4 0 4
1 1 0
0 0 2
0 4 1
0 2 0
0 0 0
1 2 1
0 1 2
3 2 4
1 1 1
10 5
0 1 2
2 0 1
0 2 0
2 2 0
2 2 1
2 3 0
3 1 3
3 3 1
0 0 2
1 2 3
10 6
2 4 3
2 2 1
1 3 2
2 0 1
1 0 5
1 1 4
4 3 4
5 1 4
1 2 5
5 3 5
10 3
2 4 1
2 5 4
0 1 4
5 3 5
1 0 3
2 5 3
1 3 2
0 1 0
3 4 2
4 1 4
10 6
1 1 0
1 2 0
0 0 1
1 0 2
0 1 2
2 0 0
1 1 1
1 2 1
2 2 0
0 1 1
10 5
1 1 0
2 1 1
1 2 1
1 0 1
2 1 0
1 1 2
0 1 1
1 2 0
2 0 0
1 2 2
10 8
2 0 0
0 3 5
5 2 2
3 4 2
5 3 4
1 1 2
1 4 2
2 0 3
0 2 0
2 3 0
10 2
2 2 4
4 2 4
1 2 3
1 3 2
4 2 3
1 3 4
2 4 1
1 0 0
0 4 2
1 2 1
10 7
2 0 2
0 2 3
4 4 1
3 3 3
2 4 0
0 1 1
4 3 0
1 4 4
1 1 2
4 4 0
10 7
2 2 2
2 0 0
1 0 0
1 2 0
0 0 2
1 2 1
2 1 1
1 1 1
0 1 1
0 2 2
10 9
3 4 4
0 0 3
4 0 3
0 1 3
2 0 2
0 2 3
0 0 1
3 4 1
3 3 1
3 1 4
10 6
1 0 0
3 1 2
2 0 1
3 2 1
1 2 2
3 0 3
1 1 3
3 1 0
3 2 3
3 2 0
10 7
2 0 1
0 2 2
1 1 1
2 2 1
0 0 2
1 1 2
0 0 0
0 1 1
2 1 1
1 2 2
10 7
1 2 0
0 0 0
1 0 1
2 0 0
2 0 1
2 1 2
1 1 1
2 0 2
0 1 1
2 2 2
10 8
0 4 1
3 1 4
5 3 4
5 1 5
2 5 4
0 1 0
2 1 0
2 5 3
2 0 4
1 2 2
10 6
1 2 3
2 4 4
4 2 2
3 2 4
2 3 0
4 1 0
0 3 0
2 0 4
1 1 0
3 3 4
10 9
0 1 2
1 2 0
1 1 1
2 1 2
0 1 1
2 2 1
0 1 0
1 0 2
1 1 0
1 1 2
10 4
0 1 4
3 2 4
0 1 3
2 1 2
0 4 2
3 4 1
1 3 0
2 3 1
1 0 4
3 3 0
10 8
4 1 0
5 4 2
4 2 1
3 3 5
0 1 4
2 1 3
3 3 1
4 2 5
3 0 0
2 4 1
10 8
1 0 0
1 1 0
0 2 0
2 1 0
0 0 2
2 1 1
1 2 2
1 0 1
0 1 1
0 2 2
10 9
0 3 1
1 3 3
3 0 1
2 1 1
1 1 2
1 1 3
2 1 2
0 0 3
0 3 0
0 1 2
10 7
3 3 0
3 1 1
3 2 2
0 0 2
3 3 3
1 2 1
0 1 2
1 2 2
1 0 3
3 3 1
10 4
1 0 4
0 1 4
2 2 0
4 3 2
2 4 2
3 4 0
0 0 1
0 4 2
4 2 2
0 2 0
10 4
2 0 0
1 2 1
1 3 0
2 1 3
2 3 0
0 1 2
0 2 2
0 0 1
2 2 1
1 1 2
10 2
2 4 3
0 4 3
3 0 3
1 1 1
4 1 1
1 0 2
0 1 4
2 3 4
0 1 2
0 4 0
10 2
2 2 0
1 1 3
0 0 2
0 2 1
0 3 3
0 2 3
1 2 3
3 2 3
3 2 1
2 1 2
10 5
1 0 1
2 1 1
0 1 1
1 0 0
2 1 2
0 0 1
2 0 2
1 1 0
2 2 1
0 0 0
10 4
3 2 3
0 0 0
1 3 2
2 0 0
1 2 0
0 3 2
0 3 0
2 2 2
3 0 1
3 1 1
10 6
2 2 1
1 1 0
1 1 1
0 1 0
0 2 1
1 0 1
1 1 2
0 2 2
1 0 2
2 0 1
10 6
3 0 3
2 0 1
1 3 0
0 3 1
2 2 0
2 0 3
2 3 2
2 3 0
0 0 0
1 1 2
10 6
2 2 1
3 2 2
1 0 3
2 0 0
3 2 0
2 3 0
3 0 1
1 2 2
1 3 2
0 2 1
10 4
2 1 0
1 1 0
0 2 2
2 1 1
1 0 0
0 0 1
1 2 0
1 0 2
2 1 2
1 1 1
10 8
2 2 1
0 2 0
2 1 1
0 1 0
0 0 0
0 1 1
2 0 1
0 2 1
2 2 2
1 0 0
10 4
0 4 4
3 2 1
0 1 5
1 5 4
4 3 3
5 4 1
4 3 0
2 5 5
0 4 2
0 5 2
10 3
1 0 0
1 2 2
1 2 1
1 1 0
2 1 2
2 1 1
2 2 2
0 1 0
0 2 0
0 1 2
10 9
1 0 3
3 3 2
0 2 0
2 1 0
1 0 1
2 2 0
0 1 3
2 3 1
3 0 2
3 3 0
10 5
2 1 2
1 0 1
0 0 2
1 2 2
0 1 1
0 2 2
2 0 2
2 1 0
0 0 0
1 1 0
10 5
2 5 3
2 3 2
4 1 4
3 1 4
3 3 4
2 3 5
5 5 2
3 4 3
1 2 1
4 4 2
10 6
0 0 5
1 5 3
1 2 0
0 1 0
2 3 3
0 3 4
1 3 1
1 5 4
0 0 3
1 1 2
10 9
1 0 5
2 1 3
0 5 0
5 4 1
5 5 2
4 1 5
5 4 0
3 2 2
4 1 2
1 1 1
10 9
4 0 3
2 2 1
0 2 3
0 3 0
0 3 1
2 0 3
4 0 1
4 1 3
0 3 3
2 2 3
10 4
1 2 2
1 5 5
3 5 4
1 5 2
4 2 2
3 4 5
2 0 5
0 0 4
5 5 2
5 2 2
10 3
0 0 3
5 0 4
0 1 4
3 0 4
1 2 5
4 0 2
0 4 3
2 3 1
1 3 1
2 2 0
10 6
5 1 5
1 3 4
3 1 4
2 5 3
4 0 3
3 1 3
0 2 5
1 1 5
4 5 5
1 1 0
10 6
3 0 3
1 3 1
3 0 1
2 2 2
3 4 1
1 1 0
1 0 1
0 3 3
2 1 2
3 4 2
10 3
0 5 0
5 0 3
4 1 4
1 1 2
5 0 5
4 3 0
3 2 2
4 4 1
4 5 0
2 3 3
10 4
0 1 2
3 4 1
2 3 1
1 2 0
2 0 2
2 3 3
3 2 2
2 3 0
4 4 1
1 1 3
10 3
0 2 3
5 1 2
5 4 0
3 4 0
3 4 5
3 3 1
4 1 1
3 5 3
0 4 0
2 0 3
10 2
3 2 0
3 3 3
0 0 1
1 2 1
3 0 1
1 0 3
2 2 2
1 3 0
1 1 0
2 2 3
10 5
4 1 3
2 3 2
1 0 2
1 2 0
4 1 1
2 0 4
4 0 0
0 2 2
5 5 0
4 2 2
10 8
1 0 2
2 0 1
3 0 2
3 0 3
1 1 2
2 0 3
1 1 0
2 2 0
3 3 2
1 2 2
10 4
4 0 3
1 1 2
4 3 0
2 0 3
0 4 4
1 3 0
0 4 2
3 1 2
1 0 4
3 3 2
10 2
2 0 0
2 2 2
1 3 1
0 2 2
3 3 1
2 2 0
0 3 2
3 0 3
1 0 2
2 0 3
10 5
2 3 2
4 2 4
0 0 1
0 1 2
3 3 3
3 4 2
4 2 2
1 4 1
4 0 2
3 1 2
10 7
1 5 5
1 2 0
5 4 3
2 3 3
2 0 1
4 1 3
4 4 3
5 2 5
5 1 2
1 0 5
10 3
5 3 1
2 4 0
3 4 1
3 0 0
0 2 3
2 4 5
1 1 3
2 3 0
4 1 1
2 0 1
10 4
1 2 1
4 1 3
3 0 0
0 3 2
3 0 3
4 2 1
2 4 4
2 3 0
0 2 1
4 3 2
10 4
1 2 1
0 1 2
2 1 1
2 2 2
2 0 0
2 0 1
2 1 2
1 0 0
1 1 2
1 0 1
10 8
1 2 2
0 0 2
2 2 0
2 2 2
0 0 1
2 0 2
2 2 1
0 2 1
0 1 2
1 2 0
10 9
1 3 2
1 1 3
3 3 4
0 0 1
0 2 3
2 3 3
2 1 3
0 2 2
0 1 2
4 4 2
10 8
1 0 2
0 0 1
0 1 0
0 1 1
2 2 0
0 2 1
1 1 1
2 2 2
2 1 0
1 2 1
10 2
2 3 3
4 2 3
1 0 0
1 0 5
3 0 2
1 4 3
2 2 0
4 0 4
5 3 2
0 2 5
10 5
1 2 5
1 5 0
0 1 0
3 4 4
3 0 1
1 4 2
0 2 4
1 1 3
5 2 2
5 0 5
10 3
2 1 2
0 1 1
2 2 1
0 1 0
1 2 1
2 1 1
2 0 0
2 0 1
0 0 1
0 2 2
10 3
2 1 3
3 1 3
2 0 3
1 3 1
0 0 0
1 0 3
3 4 3
2 1 0
2 2 3
0 2 4
10 4
2 2 3
0 2 1
0 2 0
2 3 3
4 4 4
2 4 1
3 0 3
1 0 0
3 2 0
1 0 1
10 7
2 3 3
1 3 3
2 1 3
0 3 0
1 3 0
1 0 3
2 2 0
1 0 1
0 1 2
0 0 2
10 3
0 0 0
0 0 2
1 2 1
1 1 1
1 0 0
2 0 2
2 2 2
1 1 0
0 2 1
1 2 2
10 5
2 5 0
4 0 3
3 0 0
1 5 2
4 0 5
5 1 5
0 5 3
0 2 5
1 2 4
1 4 5
10 9
3 1 3
0 0 2
2 1 1
2 5 5
4 5 2
1 1 2
5 5 4
1 4 4
5 2 2
2 1 0
10 3
2 2 1
0 0 0
0 4 0
4 1 2
3 3 3
2 2 2
0 2 3
2 3 3
2 4 0
3 4 2
10 6
2 1 3
1 1 1
2 0 3
0 1 1
0 3 0
2 1 1
2 3 3
1 1 0
3 0 0
1 2 0
10 9
2 3 1
2 0 4
1 2 1
0 2 4
4 0 2
4 2 4
3 4 1
3 1 0
1 4 1
1 4 2
10 7
0 1 1
2 1 2
0 1 0
0 1 2
0 2 2
1 2 1
0 2 1
2 0 1
2 2 2
1 0 1
10 7
0 5 5
2 2 3
2 0 4
3 5 1
5 0 2
1 5 2
4 4 1
3 1 1
5 5 5
5 0 5
10 4
1 1 1
2 3 3
3 0 0
2 4 2
0 5 4
2 5 4
3 4 0
5 3 3
0 5 5
0 2 3
10 6
5 2 3
3 2 4
5 2 5
4 3 1
1 2 3
3 2 3
5 2 4
5 1 5
0 2 5
1 5 0
10 8
0 0 2
1 4 0
0 4 2
1 0 2
4 1 2
2 0 1
3 4 0
1 3 2
0 2 3
4 3 2
10 8
1 2 0
0 1 1
1 2 2
0 0 0
1 2 1
1 0 0
1 0 1
2 2 2
0 0 2
0 2 2
10 2
5 5 1
1 5 4
2 5 4
1 4 2
5 3 0
2 5 3
3 0 4
0 0 4
3 4 1
5 1 5
10 7
1 0 2
3 2 2
1 1 3
0 1 2
2 3 1
4 2 2
0 4 2
2 3 4
3 1 2
0 0 0
10 7
0 1 0
0 2 0
2 1 2
0 0 0
1 0 1
0 0 1
2 1 0
2 2 2
0 1 2
1 1 0
10 3
0 2 0
1 2 1
2 0 0
1 0 1
1 2 2
2 2 1
0 2 1
2 1 2
0 0 2
2 2 0
10 9
4 0 4
3 2 2
4 3 4
2 0 1
1 4 1
2 2 1
3 0 4
3 4 3
4 4 1
3 4 0
10 5
3 2 3
0 0 3
1 1 0
2 1 2
1 0 0
0 2 1
0 0 0
0 1 3
2 0 1
1 3 3
10 4
2 3 1
2 2 2
3 2 3
2 2 3
3 1 1
1 3 3
2 0 2
1 1 1
0 3 1
3 3 0
10 3
0 3 2
3 2 0
3 0 2
2 1 2
0 1 0
2 1 0
0 0 2
3 0 3
1 3 1
3 0 1
10 7
3 2 2
4 0 2
2 2 3
0 2 0
3 2 0
1 3 3
4 4 0
3 4 1
4 1 4
2 1 4
10 5
2 2 0
0 3 2
0 1 2
2 1 4
4 4 3
4 3 4
3 2 2
3 0 0
3 1 2
1 0 2
10 2
2 0 2
1 4 1
1 0 0
4 1 1
4 4 4
1 2 2
4 3 4
4 1 0
1 0 1
0 2 0
10 5
3 1 2
2 3 0
1 2 3
2 1 3
0 3 3
3 1 0
0 1 2
0 1 0
1 1 2
0 2 0
10 4
2 1 0
0 1 0
1 1 0
2 2 2
1 2 2
1 2 0
2 0 1
1 1 1
0 2 0
2 2 1
10 9
1 2 2
1 1 1
1 1 0
0 2 1
0 2 2
1 2 1
0 1 1
2 2 1
0 0 0
0 2 0
10 7
3 3 0
0 0 0
0 2 3
2 3 0
3 2 0
2 2 0
3 3 2
0 3 1
0 0 3
3 0 1
10 6
3 4 4
4 2 3
2 3 1
0 4 3
1 4 3
1 3 4
0 2 1
4 4 1
3 2 0
1 1 0
10 4
2 2 0
0 2 1
0 1 1
0 1 2
0 2 2
1 0 1
1 0 2
1 2 2
2 2 2
0 0 1
10 4
1 2 3
4 3 0
0 3 3
2 3 3
2 0 1
1 3 0
0 1 4
0 2 4
1 3 3
2 1 3
10 5
2 0 1
2 2 0
1 2 2
1 0 0
0 2 0
0 0 2
1 1 1
0 0 1
2 0 2
2 2 1
10 2
1 1 2
2 1 1
1 2 1
0 0 1
1 0 1
1 1 0
0 2 0
2 2 1
2 1 0
0 0 0
10 9
0 0 1
1 1 2
2 1 0
1 1 1
0 1 1
1 2 0
0 1 2
2 0 2
1 1 0
2 0 1
10 8
5 5 2
5 5 3
3 3 4
2 3 0
2 3 2
3 1 4
4 3 1
2 0 4
0 3 5
5 3 1
10 5
0 0 3
5 1 4
0 5 5
4 5 3
3 0 5
3 0 4
0 3 4
4 0 1
4 0 4
0 0 0
10 9
1 1 0
1 1 1
2 1 1
1 2 2
1 2 1
2 2 0
0 1 2
2 0 0
0 1 0
0 2 1
10 7
2 1 2
3 0 0
1 3 3
1 1 0
1 3 2
0 0 1
2 2 3
3 2 0
2 2 0
3 0 1
10 3
0 1 2
0 2 0
2 1 0
2 1 1
0 1 1
2 2 1
0 0 2
1 1 2
2 1 2
0 0 0
10 5
3 1 1
3 0 1
3 1 0
3 3 0
2 3 0
3 0 0
0 3 1
0 2 2
3 3 3
0 1 0
10 3
0 1 3
3 3 0
1 2 2
1 3 2
0 3 1
0 0 0
2 2 2
3 0 0
1 2 3
0 0 3
10 8
2 1 2
0 2 1
0 2 0
2 1 1
1 1 1
2 2 2
1 0 0
0 1 0
2 2 0
0 0 1
10 9
4 2 4
3 2 3
1 0 0
3 2 2
0 0 3
3 3 1
3 2 1
3 0 3
2 4 4
1 0 1
10 4
1 0 3
3 5 3
5 5 3
5 2 1
1 4 5
1 1 4
0 4 4
5 4 1
1 5 2
4 0 0
10 6
4 4 0
0 5 2
1 4 1
1 3 0
3 2 3
3 2 1
2 3 1
5 4 1
2 5 0
2 3 4
10 9
2 2 0
1 1 1
2 0 2
2 1 2
1 1 2
1 2 1
0 1 0
2 0 0
0 1 1
2 1 1
10 9
1 0 2
2 2 1
2 0 0
0 0 1
1 2 1
0 1 0
1 0 0
2 2 2
2 1 2
1 1 0
10 7
2 1 2
0 3 1
3 5 3
3 4 5
4 3 3
3 1 1
3 2 1
4 3 5
2 2 1
0 3 4
10 6
0 0 4
1 1 2
0 5 5
4 2 4
5 1 2
1 4 4
3 5 3
3 4 4
3 5 5
2 1 4
10 8
2 1 4
3 5 5
1 3 4
4 5 1
5 2 2
3 2 5
2 1 5
4 4 2
0 4 1
3 4 2
10 2
0 0 0
3 4 4
0 0 2
3 1 4
4 2 4
1 3 2
0 4 0
1 0 3
1 3 3
2 4 3
10 3
3 0 3
1 1 5
5 5 1
3 5 5
0 3 1
0 0 1
5 0 3
1 0 2
5 3 4
5 2 2
10 3
1 0 0
1 2 2
2 0 0
2 0 3
3 1 0
1 3 3
1 2 0
3 0 0
2 1 2
0 0 1
10 6
1 1 4
3 4 2
0 3 0
1 4 0
4 2 2
2 3 2
1 1 3
1 2 2
0 0 2
1 4 4
10 6
4 0 2
2 4 5
1 1 5
4 2 2
3 4 4
3 4 5
3 3 2
5 4 4
2 3 2
1 5 0
10 7
5 0 0
1 4 3
2 3 3
3 2 5
2 5 1
5 0 4
4 0 4
0 4 2
4 3 3
0 4 4
10 2
0 3 3
1 2 0
0 3 2
1 3 0
0 1 2
0 0 0
3 0 0
0 4 3
2 1 2
0 2 0
10 7
2 2 0
0 2 2
1 2 2
1 0 2
0 0 1
0 0 0
2 1 1
0 2 0
2 2 1
1 1 1
10 7
2 2 1
3 1 5
4 1 5
0 0 4
3 3 2
5 2 0
4 1 2
2 4 1
1 2 5
3 3 3
10 7
1 0 1
1 1 1
2 2 2
0 1 2
2 0 2
0 0 2
1 2 0
2 2 0
2 0 1
0 1 1
10 8
2 2 2
0 2 2
1 0 2
1 1 0
0 1 0
0 0 2
1 2 0
1 0 0
1 1 1
0 2 1
10 2
1 0 0
1 1 2
0 2 1
1 0 1
2 2 2
2 1 2
2 1 1
2 0 0
1 0 2
2 0 2
10 6
2 0 2
0 1 2
1 0 2
1 1 0
2 0 0
2 1 1
0 0 1
2 1 2
1 2 2
1 0 0
10 3
0 5 2
3 0 2
1 4 3
3 2 2
5 2 0
0 4 0
1 1 4
1 3 1
2 2 5
2 1 0
10 9
3 2 1
1 3 0
0 2 2
3 3 1
0 1 3
3 2 0
1 0 1
1 2 1
0 0 0
1 2 3
10 6
0 4 4
2 4 4
2 2 3
4 3 3
0 0 2
0 0 1
1 1 1
0 2 3
3 3 0
0 3 2
10 5
0 2 3
0 1 1
2 1 3
2 3 1
3 1 0
2 0 2
3 2 2
2 0 0
3 3 3
2 0 1
10 7
1 0 3
2 1 0
2 3 4
1 2 4
4 2 3
2 4 1
2 4 3
1 4 3
1 3 2
2 0 1
10 4
0 0 2
1 3 0
2 3 3
2 3 1
1 2 0
1 0 3
0 3 2
3 0 0
1 3 3
1 0 0
10 3
3 3 0
3 2 0
3 1 2
1 2 0
0 0 3
2 2 3
0 3 1
1 0 0
0 1 3
1 3 0
10 3
1 1 0
2 2 0
1 0 3
0 1 3
1 0 1
2 1 0
3 3 3
1 1 3
2 2 1
1 1 2
10 4
2 2 2
0 2 2
0 2 1
1 1 0
0 0 0
0 1 1
0 2 0
1 0 0
0 1 2
1 0 1
10 2
0 3 2
0 0 3
1 3 1
3 3 0
2 1 3
2 1 1
0 0 1
3 1 0
3 0 3
0 1 0
10 8
2 1 0
1 1 0
2 1 1
2 0 0
1 0 2
2 0 1
1 2 1
0 2 1
0 0 2
0 0 0
10 6
1 1 0
0 1 1
2 1 1
2 0 1
2 1 0
1 0 2
2 0 0
0 1 0
1 0 0
0 0 0
10 6
2 2 0
1 3 2
0 1 2
0 0 3
3 3 3
0 0 4
4 3 3
3 3 1
4 2 2
1 3 4
10 4
2 1 1
0 4 1
0 0 2
4 2 0
2 2 4
2 0 2
1 2 1
1 3 1
2 0 3
0 1 0
10 5
5 5 3
0 4 3
3 0 1
0 3 5
1 4 4
1 3 5
2 3 4
1 2 3
3 5 2
3 3 0
10 7
0 0 1
1 3 0
1 0 1
2 0 0
1 2 2
3 1 1
2 1 0
3 1 2
3 3 0
0 1 0
10 8
2 0 1
1 1 0
1 2 2
2 1 2
0 1 3
0 3 3
0 2 2
0 3 2
3 3 1
3 0 1
10 2
2 2 2
0 0 2
2 0 1
0 1 0
1 1 0
1 2 1
0 2 2
0 2 1
2 1 1
2 0 2
10 8
3 2 3
0 3 5
1 3 0
1 3 4
1 2 1
4 5 0
5 0 2
3 1 2
0 0 4
5 4 3
10 9
0 0 0
1 2 2
0 1 0
0 2 1
1 1 2
1 2 1
0 2 2
0 1 1
2 0 2
2 0 0
10 9
0 1 0
2 0 1
0 0 0
2 2 0
1 1 2
0 1 1
1 1 0
1 0 2
2 1 1
0 0 2
10 3
2 2 0
4 1 0
2 4 1
3 0 4
1 2 4
0 0 4
3 0 2
1 0 1
0 4 0
0 0 0
10 2
2 1 3
1 2 0
3 0 2
3 0 1
3 1 2
2 1 0
0 1 3
3 1 0
1 3 2
3 2 3
10 5
3 2 0
3 1 1
3 3 1
3 1 3
2 0 1
1 0 2
0 0 3
3 3 2
1 2 2
2 1 3
10 2
2 1 2
3 1 1
0 1 4
1 2 3
4 2 0
2 3 3
4 3 1
1 4 1
2 1 3
3 2 0
10 4
2 4 4
4 4 4
0 3 0
4 3 1
4 4 1
4 0 3
3 1 4
2 1 0
3 3 2
1 0 3
10 8
2 1 1
4 2 0
2 3 0
0 2 3
0 4 1
1 3 1
3 3 2
0 2 4
2 3 1
0 1 1
10 5
0 0 1
1 3 2
2 0 0
1 3 3
0 3 0
2 3 2
2 1 0
0 2 2
2 2 1
2 3 1
10 6
3 3 2
3 0 1
2 1 0
1 0 0
1 2 3
2 3 1
2 0 3
3 0 2
3 2 0
1 0 1
10 5
4 0 2
5 0 1
4 3 0
3 5 4
4 4 0
0 5 4
3 3 5
1 4 3
5 1 5
0 0 0
10 2
3 1 4
5 0 5
5 3 5
4 4 5
0 5 4
0 0 4
5 0 2
4 5 0
1 5 2
0 0 5
10 2
1 2 1
0 2 2
2 0 0
2 0 1
0 2 1
0 1 1
1 0 1
2 0 2
1 1 1
2 2 1
10 3
2 2 3
3 2 0
1 3 2
0 2 3
3 0 2
1 1 3
1 3 3
0 2 1
3 2 3
2 0 0
10 5
0 0 2
0 0 3
3 0 0
1 2 1
0 2 0
0 2 1
2 1 2
1 1 3
1 0 0
1 3 3
10 2
1 3 4
0 2 1
2 0 3
1 0 2
2 2 4
2 3 3
2 1 3
1 0 0
3 3 1
4 0 4
10 9
0 0 3
1 3 3
1 2 2
0 0 0
1 2 3
1 3 2
3 0 2
0 0 2
1 0 2
0 2 2
10 3
4 3 4
2 2 0
0 2 0
4 3 1
4 4 4
0 3 3
2 1 2
4 2 1
2 3 0
3 3 0
10 9
3 1 2
0 1 2
3 0 2
3 3 3
0 1 3
2 2 2
3 2 3
3 3 2
0 2 3
3 0 0
10 2
5 4 4
4 1 5
5 3 3
1 5 3
1 5 5
2 2 1
0 4 5
5 1 5
5 3 4
0 3 1
10 9
4 5 2
3 5 2
3 3 5
2 1 4
2 3 3
3 4 0
3 0 4
2 4 2
1 5 0
5 1 1
10 2
1 3 0
2 0 5
0 0 5
3 2 2
1 1 1
0 3 3
3 5 1
5 3 2
4 2 0
4 3 4
10 9
3 0 1
1 0 1
0 1 2
1 3 2
1 0 2
0 0 0
2 0 1
0 2 1
1 1 1
3 1 2
10 4
1 3 2
3 3 3
2 1 1
2 3 2
2 0 1
3 0 1
2 2 2
3 3 0
2 1 3
0 0 1
10 3
0 1 2
2 2 1
0 1 1
1 1 0
1 1 1
2 0 0
1 0 0
0 0 2
2 1 0
1 0 1
10 3
0 1 1
0 1 0
2 1 1
1 1 2
1 1 0
1 0 1
2 0 0
2 0 1
2 3 2
2 2 0
10 9
1 1 2
1 0 2
1 2 2
0 1 2
2 0 2
1 2 0
0 0 1
1 1 0
1 0 1
2 2 2
10 8
0 3 0
3 0 1
2 0 3
2 1 1
3 3 0
0 0 1
3 1 1
3 3 2
3 3 1
3 2 3
10 8
3 0 1
1 0 1
3 2 1
4 3 4
4 4 2
1 3 1
4 4 1
1 0 2
2 0 1
1 3 0
10 6
0 2 2
2 4 3
4 4 4
3 0 3
2 1 2
0 3 3
2 1 0
0 2 1
3 3 0
1 3 3
10 9
1 2 0
0 1 2
1 1 1
1 1 2
0 0 2
0 2 0
2 1 1
0 2 2
0 1 0
1 1 0
10 2
1 4 1
5 1 1
3 3 5
5 5 4
4 3 4
2 3 0
3 3 4
1 4 5
4 1 0
5 0 3
10 3
3 4 1
3 2 1
0 2 3
3 0 0
1 2 0
4 3 2
1 4 2
3 0 3
3 3 4
0 4 2
10 6
1 1 1
2 2 0
1 2 1
2 0 0
1 2 0
0 2 2
1 0 0
1 0 2
2 0 2
1 2 2
10 3
4 5 4
1 3 3
3 2 5
3 5 5
1 3 4
2 3 3
0 3 2
2 0 5
3 3 5
5 3 3
10 7
1 2 0
2 2 3
2 3 2
3 2 0
3 3 1
2 0 0
1 1 2
1 3 2
1 3 1
0 0 0
10 3
0 3 0
3 2 0
3 0 0
0 2 0
2 2 3
0 0 3
2 3 0
0 3 2
0 3 1
3 2 3
10 3
2 2 0
2 0 1
1 1 0
1 2 1
1 0 0
0 1 0
1 0 1
1 1 2
2 1 1
0 1 2
10 9
3 0 2
0 3 1
4 4 4
4 0 4
3 0 4
4 1 0
2 1 0
3 1 4
0 0 0
3 0 3
10 5
2 0 0
3 3 5
0 1 3
4 1 1
2 0 4
2 1 4
3 0 3
0 0 5
5 2 1
1 5 2
10 6
1 0 0
1 0 3
1 0 2
0 2 3
2 0 2
0 2 1
3 1 1
3 0 3
2 2 0
1 3 3
10 6
0 2 1
3 3 1
1 2 1
1 2 3
0 0 2
2 2 1
3 2 3
3 0 1
3 3 2
0 1 0
10 2
2 0 2
0 0 0
0 1 0
0 2 1
1 1 0
1 0 1
0 1 2
1 1 2
1 1 1
2 1 2
10 2
1 5 0
5 3 4
3 2 2
0 4 2
3 2 4
2 2 0
0 4 5
3 2 0
2 1 1
2 0 4
10 7
0 1 1
0 2 1
0 0 1
1 1 0
2 1 0
1 1 2
2 0 2
1 0 1
0 2 0
1 0 0
10 9
5 5 2
2 2 5
5 2 2
4 0 0
2 5 4
0 0 2
5 4 2
3 1 1
3 2 4
5 3 5
10 4
2 4 4
4 1 3
0 4 0
4 3 3
1 4 1
2 4 1
4 1 4
0 0 3
4 4 1
1 2 4
10 5
1 4 1
2 0 4
2 3 4
1 3 3
0 0 3
0 1 4
3 3 4
3 1 2
2 0 3
4 4 4
10 3
2 2 1
1 2 3
5 4 2
1 4 0
4 0 3
5 2 5
0 0 4
2 5 4
5 5 3
3 1 1
10 9
4 0 4
3 1 3
4 1 1
3 0 5
3 4 2
0 0 4
4 3 1
3 5 1
4 4 4
2 2 0
10 6
1 1 0
1 0 2
2 1 2
1 2 1
2 0 1
2 0 0
2 1 1
1 2 2
2 1 0
0 0 2
10 4
0 2 5
1 4 5
0 4 4
1 2 2
1 2 3
2 5 1
3 0 3
1 5 1
4 4 1
2 1 1
10 3
3 4 1
1 0 0
2 3 1
4 0 3
2 3 3
3 4 0
0 1 4
4 1 4
4 4 4
0 4 3
10 2
1 1 0
0 2 1
1 2 2
1 1 1
0 2 2
2 1 1
2 1 0
0 1 1
1 0 0
0 2 0
10 3
0 0 2
2 0 0
1 2 2
0 0 0
0 1 1
2 1 2
0 0 1
1 0 0
2 2 2
1 0 2
10 7
1 3 1
2 4 4
4 1 1
3 2 3
3 4 1
3 3 0
2 4 2
1 3 2
0 4 3
2 3 4
10 4
2 4 1
1 4 2
1 1 2
2 4 3
0 3 1
1 2 4
4 1 0
3 3 1
3 4 1
0 1 0
10 2
1 1 2
0 1 2
0 0 0
1 0 0
1 1 0
2 2 1
1 0 2
1 2 1
1 1 1
2 2 2
10 6
2 1 3
0 2 4
4 1 2
2 5 0
3 4 4
1 0 0
3 1 5
1 1 5
3 5 1
3 3 2
10 6
2 1 3
4 0 0
3 3 0
2 4 5
2 3 3
0 5 0
5 5 2
1 3 5
5 3 1
2 0 2
10 9
3 2 3
1 0 0
3 3 0
3 3 4
2 1 3
1 2 0
3 0 4
4 1 2
3 2 1
0 4 2
10 2
4 0 0
2 3 4
4 4 3
2 4 1
4 1 0
1 0 0
4 1 1
3 2 3
1 3 0
4 2 0
10 5
0 4 0
0 4 4
4 1 3
1 0 2
1 2 2
2 4 0
2 1 3
4 2 2
4 1 1
2 3 3
10 4
2 4 5
2 4 0
1 2 2
0 4 5
5 3 1
5 0 5
5 5 5
0 2 0
0 0 1
3 4 1
10 8
1 2 3
2 2 1
1 1 0
3 0 2
0 1 2
0 2 1
0 3 3
1 0 2
3 3 3
1 0 1
10 5
0 0 1
3 2 1
1 0 4
3 3 5
3 0 2
4 1 0
2 2 0
2 4 0
2 1 3
0 3 1
10 9
3 3 0
3 1 1
3 2 3
1 3 2
1 0 0
3 1 3
2 1 0
1 3 1
1 0 2
2 0 3
10 8
1 0 2
2 2 3
0 1 1
2 0 3
1 0 1
0 0 1
0 0 2
3 2 0
1 3 1
2 2 1
10 4
4 0 2
3 4 1
4 5 5
3 2 5
1 5 0
4 2 5
1 4 3
0 3 2
3 2 1
2 5 3
10 2
3 3 3
4 0 2
2 1 2
1 4 1
3 4 3
4 4 3
3 1 1
3 0 1
0 3 1
4 0 1
10 6
2 3 1
2 0 0
2 0 3
0 3 3
2 1 1
2 3 3
0 1 2
0 1 1
1 0 3
1 1 3
10 2
4 0 4
0 0 3
1 4 2
2 1 4
2 2 3
5 1 5
0 1 5
3 3 1
2 5 0
4 5 5
10 5
3 3 1
3 4 3
4 3 1
3 0 1
2 4 0
4 4 4
0 1 2
3 1 1
2 1 0
2 1 3
10 2
5 4 2
3 3 1
1 5 2
4 2 1
0 1 0
3 3 4
4 4 4
5 1 3
0 2 2
0 2 1
10 2
1 2 3
3 3 2
1 3 0
3 2 3
2 2 3
2 1 2
2 1 3
2 0 3
2 0 2
2 2 2
10 5
3 2 0
2 3 2
3 1 2
0 2 2
3 4 1
1 3 4
2 4 4
0 3 2
3 3 2
3 0 1
10 4
2 4 1
2 4 3
3 1 2
4 4 3
3 0 0
1 1 0
2 1 2
1 2 4
4 4 2
1 1 3
10 6
0 2 1
2 2 2
0 1 1
2 3 3
0 3 0
1 0 3
2 1 1
0 0 3
3 3 2
0 2 2
10 8
0 4 2
0 0 0
4 3 2
2 2 1
4 2 0
1 3 3
1 4 0
0 4 3
0 1 3
1 1 2
10 2
2 3 2
0 2 1
2 0 0
3 1 0
0 3 3
1 0 1
1 3 2
1 2 3
2 1 3
1 0 3
10 4
5 5 5
0 2 2
4 0 0
2 5 0
4 3 3
5 2 3
5 1 3
0 1 0
0 5 0
2 0 3
10 7
3 1 0
3 2 1
1 3 0
2 2 1
0 0 0
0 3 3
1 1 2
2 1 1
0 3 2
2 3 3
10 6
2 2 3
4 3 2
1 2 4
3 0 0
4 3 0
1 0 4
4 0 0
1 4 1
4 2 0
1 0 1
10 7
2 0 0
3 2 4
1 2 5
5 2 3
2 4 2
0 3 2
3 5 2
2 0 5
4 4 1
1 0 5
10 6
1 1 0
0 0 3
2 1 3
0 1 3
2 2 2
3 3 3
0 0 0
0 3 1
0 1 1
2 0 3
10 5
1 0 0
3 3 0
2 4 1
1 0 2
3 1 2
3 1 0
4 1 0
2 3 3
3 4 3
4 1 1
10 5
3 4 4
3 5 0
2 5 2
3 1 3
3 0 1
3 2 3
0 0 1
2 1 3
4 1 2
1 4 3
10 5
5 0 0
5 0 1
1 5 1
1 1 0
0 0 4
1 2 5
0 0 0
4 1 0
0 5 2
2 3 0
10 8
2 0 0
0 1 2
1 1 1
0 0 0
0 0 2
1 0 0
0 2 0
2 1 1
2 0 1
2 1 2
10 9
0 0 0
2 0 2
1 2 2
2 0 1
2 1 2
1 0 2
0 1 1
1 1 0
1 2 0
2 0 0
10 8
1 2 4
2 0 3
0 4 2
4 3 3
4 0 4
2 0 0
3 4 0
4 3 4
0 0 1
1 2 0
10 4
4 0 0
5 1 1
4 1 0
3 2 5
1 4 4
1 3 4
5 2 4
3 0 2
3 5 3
1 3 3
10 3
0 2 1
1 2 1
3 2 2
2 3 2
2 3 0
3 0 3
3 0 1
2 1 1
2 3 3
3 3 3
10 3
1 0 0
3 0 3
1 3 1
0 2 3
1 0 1
0 3 2
0 1 3
1 3 0
3 1 0
0 3 3
10 8
2 0 2
2 1 0
2 1 2
0 2 1
0 2 0
1 2 0
2 1 1
1 0 1
1 0 0
0 0 1
10 7
1 2 2
1 0 0
2 0 1
0 1 3
3 2 2
0 2 3
3 1 2
0 0 3
0 2 2
2 2 3
10 9
2 1 2
0 1 0
2 1 0
3 1 2
3 0 1
1 3 3
3 2 1
2 3 2
0 1 1
2 3 3
10 8
0 2 2
0 2 0
2 0 1
1 0 1
0 0 2
2 0 0
2 2 0
2 2 2
1 2 0
0 2 1
10 2
3 0 1
1 3 2
2 3 0
1 3 1
0 0 2
2 0 3
3 3 3
0 0 1
0 2 3
1 0 2
10 6
5 1 2
0 2 4
2 2 5
5 4 0
3 2 0
4 0 2
0 2 0
1 3 0
4 4 2
5 4 5
10 7
3 3 3
0 2 0
3 3 1
0 0 0
1 1 3
3 1 1
3 1 3
3 2 3
1 1 0
2 1 3
10 6
4 3 5
4 1 4
2 1 0
2 5 0
2 1 1
2 2 0
1 1 3
3 0 1
3 3 2
1 0 5
10 9
0 1 2
2 0 0
2 2 0
1 0 1
1 2 1
1 1 0
2 1 2
0 0 2
0 0 0
2 1 0
10 5
1 0 3
1 4 0
5 5 5
1 0 4
0 5 0
3 4 2
2 4 3
2 1 4
0 3 2
2 4 5
10 3
5 0 0
1 0 5
0 4 5
3 1 3
3 1 0
5 4 0
3 5 5
3 4 5
2 4 4
3 4 2
10 7
2 1 0
0 1 0
0 2 0
1 2 1
2 1 1
1 0 1
1 1 2
2 2 1
1 1 1
1 0 0
10 3
2 0 2
1 0 1
1 1 1
2 2 2
0 2 1
1 1 0
0 1 1
2 0 1
1 0 0
0 0 0
10 4
0 0 0
1 0 0
2 0 2
2 2 2
0 1 0
0 2 0
2 0 0
2 0 1
0 1 1
1 1 2
10 8
1 2 0
0 1 2
2 2 2
1 1 2
1 1 0
1 1 1
2 0 1
2 2 1
2 1 0
0 1 1
10 7
4 3 3
0 3 0
3 3 3
0 0 2
0 4 3
1 3 2
1 3 4
2 2 2
4 2 1
2 2 1
10 7
3 3 4
4 1 0
3 1 2
3 1 1
2 4 1
4 3 2
3 0 0
4 0 3
3 1 3
4 4 0
10 4
2 1 1
0 0 1
2 1 0
2 0 1
0 1 1
2 0 0
1 2 2
0 2 0
0 2 2
1 2 1
10 3
1 1 1
1 2 2
2 0 2
1 1 2
1 0 1
2 1 0
2 0 0
2 1 1
1 1 0
2 1 2
10 6
4 2 2
3 3 4
1 5 0
5 5 3
4 2 0
2 0 4
5 3 0
5 1 4
0 3 5
5 4 2
10 5
2 2 3
3 1 3
1 1 0
0 4 2
0 0 2
4 1 1
3 3 1
4 3 2
3 4 3
1 0 2
10 7
1 0 0
2 3 0
1 1 2
1 3 2
0 3 3
1 2 0
1 3 3
1 1 1
2 0 0
3 3 2
10 6
3 3 0
0 3 0
1 2 3
2 0 0
1 1 2
3 2 1
3 3 3
3 3 4
3 0 1
3 1 3
10 4
2 0 1
1 0 0
2 1 1
0 2 1
1 2 2
2 1 0
2 2 1
0 2 2
0 2 0
2 0 0
10 6
1 0 1
1 1 0
2 1 0
0 0 1
1 2 0
1 2 2
0 2 0
0 1 1
1 1 1
2 0 1
10 3
0 0 0
1 1 2
2 1 2
1 0 2
1 2 1
0 2 0
0 1 1
0 2 1
2 0 2
2 2 2
10 5
4 4 2
2 3 1
0 0 3
4 1 2
4 1 1
0 2 1
1 1 2
0 0 1
2 4 0
0 1 4
10 8
3 3 0
2 2 3
2 3 2
1 3 0
2 2 1
0 0 1
3 2 0
0 0 3
3 1 3
0 3 3
10 5
0 0 2
1 4 3
4 3 0
1 0 3
1 3 2
1 3 0
3 0 0
2 1 2
4 2 4
3 3 2
10 9
3 3 3
2 2 2
0 0 2
3 1 1
1 1 0
2 1 1
0 0 1
1 0 1
2 0 0
0 1 0
10 4
0 2 2
0 0 2
0 0 0
2 1 0
0 0 1
1 0 1
2 2 2
2 2 0
1 0 0
0 1 1
10 2
4 2 1
3 3 0
2 3 3
3 4 2
0 3 4
3 4 4
4 3 2
3 3 1
3 2 1
2 3 4
10 3
0 0 2
3 2 2
3 3 3
2 3 0
0 1 2
0 2 1
3 1 3
0 2 0
3 3 0
3 0 2
10 3
3 2 4
3 0 1
4 0 0
4 3 0
3 3 3
2 1 4
0 2 0
2 4 1
4 4 1
3 1 0
10 4
1 2 4
3 3 0
3 4 3
4 2 4
0 1 0
1 0 3
3 2 2
1 4 1
3 0 2
3 3 1
10 7
0 2 1
0 4 1
0 5 0
1 5 0
3 2 1
5 4 5
5 2 5
1 0 4
2 3 0
1 3 4
10 5
1 2 1
2 1 1
0 0 1
2 2 2
2 2 1
0 1 2
2 2 0
1 2 0
2 0 0
0 1 1
10 7
5 0 3
0 1 4
5 2 2
3 5 3
2 2 2
0 3 2
3 4 4
2 2 0
2 4 2
5 4 0
10 6
3 4 3
1 4 4
3 2 4
0 1 2
0 1 4
3 1 1
4 2 0
3 0 1
2 4 2
2 3 0
10 8
1 0 0
1 2 1
1 2 3
3 0 3
2 3 0
0 0 1
1 2 2
3 0 1
1 1 3
2 0 1
10 8
3 3 1
4 0 0
1 3 1
0 3 1
4 4 4
1 2 0
0 2 2
0 1 1
0 3 2
2 3 1
10 6
0 1 2
3 4 0
1 3 2
0 2 0
4 2 1
1 2 1
2 2 4
4 2 2
3 2 3
3 0 2
10 6
0 2 1
0 1 2
2 1 0
1 1 0
1 1 2
0 2 0
2 0 0
1 0 2
0 0 2
0 0 1
10 9
0 1 5
0 4 1
5 2 1
5 3 4
0 3 4
3 0 0
1 3 4
2 1 3
5 4 2
4 4 0
10 5
1 0 1
2 1 1
0 0 1
0 1 0
0 2 1
1 1 0
2 2 1
0 0 0
0 0 2
0 2 2
10 5
3 5 1
1 4 5
2 1 5
0 0 2
0 3 5
5 3 1
2 0 5
2 0 2
0 3 0
3 0 3
10 4
1 2 1
1 1 1
0 1 2
1 1 0
2 1 1
2 1 2
0 2 1
1 2 2
0 1 1
2 0 1
10 6
2 2 0
0 4 1
3 1 2
1 0 1
1 3 1
1 2 2
3 0 4
0 3 0
3 1 1
4 4 2
10 6
1 1 2
1 0 1
2 2 2
1 2 0
1 0 0
0 2 1
1 2 2
1 1 1
0 2 2
2 2 0
10 3
0 0 5
2 1 1
2 1 0
3 5 4
3 5 2
2 2 4
4 1 1
1 1 2
1 1 1
5 5 5
10 5
0 0 3
1 1 3
2 1 3
2 1 0
1 2 3
3 3 3
2 0 3
2 2 0
1 3 0
3 2 0
10 6
4 3 4
0 3 5
1 5 2
2 3 3
2 1 5
1 0 2
0 1 1
4 3 3
3 4 1
3 2 2
10 8
3 4 2
3 4 4
3 1 3
0 3 1
1 0 3
3 2 3
3 1 1
0 3 2
2 4 3
2 0 3
10 8
2 0 1
1 3 0
1 2 3
1 1 0
2 2 1
1 0 3
1 1 1
0 1 3
1 0 1
2 0 2
10 7
2 0 0
1 0 0
0 3 4
4 2 1
2 4 2
0 2 3
4 4 3
0 1 4
2 1 0
0 3 0
10 5
1 2 2
2 2 1
1 2 0
1 1 2
2 2 0
0 0 1
1 0 2
0 1 2
1 1 1
1 0 1
10 5
0 1 0
2 2 1
2 0 0
2 2 2
1 1 2
2 2 0
2 0 1
1 1 1
1 0 2
1 2 1
10 5
0 2 1
2 1 2
1 0 1
0 1 2
2 2 2
0 2 2
2 2 0
1 1 1
1 1 0
2 0 1
10 9
0 1 0
2 2 0
3 2 0
2 0 0
1 0 1
2 1 3
2 1 1
1 1 1
1 0 3
3 1 1
10 8
4 3 3
1 1 5
4 4 4
3 2 2
5 5 0
1 1 1
4 5 5
5 1 3
5 3 2
2 3 2
10 5
4 0 4
4 3 2
3 1 1
0 4 2
0 0 0
0 0 1
4 0 0
4 2 1
1 3 1
0 2 3
10 2
1 0 1
0 0 1
3 0 2
0 1 3
3 2 0
0 0 3
3 0 3
1 1 3
2 1 1
3 2 3
10 2
0 1 1
1 2 1
2 2 2
2 1 0
2 0 0
0 0 2
2 1 2
0 0 1
0 1 2
2 1 1
10 9
1 3 0
5 1 3
1 2 5
0 4 1
2 0 0
0 1 4
5 3 0
0 2 5
4 2 3
4 1 3
10 6
0 5 1
3 1 1
0 2 2
2 3 5
0 1 2
5 1 4
2 2 2
5 3 4
3 4 0
5 3 0
10 5
2 0 2
3 0 3
3 1 0
1 0 3
3 2 2
2 0 1
2 2 1
1 1 0
2 3 1
2 1 2
10 2
2 0 1
0 1 2
1 2 3
2 3 0
0 3 2
3 1 0
3 1 2
2 0 0
1 3 3
3 3 0
10 4
0 4 4
3 4 3
3 0 4
3 4 5
4 3 5
5 1 5
3 4 2
1 0 2
1 4 1
5 2 3
10 2
0 0 2
2 1 1
2 2 1
0 1 0
0 2 2
1 0 0
2 1 2
2 0 2
0 2 1
1 1 1
10 8
0 1 0
2 2 2
0 2 1
0 2 2
2 0 1
2 0 2
1 2 1
1 2 0
1 1 2
1 2 2
10 7
0 2 1
3 0 2
0 0 3
1 0 3
1 3 0
3 0 3
1 2 1
1 2 3
2 3 1
0 3 0
10 2
0 4 4
2 4 4
4 1 0
2 2 4
4 1 2
2 0 0
4 1 1
1 3 4
0 2 1
4 4 1
10 4
2 0 1
2 2 0
0 1 0
0 0 1
0 2 0
2 2 1
2 1 0
2 0 0
2 1 2
1 1 2
10 2
1 5 1
2 2 1
0 1 2
4 3 2
0 5 5
2 0 3
4 1 1
4 5 1
4 4 0
4 4 1
10 4
3 1 3
2 3 2
3 3 1
1 2 1
1 2 2
1 3 2
1 0 2
3 0 1
2 0 1
2 3 0
10 3
0 1 0
2 2 2
0 0 0
0 2 2
2 1 1
0 1 1
2 0 1
1 0 2
0 0 2
2 1 2
10 6
4 1 2
3 1 2
1 1 0
1 0 5
2 2 4
5 2 1
4 2 1
1 5 0
1 4 2
1 4 3
10 3
0 3 1
0 2 2
2 2 0
3 1 1
2 2 3
1 2 0
1 0 0
2 1 0
3 3 1
0 0 3
10 2
1 3 4
4 2 3
1 4 4
1 1 1
0 1 1
4 2 1
1 0 2
3 0 0
1 1 4
0 2 1
10 2
1 0 0
1 0 2
2 3 0
3 2 2
2 2 1
3 3 1
0 0 1
3 0 1
1 2 1
0 2 3
10 7
0 1 0
2 2 0
0 2 2
2 1 0
0 1 2
1 0 2
1 1 2
0 0 2
2 2 1
1 2 2
10 2
1 0 3
1 3 3
0 1 0
2 3 0
0 2 3
1 3 0
0 1 3
1 2 2
3 2 3
1 0 2
10 9
0 2 0
2 1 1
2 0 2
2 2 2
1 1 2
0 1 2
0 0 1
0 0 0
1 1 0
2 0 0
10 2
1 1 1
2 2 2
1 0 0
2 2 0
1 2 2
1 2 1
0 1 2
0 2 1
0 0 2
2 1 1
10 2
0 0 1
1 1 1
2 2 2
2 1 0
2 2 0
2 0 1
1 2 0
2 1 1
0 0 0
2 0 0
10 8
2 1 2
0 2 1
0 0 0
1 2 1
0 0 2
2 2 1
2 0 1
2 0 2
0 1 2
0 2 2
10 6
1 3 0
1 4 2
2 4 1
4 3 0
2 3 3
1 0 4
1 1 3
0 0 2
1 3 4
2 0 4
10 8
0 3 3
1 2 2
1 0 0
3 2 0
1 3 2
3 1 2
1 2 3
0 2 1
1 0 3
3 0 3
10 5
1 0 0
2 1 2
1 1 0
0 1 2
0 1 0
0 1 1
2 1 0
0 2 1
0 0 2
0 2 0
10 5
4 3 2
1 2 3
4 4 5
4 2 3
3 2 2
2 0 0
2 2 1
5 2 4
1 2 4
0 1 0
10 7
1 4 3
3 2 3
4 4 3
2 1 0
1 1 4
4 0 0
1 2 0
4 0 2
2 0 2
2 0 0
10 3
0 2 2
0 2 0
2 0 1
2 2 1
0 1 2
1 1 1
0 1 1
1 1 0
1 2 2
2 2 0
10 7
2 1 0
0 1 1
0 1 0
2 0 2
0 0 1
2 2 0
1 0 2
2 1 1
0 2 0
2 2 2
10 2
3 2 1
4 0 3
2 2 4
1 2 2
1 4 3
0 4 3
1 3 3
2 1 2
0 1 1
3 4 0
10 7
3 1 2
2 0 0
2 1 1
1 1 3
0 3 3
3 2 2
1 1 1
2 1 2
1 3 1
0 0 0
10 2
0 2 0
0 0 1
0 1 0
1 2 2
0 2 1
1 2 0
1 1 0
2 0 2
0 1 1
2 1 2
10 6
0 2 2
2 0 1
2 2 0
1 3 1
3 0 1
0 1 0
3 1 1
0 0 1
1 2 2
1 3 2
10 2
0 0 2
2 3 5
1 1 2
3 5 1
5 5 4
3 2 3
3 3 0
1 2 1
2 0 0
3 5 4
10 5
0 3 0
1 3 3
2 3 0
3 1 1
0 3 3
2 0 2
0 2 3
0 2 0
2 2 2
2 3 1
10 2
0 1 0
0 0 0
0 2 0
1 1 0
2 1 2
1 2 1
1 2 0
1 0 0
0 0 1
2 1 0
10 3
0 0 0
3 1 0
1 3 2
0 1 0
1 1 2
2 0 0
0 3 1
1 1 3
0 3 0
0 2 0
10 2
3 0 4
5 2 0
4 0 4
4 5 1
3 5 1
2 0 4
0 3 2
4 2 2
0 0 3
3 5 2
10 4
3 0 2
1 2 1
0 1 1
3 1 2
2 2 2
1 3 1
3 1 0
3 3 3
3 0 1
1 3 0
10 4
1 4 0
4 1 1
3 1 1
4 3 5
3 2 3
0 5 4
3 0 1
5 2 2
1 0 3
2 0 3
10 2
0 1 4
5 3 5
3 2 3
4 0 4
0 4 1
5 5 4
4 3 3
0 3 5
1 2 1
1 4 0
10 9
1 3 3
3 0 3
4 1 1
0 3 3
3 2 2
3 1 0
3 0 4
2 2 1
1 0 3
4 0 2
10 5
1 2 2
1 2 0
0 1 2
1 0 0
2 0 1
1 1 1
0 2 0
1 1 2
2 1 1
1 1 0
10 3
0 1 2
1 1 1
3 2 1
0 0 3
3 2 2
0 1 1
0 0 2
2 0 0
2 3 1
1 2 3
10 3
1 0 4
1 4 0
3 0 1
3 4 0
4 3 2
4 0 0
1 2 1
1 0 2
4 0 4
4 2 4
10 8
0 0 0
1 1 1
1 0 0
0 0 2
0 0 1
1 2 2
2 0 0
1 0 2
2 2 0
0 2 1
10 8
0 4 3
4 2 3
0 2 0
0 2 3
4 1 3
1 1 2
0 4 4
4 3 0
0 0 1
1 3 0
10 9
0 2 3
0 3 0
4 4 4
0 1 0
0 1 1
0 4 0
3 4 1
4 1 0
0 0 4
2 0 3
10 3
3 3 3
2 2 1
0 2 3
2 2 3
0 3 0
2 0 2
3 3 1
2 1 2
3 0 1
0 3 3
10 8
0 0 2
2 2 2
1 2 1
2 1 2
2 2 1
2 0 0
1 1 0
1 2 0
2 0 1
0 1 2
10 3
0 2 0
2 3 2
2 2 0
2 3 3
0 3 2
0 0 0
3 0 0
2 1 1
0 1 2
3 3 0
10 4
0 1 1
1 1 2
1 2 0
2 2 1
2 0 2
1 0 0
1 2 1
2 2 2
1 0 1
0 1 2
10 4
3 1 1
0 2 2
2 2 2
1 0 2
0 3 3
3 1 3
2 2 0
3 2 3
3 3 0
0 2 0
10 6
0 3 0
1 0 2
0 0 1
2 2 2
1 1 1
3 0 3
2 0 0
3 2 0
0 1 3
0 3 3
10 7
1 3 3
1 1 2
2 3 1
1 2 3
0 1 2
1 3 2
3 2 2
3 0 3
0 0 3
2 1 3
10 6
0 2 2
1 0 0
1 0 1
0 2 0
2 1 2
2 2 2
0 0 2
1 2 1
0 0 1
2 0 2
10 3
2 2 0
0 1 0
0 2 2
2 1 2
0 2 0
2 2 1
2 0 2
1 1 0
0 0 2
2 0 1
10 9
2 1 0
0 2 0
1 2 2
2 2 2
1 0 0
1 0 1
0 1 0
0 0 0
2 2 1
1 0 2
10 7
1 4 4
2 4 3
2 2 3
1 2 2
3 3 4
3 4 2
2 1 2
0 0 0
1 0 0
4 3 1
10 4
0 1 0
3 1 3
1 1 1
3 2 1
1 2 0
0 2 2
0 0 1
2 1 1
2 1 3
2 0 1
10 5
2 2 4
2 3 4
0 2 0
3 4 0
3 3 2
3 4 1
4 1 4
1 0 1
3 3 4
2 2 3
10 6
1 2 2
0 0 0
2 1 0
1 1 0
2 0 1
2 1 2
2 2 2
1 0 2
2 0 0
0 2 1
10 4
0 0 1
0 3 0
0 1 0
2 2 3
3 0 3
1 1 1
0 2 3
2 3 1
2 3 3
2 0 3
10 7
1 2 2
3 3 3
3 3 2
2 3 3
2 1 1
1 0 1
0 2 1
0 1 0
2 3 0
1 0 3
10 5
1 2 0
0 1 1
2 5 4
5 2 0
4 5 3
3 4 2
0 5 1
4 3 3
5 0 0
2 4 5
10 9
0 1 1
1 2 1
1 0 2
1 0 1
1 1 1
2 0 1
1 1 2
0 2 1
0 0 2
0 1 0
10 2
0 2 0
2 1 1
1 1 1
1 0 1
1 1 0
0 0 1
2 0 1
2 0 2
2 0 0
2 2 1
10 7
3 2 1
3 0 1
0 2 1
1 1 2
3 3 0
1 0 1
0 1 3
2 3 2
1 1 3
3 2 3
10 5
4 1 3
3 1 1
1 2 5
1 0 2
4 1 5
3 5 0
4 5 3
1 4 2
0 0 1
1 5 4
10 7
4 0 0
1 1 3
4 3 0
3 2 1
5 2 5
4 4 1
3 1 0
5 1 5
0 0 4
4 0 3
10 9
1 2 3
0 0 1
3 3 1
0 1 0
4 1 3
0 3 0
1 1 2
0 4 2
2 0 3
2 0 4
10 3
2 0 1
3 4 3
0 1 2
3 2 5
5 3 3
4 0 3
5 0 2
4 2 0
3 0 2
0 2 1
10 8
3 5 2
4 5 0
4 2 2
0 0 0
1 3 1
4 5 3
2 0 0
3 4 2
3 1 2
3 3 5
10 7
1 3 1
3 5 0
2 0 2
4 3 0
5 5 0
2 3 4
0 3 4
0 5 0
3 3 3
4 0 1
10 5
0 2 2
1 0 2
1 2 0
1 1 1
0 0 2
2 0 0
2 1 2
1 1 2
0 1 0
0 2 0
10 6
1 2 1
2 2 2
0 1 1
2 1 2
0 0 0
1 2 2
2 2 0
0 2 0
0 0 2
2 2 1
10 6
0 3 1
2 2 1
3 1 3
1 0 3
0 0 3
1 2 0
1 0 1
2 0 2
3 2 2
0 2 2
10 8
3 2 3
3 0 0
1 3 0
3 0 2
2 2 1
3 1 3
0 2 0
2 0 0
2 1 1
0 0 0
10 4
1 0 1
2 2 1
1 2 0
0 0 2
2 0 2
0 1 1
2 0 1
0 0 0
0 2 1
0 1 2
10 7
3 3 2
2 1 0
1 1 1
0 2 0
0 0 3
1 1 3
1 1 0
1 3 1
1 2 0
2 3 0
10 9
3 2 3
4 2 0
5 5 0
1 2 2
4 4 1
2 0 1
1 1 4
5 4 1
4 5 1
1 1 1
10 2
0 0 1
2 2 0
2 1 0
3 3 2
1 3 1
3 1 2
0 0 0
2 0 0
0 3 3
0 2 2
10 8
3 1 0
3 4 4
2 2 0
4 0 4
3 3 4
1 4 3
0 4 2
1 2 3
3 2 0
2 4 2
10 6
1 1 1
2 0 1
1 3 3
0 3 1
1 0 1
1 0 3
2 3 3
3 3 0
2 2 1
3 1 0
10 5
0 0 2
2 0 0
1 2 1
2 1 1
0 2 0
2 0 2
1 2 2
1 1 2
2 1 2
1 0 0
10 2
4 1 5
2 4 4
2 5 2
4 3 3
1 5 2
4 5 4
1 2 3
3 0 3
1 2 5
4 0 0
10 2
2 3 1
3 1 3
2 3 0
1 2 2
1 1 3
1 3 2
2 0 0
2 0 3
3 1 0
3 2 2
10 2
1 1 2
1 1 1
0 2 1
2 0 2
0 0 1
2 1 0
2 1 1
0 1 2
2 1 2
0 1 1
10 7
1 3 0
0 0 1
2 1 1
3 2 3
3 1 2
3 3 2
3 0 0
1 3 2
2 2 1
3 0 1
10 9
2 2 2
0 1 1
0 1 2
1 1 2
1 0 2
1 2 2
2 0 2
0 1 0
0 2 2
0 0 0
10 6
3 2 1
1 1 1
2 0 2
0 2 1
0 0 2
0 2 3
3 0 3
1 3 2
2 3 1
0 3 1
10 3
0 1 0
0 0 1
2 2 1
1 0 2
2 1 0
2 2 2
0 1 1
1 2 1
1 0 0
0 2 2
10 6
0 4 3
4 4 2
0 1 0
5 1 5
2 5 2
2 5 0
1 4 1
3 3 3
4 2 5
4 0 0
10 8
3 4 2
2 0 3
4 3 2
0 2 1
1 1 3
0 2 0
2 3 4
1 0 1
1 2 1
0 0 4
10 5
0 1 1
1 1 1
0 2 2
1 2 1
2 2 0
2 1 0
2 1 2
1 1 0
2 0 2
1 2 0
10 4
2 4 2
0 0 0
1 3 3
0 0 4
2 2 0
1 0 3
0 4 2
2 1 3
4 0 3
1 4 3
10 3
5 3 4
4 1 2
1 4 5
2 5 4
1 1 2
2 3 4
0 0 3
2 0 3
2 2 2
4 4 2
10 8
2 2 3
2 2 2
0 0 3
0 1 3
2 3 3
2 2 1
3 2 3
1 3 3
2 1 1
1 1 3
10 3
5 2 1
0 2 5
5 0 5
0 1 0
0 2 4
2 5 4
3 0 4
0 1 3
0 2 2
5 1 2
10 8
1 1 1
0 0 1
2 2 1
2 1 2
1 0 2
0 0 2
0 1 0
0 2 1
2 0 2
1 0 1
10 3
0 3 3
3 4 1
3 1 1
1 3 3
3 3 4
4 4 3
3 2 1
3 2 0
0 3 2
2 3 3
10 5
2 2 1
2 1 2
0 0 1
2 2 0
0 2 0
1 2 2
0 0 2
2 0 0
1 2 0
1 1 1
10 7
1 2 3
1 3 0
1 3 1
2 3 0
0 3 1
2 2 2
2 4 0
4 4 4
1 4 1
2 3 2
10 4
0 3 3
1 2 3
3 3 1
0 0 2
4 3 2
2 3 0
3 1 2
0 5 0
0 4 1
1 1 2
10 2
2 1 1
0 1 0
2 0 0
0 2 1
0 0 0
0 1 1
1 0 1
2 2 1
2 0 1
0 0 1
10 3
2 2 2
2 2 0
2 0 0
2 0 1
1 1 0
0 2 0
2 1 0
0 2 2
0 0 2
2 1 1
10 8
3 4 1
1 1 2
3 2 1
3 1 0
4 2 3
0 3 4
0 2 0
0 2 4
4 2 2
3 0 4
10 7
2 2 2
0 0 2
1 2 1
0 1 2
0 0 0
2 1 2
1 0 2
1 2 0
0 2 0
2 0 0
10 4
4 1 2
2 1 1
2 4 2
3 5 2
4 1 5
5 0 5
4 3 5
5 1 5
5 3 4
2 1 4
10 7
2 3 1
3 0 0
3 1 1
3 3 3
3 2 3
3 3 0
0 3 3
1 0 2
0 2 3
2 3 2
10 5
3 2 3
3 3 3
0 3 0
1 1 0
0 2 3
3 0 3
2 3 3
3 0 1
0 3 2
2 1 3
10 7
3 1 1
0 3 1
3 0 1
1 1 1
3 1 0
0 2 1
4 2 4
0 4 2
1 4 4
1 4 1
10 3
1 2 2
2 0 2
2 2 1
1 0 1
1 1 0
1 2 1
2 0 1
0 2 0
0 1 2
2 1 0
10 5
2 1 4
2 3 2
4 3 0
3 0 2
2 3 0
2 1 3
1 1 1
0 3 3
0 0 0
2 2 4
10 4
4 3 3
3 4 3
1 2 1
1 0 1
3 3 2
3 1 0
1 3 2
2 1 1
0 2 3
2 4 4
10 3
2 0 3
2 3 3
2 1 3
1 0 3
1 3 4
0 3 2
4 2 3
2 0 2
4 4 2
2 2 1
10 5
0 3 2
1 0 0
0 0 4
3 3 3
2 1 1
2 3 1
4 0 4
4 2 3
2 1 0
4 2 0
10 7
0 1 1
2 0 0
2 1 2
1 1 0
0 2 0
0 0 0
2 1 0
2 0 1
1 2 1
1 0 0
10 2
3 0 1
2 0 3
0 3 0
0 0 0
3 2 1
1 2 1
0 3 1
3 1 0
2 0 1
1 1 3
10 8
1 3 3
3 0 1
2 0 0
0 1 2
0 2 1
0 1 1
1 3 1
1 0 1
2 1 1
1 2 1
10 4
3 3 0
0 0 0
1 3 1
0 0 3
0 2 3
2 3 3
1 0 0
3 2 1
2 0 3
1 3 3
10 7
3 1 3
3 4 3
3 4 2
2 2 4
0 2 4
3 0 1
3 4 0
4 0 4
2 3 1
3 2 3
10 2
1 0 1
4 5 0
1 5 3
2 2 4
3 1 3
2 3 0
1 4 3
3 5 3
1 0 2
2 4 3
10 5
1 3 1
4 2 0
1 4 5
4 1 2
2 4 1
2 4 2
0 0 2
1 5 5
3 0 1
0 3 4
10 6
2 1 3
0 0 2
0 2 2
2 0 0
1 3 0
3 2 2
3 0 1
0 2 0
2 2 1
3 0 0
10 3
2 3 2
0 3 2
2 2 0
0 1 2
3 1 2
3 0 2
0 1 0
2 2 2
0 0 1
1 2 0
10 6
1 0 1
1 1 2
0 0 1
0 1 2
2 1 0
1 0 0
1 1 0
0 2 0
0 2 1
1 0 2
10 2
4 4 0
2 2 0
1 2 2
4 3 2
3 1 3
4 4 3
3 0 3
2 2 2
2 4 1
0 1 2
10 7
3 1 2
0 0 0
2 4 3
1 2 3
2 3 3
2 2 3
4 1 2
2 1 1
0 1 3
3 3 4
10 5
1 0 0
0 1 2
0 2 0
2 2 1
0 2 1
2 2 2
0 1 0
2 1 1
2 1 2
1 2 1
10 8
1 1 5
2 1 5
4 5 2
3 0 0
2 5 0
2 5 4
1 4 1
1 2 2
2 2 3
1 2 1
10 6
0 3 1
1 1 0
3 0 0
3 0 1
2 1 3
1 0 2
2 1 1
0 1 2
1 3 2
0 3 2
10 2
1 0 0
3 0 4
1 2 4
0 0 4
1 0 3
4 4 0
2 1 2
3 2 3
1 0 2
4 2 0
10 2
2 2 1
1 1 1
2 0 2
1 2 1
1 0 1
0 1 0
1 0 2
2 2 2
0 0 1
0 2 2
10 6
4 1 1
4 0 4
4 5 0
3 5 0
0 4 3
1 4 3
5 0 3
2 5 2
1 0 4
5 3 4
10 8
2 1 2
0 3 2
3 2 1
0 2 1
2 0 2
1 2 0
0 0 1
0 1 2
0 0 3
1 1 3
10 5
3 1 1
3 3 1
1 1 4
2 2 3
0 1 3
1 2 1
1 4 4
0 2 2
4 0 2
3 4 3
10 6
1 4 2
2 2 5
0 2 4
2 2 1
2 0 4
3 1 3
4 2 1
1 0 0
1 4 4
4 1 3
10 7
1 4 3
0 1 0
2 0 3
1 4 0
0 1 3
2 0 4
4 0 0
1 1 1
2 1 1
2 3 3
10 6
1 2 2
0 2 1
0 1 0
0 0 2
1 0 0
2 2 1
2 0 0
2 1 2
2 0 2
0 2 0
10 2
1 1 0
1 0 0
0 1 0
1 2 1
1 2 0
2 2 1
2 1 1
1 2 2
0 1 1
0 1 2
10 5
0 1 3
2 0 0
3 3 3
3 3 0
0 0 3
1 2 2
3 2 1
0 0 1
1 3 0
3 1 2
10 3
0 1 2
2 1 0
2 0 2
2 2 0
0 0 0
1 1 0
1 2 2
1 1 2
0 0 2
2 1 1
10 9
2 2 2
4 3 4
3 1 3
2 3 3
2 4 5
2 3 4
0 5 0
1 5 5
0 4 1
1 0 1
10 8
1 2 2
1 0 1
3 3 0
3 3 1
3 0 3
2 1 2
2 3 1
1 1 1
3 1 1
2 3 3
10 4
1 1 1
2 2 1
0 1 2
2 2 0
2 0 2
1 2 1
2 2 2
1 2 0
1 1 0
2 0 0
10 8
0 2 0
2 1 2
2 2 1
1 1 2
2 1 0
0 1 2
0 2 1
1 0 1
2 0 2
1 1 1
10 8
1 2 0
2 3 3
0 2 3
3 1 1
3 2 3
3 0 0
0 3 2
1 0 1
0 2 0
2 0 3
10 7
0 1 3
2 3 2
3 2 4
0 5 4
3 0 2
5 5 4
2 3 4
3 0 0
1 3 1
1 2 3
10 4
3 3 1
3 4 1
4 4 2
2 1 3
2 4 4
2 0 2
3 3 0
2 4 2
1 2 3
3 1 4
10 3
4 0 3
4 2 3
2 4 3
4 2 4
4 1 4
3 1 2
2 0 3
4 0 0
4 3 3
4 3 2
10 9
2 3 3
1 3 1
2 2 1
1 3 3
3 1 3
1 1 1
0 0 3
2 2 4
3 0 2
3 0 0
10 8
2 2 0
1 1 1
2 2 2
1 0 0
0 1 1
1 1 0
2 2 1
0 0 0
0 0 2
2 0 2
10 8
2 4 4
2 4 3
2 3 2
3 4 0
3 0 3
1 3 0
3 2 4
4 2 4
0 3 3
1 0 2
10 5
1 0 2
2 0 1
1 1 2
1 1 0
1 2 0
2 2 1
0 1 0
2 2 0
2 1 2
0 0 0
10 5
1 5 0
0 3 0
3 4 0
4 3 0
2 0 2
3 5 0
3 5 1
3 0 2
3 3 3
0 1 2
10 3
1 0 2
1 0 0
0 1 0
1 2 2
1 1 1
0 1 1
1 0 1
2 1 2
2 0 2
0 2 2
10 8
2 0 1
1 2 1
1 0 0
2 1 1
2 3 2
2 1 2
0 1 2
2 3 1
0 0 3
1 2 0
10 7
2 1 0
0 0 1
0 0 2
2 0 0
1 1 2
0 2 1
2 0 1
0 0 0
1 2 0
2 2 1
10 4
2 3 2
0 0 2
4 3 0
0 3 1
2 0 4
0 3 3
2 2 2
4 1 0
2 4 0
3 1 3
10 5
3 0 4
3 0 2
4 2 1
3 0 1
0 3 1
4 1 3
2 4 3
2 0 1
4 3 3
0 3 2
10 8
1 2 1
0 3 0
1 2 2
2 2 1
0 1 1
2 3 1
0 3 2
2 3 3
1 1 3
3 0 1
10 4
2 0 0
0 1 2
0 0 0
2 1 1
2 0 1
2 1 2
0 2 1
0 2 0
2 2 1
2 2 0
10 2
2 2 2
2 1 0
1 1 1
2 2 0
0 0 0
1 0 2
2 0 2
0 1 0
2 2 1
0 2 2
10 2
2 2 0
5 1 4
5 5 5
1 2 0
0 0 4
1 0 1
3 2 2
1 0 4
4 0 1
2 0 5
10 8
3 2 0
2 1 0
2 1 3
1 3 1
2 1 1
0 1 3
0 3 2
0 0 3
0 0 2
1 0 3
10 8
0 1 3
2 0 0
0 3 2
0 1 2
3 0 0
1 3 3
3 1 3
0 3 1
2 2 1
3 3 3
10 4
2 4 0
3 2 0
1 1 0
3 1 3
0 0 1
3 4 1
1 3 2
0 1 4
1 1 3
4 1 0
10 5
1 2 1
2 1 2
1 1 0
1 2 2
0 0 1
2 2 2
0 1 2
1 0 1
0 1 1
0 1 0
10 3
3 2 4
1 2 2
1 3 3
4 2 4
4 3 3
3 1 0
0 3 0
0 4 1
1 0 0
3 3 4
10 5
1 1 1
1 1 2
0 1 0
1 1 0
0 2 0
2 2 0
2 2 1
1 0 1
0 1 2
0 0 0
10 2
2 4 4
4 1 5
5 2 3
0 5 3
4 1 4
1 4 3
5 5 2
5 4 4
0 2 5
4 3 3
10 9
3 3 0
1 3 2
3 4 1
2 2 2
4 0 4
0 1 0
4 0 1
1 0 3
3 3 2
0 1 1
10 5
1 3 0
2 3 2
3 1 1
2 3 3
2 2 2
1 2 0
0 1 0
1 0 0
2 0 2
2 3 1
10 2
1 0 0
0 2 2
2 0 1
0 1 0
1 2 1
0 0 2
1 0 1
2 0 0
0 1 2
0 2 0
10 8
0 1 4
1 0 4
3 2 4
0 0 3
1 0 2
1 4 3
2 3 2
0 3 1
1 1 3
1 0 0
10 9
0 0 2
0 1 2
2 1 0
0 0 0
2 1 2
0 0 1
0 1 0
1 1 1
2 1 1
1 2 0
10 2
4 3 4
1 4 1
2 3 2
2 2 2
1 2 2
4 4 1
0 1 2
1 1 1
1 2 3
3 0 4
10 6
4 3 2
2 0 0
3 4 0
3 3 2
2 4 3
2 2 2
1 0 0
1 2 0
0 4 3
3 0 1
10 7
1 0 0
1 1 1
0 1 0
1 0 1
2 1 2
2 0 0
2 0 1
2 2 1
0 0 1
0 0 0
10 6
0 3 0
3 4 4
0 2 3
0 4 4
1 0 0
0 0 2
3 0 0
4 2 2
1 2 2
0 3 2
10 3
2 3 1
3 0 1
2 0 3
1 2 3
0 3 1
0 0 1
3 2 2
1 3 2
3 0 3
2 1 3
10 6
0 1 3
2 0 2
2 3 1
0 2 3
3 2 2
0 1 1
3 3 3
1 1 1
3 0 0
2 2 1
10 5
4 0 0
3 4 2
0 0 0
2 1 2
3 4 1
4 3 1
2 2 4
0 2 1
2 2 0
4 4 4
10 5
1 1 1
0 2 2
0 1 0
2 0 0
1 2 1
2 0 1
2 2 0
1 2 2
0 0 0
2 1 1
10 6
3 5 2
3 4 5
4 2 1
0 2 0
3 3 5
5 5 3
3 2 2
5 1 2
5 0 2
5 3 5
10 3
3 1 1
2 0 0
3 0 1
0 1 1
1 0 2
2 3 3
3 3 3
2 3 1
3 2 0
2 2 0
10 8
3 0 0
0 2 1
2 0 0
1 2 3
0 2 3
3 0 1
1 2 1
0 0 2
2 1 2
2 0 3
10 2
2 1 2
2 0 1
1 1 1
1 1 2
0 1 0
1 2 2
1 2 1
0 1 2
2 2 0
1 1 0
10 6
1 2 0
0 2 0
2 2 2
0 0 0
1 0 2
0 1 2
1 0 1
1 2 2
2 1 2
1 1 0
10 3
3 3 2
1 0 5
0 0 5
1 5 5
3 1 3
1 0 2
4 2 0
0 1 1
4 2 3
0 3 0
10 5
1 1 0
0 3 1
3 1 1
0 2 3
1 3 3
2 0 3
1 3 1
0 1 3
3 1 2
0 3 3
10 4
0 2 0
2 2 2
2 1 1
2 1 2
0 0 1
0 1 2
1 0 0
0 2 2
1 0 2
0 2 1
10 2
4 1 4
3 4 0
0 4 3
0 2 3
4 0 4
4 4 4
4 0 3
3 3 3
3 1 4
3 4 1
10 8
3 2 1
4 5 1
2 2 3
1 2 5
0 1 3
0 0 2
3 3 3
5 0 3
1 5 3
2 5 5
10 4
0 2 2
2 0 0
1 0 0
0 2 1
0 0 0
1 1 0
1 2 0
0 1 0
1 0 2
1 0 1
10 2
0 2 1
2 1 2
1 2 1
0 0 2
2 2 1
1 2 0
1 0 1
0 0 0
1 0 0
0 2 2
10 5
1 2 2
2 1 1
0 2 0
0 1 1
1 1 1
0 2 2
2 2 2
0 1 0
1 2 1
0 2 1
10 6
2 1 5
4 1 2
1 4 1
4 5 3
4 4 1
0 5 4
5 5 0
4 5 0
5 2 0
3 1 2
10 7
1 0 0
0 3 0
3 3 2
0 0 2
2 1 3
3 0 1
3 2 1
1 1 1
1 2 1
2 1 0
10 6
3 0 2
0 3 0
0 0 2
3 2 1
2 0 1
3 2 0
2 2 1
0 3 2
2 3 0
0 1 1
10 6
1 1 3
0 2 0
2 3 1
3 0 0
2 3 3
2 0 0
2 2 0
1 2 3
3 1 0
2 1 2
10 4
5 5 2
0 5 2
4 3 5
4 4 5
1 1 5
4 2 4
3 0 5
1 0 1
0 4 2
5 0 4
10 7
3 5 1
3 0 5
0 5 5
1 4 4
1 3 1
0 4 4
1 5 5
4 0 3
0 5 1
3 3 2
10 4
0 3 2
0 3 0
3 0 0
1 2 4
0 1 2
2 2 0
2 1 2
1 1 0
1 3 4
2 4 0
10 2
0 2 3
3 3 3
3 3 1
2 1 2
2 0 0
2 3 2
1 1 1
0 1 2
0 0 1
2 1 3
10 4
3 4 3
0 2 3
2 4 2
1 3 4
3 2 2
4 1 1
3 3 1
2 0 0
4 2 3
2 0 3
10 4
0 2 0
2 1 1
0 2 2
1 2 2
0 1 0
1 2 1
1 0 1
2 0 0
0 0 2
0 1 1
10 9
2 2 3
2 0 2
1 3 3
3 1 3
1 1 0
3 1 2
1 1 1
0 0 2
1 2 3
0 3 0
10 8
2 1 1
0 0 2
0 1 1
2 1 0
1 1 0
0 2 0
2 2 1
1 1 2
1 0 0
0 1 0
10 5
5 2 3
2 5 2
4 2 2
0 0 2
3 2 5
4 4 5
4 5 2
1 4 0
2 3 1
5 2 5
10 2
2 0 0
1 4 4
0 2 4
0 1 1
2 1 3
1 2 2
2 4 0
2 4 2
1 1 2
0 3 3
10 9
0 3 1
3 0 2
2 1 2
3 0 3
1 2 1
4 1 0
3 0 0
3 3 4
3 4 4
4 4 1
10 3
2 0 0
0 2 0
2 1 1
1 0 2
0 1 2
1 2 1
1 1 1
0 2 2
0 2 1
2 2 2
10 5
2 1 1
0 2 1
2 1 0
0 1 1
1 0 2
1 0 0
1 1 1
1 1 0
2 0 0
0 0 1
10 4
2 1 3
3 2 2
2 0 0
0 1 0
2 3 1
3 0 2
0 0 2
3 3 0
3 2 1
1 3 0
10 5
1 4 0
2 4 3
0 1 4
3 1 0
2 4 0
5 2 4
4 5 2
1 5 5
2 5 0
2 0 3
10 9
3 2 0
2 3 3
1 1 1
0 3 3
1 1 2
3 2 2
1 3 0
1 0 1
0 2 2
2 1 2
10 8
0 0 4
3 3 4
2 2 2
0 3 3
3 3 2
4 3 3
3 1 2
3 4 0
1 1 1
2 0 3
10 2
0 0 0
2 2 4
1 1 1
4 0 2
2 1 2
2 4 2
1 0 2
3 4 0
0 0 4
4 0 0
10 5
2 2 2
0 0 2
3 2 3
1 1 1
3 3 3
2 1 2
2 2 1
0 3 0
2 3 2
0 3 2
10 6
0 0 2
0 1 2
2 2 2
2 0 2
1 1 1
2 1 2
2 2 1
0 2 1
1 0 2
2 1 0
10 7
3 1 2
1 4 0
0 4 3
2 5 4
5 5 3
4 3 5
4 4 3
3 5 3
5 2 1
4 2 2
10 7
1 0 0
2 0 3
1 0 3
4 4 3
3 4 0
0 0 0
4 1 4
3 3 3
0 2 1
3 0 4
10 8
0 2 2
0 3 0
3 3 1
1 3 0
0 3 1
1 3 3
0 1 2
0 0 3
0 3 2
2 1 0
10 5
3 3 2
3 2 2
2 1 3
2 0 0
0 0 0
2 1 1
3 0 0
0 1 2
1 1 1
2 3 3
10 9
0 3 3
2 1 2
4 3 3
0 0 3
2 3 4
4 4 2
4 2 1
0 1 4
4 0 4
2 1 3
10 8
0 2 1
1 0 2
2 0 2
0 2 0
2 1 2
1 1 2
1 2 0
2 2 1
1 0 0
0 1 1
10 4
3 2 3
0 3 1
0 0 1
0 1 2
2 3 1
4 3 3
4 0 0
0 1 4
1 4 4
3 1 4
10 2
2 0 0
1 1 2
2 0 2
0 2 0
0 2 2
2 1 0
2 2 0
0 1 0
2 1 2
2 1 1
10 5
1 2 0
0 0 1
0 2 1
1 0 1
2 1 0
2 1 1
0 2 0
2 2 1
0 2 2
1 0 0
10 6
4 4 0
1 0 4
4 2 0
3 1 2
1 0 0
2 4 4
4 2 2
2 2 4
2 0 4
0 4 3
10 9
2 3 0
2 1 3
1 2 3
2 3 4
1 3 0
4 1 4
0 1 2
3 2 0
1 0 2
1 1 3
10 9
2 2 2
1 2 0
2 0 2
2 0 1
1 1 2
2 2 1
2 1 0
0 1 1
1 1 0
0 2 1
10 4
0 1 0
1 1 0
1 2 1
0 2 2
2 0 1
0 0 2
2 1 1
0 0 1
0 0 0
1 1 1
10 8
1 1 2
2 1 1
2 1 2
1 0 1
1 1 1
0 2 1
2 0 1
0 1 0
1 2 0
0 1 2
10 2
1 1 1
2 1 0
2 2 2
0 0 0
1 2 2
2 0 0
2 1 2
2 2 1
0 1 2
1 0 0
10 7
1 3 0
0 3 2
1 1 0
2 0 3
2 3 2
1 2 1
2 3 0
3 2 1
1 3 1
2 1 3
10 7
0 0 1
1 4 4
4 1 1
2 2 2
4 0 2
0 4 4
0 4 2
3 1 2
1 0 1
1 0 3
10 7
2 1 2
0 2 2
2 1 3
2 3 1
2 3 2
0 3 3
3 3 0
1 2 3
2 2 1
1 2 2
10 6
2 0 3
2 3 1
0 3 3
2 2 3
0 1 2
3 2 0
1 0 3
3 1 2
2 1 2
1 3 0
10 9
5 3 3
4 1 2
4 4 5
5 0 3
0 1 4
3 1 2
2 4 1
5 0 5
3 3 0
3 0 5
10 9
2 3 3
0 0 0
1 2 3
1 0 3
2 2 3
0 1 0
1 3 2
0 2 1
3 1 3
3 0 3
10 2
1 3 2
4 4 1
3 0 3
3 3 4
3 1 0
0 4 4
1 2 1
4 2 0
0 0 2
2 3 2
10 4
0 0 1
2 2 0
1 3 2
3 2 1
1 0 0
1 3 0
3 0 2
0 2 3
3 2 0
1 2 2
10 8
2 1 2
0 1 0
1 1 0
2 0 2
1 0 2
2 0 1
1 2 2
0 1 1
2 1 1
2 2 0
10 4
3 1 3
2 0 1
1 2 0
0 1 2
1 3 0
2 0 2
2 0 0
1 1 0
2 0 3
1 1 2
10 9
1 0 0
2 3 0
3 1 2
3 3 2
1 2 2
2 2 3
0 3 3
0 3 2
3 2 0
0 3 1
10 3
3 1 0
2 5 4
0 5 3
4 3 1
5 5 5
3 1 4
2 1 1
5 2 0
3 1 1
2 0 1
10 8
0 1 2
0 0 1
2 1 0
1 1 2
0 2 2
1 2 2
2 2 0
0 0 2
0 2 1
1 0 2
10 2
0 0 0
1 0 1
2 2 0
0 2 1
3 0 2
1 3 0
1 0 2
3 2 3
1 1 0
0 1 0
10 8
2 0 1
2 2 0
0 2 1
0 0 0
1 0 2
1 0 1
1 0 0
1 2 1
0 0 1
2 1 0
10 2
0 0 1
2 2 2
1 3 0
0 3 2
1 2 0
0 1 3
0 1 2
3 0 0
2 2 0
2 1 2
10 8
1 0 1
0 2 2
2 0 2
1 2 2
1 2 1
2 2 1
0 0 1
0 2 0
0 1 0
0 0 0
10 6
0 0 4
5 4 4
0 0 0
4 0 2
2 4 3
1 5 2
1 0 5
3 3 5
1 2 5
3 5 3
10 9
1 0 1
2 1 0
1 5 5
5 4 5
3 0 2
0 4 2
0 2 5
1 5 3
3 2 2
1 4 3
10 8
2 0 3
2 2 3
0 3 3
2 3 2
1 0 3
2 3 4
1 3 2
0 4 3
1 2 0
4 1 1
10 6
0 0 2
1 0 2
0 0 1
2 0 3
3 2 3
0 2 0
1 0 1
2 2 3
0 2 3
0 0 3
10 9
2 3 4
0 3 1
5 1 0
5 0 5
4 5 2
2 5 4
5 4 1
3 2 4
5 3 2
2 2 1
10 3
0 0 2
1 0 3
2 2 3
2 3 3
3 2 3
0 3 1
0 4 2
1 1 0
4 3 2
4 2 2
10 6
1 0 2
2 0 2
0 0 0
0 2 2
1 2 3
1 3 3
0 1 0
1 0 3
3 2 2
2 1 3
10 9
0 1 3
1 3 2
3 0 0
0 1 2
3 0 3
0 0 1
1 1 1
1 0 2
0 0 0
2 0 3
10 3
1 2 4
2 0 2
0 0 1
2 1 2
0 3 3
2 4 1
0 3 4
2 3 4
2 3 1
0 2 1
10 4
2 2 2
0 3 3
1 2 2
3 3 0
1 0 0
1 0 1
1 0 3
2 3 0
3 0 1
0 2 3
10 6
3 0 0
4 5 4
0 3 1
0 4 2
5 5 2
3 3 1
3 0 1
5 5 5
5 4 4
0 0 4
10 5
1 0 1
0 1 2
1 2 1
0 1 1
0 0 0
0 1 0
0 2 2
2 0 0
1 2 0
2 0 2
10 7
0 4 2
3 0 4
0 0 2
4 1 3
1 0 1
0 1 0
0 2 4
3 0 2
1 0 2
0 4 4
10 6
2 1 3
1 1 0
2 3 3
3 0 1
3 1 0
3 0 2
0 0 0
3 2 1
3 2 2
3 3 1
10 9
4 2 4
4 4 4
4 1 3
2 0 0
2 3 2
1 2 0
3 3 2
1 0 4
3 1 4
2 4 3
10 9
0 1 0
0 1 3
4 1 1
1 3 0
0 3 1
2 0 1
1 4 1
4 1 0
1 0 0
0 1 2
10 8
0 2 2
2 0 0
2 0 1
0 1 2
0 0 0
0 2 1
0 0 2
2 1 2
0 2 0
2 1 1
10 3
3 3 1
2 1 3
2 0 3
0 3 3
0 1 1
0 0 1
3 0 1
2 0 1
3 2 3
2 1 2
10 3
3 2 0
1 0 2
0 1 1
0 3 1
1 0 1
2 2 1
1 2 3
3 3 0
0 3 2
0 0 1
10 9
1 0 2
3 0 0
2 3 1
1 3 3
4 0 3
4 1 0
1 3 1
4 1 1
2 3 4
1 4 1
10 3
3 3 2
0 1 1
3 1 3
4 1 0
1 0 1
4 4 4
3 1 0
4 4 0
4 5 2
4 2 1
10 8
3 2 3
3 2 4
2 2 0
0 2 2
3 4 2
3 2 1
1 3 2
1 4 0
3 1 2
1 4 2
10 9
5 2 1
1 1 1
0 1 5
4 1 0
3 4 2
2 0 4
3 1 5
4 5 2
0 4 1
0 3 5
10 9
1 2 1
0 0 2
2 0 1
2 0 2
2 1 1
0 2 2
0 2 1
2 1 0
1 0 2
1 1 0
10 3
2 1 1
0 4 4
4 0 2
1 0 1
0 1 1
0 4 2
0 0 0
4 2 3
4 2 1
0 3 4
10 9
4 1 0
3 2 5
1 4 4
2 4 0
4 5 2
0 2 0
0 2 1
0 1 1
1 1 3
4 2 4
10 7
0 2 1
0 0 2
0 1 2
1 0 0
0 0 0
0 0 1
2 1 1
1 2 1
0 1 0
1 0 2
10 8
5 1 1
2 5 5
4 1 0
4 5 3
5 5 5
3 5 5
1 3 0
2 2 0
2 2 4
5 0 5
10 6
2 0 0
1 0 2
2 0 1
2 1 1
1 2 0
2 2 1
1 2 1
0 2 2
1 0 0
2 1 0
10 2
3 2 3
1 4 4
2 2 3
3 0 4
3 4 5
0 0 4
3 4 0
2 5 5
4 5 5
0 5 5
10 6
4 1 3
4 2 0
2 1 1
3 0 2
3 2 4
1 3 2
0 1 2
0 0 2
4 1 2
2 4 2
10 7
0 1 1
0 2 0
0 3 1
2 2 0
2 0 0
1 3 2
2 3 2
1 3 0
1 1 1
0 3 0
10 6
2 1 4
5 1 5
4 1 5
0 1 2
5 1 4
5 2 4
4 5 4
0 1 0
3 1 2
3 4 3
10 6
4 3 3
1 2 1
5 2 2
3 1 3
3 5 4
0 0 2
4 3 4
0 2 4
3 3 4
5 2 1
10 4
0 1 2
0 0 2
0 2 1
1 0 2
2 0 2
1 1 2
2 2 1
2 0 0
0 1 0
2 0 1
10 7
1 2 1
0 1 3
2 3 2
3 4 0
0 3 2
2 0 1
0 0 2
0 1 0
0 2 3
3 1 0
10 5
2 0 0
2 2 1
1 1 0
0 0 2
0 1 0
1 1 1
1 0 1
0 1 1
2 1 1
1 2 0
10 7
4 2 4
2 4 3
2 4 2
1 4 2
3 3 2
0 0 0
0 1 0
3 1 4
1 1 1
3 4 2
10 7
1 2 4
4 0 3
4 2 4
4 3 4
2 2 4
2 2 2
2 2 1
4 0 4
4 1 2
0 0 3
10 7
2 1 0
2 2 2
2 1 1
3 2 0
0 3 1
2 2 0
3 1 1
3 0 3
1 0 2
3 0 0
10 7
0 2 3
2 1 2
2 3 0
1 0 1
4 0 4
2 3 5
4 5 5
0 2 5
1 2 4
4 1 0
10 6
2 0 2
2 2 1
1 2 1
1 1 2
0 2 1
2 0 1
1 0 1
0 0 2
1 0 0
1 1 1
10 7
2 1 0
3 0 2
0 3 0
1 1 3
0 0 3
3 3 1
1 1 2
0 0 1
0 3 3
2 0 3
10 8
0 0 3
2 2 2
2 3 0
2 3 3
3 2 3
1 1 1
1 2 1
0 2 0
1 3 0
0 0 0
10 4
1 4 3
2 2 0
1 0 1
2 0 1
2 2 3
1 4 2
0 4 1
1 2 2
2 1 1
3 4 0
10 4
2 0 0
2 2 4
0 3 2
3 4 0
0 0 0
0 1 2
2 4 0
3 2 1
3 3 3
3 2 4
10 3
1 2 1
2 3 2
0 3 2
3 3 1
0 0 3
2 1 0
2 1 1
2 1 2
2 2 0
2 1 3
10 5
3 3 2
4 4 4
1 1 2
0 2 0
1 1 4
1 2 0
0 0 3
3 4 3
1 2 1
4 3 2
10 5
0 2 0
2 0 1
2 2 0
2 2 2
0 0 0
0 0 2
0 2 2
1 0 0
1 2 0
1 0 2
10 3
2 1 3
0 0 4
4 3 4
1 4 2
3 1 4
3 2 4
4 1 2
4 4 4
2 0 2
4 3 2
10 4
0 2 1
0 1 2
0 3 1
1 0 0
3 0 3
2 0 1
0 2 2
2 2 0
1 1 3
3 0 2
10 4
2 0 2
5 4 0
2 1 5
0 0 4
4 5 2
0 4 1
5 4 3
4 2 0
2 3 5
0 5 4
10 6
0 1 1
1 0 2
0 0 1
2 0 2
1 2 1
2 0 1
2 2 1
1 1 0
0 0 2
1 2 2
10 8
3 1 1
1 2 3
0 2 1
0 1 0
2 0 1
0 1 1
2 3 2
1 0 1
3 2 3
0 0 0
10 3
3 3 1
0 1 0
1 3 2
3 0 2
1 1 3
1 2 3
2 2 1
2 3 2
2 3 1
1 0 2
10 7
4 3 2
4 2 1
0 0 2
2 0 2
1 4 1
2 0 4
4 0 4
2 3 1
2 0 3
0 1 1
10 2
1 0 2
2 2 1
1 0 0
0 2 1
1 2 2
2 2 0
1 0 1
0 1 1
0 2 0
0 1 2
10 7
1 0 0
2 1 0
0 1 2
1 0 2
2 2 1
2 1 2
0 1 0
1 1 1
0 0 0
0 0 1
10 9
5 1 3
4 3 1
4 0 3
5 0 1
5 4 3
3 4 4
2 1 3
5 4 2
0 4 0
4 2 5
10 4
4 1 4
1 1 0
3 3 3
4 4 0
1 1 3
3 2 2
0 1 2
3 3 4
2 3 3
1 4 0
10 8
1 3 5
3 1 5
3 4 1
0 0 5
3 2 0
0 5 5
2 0 5
5 2 4
4 4 4
5 5 0
10 8
3 2 3
2 0 0
0 1 3
3 1 1
3 1 2
0 2 0
2 1 1
0 2 1
2 3 1
2 3 0
10 7
2 2 3
1 2 5
1 3 2
0 5 0
1 2 3
4 0 1
4 3 5
2 0 2
1 4 2
1 4 0
10 2
1 4 0
0 3 2
3 0 4
0 1 2
1 1 4
0 2 3
4 1 1
0 4 2
3 0 3
3 1 0
10 3
3 3 1
4 2 1
2 3 5
0 2 2
2 5 3
3 4 5
0 5 4
0 1 1
0 0 0
4 4 5
10 3
2 2 2
2 2 1
0 1 2
2 1 1
2 0 0
1 1 0
0 1 0
0 2 0
0 2 1
0 0 1
10 8
0 0 3
3 1 2
3 2 0
2 2 1
2 2 3
0 3 2
1 0 3
2 1 3
3 1 3
1 0 2
10 7
2 0 2
1 0 0
2 1 1
2 2 1
0 1 0
0 1 2
1 2 1
2 2 2
2 0 0
2 0 1
10 2
2 2 5
1 2 5
0 3 1
1 1 0
0 3 0
0 5 0
0 4 2
1 3 2
3 2 5
1 3 0
10 9
2 1 1
0 0 1
0 1 2
1 2 1
1 1 1
0 0 0
2 1 0
2 0 1
0 2 2
2 2 2
10 9
0 0 1
1 2 1
1 0 2
2 0 0
1 1 2
2 2 2
2 2 1
1 0 0
1 1 0
0 2 1
10 5
0 1 0
1 0 0
1 0 4
1 2 0
3 0 2
4 1 1
2 0 0
0 0 2
2 2 2
3 1 4
10 6
4 2 3
2 2 2
2 3 1
3 1 4
4 1 1
4 4 2
2 2 4
3 0 1
0 1 2
2 4 4
10 5
1 3 4
2 4 0
2 2 4
5 0 3
0 5 1
4 4 4
1 5 3
4 5 3
4 0 4
3 0 4
10 9
2 1 3
2 4 3
2 3 2
1 4 0
3 3 1
4 3 1
0 2 1
2 3 0
4 1 1
0 2 3
10 4
2 3 1
4 0 0
3 4 1
4 2 0
0 0 0
2 2 3
2 1 1
4 3 3
0 0 1
1 2 0
10 7
3 1 2
3 3 0
1 3 1
0 3 0
0 1 3
0 1 0
0 3 2
3 0 2
1 0 3
1 3 0
10 6
1 4 3
5 5 0
2 2 1
1 3 2
3 1 1
1 2 0
4 2 2
2 1 3
4 5 2
1 1 2
10 7
2 3 3
2 2 0
0 2 2
1 2 1
2 1 0
3 2 2
3 3 3
0 3 2
3 2 0
0 0 2
10 9
2 2 2
4 0 0
5 4 1
5 2 5
0 1 1
2 4 5
2 3 4
3 5 5
0 1 5
4 3 5
10 9
1 1 0
0 0 0
0 3 0
0 3 1
2 2 2
1 0 2
2 1 0
0 1 0
3 1 3
0 0 1
10 8
0 2 0
0 1 2
2 1 1
0 0 1
2 1 2
2 0 0
0 0 0
1 2 2
1 2 1
0 2 2
10 2
2 4 4
3 5 4
0 4 4
1 1 1
3 3 3
3 5 5
2 3 2
3 5 0
1 2 0
0 1 3
10 9
3 0 2
3 1 3
3 3 2
3 2 3
0 0 3
0 2 2
1 3 1
2 0 2
3 3 0
0 3 3
10 9
2 1 4
3 1 1
0 1 1
3 4 0
0 4 2
4 3 0
1 2 4
3 0 3
0 4 1
1 0 4
10 2
1 0 1
0 1 5
2 2 2
1 2 1
4 3 0
1 2 4
5 1 0
4 4 4
4 1 5
3 5 0
10 4
1 0 2
1 0 1
2 1 0
2 1 1
2 0 2
0 1 0
2 0 0
2 0 1
1 2 2
1 2 1
10 2
2 0 3
0 1 2
3 0 0
3 1 0
1 2 0
2 0 0
2 1 2
0 2 3
0 2 2
0 0 2
10 5
2 2 5
0 2 1
3 2 0
2 2 2
4 5 0
1 2 0
1 0 2
4 4 1
3 5 3
0 5 4
10 5
0 1 4
3 4 1
1 1 2
1 1 1
2 4 1
0 2 1
2 3 1
4 0 0
2 1 4
1 0 3
10 2
3 0 5
4 5 3
4 1 3
2 2 4
4 0 3
3 2 5
2 1 4
2 5 1
5 1 5
4 1 1
10 6
1 2 2
1 2 1
0 2 1
2 1 1
1 1 0
0 1 2
2 1 0
2 0 0
2 0 1
1 1 1
10 7
2 2 2
0 1 2
2 0 1
2 2 0
1 0 2
1 1 1
1 2 0
1 2 2
1 2 1
0 2 2
10 2
2 3 5
5 0 4
0 3 5
1 0 1
2 5 1
0 2 2
0 5 0
1 2 3
5 4 4
3 2 1
10 9
0 3 4
4 2 5
5 2 5
2 2 5
1 2 0
0 4 1
5 1 2
2 1 0
1 5 2
5 0 3
10 8
4 4 3
4 2 4
0 4 3
0 3 0
2 1 0
0 2 0
0 4 2
1 1 3
1 3 4
1 3 1
10 2
1 1 0
1 0 2
1 2 1
2 0 1
0 3 3
3 0 3
1 2 2
3 0 1
2 0 0
2 3 1
10 4
2 3 2
3 4 3
5 1 0
5 2 5
4 4 3
4 3 4
5 5 4
2 3 4
4 0 3
4 4 2
10 4
1 2 0
0 2 1
1 1 1
0 2 2
2 1 1
1 0 0
2 0 1
0 0 2
0 2 0
2 0 2
10 2
1 2 1
3 2 2
0 0 1
2 0 2
0 0 2
2 3 3
3 1 1
0 0 3
2 0 0
1 3 0
10 9
0 2 2
2 2 1
1 1 1
2 1 1
0 1 1
1 2 0
2 1 2
2 0 2
1 1 2
2 0 0
10 2
0 3 3
4 4 3
5 2 2
3 0 3
2 3 2
1 0 0
3 2 1
0 0 0
5 5 5
2 5 3
10 7
0 3 2
2 1 3
0 0 3
2 1 1
3 2 2
3 3 1
3 2 3
1 3 2
0 3 3
0 1 3
10 7
2 1 3
2 0 1
1 4 3
3 4 3
0 0 0
1 3 0
3 3 3
0 0 3
4 4 4
4 4 1
10 6
1 0 2
1 2 1
1 2 2
2 2 2
3 1 3
2 0 1
1 1 0
2 2 3
1 3 2
1 1 3
10 8
2 4 3
3 3 1
0 4 0
0 0 3
1 3 4
2 2 4
2 4 0
1 2 1
0 1 2
4 3 3
10 6
1 0 1
0 0 1
2 1 1
2 0 2
1 2 2
2 1 2
0 1 0
2 2 2
2 0 1
2 2 1
10 2
2 2 0
2 3 4
1 0 1
4 2 1
3 4 1
2 3 2
4 2 4
1 3 1
3 1 1
2 0 1
10 8
2 0 2
2 1 1
0 1 2
2 2 1
1 1 0
1 0 2
0 2 1
0 1 1
1 0 0
1 2 1
10 5
0 2 0
2 1 1
3 0 2
0 2 3
0 0 0
0 0 2
3 2 3
1 1 1
2 2 1
3 1 0
10 4
3 0 2
2 1 3
0 4 3
0 2 1
1 3 2
4 1 2
4 3 4
2 3 4
2 4 1
3 1 4
10 2
0 2 3
4 3 3
3 1 3
4 2 2
0 0 2
4 2 4
2 2 3
3 4 4
4 3 2
1 2 1
10 6
0 0 2
2 2 0
2 0 2
1 2 0
1 1 0
1 1 1
2 0 0
0 2 1
1 0 1
0 2 2
10 9
4 2 3
4 0 2
4 4 2
1 0 3
4 0 3
0 4 3
1 1 2
3 2 1
0 1 1
2 0 2
10 2
2 1 0
2 3 2
3 2 2
0 3 1
1 1 0
0 2 0
0 3 3
0 1 2
2 0 1
3 0 2
10 6
0 2 3
0 2 2
3 3 2
1 1 1
2 2 2
2 3 2
1 2 0
2 2 3
1 2 2
2 2 1
10 3
1 2 0
3 3 3
4 3 3
0 4 1
1 0 0
3 4 2
3 0 0
4 3 1
2 3 0
2 1 3
10 5
3 2 1
4 2 2
3 1 1
2 1 4
0 4 0
2 0 4
1 0 3
2 3 3
4 0 1
3 2 2
10 6
3 4 3
5 5 0
0 2 1
0 4 0
5 5 4
1 2 4
1 2 3
1 5 3
5 2 0
2 3 1
10 3
2 0 2
2 2 1
3 2 2
2 1 2
0 3 1
0 1 0
1 2 2
2 1 1
3 1 1
0 0 3
10 5
0 2 0
2 1 0
2 0 1
1 1 0
0 0 2
1 2 0
0 2 2
1 1 1
2 1 1
1 1 2
10 5
1 0 2
0 2 2
0 2 1
0 2 0
2 1 1
1 2 0
1 1 1
0 0 0
0 0 1
0 1 0
10 3
5 2 2
4 0 4
1 3 5
1 2 0
5 1 3
2 4 2
2 5 2
5 4 4
4 4 3
2 1 4
10 3
1 3 4
4 2 0
2 0 2
3 0 2
4 0 4
1 3 2
0 4 4
0 3 0
4 4 2
2 2 3
10 5
2 1 1
0 2 0
4 0 3
0 1 5
2 2 0
2 1 0
0 5 3
1 3 1
2 5 5
4 5 1
10 6
1 3 2
2 1 1
1 0 2
0 3 2
0 1 0
1 3 1
0 0 2
3 0 1
0 0 3
2 3 3
10 9
0 2 0
2 2 0
3 0 1
3 0 2
2 0 2
0 1 1
0 0 2
0 2 1
1 3 0
2 0 3
10 7
3 2 0
1 0 2
0 3 1
2 0 0
0 3 4
3 4 1
2 2 3
4 3 4
3 0 3
3 4 4
10 5
0 1 0
0 0 0
0 2 0
2 1 1
0 2 1
2 2 1
0 1 2
1 1 2
1 0 0
2 0 2
10 3
1 2 3
2 2 2
2 3 2
2 3 1
2 2 3
3 2 0
3 1 1
0 3 1
3 2 1
2 1 0
10 4
2 1 1
3 1 3
3 3 4
4 2 2
0 4 0
1 4 4
4 2 0
3 3 1
1 2 1
1 3 0
10 8
5 1 3
5 5 0
4 3 0
2 2 4
3 3 5
2 1 5
0 3 2
5 4 0
1 5 2
0 1 4
10 6
0 2 0
2 2 0
0 1 0
2 0 0
1 1 2
0 0 0
0 0 1
2 0 2
1 1 0
0 2 2
10 3
0 3 0
3 2 0
0 3 2
2 3 1
2 3 0
0 3 1
0 1 2
2 3 2
0 2 3
3 1 0
10 8
0 0 2
2 2 3
3 2 2
2 3 0
0 1 0
2 1 1
1 2 2
3 1 2
0 3 3
2 0 1
10 4
2 1 3
3 0 1
4 3 2
3 1 1
1 4 2
2 3 0
4 3 0
2 2 3
0 4 3
4 1 3
10 6
2 2 1
1 1 3
2 1 0
1 3 2
1 0 1
2 0 0
1 3 3
0 3 1
0 2 0
3 2 3
10 8
2 0 1
0 3 2
2 2 2
2 2 0
1 3 0
3 2 2
0 0 2
3 2 0
2 1 3
0 1 1
10 3
2 5 5
0 0 4
1 0 2
1 2 5
3 5 5
0 3 1
1 0 5
3 3 4
5 5 5
2 0 4
10 9
3 0 1
0 4 5
4 5 2
4 3 5
5 5 0
4 1 2
2 5 3
2 1 1
2 4 1
2 5 5
10 3
3 2 0
0 1 0
0 2 0
0 1 4
2 2 1
1 2 1
4 2 4
4 0 0
4 1 4
2 2 3
10 9
1 0 0
1 2 1
2 2 0
2 2 1
2 1 0
2 0 0
1 2 2
1 0 2
0 2 1
0 0 0
10 5
0 0 0
2 1 1
2 1 3
3 3 3
3 2 1
2 3 1
1 3 1
2 3 2
0 2 0
2 3 0
10 5
3 3 3
0 1 1
0 5 0
0 1 2
0 3 2
4 2 2
4 1 2
5 4 4
0 2 5
3 4 0
10 7
1 3 1
0 2 0
0 3 3
1 2 2
2 3 3
1 0 1
3 1 1
3 2 2
2 3 2
2 0 3
10 6
4 3 1
4 1 3
4 2 0
2 1 4
0 2 0
5 5 2
2 3 3
1 5 0
5 4 2
1 2 4
10 8
0 2 0
2 4 4
3 3 4
1 3 0
1 3 1
0 3 0
2 3 2
3 2 1
2 3 1
1 3 3
10 7
0 0 2
1 2 2
1 1 1
0 2 1
0 2 0
2 1 1
1 0 0
1 2 0
2 1 2
2 0 2
10 6
3 2 5
0 4 3
5 3 3
4 4 5
2 4 0
4 4 1
0 2 2
4 2 5
3 4 4
0 1 2
10 3
1 2 1
0 2 1
0 1 0
0 2 0
2 1 0
2 2 1
0 2 2
0 1 2
2 0 2
1 1 1
10 4
3 4 0
4 3 0
1 2 2
3 2 4
2 3 2
2 4 3
4 1 3
4 2 0
0 2 3
0 2 2
10 5
5 5 1
2 0 3
3 2 0
4 0 4
5 2 2
0 2 1
5 1 4
0 5 3
2 2 3
3 1 1
10 7
1 3 4
0 0 0
2 4 2
2 4 0
2 3 4
2 4 4
0 3 2
0 1 4
1 0 2
1 1 4
10 9
2 3 2
0 4 3
3 4 1
4 2 1
0 0 3
2 2 2
3 3 3
4 1 0
4 3 2
2 3 4
10 2
2 2 0
1 1 2
0 1 2
0 1 1
2 1 0
1 2 1
1 2 0
2 2 1
2 0 2
0 2 2
10 4
0 0 2
2 1 2
2 0 2
4 0 2
2 0 0
3 1 2
4 3 3
1 0 0
0 4 1
3 0 4
10 9
3 3 0
1 1 3
0 1 3
3 2 1
3 3 3
2 0 1
0 1 1
0 1 2
1 1 2
3 2 2
10 6
3 3 1
3 3 3
0 1 1
1 3 4
2 1 2
1 3 0
0 4 2
4 4 3
4 2 1
4 4 1
10 8
0 0 1
1 0 1
1 2 1
1 0 0
2 0 1
0 2 0
1 1 1
0 0 0
0 1 2
2 2 1
10 8
4 2 2
4 0 1
0 0 0
4 4 1
3 1 0
3 4 2
5 4 4
0 0 2
2 2 5
1 4 2
10 4
2 1 4
1 1 3
2 1 3
3 4 4
3 3 3
1 2 4
4 2 2
4 3 1
4 1 4
3 1 3
10 2
1 4 3
5 1 2
2 1 5
4 0 2
2 1 2
3 5 2
4 4 4
3 4 5
2 2 4
4 2 4
10 8
0 2 2
0 1 0
1 1 1
1 2 0
0 1 1
2 1 2
2 1 0
0 0 2
2 2 0
1 1 0
10 5
2 1 1
0 2 2
1 0 0
1 2 0
0 0 1
2 2 2
1 1 2
2 2 1
0 1 1
1 1 1
10 8
1 0 2
0 0 2
0 0 1
3 0 1
3 3 2
1 1 3
3 1 1
1 1 0
0 3 0
2 1 1
10 5
0 2 0
2 2 0
0 0 0
2 0 1
0 1 1
1 0 1
1 1 0
1 1 2
2 1 1
0 1 2
10 9
2 0 1
2 4 0
0 0 4
2 2 0
1 4 2
0 1 3
1 4 3
2 3 0
0 3 0
0 3 3
10 9
2 2 0
4 4 0
3 0 2
1 4 0
2 4 0
2 1 1
3 0 1
1 0 1
4 0 2
2 0 4
10 4
0 1 0
0 2 1
0 0 1
2 2 1
0 0 2
0 1 2
2 2 2
2 1 2
1 0 2
0 0 0
10 5
2 0 0
2 2 0
2 2 2
1 2 2
0 2 2
0 2 0
0 0 2
1 2 0
1 2 1
0 0 1
10 5
2 3 4
1 4 4
2 1 2
4 3 4
4 0 4
3 4 0
2 4 4
3 2 3
2 2 3
4 0 3
10 7
4 1 5
2 1 4
1 3 2
5 5 5
2 1 2
2 1 0
0 0 2
4 3 4
1 5 3
2 0 0
10 4
0 3 0
0 2 1
3 4 0
5 2 3
0 3 4
5 3 5
1 2 0
0 3 1
4 4 3
3 3 2
10 3
1 1 2
0 2 0
1 2 1
2 2 0
1 0 0
1 2 2
1 0 1
1 1 1
2 1 1
2 0 1
10 8
5 0 2
2 5 1
2 1 5
1 5 0
3 4 5
4 3 5
2 5 2
0 1 5
3 5 0
2 4 4
10 5
2 1 2
2 2 2
1 2 2
2 0 1
2 1 1
1 2 1
1 0 2
1 0 0
0 0 2
2 2 0
10 2
1 2 1
1 0 2
3 2 0
1 2 2
1 3 2
2 2 2
1 2 3
3 2 2
2 1 1
2 3 1
10 8
2 2 1
1 5 3
1 3 0
4 4 0
0 1 5
1 1 5
2 0 5
4 1 4
5 2 3
2 0 3
10 3
1 4 1
3 4 2
1 3 3
0 1 0
4 0 2
0 3 0
1 1 4
2 0 3
4 1 1
1 3 4
10 5
2 1 2
0 3 3
2 1 0
2 3 1
0 0 3
1 0 2
0 1 3
1 0 3
1 0 0
2 3 0
10 7
2 0 0
1 0 0
2 0 2
0 0 1
1 0 2
1 0 1
2 0 1
2 2 2
1 2 0
0 0 2
10 4
1 0 1
0 1 1
2 2 0
0 2 2
1 2 1
1 1 1
2 2 1
2 0 2
0 0 0
0 2 0
10 9
2 2 2
2 3 3
1 3 4
1 5 4
0 3 1
3 4 3
4 3 4
3 0 1
1 4 0
2 5 2
10 7
5 1 2
5 3 1
5 4 2
4 1 2
0 1 5
5 3 2
2 5 2
4 5 5
3 0 1
4 5 3
10 5
1 1 0
1 3 0
3 2 3
1 0 1
1 3 3
3 3 2
2 2 3
0 3 3
2 0 3
1 2 0
10 7
2 2 0
0 3 0
0 0 3
0 1 3
1 0 3
3 2 0
2 1 1
2 1 2
3 2 3
1 2 2
10 5
2 1 0
4 4 1
0 1 0
4 1 1
4 0 1
1 3 3
4 3 3
4 1 2
3 0 0
3 2 2
10 9
1 1 1
2 1 0
0 2 0
0 1 0
1 2 1
2 0 0
2 2 1
1 1 0
1 0 1
1 0 0
10 9
2 3 2
1 2 1
0 3 3
1 3 3
0 1 0
0 2 3
2 1 2
0 2 2
1 1 1
0 3 1
10 3
3 0 2
3 1 4
2 4 1
1 0 3
3 3 0
0 1 4
1 4 3
1 0 0
4 3 4
3 4 2
10 7
0 2 2
0 0 0
0 1 1
1 1 0
2 1 1
2 0 1
1 0 2
0 2 0
1 0 0
1 2 0
10 3
2 1 3
0 1 1
3 3 2
4 2 4
3 3 1
4 4 4
0 3 4
4 2 1
3 2 0
4 2 3
10 9
1 3 3
2 2 2
0 2 0
3 2 1
3 3 0
0 3 1
2 0 2
2 2 1
0 1 0
1 1 1
10 3
0 1 4
0 5 5
4 0 0
5 5 0
2 2 2
3 2 2
3 2 1
4 5 2
2 0 2
5 0 3
10 2
1 1 1
2 2 0
2 0 0
0 1 0
1 0 1
0 0 1
2 2 2
0 0 2
0 2 0
1 1 0
10 8
2 1 1
2 1 0
0 1 0
0 2 2
0 2 1
1 1 1
0 0 1
2 2 1
1 2 0
2 0 2
10 2
2 0 0
1 3 0
1 2 2
3 1 1
3 1 0
2 1 3
1 1 3
1 1 2
2 3 2
0 3 2
10 6
1 0 3
4 1 3
3 4 3
3 0 2
4 2 4
2 3 3
0 4 1
3 0 3
4 1 2
2 0 2
10 4
1 1 0
0 0 2
1 2 1
1 2 0
2 1 1
0 1 2
2 2 2
0 2 0
2 2 1
2 1 0
10 4
3 3 3
3 2 0
3 0 3
3 3 2
2 1 0
2 3 1
0 0 2
0 1 1
0 1 0
2 0 1
10 2
0 1 3
1 0 2
1 2 3
2 1 3
0 0 1
1 0 0
3 0 1
3 1 2
1 2 0
3 0 0
10 4
1 2 4
0 2 2
3 0 4
0 0 3
2 2 4
3 2 0
1 2 2
1 3 4
4 0 3
2 0 3
10 8
3 0 1
3 3 3
1 2 2
3 1 1
3 3 2
3 3 0
0 2 3
2 2 3
0 0 0
2 0 0
10 5
3 2 0
0 1 2
3 1 3
1 3 0
0 2 0
3 1 2
0 0 2
2 3 0
3 0 3
0 3 0
10 4
4 3 0
4 3 3
4 3 2
0 1 1
2 2 0
1 2 4
4 3 1
4 2 0
1 0 1
3 3 2
10 5
0 1 3
3 1 3
2 0 2
2 2 1
2 3 0
1 3 3
2 3 2
2 3 1
3 0 3
0 2 0
10 6
3 2 0
2 1 2
0 0 1
3 0 0
3 0 1
0 1 3
1 2 1
2 3 1
3 1 1
0 2 3
10 9
3 0 2
2 3 1
1 1 0
2 4 0
2 3 3
0 0 4
2 3 2
3 2 0
3 0 4
0 1 0
10 4
0 3 0
1 3 0
3 2 0
3 0 2
0 1 3
2 3 3
3 1 1
2 1 2
2 2 0
0 2 3
10 5
3 2 0
0 4 0
1 1 0
4 1 0
2 2 3
2 0 3
2 3 0
3 4 1
3 1 3
4 0 2
10 7
3 3 2
0 0 0
2 3 2
3 0 3
0 1 2
1 3 0
3 3 3
3 0 1
1 2 2
2 2 2
10 5
0 4 3
0 3 1
4 4 3
4 0 0
3 2 4
4 0 4
2 1 3
1 3 2
4 3 0
1 0 2
10 9
3 3 1
1 2 4
5 1 0
2 4 2
5 0 2
1 1 1
4 5 2
0 5 2
1 3 2
3 1 4
10 3
1 1 2
0 2 1
1 2 1
1 1 1
2 0 2
1 2 2
0 1 0
0 0 0
0 2 0
1 0 1
10 8
2 1 0
0 2 1
1 1 1
0 0 0
2 0 2
0 1 0
1 1 2
0 0 1
1 2 2
0 2 2
10 6
5 3 2
3 5 1
0 4 0
4 5 3
2 3 0
3 3 0
4 4 2
3 1 3
5 1 1
3 2 2
10 5
0 2 4
3 1 3
0 2 1
2 0 3
5 3 2
0 0 0
0 0 1
5 2 4
4 4 0
0 5 4
10 8
2 3 2
2 1 4
1 4 3
1 1 0
0 5 2
0 4 0
4 3 4
1 4 2
2 4 1
5 2 3
10 8
0 4 4
1 2 1
2 2 2
4 5 2
5 3 5
4 3 0
0 5 3
1 0 1
1 2 0
0 0 4
10 8
0 2 3
1 4 0
4 4 4
1 0 2
0 4 0
3 0 0
2 2 3
4 2 4
3 3 3
0 1 0
10 7
2 3 2
2 0 2
1 2 3
0 3 1
0 0 3
1 3 1
0 3 3
0 0 0
2 0 3
0 1 2
10 6
0 3 0
1 0 3
1 4 1
5 3 3
2 0 0
4 3 5
5 3 2
4 2 2
1 2 2
2 3 2
10 2
3 0 4
1 3 1
2 3 4
3 0 2
2 1 3
3 0 1
2 3 2
4 2 4
4 1 4
3 1 3
10 8
1 2 1
3 1 3
2 2 2
1 1 2
1 4 1
3 0 4
0 3 0
4 4 1
3 1 1
1 1 4
10 3
0 1 2
0 0 1
1 0 1
1 0 0
1 2 0
2 2 2
0 0 2
0 1 1
0 2 2
0 1 0
10 7
3 3 3
0 3 3
2 4 1
0 0 3
4 0 0
0 0 1
1 0 3
0 4 3
3 1 0
1 1 0
10 2
1 0 1
0 2 2
2 0 2
2 1 1
1 1 2
1 0 0
2 1 2
0 1 2
1 2 1
1 1 1
10 4
5 4 5
0 0 4
2 3 3
1 4 4
4 1 3
2 2 4
2 0 5
5 1 4
0 2 4
4 2 1
10 7
1 1 2
4 3 1
3 2 1
4 4 4
3 1 3
3 3 4
2 2 1
1 1 1
4 1 0
2 3 1
10 9
5 5 1
4 4 3
4 1 5
1 5 2
0 2 1
2 2 1
4 2 5
5 3 3
0 0 1
1 1 0
10 3
5 3 3
3 2 2
4 1 3
0 1 0
1 2 1
4 3 1
3 0 5
2 0 1
0 0 5
1 4 5
10 6
2 3 3
2 0 0
0 0 0
2 2 1
1 1 2
3 0 2
2 1 0
0 1 0
2 3 1
3 1 1
10 3
1 1 1
1 0 0
3 1 1
1 3 2
0 3 2
1 2 3
2 0 0
1 0 1
2 1 2
1 1 2
10 6
5 1 5
5 4 2
1 1 4
0 2 5
0 4 1
3 4 0
0 5 5
0 0 1
3 5 5
3 5 2
10 4
5 2 5
0 5 5
0 5 1
1 0 5
3 0 0
4 5 1
5 4 0
5 3 5
0 4 2
1 3 0
10 8
3 0 3
3 2 0
2 0 3
0 2 2
5 5 5
3 1 5
0 0 4
1 0 1
2 5 0
0 5 4
10 5
2 2 2
0 2 3
1 0 3
2 1 0
0 1 0
3 3 2
1 3 3
2 3 2
0 3 0
2 2 0
10 8
2 1 0
3 2 2
3 1 3
3 3 1
3 3 3
1 0 1
1 0 2
1 1 0
1 3 3
3 2 0
10 8
0 2 0
1 3 1
1 3 3
1 0 2
2 0 2
0 0 3
2 3 3
1 1 3
1 1 0
3 3 0
10 4
1 2 0
1 2 1
2 0 0
2 1 2
1 2 2
0 2 2
1 0 2
2 0 1
0 1 2
2 0 2
10 9
0 0 0
1 2 1
2 0 1
1 2 0
0 0 1
1 1 0
1 1 2
0 2 0
1 1 1
2 1 1
10 6
3 3 2
2 4 2
1 1 0
2 1 2
3 3 3
0 4 0
0 0 3
2 4 3
4 2 2
1 0 0
10 8
0 3 2
2 0 1
2 3 0
1 2 3
2 3 3
2 1 3
1 1 2
1 3 3
3 3 2
1 0 1
10 5
4 4 1
2 3 3
0 5 2
1 3 2
1 2 2
5 5 5
1 3 0
3 5 0
1 0 2
2 1 2
10 4
3 3 0
3 0 1
3 0 0
3 2 3
1 0 3
0 0 3
0 3 2
2 3 0
0 3 0
2 0 3
10 6
0 1 0
2 1 2
0 4 0
1 2 2
1 3 4
3 0 2
3 2 2
1 3 2
0 2 4
3 1 4
10 7
1 0 2
0 2 2
3 0 2
2 1 0
2 1 2
1 0 1
2 2 3
3 3 2
3 2 3
3 1 3
10 7
0 2 1
2 1 4
0 4 3
0 4 1
1 2 1
0 2 2
1 0 3
0 4 4
1 3 1
2 0 0
10 9
1 2 0
2 1 2
0 2 0
1 2 2
0 2 1
0 1 1
1 1 1
1 0 0
2 1 0
0 0 1
10 8
3 0 3
4 1 2
4 3 3
2 0 3
4 3 0
1 4 3
1 4 4
0 1 3
0 4 0
2 4 0
10 3
1 1 0
3 1 0
4 0 2
3 2 0
5 2 4
4 1 0
1 4 4
4 5 1
3 2 2
5 4 1
10 9
3 0 0
3 3 0
0 1 0
3 2 0
2 0 3
3 1 0
2 3 1
0 3 0
1 2 1
0 3 3
10 8
1 1 2
0 1 1
1 0 2
2 2 2
2 2 1
2 1 0
2 1 2
1 2 0
0 0 2
1 0 0
10 2
3 4 0
4 1 3
4 4 0
2 2 3
0 3 3
2 0 0
2 1 2
0 1 4
4 2 4
4 3 4
10 4
3 4 0
0 0 0
0 4 5
2 2 2
1 2 0
0 1 5
0 0 5
5 5 1
3 4 3
5 0 3
10 8
4 1 3
2 2 4
2 5 3
1 0 3
5 4 1
4 5 1
4 2 1
0 1 2
3 5 3
0 1 5
10 7
2 2 3
2 4 2
1 4 0
1 0 5
1 3 2
5 2 2
5 3 1
0 2 4
0 0 2
0 4 3
10 2
1 2 0
1 4 5
5 0 2
5 1 1
0 1 4
5 1 3
4 1 4
0 2 5
0 4 5
1 4 1
10 6
0 0 3
0 2 3
2 3 0
4 3 0
2 0 3
2 1 3
4 4 1
3 1 2
1 2 2
0 0 0
10 3
0 3 3
0 1 3
0 0 3
1 4 3
1 2 4
3 3 4
0 4 1
2 3 1
4 1 3
4 0 4
10 5
1 1 2
2 1 2
2 2 1
1 2 1
2 2 0
0 0 0
0 0 2
1 0 1
0 2 1
1 0 0
10 9
2 1 0
2 0 0
0 1 2
0 2 2
1 3 2
3 3 0
1 2 4
3 2 0
3 3 1
4 4 3
10 5
4 1 1
0 3 4
3 3 3
2 4 3
3 0 2
3 4 3
2 0 3
1 2 1
4 3 3
4 4 0
10 6
4 4 1
4 3 3
0 1 2
1 0 3
4 2 0
4 4 0
2 2 4
4 1 0
2 0 2
0 0 4
10 7
0 2 0
0 1 2
0 1 1
0 0 1
2 2 1
1 2 2
1 2 0
1 1 0
1 0 0
1 0 2
10 3
1 0 1
1 2 4
3 2 1
2 0 3
3 4 0
0 4 2
3 3 2
2 1 2
4 2 1
1 4 3
10 3
0 2 3
2 3 2
3 1 0
0 0 1
2 2 1
3 2 2
3 2 0
0 1 2
0 1 1
3 0 1
10 2
3 5 5
1 4 5
5 5 4
2 5 2
3 1 2
4 4 4
4 3 2
5 4 3
4 5 4
3 3 1
10 5
0 3 4
0 1 4
2 3 0
2 1 3
3 2 0
3 2 3
3 0 3
2 1 2
2 4 2
4 2 1
10 2
1 0 3
1 0 1
2 1 0
0 1 3
1 1 1
2 3 2
2 2 0
2 2 3
0 2 3
1 3 3
10 2
2 1 2
0 0 1
1 1 0
0 2 0
0 2 1
2 2 0
1 1 1
2 0 0
0 1 1
1 2 1
10 5
1 2 1
1 2 2
1 0 2
0 1 1
2 3 0
2 0 3
0 0 0
3 0 0
0 2 0
1 3 0
10 7
3 1 2
1 0 4
1 2 1
3 0 1
4 3 2
2 2 2
1 0 0
3 3 1
4 4 3
1 1 1
10 9
2 4 3
0 0 2
4 3 2
2 1 3
2 1 1
1 3 0
4 4 0
1 3 2
3 4 0
0 2 2
10 5
2 3 0
0 3 2
1 3 3
3 0 0
2 0 3
0 1 3
3 2 3
1 1 3
3 2 1
0 1 0
10 7
3 3 1
0 2 1
0 1 0
2 1 3
3 2 2
1 3 0
3 0 1
2 2 1
0 3 1
1 3 2
10 7
3 3 3
3 2 3
3 0 0
1 0 1
1 3 2
3 3 0
0 2 2
0 0 2
1 3 1
1 3 0
10 6
1 1 0
0 3 2
3 0 2
4 3 1
2 0 0
3 0 3
4 2 2
3 2 4
0 4 3
3 4 1
10 4
0 1 1
1 0 2
2 2 1
1 1 0
1 0 1
2 1 2
2 0 1
0 2 2
1 2 0
0 2 0
10 8
0 2 2
3 1 5
0 3 4
0 4 3
0 5 0
3 5 3
4 1 5
0 1 0
2 4 5
0 3 1
10 5
0 3 2
3 2 2
1 1 2
0 2 1
2 3 2
3 3 3
1 1 1
0 1 2
0 3 1
0 3 0
10 5
5 2 5
2 5 0
3 4 3
4 3 5
5 3 3
5 5 2
2 5 1
1 5 5
3 1 0
5 4 3
10 8
1 0 1
1 1 0
1 2 0
0 2 0
2 1 0
1 0 2
0 0 1
1 1 2
2 0 1
0 1 1
10 3
2 1 1
0 2 2
1 1 0
2 3 0
1 3 2
2 2 1
2 1 2
0 1 1
2 3 3
0 2 1
10 3
4 1 1
1 4 3
3 2 0
4 2 0
4 4 1
3 1 2
3 3 1
2 1 4
3 4 1
4 4 2
10 2
0 0 1
3 1 0
3 2 2
0 3 3
0 2 0
1 3 1
2 0 2
2 3 0
2 1 1
0 1 3
10 3
2 3 2
5 3 0
4 4 0
1 1 4
3 3 5
2 5 5
5 5 4
1 5 1
1 2 2
1 2 0
10 9
0 2 2
0 1 1
2 2 2
0 0 1
2 0 1
1 0 0
0 2 0
1 1 2
2 0 0
1 2 1
10 9
2 1 2
1 0 1
0 2 1
1 1 1
2 1 0
1 2 0
2 2 0
0 0 2
2 0 2
2 1 1
10 7
3 2 1
2 3 3
1 3 1
2 2 1
2 2 3
2 1 2
2 0 2
0 0 3
0 2 0
2 1 0
10 3
3 2 0
2 1 1
2 2 0
3 1 2
2 3 2
0 1 1
1 2 0
2 2 1
0 0 2
1 1 3
10 5
1 2 0
0 0 0
1 2 1
2 1 2
0 2 1
0 1 0
0 1 2
0 0 1
2 1 1
1 0 1
10 5
2 2 2
1 0 2
1 1 2
0 0 1
2 0 2
0 1 1
0 0 2
1 0 1
1 0 0
1 1 0
10 8
2 1 0
0 1 1
2 0 0
1 3 2
0 3 1
3 2 0
2 1 2
2 2 0
3 2 1
1 2 3
10 6
2 0 2
0 0 1
0 1 1
0 0 0
0 1 0
1 0 1
0 2 1
2 0 1
1 1 0
0 0 2
10 4
5 3 0
0 5 5
5 1 2
3 1 3
4 3 0
5 5 3
2 3 0
5 0 4
4 3 1
5 5 1
10 9
1 2 2
1 2 0
1 1 1
2 2 2
0 1 1
0 2 1
1 0 2
1 0 0
1 1 2
0 2 0
10 4
2 1 2
0 2 2
1 1 2
0 1 0
2 1 0
1 1 0
0 1 1
1 2 2
2 0 0
2 0 1
10 4
1 2 1
4 5 1
5 3 0
4 0 5
5 5 4
3 5 5
0 5 4
5 0 3
5 4 3
5 0 4
10 5
0 1 3
2 2 1
0 2 2
1 2 3
2 0 2
1 3 1
2 2 3
1 3 3
0 3 0
1 0 3
10 9
1 2 0
2 2 0
1 0 1
0 1 0
2 0 0
1 1 0
2 2 2
0 1 1
0 2 2
2 0 2
10 4
3 3 1
1 3 0
3 4 0
4 1 4
0 2 4
0 4 1
2 1 3
0 1 4
0 1 0
1 4 2
10 7
5 5 0
1 5 1
3 2 2
1 4 0
0 1 5
4 2 4
4 0 0
0 0 2
5 5 4
1 5 2
10 3
2 2 4
2 2 2
3 4 3
1 1 4
2 2 0
4 3 3
1 0 0
1 1 3
4 2 1
4 0 1
10 9
3 2 3
3 1 2
1 2 0
2 2 2
0 3 1
0 0 3
3 3 1
1 2 1
1 1 0
3 2 2
10 5
4 4 0
2 0 1
0 2 5
5 0 2
2 1 0
4 3 1
2 3 2
3 4 0
1 0 0
0 0 0
10 9
0 1 1
0 0 0
2 2 1
0 2 2
2 2 2
1 1 0
0 2 0
1 1 2
0 1 2
0 0 1
10 8
3 1 1
3 0 2
3 2 0
1 2 2
3 3 0
0 0 2
1 2 1
1 2 0
2 1 1
0 0 0
10 3
1 4 5
2 4 3
2 5 0
1 2 5
4 3 2
2 1 2
1 5 2
5 0 3
1 4 1
3 0 2
10 9
4 0 1
3 3 3
0 4 5
3 0 5
2 0 4
1 5 1
2 4 5
1 5 4
2 0 0
0 3 3
10 7
4 3 4
0 4 1
1 4 2
4 1 2
4 4 2
2 4 2
1 4 4
1 1 0
2 3 4
0 3 1
10 9
1 1 2
1 3 1
0 2 3
2 2 2
1 3 0
2 1 0
3 3 2
1 0 0
3 1 0
2 3 0
10 3
1 1 2
0 1 0
1 2 0
1 1 1
2 0 2
0 0 1
0 2 0
2 1 0
2 0 1
1 0 2
10 7
3 1 4
0 3 0
4 0 2
1 0 1
1 3 2
0 3 3
4 3 1
3 2 3
2 4 4
1 3 1
10 3
0 2 0
0 0 0
3 3 0
2 1 2
2 1 1
0 2 3
0 1 1
1 1 1
2 1 0
3 3 1
10 3
3 0 3
1 0 1
0 2 1
2 3 2
0 0 3
2 3 3
1 2 1
2 2 3
1 0 3
3 1 1
10 7
0 1 0
3 2 1
0 3 1
2 1 0
2 3 1
3 1 0
2 0 4
3 1 2
3 4 4
1 4 4
10 5
2 3 1
5 0 4
5 4 2
5 1 1
2 4 4
2 3 5
5 4 3
3 1 1
2 0 4
5 3 5
10 2
0 1 0
0 2 0
2 0 1
1 0 0
0 0 2
2 1 2
0 0 1
1 1 2
1 2 2
2 1 0
10 6
2 5 2
4 3 2
4 0 2
5 0 0
1 4 0
1 1 2
3 5 5
3 0 4
3 5 2
3 3 2
10 8
3 1 2
4 1 4
4 5 3
1 4 1
0 5 3
3 4 2
1 3 1
1 5 1
3 2 1
4 2 1
10 9
2 2 0
0 1 2
0 2 0
0 2 1
1 0 2
1 2 2
1 1 2
0 0 1
2 0 0
1 1 1
10 6
0 3 1
1 2 3
2 1 3
3 1 3
4 2 2
1 3 4
3 0 3
1 3 3
1 1 1
4 3 2
10 6
1 0 1
1 2 1
1 2 0
2 1 1
1 0 2
2 2 1
1 1 2
0 0 0
2 1 0
2 0 2
10 4
4 0 0
3 4 4
0 0 1
4 1 1
2 0 1
3 3 4
0 1 2
1 1 4
3 2 4
4 3 1
10 7
1 1 1
2 2 3
0 3 2
0 3 1
2 1 2
3 0 2
2 3 2
3 0 0
0 3 0
3 2 2
10 4
5 3 4
2 2 4
2 3 4
0 3 1
1 5 4
2 1 0
3 0 3
1 2 2
2 2 5
0 5 5
10 8
4 3 0
5 3 3
1 3 5
3 4 5
2 0 2
4 3 4
0 1 0
1 2 0
4 2 2
0 1 5
10 3
4 1 0
0 3 1
1 3 3
4 1 3
4 3 1
2 1 3
4 3 4
4 4 0
2 2 3
4 4 3
10 9
5 3 1
2 1 4
0 4 1
2 4 1
1 5 2
0 2 5
2 2 4
3 5 1
0 0 3
2 0 1
10 6
4 2 2
1 1 3
2 4 1
4 3 2
4 0 3
0 3 0
3 4 4
3 1 3
0 4 4
3 3 4
10 2
4 2 3
3 3 3
0 4 1
3 0 2
4 0 2
0 2 2
1 3 4
0 4 4
4 4 4
2 4 3
10 7
4 2 1
1 0 3
2 0 1
0 4 4
4 2 4
1 0 0
0 0 3
3 3 2
0 2 3
4 2 3
10 9
0 2 4
2 0 2
4 4 3
2 0 4
4 0 0
4 3 2
3 0 3
3 3 0
4 1 3
2 2 2
10 3
0 0 2
2 2 2
0 2 1
1 2 0
1 1 0
0 1 0
2 0 1
1 2 2
1 0 1
2 0 2
10 6
5 5 2
3 5 3
1 1 3
3 0 0
2 2 1
5 5 4
3 2 3
4 1 2
3 4 5
3 3 5
10 3
1 2 2
3 4 0
2 4 3
3 2 0
4 1 4
3 0 3
0 3 1
0 4 0
1 3 4
3 1 3
10 6
1 2 1
2 1 2
1 1 2
2 0 2
2 1 1
2 2 1
0 0 0
2 0 0
2 2 0
1 1 0
10 8
4 0 0
4 1 3
1 1 2
2 0 4
1 4 0
1 0 4
1 3 0
1 3 2
1 2 0
0 1 1
10 3
2 2 0
4 4 0
3 2 3
2 2 5
4 2 3
3 4 1
1 3 0
3 5 0
0 5 5
0 4 0
10 3
1 3 0
3 3 0
1 4 3
0 4 3
4 2 2
2 4 0
3 4 2
4 0 1
0 3 1
3 0 1
10 4
1 1 0
1 3 1
2 2 0
3 1 2
3 3 3
3 2 0
1 2 2
0 0 3
2 3 2
2 1 0
10 4
3 2 2
3 0 2
2 0 2
3 1 3
0 1 0
0 0 2
3 0 0
2 0 1
1 3 2
1 3 0
10 6
3 1 1
4 2 5
0 5 2
1 2 0
2 2 5
1 4 1
3 3 3
3 4 3
0 0 4
3 4 4
10 9
1 5 0
1 4 2
0 3 2
2 0 0
1 4 5
1 5 5
5 3 5
2 2 3
3 2 5
1 3 2
10 4
3 5 1
3 5 2
1 2 4
4 5 1
4 2 0
3 5 5
3 1 1
1 5 1
2 2 2
4 2 3
10 2
4 2 4
4 0 1
2 3 4
0 1 3
2 3 3
4 1 2
0 0 1
3 0 3
3 2 2
2 0 0
10 2
4 5 0
3 3 2
3 1 1
0 5 3
4 3 3
2 2 2
0 0 4
1 5 0
4 4 2
1 4 0
10 4
2 0 0
0 2 2
0 1 1
1 1 2
1 0 2
0 2 0
2 2 2
0 0 2
2 1 0
0 0 1
10 6
3 0 0
2 3 0
0 0 3
1 0 2
1 0 3
2 0 3
3 2 2
1 1 2
3 0 1
0 0 2
10 9
0 2 1
2 0 2
2 1 2
1 0 1
2 2 1
0 0 0
2 0 1
0 2 0
2 1 0
0 1 0
10 7
2 0 1
2 0 2
1 2 0
0 2 0
2 1 2
0 0 0
2 1 0
1 0 2
0 2 2
1 0 0
10 4
2 0 1
2 0 2
0 0 0
3 2 3
0 3 0
2 1 0
1 1 2
0 1 2
2 3 3
2 2 2
10 4
4 1 4
2 2 2
2 0 4
4 0 3
2 3 3
0 3 4
4 1 2
0 4 1
0 1 2
2 1 3
10 7
3 1 1
2 2 0
2 0 0
1 1 1
2 2 3
3 2 3
0 0 1
2 0 1
2 1 3
1 2 1
10 2
3 2 0
3 3 3
3 3 2
1 1 1
3 1 2
1 2 2
1 2 0
1 1 3
2 2 1
0 0 1
10 7
1 0 0
5 2 0
0 4 4
3 3 2
2 0 4
4 1 2
5 3 1
3 1 2
2 2 3
5 5 0
10 3
2 3 4
0 1 1
2 1 4
3 1 2
3 0 3
4 4 2
1 4 2
3 0 4
4 3 0
1 3 3
10 4
0 2 0
2 1 0
1 0 1
3 0 3
3 1 3
0 1 3
3 2 2
3 3 1
2 2 1
2 3 0
10 7
1 1 0
0 0 2
2 0 1
2 0 0
2 1 1
2 0 2
0 0 0
0 2 1
1 0 0
0 2 0
10 7
1 5 2
2 4 3
1 2 2
2 3 4
5 2 4
2 3 0
0 2 0
4 3 1
3 1 3
3 3 5
10 3
3 0 3
3 0 1
0 2 2
2 2 3
2 2 0
2 3 3
2 1 3
2 2 2
1 0 1
1 3 1
10 9
0 1 1
2 3 1
3 3 0
0 2 0
1 3 2
2 3 2
1 1 2
1 1 3
1 3 1
3 3 2
10 8
5 2 5
2 5 3
3 3 5
2 5 2
0 3 0
4 5 3
4 3 0
1 4 5
5 2 4
1 0 0
10 3
1 1 3
1 2 2
0 3 0
3 0 2
1 0 1
0 0 0
1 1 1
0 0 2
0 2 3
2 2 0
10 9
1 3 2
1 1 0
1 1 2
3 0 1
0 2 3
2 1 1
1 3 0
3 0 0
1 3 3
3 2 3
10 6
0 2 1
1 0 2
1 2 1
0 2 0
2 1 0
0 1 2
0 1 0
0 0 0
2 2 2
0 0 1
10 9
1 0 2
0 3 1
2 2 3
0 1 2
1 1 0
0 2 0
1 0 3
1 2 3
2 0 1
3 1 2
10 3
5 5 3
5 4 5
4 3 1
0 2 4
4 0 3
5 5 2
2 5 4
4 3 2
2 0 1
4 0 1
10 5
5 1 5
1 3 4
3 3 4
0 4 5
5 2 2
0 1 2
2 5 1
5 2 5
2 1 0
2 2 2
10 5
3 3 1
2 3 1
0 0 0
0 3 3
2 4 2
0 2 2
0 2 0
4 1 4
1 3 1
2 1 4
10 6
5 5 1
3 4 5
2 4 2
0 2 0
2 4 0
4 1 4
2 3 1
3 1 4
4 3 4
5 5 3
10 7
5 4 0
4 1 5
2 3 0
2 3 5
4 1 0
4 0 3
2 0 4
2 2 4
3 2 4
4 1 3
10 8
0 1 1
0 0 2
2 2 0
1 2 2
1 1 1
1 2 0
0 1 2
1 2 1
2 0 0
2 1 1
10 8
1 1 0
2 0 0
0 0 2
1 0 2
2 1 2
2 2 1
1 1 1
0 1 2
0 2 0
1 2 0
10 4
1 1 1
1 0 0
1 1 0
2 1 1
2 0 0
2 2 2
1 0 1
0 2 1
1 2 2
0 1 2
10 8
5 0 1
2 5 0
5 1 4
2 2 4
2 2 2
5 3 5
4 1 4
4 2 0
5 1 2
1 4 1
10 2
2 0 2
1 1 0
3 2 3
3 0 0
1 0 0
0 3 2
2 3 2
0 0 0
1 3 0
3 0 2
10 7
1 5 0
5 2 5
2 2 5
1 3 0
5 3 5
5 5 3
3 4 2
0 2 2
4 0 3
2 2 4
10 2
0 1 1
0 3 0
0 0 1
3 0 2
1 0 4
1 1 1
2 2 4
3 4 0
1 0 1
3 1 0
10 3
4 1 5
0 5 1
2 3 1
2 4 4
5 4 4
3 5 0
1 2 1
2 0 2
2 3 3
5 3 5
10 3
0 4 1
3 4 0
2 3 2
3 3 3
4 3 0
1 1 2
1 4 2
2 0 4
3 4 3
1 4 0
10 4
3 3 2
2 1 1
2 2 3
4 1 2
1 0 0
0 4 1
2 1 4
3 4 4
1 3 1
1 3 4
10 4
3 0 3
0 4 2
1 5 0
2 2 0
5 0 2
2 1 3
4 1 4
2 5 1
1 4 0
0 1 4
10 8
1 1 0
2 2 2
1 2 2
0 2 2
2 1 1
1 2 1
0 2 1
2 0 1
2 1 0
1 1 2
10 2
4 3 4
0 2 5
2 5 2
0 3 0
0 3 5
3 5 0
1 3 1
4 2 2
2 1 4
2 1 1
10 6
0 4 0
0 0 1
1 4 3
2 4 0
0 1 0
3 4 4
3 0 0
1 2 4
1 2 3
4 3 1
10 3
0 1 0
2 0 0
0 2 1
0 0 0
2 1 2
1 1 0
1 0 1
1 0 2
0 0 1
2 2 0
10 4
2 2 1
1 2 4
4 2 2
1 1 2
3 0 0
1 4 0
2 4 4
4 1 2
1 0 1
4 3 1
10 3
1 1 3
3 0 3
1 0 0
1 3 0
1 1 1
3 1 2
1 0 2
2 0 1
3 0 2
3 2 2
10 7
1 3 3
2 0 0
1 0 3
4 2 4
0 4 0
3 3 0
3 0 2
0 2 3
2 1 2
0 3 0
10 6
2 0 3
3 2 1
1 1 1
1 0 0
3 3 0
0 2 2
1 3 1
2 3 1
2 3 2
1 3 3
10 7
2 5 3
5 5 3
0 0 2
3 0 5
1 0 4
5 5 2
4 4 3
5 2 3
2 2 1
4 2 0
10 5
2 4 0
5 5 0
4 4 3
5 3 0
3 5 3
5 0 5
2 4 1
2 5 4
2 2 2
2 3 5
10 5
0 0 0
1 0 1
4 2 1
3 4 3
3 3 0
4 0 0
2 3 2
3 2 2
0 0 1
1 0 3
10 7
4 1 5
4 3 5
4 2 1
2 1 2
5 3 5
2 3 3
2 3 2
3 3 2
0 2 1
2 0 2
10 9
0 1 3
0 3 3
1 1 3
3 3 0
2 3 0
2 1 2
0 0 2
0 3 1
1 1 0
2 0 1
10 5
2 2 0
2 2 2
0 2 3
1 3 2
2 3 0
1 0 3
0 3 2
0 2 1
2 0 0
1 2 2
10 7
3 1 1
2 2 1
0 0 1
1 0 1
2 0 0
1 3 1
3 0 0
0 1 3
0 1 0
3 1 3
10 8
1 1 0
2 0 3
1 2 2
2 0 2
2 1 0
2 3 0
1 3 3
2 0 1
3 0 1
2 2 1
10 6
2 1 1
1 0 1
0 1 0
0 0 1
1 2 0
2 1 2
0 2 0
0 1 2
1 0 2
0 0 0
10 4
5 4 4
2 3 4
4 4 3
0 3 5
2 4 1
5 5 1
5 3 2
5 3 1
0 1 5
3 1 5
10 7
0 1 1
3 3 2
3 0 2
2 3 1
0 3 1
0 3 3
0 2 1
1 2 2
1 0 3
0 3 2
10 4
2 2 1
1 3 3
0 1 0
3 2 0
2 1 3
1 1 0
2 0 3
3 3 2
0 0 3
2 2 2
10 6
4 3 0
4 0 0
1 3 0
1 4 2
3 4 0
4 1 1
4 0 1
2 2 2
0 1 2
2 4 0
10 7
3 0 2
1 3 3
0 0 0
3 3 1
3 0 1
1 3 1
0 0 1
2 1 2
1 2 2
2 2 0
10 4
1 2 0
1 1 2
2 1 2
0 0 1
0 0 0
0 2 2
1 0 2
2 0 1
2 2 2
2 1 1
10 5
0 2 0
1 0 0
0 2 1
2 0 2
0 0 0
0 1 0
0 1 2
1 2 0
2 1 0
0 0 1
10 9
2 2 1
2 4 0
2 2 4
2 2 2
0 4 2
1 4 0
4 4 3
2 1 0
1 2 1
4 1 2
10 9
0 1 3
1 1 2
1 2 0
2 3 3
3 3 2
0 3 0
1 0 2
3 3 3
0 0 0
1 3 3
10 3
1 0 1
1 2 0
0 2 0
1 0 0
2 0 1
2 2 0
0 1 0
2 0 2
2 1 2
0 2 2
10 8
3 3 3
2 2 5
1 5 4
0 2 2
4 0 5
0 4 3
2 2 2
3 2 5
4 4 5
4 5 2
10 2
1 0 0
1 2 0
0 2 2
2 2 1
2 0 0
1 2 2
0 2 1
0 1 1
2 1 2
1 0 2
10 9
1 2 0
2 1 1
2 0 0
1 2 2
0 0 2
1 1 0
1 0 0
0 2 2
2 2 0
2 2 1
10 7
5 0 3
3 3 2
2 5 2
3 0 2
3 4 4
4 0 1
4 1 3
5 1 0
2 5 3
2 4 3
10 5
0 1 2
2 3 3
1 5 5
4 1 5
2 3 2
5 2 1
0 5 3
4 5 0
0 5 0
5 2 0
10 6
0 2 0
0 0 1
2 2 1
1 2 0
0 2 1
2 2 0
2 1 2
2 0 0
2 0 1
1 0 2
10 5
2 3 3
0 1 3
1 0 0
2 3 1
2 1 3
2 2 0
0 3 3
3 2 2
3 3 3
1 1 2
10 9
3 0 3
0 3 0
0 3 1
2 3 3
3 3 1
0 2 2
2 0 0
2 2 1
3 1 2
0 0 2
10 8
1 0 0
4 0 0
1 2 1
0 3 4
0 3 3
2 3 4
3 3 3
4 2 4
0 4 1
3 1 1
10 5
2 1 1
1 1 1
1 0 0
0 2 2
1 1 2
0 0 2
2 2 0
0 1 0
1 2 2
0 0 1
10 5
1 0 0
1 0 1
1 1 1
1 0 2
0 0 1
1 1 0
2 1 0
0 2 1
0 0 0
1 1 2
10 6
0 4 3
4 0 2
4 2 2
1 2 1
0 3 0
2 3 4
3 2 5
0 2 4
0 2 5
3 1 0
10 8
4 0 3
0 4 1
2 3 1
2 4 2
0 2 4
3 0 1
4 2 4
2 2 1
4 4 3
0 0 3
10 9
4 2 2
0 4 4
2 2 4
1 2 4
0 2 2
4 2 1
1 3 0
2 1 2
1 3 2
1 0 3
10 7
2 0 1
5 1 2
0 0 4
0 3 3
3 4 0
5 4 0
0 1 0
0 1 3
1 0 0
1 3 0
10 8
1 2 2
0 2 2
0 2 0
1 1 1
1 0 2
2 1 1
1 0 0
0 1 0
2 0 1
1 0 1
10 3
3 4 4
2 2 2
4 3 3
2 3 4
0 2 3
2 3 2
1 2 3
1 4 1
4 0 2
3 3 3
10 7
1 3 3
2 0 3
0 2 1
0 2 0
3 3 3
3 2 3
2 1 3
2 3 1
0 3 3
1 2 0
10 9
4 1 1
2 0 2
1 4 3
0 4 2
3 1 1
4 0 1
0 3 0
4 0 3
4 0 4
0 0 1
10 2
0 2 2
3 3 0
0 1 2
4 1 0
2 0 2
3 2 1
4 4 2
1 2 2
3 2 3
3 2 4
10 4
2 0 3
1 0 0
3 2 4
2 2 4
2 0 0
0 3 2
4 4 4
1 0 2
1 0 3
3 0 1
10 2
0 2 0
1 2 0
0 2 2
0 1 0
1 2 1
1 1 0
0 1 1
0 2 1
0 1 2
1 2 2
10 7
4 3 2
4 1 2
2 4 4
1 5 2
3 0 3
2 4 2
5 3 1
0 3 3
3 4 5
2 4 1
10 2
2 3 1
0 4 0
0 0 0
4 0 2
0 1 4
4 2 1
4 4 4
1 0 0
1 0 4
0 3 2
10 2
1 1 4
1 2 1
3 0 4
1 1 0
4 4 4
2 1 1
4 4 3
3 4 1
3 2 0
1 3 4
10 3
2 3 5
1 4 2
1 3 0
3 5 1
1 2 2
4 2 5
2 2 0
3 0 2
0 4 1
2 1 3
10 7
4 4 0
2 2 4
2 4 3
2 2 0
0 3 2
0 4 4
4 2 2
1 0 0
0 1 1
1 1 3
10 6
2 3 1
2 2 3
0 3 3
2 0 1
3 1 0
2 3 2
3 0 2
1 3 3
3 3 3
0 1 1
10 6
4 0 4
2 4 3
5 4 0
4 1 2
1 0 3
1 2 5
2 4 4
2 0 0
5 5 4
5 0 5
10 7
3 1 1
1 1 2
3 0 1
1 3 1
2 0 2
2 3 2
0 2 3
3 1 3
2 2 1
3 1 0
10 8
4 2 4
0 0 1
0 4 2
3 2 2
4 4 4
2 4 3
4 3 3
4 2 3
2 2 3
2 1 0
10 3
1 0 3
3 3 2
0 2 4
3 4 1
3 1 2
4 1 0
4 3 2
4 3 3
3 2 4
3 4 4
10 3
0 5 5
1 2 0
2 1 4
0 2 3
1 1 4
2 5 0
4 0 2
0 2 1
2 3 5
5 4 1
10 9
0 3 3
5 4 0
2 5 0
1 2 0
1 1 2
3 4 1
3 1 2
0 4 2
4 5 1
3 0 2
10 7
4 5 2
5 4 3
1 0 4
1 5 0
4 0 4
3 2 1
0 3 3
2 5 1
1 0 1
3 5 4
10 5
2 3 1
2 4 0
3 1 3
3 0 4
3 0 0
4 1 0
2 1 4
2 1 1
3 2 2
1 2 4
10 9
2 2 0
1 1 0
0 2 0
1 1 1
0 1 1
1 0 2
2 1 1
1 2 2
0 0 0
0 0 2
10 4
2 5 4
5 1 3
2 5 3
1 1 4
1 2 3
2 3 4
5 2 2
1 5 3
5 1 4
4 0 0
10 6
1 0 0
2 0 2
1 2 2
1 1 1
2 0 0
1 0 1
2 2 1
2 2 0
1 2 1
1 2 0
10 2
1 1 2
2 0 1
1 2 0
0 2 1
0 0 0
2 0 2
2 1 2
1 1 1
2 2 1
0 1 1
10 8
0 0 0
5 3 1
2 0 0
2 4 0
3 5 3
5 2 0
2 1 3
3 0 3
1 5 0
0 4 4
10 2
1 2 0
2 0 0
1 3 0
3 3 4
5 1 0
2 1 0
4 5 4
5 2 3
5 5 2
4 1 5
10 5
1 2 1
1 2 2
0 0 0
0 2 1
2 0 2
1 1 1
1 0 2
2 2 1
0 2 2
0 0 2
10 4
1 1 3
5 5 3
4 2 4
5 0 5
2 5 4
0 0 4
5 4 1
1 5 0
3 3 5
4 3 4
10 8
3 2 1
4 3 5
5 3 0
5 0 2
2 0 2
1 4 5
1 5 3
2 0 1
5 2 0
3 1 4
10 5
0 0 2
3 2 3
3 3 1
0 1 1
1 1 3
1 0 2
0 3 1
0 2 1
1 0 1
1 2 2
10 7
0 2 2
4 0 2
1 1 1
0 0 1
4 1 1
0 2 4
2 0 3
4 1 3
4 0 0
1 4 2
10 5
3 3 3
0 3 0
3 2 3
1 1 1
1 3 3
0 1 2
2 0 0
0 1 3
3 0 0
0 1 1
10 3
5 1 4
3 0 3
4 4 1
4 0 4
2 4 2
3 1 1
3 1 2
4 3 5
2 0 5
5 4 2
10 2
2 1 1
3 0 2
2 1 0
1 2 3
3 2 1
3 1 2
2 3 0
1 2 1
3 1 0
2 2 0
10 8
2 1 1
0 3 1
1 4 1
1 4 3
2 2 4
4 4 2
0 0 2
2 3 2
4 4 0
1 0 2
10 3
0 1 2
2 2 1
2 1 1
2 0 2
0 0 2
2 2 2
1 1 1
1 2 0
1 2 2
0 1 0
10 3
2 1 1
1 1 2
1 2 2
1 2 1
0 0 1
2 0 1
0 2 1
0 0 0
1 0 0
2 2 0
10 6
0 0 0
1 3 3
4 0 3
3 3 0
2 4 1
1 0 4
0 1 3
2 2 2
0 3 4
3 2 1
10 5
2 2 0
2 1 1
0 1 0
1 1 0
2 2 1
2 1 0
0 0 2
0 0 0
2 0 1
2 2 2
10 8
5 3 3
1 3 4
4 0 3
5 4 0
2 2 1
3 3 2
3 5 4
5 5 4
5 4 2
3 5 0
10 2
0 4 3
0 4 2
2 4 3
3 4 4
3 5 5
5 2 5
1 1 0
5 0 1
5 2 2
1 2 2
10 8
5 2 4
5 3 5
2 4 2
0 1 0
1 5 1
3 0 5
2 4 0
5 2 0
4 2 3
4 0 1
10 7
1 0 1
3 3 2
1 3 1
0 1 2
2 2 1
1 2 0
2 0 2
1 1 0
0 0 3
1 3 3
10 3
4 4 4
3 2 4
1 3 0
0 2 2
2 3 0
1 3 2
3 0 2
1 3 3
0 3 0
0 1 2
10 6
1 2 0
0 3 2
3 1 3
3 1 1
2 1 1
0 1 3
2 1 0
3 2 1
0 0 2
1 2 2
10 2
3 0 4
4 4 4
0 0 3
3 0 0
4 2 3
0 2 1
4 2 2
4 3 2
1 3 3
4 1 3
10 6
3 2 1
2 2 3
0 1 3
1 0 2
1 1 2
0 3 0
2 0 3
1 2 0
0 3 3
1 2 1
10 2
5 2 1
2 4 5
5 5 5
4 1 3
1 0 3
3 5 1
1 1 0
3 5 5
5 5 0
5 1 2
10 9
3 1 3
1 1 2
3 1 2
2 1 0
2 0 2
2 0 1
2 1 3
0 2 0
3 0 2
3 3 2
10 5
0 4 5
4 3 3
5 4 0
2 2 4
4 0 0
5 2 5
5 2 2
3 5 3
4 4 2
5 4 4
10 9
0 3 1
4 3 3
4 0 0
4 0 1
2 4 3
3 3 3
0 1 3
0 2 1
2 0 0
3 3 4
10 6
4 3 1
4 0 0
0 2 4
3 4 2
0 3 2
0 0 0
3 0 1
3 4 1
3 0 2
3 2 4
10 7
2 2 2
2 1 0
0 1 1
0 2 2
2 0 0
1 2 2
2 1 1
1 1 1
2 0 1
0 0 1
10 2
3 0 1
1 1 1
2 1 1
3 2 0
2 3 2
3 3 0
1 3 0
2 0 0
0 2 2
0 0 2
10 4
2 4 3
0 0 0
4 1 2
4 4 0
4 4 3
2 0 0
1 3 1
3 3 2
4 0 4
1 2 1
10 5
2 0 2
2 1 1
0 0 1
0 0 2
1 0 1
1 1 2
1 2 1
2 2 1
1 2 0
0 2 1
10 3
2 0 1
1 0 2
2 1 0
2 0 0
1 0 1
2 2 0
0 2 1
0 0 1
2 0 2
1 1 2
10 2
0 5 2
5 4 2
5 0 0
2 1 0
0 0 3
3 0 1
1 4 3
1 0 5
4 4 2
1 5 1
10 2
1 0 1
2 1 2
0 1 2
1 0 0
0 0 1
0 1 0
2 0 2
1 1 2
0 0 0
0 2 1
10 3
4 0 4
3 3 5
4 4 4
5 3 4
4 2 5
5 3 2
4 1 5
4 4 1
2 0 4
2 2 4
10 9
1 2 1
2 0 0
0 2 3
2 3 0
0 1 2
2 2 0
2 1 3
3 0 0
0 0 2
1 3 2
10 4
1 1 0
0 0 0
2 1 2
1 2 1
1 1 2
1 1 1
0 2 1
2 1 0
1 0 2
2 0 1
10 6
3 4 1
3 1 0
3 1 3
4 0 0
3 2 1
0 2 0
3 4 3
2 0 3
2 1 0
1 2 0
10 6
1 1 2
3 2 3
5 0 0
1 1 0
0 3 0
2 2 4
1 0 0
5 4 3
1 3 5
0 5 0
10 6
1 0 0
0 1 1
2 2 0
1 2 2
2 2 1
0 2 2
0 0 0
1 1 2
2 0 2
0 1 0
10 2
4 4 2
3 5 1
4 1 1
5 3 0
3 0 1
3 4 4
5 3 3
5 0 0
1 4 4
1 5 4
10 5
2 2 0
0 1 1
1 1 1
1 0 1
2 1 2
1 0 2
2 2 1
0 2 0
2 1 1
0 0 1
10 2
3 1 5
0 1 1
2 4 2
5 2 4
0 3 2
4 3 2
1 4 0
2 3 0
0 5 1
2 1 4
10 3
1 3 4
3 3 1
5 3 1
0 2 1
3 4 3
2 2 4
2 0 3
1 2 5
1 1 5
0 5 2
10 4
1 1 1
0 2 1
0 2 0
0 1 0
2 1 0
1 2 2
2 0 1
0 1 1
0 2 2
0 0 2
10 3
4 5 2
3 0 1
3 2 4
1 0 0
0 5 4
1 5 5
0 1 3
5 1 0
5 4 1
2 4 0
10 8
5 3 5
5 4 5
4 0 4
3 2 3
4 3 1
0 3 4
5 5 2
2 4 3
5 4 1
2 2 3
10 8
4 0 0
1 0 4
3 0 0
2 4 4
2 0 0
0 0 1
3 0 4
3 3 0
4 2 1
3 2 4
10 3
1 4 0
1 1 0
3 4 4
4 0 2
0 3 2
4 2 1
0 2 4
3 2 3
3 1 2
3 3 2
10 5
2 0 3
1 4 4
3 1 4
2 2 2
2 4 2
0 1 3
3 2 2
1 3 3
4 2 3
3 3 1
10 8
4 3 3
0 2 4
2 2 0
4 0 3
1 1 3
2 1 1
4 4 3
1 3 2
3 2 2
0 4 1
10 9
2 1 0
1 0 0
0 0 1
0 2 0
1 2 0
2 0 2
0 2 1
0 0 0
2 1 1
2 2 0
10 9
3 2 2
0 0 3
3 0 1
0 3 1
2 0 1
2 3 1
2 1 2
0 2 1
0 2 2
3 3 0
10 9
1 2 1
1 1 2
2 0 1
2 0 2
2 2 0
0 1 2
0 0 2
0 1 0
0 0 1
1 1 0
10 8
4 5 0
1 2 5
5 0 4
0 3 4
0 4 1
0 1 1
2 1 5
2 0 1
2 3 3
0 2 4
10 6
0 0 1
2 3 3
2 1 0
0 0 2
3 3 1
2 1 1
0 2 1
0 1 2
0 0 3
1 2 3
10 4
0 1 2
2 0 2
0 0 2
1 0 0
1 1 1
0 2 0
0 0 0
2 1 2
0 2 1
1 2 1
10 6
3 0 3
1 0 2
0 1 1
2 3 1
2 1 1
1 3 0
1 2 2
1 0 3
0 1 3
2 1 3
10 9
3 1 4
3 1 3
2 1 0
3 2 1
3 2 3
4 1 3
4 3 2
1 2 3
3 4 1
1 4 3
10 5
3 0 0
4 3 5
0 3 4
1 3 4
2 3 1
0 5 0
5 0 0
4 4 0
2 5 3
5 3 0
10 4
5 1 2
0 5 5
4 2 4
2 5 3
4 2 3
3 3 1
3 2 1
4 4 0
3 5 1
2 2 2
10 4
3 0 2
0 0 1
3 2 3
2 3 1
0 2 3
3 3 2
3 0 0
0 2 0
1 1 1
3 1 1
10 3
3 3 3
2 2 3
1 3 0
1 1 3
2 1 2
0 1 1
1 1 0
2 2 2
0 2 1
1 0 0
10 3
4 2 1
2 5 0
0 0 3
1 0 5
4 1 0
1 0 1
1 3 0
0 2 3
0 1 4
3 1 1
10 6
0 0 2
2 2 0
3 1 2
3 0 1
3 0 2
1 3 1
2 1 1
1 2 3
0 3 0
1 0 1
10 2
0 1 1
1 0 1
2 0 1
0 2 2
0 1 0
0 0 0
2 1 1
1 2 2
1 2 0
2 2 2
10 2
0 1 0
2 1 2
4 4 0
1 0 0
5 3 3
2 2 3
1 0 1
4 3 4
5 5 0
5 2 2
10 3
2 0 0
2 2 1
1 1 2
0 0 0
0 2 2
1 1 1
2 1 1
2 2 0
1 2 0
1 0 1
10 8
1 0 2
0 0 2
2 0 2
1 1 0
1 2 0
0 2 2
2 2 0
1 2 2
1 1 2
2 0 0
10 3
0 2 1
1 2 0
1 1 2
0 2 0
0 1 1
0 2 2
0 1 2
2 0 1
2 0 0
1 1 0
10 6
3 4 4
1 2 3
1 3 3
0 3 2
2 3 0
1 1 1
0 3 4
4 4 2
3 2 4
4 1 4
10 8
1 1 2
1 5 0
4 3 4
3 4 2
1 3 4
2 5 0
4 5 0
5 3 1
0 4 5
1 5 1
10 8
4 4 2
3 0 0
4 4 3
3 2 2
0 2 3
0 0 4
1 3 1
3 1 3
1 4 2
1 3 2
10 6
1 1 4
3 4 3
3 0 3
3 0 2
4 3 0
1 4 0
4 2 0
1 4 3
1 1 1
3 3 1
10 9
4 5 3
0 2 4
1 4 2
2 5 5
2 1 2
4 1 4
5 0 3
3 4 4
2 4 2
0 1 2
10 9
3 4 4
3 0 0
5 1 1
1 1 1
4 0 1
5 2 3
5 3 2
3 5 3
1 1 3
2 0 1
10 2
0 0 0
2 1 0
0 1 0
2 1 2
0 1 2
0 2 0
0 1 1
2 2 1
1 2 0
2 1 1
10 2
2 1 2
1 2 2
1 1 1
0 0 0
1 0 2
2 2 2
2 0 0
1 1 0
1 0 0
0 1 1
10 7
3 2 4
5 4 5
0 2 0
3 4 0
3 3 3
3 2 1
4 3 4
4 0 4
5 1 3
0 5 4
10 8
5 3 1
0 4 1
5 1 3
5 4 2
5 1 5
1 0 2
0 1 4
2 4 3
0 0 4
1 4 4
10 6
2 0 0
2 2 3
2 1 1
3 2 2
1 0 2
0 3 2
0 1 1
3 0 1
1 3 2
2 2 0
10 8
0 3 4
3 4 0
1 1 1
2 5 2
5 0 3
1 1 3
5 5 4
1 2 0
0 3 1
1 3 3
10 9
0 1 1
1 1 1
2 2 1
1 2 0
2 1 2
2 2 2
2 0 1
1 2 1
0 2 2
2 1 0
10 6
2 0 1
1 0 3
0 1 0
2 2 3
1 0 0
0 0 2
0 3 2
0 2 1
1 2 3
3 2 3
10 8
3 0 2
3 2 0
0 3 0
3 1 2
1 1 0
0 3 1
0 2 1
2 3 3
3 1 3
1 1 2
10 7
2 1 1
2 0 2
1 0 5
4 0 3
3 1 5
1 5 2
0 2 2
1 4 1
1 1 1
0 3 0
10 8
0 0 3
0 2 2
1 0 1
2 1 0
3 2 3
2 0 1
1 0 2
2 1 3
0 1 1
0 0 2
10 4
2 2 4
1 0 2
4 4 3
0 4 0
3 0 4
0 0 2
3 0 2
1 3 0
4 1 0
3 0 0
10 9
0 0 2
1 0 1
0 1 1
1 2 2
2 2 0
1 1 2
2 0 0
0 1 0
2 1 0
2 0 1
10 3
0 4 3
0 3 2
2 3 1
5 0 3
5 2 2
2 2 2
4 3 3
5 0 2
1 5 2
0 1 1
10 8
0 2 2
2 0 0
2 1 2
0 0 0
0 2 0
1 2 2
2 0 1
0 0 2
0 1 2
2 2 2
10 9
3 1 1
1 1 3
0 2 1
3 0 2
0 0 3
1 3 3
0 3 2
0 3 0
0 0 0
1 1 0
10 2
2 1 2
1 0 1
2 1 1
1 2 1
0 1 1
0 1 2
1 1 1
0 2 2
2 0 1
1 0 0
10 2
3 3 4
0 1 2
0 3 2
2 4 3
1 1 2
0 4 4
0 2 4
2 2 4
4 3 3
2 3 4
10 5
3 3 0
0 3 0
0 1 3
4 3 2
1 1 1
1 0 1
1 3 2
3 2 1
4 4 0
0 0 4
10 5
2 0 0
2 1 3
2 2 0
1 2 0
2 2 2
2 0 2
0 1 0
3 1 0
2 1 0
1 0 2
10 8
0 1 2
4 0 4
0 0 3
1 2 2
4 3 4
0 3 0
2 1 2
1 0 2
0 0 1
1 1 2
10 2
2 2 1
3 3 1
2 1 0
1 2 2
1 0 3
0 1 3
1 1 3
0 1 2
3 2 3
0 3 2
10 8
0 2 0
1 4 1
0 0 3
1 1 1
3 4 1
1 2 3
4 4 3
3 0 2
2 3 2
4 3 0
10 4
2 0 2
0 1 1
0 2 2
0 1 0
2 2 0
1 2 0
0 2 1
1 1 1
2 2 2
0 2 0
10 3
5 1 2
1 4 3
1 3 0
4 4 5
3 0 1
2 2 3
2 1 5
0 2 4
2 1 1
1 2 1
10 6
2 1 1
0 0 0
2 0 2
1 2 2
2 0 0
0 2 2
1 1 0
1 0 1
1 1 2
0 1 0
10 4
3 3 1
2 2 2
0 1 0
2 0 1
3 0 0
3 1 3
1 1 1
0 1 3
1 1 3
2 3 3
10 7
2 1 3
3 4 4
4 0 1
1 2 1
3 0 0
3 1 3
0 3 4
1 0 4
4 3 0
3 1 0
10 2
0 1 2
3 1 2
0 1 0
0 3 2
2 1 2
0 2 1
3 3 0
0 0 3
1 3 0
1 1 2
10 2
1 1 2
3 1 2
0 3 2
3 3 2
3 0 3
3 0 2
2 2 2
0 2 0
2 2 0
0 3 3
10 6
0 3 2
2 2 1
3 1 3
3 3 3
0 2 1
0 1 2
0 2 3
2 3 1
0 0 3
3 3 2
10 7
1 2 3
2 2 3
3 4 0
4 5 5
4 5 3
0 0 0
0 3 5
1 3 0
5 4 2
3 4 3
10 4
2 2 1
0 0 2
0 0 0
2 0 1
0 2 0
1 1 0
2 1 0
2 1 1
0 1 2
1 2 1
10 6
3 1 3
3 2 0
3 1 2
3 0 1
2 2 3
2 2 1
1 0 3
3 1 1
2 0 2
0 0 1
10 5
4 0 3
1 3 0
4 3 4
3 2 4
0 5 5
4 4 3
1 5 1
3 0 1
1 3 1
3 4 0
10 2
4 1 1
0 1 2
3 0 5
5 5 1
2 3 1
1 1 0
2 0 5
4 1 2
1 0 4
3 4 1
10 5
1 0 1
2 0 2
2 2 0
0 1 1
0 2 0
0 2 1
1 1 2
1 2 2
2 1 1
1 2 0
10 7
0 0 2
2 0 0
0 2 2
0 1 0
1 0 1
1 1 0
1 2 1
1 1 1
1 2 2
2 2 0
10 8
1 3 2
3 1 1
0 3 1
0 2 2
1 0 0
0 1 2
1 2 2
0 2 1
1 3 3
2 3 0
10 4
2 0 2
0 1 0
1 2 1
0 0 2
0 2 1
1 0 1
0 0 0
1 0 2
0 1 2
1 1 0
10 8
0 0 2
2 0 1
1 0 1
1 0 0
2 0 0
0 1 1
2 1 1
2 2 2
2 2 1
2 1 2
10 5
2 1 4
4 0 3
4 3 1
0 0 2
4 3 4
1 0 3
3 1 3
2 3 3
1 2 3
3 2 2
10 5
2 5 1
4 5 4
4 5 3
1 4 3
5 0 5
1 1 1
1 4 0
0 0 3
5 5 1
2 4 4
10 8
0 3 4
0 4 2
4 0 4
3 0 4
1 4 3
3 4 3
0 1 4
3 1 0
2 2 1
3 3 1
10 7
2 1 1
3 3 3
2 1 2
2 0 0
1 3 0
1 0 1
2 2 2
2 2 0
1 3 3
0 3 1
10 6
0 0 1
3 2 3
2 1 0
2 2 1
1 3 3
2 1 1
1 3 2
0 1 0
1 1 3
3 1 0
10 8
2 1 1
1 0 2
4 4 4
3 4 4
1 2 1
1 0 4
0 1 1
3 0 3
3 0 2
4 4 2
10 5
3 3 3
0 2 2
0 1 0
2 1 3
0 0 2
0 3 1
0 2 0
2 1 0
3 2 3
1 2 1
10 4
0 3 0
3 1 3
1 3 1
1 1 2
2 2 3
0 1 1
1 2 3
0 1 0
3 2 2
1 0 0
10 6
2 1 0
2 2 2
1 2 0
2 0 1
0 2 0
1 0 1
0 1 2
0 0 0
0 2 2
0 0 1
10 5
1 0 2
0 1 0
1 0 0
2 2 1
0 0 0
0 1 2
0 0 1
1 2 2
2 1 0
2 0 2
10 7
0 2 2
2 1 1
1 1 0
1 0 1
0 2 0
0 0 0
0 2 1
2 2 0
0 1 2
2 0 1
10 6
1 2 0
0 0 0
0 1 0
2 2 2
2 1 2
2 2 1
2 0 1
2 2 0
1 0 1
1 2 1
10 9
2 1 2
3 1 1
0 3 1
3 1 3
3 1 0
1 0 3
1 2 0
0 2 1
1 0 0
4 4 3
10 3
1 3 1
0 0 1
1 0 3
2 2 0
0 3 2
1 0 0
0 2 1
2 0 0
1 3 2
2 1 0
10 8
3 0 1
2 0 3
2 3 2
2 2 4
0 4 3
4 1 4
4 4 4
3 0 4
1 1 4
0 3 3
10 6
1 1 4
1 1 2
3 2 0
5 2 2
4 2 4
3 1 0
4 3 1
1 2 4
0 1 3
0 2 2
10 3
0 5 2
3 5 0
2 1 4
3 3 2
4 1 4
2 2 1
2 1 5
0 1 2
1 5 5
5 1 1
10 3
3 1 4
1 1 1
4 0 3
0 0 2
4 1 2
3 1 2
1 3 0
1 0 3
0 4 1
0 0 3
10 3
1 2 2
4 2 5
0 5 5
2 1 4
4 3 3
0 0 2
0 5 2
0 1 0
5 5 2
3 0 2
10 4
5 0 2
0 4 2
2 0 1
2 0 5
4 2 5
1 3 3
5 0 5
0 4 1
2 5 1
5 4 1
10 2
2 4 3
2 3 0
0 4 1
4 3 4
3 1 1
4 0 1
3 0 2
1 2 0
1 4 4
2 4 1
10 3
2 0 0
1 2 2
2 0 1
2 1 2
2 2 2
1 1 0
0 1 0
0 2 1
2 1 1
2 2 0
10 8
4 0 3
4 3 1
3 2 1
5 3 2
3 3 2
5 2 4
1 0 1
5 1 0
4 4 0
5 2 2
10 5
4 4 4
3 2 0
1 0 5
2 3 0
2 1 4
3 3 2
3 0 4
4 1 4
3 2 3
0 5 5
10 9
1 0 2
0 2 2
1 2 0
2 2 2
3 3 3
3 2 1
3 2 0
0 0 3
2 1 2
3 1 3
10 3
0 2 3
0 1 1
0 2 1
0 0 2
3 1 2
1 2 0
1 0 0
2 2 1
0 1 3
2 3 3
10 2
4 5 4
0 3 3
4 4 3
2 5 4
4 4 5
3 2 0
5 3 3
4 3 4
1 1 0
4 3 0
10 7
3 5 2
5 2 1
0 2 0
1 4 3
3 4 4
0 5 0
4 5 0
1 5 0
0 3 0
1 1 3
10 6
1 0 0
0 0 1
2 1 2
1 2 1
1 2 0
0 2 1
2 0 2
0 2 2
2 2 2
2 1 1
10 5
2 4 0
2 2 4
0 1 1
2 3 1
4 4 3
1 3 1
1 4 0
4 0 4
1 0 1
2 2 1
10 3
1 3 2
1 2 0
1 4 4
3 4 2
4 1 4
0 0 3
4 1 1
4 4 3
3 0 3
1 0 1
10 3
3 0 2
1 0 3
0 3 2
1 0 0
3 0 0
1 1 2
3 0 3
0 3 1
1 0 2
0 0 2
10 5
3 2 1
1 3 2
3 1 1
0 3 1
2 1 0
2 0 1
1 3 0
2 3 1
1 0 3
0 1 1
10 9
1 2 1
0 0 2
2 0 1
2 1 0
0 0 1
2 0 2
1 2 0
0 2 1
0 1 1
1 2 2
10 3
0 0 2
4 3 1
2 1 0
4 0 1
2 1 4
0 0 3
3 4 1
4 2 0
0 4 2
4 4 2
10 7
0 1 2
1 1 2
2 2 2
1 2 2
2 1 0
0 0 2
2 2 1
1 2 1
0 0 1
1 2 0
10 5
2 1 2
1 1 0
0 2 1
1 2 0
1 0 2
0 1 1
0 2 2
1 2 1
0 0 2
0 0 0
10 8
2 2 0
2 3 0
1 3 3
3 0 0
0 1 2
3 0 3
1 1 0
2 2 1
1 2 0
0 0 2
10 3
2 3 2
0 0 1
0 2 3
0 3 3
1 0 2
1 2 2
0 3 1
2 2 1
3 1 1
0 0 2
10 2
2 5 4
0 4 2
1 3 1
4 0 4
5 0 3
1 2 3
4 4 0
2 2 1
1 4 3
5 0 1
10 2
0 1 0
0 0 1
1 1 0
2 0 2
1 2 2
0 2 1
0 2 2
1 2 0
2 2 0
0 1 2
10 8
0 2 5
4 2 1
3 1 3
5 2 1
3 0 2
0 0 3
2 5 4
5 0 1
2 3 5
1 2 3
10 6
0 2 4
0 3 5
2 2 3
5 2 4
1 1 2
4 5 4
4 5 3
2 4 5
3 1 1
2 3 3
10 4
1 0 0
1 1 0
1 1 2
2 0 2
0 2 1
1 2 0
2 0 1
2 2 1
0 2 2
0 1 2
10 7
3 0 3
1 3 3
3 2 3
2 2 0
3 2 2
0 0 3
1 1 3
2 0 0
1 3 2
1 0 0
10 9
0 1 1
0 0 0
2 0 1
0 2 1
1 2 0
2 1 0
0 0 1
0 0 2
1 0 1
0 2 0
10 4
1 0 1
1 2 1
0 1 2
0 0 2
0 1 0
2 1 1
0 1 1
2 2 1
1 1 2
2 1 0
10 4
5 5 1
2 1 2
4 1 2
5 3 5
2 0 2
0 1 4
5 5 4
1 5 3
1 0 2
0 1 0
10 9
0 2 1
1 0 2
2 3 1
3 1 0
1 1 1
2 0 0
2 1 3
0 0 0
0 1 1
0 0 1
10 7
0 2 4
2 2 3
0 5 4
3 0 1
5 5 4
2 5 4
4 5 4
2 3 4
0 4 3
1 5 3
10 8
1 2 3
3 2 0
0 1 1
0 3 3
3 2 1
3 0 3
3 0 1
0 0 1
1 1 1
0 3 0
10 6
2 0 2
1 1 2
2 0 1
0 0 0
0 2 0
1 1 0
2 0 0
1 2 2
2 2 0
1 2 0
10 7
4 3 2
2 1 4
4 2 3
0 2 3
0 4 1
0 1 4
2 2 2
3 2 3
1 2 4
0 1 2
10 9
2 1 0
0 1 2
1 1 0
0 1 0
2 2 0
0 1 1
1 2 1
0 2 1
0 2 2
0 2 0
10 6
2 1 1
0 2 0
1 2 2
0 1 1
2 1 0
0 2 2
2 0 0
2 2 1
2 2 0
0 0 2
10 3
1 0 1
0 2 1
1 1 2
1 2 0
0 0 1
0 0 2
1 2 2
0 2 0
0 1 0
0 0 0
10 8
4 2 4
2 2 4
4 0 0
5 3 3
1 4 4
5 0 0
3 5 3
5 5 2
5 0 5
0 1 1
10 5
3 0 3
3 1 3
2 0 1
2 3 2
0 2 2
2 2 0
3 4 1
3 0 1
2 1 0
0 2 3
10 6
0 4 1
0 0 5
2 1 4
5 1 2
2 2 2
5 5 2
1 5 4
2 5 1
2 4 0
2 2 0
10 2
2 5 1
2 2 1
1 1 4
5 2 3
2 1 2
1 4 0
4 3 4
2 4 1
2 1 1
0 2 1
10 5
1 2 0
1 0 0
1 2 3
1 3 2
3 2 3
1 0 3
1 3 3
3 3 2
0 0 0
3 0 1
10 9
0 4 0
4 0 4
0 1 3
2 1 4
0 2 3
3 4 3
4 3 1
2 3 1
1 1 0
1 2 4
10 5
2 0 0
5 1 1
3 4 1
5 5 4
5 4 4
3 4 0
3 5 5
0 2 3
5 0 3
1 5 3
10 8
1 0 5
5 1 1
0 1 0
1 2 0
4 1 3
3 3 5
0 5 0
1 2 4
5 0 0
0 4 4
10 5
0 0 2
1 0 2
2 0 0
1 2 0
0 2 1
2 0 2
2 0 1
1 0 1
2 2 0
1 2 2
10 4
0 2 2
1 0 2
1 1 2
2 0 0
2 1 1
1 2 0
0 1 0
2 0 2
2 1 2
1 1 1
10 8
3 3 2
1 1 2
3 5 0
5 5 0
3 2 3
2 5 5
2 1 5
3 5 3
5 3 0
4 1 4
10 2
4 0 2
3 2 3
3 1 4
1 4 0
3 3 3
0 3 0
2 2 3
2 0 3
1 2 4
1 2 1
10 7
3 0 0
3 1 1
3 2 4
3 3 2
4 4 4
3 0 2
0 4 0
0 0 0
4 4 2
3 0 3
10 7
0 0 0
2 1 1
2 2 2
2 0 0
2 0 1
2 2 0
2 1 2
1 2 1
0 1 0
0 0 2
10 6
2 1 1
0 0 1
3 1 1
3 2 0
2 0 1
2 1 2
1 2 3
0 2 2
1 0 1
2 0 0
10 2
1 2 0
1 0 0
2 2 2
0 0 1
2 0 0
1 2 1
2 1 2
2 2 0
2 1 1
1 0 1
10 6
2 0 0
4 4 0
3 4 0
2 4 3
3 0 0
0 3 4
0 4 2
1 3 0
2 4 2
3 1 3
10 2
0 5 2
2 4 2
2 2 5
1 3 1
0 2 5
3 4 3
4 2 4
1 2 0
0 1 1
5 5 1
10 5
3 0 0
1 2 1
1 1 0
2 1 2
2 1 3
2 1 1
2 3 1
2 0 0
2 3 3
0 1 3
10 4
0 1 3
0 0 1
2 2 1
0 0 2
3 0 0
2 0 0
1 2 0
3 0 1
0 2 0
2 3 0
10 2
1 2 0
0 1 2
0 1 1
1 1 1
2 0 2
0 2 0
2 2 2
0 2 2
0 0 0
0 0 2
10 4
2 0 1
1 0 2
1 2 1
0 0 2
0 2 2
0 2 1
1 0 0
2 1 1
1 1 0
1 2 0
10 2
3 4 4
4 0 0
0 3 3
2 1 2
3 0 2
4 1 0
0 4 2
3 3 1
4 1 1
2 2 0
10 7
2 2 0
2 1 2
3 3 3
2 3 1
0 0 3
2 3 2
1 2 2
2 0 2
3 2 0
0 1 3
10 8
0 3 3
3 2 2
1 1 3
1 1 2
2 2 0
4 1 0
3 1 2
4 1 4
0 0 4
3 4 4
10 6
1 0 1
2 0 1
3 0 0
0 2 1
2 2 3
3 2 0
2 3 0
3 2 1
1 1 3
1 0 2
10 6
3 4 0
3 3 3
2 0 0
2 4 3
1 0 3
2 4 0
1 1 2
0 3 3
2 0 3
2 2 1
10 9
3 1 0
3 0 0
2 0 3
0 4 0
0 3 1
2 3 3
2 3 4
1 3 0
3 3 4
2 3 2
10 3
4 4 3
2 2 1
4 3 3
0 3 0
2 1 1
2 0 4
4 1 0
0 4 2
2 1 2
0 4 1
10 6
1 3 2
0 1 2
2 1 0
4 0 2
2 4 5
0 5 5
5 1 2
2 5 0
0 3 3
4 2 4
10 5
4 3 0
0 3 1
0 0 4
0 1 1
3 0 2
2 2 1
2 1 1
4 2 4
1 0 2
4 3 2
10 7
0 0 2
2 4 3
0 3 3
2 0 3
4 4 3
0 3 0
0 2 1
1 0 0
0 2 3
3 1 4
10 7
1 2 2
2 1 3
3 3 0
0 2 2
1 3 0
1 3 1
1 0 1
2 2 0
1 2 1
3 0 1
10 5
1 3 0
2 2 3
1 2 0
2 3 4
1 2 3
3 3 0
1 0 2
1 0 3
3 0 2
4 4 0
10 9
4 4 0
3 1 3
0 1 1
4 3 0
1 1 3
1 3 2
4 4 4
1 0 1
1 2 1
3 0 2
10 5
0 2 0
0 0 1
1 0 1
2 0 2
1 1 0
2 1 2
1 0 2
2 0 1
2 0 0
1 0 0
10 2
1 0 0
0 1 2
2 2 0
1 2 1
0 0 0
0 0 2
2 0 0
0 0 1
1 1 0
1 0 2
10 7
2 0 1
0 0 0
0 2 2
2 1 1
1 2 1
2 2 1
2 0 0
0 2 1
0 0 1
1 0 0
10 7
2 2 2
2 0 1
1 2 2
2 1 0
0 0 1
0 1 0
0 0 2
0 2 0
2 0 2
2 2 1
10 7
0 0 1
0 0 2
0 1 1
2 2 0
2 0 2
1 1 1
2 1 2
2 1 0
2 1 1
2 2 2
10 2
0 0 2
2 1 0
0 2 2
0 1 0
2 2 2
2 2 0
0 2 1
1 0 1
1 2 0
0 0 1
10 8
4 1 4
3 4 5
2 4 4
1 2 5
5 0 2
2 2 4
1 2 2
2 0 1
4 2 3
4 0 2
10 2
2 2 3
2 2 0
1 2 2
0 1 3
0 3 2
0 2 2
3 2 1
2 1 1
1 1 1
3 0 2
10 3
5 2 2
2 2 4
3 0 5
2 0 1
3 0 3
2 5 0
3 4 5
1 0 1
3 3 5
4 2 2
10 4
0 3 3
3 0 2
0 2 0
1 0 0
3 3 0
1 3 0
2 3 2
0 1 0
3 3 3
1 1 0
10 7
3 2 3
0 3 1
1 0 3
0 1 1
2 2 2
1 2 2
0 2 0
3 3 3
1 0 2
3 1 3
10 2
1 0 0
3 1 0
3 1 3
0 2 3
3 3 3
2 2 1
2 3 1
1 2 0
1 1 0
3 0 3
10 9
0 0 2
3 1 3
3 3 1
0 2 2
1 1 1
1 1 0
2 0 2
2 2 3
0 0 1
2 2 0
10 4
2 2 4
3 3 0
5 2 0
2 3 1
3 0 2
4 5 3
1 0 3
1 5 0
5 0 0
5 5 4
10 2
1 2 0
2 0 5
3 1 3
2 4 5
1 0 3
5 5 5
0 4 4
1 5 4
0 2 1
3 2 5
10 7
2 2 2
2 0 2
2 1 1
0 0 2
1 1 1
0 0 0
0 1 1
1 1 0
1 2 0
0 2 2
10 6
1 0 1
1 1 2
1 2 0
0 1 0
0 2 2
1 0 2
0 0 2
1 2 2
0 0 1
2 2 1
10 6
3 1 1
2 2 0
3 2 2
1 2 3
1 1 2
3 3 3
0 3 3
3 3 0
2 3 1
3 2 1
10 5
1 1 1
4 3 2
2 2 1
2 0 2
2 3 2
4 4 2
3 0 3
4 4 4
4 1 2
0 4 1
10 5
0 1 0
1 0 1
2 0 1
1 0 2
0 1 2
2 2 2
0 0 2
1 2 1
0 2 0
1 2 0
10 6
0 4 4
1 4 2
0 0 3
3 1 1
4 2 2
2 2 4
3 3 2
0 1 1
4 1 3
2 2 0
10 6
0 0 2
1 3 1
1 3 2
0 2 1
3 2 3
3 0 0
1 1 1
0 3 3
0 3 1
1 2 3
10 3
1 3 3
1 0 3
1 2 3
0 0 1
4 2 0
2 3 4
0 4 2
1 4 2
4 2 3
4 0 1
10 6
3 2 3
4 1 4
0 3 2
4 2 1
1 0 4
2 2 4
0 1 2
4 0 1
4 4 0
4 2 0
10 8
0 5 0
4 5 5
4 4 0
0 5 5
4 4 5
3 2 4
5 4 0
0 1 5
4 0 3
2 5 0
10 8
0 1 0
3 3 1
3 1 2
0 3 0
0 0 3
2 2 0
2 2 1
1 2 0
3 3 3
0 1 3
10 5
3 4 1
3 0 2
0 1 4
5 0 1
2 1 4
5 5 2
1 1 1
5 3 3
3 0 1
4 1 4
10 2
0 2 1
2 1 1
0 3 0
1 1 3
0 2 4
3 2 0
1 4 4
0 2 3
4 0 1
1 3 3
10 9
2 0 0
2 0 2
1 0 1
0 1 2
0 1 1
0 2 0
2 1 0
2 2 2
0 0 2
1 1 0
10 6
1 2 2
0 0 2
1 0 2
0 2 2
0 1 0
1 1 1
2 2 0
1 0 1
0 1 1
2 2 2
10 2
3 4 2
3 4 4
0 4 5
4 3 1
1 2 0
5 0 1
1 5 4
0 3 1
1 4 2
4 4 0
10 6
0 0 2
5 0 5
1 2 2
2 2 4
2 1 0
0 5 0
5 1 4
4 5 1
2 0 3
3 3 2
10 6
1 4 2
4 4 4
1 2 2
2 4 4
0 0 2
4 2 4
0 3 4
2 3 4
3 3 0
0 4 4
10 2
3 4 1
1 3 4
4 1 4
2 0 2
3 0 3
0 4 2
4 4 2
2 1 2
1 0 1
3 4 4
10 5
0 3 0
0 0 1
2 4 2
4 2 4
2 3 1
1 3 3
3 1 2
2 1 2
3 1 0
4 2 2
10 5
2 0 3
2 2 0
1 1 1
3 2 1
0 0 4
0 2 4
3 4 3
2 3 0
0 3 3
0 2 2
10 8
0 0 0
2 0 2
2 2 1
2 0 1
1 2 1
2 1 0
2 2 2
1 1 2
0 2 1
0 1 0
10 5
0 4 5
5 1 4
5 1 0
1 2 1
5 5 0
0 3 1
4 4 2
1 4 3
4 3 0
3 1 4
10 4
0 2 2
0 2 0
3 2 2
2 0 1
2 1 1
3 0 2
1 3 2
2 2 3
2 3 2
0 0 0
10 8
1 3 0
5 0 5
5 1 4
0 2 5
4 4 2
0 3 2
2 2 2
0 1 5
4 4 3
2 2 0
10 5
1 2 3
1 4 4
5 4 3
3 1 0
0 4 4
4 1 3
0 5 2
5 5 4
5 3 2
1 0 4
10 5
0 0 1
0 3 1
2 2 1
2 2 0
2 2 3
0 2 3
3 2 1
0 2 1
1 2 3
1 2 2
10 5
3 1 5
2 4 4
5 4 3
5 5 3
3 5 4
2 0 3
4 3 0
1 1 1
2 5 2
1 0 4
10 8
3 0 3
3 2 3
0 3 3
3 2 1
0 0 3
2 1 1
1 1 3
2 3 3
1 3 3
0 2 3
10 7
2 5 5
2 1 1
3 5 4
5 4 1
0 1 3
4 2 2
1 4 0
5 0 5
1 3 2
5 3 1
10 8
1 0 0
2 2 1
1 1 0
0 1 1
2 1 0
2 0 2
0 2 2
2 0 1
2 2 0
0 0 0
10 9
2 3 0
3 2 2
1 2 0
1 0 0
0 2 1
1 0 1
2 0 0
2 2 1
0 3 0
0 1 2
10 2
1 0 1
3 2 3
0 1 0
3 1 0
3 0 4
4 3 0
4 4 3
1 0 3
1 2 3
3 3 4
10 9
2 1 0
1 0 0
1 2 2
2 0 1
1 0 2
0 1 3
3 1 3
3 1 0
3 0 2
0 0 3
10 7
3 3 4
3 4 1
0 2 0
3 3 2
2 1 3
1 2 1
4 4 2
0 2 3
3 0 0
1 2 2
10 6
0 1 1
0 1 0
2 2 0
2 2 2
1 2 0
2 2 1
2 1 0
2 0 0
1 1 1
0 0 0
10 9
1 1 3
1 1 1
2 0 2
3 3 2
1 0 1
3 2 2
2 0 3
3 3 0
0 1 0
0 2 3
10 7
4 5 4
5 0 1
0 3 4
0 5 3
5 2 1
0 2 4
5 2 0
2 0 3
0 0 0
3 1 5
10 9
3 1 0
2 3 1
4 2 3
1 4 1
4 3 0
2 3 4
3 1 3
3 3 3
0 3 3
3 0 3
10 9
2 2 3
2 0 3
2 3 3
3 0 3
3 2 2
2 2 2
1 3 0
1 3 1
1 1 0
0 2 0
10 3
2 1 2
1 1 0
3 3 3
2 2 2
0 1 2
1 3 1
3 0 1
0 3 3
1 2 2
0 0 1
10 4
1 2 0
2 2 0
2 1 1
1 1 2
1 2 2
0 1 0
1 1 0
1 0 1
0 0 1
2 0 0
10 6
0 0 0
1 0 2
1 2 1
2 0 0
0 0 2
0 2 2
1 1 1
1 2 2
2 1 1
0 1 0
10 8
4 4 4
4 2 2
0 2 0
4 0 0
0 4 2
2 4 4
3 2 3
4 1 2
1 1 0
0 1 0
10 3
1 2 1
2 0 2
2 0 1
1 4 0
2 1 1
3 0 2
2 1 4
0 1 4
3 1 1
2 0 3
10 6
2 0 4
4 2 1
5 0 4
0 5 1
5 3 4
5 2 4
4 5 5
1 0 0
2 4 0
2 4 4
10 7
0 4 1
1 4 3
1 0 2
3 2 4
0 1 2
3 3 2
4 4 1
3 4 1
4 0 1
1 3 4
10 6
5 2 2
2 5 0
0 4 0
0 1 2
3 3 0
4 5 5
4 5 4
1 1 0
2 0 0
5 3 4
10 8
1 1 2
2 1 2
2 2 1
1 2 1
2 1 1
1 2 0
0 0 1
0 0 2
0 1 2
2 0 1
10 6
2 1 2
0 1 0
1 0 0
1 1 1
1 1 0
0 0 0
0 0 1
2 2 0
2 2 1
2 2 2
10 8
4 1 3
4 5 5
3 1 0
0 5 1
1 3 2
5 4 0
3 4 2
4 0 2
3 5 1
5 3 3
10 7
2 0 0
2 0 2
2 2 0
2 1 0
2 2 2
1 0 1
1 1 2
2 1 1
0 2 1
0 0 2
10 9
3 2 3
2 2 0
3 1 3
3 3 1
4 1 0
2 1 1
1 0 3
1 3 0
1 1 1
3 0 1
10 2
3 3 3
4 3 3
3 1 2
3 3 4
4 3 2
0 2 0
4 0 3
3 0 3
4 0 1
0 0 1
10 5
1 1 3
5 3 4
3 0 4
3 3 2
1 3 0
4 0 4
5 2 2
5 3 0
3 0 2
0 2 5
10 2
1 3 1
2 1 2
0 1 1
2 2 0
1 0 1
3 3 1
3 3 2
2 0 0
1 1 3
0 1 0
10 5
1 2 2
2 2 0
0 2 0
1 0 2
0 2 2
0 1 2
1 1 2
2 0 0
2 0 2
2 0 1
10 4
0 1 0
1 2 2
1 2 0
0 0 0
2 0 0
0 0 1
0 0 2
1 0 1
2 0 1
2 2 2
10 4
1 0 2
0 1 2
0 2 2
2 0 2
1 0 0
2 0 0
2 2 1
0 2 0
2 1 0
0 0 0
10 6
3 4 1
1 1 0
2 0 1
3 2 3
1 2 4
0 2 2
0 2 0
4 3 4
2 0 4
3 4 2
10 4
0 0 1
1 1 0
0 1 0
0 1 2
2 0 2
0 2 0
2 2 2
1 2 0
2 2 0
1 2 1
10 4
2 2 5
2 2 0
5 0 1
4 4 5
3 0 2
1 2 3
4 5 5
2 0 0
0 4 1
2 5 4
10 6
0 0 1
1 0 2
2 0 0
1 2 1
0 2 2
0 1 2
1 1 2
1 2 2
2 2 1
2 1 1
10 9
1 1 2
0 2 0
1 0 1
2 2 2
2 0 0
0 2 2
1 2 0
0 1 1
0 0 2
1 1 1
10 2
1 3 3
4 3 0
2 0 4
4 2 3
2 3 1
1 4 3
2 1 2
1 2 4
2 4 0
3 1 3
10 5
1 2 1
0 0 1
0 2 0
0 2 1
0 2 2
2 0 1
2 0 0
2 0 2
2 1 2
1 1 1
10 3
0 1 3
2 0 2
0 1 2
0 1 0
0 2 3
2 0 1
3 0 1
2 1 1
0 0 3
2 0 3
10 4
4 5 4
2 2 3
4 4 0
4 3 5
1 3 1
1 3 3
4 5 1
2 4 0
0 4 1
5 3 0
10 4
1 0 4
5 0 3
4 0 2
3 2 0
5 1 3
5 3 2
2 0 5
4 0 3
2 1 0
4 5 2
10 4
2 1 0
1 0 0
1 2 0
1 0 2
0 2 2
2 0 2
1 2 2
0 1 2
1 0 1
1 2 1
10 8
1 3 3
1 0 2
3 0 1
0 2 3
0 4 3
1 3 2
1 0 0
2 1 2
4 1 2
4 0 4
10 8
0 1 1
1 0 0
0 0 2
1 0 2
1 2 1
0 2 2
2 1 0
1 2 2
2 2 2
1 1 2
10 3
4 0 0
4 3 3
4 4 2
2 4 0
4 2 4
1 2 0
3 3 4
1 3 0
1 0 3
3 3 3
10 9
1 0 2
3 0 3
0 0 1
0 3 0
1 1 2
0 1 1
1 0 3
2 0 1
2 2 0
2 3 3
10 7
1 0 3
0 0 3
0 3 3
1 0 2
3 2 1
2 0 0
3 3 1
3 3 2
1 3 1
3 0 0
10 3
0 0 1
2 1 2
2 2 2
2 1 0
1 1 0
1 2 0
2 0 0
1 1 2
0 2 1
0 1 2
10 8
2 4 2
2 3 2
1 3 1
4 2 4
3 2 2
5 3 2
0 1 0
5 1 4
2 5 3
2 2 5
10 2
1 4 1
1 1 5
0 3 3
4 3 5
0 3 5
4 0 4
1 0 1
3 3 4
2 5 5
5 3 1
10 4
2 1 3
3 4 0
4 4 5
1 1 1
4 5 4
5 5 0
0 2 0
3 3 5
5 4 5
1 3 0
10 9
1 3 3
1 0 2
3 3 2
0 0 1
3 3 1
3 0 1
3 1 1
0 1 1
0 1 2
1 2 3
10 8
3 3 4
0 4 0
2 4 2
1 4 0
3 2 3
4 2 4
1 0 1
0 1 3
2 3 3
0 0 3
10 2
0 1 0
2 1 2
2 2 2
2 0 1
1 0 1
1 0 0
2 2 0
0 2 1
1 0 2
1 1 0
10 5
5 4 5
4 5 1
2 5 2
2 2 0
0 5 5
3 3 3
4 3 2
3 0 1
2 4 2
1 1 1
10 8
4 2 3
0 0 4
3 1 2
3 4 2
4 3 2
4 3 3
0 2 0
2 0 3
1 0 2
1 4 1
10 6
4 1 4
0 5 1
2 4 3
0 1 4
3 1 1
0 1 1
4 4 5
1 1 2
1 0 5
4 2 1
10 4
2 0 2
1 2 0
2 0 0
0 1 1
0 0 1
1 0 0
1 2 1
2 2 2
2 2 0
1 1 0
10 6
3 2 1
3 0 0
2 2 1
1 1 3
1 3 0
1 3 3
0 2 2
3 3 2
1 0 0
2 0 0
10 8
1 3 1
1 0 3
5 1 0
2 0 2
3 2 2
5 1 1
0 3 1
1 2 4
1 3 5
1 0 1
10 7
2 3 1
0 2 0
0 1 3
3 3 0
1 2 3
2 0 1
1 2 2
0 1 1
2 3 2
0 0 0
10 5
2 0 2
5 3 2
5 0 4
1 3 0
3 1 5
0 4 5
2 2 0
0 0 1
3 0 4
5 0 1
10 8
2 3 1
1 0 2
3 0 3
1 0 1
0 2 1
1 3 2
0 2 3
2 2 1
3 2 2
3 1 2
10 6
3 0 3
1 3 1
3 3 3
2 4 4
3 2 4
0 4 2
4 1 2
1 0 1
0 1 2
3 4 3
10 8
0 2 2
2 1 1
0 2 1
3 2 0
3 3 0
1 1 0
3 1 3
1 2 3
0 3 2
1 3 2
10 5
2 4 4
2 4 1
3 1 3
1 0 2
1 3 2
4 3 0
4 1 1
4 2 3
2 2 0
0 4 1
10 7
0 2 2
1 1 2
0 1 1
2 1 2
2 2 1
0 0 2
0 2 0
1 0 1
1 2 1
1 1 1
10 5
1 2 2
1 0 2
0 2 0
2 2 1
1 1 2
2 0 2
1 1 1
2 1 1
0 1 1
2 1 0
10 6
2 0 3
3 2 1
3 1 0
2 1 0
2 0 1
0 0 2
2 3 3
3 0 2
3 2 2
0 3 2
10 5
0 4 4
3 0 4
2 2 3
1 1 4
1 4 0
4 3 0
3 0 2
3 3 2
1 2 4
3 0 1
10 5
1 2 2
1 2 1
1 1 0
1 1 1
0 2 0
2 2 0
0 2 2
1 2 0
0 2 1
2 1 2
10 3
3 2 1
2 2 0
0 3 3
0 2 1
0 3 1
2 0 0
0 0 2
2 1 3
3 1 3
1 1 0
10 6
3 0 0
3 2 2
1 3 0
1 3 2
1 2 3
0 3 2
0 3 1
2 1 3
1 2 2
3 1 3
10 6
0 2 5
0 5 1
0 5 3
5 4 0
5 2 4
0 3 3
0 4 4
1 3 3
5 5 4
4 3 3
10 5
0 1 4
4 4 0
0 5 2
0 1 0
0 5 4
1 2 0
2 2 4
4 2 3
3 2 3
1 3 2
10 5
2 2 1
2 3 3
3 0 2
2 1 2
3 0 0
0 0 1
2 2 3
1 0 1
3 2 0
0 0 3
10 5
3 2 3
0 2 1
2 2 3
2 2 0
2 0 0
0 1 1
0 3 1
1 1 0
1 1 1
1 3 1
10 4
4 1 1
5 5 5
1 3 2
0 1 1
4 1 0
4 4 2
4 5 4
2 0 5
1 4 1
0 3 0
10 3
2 1 2
0 2 2
1 1 2
2 2 2
1 1 0
2 0 1
1 0 1
1 2 1
0 0 2
0 0 1
10 2
3 2 0
1 4 4
0 4 1
0 4 4
4 1 2
3 2 2
4 0 4
3 1 4
2 2 3
4 4 2
10 9
2 3 2
2 0 4
2 1 3
1 3 2
1 1 3
0 3 3
4 0 2
1 2 4
3 4 2
2 2 4
10 8
5 1 2
1 2 2
3 1 5
4 4 3
2 0 5
4 0 4
5 3 1
4 1 1
5 5 2
0 1 5
10 5
0 4 1
2 3 3
1 3 0
2 0 4
0 1 0
0 3 2
4 2 4
4 0 4
4 0 2
3 0 1
10 8
2 2 2
1 3 4
3 3 3
2 4 4
2 3 0
4 0 1
3 4 0
2 2 3
1 1 4
4 4 0
10 4
2 1 0
0 2 1
0 2 2
1 2 0
0 1 1
1 2 2
0 1 2
1 2 1
0 0 0
0 1 0
10 7
1 2 3
2 1 2
0 4 0
1 3 3
0 4 1
3 3 0
0 1 3
2 0 2
1 3 2
4 0 3
10 7
0 0 3
0 4 2
4 4 3
3 4 3
2 1 2
2 1 0
4 2 0
4 2 3
0 2 2
4 3 4
10 2
1 1 2
0 0 0
2 0 2
0 2 1
2 2 2
0 0 2
0 0 1
1 1 0
2 1 1
1 2 0
10 8
2 2 2
2 2 1
1 0 1
2 1 0
2 1 2
0 0 2
0 0 0
0 1 0
0 0 1
1 0 2
10 5
1 1 3
1 1 0
3 0 0
3 2 0
0 3 0
1 3 2
3 2 3
0 1 0
0 1 3
2 2 3
10 5
3 3 1
3 1 1
1 0 5
3 5 1
4 0 1
2 5 5
1 5 1
4 3 2
1 1 4
1 4 1
10 6
3 0 3
1 3 3
1 2 3
1 1 2
2 2 3
3 2 2
2 0 3
0 3 2
2 1 2
2 3 0
10 5
4 1 0
3 3 4
1 5 3
5 2 4
4 5 0
5 2 0
0 4 2
4 2 5
3 2 1
5 1 0
10 4
4 3 4
2 1 4
1 0 1
3 2 4
2 3 1
1 3 2
4 3 0
1 4 3
1 0 4
1 3 0
10 4
2 1 1
1 0 1
1 2 2
3 3 3
2 1 3
2 3 3
2 0 3
0 1 2
2 3 1
2 2 3
10 5
2 1 0
1 2 3
3 4 3
4 1 1
1 2 2
0 0 4
5 2 4
2 0 5
2 5 3
3 0 3
10 4
1 0 0
3 4 1
4 4 1
1 3 2
1 4 4
4 4 2
3 3 4
2 0 2
1 2 4
3 4 0
10 7
3 3 1
2 2 3
3 0 3
3 2 3
2 0 3
1 3 3
1 3 2
3 1 2
2 2 2
1 2 1
10 2
1 3 2
3 1 2
2 1 1
1 2 3
2 3 3
0 2 2
0 1 1
2 1 3
1 0 1
3 0 3
10 2
4 0 3
0 0 1
4 0 0
3 3 3
1 0 1
3 3 0
3 0 4
0 1 1
2 3 1
0 2 0
10 6
3 4 0
5 2 2
5 1 2
3 2 3
2 2 4
4 1 5
1 2 3
0 0 0
0 5 0
2 3 0
10 9
1 1 0
0 3 2
1 1 2
1 2 0
1 3 3
1 1 1
3 2 0
3 3 3
3 1 3
2 3 0
10 6
2 3 1
2 3 2
1 3 0
2 4 1
3 2 2
3 1 3
2 1 3
4 4 0
0 2 3
0 0 2
10 6
0 1 5
4 5 1
1 1 1
0 4 2
4 5 0
0 2 4
0 3 1
4 3 2
0 5 4
1 3 3
10 5
2 0 4
3 3 4
2 2 4
1 3 3
1 3 2
0 4 3
1 2 0
2 4 3
1 1 4
3 2 2
10 9
4 3 0
3 2 4
0 0 5
0 4 0
4 0 4
2 3 4
0 1 5
4 0 0
4 5 2
1 4 3
10 7
0 2 1
2 2 1
1 1 1
2 1 2
0 1 0
2 0 2
1 2 1
1 0 1
0 0 2
2 2 0
10 5
2 3 0
3 3 0
0 3 3
1 2 2
0 0 3
0 2 3
2 2 1
1 3 1
3 1 1
3 3 1
10 8
2 5 2
4 5 1
1 5 5
4 0 0
2 3 1
0 2 0
3 0 3
0 1 4
0 0 5
4 3 2
10 5
2 1 4
3 2 4
0 0 0
1 0 0
0 4 1
3 1 1
2 3 1
4 3 3
3 2 3
1 1 0
10 7
3 3 0
3 2 4
2 4 2
3 1 5
5 5 2
1 1 3
5 4 3
4 4 4
4 1 0
0 5 2
10 3
2 3 3
1 0 1
3 3 1
3 2 1
1 1 0
1 0 3
0 3 2
3 2 2
2 0 0
0 3 3
10 6
5 4 1
4 2 2
2 1 3
0 4 0
0 0 0
2 1 0
1 1 5
4 0 1
3 0 5
5 4 2
10 8
2 0 0
0 5 2
4 3 2
0 0 2
4 2 0
3 0 5
3 4 0
0 5 3
2 5 3
3 0 3
10 8
0 1 1
0 0 1
1 1 0
1 1 2
2 2 2
0 0 0
0 1 0
1 1 1
2 0 1
0 2 0
10 5
0 1 0
2 0 3
2 3 1
0 3 0
1 3 0
3 3 3
0 2 0
2 0 2
3 1 3
0 3 3
10 5
0 2 2
2 1 1
3 3 3
3 1 3
1 3 1
0 2 0
1 0 0
3 3 0
1 2 0
1 2 2
10 9
4 2 4
3 1 2
3 0 2
1 2 4
4 2 0
4 4 2
0 2 0
4 1 4
3 1 4
4 0 2
10 5
4 1 0
3 3 1
5 3 0
5 4 1
5 3 1
2 3 5
5 4 2
4 2 1
3 1 5
3 4 4
10 6
0 2 3
0 0 1
3 2 2
2 0 1
3 2 3
3 0 0
2 3 2
0 1 2
1 0 0
2 2 2
10 3
4 0 4
0 5 2
0 5 0
0 3 1
3 0 1
2 4 3
3 5 4
2 1 0
2 4 0
5 4 2
10 4
3 1 2
0 1 2
2 2 1
3 0 3
2 2 3
3 2 3
3 1 0
0 1 3
3 2 4
1 0 1
10 5
0 0 2
2 1 2
1 1 1
1 1 2
2 2 0
0 0 0
1 2 2
1 1 0
1 2 0
1 2 1
10 5
1 0 0
2 2 1
0 2 2
0 1 1
2 1 1
0 2 1
0 0 2
2 0 0
1 0 1
2 2 0
10 4
0 1 2
0 0 2
1 0 2
2 2 1
1 0 1
1 2 2
2 1 1
2 0 1
2 2 2
1 2 1
10 5
2 1 3
3 2 2
0 2 0
1 2 1
1 2 3
2 3 2
3 3 3
0 1 3
2 0 1
3 0 2
10 5
3 3 3
1 1 3
1 1 0
3 0 1
0 0 3
0 2 3
3 1 2
3 1 0
3 2 2
0 1 3
10 9
1 0 4
1 1 1
3 0 1
3 3 3
3 0 3
1 4 0
2 3 1
3 3 2
2 1 2
0 0 2
10 7
3 0 3
1 2 1
1 0 3
3 2 2
1 3 1
2 2 2
3 1 0
1 3 0
0 3 3
3 0 0
10 9
0 3 4
0 4 3
1 3 1
1 0 0
1 3 4
0 1 0
1 4 2
0 0 1
3 4 4
4 4 4
10 7
2 1 1
2 2 0
1 2 0
1 0 2
0 2 2
2 1 0
2 1 2
1 2 1
0 0 0
1 0 0
10 6
0 4 4
3 5 5
2 4 2
0 5 0
0 3 1
2 5 0
2 2 2
1 2 0
0 5 1
0 0 3
10 4
5 5 2
1 4 0
1 5 5
0 4 0
2 3 1
0 0 1
1 4 5
5 2 4
5 3 2
3 3 1
10 2
0 2 1
0 1 3
2 2 1
0 1 1
0 3 3
3 1 0
0 3 0
0 2 3
1 3 0
0 0 2
10 8
0 2 1
3 3 1
0 0 3
3 2 3
2 0 0
2 1 2
3 1 3
0 3 3
1 0 0
1 2 3
10 8
0 3 1
1 1 1
0 2 1
3 2 3
2 2 3
2 2 2
2 0 3
3 0 0
0 1 0
1 3 0
10 8
3 0 3
4 4 4
4 0 5
4 0 4
5 4 3
3 4 5
0 4 0
4 0 3
2 1 4
5 2 5
10 7
0 2 1
2 0 0
0 2 3
1 2 1
3 0 2
0 1 1
3 0 1
0 1 0
1 1 2
2 0 3
10 3
2 3 3
3 5 4
5 0 1
3 0 2
4 4 3
2 2 4
0 1 3
4 4 0
2 5 1
2 4 3
10 6
0 1 1
1 0 0
1 1 1
0 2 2
1 2 0
0 0 2
2 0 2
2 2 1
2 0 0
2 1 0
10 9
2 2 0
0 3 0
1 1 1
2 3 3
1 3 0
3 3 3
0 1 0
1 1 2
0 2 2
0 0 1
10 7
0 0 2
1 1 0
2 2 0
0 0 0
2 0 2
0 2 1
2 1 1
2 1 2
2 2 1
0 2 0
10 5
0 0 2
2 2 2
1 1 0
1 2 2
2 0 2
1 0 1
0 2 0
2 0 0
0 2 2
0 2 1
10 8
3 0 1
2 1 3
1 3 1
3 2 1
0 1 3
0 3 3
0 0 1
3 0 2
1 3 3
1 0 0
10 9
1 1 0
1 1 2
2 0 2
2 0 0
3 0 3
3 0 1
2 1 1
3 3 1
3 1 3
2 0 3
10 8
1 4 5
1 4 1
1 3 2
4 2 1
3 4 3
3 3 4
4 4 1
2 1 2
3 5 2
4 2 4
10 6
1 2 1
2 0 0
2 2 0
2 1 2
2 1 0
1 0 3
3 2 1
1 1 2
2 3 0
1 0 0
10 3
3 4 1
1 4 1
3 1 2
4 4 3
2 4 4
0 3 3
4 2 1
3 0 2
0 1 1
0 0 0
10 4
3 4 0
0 0 4
0 2 4
0 1 1
0 0 1
2 1 0
3 2 0
1 1 0
4 1 2
1 1 2
10 5
0 3 2
3 4 0
2 3 3
1 3 3
2 2 2
1 4 1
3 4 3
1 2 0
1 4 4
4 1 4
10 7
1 1 1
2 2 0
2 2 1
0 1 2
1 0 0
2 0 0
1 0 1
2 0 2
1 2 0
0 1 0
10 7
4 1 3
4 4 4
0 0 1
1 0 2
0 2 2
3 4 0
3 1 4
2 2 4
2 0 1
1 3 0
10 7
0 1 5
3 3 3
4 0 2
1 0 1
0 0 0
2 1 4
1 2 4
4 4 3
5 0 5
4 5 3
10 6
2 1 1
2 0 0
0 1 2
1 1 0
2 2 0
1 0 2
2 2 2
1 1 1
0 0 0
2 1 2
10 8
2 1 1
1 4 0
2 0 2
1 3 3
4 1 4
4 2 3
3 0 2
0 3 2
2 2 4
0 3 0
10 3
2 0 1
0 2 1
1 0 1
1 2 2
2 2 0
1 1 1
0 0 2
2 1 2
1 2 0
1 1 0
10 8
0 0 3
3 3 0
3 1 3
3 0 0
3 0 4
0 3 1
0 0 4
0 1 0
2 2 2
0 0 1
10 2
4 1 1
1 5 2
2 3 0
4 3 2
0 1 1
1 1 0
1 0 4
2 5 4
1 0 1
0 2 4
10 7
2 0 3
5 0 1
4 2 1
2 1 5
1 0 1
3 4 2
5 0 4
5 4 3
2 0 0
5 1 5
10 2
2 4 0
4 2 0
5 2 2
2 5 4
0 4 5
3 2 5
3 2 1
2 3 1
0 2 3
2 4 1
10 7
0 0 4
0 4 4
4 4 4
5 0 4
4 2 3
1 4 4
5 1 1
4 3 0
2 1 0
3 4 4
10 4
3 4 0
3 1 4
2 3 4
2 1 1
4 3 3
0 3 4
1 4 0
0 1 0
3 0 4
4 2 0
10 3
2 1 1
1 0 2
2 2 0
1 0 1
2 2 2
0 2 0
0 2 2
2 0 1
0 0 1
2 0 0
10 7
2 5 4
5 3 1
3 2 2
2 4 1
1 4 0
2 4 5
2 1 5
5 0 3
4 1 5
5 1 2
10 8
4 2 3
2 4 2
2 1 2
4 3 3
4 3 2
4 2 4
4 1 1
2 2 1
0 3 4
0 4 3
10 8
2 3 2
3 3 1
2 2 1
3 3 2
1 1 3
3 2 2
1 3 1
1 1 1
1 1 0
1 2 0
10 7
0 1 1
2 1 0
4 2 1
0 2 3
1 5 5
5 3 2
2 2 4
0 5 1
1 5 1
2 5 5
10 8
3 0 3
2 4 1
0 0 2
3 4 5
1 0 1
3 0 2
0 4 1
4 0 1
2 0 4
4 1 0
10 2
1 4 2
1 4 3
1 1 1
0 0 3
1 2 0
0 3 4
4 3 3
1 2 4
1 0 0
4 0 2
10 7
0 0 3
2 2 1
4 3 1
4 1 0
3 3 4
1 3 4
0 1 1
4 3 4
3 3 0
0 3 4
10 9
4 3 1
3 2 0
2 1 0
3 4 1
1 0 0
1 3 4
3 2 3
1 1 3
2 0 2
4 2 3
10 7
3 3 0
4 4 0
2 0 1
3 1 4
3 2 1
2 0 3
2 4 4
3 2 4
3 0 1
3 3 3
10 2
1 1 2
1 0 0
0 2 2
1 2 1
0 2 0
1 2 2
0 0 1
1 2 0
2 1 2
2 0 0
10 4
1 2 2
0 3 2
2 1 0
3 3 0
3 1 2
3 2 2
0 1 1
1 1 2
0 1 3
0 2 3
10 8
4 1 4
1 4 2
0 0 3
2 3 0
1 2 4
2 1 0
0 0 1
0 3 0
2 1 2
4 3 3
10 2
4 3 3
2 4 2
1 2 2
0 2 0
4 2 4
2 2 4
0 0 0
3 0 0
2 0 4
2 0 2
10 4
2 4 1
3 1 3
4 3 1
3 4 4
2 0 4
1 1 2
3 3 1
2 1 4
0 3 2
3 2 0
10 7
2 0 4
1 3 0
0 5 0
0 0 2
4 3 2
0 2 4
3 5 5
3 4 3
0 2 0
5 1 0
10 4
1 4 1
4 3 0
1 5 2
4 2 1
2 5 5
2 4 5
3 5 5
3 5 2
0 5 1
4 4 0
10 5
5 0 2
5 0 3
3 0 0
3 3 2
3 4 2
0 5 4
0 2 2
5 4 0
0 1 0
4 5 5
10 6
2 2 3
0 2 2
1 1 3
2 3 2
3 3 1
1 0 0
0 1 1
0 0 0
1 0 3
3 2 1
10 8
4 3 0
0 0 2
1 4 1
2 0 4
3 4 2
3 2 1
3 0 2
3 4 0
1 1 2
2 1 4
10 8
0 2 2
4 2 3
3 1 0
0 4 4
2 1 4
2 0 1
4 0 2
4 3 3
1 4 1
4 3 1
10 2
1 0 0
1 1 2
2 3 2
1 1 0
0 1 0
1 1 3
2 1 3
3 0 3
3 3 1
3 0 0
10 3
1 2 1
0 2 0
0 1 2
0 1 0
0 2 2
1 0 1
0 0 2
1 1 0
2 1 0
1 2 0
10 6
2 1 2
0 3 2
0 1 0
0 0 1
3 0 3
2 0 2
3 2 0
0 1 2
1 2 2
1 1 3
10 6
0 4 3
3 0 4
3 2 4
1 4 4
1 3 0
3 2 0
3 4 4
2 1 4
3 0 2
2 4 0
10 4
0 2 1
0 1 2
1 0 1
0 0 0
0 2 2
0 0 2
2 2 0
1 1 2
0 1 0
2 1 0
10 7
1 2 4
2 5 2
5 3 1
0 0 0
2 3 0
0 2 3
5 4 4
4 5 1
2 1 3
3 1 2
10 4
2 0 0
1 3 1
2 1 4
0 4 3
4 2 4
3 2 0
0 4 2
3 3 1
4 1 1
2 2 4
10 3
4 0 3
5 3 4
5 1 1
5 0 2
5 4 3
1 0 5
2 3 1
2 0 5
0 1 1
0 3 0
10 8
1 2 3
0 1 1
0 2 3
2 3 0
3 0 2
2 2 3
1 3 1
0 3 2
3 3 1
3 3 0
10 4
0 3 4
0 4 4
0 0 4
1 0 0
3 2 3
3 3 0
3 1 2
3 3 3
2 2 0
3 1 1
10 4
1 3 5
1 2 2
4 0 1
5 3 4
1 1 4
3 1 0
1 5 4
0 1 1
3 2 1
1 3 2
10 9
2 4 2
0 0 5
0 4 5
1 4 5
1 5 3
3 5 0
4 1 0
3 3 3
4 3 4
0 3 0
10 3
2 4 5
4 4 0
4 2 3
1 4 3
1 0 1
2 2 3
1 1 5
0 4 0
2 5 2
3 5 1
10 2
2 1 2
2 4 2
3 0 4
2 2 2
0 2 5
2 4 5
2 0 0
2 0 5
5 4 4
3 4 4
10 2
2 2 3
1 1 4
5 1 4
4 0 0
3 3 5
3 1 1
3 4 3
2 1 4
1 4 5
3 2 2
10 4
0 1 2
2 2 1
0 1 0
1 1 1
0 0 2
0 2 0
1 2 1
2 0 0
1 0 2
0 2 2
10 9
4 5 2
0 1 5
3 2 0
2 5 4
4 1 1
5 0 3
2 1 4
5 3 5
2 0 2
0 0 3
10 7
1 0 1
1 1 0
0 4 4
0 1 4
4 2 3
2 3 1
4 4 3
4 4 4
3 3 4
1 3 4
10 5
1 5 5
5 2 1
2 3 4
1 3 4
5 2 0
5 5 4
4 5 4
3 0 5
3 2 3
0 2 1
10 5
0 0 2
2 1 1
1 0 1
3 0 0
2 1 2
3 2 2
3 2 1
1 1 1
0 1 3
2 3 1
10 4
0 0 2
1 2 0
2 1 0
2 2 2
1 1 2
0 0 0
2 1 2
1 0 2
1 1 1
2 0 0
10 6
1 2 0
1 2 1
0 2 0
0 0 0
1 1 0
0 1 1
2 1 2
1 0 1
1 2 2
2 2 1
10 7
1 0 2
3 0 0
3 3 3
2 2 2
2 1 1
0 3 3
1 3 2
0 0 1
1 3 0
0 1 2
10 9
1 0 4
3 2 4
4 0 1
1 2 1
1 2 2
1 1 4
0 4 0
4 4 1
1 2 4
2 4 4
10 6
3 3 0
3 3 4
1 1 4
0 4 4
0 1 0
2 3 3
4 1 0
4 0 2
1 0 0
0 2 1
10 5
1 4 0
1 3 4
2 2 2
4 2 1
3 0 4
4 0 3
3 2 3
0 1 0
1 3 1
4 3 4
10 9
3 1 1
0 2 2
0 3 1
0 0 3
2 0 0
1 1 1
1 2 1
3 0 1
0 0 0
0 2 3
10 7
5 0 4
2 4 0
1 4 0
2 1 3
2 3 3
5 5 3
3 2 5
1 3 2
4 2 5
0 4 1
10 8
3 1 0
1 1 0
2 1 0
0 0 1
3 3 2
3 3 0
3 0 2
1 0 2
2 0 3
2 0 1
10 4
1 3 0
0 3 0
3 0 0
0 2 0
3 2 3
0 2 2
3 0 3
2 2 3
3 1 0
2 0 0
10 9
1 0 0
2 2 1
2 1 1
0 0 0
1 1 2
0 0 1
0 2 2
2 0 2
2 0 0
1 2 2
10 5
2 5 1
4 1 0
2 5 2
5 2 2
3 4 0
1 3 3
3 3 5
5 0 2
4 1 5
5 1 2
10 7
1 0 3
4 1 0
0 4 2
0 3 3
0 2 3
3 2 4
5 4 2
1 2 0
0 0 5
3 2 5
10 6
3 2 2
4 1 2
3 2 1
0 2 0
4 1 1
2 2 3
3 1 1
3 1 4
2 2 4
1 1 1
10 9
1 0 1
2 3 2
4 2 2
0 1 4
1 4 3
0 3 0
2 3 1
3 0 3
0 2 3
3 3 2
10 7
4 3 3
4 0 4
2 2 0
5 4 5
2 3 3
2 3 1
2 5 2
5 5 0
0 4 2
5 0 0
10 9
3 3 0
4 4 3
3 1 0
3 1 4
1 0 0
2 2 4
4 1 4
0 4 1
4 0 4
3 2 1
10 5
0 2 0
0 0 2
1 0 1
1 0 0
2 2 0
1 1 1
2 2 1
2 2 2
1 2 1
0 0 0
10 4
0 1 0
5 4 3
1 0 2
2 3 0
4 1 0
2 0 0
4 0 3
5 0 4
5 1 1
3 5 3
10 8
3 2 3
2 3 3
3 2 0
2 1 3
2 1 0
0 3 2
2 0 1
0 2 1
1 3 3
1 1 2
10 5
3 1 2
2 0 1
3 0 2
3 3 3
1 1 2
0 3 0
1 0 0
0 0 3
3 0 0
2 1 2
10 6
0 2 0
1 1 2
2 2 0
2 2 2
2 1 2
1 1 0
0 2 1
1 0 0
2 0 0
1 2 2
10 5
1 3 4
4 0 4
0 1 2
2 4 4
1 1 4
0 2 3
0 1 0
0 3 3
4 0 3
4 1 4
10 9
2 0 3
2 2 0
3 0 0
2 2 3
0 3 2
1 3 0
1 0 3
0 2 1
2 1 3
3 2 2
10 9
2 4 5
5 2 0
0 3 0
2 4 4
4 2 3
5 5 0
1 4 0
1 0 0
5 0 1
2 2 1
10 7
1 1 3
0 2 2
0 2 1
0 2 0
1 3 3
2 3 3
0 3 2
1 1 2
0 0 3
0 1 3
10 2
3 3 2
2 1 4
1 0 1
2 0 4
0 1 2
1 3 4
3 2 4
4 3 0
1 1 2
1 4 2
10 5
5 5 3
5 2 5
1 4 1
3 4 5
5 0 2
4 3 0
1 2 1
2 0 5
2 4 3
1 4 0
10 4
1 0 0
1 0 2
1 2 0
0 2 2
2 2 1
0 1 2
0 1 1
2 1 2
0 1 0
0 0 2
10 5
1 1 4
1 3 0
4 4 4
4 4 0
2 2 1
4 2 1
3 4 4
1 2 2
3 3 0
1 4 2
10 8
1 2 2
2 1 1
1 1 2
0 2 1
1 0 1
0 0 1
2 2 1
0 1 0
2 0 1
2 0 0
10 9
4 4 0
1 1 1
4 4 1
1 0 2
1 2 0
2 3 1
1 3 0
2 0 3
4 0 0
4 3 4
10 6
2 1 0
1 1 0
2 0 0
0 1 1
0 2 2
0 1 0
2 1 1
2 2 0
1 2 2
1 2 0
10 9
0 2 2
1 1 2
2 0 1
1 0 2
2 2 0
0 1 2
1 2 2
2 0 0
0 2 1
2 2 1
10 5
0 2 2
1 2 2
2 0 2
0 0 0
2 2 1
1 0 0
1 1 1
1 1 2
2 2 0
2 1 0
10 9
4 0 2
2 0 3
5 3 0
0 1 2
1 0 5
1 3 0
1 2 1
5 0 1
4 1 0
0 3 0
10 7
3 0 2
1 1 3
0 1 0
1 0 4
0 1 3
0 1 1
2 3 2
0 3 2
3 0 0
2 2 2
10 8
3 3 0
3 0 4
0 4 3
1 2 0
3 2 0
0 1 3
3 3 3
2 4 1
3 2 1
0 3 1
10 2
0 3 1
4 0 2
5 5 4
1 4 0
4 4 3
5 1 0
1 2 4
5 1 2
5 0 2
2 2 3
10 9
5 5 0
3 1 5
0 1 3
1 5 4
4 3 4
5 3 5
3 0 2
2 3 0
5 1 5
5 5 1
10 9
1 2 1
0 1 0
3 0 3
3 0 1
1 3 0
0 3 3
0 2 1
0 2 0
0 1 1
0 0 2
10 7
3 2 3
2 1 2
2 0 0
3 1 3
0 3 3
2 0 2
1 0 0
0 3 2
3 1 0
2 2 0
10 2
3 1 5
5 0 2
1 3 1
1 5 4
0 4 4
2 5 3
1 2 0
4 2 4
2 5 1
2 4 3
10 6
1 1 2
5 0 5
1 2 4
4 4 2
3 5 0
1 0 3
3 0 0
1 3 5
4 4 1
5 4 0
10 3
3 3 3
3 0 3
2 0 1
3 1 2
2 1 0
0 1 2
1 0 3
0 1 1
1 1 3
0 2 2
10 9
1 0 0
2 1 2
3 0 1
0 1 2
0 3 1
3 2 0
3 0 3
3 3 0
2 1 1
1 2 2
10 8
1 2 0
2 0 1
2 2 0
1 1 0
0 1 0
0 1 2
1 0 0
1 1 2
0 1 1
2 0 2
10 7
4 2 0
4 3 5
0 2 0
3 0 3
0 0 1
0 1 0
3 4 1
0 5 1
4 1 5
2 1 1
10 5
1 4 1
2 5 4
1 4 2
3 5 5
4 1 4
1 1 4
3 5 1
5 3 1
2 1 4
2 2 1
10 4
1 2 0
1 0 1
2 2 1
2 0 1
2 0 2
0 0 1
2 1 2
0 1 1
0 2 0
1 2 1
10 6
5 0 5
2 4 0
2 2 5
3 3 4
3 2 5
1 2 4
1 2 0
1 3 5
4 5 5
0 3 1
10 5
3 3 5
5 3 5
3 0 4
5 0 1
0 2 3
4 5 1
1 5 3
3 5 2
2 4 1
1 4 0
10 2
2 0 0
2 0 1
2 1 2
1 1 0
1 2 0
1 0 1
2 2 2
0 0 2
0 2 2
1 2 1
10 5
1 4 1
2 1 1
5 2 1
4 0 3
0 2 1
2 5 1
4 1 5
1 1 0
1 0 0
2 3 1
10 9
1 0 0
3 1 0
3 3 1
1 3 0
3 2 2
2 3 1
0 1 1
1 3 1
0 1 0
1 1 3
10 5
2 2 1
3 2 1
0 1 3
0 1 2
2 3 3
3 0 3
3 0 2
0 0 1
0 2 1
1 3 2
10 9
2 0 1
1 0 1
1 2 0
0 0 0
1 0 2
1 1 1
1 0 0
2 2 2
0 2 2
1 2 1
10 5
2 2 1
1 3 1
2 0 3
0 0 3
1 0 3
3 2 0
1 0 2
2 2 0
3 0 1
1 1 2
10 2
1 2 5
1 1 5
4 1 1
5 3 5
3 2 4
1 4 2
1 5 5
4 3 4
4 0 0
2 0 3
10 8
1 1 0
1 0 1
0 0 2
1 2 0
0 1 0
1 2 2
1 0 0
0 2 2
2 0 0
2 0 2
10 3
1 0 2
0 2 1
1 2 2
2 0 0
1 1 0
0 1 1
1 0 1
0 1 2
0 2 0
2 1 2
10 5
0 1 2
1 2 2
1 1 1
1 1 0
1 0 1
1 2 1
2 1 2
1 1 2
2 0 0
2 1 0
10 4
1 1 0
1 2 2
0 1 1
1 2 0
2 0 1
1 2 1
1 0 2
0 1 0
0 0 2
2 2 1
10 8
2 0 0
1 0 0
0 1 1
2 1 0
1 2 1
2 1 2
0 1 2
2 1 1
2 2 0
2 2 2
10 8
1 0 2
1 2 2
0 2 2
1 2 0
1 0 0
2 2 0
0 1 2
2 1 2
0 1 1
1 1 0
10 7
3 0 3
2 1 0
1 2 3
0 3 2
2 0 1
1 0 1
3 3 2
1 3 2
3 1 0
1 0 2
10 2
4 2 2
1 4 4
1 2 1
4 4 0
1 0 3
4 4 3
2 0 1
2 1 1
4 0 0
2 2 4
10 2
3 3 0
2 1 3
2 2 2
3 3 2
3 1 1
1 0 0
0 2 3
1 1 0
0 0 1
2 2 0
10 9
4 0 4
1 4 3
5 1 2
0 1 5
0 3 3
0 3 5
1 3 5
1 0 3
3 4 2
5 5 3
10 9
1 0 1
4 2 1
0 5 4
0 5 5
0 3 3
1 4 4
3 2 5
1 5 2
0 1 2
1 4 2
10 5
2 1 2
0 0 3
3 0 2
3 3 1
1 3 0
1 1 1
0 3 1
0 1 3
3 1 1
2 0 2
10 7
2 1 2
2 1 0
3 2 1
0 0 1
3 0 1
1 1 1
1 1 2
2 0 2
1 2 0
1 0 3
10 3
1 1 3
2 3 2
0 1 1
1 1 1
2 1 2
1 1 2
1 0 3
0 0 0
2 2 0
3 0 2
10 6
3 1 3
2 2 0
1 4 3
2 2 4
3 3 2
1 3 2
1 4 4
0 1 1
4 4 0
4 0 0
10 9
3 1 4
0 2 0
2 2 2
4 1 1
4 1 3
3 2 1
0 3 4
1 4 1
4 2 2
1 0 0
10 8
0 1 1
2 2 2
2 2 1
2 1 0
1 0 1
1 0 0
2 1 2
1 1 0
0 0 0
0 2 1
10 9
2 0 0
2 0 5
0 2 5
2 4 0
3 4 1
2 1 3
3 4 3
1 2 0
3 1 5
3 1 1
10 6
1 0 0
5 4 3
4 0 1
5 4 1
0 5 5
5 4 4
4 5 5
1 2 0
0 0 1
5 0 2
10 3
0 2 2
0 0 2
1 0 1
1 1 2
0 1 1
2 0 1
1 1 1
1 2 0
2 1 0
0 2 0
10 2
0 1 0
1 1 0
2 2 0
2 1 2
2 0 0
2 1 0
0 2 0
2 0 2
1 0 0
1 1 1
10 3
1 2 0
2 1 3
3 1 2
2 0 1
3 0 0
1 3 0
1 1 2
2 3 2
0 3 2
2 3 3
10 7
1 3 1
3 3 2
4 0 1
3 0 0
0 4 5
3 1 4
5 2 1
2 3 3
0 3 4
0 5 4
10 8
2 4 3
0 1 4
0 4 4
1 1 4
4 2 4
4 0 5
2 1 4
0 3 0
1 3 3
2 0 3
10 6
3 3 0
2 1 4
5 1 1
5 4 4
5 1 5
2 1 0
5 3 4
2 5 1
1 5 1
2 1 1
10 7
5 4 0
1 0 2
5 5 2
4 3 3
2 1 3
0 4 4
4 2 3
0 0 3
3 1 3
1 5 4
10 4
2 2 0
1 1 1
0 0 0
2 2 1
0 2 2
2 1 1
0 1 2
2 1 2
2 1 0
2 2 2
10 3
1 3 3
5 2 4
1 1 0
0 0 3
5 0 1
0 4 2
1 2 0
3 0 5
5 4 5
0 0 5
10 5
1 0 0
1 0 1
0 1 0
2 1 0
2 0 0
2 0 1
1 2 2
1 1 0
2 2 2
1 1 1
10 4
2 0 2
0 0 2
1 2 2
1 2 1
2 0 1
1 0 2
0 1 1
2 2 1
1 1 0
2 1 0
10 5
0 2 0
1 3 2
0 0 3
3 0 0
0 0 1
2 1 2
0 2 3
0 3 1
2 1 0
2 3 3
10 3
2 2 0
1 2 2
1 1 2
0 1 2
2 1 1
2 0 1
0 1 1
0 2 1
1 0 2
1 0 0
10 4
0 0 0
1 2 1
1 1 0
0 2 2
0 1 1
0 2 1
2 1 2
2 0 2
2 0 1
1 2 0
10 4
4 3 0
3 0 1
1 2 1
2 4 2
0 2 2
2 3 0
0 2 3
1 4 3
4 2 2
1 3 3
10 9
0 0 2
0 0 1
2 3 2
2 3 3
3 1 0
3 0 2
2 1 2
3 0 1
1 0 3
0 2 1
10 7
3 2 3
4 3 4
1 2 2
2 4 4
1 2 4
3 0 3
0 3 2
0 0 0
3 4 0
2 2 3
10 9
0 0 1
0 2 2
2 0 0
1 1 0
1 2 2
0 1 2
2 1 2
0 0 0
2 1 1
2 2 0
10 6
2 2 1
1 1 1
3 2 3
0 3 2
2 3 1
3 0 3
2 1 1
3 1 0
1 3 0
2 3 0
10 2
0 0 3
1 1 1
0 0 0
3 3 3
3 2 2
2 1 2
2 2 2
2 0 0
3 0 2
3 0 0
10 5
1 4 3
3 0 1
1 2 0
2 0 4
0 3 1
1 4 4
4 1 0
4 1 4
3 4 1
2 4 2
10 3
2 3 2
4 5 5
5 0 0
3 3 1
0 2 0
2 4 5
2 4 4
0 4 1
0 5 3
2 1 5
10 8
2 2 2
2 0 2
2 1 2
0 2 0
2 1 0
0 0 1
0 1 1
2 2 1
2 0 0
1 2 0
10 4
1 0 0
3 2 0
1 2 0
2 0 1
3 2 2
1 0 1
1 3 1
3 2 1
3 0 0
3 2 3
10 6
0 0 0
0 3 3
1 2 3
2 1 1
2 3 3
0 1 3
0 0 3
3 3 0
1 1 3
0 3 0
10 5
5 3 1
4 0 5
3 3 3
4 2 4
4 4 0
4 4 5
0 1 4
5 1 1
4 4 3
1 4 2
10 6
2 0 3
3 3 3
0 2 0
2 1 2
0 0 2
0 0 3
3 1 0
3 0 0
2 1 0
2 2 0
10 9
0 1 2
1 2 2
1 1 0
2 0 0
0 1 0
0 2 2
1 2 0
2 1 0
0 2 0
2 1 1
10 9
0 2 5
0 4 2
4 5 2
2 5 0
2 3 1
0 5 1
5 4 1
5 3 4
4 4 3
3 1 1
10 7
3 0 2
4 1 5
0 0 3
1 2 1
4 4 4
2 1 0
5 3 1
4 4 1
1 0 1
4 5 1
10 2
1 1 0
1 0 1
1 1 2
2 1 2
1 2 1
2 1 0
0 2 1
2 0 1
0 1 2
2 2 1
10 5
3 3 3
1 2 0
2 1 3
3 2 1
2 0 3
0 3 3
3 1 0
1 0 3
2 2 1
3 0 3
10 9
0 2 2
1 2 1
0 0 2
1 0 1
0 1 1
2 1 0
1 0 2
1 2 0
0 1 0
0 2 0
10 9
3 2 5
2 0 2
1 2 1
4 5 1
5 2 3
0 3 4
4 2 4
1 4 0
4 4 4
1 1 4
10 7
1 1 1
2 1 1
1 0 0
0 0 1
2 2 0
2 1 2
2 2 2
0 2 1
1 1 0
0 0 0
10 4
3 2 0
2 1 0
0 0 1
0 2 3
2 3 0
3 1 3
3 3 0
1 0 3
1 3 0
1 1 3
10 4
4 1 0
5 1 4
3 2 5
2 4 5
0 5 0
4 3 1
4 3 0
2 5 4
3 3 1
1 0 1
10 8
1 0 2
0 0 0
0 2 0
2 1 1
1 1 1
0 2 2
2 2 0
2 2 2
1 1 2
2 0 0
10 9
2 2 2
1 1 2
3 0 0
1 0 0
3 3 4
1 2 3
2 3 1
1 2 1
0 0 2
3 4 3
10 4
1 1 2
0 2 0
1 0 0
0 1 1
1 1 0
1 0 1
1 1 1
2 2 0
0 0 2
2 2 2
10 7
0 2 1
0 0 0
1 2 2
1 1 2
2 1 0
1 2 1
2 2 1
2 2 2
1 0 1
1 1 1
10 6
3 2 0
0 0 3
1 3 0
2 3 1
2 0 2
2 3 2
2 0 1
3 0 0
2 0 0
1 1 2
10 2
0 0 1
2 1 1
1 1 2
1 1 0
0 0 0
2 0 2
0 0 2
1 2 1
0 1 0
2 2 0
10 8
2 2 1
1 2 0
2 1 2
0 1 1
1 0 1
1 1 1
2 0 0
0 1 2
0 0 0
0 2 2
10 4
2 4 5
0 4 4
3 2 1
3 3 3
4 2 3
3 2 2
3 4 5
2 2 1
2 5 4
0 3 0
10 7
2 1 3
0 1 1
2 0 0
3 2 2
2 2 3
0 2 3
1 1 1
1 2 0
0 1 2
2 3 0
10 8
4 5 1
3 3 1
2 2 0
1 0 5
2 3 1
0 4 2
1 2 5
4 0 3
5 2 2
2 5 4
10 6
3 4 0
5 3 0
4 1 4
2 5 1
2 5 3
5 2 4
3 3 3
5 0 5
3 0 1
3 4 1
10 6
2 3 2
0 2 0
1 0 2
0 0 2
0 3 1
0 1 2
1 3 3
3 1 0
1 2 3
2 1 3
10 3
0 3 1
3 2 0
3 2 1
3 0 1
0 1 2
0 2 0
2 0 3
3 3 2
1 2 1
0 0 1
10 3
2 4 1
2 1 4
4 2 1
4 0 1
4 4 4
1 0 3
4 0 3
3 4 1
0 0 2
2 3 0
10 7
2 0 0
0 0 0
2 0 2
2 0 1
1 0 2
2 2 0
2 1 2
2 2 2
0 1 0
0 0 1
10 3
0 1 1
0 2 1
2 3 0
3 3 3
0 2 2
1 2 2
3 3 1
1 3 3
1 0 2
0 1 3
10 7
1 1 0
2 1 1
2 1 2
1 2 0
0 0 1
2 2 1
1 0 0
0 0 2
1 0 2
1 0 1
10 5
4 1 3
4 0 3
3 0 2
3 5 5
1 2 1
1 0 5
2 5 1
2 2 4
1 5 0
4 2 3
10 5
3 1 5
4 0 5
4 1 2
1 0 1
5 3 5
4 5 1
3 4 3
5 2 0
5 4 0
2 2 3
10 5
0 2 2
5 3 0
4 5 2
3 4 4
1 2 4
5 5 1
3 5 0
5 4 3
3 3 4
4 2 4
10 7
2 5 5
5 1 1
3 3 4
1 1 0
1 1 2
2 5 4
3 0 1
4 2 0
0 4 5
1 5 4
10 6
4 2 4
1 3 3
0 0 1
0 3 2
1 2 4
4 0 4
4 2 0
4 3 0
4 1 4
1 4 0
10 3
0 0 1
1 0 2
2 0 0
0 2 1
1 1 2
2 2 0
2 1 0
2 0 1
2 1 1
0 2 0
10 4
4 4 3
4 3 0
2 0 3
1 2 2
0 1 3
3 4 1
2 1 3
2 3 3
3 2 4
0 0 1
10 6
0 1 1
2 2 2
3 1 0
2 3 1
3 3 0
3 2 2
2 0 3
2 3 0
1 0 1
0 1 3
10 5
1 0 1
1 1 1
0 2 1
2 1 2
1 2 0
0 2 2
2 0 2
2 0 1
1 1 2
2 1 1
10 8
5 5 2
2 2 5
1 5 5
4 0 2
5 2 4
3 1 1
0 5 0
3 5 3
5 0 3
1 5 1
10 8
1 2 1
3 4 1
4 3 0
2 4 2
4 5 1
2 3 3
5 5 2
3 0 2
3 5 5
3 1 5
10 4
3 2 1
1 4 1
1 2 2
2 0 2
5 5 1
3 5 2
5 2 4
3 2 3
2 1 1
1 3 1
10 8
0 2 3
0 0 3
2 4 4
0 3 4
1 0 3
2 3 0
4 3 0
3 4 3
3 4 2
3 3 0
10 7
4 0 3
3 4 1
4 5 1
3 1 2
3 5 4
0 2 5
4 2 5
0 1 3
0 3 0
3 1 1
10 5
2 1 2
2 2 2
1 2 1
0 2 1
1 2 0
1 2 2
1 1 2
0 1 0
2 2 0
2 0 0
10 6
1 1 3
0 0 3
0 0 1
1 0 2
2 0 1
3 3 0
3 2 0
0 1 3
1 2 2
1 0 3
10 7
1 0 1
2 2 0
4 0 4
2 0 1
0 4 4
0 3 2
4 0 0
3 3 4
2 0 2
3 1 4
10 5
0 0 0
0 1 2
0 2 1
0 0 2
1 1 2
0 2 2
1 1 0
2 2 2
0 1 0
0 2 0
10 4
2 2 0
1 1 2
0 0 2
2 1 1
1 0 0
0 0 0
2 0 2
1 0 2
1 1 1
1 1 0
10 9
0 3 3
1 3 0
0 1 1
3 3 3
3 0 1
0 0 3
0 1 3
3 2 2
1 1 1
3 3 2
10 8
1 1 1
0 0 1
2 2 0
1 1 0
2 2 2
0 0 2
2 2 1
0 2 1
1 2 1
1 2 0
10 8
5 0 5
2 1 3
3 2 5
4 2 1
0 3 5
4 2 2
4 3 3
2 4 2
5 1 0
5 0 3
10 8
3 5 4
0 5 1
1 1 2
2 0 0
0 1 5
5 2 1
4 3 2
4 5 3
5 5 1
0 4 1
10 8
0 4 3
4 2 1
4 3 1
2 0 1
1 2 0
1 0 2
1 3 0
4 0 1
0 3 4
0 4 1
10 4
4 2 1
1 2 1
2 0 1
0 4 1
3 2 0
4 3 4
4 4 3
4 2 0
2 3 3
2 1 1
10 4
4 2 0
2 1 0
3 1 3
2 1 1
2 0 4
3 0 2
4 1 3
0 1 2
3 3 1
0 2 2
10 9
0 4 0
0 1 1
1 2 2
3 4 2
4 2 4
1 4 1
0 1 4
2 2 3
2 1 3
1 0 2
10 9
0 1 0
0 0 2
1 0 1
0 2 2
2 0 2
2 0 1
2 1 0
1 2 0
0 2 1
1 1 0
10 4
1 0 0
0 1 0
0 0 1
2 2 0
1 1 2
0 2 2
1 2 1
2 0 2
0 0 0
1 0 1
10 8
1 3 3
3 2 1
3 3 1
1 0 3
3 2 2
1 2 2
0 0 0
0 2 3
2 1 3
0 0 3
10 3
5 1 3
2 3 0
5 0 4
3 4 4
3 3 4
0 4 5
4 5 2
4 2 5
0 3 3
5 3 1
10 9
0 1 0
1 2 2
0 2 1
1 1 1
2 1 0
1 2 3
2 3 3
3 2 0
0 0 0
2 2 1
10 7
1 3 0
3 4 1
2 3 4
4 3 4
2 2 0
3 2 4
2 3 1
2 0 2
4 1 3
4 1 4
10 3
4 2 5
0 5 0
3 2 0
0 3 3
5 3 0
3 3 4
5 1 2
5 3 4
3 3 3
2 3 0
10 7
2 2 1
1 1 0
1 2 2
2 0 2
0 1 2
0 1 0
0 2 0
2 2 0
0 0 1
1 0 0
10 3
1 3 0
3 4 3
4 3 1
0 2 3
0 3 3
4 4 1
4 3 0
1 0 3
1 3 3
3 2 2
10 2
1 0 1
0 1 3
2 3 1
1 2 1
3 1 0
3 0 1
0 0 2
2 2 1
2 2 0
2 1 3
10 5
1 0 0
1 2 1
0 0 0
0 2 2
2 0 0
0 2 0
0 0 1
1 0 2
2 2 1
0 2 1
10 4
1 2 0
1 2 2
2 0 3
4 3 0
4 0 4
4 2 2
0 0 4
4 4 4
1 2 4
3 4 4
10 4
4 4 3
0 2 0
0 3 1
2 3 1
4 2 0
0 2 1
4 4 0
4 4 4
0 3 3
0 3 2
10 8
3 1 1
2 0 3
3 2 2
1 3 2
1 3 3
3 1 3
2 1 3
2 2 3
0 0 3
3 3 3
10 5
1 1 4
4 3 3
2 0 1
0 0 2
0 0 0
5 4 0
3 3 0
5 0 2
3 1 3
1 3 2
10 4
0 2 2
1 0 2
0 1 2
1 1 1
0 1 1
2 2 1
0 1 0
1 0 0
2 2 2
1 2 0
10 3
2 2 1
2 0 1
1 2 0
0 0 0
1 2 1
1 2 2
0 2 2
2 2 0
0 0 2
2 1 1
10 4
1 3 2
3 0 0
2 0 3
1 4 1
3 2 4
4 1 2
2 4 4
0 2 0
2 3 1
4 4 0
10 3
0 0 1
5 0 5
2 3 4
5 1 0
2 5 4
1 2 2
5 2 3
5 4 1
4 1 2
0 5 0
10 3
2 2 2
2 0 0
1 2 0
0 0 2
2 1 1
0 1 1
1 0 1
1 0 0
1 1 1
1 1 2
10 8
3 3 0
0 3 1
3 0 0
3 1 1
2 3 0
3 3 3
0 3 0
1 3 0
1 3 1
0 0 2
10 8
0 2 1
3 1 2
1 1 3
3 2 1
3 1 3
2 0 2
0 1 2
3 0 3
3 0 1
2 1 1
10 2
0 4 0
1 1 2
1 4 4
3 1 3
4 3 3
3 3 3
1 4 3
0 1 2
3 0 3
0 1 0
10 8
0 2 5
4 2 3
5 4 3
0 3 3
2 0 4
5 2 4
1 1 3
3 1 0
4 5 2
1 2 0
10 8
0 5 3
4 3 5
3 1 5
3 5 3
3 3 3
1 5 0
3 5 4
4 1 4
4 4 5
4 0 2
10 8
4 3 0
2 5 4
2 3 0
5 2 4
4 2 2
4 1 1
4 1 4
2 1 5
5 0 4
0 3 3
10 5
3 1 2
3 3 2
0 4 1
3 2 1
0 3 1
3 1 3
3 1 0
0 2 1
1 2 4
0 3 4
10 3
0 0 2
0 0 1
0 0 0
2 1 2
2 0 0
2 0 1
1 0 1
2 0 2
0 2 0
2 1 1
10 5
0 1 2
0 2 2
2 2 0
0 2 1
1 0 1
1 2 0
0 1 0
2 0 0
2 1 2
1 0 2
10 2
1 2 2
1 2 1
2 0 1
2 0 0
0 2 2
1 0 0
0 1 1
2 0 2
2 2 1
0 2 1
10 2
4 2 2
0 0 3
2 3 4
4 3 1
3 3 3
1 4 3
1 0 2
4 4 4
3 2 2
2 0 1
10 9
2 1 1
0 2 0
2 0 1
1 1 2
0 1 1
2 0 2
0 0 2
2 2 2
0 1 2
1 2 0
10 4
3 1 3
3 0 0
2 2 2
2 0 0
3 0 3
2 0 1
3 0 1
2 2 3
3 2 3
1 1 2
10 2
5 2 4
1 4 4
5 1 3
2 2 2
5 5 3
1 0 0
0 3 1
2 5 3
4 0 3
4 5 5
10 5
1 3 1
2 3 2
0 1 0
2 0 3
1 2 0
1 1 1
0 2 2
3 0 1
1 0 3
0 0 3
10 3
2 3 0
0 0 3
4 2 2
2 4 1
4 0 0
4 4 2
1 4 2
1 3 3
1 2 1
0 3 0
10 3
2 0 0
0 1 2
1 1 0
2 2 2
2 1 0
1 0 1
1 2 2
2 0 2
0 2 1
0 2 0
10 7
0 2 2
2 2 1
2 2 2
1 1 2
2 2 0
1 2 2
2 1 1
1 0 2
1 1 1
1 0 0
10 5
4 1 4
2 1 3
4 0 3
1 0 3
2 0 1
4 4 2
3 2 4
2 4 4
3 4 3
2 2 4
10 8
0 0 4
4 4 1
4 2 1
2 3 5
2 5 3
1 3 0
2 5 5
4 2 0
5 2 2
4 0 2
10 3
3 2 1
0 2 5
1 1 5
1 0 3
1 4 5
3 1 0
5 0 0
4 5 1
2 2 2
4 1 0
10 7
1 3 1
2 2 0
0 3 3
1 3 0
1 0 1
0 0 1
1 0 3
2 3 1
3 0 3
2 3 2
10 3
2 0 4
5 4 0
4 5 0
2 4 0
5 0 2
4 5 2
1 1 2
2 0 1
3 0 1
0 5 4
10 9
1 0 0
3 4 4
3 3 4
0 0 4
2 3 3
2 3 1
1 0 3
3 2 0
1 1 3
3 2 3
10 8
4 2 5
5 2 0
5 5 2
5 2 4
3 2 4
2 4 2
4 1 0
0 2 0
3 5 3
0 0 4
10 5
1 1 2
3 2 1
3 3 0
0 1 0
2 2 1
1 1 3
1 3 2
2 0 3
0 3 3
3 3 2
10 6
1 0 2
3 1 0
2 1 3
1 4 3
0 0 1
0 4 3
1 3 2
0 0 2
2 3 2
2 2 2
10 6
1 0 0
2 2 2
1 2 0
1 2 1
0 1 0
0 0 2
2 0 0
0 2 0
1 1 0
2 1 1
10 7
1 1 1
4 4 4
3 0 1
3 2 0
0 2 2
1 4 1
4 3 3
0 1 2
1 2 3
3 2 3
10 8
2 0 0
1 2 1
2 0 2
1 2 0
2 2 1
2 0 1
2 2 0
0 1 0
1 0 2
1 1 1
10 3
0 1 0
2 2 1
2 1 1
2 0 1
0 0 1
0 0 0
1 2 0
0 2 0
2 2 0
0 1 2
10 9
3 4 4
2 4 4
4 0 1
0 3 1
0 0 0
2 4 3
2 3 3
0 0 1
3 1 2
0 1 1
10 9
1 3 4
0 5 1
0 3 5
2 1 5
1 3 5
1 3 1
3 3 0
1 0 2
5 1 1
3 5 4
10 8
3 5 4
3 2 0
1 2 4
5 0 5
3 3 2
2 1 2
3 0 1
3 3 1
2 0 0
1 3 4
10 9
5 0 0
4 3 4
4 2 5
2 0 0
5 0 3
1 3 3
4 5 4
5 1 3
5 3 0
0 3 2
10 6
2 1 0
2 0 0
2 2 1
1 1 1
0 2 0
2 2 2
1 2 1
0 2 1
2 0 1
0 0 2
10 9
1 4 3
0 4 4
0 1 1
3 0 0
1 3 2
3 2 3
2 0 2
3 1 1
4 1 4
2 3 0
10 3
5 1 0
4 2 3
2 2 3
5 4 0
1 3 3
2 3 0
3 2 0
0 4 3
4 5 0
2 4 1
10 5
1 4 3
5 4 4
5 4 5
5 3 1
1 2 0
1 1 0
3 4 1
3 1 3
5 5 3
4 3 2
10 4
4 2 3
1 4 4
4 1 3
3 3 0
3 2 2
0 1 0
4 4 0
0 4 2
3 3 4
0 1 4
10 9
1 4 1
5 0 1
2 5 5
3 2 2
1 0 3
2 1 2
3 1 5
1 0 4
5 2 4
3 5 2
10 3
3 2 0
0 0 0
4 2 3
1 2 2
0 0 2
4 4 4
1 3 4
3 3 3
1 3 1
3 2 2
10 6
0 3 1
4 1 1
2 0 1
3 4 0
3 4 4
0 2 3
3 3 3
1 3 3
4 1 2
0 2 1
10 5
0 1 4
1 5 4
1 2 1
0 1 0
3 3 4
4 1 2
1 4 0
1 1 5
3 5 4
2 3 3
10 4
2 2 2
2 3 0
0 2 3
0 4 2
1 2 0
2 1 1
4 1 0
2 4 1
0 4 0
0 1 2
10 4
3 0 3
2 0 3
1 3 1
2 1 0
3 2 0
3 3 2
2 1 1
1 2 1
1 0 0
1 1 0
10 5
0 5 3
3 0 4
0 2 0
3 4 1
3 4 4
0 1 2
1 1 5
4 4 2
4 1 5
5 5 1
10 3
1 4 2
0 1 4
3 1 3
0 0 0
4 5 5
5 0 1
1 0 2
0 5 5
2 0 0
1 3 3
10 9
2 0 2
2 1 1
1 0 1
2 2 1
1 2 2
2 0 1
0 2 1
2 1 0
1 1 0
2 2 0
10 2
2 3 1
1 1 3
1 0 2
3 3 2
1 3 1
3 2 0
2 1 1
2 3 2
2 2 0
0 2 0
10 7
1 2 2
1 1 1
1 2 0
0 3 3
0 1 3
0 3 1
2 2 3
2 1 1
3 0 0
3 1 0
10 5
1 0 0
2 0 0
0 0 4
1 2 3
3 2 4
0 2 4
2 0 4
2 1 2
3 2 1
1 4 4
10 6
0 1 2
2 0 0
1 2 2
1 1 2
0 0 1
1 0 2
2 1 0
2 1 1
2 2 1
2 2 2
10 6
0 3 3
0 1 1
1 1 3
0 2 2
3 1 0
2 0 2
3 1 3
2 0 3
0 3 2
1 2 2
10 9
0 2 1
2 0 2
1 1 2
1 2 2
1 1 1
0 2 0
0 0 2
1 2 1
1 1 0
2 1 0
10 8
1 1 1
2 0 0
2 0 1
0 1 2
2 1 2
0 2 2
1 2 0
2 2 1
0 0 0
0 1 1
10 4
2 2 1
1 0 2
0 1 1
2 0 2
0 2 1
0 0 1
1 2 0
2 1 1
0 1 0
2 1 2
10 3
1 3 0
0 2 0
2 1 3
1 4 3
2 2 2
3 1 0
4 3 3
1 1 0
0 3 3
4 1 1
10 2
5 4 0
3 3 2
4 1 0
1 0 5
5 5 4
0 3 3
2 1 4
1 0 0
1 5 2
4 2 5
10 5
0 2 2
3 0 3
3 3 0
3 2 0
3 3 2
1 1 2
1 3 1
2 0 1
0 1 3
3 2 3
10 3
0 1 1
1 1 2
0 1 2
0 1 0
2 2 1
0 2 0
2 2 0
2 1 0
0 0 2
1 1 1
10 9
0 0 0
0 0 2
1 0 1
2 1 0
1 1 0
2 2 0
0 2 0
0 0 1
2 2 1
1 2 1
10 6
1 2 2
1 1 0
0 2 0
2 2 1
2 0 0
2 2 2
2 0 2
1 0 0
0 1 2
0 1 0
10 7
3 1 3
0 2 0
2 3 0
1 2 3
0 1 0
1 3 3
3 3 0
0 3 2
0 1 2
1 3 1
10 8
0 0 0
0 2 1
1 1 2
1 1 1
1 2 1
1 0 2
2 1 0
1 0 1
1 1 0
0 1 0
10 7
3 3 5
1 2 2
2 3 5
0 0 2
4 1 4
2 4 4
1 5 2
5 3 2
4 2 4
4 1 1
10 7
3 1 0
5 4 3
4 3 4
4 2 1
3 3 3
3 1 2
4 1 2
5 0 5
4 5 3
1 5 1
10 2
1 5 3
2 0 5
0 2 3
4 1 3
0 4 1
3 5 0
2 0 0
3 0 1
4 3 2
1 5 0
10 8
3 3 1
1 1 3
1 1 1
0 3 3
0 3 2
0 2 0
0 1 0
3 2 3
0 0 1
0 1 2
10 6
4 2 0
3 2 3
2 3 3
0 3 2
1 4 3
4 2 2
2 1 0
3 3 2
0 4 2
4 0 4
10 4
1 1 0
0 0 3
0 2 1
1 1 2
1 3 1
3 3 0
2 4 4
1 3 3
0 3 3
1 2 2
10 6
0 1 3
0 3 0
2 3 1
3 1 3
3 0 1
2 1 2
2 0 2
1 2 0
0 0 2
1 3 1
10 9
3 4 4
2 5 3
1 2 2
5 0 5
3 3 2
0 0 1
5 3 5
5 1 2
2 5 0
5 0 1
10 3
0 1 2
2 2 2
2 0 1
0 1 0
0 0 2
0 1 1
2 1 0
0 2 1
1 2 2
1 1 2
10 8
0 3 3
1 3 1
1 0 1
0 2 3
0 1 3
3 3 3
3 2 1
3 0 2
1 1 2
0 2 2
10 8
1 3 2
1 0 3
2 1 0
0 1 1
0 0 0
3 2 3
0 3 2
3 0 3
1 2 1
2 1 2
10 7
2 0 0
0 1 0
2 2 0
1 0 0
2 1 2
2 1 0
0 0 1
1 2 2
1 1 0
2 0 1
10 7
3 0 2
1 0 1
2 3 0
0 0 2
0 4 2
1 2 4
4 4 4
3 1 1
2 3 1
2 4 3
10 3
3 4 2
0 2 2
1 1 4
1 4 0
4 4 3
4 1 4
1 1 2
3 4 4
1 1 0
0 4 0
10 9
3 0 2
2 0 2
0 1 3
2 3 1
0 3 3
0 2 3
0 3 2
2 1 2
3 1 3
3 2 2
10 7
2 0 2
2 2 2
2 1 0
1 0 0
0 2 1
1 2 0
0 2 0
2 1 2
2 0 1
2 2 1
10 2
2 5 1
2 4 1
1 1 3
4 4 3
0 3 0
5 3 4
1 2 0
4 5 0
5 2 2
0 1 1
10 4
2 3 3
3 2 3
4 3 1
0 0 1
1 2 2
4 2 1
4 0 2
1 3 3
3 2 4
4 2 0
10 8
2 1 2
1 2 1
0 0 0
1 2 2
1 1 0
2 1 0
0 2 2
0 1 2
0 0 1
2 2 2
10 6
2 2 0
1 0 3
1 0 1
0 3 3
3 2 1
0 2 3
3 0 1
1 1 0
2 2 1
2 0 1
10 3
1 1 2
2 0 2
2 2 0
0 1 2
1 1 0
2 0 0
1 0 2
1 0 0
0 2 0
1 0 1
10 9
2 0 0
3 3 2
1 2 2
2 0 1
4 1 4
0 1 3
1 3 4
2 1 4
1 3 2
4 2 4
10 9
2 1 2
0 2 1
1 2 0
0 0 0
1 1 0
2 2 2
1 1 2
1 0 2
1 0 1
2 0 1
10 8
2 0 0
0 2 1
0 0 0
1 2 1
0 0 1
2 0 2
2 2 2
1 1 1
0 0 2
0 2 2
10 5
0 3 0
3 2 4
1 2 1
1 3 1
2 4 4
4 3 3
4 4 4
4 3 2
0 3 4
0 0 4
10 5
1 3 2
4 0 0
1 2 3
1 2 2
3 1 4
4 3 4
4 4 1
3 4 3
2 4 4
0 0 1
10 8
0 3 4
0 2 4
0 4 4
4 3 2
4 1 0
1 2 3
2 0 0
1 4 1
1 4 2
0 4 2
10 9
0 1 2
2 1 1
0 4 4
3 0 1
0 4 2
2 1 0
0 0 3
0 1 3
1 0 0
1 0 2
10 9
1 2 0
2 2 0
0 1 0
2 0 1
0 0 1
0 0 0
2 1 2
1 2 1
1 0 1
2 0 0
10 3
4 4 0
2 1 1
4 3 4
3 3 3
3 2 4
0 2 1
3 2 3
0 4 4
4 1 2
0 1 0
10 4
4 1 4
4 1 1
4 3 0
4 4 2
3 3 0
0 3 3
0 3 0
2 1 4
3 4 4
1 0 0
10 7
1 0 2
3 3 3
2 0 2
1 3 1
0 1 2
0 3 0
3 0 0
0 2 3
3 2 0
1 0 0
10 3
2 4 1
0 3 1
2 4 4
3 3 2
0 3 3
2 1 2
4 2 3
4 4 3
4 2 2
4 4 2
10 4
3 0 0
2 0 2
3 2 3
3 2 2
0 2 1
0 1 3
2 1 3
0 0 2
3 0 2
2 3 1
10 9
2 3 2
4 2 1
4 4 2
1 0 3
4 0 1
3 3 1
2 2 1
1 2 0
1 1 1
1 0 4
10 2
4 3 1
2 2 5
0 1 3
3 5 4
1 3 1
5 5 2
0 2 0
3 3 0
2 2 3
2 1 5
10 6
5 1 5
3 1 3
5 5 4
3 2 2
5 0 3
5 1 0
5 4 0
0 4 2
3 5 3
1 4 1
10 8
2 1 2
3 1 1
0 2 1
1 0 2
1 0 3
0 1 3
2 3 3
3 2 1
0 2 3
1 0 1
10 6
3 1 1
1 1 3
2 0 2
4 2 0
4 1 3
2 1 3
2 3 1
2 2 4
4 3 2
0 1 2
10 3
0 2 1
0 0 1
1 0 2
0 1 2
1 0 0
0 0 0
2 1 2
1 1 0
1 2 1
2 0 0
10 4
2 3 0
0 1 2
0 4 0
1 0 4
0 0 0
1 4 1
3 1 2
2 2 1
3 0 4
0 2 1
10 7
0 0 0
2 1 2
2 0 1
1 1 0
0 2 1
2 2 2
2 1 1
0 0 1
0 1 0
0 2 2
10 4
2 0 0
2 0 2
2 2 2
1 2 1
1 0 1
1 2 0
2 2 0
0 2 0
2 1 0
0 1 1
10 5
1 0 1
1 0 0
2 1 1
3 0 3
1 0 2
0 3 1
2 3 3
0 2 0
3 1 1
0 0 2
10 9
4 0 4
4 2 4
0 4 2
4 2 2
2 1 1
3 3 3
4 4 2
3 4 0
3 4 4
4 2 0
10 3
2 0 0
3 1 4
1 1 0
2 2 2
3 1 3
3 4 3
0 2 3
0 2 2
3 2 2
0 4 1
10 6
2 0 0
1 3 4
3 1 1
4 1 2
0 1 2
0 1 0
3 4 4
3 1 0
4 2 1
4 2 3
10 9
2 0 1
2 1 2
2 3 0
1 3 3
1 2 2
0 1 1
3 3 2
3 1 0
3 0 2
0 1 0
10 8
1 2 1
1 1 1
2 0 1
1 2 0
0 1 1
2 0 0
0 1 2
1 1 2
1 2 2
2 2 0
10 5
2 2 0
3 1 0
1 0 3
2 1 2
0 2 2
0 3 1
2 0 3
0 1 0
3 0 0
3 2 1
10 9
0 0 1
1 1 0
0 3 0
4 2 4
4 3 2
0 1 1
2 1 0
2 2 1
2 2 3
2 4 3
10 7
1 4 0
2 3 5
2 4 0
2 2 0
3 3 5
1 5 4
3 5 1
2 2 4
3 1 0
2 5 1
10 3
1 1 0
3 0 1
3 3 0
0 4 4
4 1 2
0 4 3
3 0 0
3 2 0
4 1 1
4 4 2
10 4
0 3 2
3 2 2
1 1 2
2 2 2
0 1 2
1 0 1
2 2 0
0 2 3
3 0 3
2 1 3
10 7
0 3 5
4 3 3
2 3 1
5 5 2
3 4 5
4 1 4
0 2 2
1 4 5
0 1 5
1 1 2
10 4
5 1 4
3 5 0
2 5 5
5 4 5
5 4 1
2 4 5
3 4 2
4 4 2
5 0 0
0 2 2
10 3
2 5 4
2 2 5
5 1 1
0 1 1
4 1 0
0 4 5
5 0 3
0 1 0
2 4 3
2 3 5
10 6
0 3 1
4 4 3
4 4 1
0 4 0
2 0 2
4 0 1
3 4 2
2 2 3
3 1 0
0 4 1
10 9
4 2 1
5 1 3
3 5 5
0 1 2
1 1 0
4 1 1
1 0 0
5 2 2
5 4 4
0 3 0
10 2
1 2 2
1 3 3
0 2 1
1 0 3
2 0 0
2 3 2
1 3 0
1 2 1
0 1 1
0 3 3
10 2
2 1 2
0 0 1
2 0 0
0 1 0
1 2 0
2 0 2
1 2 2
0 2 1
2 2 2
2 0 1
10 8
4 2 5
5 3 1
0 4 1
2 1 4
4 3 1
1 2 0
2 1 2
0 2 4
3 2 5
0 1 3
10 8
1 2 0
0 0 1
2 2 0
0 2 0
0 1 1
0 0 2
1 0 0
2 1 0
2 0 2
1 2 2
10 3
0 0 0
5 0 1
5 4 4
4 5 0
5 2 5
3 2 3
0 0 4
4 4 1
3 5 5
5 1 2
10 9
3 2 3
0 0 3
1 2 1
2 1 2
3 0 1
3 3 2
2 1 1
1 0 1
1 0 0
1 2 0
10 9
2 4 4
3 3 0
4 0 2
4 2 2
2 1 4
1 2 3
0 3 0
2 0 2
2 0 4
0 4 0
10 7
2 1 3
2 2 3
4 0 4
4 2 3
3 2 1
1 0 1
1 3 2
4 2 0
2 1 1
1 4 1
10 8
1 0 1
5 1 0
3 3 5
0 5 2
5 3 4
3 4 3
3 2 4
5 3 0
2 1 5
2 3 5
10 7
1 1 0
2 3 3
0 3 2
2 2 1
1 3 0
0 3 0
3 2 2
0 3 3
1 1 3
3 3 0
10 4
0 0 0
0 2 3
2 0 1
4 1 2
3 1 0
2 1 0
4 0 4
3 2 3
3 3 3
2 1 3
10 5
2 2 1
1 0 1
1 2 0
2 0 2
2 2 2
1 0 0
2 1 0
0 1 0
1 2 1
2 2 0
10 8
2 3 1
1 3 0
1 3 3
1 0 1
0 1 0
1 0 2
2 1 1
1 1 0
0 2 2
1 2 3
10 6
3 1 1
4 2 0
0 4 4
0 1 3
4 1 2
4 1 3
1 1 1
1 4 4
3 3 0
3 4 2
10 4
1 0 1
2 2 2
2 0 1
0 1 2
1 2 1
2 0 2
1 1 2
0 1 1
0 2 0
2 1 2
10 3
1 0 1
1 2 1
2 0 3
1 3 1
2 0 0
0 1 0
3 1 3
3 2 0
0 0 0
1 3 3
10 9
2 1 1
0 0 3
2 3 0
1 3 3
2 0 3
1 1 2
0 2 0
2 3 3
1 3 1
3 1 3
10 6
4 4 1
1 4 1
4 2 0
2 4 1
5 5 0
3 1 1
0 5 0
5 2 1
5 4 0
0 0 3
10 8
3 1 1
2 2 1
3 0 1
3 3 0
0 1 0
0 3 2
1 1 3
0 3 3
0 2 0
3 1 0
10 3
0 1 2
2 3 2
1 0 0
1 2 1
0 2 2
2 2 0
2 0 0
3 0 1
1 1 1
2 3 1
10 7
0 2 1
0 0 2
2 2 0
1 1 0
0 2 0
0 0 0
1 0 2
2 2 1
1 2 1
0 1 0
10 9
3 0 1
5 4 0
5 2 4
3 1 4
2 4 2
3 1 2
2 3 4
1 0 2
2 1 3
3 3 3
10 2
2 2 2
2 1 1
0 2 1
0 0 1
1 1 0
0 2 0
1 0 2
2 0 1
0 1 1
0 0 2
10 6
1 0 3
3 1 1
2 1 0
0 0 1
0 1 3
0 2 3
0 3 1
3 1 3
0 3 0
3 0 0
10 2
1 5 5
5 5 5
2 2 2
5 2 5
3 2 3
5 2 3
4 1 4
2 0 2
4 5 1
5 5 1
10 6
2 0 0
1 3 2
0 0 0
2 0 5
1 5 1
2 4 3
3 2 4
0 4 0
1 2 5
0 1 0
10 6
0 2 2
2 2 0
1 1 0
0 0 1
1 0 1
0 2 1
0 0 2
2 2 2
0 1 1
1 0 0
10 6
0 1 0
0 2 2
2 2 0
0 2 0
1 2 1
0 2 1
2 2 1
1 0 2
0 1 1
2 0 2
10 3
1 2 2
0 2 2
1 0 1
2 0 1
1 1 1
2 0 2
0 0 1
2 2 1
2 2 0
0 1 0
10 6
0 3 1
2 4 1
4 1 3
0 0 4
3 2 3
1 0 4
0 4 2
4 4 1
0 2 1
4 4 4
10 7
0 3 0
3 1 1
2 0 0
2 3 1
1 0 1
4 3 1
0 1 4
3 4 2
3 3 2
3 0 2
10 7
2 0 2
0 1 0
2 2 0
0 0 1
1 1 0
0 2 2
0 2 0
0 2 1
0 1 1
1 1 2
10 3
4 0 1
0 1 1
2 5 4
0 4 3
1 0 5
5 0 1
4 2 3
3 2 1
4 5 5
1 1 5
10 4
1 3 3
2 3 3
0 3 1
1 3 2
2 1 0
0 1 0
3 0 3
2 3 1
0 1 3
0 2 3
10 6
4 3 0
0 3 4
0 4 3
2 1 0
4 3 1
3 3 4
4 2 1
2 0 1
0 1 4
3 3 1
10 8
4 0 2
3 3 2
0 0 2
5 4 5
5 0 0
2 2 1
3 1 4
1 3 5
2 4 5
3 4 5
10 4
2 0 1
4 3 4
2 3 1
3 2 1
0 0 3
4 0 4
4 2 0
4 4 2
0 4 4
3 0 3
10 7
1 2 0
0 1 0
0 0 1
0 2 2
0 1 2
0 2 0
1 0 1
1 1 1
1 0 2
0 1 1
10 6
2 1 2
1 2 0
2 0 2
1 1 0
0 1 1
1 2 2
0 2 0
1 2 1
1 0 2
2 1 0
10 6
1 1 4
0 3 0
4 3 2
0 2 1
1 4 3
1 2 0
1 3 3
1 4 2
1 1 1
4 4 0
10 3
5 3 0
4 2 3
5 3 4
4 5 1
5 2 4
4 2 0
1 2 1
0 2 4
1 2 3
5 2 5
10 2
3 3 0
0 0 3
0 1 2
3 0 0
2 0 3
0 1 0
2 1 2
2 3 0
0 3 3
0 2 2
10 7
3 2 0
0 2 0
0 2 2
3 0 0
2 3 3
1 2 0
3 2 2
3 0 2
2 3 0
1 2 2
10 4
0 3 3
2 3 0
2 4 4
3 0 3
4 0 4
3 3 2
2 4 0
0 2 2
4 1 0
3 0 0
10 9
0 2 2
3 2 3
1 3 2
0 3 1
1 2 1
3 3 3
0 3 3
0 0 3
2 1 3
3 0 0
10 6
4 3 4
4 0 3
3 4 2
2 0 4
2 3 2
2 1 3
4 0 0
0 4 3
1 0 2
4 4 3
10 2
0 1 1
1 0 2
0 2 2
0 2 1
2 2 1
1 2 2
1 1 1
0 1 0
1 1 2
2 0 2
10 3
0 2 1
0 2 0
1 1 1
2 2 0
2 0 2
0 2 2
2 1 0
1 2 0
1 2 1
1 2 2
10 5
2 2 2
1 2 1
1 1 2
1 2 0
0 2 0
2 2 1
2 1 0
0 1 0
1 2 2
1 0 1
10 9
2 1 4
2 1 3
0 0 1
0 3 0
0 0 4
0 2 3
4 2 0
4 0 3
3 2 0
3 3 4
10 8
1 2 3
1 0 0
0 2 3
3 1 3
3 3 2
0 2 0
3 2 3
2 0 2
2 3 3
0 0 0
10 6
3 2 5
4 1 5
4 0 5
0 3 0
2 4 4
5 2 0
4 2 3
5 0 4
4 3 4
0 5 1
10 8
0 2 2
3 2 3
0 2 0
1 2 2
2 2 3
1 3 3
2 2 2
1 0 3
2 2 0
2 1 1
10 6
4 5 2
1 1 0
3 4 5
4 2 0
0 0 4
2 3 5
2 1 5
2 3 2
3 4 3
1 4 2
10 6
3 0 0
0 3 1
4 2 1
4 0 3
0 1 1
1 3 4
1 1 2
2 4 0
4 1 2
2 0 1
10 3
0 0 5
2 4 1
3 1 3
0 1 4
5 1 1
2 1 0
4 4 5
1 4 2
1 0 0
1 1 5
10 2
2 2 2
0 2 1
0 0 1
2 0 0
1 2 1
2 2 0
1 0 2
0 1 0
0 1 2
1 1 0
10 7
3 0 1
1 3 3
2 0 0
0 2 2
2 1 0
0 2 0
2 1 1
1 0 2
1 0 1
2 0 2
10 6
1 1 0
2 4 1
0 5 0
0 4 4
0 4 3
1 4 0
3 4 4
0 2 0
5 4 3
1 4 5
10 2
2 0 0
1 0 2
1 0 0
2 0 2
0 1 1
0 0 1
2 1 2
1 2 0
1 2 2
1 1 2
10 8
1 1 1
0 2 1
1 2 0
0 0 1
0 0 0
2 1 1
0 1 0
0 2 2
2 2 2
0 0 2
10 2
1 0 3
4 4 3
0 0 4
3 1 3
1 2 2
1 4 2
1 2 3
4 1 3
1 0 1
2 4 0
10 9
2 1 2
1 2 0
0 1 0
1 1 1
2 1 0
1 0 0
2 2 1
0 0 1
1 0 1
0 2 1
10 6
2 1 4
2 4 3
0 4 0
2 0 2
2 4 2
0 0 1
4 2 0
0 3 2
3 4 1
0 0 3
10 5
3 5 2
3 5 1
3 5 4
0 2 0
2 0 4
1 3 5
2 0 0
4 5 4
0 1 2
3 0 5
10 4
0 0 1
0 2 2
0 2 0
2 2 2
0 0 2
2 0 2
1 0 1
2 1 1
0 1 0
2 2 0
10 8
2 0 1
0 1 0
1 0 1
0 1 2
2 2 0
1 0 2
1 1 2
1 1 0
2 2 2
2 0 2
10 4
3 1 0
0 0 3
2 0 3
3 2 1
1 2 2
2 0 1
2 1 3
0 0 0
1 2 1
0 2 2
10 8
1 1 2
1 2 0
0 1 0
2 0 0
2 2 1
2 0 2
0 2 2
2 1 0
1 2 2
1 2 1
10 5
0 2 1
0 0 4
0 0 3
4 0 4
2 4 4
2 0 0
2 2 3
2 0 2
3 3 0
0 2 2
10 4
1 1 4
2 2 0
3 0 2
2 1 0
1 1 2
4 1 1
4 4 3
4 1 3
0 1 1
0 2 0
10 8
0 1 1
1 3 1
2 1 3
0 2 0
2 2 0
3 1 1
0 2 2
3 3 0
1 0 0
3 0 2
10 8
0 2 2
0 2 1
1 1 1
2 0 0
0 2 0
0 0 2
0 1 1
1 0 0
1 0 2
2 2 1
10 7
0 2 2
0 1 2
4 3 0
4 2 1
0 0 1
3 2 1
0 3 1
2 3 4
4 0 0
2 4 0
10 3
0 1 0
0 2 2
0 0 0
2 0 2
2 0 1
1 2 2
0 0 1
2 1 0
1 1 2
0 0 2
10 3
3 0 3
1 1 0
0 3 1
3 2 2
4 4 2
3 0 2
3 1 0
2 1 2
2 0 2
2 1 3
10 8
3 3 0
2 1 1
2 0 0
3 2 3
0 4 3
3 1 3
1 3 2
4 4 2
3 2 2
1 1 3
10 6
2 1 1
2 3 4
3 3 4
4 1 2
2 4 3
2 1 0
3 0 4
1 3 0
3 2 2
4 3 4
10 7
0 2 2
2 3 3
3 3 0
0 1 0
2 1 0
3 0 3
1 2 0
0 1 1
1 3 1
3 1 1
10 5
3 4 4
0 0 0
0 0 3
4 4 2
1 1 1
0 0 1
1 4 0
2 0 2
1 1 0
3 1 2
10 3
0 1 1
2 2 1
0 2 0
0 0 1
0 0 0
0 1 2
1 1 0
0 2 1
1 0 0
2 0 2
10 5
0 1 0
3 1 2
3 2 2
2 2 2
3 3 3
0 2 0
3 1 0
0 0 3
3 2 3
2 0 0
10 7
2 5 1
5 3 1
0 3 0
5 3 3
4 1 1
3 1 0
1 4 3
0 2 4
5 2 5
2 0 3
10 8
3 0 5
1 2 2
4 5 0
1 1 4
4 1 4
2 4 5
2 2 0
3 5 4
4 2 4
1 0 5
10 5
3 3 3
3 3 0
2 0 0
0 1 3
1 3 0
1 2 0
2 2 3
0 1 1
2 1 3
1 3 3
10 9
2 3 1
0 4 0
1 0 2
0 2 1
1 4 2
3 3 0
0 2 4
2 0 4
2 0 1
2 0 0
10 7
1 0 1
1 2 2
0 0 1
1 2 1
2 2 1
1 1 2
2 0 1
0 2 0
1 1 1
2 0 0
10 8
3 4 0
2 0 0
3 2 0
4 4 1
3 3 3
2 4 4
0 0 0
1 3 1
0 1 1
0 1 2
10 6
2 4 4
1 2 4
3 5 2
5 5 0
3 4 4
2 3 0
4 4 3
2 0 0
4 2 4
1 3 1
10 8
4 4 0
0 3 0
1 2 0
3 0 4
3 2 3
3 0 1
0 2 3
2 4 3
4 0 0
3 4 4
10 8
1 2 1
0 0 2
2 2 2
1 1 0
1 2 0
1 2 2
1 0 2
2 0 1
0 0 1
2 2 1
10 7
3 2 3
1 3 3
2 4 0
3 1 1
0 4 4
3 0 5
2 0 1
3 0 0
0 5 5
3 1 0
10 8
1 2 1
1 2 0
1 1 4
4 1 1
2 0 4
4 3 2
0 4 0
3 4 3
2 1 4
1 0 2
10 8
1 1 1
1 0 2
2 0 4
0 2 2
0 4 2
2 1 1
4 4 2
0 1 1
1 2 1
0 3 4
10 8
0 0 0
0 2 0
1 0 0
1 0 2
1 2 2
2 1 0
0 1 1
0 0 1
1 2 0
0 1 0
10 3
3 4 4
3 0 0
2 3 4
4 3 1
3 2 3
0 3 4
4 4 0
3 2 0
4 4 2
3 0 2
10 7
0 2 0
0 4 0
3 4 2
5 4 5
0 1 4
0 3 1
2 5 4
5 4 3
3 4 0
0 0 4
10 5
3 3 2
4 3 0
4 4 2
2 2 1
1 2 4
4 2 1
0 0 2
1 4 4
4 1 4
0 3 4
10 5
2 4 0
4 1 2
4 4 1
1 4 4
4 2 4
2 4 4
2 1 3
4 3 2
4 0 0
0 2 0
10 6
1 2 1
1 3 3
3 4 3
3 4 4
2 3 1
0 3 1
3 0 4
4 4 2
1 1 3
1 4 0
10 9
0 4 3
4 3 2
4 2 3
0 2 4
3 1 0
3 4 1
2 1 1
1 2 3
1 3 3
2 2 4
10 6
1 1 2
0 1 2
1 2 2
2 0 0
2 2 2
2 1 1
2 2 0
2 1 0
0 2 0
2 2 1
10 3
1 3 1
3 3 2
2 1 3
4 0 0
2 1 1
3 1 0
3 2 2
0 0 1
2 2 0
0 4 3
10 2
1 4 4
0 3 3
5 3 5
4 5 5
2 3 5
1 0 0
3 2 1
5 1 0
4 5 0
0 0 3
10 3
5 2 5
1 0 2
1 4 4
5 4 3
4 1 4
3 1 1
0 5 3
1 0 1
1 3 3
0 0 0
10 9
1 1 1
1 5 1
4 5 4
5 5 2
4 2 5
5 4 3
1 0 1
4 1 5
4 4 1
5 3 1
10 6
5 4 0
1 1 4
1 5 4
0 3 2
1 0 0
2 4 5
1 0 2
0 0 5
2 1 5
4 2 4
10 8
1 2 3
2 2 0
4 0 2
1 0 3
1 1 3
0 2 3
3 2 2
0 3 1
2 3 1
1 3 3
10 2
2 4 2
4 4 2
0 5 4
4 4 4
0 1 2
1 3 1
3 2 3
0 4 4
3 2 4
3 3 2
10 2
0 1 2
2 0 1
2 1 1
0 2 2
1 0 2
2 1 2
0 0 0
1 0 1
2 0 2
2 0 0
10 2
3 1 0
3 3 2
5 4 3
3 2 3
3 5 5
1 0 4
1 3 5
5 1 2
4 0 5
0 1 4
10 8
5 5 1
5 2 1
0 1 4
5 4 3
0 3 1
0 4 1
3 0 3
0 5 1
5 4 4
5 2 5
10 9
2 0 0
0 0 0
0 1 0
2 1 2
2 1 0
0 2 2
2 0 1
1 1 0
0 1 1
0 1 2
10 6
3 1 1
2 4 0
4 4 3
0 2 0
3 1 3
1 4 1
2 1 0
3 4 2
4 0 0
4 4 0
10 6
4 1 2
4 3 2
2 3 2
3 4 2
4 2 2
2 2 4
0 0 4
3 2 0
1 0 2
1 2 1
10 5
2 1 1
3 2 3
1 1 3
0 3 2
3 1 1
3 1 0
2 1 0
3 1 3
3 0 0
0 2 2
10 4
4 2 0
4 2 1
1 4 3
1 0 0
3 0 4
2 1 2
0 1 0
1 0 3
4 1 4
3 3 1
10 7
3 0 0
2 2 2
4 3 0
1 3 1
2 0 4
2 3 0
1 0 3
2 2 0
0 1 1
1 1 4
10 9
2 1 1
2 3 0
0 3 2
3 3 3
0 1 2
1 2 3
2 0 1
0 0 0
0 2 0
2 0 0
10 7
2 3 4
2 2 0
0 0 3
2 0 3
2 1 0
4 4 4
3 0 2
3 0 3
2 4 2
0 3 1
10 8
0 2 2
3 1 4
2 4 2
4 1 3
1 0 2
1 4 2
4 4 1
3 1 0
2 2 1
1 1 2
10 2
0 0 2
0 2 1
3 3 1
3 2 2
0 2 2
0 3 1
3 2 1
2 0 1
1 2 3
0 1 2
10 8
2 3 0
0 1 2
0 1 1
0 1 4
3 4 1
2 3 1
1 1 3
1 0 3
0 4 2
4 3 4
10 5
3 1 0
0 4 4
3 4 1
3 1 3
3 2 2
2 4 2
2 1 0
4 1 3
1 2 1
2 3 1
10 9
2 3 3
2 0 1
0 2 0
0 0 1
1 0 0
2 2 2
0 2 1
0 3 1
0 3 0
2 2 1
10 4
1 0 2
2 2 1
2 0 1
2 0 2
1 1 2
1 1 1
0 2 1
2 0 0
0 1 1
0 2 0
10 3
3 2 3
1 3 2
2 2 2
0 3 0
1 3 3
2 0 0
0 1 3
2 2 0
1 0 0
2 2 3
10 9
1 0 3
2 1 2
0 3 1
1 3 0
0 2 1
1 2 0
3 1 0
1 2 1
0 3 0
3 1 1
10 7
0 2 0
0 0 2
2 1 2
0 2 2
1 1 2
2 2 1
2 0 0
0 1 0
1 0 2
1 0 1
10 3
5 1 0
4 1 0
2 5 3
4 0 4
0 5 4
4 0 1
5 0 3
1 3 0
1 1 4
5 3 5
10 3
0 3 0
1 3 3
2 0 3
2 1 3
0 0 1
1 0 0
2 0 2
0 1 0
2 3 0
0 0 0
10 8
2 1 2
0 0 1
2 2 0
2 0 1
0 2 1
1 0 2
2 1 1
1 2 2
0 2 0
2 2 1
10 9
1 0 1
2 1 0
2 0 1
2 1 2
1 0 0
2 0 0
1 2 1
0 2 0
0 1 2
1 1 0
10 9
1 2 3
1 3 0
1 0 1
1 3 3
3 3 2
0 0 0
1 1 0
3 3 0
0 3 0
1 1 1
10 5
2 1 0
4 2 2
5 4 0
4 0 2
0 1 0
2 0 5
5 2 0
0 2 1
4 4 1
0 4 5
10 8
4 4 0
0 0 4
0 4 4
2 3 2
1 0 2
4 3 3
1 2 4
1 4 3
3 2 2
2 0 0
10 2
1 4 0
4 2 2
4 2 0
3 3 2
3 0 0
4 1 0
3 2 3
2 3 0
3 1 2
4 3 0
10 5
0 0 1
3 2 3
0 3 2
3 1 0
2 1 0
2 2 3
0 3 3
2 3 2
3 0 1
3 3 2
10 5
0 0 1
1 3 4
0 4 3
2 3 3
4 1 0
2 1 4
2 2 1
1 0 0
2 2 2
4 0 1
10 8
0 1 0
3 1 1
0 2 3
2 3 0
2 0 0
3 1 3
3 3 2
0 0 1
2 1 2
1 2 2
10 3
0 3 3
3 1 1
2 3 1
2 0 1
1 1 1
1 2 2
3 3 2
0 3 2
1 3 2
1 0 1
10 6
4 0 1
1 1 1
0 4 3
1 1 2
4 4 2
4 1 2
2 3 1
4 2 2
1 2 3
1 3 4
10 4
2 4 0
3 1 0
0 5 0
0 3 5
0 3 2
2 4 3
3 5 1
2 1 2
0 5 5
5 3 2
10 9
1 1 0
0 2 1
0 0 0
2 0 0
2 2 0
2 1 2
0 2 0
1 0 1
2 2 1
0 0 1
10 6
4 0 0
3 3 1
0 4 1
1 2 1
4 0 4
1 1 0
0 1 3
4 3 4
3 4 1
3 2 2
10 9
1 3 3
2 1 0
1 0 3
1 1 2
2 3 2
0 2 0
0 0 1
3 2 0
1 3 2
2 3 1
10 6
4 3 1
2 4 0
0 1 0
3 0 2
0 2 0
0 0 1
3 2 0
3 1 0
0 2 3
1 2 4
10 2
3 1 3
2 3 0
0 3 1
1 1 1
1 0 0
1 2 3
2 2 1
1 1 2
0 1 1
3 0 3
10 5
0 0 0
2 1 2
1 1 0
0 1 0
2 2 0
1 0 2
1 1 2
0 1 1
0 0 1
0 0 2
10 9
1 1 1
4 4 3
3 2 5
3 3 2
0 1 2
1 1 2
1 5 5
5 5 3
4 1 4
0 2 0
10 2
3 0 1
0 0 5
0 2 4
2 5 3
0 3 0
2 3 3
5 3 1
4 5 4
3 4 4
3 0 5
10 3
1 1 1
4 3 4
4 2 3
4 4 1
1 3 2
3 1 3
1 4 1
4 0 3
2 4 2
4 4 2
10 4
3 1 2
2 2 3
2 2 2
1 1 0
2 3 3
1 3 2
0 0 3
3 0 0
2 0 1
1 3 3
10 3
2 1 2
2 2 0
1 2 0
0 0 1
2 0 2
1 1 2
1 0 2
1 0 1
1 1 1
0 0 2
10 9
3 3 0
2 2 3
2 1 1
1 3 1
0 2 3
2 0 1
1 0 1
2 3 0
1 3 2
0 0 2
10 8
3 3 2
4 3 2
4 4 2
0 0 3
2 4 4
1 0 1
3 1 3
2 2 2
0 2 0
2 0 3
10 4
3 5 3
2 1 0
3 5 4
3 3 4
0 4 1
3 0 3
3 4 4
0 0 3
2 1 4
1 2 1
10 8
2 4 3
4 0 3
3 0 4
4 4 3
1 2 2
2 4 4
4 1 0
2 0 3
3 3 0
3 1 4
10 3
1 2 2
0 0 0
1 2 4
4 0 3
0 1 3
4 3 4
2 2 4
0 2 0
2 0 2
2 1 1
10 2
5 4 4
5 4 0
0 3 4
1 2 3
5 1 1
1 1 4
2 5 4
0 0 4
5 5 3
5 2 4
10 8
0 1 2
2 2 2
2 0 1
2 0 2
0 0 2
1 0 1
0 1 1
1 2 2
2 2 0
1 0 2
10 4
1 1 2
1 1 3
3 1 3
2 2 4
1 4 0
4 3 4
3 0 4
4 2 4
0 0 4
0 3 2
10 2
1 0 2
1 1 0
1 2 1
1 0 0
0 1 2
0 1 1
1 1 1
2 1 0
2 2 0
1 0 1
10 9
2 5 1
4 0 1
5 5 0
5 3 1
4 5 1
4 4 0
3 3 3
0 2 0
2 5 0
2 5 3
10 7
0 1 1
1 0 1
1 1 0
2 0 2
0 0 2
1 0 2
1 1 1
0 2 2
0 0 0
1 1 2
10 7
4 2 2
4 0 3
2 1 1
4 1 1
3 0 2
2 0 1
0 3 3
4 3 4
4 0 1
4 1 3
10 5
2 1 4
2 0 3
4 4 0
0 1 0
1 0 0
0 3 4
4 1 3
4 3 0
2 0 2
1 2 3
10 3
1 4 3
1 1 0
2 3 2
4 1 2
3 3 2
0 0 3
2 4 3
2 4 4
2 0 0
1 3 2
10 6
1 1 5
1 0 2
5 4 1
2 0 5
0 4 4
4 2 0
4 0 2
3 0 1
5 0 4
1 5 1
10 3
3 4 5
1 0 3
5 1 1
4 5 3
4 0 2
4 4 2
1 4 0
2 5 5
0 4 2
3 2 5
10 7
1 2 3
3 0 2
4 1 2
0 4 3
1 4 5
3 2 2
5 2 0
4 4 4
0 3 5
1 2 5
10 6
3 3 4
1 1 3
1 3 4
2 4 0
3 4 2
1 4 1
4 2 3
4 0 1
1 4 0
1 1 2
10 8
1 2 2
2 2 3
1 2 3
0 1 3
3 2 0
3 1 3
2 3 3
2 0 1
3 0 2
0 0 1
10 3
0 2 2
1 2 0
0 0 2
0 2 0
0 1 1
0 1 2
1 1 1
1 1 2
0 2 1
1 1 0
10 6
2 1 1
0 0 1
0 1 0
2 0 1
2 0 2
0 0 0
2 1 0
0 1 2
1 1 1
1 0 1
10 8
3 5 2
4 0 2
1 0 1
3 5 4
0 0 0
3 2 3
3 4 1
2 1 3
0 4 4
0 2 5
10 2
3 3 0
3 4 4
4 0 4
3 2 5
0 4 2
0 1 2
3 0 4
1 2 3
3 5 2
1 1 2
10 2
1 0 3
1 2 1
1 3 3
0 2 2
1 1 1
1 1 3
2 3 0
0 1 2
2 0 0
2 2 1
10 6
0 0 0
0 1 2
0 2 1
1 1 0
1 0 0
2 0 2
2 0 0
1 0 1
0 2 0
1 1 2
10 7
3 3 3
2 2 3
2 1 0
1 3 2
3 0 3
1 1 1
1 0 2
3 0 1
3 1 1
2 0 0
10 5
0 0 2
0 4 4
0 3 3
4 0 0
2 0 1
0 1 2
0 1 1
2 4 4
1 1 0
1 0 1
10 7
3 4 2
1 3 4
2 4 3
4 4 2
4 0 1
1 2 3
3 2 4
4 2 3
1 1 3
2 2 3
10 5
1 1 1
4 2 4
2 1 0
3 3 2
1 0 0
0 0 3
2 4 2
3 4 3
2 2 1
1 4 4
10 4
1 1 1
2 0 1
0 2 0
1 1 2
0 1 1
2 2 0
0 0 0
0 0 1
0 1 2
2 1 1
10 7
2 1 2
2 5 3
2 2 3
0 3 1
1 2 3
2 5 4
1 0 0
4 2 4
3 2 1
4 1 3
10 2
2 2 3
1 4 5
2 1 3
2 4 3
5 3 4
3 0 5
1 3 3
1 1 4
1 0 1
3 0 2
10 7
0 0 1
1 0 3
0 3 1
1 1 0
3 1 3
0 2 3
1 1 1
1 1 3
3 0 0
3 2 1
10 8
1 2 0
2 1 1
2 0 0
2 1 2
0 0 0
2 2 0
1 1 2
0 1 1
0 0 1
0 1 0
10 9
4 0 1
1 0 0
3 5 2
3 5 4
5 5 0
5 1 0
3 3 1
4 2 0
2 0 3
1 4 0
10 5
2 2 2
1 2 2
0 2 0
0 1 2
2 0 1
1 1 0
1 1 2
2 0 0
0 2 1
0 0 1
10 8
3 2 4
0 4 2
0 1 3
2 0 3
0 0 3
0 3 4
3 1 3
3 0 2
3 4 3
4 0 3
10 7
5 5 3
2 0 4
2 2 3
5 1 2
3 2 5
1 0 5
5 3 0
2 3 3
1 4 0
0 4 5
10 9
3 3 3
0 0 3
1 0 2
3 0 3
3 0 1
0 2 1
3 2 2
0 2 0
1 0 3
0 2 2
10 5
1 3 0
3 5 2
3 4 3
2 1 5
3 4 0
0 4 2
1 5 2
5 4 2
3 1 0
2 0 2
10 5
3 0 1
2 1 0
0 2 2
3 0 2
3 3 2
2 1 1
1 0 2
2 3 1
0 2 1
1 0 3
10 6
3 1 2
2 0 2
3 0 0
1 2 1
1 1 3
3 3 3
0 0 2
1 0 1
0 2 3
0 3 3
10 5
0 3 0
1 0 2
2 0 3
2 1 3
0 0 1
2 2 2
1 1 2
1 3 1
0 2 1
3 1 3
10 8
0 2 2
2 2 0
2 0 2
1 1 2
2 0 0
1 1 0
2 0 1
0 0 0
0 2 0
2 1 1
10 4
4 3 5
5 1 2
1 5 5
2 3 4
0 2 4
0 1 1
2 1 3
4 2 0
5 0 2
2 1 4
10 3
2 2 4
3 3 0
4 4 3
2 1 0
4 1 1
3 1 1
4 3 3
2 2 2
4 2 2
3 1 4
10 8
2 2 2
0 3 3
0 3 2
0 3 1
1 2 1
3 0 1
0 0 3
3 3 2
1 2 0
1 0 3
10 7
1 2 4
3 4 3
4 3 3
3 1 4
2 4 0
4 4 4
3 1 3
2 0 0
4 1 3
4 4 0
10 2
1 1 3
1 1 0
1 0 4
0 0 1
4 1 4
1 3 1
0 3 0
2 2 1
2 1 1
2 2 4
10 9
0 1 0
1 2 3
1 1 4
0 4 3
1 4 3
2 0 0
2 2 1
1 2 2
3 0 4
1 1 3
10 7
2 4 3
0 2 4
1 2 0
5 0 0
3 3 2
2 0 5
5 4 2
3 3 0
3 1 5
1 3 2
10 4
2 2 3
2 0 1
1 3 2
1 4 1
0 0 2
4 3 1
0 4 0
2 1 3
1 2 3
4 0 0
10 4
5 2 4
4 4 5
0 3 1
1 5 0
5 4 0
3 4 1
2 2 0
4 2 3
1 5 2
2 5 5
10 5
3 5 1
5 2 5
5 4 4
5 0 1
5 2 4
1 5 4
4 5 1
1 4 0
2 3 2
2 2 2
10 5
0 0 2
4 4 0
2 4 4
1 0 3
1 2 4
2 3 3
0 1 4
0 0 3
3 3 0
2 4 3
10 7
1 1 3
2 0 2
2 3 2
2 3 1
3 1 1
1 1 2
1 1 0
2 0 0
3 0 0
0 3 0
10 3
0 0 1
2 3 1
4 4 2
1 2 1
2 0 4
1 0 3
0 3 3
4 4 3
3 3 1
0 4 0
10 5
1 2 1
2 2 2
0 2 1
2 1 0
1 0 1
1 2 2
0 0 1
2 0 0
0 0 2
1 0 0
10 7
0 0 4
3 3 1
3 4 3
2 0 0
4 4 0
3 0 3
0 3 0
4 0 2
1 0 4
3 2 4
10 3
2 2 1
1 4 0
1 1 4
2 4 4
0 1 4
2 1 3
2 2 4
3 0 1
0 2 3
2 0 0
10 4
5 2 1
0 1 1
5 5 4
4 3 1
1 0 2
1 3 5
0 2 1
5 4 2
3 5 1
3 0 4
10 6
0 0 0
4 3 0
0 0 2
2 3 4
3 3 2
4 3 2
1 0 4
0 3 3
0 0 3
3 1 0
10 7
2 1 1
0 2 0
0 0 2
0 0 1
0 2 2
1 1 1
2 0 0
2 0 2
2 0 1
1 1 0
10 6
0 2 2
2 2 0
2 1 1
2 2 2
2 2 1
1 1 2
0 1 1
1 3 3
1 3 2
3 3 3
10 3
2 2 2
0 2 1
1 2 0
2 1 1
2 0 1
0 0 0
1 1 0
0 2 2
1 0 2
2 2 1
10 7
0 0 0
1 2 0
1 1 0
0 0 2
1 0 0
0 1 2
0 2 0
0 0 1
1 2 1
2 1 2
10 3
0 1 0
2 4 2
4 1 2
3 3 1
1 3 4
2 0 0
1 2 3
3 3 0
0 1 4
0 2 3
10 9
1 2 0
0 0 2
0 1 1
0 0 3
1 1 1
0 2 3
3 1 0
3 3 2
3 1 3
0 0 0
10 3
0 1 2
2 2 1
2 0 1
1 2 1
0 2 0
2 0 0
2 2 0
0 0 2
0 0 0
1 0 1
10 2
2 2 2
0 2 0
1 2 2
2 1 2
1 0 2
1 2 1
2 2 1
2 1 0
0 0 2
1 1 0
10 6
1 0 2
1 3 0
3 0 0
1 1 1
3 0 2
2 2 0
1 0 3
0 3 0
0 3 1
1 3 3
10 8
3 3 0
0 1 3
1 2 2
1 0 1
3 3 2
3 0 0
2 1 3
0 3 3
1 0 3
1 2 3
10 5
1 2 0
1 0 0
2 0 0
0 0 2
0 2 0
2 0 1
0 2 1
1 1 0
2 1 1
0 1 1
10 9
5 5 3
3 2 3
0 2 2
4 0 5
3 3 0
2 0 1
4 3 1
1 3 1
5 4 1
3 5 3
10 6
0 2 0
1 0 1
3 1 1
1 1 0
3 1 0
0 3 0
0 3 2
3 0 1
3 3 0
2 0 1
10 9
2 0 0
0 2 2
0 0 2
1 1 1
0 2 1
2 0 1
1 2 2
0 1 1
2 2 0
0 2 0
10 8
2 0 2
0 1 0
1 2 1
2 1 1
3 0 1
0 2 3
0 3 2
1 0 2
0 0 2
3 0 2
10 2
1 1 0
2 2 0
2 3 3
3 2 1
0 2 3
2 0 3
1 3 1
1 2 1
1 0 1
1 1 1
10 6
0 0 2
0 2 0
1 2 1
0 1 0
0 2 2
2 0 2
1 1 2
0 2 1
0 1 2
1 1 1
10 3
2 0 1
3 3 5
3 2 5
1 3 2
5 4 0
4 0 1
5 2 0
4 5 1
4 5 4
2 5 2
10 5
0 3 2
4 2 2
4 4 3
1 2 1
1 0 4
0 1 3
4 3 4
3 3 0
0 4 1
3 3 3
10 4
1 2 2
2 3 2
1 1 2
2 1 0
3 0 0
0 2 3
3 1 0
0 0 0
1 0 1
0 2 1
10 7
2 1 2
1 2 1
1 0 1
2 2 1
0 2 1
0 0 0
0 2 2
2 2 0
1 1 1
0 1 1
10 6
1 1 0
2 1 2
2 3 2
3 2 2
2 1 1
0 2 3
1 2 0
3 0 1
3 0 2
3 1 1
10 7
1 1 1
2 2 2
0 0 2
0 2 2
2 1 1
1 0 2
1 0 0
1 2 0
0 1 0
2 1 0
10 6
3 3 0
5 1 3
1 5 2
0 2 2
4 4 2
3 1 1
5 4 5
3 3 3
1 3 2
0 3 4
10 5
4 3 0
0 1 1
4 0 1
1 1 4
4 1 3
0 0 1
2 0 3
0 2 0
2 1 3
3 1 0
10 9
1 1 0
3 3 3
0 0 2
0 2 3
2 3 3
2 2 1
3 2 0
3 3 1
1 1 1
1 1 2
10 5
5 1 5
4 0 3
3 0 1
1 3 2
3 1 4
2 4 2
0 5 0
3 3 0
4 5 2
1 0 1
10 3
3 1 0
4 3 0
2 1 3
0 3 1
5 0 2
4 0 3
2 0 5
4 3 5
3 0 4
0 1 1
10 6
5 3 1
3 1 5
2 3 5
1 1 0
1 4 1
4 2 5
0 3 4
1 0 4
1 2 4
5 3 5
10 2
0 2 0
0 1 0
0 1 2
2 0 2
0 0 2
1 2 1
2 0 1
1 1 0
2 2 1
1 0 0
10 3
2 1 1
2 0 0
0 2 2
1 2 0
2 2 1
1 0 1
1 1 0
0 0 2
0 2 1
2 0 1
10 5
0 4 4
2 4 2
0 4 0
4 1 0
2 3 0
4 2 3
4 1 3
1 2 4
4 3 4
1 3 0
10 9
0 2 4
0 0 1
3 1 3
4 3 4
1 4 3
3 4 2
3 4 3
2 1 1
0 1 1
0 3 0
10 9
0 0 1
1 0 1
2 1 1
1 1 1
2 2 2
0 2 1
1 2 2
1 2 1
2 2 0
0 2 0
10 2
1 0 0
2 2 0
1 3 2
0 0 1
0 2 3
0 3 0
0 3 3
3 1 2
3 1 0
2 1 0
10 5
0 0 4
3 4 0
4 1 1
3 2 3
2 0 4
1 3 0
2 4 4
0 4 0
4 1 4
4 2 3
10 2
1 1 1
0 2 0
0 2 2
1 2 2
2 2 0
2 1 0
1 0 1
2 0 2
2 2 2
0 1 0
10 8
1 3 4
4 2 3
2 1 1
4 0 4
2 4 1
0 1 4
0 4 4
1 1 1
0 2 4
3 3 2
10 5
5 1 1
2 2 3
1 3 2
2 2 4
2 1 5
1 4 4
0 3 2
0 0 5
0 4 2
4 5 3
10 5
1 2 2
3 4 4
4 4 2
1 0 4
0 2 1
3 4 0
0 3 1
4 1 4
0 1 1
1 3 3
10 8
4 1 0
1 1 2
5 2 2
2 4 4
2 1 5
5 0 0
5 0 4
1 4 4
4 2 2
3 1 3
10 3
1 1 0
2 1 0
2 2 0
2 1 2
2 0 2
1 1 2
2 2 2
0 2 2
0 0 1
1 2 0
10 9
0 2 2
2 2 1
1 0 3
1 0 1
2 0 3
2 2 3
0 0 0
1 1 3
3 3 0
0 3 1
10 3
0 1 1
3 1 0
0 2 1
3 0 3
0 2 0
0 2 2
1 0 0
1 2 0
1 2 2
0 2 3
10 2
1 2 2
1 5 1
5 5 0
5 4 1
5 0 5
4 3 5
2 0 1
5 1 0
1 0 5
2 5 0
10 9
2 2 1
1 1 1
1 1 0
0 2 1
2 1 0
2 2 2
2 0 0
0 2 0
1 0 0
0 2 2
10 2
0 0 3
3 2 0
1 3 1
3 1 3
3 3 2
3 2 1
2 2 1
2 0 0
1 1 1
3 0 1
10 5
5 3 1
2 4 4
3 4 1
4 3 0
2 5 4
5 5 2
3 5 4
5 3 0
0 3 2
0 0 2
10 6
2 1 1
0 1 1
0 2 0
0 0 1
2 1 0
1 2 2
0 2 1
0 0 2
2 2 1
2 0 2
10 5
4 4 1
4 0 0
1 2 3
3 1 1
1 4 1
3 0 3
1 1 2
4 2 4
1 2 1
3 1 3
10 4
0 2 3
1 2 2
0 3 1
1 0 2
0 0 5
4 3 1
2 3 4
3 5 3
2 3 0
2 4 4
10 3
2 4 3
4 4 2
3 0 1
4 1 3
4 1 0
0 1 3
2 2 2
0 1 4
1 2 0
0 3 1
10 6
1 3 0
2 2 3
0 1 1
2 3 0
0 1 0
3 3 2
0 0 3
0 3 1
2 0 3
1 1 2
10 7
0 0 0
2 1 1
1 2 0
2 2 0
2 1 2
0 0 2
0 1 2
1 2 1
2 1 0
0 0 1
10 8
3 1 0
0 1 0
3 1 1
2 3 3
4 1 4
1 0 1
3 2 2
1 1 1
3 4 0
2 2 3
10 8
3 0 2
1 3 3
1 3 5
3 5 2
3 4 4
2 1 4
2 2 5
5 4 3
2 5 5
4 1 3
10 2
1 4 4
4 3 0
2 4 4
3 1 0
0 2 5
1 1 1
3 4 2
2 0 0
5 2 1
3 0 5
10 6
0 1 0
0 2 0
0 1 2
2 2 2
2 0 0
2 1 0
0 2 1
1 1 0
2 0 2
1 1 2
10 6
0 0 0
1 1 2
2 2 0
0 0 1
0 2 1
0 1 2
2 0 0
2 2 1
2 1 0
1 1 0
10 9
1 2 0
2 0 0
2 2 1
1 1 0
1 0 2
0 1 0
2 1 0
1 1 1
0 0 0
2 2 2
10 4
0 1 2
2 0 2
0 1 0
1 1 2
0 2 1
1 2 1
1 0 1
1 1 1
0 1 1
0 0 1
10 9
3 2 2
3 1 0
3 1 1
2 2 2
0 3 1
1 3 2
0 2 0
0 2 2
0 0 3
3 3 2
10 3
4 1 4
3 0 0
4 1 3
3 4 3
0 2 1
3 0 2
1 1 2
1 2 3
2 1 1
0 1 4
10 7
5 1 4
5 2 4
0 0 1
0 4 0
0 5 1
3 3 4
5 4 2
2 5 4
3 4 2
2 1 4
10 6
3 4 1
0 4 0
4 0 1
2 0 2
3 1 1
3 3 1
0 4 1
1 2 0
1 3 4
0 2 0
10 5
4 5 3
5 5 3
4 3 3
1 1 3
5 1 2
1 0 3
2 2 0
3 4 5
0 0 4
3 5 0
10 2
0 3 2
3 1 0
3 3 4
1 2 0
2 4 2
2 4 0
4 1 3
1 0 2
2 2 1
1 3 3
10 8
0 0 2
3 4 3
4 3 2
1 3 0
1 0 0
2 3 0
4 2 0
0 0 1
0 0 0
2 3 2
10 2
2 2 2
0 2 2
2 1 0
2 2 1
0 0 1
1 1 2
1 2 2
1 0 2
3 1 1
2 2 3
10 9
1 0 3
2 1 2
1 3 3
3 1 0
3 3 1
3 1 1
2 2 3
0 3 1
0 3 0
2 0 0
10 6
1 1 2
2 0 0
2 2 0
1 2 2
2 0 2
1 1 1
0 0 2
2 1 0
1 0 0
1 2 1
10 4
0 0 1
2 3 0
3 0 2
2 0 1
0 3 2
3 0 0
1 1 2
0 1 3
1 3 1
0 2 3
10 7
1 1 0
2 3 0
3 2 3
1 1 1
3 0 2
2 3 2
1 3 2
3 3 0
1 2 2
2 2 3
10 3
0 3 0
4 1 4
1 4 3
2 0 0
1 0 2
4 1 0
1 0 4
1 1 1
3 2 3
0 2 0
10 6
0 0 3
4 5 0
2 5 3
4 4 1
0 4 5
4 4 0
4 5 5
3 5 5
4 5 4
5 0 0
10 4
1 0 3
2 1 1
2 0 1
0 0 2
3 3 0
0 2 1
3 1 0
0 3 2
1 0 0
3 2 3
10 6
2 1 2
1 2 0
1 0 0
0 1 0
1 2 2
2 2 1
0 1 2
1 0 2
2 2 0
0 2 2
10 7
1 2 3
2 2 1
1 1 2
2 3 1
3 1 2
1 1 1
3 1 0
2 2 0
2 3 0
3 3 1
10 8
0 1 1
2 2 1
0 2 0
0 2 2
2 1 1
0 0 1
0 2 1
1 2 1
1 0 1
0 1 2
10 4
0 2 1
2 1 2
2 2 1
2 0 0
0 2 2
1 2 0
2 1 0
1 2 1
0 2 0
2 1 1
10 3
1 3 5
4 5 1
5 4 2
4 2 5
0 3 0
3 0 4
0 2 3
2 3 0
1 4 5
1 0 1
10 8
4 4 4
4 4 2
0 1 4
2 2 2
2 1 2
2 3 1
3 2 1
3 0 1
2 4 3
0 4 4
10 4
2 2 3
1 0 0
3 0 2
0 0 3
1 1 0
2 1 0
1 1 1
3 2 1
2 3 3
1 1 3
10 5
2 1 1
2 2 3
2 0 3
3 1 4
4 2 2
3 0 3
0 1 3
3 0 2
0 2 2
2 3 1
10 7
4 1 5
1 4 5
5 5 2
1 5 5
4 4 4
3 3 0
1 0 3
5 1 2
1 0 4
1 2 1
10 3
3 0 2
0 0 4
4 1 3
2 4 2
4 3 1
4 0 0
3 2 3
1 1 3
4 3 4
3 3 4
10 4
2 3 1
3 3 1
1 0 1
3 2 2
0 2 2
1 2 0
2 0 2
2 1 0
3 1 1
1 2 1
10 7
2 3 3
2 2 1
1 0 1
1 2 3
0 1 3
3 3 3
0 2 0
3 1 2
1 2 2
2 2 0
10 3
0 1 1
1 2 2
3 4 2
3 2 5
3 1 4
0 4 3
0 1 4
4 3 1
0 5 0
4 5 0
10 8
1 2 0
1 1 1
1 2 1
2 2 1
2 0 2
0 2 2
1 0 0
0 2 0
1 1 0
2 1 0
10 3
2 1 0
2 0 2
4 3 3
0 0 3
0 3 1
0 0 4
0 2 2
2 3 2
0 4 3
3 2 1
10 2
1 1 0
2 2 1
0 2 1
0 0 2
0 2 0
1 2 1
0 0 1
0 0 0
0 1 2
1 0 0
10 8
0 2 0
1 0 0
0 0 2
1 2 0
2 0 1
1 1 2
0 2 2
1 1 0
0 1 0
2 0 2
10 8
4 3 0
0 3 3
1 3 4
0 3 1
5 4 4
0 1 3
3 3 3
1 1 3
5 3 4
2 3 0
10 6
1 0 0
3 1 0
1 0 2
1 3 2
0 2 3
1 3 3
3 1 3
2 1 2
2 0 3
0 2 0
10 5
2 0 2
4 1 0
4 1 4
4 2 0
3 4 1
1 1 0
5 5 2
4 3 1
2 0 3
1 3 2
10 4
0 1 4
3 0 2
2 3 2
1 4 0
2 3 4
1 2 4
0 1 2
4 1 1
4 1 4
3 0 3
10 2
4 0 0
0 2 2
3 2 1
2 3 4
4 2 3
0 0 2
3 2 4
2 1 1
3 1 2
2 1 2
10 5
0 0 0
3 1 0
4 2 3
0 3 1
1 1 0
3 0 2
1 0 2
2 3 0
0 1 2
2 3 3
10 6
1 1 1
2 0 2
2 0 0
0 0 2
1 1 0
0 2 1
0 2 0
2 2 1
0 2 2
1 0 1
10 2
4 1 0
4 5 4
5 0 4
4 4 2
0 3 4
2 2 2
1 4 3
2 5 1
0 1 4
5 0 2
10 2
0 1 0
2 2 2
2 1 0
2 0 2
2 2 0
0 2 2
1 1 2
1 2 1
2 0 0
0 1 2
10 9
3 3 4
1 2 3
3 5 2
4 1 0
5 0 5
3 5 3
0 2 0
1 4 5
3 1 0
4 3 3
10 8
4 4 0
2 3 3
4 3 0
2 3 0
2 2 3
3 2 1
1 0 3
0 4 0
0 0 4
1 0 0
10 6
3 2 3
4 3 2
4 4 4
2 3 2
4 0 0
2 4 0
1 0 1
1 0 0
1 4 0
4 1 4
10 3
2 1 2
1 0 1
1 2 2
2 1 0
2 0 1
2 2 1
1 1 0
1 2 0
0 2 0
2 2 0
10 3
2 5 0
3 1 4
2 0 1
2 1 2
3 3 0
2 5 5
5 2 4
1 0 0
2 1 5
5 5 3
10 6
2 0 3
1 2 3
5 2 5
2 1 3
4 4 1
2 5 5
1 0 3
4 3 5
0 0 0
5 0 3
10 3
0 1 2
2 3 3
0 1 3
1 0 0
1 2 1
1 0 2
3 2 1
2 3 2
1 3 1
1 1 1
10 6
2 1 3
1 3 3
2 0 2
1 0 1
1 1 1
3 1 1
3 0 1
3 1 0
3 0 3
2 2 2
10 8
1 3 0
3 3 1
0 0 0
0 3 2
3 1 3
1 1 3
3 0 3
3 0 1
2 2 1
2 3 0
10 3
2 0 0
1 0 1
0 2 1
2 2 2
0 1 1
1 2 0
0 2 0
2 1 2
0 2 2
2 0 1
10 7
1 0 1
0 0 0
0 3 0
2 1 1
2 2 3
2 4 3
3 3 2
4 4 4
2 1 4
1 2 2
10 5
3 0 4
1 2 0
2 0 5
3 1 5
0 5 2
4 4 0
2 2 2
1 1 0
3 2 1
2 1 3
10 9
4 4 1
3 4 2
0 1 2
0 4 4
1 3 4
1 0 1
4 3 4
3 2 1
0 0 0
4 0 4
10 6
4 0 3
2 3 4
1 4 4
1 1 0
2 1 4
3 3 4
0 0 3
1 4 2
4 4 4
3 3 0
10 9
3 1 1
3 3 2
2 3 3
0 0 1
3 1 3
2 3 2
1 0 3
0 2 0
2 2 2
3 2 1
10 7
0 4 1
4 1 0
0 4 4
1 4 4
3 3 1
0 2 1
0 2 2
0 0 1
2 1 3
1 1 0
10 3
1 3 2
2 2 4
1 2 2
0 4 0
2 1 4
4 1 3
0 3 0
1 1 1
3 0 3
3 4 1
10 4
0 0 1
3 3 0
0 1 0
1 0 3
0 2 3
1 3 1
1 1 0
1 3 0
3 1 0
1 1 1
10 6
1 2 2
0 1 2
2 1 0
1 1 0
2 2 1
0 0 2
2 2 0
0 1 0
0 2 0
2 1 2
10 5
1 2 1
2 1 0
2 0 2
0 0 0
0 2 0
1 2 2
1 0 0
2 2 1
2 2 0
2 1 2
10 5
2 0 0
1 2 0
0 0 0
0 1 2
2 0 1
1 1 2
1 2 2
0 2 2
1 0 2
2 2 2
10 5
1 1 1
2 0 1
0 2 0
1 2 1
1 0 1
2 0 2
2 2 1
0 2 2
1 2 2
1 1 2
10 3
4 3 1
2 5 0
1 5 3
1 1 1
4 5 4
3 2 3
3 3 2
3 0 4
2 4 4
1 1 2
10 4
0 1 4
4 3 1
0 4 1
1 0 4
2 3 0
2 0 4
0 4 3
4 0 0
1 1 3
1 3 3
10 4
0 2 0
3 1 0
0 3 2
4 2 1
3 4 1
2 2 0
1 1 4
4 1 0
2 2 1
4 0 4
10 9
3 0 3
2 3 1
3 1 2
3 3 3
0 1 3
3 3 2
3 1 3
0 0 3
2 1 2
0 1 1
10 3
3 2 2
0 5 2
5 4 2
2 3 5
2 4 0
3 3 1
2 1 0
1 2 5
4 5 1
1 0 1
10 7
0 3 3
0 1 3
3 3 3
2 3 0
3 0 3
3 3 2
1 3 2
0 1 2
0 2 1
0 3 1
10 4
4 1 0
1 2 3
0 4 3
2 2 4
0 1 0
1 2 0
1 3 4
0 3 1
2 0 0
4 2 2
10 8
2 3 1
1 2 2
2 1 1
0 3 2
0 2 3
0 0 0
1 3 1
2 0 1
3 2 3
0 0 2
10 9
2 4 4
1 1 2
3 4 3
2 0 0
1 0 3
0 3 2
0 0 4
0 1 0
3 0 0
4 0 2
10 7
2 2 0
3 3 0
3 3 2
1 1 1
2 3 0
1 2 3
2 0 0
1 3 1
1 1 2
1 0 1
10 8
4 2 3
3 1 3
2 2 4
3 4 3
0 4 4
4 0 4
4 4 1
1 4 1
1 4 3
0 4 3
10 5
2 3 2
1 0 2
3 1 3
1 1 2
2 2 1
3 3 0
3 3 3
1 1 0
2 1 1
0 1 0
10 9
0 2 0
3 2 1
0 0 2
3 3 3
1 1 1
0 1 2
3 1 1
1 0 0
2 2 3
3 3 2
10 4
3 0 3
1 2 2
1 3 1
2 2 2
0 2 0
1 1 0
3 1 3
2 0 2
2 2 1
0 2 3
10 6
1 0 2
4 1 3
0 3 1
4 2 4
4 0 4
3 2 0
4 4 3
0 2 2
2 3 0
1 0 3
10 2
4 4 3
1 0 4
4 2 5
1 2 4
3 3 4
2 5 5
3 3 3
4 0 1
2 4 5
0 4 1
10 4
1 1 1
1 2 1
4 2 1
0 0 1
1 0 1
3 1 2
4 3 0
2 4 0
1 4 2
1 0 3
10 9
2 2 1
1 1 2
0 0 0
2 0 1
2 1 2
1 0 2
1 0 1
2 1 1
2 1 0
1 0 0
10 8
1 0 1
2 2 0
1 0 2
1 2 2
2 2 2
2 1 0
2 0 1
0 1 2
1 1 2
0 0 2
10 2
2 1 3
1 2 3
2 0 3
3 1 3
3 3 3
0 2 0
0 2 3
3 0 2
1 3 2
2 2 1
10 2
2 0 5
0 5 4
1 1 1
3 2 3
0 1 2
4 3 2
5 3 5
5 0 2
2 5 2
5 5 1
10 8
2 5 0
3 3 3
5 5 1
0 5 4
1 4 3
1 5 5
2 0 5
5 2 4
1 0 4
1 2 4
10 3
4 1 4
1 1 0
2 1 4
1 2 0
3 2 3
2 0 2
4 4 0
4 2 1
1 2 4
2 2 2
10 8
4 4 0
0 2 2
1 1 4
2 2 2
0 4 1
0 0 2
3 4 1
3 2 4
3 1 2
4 2 0
10 4
0 1 1
1 0 2
0 2 1
2 1 0
1 2 0
1 2 2
0 0 1
2 2 2
0 0 2
1 0 0
10 6
1 0 2
1 2 1
0 1 2
4 4 5
4 4 2
3 5 2
5 4 1
2 1 2
3 4 4
1 0 1
10 4
1 2 3
4 4 4
3 3 0
2 4 5
0 2 0
0 5 2
1 1 3
0 2 5
5 3 1
4 4 5
10 5
0 1 1
1 1 2
1 2 0
2 0 2
1 2 1
2 2 2
0 0 2
0 2 1
1 1 1
1 0 2
10 3
4 0 1
0 2 5
4 2 0
3 5 1
0 4 5
3 2 4
5 2 2
1 0 4
3 0 3
2 5 1
10 7
3 4 1
4 0 4
0 3 1
1 4 1
1 4 4
0 3 4
0 4 1
0 3 2
4 3 4
3 0 0
10 4
2 1 0
2 2 0
2 0 1
1 1 1
1 1 2
0 2 1
0 2 2
1 2 0
1 2 2
2 2 1
10 4
2 3 0
2 2 2
2 3 1
3 1 1
1 0 0
1 3 2
3 2 1
0 2 1
1 2 3
2 0 3
10 8
2 1 0
1 2 3
0 1 3
0 3 2
0 0 0
3 3 3
0 2 3
1 0 3
3 1 0
0 3 3
10 8
4 2 3
0 3 3
0 4 4
1 2 4
1 0 2
4 3 1
1 4 3
2 4 3
5 1 4
2 4 4
10 6
2 2 2
0 0 2
1 0 0
1 1 0
0 1 1
2 1 1
0 2 1
1 0 1
1 0 2
0 0 0
10 9
1 1 0
0 3 3
0 1 0
3 3 2
0 1 1
3 3 3
2 2 3
2 1 3
2 0 1
3 1 0
10 3
1 4 1
2 1 3
4 2 0
0 4 1
0 4 2
3 4 0
1 4 0
4 0 0
3 2 3
3 4 3
10 5
1 1 3
0 0 0
2 2 2
0 2 1
2 3 0
3 2 2
3 0 1
1 2 2
3 0 2
3 1 0
10 2
1 2 1
5 1 5
4 2 1
3 3 3
1 4 2
3 5 3
3 2 1
0 1 5
4 2 4
1 0 3
10 6
1 2 1
1 2 0
2 2 1
0 1 2
2 1 1
2 0 0
0 2 0
1 1 0
2 1 0
2 2 0
10 3
4 3 2
1 0 1
0 4 4
3 3 0
1 1 3
4 1 3
0 3 3
3 1 1
3 1 3
2 4 2
10 8
2 0 1
2 1 1
2 2 1
1 0 2
1 0 1
1 2 0
0 1 0
0 0 1
2 1 2
0 1 1
10 4
0 3 1
3 2 2
0 0 2
2 3 0
2 3 1
1 1 0
0 2 0
1 3 3
0 2 2
2 0 3
10 8
2 0 0
0 2 1
2 1 1
2 2 0
1 1 0
1 1 2
0 0 0
1 2 0
1 0 0
0 1 0
10 5
0 2 2
2 2 1
0 0 2
2 2 0
1 2 2
0 0 1
2 1 1
1 2 0
0 2 1
1 0 0
10 9
1 5 3
2 1 1
3 1 3
2 3 1
2 0 0
0 4 2
1 3 2
4 5 1
0 0 2
5 3 3
10 7
1 0 3
0 3 3
1 1 0
3 0 0
3 3 0
1 2 3
2 4 2
3 2 1
3 4 4
4 3 1
10 3
2 0 0
0 0 1
2 1 0
2 0 1
0 1 2
1 2 2
1 1 0
0 1 1
0 2 1
0 0 2
10 8
0 1 2
1 1 0
1 1 2
0 1 0
3 3 0
0 1 1
2 2 2
3 2 1
3 1 1
2 1 3
10 9
5 4 3
3 4 1
1 1 2
0 2 2
3 1 3
5 3 1
3 5 2
0 0 3
2 3 2
4 4 5
10 8
1 4 2
3 4 3
2 1 3
3 0 1
1 3 4
1 2 3
0 4 1
3 2 4
2 0 0
4 0 0
10 5
2 1 1
3 1 3
0 3 1
1 3 3
1 2 0
3 2 0
2 2 3
1 1 2
1 1 3
1 3 1
10 5
0 2 0
0 1 0
2 2 0
2 2 2
0 1 1
0 2 1
1 2 1
1 2 2
1 0 1
0 0 1
10 8
4 0 4
0 1 2
1 3 0
4 3 0
2 1 1
3 0 1
3 0 0
3 0 2
2 4 4
3 4 4
10 7
1 0 1
0 0 2
0 2 2
0 1 0
1 2 0
0 2 1
2 1 0
1 1 2
1 2 1
0 1 1
10 3
0 0 2
4 3 4
2 0 0
4 3 3
1 0 5
5 3 0
5 5 3
3 5 1
2 0 3
2 5 3
10 5
2 2 2
1 0 0
1 0 1
0 2 0
2 2 0
0 0 0
0 0 2
2 2 1
2 0 1
2 0 0
10 5
3 2 3
3 2 0
3 1 2
3 3 1
0 3 1
3 1 3
3 0 2
0 1 1
1 3 2
2 3 2
10 6
1 4 1
1 4 0
1 2 1
4 0 3
2 1 0
2 2 2
4 1 0
3 1 2
2 2 0
3 4 1
10 4
1 3 1
3 2 0
1 3 3
2 0 2
0 1 2
3 1 2
3 0 2
3 2 2
0 0 3
0 1 3
10 5
3 2 2
0 0 1
3 2 1
2 2 0
0 0 3
2 1 0
1 2 2
0 1 2
3 1 3
1 1 1
10 7
4 1 3
4 3 2
0 0 0
0 5 4
0 2 4
0 3 0
0 0 3
2 0 5
5 5 5
1 0 0
10 2
0 4 2
1 4 3
3 4 1
4 4 3
0 2 3
2 1 3
1 3 1
3 2 3
1 3 4
4 2 2
10 2
2 3 1
2 2 0
2 0 3
1 5 3
5 4 1
3 0 0
0 4 2
5 3 1
4 2 1
5 3 3
10 5
2 4 2
4 0 2
3 4 0
3 4 1
0 1 5
4 0 3
2 0 1
3 5 4
1 5 0
1 1 2
10 3
1 2 2
2 2 2
1 1 2
2 1 2
1 0 2
2 0 1
0 2 1
1 1 0
2 0 2
1 1 1
10 2
2 2 2
1 1 0
3 1 0
0 1 1
3 0 0
1 1 4
4 2 2
4 3 0
1 0 1
3 0 1
10 9
2 1 4
2 0 1
4 1 4
1 0 2
1 1 1
4 4 2
3 2 4
3 4 3
3 1 1
0 4 0
10 2
2 2 2
2 2 0
1 1 1
0 0 2
1 2 2
2 1 2
1 0 1
2 0 0
1 2 0
1 1 0
10 9
1 2 0
0 1 0
1 1 0
0 0 1
2 2 2
2 0 2
1 0 0
1 2 2
2 2 0
1 0 2
10 7
2 2 1
1 0 0
2 2 0
1 1 1
2 1 2
2 0 0
0 1 1
1 1 0
2 2 2
2 1 1
10 6
4 3 0
4 3 2
1 1 0
3 0 0
3 3 4
1 2 3
1 1 3
1 2 1
3 4 4
0 4 4
10 8
3 0 0
1 3 3
1 2 0
1 2 4
3 1 2
1 2 3
0 0 0
1 3 2
4 3 2
1 1 1
10 5
1 0 0
0 2 0
0 2 2
0 1 1
2 0 0
2 2 0
1 1 0
0 1 2
2 0 2
2 1 2
10 4
4 4 4
0 4 2
1 0 1
2 2 1
2 0 3
1 1 4
0 0 4
3 2 1
4 2 3
4 2 1
10 7
3 0 1
4 4 5
3 1 0
1 4 3
4 0 4
5 5 3
0 4 4
2 1 2
5 5 5
2 0 1
10 9
0 2 1
0 3 0
4 2 0
2 2 2
0 3 3
3 2 4
2 0 4
1 2 1
0 2 3
2 2 3
10 2
3 3 4
4 4 2
0 1 1
4 4 1
1 3 0
4 3 4
3 1 3
2 0 0
0 3 2
0 4 2
10 7
3 1 2
2 3 5
0 5 4
5 1 1
1 4 1
4 2 2
5 5 4
5 2 2
3 4 2
0 4 2
10 6
2 2 2
0 5 0
3 2 5
4 4 0
4 0 3
0 1 1
4 3 5
3 0 3
4 2 1
1 3 2
10 8
2 3 1
2 1 2
2 2 1
3 2 0
3 1 2
1 1 3
0 1 1
2 1 3
1 2 0
0 2 3
10 6
2 2 2
2 0 0
1 3 1
1 1 2
2 0 1
2 1 0
0 2 0
1 2 1
3 2 3
1 0 0
10 6
4 2 4
1 5 1
3 5 4
0 0 3
4 5 1
4 5 0
2 0 3
5 1 2
4 4 1
0 1 5
10 7
3 3 1
1 4 3
0 2 0
3 1 1
0 1 4
1 3 1
1 1 2
2 1 0
0 0 1
1 0 2
10 2
3 1 0
0 2 4
0 1 0
4 0 4
2 3 4
3 4 2
0 2 0
3 2 2
3 2 4
3 0 3
10 9
0 0 1
2 1 1
0 2 1
2 2 1
1 1 1
2 2 0
0 2 0
0 1 1
0 0 2
1 0 2
10 7
2 0 2
2 0 1
1 0 2
0 0 2
1 1 2
0 0 0
2 1 1
0 1 2
1 2 1
2 1 2
10 3
3 1 2
1 0 3
3 3 3
2 4 2
0 0 4
1 1 2
4 3 3
3 4 2
0 1 2
4 3 0
10 6
1 3 4
3 1 0
0 3 0
4 2 3
0 2 1
1 2 3
4 1 0
4 0 4
0 3 2
1 2 4
10 8
3 2 3
2 3 1
3 4 4
4 4 2
1 0 4
1 1 0
4 0 2
4 2 4
4 1 2
1 3 0
10 6
1 1 4
1 1 0
1 2 3
0 4 4
3 2 0
3 3 3
4 3 1
2 3 3
0 3 3
4 3 2
10 3
0 2 2
2 0 1
2 1 0
0 0 0
1 0 2
0 2 1
2 2 2
0 1 2
1 0 1
1 2 2
10 4
0 1 0
3 4 1
4 3 4
3 3 1
0 3 1
0 4 4
4 4 2
1 2 4
1 4 4
4 0 0
10 3
2 0 0
1 1 1
2 1 1
1 1 2
0 1 2
0 2 2
1 2 1
0 0 1
0 1 0
2 2 0
10 6
0 3 0
0 3 1
3 1 3
1 0 2
3 2 0
1 2 3
3 1 1
0 3 2
2 0 1
0 1 1
10 6
1 0 0
2 0 4
3 3 5
4 4 2
0 1 4
3 0 0
2 2 4
0 1 5
4 0 5
2 5 1
10 3
1 1 1
0 2 0
2 3 0
2 0 0
3 3 0
3 1 3
3 1 1
3 0 2
0 1 3
3 2 0
10 6
3 2 4
2 2 1
1 3 0
2 3 4
0 4 2
0 2 1
3 1 4
1 2 1
2 4 3
4 3 2
10 7
3 2 3
1 1 2
2 2 2
3 1 3
3 3 3
3 1 2
3 1 0
1 1 0
2 2 0
1 0 3
10 4
1 0 5
3 3 4
3 3 5
4 5 2
0 3 3
3 1 0
3 4 4
0 1 4
5 1 5
2 1 5
10 4
0 2 2
4 0 3
1 4 4
3 4 0
0 4 4
4 4 2
0 1 1
2 3 0
3 3 3
0 3 2
10 7
1 0 0
2 0 0
1 1 2
2 0 1
0 0 1
2 1 0
1 1 1
2 2 1
2 2 0
0 1 1
10 4
4 2 4
0 0 3
4 1 4
1 3 1
3 2 0
4 3 0
0 3 1
0 1 2
2 4 2
2 1 4
10 4
1 2 2
3 2 0
3 2 1
3 3 2
3 1 1
1 1 3
3 0 1
2 2 2
3 0 2
0 3 2
10 7
2 4 1
1 4 1
4 0 2
0 3 1
3 4 0
3 3 1
4 4 4
3 1 1
3 1 2
2 1 3
10 8
1 0 2
1 0 0
2 0 0
2 2 2
2 1 0
0 1 2
2 2 1
0 1 0
2 0 1
0 1 1
10 2
2 2 2
5 4 3
0 5 1
0 5 2
5 4 1
4 1 5
4 5 0
3 0 5
1 5 1
3 0 1
10 5
5 0 1
1 4 2
4 0 2
1 4 3
2 0 2
5 3 2
2 0 0
3 4 4
4 0 0
1 5 1
10 5
2 1 0
1 0 2
0 2 0
2 0 2
1 1 2
1 2 1
0 1 2
1 1 0
0 1 1
1 2 2
10 6
0 2 2
0 4 4
4 3 3
3 4 2
4 2 3
1 3 1
3 2 2
1 4 4
4 0 4
4 2 4
10 2
5 3 1
1 1 1
1 5 3
1 0 5
0 2 1
5 2 2
3 1 5
1 3 1
2 2 1
1 0 4
10 3
3 2 2
1 3 1
4 0 2
0 2 4
1 4 2
2 3 1
0 4 3
1 3 2
1 2 4
1 4 3
10 3
0 0 0
1 2 0
2 3 1
2 3 3
2 3 2
0 1 3
3 0 2
3 2 3
2 0 3
1 1 1
10 5
0 3 2
0 3 1
2 3 1
2 2 3
1 1 1
3 3 2
3 1 1
2 0 0
1 1 0
2 3 3
10 6
2 2 3
2 2 2
3 0 2
1 0 0
2 2 0
3 0 0
1 3 2
3 1 3
0 0 0
2 3 2
10 2
4 5 5
0 4 4
2 4 1
5 0 4
5 4 1
2 3 3
5 2 0
4 3 3
4 2 3
2 5 3
10 6
4 5 0
2 4 2
1 3 0
4 5 5
5 1 1
4 2 4
5 2 0
2 1 2
3 0 4
0 5 1
10 7
1 1 3
2 0 3
2 3 3
2 1 3
3 1 1
0 2 1
3 0 3
3 2 2
3 1 0
0 0 1
10 8
2 0 2
0 0 3
1 1 3
1 1 0
2 3 0
1 2 1
1 0 3
2 3 2
1 3 2
1 2 3
10 5
0 4 2
4 3 0
0 3 0
4 2 4
1 3 1
4 0 2
3 1 1
1 3 0
0 4 3
1 2 4
10 5
2 2 3
0 3 3
1 1 2
1 2 3
2 2 2
3 2 2
0 2 1
0 0 3
0 2 2
1 1 1
10 4
3 1 1
2 3 1
0 1 2
1 3 1
2 0 2
3 2 2
1 3 0
2 3 2
2 2 2
1 0 3
10 3
4 2 0
3 5 0
3 4 3
2 3 2
2 0 1
2 4 0
2 0 2
2 0 4
2 2 1
3 5 3
10 6
3 1 2
0 2 2
0 1 3
2 4 2
1 1 2
0 5 1
2 4 4
1 0 3
4 5 0
5 0 3
10 4
1 3 1
0 4 0
4 4 0
2 3 4
1 4 4
1 3 0
0 3 1
4 0 0
1 3 4
1 1 4
10 9
1 0 0
2 0 3
0 1 3
0 0 3
0 2 0
2 1 2
3 3 0
3 0 2
1 2 1
3 3 1
10 5
0 0 1
2 2 0
1 1 2
1 0 1
0 2 2
1 0 0
0 1 2
0 0 2
1 2 1
2 1 1
10 9
0 0 4
1 5 3
2 5 5
1 5 1
0 1 2
1 3 3
5 2 3
4 2 5
0 2 0
5 3 2
10 2
2 4 1
2 2 1
1 0 3
2 3 3
2 0 2
1 2 4
3 3 3
1 1 3
1 3 1
0 4 2
10 6
2 2 2
1 1 2
1 0 0
0 0 2
0 2 0
1 0 1
1 2 0
0 2 2
0 1 2
2 1 0
10 7
2 2 3
0 3 3
2 1 2
1 1 1
3 3 1
1 2 0
0 2 0
1 3 3
1 3 2
0 1 0
10 2
2 3 4
1 4 0
1 0 4
2 4 1
0 4 4
0 0 1
3 1 3
1 3 3
3 1 2
1 3 0
10 9
2 0 1
0 1 1
2 2 1
2 3 2
1 2 2
0 2 3
2 3 3
2 0 3
3 1 1
3 0 0
10 5
3 2 3
0 2 1
0 0 3
1 0 3
0 3 3
2 2 2
0 2 0
0 1 1
1 2 3
0 0 1
10 2
5 3 5
5 2 4
2 5 1
4 5 4
3 5 5
2 5 5
2 1 1
0 3 2
3 1 2
4 5 5
10 5
1 2 2
0 1 0
1 2 1
1 1 2
2 1 2
2 2 2
2 0 2
2 2 1
1 1 0
0 0 2
10 5
2 4 4
0 1 0
4 0 2
0 4 1
2 1 4
1 3 4
1 1 2
0 1 4
4 1 3
4 1 0
10 6
1 2 1
1 2 3
2 2 0
1 3 1
1 2 0
1 0 1
2 0 2
3 1 2
2 3 2
2 1 0
10 4
0 2 1
2 2 1
0 0 0
1 0 0
2 0 2
1 2 0
0 1 2
1 2 1
2 1 2
2 2 2
10 4
1 0 1
3 1 0
3 2 3
1 2 2
3 3 2
3 1 3
1 3 3
2 3 1
1 1 3
0 0 3
10 4
2 2 1
0 2 0
1 2 0
0 2 1
0 0 0
2 1 0
2 1 1
2 2 0
0 0 1
1 0 1
10 7
3 1 3
1 2 1
2 2 4
2 3 1
0 3 3
4 1 3
2 1 4
2 1 1
1 2 0
1 1 1
10 6
1 0 0
0 0 0
0 4 0
1 4 1
1 1 4
2 4 2
0 2 4
1 3 4
4 1 2
3 2 3
10 7
2 0 0
2 3 2
0 3 1
0 2 0
2 0 2
3 0 1
3 0 0
1 1 3
1 2 3
3 1 3
10 5
5 1 3
2 5 3
4 3 5
3 5 3
0 1 4
4 2 2
5 5 5
4 1 0
1 3 4
0 2 3
10 8
3 4 3
2 1 2
4 0 1
2 3 1
1 1 3
1 1 4
0 2 3
3 4 4
4 2 3
1 0 3
10 2
1 3 2
1 1 3
0 0 2
3 1 3
1 0 1
2 0 0
2 1 0
2 2 3
1 3 3
3 1 0
10 6
1 0 2
3 3 3
2 1 1
0 2 0
2 0 3
1 3 0
1 1 0
3 0 1
1 0 0
0 3 1
10 5
0 1 2
0 1 0
1 2 0
2 1 1
2 2 0
0 0 2
0 1 1
1 1 0
0 0 0
0 0 1
10 5
0 3 0
1 3 3
2 1 2
3 1 1
0 3 3
0 3 2
0 0 2
2 0 1
3 3 1
3 0 2
10 7
2 1 3
3 0 1
1 0 3
3 2 1
2 3 3
1 0 1
0 2 2
3 3 1
1 2 2
3 2 2
10 6
1 1 1
3 0 2
2 2 1
0 3 0
1 3 2
2 3 2
2 2 2
2 0 2
1 0 3
2 2 0
10 6
1 1 0
2 1 0
0 1 2
1 2 1
0 1 1
2 1 1
2 2 1
0 2 1
2 0 1
1 0 2
10 9
2 3 3
5 2 2
2 0 3
5 5 3
5 4 1
3 0 5
0 1 4
0 3 4
2 3 1
0 4 0
10 8
1 1 0
2 2 0
0 2 2
1 2 0
2 1 2
2 0 2
0 1 2
2 2 2
1 0 2
2 2 1
10 9
1 1 1
1 2 0
0 2 1
0 0 1
1 0 1
2 2 0
1 1 2
2 2 2
0 0 2
1 2 1
10 4
1 3 0
2 2 2
2 3 1
3 0 1
0 0 0
3 1 1
0 2 1
3 2 1
2 2 1
2 0 2
10 3
0 4 3
4 3 2
2 4 4
3 1 0
0 2 1
0 4 4
1 2 3
2 0 3
4 4 3
1 3 3
10 6
3 3 4
4 3 2
0 2 4
5 3 1
5 3 5
1 3 5
0 4 1
4 4 1
3 2 0
0 3 1
10 8
1 2 3
2 0 0
1 1 4
3 0 1
2 1 2
3 0 4
0 2 3
5 3 0
4 3 0
1 3 1
10 4
1 3 3
2 0 2
3 4 1
3 0 1
3 0 2
4 3 1
2 1 4
3 1 1
2 4 3
2 2 1
10 3
3 0 0
4 1 2
0 3 4
2 4 3
1 4 4
2 1 0
3 1 1
3 4 0
4 2 2
3 1 3
10 4
0 0 1
2 0 2
1 1 0
2 0 0
1 0 1
2 2 0
0 2 1
1 0 0
1 2 0
1 1 2
10 7
0 1 0
0 2 4
1 3 2
4 3 0
3 1 0
1 2 1
3 3 0
0 1 1
4 4 0
2 0 2
10 5
0 1 0
1 3 3
0 0 4
4 1 3
4 1 2
3 0 3
0 3 2
2 4 3
2 2 3
3 3 2
10 5
4 4 0
3 1 1
0 1 4
1 2 2
0 3 0
4 3 4
4 3 1
1 1 4
2 1 1
2 4 1
10 3
2 0 0
3 5 1
3 4 1
0 4 5
5 1 0
2 2 1
3 1 1
5 0 0
5 1 1
2 5 2
10 3
1 1 1
3 4 1
0 3 4
2 3 0
0 4 2
3 5 2
4 5 2
1 2 1
4 0 4
4 2 5
10 5
2 1 1
0 0 2
2 2 1
2 0 0
0 2 2
2 0 2
2 1 0
2 1 2
1 0 2
2 2 0
10 3
3 2 0
4 1 1
1 0 4
3 3 3
2 1 3
3 4 2
2 2 2
0 3 2
1 0 1
2 1 0
10 5
4 3 2
1 3 1
2 1 4
1 0 4
2 2 4
2 4 0
2 1 2
1 1 1
1 0 3
4 2 3
10 9
0 1 1
0 3 0
2 1 2
2 3 2
3 1 3
3 2 1
0 2 0
1 3 3
3 1 0
2 0 3
10 5
2 0 0
1 1 0
1 0 0
0 0 2
0 0 0
0 2 2
0 0 1
1 0 2
0 2 1
1 2 2
10 9
0 1 0
0 2 1
1 1 2
0 1 1
1 0 2
1 1 0
1 1 1
2 0 2
2 0 1
1 2 0
10 8
2 2 1
1 2 0
0 2 0
2 0 1
1 1 0
1 0 2
1 1 2
1 0 1
1 0 0
2 1 1
10 9
1 0 2
2 1 2
3 1 0
2 2 2
2 3 4
0 2 3
0 3 0
2 3 2
4 1 4
3 4 1
10 9
2 0 0
1 2 2
0 2 0
1 0 1
2 2 0
0 1 0
0 0 2
2 2 1
1 0 2
1 1 0
10 9
1 1 1
2 2 1
3 2 3
1 3 1
2 1 3
3 3 1
1 0 0
2 2 0
2 0 3
3 2 1
10 9
3 0 1
0 3 0
1 2 1
1 4 1
3 1 2
1 3 2
3 0 4
4 0 1
2 3 1
0 1 3
10 6
2 1 2
1 0 0
1 1 1
1 0 2
1 2 1
0 1 1
0 0 2
1 1 2
2 2 0
0 0 1
10 4
5 3 2
4 2 5
5 1 3
2 2 4
0 1 4
1 5 5
2 1 5
1 2 3
5 2 2
3 4 5
10 8
4 1 4
4 3 2
0 1 0
0 3 3
1 2 1
0 2 3
2 5 3
1 1 2
4 2 1
5 1 5
10 2
1 1 4
1 0 2
0 1 3
0 2 4
2 1 2
0 3 3
1 3 4
4 1 1
4 2 0
3 3 1
10 5
0 0 2
0 1 2
2 0 0
0 2 1
2 1 0
1 1 1
2 0 1
2 2 2
0 2 2
1 2 0
10 4
4 4 2
4 0 2
2 3 0
3 0 1
4 2 3
1 3 3
0 2 1
3 0 0
1 2 0
1 2 3
10 8
0 1 0
0 0 2
0 0 1
2 2 1
2 1 0
1 0 2
1 0 0
1 0 1
2 0 0
2 2 0
10 7
2 0 1
2 2 2
0 1 1
2 1 0
0 0 2
2 2 0
0 0 0
0 0 1
2 0 0
2 0 2
10 4
0 4 2
2 1 1
3 2 0
0 4 1
4 2 3
3 0 0
4 2 0
2 2 2
0 2 2
3 3 0
10 8
2 3 0
1 3 2
1 0 0
3 1 3
0 2 1
1 2 2
3 0 0
3 0 3
2 0 3
3 0 2
10 9
1 3 2
3 2 1
0 3 4
0 0 0
0 2 3
2 3 3
3 0 3
3 3 0
3 4 1
3 0 1
10 7
2 0 2
1 3 3
1 2 0
2 2 0
0 3 3
0 0 3
3 3 2
2 2 2
3 3 0
3 0 3
10 3
4 0 0
4 4 0
3 1 3
2 4 2
0 2 2
2 1 3
4 0 4
1 1 4
2 4 0
0 0 0
10 9
3 1 1
4 0 2
1 3 3
1 1 1
0 5 1
0 2 5
4 2 1
0 1 4
0 3 3
3 3 0
10 8
3 2 0
0 1 3
3 0 3
0 1 1
1 3 1
3 3 1
3 1 3
0 3 0
1 2 0
2 2 0
10 7
4 0 3
4 1 0
4 1 2
3 4 2
0 5 3
3 1 2
0 5 1
5 2 1
3 5 2
0 2 5
10 6
0 3 1
2 1 3
0 1 1
1 2 3
3 0 3
2 1 2
0 0 0
3 3 3
3 3 0
1 3 0
10 7
0 0 4
4 4 0
3 3 4
2 0 2
1 0 1
2 1 2
4 2 0
0 0 1
0 2 3
3 2 4
10 9
3 1 0
3 0 0
0 3 3
3 2 0
3 1 2
3 3 0
0 3 0
0 2 2
0 0 0
1 0 3
10 8
4 2 1
2 1 2
1 2 4
0 4 3
4 2 3
2 0 3
3 0 2
4 3 0
3 3 4
0 1 0
10 5
2 4 3
4 3 0
1 3 3
2 4 1
2 2 0
0 3 4
1 1 4
3 2 1
4 2 1
2 1 4
10 3
2 3 5
1 2 2
5 5 1
2 4 1
0 4 0
2 5 4
3 2 1
3 0 0
0 5 1
5 3 4
10 5
1 3 3
2 0 0
3 0 3
0 1 1
1 2 1
1 2 2
3 2 2
1 1 1
1 1 2
0 3 2
10 4
3 4 3
3 4 4
0 1 0
1 1 3
4 0 1
2 0 2
0 4 2
1 1 1
5 3 2
2 0 4
10 4
1 3 4
2 4 0
4 3 0
1 1 4
3 0 0
4 2 0
3 3 1
0 2 2
3 3 4
1 4 4
10 8
0 1 5
0 4 1
2 5 2
2 2 3
1 5 0
3 0 1
4 1 0
4 3 4
2 3 0
2 1 0
10 2
3 1 4
2 2 0
2 1 0
1 3 2
1 0 4
0 4 0
0 4 2
0 3 3
1 3 4
2 0 4
10 4
1 2 4
5 3 5
2 3 4
3 1 5
4 4 4
1 1 2
2 2 1
3 4 2
5 4 4
2 0 5
10 3
1 2 2
1 0 1
2 1 2
1 1 2
2 2 0
2 0 2
2 2 1
0 2 0
2 0 1
1 2 0
10 9
0 0 0
2 3 3
1 2 3
1 0 0
1 0 1
2 4 3
2 4 0
0 2 3
3 1 4
5 3 2
10 8
2 4 2
0 2 2
2 1 4
3 2 0
0 1 0
3 4 1
1 4 4
0 1 4
3 0 3
3 3 4
10 9
0 3 1
2 5 3
1 3 0
5 0 5
0 0 4
0 4 2
4 0 0
1 1 0
1 4 1
5 3 4
10 5
2 1 1
1 0 2
0 1 2
2 2 0
1 1 0
0 2 1
1 0 0
0 1 0
1 2 2
2 2 1
10 5
1 3 2
3 3 1
2 1 3
1 2 0
2 0 3
3 2 3
1 3 1
2 2 2
1 3 0
3 2 1
10 9
2 4 4
4 4 0
3 2 0
2 5 0
4 1 1
5 4 1
3 1 3
2 0 5
5 0 1
2 0 4
10 9
2 1 2
2 2 2
2 0 0
0 2 0
0 1 0
2 1 1
1 1 1
1 1 0
0 1 2
1 2 2
10 2
3 1 1
3 0 3
1 0 1
2 1 2
1 1 3
0 1 2
0 1 0
3 0 1
3 1 2
3 0 0
10 9
0 0 2
0 3 3
1 4 0
2 1 2
1 3 4
4 3 0
3 0 4
0 0 3
0 3 0
1 0 2
10 6
0 5 1
4 4 5
4 5 3
3 3 0
2 0 0
5 1 4
0 0 4
5 3 4
1 1 2
2 4 3
10 8
0 0 0
0 0 2
2 0 2
0 1 0
0 0 1
1 2 0
1 1 1
0 1 2
2 1 2
0 1 1
10 7
1 3 0
1 3 3
2 0 0
3 2 0
1 0 0
0 0 2
1 1 1
2 1 2
1 0 1
1 2 0
10 5
3 2 0
1 0 1
1 4 4
4 3 0
1 2 4
2 3 4
4 0 4
0 1 0
0 0 1
1 1 3
10 9
1 0 2
1 1 2
2 1 0
1 2 2
1 0 1
2 0 2
0 2 0
0 1 1
0 2 2
2 1 2
10 4
3 2 1
4 3 4
4 0 3
0 1 0
3 0 3
2 3 2
4 3 3
0 2 1
4 0 4
2 0 0
10 9
1 1 2
0 1 1
2 2 2
1 0 2
2 0 1
1 1 1
2 0 2
2 1 0
0 2 0
1 2 2
10 5
3 0 2
4 0 3
2 1 3
0 3 4
4 3 2
3 1 0
2 2 0
3 2 0
1 1 4
4 1 0
10 7
2 4 2
1 1 5
3 0 0
4 1 3
1 5 2
5 1 2
1 3 3
0 0 1
0 1 3
0 4 0
10 2
3 0 0
1 1 3
2 1 3
1 2 2
3 3 1
3 0 2
3 2 3
3 0 1
1 3 3
1 3 2
10 2
4 5 4
2 0 4
5 3 4
0 3 2
4 0 1
0 2 1
3 4 3
1 0 3
3 3 0
0 0 4
10 4
2 4 0
1 1 1
2 3 3
4 4 2
0 2 1
2 0 4
2 2 4
4 1 2
4 3 1
2 1 0
10 6
2 1 1
0 2 1
0 0 2
0 1 2
2 2 1
2 0 1
1 1 1
1 0 2
0 0 0
2 1 2
10 2
3 4 0
2 4 4
1 3 3
3 1 4
3 2 0
0 4 0
2 4 1
3 1 3
1 2 0
2 1 1
10 4
1 2 1
2 3 0
2 0 2
0 3 0
0 3 3
3 3 0
1 2 0
3 0 1
0 1 1
1 3 1
10 8
4 0 0
2 4 0
1 0 0
1 1 0
0 0 1
3 0 0
1 3 2
0 4 2
3 1 0
3 4 3
10 2
0 1 1
2 2 2
1 0 0
0 3 1
0 0 0
2 0 3
1 3 3
3 0 3
0 2 1
1 2 3
10 5
5 4 4
0 5 5
4 1 5
3 2 5
0 1 5
4 0 3
1 4 4
1 1 0
0 2 2
1 4 1
10 2
2 0 0
2 0 2
0 2 2
2 1 1
0 1 2
2 0 1
0 2 1
0 0 2
1 0 1
2 1 2
10 8
3 3 0
1 4 0
2 4 1
0 1 3
0 4 3
3 3 1
2 3 2
3 4 0
0 4 5
1 2 4
10 7
2 1 1
1 2 1
1 0 1
2 0 0
2 2 2
0 1 1
0 1 0
2 2 0
0 2 2
2 0 2
10 4
3 1 0
0 3 2
0 2 3
3 3 2
3 0 0
2 0 3
0 1 0
3 2 2
0 0 3
2 2 3
10 3
0 0 2
0 1 0
2 1 2
2 0 2
2 2 2
2 1 1
2 2 0
0 1 1
0 2 2
1 0 1
10 2
0 1 0
1 2 2
1 0 0
1 2 1
2 1 0
0 2 0
1 0 1
2 1 2
0 0 0
1 1 2
10 6
2 3 3
4 4 2
3 1 0
4 3 1
0 3 0
4 1 2
1 1 4
0 4 1
0 3 4
3 1 1
10 7
0 3 0
0 3 1
1 1 3
0 0 3
3 2 1
2 3 0
1 3 1
3 3 0
0 1 1
0 2 1
10 9
5 5 1
3 2 0
0 2 0
0 0 3
1 2 2
4 5 5
4 2 4
0 5 1
0 3 2
2 4 3
10 5
0 1 0
2 0 2
0 1 2
2 2 1
0 2 0
1 2 2
2 0 1
1 1 2
1 0 2
1 1 1
10 6
3 0 1
3 3 0
0 2 1
0 2 0
3 1 3
3 1 2
0 2 2
0 3 1
2 3 1
1 3 2
10 6
2 2 2
0 0 1
2 1 0
1 1 2
2 0 0
2 0 2
0 1 2
0 2 0
1 0 2
1 0 0
10 5
2 2 0
0 1 3
3 3 5
5 5 3
0 0 4
4 4 1
5 2 3
2 4 3
5 5 0
2 2 5
10 2
5 5 1
2 2 5
5 5 0
5 5 3
4 2 0
0 4 1
1 3 1
3 0 2
2 0 5
3 0 0
10 4
2 4 3
4 3 5
4 3 2
2 2 4
4 2 3
1 5 4
5 2 5
4 0 0
4 1 0
5 4 0
10 6
2 0 0
1 2 0
1 1 1
0 0 1
2 0 2
2 2 1
1 0 1
0 1 0
2 1 2
2 0 1
10 9
0 1 0
1 1 2
3 1 2
3 2 1
2 3 0
2 2 2
3 1 0
2 1 1
1 2 0
1 0 0
10 7
3 1 3
1 0 2
0 3 1
0 1 0
2 3 3
3 3 0
3 0 3
2 2 3
1 3 2
2 1 2
10 5
3 1 4
4 0 5
3 0 3
2 2 4
3 0 1
2 0 5
3 3 1
1 0 0
0 5 4
3 3 2
10 6
3 1 1
4 1 4
5 2 0
5 3 5
4 5 1
1 0 0
1 2 0
1 3 4
0 3 2
0 4 1
10 3
1 0 3
0 2 1
1 4 1
0 4 3
3 4 0
4 4 1
3 2 0
3 1 0
4 2 3
3 1 3
10 8
2 2 1
0 4 2
3 0 1
1 4 0
4 3 0
4 2 0
0 0 3
3 0 4
2 3 1
1 0 4
10 9
5 1 1
5 4 0
4 2 2
2 3 4
1 1 2
2 2 5
4 4 0
1 5 5
3 3 5
3 3 2
10 8
0 0 0
1 0 0
3 2 1
2 0 2
2 1 2
0 1 3
3 2 3
0 2 3
1 0 3
3 1 3
10 2
0 0 1
1 0 2
2 0 3
1 3 1
2 3 1
2 2 2
2 1 3
2 3 2
3 0 1
0 0 3
10 7
2 1 4
1 2 0
1 3 3
2 2 1
4 3 3
4 1 1
0 3 0
1 1 0
3 2 0
4 4 3
10 3
2 1 2
0 0 2
0 1 0
1 2 0
1 1 0
0 1 2
2 0 1
2 1 1
1 0 1
2 2 0
10 5
1 4 2
1 4 1
3 2 1
1 0 2
3 1 1
2 2 4
3 2 2
3 3 2
1 1 3
0 2 1
10 7
5 5 0
2 5 0
2 3 5
1 0 1
0 1 3
4 4 5
4 1 2
2 0 0
5 3 1
3 0 0
10 9
1 1 3
3 1 1
1 3 3
2 0 0
0 3 1
2 3 0
2 1 1
1 3 2
3 1 3
2 3 2
10 2
2 4 4
3 2 2
4 3 1
0 3 4
0 3 0
2 2 0
3 2 0
3 4 3
3 4 2
0 0 4
10 5
0 2 1
1 2 2
1 2 1
1 1 1
2 3 2
2 2 3
1 0 1
0 0 2
3 0 0
0 3 0
10 6
0 3 1
0 2 2
1 1 3
1 0 0
0 1 2
2 2 0
1 3 1
3 0 2
1 1 0
3 0 3
10 9
0 3 2
2 1 3
1 0 2
2 3 2
0 3 3
2 3 1
3 0 0
3 2 2
2 2 3
3 3 2
10 9
3 0 0
1 2 3
1 1 0
1 3 2
0 0 1
1 2 0
1 0 0
3 1 1
2 3 3
2 3 0
10 9
3 0 3
0 1 2
0 3 2
1 1 3
2 1 1
4 0 2
0 4 2
1 1 0
3 0 4
2 3 4
10 2
0 0 2
5 3 4
0 4 2
4 0 0
0 2 4
5 1 2
5 1 3
3 3 5
1 3 1
5 3 3
10 2
4 3 2
4 1 4
1 2 0
3 3 2
0 3 0
1 5 2
3 4 5
2 5 3
5 5 3
3 2 4
10 8
2 3 1
3 0 4
0 4 0
1 0 1
5 3 4
0 0 1
2 5 4
3 3 1
1 0 3
2 3 5
10 8
3 0 3
0 1 0
2 3 1
3 3 0
1 2 2
0 0 1
1 0 1
2 1 1
3 3 3
1 3 0
10 3
2 1 0
0 0 3
0 3 4
0 0 2
3 3 5
5 2 3
2 4 4
3 5 3
4 3 2
1 4 4
10 7
2 1 5
4 1 4
5 5 1
2 5 4
0 1 5
5 5 2
3 2 3
5 1 0
4 2 0
5 0 4
10 9
2 3 4
4 2 2
3 2 2
3 4 2
4 4 2
1 0 0
3 3 3
1 4 0
1 3 0
0 4 1
10 5
0 1 0
2 1 3
1 3 2
1 2 2
2 1 1
0 0 0
2 0 1
0 2 2
2 2 0
2 3 1
10 5
2 1 2
2 4 4
1 0 3
0 1 4
1 3 4
3 2 3
3 3 3
2 2 4
4 0 2
4 3 3
10 3
3 4 0
3 2 3
1 2 4
3 1 1
4 0 1
1 0 3
2 4 4
3 2 0
2 3 0
2 1 4
10 8
0 1 3
5 0 2
1 1 0
1 0 5
1 2 4
0 1 5
1 0 4
2 4 4
2 0 3
5 5 5
10 2
1 1 0
1 1 2
2 1 1
1 0 2
2 0 3
3 0 0
2 1 2
0 1 2
2 1 0
1 3 0
10 2
0 1 3
1 3 0
0 3 0
3 2 2
1 0 2
1 3 1
1 0 1
0 3 2
2 3 1
3 0 2
10 9
0 1 0
1 0 2
2 2 0
0 0 1
0 1 1
0 0 0
1 1 0
2 0 1
2 1 1
1 0 0
10 3
0 4 0
1 1 5
5 2 3
4 1 1
1 3 5
1 5 4
5 4 4
5 3 3
5 5 0
2 1 3
10 6
2 5 3
5 3 3
1 1 1
4 3 5
3 3 2
3 4 1
3 5 3
5 2 0
2 3 1
2 2 2
10 9
2 2 1
0 0 2
1 1 0
1 1 2
0 1 0
0 2 0
0 2 1
0 1 2
2 0 0
0 0 1
10 7
3 2 3
1 0 0
0 1 2
3 1 1
1 3 1
2 2 0
3 1 3
2 0 1
0 2 3
1 2 2
10 9
2 3 0
2 2 1
1 3 3
3 2 1
3 2 2
0 1 2
3 1 1
0 0 2
1 3 0
2 3 3
10 7
0 0 1
1 2 2
1 0 1
2 2 1
0 1 1
0 1 2
1 0 2
2 0 0
0 1 0
1 0 0
10 7
1 2 0
0 3 0
2 1 0
3 0 0
3 3 1
0 2 1
0 1 3
2 2 2
2 2 3
3 0 2
10 2
2 1 0
2 2 2
0 1 0
0 2 3
1 2 1
1 3 3
3 2 0
1 0 0
2 3 3
2 3 0
10 9
2 0 3
0 2 1
1 0 2
1 0 0
4 4 4
3 0 2
4 2 4
1 1 1
0 3 3
1 1 2
10 2
2 0 3
1 1 0
3 1 0
0 2 3
1 3 3
0 3 0
2 0 0
1 3 0
2 3 2
3 3 2
10 8
1 0 3
2 3 3
2 3 0
2 0 3
1 3 1
0 1 1
2 1 0
1 2 0
0 3 2
3 1 1
10 9
3 2 2
0 3 1
2 3 2
3 0 0
1 3 1
0 1 0
0 3 2
1 2 2
1 2 0
3 1 1
10 3
2 2 2
1 3 2
3 1 3
0 3 2
0 3 3
0 1 3
3 1 1
3 2 2
0 2 1
2 0 3
10 6
0 2 0
0 0 2
2 2 1
1 0 1
0 2 1
1 2 1
2 0 2
1 2 0
1 0 0
0 1 0
10 4
0 2 2
0 0 1
2 1 0
2 1 2
1 2 0
0 2 0
2 0 2
1 1 2
1 0 0
1 1 1
10 4
2 1 2
0 1 3
1 1 2
2 3 1
2 2 2
0 2 0
3 1 3
0 3 1
0 2 2
3 1 1
10 8
1 1 1
2 1 0
2 2 1
1 1 2
0 2 0
1 0 1
0 0 1
2 0 0
1 2 0
0 1 1
10 4
2 3 2
3 3 2
2 2 2
3 2 2
1 3 2
3 2 3
1 1 0
1 3 1
2 3 0
1 2 0
10 7
2 1 3
0 1 0
3 2 1
3 2 2
0 3 2
1 0 2
3 1 3
2 0 1
1 2 2
0 1 2
10 9
3 2 1
0 0 0
3 1 2
1 2 3
0 0 1
1 0 0
1 3 0
2 2 0
1 2 2
3 1 0
10 4
3 1 0
1 3 1
2 1 1
1 3 2
2 1 2
1 1 0
2 3 3
3 2 3
0 3 0
2 0 1
10 9
1 3 0
4 1 3
2 3 4
4 2 1
2 4 4
4 4 1
3 1 0
3 3 2
4 3 3
4 0 3
10 6
1 1 4
4 3 2
0 1 5
3 5 2
5 5 1
0 0 1
4 1 0
3 5 1
5 0 1
0 0 3
10 4
2 0 2
0 0 1
1 2 2
0 2 1
2 1 0
0 0 2
2 2 1
1 0 0
1 2 0
0 0 0
10 7
1 2 1
2 2 4
0 2 4
3 3 1
0 4 3
0 0 0
0 3 1
1 2 2
0 4 2
3 1 3
10 4
3 4 0
1 3 0
0 4 2
4 2 1
1 2 4
2 1 4
1 0 0
1 3 4
1 0 4
4 3 4
10 4
0 0 1
1 2 0
1 3 2
1 1 0
2 0 3
2 3 2
1 1 1
0 3 0
0 2 0
2 2 0
10 6
2 2 0
2 0 1
2 0 2
0 1 1
0 0 2
0 1 0
0 2 0
2 2 2
0 1 2
0 0 0
10 5
0 3 0
1 2 1
0 0 0
0 0 3
3 0 3
1 1 2
3 2 1
1 2 2
0 3 1
1 2 0
10 8
2 2 0
1 2 2
4 3 3
4 0 4
4 1 0
3 1 0
3 4 2
0 2 0
3 0 2
1 3 3
10 2
0 0 3
3 0 0
2 3 1
0 0 0
3 2 3
1 1 1
1 0 3
0 3 0
1 1 2
0 2 1
10 7
1 2 0
1 0 0
0 3 1
2 3 2
1 0 2
0 2 2
2 2 1
2 2 2
1 2 2
1 3 3
10 4
4 3 2
4 2 2
0 3 1
0 1 4
2 0 4
3 1 0
4 0 0
4 2 0
1 2 2
3 1 3
10 5
0 0 1
4 0 2
1 3 1
3 2 4
1 4 1
4 1 3
1 1 4
4 3 2
4 1 0
0 4 2
10 9
4 2 5
1 4 4
0 4 1
2 5 1
3 1 2
3 1 0
0 4 4
3 0 5
0 2 5
1 2 1
10 4
2 4 5
0 0 0
0 0 4
5 2 3
4 4 0
2 5 0
0 3 4
2 1 0
1 5 1
4 3 4
10 7
3 4 1
3 2 2
1 4 5
1 1 4
0 0 2
1 1 2
4 2 1
3 1 0
4 0 1
2 3 0
10 8
0 3 3
3 2 0
0 0 3
3 2 3
0 2 0
1 2 1
0 2 1
0 3 0
1 2 3
3 2 2
10 7
1 3 1
3 2 2
1 3 3
4 3 0
0 1 1
1 0 2
4 3 1
1 4 4
2 1 2
2 0 3
10 3
1 0 1
3 2 1
2 3 1
0 0 2
3 1 0
0 1 1
0 0 1
2 1 2
3 1 3
2 1 3
10 2
1 4 0
1 1 1
4 0 0
2 3 1
0 1 1
5 1 3
0 5 1
1 2 5
5 3 0
2 0 5
10 6
1 0 1
1 2 1
1 0 0
2 2 0
2 1 2
0 0 2
1 1 1
2 0 1
0 2 1
2 2 1
10 4
0 1 0
2 3 0
0 2 0
3 3 0
0 3 1
2 2 1
0 3 2
0 2 3
3 0 0
1 2 1
10 8
3 4 3
4 3 0
4 2 0
4 4 0
1 2 2
2 3 4
4 0 0
4 0 3
4 0 4
3 0 1
10 5
0 1 2
2 1 0
3 3 1
0 3 3
2 1 3
3 0 0
1 3 2
2 1 1
2 2 2
1 2 3
10 2
4 3 0
1 4 2
0 4 2
4 0 4
2 2 3
0 2 4
2 0 0
2 3 4
1 3 2
3 4 4
10 4
0 0 0
2 1 2
1 0 1
0 1 0
1 1 1
0 0 1
1 2 1
2 0 2
1 1 2
1 2 0
10 5
0 4 0
1 4 2
0 0 0
4 4 0
0 2 3
2 0 3
2 0 2
2 3 2
0 1 3
0 1 2
10 7
2 0 3
3 2 0
0 3 3
1 0 1
1 3 3
2 1 1
1 2 1
2 1 3
2 3 3
0 1 0
10 7
2 2 1
3 2 4
0 0 1
1 0 3
0 4 3
3 0 0
2 0 0
1 1 1
4 0 3
1 2 4
10 5
3 0 3
1 2 0
3 1 3
3 4 0
1 1 0
3 4 2
1 4 2
4 2 1
2 4 3
3 3 2
10 8
1 0 0
0 0 2
0 1 2
2 0 2
1 2 0
2 2 2
2 1 1
0 1 0
0 2 2
2 0 1
10 6
1 2 1
0 1 0
0 2 1
1 1 0
0 1 1
0 0 0
0 0 1
2 2 0
2 0 2
0 0 2
10 8
3 3 2
4 0 2
0 0 2
4 4 3
0 3 4
3 2 5
0 1 4
4 3 1
4 5 0
4 2 5
10 4
0 2 1
2 1 1
0 2 0
1 0 1
2 2 0
2 1 3
1 3 3
3 0 2
3 1 0
0 0 3
10 7
0 1 2
1 0 1
0 0 0
2 1 0
0 0 2
1 2 1
2 0 2
1 2 0
0 2 2
0 2 1
10 6
2 2 1
2 0 2
0 1 2
2 0 1
2 1 1
2 2 2
1 1 1
1 1 2
0 2 1
1 1 0
10 3
0 2 0
2 2 1
0 0 1
1 2 2
1 1 0
2 0 0
2 0 1
2 1 1
0 1 2
1 0 0
10 2
2 4 0
1 1 5
1 3 0
4 2 0
4 3 2
5 5 4
1 3 4
2 1 4
1 3 2
4 2 3
10 6
2 2 1
3 2 1
2 1 3
1 1 0
1 0 0
3 0 1
0 0 1
0 3 1
2 1 2
3 0 0
10 6
2 1 4
0 4 1
4 3 4
4 4 4
1 2 0
3 4 0
3 0 0
2 0 2
3 4 1
0 1 1
10 4
1 0 1
0 0 2
2 0 2
0 1 2
1 0 2
2 1 0
0 2 1
1 1 1
0 0 0
2 2 0
10 2
1 1 2
2 4 4
2 4 0
0 4 4
4 4 5
0 1 5
5 2 2
0 2 4
3 2 2
0 5 1
10 8
2 5 1
5 1 3
1 5 1
1 4 4
0 2 4
2 4 4
5 4 4
3 1 1
5 1 2
1 1 1
10 3
2 3 5
1 0 1
5 1 3
4 5 5
1 0 5
4 0 4
2 2 1
3 2 0
5 3 3
5 2 0
10 6
4 2 0
0 4 3
0 2 1
1 3 4
3 4 2
4 3 4
0 3 2
0 2 4
3 0 3
3 3 4
10 7
2 1 0
2 4 2
1 4 3
3 2 3
1 4 0
2 3 4
1 4 4
2 2 0
0 2 0
3 0 1
10 4
3 1 3
0 0 4
2 3 2
4 2 4
2 0 1
4 1 4
4 2 2
3 3 3
1 0 4
3 0 1
10 4
4 3 1
2 5 0
3 2 2
5 1 3
5 5 3
3 0 3
2 1 3
4 0 4
5 4 5
2 5 4
10 6
3 1 3
0 0 5
5 3 0
4 3 4
0 0 4
3 4 1
1 1 2
4 1 4
0 4 4
0 4 3
10 9
0 2 0
0 0 0
2 1 2
0 0 2
0 2 2
2 0 0
2 0 2
0 1 1
1 2 2
2 1 0
10 9
1 1 2
1 0 0
0 0 1
0 0 2
2 2 1
1 2 1
2 2 2
1 1 1
1 2 0
0 1 0
10 6
2 2 1
1 3 2
4 0 2
5 5 0
2 4 2
5 2 2
2 1 2
2 3 1
3 1 2
5 2 0
10 4
2 2 1
2 3 2
5 4 1
0 1 2
5 5 3
1 4 0
5 2 2
4 1 3
2 2 2
3 1 5
10 3
2 3 4
3 3 1
2 1 4
4 1 3
3 1 3
3 0 0
2 4 1
4 4 4
2 2 0
4 2 1
10 6
3 1 3
2 2 2
2 1 2
0 3 0
4 1 2
4 3 3
3 2 0
2 2 3
2 3 4
0 4 1
10 4
3 3 4
1 0 1
5 3 2
4 1 5
0 2 0
2 3 5
1 1 5
0 1 4
0 1 0
4 1 4
10 7
2 1 0
3 0 3
1 1 1
3 3 3
3 3 0
0 3 2
2 3 3
3 0 2
1 1 2
1 0 1
10 4
0 1 1
1 0 2
1 0 0
2 0 2
1 3 2
1 1 3
1 2 3
2 0 0
0 3 3
2 2 1
10 7
0 0 2
1 0 1
2 0 1
0 1 0
0 2 0
1 2 2
2 2 1
0 1 2
1 1 2
2 1 1
10 9
1 2 3
5 2 4
1 0 0
1 1 1
4 5 2
2 3 2
5 0 5
5 2 3
4 1 2
3 1 0
10 7
0 2 1
1 0 2
0 2 0
3 2 3
3 1 2
1 1 3
2 3 0
2 1 3
3 3 3
2 0 1
10 4
4 2 3
2 0 3
2 2 4
5 0 5
0 3 5
4 2 1
5 5 5
0 3 3
3 3 1
5 2 3
10 9
1 0 1
1 0 2
2 1 2
2 2 2
2 0 1
1 2 2
0 1 1
0 0 2
2 0 2
2 2 1
10 2
0 0 0
0 2 1
0 1 2
2 1 2
2 2 2
2 0 1
1 1 0
0 0 2
0 2 0
0 2 2
10 6
0 2 1
1 1 1
2 0 2
2 0 1
0 0 0
0 1 1
0 2 0
1 2 1
2 2 1
2 1 2
10 8
0 1 0
0 2 1
0 1 2
1 2 0
0 0 1
0 0 0
1 2 1
2 1 2
0 1 1
1 2 2
10 8
4 0 4
2 2 0
4 3 0
4 2 1
3 2 1
2 3 4
1 0 3
4 0 1
3 3 2
1 2 4
10 8
3 2 0
2 3 1
4 1 3
2 2 1
3 0 2
0 0 4
3 3 1
3 2 4
1 2 0
5 3 1
10 7
2 2 3
0 2 0
4 3 1
4 4 0
3 3 4
4 3 2
2 2 0
2 3 0
1 3 0
0 3 0
10 5
5 2 5
1 1 0
2 4 1
0 0 0
4 0 2
3 3 5
0 1 3
2 3 1
1 5 0
5 4 2
10 2
2 0 2
1 1 2
1 0 0
0 2 2
1 2 1
2 0 1
1 2 2
2 2 2
2 0 0
1 1 0
10 3
5 5 1
5 4 1
0 2 3
4 0 4
3 5 0
1 5 4
4 5 1
5 3 5
5 5 5
1 3 0
10 5
2 5 3
5 0 3
5 5 2
1 5 5
5 2 2
3 4 5
3 2 0
1 5 3
2 3 0
3 0 5
10 2
0 1 5
1 5 1
0 4 2
2 1 3
4 3 0
0 4 3
1 2 4
1 1 3
5 1 1
1 4 5
10 3
4 4 2
0 0 0
0 2 3
1 3 1
0 1 1
0 3 1
3 1 0
3 4 2
1 0 0
4 2 0
10 4
3 2 3
5 2 4
4 3 5
0 5 5
1 3 4
0 1 0
5 5 1
0 4 5
4 2 5
3 0 3
10 2
2 2 3
1 4 3
3 1 5
1 1 1
2 2 5
0 0 3
2 2 4
0 1 3
2 1 5
1 0 3
10 4
0 2 2
1 1 1
0 1 1
0 1 2
1 0 0
0 1 0
0 2 1
1 1 2
1 1 0
2 2 0
10 2
0 0 1
0 1 3
2 1 1
2 4 2
2 1 3
4 4 4
3 0 4
2 0 3
2 2 2
2 3 0
10 8
3 2 1
2 0 1
3 3 4
1 2 4
2 1 4
2 3 4
3 3 3
1 2 0
0 3 2
0 4 0
10 5
2 2 2
1 0 1
0 1 1
0 2 1
2 1 0
2 0 0
0 0 2
2 0 1
1 2 0
0 0 0
10 6
1 2 3
1 1 0
2 2 0
0 2 1
2 2 1
3 0 1
3 3 2
0 3 0
1 2 2
1 2 1
10 9
2 2 1
3 2 2
3 3 3
3 2 1
3 1 1
3 1 3
0 2 3
0 3 0
0 1 0
0 1 3
10 2
2 0 0
2 1 0
1 1 1
0 1 0
1 2 2
2 2 2
0 2 2
0 0 1
1 1 0
0 0 0
10 3
0 0 0
2 2 2
2 1 2
2 2 0
1 1 2
1 2 2
2 0 1
0 1 2
1 2 1
2 1 0
10 5
0 5 1
3 2 2
5 2 3
3 3 0
1 4 3
3 0 2
1 1 0
3 4 4
4 3 0
0 3 3
10 2
3 2 3
3 0 2
3 0 3
0 2 1
1 1 1
0 0 0
3 3 3
2 2 1
0 1 3
3 3 1
10 9
3 5 5
5 5 3
4 3 5
2 5 3
2 4 2
3 3 2
0 2 2
3 1 2
1 2 4
4 1 2
10 7
4 0 3
3 3 3
0 2 1
3 4 5
4 1 0
1 3 2
2 3 4
2 2 5
0 5 2
5 5 5
10 2
3 1 4
2 0 5
4 2 3
4 4 5
5 3 5
5 5 5
2 5 3
1 5 3
3 0 3
2 3 1
10 2
5 1 3
5 2 2
4 2 5
2 1 3
2 2 4
1 4 2
0 5 3
3 4 4
0 4 0
4 5 0
10 3
5 3 5
4 2 2
1 0 4
5 0 4
1 2 4
3 4 2
1 0 3
3 4 3
2 0 3
1 0 2
10 3
0 1 0
1 3 1
3 3 1
2 0 3
2 3 2
1 1 0
2 0 2
3 0 1
3 2 3
1 0 3
10 7
0 3 3
1 1 2
3 3 0
2 2 1
2 1 3
3 3 3
0 0 0
2 3 3
0 3 2
2 3 0
10 4
0 1 4
2 5 5
4 2 0
0 2 3
1 2 3
4 4 3
3 2 1
3 0 2
3 5 5
0 5 4
10 9
1 2 1
2 1 1
1 3 1
1 3 2
2 0 3
3 0 0
0 3 3
3 2 1
2 0 2
3 2 0
10 5
1 2 0
0 0 0
0 1 1
0 2 1
0 1 0
2 1 1
1 0 0
1 1 0
0 0 1
1 2 2
10 6
4 4 3
4 0 2
1 5 5
1 1 2
2 2 5
1 3 0
1 0 1
3 1 4
4 1 5
5 5 2
10 5
2 0 4
3 0 0
4 4 0
4 2 4
4 4 4
4 4 1
2 2 0
1 4 1
2 4 2
0 4 4
10 2
2 1 2
2 1 3
1 2 3
0 3 4
4 1 4
4 2 4
2 1 0
3 0 3
3 1 3
4 0 2
10 2
2 2 4
4 4 1
2 3 1
2 0 4
0 2 2
0 1 4
0 4 2
1 2 3
3 4 1
3 0 0
10 8
3 5 3
0 3 4
1 1 3
1 1 1
2 3 3
0 3 3
4 4 2
3 4 4
5 1 5
2 0 0
10 6
0 0 2
2 2 0
0 0 1
0 1 0
2 2 1
1 1 0
1 1 1
0 1 2
0 2 0
1 0 2
10 6
0 2 1
2 1 2
1 0 3
0 1 3
2 2 1
1 3 0
3 0 0
1 1 2
1 3 2
3 1 0
10 6
3 5 1
4 5 4
1 2 0
0 3 0
2 4 4
5 0 0
5 2 2
4 2 2
4 0 0
2 3 5
10 8
2 1 0
2 2 1
1 2 1
2 0 0
0 1 1
0 2 1
1 1 2
0 2 2
1 1 0
2 1 1
10 4
2 1 0
0 0 0
1 1 1
2 2 2
1 2 1
2 0 1
1 0 0
0 1 0
0 1 2
0 0 2
10 7
2 3 0
1 1 0
3 3 1
3 0 1
1 2 0
3 3 2
2 3 1
3 3 3
0 2 3
3 1 1
10 2
0 0 2
0 2 0
0 2 2
1 2 0
1 0 0
2 2 1
0 1 0
1 1 0
2 1 0
2 1 1
10 8
2 1 2
0 1 2
2 2 1
1 1 1
1 1 0
0 2 2
2 0 2
0 0 1
0 2 0
0 1 1
10 5
3 1 0
3 3 2
3 2 0
1 0 3
3 3 1
1 3 3
0 2 0
3 0 0
0 1 3
2 2 2
10 8
0 0 3
0 3 2
1 2 3
1 3 3
0 1 0
2 0 3
2 2 2
3 2 3
2 2 0
1 3 1
10 3
0 3 1
2 3 0
3 0 3
2 0 1
3 2 3
1 1 0
0 1 3
3 1 3
3 1 2
1 2 3
10 6
4 2 4
2 3 0
1 3 2
5 2 4
3 4 4
3 2 2
2 4 4
4 0 1
0 2 1
1 4 4
10 8
3 1 0
4 0 0
0 2 4
2 0 2
2 2 2
1 2 1
2 1 2
1 0 0
2 4 0
4 3 0
10 3
3 2 3
0 1 0
4 2 3
5 2 0
5 4 0
3 2 0
4 3 0
5 1 5
0 5 4
2 3 3
10 4
2 2 1
2 1 2
1 1 1
0 2 1
2 0 0
2 1 1
2 1 0
0 1 2
1 1 2
0 2 2
10 9
4 4 1
2 5 1
1 4 1
2 5 3
5 3 1
5 0 4
2 3 4
2 0 3
5 5 1
4 0 0
10 3
3 3 2
5 3 3
2 4 1
0 5 2
3 5 3
1 0 3
0 2 2
2 0 5
4 4 3
4 4 2
10 6
2 1 4
4 0 0
0 1 0
2 1 2
3 4 1
4 3 3
0 2 2
4 3 2
1 4 2
3 0 1
10 4
3 2 4
0 4 4
0 0 3
4 0 2
3 0 3
4 0 3
2 1 2
3 3 3
2 4 0
0 3 2
10 2
3 1 2
0 1 3
3 2 2
0 2 3
0 1 0
2 3 0
1 3 1
3 1 0
1 2 1
0 0 0
10 2
2 1 0
2 0 5
2 3 1
4 3 1
2 5 3
0 2 4
4 0 2
5 0 2
1 4 5
0 2 0
10 4
3 0 3
0 0 2
0 3 2
3 1 2
1 1 2
3 0 0
2 2 2
1 0 0
0 0 0
2 0 1
10 3
1 0 4
1 4 3
1 0 3
2 3 1
0 1 4
1 4 1
3 0 4
3 4 1
2 4 4
2 2 0
10 6
0 1 0
1 0 1
0 1 2
2 2 0
0 2 2
1 2 0
0 1 1
0 0 2
2 0 1
1 1 1
10 3
4 5 3
3 3 1
4 2 0
1 3 5
0 3 3
4 5 2
5 2 3
0 5 2
5 3 5
3 0 5
10 4
3 0 2
2 1 3
0 0 5
1 3 0
4 0 5
2 1 0
0 4 5
0 1 0
4 5 5
2 3 1
10 6
1 3 4
3 5 0
1 0 5
4 1 4
4 1 0
3 1 4
2 3 5
4 4 4
2 1 5
5 0 2
10 9
3 3 5
3 1 1
1 3 5
5 5 4
1 1 2
3 5 0
0 5 2
3 2 2
4 0 3
4 2 0
10 5
0 3 2
1 0 0
2 0 1
2 0 2
3 4 0
0 0 3
3 3 3
4 3 4
4 0 1
3 3 4
10 3
3 0 2
1 1 3
0 2 1
3 0 1
1 3 3
2 3 3
0 3 1
0 1 2
1 1 1
2 0 0
10 8
0 1 1
2 2 1
1 0 0
2 1 1
0 2 2
2 0 2
1 0 2
0 1 2
1 1 1
1 0 1
10 6
2 3 0
3 0 2
1 0 3
0 2 3
3 3 3
1 2 3
0 0 0
0 1 2
1 2 2
3 3 1
10 6
3 0 5
4 1 3
2 2 0
5 4 2
3 0 0
0 5 4
1 4 3
1 4 4
0 2 2
4 5 1
10 2
2 1 3
3 0 3
2 3 1
0 0 2
0 2 0
2 2 2
0 1 2
2 0 3
3 1 2
1 2 1
10 8
5 3 2
1 5 4
1 2 3
5 1 3
5 5 2
4 0 3
5 0 1
1 2 0
3 2 4
5 2 4
10 8
1 0 1
1 2 0
2 1 0
2 0 1
1 1 1
1 2 2
2 0 2
0 1 1
1 1 0
0 0 2
10 5
3 2 2
1 2 2
2 1 2
1 2 3
1 1 3
2 0 2
2 3 3
0 2 2
3 3 1
0 3 3
10 5
3 0 0
2 1 3
3 2 0
1 0 1
0 0 3
3 1 3
3 2 2
1 1 3
0 3 3
1 3 0
10 8
4 5 0
1 3 5
2 0 5
5 2 0
5 3 4
5 4 3
5 2 1
0 5 0
1 3 0
4 4 5
10 4
3 4 0
0 0 3
1 2 5
5 0 4
0 2 3
5 1 1
3 5 2
2 1 2
0 3 5
3 1 4
10 8
0 1 4
1 2 0
1 4 3
2 4 4
3 0 1
4 0 0
3 4 5
2 4 0
0 3 2
0 5 5
10 4
3 4 4
2 1 1
1 1 2
3 3 3
2 0 1
4 2 4
4 4 3
0 2 2
1 4 0
3 0 1
10 9
2 4 4
0 2 0
5 5 0
4 5 5
4 1 3
5 5 1
2 1 1
3 0 5
2 3 0
3 1 1
10 8
0 0 3
3 3 1
3 2 0
0 3 0
1 3 3
2 3 2
1 3 0
0 2 1
1 1 2
2 2 0
10 8
4 1 3
4 4 2
3 0 0
2 1 1
1 2 4
4 1 2
0 2 3
1 1 4
4 3 4
3 3 4
10 5
2 3 2
0 1 0
1 1 1
1 3 2
1 0 3
2 1 2
3 1 0
0 0 0
1 0 0
0 1 1
10 6
1 1 1
0 3 0
3 2 1
2 0 1
2 0 0
2 1 3
2 1 0
3 3 2
3 3 1
2 3 1
10 3
2 2 4
1 2 1
2 4 2
0 0 4
3 0 0
1 0 3
0 0 1
3 4 3
3 1 3
3 3 1
10 9
0 5 3
3 4 3
2 5 5
5 5 0
4 2 5
4 3 0
4 0 1
3 4 5
0 4 1
4 0 4
10 2
0 1 4
2 0 1
2 0 4
4 0 2
5 5 5
3 2 5
5 3 0
5 5 4
1 3 4
2 3 1
10 4
2 0 0
1 0 1
0 2 1
0 2 2
1 0 2
1 1 1
2 1 1
2 2 2
0 0 0
2 1 2
10 2
2 0 2
0 0 1
2 1 2
0 0 2
1 1 1
1 0 0
2 1 0
1 0 2
2 2 2
0 0 0
10 8
0 1 1
2 2 2
1 2 1
1 1 1
0 2 0
1 2 2
2 1 0
0 1 2
1 0 2
0 2 2
10 5
1 2 0
0 1 1
2 1 0
2 0 1
2 1 2
2 1 1
0 1 0
1 1 0
1 0 1
1 1 2
10 5
2 0 1
3 2 2
4 1 1
0 1 0
2 4 2
3 1 2
1 4 3
0 3 2
0 2 1
1 3 0
10 8
0 0 1
2 2 3
2 3 2
0 2 1
3 3 2
1 2 0
0 0 0
2 1 3
1 2 1
2 2 1
10 3
1 5 2
4 5 4
0 3 1
0 4 2
3 4 0
2 1 5
5 5 2
4 3 0
4 4 5
4 5 3
10 8
0 0 1
4 2 1
3 2 0
2 4 0
2 3 2
2 0 2
1 2 4
1 0 3
2 2 0
4 4 0
10 4
1 2 2
2 0 1
1 1 2
2 1 0
1 2 1
1 1 1
0 0 1
0 1 1
0 2 2
2 0 2
10 4
3 3 0
3 1 0
1 1 0
3 3 3
3 2 0
2 3 0
0 0 1
2 0 1
3 2 1
3 0 1
10 2
4 3 5
3 5 5
1 5 1
5 4 4
5 4 2
4 5 0
3 2 5
3 3 1
1 5 5
3 3 2
10 5
0 5 1
0 2 0
3 1 0
2 2 5
3 2 1
1 1 3
3 2 2
2 2 1
5 3 2
5 0 1
10 2
3 2 0
0 0 4
0 3 4
4 1 1
3 5 5
3 4 1
2 1 4
1 3 0
1 2 3
0 3 0
10 8
2 2 0
1 0 0
0 2 0
0 0 2
0 1 0
1 1 0
1 0 2
0 0 0
1 2 2
1 1 1
10 5
2 0 0
2 2 2
0 1 2
0 0 0
0 2 2
1 1 0
1 2 1
2 1 2
2 0 1
1 1 2
10 3
3 4 4
5 3 2
2 3 1
0 3 3
5 2 0
1 0 2
1 1 3
3 3 5
3 5 0
5 5 0
10 2
0 0 1
2 3 2
1 0 3
1 3 0
1 3 3
0 2 1
1 0 2
1 2 1
3 1 1
2 2 2
10 4
3 3 1
0 0 3
0 0 2
0 1 0
2 0 1
2 1 1
2 2 3
1 0 0
0 0 0
0 2 3
10 7
0 0 0
0 0 3
1 2 3
3 2 2
3 1 0
2 3 0
1 0 2
3 0 3
2 1 0
2 2 2
10 8
2 1 3
1 1 0
0 3 2
0 2 0
1 3 0
3 2 3
3 1 2
0 3 3
2 3 2
2 1 2
10 6
2 0 2
1 0 2
1 2 1
0 1 0
0 2 2
0 0 2
1 1 0
1 1 2
0 1 2
0 1 1
10 4
1 1 1
2 0 0
2 0 1
1 0 0
0 2 1
0 0 0
0 0 2
1 0 1
2 2 0
0 2 2
10 3
3 5 5
0 2 1
1 5 2
5 4 2
0 5 5
4 2 1
4 3 2
1 2 3
0 3 3
3 3 5
10 8
2 2 4
3 1 2
3 2 2
4 2 3
3 2 1
0 4 3
3 2 4
3 1 0
2 0 4
3 4 4
10 9
1 3 0
5 1 2
2 2 1
3 2 0
5 1 0
4 5 5
1 4 4
4 4 1
2 1 3
0 4 5
10 3
0 2 2
2 0 0
1 2 2
1 1 0
0 2 1
2 2 0
2 2 1
0 1 0
1 0 1
1 1 2
10 9
4 2 1
2 4 1
5 5 0
1 1 3
4 4 1
0 4 0
5 4 0
3 1 1
2 0 2
5 4 5
10 8
2 4 5
5 4 3
4 2 2
5 1 4
0 2 1
3 4 1
0 5 5
0 2 5
3 1 0
0 0 1
10 3
2 1 1
1 2 0
0 0 2
2 3 0
0 2 0
2 1 2
0 1 1
2 2 2
1 2 3
1 3 0
10 2
5 5 0
5 1 5
2 0 1
0 2 2
1 4 4
4 5 5
0 1 3
4 5 3
3 5 4
4 4 3
10 5
1 4 4
3 0 1
0 4 4
3 3 4
3 1 3
0 4 3
0 1 3
0 0 4
4 3 1
0 3 3
10 9
5 5 3
0 1 2
4 0 4
3 0 4
3 2 0
2 0 4
1 4 5
2 3 5
4 5 3
3 3 0
10 2
3 2 4
5 2 2
1 0 0
5 2 1
5 5 4
4 5 5
5 3 2
2 2 0
0 5 5
0 0 0
10 8
0 1 2
0 3 1
2 1 1
1 2 3
0 2 2
1 0 0
0 2 3
3 3 2
1 1 0
1 0 3
10 8
0 0 2
1 1 0
0 0 1
1 0 1
0 2 0
1 0 2
1 1 1
1 2 1
0 1 0
2 2 2
10 4
2 3 2
1 0 3
3 0 1
1 2 3
3 2 1
0 1 2
0 0 0
3 3 0
2 0 1
3 2 3
10 9
0 5 5
1 5 3
3 4 5
4 1 3
4 4 2
3 1 4
0 0 5
3 1 3
4 3 2
2 3 4
10 9
4 3 3
4 1 3
3 3 4
3 4 4
2 2 0
0 1 3
1 0 2
4 3 0
0 0 4
3 2 1
10 7
0 3 3
1 1 2
2 1 2
2 1 0
2 1 3
3 0 2
0 1 0
3 3 2
2 2 1
1 2 2
10 3
2 3 1
3 2 2
0 1 1
2 2 2
2 1 0
1 0 3
0 3 2
2 3 0
3 0 2
2 2 3
10 6
2 0 1
0 2 2
2 0 0
2 1 0
1 1 0
1 2 2
0 0 1
0 1 0
1 2 0
1 0 1
10 4
2 1 1
3 2 0
0 2 3
3 1 2
2 0 2
3 0 3
1 0 3
2 2 3
0 0 3
3 2 3
10 8
2 0 1
2 0 2
1 2 1
2 1 1
2 0 0
0 2 1
0 0 1
0 0 2
1 0 1
0 1 0
10 3
0 1 1
2 0 0
0 0 2
1 2 0
2 1 2
2 1 0
2 0 1
2 2 2
0 0 1
0 2 0
10 6
2 3 4
4 2 0
2 4 0
0 3 3
5 5 0
2 1 5
3 3 0
4 4 3
4 0 1
1 5 0
10 9
1 1 1
0 0 0
2 1 1
2 2 0
0 0 2
0 1 1
2 0 2
0 1 0
1 0 2
1 0 0
10 4
0 1 1
2 0 1
2 2 0
2 1 0
2 2 1
0 2 1
2 0 2
1 0 1
0 1 2
1 1 2
10 3
0 2 3
2 3 2
1 2 2
1 2 1
3 3 2
2 2 3
2 3 1
3 0 3
0 2 2
3 1 1
10 3
2 3 1
1 2 3
0 2 0
3 2 2
1 3 1
3 0 1
2 0 3
2 1 3
2 2 1
1 3 0
10 9
4 5 0
0 0 4
5 2 0
5 5 3
0 1 0
5 1 4
2 1 2
4 5 1
1 2 5
0 5 4
10 7
3 3 0
0 2 2
0 1 2
2 1 0
4 2 2
2 5 2
4 1 0
5 2 5
2 4 1
4 3 5
10 7
2 1 4
5 1 4
5 2 3
4 0 5
1 1 0
5 3 4
3 3 1
3 4 1
5 2 0
1 4 4
10 9
2 0 3
1 3 2
0 0 0
2 3 3
0 1 2
2 1 2
2 2 3
0 1 0
1 3 3
0 3 3
10 5
4 1 0
5 3 4
1 1 4
3 4 2
1 1 5
3 4 3
2 0 5
4 4 3
2 5 0
3 5 2
10 2
3 2 1
4 4 0
0 1 1
2 2 3
4 3 3
1 2 0
3 3 4
1 1 0
2 2 1
1 1 4
10 5
2 0 1
2 3 2
1 1 2
2 2 2
3 1 0
0 2 1
2 3 3
2 0 0
0 0 0
1 3 1
10 8
0 1 1
1 2 4
4 2 1
4 0 2
3 4 3
0 2 0
1 4 3
1 0 3
0 3 2
1 0 5
10 6
0 2 1
0 0 2
2 0 0
2 2 0
2 1 0
0 2 0
1 2 1
1 1 1
1 1 2
0 1 1
10 7
1 1 1
2 1 0
0 2 2
2 0 2
2 0 1
2 0 0
1 0 0
0 1 2
1 0 1
2 2 0
10 4
3 2 3
2 0 0
1 3 1
0 0 1
1 1 3
3 0 0
0 2 2
3 0 3
1 3 2
0 3 3
10 7
2 0 2
3 3 2
0 0 0
2 2 2
1 1 3
2 0 0
0 2 0
3 2 3
2 1 1
2 1 3
10 2
3 1 0
4 3 2
4 3 4
0 3 5
1 0 1
2 2 4
1 3 3
1 3 4
1 2 1
2 0 2
10 5
1 2 1
2 2 0
0 1 1
2 1 0
1 2 2
0 0 0
0 1 0
2 2 1
2 0 2
2 0 1
10 6
3 3 3
3 4 0
4 3 4
4 0 0
0 3 1
1 2 0
2 1 2
4 1 1
3 1 3
4 4 3
10 8
0 1 2
2 0 2
2 2 2
0 2 1
1 2 1
2 2 1
2 2 0
0 0 1
1 1 2
2 0 0
10 3
3 1 0
3 4 2
3 0 4
0 3 0
0 4 3
4 4 0
1 3 4
3 1 2
4 1 0
2 0 2
10 8
5 3 1
3 5 0
0 2 5
5 4 3
3 1 2
0 1 1
0 0 3
2 4 3
3 3 1
0 2 1
10 8
4 3 3
0 2 4
1 4 2
3 2 2
2 2 0
1 1 2
2 0 2
4 2 2
4 4 1
0 1 1
10 6
0 0 3
0 1 1
5 4 0
0 0 0
3 3 2
0 5 1
5 0 0
0 4 1
0 4 3
5 1 4
10 4
2 3 0
4 5 1
2 1 4
3 1 3
1 1 1
2 4 4
5 2 1
0 5 0
3 0 5
5 0 4
10 4
1 4 2
1 2 2
1 0 4
0 2 3
4 1 4
3 4 2
3 4 0
4 2 4
3 1 3
2 2 0
10 4
0 5 4
0 5 0
3 1 0
3 4 0
5 3 3
1 1 5
4 4 4
1 2 5
0 1 5
2 0 0
10 3
0 2 3
2 0 1
3 3 0
1 1 0
1 2 0
3 0 0
0 3 1
3 0 2
0 1 3
1 2 1
10 7
4 1 1
2 0 0
2 5 1
1 1 5
3 4 4
5 1 2
1 0 0
3 2 2
0 2 4
2 5 2
10 7
2 1 0
2 0 2
1 0 0
0 1 1
2 1 1
0 0 1
1 2 1
1 0 1
1 2 0
0 1 2
10 8
0 2 2
2 4 1
0 4 1
4 0 1
2 4 3
3 1 0
1 0 3
3 3 1
3 2 0
3 4 4
10 4
2 1 2
0 1 0
1 2 1
0 1 2
0 0 1
1 2 0
2 2 2
2 0 1
1 1 0
1 1 1
10 6
0 0 1
3 3 0
3 2 3
2 0 2
3 2 0
3 3 2
2 0 3
3 3 3
2 0 0
1 2 0
10 3
1 0 1
2 1 2
2 2 3
3 3 1
2 2 2
0 3 0
1 3 3
2 3 0
1 0 3
0 0 2
10 9
0 2 0
1 2 2
1 1 2
2 1 2
0 0 2
2 1 0
2 2 0
0 1 1
1 1 0
0 2 2
10 2
0 0 3
2 1 4
2 1 0
1 3 3
3 1 2
0 3 1
4 3 2
3 3 0
4 4 4
2 0 2
10 3
2 2 2
0 2 0
1 2 0
2 2 0
2 0 1
0 1 1
2 2 1
1 1 1
1 0 0
0 1 2
10 6
4 2 1
3 2 4
3 3 1
2 2 4
4 1 2
3 3 4
4 4 4
4 0 4
0 4 4
3 1 4
10 9
1 5 3
3 0 1
5 5 4
3 1 0
4 4 1
1 3 4
5 0 5
1 1 1
4 2 0
1 4 2
10 5
1 1 0
2 2 1
2 1 1
2 1 0
1 1 2
0 2 1
0 1 0
0 1 2
1 2 0
0 2 2
10 5
0 1 3
1 0 1
0 3 3
0 0 2
1 2 2
3 3 2
2 3 0
0 1 0
3 0 1
1 1 0
10 3
0 4 1
2 4 1
2 1 2
1 1 1
2 2 3
4 1 3
0 4 0
0 0 1
3 3 4
3 2 2
10 4
5 4 4
3 3 5
2 4 0
2 1 0
2 4 3
2 5 1
4 5 1
4 1 0
1 3 3
2 3 4
10 9
1 3 2
0 0 1
2 0 1
3 2 0
1 3 3
3 3 0
0 0 2
2 2 3
2 1 0
1 2 1
10 9
1 5 5
1 3 0
1 0 5
1 4 5
4 4 1
1 0 4
5 0 0
0 3 3
0 5 3
1 4 1
10 8
3 1 5
3 0 2
1 1 1
3 5 3
3 4 5
2 1 1
3 4 0
1 3 4
4 5 5
4 0 5
10 5
3 1 0
4 3 5
0 3 4
1 0 0
5 3 4
1 5 3
5 0 5
5 2 2
1 4 1
0 1 3
10 9
3 0 3
3 2 3
1 4 3
3 0 1
2 1 3
3 0 0
2 0 1
0 2 3
0 1 1
0 4 4
10 6
1 2 0
3 2 3
4 4 0
1 4 0
4 1 4
0 3 4
2 0 1
4 1 0
1 0 0
0 0 2
10 5
1 1 2
1 2 2
1 2 4
1 1 1
3 3 1
4 3 3
2 3 4
1 3 1
2 4 1
1 4 3
10 3
2 1 2
0 0 2
0 2 2
1 2 1
0 2 0
1 2 2
2 1 1
0 2 1
2 1 0
1 0 2
10 5
5 5 0
0 4 1
1 5 2
4 1 5
3 5 2
1 1 3
1 1 0
5 2 3
3 2 1
0 3 3
10 6
4 2 0
4 3 3
0 4 4
3 0 4
4 0 1
0 3 1
4 1 2
0 1 0
3 3 4
0 0 1
10 9
1 0 4
5 2 1
4 3 0
2 4 3
2 3 4
0 4 5
1 3 3
5 2 2
5 1 0
3 1 4
10 9
1 2 3
2 4 2
5 1 0
1 1 2
3 2 0
2 0 4
4 2 2
1 5 5
1 2 0
2 2 5
10 8
2 1 2
1 2 2
0 1 2
2 2 0
0 0 1
0 0 0
1 1 0
1 0 1
0 2 0
0 2 2
10 6
0 2 3
4 3 3
1 0 1
3 3 0
0 0 4
2 2 1
2 0 2
2 1 2
4 2 3
3 3 4
10 8
0 5 5
3 2 0
5 3 2
3 3 2
4 5 1
5 4 5
5 4 2
2 3 1
5 3 0
5 0 4
10 2
4 2 5
3 4 4
1 5 1
1 1 5
0 0 4
2 4 0
2 1 1
2 0 4
2 1 5
0 0 1
10 6
3 4 2
0 0 2
4 5 3
0 0 5
1 5 0
5 4 0
1 1 3
0 5 1
5 0 4
0 0 0
10 9
1 2 3
1 0 0
3 2 0
2 2 1
1 1 3
2 3 2
0 2 3
1 3 0
2 3 3
3 0 0
10 8
2 2 1
0 0 3
4 4 2
0 1 3
1 0 4
4 4 1
3 4 0
2 1 3
2 3 2
4 1 2
10 4
2 0 1
1 1 0
1 0 0
2 2 0
2 2 1
0 1 0
0 2 2
0 2 1
1 2 2
1 0 1
10 3
4 0 2
1 4 0
0 4 3
4 2 2
3 1 2
3 4 2
1 4 1
1 2 2
1 1 2
2 1 3
10 9
0 2 1
1 0 0
1 2 1
0 0 0
1 2 2
2 3 2
1 2 0
3 3 0
1 0 2
0 2 0
10 9
1 0 1
2 2 1
2 0 0
0 2 2
2 1 3
1 2 3
1 3 2
0 3 3
2 1 1
1 2 0
10 9
4 4 1
5 5 2
5 1 4
4 0 1
5 0 5
5 2 5
2 0 5
1 4 2
3 1 2
0 0 2
10 4
2 1 3
0 2 2
0 2 4
4 1 1
3 2 3
4 3 2
3 2 1
1 0 3
3 3 2
2 0 0
10 7
0 0 2
2 2 0
1 1 1
2 0 1
1 0 2
0 1 0
2 0 0
0 1 1
1 2 1
2 1 2
10 4
2 2 0
2 0 2
1 1 1
1 1 2
0 2 1
2 1 1
1 2 0
1 0 2
1 0 0
2 0 0
10 6
3 1 4
4 0 3
1 3 2
3 4 0
4 2 3
1 3 4
0 3 0
1 4 3
2 2 1
3 4 2
10 8
0 0 0
2 1 1
1 0 0
2 0 1
2 0 2
1 2 2
2 1 2
1 1 0
2 2 2
0 0 2
10 6
4 2 2
1 4 2
1 3 1
3 4 3
2 3 2
2 0 0
4 2 4
4 1 3
2 2 1
3 4 4
10 4
5 3 0
5 4 3
5 2 5
4 0 3
2 2 2
0 1 0
1 4 3
3 0 3
1 0 1
3 5 4
10 7
4 0 0
5 3 0
3 3 3
3 0 4
2 5 1
1 2 1
5 3 5
5 0 5
4 3 4
1 1 3
10 7
3 1 2
1 3 0
0 4 1
2 4 4
0 3 3
3 3 0
4 3 0
4 4 1
2 2 0
1 0 3
10 9
1 2 3
2 4 1
2 3 1
3 1 1
1 2 4
1 2 2
0 0 3
3 2 1
4 1 3
4 4 1
10 8
1 2 2
1 1 1
0 1 0
1 0 1
2 0 0
1 0 2
1 1 2
0 0 1
2 2 1
0 2 1
10 8
4 1 0
0 4 3
0 3 0
0 2 1
2 4 3
4 1 3
0 4 0
4 3 4
4 0 3
4 0 4
10 5
2 1 3
1 3 1
2 2 1
3 1 3
0 0 1
3 2 1
1 3 2
3 0 0
0 3 1
1 3 3
10 2
2 3 2
4 3 1
3 0 1
1 3 4
4 1 3
2 1 3
2 4 4
1 4 1
0 3 2
3 3 1
10 9
1 2 3
1 1 2
3 1 4
2 3 4
2 4 3
2 5 4
3 3 0
4 5 2
4 3 5
4 0 1
10 4
2 0 1
2 1 2
2 1 0
2 0 0
1 0 1
1 1 2
0 0 2
2 1 1
0 2 2
1 1 0
10 6
3 2 4
4 3 1
4 4 1
1 0 0
0 4 2
1 0 1
2 0 2
2 4 0
0 0 4
3 4 0
10 2
2 4 1
1 2 3
1 3 2
1 0 3
0 1 5
3 0 4
1 1 3
5 5 2
5 4 5
0 4 5
10 7
1 3 2
3 1 0
1 3 4
2 0 1
0 2 0
0 1 1
4 1 1
4 4 1
1 2 0
0 0 1
10 9
0 2 1
1 2 2
0 0 1
1 2 1
0 1 1
2 0 0
1 0 0
0 0 0
2 2 1
0 2 2
10 7
2 5 4
2 0 3
0 0 1
4 2 4
4 0 0
1 5 2
0 4 5
1 0 3
1 0 2
0 5 3
10 4
1 5 2
1 1 0
2 1 0
1 2 1
4 1 5
1 2 5
5 3 2
2 0 5
5 1 0
5 0 1
10 5
1 2 3
3 1 2
2 1 3
3 1 0
3 2 3
3 0 1
1 1 1
1 1 2
3 3 2
1 3 1
10 8
0 1 0
4 3 2
1 2 5
1 2 1
5 1 0
0 1 4
5 0 3
1 1 2
4 2 4
4 1 3
10 4
1 2 0
3 1 2
2 0 3
3 1 1
0 2 1
1 3 3
1 2 3
1 1 1
0 3 1
0 3 3
10 6
1 1 1
2 1 0
2 1 2
0 2 2
1 1 2
0 0 1
0 0 0
0 2 1
1 1 0
0 1 0
10 6
4 1 2
4 5 4
2 3 1
5 0 3
1 0 3
0 0 1
3 2 3
1 0 1
2 3 5
3 0 1
10 8
4 0 4
0 2 2
0 0 4
3 3 2
4 4 0
3 2 2
2 4 0
4 0 1
1 3 3
1 3 0
10 7
4 3 3
5 5 5
1 1 5
3 5 3
0 5 4
4 2 0
3 1 3
4 5 2
4 3 4
2 3 1
10 6
1 2 2
0 2 2
3 3 3
0 1 3
0 2 1
1 0 0
0 2 3
3 0 1
2 3 1
1 2 3
10 5
2 0 3
1 0 2
1 0 1
0 0 1
3 1 3
1 3 1
2 3 2
1 2 1
0 0 3
1 3 0
10 4
2 1 1
4 1 0
1 4 4
1 0 2
4 0 4
1 3 4
1 0 0
4 3 3
3 1 2
2 2 2
10 5
1 3 4
2 0 0
0 4 4
2 0 1
4 0 1
1 3 3
5 1 1
4 5 5
1 5 3
0 3 0
10 8
2 4 1
0 2 4
4 3 3
0 1 3
1 1 4
0 0 0
0 1 0
3 4 1
0 3 2
3 1 4
10 2
1 1 0
3 2 1
3 1 3
2 0 1
2 3 3
3 2 3
0 2 2
2 2 3
1 0 0
2 1 0
10 7
3 0 0
4 0 4
3 0 3
4 3 0
2 2 3
3 3 0
1 0 4
2 4 0
3 1 3
1 1 4
10 9
1 1 2
0 0 0
2 0 0
2 1 2
1 0 1
1 2 0
1 0 2
2 0 2
0 2 0
2 2 1
10 3
1 0 2
2 0 1
1 1 1
1 2 2
0 0 2
0 2 0
1 0 0
2 2 0
0 0 0
1 2 0
10 4
3 3 1
5 4 3
3 3 0
3 0 4
0 2 0
4 2 0
0 1 4
5 5 5
2 2 4
1 3 0
10 4
1 2 2
2 0 1
1 1 2
2 1 2
2 0 0
0 0 2
0 1 1
1 1 0
1 2 0
2 2 1
10 9
2 0 3
0 1 4
5 4 1
4 3 3
5 5 5
1 4 0
0 2 2
4 5 3
3 5 3
4 2 0
10 4
0 2 0
2 0 1
2 4 0
4 0 1
3 3 4
0 2 2
2 1 2
1 4 1
3 4 0
0 3 4
10 3
2 0 3
3 2 3
2 1 3
1 1 2
2 3 3
2 1 0
3 3 2
0 2 2
1 3 0
1 2 2
10 8
0 0 2
2 1 1
0 1 0
0 0 0
1 2 1
0 0 1
2 1 2
1 0 2
1 1 2
0 2 2
10 3
2 0 2
4 5 1
2 3 0
4 2 2
3 2 1
2 0 4
1 2 1
0 2 1
4 2 5
0 1 4
10 9
3 3 1
0 1 1
1 0 0
3 2 3
1 1 1
2 3 2
1 0 3
0 3 2
2 3 0
1 2 0
10 8
3 3 0
0 1 3
0 0 2
1 3 0
0 3 1
3 0 3
1 2 0
2 3 2
1 0 1
1 3 3
10 4
1 4 5
5 5 2
0 1 1
1 0 3
5 3 2
4 2 1
1 2 4
3 5 1
5 4 5
2 4 3
10 3
1 3 3
3 3 0
1 2 2
0 3 2
3 1 1
1 1 2
3 0 1
1 3 1
0 2 2
0 1 1
10 2
1 2 0
1 0 2
2 1 2
0 0 2
0 1 2
1 1 1
0 1 0
0 2 0
1 1 0
0 2 1
10 6
0 1 0
2 0 1
0 0 2
0 0 1
1 0 2
1 2 0
1 1 2
0 1 2
2 0 2
2 1 2
10 9
1 2 2
2 1 0
0 2 1
2 2 1
1 0 0
0 1 1
1 0 2
2 0 2
0 0 1
0 0 2
10 8
4 4 3
5 4 4
4 3 1
0 5 5
3 4 4
4 1 3
0 5 4
4 0 0
3 1 0
2 0 3
10 8
2 3 0
1 2 2
2 2 2
3 0 2
1 0 3
0 1 2
0 1 3
2 3 1
3 1 0
3 2 0
10 7
0 2 0
0 0 1
2 0 1
0 1 0
1 1 1
2 2 2
0 1 1
2 0 0
2 2 1
1 2 1
10 8
2 1 2
0 4 1
1 0 4
4 2 4
0 1 4
0 0 0
0 0 3
1 0 0
0 4 3
3 2 3
10 7
3 1 3
0 0 3
1 3 1
1 0 2
1 3 2
3 0 3
2 2 1
1 2 1
0 0 1
2 3 1
10 4
0 2 0
1 0 5
0 3 2
0 2 2
4 0 1
0 5 5
0 4 0
3 0 2
3 5 4
2 1 5
10 4
1 2 2
3 2 3
1 3 3
2 1 2
3 0 2
2 1 1
2 0 2
3 0 1
2 3 1
0 3 2
10 2
0 0 0
1 2 2
1 0 2
0 0 1
1 1 0
2 1 0
2 2 0
0 0 2
2 2 2
0 1 0
10 4
2 1 0
1 2 1
1 2 0
2 2 2
0 1 1
2 2 0
0 0 0
1 0 1
2 0 0
0 2 1
10 3
2 2 2
2 1 1
1 2 0
1 0 0
1 1 2
0 2 1
1 0 1
2 0 1
1 2 2
2 0 0
10 3
3 2 4
3 4 1
2 2 4
3 4 0
2 1 2
4 4 1
4 1 3
2 4 0
4 0 3
0 4 3
10 4
0 1 3
1 2 1
0 1 1
3 3 1
3 3 3
0 1 0
3 1 0
2 3 2
1 3 0
1 0 1
10 7
3 3 2
3 1 0
0 3 3
3 2 2
2 2 1
1 3 2
3 0 0
2 2 0
1 1 1
0 2 2
10 6
1 0 5
3 1 3
1 1 1
1 0 1
5 2 3
3 4 1
1 1 3
3 3 3
5 0 5
1 5 2
10 7
2 2 0
1 1 2
2 2 2
1 2 0
1 0 2
1 2 2
2 2 1
2 0 1
1 0 1
0 0 0
10 2
0 0 1
0 2 3
3 2 1
0 2 1
1 3 0
1 0 3
0 1 1
2 2 1
0 0 0
3 3 0
10 4
5 0 0
3 1 1
4 0 0
3 2 0
2 4 3
0 5 2
5 0 5
1 3 4
1 0 0
4 2 3
10 2
1 3 3
0 2 0
3 0 2
2 3 2
1 2 0
2 1 2
1 0 1
3 0 3
1 2 2
0 3 2
10 5
2 0 0
0 2 2
0 1 0
1 2 1
0 0 2
1 0 1
0 1 2
2 1 2
1 2 2
1 0 0
10 5
0 1 1
1 0 0
1 0 2
1 2 1
2 1 0
0 0 1
0 0 2
2 0 1
0 2 1
1 2 2
10 5
2 2 2
4 1 4
2 3 3
3 0 3
0 2 1
3 2 1
4 3 3
2 2 3
4 2 3
4 1 1
10 9
2 1 0
0 1 2
1 2 1
1 1 2
2 0 1
1 0 2
1 2 0
1 1 0
1 0 1
0 2 1
10 5
1 2 2
2 1 2
0 3 3
3 1 1
1 1 0
3 2 2
3 0 3
2 3 0
1 2 0
3 2 1
10 3
0 4 0
2 0 4
4 2 3
2 1 0
2 1 3
2 0 0
1 0 0
0 4 4
4 3 3
0 4 3
10 7
0 2 2
2 0 0
1 2 0
0 2 1
2 2 2
0 0 0
1 0 1
2 2 0
0 2 0
0 1 1
10 5
1 5 0
4 0 1
1 0 4
5 4 3
5 3 4
0 5 3
2 1 5
2 1 1
5 4 5
0 2 1
10 7
2 0 0
1 1 1
2 2 2
2 1 2
1 2 1
1 0 2
1 1 2
2 1 1
2 0 2
0 2 2
10 4
1 0 0
0 0 1
0 0 0
1 0 1
2 1 2
2 1 1
0 1 0
0 1 1
2 2 1
1 1 1
10 4
2 2 3
0 3 3
2 3 0
2 1 2
4 3 2
1 3 2
2 3 1
2 4 2
3 0 4
0 3 4
10 8
1 2 0
1 3 3
1 2 2
0 1 2
1 0 3
0 2 2
0 3 3
2 2 1
3 2 1
2 2 3
10 7
0 1 1
0 0 0
1 3 2
2 2 2
3 3 3
1 1 1
3 0 1
2 1 2
2 1 0
0 3 2
10 5
1 0 1
0 0 1
2 2 0
2 0 0
1 2 1
0 0 2
1 2 0
2 1 0
0 1 0
1 0 0
10 8
3 3 2
1 3 1
4 2 1
5 0 4
4 2 2
3 3 3
3 5 0
2 2 0
5 4 1
4 1 5
10 9
3 4 2
1 4 2
3 1 4
3 1 0
1 2 3
3 3 4
1 3 3
0 2 0
3 4 1
2 4 3
10 6
5 4 2
4 2 5
1 5 0
2 2 5
4 2 4
3 0 5
0 3 3
3 1 3
4 3 3
5 1 3
10 2
4 1 0
2 2 2
1 0 3
1 4 1
4 3 1
3 0 3
3 0 4
1 4 3
0 0 4
2 0 4
10 4
0 2 1
3 1 2
3 2 2
2 3 2
0 0 0
3 3 1
3 2 1
3 0 1
3 2 3
1 3 3
10 7
3 5 4
2 2 5
5 0 3
5 3 1
4 2 3
4 1 5
3 5 5
0 4 0
2 3 3
5 2 3
10 8
0 2 2
1 0 2
2 1 1
0 1 0
1 2 2
0 2 0
0 0 2
0 0 1
1 1 1
1 2 1
10 4
1 2 2
0 3 1
3 3 0
1 3 3
0 0 0
1 1 1
1 0 3
3 0 1
2 0 2
2 2 1
10 5
1 0 3
2 2 1
0 2 0
1 3 0
0 0 2
1 2 1
3 0 1
1 0 1
3 1 2
3 3 3
10 4
0 4 4
2 1 2
3 3 1
3 4 0
4 3 1
2 2 4
3 4 3
4 3 2
1 4 0
3 1 1
10 9
3 3 1
2 2 1
0 4 1
4 3 4
4 1 4
0 2 4
0 2 1
1 4 1
2 3 0
0 2 0
10 2
1 0 1
0 2 1
1 1 2
2 0 0
2 0 1
1 1 0
2 0 2
2 1 1
1 0 2
0 2 0
10 9
3 3 2
3 0 0
3 2 0
2 3 1
1 2 1
1 0 1
0 1 1
2 2 1
3 0 1
0 3 1
10 3
0 0 3
0 1 3
2 2 3
1 0 2
2 1 2
1 2 3
1 3 2
0 1 0
0 2 0
1 3 1
10 3
0 0 1
1 0 1
0 2 2
0 0 0
2 1 1
1 1 2
2 1 0
2 0 1
1 2 2
2 0 0
10 6
2 4 2
3 1 2
4 2 1
4 0 1
5 3 0
0 3 5
3 0 3
0 0 3
5 2 4
5 1 4
10 8
1 2 0
2 1 0
2 0 1
2 2 2
0 0 1
2 1 2
2 0 2
2 2 0
2 2 1
1 1 0
10 7
1 2 3
3 3 2
3 3 3
3 2 1
2 3 1
4 2 4
2 0 2
1 4 3
0 1 3
2 1 3
10 9
2 3 1
3 2 3
2 2 0
1 3 3
0 0 3
2 0 0
2 2 1
2 1 3
1 3 2
0 0 2
10 4
1 0 3
3 3 0
0 0 0
3 3 2
1 2 0
3 1 0
3 2 2
1 3 1
2 0 1
0 1 0
10 7
2 0 3
0 2 2
2 3 1
2 2 0
2 3 0
3 2 2
1 1 0
3 1 2
1 0 1
3 2 1
10 7
0 0 0
2 1 0
0 1 0
0 0 2
0 0 1
1 1 2
2 1 2
2 0 0
2 2 1
1 0 1
10 5
5 5 4
0 4 1
4 3 2
4 0 1
4 2 5
5 5 0
0 1 1
2 4 0
4 4 0
0 4 5
10 6
3 2 2
1 3 0
3 3 0
0 0 0
2 3 0
2 3 3
3 2 0
3 0 1
2 0 1
1 2 1
10 2
0 1 0
2 1 0
2 4 1
4 0 0
2 4 2
2 1 2
3 0 3
3 1 4
0 0 3
4 4 3
10 5
3 1 2
3 0 3
0 0 1
1 0 0
0 3 1
3 3 3
0 0 0
1 0 3
2 2 1
0 0 2
10 7
0 1 3
3 2 3
3 2 1
3 0 2
2 1 3
0 2 0
3 3 2
1 0 1
1 1 2
3 0 1
10 8
1 1 3
1 3 1
3 2 3
1 2 3
1 3 0
3 3 2
1 2 0
3 0 2
1 2 1
1 0 3
10 6
0 2 0
3 1 1
0 0 1
0 3 2
4 0 3
1 2 1
2 1 3
4 0 2
2 3 1
3 3 2
10 9
3 2 4
0 0 3
3 2 1
0 1 2
4 2 5
1 0 5
1 5 1
3 0 2
4 0 0
4 3 0
10 2
3 3 2
3 2 1
2 1 2
1 0 3
0 4 1
0 4 2
1 3 0
3 1 4
1 3 4
0 2 1
10 5
1 5 3
5 3 0
4 2 1
2 4 2
1 2 3
5 2 2
2 4 5
5 5 5
5 0 0
4 2 3
10 4
0 5 0
5 2 0
1 0 5
2 2 3
4 1 1
1 2 2
5 0 5
2 0 1
2 3 1
4 0 0
10 3
4 4 0
0 5 3
2 4 1
5 4 1
2 1 4
4 3 1
1 3 4
0 3 5
0 4 0
3 2 3
10 6
1 3 0
0 1 1
2 4 1
2 4 4
0 1 4
3 0 3
3 3 0
3 3 4
3 0 1
2 0 4
10 5
1 3 2
4 1 4
2 1 2
3 1 3
3 3 4
2 2 1
1 4 3
1 4 1
3 3 1
0 2 4
10 5
0 1 1
3 0 0
1 3 0
2 1 3
0 0 0
3 1 3
2 1 2
0 0 3
0 3 1
2 0 0
10 2
1 1 3
3 0 1
3 1 0
4 3 2
2 1 0
0 1 4
3 2 1
2 2 4
0 4 4
1 1 0
10 2
5 0 4
1 3 3
1 0 3
2 2 5
5 1 5
0 2 2
1 5 0
1 5 2
0 1 0
4 3 2
10 6
3 1 2
3 0 2
2 3 1
1 3 1
0 3 0
1 3 0
1 1 3
1 2 2
1 1 1
0 3 2
10 4
2 0 4
4 2 5
0 3 2
5 2 5
0 5 1
4 4 2
0 5 2
4 4 1
0 1 1
1 5 5
10 9
1 1 0
1 5 5
2 5 3
3 4 5
3 4 4
0 2 3
1 4 1
1 3 2
4 5 2
2 0 0
10 4
3 0 4
3 5 2
4 0 4
1 3 4
1 5 3
2 2 2
2 2 3
4 5 3
4 2 1
1 0 1
10 9
2 1 3
0 3 0
0 3 1
0 2 1
2 0 1
1 0 0
1 3 1
2 2 3
3 0 0
2 3 3
10 4
2 1 0
0 1 2
2 2 0
0 2 1
0 0 2
0 2 2
1 1 2
1 2 0
0 1 0
2 2 1
10 3
2 3 4
5 2 4
5 5 1
2 0 5
4 4 3
4 1 5
4 0 1
1 0 0
0 4 3
3 1 5
10 8
1 1 3
1 0 3
3 0 2
0 0 0
4 3 2
3 4 3
4 2 0
3 0 3
3 2 1
2 4 1
10 3
1 0 3
3 4 3
4 0 0
4 2 4
1 0 2
3 2 3
4 1 3
2 2 4
2 4 4
0 3 4
10 2
2 1 1
2 2 1
2 1 2
1 1 2
2 1 0
0 0 1
2 2 2
0 0 0
0 1 1
0 1 0
10 7
3 2 0
4 0 5
2 0 3
2 3 5
0 3 4
2 4 1
3 4 2
1 2 5
5 2 3
4 1 4
10 6
2 2 2
0 5 3
4 3 0
1 1 5
4 1 4
5 2 5
4 1 2
1 5 2
4 4 3
0 4 4
10 6
2 5 1
5 5 2
4 0 2
4 5 2
5 2 2
3 0 1
0 3 0
5 0 5
4 4 1
4 0 5
10 3
0 2 1
3 2 1
3 4 3
3 5 5
0 0 5
5 3 3
2 0 3
2 5 1
4 5 1
5 4 2
10 6
0 2 2
1 2 1
3 1 3
1 3 1
3 2 3
3 2 2
0 1 0
3 2 1
3 0 1
0 0 3
10 6
1 4 4
1 2 4
2 2 1
0 4 3
2 3 1
3 0 0
0 2 3
1 0 4
1 0 0
0 1 4
10 8
2 2 1
1 0 1
0 2 0
2 1 2
1 2 2
1 0 2
0 0 0
1 1 0
0 0 2
2 0 1
10 4
3 0 3
1 0 2
3 2 1
0 2 1
1 1 2
3 2 3
0 1 1
3 0 1
2 3 1
3 1 0
10 4
1 0 1
0 2 2
1 2 2
0 1 2
2 2 0
2 0 0
1 1 1
0 2 1
2 0 1
1 1 2
10 6
3 4 4
0 3 4
2 2 2
0 0 0
4 1 4
3 3 2
2 3 1
4 3 0
3 4 1
2 0 1
10 9
0 2 4
5 0 2
4 3 3
4 0 0
4 2 2
1 5 2
5 3 4
0 1 5
1 2 3
2 3 1
10 2
5 2 1
5 4 2
4 5 3
5 3 3
4 3 0
2 5 0
3 5 3
1 1 4
4 3 2
2 5 5
10 9
0 0 3
2 2 1
2 2 2
3 2 0
0 0 1
1 2 1
3 3 1
2 3 0
3 1 0
2 2 0
10 9
0 2 2
0 4 4
3 3 2
4 2 1
3 1 0
1 0 0
1 4 1
1 0 2
4 1 4
0 1 3
10 7
4 1 1
0 3 0
5 2 5
1 5 3
1 4 5
0 3 1
4 2 5
5 1 2
3 1 0
0 3 3
10 2
2 0 0
2 2 1
1 0 1
0 1 1
2 2 2
0 0 2
0 0 1
1 0 2
2 1 2
1 0 0
10 7
0 4 0
5 0 1
3 5 2
2 1 2
5 3 0
5 5 2
2 1 4
1 0 3
3 2 5
3 2 1
10 7
1 5 5
1 0 2
1 2 5
0 4 2
2 1 4
5 0 0
5 3 3
3 1 0
4 3 4
5 5 0
10 8
1 2 0
1 2 2
1 1 1
0 2 2
2 1 0
0 0 2
1 0 0
0 1 1
1 1 0
2 2 1
10 7
5 5 5
4 5 4
2 3 5
2 1 3
0 0 2
1 2 5
3 1 4
4 3 4
3 1 3
1 2 3
10 8
1 3 2
3 3 0
3 1 3
0 3 0
2 1 2
1 2 0
3 1 1
1 1 2
3 3 3
0 3 1
10 3
1 3 1
3 4 3
2 1 0
3 2 3
3 2 4
3 1 1
2 1 4
0 3 3
4 0 0
2 3 0
10 9
0 0 0
1 1 2
1 1 1
1 2 2
0 0 2
1 0 2
0 1 0
1 0 1
1 0 0
1 1 0
10 6
2 3 0
2 0 1
3 3 3
0 3 2
0 0 2
0 2 0
1 3 2
3 0 1
3 3 2
0 2 1
10 4
1 1 1
1 0 0
0 2 2
2 0 2
1 1 0
0 0 1
0 2 1
2 2 2
2 2 1
2 0 0
10 8
1 0 2
0 1 4
4 3 3
1 4 3
5 1 1
2 2 3
4 5 2
2 3 2
5 4 2
4 3 0
10 5
2 3 3
3 3 2
2 4 2
4 0 0
3 2 4
1 1 2
4 3 4
4 2 3
0 0 0
0 2 0
10 5
1 2 0
1 3 2
4 1 2
0 0 3
2 0 1
3 1 3
2 4 3
3 2 2
4 4 2
1 3 4
10 9
3 2 3
2 1 3
0 0 2
1 3 3
3 2 2
3 1 1
0 2 1
3 2 1
3 3 1
1 0 1
10 6
0 2 3
0 0 2
4 2 2
3 0 1
2 4 3
0 1 2
0 4 4
2 2 0
1 1 4
3 4 2
10 6
2 2 0
0 2 0
1 1 2
0 1 2
0 1 1
2 2 2
1 0 2
0 2 2
1 0 0
1 2 2
10 8
2 2 0
0 2 0
1 1 0
1 2 2
0 2 2
2 0 1
1 0 0
1 0 1
0 0 2
2 1 0
10 3
1 2 1
0 2 0
2 0 2
2 0 1
1 2 2
1 0 2
1 1 1
0 1 2
2 0 0
0 0 0
10 2
0 1 0
1 0 1
0 0 0
1 2 1
2 1 1
0 1 1
1 2 0
1 2 2
2 0 1
0 0 2
10 9
1 1 2
2 2 0
2 1 1
0 2 2
2 0 2
2 0 0
0 1 0
1 2 0
2 1 2
1 1 1
10 3
5 1 3
0 4 2
2 3 4
0 4 0
5 2 2
2 0 0
5 4 5
0 5 4
2 1 4
0 1 2
10 6
0 2 2
0 0 0
1 1 1
2 1 0
1 2 1
1 2 2
1 0 1
0 0 2
2 2 2
1 1 2
10 8
4 2 1
2 4 5
3 1 0
1 3 4
3 5 2
1 0 2
2 5 2
3 1 5
3 4 2
5 2 1
10 9
0 3 3
0 0 1
4 1 1
1 1 2
0 0 4
1 3 3
3 2 2
0 1 2
1 0 3
2 1 1
10 3
0 2 2
2 2 2
0 2 0
2 2 1
1 2 2
1 0 0
2 1 0
2 1 1
2 1 2
0 0 1
10 3
3 3 3
2 5 2
0 3 1
2 5 5
3 1 3
1 4 4
4 5 5
4 1 2
0 5 4
3 4 1
10 2
0 2 1
3 1 3
2 0 3
0 3 3
2 2 2
1 2 3
0 3 2
2 3 2
3 0 2
2 1 2
10 6
0 0 3
1 0 2
0 1 3
0 3 1
0 3 2
2 3 3
0 1 0
1 2 2
3 2 1
2 2 0
10 3
2 1 4
3 1 1
3 2 0
0 1 4
2 0 0
4 0 0
3 3 2
3 1 3
4 4 1
2 3 2
10 4
1 0 0
1 1 0
0 2 2
0 2 0
2 0 0
2 0 2
1 2 0
0 1 2
1 2 1
1 0 2
10 3
4 3 1
0 2 4
0 2 1
2 1 2
1 1 3
1 0 3
1 0 2
1 0 1
2 0 3
3 1 4
10 6
2 3 1
0 1 0
3 3 3
3 2 1
2 1 3
3 1 3
2 0 2
1 2 3
1 0 1
0 3 0
10 8
4 1 4
0 3 2
0 4 3
4 3 2
0 0 4
0 3 1
1 0 0
0 0 3
3 4 0
0 3 3
10 9
1 0 0
3 2 0
3 1 3
1 0 2
1 1 1
1 0 1
2 0 2
2 1 1
1 0 3
3 1 2
10 7
2 0 3
0 2 4
4 1 4
2 0 1
4 0 0
1 2 0
0 3 4
0 3 1
2 4 1
4 4 3
10 9
0 3 3
4 2 0
3 4 0
3 2 5
0 0 4
1 1 5
4 4 0
3 4 3
2 2 4
4 0 0
10 3
2 4 2
4 0 1
4 2 1
2 1 2
1 3 2
1 1 0
2 4 0
3 0 1
1 3 3
1 0 2
10 9
0 1 1
3 3 1
1 3 3
2 0 3
3 2 2
1 3 0
1 0 1
0 0 1
2 1 1
2 0 1
10 6
5 4 2
3 4 4
4 4 5
2 4 1
1 3 3
4 4 0
5 5 4
0 3 3
0 5 5
4 3 5
10 7
2 1 2
2 4 0
4 4 3
0 3 3
3 3 0
2 2 1
2 1 0
1 0 3
0 4 4
3 3 4
10 6
0 2 0
1 2 1
2 0 2
1 1 2
0 0 2
0 1 1
1 0 1
2 1 1
0 2 1
2 0 0
10 9
3 3 2
0 2 1
0 0 0
0 3 2
1 1 0
0 0 3
2 3 2
3 3 0
0 3 0
1 2 0
10 4
0 2 2
0 4 5
5 1 3
0 3 3
5 3 1
1 1 5
5 2 4
1 1 0
4 1 2
5 1 0
10 4
2 5 0
3 1 0
1 5 2
3 3 5
2 3 4
4 0 4
0 2 3
1 2 2
1 0 0
5 1 4
10 3
2 0 0
2 2 2
0 2 1
2 0 2
2 2 1
0 2 0
2 1 2
1 2 2
0 2 2
1 0 0
10 5
2 0 3
2 2 0
0 3 2
2 1 2
3 1 1
3 3 3
0 3 3
1 0 0
1 0 2
1 1 0
10 7
5 0 3
4 0 1
4 3 2
1 3 5
0 4 0
3 3 0
2 5 5
1 1 4
2 5 2
0 2 3
10 6
0 1 2
2 1 0
2 1 2
2 1 1
2 2 0
0 2 0
1 0 1
0 2 2
1 2 2
0 1 0
10 8
0 1 0
4 1 4
1 4 2
3 2 4
2 2 3
1 0 3
2 2 1
4 2 0
2 4 1
1 4 3
10 6
3 5 3
4 2 0
0 0 0
5 4 5
1 5 3
1 3 1
1 2 3
1 3 4
1 5 1
5 1 4
10 4
2 0 1
0 0 2
1 0 0
2 2 1
0 1 1
1 1 0
1 2 1
0 0 0
0 2 2
2 2 0
10 7
0 1 2
1 1 0
1 1 2
2 0 1
2 0 0
2 0 2
0 0 2
2 1 2
1 2 1
0 1 0
10 2
5 5 0
5 3 4
4 3 5
1 2 5
1 5 0
2 1 3
2 0 1
1 0 1
5 4 0
3 2 4
10 8
2 2 4
4 2 2
0 2 1
3 0 0
0 1 0
2 0 0
3 1 3
0 4 1
4 0 3
2 2 2
10 7
1 3 2
0 3 0
3 4 5
4 1 2
4 3 5
5 3 0
0 2 1
4 4 1
0 1 1
5 3 2
10 5
1 4 2
0 1 2
3 4 0
1 1 1
5 2 4
2 0 5
1 5 3
2 0 1
3 1 4
1 0 3
10 7
5 1 3
0 1 2
4 3 5
0 3 3
2 0 4
2 2 2
2 4 4
3 1 4
5 0 1
2 3 1
10 3
0 1 0
1 0 1
2 1 1
2 1 2
0 1 2
0 0 2
1 1 2
1 1 1
2 2 0
2 0 2
10 5
0 1 1
1 0 2
1 2 0
0 0 2
3 3 3
0 2 3
3 1 3
1 1 2
3 3 0
1 3 3
10 2
2 1 2
2 0 2
1 2 0
0 1 1
1 0 0
2 1 0
1 0 1
2 2 1
0 2 1
1 1 2
10 9
0 4 3
5 5 5
0 2 2
0 3 0
2 4 3
4 2 1
0 0 4
1 3 5
3 1 0
4 1 0
10 9
3 2 1
2 0 1
2 1 2
0 2 0
3 1 2
0 0 2
1 1 1
3 0 0
2 3 2
3 3 3
10 8
2 3 0
0 1 1
0 2 1
1 3 2
3 3 3
0 2 0
2 0 1
1 3 1
0 1 3
0 0 2
10 7
2 2 3
0 1 0
3 1 0
1 3 1
1 3 2
3 1 3
2 0 0
1 2 3
2 3 0
2 3 1
10 7
1 1 1
0 4 1
3 3 4
1 1 3
0 2 2
4 2 2
2 3 3
3 1 3
2 1 4
2 1 2
10 3
1 2 0
0 4 2
3 3 1
0 3 1
2 0 4
1 2 4
4 0 1
1 2 2
2 1 1
3 2 0
10 2
1 0 4
0 5 4
1 5 0
1 5 2
0 4 2
2 5 1
0 1 5
2 0 2
1 4 5
3 5 3
10 4
3 2 0
0 2 2
3 4 1
2 4 1
3 2 2
4 3 1
2 3 2
0 4 4
2 0 3
1 4 4
10 8
0 2 4
0 3 3
1 2 1
4 1 1
3 2 0
1 1 3
1 3 3
4 3 1
3 0 3
0 0 4
10 4
1 1 1
2 0 0
1 3 3
3 2 1
1 0 2
1 2 2
3 0 3
0 2 3
2 2 2
1 2 3
10 6
1 0 2
1 0 0
0 1 0
1 2 0
0 2 0
1 1 2
2 1 1
2 0 0
0 2 1
2 2 0
10 3
3 5 2
0 3 1
3 1 2
5 2 1
2 2 1
5 2 3
4 0 2
4 3 0
3 2 2
1 0 0
10 8
1 1 3
3 3 2
3 2 2
3 3 0
3 1 2
2 3 2
1 0 0
3 3 1
1 3 2
3 3 3
10 8
3 4 1
3 3 4
2 2 4
4 1 1
4 2 0
4 0 4
3 1 3
0 4 4
2 3 0
2 1 3
10 2
0 2 1
1 1 5
3 5 3
0 4 4
1 1 2
3 1 4
4 1 1
0 4 2
5 4 4
5 4 5
10 9
0 1 1
0 0 2
1 0 0
0 0 0
1 1 1
0 0 1
2 0 1
0 2 0
0 2 1
2 1 2
10 5
1 1 5
3 2 2
5 2 3
4 5 1
0 3 4
3 1 1
5 0 1
0 0 3
3 2 1
1 2 4
10 7
3 2 5
5 2 3
5 1 2
2 1 3
2 5 4
0 1 3
5 2 2
5 5 1
2 4 1
5 5 0
10 3
0 4 4
3 0 3
4 0 4
0 0 4
1 4 1
0 1 4
0 4 0
1 2 3
4 1 1
1 4 0
10 9
3 2 0
1 0 1
3 3 1
0 0 0
2 1 1
0 0 1
0 1 3
3 1 0
0 2 0
1 3 2
10 7
3 1 4
3 1 2
1 1 3
4 0 0
1 1 4
2 4 3
2 0 4
2 2 0
0 2 3
0 0 3
10 5
1 1 1
1 0 1
1 2 1
1 2 2
0 2 1
2 2 0
0 0 1
1 0 0
0 2 2
2 1 0
10 9
1 0 0
3 3 3
0 3 1
1 3 0
2 1 2
3 2 3
3 1 3
2 1 3
1 3 2
0 2 0
10 2
0 1 0
2 2 2
1 2 0
2 0 2
1 0 1
1 2 1
1 1 2
0 0 1
0 1 1
1 2 2
10 7
0 0 3
3 5 5
1 4 1
5 1 3
0 4 4
1 4 5
2 5 0
1 4 2
0 2 1
4 4 3
10 6
1 0 4
0 0 0
2 4 1
4 3 3
1 1 1
0 3 0
4 0 2
1 3 0
0 4 3
1 0 2
10 2
4 3 3
2 0 1
1 1 4
4 0 3
4 2 4
0 0 3
1 2 0
3 2 3
0 2 2
2 0 4
10 2
0 4 4
0 2 3
3 1 3
5 4 0
0 4 1
1 0 5
5 2 3
4 0 3
4 0 5
4 0 1
10 8
3 0 0
0 3 2
0 3 4
1 4 0
0 1 0
4 2 4
4 3 2
3 0 1
4 1 3
1 1 2
10 9
1 1 2
2 1 1
1 2 2
1 1 0
1 1 1
0 0 1
0 2 0
1 0 1
2 0 0
2 2 1
10 6
1 4 2
2 2 2
4 4 0
5 4 4
1 4 1
0 0 1
0 4 4
5 0 3
1 1 0
2 0 5
10 7
4 2 2
2 4 0
2 4 3
2 4 2
1 1 0
2 2 3
3 4 4
4 0 1
3 0 3
1 3 4
10 5
4 5 0
5 3 5
3 5 5
5 3 1
4 5 4
3 3 5
0 5 2
4 2 4
3 3 0
1 4 0
10 9
0 2 4
4 3 2
3 3 0
3 4 2
3 2 2
4 0 0
3 1 2
4 3 0
4 1 2
0 1 4
10 7
4 3 4
1 4 1
1 0 5
4 1 4
0 0 4
4 2 4
2 0 2
1 4 3
2 0 1
4 1 1
10 6
3 3 2
3 0 0
3 1 2
2 1 2
1 2 0
2 1 0
0 0 0
1 1 2
2 1 3
1 2 3
10 3
2 1 1
2 3 5
0 2 5
1 0 1
2 1 0
2 2 2
0 4 4
2 0 4
1 5 1
5 0 5
10 3
2 3 1
3 0 4
2 4 2
1 3 1
1 3 0
1 0 3
2 0 2
2 1 1
1 4 4
0 0 0
10 3
5 4 1
4 5 0
3 1 4
3 2 1
5 2 5
2 5 5
5 0 5
0 2 0
4 4 1
4 3 3
10 6
1 0 3
3 1 3
2 2 3
2 1 2
2 2 0
1 1 3
2 4 0
2 1 3
3 3 3
0 0 4
10 2
1 1 3
3 3 0
0 3 2
1 1 0
3 0 1
2 0 0
2 1 2
3 0 0
3 3 3
0 1 2
10 8
3 2 1
3 0 2
1 1 1
2 0 2
1 3 3
3 0 0
3 3 0
0 1 3
0 1 2
0 0 2
10 7
5 4 4
2 0 3
1 3 3
2 4 1
1 0 5
2 1 5
1 3 1
0 4 1
4 2 4
1 1 3
10 9
1 3 4
3 1 1
1 3 2
4 3 2
3 3 2
1 2 3
3 3 4
4 3 1
2 4 0
4 1 0
10 4
0 0 2
2 1 2
0 0 1
0 1 2
2 1 0
0 1 1
0 1 0
1 2 1
2 2 0
1 1 0
10 2
4 3 3
1 0 2
4 3 2
0 3 3
0 3 2
3 0 2
1 4 0
1 3 1
4 1 2
4 0 3
10 8
0 3 0
0 1 3
1 1 2
0 0 0
3 1 2
3 0 3
0 2 2
2 2 3
1 2 1
0 3 3
10 9
0 0 0
1 1 0
0 3 1
1 2 1
2 0 1
0 3 0
1 0 2
3 1 1
1 3 2
0 2 0
10 6
1 3 1
0 3 0
3 1 1
1 0 3
3 1 3
1 2 3
0 3 1
0 3 3
2 2 0
3 2 2
10 8
0 0 1
1 2 2
0 3 2
3 0 4
0 3 4
2 4 1
0 3 1
3 2 4
2 1 2
2 3 1
10 2
3 4 3
0 2 3
2 0 0
4 3 3
0 1 1
2 1 1
4 2 4
0 0 0
4 3 0
4 1 0
10 9
2 3 1
2 1 3
2 2 0
2 0 3
0 3 2
2 2 1
2 3 2
1 0 0
1 1 0
0 1 3
10 6
2 2 4
2 4 0
0 2 4
2 4 1
4 2 3
4 4 0
1 1 0
1 2 0
3 3 1
3 1 2
10 7
1 5 5
2 4 0
0 1 5
2 2 1
0 3 1
3 2 5
1 2 4
2 5 2
1 4 5
3 5 2
10 9
0 2 2
2 1 2
2 1 4
4 3 2
3 0 1
1 2 3
0 0 1
0 1 2
1 3 3
3 2 1
10 4
2 2 4
0 2 2
0 4 0
2 0 4
2 3 4
2 4 3
3 3 1
1 4 2
4 4 0
4 1 3
10 7
0 1 1
2 2 2
0 1 2
2 0 1
0 0 0
0 2 1
2 0 2
2 1 2
2 1 0
2 2 1
10 7
1 0 2
0 2 2
2 0 0
1 2 0
1 1 1
1 0 0
2 2 2
1 2 2
2 1 0
2 0 2
10 7
2 3 0
1 3 2
1 0 5
5 4 2
0 2 3
3 3 2
3 3 1
2 5 4
1 3 1
2 0 0
10 2
1 2 3
3 2 3
0 2 3
3 0 1
3 3 2
1 0 2
3 1 2
2 3 0
1 2 2
2 0 3
10 7
4 2 2
3 2 5
3 4 1
3 3 3
1 0 3
1 1 5
3 2 0
5 2 2
4 2 0
5 3 2
10 7
2 1 1
1 2 0
2 2 1
0 1 2
1 2 2
2 2 0
1 0 0
1 1 1
1 0 2
2 0 0
10 5
0 0 0
0 1 2
1 1 0
1 2 1
2 2 1
1 1 1
0 1 1
1 0 2
0 2 0
2 1 0
10 8
0 0 3
4 2 2
4 3 3
0 4 2
1 3 3
0 4 1
3 4 4
1 1 0
2 2 2
4 1 3
10 5
1 1 3
2 0 2
1 3 0
2 2 1
0 1 1
3 1 1
3 3 1
1 1 2
2 0 3
1 3 3
10 9
2 0 1
5 3 3
3 2 1
3 1 4
5 0 5
4 1 0
0 0 5
2 0 5
1 5 4
2 5 4
10 9
3 0 2
1 1 0
2 2 1
2 1 3
3 2 2
3 1 2
2 0 1
0 1 3
3 1 1
2 2 0
10 5
1 0 0
2 1 2
2 0 0
1 2 1
1 2 0
0 2 0
1 1 2
1 1 0
0 2 2
2 1 1
10 5
1 0 3
0 0 0
1 0 1
1 3 2
2 0 4
3 2 3
0 2 3
2 4 0
0 1 1
4 3 1
10 3
0 0 1
2 0 2
1 0 2
1 1 0
0 2 2
1 1 2
0 0 2
2 2 2
2 2 0
1 2 1
10 6
5 4 4
3 4 0
3 1 4
5 2 1
3 2 0
2 3 5
4 5 2
2 0 2
0 4 3
1 2 4
10 3
5 4 4
2 2 3
0 0 3
4 2 3
3 1 5
4 1 4
3 2 1
0 2 5
5 0 2
1 1 3
10 3
1 3 0
5 1 2
0 2 3
4 4 0
0 3 0
1 1 4
5 0 0
1 0 4
2 3 3
0 3 4
10 3
2 1 3
2 2 4
4 4 5
5 1 1
3 0 3
2 1 1
4 5 2
2 4 4
4 1 2
2 3 4
10 5
2 1 0
2 0 1
0 0 0
0 1 0
1 0 2
0 1 1
2 0 0
1 0 1
0 0 2
2 0 2
10 9
0 1 1
0 0 4
3 3 5
3 2 0
5 0 5
1 4 3
3 3 0
1 5 0
2 5 2
4 1 4
10 3
3 3 2
0 2 0
2 1 3
3 2 1
2 2 1
0 3 3
3 2 2
1 2 3
3 0 2
3 0 0
10 2
1 0 1
1 0 0
2 0 1
0 0 0
1 3 0
3 1 3
2 2 3
3 1 1
0 2 2
0 0 3
10 5
1 0 0
0 2 0
2 2 1
1 0 1
1 1 1
1 1 0
1 0 2
2 1 0
1 2 0
0 2 1
10 9
1 4 0
0 2 1
0 5 0
0 2 0
4 3 2
2 3 1
5 4 5
2 4 1
2 1 1
3 4 5
10 2
0 0 3
2 0 3
0 1 3
1 1 0
3 1 0
2 3 1
3 0 0
0 2 1
0 2 3
1 1 3
10 6
1 1 3
2 1 1
0 3 0
3 0 1
3 3 2
3 3 1
0 1 3
2 2 3
2 1 0
1 1 1
10 5
1 3 2
4 5 4
2 2 2
2 2 3
0 3 3
0 5 4
1 2 3
5 0 2
1 3 5
4 1 5
10 8
4 3 1
0 2 4
0 3 3
2 3 2
2 0 4
3 0 1
4 4 2
4 1 1
3 2 4
0 1 4
10 5
2 0 0
2 0 2
0 0 1
1 1 3
2 3 0
1 0 3
1 3 3
1 1 2
3 3 1
3 1 0
10 2
0 1 2
1 2 1
1 0 1
1 2 2
2 1 0
0 0 2
2 2 1
0 2 2
2 2 0
0 1 1
10 5
2 3 1
3 1 1
2 2 2
2 2 1
3 3 1
0 0 3
2 0 1
1 2 1
1 3 0
0 2 0
10 8
0 4 1
1 4 2
2 4 0
3 3 1
4 1 0
2 2 3
0 4 4
1 1 3
1 2 4
0 0 2
10 2
1 0 3
0 2 3
3 0 1
3 3 0
0 1 1
3 4 1
2 3 1
4 1 3
0 3 1
1 1 3
10 6
1 1 2
1 2 2
2 0 1
1 0 0
2 0 2
2 1 2
0 2 2
2 1 0
0 0 2
2 2 2
10 4
1 2 2
3 1 2
3 3 2
4 0 4
0 1 4
3 0 1
3 0 4
1 1 2
2 4 1
4 4 3
10 4
2 0 3
2 1 2
0 3 2
0 1 1
1 1 0
1 0 1
2 3 3
1 2 0
1 3 1
0 2 3
10 8
1 2 2
3 3 3
2 0 2
1 2 1
3 2 0
1 1 2
2 0 3
1 0 0
2 2 1
1 3 1
10 9
3 0 0
1 2 0
2 2 0
2 2 1
0 3 1
1 1 3
1 3 2
3 2 2
1 2 1
1 0 1
10 2
2 3 4
1 0 4
4 4 3
1 1 2
1 2 4
0 1 0
4 2 0
1 2 0
0 3 0
4 3 1
10 3
2 0 2
2 2 0
0 0 0
0 2 1
2 2 2
0 0 1
2 0 1
1 1 0
2 1 2
0 0 2
10 3
2 1 5
0 2 0
1 1 5
5 5 5
2 0 0
2 0 3
1 4 0
1 5 4
2 5 4
0 3 4
10 9
1 1 3
3 0 3
1 0 2
1 2 0
2 2 1
2 3 3
0 3 3
2 3 1
3 3 1
2 1 1
10 6
0 4 3
3 2 2
3 4 4
4 3 0
0 3 1
4 4 4
0 1 4
0 1 3
3 0 2
3 3 2
10 8
4 4 4
5 5 2
1 3 3
4 3 3
2 5 0
4 5 3
2 4 3
2 4 0
1 1 1
3 0 2
10 5
4 1 5
3 1 2
5 5 2
5 0 4
2 2 4
3 4 4
4 5 5
4 3 0
1 3 0
2 4 1
10 3
0 1 2
1 1 2
2 2 0
0 0 2
2 2 2
0 2 0
1 0 2
0 1 1
1 2 1
2 0 1
10 7
2 3 2
3 1 2
3 1 4
5 0 4
0 4 5
5 5 3
0 1 2
0 0 0
2 2 2
0 1 4
10 3
3 3 1
2 1 2
3 0 0
0 0 3
0 3 3
2 1 3
1 1 0
1 2 0
0 1 0
2 2 0
10 3
2 2 1
2 1 1
0 0 0
1 2 0
2 1 0
1 2 2
2 1 2
0 1 2
1 2 1
2 0 0
10 4
1 1 1
1 0 2
3 1 0
3 1 3
4 4 1
3 4 0
3 0 4
0 1 1
3 2 0
1 2 3
10 8
1 0 2
2 4 3
4 4 5
4 5 1
3 1 4
3 5 3
5 1 5
3 4 4
2 3 1
1 3 3
10 6
2 0 1
1 2 1
2 2 1
0 0 1
1 1 2
1 1 1
0 2 1
1 2 2
2 1 1
0 0 2
10 6
2 1 1
0 1 1
1 0 0
1 2 1
1 1 0
1 1 1
0 2 2
2 1 2
1 1 2
2 1 0
10 2
2 2 0
1 1 3
1 3 3
2 1 2
0 3 2
1 1 2
2 0 3
3 1 3
0 2 1
3 2 0
10 8
3 1 1
4 3 0
2 3 3
4 2 0
0 3 4
1 4 0
4 0 1
2 0 4
3 2 4
0 3 3
10 8
1 3 1
1 5 4
4 2 0
5 3 0
3 2 1
3 1 1
3 5 3
4 0 3
0 0 4
0 2 5
10 8
0 2 1
4 0 2
2 3 4
0 4 0
4 1 2
0 0 3
2 4 4
2 1 2
3 2 4
2 4 3
10 7
0 1 3
4 0 4
4 1 2
1 3 3
0 3 3
2 2 1
3 0 3
1 1 2
1 1 5
4 3 3
10 7
0 1 0
5 3 2
5 5 5
3 0 4
3 2 1
0 5 5
1 5 1
4 1 0
2 0 0
1 4 1
10 6
1 0 0
2 0 2
0 0 0
0 0 3
0 0 2
3 0 0
2 1 3
3 3 0
1 3 2
0 1 0
10 3
3 2 3
1 1 0
2 3 1
3 0 1
2 0 2
0 1 3
2 1 3
1 2 2
1 0 0
3 3 2
10 4
2 2 0
0 1 1
0 2 0
1 1 1
0 1 2
1 2 1
1 2 0
2 1 1
2 1 0
0 0 2
10 4
0 0 0
1 0 1
2 0 0
0 2 0
0 1 2
0 0 2
0 1 0
2 2 1
1 1 0
2 1 1
10 3
0 1 1
1 1 2
0 2 2
2 1 2
1 0 0
2 0 0
1 1 1
0 0 2
2 1 1
2 0 2
10 7
3 5 4
4 4 5
5 2 3
4 0 2
5 2 0
4 3 0
5 2 5
2 4 3
5 1 2
0 1 3
10 9
2 0 1
2 0 0
1 2 2
3 1 3
1 3 4
4 3 3
2 2 2
0 3 3
0 4 1
0 4 3
10 5
2 1 1
0 0 0
1 0 1
2 2 0
1 2 2
1 0 2
2 1 2
0 0 1
0 1 0
0 1 2
10 3
0 0 1
3 1 0
1 0 3
0 0 0
3 2 1
2 2 0
3 1 3
3 2 3
0 2 1
3 0 3
10 3
0 0 2
2 0 0
1 2 1
0 2 1
1 0 2
1 1 2
0 1 2
0 1 1
2 0 2
0 2 0
10 4
3 4 3
3 2 3
5 5 0
0 3 5
2 4 4
1 4 0
1 0 1
1 2 1
2 5 4
1 4 2
10 7
2 3 0
1 2 2
1 3 1
0 1 1
0 1 0
2 1 0
0 2 1
2 3 1
2 2 0
2 1 2
10 6
2 1 3
0 0 0
2 2 1
1 0 3
2 1 2
0 1 3
1 2 3
2 2 3
0 0 3
1 0 0
10 6
0 3 0
3 2 1
2 2 2
0 1 1
3 3 0
2 2 0
0 2 0
3 3 3
0 1 0
2 3 3
10 2
5 0 5
5 4 0
0 4 5
4 5 0
5 3 5
2 3 1
1 2 4
1 2 2
3 3 2
1 3 2
10 6
4 0 0
4 0 4
1 1 3
4 1 1
2 2 3
3 0 0
1 2 1
2 0 4
2 1 1
3 0 4
10 8
0 0 4
1 3 3
0 1 4
3 2 3
4 4 2
3 2 0
2 2 4
2 1 0
1 3 0
1 2 4
10 6
0 2 1
3 1 0
1 2 0
3 2 3
0 2 3
1 2 2
3 1 3
0 0 0
1 2 1
3 0 2
10 8
4 0 3
4 3 2
1 0 0
1 2 4
2 1 0
4 1 0
3 1 2
4 0 2
3 3 1
2 3 0
10 4
3 3 1
0 0 1
0 0 2
2 0 2
0 0 0
0 2 1
3 1 2
2 0 3
0 1 0
0 2 0
10 4
3 4 1
2 3 1
3 0 1
1 0 3
3 2 3
0 2 4
3 2 5
0 5 2
3 5 5
4 1 5
10 8
2 5 2
3 1 5
1 2 2
4 2 0
0 2 0
3 4 3
0 4 1
3 1 3
1 1 5
2 4 1
10 2
1 1 2
0 1 3
3 3 1
2 0 0
3 1 1
0 3 1
2 3 3
3 0 0
2 3 0
0 1 0
10 5
1 1 2
2 1 2
0 2 0
1 2 0
0 1 2
2 1 0
0 2 1
2 2 2
1 2 2
1 0 1
10 8
3 2 4
4 4 2
3 0 4
0 1 1
1 3 3
3 4 0
4 0 2
1 1 4
3 3 4
4 2 1
10 4
2 0 1
0 1 2
2 1 0
1 2 0
0 0 0
1 2 2
1 0 2
2 1 2
0 0 1
1 1 1
10 7
2 2 0
1 2 2
2 0 0
0 1 1
0 0 2
1 2 0
1 0 2
2 2 2
0 2 0
2 1 0
10 6
3 0 3
3 2 3
1 1 1
0 1 3
2 3 3
3 3 2
1 1 0
3 2 2
0 3 2
2 0 0
10 9
2 3 0
2 4 1
4 4 3
4 0 0
1 0 2
0 3 5
5 2 1
1 2 4
4 0 4
2 3 2
10 2
0 2 3
2 0 3
1 4 1
4 5 4
2 2 5
5 1 5
1 2 2
5 5 2
2 4 0
2 4 5
10 8
0 5 4
1 0 0
1 0 1
3 5 2
3 4 3
0 3 4
4 0 2
3 2 0
3 5 4
3 5 3
10 8
0 5 5
1 1 5
5 2 2
1 5 1
5 0 1
3 1 4
1 3 0
5 5 2
3 3 5
4 4 0
10 6
2 3 1
0 1 0
3 3 0
1 0 0
2 2 1
0 1 2
0 3 3
2 1 2
3 1 3
1 2 0
10 3
2 2 0
2 2 2
1 0 1
1 1 2
0 0 2
0 2 2
0 2 0
1 0 0
2 1 2
2 2 1
10 2
3 3 3
3 1 3
0 1 2
0 2 0
1 2 3
1 2 0
2 2 1
3 1 1
1 1 3
3 0 1
10 9
1 1 1
1 0 2
0 2 0
2 1 2
2 0 1
0 1 0
1 0 1
0 2 2
2 2 0
1 2 0
10 8
2 2 3
2 0 2
0 1 0
3 1 0
0 2 2
3 1 3
3 3 2
1 0 2
1 3 3
1 1 1
10 4
2 2 1
1 0 0
1 2 2
2 2 2
1 2 1
0 2 0
0 1 1
2 2 0
2 0 0
2 0 2
10 4
4 0 2
1 4 2
0 1 3
3 4 4
4 1 4
1 2 1
3 0 0
3 2 1
1 0 3
3 3 2
10 8
4 4 0
1 0 2
3 4 2
0 2 4
4 1 2
1 2 3
3 3 3
2 0 1
0 4 2
0 3 0
10 6
3 3 0
3 0 0
5 2 2
4 5 3
5 1 1
2 4 2
4 1 4
0 1 2
3 1 4
2 4 1
10 7
3 0 3
2 2 2
2 1 1
3 2 3
0 3 0
2 2 1
2 0 0
3 0 1
3 3 2
2 3 2
10 5
2 4 3
1 0 1
3 4 2
0 0 1
1 2 1
4 1 4
4 0 1
1 0 3
2 4 2
2 3 0
10 5
0 3 0
3 3 0
0 0 0
3 0 3
1 0 3
2 3 2
0 3 2
3 1 3
0 1 2
1 2 1
10 2
1 4 0
1 1 5
3 5 2
4 3 5
1 2 4
0 3 0
0 2 1
2 1 0
5 5 4
5 3 0
10 3
2 3 0
4 2 3
3 0 0
4 3 2
0 4 2
1 3 3
1 1 2
1 4 3
4 0 1
4 4 0
10 8
1 0 2
2 0 2
1 0 1
1 1 2
0 1 0
2 1 0
0 2 2
2 1 1
1 2 2
0 1 2
10 7
0 2 0
2 2 3
0 3 2
3 3 1
1 3 3
1 0 0
0 0 1
1 3 1
2 3 1
1 2 3
10 5
5 5 1
3 3 5
2 4 3
0 2 3
1 0 1
0 5 4
4 2 1
2 4 5
3 2 2
0 5 5
10 2
0 2 2
1 0 0
1 2 2
2 2 1
1 0 1
2 1 0
2 0 2
2 1 1
1 2 1
0 0 1
10 3
3 0 0
3 3 2
2 3 0
3 2 2
2 2 1
2 3 2
3 3 0
2 1 1
0 0 3
0 0 2
10 9
0 4 1
2 4 4
1 1 4
4 2 3
2 0 4
2 1 3
1 4 1
2 1 1
3 3 2
0 4 0
10 6
0 0 3
0 3 3
0 0 1
2 4 4
0 3 1
2 0 0
1 2 2
4 0 4
4 4 2
1 1 3
10 8
4 5 1
1 1 5
5 2 0
4 4 0
5 3 5
0 1 0
2 5 5
0 5 4
3 2 3
0 4 3
10 7
3 2 4
3 1 3
3 0 5
4 0 2
3 5 3
0 1 1
2 4 5
3 1 5
0 3 3
5 4 4
10 6
3 3 2
0 3 1
2 4 4
1 4 1
3 1 1
2 4 2
3 1 4
4 2 4
3 4 0
1 1 1
10 3
1 0 1
0 0 2
2 2 2
1 2 2
1 2 1
2 1 2
0 2 1
1 2 0
0 2 0
0 0 0
10 6
2 0 5
2 5 0
1 3 2
3 0 3
3 0 5
0 4 1
0 0 4
4 2 1
0 3 5
3 0 0
10 8
1 4 0
4 4 4
1 3 4
0 3 3
1 3 0
1 2 4
0 1 2
2 3 0
4 0 4
2 3 3
10 2
1 2 2
2 0 2
0 2 0
0 1 0
0 1 1
1 1 0
2 2 2
0 0 2
1 2 1
2 1 2
10 5
2 2 2
1 2 0
1 2 2
0 1 0
2 1 0
1 1 2
1 2 1
0 1 1
1 0 2
0 0 0
10 5
1 2 5
4 5 4
0 0 2
5 0 0
1 2 0
4 2 2
3 2 0
5 0 1
3 5 4
2 2 1
10 3
4 4 2
0 2 3
0 1 0
4 1 0
0 4 2
3 0 1
0 4 3
0 1 4
1 3 1
1 0 0
10 3
1 3 3
1 4 3
0 1 0
3 1 0
0 2 4
1 2 3
2 3 2
2 2 0
4 0 2
4 0 4
10 5
4 2 0
3 2 2
3 4 1
0 4 2
4 4 1
0 0 1
3 0 1
4 3 1
3 4 4
0 4 1
10 7
2 3 3
3 2 0
2 3 0
0 0 2
1 3 3
3 3 3
2 2 3
2 2 2
1 1 1
1 1 2
10 7
4 1 4
2 0 2
3 4 5
4 2 0
5 0 4
1 4 5
1 0 3
4 3 2
5 5 1
2 4 0
10 6
3 1 0
0 2 1
0 2 2
2 0 0
2 2 3
1 2 2
2 3 2
1 0 3
0 1 1
2 3 1
10 4
0 0 0
2 0 0
0 0 1
1 2 0
1 1 0
0 2 1
2 1 2
0 1 1
1 0 0
1 1 1
10 6
2 0 3
2 1 2
0 3 0
3 3 1
3 3 2
0 0 3
2 1 0
2 2 1
1 1 3
0 1 3
10 7
3 3 4
2 5 4
5 3 4
0 4 4
3 3 3
4 3 3
2 4 1
0 4 2
0 5 3
2 1 5
10 8
0 4 4
4 2 0
4 3 2
3 1 2
0 2 1
3 2 3
0 3 3
4 0 3
4 1 0
4 0 2
10 2
2 4 2
1 0 3
4 0 1
0 4 1
0 4 5
3 3 1
5 1 0
2 1 0
2 3 1
5 4 0
10 9
2 4 1
4 3 0
1 1 4
0 3 3
4 4 0
2 0 4
2 2 2
3 2 0
4 4 4
0 2 4
10 2
2 0 1
3 1 3
0 1 1
3 0 3
1 1 0
0 0 2
2 0 3
2 2 3
3 3 3
2 0 0
10 6
1 2 1
3 3 4
4 2 1
2 4 2
0 2 1
4 3 2
4 3 3
4 4 3
1 3 1
2 3 2
10 6
0 0 4
3 4 4
3 0 3
0 3 1
0 4 0
4 4 4
3 4 3
0 1 1
2 4 2
0 1 3
10 8
5 2 3
3 0 0
1 5 5
4 2 5
5 2 0
2 4 1
1 0 3
3 3 5
4 3 4
4 2 1
10 8
4 0 3
0 4 1
2 4 3
2 2 0
4 4 0
3 0 1
1 2 4
3 1 1
4 4 2
3 4 1
10 7
2 2 2
0 0 0
1 0 0
0 1 0
0 1 2
1 1 0
0 2 1
0 2 0
2 1 0
2 0 1
10 7
1 5 0
1 2 0
2 3 2
3 3 0
1 0 1
5 0 5
0 4 0
0 1 5
5 3 2
3 5 5
10 6
5 0 4
3 2 1
5 1 1
4 0 1
1 1 3
4 2 0
1 0 2
0 2 5
5 5 2
5 1 3
10 4
2 1 3
1 3 2
2 2 4
0 2 2
3 4 4
4 0 3
2 1 0
3 3 0
1 2 0
4 0 4
10 8
2 4 1
2 4 4
0 2 3
0 3 5
5 2 4
2 0 0
5 2 1
5 0 0
2 5 5
5 5 4
10 8
3 0 0
4 0 1
2 4 0
4 2 4
4 4 2
4 4 1
4 1 2
3 1 1
1 1 1
4 3 3
10 5
2 0 3
0 2 3
3 1 3
0 3 2
0 3 1
2 3 0
2 1 1
3 1 1
3 1 0
1 0 1
10 2
2 1 2
3 3 0
2 0 3
1 2 2
0 0 3
3 1 2
2 3 3
3 0 3
2 2 3
1 1 3
10 5
2 5 2
5 3 4
1 1 5
4 2 4
4 0 4
3 4 3
0 1 3
3 3 3
3 5 1
4 3 2
10 8
3 1 0
0 3 2
0 0 0
1 0 3
1 0 1
0 1 3
2 0 3
3 0 2
2 3 1
1 2 2
10 9
0 2 2
0 1 2
2 1 1
1 0 1
2 1 0
2 2 1
2 0 1
1 2 0
2 0 2
0 1 1
10 6
2 1 1
0 0 2
0 2 0
1 1 1
2 2 2
2 0 0
1 2 1
0 0 1
0 1 2
2 1 0
10 9
1 0 2
1 0 3
3 0 3
1 1 0
1 2 0
2 0 0
1 2 2
2 1 0
2 2 2
1 0 0
10 2
4 2 4
2 0 3
0 1 2
3 2 3
1 1 2
0 3 2
1 1 1
1 4 3
3 1 0
3 2 2
10 2
3 5 5
1 3 1
3 2 3
3 1 2
1 1 3
3 2 2
1 1 2
3 5 0
1 4 5
1 5 4
10 8
3 2 0
3 3 2
3 1 3
1 3 3
2 0 3
3 0 2
2 1 0
0 3 2
3 0 1
0 1 3
10 9
0 2 2
2 0 1
0 1 2
2 1 1
0 0 0
2 0 0
2 2 2
1 1 2
2 1 0
1 1 1
10 7
1 1 0
0 1 2
0 2 2
2 1 1
1 2 1
1 0 2
2 0 0
0 0 1
2 1 2
2 2 0
10 7
2 3 4
1 1 3
3 4 4
3 2 3
0 3 2
4 3 0
1 1 1
0 0 3
4 2 4
4 1 1
10 4
0 4 1
4 1 1
2 0 2
0 0 1
3 2 0
0 4 3
1 1 4
1 1 2
3 4 1
3 1 2
10 9
0 0 1
2 3 4
2 0 4
0 1 0
3 0 3
0 4 2
0 2 0
1 1 2
4 1 1
2 2 3
10 8
3 0 0
1 3 2
3 4 3
3 0 3
2 1 2
0 4 4
2 1 4
1 2 3
4 3 0
3 2 1
10 2
3 2 0
3 2 3
2 1 3
1 0 2
0 0 3
0 2 2
2 0 0
1 3 2
0 3 3
3 0 3
10 5
3 1 0
0 2 0
2 1 3
0 3 1
1 2 1
2 2 3
3 3 0
0 2 3
0 0 1
0 1 2
10 6
1 0 1
0 0 1
2 0 3
1 2 0
0 2 1
1 1 0
0 0 2
0 1 0
1 2 3
1 3 2
10 2
2 1 1
0 4 3
1 0 3
4 1 5
5 3 5
0 0 5
5 3 3
1 0 5
5 2 1
2 3 0
10 5
0 0 0
3 0 1
4 0 1
1 4 0
3 4 4
0 2 0
1 4 1
3 4 3
1 0 4
4 1 1
10 4
3 2 0
2 2 4
5 5 4
5 3 1
4 5 2
2 2 2
1 0 1
0 4 1
2 0 0
3 0 3
10 5
1 1 4
4 0 5
4 0 2
3 2 5
4 3 4
1 4 2
5 1 0
0 5 3
5 2 3
0 3 3
10 7
0 0 1
3 0 0
4 2 4
3 2 4
3 2 2
1 0 0
0 1 4
4 2 1
2 1 0
3 4 3
10 5
3 1 3
0 3 2
3 1 2
3 2 3
3 0 2
2 3 3
2 2 2
2 1 2
1 1 3
2 2 3
10 3
2 2 1
2 1 2
1 2 1
0 1 1
2 0 2
1 0 0
2 0 0
0 0 1
1 1 0
1 2 2
10 2
1 0 1
0 2 2
2 2 3
1 3 2
3 0 3
3 1 1
1 3 1
0 2 3
0 1 3
2 1 1
10 4
0 1 3
4 1 4
2 3 1
1 4 1
2 0 1
2 0 0
1 4 3
4 3 1
2 2 4
3 3 2
10 3
0 3 1
1 1 2
0 0 4
0 4 1
2 3 0
0 1 2
3 3 2
3 3 0
0 2 1
0 2 2
10 2
0 4 3
4 3 0
3 0 4
4 1 4
2 3 4
3 0 0
2 4 3
2 3 1
3 4 3
2 4 1
10 5
0 1 2
1 2 0
2 1 2
0 0 1
0 0 2
1 0 1
1 2 1
0 1 0
2 2 2
0 1 1
10 5
1 0 3
1 3 2
0 1 0
0 0 3
1 1 1
2 1 2
2 2 1
1 2 0
2 2 2
2 1 0
10 3
0 4 2
3 1 1
3 2 3
1 0 4
2 1 0
3 2 4
1 4 4
3 2 2
1 4 2
1 3 1
10 3
3 2 0
1 3 3
2 3 3
3 3 2
0 0 0
2 3 0
3 1 1
1 0 2
1 1 2
3 3 1
10 4
0 3 3
3 2 3
2 0 2
0 2 0
1 2 0
3 2 2
3 0 0
0 3 2
0 0 3
1 3 3
10 6
2 1 5
3 2 2
0 3 4
0 1 2
3 3 4
4 5 4
0 3 0
3 1 3
5 1 1
4 2 5
10 8
0 3 2
1 0 1
2 0 2
2 2 1
3 2 1
2 2 2
3 0 0
3 2 2
3 2 3
3 1 0
10 8
2 2 2
2 0 2
0 0 1
0 1 2
0 2 2
2 0 1
2 2 0
1 0 1
2 2 1
0 1 0
10 9
4 2 2
3 3 1
4 1 2
1 1 4
1 4 4
4 2 3
4 1 4
1 0 1
2 2 0
2 0 0
10 9
1 2 0
2 2 2
0 0 2
1 1 0
1 0 1
0 2 1
0 1 0
1 2 2
1 2 1
2 2 1
10 2
3 1 1
3 3 1
0 1 2
2 0 2
1 2 3
0 0 0
3 1 0
2 2 0
1 0 0
0 3 2
10 9
1 0 0
0 0 2
2 0 1
2 2 2
1 1 1
2 0 0
0 0 1
1 0 2
1 2 1
2 1 0
10 9
3 4 3
1 1 3
2 3 2
2 4 0
2 0 2
1 2 4
2 1 0
2 1 4
3 4 0
1 3 1
10 3
4 1 0
1 5 4
5 2 2
0 1 3
2 2 2
0 4 5
2 4 5
0 5 2
2 1 0
3 5 4
10 3
2 1 1
0 0 1
1 0 2
1 1 1
2 2 1
2 0 1
0 2 2
0 2 0
0 1 2
2 2 0
10 5
1 0 1
2 0 3
3 0 0
3 0 3
3 1 2
0 3 1
1 1 2
1 2 3
0 2 1
3 2 0
10 6
5 2 4
2 3 4
1 5 3
3 3 1
4 4 2
2 4 1
2 1 5
1 5 2
2 3 0
1 0 0
10 3
3 3 4
0 0 1
0 5 2
1 4 1
1 4 5
4 1 2
0 5 1
2 4 0
3 2 1
0 3 1
10 5
2 1 1
0 1 0
1 1 1
3 0 2
0 4 0
0 2 1
0 3 1
0 4 3
2 4 3
0 0 3
10 2
3 1 1
3 0 3
1 3 0
0 0 3
1 1 1
1 1 0
2 2 0
1 2 0
1 1 2
1 0 0
10 9
1 0 0
3 3 0
1 2 2
3 2 1
2 3 0
1 1 2
2 0 1
2 2 2
0 1 0
3 3 1
10 4
1 4 1
3 0 2
2 4 2
3 2 4
1 3 0
0 2 1
0 4 2
0 3 4
3 0 3
4 1 4
10 6
1 0 0
1 1 0
2 0 1
1 2 1
1 2 0
2 1 0
0 0 0
2 0 2
2 2 0
1 1 1
10 7
3 3 0
0 3 3
3 2 0
0 2 0
3 3 2
1 3 1
3 0 3
1 0 2
3 2 1
1 2 0
10 5
2 1 2
2 0 0
1 1 2
1 0 1
0 2 0
0 0 0
1 0 2
0 0 1
1 2 2
1 1 1
10 9
1 0 0
1 1 2
1 2 2
0 2 1
1 0 1
2 0 0
0 0 0
0 2 0
1 2 1
2 1 0
10 9
2 1 2
1 2 0
2 0 0
0 1 0
1 1 1
1 0 2
2 1 1
1 2 1
0 1 2
1 1 0
10 2
2 1 0
0 1 0
1 3 2
0 2 0
2 1 3
3 0 3
2 0 2
0 0 1
0 0 0
3 3 1
10 9
0 2 3
4 0 0
1 0 4
1 4 1
4 4 4
3 0 3
0 0 1
3 0 2
3 3 3
1 3 2
10 2
2 0 2
1 2 1
1 1 2
0 1 0
0 0 1
0 2 1
1 0 1
0 0 0
2 1 1
0 2 0
10 4
3 3 0
0 3 1
1 3 0
0 0 3
2 2 2
2 1 3
3 3 1
1 2 1
3 1 1
3 1 3
10 9
1 0 0
0 0 1
2 1 1
2 0 2
1 0 1
1 2 1
1 0 2
2 1 2
0 2 0
2 1 0
10 9
5 1 5
1 5 1
4 4 3
2 1 5
5 2 4
1 3 0
1 4 1
5 5 3
1 4 2
0 2 2
10 8
2 2 1
3 0 0
1 3 1
1 2 3
1 2 2
0 0 2
2 2 0
2 3 2
3 1 2
2 1 1
10 2
4 4 5
4 1 0
0 5 5
5 1 1
2 4 2
1 4 4
5 0 3
4 2 0
3 5 1
2 5 3
10 7
2 1 2
2 0 1
1 2 0
2 1 0
1 2 2
1 2 1
0 1 1
0 2 1
2 2 0
0 1 2
10 5
3 2 0
0 1 0
3 3 2
0 2 0
1 2 1
0 1 2
0 2 3
0 3 0
2 3 1
2 3 0
10 7
3 5 3
5 3 2
2 1 2
4 5 4
1 4 4
4 2 3
5 0 2
1 1 4
0 1 5
3 0 3
10 9
2 0 0
1 1 0
0 0 1
1 2 1
1 2 2
2 0 2
0 2 1
3 0 0
1 1 2
0 0 0
10 7
0 3 3
2 0 3
2 2 2
0 1 2
3 1 3
3 0 3
1 3 3
3 3 1
2 3 2
0 1 3
10 8
2 0 1
0 0 2
1 1 1
1 2 1
0 1 2
0 1 0
2 2 0
2 2 1
0 2 2
1 0 0
10 2
2 0 2
2 3 0
0 3 2
2 2 1
0 1 2
1 1 0
0 3 3
3 1 3
0 0 1
1 2 1
10 9
3 2 3
3 3 1
0 1 2
3 0 2
3 1 0
3 2 0
0 0 0
3 0 3
0 1 0
3 0 1
10 7
1 1 1
0 2 0
0 0 2
1 2 0
2 1 2
2 2 0
1 1 2
1 0 0
2 0 2
0 0 1
10 9
3 4 2
4 5 3
4 5 0
5 0 0
4 0 0
1 0 3
3 2 2
4 3 5
4 3 1
1 4 0
10 8
1 2 2
2 2 0
4 1 3
4 0 0
3 2 4
1 4 2
0 4 4
3 0 2
1 4 1
0 2 1
10 7
5 2 2
3 5 5
5 5 5
1 4 0
4 2 2
0 2 1
2 3 1
2 4 5
0 2 5
5 4 5
10 9
4 3 0
3 0 4
0 4 0
2 4 2
1 4 1
5 5 3
0 3 0
4 1 5
2 4 1
0 2 2
10 4
3 2 2
1 4 4
0 3 3
3 4 0
4 1 1
2 3 3
3 2 3
2 3 2
4 1 0
3 4 2
10 5
3 2 1
0 1 3
2 2 2
0 1 0
0 3 2
3 2 2
2 3 0
3 2 3
2 0 2
1 1 1
10 9
0 3 0
2 3 3
0 1 1
0 1 3
2 1 0
1 0 3
2 2 0
2 0 3
2 3 0
1 1 3
10 3
0 3 4
4 1 4
0 2 1
1 2 4
4 2 2
2 4 2
1 4 3
2 2 1
4 3 0
1 0 4
10 2
3 4 2
0 4 1
2 0 0
5 5 5
1 4 5
5 5 0
0 3 4
5 5 2
0 5 0
3 3 4
10 3
2 2 1
1 1 0
1 2 0
3 1 2
2 3 0
0 0 2
1 1 2
1 0 3
3 0 1
0 1 1
10 6
5 5 5
0 3 3
1 5 4
2 0 1
3 4 0
0 5 2
1 2 3
0 3 5
0 5 0
5 2 2
10 7
2 1 4
2 0 2
2 2 1
2 3 2
2 4 0
1 0 1
1 0 0
1 2 1
0 1 3
2 3 4
10 5
4 3 4
3 0 2
0 1 3
0 1 0
5 0 3
4 4 3
4 0 5
1 4 2
1 4 4
3 4 3
10 9
1 1 1
1 1 2
1 0 0
0 1 0
2 1 2
0 0 2
0 1 2
2 1 0
1 1 0
2 2 0
10 6
2 2 0
1 1 2
0 2 2
0 1 0
0 1 1
0 2 1
1 1 1
0 2 0
0 0 1
2 1 1
10 8
2 0 3
2 0 0
0 1 2
3 3 2
3 0 1
2 3 2
3 1 1
2 2 2
3 0 3
0 0 3
10 3
4 4 0
3 1 2
0 4 3
0 0 0
4 0 3
2 1 1
2 3 0
1 0 3
0 0 1
2 1 3
10 2
1 0 1
2 0 0
0 1 1
2 2 0
0 2 1
0 2 2
2 2 1
1 2 2
1 2 0
0 0 1
10 5
2 0 3
2 2 3
2 2 0
0 0 0
0 2 1
3 1 3
3 2 2
1 0 3
1 0 1
0 1 3
10 4
0 2 1
0 1 1
0 2 2
1 2 2
2 0 1
0 1 0
1 0 1
0 2 0
2 1 1
1 2 1
10 8
4 1 1
1 1 0
4 2 2
2 2 2
2 1 4
0 3 0
4 1 3
4 4 4
2 0 1
4 0 2
10 9
1 1 2
1 1 0
2 1 2
2 1 1
0 0 1
2 2 2
0 2 1
1 2 2
1 2 0
0 1 2
10 8
1 5 2
5 4 2
1 0 5
1 0 0
0 0 1
2 5 1
5 0 0
5 2 1
1 1 2
1 2 3
10 5
3 3 1
3 1 0
3 3 3
0 3 2
1 0 0
3 2 3
0 1 2
3 2 1
0 1 3
0 2 1
10 6
2 1 3
4 0 0
1 3 0
2 1 4
3 1 4
0 4 0
0 2 0
1 1 1
3 1 0
0 0 1
10 8
2 0 3
3 0 3
1 2 2
2 2 3
3 2 1
1 1 3
0 0 2
1 3 0
1 0 3
3 3 2
10 9
3 1 2
3 1 4
1 1 3
3 2 4
1 3 4
1 1 1
0 4 1
4 0 4
4 2 0
1 0 2
10 8
2 0 2
4 3 5
2 0 0
2 5 3
2 2 0
4 4 2
1 3 4
5 1 3
2 0 1
3 4 5
10 5
1 3 2
4 1 4
5 0 4
5 1 5
4 1 2
5 0 2
5 1 1
1 1 1
0 2 4
3 3 3
10 9
3 0 1
0 3 1
1 2 4
1 2 3
2 2 0
2 0 0
1 1 1
1 4 3
0 4 4
2 0 3
10 2
4 0 4
3 4 3
5 1 1
1 1 0
4 1 2
3 2 5
2 1 1
2 1 2
3 0 5
0 1 2
10 6
0 0 0
2 2 0
1 2 2
0 2 1
0 1 2
1 3 3
3 1 3
1 0 0
2 0 2
2 2 2
10 9
3 3 4
3 4 2
0 2 3
3 1 0
3 0 1
3 4 3
2 3 1
0 2 2
2 0 3
2 1 2
10 3
5 1 4
4 0 1
2 0 0
3 5 3
4 4 5
4 3 2
1 1 4
4 1 0
0 1 0
2 2 0
10 6
1 3 1
1 0 3
1 0 2
0 2 2
0 2 1
2 1 2
0 1 1
0 2 3
0 3 0
2 3 3
10 8
3 0 1
3 4 0
3 4 1
3 1 2
2 4 2
1 0 3
1 3 1
3 2 2
3 3 3
2 3 0
10 2
0 0 0
3 3 1
0 4 2
3 2 2
1 4 1
1 2 1
4 3 3
4 4 3
0 4 4
4 2 0
10 5
2 2 2
0 0 1
0 1 2
2 2 1
1 2 0
1 1 1
1 0 2
0 1 0
0 2 1
2 2 0
10 3
1 5 3
1 3 0
3 2 3
4 3 1
1 0 2
4 3 3
2 0 0
4 2 5
4 5 1
0 1 2
10 6
1 2 2
3 1 2
3 2 2
3 0 0
0 0 0
3 2 1
2 2 3
3 3 0
1 2 3
2 0 2
10 4
3 3 2
1 5 5
3 4 0
5 5 0
3 0 3
1 1 5
5 5 5
1 0 3
4 1 0
4 3 0
10 7
0 1 1
2 0 2
2 0 1
1 2 0
2 2 2
0 1 2
1 0 1
0 0 2
0 0 1
0 2 2
10 7
1 0 2
1 0 0
1 1 2
2 1 4
0 2 2
3 0 3
0 2 0
4 0 3
1 0 4
3 4 4
10 6
2 1 1
2 1 0
0 3 2
3 3 2
3 3 1
1 1 0
0 2 0
2 2 0
0 2 3
0 3 0
10 9
1 2 0
1 0 1
0 1 2
2 0 1
1 2 2
0 0 2
2 0 0
2 1 2
1 1 2
0 2 1
10 4
0 4 1
3 4 1
1 1 3
4 3 2
1 3 1
0 0 3
4 1 4
0 3 2
4 1 0
1 3 4
10 6
3 2 2
4 0 3
4 4 4
2 1 4
3 3 1
4 2 4
4 3 3
4 0 0
2 2 1
1 4 3
10 7
2 2 0
2 2 2
1 0 2
0 2 0
1 0 1
0 0 2
1 2 1
0 2 2
2 2 1
2 0 1
10 4
2 1 0
3 3 3
3 1 2
2 0 0
2 0 2
1 2 1
2 3 2
2 0 1
2 3 1
1 0 1
10 8
0 0 2
2 0 2
0 0 0
1 1 1
1 2 1
1 1 0
0 1 1
2 1 2
0 1 0
2 0 0
10 2
2 2 0
0 2 2
1 1 1
0 2 1
2 2 1
1 2 1
2 1 1
0 1 0
0 2 0
1 0 0
10 2
1 2 0
2 2 1
0 0 0
2 1 1
1 2 1
1 0 2
0 0 1
0 2 0
1 1 1
0 2 1
10 8
4 1 2
3 4 2
0 0 4
3 2 1
1 4 1
0 2 2
1 4 4
0 2 1
2 3 3
0 3 4
10 3
2 1 0
0 3 3
3 1 2
4 0 3
2 3 3
1 0 3
4 3 0
3 1 3
3 4 1
0 1 3
10 7
1 1 1
0 1 1
1 0 1
2 2 2
0 2 0
0 1 0
0 2 2
1 0 0
1 0 2
2 1 0
10 5
1 0 0
0 1 1
0 1 2
2 0 1
2 2 1
1 1 0
0 1 0
1 1 2
0 0 0
0 2 0
10 6
2 1 4
1 1 3
4 1 1
0 3 3
3 0 3
2 3 4
2 3 1
2 2 1
1 4 2
1 0 4
10 4
3 3 2
2 2 1
0 3 0
0 0 0
2 3 3
3 3 0
3 1 2
3 0 0
0 1 1
1 2 2
10 8
2 1 1
1 0 0
0 3 2
2 2 1
3 0 3
0 1 1
0 0 0
2 2 2
0 1 0
3 2 0
10 6
1 3 1
5 3 4
1 5 2
2 1 2
2 2 1
3 4 1
0 5 1
4 3 3
0 2 2
0 3 0
10 5
3 0 2
0 1 1
1 5 3
5 3 4
0 4 2
2 1 2
5 2 4
3 3 3
3 4 1
3 5 3
10 4
2 4 4
4 2 0
0 4 4
1 0 0
4 4 4
1 3 3
3 3 0
1 2 0
0 4 1
4 2 1
10 6
2 0 1
2 1 2
1 2 0
1 2 1
2 2 2
0 1 0
0 2 2
1 1 0
1 0 2
1 1 2
10 2
2 1 1
5 2 1
1 2 5
5 3 1
4 5 1
3 5 5
0 5 3
2 5 1
3 3 4
0 3 1
10 6
2 4 5
1 2 1
0 0 4
4 0 1
3 0 1
4 1 0
3 3 3
5 5 4
5 3 4
0 1 5
10 7
0 3 2
1 0 2
3 1 1
0 2 1
1 1 2
0 2 0
3 0 2
0 3 0
2 3 1
1 3 1
10 3
1 4 4
3 3 2
0 3 1
0 3 0
0 5 5
5 0 4
3 1 5
5 2 5
2 4 0
4 4 0
10 6
2 3 2
1 1 3
2 0 2
0 2 0
0 0 1
3 3 2
0 3 0
2 3 0
1 2 3
3 0 1
10 9
0 2 3
1 2 1
1 1 0
3 2 1
3 1 3
0 2 1
3 1 2
0 3 3
0 2 2
0 1 1
10 3
2 1 1
3 2 3
3 3 1
2 3 1
3 1 2
0 2 3
1 0 3
0 2 0
0 3 3
3 3 2
10 2
3 4 0
5 5 5
2 3 5
2 2 2
0 2 0
0 3 2
0 0 1
5 0 4
3 3 1
2 3 2
10 2
1 2 0
0 1 3
0 2 3
1 2 3
1 3 0
2 0 0
0 2 2
3 1 0
0 0 2
2 1 2
10 5
2 1 4
5 5 1
5 3 1
4 3 2
2 1 1
3 1 4
4 5 1
2 0 5
2 1 3
1 4 2
10 6
3 0 1
3 1 0
1 1 3
2 1 1
3 3 2
2 1 3
2 0 2
0 1 1
1 1 1
1 2 0
10 2
3 1 0
1 2 4
5 0 4
4 2 1
1 3 0
4 3 1
5 4 1
1 5 0
0 4 4
1 3 4
10 7
0 2 0
1 1 0
0 1 0
0 1 2
1 1 1
1 2 1
0 0 1
1 1 2
0 0 0
0 2 2
10 7
0 2 4
3 2 2
4 0 2
1 2 2
1 1 3
0 1 4
2 3 2
3 1 1
0 1 1
4 4 3
10 4
0 2 1
0 1 0
0 0 0
1 0 0
1 1 0
1 0 2
1 1 1
1 0 1
0 0 1
2 0 1
10 7
1 2 2
2 3 1
3 0 1
0 3 3
3 1 2
1 2 0
0 2 1
2 1 1
2 0 3
3 3 2
10 8
0 1 2
2 2 3
0 0 0
1 1 1
3 1 1
3 2 3
3 1 3
1 3 1
0 0 1
0 1 0
10 4
2 2 0
1 0 1
2 0 0
1 0 2
0 2 1
0 0 0
1 2 2
0 1 2
2 0 2
1 1 2
10 5
4 1 2
4 4 0
2 2 0
0 1 1
1 3 2
2 2 2
3 3 1
2 0 2
3 1 0
0 3 0
10 6
1 0 1
3 3 1
1 0 3
4 2 4
2 2 2
1 3 1
0 1 1
3 2 1
3 0 3
4 4 2
10 6
4 4 4
4 2 0
0 2 0
3 0 3
2 1 4
1 4 3
0 4 4
3 3 2
2 0 0
1 3 3
10 5
1 2 1
0 3 1
4 1 2
3 2 2
1 4 3
4 2 3
1 3 3
1 3 1
0 3 2
2 1 2
10 4
0 1 3
4 4 4
0 3 1
2 1 2
1 3 0
2 0 0
3 4 3
3 4 4
4 0 3
4 0 4
10 4
1 0 0
0 2 0
0 0 2
1 1 0
1 2 0
0 1 2
0 1 1
2 1 1
0 2 1
1 2 2
10 9
3 0 5
4 1 4
4 1 3
5 4 1
0 0 2
5 4 4
5 5 3
4 2 2
3 4 4
0 3 1
10 2
2 0 0
0 3 1
2 2 1
2 1 1
3 0 2
0 0 1
3 2 1
2 3 2
2 3 1
3 3 3
10 4
1 2 3
3 2 2
2 0 1
0 0 2
2 2 0
3 2 3
0 1 2
0 3 0
3 1 2
1 3 3
10 7
5 4 0
5 2 0
1 3 5
5 5 1
1 5 3
3 1 1
1 1 1
1 5 5
5 0 5
3 4 1
10 3
2 2 1
2 3 0
1 3 3
2 3 2
1 0 1
2 2 0
3 0 2
1 2 2
2 0 2
2 1 1
10 7
5 1 1
4 3 5
2 2 3
1 5 1
1 5 0
1 5 4
3 2 1
2 0 1
1 0 3
3 2 0
10 6
2 1 0
1 1 0
1 2 0
1 2 2
2 1 1
2 2 0
2 2 1
0 2 0
0 1 0
2 1 2
10 8
3 2 1
4 0 4
3 0 2
4 2 4
3 3 0
2 1 1
3 1 1
2 2 2
4 3 5
3 0 0
10 4
0 2 2
2 1 1
2 2 0
2 2 2
0 0 1
0 0 0
2 1 2
1 0 0
1 0 2
2 1 0
10 7
0 3 3
3 1 1
3 3 0
2 3 3
1 1 0
0 0 2
3 2 2
3 2 3
0 3 0
0 0 0
10 8
3 0 3
3 0 1
3 3 0
0 3 3
2 3 2
2 2 3
3 3 2
1 0 3
1 3 0
0 3 0
10 6
1 1 2
2 2 2
0 2 2
1 2 0
2 1 0
2 1 1
2 0 2
0 1 2
0 1 0
0 0 0
10 5
1 1 1
3 2 1
4 4 4
1 4 2
1 0 3
1 1 4
4 2 1
3 4 3
2 1 1
3 4 4
10 6
0 3 0
1 1 2
3 1 3
0 3 2
2 1 0
0 1 1
2 0 2
2 2 2
1 1 1
1 3 1
10 3
5 1 4
5 0 0
4 5 5
0 5 2
3 2 4
1 3 5
0 3 2
0 1 5
5 1 0
5 0 1
10 9
1 0 2
1 1 0
2 0 0
2 1 0
0 2 0
1 1 2
2 1 2
2 1 1
0 0 0
0 2 2
10 2
2 2 1
1 1 2
0 2 2
2 0 2
2 2 0
0 2 0
0 0 0
2 0 0
0 2 1
1 2 2
10 3
0 1 3
3 1 2
3 0 1
1 1 1
0 3 1
0 2 3
3 3 1
1 2 1
3 3 3
1 1 2
10 2
2 0 1
0 2 3
2 1 0
3 3 1
2 2 1
2 1 3
3 0 2
2 3 3
3 0 3
1 3 2
10 8
1 2 0
2 2 1
1 0 2
1 1 2
0 2 1
0 1 1
0 0 2
1 0 1
2 2 2
0 2 2
10 6
1 1 0
0 2 1
1 0 2
0 0 1
2 2 0
2 0 2
2 0 1
0 2 2
1 2 1
2 1 2
10 3
2 2 2
2 1 2
1 0 2
2 2 3
2 0 1
1 1 2
3 3 1
3 3 3
3 1 2
1 3 3
10 5
0 2 2
2 1 1
1 0 0
0 1 3
3 3 3
2 0 3
2 1 3
3 0 2
1 0 3
2 3 2
10 3
2 1 0
0 1 0
0 2 2
1 0 2
1 2 2
1 2 1
0 1 1
1 1 0
0 0 1
0 2 1
10 5
3 1 2
4 0 2
0 0 4
2 1 1
3 4 0
2 0 1
1 0 0
4 1 4
2 2 3
4 2 2
10 9
1 3 0
3 4 0
3 3 0
3 4 2
3 1 0
2 1 0
4 2 4
1 4 0
3 1 4
1 0 4
10 3
1 0 4
0 3 1
0 2 0
4 5 2
4 5 1
1 1 2
0 1 3
3 4 5
0 2 1
5 0 3
10 7
2 2 5
3 2 0
2 1 5
4 0 1
0 2 3
0 4 2
5 5 3
2 5 1
5 0 1
3 2 2
10 6
1 0 3
2 0 2
0 0 3
2 3 2
2 2 0
1 1 2
0 3 1
1 3 1
1 2 0
1 0 2
10 9
1 0 2
2 4 3
0 4 4
0 1 1
0 3 2
3 1 4
2 2 0
3 4 0
3 1 1
3 2 3
10 8
2 1 4
3 4 2
0 2 0
3 3 4
1 1 3
3 3 0
4 1 1
3 1 2
2 1 0
2 3 3
10 2
1 1 2
3 1 0
0 2 0
2 1 1
0 1 0
1 3 1
1 2 0
2 2 1
1 0 3
3 3 2
10 3
2 0 3
3 3 2
3 3 3
1 1 0
1 2 3
3 1 2
1 0 2
1 1 1
0 3 2
1 1 2
10 2
0 0 1
1 1 1
0 2 0
1 1 0
2 2 1
0 1 2
2 2 2
2 1 1
0 1 1
0 2 2
10 3
1 1 1
2 0 2
0 2 2
0 0 1
1 0 2
0 2 0
2 1 1
2 2 0
1 2 0
2 2 2
10 5
0 1 2
3 3 0
1 1 1
1 0 1
1 2 3
0 0 2
1 3 2
2 0 2
0 1 0
1 3 1
10 5
2 0 3
2 1 1
0 1 1
0 2 3
2 3 1
2 1 3
1 3 3
3 3 1
0 2 1
1 2 2
10 5
0 1 1
0 0 2
2 0 1
0 0 1
2 1 0
2 1 1
1 1 0
2 0 0
2 1 2
1 1 2
10 7
1 2 5
0 0 2
0 4 1
5 3 3
5 4 4
5 3 5
3 2 4
1 0 1
4 3 4
4 1 0
10 7
1 0 0
1 2 1
2 1 1
0 1 0
2 0 2
1 2 2
1 0 1
1 2 0
0 0 1
0 0 2
10 4
3 4 4
4 4 1
1 4 1
0 4 3
3 2 3
3 3 0
4 4 2
1 2 4
4 1 1
3 3 1
10 9
1 2 0
0 3 0
0 3 1
3 2 2
2 2 1
0 1 0
0 0 1
1 1 3
1 3 0
2 1 1
10 5
0 0 3
3 2 0
0 1 3
1 2 2
2 2 0
2 3 1
3 3 2
3 0 1
0 0 0
3 1 0
10 9
2 2 2
1 2 0
0 0 0
0 2 0
2 0 2
2 0 1
1 2 2
0 1 0
0 0 1
1 0 1
10 3
0 4 4
0 3 4
4 1 4
2 2 0
0 0 1
2 1 0
4 2 1
2 3 0
0 4 2
3 4 2
10 8
4 3 2
1 2 0
0 2 0
5 3 1
4 3 4
1 2 2
0 4 2
1 2 3
0 0 5
2 2 1
10 7
1 0 1
3 1 0
2 3 0
0 0 1
2 2 2
1 1 2
1 3 1
0 2 2
0 2 0
3 0 0
10 4
2 0 3
3 0 2
3 1 3
2 1 3
2 2 3
3 3 1
0 3 3
3 2 1
3 1 0
2 3 3
10 6
1 0 3
3 0 3
3 1 3
0 1 1
1 3 3
1 0 2
3 0 1
1 3 2
3 3 1
0 0 2
10 7
3 2 3
2 2 1
1 0 3
3 1 0
3 2 2
3 3 2
0 0 1
0 3 2
0 2 3
2 0 1
10 5
0 3 4
2 1 0
3 0 1
4 3 1
2 0 0
3 4 4
3 1 4
3 4 2
1 3 2
4 4 2
10 6
2 0 0
0 1 2
2 1 1
1 2 0
0 0 2
0 1 0
2 0 2
0 0 0
2 2 1
1 1 2
10 4
0 1 2
2 0 1
2 1 0
1 2 0
2 1 1
1 2 1
1 0 0
2 0 2
1 2 2
0 2 1
10 7
3 2 2
0 3 0
1 0 3
0 2 1
1 2 1
4 0 4
4 3 3
3 0 3
0 2 4
3 3 3
10 3
1 2 2
1 0 0
2 1 2
0 1 0
2 1 0
2 2 2
1 0 2
0 0 0
2 0 0
0 2 2
10 2
2 0 2
1 0 2
0 1 2
3 0 1
0 3 2
3 1 2
1 2 3
0 2 0
1 1 0
1 3 2
10 8
2 2 1
0 0 2
1 0 1
1 1 1
0 1 2
2 1 0
0 0 1
1 1 0
1 2 2
0 2 2
10 7
0 1 0
0 0 2
1 3 1
2 0 1
1 2 2
3 3 2
1 0 3
1 1 2
1 3 0
0 1 1
10 5
0 2 2
1 3 3
2 0 2
0 2 0
0 0 2
2 3 3
2 1 1
3 0 3
1 2 0
2 0 0
10 7
0 0 1
2 3 1
2 3 2
2 1 2
1 0 2
0 2 3
3 3 1
1 3 2
2 1 0
3 3 3
10 2
2 0 2
2 3 1
4 4 0
3 2 0
3 0 1
0 4 3
0 0 0
3 4 4
1 2 0
0 1 0
10 2
3 1 1
2 0 4
4 4 0
0 4 3
4 2 4
4 0 3
1 2 3
3 3 0
3 4 0
0 1 0
10 8
2 3 0
1 3 1
1 1 2
1 0 1
1 2 0
3 2 0
0 2 1
3 2 2
1 0 2
3 3 1
10 2
1 4 2
4 5 5
3 5 3
4 4 0
3 4 0
1 3 2
0 2 2
2 5 1
5 0 0
3 1 0
10 7
3 0 2
4 5 2
0 4 4
2 1 0
5 4 0
5 1 3
1 4 1
3 0 4
5 4 2
4 4 5
10 8
3 5 3
3 4 1
3 1 2
2 2 0
1 0 1
4 0 0
2 4 2
5 2 3
4 5 2
2 5 0
10 4
0 2 3
2 1 3
2 3 2
3 3 3
2 1 1
3 0 0
1 0 0
0 1 2
1 1 3
0 1 1
10 7
0 2 4
5 0 2
5 1 2
0 5 4
4 0 0
1 2 0
2 3 0
1 3 5
2 0 5
2 0 4
10 4
1 4 2
3 4 1
0 1 5
4 3 1
1 4 5
2 3 3
4 0 5
3 0 2
3 1 0
4 0 0
10 4
0 0 0
2 0 2
3 2 1
1 1 2
3 2 2
0 1 1
1 0 1
2 3 0
1 1 3
3 3 2
10 6
2 0 2
3 2 1
3 1 1
2 0 0
3 1 2
2 3 0
2 3 1
3 3 3
3 3 0
0 3 0
10 3
2 3 4
4 0 0
1 1 0
0 3 1
1 2 2
2 1 2
0 2 1
2 2 2
2 4 1
2 4 4
10 2
1 3 4
1 1 0
4 2 2
0 4 2
1 3 2
0 1 2
2 2 1
4 2 1
3 3 1
3 2 3
10 6
4 1 1
3 4 1
3 0 2
3 2 4
3 4 2
3 5 0
5 5 5
0 0 3
1 0 1
4 3 1
10 2
0 5 1
5 0 1
5 5 0
2 1 2
0 4 1
3 4 3
4 0 0
3 4 0
3 3 2
5 5 4
10 7
5 3 0
3 3 0
0 0 3
1 1 1
2 5 3
1 0 2
4 5 3
4 1 3
3 4 3
3 5 2
10 6
4 3 2
1 4 3
5 2 3
4 0 4
2 1 5
4 3 3
0 0 4
0 2 0
5 3 1
3 2 2
10 2
4 0 0
4 2 2
2 3 1
4 2 3
2 1 1
4 1 4
4 3 4
1 2 1
4 4 4
2 0 4
10 3
0 2 0
1 2 1
2 0 2
1 1 1
2 2 0
0 0 2
2 2 1
1 0 2
0 0 1
2 1 1
10 5
2 0 1
2 1 1
0 2 1
0 0 2
2 2 1
1 2 1
2 1 2
1 0 1
1 2 2
0 1 0
10 6
1 1 3
2 1 1
1 3 0
0 3 0
0 0 3
2 2 0
3 3 1
0 1 3
1 0 3
3 0 2
10 4
0 5 4
0 5 2
0 0 3
5 2 2
5 2 0
1 4 5
2 5 2
3 2 3
1 4 1
1 1 3
10 6
2 0 4
4 0 3
3 3 3
4 5 0
1 3 2
5 0 4
5 0 3
3 0 1
1 1 3
5 5 2
10 9
0 1 1
2 0 2
0 1 3
1 3 3
2 0 1
2 0 0
3 0 1
3 1 1
1 3 2
1 1 1
10 4
4 0 0
5 2 4
5 3 3
3 2 1
4 0 4
2 1 4
0 1 0
4 1 0
1 1 2
5 4 1
10 8
0 1 0
0 2 0
1 1 0
2 1 1
1 1 1
1 0 0
2 1 2
0 0 2
1 1 2
1 0 2
10 6
5 5 0
3 1 0
3 3 1
2 5 2
5 2 0
0 1 3
5 0 3
5 1 1
0 1 5
3 0 4
10 2
2 4 1
4 2 4
1 2 0
4 4 0
4 4 4
0 3 3
0 3 2
1 2 3
1 0 0
3 4 3
10 5
2 1 0
0 1 0
0 0 4
4 2 0
3 3 1
3 3 4
2 0 4
1 2 2
1 0 2
1 1 1
10 3
1 1 0
0 1 2
1 2 1
0 1 1
1 1 1
2 2 1
1 0 2
2 1 1
2 1 2
2 0 1
10 2
1 0 2
1 1 4
5 2 2
2 3 3
5 0 2
1 4 5
2 5 3
2 0 2
3 2 1
3 1 1
10 7
2 4 0
4 2 1
4 1 4
3 0 1
4 3 2
1 3 4
0 4 0
4 4 3
2 1 1
4 4 4
10 9
1 2 0
1 0 0
0 1 0
0 3 3
1 0 2
3 1 2
3 3 1
1 1 2
1 3 3
2 2 2
10 8
1 2 2
1 0 0
2 3 1
0 3 0
0 0 0
3 2 1
0 3 1
2 0 0
0 0 1
1 0 3
10 6
1 2 0
1 2 1
0 1 1
0 2 0
1 1 0
2 1 0
0 1 2
0 0 1
2 0 1
1 2 2
10 7
2 3 3
2 2 2
0 0 1
3 3 3
2 0 0
3 0 1
1 0 3
2 0 2
1 2 1
1 1 0
10 2
4 4 2
3 1 2
0 1 4
2 3 1
3 2 2
1 0 2
4 3 3
2 5 2
3 2 4
1 1 2
10 3
5 5 3
5 4 4
0 3 3
1 5 1
3 4 3
0 4 1
0 3 5
0 0 1
1 3 5
0 1 3
10 5
5 5 0
3 2 4
2 5 0
0 4 0
2 0 3
1 0 4
0 3 2
4 0 4
1 4 1
4 1 1
10 9
1 2 2
2 2 1
0 2 2
1 0 1
0 1 0
0 1 1
2 2 0
0 0 0
1 0 2
2 0 1
10 9
4 4 2
1 0 1
0 1 0
2 4 3
2 3 1
1 2 1
2 2 2
1 2 4
1 2 0
2 4 0
10 2
0 3 0
0 0 1
2 2 1
2 1 3
3 1 3
1 1 3
3 2 2
2 1 0
0 2 0
3 1 1
10 9
1 0 0
0 0 1
1 2 2
2 1 0
1 0 2
2 1 2
0 0 0
1 1 2
0 2 2
1 1 0
10 7
3 1 2
0 2 2
3 0 3
2 3 1
1 0 0
2 1 1
1 0 2
0 0 0
0 2 3
2 2 3
10 4
3 1 1
3 1 0
3 0 3
0 1 2
0 2 0
1 3 1
1 0 2
0 3 3
3 2 0
1 1 3
10 6
1 3 3
1 0 5
5 3 4
3 0 3
3 1 0
2 0 2
4 1 5
3 0 2
0 1 3
2 3 3
10 2
1 3 2
2 3 2
1 0 3
4 1 4
3 0 0
0 4 4
0 4 2
2 3 0
1 1 0
3 1 0
10 7
0 3 5
1 4 0
3 2 3
3 3 3
0 4 0
1 2 1
3 0 5
2 1 5
2 2 2
0 1 3
10 2
4 3 5
3 3 5
1 3 2
3 1 5
1 2 2
0 2 1
4 2 3
5 5 3
3 0 4
1 3 1
10 2
0 0 2
0 0 1
1 3 3
3 3 2
1 1 3
2 3 3
3 3 1
3 1 2
2 3 0
0 2 1
10 8
0 3 2
3 0 0
0 2 2
0 2 1
0 3 0
0 1 1
0 0 2
3 0 3
3 2 0
3 1 3
10 3
3 2 3
3 2 0
3 0 1
1 2 2
3 0 2
2 1 0
3 3 3
0 1 0
1 3 2
3 0 3
10 5
1 4 2
0 3 3
4 0 1
0 3 4
1 3 3
2 0 3
4 1 3
4 3 0
0 4 3
1 2 0
10 4
0 1 3
3 1 1
3 1 2
0 1 1
0 2 0
3 2 0
0 3 0
1 1 3
2 1 0
2 2 0
10 9
4 2 2
0 2 0
3 0 4
2 1 2
2 2 1
3 1 4
2 2 4
3 3 4
4 0 2
1 2 4
10 4
0 2 0
1 0 2
0 0 0
0 1 0
2 2 0
0 2 2
2 0 0
1 0 0
2 1 1
1 2 0
10 7
1 1 1
3 3 2
0 2 1
3 2 0
2 1 3
3 1 3
1 1 0
0 0 1
3 3 0
0 1 0
10 8
0 0 1
3 4 2
0 1 4
2 4 1
0 4 0
0 0 3
2 3 4
3 1 1
4 4 1
2 2 1
10 4
1 1 3
4 2 3
0 1 4
2 2 0
3 2 3
2 1 0
0 4 0
1 0 0
1 2 0
1 1 0
10 2
2 2 0
2 0 0
1 3 1
3 2 3
1 2 1
2 3 3
2 2 3
0 0 0
0 1 0
0 2 0
10 6
2 0 2
1 2 2
1 0 2
0 1 1
0 0 1
1 0 1
0 1 0
0 0 0
2 0 1
2 1 2
10 9
0 3 2
0 1 1
0 5 4
5 3 3
1 4 5
1 2 2
1 4 3
3 3 0
1 1 5
0 1 5
10 3
2 3 2
2 0 3
3 5 3
2 0 2
2 2 1
4 0 2
0 2 4
5 2 0
0 3 1
4 5 4
10 4
0 0 2
1 2 0
1 2 1
1 1 2
0 2 1
0 1 2
2 0 0
1 1 0
2 0 2
2 2 2
10 7
0 0 2
1 0 2
0 1 0
2 0 1
1 1 1
2 2 0
0 2 2
0 1 2
0 0 0
2 0 2
10 7
4 2 0
1 0 4
0 0 2
1 3 2
1 3 4
2 2 1
3 4 1
3 3 1
2 2 3
0 2 2
10 3
2 0 0
2 1 1
1 0 0
1 1 1
2 0 2
1 0 1
1 1 0
1 1 2
2 1 0
0 1 1
10 8
1 2 1
2 2 1
1 0 0
2 2 0
0 0 2
2 1 0
1 1 1
0 0 1
0 1 1
1 0 1
10 2
3 1 0
4 0 1
4 0 4
2 2 4
0 2 0
1 0 0
3 1 3
3 2 4
2 4 2
0 0 0
10 9
3 4 1
1 3 4
1 0 2
2 4 3
0 2 0
5 3 4
1 5 5
3 2 2
3 5 1
1 2 2
10 4
3 0 0
0 2 3
2 0 1
1 2 3
3 3 2
1 3 2
2 2 0
0 1 2
3 1 0
0 3 0
10 8
3 1 1
1 1 2
0 0 3
2 1 0
2 3 3
3 2 1
2 2 3
1 2 2
0 1 2
0 3 3
10 4
1 2 0
1 0 0
2 2 1
2 2 0
2 0 2
2 2 2
1 2 1
1 0 1
0 0 2
2 1 2
10 2
2 4 4
3 1 0
2 0 3
3 4 0
2 3 1
2 1 2
4 3 3
3 2 3
1 3 2
1 0 4
10 3
3 1 2
2 2 3
1 0 3
1 0 0
3 0 2
3 2 1
0 3 1
0 2 0
2 2 0
0 2 1
10 9
0 0 1
1 0 0
4 2 3
0 4 0
2 3 2
4 0 1
0 4 3
0 1 2
2 3 1
1 2 0
10 3
1 3 0
1 3 2
0 1 0
2 3 2
3 2 2
1 1 1
1 3 3
2 2 0
2 0 1
1 3 1
10 2
1 0 3
1 2 2
3 3 0
0 3 2
0 2 1
2 0 2
3 1 3
0 1 3
0 1 1
0 2 3
10 8
1 1 1
3 2 3
3 1 0
3 0 0
3 3 1
1 0 2
1 1 0
0 3 2
1 0 1
3 1 1
10 2
2 1 0
3 3 1
3 1 3
0 3 2
3 3 3
3 0 2
3 0 0
0 3 0
3 2 3
3 2 2
10 9
2 2 2
1 3 1
4 0 2
2 3 1
0 4 0
2 1 1
2 2 3
4 3 0
3 3 1
3 1 4
10 2
0 3 0
1 3 3
2 3 3
1 0 2
0 3 1
1 1 3
1 2 3
2 1 0
3 0 2
0 2 2
10 4
1 0 0
1 1 3
0 0 0
2 3 2
2 0 1
2 2 0
1 2 3
3 1 3
0 3 3
3 0 0
10 4
0 0 1
0 2 2
2 2 2
2 0 1
3 3 0
2 3 1
3 3 1
3 2 0
0 3 2
2 0 2
10 5
5 0 4
2 5 1
2 1 5
0 1 4
2 2 1
4 5 0
0 0 0
2 0 3
3 2 2
2 3 5
10 8
2 4 0
0 3 1
2 2 0
3 2 0
1 2 0
0 0 1
3 3 0
4 0 1
2 4 4
3 4 3
10 5
0 3 3
4 4 0
4 1 0
0 1 0
4 1 4
3 4 1
3 0 0
3 1 3
1 2 3
2 0 1
10 9
1 1 0
2 0 2
1 2 1
0 1 1
0 0 2
1 2 0
2 1 2
1 2 2
2 0 0
2 2 2
10 7
0 1 1
4 4 1
2 1 3
2 0 2
0 3 0
4 1 4
2 3 4
3 3 1
1 1 3
1 3 0
10 3
1 3 2
1 0 0
0 0 2
2 0 3
3 1 3
2 1 2
1 2 3
1 2 1
0 2 0
2 1 0
10 4
3 0 0
5 2 4
0 5 4
5 2 5
3 2 2
4 2 1
1 0 0
3 2 4
1 4 1
1 5 5
10 5
0 2 1
1 0 1
2 3 2
4 0 3
2 2 1
2 0 0
2 1 2
1 3 4
4 0 0
1 2 0
10 7
3 5 4
1 5 0
3 1 1
2 3 4
3 3 4
0 1 2
0 0 5
1 5 3
0 0 3
0 3 0
10 8
0 4 2
1 4 1
2 2 4
4 4 0
4 4 4
0 3 2
4 4 1
0 2 1
0 1 0
1 2 2
10 5
2 0 2
1 0 0
1 0 2
0 1 0
0 0 0
2 0 1
2 2 0
1 0 1
2 2 2
0 1 1
10 7
3 4 2
3 1 3
0 2 1
2 1 2
0 2 4
0 0 3
0 4 4
2 3 1
1 1 4
4 1 3
10 6
0 4 4
1 4 0
3 0 2
4 3 1
3 3 0
3 2 0
2 2 2
3 2 4
2 2 0
2 4 1
10 8
4 4 0
3 0 2
0 4 1
4 3 3
3 0 3
2 2 4
2 2 1
4 0 2
4 3 1
1 2 0
10 7
1 2 2
1 0 2
0 0 0
2 0 0
2 1 2
0 1 1
0 0 1
2 1 0
0 2 0
2 2 0
10 5
4 4 4
2 0 3
2 3 0
3 3 4
1 3 4
0 0 4
2 4 0
4 4 2
4 3 4
2 2 3
10 9
2 1 1
4 0 4
4 0 3
1 4 4
4 3 1
1 0 3
2 3 3
4 3 3
4 2 0
2 3 2
10 7
0 2 5
5 0 3
2 2 3
3 5 2
0 3 0
2 0 3
3 3 0
0 1 3
4 3 1
5 1 0
10 7
2 1 0
3 2 0
3 3 2
1 1 1
0 3 2
1 3 2
0 0 3
3 0 1
1 0 3
2 3 0
10 7
0 2 2
1 0 1
5 5 1
0 5 3
4 2 1
5 5 5
1 1 5
4 4 0
1 2 5
0 1 5
10 8
0 1 1
4 5 0
2 3 1
0 2 0
3 0 4
1 1 3
2 4 4
4 1 3
5 1 4
0 0 1
10 6
3 0 1
1 0 0
3 1 0
1 0 2
3 0 0
0 0 3
1 2 3
0 3 1
2 2 2
0 2 2
10 7
1 2 0
1 3 1
3 3 2
0 2 3
0 0 1
3 1 3
0 2 0
3 1 0
3 2 3
2 0 0
10 5
3 2 4
3 5 5
0 5 2
4 2 2
5 2 4
1 1 5
3 2 2
5 2 1
2 4 0
1 4 1
10 3
2 3 3
3 3 3
4 3 1
3 4 1
0 1 2
4 2 4
0 1 3
1 2 1
2 1 1
3 4 2
10 9
1 3 2
1 3 1
1 0 0
4 2 1
0 2 1
0 1 1
1 0 2
4 1 3
2 1 0
4 3 2
10 8
1 0 0
0 1 0
0 0 0
3 2 2
0 3 3
2 4 4
3 1 0
1 4 3
4 2 3
3 2 1
10 3
1 3 0
0 0 1
2 0 0
3 1 2
2 1 1
2 2 2
3 1 1
2 0 3
0 1 1
1 3 3
10 2
2 2 2
5 4 5
3 5 2
4 5 0
1 0 5
0 5 0
4 5 2
4 3 5
2 4 1
1 3 3
10 7
1 2 0
1 2 1
0 1 2
2 0 1
2 2 1
0 1 1
2 2 2
0 0 1
0 0 2
1 0 1
10 3
0 1 0
1 0 2
1 1 0
0 0 0
2 0 1
0 2 1
2 0 0
1 2 1
0 2 2
2 0 2
10 8
0 1 1
2 0 2
1 0 1
0 1 0
1 0 0
2 0 1
2 1 1
1 1 0
0 2 0
2 1 2
10 9
2 0 2
2 1 3
1 3 1
3 0 0
1 3 0
3 3 1
0 3 2
0 2 1
3 3 2
0 3 0
10 7
2 3 1
1 1 3
2 1 0
3 2 2
0 2 2
2 2 0
2 2 1
3 1 3
0 2 1
1 2 1
10 2
3 2 3
0 4 2
2 1 4
0 3 2
0 3 3
1 3 1
2 4 3
4 2 3
4 4 4
3 4 4
10 9
0 4 1
3 0 2
0 3 1
0 4 2
3 1 2
0 3 4
4 1 3
4 0 0
4 3 3
0 1 1
10 5
0 5 0
5 0 5
3 5 1
2 0 3
5 1 5
1 5 3
0 0 2
0 1 0
1 0 3
4 0 3
10 5
0 4 0
3 3 2
4 2 4
0 0 0
3 3 4
4 4 3
2 1 4
4 2 3
2 0 2
3 4 1
10 5
3 0 1
3 0 0
2 2 1
2 2 0
2 3 0
3 2 0
3 2 1
1 2 1
2 3 2
2 0 3
10 2
1 1 0
1 4 1
2 3 0
1 2 4
3 4 0
4 1 3
0 3 2
2 2 4
1 4 0
4 4 1
10 4
1 4 2
0 1 2
3 1 2
0 3 4
2 3 1
1 3 1
3 3 0
4 2 0
2 0 3
2 1 1
10 9
0 4 1
4 2 5
3 3 3
5 4 1
1 0 4
2 3 5
5 1 1
0 0 2
5 2 1
5 3 0
10 9
0 4 4
3 0 5
0 4 1
3 3 4
5 4 1
3 0 1
3 0 0
1 4 0
1 2 5
5 5 1
10 4
1 3 0
2 2 2
1 0 0
1 0 1
1 1 0
0 0 1
2 3 2
3 0 3
0 1 0
3 0 1
10 6
3 2 4
0 3 3
0 2 2
2 3 4
3 2 0
4 1 0
1 3 1
0 4 4
2 4 3
0 4 3
10 9
3 3 1
2 1 1
2 3 3
3 0 0
3 1 2
2 2 1
0 0 0
3 1 3
2 3 0
2 1 3
10 4
1 3 2
3 0 2
3 4 3
5 5 2
3 1 2
5 0 3
4 0 0
2 5 5
2 2 3
3 5 0
10 8
3 2 3
4 5 1
2 4 1
2 2 3
3 5 4
4 5 5
0 0 5
1 3 4
4 0 2
1 4 3
10 7
0 1 1
2 0 2
1 0 1
1 1 1
2 1 2
2 1 1
2 1 0
2 2 2
0 0 1
2 0 1
10 2
1 3 0
2 2 3
0 2 1
3 3 0
3 3 2
1 3 3
0 3 0
0 1 1
1 0 2
3 1 1
10 8
0 4 3
0 0 5
0 0 3
3 1 1
2 1 3
0 2 4
5 0 0
3 5 5
2 4 0
5 4 5
10 9
1 4 3
0 4 4
0 2 2
1 2 2
0 4 3
4 3 3
4 1 0
1 4 2
3 0 2
1 0 1
10 6
5 2 1
0 5 5
3 3 2
2 0 3
0 3 1
0 0 1
3 2 1
2 4 0
1 4 3
2 4 1
10 3
1 0 4
2 1 4
3 1 1
2 0 2
1 3 0
0 4 4
4 2 2
2 2 0
4 1 1
2 1 2
10 2
2 1 2
0 0 1
2 0 2
1 0 1
1 1 0
1 0 2
1 2 2
2 0 0
2 1 0
2 2 2
10 4
4 5 2
5 1 0
4 4 4
4 2 1
3 2 4
2 3 3
1 1 3
0 4 4
3 5 0
0 5 1
10 7
1 2 2
0 2 2
2 2 1
0 1 2
2 0 1
1 0 2
1 0 0
0 2 0
1 1 0
2 2 2
10 2
3 3 2
3 2 0
3 1 0
3 0 0
2 1 3
3 0 1
3 0 2
3 2 3
0 3 0
2 3 3
10 7
0 2 0
5 5 2
4 3 5
1 4 4
0 2 2
2 1 3
1 2 3
0 5 0
2 4 1
2 2 3
10 7
2 1 2
3 1 0
0 1 1
2 2 3
2 2 1
0 0 1
1 2 2
1 0 0
1 1 2
0 3 0
10 2
3 1 4
4 3 0
0 0 2
2 2 1
1 3 3
2 3 1
3 0 1
1 0 2
0 0 1
2 0 3
10 2
2 1 2
2 2 0
2 2 1
2 0 0
0 2 2
1 1 0
1 2 2
0 2 1
1 1 1
1 0 1
10 9
1 1 2
0 2 0
0 0 1
1 0 0
2 2 2
1 0 2
2 1 0
0 0 2
2 2 1
2 2 0
10 9
2 0 3
3 3 2
2 1 1
3 1 1
1 3 0
0 3 0
0 3 1
0 0 0
2 0 0
2 3 3
10 7
2 2 3
4 1 2
3 4 1
3 1 2
0 0 0
0 3 3
1 4 2
1 4 4
1 2 3
3 1 0
10 3
2 0 0
0 1 0
0 0 2
2 1 2
2 2 0
1 0 0
2 0 1
0 1 2
2 0 2
0 2 1
10 7
3 3 0
0 1 1
0 3 1
3 2 1
0 0 2
2 3 3
3 3 1
3 1 3
2 0 3
2 2 3
10 4
2 4 0
2 3 1
2 3 0
3 1 4
3 2 2
4 4 0
2 2 2
3 2 0
0 3 0
4 1 1
10 8
0 2 1
0 2 2
0 1 0
0 2 0
2 1 1
0 0 1
1 2 0
1 2 2
2 2 1
0 1 1
10 9
3 3 3
0 2 1
0 2 3
1 0 2
0 0 2
2 2 3
2 1 2
1 1 0
0 1 0
1 3 2
10 6
2 1 1
1 2 0
2 2 1
1 0 0
1 0 1
2 2 0
0 2 1
2 0 0
0 1 0
1 2 2
10 7
1 5 3
1 4 4
0 0 1
1 1 2
3 5 5
3 4 3
2 3 3
0 2 0
5 1 1
5 3 0
10 5
2 4 1
3 2 2
2 4 3
3 4 0
0 3 2
2 3 2
1 4 2
0 3 3
1 0 3
2 0 3
10 4
2 2 2
1 3 2
1 3 3
1 0 0
3 0 1
3 3 3
0 2 3
3 0 2
3 0 0
2 1 2
10 4
1 3 3
3 2 0
4 3 2
4 4 1
1 3 0
4 2 4
2 3 0
0 1 3
2 2 1
0 0 3
10 4
1 3 0
3 2 3
0 2 3
0 1 3
1 3 3
2 0 3
2 2 0
2 3 2
3 0 2
2 1 3
10 6
2 4 4
4 4 4
4 4 1
5 2 4
0 3 3
3 3 4
1 5 2
1 1 0
0 3 4
0 1 5
10 3
5 0 5
0 4 4
1 5 1
5 5 4
1 2 1
4 0 4
5 4 2
3 1 2
2 0 2
3 0 1
10 7
4 3 3
1 3 1
1 1 3
1 1 0
1 1 1
4 4 3
1 2 2
3 2 4
0 3 0
1 0 1
10 7
3 0 1
0 3 1
1 2 2
1 1 3
1 0 0
1 0 2
4 4 1
2 4 0
1 3 3
2 3 0
10 5
0 4 4
3 0 0
4 4 0
3 1 1
1 1 0
1 0 3
2 2 3
4 2 0
3 4 1
3 2 3
10 5
1 2 0
1 2 4
2 0 3
1 0 3
0 3 0
0 1 3
4 0 2
2 1 0
2 4 4
1 3 0
10 7
1 5 2
3 5 1
1 4 3
0 0 2
2 3 0
0 0 5
3 1 2
3 1 0
5 5 2
1 0 3
10 7
5 0 3
5 2 2
2 5 3
4 4 4
1 4 0
0 4 3
1 3 2
1 1 2
4 3 3
5 5 1
10 2
2 2 0
2 2 1
3 2 3
0 0 2
0 3 3
2 2 3
2 1 2
1 3 3
0 2 3
2 0 2
10 8
3 3 5
4 3 0
0 0 4
0 5 5
2 2 5
5 1 4
2 4 4
3 2 3
0 5 0
2 4 5
10 8
1 1 1
0 2 1
0 0 3
0 1 3
3 1 2
0 2 2
3 1 1
3 3 1
0 3 1
3 2 3
10 8
2 4 1
4 0 4
1 4 3
4 3 4
5 2 2
0 1 5
4 4 2
3 0 0
2 5 3
3 3 3
10 5
1 2 0
4 0 3
4 3 3
4 3 0
2 0 0
3 3 1
3 3 0
0 0 3
4 4 0
1 4 1
10 5
2 3 4
4 4 0
0 3 4
4 2 1
4 3 0
2 4 3
0 3 0
1 0 3
2 0 1
4 3 1
10 6
3 2 4
4 2 0
0 0 1
3 2 3
4 0 1
3 0 0
0 3 1
0 2 4
1 2 0
4 2 1
10 5
2 5 3
5 0 3
1 4 2
5 0 1
1 5 2
0 2 5
0 3 1
4 3 0
2 5 4
4 3 4
10 4
0 4 2
5 4 5
4 4 0
0 0 3
1 3 2
5 2 4
3 1 5
2 4 3
5 5 5
2 4 5
10 5
0 4 4
2 4 4
3 2 0
5 2 3
5 2 2
4 1 3
3 0 0
2 2 0
5 4 4
0 0 0
10 9
0 4 3
2 2 5
3 1 4
1 5 0
2 1 3
5 5 3
5 3 2
1 4 0
5 1 0
3 2 5
10 9
0 0 1
2 0 2
2 2 2
2 1 1
0 0 2
0 0 0
2 1 2
1 2 0
0 2 2
0 1 0
10 8
5 2 3
1 5 1
3 5 4
3 4 5
0 0 4
5 4 2
2 1 2
0 5 0
2 0 0
2 5 2
10 2
0 4 2
4 0 3
2 4 4
2 2 3
4 3 0
2 3 0
3 2 1
2 0 1
3 4 1
4 2 1
10 6
2 2 0
2 2 3
1 2 2
3 0 2
0 2 1
3 1 0
2 3 2
2 0 3
0 2 0
3 3 1
10 9
1 5 1
4 0 4
3 0 3
4 2 1
3 1 2
5 0 1
4 3 1
3 4 0
2 0 2
4 0 5
10 2
3 2 1
2 0 1
1 3 0
4 4 2
1 2 2
0 1 4
0 4 2
4 0 4
1 1 2
3 4 0
10 7
4 0 5
5 3 4
2 5 2
0 0 1
0 5 4
1 2 3
0 0 0
3 1 4
1 5 2
1 4 0
10 8
4 1 4
0 4 2
3 3 4
0 0 4
0 2 1
3 2 2
3 3 1
2 1 0
3 3 3
0 1 0
10 8
5 4 2
2 2 0
0 1 0
5 4 3
5 3 0
2 3 3
1 1 2
5 5 2
0 3 4
2 5 5
10 9
0 2 0
1 2 2
0 1 1
1 0 2
2 2 0
0 1 2
1 0 0
1 2 1
1 1 0
2 0 0
10 4
1 1 1
1 1 2
1 0 1
1 2 1
0 2 1
1 0 2
1 2 0
0 0 0
0 0 2
2 1 2
10 9
1 3 3
1 1 2
0 2 2
0 2 1
3 2 1
0 4 1
4 2 3
4 4 1
4 0 2
3 0 3
10 5
0 5 3
3 5 0
0 1 2
0 2 2
4 3 5
5 0 1
5 1 3
5 3 4
2 1 0
3 1 4
10 8
1 2 0
0 2 2
2 1 2
1 1 0
1 0 2
0 1 2
1 0 0
2 1 1
0 0 2
2 0 2
10 8
2 2 3
1 1 4
1 2 0
3 4 3
3 0 1
3 2 0
3 2 2
0 2 3
3 1 1
0 1 0
10 5
0 0 1
0 3 1
4 2 3
3 0 2
0 1 2
0 3 0
0 4 2
3 2 3
3 3 0
0 0 0
10 3
0 0 2
2 0 0
2 2 3
1 1 0
1 1 3
2 2 2
3 2 3
2 3 1
0 0 0
0 3 2
10 2
1 2 0
1 1 2
3 1 1
1 3 3
0 3 1
0 0 0
2 3 2
3 3 1
3 2 2
1 0 1
10 6
1 3 2
5 0 1
5 0 4
1 5 2
1 4 4
2 1 2
0 4 2
2 5 4
0 5 5
3 3 0
10 7
1 1 1
1 2 1
1 0 1
1 2 0
0 1 0
2 0 2
0 0 2
2 1 0
1 1 0
1 0 0
10 6
1 2 2
0 1 1
1 0 0
2 1 2
2 1 1
0 2 1
0 1 2
2 1 0
0 0 0
0 2 2
10 5
0 1 0
2 2 3
2 1 0
3 1 3
0 4 4
3 4 4
4 1 3
4 2 4
3 3 0
1 0 2
10 8
2 0 2
0 0 2
0 4 1
0 4 4
1 1 3
1 3 0
3 1 2
1 0 1
4 2 2
3 1 1
10 2
0 4 4
5 0 1
2 1 0
4 3 3
3 3 3
0 2 3
0 5 4
2 3 4
0 3 2
3 1 5
10 8
0 3 1
2 3 3
2 0 3
2 1 0
0 3 3
3 0 2
2 1 2
2 1 1
2 2 2
3 2 0
10 7
1 2 0
0 1 1
2 2 1
0 2 0
0 0 2
0 2 2
0 0 1
2 1 0
0 1 2
0 1 0
10 8
2 1 0
1 2 0
1 1 0
1 2 2
1 0 1
1 2 1
2 0 2
2 2 1
1 0 0
0 2 0
10 8
0 0 2
3 3 1
3 2 2
3 1 0
1 3 1
1 1 4
4 2 4
3 4 4
1 2 1
1 3 2
10 2
0 2 1
2 0 2
0 1 0
1 0 2
0 2 2
0 0 2
1 2 0
1 1 0
2 1 0
2 0 0
10 7
3 3 5
0 4 1
3 1 4
0 4 0
5 1 2
1 3 0
5 4 0
0 4 4
4 0 0
1 2 3
10 8
2 3 3
1 1 1
4 0 2
1 2 1
2 1 0
1 0 4
3 0 3
0 2 4
2 4 3
1 0 2
10 6
0 2 2
1 0 2
0 0 2
1 0 0
1 0 1
2 1 1
1 1 2
2 2 0
2 1 2
1 1 0
10 5
1 3 1
3 0 1
0 1 3
0 0 1
3 3 2
2 0 2
0 1 2
0 3 3
1 2 1
2 1 3
10 8
2 4 4
3 4 0
2 3 1
4 3 1
3 0 3
2 1 4
1 1 3
4 1 4
1 3 2
2 3 4
10 9
1 2 2
3 3 1
2 2 1
4 2 0
2 4 3
0 1 1
2 3 0
0 4 2
2 3 1
0 2 1
10 8
0 0 2
1 0 0
1 0 1
1 1 1
2 0 1
1 1 2
0 2 1
2 2 2
1 2 0
2 0 0
10 3
3 0 1
4 1 3
3 2 3
3 0 2
4 2 3
0 3 0
0 4 2
0 1 0
0 3 4
4 3 4
10 2
1 4 3
3 2 1
3 2 3
4 0 4
4 0 2
4 1 3
0 3 1
0 0 2
2 1 3
4 0 3
10 3
5 3 1
5 5 5
2 5 1
0 4 5
2 2 2
4 4 3
5 4 4
5 4 1
1 1 0
4 3 2
10 3
1 2 5
0 4 5
0 2 5
4 2 1
3 1 0
5 2 1
1 5 1
3 3 3
3 5 5
4 5 4
10 8
0 0 1
0 0 0
0 0 2
1 1 1
1 2 0
2 0 2
1 1 0
0 1 2
2 1 1
0 2 2
10 7
0 2 0
0 2 1
4 0 2
3 3 1
2 0 4
1 0 2
2 0 2
0 1 1
2 2 0
1 2 2
10 8
2 0 2
1 0 1
2 1 0
1 2 2
2 1 2
1 1 0
1 0 0
1 2 1
2 0 1
2 1 1
10 4
2 2 2
3 0 3
2 0 1
3 2 2
1 2 0
2 0 0
1 1 3
0 1 3
2 1 0
0 0 0
10 2
1 0 1
0 0 1
0 0 2
2 0 1
0 1 1
1 0 0
1 1 1
2 2 2
0 2 1
2 1 1
10 3
3 0 1
0 3 1
3 0 0
2 2 0
2 4 1
0 3 2
1 0 1
0 2 4
0 1 2
3 3 0
10 7
3 2 1
1 3 1
2 0 2
0 0 3
2 3 2
1 1 0
3 2 3
3 0 3
3 0 0
0 2 3
10 4
2 2 3
3 3 3
1 1 2
3 0 1
2 3 0
2 3 1
1 3 2
1 2 2
0 1 2
0 3 1
10 5
0 2 5
5 2 3
4 2 1
3 3 0
0 0 1
0 5 3
0 5 2
4 3 2
1 0 5
2 2 4
10 7
4 0 1
4 4 1
2 1 4
3 0 4
0 3 3
1 0 3
4 2 3
4 3 4
0 0 4
2 3 2
10 4
4 2 1
0 0 0
2 3 1
2 1 0
3 3 2
4 0 4
0 0 4
4 1 4
0 3 1
0 3 0
10 4
1 0 0
1 0 2
2 0 0
0 0 1
2 2 0
0 1 2
0 0 0
0 1 0
1 1 2
1 2 0
10 3
1 2 2
4 1 4
0 0 0
0 0 1
1 3 3
4 3 0
3 0 2
0 4 3
4 3 4
1 4 4
10 5
0 1 2
2 2 2
1 0 1
0 1 1
2 1 0
2 2 0
1 1 0
0 2 0
2 0 0
2 0 1
10 5
4 0 4
5 1 1
2 0 4
3 2 5
0 0 3
2 5 5
4 0 3
4 5 4
1 3 5
4 4 0
10 2
3 4 4
0 4 3
3 2 4
4 1 5
3 4 3
4 4 2
1 0 4
4 0 0
1 1 0
3 1 5
10 3
2 3 1
0 1 2
3 3 3
3 2 3
3 2 2
3 0 2
3 3 1
0 2 3
1 0 2
0 3 3
10 2
0 0 2
1 0 2
2 2 2
0 0 0
2 0 2
2 1 1
0 2 2
2 1 2
1 0 1
1 2 1
10 4
4 1 1
2 4 4
2 1 0
0 3 3
1 1 3
0 2 2
4 0 4
3 2 4
0 4 3
2 0 2
10 4
0 5 4
3 1 4
1 3 2
1 0 5
3 2 2
2 2 2
4 3 2
3 4 1
5 5 5
1 0 0
10 9
2 0 1
0 0 1
1 1 2
1 2 0
2 1 1
0 1 1
2 2 2
1 0 1
1 2 2
1 1 1
10 4
3 1 3
0 0 2
0 2 1
1 3 2
3 2 1
0 1 0
0 3 2
0 1 3
1 0 3
0 0 1
10 5
0 4 3
4 3 4
2 2 3
4 2 5
2 1 0
2 2 1
1 1 4
0 3 0
4 2 3
0 2 1
10 2
2 1 0
1 2 2
0 2 1
1 2 1
2 0 2
2 2 1
2 0 1
1 1 0
2 1 2
1 1 1
10 3
2 1 1
0 2 0
1 2 1
0 2 2
1 0 0
2 2 1
2 2 2
1 1 0
2 1 2
0 1 0
10 4
2 3 1
1 0 0
1 1 0
3 0 3
0 3 1
0 0 1
0 2 3
0 3 0
1 3 0
3 3 0
10 6
2 0 0
1 2 0
1 2 2
0 2 2
0 2 1
2 2 2
1 0 0
0 0 0
1 0 1
2 2 1
10 3
2 3 0
2 4 4
2 1 4
2 3 3
1 4 3
3 3 3
4 3 2
2 4 1
1 4 1
0 0 1
10 9
2 0 1
0 2 2
2 1 2
2 2 1
0 0 1
1 2 2
1 0 0
2 2 2
1 0 1
1 1 0
10 7
1 2 0
2 3 1
0 1 3
4 3 4
2 1 0
3 3 2
0 3 2
3 1 1
2 2 0
2 4 4
10 5
1 3 3
0 0 4
4 4 0
2 1 1
0 3 3
3 4 0
2 0 3
1 2 1
3 3 4
2 2 4
10 7
1 1 0
2 0 2
3 3 5
0 0 3
0 1 2
0 5 4
4 4 0
0 1 1
1 5 2
5 1 4
10 5
4 3 0
1 2 4
5 5 4
3 0 1
1 3 0
2 0 5
1 2 3
0 1 0
0 3 1
1 3 3
10 9
1 4 4
0 5 0
5 2 1
2 4 1
0 4 4
1 0 5
3 5 5
2 1 5
0 3 5
0 4 1
10 8
2 1 2
1 0 2
0 1 2
0 0 1
2 2 0
0 2 0
2 0 1
2 2 1
2 0 0
0 0 0
10 9
0 0 0
0 2 2
2 0 3
0 2 1
1 3 3
1 2 1
2 3 0
1 2 3
0 3 1
0 2 0
10 9
1 2 2
0 0 0
2 2 1
0 0 1
2 2 2
1 1 1
1 0 2
1 1 2
1 0 0
0 2 0
10 7
0 0 0
2 1 1
0 2 2
2 0 2
0 1 1
1 0 1
2 2 2
1 1 1
2 0 1
0 2 0
10 5
3 1 0
0 3 3
5 4 1
5 2 2
3 4 3
0 4 2
2 4 1
2 5 1
0 1 2
4 1 0
10 8
0 1 2
2 0 0
1 0 2
2 2 2
1 1 0
0 0 0
1 0 1
0 1 1
2 1 2
2 1 1
10 4
2 2 1
0 2 0
2 1 0
1 0 2
1 2 1
2 0 0
2 1 2
1 1 2
1 0 0
2 0 1
10 4
4 1 4
0 0 2
1 1 4
1 3 4
2 1 4
0 4 4
3 0 4
2 4 3
2 0 4
4 1 0
10 3
4 1 0
0 3 2
3 4 4
2 4 1
2 2 0
0 4 4
4 3 1
0 0 3
0 0 2
0 2 3
10 8
3 1 2
2 1 0
0 1 0
2 4 4
1 0 2
4 4 0
3 0 3
2 1 3
4 3 3
4 4 4
10 4
0 0 1
1 2 2
0 0 0
0 1 0
0 2 1
2 0 0
2 1 1
0 0 2
1 1 0
2 0 2
10 8
0 2 2
2 3 3
3 3 0
0 2 3
3 2 2
1 3 4
1 0 0
2 0 0
4 3 1
4 0 0
10 5
0 1 3
5 1 5
1 1 0
3 2 3
0 3 2
2 5 2
2 4 5
3 4 2
5 2 2
5 2 4
10 6
0 0 2
1 0 1
1 1 0
0 2 1
1 2 1
2 2 1
0 2 0
2 1 1
1 1 1
2 1 2
10 9
3 0 2
0 4 4
4 1 4
4 3 1
0 2 4
0 0 1
0 4 1
1 4 1
3 2 4
0 1 1
10 3
3 1 0
2 0 3
2 1 2
0 2 0
2 1 0
0 1 3
1 1 0
0 0 1
3 3 3
2 1 3
10 3
0 0 2
1 1 1
1 3 0
1 2 0
0 3 0
2 2 3
2 3 0
1 2 3
0 3 2
0 0 3
10 6
2 0 2
2 2 2
0 1 2
1 1 1
2 0 0
1 0 2
0 0 1
0 2 2
2 1 0
1 1 0
10 6
2 1 3
2 5 5
3 3 2
0 2 0
0 0 0
1 4 0
4 1 2
0 3 4
2 4 0
3 4 2
10 9
1 2 0
0 0 2
1 0 1
0 3 0
1 1 1
0 2 0
2 1 3
0 1 2
1 2 2
0 0 3
10 3
4 1 0
3 0 4
4 1 5
5 2 0
4 3 0
2 2 3
3 0 3
3 5 3
5 3 4
4 0 0
10 7
1 0 3
4 3 0
4 5 4
1 3 3
1 5 3
3 2 4
5 0 3
1 5 1
2 1 3
5 5 0
10 8
1 2 2
0 0 2
0 2 0
1 1 0
0 2 2
0 2 1
1 0 1
1 0 0
0 0 0
2 0 0
10 7
3 2 3
2 1 1
0 3 0
1 0 1
2 2 3
1 3 2
1 2 2
0 2 3
2 2 0
2 0 2
10 6
3 4 1
0 3 1
0 4 0
4 2 0
2 0 1
0 1 3
0 0 3
0 1 2
4 2 3
1 4 2
10 5
4 3 0
3 5 4
0 1 4
5 4 4
2 0 1
5 3 4
2 0 2
5 5 2
3 0 4
3 0 5
10 8
0 1 1
1 0 1
1 0 0
1 2 0
2 0 1
0 2 0
0 2 2
2 1 1
0 0 2
1 2 1
10 9
2 2 1
2 0 0
3 0 1
1 2 2
1 3 0
3 3 3
1 2 0
3 0 3
2 0 3
1 1 3
10 9
1 0 1
2 2 1
2 1 0
0 0 0
1 1 1
2 0 0
2 0 2
2 2 0
1 2 1
0 2 2
10 8
2 0 0
3 3 3
4 2 3
3 4 4
1 4 1
0 4 0
4 4 4
2 3 4
0 0 2
3 2 0
10 4
4 1 3
3 1 1
0 4 0
0 1 4
3 2 2
2 3 1
1 2 3
3 4 2
4 0 1
1 3 4
10 8
0 2 0
1 0 0
2 0 1
2 1 2
0 2 1
1 2 2
1 2 0
1 0 2
0 0 1
2 0 0
10 3
1 2 1
0 0 2
0 0 1
0 1 0
1 2 0
1 2 2
0 2 0
1 0 1
1 1 2
1 0 0
10 8
1 1 2
3 3 3
2 2 3
0 1 2
1 2 0
1 0 1
1 2 1
2 0 2
0 0 3
0 0 0
10 2
0 2 0
3 3 2
3 3 1
2 1 1
2 3 3
3 2 3
0 1 1
3 2 0
3 3 0
1 0 3
10 8
5 2 0
2 4 4
2 4 1
4 4 3
0 2 0
1 3 0
1 3 4
3 5 0
0 0 0
4 2 1
10 5
5 0 3
0 4 0
1 2 4
3 1 5
2 1 0
4 0 3
1 1 0
3 2 3
4 1 5
2 5 2
10 3
4 2 2
0 2 3
2 5 4
3 2 5
0 1 3
1 4 3
0 1 2
0 4 3
3 2 2
1 2 5
10 9
2 4 4
1 3 1
3 1 2
1 3 2
2 3 1
2 2 1
0 0 4
0 0 2
2 1 2
2 1 1
10 8
1 2 1
2 0 0
1 0 1
1 0 2
1 1 0
1 0 0
2 2 1
1 2 0
0 0 2
0 0 1
10 9
2 4 0
4 2 4
2 3 1
0 1 2
0 2 3
4 1 2
2 0 1
1 2 3
2 1 1
1 3 2
10 9
1 2 0
1 1 1
0 1 0
2 2 0
1 0 1
2 0 0
0 1 2
1 1 0
2 1 1
1 0 2
10 5
1 4 4
3 3 1
5 0 1
4 2 1
2 5 0
5 4 2
5 3 1
2 1 3
2 1 2
0 3 0
10 7
1 1 1
0 1 2
0 0 2
2 1 0
0 2 1
0 0 1
2 1 2
1 2 1
2 2 2
0 1 0
10 7
0 4 0
2 0 4
0 3 3
3 2 2
4 2 1
2 3 0
3 1 2
0 2 1
0 3 0
3 2 4
10 3
2 3 4
0 0 0
5 2 5
4 4 4
5 0 1
3 4 2
2 2 5
1 4 1
2 4 3
1 0 2
10 6
0 0 1
1 2 2
2 1 2
0 2 1
2 1 1
2 2 0
0 1 0
0 1 2
1 0 0
1 1 1
10 9
1 1 5
5 0 1
4 5 2
2 0 1
3 4 3
1 4 0
3 3 2
2 1 3
1 5 4
4 0 2
10 9
0 4 2
5 2 4
2 1 1
1 4 4
3 4 0
2 4 3
4 2 0
4 5 3
1 2 4
2 3 0
10 6
2 1 0
2 1 2
0 0 1
2 0 2
2 0 1
1 0 1
0 0 0
1 1 0
0 1 2
2 2 1
10 9
2 3 3
4 5 5
0 5 3
1 5 0
0 1 5
2 1 3
2 5 0
5 2 5
3 5 1
5 1 5
10 5
0 0 2
1 3 0
1 3 3
1 1 3
3 0 3
3 3 1
3 3 0
3 0 0
0 3 3
1 2 2
10 5
0 3 1
3 1 3
0 1 3
0 1 0
0 2 0
3 3 2
3 3 1
2 0 3
1 2 1
3 0 2
10 2
4 4 2
2 2 4
0 4 3
4 3 0
3 3 1
3 1 3
1 0 4
0 4 2
1 1 0
2 1 3
10 9
2 1 0
1 2 0
1 0 1
0 0 0
2 0 2
1 0 0
2 1 1
0 1 2
1 2 2
1 1 2
10 8
1 2 0
1 1 0
3 3 0
1 0 0
0 3 1
1 3 0
0 1 3
2 1 3
2 2 0
3 0 2
10 9
3 1 2
4 3 1
4 0 3
1 2 4
0 5 2
3 5 5
3 1 4
5 3 2
4 1 3
4 5 1
10 3
0 0 2
0 2 2
2 1 0
2 2 1
1 0 0
1 2 2
1 1 2
0 0 1
0 2 0
1 1 1
10 7
5 4 1
2 1 0
3 3 3
2 3 5
4 3 3
4 1 4
0 3 0
4 0 3
1 1 2
2 0 1
10 6
2 1 0
4 1 4
3 2 3
4 4 4
2 0 2
1 3 4
0 1 1
0 4 4
0 1 0
2 2 4
10 9
2 3 2
1 3 2
2 2 2
2 0 1
3 2 1
0 3 3
0 1 3
0 1 0
3 0 0
3 3 3
10 3
0 0 0
4 5 3
3 4 5
4 1 5
0 2 1
5 0 4
5 3 2
1 4 0
3 3 2
0 5 4
10 2
2 0 3
2 2 2
2 3 1
0 2 2
0 2 3
2 0 1
0 0 3
0 3 3
3 2 0
0 1 3
10 2
1 0 1
0 3 2
2 4 2
0 4 0
2 2 1
4 0 2
1 2 3
3 3 4
1 2 4
0 1 0
10 8
2 2 1
0 0 1
2 2 2
0 2 2
2 0 1
0 2 1
0 1 2
0 0 0
1 1 2
2 1 2
10 6
1 2 3
3 3 3
4 4 4
0 0 3
1 1 2
2 0 1
0 4 0
1 4 3
0 3 2
3 0 4
10 6
5 5 2
2 4 5
1 1 4
2 5 1
2 3 5
2 3 3
4 4 4
1 3 2
5 0 4
2 2 2
10 9
4 5 5
3 2 2
0 5 5
0 0 0
0 3 0
5 1 4
1 4 5
5 2 4
3 0 1
1 1 3
10 2
3 1 1
2 4 1
3 5 3
1 1 2
2 2 4
5 2 2
0 1 3
2 0 0
2 0 2
3 4 5
10 8
0 1 4
1 4 3
5 5 4
1 3 5
2 4 4
4 0 1
3 3 2
0 1 2
4 0 2
5 5 5
10 5
0 5 5
5 2 5
2 3 1
2 4 3
1 3 0
3 0 1
1 5 5
2 5 2
2 0 0
0 4 2
10 9
2 2 0
0 0 2
0 2 2
0 1 0
1 2 1
1 0 2
2 0 1
0 2 0
0 1 2
0 1 1
10 4
4 2 0
5 4 3
2 1 3
4 3 4
1 4 5
1 2 0
5 5 3
1 0 5
5 2 5
3 0 5
10 5
3 0 0
1 0 3
1 0 2
0 3 0
3 1 1
2 0 2
0 3 3
2 3 1
2 3 0
1 3 0
10 8
0 2 0
0 5 4
5 4 3
1 1 3
4 5 3
1 1 5
5 4 2
2 2 0
5 4 1
1 3 2
10 8
0 0 2
1 2 1
0 0 1
0 1 1
1 1 0
2 1 0
0 2 1
1 0 2
2 1 2
1 0 0
10 8
0 1 0
1 1 1
1 0 1
1 2 1
1 2 0
1 1 2
1 0 3
3 3 0
1 3 3
3 3 3
10 4
1 0 2
1 1 0
2 0 1
1 2 0
0 0 0
1 0 0
2 1 1
1 2 1
0 1 0
2 2 2
10 3
3 4 3
0 4 4
4 2 1
0 1 4
1 0 3
2 1 0
1 1 0
2 4 0
2 1 1
2 4 1
10 9
2 0 0
2 0 2
2 2 0
1 1 1
1 0 0
2 2 1
0 0 1
1 1 0
2 1 0
0 2 2
10 6
3 0 4
4 2 2
3 1 1
3 0 1
1 4 2
1 3 3
4 4 0
1 2 1
0 4 1
3 1 0
10 5
2 3 0
1 4 1
2 1 0
1 0 3
2 2 4
4 2 2
4 0 2
1 3 2
0 4 3
1 1 2
10 5
4 0 4
0 4 4
4 3 1
2 1 3
0 4 3
0 4 2
3 0 3
0 3 1
3 0 0
1 1 1
10 6
2 2 2
1 1 2
0 2 2
0 0 2
0 1 2
1 0 1
1 0 2
0 1 0
2 2 0
2 0 2
10 8
2 2 1
3 1 1
1 0 2
2 3 1
0 0 0
0 1 3
3 3 0
1 2 0
0 3 0
1 3 2
10 2
4 4 2
0 4 3
1 0 3
3 2 4
4 2 0
1 1 1
0 3 3
0 0 0
3 0 2
1 0 0
10 9
3 3 2
4 2 5
4 4 0
3 4 3
5 4 1
3 3 5
1 4 3
2 4 3
5 4 4
3 5 0
10 9
1 3 2
0 2 1
3 3 2
2 2 0
0 2 2
1 0 1
3 2 1
1 2 1
2 3 3
0 1 3
10 4
2 0 0
2 1 2
1 0 1
1 1 0
0 1 1
0 0 1
1 0 2
1 1 1
0 2 2
2 0 2
10 4
1 1 2
1 1 1
0 0 1
0 2 1
1 2 1
0 0 0
1 1 0
2 1 1
1 2 2
0 2 2
10 4
2 0 0
2 1 1
1 0 0
1 1 1
1 0 2
1 2 2
0 1 1
0 0 0
0 2 0
2 0 2
10 8
2 1 3
2 2 0
3 0 1
1 1 0
1 2 1
2 2 1
3 3 0
3 2 1
1 0 2
0 1 2
10 4
1 0 2
0 2 1
1 0 1
0 2 2
1 2 2
0 1 1
0 1 2
0 0 1
2 0 0
1 0 0
10 3
3 0 1
4 2 2
4 1 1
3 3 0
2 3 3
3 1 4
0 0 1
2 4 1
0 0 3
1 0 3
10 5
2 1 2
2 2 2
3 4 2
2 3 4
1 0 1
1 4 4
2 3 2
0 2 3
0 2 0
1 1 2
10 2
3 3 2
0 0 0
1 3 2
1 3 1
2 3 2
2 1 0
2 0 0
3 0 0
3 0 1
3 3 0
10 6
0 3 1
4 0 4
1 4 1
4 4 1
2 3 2
3 3 4
2 4 0
0 1 0
3 4 0
1 0 1
10 3
2 3 2
3 2 3
1 0 1
2 3 0
0 1 0
3 1 2
0 2 1
0 2 3
0 2 2
2 2 1
10 8
3 4 5
2 3 2
5 4 5
1 2 1
2 1 0
1 1 1
0 2 1
2 3 4
2 5 4
4 2 3
10 3
1 2 0
2 0 2
0 0 1
2 2 1
1 0 2
1 1 0
0 1 1
2 1 0
2 2 2
1 0 0
10 5
5 0 1
2 4 5
4 2 0
3 5 5
3 5 4
0 4 5
1 5 0
5 5 0
1 4 3
5 2 0
10 9
0 3 2
2 4 4
3 1 1
3 2 0
1 3 0
2 4 1
2 3 4
2 1 1
0 2 2
0 4 4
10 5
2 2 0
2 0 1
1 0 2
2 0 2
1 2 1
1 0 0
1 2 2
1 1 0
2 2 2
0 1 2
10 6
1 2 2
2 3 1
4 0 1
3 0 0
5 1 5
4 4 3
3 2 0
3 5 0
0 0 0
2 2 5
10 5
0 0 0
0 2 0
2 2 1
3 3 0
1 0 0
0 3 3
3 3 2
0 1 3
1 3 2
3 2 3
10 8
4 2 2
3 2 2
4 4 4
5 0 0
4 5 3
1 4 3
5 1 3
4 0 1
1 1 2
0 3 5
10 5
4 1 3
4 5 3
1 3 0
5 0 5
3 0 4
5 1 1
2 2 4
4 2 2
0 1 3
2 4 4
10 6
2 4 1
1 3 4
4 5 5
0 4 4
0 1 4
0 2 5
0 5 3
1 1 1
5 2 1
5 5 1
10 9
2 1 0
1 3 2
1 1 1
2 0 3
3 2 1
2 0 1
1 1 3
3 1 2
3 1 1
3 1 0
10 4
1 1 2
4 0 2
0 0 5
4 0 5
4 3 0
1 2 1
1 0 5
5 5 2
1 3 5
0 4 3
10 4
0 0 3
2 0 0
3 1 0
4 0 3
3 4 3
4 3 0
1 3 1
4 0 1
0 3 1
4 1 1
10 8
2 1 4
4 1 5
1 1 0
0 5 5
2 5 1
5 2 5
4 5 3
3 2 2
2 5 5
4 1 0
10 3
1 0 0
0 1 3
0 3 0
3 0 2
3 2 1
2 1 2
3 1 3
3 2 3
0 0 2
2 2 1
10 2
4 2 0
2 1 1
1 2 1
1 0 2
3 0 4
1 3 0
1 1 4
3 3 4
3 0 0
3 0 1
10 2
0 2 0
0 2 2
1 2 2
1 2 0
3 2 3
3 0 0
2 0 2
2 0 0
0 2 1
3 2 2
10 7
3 1 2
2 3 3
0 0 3
1 2 1
2 2 3
0 3 1
0 2 2
1 3 1
3 2 2
3 2 3
10 8
1 1 1
0 2 3
1 1 2
2 1 3
1 0 1
0 3 1
3 0 0
2 2 1
2 3 3
0 2 0
10 5
4 0 1
3 4 4
1 3 1
2 2 0
2 2 3
4 3 2
2 3 2
1 0 0
3 4 1
2 4 3
10 3
4 2 1
1 4 0
2 3 4
1 0 0
2 1 4
1 4 1
2 1 0
2 3 2
3 1 4
4 1 0
10 4
3 3 2
0 2 3
3 0 2
0 1 3
3 3 1
2 2 3
2 0 0
2 3 1
1 1 3
2 0 3
10 3
2 3 3
2 0 3
3 1 2
1 1 3
2 2 2
2 1 3
2 2 1
0 2 3
1 2 2
2 0 0
10 6
0 2 0
0 2 1
0 0 1
0 1 2
0 1 0
2 0 2
0 1 1
0 0 2
2 1 1
1 2 0
10 8
0 2 2
3 2 3
3 0 0
2 1 2
3 0 3
0 2 0
1 1 3
0 3 2
2 0 1
3 3 2
10 2
2 5 3
3 3 4
2 4 3
3 5 3
4 5 1
1 1 2
0 1 5
0 0 1
1 1 0
1 0 5
10 3
3 3 4
3 4 1
3 2 4
0 2 5
0 5 1
2 3 4
3 3 1
3 5 0
3 4 4
1 2 2
10 7
2 2 1
0 1 1
1 2 0
2 2 0
1 2 1
2 1 1
0 0 1
2 1 2
2 0 1
1 0 1
10 7
2 0 0
2 4 2
4 4 1
3 4 2
1 3 1
4 4 2
0 0 2
1 1 1
4 1 1
4 2 0
10 9
3 3 2
0 1 4
1 3 3
0 0 3
1 1 0
4 0 3
3 2 3
4 4 3
2 1 3
4 3 3
10 3
0 5 2
3 5 5
4 5 3
0 3 1
0 3 4
3 2 3
0 5 0
1 2 1
5 4 1
0 3 3
10 8
2 0 1
0 3 0
1 3 1
4 2 1
4 3 4
1 1 3
1 4 2
4 0 4
2 0 4
0 4 2
10 3
0 3 1
4 3 0
2 2 2
4 1 0
1 1 2
2 2 4
0 4 2
0 4 0
4 0 3
3 0 2
10 2
1 3 1
3 3 3
1 3 2
1 1 1
3 1 2
0 1 0
3 0 2
3 1 1
1 0 0
0 1 2
10 8
2 1 4
1 5 5
4 5 4
3 5 5
4 1 4
1 3 1
5 1 1
3 0 2
5 1 4
1 1 4
10 6
0 0 3
1 4 4
0 3 0
1 4 0
4 0 3
1 2 1
3 4 3
0 0 1
1 2 0
3 3 3
10 4
3 0 1
1 2 1
0 3 2
3 3 2
3 0 3
2 0 3
0 1 2
0 2 3
2 1 0
1 3 1
10 6
2 4 4
2 3 3
1 3 5
2 2 4
3 0 4
0 0 2
2 3 5
0 2 1
3 4 4
1 4 2
10 4
3 2 1
4 1 1
1 3 4
5 5 5
5 0 2
5 3 0
5 1 4
4 0 0
5 4 2
0 2 3
10 8
2 2 0
2 2 5
2 1 1
3 3 4
3 3 1
3 0 5
4 3 1
0 1 1
1 3 3
5 5 3
10 5
0 3 4
0 0 3
2 4 1
0 4 3
3 4 2
3 4 1
4 1 1
2 1 4
2 4 2
4 0 2
10 6
1 1 2
1 2 2
2 2 0
0 1 1
1 2 1
0 0 2
0 1 0
0 0 0
0 2 1
2 0 1
10 4
3 0 3
3 4 1
0 4 1
3 3 4
2 1 2
3 0 1
1 3 1
3 4 2
0 2 3
3 1 2
10 9
5 1 5
3 2 3
2 5 0
5 0 2
2 5 2
1 4 0
3 4 5
5 0 1
2 0 3
2 1 2
10 5
4 2 0
3 1 1
2 4 4
3 3 3
2 3 1
3 4 1
2 1 2
4 1 1
2 2 4
4 2 1
10 3
2 3 3
0 3 1
4 2 2
1 0 1
4 3 3
1 4 3
4 4 4
2 1 2
4 1 1
2 3 4
10 7
1 0 1
2 0 1
1 2 0
2 0 0
2 2 1
2 2 0
0 2 2
0 0 1
1 1 2
2 0 2
10 4
2 4 2
4 0 1
2 1 2
1 1 1
4 2 0
3 0 4
0 4 2
2 1 1
0 2 2
1 2 2
10 7
4 1 0
2 0 3
3 2 1
0 4 3
4 3 2
4 2 0
2 4 3
4 1 2
1 3 4
4 2 4
10 7
0 2 0
0 0 2
1 1 2
2 0 2
0 1 1
1 2 1
0 2 1
2 0 0
2 1 0
0 2 2
10 5
4 4 2
2 4 3
0 4 4
3 1 1
1 4 3
0 4 0
1 2 0
0 3 4
1 4 4
3 0 4
10 9
4 0 3
1 0 4
4 2 4
3 0 0
4 2 2
1 3 1
3 0 3
1 4 2
1 0 1
2 4 3
10 2
1 0 3
3 3 2
2 0 3
1 1 0
0 1 2
3 0 0
2 3 3
2 1 1
2 0 1
3 2 2
10 8
1 0 0
2 1 2
0 0 2
2 2 2
0 1 1
0 2 2
1 0 1
2 1 1
2 0 1
1 0 2
10 6
2 1 2
2 3 3
5 4 4
5 0 1
0 0 5
5 1 5
3 0 5
1 0 5
1 2 5
4 4 5
10 5
0 0 5
5 2 4
2 0 0
0 3 3
0 0 1
0 1 3
2 1 3
1 4 1
2 5 2
4 5 2
10 8
0 2 3
1 1 2
3 2 1
3 3 3
0 1 1
3 1 3
1 3 2
2 1 0
1 2 0
1 3 1
10 6
2 1 2
2 2 1
1 2 1
0 1 2
2 2 2
2 0 1
0 0 0
0 2 0
2 0 2
0 1 1
10 2
0 0 2
1 0 1
1 2 0
2 1 2
0 2 1
0 1 0
1 1 1
1 1 2
2 2 2
1 0 0
10 5
1 3 3
2 2 1
4 0 0
1 1 0
3 4 1
4 2 0
3 4 0
3 1 3
4 4 1
2 4 4
10 6
4 1 2
4 2 4
2 1 0
2 4 3
2 0 0
1 0 1
2 0 4
2 3 0
3 2 4
1 3 4
10 5
0 1 1
1 2 2
2 0 0
2 2 2
2 0 2
0 2 1
0 2 0
1 0 1
0 2 2
1 1 2
10 5
0 1 0
2 1 0
1 0 0
2 2 2
2 2 0
0 0 2
2 0 0
2 0 2
1 0 2
1 1 0
10 2
0 3 2
1 1 3
1 3 2
0 2 2
1 0 2
0 2 0
2 3 3
2 1 3
3 2 2
0 0 2
10 4
1 3 2
1 1 1
3 3 1
1 2 3
0 1 3
0 0 0
1 2 1
0 2 1
0 1 0
2 1 0
10 8
0 3 0
0 1 0
3 3 1
2 2 3
3 3 2
1 2 2
0 2 0
3 0 2
3 1 2
1 2 0
10 9
0 2 4
4 4 3
2 0 4
2 0 3
3 2 4
4 1 3
2 2 0
1 3 2
4 0 2
0 0 1
10 5
2 3 3
2 4 4
3 3 3
4 3 2
4 0 1
4 0 2
0 2 0
4 4 1
3 3 1
1 2 3
10 7
0 1 0
3 4 2
3 1 4
2 4 0
4 2 1
4 3 4
3 0 0
2 2 3
1 1 2
4 0 4
10 9
0 1 1
0 2 0
1 1 0
0 0 2
0 2 2
1 2 0
0 1 2
0 0 1
2 2 2
1 2 1
10 8
3 2 2
4 0 2
2 4 3
4 2 2
3 3 2
2 3 2
4 4 0
3 3 3
4 0 4
3 3 4
10 2
4 3 3
5 5 0
2 5 2
3 3 5
3 0 2
5 4 1
2 2 1
0 0 1
0 3 2
0 2 0
10 4
0 1 2
2 1 2
1 3 3
3 0 1
1 3 1
1 2 3
2 3 0
2 3 2
1 2 0
2 1 1
10 7
2 0 1
2 0 0
2 3 3
2 3 1
1 2 1
2 3 0
3 2 2
2 0 3
0 0 3
2 1 0
10 4
2 2 4
4 2 4
3 0 4
3 3 4
4 1 1
1 1 3
4 3 1
1 0 3
2 1 2
0 4 4
10 3
0 0 1
0 1 1
2 0 1
0 2 1
1 0 1
1 2 0
0 1 0
2 1 0
0 0 2
2 0 0
10 5
5 0 0
3 1 2
1 0 3
3 4 0
1 3 0
1 4 5
5 0 1
5 1 5
5 5 3
2 0 4
10 4
1 1 3
1 1 1
1 4 4
2 4 3
2 1 0
3 1 3
3 3 4
4 0 2
4 2 0
0 0 4
10 9
1 1 2
3 2 4
2 4 0
2 2 1
1 4 0
2 3 1
0 0 3
2 4 4
3 2 0
0 1 1
10 4
0 1 1
0 0 2
2 0 0
0 1 0
1 1 1
2 0 1
0 2 2
2 1 2
1 1 0
2 2 1
10 4
0 1 0
1 1 1
2 0 2
0 0 0
2 2 2
2 1 0
1 1 0
2 1 1
2 0 1
0 0 1
10 3
2 0 0
0 1 2
1 2 2
2 2 0
2 0 1
0 0 0
2 1 0
2 2 2
0 2 2
0 0 1
10 8
1 2 2
2 0 0
0 2 1
3 3 0
3 1 2
4 2 1
3 2 3
2 2 2
4 0 4
3 4 3
10 2
2 0 1
2 0 0
0 2 0
1 0 1
1 1 0
2 0 2
0 0 0
0 2 1
2 1 0
1 0 2
10 7
1 4 3
1 1 3
1 3 3
3 2 0
4 2 0
2 4 4
4 2 4
1 0 2
1 0 3
2 3 2
10 6
1 4 4
4 2 0
4 1 0
1 2 1
2 2 1
2 1 3
0 5 4
0 0 2
1 3 0
5 4 3
10 2
1 2 2
0 2 0
0 0 2
2 2 1
0 2 2
2 1 0
2 1 1
2 2 0
2 0 1
0 2 1
10 2
2 2 4
0 0 0
1 2 3
2 5 5
1 3 2
2 5 0
2 3 5
4 1 0
5 4 4
5 5 5
10 6
1 3 3
3 1 1
4 0 2
3 2 0
4 0 3
1 2 0
3 2 2
2 3 2
1 2 1
1 2 3
10 4
1 0 3
1 2 3
3 3 2
0 1 1
2 0 0
3 0 1
1 1 3
3 0 0
0 2 2
3 2 2
10 6
3 0 3
0 3 3
2 1 3
1 1 0
0 3 1
3 0 0
1 0 0
1 2 2
0 2 2
0 2 3
10 9
0 2 2
1 0 0
2 1 3
2 0 0
0 3 2
3 1 3
3 2 3
3 2 2
2 1 0
1 1 3
10 6
1 0 0
0 2 1
1 2 2
1 2 0
0 1 0
1 2 1
2 0 0
2 2 2
2 1 2
1 1 2
10 8
3 2 2
0 3 4
3 4 0
2 1 2
3 1 3
3 0 1
0 3 3
3 2 3
2 0 1
4 3 4
10 4
3 1 0
3 0 3
1 4 1
4 4 0
0 0 4
3 1 1
2 0 3
0 4 1
2 3 4
1 4 3
10 8
0 1 1
3 1 1
4 3 5
1 4 5
3 1 3
4 1 0
1 2 5
4 4 3
4 3 3
3 1 4
10 4
0 2 3
2 3 1
0 1 1
3 3 1
1 0 2
3 3 3
3 0 3
1 2 2
0 1 3
3 1 0
10 2
2 4 2
2 5 2
4 4 1
3 1 0
1 5 0
2 0 4
1 2 1
0 1 2
3 3 5
0 4 0
10 8
0 4 2
2 2 0
1 1 1
2 4 5
5 4 2
4 2 0
3 2 0
5 0 4
4 0 1
0 3 1
10 6
1 1 3
2 0 3
3 1 1
1 1 0
1 0 2
3 3 3
1 0 3
1 2 0
0 3 3
1 0 0
10 8
2 0 1
4 4 3
1 4 2
2 3 2
4 3 2
0 4 1
4 0 3
3 3 1
3 4 2
2 0 2
10 9
1 0 0
2 0 0
1 1 1
1 2 1
0 0 0
1 0 1
1 1 2
1 2 0
1 1 0
0 1 0
10 3
5 1 2
2 1 4
4 4 2
3 0 1
5 3 3
0 2 3
0 2 4
3 2 1
5 0 5
2 2 2
10 4
0 3 0
3 1 3
3 2 1
0 2 0
1 0 1
0 1 3
2 2 1
2 2 2
1 2 3
2 0 1
10 7
3 0 1
1 1 1
0 2 2
3 0 3
3 1 3
0 0 1
1 3 3
0 1 1
3 3 0
1 3 2
10 6
0 2 2
1 1 4
3 1 4
2 1 1
0 2 0
3 0 2
2 4 4
0 0 1
2 3 1
1 3 0
10 4
0 1 2
2 2 0
2 2 1
1 1 2
2 1 0
1 0 0
2 2 2
1 1 0
2 1 2
0 0 0
10 6
1 4 1
1 0 3
2 2 2
1 5 4
3 1 3
1 5 5
0 4 3
3 3 4
0 3 1
3 5 5
10 3
0 4 5
0 3 4
4 3 0
4 5 4
5 4 0
3 1 0
2 0 3
2 5 3
3 5 5
5 3 0
10 5
1 3 1
4 1 3
2 3 3
0 2 2
2 0 0
0 4 4
3 1 4
1 3 2
4 2 4
3 0 2
10 2
2 1 2
0 3 1
0 2 2
2 2 1
0 0 3
3 0 3
2 3 1
4 2 0
0 4 0
1 0 0
10 3
1 3 3
3 3 1
2 1 3
3 2 3
1 0 0
2 0 2
3 1 1
1 3 0
2 1 2
0 1 2
10 4
3 1 1
1 1 1
3 1 0
2 0 3
0 0 2
2 0 2
0 2 3
1 3 2
3 2 0
1 1 2
10 7
2 4 3
2 2 0
2 1 0
1 0 2
1 0 4
4 1 0
0 2 4
4 4 1
4 1 1
4 2 0
10 5
2 3 2
2 1 2
3 3 0
3 1 1
0 3 2
2 3 0
2 0 2
3 0 1
1 2 1
0 0 0
10 6
1 0 4
0 3 2
1 3 1
3 4 4
4 3 2
2 4 0
1 0 1
4 4 1
3 1 4
2 4 3
10 8
0 1 0
2 2 2
1 2 1
0 1 2
1 1 2
2 0 2
1 0 0
1 1 1
0 0 1
1 0 1
10 6
2 3 3
2 0 2
1 2 3
0 1 4
0 4 1
2 1 4
4 1 3
3 3 1
2 1 1
4 2 0
10 4
0 1 1
1 2 0
2 2 1
0 1 0
2 0 0
0 2 0
0 2 2
1 1 0
2 0 2
0 0 0
10 2
3 0 3
0 1 2
1 0 2
1 0 3
3 0 0
0 2 3
0 0 3
0 0 0
0 3 0
1 3 0
10 4
1 0 2
0 0 2
1 3 3
3 2 0
2 2 2
3 3 2
0 0 3
3 1 0
2 2 3
1 0 3
10 6
3 0 2
4 4 0
4 2 0
1 3 3
3 4 2
0 3 0
1 1 4
1 0 3
0 2 2
0 3 4
10 2
0 0 2
3 0 3
1 0 3
0 2 1
2 1 2
1 3 2
1 2 0
0 0 0
3 3 3
2 1 3
10 7
4 3 0
2 4 1
2 3 4
1 0 4
4 4 3
3 2 0
4 3 4
0 2 2
4 0 0
3 0 4
10 9
0 1 2
2 1 1
1 0 0
2 1 0
1 1 0
0 0 2
2 0 2
2 2 0
1 0 1
1 0 2
10 2
2 2 2
1 2 1
1 1 0
2 0 0
1 2 0
2 0 1
2 3 0
2 1 3
3 0 0
3 1 1
10 2
3 0 1
4 1 0
2 2 0
5 4 4
1 3 1
0 1 5
4 3 0
3 0 5
4 1 2
4 3 1
10 5
2 2 1
0 0 2
1 0 0
2 2 2
2 1 1
1 0 2
0 0 0
1 1 0
2 2 0
1 2 1
10 8
2 1 1
0 0 0
0 1 0
1 2 1
0 2 0
1 1 2
1 2 2
2 0 1
1 2 0
2 2 0
10 7
1 5 5
5 0 0
1 2 5
5 2 0
5 0 1
5 3 2
0 2 3
4 5 5
3 2 5
0 0 3
10 6
5 5 5
1 2 1
2 1 3
0 0 3
2 2 5
4 4 2
4 0 5
5 3 3
3 4 4
2 2 2
10 6
2 0 0
2 0 3
3 1 0
0 1 2
3 3 0
3 0 2
3 3 1
2 3 0
1 3 3
0 0 2
10 6
2 2 2
2 0 1
0 0 0
1 2 1
2 2 1
1 1 1
1 0 2
1 2 2
2 1 0
0 0 1
10 9
2 2 1
0 1 2
0 1 0
2 1 0
2 0 1
1 0 0
2 2 0
2 1 1
2 1 2
2 2 2
10 4
4 1 2
3 5 4
5 3 4
2 1 3
5 1 3
1 2 2
5 1 5
3 3 5
1 0 1
5 2 3
10 6
1 2 1
1 2 3
3 2 3
0 2 3
2 3 3
1 0 0
1 1 0
0 1 3
3 2 2
0 3 0
10 8
0 1 2
3 1 0
3 2 3
0 3 2
2 0 1
3 2 2
3 2 1
1 2 2
3 0 3
0 2 3
10 6
5 1 4
3 4 2
4 0 2
5 1 1
0 2 0
3 4 1
0 5 0
2 3 4
4 0 1
0 5 2
10 4
4 1 3
3 4 0
4 4 3
2 1 3
0 3 3
2 2 2
3 4 2
3 3 0
0 4 1
2 0 4
10 9
2 1 1
0 0 1
0 0 0
2 0 2
0 2 2
1 0 1
1 2 0
1 0 2
1 1 0
0 1 2
10 8
2 3 1
1 3 1
2 3 0
2 1 0
3 2 1
1 2 1
0 2 0
0 1 1
3 1 2
1 0 3
10 8
1 3 4
3 4 2
3 2 4
2 4 2
2 3 2
3 0 0
0 1 2
4 4 3
0 1 0
3 2 1
10 5
2 3 3
5 0 5
4 5 2
0 2 0
1 2 3
4 3 1
1 2 5
2 3 5
1 1 0
3 4 1
10 3
3 3 2
2 2 2
3 1 3
2 3 0
1 0 0
2 2 3
3 1 0
0 1 2
3 3 1
2 3 2
10 3
2 4 0
3 3 0
3 1 2
3 4 4
1 0 2
2 1 2
3 4 3
2 0 3
2 2 4
3 3 2
10 8
4 4 1
3 3 4
3 3 5
4 5 1
1 1 0
2 3 0
4 3 0
5 1 2
4 5 2
1 5 0
10 4
4 4 0
1 3 3
0 4 0
2 3 2
0 1 0
1 1 2
3 4 1
3 1 1
0 1 3
2 1 4
10 2
0 2 2
2 1 0
2 1 1
2 1 2
1 1 2
1 2 2
1 1 0
2 0 1
1 0 1
2 0 0
10 8
2 2 0
2 0 1
0 2 0
1 0 2
1 2 2
0 2 1
0 1 1
2 0 2
0 2 2
0 0 2
10 8
1 2 0
2 2 2
3 3 2
0 3 3
0 2 1
2 0 1
1 3 2
3 1 1
2 2 0
0 0 2
10 8
1 1 2
0 1 2
2 1 0
2 0 1
0 0 1
2 0 2
1 0 0
0 2 0
0 0 2
0 2 2
10 4
2 3 0
1 0 2
4 2 4
3 1 4
2 2 3
0 0 3
0 1 2
3 2 1
1 2 4
2 4 2
10 3
2 3 3
1 1 0
1 1 1
2 0 2
2 3 1
1 0 1
1 3 0
3 2 2
2 3 2
3 1 2
10 7
2 1 2
0 0 0
0 1 2
2 1 1
2 0 1
0 1 0
1 1 2
1 2 0
0 2 1
1 2 2
10 6
3 0 0
1 4 2
4 3 0
3 3 0
4 4 2
1 4 4
4 1 3
1 1 2
2 2 4
0 2 1
10 2
2 1 1
1 0 3
3 2 3
1 1 1
2 1 2
2 3 0
3 3 3
1 1 0
1 1 3
0 1 3
10 9
1 0 0
2 0 2
0 2 1
2 1 0
1 2 0
2 0 1
1 2 2
1 1 2
0 1 2
1 2 1
10 3
0 3 2
5 3 1
2 4 3
4 5 4
0 4 3
0 5 0
0 1 2
1 2 0
2 4 1
1 1 1
10 6
1 3 0
1 3 1
3 3 2
1 3 3
3 0 2
0 2 2
2 2 0
3 2 3
3 2 0
1 0 3
10 5
1 2 2
2 0 0
1 2 0
2 1 1
1 0 1
2 2 0
0 2 2
2 0 2
2 1 2
1 2 1
10 4
2 2 2
0 2 1
5 2 1
3 2 5
1 2 2
1 5 3
2 5 5
0 0 4
0 2 4
2 5 0
10 5
3 1 4
5 0 0
4 0 4
2 5 1
3 3 4
2 4 1
4 3 1
1 2 5
2 1 5
5 2 3
10 8
1 0 1
2 0 0
2 1 1
0 2 0
1 1 0
2 2 1
2 1 2
2 2 2
1 2 1
1 2 2
10 8
3 2 1
4 2 3
1 4 2
2 1 1
4 0 1
3 1 1
3 4 1
2 3 3
3 2 3
3 0 0
10 8
3 0 1
1 5 5
0 2 4
1 3 1
5 0 4
3 2 0
0 4 1
5 2 1
2 1 5
5 1 5
10 6
1 0 2
2 2 1
1 2 0
2 1 1
0 1 1
2 0 2
1 0 1
1 1 0
0 0 1
1 2 1
10 3
2 1 1
2 0 1
0 2 0
0 2 1
0 1 2
0 0 0
2 2 0
0 2 2
1 2 2
1 0 0
10 7
1 5 1
4 4 4
4 0 2
4 4 0
0 3 2
3 1 0
2 0 5
1 5 0
0 4 1
2 5 4
10 6
1 2 1
1 0 1
2 1 2
0 0 2
1 1 1
0 1 0
0 0 0
0 1 1
0 2 0
0 0 1
10 7
0 2 0
0 1 4
5 4 3
2 1 3
4 3 3
0 5 3
4 5 4
4 4 2
3 0 2
1 0 4
10 4
0 0 0
1 1 2
0 1 0
2 1 3
3 3 3
2 3 1
2 0 1
0 3 2
0 2 1
3 3 0
10 7
4 3 4
0 0 0
2 2 1
3 2 2
3 1 2
4 2 4
0 2 3
4 1 1
3 1 0
0 2 2
10 7
2 1 2
2 3 2
2 0 1
1 2 3
1 0 0
2 1 1
4 0 4
2 3 4
3 3 2
0 4 3
10 4
1 4 3
0 4 1
0 1 3
5 1 1
2 2 0
2 5 4
2 1 0
5 0 4
5 4 4
2 2 3
10 8
1 1 0
1 2 0
1 2 1
0 0 3
3 1 1
3 2 2
0 0 1
1 3 0
3 2 3
3 1 0
10 4
0 0 1
1 1 2
0 1 1
0 0 2
2 2 0
1 1 0
0 1 2
1 0 2
2 0 1
2 0 2
10 8
3 2 4
3 0 0
0 4 0
0 0 3
4 2 2
0 4 1
3 5 0
2 2 0
1 2 2
0 5 2
10 9
0 0 0
1 2 2
0 2 2
2 0 0
0 1 2
1 0 2
2 1 0
2 1 1
0 1 1
2 0 2
10 9
1 0 3
0 3 1
0 0 3
3 2 3
3 1 3
1 1 1
1 3 2
2 0 1
3 2 0
2 2 0
10 2
0 0 1
2 1 1
2 2 1
1 1 1
0 2 0
0 1 0
1 2 0
1 1 2
1 1 0
1 2 2
10 7
3 1 4
4 0 3
3 2 0
0 4 2
2 3 2
3 0 3
0 4 5
2 4 3
1 0 1
2 2 0
10 8
5 0 1
3 0 5
5 1 2
1 5 1
0 0 1
0 2 3
3 4 5
2 3 4
0 4 3
0 3 4
10 7
2 2 0
3 2 0
2 1 1
1 0 3
0 1 2
0 0 1
0 3 3
3 1 2
1 1 2
3 3 3
10 4
3 0 0
1 3 1
2 2 0
3 3 0
4 2 2
2 2 2
3 3 1
3 2 1
0 1 3
0 1 0
10 9
3 4 0
4 0 0
1 1 3
3 3 3
0 0 0
3 0 2
1 2 3
2 3 2
2 3 0
1 4 1
10 7
0 2 1
1 1 1
3 0 1
0 2 3
3 2 2
0 2 2
3 1 3
0 1 0
3 0 2
0 3 3
10 6
1 3 2
3 0 1
1 2 1
0 2 0
3 0 2
3 1 3
0 2 2
2 1 0
2 0 2
2 0 3
10 2
2 1 2
0 0 1
0 3 0
2 0 2
2 1 0
3 3 3
3 0 2
0 2 3
3 2 3
2 1 3
10 6
2 3 3
3 3 3
2 3 1
3 2 0
0 3 0
1 3 0
0 2 3
2 3 0
0 3 3
2 1 0
10 8
0 4 0
2 0 1
0 4 3
1 1 4
3 1 2
4 0 1
3 1 3
2 1 1
1 4 2
1 2 3
10 3
0 1 2
1 0 1
0 1 0
2 2 2
2 0 2
0 0 2
2 1 3
3 0 1
1 0 3
1 0 0
10 8
2 0 2
2 2 1
1 1 2
0 0 1
1 2 1
0 2 1
2 2 2
2 0 0
1 2 2
0 2 2
10 3
5 2 0
3 2 1
3 4 3
3 3 5
0 1 3
2 3 0
3 2 4
2 1 2
0 5 3
5 1 0
10 9
0 1 2
2 1 1
2 0 0
0 2 0
1 1 0
0 1 0
0 2 1
2 2 2
1 2 0
1 1 1
10 8
2 0 1
3 0 1
3 1 0
1 2 3
1 0 3
2 1 1
2 1 2
1 2 1
3 3 1
3 2 0
10 4
0 2 1
0 1 0
0 2 2
2 0 0
1 2 2
1 1 2
2 2 2
1 1 0
0 0 0
1 0 1
10 3
4 2 1
1 3 2
0 2 2
2 4 0
0 4 2
4 4 4
2 2 0
3 1 1
2 0 0
4 4 1
10 2
0 1 2
1 2 1
2 0 1
2 1 0
1 0 1
0 2 1
1 1 1
0 1 0
1 0 0
2 2 1
10 4
1 2 2
2 3 1
0 1 1
1 3 1
2 2 1
3 1 3
2 2 3
2 2 0
0 2 0
3 3 3
10 5
0 1 1
0 0 0
0 0 1
0 0 2
1 1 2
1 0 0
0 2 0
2 0 1
2 2 1
1 2 0
10 4
1 1 1
3 1 0
2 1 0
4 3 0
3 0 0
4 0 0
3 4 2
1 1 3
0 4 3
2 2 4
10 9
3 0 0
2 0 0
3 1 1
3 3 1
1 1 0
0 0 1
1 0 2
1 2 1
1 0 1
1 1 2
10 3
0 1 2
1 2 2
3 0 1
3 5 5
4 5 3
0 0 5
0 5 1
1 4 1
5 2 2
5 0 5
10 2
2 4 4
0 3 3
3 4 1
4 4 2
4 1 0
2 2 1
2 4 2
3 2 3
4 3 2
1 0 2
10 9
0 1 2
3 2 3
0 2 1
3 1 0
2 2 3
2 1 0
2 0 0
0 0 0
1 0 0
0 2 3
10 7
3 3 2
1 3 0
0 1 0
3 1 1
0 0 2
2 3 2
1 0 2
3 2 0
0 0 1
2 3 0
10 2
3 3 2
1 1 4
3 2 2
2 0 0
1 0 1
2 2 3
3 3 4
4 3 3
4 1 2
4 4 2
10 5
3 3 1
0 1 0
2 0 0
2 2 2
2 3 3
0 1 2
3 0 3
0 1 1
1 1 2
0 3 1
10 8
1 2 1
2 0 2
1 0 2
2 0 0
1 1 2
0 2 2
2 1 0
1 2 0
1 1 0
0 1 2
10 9
0 3 5
3 5 2
5 1 3
2 2 5
3 3 2
5 1 0
3 4 0
4 4 0
2 3 3
1 2 1
10 5
1 0 3
0 1 3
3 2 3
2 1 3
2 2 0
3 3 3
2 0 0
3 3 0
2 3 3
0 3 1
10 4
2 4 3
4 4 3
2 1 4
0 1 2
4 1 1
3 3 4
4 4 4
1 3 4
1 2 1
3 1 0
10 6
2 0 0
1 2 2
2 1 0
0 1 0
1 0 0
1 1 0
2 1 2
2 0 1
1 1 1
0 0 2
10 8
0 2 3
2 3 0
1 3 0
2 3 2
0 0 0
1 0 2
0 0 1
2 2 1
3 3 0
2 1 0
10 3
3 3 1
0 3 4
1 0 2
4 2 0
0 4 2
3 3 4
2 1 2
0 2 4
0 3 1
2 3 1
10 6
0 2 1
2 0 2
1 2 1
1 2 2
1 0 2
2 1 1
1 1 1
2 0 1
0 0 1
0 0 2
10 8
1 2 4
0 1 2
5 5 3
4 0 4
4 0 0
3 0 2
5 1 4
4 4 2
1 0 3
3 5 5
10 3
2 2 4
1 0 0
0 0 1
2 0 1
3 4 4
1 0 3
0 4 4
0 2 4
2 4 2
0 2 0
10 5
4 3 1
1 4 1
1 0 2
0 0 0
3 0 1
0 0 4
4 3 4
4 2 0
4 2 1
4 4 1
10 5
2 0 1
1 1 0
0 2 2
0 0 1
0 2 0
2 1 0
0 0 0
2 2 1
1 0 0
0 1 1
10 8
3 2 2
2 1 0
3 0 1
0 3 4
4 4 2
2 1 4
4 2 4
0 4 2
4 2 3
1 4 4
10 2
1 2 2
1 2 0
2 2 0
2 2 2
2 1 0
0 2 2
2 1 1
2 0 2
0 2 1
1 0 2
10 5
2 0 1
3 2 3
1 2 2
0 1 1
3 1 4
1 0 3
2 1 4
0 4 1
1 3 3
1 4 4
10 4
2 4 4
1 0 3
0 1 4
4 1 3
0 0 4
3 4 0
0 3 0
1 4 2
1 1 3
4 4 3
10 3
5 3 0
3 4 3
0 1 1
3 2 1
2 5 0
2 2 0
4 3 3
4 3 0
0 3 0
4 0 4
10 9
4 5 2
5 3 4
2 0 3
0 4 3
1 4 5
4 0 2
4 2 0
4 4 1
5 0 2
4 4 4
10 5
4 3 0
4 1 0
3 2 0
2 1 4
4 3 2
1 2 2
4 2 2
3 3 1
2 1 1
1 4 4
10 8
0 1 2
0 0 2
3 2 3
1 0 0
2 3 1
3 3 3
3 2 2
3 3 1
2 2 2
1 0 2
10 8
2 1 4
2 4 1
2 2 4
3 4 3
4 0 0
4 1 4
1 0 0
4 1 0
3 3 2
4 2 3
10 2
0 3 4
2 4 3
0 3 5
4 4 2
5 0 4
2 0 1
3 5 2
3 0 1
4 1 2
5 5 4
10 3
2 1 1
0 2 0
2 2 0
1 1 1
2 3 0
0 1 3
1 1 0
0 1 1
3 2 2
1 3 3
10 3
2 3 4
2 2 3
1 2 3
1 0 1
4 3 4
1 2 0
2 0 3
3 4 1
1 0 0
4 1 2
10 8
0 2 0
0 1 0
1 0 0
2 0 2
1 0 2
1 0 1
0 2 2
1 2 2
0 0 1
0 2 1
10 8
1 3 3
3 5 2
1 2 3
1 1 4
4 0 4
4 2 5
2 3 2
2 2 2
4 5 2
0 3 5
10 6
3 3 1
1 2 1
2 0 3
2 0 1
2 2 0
3 1 3
1 1 2
3 0 3
1 1 1
2 3 2
10 2
0 2 1
0 1 0
5 0 0
1 4 3
0 4 3
1 2 5
4 5 1
2 5 5
4 4 0
1 4 5
10 3
1 1 4
0 0 0
2 0 0
0 1 1
4 4 3
4 1 3
4 3 1
0 3 2
2 1 2
1 3 1
10 4
0 1 0
1 1 0
1 0 2
0 2 0
2 1 0
2 1 2
2 2 0
0 0 0
1 0 1
0 1 1
10 5
2 1 4
0 4 2
3 4 0
1 0 4
1 1 0
4 4 4
3 2 1
3 0 3
2 2 3
0 2 4
10 9
3 2 0
3 3 0
0 3 0
2 3 2
3 3 1
1 3 0
1 2 2
3 1 0
3 0 3
3 2 2
10 4
2 1 1
2 2 1
1 0 0
2 2 0
1 1 0
2 0 2
0 0 1
1 0 1
1 2 2
1 1 1
10 9
4 0 0
4 3 2
1 4 0
0 0 0
1 1 1
0 4 1
3 1 0
3 3 4
1 1 3
0 1 3
10 2
0 1 2
2 2 1
3 3 0
1 3 3
0 0 0
2 2 2
3 0 1
1 2 2
1 2 1
1 0 3
10 6
3 3 1
2 3 2
1 1 3
1 0 0
0 1 0
3 1 3
1 1 1
1 0 3
3 2 2
1 0 1
10 4
2 0 2
2 2 1
2 1 2
0 2 0
0 2 2
1 2 2
0 0 2
1 2 1
1 0 0
1 1 0
10 9
1 3 0
3 2 0
3 0 0
3 1 1
2 2 1
0 3 1
1 2 2
1 3 2
1 2 1
3 3 1
10 3
0 1 0
2 2 2
2 1 0
0 0 0
1 2 2
1 2 0
0 2 0
1 1 1
1 2 1
1 0 1
10 7
3 4 4
5 3 3
5 1 0
0 5 0
5 0 2
0 2 1
5 0 1
3 0 1
5 4 5
4 3 1
10 3
4 0 4
1 0 1
5 3 5
4 3 5
1 1 1
0 2 0
0 4 5
3 2 3
5 2 4
0 4 3
10 8
0 1 2
4 1 4
0 0 4
4 0 1
1 2 1
0 1 0
4 1 0
4 2 0
1 2 0
3 0 0
10 2
2 2 2
0 2 0
1 2 2
1 0 0
1 0 2
1 1 2
2 2 1
0 1 1
1 2 0
2 1 0
10 8
2 2 1
0 1 4
3 1 0
1 5 4
1 4 1
3 2 5
5 5 0
3 4 3
5 3 5
2 2 5
10 2
3 4 0
3 1 0
2 2 4
4 1 0
3 4 3
3 1 2
5 5 1
3 5 0
5 3 3
5 4 4
10 3
4 4 0
3 0 0
3 0 3
3 3 0
0 3 2
3 4 3
0 4 3
2 3 2
3 3 3
4 4 2
10 8
3 4 1
1 4 5
5 4 3
4 4 2
2 4 2
5 0 5
3 5 0
3 5 3
4 5 1
0 0 1
10 8
3 0 2
1 3 2
1 2 1
3 2 2
2 3 2
3 1 3
1 3 0
3 2 3
0 1 1
3 3 2
10 2
0 0 1
2 0 0
1 1 1
2 1 0
1 0 0
1 2 1
1 0 1
0 0 2
2 2 0
0 1 2
10 7
1 3 4
1 1 4
4 2 2
3 0 5
0 5 3
2 4 2
0 3 1
1 0 0
0 3 5
2 2 1
10 6
0 3 0
1 0 2
0 2 0
2 2 2
0 2 3
2 0 3
1 1 1
2 2 3
2 1 2
2 3 2
10 8
1 1 2
2 2 2
0 1 2
2 2 1
0 2 0
0 1 1
0 0 0
2 0 0
1 0 2
0 2 2
10 8
2 0 1
2 2 2
1 1 0
0 2 1
2 0 2
0 0 2
1 2 0
0 0 1
2 1 2
2 1 0
10 9
1 2 4
0 2 2
0 1 1
1 0 0
2 3 0
2 1 4
1 4 2
1 1 3
3 4 1
2 2 4
10 6
5 1 2
4 3 4
1 3 1
4 4 3
3 2 2
0 3 3
2 1 0
2 2 0
3 2 3
5 1 5
10 7
3 4 0
2 4 3
4 3 1
0 3 0
2 1 0
2 0 3
2 4 1
3 2 4
4 4 3
3 2 0
10 3
4 1 3
2 1 2
4 3 0
4 1 1
0 1 2
1 0 0
5 5 0
3 5 4
3 1 5
1 0 1
10 2
2 2 1
0 0 0
4 4 1
0 1 0
2 2 3
3 3 4
1 3 1
2 2 4
0 2 4
0 2 1
10 3
1 2 4
2 4 3
4 2 0
1 5 1
0 1 3
1 5 0
5 2 4
1 0 1
3 4 1
5 3 1
10 4
3 3 2
0 3 0
3 2 0
2 0 2
0 3 1
2 0 0
2 1 3
2 0 1
0 1 2
3 3 0
10 9
0 0 0
2 2 1
2 0 2
2 1 2
0 1 2
1 2 2
0 1 0
1 0 0
2 2 0
0 0 2
10 5
2 2 5
2 2 0
4 1 5
3 0 5
5 3 2
4 2 4
0 0 4
4 4 0
4 1 0
1 5 4
10 7
1 4 0
1 3 0
3 4 0
0 0 3
2 4 1
4 1 4
4 4 0
4 2 2
0 2 1
1 4 1
10 2
2 1 1
0 1 2
2 2 1
0 2 0
2 0 1
2 1 2
2 0 2
1 1 1
0 2 2
2 1 0
10 2
0 1 1
3 3 1
1 3 0
2 2 2
1 3 3
1 0 1
2 1 2
1 0 3
0 3 3
3 2 1
10 8
0 2 2
0 1 2
0 0 1
1 0 2
0 1 0
1 0 1
1 0 0
2 2 1
0 2 0
2 1 1
10 5
3 4 0
2 3 4
3 0 3
2 2 5
5 3 1
2 0 2
5 1 3
1 5 0
5 2 4
3 1 1
10 9
3 3 0
4 0 0
3 1 2
0 4 4
4 1 1
2 3 3
1 4 0
4 4 1
4 1 4
1 3 1
10 6
3 4 4
0 3 2
4 4 0
1 2 2
0 0 3
0 3 3
0 4 4
0 1 1
0 1 2
1 3 0
10 4
2 3 3
1 1 4
1 3 2
3 0 3
4 0 4
0 1 4
4 4 4
1 4 4
4 3 0
1 2 4
10 9
1 2 0
2 0 1
0 0 2
2 0 0
0 1 2
0 1 1
0 2 1
1 0 0
0 1 0
0 0 1
10 9
5 2 2
0 2 3
3 0 1
3 1 2
2 3 4
1 2 1
2 2 2
1 5 5
2 5 4
4 2 5
10 8
2 2 0
0 0 1
0 2 0
2 1 1
2 2 2
1 1 1
2 2 1
0 1 1
1 2 0
2 1 2
10 6
4 4 4
3 2 1
0 2 0
1 1 3
4 4 2
4 1 0
2 0 4
4 4 3
1 1 2
3 2 2
10 8
1 2 1
1 1 2
0 0 1
1 1 1
2 0 2
2 0 0
2 2 2
0 0 2
2 1 1
1 1 0
10 6
2 3 0
1 1 3
3 1 4
4 1 0
0 2 2
1 2 4
0 4 1
4 1 1
3 2 0
4 3 3
10 8
2 1 3
0 2 1
3 1 2
3 1 1
3 0 2
1 3 3
2 2 1
1 0 0
3 1 3
0 2 3
10 8
4 4 0
4 3 1
0 4 3
4 1 3
4 4 1
0 1 0
2 0 4
2 4 4
4 0 2
2 2 1
10 7
0 0 3
0 3 1
3 0 1
2 1 1
1 1 1
4 2 2
3 1 4
3 0 4
2 4 4
0 0 1
10 4
1 0 2
2 2 0
1 0 1
0 2 2
0 1 1
0 0 2
1 2 0
0 0 0
1 0 0
1 1 1
10 5
4 1 3
4 1 4
3 1 0
4 2 4
2 2 4
4 0 0
1 1 3
4 2 3
3 3 4
2 0 3
10 2
1 0 3
2 4 3
3 4 2
3 4 0
4 3 3
4 1 2
4 2 2
0 0 2
3 3 4
4 0 1
10 6
3 3 1
0 0 0
1 1 1
1 2 2
3 2 1
0 3 3
1 2 3
2 0 0
0 3 2
1 0 1
10 8
2 1 1
2 1 2
0 1 0
0 2 0
2 2 0
1 2 2
0 1 1
1 0 1
1 0 0
2 0 2
10 4
1 5 3
0 4 5
0 3 5
2 1 5
3 4 2
0 4 3
1 3 4
5 5 1
5 2 5
2 1 1
10 2
1 0 2
3 2 0
3 3 2
0 3 3
2 1 2
1 1 2
3 0 2
0 2 0
2 3 0
3 1 3
10 5
2 0 0
1 0 1
0 0 0
0 0 2
2 0 1
0 1 2
2 1 1
1 0 0
1 1 0
1 2 1
10 5
4 1 2
2 0 3
1 1 4
0 0 4
1 0 2
3 2 1
2 3 4
2 0 0
1 3 3
0 0 0
10 9
3 0 1
4 2 4
1 2 4
1 0 3
0 0 4
4 1 2
2 3 3
1 3 3
4 0 3
3 3 1
10 5
2 4 3
1 1 4
1 2 5
3 0 0
2 5 4
4 1 1
5 5 5
5 0 2
1 4 5
0 1 0
10 5
1 3 2
2 2 3
2 3 3
1 0 2
2 3 1
2 0 3
3 2 1
1 1 3
3 2 0
0 0 0
10 2
5 5 5
0 2 2
5 0 4
2 5 5
4 4 3
3 2 2
0 4 2
5 3 4
1 2 1
4 4 2
10 2
0 3 4
4 4 2
1 4 3
2 0 3
1 1 1
1 2 3
4 2 0
1 4 1
3 3 1
4 4 0
10 5
0 4 4
3 5 0
4 3 0
4 0 5
4 1 5
3 4 0
3 3 5
5 5 5
5 5 1
1 4 3
10 9
1 1 1
1 0 2
1 1 0
2 0 0
0 2 2
0 0 0
0 0 1
0 1 0
2 2 0
2 1 0
10 8
0 4 3
1 4 2
4 3 3
0 2 4
2 1 4
2 3 0
1 0 1
3 0 0
0 0 4
2 4 3
10 9
3 1 3
4 4 4
1 1 1
1 2 1
4 3 0
1 4 2
3 0 3
1 4 3
4 0 2
0 0 0
10 4
0 1 2
2 1 2
2 2 0
0 2 1
1 2 2
2 1 1
0 2 2
0 0 1
2 0 2
1 1 1
10 9
4 3 3
0 1 4
1 0 2
4 4 2
4 3 0
0 1 3
0 3 0
4 1 3
3 1 0
4 0 2
10 6
2 0 2
0 2 0
1 1 2
1 1 1
1 1 0
0 2 2
2 2 1
2 0 0
0 2 1
1 2 2
10 3
2 1 2
0 0 1
1 1 1
0 1 0
2 0 1
1 1 0
1 0 2
0 1 2
2 0 2
0 2 0
10 5
1 0 1
2 1 2
0 2 1
2 2 0
0 2 2
0 0 2
1 1 1
2 0 1
2 1 0
0 1 2
10 8
3 0 2
0 4 0
2 4 3
1 3 4
0 2 3
0 4 3
1 0 4
3 1 4
2 2 2
1 3 0
10 7
1 1 0
0 1 2
2 2 1
2 2 0
2 2 2
1 0 0
2 0 0
2 0 2
0 1 1
1 2 1
10 9
0 0 1
2 0 0
0 0 0
2 2 0
1 1 0
2 2 1
0 0 2
2 0 1
2 0 2
1 0 2
10 9
3 2 1
4 4 2
3 1 2
2 3 3
4 2 0
1 4 0
2 2 3
0 1 3
3 3 4
3 0 0
10 3
3 0 0
2 0 2
3 0 2
2 3 1
0 1 1
0 2 0
2 1 3
0 0 1
3 2 3
1 3 0
10 6
3 1 0
1 2 4
2 2 2
4 4 4
1 3 1
2 3 3
3 2 2
0 0 0
3 3 3
2 3 1
10 9
1 1 1
2 0 0
0 2 0
3 3 1
0 0 3
2 3 3
0 3 3
3 1 2
0 2 1
1 0 1
10 6
5 0 1
3 4 1
3 4 0
4 5 1
2 1 5
1 5 0
5 5 2
1 4 2
1 2 5
0 3 2
10 8
3 3 0
0 0 2
3 2 3
3 0 0
1 1 3
3 3 2
0 1 1
1 1 2
2 2 0
2 3 2
10 8
2 3 0
3 2 1
3 2 2
5 0 2
5 5 5
3 3 5
5 3 3
4 3 2
2 1 4
4 0 1
10 8
3 3 4
3 3 3
1 2 1
3 2 2
0 2 1
3 4 1
3 3 1
3 1 1
1 4 4
4 3 3
10 4
2 3 5
5 5 1
1 3 0
3 3 2
3 0 2
3 2 0
4 3 3
3 3 0
1 3 3
2 3 4
10 8
0 4 4
1 3 5
3 3 3
1 5 3
5 1 5
5 2 3
4 0 5
5 0 1
5 0 3
5 1 4
10 2
2 4 1
2 4 5
4 1 3
5 5 3
5 4 1
2 2 0
2 5 5
1 0 4
4 2 3
2 1 4
10 8
1 1 0
0 1 2
3 3 2
0 2 2
1 2 2
2 2 0
1 2 0
3 2 2
1 0 0
3 2 3
10 4
1 1 0
2 2 2
1 0 2
1 2 2
0 0 2
1 0 1
0 1 2
1 1 1
2 0 0
2 0 2
10 2
4 1 4
4 0 0
2 0 4
5 4 0
2 1 3
4 5 1
5 1 3
5 4 3
4 2 0
1 2 0
10 3
2 4 4
0 1 2
3 2 3
0 2 0
2 3 2
0 3 4
3 2 4
4 0 4
0 3 2
0 0 1
10 9
2 0 3
1 2 1
2 3 4
5 3 1
1 0 1
3 4 1
2 1 4
3 0 4
3 2 1
5 3 0
10 8
1 2 0
2 0 3
3 0 0
3 3 0
2 2 1
2 3 0
3 2 2
3 0 2
2 3 3
1 2 1
10 5
0 3 1
2 1 0
2 2 2
1 1 0
2 1 2
1 1 1
1 2 2
1 1 3
2 0 3
3 3 3
10 6
2 4 5
1 4 3
1 1 5
3 3 0
2 5 4
5 2 4
1 2 0
3 4 0
2 3 5
4 3 1
10 7
1 1 0
1 4 3
0 3 2
4 2 1
3 4 0
2 2 3
3 2 1
0 0 3
2 1 4
3 4 3
10 2
5 1 0
1 3 0
1 5 4
5 2 1
1 2 4
1 2 2
3 2 0
2 2 5
2 2 1
3 0 3
10 6
3 3 4
4 3 3
3 4 1
2 1 4
3 3 2
2 2 4
2 1 2
4 2 3
4 1 4
0 3 0
10 5
1 5 5
3 3 1
3 3 5
5 1 3
3 2 0
3 5 3
4 2 2
0 4 4
1 2 2
3 2 4
10 3
0 1 4
2 4 0
4 1 2
3 0 2
0 1 3
1 0 2
2 2 1
0 1 2
1 3 4
0 3 4
10 5
1 1 2
1 3 1
0 2 0
3 4 0
1 4 3
3 1 4
4 2 4
2 0 0
4 0 2
4 4 3
10 4
0 2 2
1 2 2
0 0 0
1 2 1
2 1 1
1 0 1
1 1 2
1 0 0
2 1 0
1 2 0
10 8
3 0 3
0 2 3
0 3 1
3 2 3
3 3 3
0 2 1
1 0 0
3 3 2
2 2 2
0 2 0
10 7
1 2 0
3 2 0
2 0 2
3 0 2
0 2 3
2 2 0
2 2 1
0 1 2
3 1 1
0 0 3
10 4
2 1 0
2 4 1
3 0 2
0 1 3
4 3 2
2 1 4
0 4 1
3 3 3
3 2 3
4 3 0
10 4
2 0 1
2 2 2
0 1 0
0 2 2
2 0 2
1 1 0
0 1 1
0 0 0
1 2 2
1 1 2
10 7
2 4 3
4 1 2
0 1 0
2 1 1
4 1 1
3 1 1
4 4 1
0 4 2
4 3 4
4 4 3
10 4
2 2 1
1 2 0
3 2 2
0 1 3
0 2 3
0 2 2
0 2 1
0 0 2
1 3 1
1 1 3
10 4
5 0 3
5 3 0
4 3 4
1 3 3
2 1 0
0 4 3
3 4 4
3 1 5
5 1 3
4 0 5
10 8
2 2 3
4 0 0
3 1 0
2 3 1
0 2 1
0 3 3
3 2 3
3 1 1
0 4 3
3 3 1
10 9
1 2 4
3 1 4
2 1 4
4 0 4
5 4 0
3 4 0
4 1 5
2 0 4
1 0 2
5 1 1
10 5
0 2 1
1 0 0
3 0 3
1 4 1
1 1 0
0 2 4
2 3 0
4 0 4
2 1 1
0 4 1
10 9
1 0 1
4 2 0
0 1 5
3 1 1
2 2 3
4 3 3
0 4 2
0 2 1
0 0 3
5 4 5
10 2
1 0 2
3 1 1
2 0 1
0 3 2
3 2 3
2 3 3
0 1 2
3 0 1
3 3 1
2 2 1
10 2
2 2 2
0 1 0
2 0 0
1 2 2
0 2 2
2 1 1
0 0 0
1 0 2
1 2 0
0 2 1
10 3
0 0 3
3 0 2
0 3 3
1 0 3
2 1 3
0 0 1
2 3 0
2 3 2
0 3 0
3 1 2
10 2
2 0 0
1 0 0
4 3 3
2 4 2
1 2 4
4 0 1
4 4 1
2 1 0
1 3 3
0 4 4
10 9
2 1 3
0 1 3
3 3 3
0 2 2
2 3 0
1 1 0
0 3 3
1 1 2
2 0 1
3 0 2
10 4
3 2 0
0 0 0
3 1 2
1 0 1
2 1 3
2 0 4
2 0 2
2 2 4
2 0 0
1 2 4
10 9
0 2 0
0 0 1
0 0 2
1 2 0
2 2 0
1 1 0
0 0 0
2 0 0
0 2 1
2 1 2
10 5
3 1 2
1 3 1
1 4 0
3 1 4
4 4 2
0 2 4
1 3 0
3 4 0
4 3 0
4 0 4
10 7
4 4 4
4 3 1
4 0 3
1 4 1
2 0 1
2 4 4
4 2 1
1 3 0
4 1 3
1 0 2
10 2
2 2 2
1 2 2
0 1 0
1 2 1
1 1 0
0 0 2
1 0 2
2 0 1
0 2 2
2 0 2
10 9
4 2 2
4 2 1
2 4 4
2 4 3
5 1 3
1 4 2
2 3 0
1 3 2
1 5 1
5 4 1
10 6
0 1 4
2 2 1
4 4 3
3 2 2
2 1 3
0 0 4
1 3 3
2 1 2
2 2 2
4 3 0
10 2
2 2 4
2 2 3
2 3 3
2 4 4
0 0 1
2 3 1
4 4 0
4 3 3
3 1 3
1 3 4
10 5
0 1 2
0 4 0
3 1 4
4 0 4
3 1 3
2 4 4
0 4 2
0 3 3
2 0 3
1 2 0
10 5
5 4 3
2 2 5
2 0 2
1 0 0
5 0 5
5 4 0
0 5 5
0 4 2
0 2 5
5 4 4
10 9
2 2 2
3 0 1
0 0 2
2 0 0
2 0 1
0 0 1
3 1 3
3 0 2
3 0 3
1 3 1
10 7
3 1 2
4 1 3
1 4 3
2 3 1
3 4 3
3 4 2
2 3 4
4 0 0
3 0 4
2 2 2
10 6
1 0 2
3 2 2
1 0 0
1 0 1
0 3 3
1 1 2
0 2 2
3 3 0
0 2 3
2 2 0
10 9
3 2 3
2 3 3
2 1 2
1 0 3
0 1 2
2 1 0
3 2 0
0 3 1
1 1 2
1 3 3
10 5
1 3 5
4 5 4
5 0 4
2 0 1
0 4 5
2 1 4
5 5 3
3 4 2
2 5 5
5 0 3
10 8
1 1 1
0 1 0
2 0 2
0 0 0
1 1 2
2 2 0
0 1 1
1 2 1
1 2 0
1 1 0
10 8
3 4 1
1 0 3
5 3 4
5 4 2
1 5 4
4 3 1
5 2 4
5 5 3
2 3 4
5 4 5
10 4
1 0 1
3 0 1
2 0 1
1 2 1
3 3 3
3 2 3
1 1 2
0 2 2
3 1 1
2 2 1
10 7
2 1 2
0 1 0
2 3 3
0 3 3
3 3 0
3 1 2
0 0 1
3 1 3
0 0 2
2 3 0
10 9
1 1 1
2 2 4
2 3 4
0 1 2
1 3 2
1 2 4
3 1 4
0 1 0
4 2 0
1 1 2
10 6
0 1 0
1 1 1
1 2 2
1 1 2
0 0 1
2 1 0
2 0 1
0 1 2
1 1 0
0 2 0
10 7
2 1 2
0 1 2
2 1 1
1 1 2
0 0 2
0 2 2
1 2 1
0 1 1
1 0 1
1 2 0
10 6
4 1 4
3 0 3
3 2 4
0 3 4
2 1 2
3 2 2
0 0 2
0 1 0
0 4 4
1 1 0
10 3
3 3 3
0 2 0
0 2 3
2 1 3
1 0 1
0 3 2
2 3 3
1 0 3
2 1 1
3 2 1
10 2
1 1 2
2 1 2
2 0 0
0 2 1
0 1 0
1 0 1
1 2 2
0 2 0
2 1 0
2 1 1
10 3
2 1 3
0 0 3
2 2 2
2 3 0
0 2 2
2 0 0
0 1 0
2 3 3
3 0 1
0 3 1
10 7
1 0 0
2 3 2
3 0 4
4 3 1
4 3 2
0 4 1
2 4 4
4 2 2
0 0 1
1 1 3
10 4
1 0 0
0 1 2
2 2 0
0 2 1
0 0 1
2 0 0
0 1 1
1 1 1
2 1 1
1 1 2
10 4
2 3 3
1 3 3
2 0 3
3 1 2
0 2 3
2 1 0
1 1 3
1 3 0
1 2 1
0 2 1
10 6
2 0 1
2 2 0
1 2 1
1 2 2
1 1 0
0 2 0
0 0 0
0 0 1
2 1 1
1 1 1
10 5
2 0 1
0 0 2
2 2 0
0 2 2
0 0 0
1 1 2
0 0 1
1 2 0
0 2 0
1 2 2
10 2
2 0 0
1 3 1
1 0 0
3 3 0
2 0 3
1 2 2
3 0 0
0 3 3
2 1 0
3 2 3
10 8
0 1 0
1 1 2
2 1 3
0 1 2
1 3 0
3 3 1
0 3 3
2 0 3
3 0 3
1 2 2
10 3
2 3 4
4 0 1
1 5 2
2 2 0
5 1 4
0 2 1
5 5 0
4 2 2
2 5 1
0 5 5
10 7
2 3 0
1 2 0
3 0 0
2 0 3
1 1 2
2 1 0
1 0 1
3 0 2
3 0 3
0 3 1
10 6
1 1 4
1 0 1
2 2 1
1 4 0
1 1 2
1 3 2
1 1 3
3 3 2
1 0 3
4 3 3
10 3
5 4 1
5 3 0
3 3 2
5 3 1
2 0 0
5 1 4
1 4 3
3 0 1
4 5 4
2 4 2
10 7
0 1 5
5 0 3
4 2 4
2 1 0
3 1 3
1 1 5
3 3 5
5 4 4
4 2 2
3 2 1
10 5
2 3 3
2 0 3
3 0 1
0 0 0
3 1 2
0 2 2
1 2 2
0 0 3
0 3 2
0 1 3
10 9
0 0 1
1 2 2
0 0 0
0 2 2
2 1 0
2 2 2
1 0 2
1 1 1
1 0 0
0 1 2
10 6
0 0 2
2 1 0
1 2 0
5 3 4
5 0 3
2 4 1
1 4 5
5 2 4
3 5 2
0 3 3
10 3
2 4 2
0 4 1
3 2 2
2 2 1
4 2 4
3 4 1
0 0 4
3 1 2
0 3 0
2 4 4
10 2
2 4 1
3 3 2
1 4 1
5 5 0
3 3 3
5 1 2
2 5 0
3 0 1
3 3 4
0 5 3
10 2
1 0 4
0 1 0
3 1 0
3 3 0
2 0 0
0 0 3
0 0 2
3 4 0
3 0 3
1 0 3
10 6
1 0 1
2 1 2
0 1 1
2 2 1
0 1 2
1 0 0
1 2 1
0 2 0
2 2 0
2 1 0
10 7
1 2 2
3 3 3
0 3 1
0 3 2
2 1 1
0 1 0
3 2 3
1 2 0
2 3 0
3 1 2
10 4
1 2 1
1 0 0
0 0 1
1 2 2
2 1 0
2 1 2
2 1 1
1 0 2
1 1 1
0 1 2
10 6
3 3 3
1 1 2
0 3 0
1 1 1
2 0 3
2 0 0
1 2 3
3 2 0
0 1 3
3 1 1
10 6
0 2 0
2 2 2
0 2 1
0 0 1
1 0 2
1 2 1
0 1 0
1 1 1
2 0 2
1 2 0
10 7
0 0 0
0 0 2
1 0 2
1 2 2
1 1 2
1 0 1
2 2 1
2 0 2
2 0 1
0 1 1
10 3
5 2 1
4 5 0
5 4 0
4 0 0
2 4 1
4 5 1
2 5 3
4 4 3
2 0 2
5 1 3
10 4
0 2 0
0 0 2
3 2 3
2 0 1
3 3 1
0 1 1
1 1 2
1 1 4
2 4 4
4 2 3
10 5
2 4 1
1 0 1
0 4 2
3 4 4
4 2 4
1 0 2
1 4 3
0 0 0
3 3 3
1 3 0
10 9
0 0 2
0 1 0
1 0 2
1 1 2
2 0 2
2 0 0
1 1 0
2 0 1
0 1 2
0 2 0
10 9
4 4 2
3 0 4
5 1 2
3 2 3
4 2 2
0 2 1
5 0 5
0 3 1
2 3 1
5 4 0
10 8
3 3 4
3 0 0
4 2 3
4 3 4
0 2 1
4 3 1
4 0 1
3 4 0
4 0 0
3 2 4
10 7
2 2 0
1 1 1
2 2 1
0 2 2
1 2 0
1 2 2
1 1 0
1 1 2
2 0 2
0 0 0
10 5
0 2 1
0 3 3
3 0 0
1 2 3
2 1 2
2 0 3
0 4 4
1 1 2
0 4 0
0 2 0
10 3
4 0 3
4 0 4
1 0 3
2 0 3
2 3 2
1 0 2
0 2 1
3 4 2
0 1 1
4 4 2
10 2
1 1 2
1 2 1
4 4 2
2 3 3
2 2 3
4 2 0
0 1 2
3 0 2
0 0 2
0 1 0
10 7
1 0 2
1 2 2
1 2 0
2 1 1
0 0 2
2 2 2
2 0 1
1 1 2
0 2 0
1 1 0
10 6
3 3 4
2 0 1
1 4 2
3 0 0
2 1 1
1 1 2
0 0 2
2 3 4
4 3 0
3 2 0
10 6
2 2 1
1 2 2
0 2 0
1 2 0
1 1 2
2 0 2
1 0 2
0 1 0
1 1 0
2 1 1
10 6
3 2 0
1 0 2
3 2 1
0 2 0
4 2 3
0 1 0
4 4 4
1 2 1
3 0 3
3 4 3
10 2
3 1 1
3 0 3
1 3 2
3 0 0
0 3 0
1 2 2
1 1 1
1 0 3
3 3 2
3 2 2
10 4
2 0 1
0 1 0
1 4 3
4 2 2
3 4 0
4 0 4
4 1 0
0 4 3
3 2 0
0 4 4
10 5
0 1 5
0 5 3
5 3 2
1 1 2
1 1 3
4 5 0
2 3 5
3 2 5
2 5 1
2 0 5
10 8
1 2 2
2 2 0
0 0 2
0 2 0
0 2 1
1 1 0
0 0 0
2 2 2
2 0 2
0 0 1
10 8
2 0 1
0 0 0
2 3 2
2 3 3
0 0 2
0 2 3
0 3 3
0 2 2
0 0 1
0 3 1
10 7
0 1 1
1 0 0
0 0 0
0 0 2
1 1 0
2 0 1
0 2 1
0 1 2
1 2 1
2 1 1
10 9
3 0 4
2 3 4
5 3 4
0 5 1
5 0 2
1 5 5
4 2 0
4 0 4
2 4 1
5 2 5
10 2
4 0 4
0 2 4
3 0 1
1 3 3
1 3 4
0 4 3
2 2 4
3 1 3
0 3 2
4 4 4
10 7
4 2 4
0 4 1
1 1 4
2 3 4
0 1 0
0 0 5
1 2 3
1 0 3
1 4 3
2 2 4
10 8
2 0 2
0 1 1
2 1 1
2 2 0
2 1 2
0 2 2
2 2 2
0 2 1
1 0 2
0 0 0
10 4
3 0 3
1 1 2
2 1 3
0 1 1
0 0 1
1 2 1
3 2 0
0 1 2
3 3 3
1 1 1
10 5
4 0 3
4 3 0
5 0 1
4 3 1
5 1 5
3 0 0
3 4 1
5 5 2
0 3 2
4 4 2
10 8
0 2 0
0 1 0
1 2 2
1 1 0
2 1 1
0 2 2
2 2 2
0 1 2
2 2 1
2 2 0
10 6
2 2 1
1 0 0
2 1 0
0 0 2
0 0 1
2 1 2
2 0 2
2 2 0
2 0 1
0 1 1
10 2
2 1 2
0 0 0
1 3 1
2 3 1
1 1 1
3 1 4
1 2 3
0 4 4
1 1 3
4 3 1
10 8
2 0 2
0 3 2
1 1 2
1 2 1
3 1 0
2 3 1
2 0 0
0 2 0
2 2 3
2 2 1
10 8
2 3 0
3 2 2
2 3 1
0 2 0
3 0 1
3 3 0
0 0 0
2 2 2
1 2 3
0 0 3
10 9
0 1 3
0 3 1
3 0 1
1 1 1
2 0 0
0 4 4
4 2 0
3 0 0
0 1 0
1 1 4
10 2
0 0 4
3 0 0
3 2 4
3 3 4
0 4 3
0 2 2
1 1 2
2 1 2
2 0 1
0 2 3
10 3
4 2 3
0 3 2
3 0 2
5 4 1
3 4 3
1 4 0
0 3 5
4 1 5
2 3 0
3 3 4
10 7
3 5 5
2 2 2
1 3 3
5 2 3
4 5 2
3 4 0
1 4 1
0 0 5
3 4 2
3 1 5
10 5
1 0 0
2 1 4
4 0 1
0 1 2
2 0 1
2 4 1
3 0 3
4 1 1
1 0 3
3 3 2
10 8
3 3 3
0 0 2
3 0 1
1 0 3
2 2 2
0 3 2
2 2 3
2 3 0
0 0 3
3 2 1
10 2
0 1 0
3 2 2
2 0 4
3 3 4
0 4 3
4 4 0
2 3 3
4 3 1
4 3 4
4 4 1
10 7
0 1 1
4 0 4
3 1 0
3 1 1
4 4 3
2 4 0
2 1 2
4 3 2
3 1 3
3 2 1
10 9
0 3 3
3 3 0
2 1 3
2 1 1
2 0 2
0 2 3
1 0 0
4 3 3
2 2 0
4 0 0
10 9
2 1 0
1 1 0
0 1 0
1 0 2
2 1 1
0 0 1
1 0 1
1 2 1
2 0 1
2 0 0
10 5
3 2 0
3 1 1
0 3 2
0 0 3
2 3 3
1 2 0
1 1 1
3 1 0
2 1 2
2 1 0
10 4
1 3 4
3 0 2
0 4 3
2 2 0
4 4 2
3 4 3
2 3 4
4 3 4
2 1 1
1 2 0
10 6
3 3 1
3 0 3
3 3 2
0 2 3
3 1 2
1 2 0
2 3 2
0 1 0
2 0 3
3 3 0
10 2
1 1 0
1 1 2
1 2 0
0 1 2
1 1 1
1 0 1
2 0 2
2 1 2
2 0 0
1 0 0
10 5
0 1 0
1 2 1
1 0 0
0 2 2
1 0 2
2 1 1
0 0 2
1 1 2
0 1 1
0 2 1
10 2
1 2 1
2 2 2
1 3 2
0 0 3
2 2 0
1 0 0
2 1 1
2 2 1
3 3 3
0 2 1
10 7
1 2 3
3 2 0
1 1 3
0 0 3
1 1 2
2 2 2
3 0 0
3 1 2
1 0 0
2 2 3
10 9
3 0 2
2 3 1
0 0 2
4 2 0
1 3 2
0 4 4
0 2 3
1 1 4
2 4 2
1 2 3
10 5
0 2 1
0 1 3
0 3 2
2 3 1
2 1 1
0 1 0
1 3 3
1 2 0
1 0 1
1 3 0
10 8
2 1 1
1 0 2
3 2 4
3 0 4
4 3 1
0 1 0
3 4 3
1 3 1
1 2 1
4 3 3
10 7
2 0 1
0 1 0
1 0 1
0 0 1
0 0 0
0 1 1
0 0 2
1 2 1
0 1 2
1 1 2
10 4
1 0 2
0 0 1
2 3 0
2 2 0
2 1 2
3 3 1
3 3 2
3 0 0
1 1 3
2 3 3
10 9
0 0 1
1 0 0
2 1 2
0 1 2
1 2 0
2 1 1
2 1 0
2 0 2
2 0 0
0 0 0
10 7
2 1 4
0 3 0
1 0 2
2 4 3
1 1 3
0 2 4
1 4 2
2 2 1
4 0 4
0 4 0
10 4
1 2 4
2 5 3
4 1 2
4 0 3
1 3 0
1 0 0
0 0 1
3 4 1
2 0 4
5 0 5
10 2
4 0 2
1 5 3
1 2 5
4 5 5
1 5 2
5 0 4
1 5 1
0 0 2
3 4 1
5 3 3
10 8
4 4 4
3 1 2
2 3 3
0 0 2
4 4 1
0 3 4
1 4 1
2 2 3
0 3 3
1 1 0
10 6
4 4 4
3 2 3
1 1 0
3 2 2
0 1 1
3 4 0
0 0 0
1 0 3
0 3 0
2 1 0
10 7
5 1 2
0 2 1
5 5 4
0 5 0
0 0 2
3 3 1
2 3 5
3 0 0
5 4 2
0 2 5
10 2
4 3 2
1 5 4
2 4 2
2 3 2
5 2 3
3 1 3
5 2 0
4 4 3
2 2 2
4 5 3
10 4
4 2 5
3 0 5
3 4 2
0 2 5
3 1 0
4 3 2
3 5 1
2 0 1
5 4 2
3 0 3
10 6
3 1 3
2 4 2
3 3 2
0 1 3
1 3 1
4 2 1
0 0 3
0 0 0
3 4 0
2 3 4
10 4
4 4 2
1 5 0
3 1 3
3 5 2
3 2 1
5 0 5
2 5 4
0 2 0
5 4 4
2 1 3
10 3
3 5 4
3 1 4
1 4 5
1 0 0
1 4 3
2 0 2
5 2 1
2 4 2
0 5 2
4 5 2
10 3
3 0 3
4 2 0
0 1 1
1 1 3
0 0 4
3 3 4
2 2 3
0 2 1
4 1 1
3 4 3
10 3
4 0 4
0 3 1
0 1 0
0 0 3
3 4 0
1 2 3
2 3 1
1 2 4
4 1 0
2 3 3
10 3
1 1 0
0 0 1
1 0 2
1 2 1
2 0 0
2 1 1
1 1 2
2 2 0
1 0 0
0 1 0
10 6
1 2 1
4 2 4
3 3 1
2 4 3
1 4 2
0 3 0
0 3 3
1 3 4
3 4 0
0 4 4
10 8
0 3 1
2 0 2
0 0 1
1 1 1
1 2 1
2 3 3
3 1 0
3 1 2
0 2 0
3 0 2
10 4
0 0 1
0 0 0
0 1 2
2 2 0
2 0 0
2 0 1
0 2 0
0 1 1
0 1 0
2 1 1
10 5
2 3 0
0 0 0
1 0 2
2 1 1
0 1 2
2 2 1
1 1 0
3 0 0
4 4 2
0 2 0
10 7
0 5 5
0 2 5
4 2 0
2 4 0
3 3 0
5 5 4
1 1 2
5 2 5
4 3 3
0 0 5
10 4
4 2 1
0 3 0
3 3 2
4 2 3
1 3 1
4 3 1
0 0 2
3 1 1
2 4 4
4 2 2
10 7
1 2 0
0 0 2
1 0 2
2 0 1
2 1 2
2 0 2
0 2 0
1 1 2
0 1 1
0 0 0
10 6
1 0 3
0 3 1
1 2 3
1 2 2
3 2 0
3 0 2
0 0 3
1 3 2
3 0 3
1 2 0
10 7
0 2 0
0 2 1
0 0 1
2 1 1
2 2 0
1 1 0
0 2 2
0 0 2
1 0 1
0 1 1
10 5
2 1 0
0 0 2
0 1 1
1 1 1
2 2 2
2 0 1
1 2 2
2 1 2
0 1 2
1 2 0
10 2
4 2 4
0 4 2
4 0 0
3 3 4
1 3 2
3 1 1
3 3 3
4 4 4
1 3 1
0 3 2
10 8
0 0 3
0 1 2
0 2 1
1 2 0
4 4 4
4 0 0
1 0 2
0 0 2
0 1 0
2 1 4
10 6
2 1 4
1 4 4
1 2 4
2 2 0
4 1 3
3 1 0
2 4 1
2 0 0
4 0 4
2 4 2
10 2
0 1 0
0 3 1
3 2 1
3 1 2
3 1 0
0 0 2
3 3 3
2 0 0
1 3 0
1 0 0
10 5
1 0 2
1 0 0
0 0 2
1 2 0
0 1 2
1 1 0
0 2 0
1 2 1
1 0 1
2 1 1
10 7
2 4 0
4 2 4
1 0 1
2 0 3
2 1 4
0 2 1
4 3 2
4 3 1
2 3 2
0 3 1
10 4
3 0 2
4 0 1
4 3 4
1 0 0
0 1 3
1 1 1
0 0 3
0 1 0
1 2 1
0 2 0
10 5
1 2 0
3 0 4
0 4 3
1 3 2
1 1 3
0 1 3
4 1 1
2 3 0
4 4 3
2 4 2
10 7
0 0 0
0 2 3
3 4 0
2 4 3
0 2 4
4 1 0
3 1 4
2 3 3
2 3 4
2 1 0
10 3
0 4 0
0 1 2
1 0 2
2 4 3
4 5 3
0 2 1
0 5 1
0 1 1
5 0 0
5 2 5
10 6
1 1 1
4 0 3
3 1 0
0 2 3
2 2 2
4 0 4
1 4 4
4 2 3
4 2 4
0 3 2
10 6
0 2 1
1 2 1
0 2 0
1 0 2
1 0 0
0 0 0
2 0 2
1 1 0
0 1 1
0 2 2
10 7
0 1 0
1 1 1
2 0 0
1 2 1
0 0 1
0 1 1
0 2 1
1 1 2
2 1 2
1 0 0
10 3
3 3 0
3 0 3
0 1 0
1 3 1
1 0 1
2 0 3
0 0 3
1 0 2
2 0 1
3 1 2
10 6
3 3 0
0 2 3
2 2 0
2 0 2
0 4 2
0 3 3
1 2 1
3 3 3
4 3 2
4 0 2
10 5
0 3 2
0 0 3
0 3 0
1 2 2
0 0 1
2 2 3
0 0 2
2 1 3
1 3 0
0 3 3
10 7
4 1 0
3 1 1
2 1 2
2 4 3
3 0 4
4 4 4
0 2 3
0 2 0
0 4 1
3 2 1
10 4
0 1 2
0 1 1
1 2 1
2 0 0
2 1 2
2 2 1
2 0 1
1 0 0
2 2 0
1 2 0
10 8
2 1 3
1 0 0
3 3 1
0 1 3
1 3 2
0 1 0
3 2 3
3 1 3
3 2 1
2 1 0
10 8
0 0 3
2 1 3
2 4 2
2 2 4
0 5 4
1 3 5
1 0 0
0 2 1
1 3 2
4 1 2
10 2
0 2 1
4 4 2
4 3 4
2 1 4
3 4 1
3 4 2
1 0 0
3 2 4
5 4 4
3 0 3
10 6
3 1 0
5 1 1
5 0 5
1 0 0
5 1 0
0 5 4
1 2 1
3 5 1
4 1 4
4 2 4
10 2
1 5 5
2 3 2
1 2 0
3 5 3
1 3 0
0 5 3
3 0 3
3 1 4
4 0 1
2 0 1
10 2
3 0 0
1 4 1
2 0 3
1 5 5
5 2 5
4 3 2
4 1 1
3 3 1
2 3 2
5 1 0
10 7
3 0 0
0 3 3
0 3 2
4 3 4
1 2 3
0 2 0
1 0 4
2 3 1
2 1 3
0 0 2
10 9
0 2 1
0 1 0
2 1 1
1 0 1
2 0 1
2 0 2
1 1 0
0 2 0
2 1 0
1 0 2
10 5
2 2 2
4 2 2
1 3 4
0 2 0
2 2 4
3 3 3
1 4 4
3 2 2
1 4 3
4 1 1
10 5
2 1 0
2 0 1
0 1 0
0 2 1
1 0 1
1 0 2
2 2 1
1 2 1
1 1 1
1 0 0
10 5
1 3 2
4 4 0
2 4 3
2 4 4
3 0 3
1 0 3
3 4 4
3 4 5
5 3 5
5 0 0
10 8
0 1 1
1 0 2
1 0 1
1 1 2
2 0 2
0 2 0
0 2 2
0 0 0
0 1 0
2 0 0
10 9
2 0 0
1 0 1
1 2 0
0 1 2
1 0 2
2 1 1
0 2 2
1 0 0
0 1 1
0 0 2
10 8
0 0 1
1 1 0
3 3 0
1 1 1
2 3 1
3 1 1
0 2 3
2 1 3
0 1 2
0 1 3
10 6
1 2 0
1 1 2
2 0 0
0 2 2
2 1 1
1 0 0
0 2 1
0 2 0
2 2 0
1 1 0
10 5
1 1 3
3 0 0
2 2 0
3 1 3
1 2 2
0 3 0
0 3 2
3 2 2
3 0 3
1 1 2
10 8
4 2 2
1 0 5
4 3 0
3 0 3
2 0 4
2 2 2
3 1 1
4 0 5
4 3 5
5 2 4
10 2
4 0 0
3 1 0
1 0 1
3 3 0
0 1 3
3 1 2
0 1 1
2 0 0
0 0 1
2 3 3
10 2
1 0 2
5 5 2
5 1 5
3 4 4
3 3 0
4 3 0
4 5 1
2 5 1
0 2 2
2 2 1
10 9
2 1 2
1 0 1
0 1 5
1 3 0
3 5 3
1 1 2
5 1 4
4 5 3
2 4 0
4 1 4
10 8
5 0 0
0 2 4
1 5 4
4 1 4
3 4 5
0 2 3
1 3 0
1 3 3
4 5 4
4 3 5
10 9
1 1 4
1 3 2
2 0 4
2 3 3
0 4 1
2 1 3
2 1 0
4 1 0
2 1 4
3 0 4
10 4
0 2 2
1 2 2
1 2 1
2 1 1
1 1 0
2 0 1
0 0 2
2 0 2
1 1 2
1 0 2
10 3
1 1 5
0 2 3
5 1 4
2 2 5
2 2 4
5 2 2
5 3 4
2 5 1
3 2 1
4 5 1
10 2
1 0 0
2 0 0
1 2 1
1 2 2
2 1 0
2 2 2
1 1 1
2 0 1
2 2 1
0 0 0
10 2
1 2 2
1 0 2
2 1 0
2 2 0
0 0 2
1 2 0
1 1 0
2 2 2
2 0 1
0 2 2
10 5
4 2 2
2 0 3
0 1 1
4 0 1
1 2 4
1 3 0
0 4 0
1 1 3
0 1 4
0 4 1
10 4
0 2 1
2 2 0
0 0 2
1 1 2
2 2 2
2 1 0
0 2 2
2 0 0
1 2 0
0 1 0
10 4
3 0 2
0 3 2
3 1 1
0 0 3
4 1 3
4 3 2
3 0 4
0 2 0
2 2 3
2 0 1
10 7
0 3 0
2 2 2
3 3 1
3 1 2
3 0 3
0 2 0
3 2 1
2 0 3
0 2 3
2 2 3
10 9
5 2 1
1 0 1
3 1 1
2 1 5
1 4 2
5 3 0
2 3 4
3 4 5
2 0 2
0 3 1
10 6
4 4 4
1 5 3
1 3 3
1 3 2
1 2 5
0 3 1
3 4 5
3 3 1
1 4 1
3 5 3
10 9
1 1 2
2 1 4
0 4 3
4 1 3
1 2 1
0 4 2
4 3 3
1 2 4
3 0 1
0 1 3
10 5
2 4 2
3 3 0
4 0 2
3 4 3
3 1 4
0 4 2
1 4 0
3 2 1
2 1 2
0 0 3
10 5
3 3 1
2 3 0
2 2 2
1 2 0
0 2 1
2 1 2
2 0 3
3 3 2
1 0 0
2 1 3
10 3
5 4 4
4 3 4
2 3 3
1 1 2
3 4 5
3 4 1
1 5 0
4 5 2
2 5 0
1 4 5
10 5
0 0 1
0 2 2
2 2 0
2 2 2
1 1 1
1 2 0
1 0 0
1 2 1
0 2 1
1 1 2
10 5
3 3 3
4 2 1
2 3 3
1 1 2
2 2 2
5 2 2
5 1 2
4 2 2
2 4 0
3 0 5
10 6
0 1 0
2 1 2
1 2 1
0 0 0
0 0 1
0 2 2
1 2 0
1 0 2
1 2 2
2 2 2
10 2
0 4 5
4 3 0
4 4 3
2 3 2
0 3 0
4 5 3
0 3 5
3 4 3
3 5 2
1 4 3
10 9
0 3 2
0 3 0
3 2 3
2 0 0
0 2 2
2 3 0
2 1 2
2 2 1
3 1 3
0 1 3
10 5
0 0 1
2 0 2
0 2 0
1 1 0
2 0 1
2 2 0
1 0 1
2 2 2
0 2 2
2 2 1
10 9
3 0 1
3 1 1
0 2 3
1 1 4
3 4 3
0 3 3
4 1 2
2 1 4
0 4 4
3 1 2
10 5
2 4 0
2 0 4
4 4 2
4 1 0
0 4 4
3 1 2
4 4 3
4 0 3
1 3 1
3 4 0
10 5
5 0 1
3 5 4
5 3 3
3 3 3
3 5 3
2 2 0
0 3 0
4 2 3
0 5 2
5 1 0
10 5
0 3 2
3 1 2
3 2 4
3 0 2
1 4 1
1 0 2
2 1 0
1 2 1
2 0 2
4 4 1
10 9
4 2 3
1 2 1
5 1 3
1 5 3
5 1 0
0 1 1
3 1 5
5 0 2
1 4 5
5 2 4
10 2
2 4 3
3 3 1
3 2 2
3 1 4
0 0 4
0 3 1
2 1 3
0 0 3
3 4 2
1 0 4
10 2
1 0 3
2 1 3
3 2 1
3 3 2
1 3 2
0 3 3
0 1 1
1 0 0
0 3 2
2 1 4
10 6
3 2 2
2 0 3
3 2 0
2 1 1
2 2 3
0 3 3
2 3 1
3 3 0
3 1 3
0 1 0
10 2
0 0 4
4 1 4
0 5 5
0 5 1
0 1 4
2 3 0
1 2 2
5 0 4
1 0 0
2 2 5
10 6
3 0 2
3 0 4
1 4 4
2 4 3
1 2 0
5 1 3
0 1 5
4 3 1
1 5 4
1 5 0
10 6
4 0 1
0 1 3
0 4 4
0 5 4
1 4 2
3 0 5
1 2 2
3 4 3
1 3 4
0 2 5
10 8
0 2 0
5 5 1
1 4 4
2 0 4
1 0 0
2 1 5
1 2 1
4 5 1
1 4 5
3 4 3
10 7
2 4 2
3 2 4
1 4 4
2 1 0
2 3 0
4 4 3
0 3 2
4 3 1
4 0 0
1 0 1
10 9
3 4 4
3 1 1
0 3 3
0 2 3
1 4 2
3 1 3
2 2 4
0 4 0
2 3 4
4 1 4
10 9
1 4 5
2 4 5
2 5 2
0 1 1
3 5 3
5 3 3
2 3 3
5 1 2
5 2 0
3 5 4
10 8
1 3 0
1 3 3
3 3 2
2 1 3
2 0 2
0 1 2
3 2 2
2 1 1
2 0 3
3 3 0
10 8
1 2 0
1 5 3
5 5 4
0 0 0
0 1 3
5 1 3
4 1 2
1 5 4
3 1 3
0 5 5
10 2
1 2 2
2 2 0
0 0 2
2 1 0
1 1 1
0 2 1
2 0 2
0 1 0
1 0 1
2 2 2
10 3
2 3 0
4 0 3
0 4 1
2 3 1
1 2 4
3 4 1
3 2 0
0 4 2
0 3 0
4 1 4
10 4
2 4 3
4 0 4
0 3 0
4 1 4
4 4 4
3 2 0
3 3 1
3 0 3
0 0 4
0 0 2
10 5
0 2 2
0 1 0
2 1 0
2 0 2
1 2 2
2 2 0
1 1 2
1 2 1
0 0 1
2 2 2
10 5
2 3 1
0 0 0
3 2 4
5 0 4
3 5 1
2 5 4
5 4 5
5 5 2
5 2 0
0 2 4
10 2
2 1 4
2 1 2
2 0 0
2 0 4
2 2 3
1 1 3
4 0 1
1 3 0
3 1 3
4 1 0
10 4
2 0 2
1 0 0
1 0 2
0 0 0
2 1 2
2 1 1
0 1 1
2 2 1
1 0 1
2 2 0
10 2
2 4 2
4 2 4
1 3 4
1 4 3
2 1 1
1 3 3
4 4 2
2 2 0
1 3 2
1 4 1
10 7
2 4 2
1 3 1
1 1 4
4 1 0
4 1 3
3 0 2
1 0 4
0 2 4
3 4 1
4 2 1
10 5
4 0 2
0 1 1
2 3 4
2 1 3
3 1 3
4 1 2
3 0 4
1 1 0
0 3 0
1 0 4
10 3
1 0 0
3 3 0
3 1 3
1 1 2
0 1 1
0 5 0
3 5 2
3 4 0
3 5 0
4 4 0
10 4
3 5 2
0 3 2
1 2 3
4 1 4
2 0 5
4 1 2
5 0 0
3 0 1
1 1 3
1 3 2
10 3
4 1 2
0 2 3
3 2 1
2 0 0
3 0 0
2 0 2
4 1 4
4 1 3
1 3 1
1 3 2
10 6
4 2 1
5 3 5
1 2 4
4 0 3
1 5 5
5 5 5
3 4 0
1 0 5
0 0 2
4 5 1
10 8
3 0 3
3 1 3
0 2 0
1 2 2
2 1 0
1 2 1
3 0 1
3 1 1
2 3 3
1 2 3
10 9
3 2 3
0 0 3
2 2 3
3 3 0
2 2 1
0 1 2
0 0 1
1 0 0
1 2 0
3 3 3
10 9
2 1 1
1 1 0
0 0 0
1 0 1
0 1 2
2 0 1
1 1 2
2 1 2
1 2 2
0 2 2
10 5
0 2 1
3 3 1
3 0 0
0 3 0
2 3 0
2 2 0
2 1 3
3 3 3
2 2 1
0 0 3
10 8
1 2 2
1 1 0
1 2 1
1 1 1
2 2 0
1 2 0
2 0 0
0 2 0
0 1 1
2 1 1
10 4
2 0 3
5 3 1
0 3 2
0 0 2
1 3 1
2 1 4
4 4 3
1 0 3
1 2 1
5 1 0
10 3
1 2 3
0 2 3
2 3 3
2 0 1
3 3 2
3 3 0
1 0 3
3 3 3
2 3 0
1 0 1
10 2
1 3 3
1 3 1
0 2 0
3 1 0
1 3 0
0 0 0
0 2 1
2 0 0
0 0 3
3 0 0
10 4
4 1 1
5 0 1
3 4 4
4 5 4
1 5 0
5 5 0
4 2 0
1 5 2
3 2 2
0 2 1
10 8
2 4 4
5 5 3
4 5 2
2 0 0
3 0 2
3 4 1
2 2 1
1 4 2
2 1 4
3 5 0
10 6
1 1 0
3 1 1
2 1 1
3 3 1
2 1 2
2 3 2
3 1 0
3 0 0
3 3 2
1 3 2
10 4
3 4 3
2 3 3
2 2 5
3 4 4
1 3 5
4 4 3
1 0 4
0 4 4
1 1 5
2 4 0
10 4
0 1 1
3 1 1
2 2 1
3 2 3
1 0 0
0 2 0
2 1 0
1 0 2
2 2 0
2 0 2
10 6
1 1 2
2 1 0
1 2 1
1 2 2
1 0 0
0 0 1
1 0 2
0 0 2
2 2 2
2 0 0
10 2
4 0 3
3 4 3
3 4 4
2 4 3
3 1 4
0 3 4
3 0 0
4 1 4
3 2 4
3 3 2
10 7
1 3 0
1 1 0
2 0 3
3 3 0
2 1 1
0 3 1
1 1 3
0 0 2
3 1 3
3 2 3
10 8
0 0 3
2 4 2
3 3 4
0 4 4
3 0 4
3 2 1
2 2 4
4 3 4
3 2 2
2 1 0
10 3
1 3 0
3 2 1
1 1 1
0 3 3
1 0 2
1 3 2
0 2 2
1 2 2
3 2 2
1 2 1
10 3
3 1 2
2 3 4
4 4 0
4 2 0
0 1 4
4 3 3
1 1 3
1 3 0
1 1 4
1 4 3
10 2
2 0 0
0 0 2
2 3 1
2 3 3
1 2 2
3 2 3
3 3 2
3 1 1
0 2 1
0 3 3
10 6
0 5 5
2 3 4
2 4 1
0 1 0
4 5 4
4 4 4
2 5 3
2 1 0
3 1 0
3 2 3
10 3
4 1 0
3 0 4
0 3 0
2 3 0
2 0 3
1 1 3
1 0 4
2 1 2
2 0 2
2 2 4
10 5
0 1 3
1 3 1
3 3 0
2 2 3
1 3 0
0 0 2
3 1 1
1 1 0
3 3 1
2 3 1
10 4
0 2 2
3 1 4
4 3 1
1 4 4
3 1 0
3 4 2
3 4 3
2 0 3
2 3 1
1 1 1
10 4
0 1 0
4 0 3
5 4 1
5 4 0
4 3 5
4 1 1
2 3 5
1 3 1
5 0 5
5 4 5
10 9
2 0 1
2 1 0
2 1 2
0 0 2
1 2 1
1 2 2
2 0 0
0 2 0
1 0 0
0 2 2
10 2
4 0 1
0 2 1
4 4 2
5 1 2
5 1 1
4 3 0
3 2 5
0 4 0
4 3 3
2 4 5
10 8
0 1 0
1 1 2
3 4 4
1 5 4
0 5 0
4 4 5
2 3 4
4 3 0
2 4 5
5 0 1
10 8
1 1 3
3 3 3
1 0 3
2 2 3
2 3 0
3 1 1
0 3 2
2 0 3
3 3 2
2 1 3
10 2
0 3 1
2 0 1
3 0 0
1 3 3
1 1 3
3 0 2
3 1 0
2 0 2
1 2 3
3 2 3
10 9
1 2 2
2 2 1
0 0 2
2 0 2
0 0 0
1 0 1
0 2 2
0 2 1
1 1 1
1 0 2
10 8
3 0 4
1 0 4
4 2 3
1 3 4
3 3 0
4 4 4
3 4 0
2 2 1
4 2 4
0 1 2
10 9
2 4 3
3 3 0
5 3 0
4 1 2
4 2 0
2 3 4
3 5 4
5 4 3
3 1 2
0 5 5
10 3
4 4 3
2 3 3
3 0 1
1 1 0
0 2 2
4 2 1
0 1 1
3 4 1
4 3 2
0 0 4
10 3
1 0 1
0 0 2
0 0 1
1 0 2
1 1 2
1 2 2
2 1 2
2 1 1
0 1 2
1 1 1
10 9
1 1 1
1 3 0
1 2 1
1 1 2
2 0 0
3 1 0
1 0 0
1 1 3
3 3 2
2 1 1
10 8
0 0 0
1 0 2
2 1 1
0 2 0
2 1 2
0 0 1
2 1 0
1 2 2
2 2 1
0 1 2
10 8
2 1 4
3 2 0
2 0 1
2 4 4
0 2 0
4 3 3
3 0 3
4 1 3
2 1 3
0 1 2
10 3
0 5 3
4 3 0
3 3 5
3 1 1
0 2 2
1 1 0
0 1 0
3 0 4
0 0 3
5 1 3
10 5
0 5 1
1 2 3
5 1 3
3 0 0
2 5 0
0 0 4
5 5 2
5 1 4
5 0 5
2 3 3
10 4
1 0 2
2 2 1
0 2 2
0 2 0
0 0 2
2 0 0
2 0 1
1 0 0
2 1 0
2 0 2
10 5
0 2 0
1 0 1
0 2 2
2 0 2
0 1 1
0 0 0
2 0 1
2 2 0
2 1 2
1 0 0
10 8
2 1 3
0 3 1
1 4 4
1 2 2
2 1 0
2 4 0
0 4 1
0 0 0
3 1 2
4 0 0
10 8
1 2 4
1 4 3
3 2 2
4 4 0
0 2 4
4 0 2
5 1 4
2 1 5
4 5 1
3 3 0
10 6
0 4 1
4 5 3
2 2 4
0 2 0
2 3 5
0 4 2
4 1 3
5 0 3
1 1 1
4 0 2
10 3
2 1 0
0 2 1
1 2 2
1 1 0
0 1 1
1 2 1
2 1 1
1 0 2
0 0 2
0 1 0
10 6
2 1 4
1 4 4
5 4 5
2 1 0
2 5 3
5 5 0
5 1 5
5 1 0
1 0 0
5 1 4
10 7
0 0 2
2 0 1
0 1 3
5 5 0
1 0 2
4 0 4
0 5 1
1 5 0
1 2 5
1 0 1
10 4
0 1 0
0 2 2
0 0 2
1 2 1
1 1 0
1 1 2
2 0 2
2 0 1
0 0 0
1 2 0
10 7
0 3 2
2 1 2
2 0 1
2 2 3
0 0 3
1 4 3
3 2 3
1 1 4
1 0 1
0 1 0
10 2
1 3 1
1 2 3
3 0 3
3 2 2
3 3 1
3 1 1
3 2 0
2 0 2
2 1 2
4 2 0
10 6
2 0 2
0 1 2
1 0 1
1 1 1
2 2 1
2 0 1
0 1 0
1 1 2
0 2 0
2 0 0
10 4
3 2 0
4 2 1
0 2 1
1 1 5
0 4 4
1 3 2
1 2 5
2 5 4
0 3 4
3 3 2
10 5
5 5 2
5 5 4
5 2 1
4 1 4
4 1 0
1 2 2
0 1 3
4 2 5
3 2 0
5 5 1
10 7
4 0 0
1 4 4
1 1 3
3 0 0
3 0 4
0 2 1
0 4 3
1 1 2
2 1 4
3 0 3
10 4
0 2 2
2 1 1
2 0 2
2 2 0
1 1 2
1 2 2
2 0 1
0 1 0
2 2 2
1 1 0
10 3
3 1 3
2 0 0
2 2 1
2 1 1
2 2 3
2 1 4
2 0 3
3 4 3
3 3 4
3 0 4
10 8
1 1 1
0 1 3
1 0 0
0 0 3
2 2 2
0 1 2
0 3 1
1 2 1
0 2 3
0 2 0
10 2
1 0 4
1 1 1
0 2 2
0 2 3
4 1 4
2 4 1
2 0 4
0 0 4
3 4 4
4 4 0
10 7
3 0 2
4 2 4
4 3 2
0 4 0
3 1 5
2 4 2
0 4 4
1 4 3
3 4 5
5 2 0
10 5
2 3 0
1 1 2
4 4 0
0 0 0
0 1 2
0 1 0
1 4 2
1 1 0
4 0 2
4 3 2
10 3
3 2 1
1 4 4
3 0 3
2 4 0
3 4 0
0 0 3
2 2 2
2 0 1
2 2 3
0 2 3
10 7
1 1 1
0 1 2
1 2 1
2 1 1
2 0 1
1 2 0
1 0 2
0 1 0
2 0 2
0 2 0
10 6
2 1 1
1 2 2
0 2 1
0 0 1
2 0 1
0 1 1
1 1 2
2 2 1
2 1 0
0 0 2
10 2
0 2 2
2 4 3
2 3 3
4 0 1
2 2 4
2 0 3
4 0 4
1 1 0
4 2 1
2 3 1
10 9
0 2 1
3 4 3
0 0 2
4 0 3
4 2 2
3 4 2
1 3 0
1 1 1
4 0 0
4 4 1
10 4
0 0 0
1 3 3
1 1 2
2 0 1
2 0 0
2 2 3
1 2 2
3 1 0
3 2 3
0 1 2
10 5
4 3 1
0 4 0
2 4 0
2 1 1
2 0 1
3 3 2
3 3 1
3 4 4
1 0 0
2 4 1
10 4
5 3 0
4 0 5
1 3 1
5 5 3
5 3 4
2 3 4
5 1 4
3 3 5
3 3 0
4 3 5
10 2
2 1 2
1 1 0
2 2 2
1 0 0
2 0 2
2 2 0
2 0 0
1 0 2
0 1 1
0 2 0
10 6
2 0 1
3 3 1
2 2 3
1 3 0
0 4 2
4 4 2
1 4 3
1 0 0
2 2 4
1 1 1
10 4
2 2 1
1 1 2
0 2 1
2 1 2
0 0 1
1 2 0
2 1 0
1 1 1
0 1 0
2 0 1
10 8
2 3 0
1 1 2
1 1 0
3 0 0
0 2 2
0 2 0
0 3 3
0 3 2
2 1 3
2 3 1
10 3
2 1 2
1 1 2
2 2 2
2 1 0
1 1 0
1 0 1
2 0 2
0 0 0
0 1 0
0 1 2
10 5
2 0 4
0 1 4
4 4 3
1 0 0
1 0 2
4 0 2
1 3 1
0 2 1
4 0 0
3 3 3
10 9
0 1 2
2 0 0
0 0 0
2 1 1
2 2 2
0 2 1
2 2 0
2 1 2
1 0 1
1 1 0
10 7
2 1 1
0 2 0
2 1 2
0 0 0
0 2 1
1 2 0
0 1 0
1 2 2
2 1 0
1 0 0
10 8
0 1 2
0 2 1
1 2 1
2 0 2
2 0 1
2 0 0
1 0 2
1 0 1
1 1 2
0 1 1
10 2
3 0 1
0 0 4
2 0 2
1 0 2
3 2 0
2 3 4
4 1 0
0 1 1
0 4 4
1 3 0
10 2
0 2 2
2 1 1
2 1 0
2 2 0
2 2 1
1 2 2
2 0 0
0 0 2
0 1 2
1 1 1
10 5
1 1 1
4 1 4
5 3 0
3 5 2
0 2 0
2 3 5
4 1 5
3 4 2
0 4 3
2 3 0
10 9
0 2 1
1 1 1
2 2 1
1 0 2
1 2 1
1 1 2
1 2 0
0 1 0
1 0 0
2 0 0
10 9
2 3 3
0 1 1
3 3 0
3 1 0
1 2 3
2 3 1
3 2 1
3 3 2
3 0 2
0 1 2
10 5
5 2 5
5 1 1
5 4 2
0 5 4
0 3 0
2 0 5
0 3 5
1 3 5
5 2 2
3 1 0
10 3
2 3 3
1 4 0
2 5 5
0 1 2
3 5 0
3 0 5
5 0 4
3 1 2
1 1 4
5 2 2
10 3
2 0 2
1 0 0
1 2 1
0 1 0
0 2 0
0 0 2
0 0 1
2 1 2
2 2 0
0 2 1
10 4
4 1 1
2 1 2
1 3 2
2 1 1
0 1 0
0 2 0
3 0 2
3 1 3
3 3 2
3 4 1
10 3
2 2 4
4 4 0
1 1 3
0 2 4
1 3 0
4 0 0
2 1 2
0 4 1
2 4 0
1 1 0
10 2
1 4 1
0 4 3
3 3 4
3 0 1
3 2 2
0 2 4
4 4 4
2 1 3
1 2 2
1 2 1
10 4
0 1 1
0 0 2
1 0 1
2 0 0
1 2 0
1 1 1
1 2 2
1 1 2
0 0 0
2 1 1
10 7
3 0 2
1 5 0
2 0 3
1 0 4
3 3 1
3 4 4
5 2 3
5 5 2
5 4 4
0 1 4
10 5
0 1 1
5 4 0
5 5 2
2 5 3
0 1 2
0 2 3
0 0 5
3 1 1
5 3 1
4 0 4
10 4
5 1 0
1 1 0
2 2 2
0 2 0
1 0 1
2 2 1
1 0 3
1 1 3
4 0 0
5 1 4
10 8
2 4 4
0 1 0
0 1 3
1 3 3
0 0 4
1 2 2
4 3 2
1 4 1
4 1 4
2 1 0
10 9
0 3 1
1 0 0
1 3 0
2 1 0
2 0 2
0 1 2
2 3 1
2 2 0
3 0 0
1 3 3
10 9
3 3 4
5 5 2
1 2 1
2 4 0
2 2 1
2 3 4
0 5 3
2 0 1
2 4 5
3 2 4
10 3
1 1 4
4 1 1
4 1 2
1 4 2
2 2 4
4 3 1
3 0 0
4 4 2
3 3 1
0 2 2
10 2
4 5 0
5 1 1
0 2 3
5 4 2
5 4 3
1 1 2
5 2 1
4 0 2
0 3 0
1 5 4
10 6
1 1 2
0 5 1
0 2 0
1 1 0
5 2 2
3 3 1
4 3 1
3 0 1
1 3 4
1 4 2
10 3
2 2 1
2 1 2
0 3 1
0 2 2
3 0 0
2 3 1
3 2 2
0 1 1
2 0 3
1 2 2
10 7
1 2 2
2 2 0
1 2 1
0 2 1
2 0 0
0 0 2
1 1 0
0 1 1
0 0 0
1 1 2
10 9
2 0 2
2 2 1
0 2 1
1 0 1
0 0 0
1 1 1
1 0 2
0 2 0
0 0 1
2 1 0
10 2
0 1 1
1 1 1
2 0 1
0 0 0
2 1 0
0 2 1
1 0 0
0 1 2
0 2 2
1 2 1
10 2
1 2 3
1 2 1
3 3 1
2 1 2
1 3 2
2 0 0
2 0 1
1 1 2
3 3 3
2 3 1
10 2
2 0 0
0 1 1
2 2 1
1 2 2
1 2 0
2 0 2
0 2 0
0 0 2
1 1 2
2 2 2
10 7
3 1 0
5 0 4
3 1 3
2 0 5
2 0 0
5 4 4
3 4 5
3 5 2
1 4 3
1 4 1
10 7
2 2 1
2 2 0
0 0 0
1 1 0
0 1 2
2 0 0
2 0 2
0 0 2
0 2 1
1 2 0
10 5
2 0 4
1 0 3
3 2 4
0 1 3
3 1 3
3 4 0
3 0 1
4 2 4
3 4 3
0 3 1
10 8
2 1 2
2 0 1
1 1 2
2 0 0
2 1 1
0 1 2
0 0 2
2 2 1
1 0 0
2 2 0
10 8
1 3 0
1 1 3
3 1 0
3 0 0
3 0 2
0 3 3
2 2 1
2 2 0
1 3 2
0 2 2
10 4
2 0 2
1 0 2
1 2 0
2 2 2
1 2 1
2 0 0
2 1 2
0 1 2
2 0 1
0 1 0
10 9
2 1 0
0 2 1
2 1 1
2 0 2
3 3 0
2 0 1
2 3 0
1 3 1
3 2 1
0 0 3
10 4
2 0 2
2 2 0
2 1 0
0 0 1
2 0 1
1 0 2
1 1 2
0 2 1
1 2 0
2 2 2
10 9
2 0 2
2 2 3
0 0 0
0 0 2
1 1 0
0 0 3
1 3 1
2 1 2
1 0 0
0 0 1
10 9
2 2 1
1 3 2
2 3 0
3 3 0
1 1 0
3 2 1
0 0 1
3 3 3
0 1 2
0 2 0
10 8
0 2 3
3 2 2
3 3 0
0 3 2
0 3 3
1 0 2
2 1 1
0 2 1
3 1 3
3 2 1
10 2
2 2 2
1 1 1
2 1 2
1 0 2
1 2 2
0 1 2
2 0 0
2 1 0
0 2 2
0 2 1
10 8
0 0 3
1 1 2
2 1 1
3 0 4
4 2 0
1 4 3
1 3 4
2 1 2
3 2 0
1 4 4
10 6
4 0 4
1 4 2
3 3 3
4 3 3
0 3 0
4 3 4
3 2 0
2 1 2
1 2 4
3 2 1
10 5
1 1 2
0 1 0
0 0 2
2 2 1
2 0 1
1 2 0
1 2 1
0 1 1
1 0 1
0 2 0
10 7
2 3 1
2 1 1
2 0 2
0 1 1
2 0 0
3 2 2
0 2 3
0 0 2
0 0 3
1 2 1
10 7
1 1 1
0 0 4
1 2 0
3 3 0
3 0 3
2 5 5
5 5 1
4 1 3
1 2 2
0 0 2
10 9
5 3 1
5 2 0
4 3 1
4 2 4
4 2 2
3 0 0
3 2 4
1 0 2
1 0 0
5 4 2
10 2
1 1 0
1 0 2
2 2 2
2 2 0
0 1 1
1 2 2
2 2 1
0 1 2
1 0 0
0 1 0
10 8
2 3 1
4 4 0
5 1 1
3 1 5
5 0 4
2 5 0
2 2 5
2 2 0
5 4 0
1 3 5
10 7
0 3 2
0 3 0
0 0 2
2 0 0
3 3 2
0 1 1
2 1 2
1 2 3
2 3 1
3 1 1
10 2
2 0 1
1 0 2
2 1 2
0 2 2
1 2 1
1 1 1
2 0 0
1 1 2
1 1 0
2 0 2
10 3
0 4 5
3 1 3
0 0 1
5 4 2
4 2 2
4 1 1
3 5 1
2 4 2
2 2 2
3 2 0
10 4
1 2 1
2 2 2
0 2 0
2 1 1
1 2 2
1 1 1
0 1 2
2 2 1
2 1 2
1 0 1
10 9
3 4 2
3 0 1
2 5 2
0 4 5
2 5 1
2 4 1
4 2 0
2 0 2
0 5 3
1 0 1
10 6
3 2 0
0 1 3
2 2 3
1 3 3
3 1 2
1 0 0
3 0 0
0 0 1
0 3 1
2 1 2
10 9
0 1 1
3 2 2
3 0 5
1 3 4
0 5 1
1 1 3
1 0 4
3 0 4
5 3 2
3 4 2
10 3
1 1 1
1 4 3
0 4 3
3 4 1
0 4 0
4 1 0
3 2 2
1 0 1
3 4 2
2 3 0
10 5
2 1 1
0 3 1
1 2 3
2 2 4
0 2 1
1 4 0
4 0 1
0 0 1
2 3 1
3 2 1
10 7
2 3 1
5 1 3
5 0 4
3 4 1
5 4 4
4 3 0
0 4 4
4 4 4
4 4 5
4 5 0
10 7
3 1 1
0 2 1
1 0 2
2 2 0
0 3 0
0 1 4
0 3 2
3 0 0
0 0 3
1 2 3
10 5
1 2 0
2 0 0
0 1 1
0 1 2
2 0 1
2 0 2
2 1 2
1 0 1
1 2 1
0 0 2
10 7
2 1 0
0 1 1
1 0 1
1 1 2
1 2 1
2 1 2
2 0 2
0 0 0
2 0 1
2 2 0
10 4
1 4 2
1 3 4
2 3 1
2 2 3
4 2 4
1 3 2
3 1 4
3 0 0
1 0 2
4 3 2
10 5
0 0 1
1 0 2
2 2 2
1 0 0
1 1 2
2 1 2
1 1 0
1 2 1
2 0 0
1 2 0
10 8
1 0 1
0 0 0
0 2 3
0 3 2
1 0 3
3 1 1
2 0 3
1 1 0
3 0 3
0 2 1
10 2
0 0 0
2 0 0
2 2 2
0 1 0
2 1 2
0 1 2
1 1 0
0 2 2
2 1 1
1 2 1
10 4
1 2 0
1 1 2
1 1 1
0 2 0
1 0 2
2 0 2
2 1 2
0 1 0
2 2 1
1 2 2
10 5
2 2 4
0 1 3
1 1 1
3 1 3
2 0 0
1 0 1
3 0 1
2 3 2
2 3 4
1 3 0
10 7
2 2 2
2 1 0
0 1 2
0 0 2
1 2 0
1 1 0
0 0 1
2 2 0
1 2 1
0 0 0
10 7
1 3 1
0 3 2
0 3 0
1 1 2
1 0 1
0 0 1
1 1 0
3 2 3
0 3 3
2 3 2
10 7
3 2 2
1 4 4
0 3 0
2 1 0
0 0 4
2 1 1
2 2 1
3 3 3
2 4 2
0 3 4
10 2
2 3 1
3 0 1
0 0 3
0 2 3
0 4 2
1 0 4
4 2 3
0 1 3
3 2 2
1 2 2
10 9
2 1 2
1 3 2
4 3 3
0 0 0
3 2 1
4 0 2
1 2 1
2 0 3
4 0 0
0 2 1
10 2
2 4 0
5 3 3
0 5 3
1 4 5
2 0 5
0 2 4
4 0 3
5 1 0
5 2 0
0 4 1
10 6
2 3 3
0 2 0
4 4 4
3 2 0
4 0 0
0 1 3
0 3 2
3 2 3
2 3 4
0 1 4
10 6
0 0 3
4 0 0
1 3 2
1 4 0
3 1 3
1 1 4
0 1 3
1 4 1
2 0 3
2 0 0
10 2
0 1 0
0 2 0
0 2 2
1 2 2
2 0 0
1 0 2
0 1 2
1 1 1
1 1 2
2 1 0
10 9
1 4 5
4 4 0
1 3 3
3 5 5
3 3 0
1 1 4
3 2 2
4 5 5
1 1 2
1 2 2
10 3
1 5 0
0 0 2
2 4 3
4 5 3
4 5 2
2 1 5
2 0 4
1 0 0
5 1 0
4 3 1
10 2
1 3 3
5 5 0
0 0 5
3 4 5
2 1 1
3 0 5
4 0 3
0 4 0
3 5 2
5 0 1
10 7
0 1 0
0 2 1
0 0 2
2 2 1
0 0 1
2 0 1
1 2 0
1 2 1
1 1 2
2 1 1
10 6
0 2 2
1 0 1
1 0 2
1 2 0
2 0 1
0 1 0
2 1 0
0 1 1
0 1 2
2 2 2
10 2
4 3 1
0 0 4
4 2 4
4 0 4
2 3 0
0 3 1
2 2 3
2 0 0
2 3 3
4 1 1
10 7
3 0 4
0 1 3
2 4 0
1 4 2
2 2 3
4 4 0
3 1 3
0 4 0
4 0 2
4 2 3
10 8
1 0 2
1 0 4
1 0 1
4 4 3
4 3 0
4 0 2
3 1 2
2 1 4
0 1 0
1 4 3
10 7
3 1 0
1 2 1
3 0 3
3 2 3
2 1 1
2 1 2
1 4 3
4 4 4
1 4 2
2 2 4
10 5
4 0 4
3 2 1
5 1 5
4 4 5
1 4 2
2 5 0
4 1 5
1 4 5
0 4 4
1 0 5
10 3
2 0 2
1 2 0
3 3 2
3 3 1
1 3 0
3 1 3
3 0 3
1 0 1
3 0 0
1 2 2
10 8
0 1 2
0 2 1
1 0 2
2 3 2
2 1 1
0 1 3
1 3 2
2 3 3
2 0 3
1 1 2
10 4
2 3 1
0 0 1
2 1 0
3 1 2
1 1 3
0 1 0
1 1 2
1 2 2
0 2 0
1 3 0
10 5
0 3 2
2 2 0
0 2 0
2 3 0
3 1 3
0 0 2
3 3 3
0 0 1
0 1 0
1 0 2
10 5
1 4 2
3 1 4
1 1 4
2 0 3
2 4 1
3 1 2
2 0 2
4 3 3
2 0 4
2 1 0
10 6
5 5 3
3 4 0
5 1 2
5 3 1
2 4 4
2 3 3
5 3 5
0 2 1
0 2 0
1 2 2
10 9
0 0 2
2 0 2
1 0 0
0 2 2
1 2 2
2 1 0
0 1 2
2 0 0
0 0 0
0 2 1
10 7
3 4 0
0 0 4
0 1 4
1 2 4
2 1 5
3 0 0
1 5 3
3 4 2
0 0 0
0 4 1
10 8
4 3 3
4 3 2
2 0 4
4 2 0
2 3 3
0 0 4
2 1 4
3 2 4
3 3 3
0 4 2
10 7
2 3 0
2 1 2
2 4 3
0 3 4
0 0 1
4 0 0
3 3 3
4 3 1
2 4 1
3 3 1
10 3
2 0 3
2 1 4
4 2 1
2 5 2
1 1 5
1 3 3
2 3 2
2 1 5
1 5 2
5 1 1
10 9
0 2 0
0 2 2
0 1 1
1 2 1
1 1 0
2 2 1
0 1 2
1 0 0
1 2 0
2 0 1
10 9
0 2 0
1 0 2
0 1 2
0 0 0
2 0 2
0 1 1
2 1 2
2 1 0
1 2 1
2 2 1
10 8
1 0 1
1 2 0
2 1 0
3 0 3
1 3 1
3 3 2
1 1 1
2 2 1
1 2 3
2 0 2
10 3
2 0 2
5 5 2
5 4 3
0 0 4
0 2 3
5 0 4
2 5 3
2 3 1
0 4 2
1 3 1
10 5
3 3 1
3 3 0
1 1 0
1 2 1
3 2 0
0 3 0
1 2 2
1 3 3
2 2 3
2 3 3
10 4
2 1 2
2 1 1
0 2 2
0 0 2
2 0 1
1 1 1
1 1 0
2 0 2
2 0 0
0 1 0
10 7
1 1 0
3 1 0
1 0 4
1 4 1
4 0 2
3 2 2
1 4 4
2 3 2
4 0 3
4 1 4
10 2
4 3 4
2 4 0
4 2 0
4 0 1
3 4 1
0 3 2
1 4 4
4 1 1
3 0 2
4 1 3
10 4
2 1 3
2 1 0
2 1 1
1 1 3
0 3 2
0 1 2
3 0 1
3 3 2
3 3 0
1 0 2
10 5
2 0 2
3 3 0
3 2 3
2 3 0
2 1 1
0 2 0
1 1 2
0 3 3
0 2 2
2 3 1
10 8
0 4 2
4 4 0
4 2 0
4 1 0
4 3 2
1 0 4
0 0 2
2 0 1
2 1 1
0 3 4
10 4
0 0 2
1 3 1
0 1 3
2 2 2
1 2 0
0 0 0
3 1 1
1 3 2
2 1 0
1 1 1
10 8
2 3 2
0 4 2
1 3 3
3 4 1
2 2 3
1 4 2
1 0 1
0 1 1
1 1 0
1 4 0
10 4
5 1 4
3 5 5
5 2 4
1 5 1
2 2 0
4 0 4
4 3 1
5 3 3
0 2 2
2 4 1
10 7
0 1 2
0 0 1
1 2 2
2 0 1
2 1 2
0 0 2
2 1 1
1 2 1
1 0 0
0 1 0
10 4
2 1 3
3 2 3
3 2 2
3 1 2
0 3 1
1 0 2
1 1 2
3 0 0
2 3 1
2 2 3
10 9
2 4 4
0 1 0
2 1 3
3 2 4
3 4 0
0 2 4
4 4 2
2 3 1
4 0 1
4 3 4
10 8
4 5 4
0 1 1
0 0 5
0 5 2
2 2 1
2 4 0
4 3 5
0 4 2
5 1 0
2 3 4
10 4
1 0 1
1 0 2
2 2 0
0 0 1
2 1 1
2 2 2
2 1 0
1 2 2
2 1 2
2 0 2
10 8
3 4 3
3 2 4
1 1 4
2 4 4
1 0 0
0 3 0
0 1 0
1 1 3
2 3 4
2 1 1
10 7
2 3 2
4 3 5
5 0 1
5 0 2
5 4 0
0 3 0
2 0 2
5 4 4
1 2 1
3 0 0
10 4
5 0 0
1 3 0
1 4 2
4 4 5
4 0 2
2 0 3
1 3 3
5 3 3
0 4 2
2 3 1
10 9
3 1 3
4 0 3
2 4 2
0 0 1
3 3 3
2 3 2
1 0 4
4 4 4
1 1 0
2 4 1
10 2
0 2 2
2 1 1
0 2 1
0 2 0
1 1 0
2 0 1
2 2 1
1 1 1
2 1 0
2 2 2
10 3
2 0 3
3 3 3
1 0 3
1 1 2
1 2 0
0 3 1
2 1 0
2 1 1
1 0 2
2 3 2
10 8
0 2 5
2 5 3
4 5 3
1 2 3
4 2 5
4 4 0
2 1 3
1 1 2
2 2 0
3 1 5
10 8
1 2 1
4 5 5
4 1 1
3 1 3
5 5 5
4 4 3
4 5 0
1 1 1
5 2 1
4 5 4
10 4
3 3 3
1 3 3
0 1 3
1 1 3
3 1 3
3 1 0
3 3 2
2 3 3
3 0 1
1 0 1
10 4
2 3 2
3 1 2
0 2 0
2 0 3
3 0 3
1 2 3
3 2 2
3 3 1
0 0 1
3 3 2
10 6
1 2 1
1 0 1
2 1 0
2 0 2
0 0 2
0 2 2
1 2 0
2 0 0
1 1 1
0 1 2
10 3
1 1 2
2 1 1
1 0 0
1 0 1
2 0 2
1 0 2
1 2 2
1 1 1
2 1 2
0 0 2
10 3
0 0 2
2 2 1
0 2 2
1 0 1
1 2 0
0 2 0
2 1 0
0 0 1
2 1 1
2 2 2
10 2
1 0 2
2 1 0
1 2 2
0 0 1
2 0 1
1 0 0
1 2 0
2 2 2
2 1 1
1 1 1
10 8
2 3 2
0 3 1
1 0 0
4 4 4
2 1 0
1 0 4
3 3 3
1 4 3
0 4 4
0 0 2
10 6
3 3 2
3 2 4
4 3 2
2 4 4
0 0 2
0 1 1
0 0 4
3 0 0
3 3 3
1 0 4
10 5
1 2 4
0 2 3
1 0 0
0 2 2
0 3 4
0 1 0
2 3 0
4 3 3
1 0 3
4 2 2
10 4
1 0 2
2 0 0
1 1 2
2 2 2
0 2 0
1 1 1
1 1 0
2 1 0
2 1 2
0 2 2
10 7
2 4 3
4 4 0
2 2 3
0 2 2
3 4 2
3 1 2
0 3 2
2 0 0
1 0 3
1 1 3
10 7
4 0 5
5 1 4
4 0 2
1 2 3
5 0 3
2 3 0
1 0 3
5 3 3
5 1 1
3 4 1
10 3
4 0 4
2 0 2
1 0 4
3 0 4
1 3 4
0 1 0
1 0 1
4 3 3
2 0 3
3 4 3
10 3
2 3 0
2 0 0
1 1 2
3 2 4
3 2 3
1 0 1
4 0 4
1 4 3
3 4 4
1 4 0
10 7
4 4 4
0 3 2
1 0 4
3 0 4
4 1 1
1 4 4
3 1 0
2 3 2
3 4 2
2 2 2
10 4
3 3 0
3 0 3
3 1 0
1 1 0
2 3 1
1 0 0
0 3 1
1 2 1
1 2 2
3 3 3
10 2
1 5 2
2 5 1
4 5 0
3 4 4
4 3 5
0 3 5
0 4 5
4 3 3
5 2 2
3 0 2
10 4
0 4 0
4 1 4
2 0 4
2 3 1
3 1 5
3 2 4
1 3 5
1 4 4
0 2 5
3 3 3
10 9
1 2 1
2 0 0
2 2 0
2 1 0
1 1 0
1 0 2
2 0 1
0 2 0
2 0 2
0 0 1
10 5
4 0 4
1 5 3
3 5 5
0 0 3
1 3 3
4 5 4
3 1 0
0 2 4
0 1 0
5 3 3
10 8
5 2 2
4 0 3
0 0 4
5 0 2
1 5 3
2 1 4
1 3 5
0 0 1
0 2 1
1 3 1
10 8
0 0 0
2 2 2
0 0 1
0 1 2
2 0 2
3 0 2
3 1 2
3 0 1
2 3 1
3 0 3
10 4
0 3 1
4 2 4
3 2 3
4 4 2
3 4 1
2 4 4
0 4 0
2 3 0
1 4 2
4 0 4
10 6
0 2 0
1 3 1
2 2 3
1 1 2
3 0 0
2 3 1
3 0 3
3 3 3
1 0 3
3 3 0
10 9
3 0 1
4 3 3
2 0 5
5 5 2
5 5 1
0 5 0
0 1 2
2 4 1
5 1 4
3 4 4
10 4
1 0 3
0 0 2
2 2 1
2 0 3
2 2 2
0 2 2
0 1 0
1 2 2
3 2 1
0 3 3
10 5
1 2 2
0 2 2
1 0 0
0 0 1
2 0 0
2 2 2
1 1 1
2 0 1
2 1 0
2 1 1
10 7
0 2 0
3 0 0
0 0 1
1 1 5
2 5 4
2 4 1
0 3 4
2 1 3
4 1 0
3 1 5
10 3
1 1 0
2 2 2
2 0 2
2 2 1
1 0 1
1 2 2
1 1 2
1 0 0
1 0 2
0 1 2
10 9
0 2 2
1 2 2
1 0 2
1 2 1
0 0 2
0 2 0
2 2 1
0 0 1
0 1 2
1 0 0
10 3
2 0 1
1 1 3
2 1 0
3 0 3
0 2 2
2 2 0
0 1 0
3 3 1
2 0 2
3 0 0
10 2
0 1 1
1 2 2
1 1 1
0 0 1
0 0 2
2 1 1
1 0 1
0 1 2
2 0 2
0 2 2
10 8
1 2 0
0 2 1
2 0 2
1 0 1
2 1 1
0 2 2
1 1 0
1 1 2
1 2 2
1 0 0
10 5
2 1 0
0 2 2
2 1 2
0 0 2
0 0 1
1 1 2
1 0 2
2 2 1
0 0 0
2 0 0
10 4
1 2 2
0 1 5
3 4 4
1 3 1
3 0 2
1 2 3
4 4 5
0 3 3
1 1 1
3 5 0
10 9
2 1 3
3 3 1
1 3 1
3 1 1
3 2 2
0 0 0
0 1 0
2 3 0
3 2 1
0 3 1
10 8
0 4 4
0 3 5
4 1 5
2 4 0
0 4 5
1 1 1
4 4 1
5 0 4
5 1 5
3 3 1
10 2
1 4 3
1 3 0
2 4 1
3 0 1
4 1 0
3 2 1
3 0 0
2 1 4
4 4 3
2 2 0
10 5
0 2 1
0 1 1
1 1 1
0 0 2
0 0 1
2 1 0
2 2 1
1 1 0
0 2 0
1 0 2
10 4
2 3 3
3 1 2
2 3 2
1 1 0
2 0 0
3 0 2
0 0 0
3 2 0
1 2 0
0 2 0
10 8
0 0 3
2 0 1
2 2 3
2 1 1
1 2 2
1 3 0
2 3 3
3 2 0
1 1 3
3 3 3
10 8
0 2 2
0 1 0
2 0 0
2 1 2
0 2 0
2 1 0
1 2 0
1 0 2
0 2 1
1 1 1
10 3
1 0 0
1 1 2
0 0 0
1 0 1
1 0 2
0 2 1
1 1 0
0 1 2
0 1 1
2 2 2
10 2
1 1 0
0 2 2
1 1 1
1 2 0
2 1 2
2 0 0
1 2 2
1 0 1
1 0 2
0 2 0
10 6
4 4 2
1 3 0
3 1 0
4 4 0
0 3 4
3 3 2
2 1 0
4 3 5
3 1 3
1 2 4
10 7
2 1 0
1 2 0
1 1 1
2 2 2
0 2 0
1 1 0
0 2 1
0 0 1
1 2 1
1 1 2
10 8
3 1 1
3 1 0
1 3 2
2 2 3
3 3 1
1 3 1
1 3 3
2 3 1
3 0 1
0 1 1
10 2
4 3 3
4 2 3
4 2 0
0 0 2
2 2 3
3 3 0
0 1 3
3 1 1
3 2 3
2 0 1
10 8
2 3 3
3 2 0
0 0 2
1 1 1
2 2 2
3 3 2
3 3 3
2 0 1
0 1 3
1 0 1
10 5
2 1 0
4 2 5
1 2 1
0 5 0
4 1 3
1 0 1
1 5 4
4 2 0
1 5 0
3 3 4
10 8
0 1 0
0 1 1
2 1 1
0 1 2
2 0 0
1 2 2
1 2 0
2 1 0
1 0 0
0 2 0
10 6
2 0 1
0 1 0
1 2 0
0 2 1
1 0 1
2 2 1
2 1 1
1 1 0
1 1 1
2 1 2
10 9
2 2 1
0 0 1
0 2 0
1 1 1
1 0 2
2 2 2
2 1 1
2 1 0
2 0 1
1 0 1
10 4
0 2 0
1 2 1
2 1 0
0 0 2
2 2 0
0 1 1
1 0 2
1 1 0
2 1 2
2 2 2
10 2
1 1 1
0 5 2
4 4 4
0 4 4
3 1 1
2 3 1
5 2 2
1 0 3
3 1 4
2 2 3
10 6
3 2 3
2 1 0
2 2 2
3 2 2
1 3 0
3 2 0
1 1 0
0 0 0
1 0 0
0 2 1
10 4
2 1 0
2 2 2
1 2 1
0 0 0
1 0 2
0 2 2
0 0 2
1 2 2
1 2 0
2 0 0
10 9
0 2 3
1 0 0
1 3 1
0 0 3
3 0 1
0 0 1
2 3 3
0 3 2
2 2 0
2 0 2
10 8
1 5 5
3 4 0
0 3 5
3 0 3
3 4 1
5 0 0
0 2 3
5 3 0
2 5 4
1 3 3
10 6
1 3 2
0 0 1
1 3 1
1 2 1
2 3 3
3 3 2
1 0 3
0 0 2
0 3 2
1 1 1
10 7
1 2 0
1 1 3
0 1 1
2 3 3
0 3 1
3 2 2
2 3 2
0 0 0
1 2 1
0 3 3
10 2
3 1 2
3 2 0
0 3 3
3 1 3
2 1 3
1 2 0
0 0 2
3 0 0
1 2 1
1 3 0
10 6
4 3 4
3 4 1
0 0 0
1 2 2
3 4 0
3 1 1
3 2 3
1 2 4
1 4 4
4 1 3
10 8
2 3 0
5 1 4
0 4 0
1 2 4
2 2 4
3 1 3
5 2 2
2 0 4
0 5 2
2 1 2
10 7
4 3 4
4 0 0
1 4 0
1 4 4
2 0 3
4 3 1
1 3 1
4 1 2
1 1 2
3 2 1
10 9
2 3 2
0 2 0
4 0 1
2 2 0
3 2 2
4 1 3
0 2 4
3 3 0
2 3 3
3 2 0
10 5
0 2 0
1 1 0
2 2 1
2 2 0
1 2 2
2 0 0
0 1 0
0 1 1
1 2 1
0 2 2
10 6
0 5 0
2 5 0
0 5 2
0 2 4
1 1 2
1 3 0
1 0 4
2 3 2
4 0 2
1 1 0
10 7
2 1 2
1 0 2
3 1 1
1 2 1
0 3 1
1 2 2
3 2 2
2 1 1
3 3 3
0 1 1
10 2
0 1 3
0 2 3
0 3 1
0 1 1
0 3 2
3 1 1
1 3 2
1 1 1
1 3 0
3 3 1
10 7
2 0 0
0 2 1
0 0 1
1 2 2
0 1 0
2 1 0
1 1 0
2 2 0
1 1 1
0 0 0
10 8
3 1 0
2 0 0
2 0 2
0 1 3
3 3 0
1 0 0
3 2 1
1 1 0
3 0 2
0 3 3
10 7
2 0 2
2 1 1
1 1 0
0 2 2
2 0 0
1 2 1
1 1 2
2 2 0
0 1 0
2 1 2
10 4
2 0 0
3 0 2
1 2 3
0 3 0
1 0 0
3 3 2
0 1 2
1 3 3
0 1 0
3 2 3
10 3
4 2 1
4 4 4
1 0 4
2 4 4
2 4 0
4 4 1
1 1 0
3 4 2
3 2 3
4 2 4
10 5
1 3 1
3 0 2
4 4 1
3 0 1
2 0 1
1 1 4
3 4 3
3 3 0
1 4 1
0 2 3
10 5
2 1 0
1 2 0
0 2 0
2 2 2
2 0 1
0 1 2
1 1 0
2 1 2
2 0 0
0 0 0
10 7
0 3 3
2 0 3
2 0 4
5 4 1
1 0 1
5 1 4
1 0 2
2 0 5
5 2 4
3 0 4
10 2
3 2 3
5 0 0
4 4 1
0 3 5
1 2 4
2 3 5
5 0 2
4 4 5
5 3 2
2 1 0
10 4
2 0 2
2 3 2
1 1 1
0 1 0
1 0 3
3 0 3
3 3 3
2 3 1
3 0 1
3 0 2
10 3
3 1 0
3 3 2
0 0 2
1 2 2
0 2 1
1 3 3
3 3 0
2 3 1
1 0 3
2 0 2
10 3
1 3 1
2 1 1
4 3 3
3 3 1
1 2 2
0 1 4
2 0 1
1 0 4
2 2 3
4 2 2
10 4
3 2 1
2 1 1
3 2 3
2 2 1
2 3 2
0 0 2
0 1 3
1 2 0
3 0 3
1 1 0
10 8
0 1 0
2 2 1
2 0 1
1 1 1
0 0 0
2 1 0
0 0 1
1 2 0
1 2 1
0 2 2
10 8
1 1 1
1 0 2
0 2 1
0 1 0
1 1 2
0 2 0
2 1 1
2 0 0
2 2 0
1 2 0
10 5
2 2 0
0 1 0
1 1 2
2 1 2
2 1 0
0 2 2
1 2 2
2 0 0
0 1 2
1 0 2
10 6
3 2 0
3 2 1
3 0 2
2 1 1
1 0 0
3 1 2
0 0 3
1 3 0
0 0 1
0 1 2
10 2
4 2 0
1 0 0
2 2 0
1 0 3
4 0 0
3 4 4
1 4 2
4 3 1
1 3 2
4 3 4
10 8
4 4 1
5 3 2
4 3 3
3 0 3
5 0 0
2 4 5
2 3 4
4 5 1
2 0 1
5 4 4
10 8
2 0 2
0 1 0
2 2 2
0 2 0
1 0 1
0 2 2
1 1 0
2 1 1
2 0 1
2 0 0
10 2
2 3 4
2 2 0
2 1 3
4 4 2
0 2 3
2 4 3
2 3 2
4 3 2
0 4 4
1 1 2
10 3
0 1 3
3 0 3
3 0 2
4 0 3
2 1 3
0 1 4
1 4 0
1 4 2
1 0 4
3 1 4
10 4
1 0 1
0 2 0
1 0 2
1 2 3
0 2 1
3 3 2
2 0 1
2 3 2
0 0 2
2 2 2
10 8
1 2 0
1 0 0
0 2 1
2 2 2
1 2 2
0 0 0
2 2 1
0 1 1
1 1 1
1 0 2
10 4
3 3 2
1 3 2
0 2 0
1 3 1
0 2 3
2 3 0
0 3 1
1 2 3
1 2 2
2 2 0
10 2
1 0 0
0 0 2
1 1 0
0 2 2
1 0 1
0 2 0
2 0 0
2 1 2
0 1 1
1 2 0
10 7
0 1 0
0 0 1
1 0 1
0 1 1
0 2 1
2 1 1
1 2 1
1 1 1
1 2 2
2 0 2
10 7
2 2 0
0 0 0
1 0 2
1 1 2
2 0 0
2 1 2
0 2 0
2 0 2
0 1 0
0 2 2
10 4
1 1 2
1 0 1
2 2 0
2 0 2
1 2 2
1 0 0
0 2 1
1 1 1
2 2 2
2 1 2
10 9
0 3 2
3 0 1
3 2 3
1 0 3
3 3 1
3 0 2
1 2 0
2 0 1
2 2 2
0 1 1
10 3
3 3 5
1 1 4
5 2 1
0 2 1
1 2 4
5 2 4
5 4 4
2 5 3
5 3 2
1 1 1
10 9
1 3 0
0 1 0
1 1 3
3 2 1
0 1 1
3 1 3
3 0 0
0 0 2
2 3 3
2 2 0
10 6
0 0 1
1 0 1
4 1 1
4 5 4
4 1 0
5 1 2
0 5 1
3 0 0
5 0 1
3 3 5
10 9
0 1 2
2 3 1
0 0 2
2 0 3
3 3 2
3 3 3
3 1 3
1 0 0
1 3 2
3 0 2
10 2
2 5 1
3 3 1
4 1 4
5 2 2
1 4 3
2 5 2
5 4 1
2 3 0
3 0 3
1 5 2
10 2
1 1 0
1 1 1
1 2 2
2 1 2
0 0 0
2 2 0
0 0 1
0 0 2
2 2 2
1 2 0
10 8
1 2 2
0 1 1
0 0 1
1 1 0
1 2 1
1 1 1
1 2 0
1 0 0
1 1 2
0 1 0
10 5
4 1 4
5 4 2
1 5 0
2 4 0
2 1 5
5 0 2
1 1 5
1 4 2
2 2 5
3 3 0
10 8
2 0 2
0 0 2
0 2 0
2 1 1
0 0 0
2 1 2
2 2 1
2 2 0
2 2 2
1 1 1
10 4
3 3 0
2 3 1
0 0 2
3 1 4
3 0 1
3 0 2
0 2 1
2 4 0
4 3 1
2 2 4
10 3
3 1 4
2 3 4
0 4 3
3 3 2
1 4 2
2 2 4
1 2 3
1 0 3
1 3 3
2 2 2
10 7
4 3 2
2 3 0
1 4 0
2 0 0
1 1 1
3 2 4
0 0 2
3 3 2
0 4 4
2 4 2
10 3
2 0 0
3 3 0
2 1 3
0 1 3
0 0 0
1 0 2
0 1 2
1 0 1
3 1 0
3 0 2
10 3
1 2 3
0 1 1
2 1 0
3 1 1
1 0 3
2 2 0
2 0 3
1 1 2
0 2 1
2 2 2
10 4
3 3 1
3 2 1
2 4 3
4 3 1
2 0 0
4 3 3
4 0 2
1 2 0
2 2 0
3 2 0
10 6
5 1 4
2 5 1
2 3 4
1 3 0
1 4 2
5 2 0
1 1 5
2 2 3
3 3 3
2 1 1
10 9
4 0 2
0 5 5
2 3 3
5 0 2
1 3 5
2 4 2
1 3 0
4 2 2
5 3 0
3 2 0
10 5
2 3 2
0 3 2
1 1 3
4 0 3
0 1 0
3 2 2
4 3 0
0 0 2
1 2 2
3 3 1
10 4
2 2 1
0 2 0
0 1 2
1 2 0
1 2 1
1 1 1
1 0 1
2 0 2
1 0 2
2 1 1
10 7
2 0 0
2 0 1
1 0 2
0 1 0
1 0 1
2 2 2
1 2 1
1 0 0
1 1 2
0 0 0
10 7
2 2 1
2 3 1
2 1 3
3 1 3
3 3 3
2 0 1
3 2 0
3 0 0
2 1 1
1 0 2
10 6
3 1 0
3 2 3
2 1 2
2 1 1
3 2 1
0 1 0
0 1 3
0 3 2
2 0 1
1 0 0
10 9
3 1 0
2 3 1
2 1 2
0 1 1
1 2 3
2 2 0
0 2 1
3 1 1
1 1 2
1 0 1
10 2
1 1 0
2 3 2
0 3 2
3 1 0
3 2 3
0 1 3
2 3 3
3 3 3
3 2 2
1 1 2
10 4
2 3 2
4 4 3
3 0 2
1 3 0
0 1 2
3 0 3
3 4 3
0 1 0
4 1 0
0 4 1
10 8
2 0 0
0 0 2
1 0 2
2 2 2
1 1 0
0 0 1
2 1 1
1 2 2
2 1 2
1 1 2
10 2
3 3 2
2 1 3
5 2 5
5 4 0
1 3 0
2 4 5
5 1 2
3 5 5
0 2 5
0 0 0
10 3
0 0 4
1 0 5
0 3 2
1 4 4
4 1 1
3 0 3
3 3 5
0 2 1
2 4 1
4 1 0
10 9
3 0 1
2 2 3
1 2 2
0 2 3
2 1 2
3 3 3
1 1 2
1 1 0
1 0 0
3 2 1
10 9
2 1 1
0 1 1
2 0 0
1 0 0
0 1 2
1 1 2
1 1 0
2 0 2
2 1 2
0 0 2
10 6
2 0 1
0 3 0
1 2 3
0 2 2
1 0 3
3 3 2
3 1 3
3 2 2
2 2 4
2 3 1
10 4
2 0 0
1 0 4
4 0 1
2 3 0
1 2 4
3 4 0
1 3 1
2 1 4
3 2 1
0 2 4
10 5
4 0 3
3 1 3
2 4 1
5 5 0
0 2 2
3 5 1
5 3 2
0 1 1
1 0 4
5 0 2
10 2
4 2 1
4 0 1
1 3 2
0 1 2
4 1 4
0 4 1
1 1 4
0 0 1
2 0 3
3 0 1
10 5
0 0 5
5 1 1
1 4 4
4 5 1
5 2 5
2 3 4
5 1 4
3 3 1
2 0 0
0 1 5
10 3
1 0 2
2 0 2
0 0 2
1 1 2
2 1 1
2 2 1
1 1 0
2 1 2
0 2 2
0 2 0
10 6
2 3 3
1 0 2
0 3 1
0 2 0
3 3 3
1 3 1
2 2 3
2 1 1
1 1 3
2 0 0
10 6
0 4 2
2 0 2
3 4 4
4 1 4
1 0 2
2 4 4
0 3 4
3 0 2
2 4 3
3 4 0
10 2
3 1 3
4 4 2
1 2 0
2 3 0
0 2 2
0 0 3
1 2 1
4 3 0
1 3 3
2 4 1
10 7
3 0 3
2 4 1
0 4 3
2 1 4
0 3 2
3 0 4
4 2 2
1 1 1
0 3 4
2 2 4
10 6
0 1 1
2 2 2
2 0 2
1 0 2
1 0 0
0 2 0
1 1 1
2 0 1
2 2 1
2 1 1
10 4
3 2 1
0 3 1
4 2 1
4 0 0
4 3 0
3 4 2
1 4 2
0 2 1
0 4 4
4 0 3
10 8
0 0 4
0 3 3
4 3 3
3 3 4
1 0 0
1 4 0
0 1 2
3 1 0
1 3 3
1 2 0
10 5
4 4 0
2 4 2
1 3 2
4 1 1
0 4 4
1 1 0
0 4 2
4 1 4
4 2 4
0 2 2
10 3
0 2 1
3 1 1
3 1 0
2 1 1
3 0 0
1 3 1
3 3 2
0 2 2
0 0 3
0 2 3
10 4
0 1 5
0 3 4
3 1 3
0 3 2
5 5 4
5 1 4
4 0 2
0 2 1
2 4 1
4 2 2
10 7
1 1 1
3 3 2
1 3 2
1 3 1
0 2 0
2 1 2
0 1 2
0 0 0
0 1 1
0 0 1
10 7
4 2 1
2 3 4
1 0 2
0 2 5
5 3 0
3 3 5
2 5 3
1 4 0
3 1 5
3 5 3
10 2
2 0 1
1 0 0
2 2 1
1 2 2
2 2 0
0 2 0
2 1 2
0 0 2
0 0 0
2 1 0
10 9
2 2 4
5 4 3
1 3 0
3 5 3
5 3 4
5 0 0
2 1 1
5 3 0
3 1 1
5 4 0
10 3
1 2 1
0 0 1
1 1 0
2 2 1
0 1 1
1 0 2
2 1 2
2 0 0
1 0 1
2 2 0
10 8
2 2 2
0 2 0
0 2 1
2 0 1
1 2 0
1 0 2
0 1 0
1 1 2
2 1 1
2 0 2
10 2
2 2 0
1 0 1
2 0 0
2 0 1
0 2 2
0 0 0
1 2 0
2 2 2
0 2 0
2 0 2
10 7
2 3 3
3 2 2
2 1 3
0 1 2
3 0 3
2 2 0
0 3 1
1 2 0
3 0 0
1 1 2
10 8
2 2 4
0 4 1
0 1 3
3 0 0
1 2 0
3 1 2
4 1 2
0 4 4
2 4 4
2 0 3
10 2
2 2 2
0 1 4
0 5 4
5 1 3
0 1 0
3 0 1
3 0 2
3 0 3
3 3 4
0 4 1
10 3
2 0 2
1 0 0
2 0 0
1 1 2
1 2 1
2 0 1
1 2 0
2 1 1
1 1 0
0 1 2
10 3
0 1 2
0 2 1
0 0 1
1 1 2
0 2 2
2 1 2
0 0 2
0 1 1
1 0 2
2 0 1
10 7
3 0 2
0 2 0
0 5 1
3 0 4
0 3 3
5 1 4
4 4 0
4 2 0
1 4 0
4 5 3
10 4
5 4 0
5 2 1
1 5 0
5 4 1
1 4 2
0 3 4
2 1 3
0 1 4
5 1 2
5 2 5
10 2
1 2 0
0 2 0
1 1 0
0 0 1
2 0 2
0 1 1
0 1 2
2 2 0
1 1 1
1 2 2
10 8
0 0 1
1 1 1
1 2 1
2 0 1
2 1 0
0 1 1
0 2 1
1 1 0
1 2 2
0 1 0
10 9
2 2 1
2 1 0
2 0 0
2 0 2
2 1 2
0 0 1
1 1 0
1 2 2
2 2 0
0 0 2
10 8
2 4 3
4 1 1
3 3 2
3 1 4
1 2 3
4 1 3
0 3 2
4 2 4
1 4 4
0 1 0
10 8
2 2 2
2 4 4
3 0 0
4 0 4
3 1 2
2 4 0
2 1 1
2 1 0
0 2 0
1 2 0
10 6
3 1 1
2 0 1
1 0 3
0 1 2
3 0 2
3 2 0
4 1 0
3 3 1
0 2 3
1 4 3
10 8
1 1 1
2 1 0
1 0 2
0 1 0
1 1 2
0 2 2
1 1 0
2 1 2
0 1 2
0 2 0
10 7
1 1 0
2 3 2
1 3 3
0 3 0
1 2 3
0 2 1
3 0 3
2 2 0
2 1 2
1 1 1
10 6
0 3 2
0 1 3
1 1 0
2 0 1
0 1 0
3 1 2
1 2 1
3 0 0
2 3 0
3 2 2
10 3
2 2 1
1 2 1
1 0 2
1 1 2
0 1 1
2 1 0
2 0 2
1 1 1
2 2 2
2 2 0
10 2
3 4 4
1 1 2
1 0 2
0 3 1
1 3 4
0 4 1
1 0 1
2 1 3
1 3 2
3 1 0
10 8
2 0 1
0 2 0
0 2 1
2 2 2
2 1 0
1 0 1
2 0 2
2 1 2
0 1 1
1 1 0
10 8
3 4 4
2 1 0
4 1 3
3 4 3
4 0 3
0 1 1
1 0 3
2 3 1
0 3 2
4 4 1
10 4
0 0 2
2 0 1
0 1 0
1 2 0
1 1 1
2 0 0
1 1 0
2 1 2
1 0 1
0 1 1
10 6
3 2 0
2 3 3
3 3 3
0 2 0
0 0 3
2 1 3
1 1 2
0 3 1
3 3 2
1 2 0
10 9
3 4 2
1 4 2
1 1 2
3 1 4
0 3 0
2 0 4
0 2 2
3 3 1
4 0 3
4 2 3
10 7
0 1 1
2 1 2
1 2 2
0 1 0
1 2 0
1 0 2
2 1 0
2 0 2
1 1 1
0 1 2
10 9
1 1 3
5 5 1
4 4 1
4 4 4
5 3 4
5 3 3
4 3 4
5 1 5
3 2 0
2 1 3
10 3
3 1 1
1 3 0
2 0 2
3 2 2
0 2 2
1 0 2
3 0 3
0 1 3
2 2 2
0 0 0
10 2
2 1 4
2 2 3
0 3 2
1 1 0
3 2 2
1 3 2
2 4 4
3 4 3
3 1 2
1 4 0
10 3
0 1 0
1 1 2
0 0 2
1 0 2
1 2 2
0 1 2
2 2 2
1 0 1
0 1 1
0 2 1
10 4
2 2 2
0 2 1
2 0 1
2 0 0
0 0 2
1 1 1
0 1 2
1 0 2
1 0 1
0 1 1
10 7
0 3 3
2 2 2
1 1 2
1 3 3
0 3 0
3 0 1
2 0 0
0 0 0
0 1 0
1 2 2
10 7
1 1 1
2 2 2
1 3 0
1 1 2
2 1 1
2 2 3
0 3 1
1 2 0
3 2 1
2 0 1
10 3
2 0 4
1 2 2
0 4 3
2 4 1
0 3 0
0 0 3
4 1 1
3 3 0
2 3 1
4 4 1
10 7
1 0 0
2 1 2
0 2 1
0 0 1
2 0 0
1 2 2
1 2 1
1 1 1
0 2 2
2 0 2
10 5
4 3 2
2 4 4
1 3 2
3 4 0
1 4 2
0 4 4
1 3 4
1 0 4
0 1 2
4 3 0
10 3
2 1 4
3 3 4
0 1 0
3 1 0
3 0 3
2 2 1
3 4 1
1 0 4
0 1 3
2 0 3
10 2
3 1 5
3 1 2
2 2 1
2 5 0
3 0 1
5 1 5
5 5 4
5 0 2
2 1 5
4 3 3
10 5
1 0 0
5 5 2
3 3 2
4 0 3
3 1 4
1 2 4
0 1 1
0 3 0
1 2 1
0 4 1
10 4
2 1 3
3 2 3
0 0 1
0 2 3
1 2 4
3 2 1
1 4 3
4 4 2
2 2 4
3 2 4
10 9
1 2 2
2 1 1
2 2 1
2 0 2
1 2 1
0 0 0
2 1 0
0 2 2
2 0 1
2 0 0
10 3
1 0 1
2 0 0
1 1 2
0 3 2
2 1 1
0 0 2
3 2 1
0 1 1
1 2 1
0 0 0
10 9
2 1 0
2 1 1
2 2 2
0 0 0
1 2 2
1 0 1
1 1 0
2 0 1
2 2 1
1 0 0
10 3
1 1 2
2 3 0
1 2 0
1 1 3
0 2 1
1 0 3
0 0 2
0 0 3
2 2 3
3 2 1
10 5
0 3 4
4 1 2
0 0 4
0 5 2
2 0 5
1 5 4
0 3 1
1 4 2
4 3 1
1 0 1
10 7
0 2 2
3 1 1
0 4 4
2 0 1
2 2 4
1 4 2
0 1 1
1 0 4
3 0 2
3 4 3
10 9
3 3 2
4 0 4
2 1 5
2 2 3
5 3 2
3 0 2
4 4 4
0 3 1
0 4 1
4 4 3
10 6
3 5 5
3 1 0
5 3 2
3 1 1
5 0 1
5 1 3
0 3 3
2 2 3
4 4 2
0 3 2
10 3
5 1 2
4 4 5
3 5 5
5 5 0
0 5 5
5 0 2
5 5 2
3 2 4
1 3 2
2 2 1
10 7
1 3 2
1 1 2
3 0 1
2 3 0
3 0 2
3 0 3
1 2 2
1 1 0
1 0 1
3 1 3
10 2
0 1 0
1 1 2
2 1 1
1 0 0
2 0 0
0 2 1
2 2 0
0 1 1
1 2 1
2 2 1
10 4
2 2 2
0 3 3
3 1 3
0 2 3
3 0 0
1 3 3
3 3 2
0 1 0
0 2 0
1 3 2
10 7
0 3 0
2 1 1
2 1 2
3 1 0
3 3 3
2 3 0
0 0 0
0 1 0
3 0 2
0 3 3
10 5
3 3 5
2 5 0
0 5 0
1 4 4
5 1 2
0 0 2
0 3 1
3 3 2
1 4 2
3 2 3
10 4
0 2 1
1 2 0
2 0 2
2 2 1
2 0 0
1 0 1
1 2 1
0 0 2
2 0 1
0 1 0
10 7
0 1 2
1 2 2
1 1 2
0 1 1
1 1 0
2 0 0
2 2 1
0 0 1
1 0 2
0 2 2
10 2
0 2 0
0 1 3
2 0 3
3 0 2
2 2 3
3 3 2
0 0 1
0 0 0
0 1 0
3 0 1
10 5
0 1 1
1 0 0
0 0 1
0 1 0
2 0 1
2 1 1
2 1 2
0 0 2
1 0 2
2 0 0
10 3
3 0 3
2 3 3
2 1 1
1 3 0
0 0 1
0 0 3
0 2 1
3 1 2
1 0 0
3 2 1
10 9
5 2 1
1 5 4
4 5 4
3 2 3
1 2 5
1 0 3
4 5 0
0 5 3
5 1 4
2 3 1
10 4
1 1 0
4 2 3
1 2 4
4 1 2
3 2 4
1 1 4
0 2 1
0 3 3
4 4 1
1 1 2
10 5
2 5 3
3 0 1
2 2 0
3 0 2
1 2 1
4 1 0
0 0 5
2 3 5
3 2 2
5 3 0
10 8
3 1 2
3 2 3
1 0 2
2 0 2
1 1 2
1 2 0
1 0 3
0 2 3
0 2 0
2 1 0
10 3
2 0 0
1 0 2
2 1 1
1 0 0
2 0 2
0 1 2
1 1 0
2 1 0
0 2 2
2 2 1
10 2
2 0 2
1 2 0
0 2 2
1 0 2
1 1 1
0 1 0
0 0 2
2 2 1
1 1 0
1 2 2
10 9
0 2 3
1 1 1
1 3 0
0 0 1
2 3 2
1 1 3
3 3 2
3 2 0
3 1 1
2 0 0
10 2
2 2 0
0 1 0
0 2 1
0 0 0
2 1 2
2 2 1
0 0 2
1 1 0
2 0 1
1 0 1
10 9
1 0 1
0 0 1
1 2 1
0 0 0
0 1 1
1 0 0
1 1 2
1 2 0
2 1 0
2 2 2
10 2
0 0 2
2 0 0
0 2 2
2 2 0
0 1 0
0 1 1
1 0 1
2 1 0
0 1 2
1 0 2
10 7
1 0 0
2 2 3
0 1 3
0 3 3
1 1 1
3 2 3
1 2 2
0 2 1
0 3 0
0 3 2
10 9
0 2 0
1 0 2
2 0 0
0 2 1
2 2 2
1 2 0
0 0 2
1 1 2
0 0 1
2 1 0
10 7
2 1 0
2 2 0
1 0 0
0 2 2
1 0 2
2 0 2
0 1 1
2 0 0
0 1 2
2 1 2
10 9
0 2 2
2 1 1
1 0 2
0 0 1
2 2 1
2 1 2
1 0 1
1 2 2
1 1 1
0 2 1
10 7
1 0 1
0 2 2
2 0 1
0 0 0
1 2 1
2 2 2
0 0 1
1 2 0
1 2 2
0 2 1
10 3
0 2 2
1 2 3
1 1 0
1 0 1
3 1 4
1 0 3
2 1 4
0 3 4
4 1 1
3 2 2
10 3
2 1 0
2 0 1
1 0 1
0 2 1
0 1 0
2 1 1
1 1 1
0 1 1
2 2 1
0 0 1
10 5
1 2 3
0 3 0
0 4 1
2 1 3
0 1 1
3 1 0
4 3 4
2 1 2
4 4 2
1 2 4
10 9
1 4 5
4 3 1
3 0 2
1 4 4
5 4 4
5 0 4
1 1 2
5 1 2
2 2 1
5 4 3
10 4
1 0 3
2 3 1
0 0 1
1 2 0
0 3 0
2 2 1
0 3 1
2 2 3
0 3 3
2 1 2
10 7
2 0 1
2 1 1
1 1 2
1 0 0
1 2 1
1 2 0
0 0 0
2 2 2
2 1 0
1 1 1
10 5
3 3 3
4 4 0
4 4 2
0 0 4
0 2 0
0 1 2
0 1 0
3 1 2
4 4 3
3 2 1
10 4
2 0 2
0 1 2
1 2 3
2 0 1
2 3 1
4 1 0
0 2 5
1 4 4
4 3 2
1 0 2
10 6
1 3 2
0 0 0
0 3 3
2 1 0
1 1 0
1 3 3
2 2 0
3 3 2
1 0 2
2 1 3
10 6
3 2 2
0 1 2
2 4 1
4 5 2
1 2 3
2 5 1
0 2 5
0 4 0
2 2 0
3 5 4
10 3
4 3 1
4 4 3
0 4 1
0 4 4
1 4 3
3 2 1
4 3 4
3 2 2
2 4 1
3 3 3
10 4
4 0 4
3 2 0
3 5 0
0 3 0
5 3 5
1 2 2
5 0 0
0 0 0
3 2 1
3 1 1
10 3
1 0 5
4 3 1
2 1 2
2 1 1
1 4 5
4 5 2
3 1 1
3 0 0
5 4 5
5 1 0
10 5
1 3 5
2 4 1
0 4 3
1 0 4
3 3 5
3 0 5
0 2 4
1 1 3
2 1 5
1 2 5
10 2
2 2 0
0 3 2
2 3 0
1 2 3
3 3 3
3 3 2
0 2 2
2 0 2
3 0 3
1 1 3
10 9
1 4 1
3 0 2
4 2 1
1 1 0
1 2 0
4 3 0
0 1 3
1 1 1
4 0 2
2 4 4
10 5
1 3 0
3 2 2
2 4 1
3 2 3
0 2 1
4 4 4
3 0 3
2 1 3
4 1 4
4 0 0
10 3
2 2 3
0 1 2
2 2 2
3 1 0
3 0 3
0 2 1
1 1 1
0 2 0
3 2 2
3 0 1
10 5
1 0 0
2 1 2
0 2 0
1 2 0
2 0 0
0 0 2
2 2 2
2 2 1
1 1 1
1 1 0
10 7
0 1 0
2 2 0
0 0 2
1 1 0
2 0 0
0 1 1
1 0 1
1 2 1
2 1 0
0 1 2
10 9
1 1 2
1 0 1
3 2 1
0 1 0
3 2 3
1 2 2
1 2 0
1 1 3
2 1 1
2 1 3
10 4
0 1 2
2 1 1
0 2 0
0 2 2
2 1 0
2 1 2
2 0 2
0 2 1
1 2 1
2 2 1
10 5
3 3 3
0 0 0
3 4 3
0 5 4
0 0 2
1 2 2
5 5 5
2 3 1
3 3 0
3 4 0
10 3
1 0 2
0 1 0
1 2 0
0 0 0
2 0 0
1 1 2
2 0 1
0 2 2
2 1 1
1 0 0
10 5
1 2 1
1 0 0
1 0 2
0 0 2
2 1 2
2 2 2
2 1 0
0 1 1
2 2 1
0 1 0
10 2
0 0 3
0 1 2
1 2 3
1 4 1
2 4 4
2 2 4
0 2 4
0 4 4
4 2 2
4 2 3
10 9
2 2 4
4 2 0
4 3 0
3 1 4
2 1 4
3 1 3
0 2 0
1 3 0
1 1 4
3 1 2
10 5
0 0 0
2 2 2
3 1 1
1 2 0
1 2 1
3 0 2
0 3 2
0 3 1
3 0 1
0 0 2
10 6
2 0 0
1 0 1
2 1 1
1 2 0
0 2 1
0 0 0
1 0 0
0 1 1
0 0 1
0 1 0
10 2
0 2 3
1 2 2
1 2 3
1 3 2
3 1 1
0 1 0
3 2 0
0 2 0
2 1 2
3 0 1
10 2
0 2 2
3 3 0
0 3 1
2 1 2
3 1 1
1 2 1
3 1 2
1 1 0
1 2 0
2 1 1
10 4
0 0 2
2 2 1
0 1 0
1 1 2
1 2 2
2 0 2
1 0 2
1 1 0
0 0 0
1 2 1
10 5
5 0 2
2 4 1
0 1 3
5 2 0
4 4 3
0 0 0
4 3 5
2 3 5
2 0 1
3 5 2
10 9
2 3 1
0 2 1
1 1 1
2 0 2
1 3 2
0 1 1
0 1 2
3 3 2
1 0 2
2 2 2
10 4
1 0 2
2 1 0
3 1 1
2 0 0
0 5 3
4 3 1
2 5 3
0 0 0
0 1 3
2 1 3
10 2
0 1 2
1 1 1
1 2 0
2 2 2
2 1 0
0 1 0
2 2 1
1 0 0
2 2 0
1 2 2
10 2
3 1 3
1 3 2
2 3 0
4 2 2
1 2 0
3 4 3
3 1 0
4 2 4
2 0 1
0 3 0
10 7
2 4 1
1 2 1
5 2 0
1 5 3
0 0 5
5 0 3
2 3 5
3 5 2
0 1 0
5 2 3
10 4
0 5 1
5 4 0
2 3 4
5 0 0
4 4 1
5 1 0
4 3 4
3 3 0
1 1 3
1 0 5
10 7
1 0 3
3 1 3
1 2 0
0 0 1
3 3 3
2 0 0
2 1 3
0 1 0
1 2 3
2 2 2
10 3
0 0 0
0 2 1
1 1 0
2 0 0
1 1 1
0 0 2
1 0 0
1 1 2
2 1 0
1 2 1
10 3
1 0 2
1 1 0
2 0 1
0 0 1
2 0 2
0 2 3
2 2 3
1 0 1
1 2 0
3 2 0
10 2
0 2 1
3 3 3
1 1 1
2 3 1
0 1 1
2 2 3
3 3 1
2 0 1
3 2 0
0 3 0
10 3
0 3 3
0 3 2
2 1 0
2 2 2
2 1 3
0 2 2
3 2 3
3 1 2
3 3 2
0 1 2
10 2
2 1 4
3 4 0
0 1 0
0 3 0
2 3 1
3 4 1
1 0 3
1 2 2
0 4 3
0 2 4
10 8
3 2 3
2 0 0
0 3 2
0 2 3
3 1 1
0 2 0
1 2 2
3 1 3
3 0 1
2 1 3
10 4
0 2 0
1 2 0
0 1 1
2 1 0
1 0 2
0 2 1
2 2 0
1 1 1
1 2 2
2 1 2
10 4
0 5 5
0 2 0
4 5 2
1 3 2
0 1 5
2 5 4
1 5 4
5 5 3
2 1 4
4 2 1
10 3
3 0 4
2 4 2
3 0 3
1 1 3
4 0 3
4 1 3
4 1 1
2 0 4
1 1 2
4 0 2
10 7
0 1 3
2 0 2
1 1 3
2 3 1
2 2 0
2 1 1
3 2 0
1 1 1
3 2 2
2 0 3
10 3
1 1 0
0 1 1
0 2 1
1 0 0
2 0 2
2 0 0
0 1 0
2 2 1
2 1 2
2 2 0
10 5
0 2 1
1 0 2
0 2 2
2 1 1
1 0 0
0 1 1
0 1 2
2 2 2
2 2 0
2 0 1
10 8
2 1 2
0 2 0
2 1 0
0 2 2
0 2 1
2 0 0
2 2 2
1 2 2
0 0 1
0 0 2
10 3
1 4 0
4 0 0
0 0 2
3 1 0
3 1 4
1 2 0
3 4 2
0 4 2
3 0 0
2 3 1
10 2
0 0 4
2 4 4
3 1 0
2 3 1
4 3 0
3 5 1
3 5 2
2 3 0
0 0 1
2 0 1
10 4
0 1 2
1 0 0
0 0 1
2 1 0
0 2 2
2 0 1
0 2 0
1 1 0
2 2 0
1 0 1
10 4
2 3 1
0 1 2
3 3 0
0 0 1
3 0 2
2 2 3
3 0 0
0 0 2
0 1 1
0 3 1
10 7
3 1 0
2 2 0
4 0 1
3 1 3
3 3 0
1 3 1
3 4 4
1 1 2
2 0 0
2 2 1
10 9
4 4 4
2 1 4
3 3 4
1 2 4
1 0 3
3 0 0
2 1 1
4 3 2
4 1 4
4 0 3
10 8
1 0 0
0 1 2
2 0 2
0 2 1
2 0 1
1 2 0
2 1 1
2 1 2
2 1 0
2 2 1
10 2
0 4 0
0 0 3
5 0 1
1 3 4
1 5 1
1 1 2
3 0 3
1 0 1
5 3 4
2 4 2
10 3
0 5 4
0 3 5
2 5 3
1 0 3
0 1 0
5 0 0
4 0 2
1 3 2
0 3 4
0 5 2
10 9
3 2 0
2 2 1
0 0 1
0 2 3
0 1 2
1 3 1
3 2 1
0 2 2
0 1 3
1 0 3
10 6
2 2 2
0 1 0
0 0 1
2 1 0
2 0 1
1 2 2
0 0 2
1 2 1
0 2 2
1 0 1
10 6
4 5 4
0 0 4
2 0 5
1 0 1
1 4 0
0 5 4
5 0 1
1 3 3
0 4 4
2 1 1
10 2
0 3 0
2 3 2
2 2 1
2 1 0
2 1 3
3 3 3
2 3 3
3 3 0
3 1 3
0 2 0
10 7
0 1 3
0 3 2
2 4 1
2 2 2
3 3 1
1 0 4
2 0 1
2 3 4
0 0 2
3 1 3
10 8
3 4 0
4 2 4
2 2 2
1 0 0
2 0 4
2 3 0
3 1 3
3 0 3
0 1 1
3 1 4
10 3
3 1 1
0 1 1
3 3 0
0 2 0
1 3 1
3 0 2
1 2 1
2 1 3
0 3 0
3 0 1
10 2
1 1 1
2 1 0
0 2 1
1 2 1
0 0 1
0 0 0
2 0 0
0 2 0
1 0 1
1 1 2
10 5
2 3 2
3 3 2
3 3 3
4 2 1
4 4 3
4 4 1
1 3 4
3 3 1
0 2 0
1 0 4
10 5
0 4 1
4 2 4
4 4 0
4 2 0
4 3 0
4 2 1
2 3 0
2 0 2
4 1 3
4 1 2
10 8
0 0 1
1 0 0
1 1 0
2 1 1
2 2 1
0 0 2
1 1 2
2 0 1
1 0 1
2 2 2
10 9
4 1 3
3 4 3
2 0 3
1 4 3
0 2 4
1 4 0
2 1 2
2 0 4
3 1 0
3 1 3
10 8
1 0 2
2 3 1
2 1 3
2 2 2
3 1 2
3 1 0
1 3 2
2 1 1
0 3 3
3 0 2
10 8
1 3 1
1 4 4
1 1 1
2 3 3
3 1 0
3 4 0
0 2 2
4 3 2
1 0 4
1 0 1
10 2
0 0 2
0 2 3
3 0 1
1 0 2
2 0 3
3 3 0
3 2 2
0 3 2
2 0 1
1 1 2
10 9
2 3 1
0 0 1
1 1 1
0 2 0
3 3 0
3 2 0
1 0 0
2 0 2
3 1 1
0 2 2
10 6
0 0 0
2 0 1
1 0 0
0 0 1
1 1 2
0 1 2
2 0 2
1 2 1
2 2 0
2 1 0
10 7
2 0 1
0 3 0
2 1 1
2 0 3
1 2 0
0 2 3
1 3 0
0 0 1
2 0 2
1 1 1
10 5
2 2 1
3 1 0
0 1 0
0 2 1
3 2 2
0 2 3
2 3 2
2 0 2
2 2 0
0 0 3
10 4
4 2 5
3 0 3
2 4 3
1 3 1
5 2 4
2 0 2
4 3 3
4 4 2
4 3 1
3 5 3
10 2
2 4 0
2 3 4
4 1 1
3 3 1
1 3 4
1 1 0
2 0 3
3 3 3
3 4 4
2 2 1
10 7
3 1 2
2 0 2
0 3 2
2 0 0
3 0 0
3 2 0
2 1 1
1 3 1
2 3 3
3 3 2
10 2
4 0 4
1 0 3
3 4 1
3 2 5
5 4 3
3 1 2
3 3 3
5 2 1
3 1 3
3 3 1
10 4
1 2 2
1 2 3
4 2 4
0 0 0
4 1 0
4 3 4
1 4 1
0 4 2
4 0 2
4 1 2
10 8
0 0 3
1 1 3
0 3 2
0 3 1
1 1 2
0 2 3
2 0 1
0 1 3
0 2 0
3 1 1
10 4
1 1 4
1 4 3
4 0 0
3 2 1
1 2 2
4 0 4
0 2 0
4 0 3
4 2 2
0 2 4
10 4
2 2 3
0 0 3
0 3 1
0 3 0
1 1 2
2 1 2
3 3 2
2 3 0
2 2 2
2 0 2
10 2
0 1 1
1 2 1
1 2 2
0 1 0
0 2 1
2 2 2
1 1 1
2 0 2
2 1 0
2 2 0
10 7
2 0 0
0 0 1
2 3 3
1 2 0
0 2 2
2 2 3
1 1 2
3 1 3
3 2 1
1 3 3
10 2
4 1 0
2 2 0
1 4 3
3 1 4
2 0 4
3 0 1
3 0 0
1 1 2
4 0 2
4 4 4
10 8
2 3 4
2 0 3
3 3 1
2 1 3
0 4 4
4 1 1
4 4 0
2 3 0
1 2 1
4 4 1
10 2
5 2 2
4 5 5
4 3 5
4 1 1
2 0 2
5 4 4
2 0 5
2 5 3
4 0 5
0 3 4
10 2
0 2 1
1 0 1
1 1 0
1 2 2
1 2 1
1 0 2
0 1 0
0 0 2
1 2 0
2 0 1
10 5
2 3 1
3 2 1
4 3 3
0 3 0
0 4 1
0 0 1
1 1 3
2 2 2
0 2 1
4 3 4
10 6
0 0 3
2 1 3
3 1 1
0 2 1
1 1 1
2 0 3
0 0 1
3 0 1
2 0 2
1 3 1
10 7
4 2 2
4 0 0
4 3 0
3 2 1
2 3 4
1 0 2
1 1 3
4 3 3
3 2 0
3 3 2
10 2
3 4 3
1 0 4
4 2 2
0 3 3
3 1 3
0 2 4
3 4 2
2 1 2
1 3 0
2 3 4
10 2
0 2 0
3 2 2
2 1 3
2 0 3
0 2 2
3 0 1
2 2 1
0 1 0
1 3 1
3 2 1
10 7
1 1 1
0 2 0
2 2 0
2 2 2
0 1 0
0 1 1
1 1 2
2 2 1
2 1 2
1 0 0
10 7
2 4 1
2 4 2
3 5 3
1 4 1
0 2 0
5 3 5
0 5 5
2 2 1
1 3 4
5 4 4
10 6
0 0 3
3 0 1
2 4 4
1 4 4
0 1 3
0 3 0
4 3 0
4 0 4
3 0 2
1 1 2
10 8
2 2 1
2 0 1
1 0 1
1 0 2
0 0 2
1 2 1
2 2 0
0 0 1
2 0 2
1 2 0
10 8
2 1 2
1 2 0
3 0 3
2 1 1
3 1 0
0 2 0
3 1 1
3 2 0
3 1 3
3 0 1
10 5
4 4 4
1 2 1
3 1 2
1 1 0
0 2 2
3 1 1
4 1 2
0 2 0
4 1 4
0 2 3
10 7
0 0 2
0 2 0
2 0 1
0 1 0
0 1 1
1 2 0
1 1 1
2 2 0
2 0 2
2 2 1
10 4
1 4 4
2 3 4
0 1 1
2 0 3
2 1 0
0 5 4
4 2 5
4 4 5
2 2 1
2 1 5
10 4
2 3 2
1 0 2
3 3 1
1 3 1
2 1 3
3 3 0
0 1 0
0 2 2
0 2 3
2 2 1
10 7
1 1 3
3 3 0
1 3 3
1 0 0
3 2 0
2 2 0
0 2 0
0 2 1
0 1 1
0 1 0
10 9
0 2 0
2 1 2
2 0 1
1 1 1
1 1 0
1 2 1
2 2 2
2 2 1
0 2 1
1 2 0
10 2
1 0 0
2 0 1
0 0 1
1 1 0
0 2 0
2 2 1
2 2 2
0 0 2
2 2 0
1 0 2
10 6
1 2 4
2 3 3
1 4 4
1 1 1
4 1 0
3 1 3
3 3 0
3 3 3
2 2 4
4 2 4
10 6
0 2 1
1 1 2
2 1 0
3 2 1
0 3 2
2 3 3
3 2 3
2 2 1
0 0 3
2 3 1
10 9
3 1 4
2 0 3
4 2 4
2 0 4
0 1 0
0 2 0
0 0 0
2 2 4
4 3 0
0 4 1
10 6
0 0 1
1 1 3
4 2 4
1 0 3
2 2 1
3 4 2
2 2 4
1 2 0
1 3 3
4 1 4
10 8
1 1 2
2 1 2
0 1 1
0 1 2
0 2 0
1 1 1
0 0 0
1 0 2
1 0 1
2 0 2
10 8
1 5 1
1 2 4
3 2 3
0 2 4
1 5 4
1 0 4
0 5 0
3 0 0
1 5 5
0 2 2
10 9
4 4 2
0 4 1
3 4 3
1 3 3
2 2 0
2 4 3
2 4 0
4 3 2
2 3 3
0 3 4
10 7
0 2 0
1 2 1
0 0 1
1 1 2
0 0 0
0 0 2
0 2 1
0 2 2
2 0 1
2 0 0
10 6
1 0 2
2 1 1
2 2 1
2 0 3
2 0 0
0 1 0
2 3 1
1 2 2
3 0 3
3 1 1
10 2
1 2 2
2 1 2
0 2 2
2 0 2
2 2 1
0 0 1
1 0 2
1 0 0
2 0 0
0 1 1
10 8
4 1 4
2 5 5
3 1 1
4 0 5
0 3 0
0 3 2
1 1 3
0 2 2
4 5 2
1 0 4
10 4
1 2 4
1 2 0
3 1 3
0 5 3
4 4 3
1 5 0
4 4 2
0 4 0
5 5 1
2 5 2
10 9
1 1 1
2 3 2
2 2 1
1 3 0
2 1 1
0 0 1
1 1 3
2 1 3
2 3 0
3 2 0
10 4
0 0 2
3 0 4
4 0 3
4 4 0
2 4 2
4 2 3
1 1 3
4 4 4
0 0 4
0 2 0
10 5
1 1 0
0 0 0
2 0 2
0 0 2
0 2 0
1 1 2
2 0 1
1 0 1
2 2 2
2 1 1
10 2
2 2 2
0 5 4
1 1 0
1 0 1
2 4 2
0 3 2
4 2 0
5 0 3
4 5 4
3 2 4
10 2
2 3 1
3 2 3
2 0 0
2 2 2
0 2 0
2 1 0
1 0 1
0 2 1
1 0 0
3 3 0
10 3
1 0 2
2 1 0
1 2 2
0 0 0
1 1 0
1 1 1
0 0 1
0 2 2
0 1 2
1 1 2
10 5
2 0 3
1 2 0
3 3 2
0 3 2
1 1 1
1 1 0
0 2 1
2 1 3
2 3 0
1 3 0
10 2
0 2 1
2 1 1
2 2 1
0 2 0
1 2 1
1 0 0
0 1 1
0 1 0
1 0 1
1 1 1
10 8
1 3 1
2 0 4
1 1 1
0 0 3
4 2 4
1 4 4
2 1 1
1 5 1
0 5 0
4 0 5
10 5
4 1 0
3 1 4
4 4 1
0 5 0
4 2 0
4 2 3
4 0 2
1 0 3
2 0 1
5 4 2
10 3
4 3 3
1 5 3
4 2 0
3 5 0
1 0 2
3 4 4
3 1 1
3 3 0
0 2 3
1 4 0
10 4
1 0 1
1 2 1
0 1 2
0 2 1
2 1 2
1 0 2
2 0 1
2 2 2
0 2 0
2 2 0
10 9
3 1 0
3 0 1
5 3 3
2 2 1
3 2 0
1 5 4
2 5 3
5 4 1
1 3 5
3 5 3
10 4
2 0 0
1 1 3
2 5 4
4 2 1
0 5 4
1 0 5
5 4 0
1 5 3
5 1 3
5 0 0
10 9
0 0 1
4 4 5
2 5 1
1 1 5
0 1 1
2 3 4
5 1 2
4 5 0
2 0 0
0 1 2
10 5
4 3 0
4 3 1
1 0 5
3 1 5
5 2 2
4 5 3
5 4 5
3 4 3
2 1 2
2 5 3
10 2
0 1 3
2 2 1
0 0 0
1 2 1
3 0 1
1 0 2
3 1 0
1 0 1
3 0 0
2 3 1
10 4
0 1 1
0 2 2
2 1 0
0 1 0
1 2 1
1 1 2
1 1 1
0 2 0
2 0 0
1 1 0
10 2
0 0 2
1 2 2
0 0 1
2 2 2
2 1 2
2 2 0
1 1 1
0 1 2
0 2 1
1 0 2
10 9
0 1 3
0 0 2
1 0 1
3 2 2
3 1 1
1 1 0
0 3 0
0 2 1
2 2 0
1 2 3
10 2
4 4 3
2 4 0
5 3 0
0 1 4
4 1 5
2 1 1
0 0 0
2 2 5
5 0 1
2 0 5
10 3
2 1 2
1 0 2
0 1 2
0 2 2
1 0 1
1 1 1
2 1 0
1 2 1
1 1 2
2 2 2
10 4
0 0 3
2 0 0
1 2 1
1 1 0
1 0 0
3 3 0
2 2 3
3 0 1
1 3 0
1 1 3
10 2
1 1 2
2 2 0
1 2 1
0 1 2
2 0 2
0 0 0
0 2 0
1 0 2
0 0 1
2 2 1
10 8
2 2 2
3 0 0
3 2 2
0 2 2
0 3 1
3 2 3
1 3 1
2 2 1
0 1 2
3 3 0
10 2
0 1 4
3 1 3
2 1 0
1 4 3
2 3 4
2 2 1
1 1 0
0 4 4
3 3 2
0 3 2
10 6
1 2 1
3 2 3
3 2 0
0 2 1
1 2 0
3 0 1
1 3 3
1 1 2
3 1 0
2 1 2
10 5
1 3 3
2 1 0
1 0 0
1 0 2
0 1 0
1 1 2
0 0 0
2 3 0
2 0 2
2 2 2
10 6
2 2 2
2 0 1
1 1 2
0 2 0
1 0 0
0 0 2
2 0 0
1 2 1
2 2 0
1 2 2
10 7
0 0 3
4 2 0
4 1 4
4 2 2
2 4 2
0 4 0
0 0 0
4 4 2
0 1 4
1 2 0
10 7
1 3 4
1 2 4
4 3 2
0 4 2
3 0 3
2 3 0
2 3 3
0 0 0
4 0 4
0 2 2
10 8
1 1 1
2 2 2
1 0 1
1 2 0
2 2 0
0 0 1
2 1 2
2 2 1
2 0 2
1 0 0
10 8
1 3 3
2 4 4
1 4 1
3 1 0
3 4 2
4 1 2
4 2 2
4 2 4
2 4 2
3 2 1
10 8
1 4 1
0 0 0
1 3 2
3 1 0
3 4 1
2 0 4
0 0 2
1 2 4
2 3 0
2 3 4
10 9
1 3 2
2 1 0
1 0 3
0 1 4
0 3 3
1 0 0
2 0 1
0 2 3
4 4 2
0 0 0
10 6
1 2 2
0 2 2
1 1 1
2 0 1
0 2 1
2 1 0
1 0 0
2 2 2
0 0 1
1 0 2
10 4
0 3 2
2 2 1
2 0 2
0 3 0
1 0 2
3 2 3
1 2 3
1 2 0
0 3 3
0 2 3
10 3
4 4 3
4 2 1
1 2 4
4 4 4
3 3 1
0 1 2
5 3 2
0 2 4
2 1 2
0 2 3
10 4
1 1 0
0 1 0
1 1 1
0 1 1
2 0 1
2 1 0
0 2 1
0 1 2
0 0 0
1 1 2
10 8
2 1 2
0 0 0
2 1 0
2 0 0
2 0 1
0 2 0
0 0 1
1 1 2
1 2 1
2 0 2
10 3
1 4 4
1 1 2
0 4 3
2 4 2
4 0 2
1 2 4
3 2 3
4 2 4
0 2 2
2 4 1
10 2
2 2 1
0 2 0
2 1 1
1 0 0
0 2 2
2 0 1
0 0 0
1 2 1
1 1 1
0 1 0
10 9
3 2 0
3 0 0
3 1 2
0 1 0
1 3 1
2 0 2
3 2 2
3 1 3
0 1 3
2 0 1
10 3
0 2 2
1 1 1
2 0 0
2 1 0
0 0 0
1 2 0
1 1 0
0 0 1
2 2 1
0 1 2
10 3
5 1 2
5 2 5
2 4 0
1 4 0
2 2 3
0 0 5
1 5 0
3 4 1
4 5 1
1 0 5
10 9
0 0 2
1 4 3
0 0 4
5 3 4
2 1 1
1 4 2
1 3 5
4 5 1
2 1 5
0 3 1
10 8
2 2 2
1 1 0
2 2 1
1 1 2
0 1 2
2 1 2
2 2 0
1 2 0
1 1 1
0 2 1
10 2
1 4 3
4 0 3
4 2 0
0 5 4
3 5 4
5 0 2
0 5 1
0 4 4
2 3 2
4 4 3
10 2
3 4 1
1 3 0
4 1 1
1 1 1
0 3 1
0 3 2
1 2 2
4 3 4
4 3 0
2 1 2
10 5
2 0 1
0 1 0
2 2 2
2 1 0
1 2 2
2 1 1
0 1 1
1 0 2
0 0 0
0 2 1
10 3
2 3 0
3 1 3
0 1 2
0 4 2
4 2 0
2 2 2
1 2 0
3 5 3
1 3 2
0 3 2
10 9
3 1 3
3 2 1
0 2 4
2 1 2
0 0 4
4 3 1
4 2 1
0 4 1
4 1 4
2 0 0
10 3
3 0 3
1 1 1
2 0 2
2 2 3
2 2 2
3 0 2
1 2 2
0 0 1
0 3 0
1 1 0
10 3
3 1 2
3 3 0
1 3 2
1 3 1
1 2 3
2 2 0
0 3 3
1 0 3
1 1 2
2 0 1
10 7
3 0 1
0 3 4
1 2 3
2 4 0
4 1 3
4 0 0
3 1 1
0 2 2
1 0 1
2 2 3
10 9
1 0 1
1 0 3
1 3 0
0 0 3
2 2 1
0 1 3
0 2 1
0 3 0
3 3 3
2 3 0
10 9
0 1 3
3 3 2
0 2 3
4 3 1
1 1 2
3 2 3
2 0 1
2 2 2
0 1 0
1 1 1
10 7
0 0 0
1 1 2
2 2 1
1 1 1
0 0 2
1 1 0
0 0 1
1 0 2
2 1 1
0 1 0
10 9
0 0 0
0 0 3
3 3 1
3 2 1
2 3 3
0 0 2
3 1 0
3 1 3
0 2 0
1 1 0
10 7
2 1 1
3 0 2
0 2 2
2 0 0
1 3 3
1 2 1
1 1 2
0 2 1
1 2 3
2 2 0
10 3
0 2 1
2 2 0
0 2 2
0 2 0
0 1 2
1 1 2
1 0 0
0 0 0
1 0 1
2 1 1
10 6
3 3 0
3 2 3
1 1 3
2 0 0
0 2 3
1 0 2
2 3 2
3 1 0
3 0 1
1 0 3
10 4
0 1 1
3 3 0
1 2 1
1 2 0
2 0 1
1 3 2
2 2 1
0 2 2
3 0 0
3 2 0
10 3
4 1 1
3 3 2
1 2 2
1 1 1
0 0 1
0 2 4
1 1 2
2 4 3
3 2 3
3 1 4
10 6
0 4 3
4 3 1
1 2 1
1 1 0
4 0 3
0 4 4
3 1 2
2 2 3
0 0 1
1 1 4
10 5
1 1 2
0 0 2
0 0 0
2 2 0
2 0 0
2 0 1
1 0 0
0 2 0
0 1 0
1 1 1
10 2
2 4 4
2 5 0
1 4 5
5 1 1
2 5 4
1 4 0
0 0 4
5 5 0
0 2 0
4 5 5
10 4
2 0 1
1 1 0
0 2 0
2 2 0
2 0 2
2 1 1
0 2 1
1 1 1
0 0 0
1 0 1
10 2
1 3 1
2 1 2
2 0 1
0 2 2
0 0 0
2 1 1
0 3 2
1 2 1
1 2 2
2 3 3
10 3
1 2 0
1 1 1
1 2 1
0 2 0
0 1 0
0 1 1
2 0 0
2 2 0
2 1 2
0 1 2
10 4
2 3 1
3 4 1
4 4 1
3 0 2
2 0 3
4 1 1
0 4 4
4 4 4
0 4 3
5 5 2
10 8
1 2 3
2 0 0
4 1 0
4 4 5
5 5 5
1 4 4
5 3 5
0 0 4
0 5 3
2 1 2
10 2
3 3 3
0 3 0
0 1 2
4 0 2
0 4 2
5 3 4
1 1 4
5 0 2
4 4 5
3 2 3
10 6
4 4 0
4 2 4
0 3 1
2 1 4
3 0 4
2 2 0
3 3 3
3 4 2
1 1 0
4 0 2
10 5
4 3 0
4 4 0
1 1 3
1 0 0
2 3 2
2 1 3
4 2 1
1 1 4
0 1 3
1 4 2
10 6
1 3 4
4 0 4
4 2 1
0 0 2
4 2 2
2 1 3
3 1 3
0 3 4
0 3 0
1 2 0
10 6
2 4 2
2 4 5
5 5 5
5 2 1
0 3 4
0 1 3
0 5 5
1 1 2
0 4 1
0 2 2
10 7
3 2 1
5 2 4
2 0 1
3 3 5
4 5 5
4 3 4
4 0 2
3 5 3
0 4 3
3 5 2
10 3
0 0 1
3 2 2
2 0 1
0 0 3
3 2 3
1 2 0
0 1 2
2 0 3
3 1 3
3 1 0
10 2
2 0 0
2 1 0
0 0 1
1 2 0
2 2 2
1 1 0
2 0 1
2 0 2
1 2 1
0 1 2
10 2
1 1 1
4 0 4
3 0 3
3 4 3
1 3 1
1 0 0
3 4 4
1 1 0
2 2 0
0 2 0
10 8
1 2 2
0 0 2
1 0 0
1 1 2
2 0 0
2 2 0
2 2 2
1 2 1
2 0 2
1 0 2
10 6
2 0 1
1 0 0
0 0 0
1 1 2
0 0 2
1 0 1
0 2 1
1 0 2
1 1 0
2 0 2
10 6
2 2 1
5 4 5
0 2 0
0 1 4
0 0 3
3 2 3
1 4 3
3 0 1
0 3 4
3 4 1
10 5
0 2 3
4 3 3
0 0 3
5 2 0
2 3 5
2 5 1
4 4 2
3 0 2
0 2 4
1 2 3
10 7
1 1 0
1 0 0
2 1 1
2 1 0
1 0 1
1 2 2
0 1 2
0 2 1
2 2 0
2 0 2
10 2
0 0 2
3 2 1
3 1 1
2 2 2
3 2 3
0 2 0
3 0 2
2 3 3
2 0 0
0 1 2
10 6
2 5 1
1 5 2
3 3 4
4 5 1
0 2 4
4 2 3
1 1 4
2 4 2
3 1 0
1 2 5
10 9
2 0 5
3 0 1
3 3 4
4 1 5
4 5 1
0 4 2
4 3 5
4 3 4
3 5 3
4 3 0
10 8
2 5 0
4 1 4
1 1 0
3 2 4
1 5 1
4 1 5
4 5 2
3 0 0
2 1 5
0 5 4
10 5
1 0 1
0 0 1
0 1 0
2 2 0
1 1 1
0 2 0
1 1 2
0 0 0
1 0 2
2 2 1
10 3
3 3 2
4 2 3
2 1 3
4 3 4
4 0 3
0 4 1
0 3 1
1 2 0
3 3 1
4 0 0
10 9
1 1 2
0 0 0
2 2 1
2 1 1
1 2 2
1 1 1
2 0 1
1 1 0
0 0 1
0 2 0
10 8
2 1 1
2 2 2
0 3 2
1 0 2
1 1 0
0 1 3
0 1 0
0 0 0
1 0 3
2 0 2
10 4
2 1 3
2 2 3
1 1 0
0 1 1
0 0 1
1 2 1
2 2 0
0 1 3
0 2 3
1 2 2
10 7
1 1 3
2 1 3
3 0 2
0 0 3
1 0 1
1 0 2
0 1 0
3 3 1
0 1 1
3 1 2
10 8
0 2 2
2 3 0
3 1 2
3 3 0
1 0 3
1 1 1
2 1 3
2 0 3
1 2 3
0 3 1
10 3
0 3 2
4 2 4
4 1 0
4 3 0
4 2 3
3 4 1
4 2 1
2 2 0
4 1 4
2 0 4
10 4
1 2 3
0 0 5
1 5 2
5 5 5
3 2 0
3 3 1
3 5 0
4 2 4
5 3 1
3 1 3
10 7
1 0 2
2 2 1
0 1 2
1 3 3
0 3 3
3 4 1
1 4 0
0 1 4
1 2 1
1 4 2
10 9
0 2 1
1 0 1
2 1 1
2 0 2
2 1 0
0 1 1
1 2 0
1 1 1
1 0 2
2 2 1
10 5
2 0 2
0 2 2
1 0 2
0 0 1
1 2 0
1 0 1
0 2 0
2 2 2
0 0 2
2 0 0
10 3
1 1 1
1 2 2
0 0 0
0 1 0
1 1 0
2 1 0
0 2 1
2 2 0
2 0 0
1 0 2
10 7
0 4 3
3 0 2
4 1 3
2 4 4
0 3 1
3 1 0
1 0 0
0 2 2
3 1 1
3 4 0
10 2
2 0 0
2 0 2
1 0 2
0 2 2
1 2 2
2 1 2
2 2 2
1 2 1
0 0 1
0 0 0
10 3
4 2 0
3 3 3
1 1 4
4 3 3
1 0 0
3 1 4
3 3 1
2 4 0
0 4 3
2 1 4
10 6
5 4 2
4 4 3
3 4 1
3 3 1
5 1 1
0 5 4
0 3 5
4 1 2
5 3 1
2 1 0
10 3
0 0 2
2 1 1
1 3 3
0 0 0
3 1 2
3 0 1
2 3 1
0 2 0
2 2 0
2 2 2
10 3
3 0 0
2 3 2
0 0 3
3 1 2
3 0 3
3 1 0
0 3 1
1 0 3
1 1 2
1 3 2
10 4
2 2 1
1 1 2
2 0 2
1 0 1
1 2 2
1 1 1
0 1 2
0 1 0
2 1 1
1 2 0
10 8
2 1 1
2 2 3
2 1 0
1 2 2
0 3 3
3 0 1
2 2 2
0 1 1
0 2 3
2 3 3
10 8
0 3 2
0 1 2
1 0 3
0 0 2
0 2 1
0 3 0
3 1 3
0 0 3
2 2 1
3 3 2
10 3
2 1 0
2 2 2
0 1 2
4 3 1
0 4 0
0 4 1
4 3 4
1 2 1
2 0 3
4 3 0
10 5
4 0 3
2 0 3
2 2 0
4 4 4
0 4 0
1 2 1
1 0 1
0 1 3
4 2 4
3 3 4
10 7
0 1 2
0 5 5
1 0 3
4 2 3
3 5 2
4 4 2
1 2 1
4 5 0
1 3 4
3 0 1
10 5
4 1 0
2 0 0
2 1 4
5 2 3
1 0 3
0 4 1
1 5 3
1 2 5
5 5 3
1 0 0
10 8
1 1 2
0 3 2
0 1 1
0 2 0
0 1 0
3 1 3
1 0 1
0 1 3
3 2 3
2 1 3
10 7
0 0 1
1 1 2
2 1 0
0 1 2
2 0 2
0 2 0
2 2 2
2 1 2
1 2 2
0 0 2
10 8
0 0 0
3 2 2
0 1 1
2 0 1
2 3 3
1 1 0
3 1 2
3 2 3
0 2 2
0 2 3
10 7
0 3 1
0 5 4
5 4 4
3 2 1
1 3 1
2 3 3
4 5 3
2 2 4
3 0 4
3 4 1
10 6
3 1 3
2 3 1
0 1 2
2 1 2
1 2 0
3 0 2
1 2 3
0 3 3
0 2 1
0 0 3
10 4
0 2 1
4 1 2
1 3 4
4 2 2
2 3 3
0 2 2
2 4 4
3 3 3
2 1 0
0 4 2
10 7
2 2 1
3 1 1
0 5 2
0 1 0
5 5 5
0 2 5
5 0 3
2 1 2
4 4 0
1 5 4
10 3
5 0 2
0 4 5
4 5 5
1 0 0
5 4 2
4 5 2
0 4 2
5 3 5
1 5 1
5 1 3
10 9
1 1 1
0 1 1
2 2 2
2 1 0
1 0 1
2 0 2
1 2 1
2 2 0
2 0 1
0 2 0
10 3
3 1 3
1 3 4
2 0 1
4 3 0
3 0 0
3 4 2
0 1 0
3 0 3
1 4 4
0 1 1
10 7
0 1 2
1 1 2
1 3 1
1 2 3
2 1 3
0 1 1
1 2 1
2 2 1
2 3 0
1 3 2
10 2
1 0 2
0 0 1
0 1 1
1 2 2
0 0 2
1 0 1
0 2 0
2 1 0
2 0 0
1 1 0
10 3
2 3 0
2 1 0
1 0 0
3 3 2
0 1 0
3 0 3
3 3 0
0 3 2
0 0 2
2 3 3
10 8
2 3 1
3 1 3
0 0 4
0 4 0
4 3 4
2 0 0
1 1 4
0 3 0
1 0 4
2 2 4
10 2
5 3 4
1 1 2
5 0 1
2 5 4
0 1 5
4 5 1
4 1 4
4 0 0
4 5 2
0 3 5
10 8
4 0 5
4 4 4
2 4 3
4 1 5
1 2 5
1 5 4
3 5 3
4 3 5
4 1 0
4 0 0
10 3
5 5 4
2 2 4
5 3 3
3 4 4
5 0 5
2 4 4
3 3 4
3 5 4
2 3 1
3 0 5
10 3
4 0 2
3 1 0
4 4 3
1 2 1
4 2 1
1 1 2
3 3 1
3 2 3
3 3 2
2 0 2
10 5
3 2 0
0 2 4
1 1 2
2 4 4
2 1 2
2 0 2
3 4 0
3 2 3
2 0 4
1 2 4
10 9
1 0 0
2 1 1
2 0 2
2 1 0
0 1 0
0 1 1
2 2 2
1 0 2
1 1 1
2 0 1
10 4
1 0 0
0 2 1
2 2 0
1 1 0
1 0 2
2 0 1
0 2 2
2 0 0
1 2 1
0 0 1
10 2
0 1 1
1 1 1
0 2 1
1 0 1
1 1 0
0 0 1
2 2 0
0 0 0
2 1 2
2 2 2
10 4
3 2 2
5 4 2
3 1 1
1 1 3
4 5 4
3 2 5
2 3 0
4 0 2
2 2 0
2 4 1
10 2
1 4 2
2 2 4
5 5 1
2 0 1
5 3 4
5 5 4
0 3 0
1 2 1
2 3 3
1 0 5
10 9
3 3 4
4 0 2
3 1 0
0 0 1
1 2 1
3 0 3
3 1 2
3 4 1
1 2 3
4 1 0
10 4
4 4 4
3 2 1
4 3 0
1 1 1
2 3 0
3 4 2
2 0 3
1 0 3
3 3 2
2 1 2
10 6
1 3 2
3 3 4
0 2 1
3 1 2
2 3 3
1 1 1
3 2 1
2 2 0
0 1 1
1 0 4
10 4
3 1 0
0 0 2
0 1 3
0 1 1
0 0 3
2 0 2
2 2 3
3 1 1
2 1 3
1 0 2
10 9
0 0 0
0 2 2
2 2 1
1 0 1
1 1 0
1 2 1
0 2 0
2 0 0
2 1 2
0 0 1
10 8
2 2 0
1 0 2
1 1 1
0 1 1
1 0 1
0 1 0
0 0 0
2 0 1
2 1 1
2 2 1
10 8
2 0 3
3 4 4
4 1 3
1 4 2
3 2 3
2 3 3
1 0 3
3 3 1
1 3 0
1 3 3
10 7
1 0 0
1 0 1
0 2 1
1 2 1
2 1 0
0 0 1
2 2 1
1 2 2
1 1 2
2 2 2
10 8
2 3 1
4 0 1
1 4 1
4 3 4
4 3 3
2 0 4
2 4 1
0 4 4
4 0 2
0 3 3
10 8
2 0 0
3 0 3
0 1 3
0 2 2
0 3 0
2 3 1
1 2 3
0 1 0
0 3 1
0 1 1
10 4
4 0 4
2 1 0
1 1 1
3 0 3
1 4 3
1 2 3
4 2 0
4 2 4
3 1 3
3 4 1
10 3
1 4 3
4 4 0
2 1 1
1 1 2
1 0 1
2 4 1
1 2 0
1 3 0
0 2 4
3 3 2
10 9
0 3 0
0 2 4
1 3 4
1 3 2
3 2 0
0 0 2
2 4 4
1 0 3
1 1 1
0 4 2
10 9
2 3 1
2 2 0
1 2 4
1 0 1
3 1 4
1 2 1
0 4 2
3 4 1
4 0 0
2 2 2
10 9
1 3 3
3 3 3
2 3 1
0 2 0
3 0 3
0 1 3
1 0 1
0 2 1
3 0 2
0 1 1
10 9
0 3 1
3 4 4
1 0 3
3 1 0
1 0 0
4 1 3
3 4 0
1 4 4
4 4 4
2 1 1
10 5
1 0 0
3 1 1
0 3 3
2 3 2
0 2 0
2 1 2
3 1 3
3 3 1
3 0 1
1 2 0
10 7
3 3 3
0 0 2
3 1 3
0 3 1
1 2 0
0 3 2
3 1 1
0 0 0
0 2 3
0 1 3
10 2
0 2 2
0 2 0
2 0 1
2 2 2
1 0 2
0 1 0
1 2 1
1 0 0
0 0 0
2 0 2
10 3
2 1 2
0 1 2
2 0 0
0 0 1
2 0 1
1 2 1
0 1 1
2 0 2
2 1 1
1 1 2
10 7
1 3 3
3 2 3
2 2 3
0 1 0
1 1 2
0 0 0
1 0 1
0 2 0
2 3 3
0 3 1
10 7
2 1 2
1 0 2
0 1 1
1 2 1
1 0 0
0 1 2
1 1 2
0 2 1
1 2 0
0 0 0
10 9
4 2 2
1 0 1
2 0 2
1 0 2
1 3 0
3 3 1
0 0 4
2 4 4
0 2 4
0 3 0
10 9
0 0 1
3 0 0
1 0 0
3 1 3
3 2 3
0 0 0
1 1 0
1 1 3
0 2 0
3 1 2
10 3
1 4 1
3 1 2
0 2 2
1 1 3
1 3 2
0 4 2
0 1 3
2 1 3
1 0 1
1 2 3
10 4
0 3 3
0 3 1
3 3 4
0 0 0
5 4 1
3 2 2
1 0 4
3 0 1
3 3 2
4 1 0
10 5
1 2 0
2 0 2
1 0 1
1 0 2
2 2 1
1 2 2
0 2 0
2 1 2
2 1 1
0 2 2
10 5
2 0 2
0 0 1
2 1 0
2 2 1
1 2 1
1 0 0
1 0 1
1 0 2
0 1 1
0 2 1
10 2
2 0 3
2 1 0
2 2 2
1 2 3
2 0 0
0 0 0
2 3 2
0 3 0
3 1 0
1 3 3
10 7
0 0 4
2 1 1
2 2 2
4 3 0
4 3 4
2 4 3
0 3 0
4 2 2
1 4 0
3 0 4
10 9
2 2 0
0 0 2
0 2 1
1 1 1
1 1 0
2 1 0
0 0 0
1 2 0
0 1 0
1 0 2
10 8
1 1 2
2 0 1
0 1 1
2 1 1
1 0 1
1 0 2
1 2 0
2 1 2
0 1 2
2 2 2
10 4
4 3 2
3 1 4
3 0 1
1 0 3
3 3 2
2 3 3
0 0 1
1 4 1
3 3 1
1 3 3
10 9
3 2 0
1 3 5
5 3 3
4 0 0
0 3 0
3 2 3
5 2 4
5 0 0
0 0 3
2 5 0
10 6
2 0 3
1 3 1
3 2 1
0 1 2
2 2 1
2 2 0
3 2 0
0 1 3
2 0 1
2 2 2
10 4
0 5 4
0 4 0
2 5 5
5 5 2
0 0 4
0 1 1
5 3 1
1 3 5
5 1 5
0 2 3
10 7
2 0 0
0 1 2
1 1 0
1 1 1
3 1 0
3 0 3
1 0 1
2 2 2
2 2 3
2 3 3
10 2
0 1 2
0 2 0
0 1 0
2 2 2
0 0 2
0 0 0
0 1 1
2 2 0
2 2 1
1 0 2
10 6
1 1 1
0 2 1
1 2 1
2 2 0
2 0 1
0 0 2
2 2 2
0 1 2
0 0 1
1 0 0
10 9
3 2 4
2 5 0
0 2 0
1 4 3
1 2 3
2 5 1
1 2 1
4 2 1
4 3 4
0 4 3
10 5
0 2 1
2 2 0
0 0 2
2 1 2
2 0 2
1 0 0
1 1 1
0 1 0
2 1 1
0 0 1
10 2
1 1 1
0 2 2
3 3 1
0 2 3
1 0 0
2 2 2
0 3 0
1 0 2
0 1 3
3 3 3
10 2
3 3 3
4 2 4
2 0 2
4 4 4
4 0 4
3 2 2
2 1 0
4 4 0
1 2 4
1 0 3
10 7
1 2 1
4 3 1
3 2 4
3 3 2
2 1 4
0 2 4
1 3 2
2 3 4
0 2 1
4 1 1
10 3
0 0 0
0 0 2
1 1 0
0 2 1
2 0 0
1 2 2
1 2 0
2 0 1
0 1 2
1 1 1
10 4
2 2 2
1 0 0
1 2 0
0 0 0
2 0 2
1 1 1
1 0 1
1 0 2
0 1 2
0 0 1
10 9
0 0 1
0 2 2
1 2 0
1 2 1
0 1 0
2 2 2
0 0 2
2 2 0
2 1 0
0 1 1
10 7
3 0 3
2 0 0
2 1 3
0 3 0
1 3 3
2 0 3
3 0 2
3 3 2
0 0 0
1 2 2
10 7
3 2 2
2 0 1
0 0 3
2 3 0
0 1 0
3 3 1
2 1 2
3 1 2
1 1 1
0 0 1
10 4
1 1 1
1 3 0
1 0 2
2 0 3
3 1 3
2 1 1
0 3 0
1 1 3
3 2 3
2 2 1
10 9
1 3 1
5 5 0
3 4 2
0 5 4
4 2 3
1 3 3
1 5 3
0 5 1
4 2 4
2 3 3
10 6
4 1 0
2 2 1
0 4 0
3 1 2
1 3 1
1 2 4
0 0 3
2 3 1
2 4 4
4 2 4
10 2
3 1 1
0 0 0
5 3 4
4 4 4
1 0 4
1 0 2
1 1 3
3 0 1
0 5 0
5 1 1
10 3
2 1 2
3 0 0
1 1 0
0 5 3
2 5 0
4 4 5
3 1 4
4 1 0
0 0 4
4 1 1
10 6
2 0 0
2 2 1
0 2 1
2 1 2
1 2 2
0 1 1
0 2 2
1 1 0
0 0 2
0 1 0
10 8
1 2 2
5 3 4
5 4 4
2 0 1
5 1 4
0 3 1
3 5 3
4 3 2
0 0 1
1 5 2
10 6
2 1 3
2 0 3
1 1 2
1 3 1
0 0 3
2 2 3
3 1 1
1 0 2
2 3 2
3 0 1
10 7
1 0 3
3 4 0
2 2 0
0 3 0
3 1 1
3 4 1
4 1 1
1 1 0
4 3 0
4 1 4
10 5
2 2 1
1 0 1
0 0 0
2 1 1
2 0 0
0 1 1
2 2 0
2 0 1
1 0 0
1 1 0
10 8
3 0 0
0 1 0
0 1 3
1 2 1
2 2 2
2 2 3
1 1 3
3 2 0
0 0 3
2 0 1
10 5
0 1 3
2 3 1
0 2 0
1 3 2
3 3 3
0 1 0
0 0 3
3 3 0
3 1 2
2 2 1
10 2
1 1 2
1 2 2
0 2 1
2 2 0
1 1 1
2 0 2
2 1 2
2 2 2
0 1 1
0 2 2
10 7
0 4 4
2 3 5
2 1 3
5 5 5
1 5 3
3 4 0
0 1 5
1 5 2
3 4 2
3 3 3
10 3
1 3 1
0 0 3
2 2 3
0 1 0
0 3 3
2 3 3
1 1 0
3 1 0
0 3 0
3 3 0
10 4
0 2 5
4 2 1
3 4 3
0 2 1
5 5 0
0 0 4
2 5 4
5 4 0
4 3 3
4 1 1
10 3
1 0 1
1 3 0
3 3 3
2 0 0
0 2 2
2 0 1
0 3 2
1 3 3
0 2 0
1 2 2
10 6
1 1 2
2 2 2
0 1 1
1 2 2
1 0 1
1 1 0
0 2 2
0 0 0
0 0 1
2 2 0
10 2
2 0 0
2 2 1
0 2 2
0 1 0
1 2 2
0 0 2
1 2 0
1 1 1
0 1 2
0 2 0
10 5
2 2 1
1 0 0
0 2 0
2 0 1
2 0 2
1 1 1
2 1 2
1 2 2
1 2 0
2 2 2
10 7
2 2 0
0 3 0
1 0 3
0 1 3
0 0 2
3 0 3
3 3 1
2 0 0
2 1 3
1 3 3
10 6
1 2 1
3 1 0
2 1 1
0 0 1
3 3 0
2 3 1
2 2 0
2 3 3
0 3 2
2 1 3
10 3
1 0 3
1 1 4
3 4 1
1 4 4
3 4 4
1 1 1
4 0 2
4 2 4
0 4 1
2 4 2
10 2
2 1 1
3 3 1
3 1 1
0 2 1
3 1 0
3 0 1
2 3 3
2 2 0
0 1 2
2 1 0
10 8
4 2 3
2 4 0
1 3 3
2 3 2
2 2 3
2 3 3
3 3 1
1 2 4
3 4 0
1 2 0
10 8
0 1 2
2 1 1
1 0 2
0 3 1
1 3 0
3 0 1
3 0 2
0 0 2
3 0 0
3 2 2
10 8
0 0 0
2 2 0
2 1 0
1 2 0
1 0 1
0 2 0
2 0 0
0 1 2
2 2 1
1 2 2
10 8
3 4 4
0 4 0
2 2 4
1 1 2
2 3 1
2 3 4
4 2 0
2 1 2
3 1 0
4 3 2
10 5
2 1 1
2 3 0
2 1 3
3 3 1
1 2 1
0 0 2
3 3 3
1 0 1
1 1 3
0 0 3
10 5
2 0 3
0 2 1
1 2 2
2 3 1
4 1 1
0 0 1
0 4 4
0 1 0
0 2 0
1 2 1
10 3
0 0 1
0 1 1
1 0 2
1 0 1
2 1 3
3 2 2
1 2 0
3 2 3
3 1 3
1 0 0
10 4
5 0 0
3 0 4
2 4 1
3 5 3
1 3 4
3 3 5
1 3 2
5 4 0
2 5 5
4 1 2
10 2
0 3 2
1 0 0
1 2 2
2 0 3
1 0 2
3 0 2
2 3 1
1 2 0
1 1 0
1 2 3
10 4
0 3 3
1 3 3
3 2 3
2 1 1
3 1 2
2 2 2
3 0 3
1 2 2
1 3 0
3 1 0
10 4
2 2 2
0 0 1
1 2 0
1 0 0
2 2 0
2 1 2
0 0 2
0 2 1
1 1 1
0 2 2
10 7
0 0 0
2 2 0
2 2 2
2 0 2
1 0 0
1 1 0
2 1 0
2 0 1
0 2 1
0 1 2
10 5
3 2 1
0 1 5
0 0 1
4 3 2
2 3 1
3 1 4
1 1 3
0 0 3
5 0 0
5 5 0
10 5
0 3 1
1 3 1
1 0 2
3 1 3
0 3 3
1 2 0
3 1 2
1 1 3
0 0 1
0 0 2
10 9
2 0 1
2 0 3
1 2 0
0 2 3
1 0 3
3 1 1
0 0 0
0 1 3
0 2 1
3 1 2
10 5
2 0 0
0 2 1
2 2 1
0 2 0
1 0 2
0 1 1
1 2 1
2 2 0
2 1 0
1 0 0
10 8
0 1 0
2 2 2
1 1 0
0 2 1
2 1 0
2 1 1
1 2 2
2 2 1
2 2 0
0 0 2
10 6
1 4 3
3 4 4
0 1 2
0 2 4
2 3 0
1 3 0
4 0 1
2 1 4
2 4 4
4 0 4
10 2
2 3 1
2 0 3
0 2 2
3 3 0
2 1 0
2 3 2
3 2 3
0 2 3
3 0 1
1 2 1
10 8
0 2 2
1 1 1
1 1 0
1 0 3
1 1 2
0 4 2
4 3 1
1 4 1
4 4 4
1 0 1
10 3
1 0 1
0 0 3
2 1 2
3 0 1
2 3 2
3 2 1
0 1 0
1 0 0
3 1 0
2 0 0
10 3
1 4 0
1 0 5
5 3 5
3 2 4
2 5 1
4 1 3
0 5 4
1 4 2
5 4 5
1 0 4
10 2
4 4 2
4 2 2
4 1 3
5 4 3
1 0 3
1 1 1
1 4 5
1 5 4
5 5 0
3 0 5
10 3
0 0 0
0 1 1
2 0 1
1 1 2
2 1 0
2 0 0
2 1 2
0 2 0
0 2 1
1 2 1
10 7
1 0 2
2 2 0
0 2 1
0 1 2
0 2 0
0 0 2
0 1 1
2 2 1
1 1 1
1 1 2
10 4
0 4 3
0 1 0
0 0 0
4 0 3
1 1 1
0 2 1
4 2 0
3 4 3
3 3 2
2 2 4
10 8
1 2 2
3 3 3
1 0 0
3 1 2
3 3 0
0 1 2
0 2 2
2 3 0
0 3 1
0 2 1
10 3
1 0 3
3 0 1
1 0 0
3 0 0
0 2 0
1 3 3
0 3 2
1 3 1
3 2 1
0 2 2
10 2
2 2 0
2 1 3
4 1 1
1 2 1
3 4 1
0 3 3
4 1 3
4 2 0
4 0 1
2 3 4
10 5
1 2 5
2 5 2
5 5 4
3 0 4
2 2 1
2 5 3
1 5 0
3 1 0
3 0 2
2 0 2
10 4
2 0 1
0 0 1
2 0 2
0 1 1
1 1 2
1 0 1
1 2 0
2 2 2
1 2 2
2 2 0
10 4
2 2 2
4 2 0
2 2 4
4 2 3
1 2 1
0 4 0
2 4 4
1 2 3
0 3 4
2 2 0
10 8
1 3 3
0 0 3
3 0 0
2 2 3
2 0 1
1 1 1
2 1 2
0 2 1
1 1 2
0 2 2
10 4
2 0 4
3 4 1
1 4 2
1 1 2
3 3 0
2 1 2
3 1 1
2 1 4
3 3 4
4 4 2
10 4
1 2 4
2 2 1
0 1 1
0 0 1
1 3 4
3 2 3
1 0 0
4 4 2
2 2 3
3 0 2
10 8
1 3 2
4 2 4
3 2 2
3 3 0
2 4 4
3 4 0
4 3 3
2 4 0
0 1 3
0 4 1
10 7
2 1 0
0 3 3
3 3 2
0 0 1
4 1 3
2 1 2
4 4 2
2 2 3
3 2 4
3 3 0
10 6
0 2 3
1 2 0
1 3 1
0 3 1
3 2 0
2 2 3
0 1 3
3 1 2
3 0 3
0 3 3
10 9
0 0 3
4 4 1
0 4 1
3 1 1
0 4 0
3 1 3
4 3 2
3 4 2
4 2 4
0 3 1
10 7
4 3 1
2 1 1
3 1 0
4 2 4
3 0 1
4 3 2
2 3 3
4 2 2
2 3 0
0 0 0
10 6
2 0 4
3 0 4
1 0 4
1 3 0
3 4 2
0 1 2
4 1 1
4 4 1
1 3 4
1 4 2
10 2
2 2 1
1 2 2
3 3 3
0 2 2
3 3 0
3 0 3
1 3 2
2 1 3
3 1 0
1 2 0
10 6
0 1 2
0 1 0
1 1 1
2 3 2
0 3 3
3 3 3
2 2 2
0 1 3
2 0 2
3 0 2
10 3
1 0 1
3 0 0
1 3 0
3 1 3
1 1 3
2 3 1
3 1 1
2 2 1
0 0 0
3 0 1
10 3
1 1 0
0 0 2
2 0 1
2 1 2
0 1 1
1 2 1
0 2 0
2 0 2
1 1 1
2 0 0
10 5
0 1 0
2 2 1
0 2 2
2 0 2
1 1 0
1 2 2
1 2 0
0 1 1
1 0 1
2 1 1
10 7
2 2 2
0 2 1
1 2 0
2 0 0
0 1 1
1 2 1
2 2 0
0 2 0
0 1 2
1 1 2
10 5
1 2 3
0 3 0
2 0 0
0 0 2
3 0 2
3 3 1
2 2 3
1 2 1
1 1 2
0 1 3
10 9
0 2 2
0 2 1
0 0 0
0 1 0
0 0 1
2 0 2
1 2 2
2 0 0
0 1 1
1 0 1
10 6
1 3 2
2 1 4
0 3 4
2 2 5
2 1 3
2 5 1
3 3 5
0 5 0
2 4 2
3 4 1
10 4
1 5 5
0 5 4
0 5 3
0 3 0
3 3 5
5 0 1
3 4 4
3 1 3
4 1 2
3 2 0
10 7
2 3 1
1 4 1
4 3 1
4 4 4
4 0 1
0 1 2
3 3 4
1 0 2
0 0 0
2 4 0
10 8
0 0 0
1 2 1
0 2 2
2 0 0
2 0 2
0 1 2
1 2 0
2 2 2
2 2 0
2 1 0
10 3
0 3 0
2 3 1
2 0 3
0 0 3
4 4 2
4 1 3
0 2 2
1 2 1
0 0 0
1 2 4
10 9
3 1 1
2 0 0
3 3 1
2 2 0
3 2 3
0 3 3
2 2 1
1 0 3
1 1 3
1 3 0
10 7
1 0 0
0 1 0
1 1 3
0 4 4
1 0 3
3 3 2
3 0 4
3 4 0
3 2 3
2 1 4
10 7
1 0 0
3 3 1
0 1 3
1 0 1
3 2 3
3 3 3
0 3 0
0 1 0
2 1 1
0 3 1
10 2
0 1 3
2 3 1
4 1 0
0 4 1
3 4 4
0 1 4
1 1 1
3 0 1
1 2 0
2 3 3
10 6
0 0 1
3 0 4
5 5 0
1 0 3
5 3 5
1 5 0
0 2 2
0 3 3
0 2 3
2 3 1
10 2
0 3 2
4 5 3
4 2 2
1 2 1
5 3 0
1 5 3
2 0 5
4 5 1
0 3 5
5 3 5
10 9
1 1 2
2 0 1
1 2 1
2 0 2
0 0 2
1 0 0
1 1 1
2 1 0
2 2 1
1 0 2
10 3
5 1 4
3 0 5
2 3 4
5 3 2
3 2 3
3 0 0
0 4 5
5 2 3
5 0 3
3 1 2
10 9
1 0 3
2 4 4
4 0 3
0 4 0
0 4 4
1 1 3
0 2 2
3 3 4
0 1 3
3 1 0
10 2
2 1 3
2 2 3
0 1 0
2 0 0
3 0 1
2 0 2
2 3 0
1 2 2
1 0 3
1 0 2
10 5
3 1 2
1 1 3
3 3 2
1 0 4
3 2 4
4 0 0
2 4 0
4 4 4
0 0 4
2 3 1
10 9
1 3 1
1 3 3
2 0 2
3 1 3
3 1 2
2 0 3
1 2 1
0 0 3
2 1 2
0 3 0
10 5
3 2 2
2 1 0
2 0 3
3 1 0
1 3 1
1 3 0
1 2 0
2 2 0
3 2 0
1 0 0
10 2
3 0 3
1 0 1
2 1 0
4 0 4
3 1 2
4 4 2
4 4 0
4 0 2
4 0 1
1 4 0
10 6
1 0 3
0 1 2
1 3 0
1 1 1
0 0 2
0 0 3
3 1 2
1 3 1
3 0 3
1 1 3
10 7
0 1 3
4 0 2
4 0 3
1 3 0
4 0 0
0 4 4
2 4 2
3 3 3
4 4 2
4 1 0
10 2
0 0 1
2 1 1
1 2 1
0 2 0
1 0 2
2 2 0
2 2 1
1 0 1
0 2 2
2 0 1
10 4
0 3 1
1 4 1
2 3 4
1 4 0
3 3 4
1 4 3
1 4 4
2 0 4
2 4 4
3 2 4
10 7
1 0 3
2 1 3
1 0 2
0 0 0
1 1 0
2 0 3
3 0 0
2 0 2
1 3 0
0 1 1
10 4
1 2 0
2 1 2
2 0 0
2 0 1
2 1 1
2 2 2
0 2 2
0 1 0
1 1 0
0 0 0
10 4
3 0 3
1 4 4
1 2 4
2 1 1
3 1 0
0 2 4
2 3 1
3 4 2
3 3 0
1 1 1
10 8
0 3 0
2 4 3
3 3 0
5 3 5
5 3 4
1 0 4
5 3 2
0 1 3
2 3 3
2 3 5
10 2
0 1 2
1 2 1
0 1 0
0 2 1
0 0 1
0 0 0
1 2 2
1 0 2
0 1 1
2 2 0
10 5
2 0 1
1 0 0
2 1 1
2 0 2
2 2 1
2 1 2
2 2 2
1 1 2
0 2 0
0 1 1
10 3
2 0 0
3 3 1
0 1 2
2 2 1
1 3 0
3 0 2
0 0 0
2 3 1
0 3 0
2 1 2
10 7
3 0 3
2 3 3
0 3 1
2 2 1
3 0 0
1 3 2
0 1 2
1 0 3
1 1 1
1 1 2
10 7
5 2 0
5 5 4
0 3 0
1 2 3
5 5 0
2 5 4
1 2 0
2 2 3
0 5 2
3 2 2
10 5
2 1 1
0 2 2
2 1 2
0 1 2
1 1 2
1 2 0
2 0 1
1 1 0
0 0 2
2 0 0
10 8
2 3 1
3 3 1
2 1 0
2 0 2
3 3 3
2 1 2
2 1 3
2 3 0
1 2 1
1 0 2
10 2
1 2 1
2 1 0
1 2 0
0 0 0
2 0 1
0 0 2
1 0 2
1 1 2
0 1 1
2 0 0
10 5
0 0 1
2 3 0
3 2 2
2 1 3
3 2 1
0 3 2
1 2 0
3 1 0
3 3 0
2 0 0
10 6
3 2 3
1 2 1
0 1 1
1 3 1
1 2 0
0 1 2
0 0 2
3 3 2
0 3 0
1 0 0
10 2
1 3 0
4 1 4
4 5 5
3 1 1
0 5 1
1 2 1
0 2 3
3 0 5
1 0 5
0 3 5
10 8
4 2 4
1 1 2
3 4 1
4 2 3
1 1 4
2 2 1
3 0 1
4 1 3
3 2 4
4 4 3
10 8
0 0 5
5 4 0
4 1 1
0 0 2
0 2 2
3 3 0
4 3 2
1 1 4
4 4 1
3 1 5
10 5
0 0 1
1 0 0
1 0 1
2 2 1
2 2 0
2 0 0
1 1 1
2 0 1
1 2 0
2 0 2
10 6
0 2 4
3 2 5
1 1 0
4 0 1
5 3 2
3 1 0
2 2 2
3 3 0
4 1 0
1 0 0
10 8
0 2 0
2 2 1
0 1 3
0 0 3
3 0 1
2 1 0
3 0 3
2 2 0
2 1 3
1 0 1
10 8
1 2 0
1 0 2
0 2 2
2 0 2
2 2 1
2 1 2
0 1 0
1 2 2
1 0 1
2 0 0
10 9
2 3 1
2 3 3
1 3 3
1 1 2
0 0 1
2 1 0
1 1 1
1 1 0
3 1 2
2 3 0
10 9
0 3 0
2 0 2
1 4 0
3 3 2
1 2 3
3 1 2
0 0 4
1 3 0
2 2 1
0 1 4
10 4
2 0 3
3 3 2
0 3 2
2 1 3
3 1 0
0 3 1
1 2 1
1 1 1
3 0 1
0 1 2
10 8
4 5 2
4 1 4
2 2 4
4 0 5
1 0 4
5 4 1
4 4 5
3 0 5
3 3 5
5 3 2
10 6
0 1 4
5 1 2
5 4 5
3 5 5
0 0 4
1 3 2
5 0 4
5 1 4
4 4 0
4 3 1
10 3
2 0 2
0 1 2
0 2 4
4 2 4
4 3 3
2 1 2
4 0 1
2 3 4
4 4 2
0 0 4
10 2
4 1 0
2 1 0
3 0 1
4 3 4
2 5 1
4 2 3
4 5 0
5 2 3
0 5 4
5 5 3
10 9
3 3 0
2 1 2
2 2 3
2 0 1
0 2 1
2 0 0
2 3 2
3 2 1
0 0 1
2 0 3
10 7
1 1 2
0 2 1
3 1 2
2 0 0
1 2 1
3 2 3
3 0 0
1 1 3
0 1 2
0 3 2
10 7
3 2 0
1 2 3
0 2 0
1 1 2
1 3 1
2 4 2
1 3 4
4 1 3
4 1 4
2 4 3
10 3
2 2 3
3 1 3
1 2 4
3 2 2
0 2 2
0 4 1
4 1 4
2 0 2
3 2 0
3 3 1
10 4
0 2 3
1 2 3
0 0 3
3 3 3
1 0 1
2 3 0
3 2 1
2 0 0
2 2 2
2 3 2
10 7
2 2 2
1 2 1
0 1 1
2 0 1
1 2 2
2 2 1
2 1 2
0 2 2
2 0 2
1 1 0
10 9
4 1 2
2 1 4
0 2 3
0 1 3
4 3 3
4 3 2
3 2 0
3 3 0
0 0 1
1 1 4
10 2
3 2 2
0 0 3
0 1 1
3 2 4
1 1 1
2 2 3
1 2 1
2 1 4
1 4 1
2 3 2
10 4
1 1 2
1 0 0
3 2 3
0 0 2
2 1 1
2 3 3
0 2 1
2 0 2
0 0 3
1 1 1
10 3
0 2 1
0 3 3
0 0 1
3 3 1
1 2 1
2 3 2
4 4 4
0 0 3
4 2 1
3 0 2
10 2
5 3 0
2 0 1
0 2 3
4 3 4
4 5 2
3 3 5
0 3 1
2 2 4
1 5 0
4 1 3
10 8
0 2 3
1 4 3
1 5 0
5 1 3
2 5 1
0 5 1
3 3 3
5 4 3
4 2 4
2 3 2
10 7
0 0 1
3 1 3
0 1 2
0 1 3
1 3 2
1 1 2
3 3 3
3 3 2
1 3 1
2 3 2
10 5
1 3 3
0 1 1
2 2 0
2 2 1
3 1 2
2 2 2
3 3 1
3 3 0
0 3 0
3 2 2
10 3
2 0 2
5 5 5
5 4 2
3 5 5
2 4 5
0 4 1
0 3 2
2 2 2
5 0 1
1 2 0
10 6
2 3 1
3 0 2
0 0 1
2 3 3
3 1 2
2 2 2
3 3 0
1 0 3
2 2 0
3 2 3
10 3
1 0 0
2 1 2
2 2 1
2 0 2
1 2 2
1 1 2
1 1 1
1 0 2
0 0 0
0 0 2
10 2
0 1 5
1 3 3
2 3 1
0 4 4
2 3 5
4 3 0
4 3 2
5 5 2
1 2 4
2 2 5
10 4
2 1 1
0 1 0
2 0 2
1 1 2
0 2 0
0 0 0
2 2 0
1 0 0
2 0 0
1 0 2
10 9
2 4 0
4 4 3
4 1 0
0 1 2
3 0 0
1 1 0
4 0 2
4 4 4
3 2 0
0 4 2
10 3
2 2 0
2 0 2
1 0 2
2 1 2
1 2 2
2 2 2
0 1 0
1 0 1
0 0 1
1 0 0
10 5
0 2 2
2 2 2
2 0 1
0 1 1
0 0 1
0 0 2
1 0 2
1 1 0
2 1 0
2 0 2
10 4
4 4 0
4 2 1
4 1 2
0 0 2
4 1 0
3 1 3
3 2 4
3 1 2
3 1 1
1 4 1
10 8
1 2 3
3 2 2
4 4 0
1 4 1
3 2 3
3 2 1
3 1 3
3 0 4
3 0 3
4 1 2
10 9
4 1 2
0 0 1
2 2 3
4 3 3
2 0 1
1 0 1
3 4 3
0 3 0
4 4 1
4 2 4
10 5
3 4 5
5 4 0
0 4 3
0 5 0
3 0 5
3 4 1
2 3 3
5 4 2
3 0 0
3 3 2
10 5
2 2 1
1 1 2
3 0 0
2 3 3
2 3 1
0 2 3
1 1 1
0 0 2
1 2 1
3 1 0
10 3
2 0 4
4 1 3
3 4 1
3 0 3
0 1 4
4 1 0
0 0 1
4 2 0
3 3 4
2 2 4
10 5
0 0 1
2 0 2
2 2 1
1 0 1
2 1 2
2 2 2
1 0 2
0 1 0
1 2 2
2 1 1
10 4
5 3 2
5 0 2
1 3 1
0 0 2
2 4 0
4 5 4
4 2 2
5 5 2
5 2 5
3 3 3
10 6
3 3 0
0 1 1
3 2 2
1 1 2
0 2 2
0 3 2
0 1 3
2 0 0
3 1 3
1 1 1
10 5
2 0 2
2 2 2
2 3 1
3 1 3
0 1 3
1 3 1
2 0 0
0 3 3
1 3 2
0 2 1
10 2
3 0 1
4 2 0
2 1 3
1 0 3
2 3 2
1 2 3
1 1 4
0 0 2
3 2 3
0 3 3
10 8
0 1 0
1 0 0
0 0 0
2 2 0
0 2 0
0 1 2
0 0 2
0 2 2
1 0 2
2 2 2
10 2
2 1 2
0 0 1
2 0 0
0 1 1
0 2 2
1 2 1
1 0 0
1 1 2
0 2 1
2 2 0
10 3
0 2 0
1 0 1
1 1 2
0 0 2
2 2 1
0 1 0
0 1 2
2 2 0
2 1 1
1 0 0
10 2
0 0 3
4 0 5
2 5 1
5 3 1
1 1 4
4 2 4
5 3 4
3 2 5
2 3 2
2 0 0
10 5
2 3 2
3 2 0
1 3 2
1 0 0
0 1 0
2 1 2
3 0 0
3 3 0
2 3 0
1 3 0
10 3
5 5 2
2 4 0
3 2 5
2 3 2
1 1 3
4 3 1
1 0 1
1 0 2
0 3 0
0 1 5
10 8
4 1 2
1 0 3
0 2 1
0 3 4
2 1 0
4 1 4
1 1 0
1 0 2
2 1 2
1 1 3
10 4
1 2 2
0 0 1
2 0 1
1 1 0
1 2 1
0 2 2
1 2 0
1 0 0
2 0 0
2 1 0
10 2
2 2 0
0 0 0
0 0 2
0 1 2
1 1 2
1 1 1
2 0 1
2 1 0
1 0 2
1 0 0
10 3
4 2 1
5 0 5
1 5 2
4 3 5
3 1 2
5 2 5
4 2 0
3 5 0
4 3 1
1 3 3
10 8
5 5 5
4 4 3
3 2 1
1 5 1
5 3 0
4 3 1
2 5 1
4 5 2
1 1 0
4 0 3
10 2
3 1 1
2 0 0
0 3 0
2 0 2
2 3 1
3 3 0
3 2 2
0 0 2
3 3 3
0 2 1
10 7
3 4 5
4 1 4
3 0 0
4 0 1
5 5 1
3 5 4
1 4 2
2 3 1
4 3 1
0 3 0
10 3
0 1 2
1 4 4
0 1 4
0 0 4
3 3 0
3 2 3
4 2 1
3 2 1
3 0 4
0 0 0
10 6
1 2 2
2 1 0
0 2 1
0 1 1
0 0 2
2 0 0
1 2 1
2 2 0
1 0 1
2 2 1
10 5
2 0 0
4 4 1
4 3 4
0 2 2
2 3 4
3 3 1
1 1 3
2 0 4
3 0 1
2 4 1
10 8
1 2 1
2 0 0
0 1 0
2 2 1
0 0 2
2 2 2
2 1 1
1 1 2
0 0 0
0 1 1
10 5
0 2 2
2 4 4
1 3 0
1 3 1
4 0 1
4 3 1
3 0 1
2 2 0
4 4 4
1 1 2
10 7
2 3 3
2 3 0
2 1 1
3 0 1
2 0 3
1 3 2
2 0 2
3 2 1
3 2 0
0 0 2
10 4
4 5 3
1 5 1
0 4 0
0 0 5
4 4 0
0 2 0
4 2 1
5 0 2
1 0 1
3 5 2
10 2
0 2 1
1 0 0
1 2 2
0 0 2
2 1 2
0 1 0
0 1 2
0 1 1
1 0 1
0 0 0
10 4
1 0 0
0 0 0
2 0 0
2 2 1
0 1 1
2 2 0
2 1 2
2 0 1
1 2 2
1 1 2
10 3
3 3 5
3 2 1
1 5 5
0 4 3
1 3 4
4 4 0
2 1 2
2 2 5
1 5 0
5 5 5
10 8
3 4 2
2 1 2
3 3 0
0 2 2
5 5 5
3 3 1
0 5 4
3 0 1
0 4 1
2 2 3
10 7
1 1 1
2 3 2
0 2 4
2 0 3
3 1 0
4 4 1
0 4 1
0 1 0
0 2 2
1 3 0
10 7
2 2 1
1 0 0
2 1 0
0 0 0
1 1 0
0 0 2
1 0 2
1 1 2
0 2 2
1 1 1
10 4
0 5 1
3 0 2
3 3 1
1 1 2
0 1 0
2 0 2
5 5 0
0 3 5
5 5 1
4 4 2
10 3
3 1 1
2 2 0
1 0 3
1 2 1
2 0 1
0 3 2
3 3 0
2 1 3
1 0 2
3 1 3
10 5
0 1 1
0 0 3
3 0 2
0 3 2
2 0 0
2 2 0
0 0 2
2 3 2
3 3 1
2 2 2
10 6
0 3 1
0 0 0
1 1 0
3 2 2
0 2 0
1 3 1
1 0 3
1 3 2
2 0 1
2 2 1
10 8
3 4 2
4 1 3
5 0 5
1 1 3
1 1 4
1 5 1
5 0 0
3 2 5
2 1 3
3 4 3
10 3
1 0 2
0 2 2
2 1 1
2 2 1
2 0 0
1 2 1
1 2 0
1 1 0
2 2 2
1 0 0
10 3
2 0 3
0 1 2
4 2 3
1 4 2
1 1 4
4 0 2
4 0 4
2 4 0
2 4 4
4 4 1
10 7
2 2 0
1 1 2
1 4 2
5 5 4
3 0 3
1 1 5
1 4 3
3 5 3
5 1 4
0 3 2
10 7
2 4 0
2 3 2
0 2 1
3 3 2
4 0 2
0 3 4
3 1 2
3 0 2
2 2 0
3 0 4
10 6
4 3 2
5 1 1
4 4 4
3 3 1
3 1 2
4 3 4
0 4 0
4 1 4
3 2 5
4 0 0
10 2
1 0 3
2 3 5
5 5 0
3 2 5
0 5 0
0 3 5
4 4 2
4 2 4
5 0 3
4 0 1
10 8
0 1 0
2 2 2
2 0 0
1 0 1
1 1 0
0 2 1
0 0 0
2 1 1
1 0 0
2 0 2
10 2
0 2 0
1 2 2
2 0 2
0 2 2
1 0 1
2 1 2
0 2 1
1 1 1
1 0 0
1 1 2
10 3
3 2 1
3 0 5
4 1 0
1 4 1
4 4 5
3 4 1
2 1 0
0 5 4
4 4 1
1 2 3
10 6
0 1 3
1 0 3
1 3 0
2 1 3
2 3 2
0 2 3
2 1 2
0 3 2
1 0 2
2 2 0
10 8
2 3 2
2 1 1
1 0 0
2 3 0
0 3 3
1 1 3
3 2 0
3 3 2
0 2 0
2 0 2
10 5
2 4 3
2 1 3
3 0 3
1 1 0
0 1 3
2 3 4
1 2 3
0 2 2
4 4 0
0 0 0
10 6
3 0 3
0 3 2
1 1 3
0 1 3
0 2 3
2 2 3
0 1 1
2 3 1
2 0 1
1 0 1
10 4
3 2 0
2 3 2
2 0 0
2 4 2
3 4 2
1 2 1
0 4 3
1 0 3
1 4 1
0 3 4
10 8
2 4 0
2 4 1
0 1 2
3 4 2
1 0 3
1 2 1
1 1 4
3 1 0
0 3 1
4 3 4
10 3
3 0 2
2 2 2
1 0 2
1 2 2
1 3 0
3 2 1
3 3 0
0 2 1
2 1 1
3 3 3
10 8
2 0 0
1 4 1
0 1 4
3 2 0
4 4 3
3 2 3
2 3 4
0 2 2
4 3 0
4 0 2
10 2
2 3 2
1 2 2
4 2 1
1 3 3
1 3 2
0 4 3
1 4 4
0 2 0
1 1 4
4 1 1
10 3
1 4 1
4 4 3
0 1 0
2 3 2
3 3 4
3 2 4
2 2 1
4 4 0
3 0 2
2 3 3
10 6
1 0 2
2 0 1
0 2 1
2 1 2
2 0 2
0 2 0
0 2 2
2 0 0
2 2 0
2 2 2
10 8
2 1 1
2 0 3
3 1 3
2 1 0
0 0 1
2 1 3
3 0 3
3 2 2
3 2 0
1 2 2
10 4
2 2 1
2 2 2
0 2 0
0 0 3
3 3 1
0 2 3
3 2 2
3 0 1
1 2 2
1 3 0
10 3
3 3 4
0 4 4
2 4 3
4 1 0
4 3 2
0 4 3
0 2 3
0 1 2
1 1 1
3 0 4
10 7
0 4 0
4 3 2
2 3 4
2 0 3
3 0 4
3 2 2
0 4 3
1 2 1
4 2 3
3 1 4
10 8
2 0 3
0 2 1
2 4 4
0 3 1
4 0 0
3 1 3
2 2 3
3 1 4
2 2 0
3 0 3
10 3
2 2 2
0 1 0
1 0 0
2 0 2
2 0 0
1 0 2
0 2 2
0 1 2
2 0 1
1 2 1
10 9
0 2 2
1 0 1
2 0 1
1 0 0
0 2 0
1 1 1
0 1 1
0 1 0
0 2 1
2 2 2
10 8
1 3 4
0 0 0
3 4 0
1 2 2
0 0 4
0 1 1
3 2 2
2 1 2
3 0 1
1 4 2
10 7
1 1 2
2 0 1
2 2 0
1 0 0
0 0 1
1 2 0
1 2 1
2 0 0
0 0 2
0 2 2
10 4
0 2 2
1 2 2
0 0 0
1 1 2
2 1 0
0 2 1
0 2 0
1 2 1
2 2 1
1 0 0
10 3
3 1 0
0 3 0
1 2 1
0 3 3
1 2 3
0 1 0
1 0 2
1 0 3
0 0 0
3 3 0
10 5
1 3 3
0 0 0
2 3 0
2 0 2
2 1 1
0 0 1
2 2 1
0 2 0
3 1 2
1 3 0
10 6
2 5 4
0 0 3
4 1 4
4 1 1
1 4 5
4 0 5
1 2 0
2 1 5
4 4 4
3 3 3
10 8
1 2 1
5 3 3
2 3 0
2 3 3
0 1 0
5 0 0
4 3 3
5 0 5
2 3 1
0 0 5
10 3
0 1 3
3 0 3
2 3 1
3 2 1
0 3 0
0 1 1
0 2 0
2 1 0
1 2 3
1 0 0
10 2
2 0 1
0 0 2
2 2 0
1 2 2
2 1 0
2 2 1
2 0 2
1 1 2
1 0 2
0 2 0
10 9
2 1 1
2 0 3
2 3 0
3 0 2
1 0 3
1 2 3
0 0 0
3 2 0
3 1 0
3 1 3
10 6
1 1 1
2 2 0
2 2 2
2 1 2
1 2 1
2 0 0
1 0 2
0 0 2
1 0 0
0 2 0
10 4
4 3 1
1 4 1
2 4 2
0 3 2
4 0 3
0 0 4
3 0 0
0 0 2
1 0 1
2 3 2
10 7
2 3 0
0 3 0
2 2 3
1 3 3
1 0 0
2 1 1
1 3 2
2 3 1
3 2 1
2 2 0
10 6
2 3 1
3 2 1
1 2 4
2 1 2
1 2 2
4 0 3
4 2 2
4 1 2
3 1 0
1 1 2
10 5
4 4 0
3 4 3
1 3 4
3 4 2
2 1 4
1 1 2
3 3 4
2 4 0
2 3 2
0 3 0
10 7
0 2 0
0 1 0
1 2 0
1 1 1
1 2 1
0 0 0
2 2 1
1 1 0
1 0 2
0 2 2
10 4
1 1 1
1 0 0
2 1 2
1 2 2
0 2 1
1 0 2
0 0 1
2 0 2
0 1 1
0 2 2
10 3
3 4 0
0 0 3
2 1 0
1 4 3
1 1 3
2 0 0
1 0 0
4 4 1
0 4 0
0 4 4
10 9
4 5 1
4 1 4
0 3 3
5 3 1
4 5 4
3 3 2
5 2 2
0 3 2
5 0 3
5 2 0
10 6
2 3 1
1 1 1
1 1 0
4 1 3
5 2 1
4 1 5
2 2 4
2 2 5
3 3 5
3 4 3
10 2
3 4 4
3 5 5
0 5 1
0 1 2
3 2 0
3 3 5
3 3 0
5 4 2
0 4 5
0 3 3
10 7
0 2 4
4 3 2
1 4 3
0 1 1
0 3 2
0 2 2
4 2 2
3 1 4
0 1 0
3 2 0
10 7
0 5 3
5 5 1
3 5 0
2 0 5
1 1 0
5 3 0
2 5 1
3 2 4
5 1 0
3 4 0
10 5
0 3 3
0 2 1
2 1 2
0 0 1
0 0 3
3 1 1
0 2 2
1 2 3
1 1 1
1 2 1
10 5
4 4 5
5 3 1
3 3 3
4 5 0
5 1 5
1 5 5
0 2 4
3 0 2
5 4 5
3 1 5
10 9
5 3 1
3 4 3
3 2 4
1 1 3
5 0 0
4 1 1
4 2 4
2 5 2
2 4 4
4 2 1
10 3
1 2 1
3 5 4
5 4 3
4 3 3
2 5 5
5 1 0
3 5 1
2 4 3
5 1 5
2 0 3
10 3
0 1 3
0 2 1
1 1 3
1 1 1
0 0 1
2 0 2
1 0 1
0 0 2
1 0 2
1 1 2
10 8
1 3 3
0 2 1
3 3 4
2 2 4
4 0 0
2 0 0
0 2 2
2 0 1
2 2 3
0 4 1
10 3
3 1 5
4 2 1
2 2 3
5 3 5
1 5 2
5 1 2
1 0 1
3 0 5
4 1 2
1 5 3
10 7
3 3 5
0 3 5
4 1 5
3 4 5
3 2 2
0 0 2
0 2 5
2 4 5
1 5 3
3 3 3
10 9
0 0 0
3 0 0
2 1 2
2 0 0
3 2 0
3 3 0
3 2 3
1 3 1
0 2 1
3 1 3
10 6
1 3 3
4 0 2
1 3 4
3 4 1
4 4 0
0 4 4
2 1 4
3 1 3
2 3 2
0 3 1
10 3
2 0 4
3 4 0
2 4 4
3 3 3
0 3 4
3 0 1
4 1 1
1 4 3
2 4 2
4 1 3
10 3
5 5 5
3 2 0
4 5 4
2 1 4
2 2 1
3 1 3
3 3 2
2 5 2
3 2 4
3 5 3
10 8
0 4 2
2 4 3
0 1 0
4 0 2
5 4 1
4 0 4
0 5 4
2 5 4
5 3 5
5 4 4
10 3
0 2 2
0 1 1
2 0 0
2 1 2
2 2 0
0 2 1
1 0 2
2 0 2
1 0 1
1 1 0
10 4
1 0 2
0 1 3
3 3 0
3 1 2
2 0 1
0 1 2
0 2 0
3 2 2
3 0 1
2 0 0
10 9
1 0 1
1 0 2
3 0 0
3 1 2
0 3 2
2 3 1
3 2 3
0 1 0
2 2 1
1 2 0
10 4
3 4 4
1 0 4
1 2 2
2 4 4
3 0 3
1 4 1
2 1 2
4 2 2
3 2 3
4 1 0
10 8
0 1 0
3 1 1
1 2 2
0 3 0
3 2 3
1 3 1
0 2 1
2 2 3
0 3 3
0 3 2
10 9
0 0 0
1 2 2
0 0 1
1 1 0
2 2 0
0 1 2
1 1 2
2 0 1
0 1 0
1 1 1
10 2
3 3 0
2 0 2
2 1 2
2 3 3
4 1 1
3 3 3
3 2 0
0 0 2
0 0 4
4 3 3
10 7
3 4 3
1 2 2
1 1 4
3 3 4
4 2 2
2 1 0
2 4 0
2 1 1
0 0 1
2 2 0
10 5
4 2 4
2 2 0
1 4 1
4 1 4
3 4 0
4 4 3
4 1 2
4 1 1
3 2 0
0 3 2
10 6
0 1 1
1 3 2
3 1 3
2 2 2
0 3 0
3 1 2
2 2 0
1 3 0
0 1 3
3 3 0
10 8
0 3 2
0 3 1
1 1 2
1 1 0
2 2 1
3 0 2
3 3 2
2 1 0
3 3 0
3 2 1
10 3
2 4 4
2 0 4
4 3 5
5 1 3
0 5 4
0 4 1
1 1 2
2 0 2
2 3 1
5 3 4
10 4
4 0 2
0 2 1
3 0 0
1 0 3
0 1 1
3 3 0
0 1 3
4 4 0
0 4 1
2 2 0
10 5
2 1 0
0 0 1
0 0 0
0 2 1
0 2 2
1 1 2
1 2 0
0 2 0
1 0 0
2 2 1
10 5
4 0 2
4 1 2
4 3 1
4 1 0
1 0 3
3 4 1
3 4 2
1 4 4
4 3 4
0 4 1
10 8
3 5 4
3 2 2
3 5 0
5 3 3
4 0 0
4 1 1
0 1 5
2 0 3
0 3 5
3 4 5
10 4
2 0 0
0 0 2
0 1 3
2 0 2
0 2 2
1 1 0
1 0 0
2 3 2
2 1 2
1 2 3
10 9
2 2 1
1 2 0
2 2 2
0 0 2
2 0 1
1 2 1
0 0 1
1 1 2
2 0 0
2 1 0
10 3
0 1 3
2 0 4
2 4 4
4 3 2
3 3 3
1 2 4
0 1 2
3 3 0
4 3 0
0 4 2
10 5
5 4 1
5 4 4
3 4 2
4 4 5
0 0 1
3 2 5
3 5 2
2 5 3
3 3 4
4 1 4
10 6
1 2 2
1 2 0
4 0 2
1 1 2
3 3 2
4 2 4
0 3 4
0 4 0
1 4 0
1 1 1
10 6
1 4 1
3 5 5
3 2 0
1 0 3
3 1 3
1 0 2
4 2 3
2 1 4
5 0 2
5 5 3
10 2
2 0 2
0 1 2
2 2 2
1 2 1
2 2 1
0 3 3
0 1 1
0 0 2
2 2 3
3 0 3
10 7
0 2 2
2 0 0
2 2 2
0 0 1
0 1 0
0 2 0
0 0 0
2 1 1
1 1 2
2 2 1
10 4
2 2 1
1 3 1
2 0 3
3 3 0
0 1 2
0 0 3
0 1 0
0 3 2
2 1 0
3 0 2
10 7
1 3 0
4 4 2
4 3 5
1 0 4
2 4 3
2 3 4
0 0 0
1 0 2
2 3 2
1 4 2
10 3
2 2 4
1 0 0
2 4 3
4 4 3
4 3 1
2 0 3
3 4 4
3 5 3
4 1 4
3 4 0
10 3
3 2 1
1 3 1
2 1 2
1 0 2
0 3 0
2 1 0
1 0 1
2 0 2
0 3 2
0 0 2
10 2
1 2 4
0 0 1
4 0 1
1 4 3
0 1 0
1 2 3
2 1 5
4 1 4
5 4 3
1 1 4
10 6
2 2 0
1 2 2
0 1 1
2 2 1
1 1 2
0 1 0
2 1 2
2 1 0
0 2 1
2 2 2
10 3
4 5 1
2 3 1
3 1 0
5 5 4
3 0 3
2 3 0
5 4 3
2 5 3
2 1 3
1 5 5
10 4
2 2 2
0 1 1
0 0 2
1 2 2
0 1 2
2 0 1
0 0 1
2 1 0
1 2 0
1 0 1
10 8
1 2 1
0 2 0
1 3 3
0 1 0
3 0 1
1 3 2
1 0 3
0 2 2
2 3 1
0 2 3
10 7
2 1 3
3 2 1
2 2 2
3 0 3
3 1 2
1 2 2
3 3 2
0 1 0
1 2 1
2 3 2
10 5
4 4 1
2 0 4
1 3 3
0 4 3
2 3 3
1 1 2
3 2 1
0 0 4
0 2 3
2 3 1
10 7
3 0 2
3 5 5
3 3 1
2 3 2
2 3 3
5 4 2
0 2 3
4 5 1
0 0 4
3 2 5
10 8
0 0 1
0 0 2
2 0 1
0 1 2
1 2 1
1 1 0
2 1 2
0 2 2
0 0 0
2 0 2
10 3
2 1 1
0 1 2
1 1 2
0 1 0
2 0 1
0 2 2
2 0 2
1 1 1
2 1 2
2 2 0
10 6
2 0 3
4 1 4
3 3 5
1 5 1
4 1 5
1 4 0
3 0 5
4 1 0
0 0 3
1 1 5
10 8
2 0 0
2 0 2
2 2 1
0 2 2
1 0 1
1 1 0
0 1 0
0 1 1
0 2 0
1 0 2
10 2
2 0 0
1 4 0
3 2 4
0 1 1
1 1 2
0 4 0
1 3 3
3 2 3
3 1 0
4 4 0
10 2
0 0 4
0 1 2
1 5 5
1 0 0
5 4 0
0 3 0
5 4 2
5 0 4
4 5 2
5 4 4
10 4
4 2 3
5 0 3
5 5 2
2 1 1
5 1 2
5 0 5
0 1 2
3 5 5
0 2 5
5 5 3
10 9
0 0 3
1 1 2
1 1 3
2 0 2
2 3 3
2 2 2
1 0 2
2 1 1
2 2 3
3 0 1
10 8
0 3 3
1 4 4
2 3 0
1 3 2
3 0 4
2 1 4
1 0 3
1 4 0
3 1 2
0 0 0
10 3
0 3 1
4 4 3
5 4 5
3 2 0
5 0 2
3 5 4
5 2 5
1 4 1
1 5 1
5 4 1
10 2
0 0 1
1 1 2
0 1 2
1 2 2
2 2 0
0 2 0
2 2 2
0 2 2
1 2 0
1 2 1
10 8
1 1 1
2 2 0
2 2 2
0 2 1
0 2 0
1 2 0
0 0 1
1 0 1
1 2 2
2 1 0
10 4
2 2 1
2 0 2
3 0 3
2 0 0
3 1 1
2 1 0
1 0 0
0 1 1
1 1 2
2 3 2
10 5
0 1 0
0 0 1
0 2 2
2 0 0
2 0 2
1 1 2
2 2 1
0 1 2
1 0 2
2 2 0
10 7
0 3 0
0 2 3
0 4 3
3 3 1
2 4 4
1 3 2
1 0 2
4 1 0
3 2 1
1 0 0
10 3
2 0 2
2 1 1
1 2 2
2 0 1
2 2 0
2 1 0
0 0 1
1 2 1
0 2 1
0 1 0
10 7
0 1 2
0 2 3
0 3 1
0 2 0
2 2 2
2 1 0
1 0 1
3 2 2
2 1 1
3 2 0
10 5
0 0 2
1 1 2
2 0 1
1 1 1
2 1 0
1 0 2
2 0 2
0 2 0
2 2 0
1 2 0
10 8
4 5 0
0 4 1
1 2 3
5 3 3
1 2 5
3 3 0
0 1 4
2 2 5
2 5 1
5 1 3
10 2
1 3 1
1 2 2
2 2 2
2 1 3
1 3 0
0 2 3
2 0 3
2 3 1
3 2 1
0 2 2
10 2
0 1 0
1 2 1
3 0 0
4 1 1
1 4 0
1 1 2
2 0 1
0 4 1
2 4 2
3 1 3
10 6
1 1 0
1 0 2
0 1 0
2 0 1
2 1 0
1 0 1
2 2 2
1 2 2
1 2 1
0 1 1
10 4
0 0 1
3 1 0
1 2 2
2 2 2
0 0 3
3 0 0
0 2 2
3 2 1
3 2 3
2 1 2
10 4
3 2 3
0 2 2
0 2 1
3 2 4
0 2 3
0 3 1
0 4 0
3 2 1
0 3 4
1 0 1
10 6
1 3 1
0 3 2
0 3 0
0 0 0
2 1 0
2 3 0
1 2 3
1 0 1
2 2 1
3 3 0
10 8
2 0 1
2 2 2
4 4 1
1 4 2
1 2 2
4 0 4
0 0 0
1 3 0
4 2 2
4 2 4
10 3
2 0 2
0 0 0
2 2 0
2 2 2
0 1 0
1 1 0
1 1 2
1 0 2
1 2 1
0 1 1
10 9
1 4 0
4 1 0
3 4 1
2 1 1
4 2 4
3 4 4
4 1 3
0 1 4
2 2 0
1 4 2
10 8
3 1 2
1 3 5
0 5 2
2 0 0
4 3 4
3 4 2
0 3 1
4 2 4
1 4 0
4 3 5
10 5
3 0 3
0 1 0
1 3 2
1 0 3
3 2 0
0 3 2
4 2 3
0 1 3
1 2 1
3 0 1
10 2
1 0 0
1 1 0
3 0 3
0 3 1
2 3 2
3 3 1
2 2 3
1 1 3
3 3 2
0 1 1
10 8
0 1 2
1 1 3
3 3 0
0 1 3
2 2 0
2 3 3
1 1 2
3 3 2
1 3 0
0 0 0
10 8
3 1 3
3 1 4
3 1 1
3 3 0
2 1 2
2 0 2
1 0 0
1 4 0
3 2 2
0 3 3
10 8
1 3 2
3 2 1
0 2 1
1 0 0
0 2 3
1 2 3
2 3 1
0 2 0
2 1 1
1 3 1
10 6
2 3 1
0 0 1
1 2 0
0 0 4
4 2 3
1 4 1
0 1 1
0 4 2
1 3 0
3 3 3
10 5
3 4 2
2 2 0
4 2 0
4 2 4
3 2 2
2 0 0
2 1 0
4 3 2
4 1 2
2 3 0
10 6
1 2 0
2 1 2
0 1 1
2 1 1
0 2 0
2 0 2
2 2 0
2 2 2
2 2 1
1 2 2
10 2
1 0 0
3 4 3
2 2 3
4 0 3
2 1 1
0 0 2
3 3 0
1 4 1
3 2 4
2 0 4
10 4
4 0 0
3 3 3
0 2 4
4 2 4
2 0 4
1 1 0
3 1 2
3 1 1
3 3 2
0 3 4
10 9
0 1 0
2 0 1
0 3 3
0 1 2
2 3 1
2 1 2
0 3 2
2 2 3
3 3 0
1 3 1
10 2
0 4 3
1 0 2
4 1 3
4 4 3
0 5 5
3 0 1
3 5 4
3 5 2
4 3 0
5 1 5
10 9
0 2 0
2 2 1
2 1 2
0 0 2
1 2 0
2 0 2
2 0 1
2 2 0
0 0 0
0 0 1
10 2
5 4 0
2 4 5
3 1 3
4 0 2
1 4 3
1 5 0
2 3 3
1 4 1
0 1 3
0 1 1
10 4
5 0 4
1 2 4
4 1 0
5 0 1
4 2 1
5 3 5
0 4 3
2 2 5
2 5 1
3 2 3
10 3
1 0 3
3 4 2
4 4 4
1 2 1
3 1 2
1 1 2
0 3 4
4 0 1
4 4 1
2 0 1
10 2
0 0 3
0 2 2
2 3 1
2 2 1
3 0 2
3 3 2
3 3 1
0 0 0
3 2 2
1 3 1
10 6
4 3 4
2 1 5
4 4 0
2 1 0
5 5 4
1 2 1
4 3 2
2 1 1
1 4 0
4 0 5
10 9
1 1 0
0 2 1
0 2 2
1 2 1
2 0 2
2 1 1
1 0 0
1 2 2
1 1 1
0 0 1
10 7
1 1 0
2 0 1
0 1 1
2 0 0
1 1 1
0 0 0
1 2 1
0 0 1
2 2 1
2 2 2
10 7
0 2 0
0 1 2
1 0 0
0 0 2
2 0 2
1 1 0
1 2 0
0 2 1
2 1 2
0 0 0
10 6
2 0 1
3 2 1
1 2 2
3 2 2
0 3 0
1 2 1
0 3 2
1 1 1
3 0 2
0 3 3
10 5
2 5 2
2 5 4
3 1 5
4 4 3
3 4 5
3 4 0
3 0 1
0 4 1
0 4 0
1 4 5
10 8
3 5 4
3 2 2
3 1 0
3 5 0
3 4 5
0 0 4
2 0 5
1 2 4
4 0 5
1 5 2
10 8
1 2 0
0 0 5
4 2 3
2 2 2
2 1 3
4 5 3
4 5 2
1 3 1
3 0 2
2 4 2
10 7
1 0 2
4 5 0
2 0 1
0 5 2
1 2 5
4 1 5
1 2 0
0 2 3
4 2 3
5 4 1
10 5
2 0 2
2 2 2
0 0 2
2 2 1
2 0 1
0 1 0
0 0 1
1 0 2
2 2 0
1 2 2
10 8
3 2 0
3 0 2
3 2 3
0 3 2
2 3 1
1 1 2
4 3 3
1 1 3
4 1 1
4 4 0
10 2
2 2 0
3 2 2
3 2 3
0 0 0
0 3 1
0 1 2
2 0 3
3 1 2
3 2 0
3 0 2
10 5
3 1 3
4 2 4
0 1 2
4 2 3
4 4 4
2 2 0
1 4 1
0 4 1
2 2 2
0 1 4
10 3
3 2 1
3 1 1
2 3 2
1 1 0
2 3 0
3 1 2
3 1 0
0 2 2
1 2 3
2 3 1
10 9
1 2 0
1 0 1
1 2 2
0 1 1
2 2 1
0 1 0
0 0 1
2 2 2
0 0 0
2 1 1
10 9
2 2 1
0 2 1
2 0 2
1 0 0
2 1 0
1 0 1
0 0 2
1 1 1
1 2 0
0 2 0
10 8
0 1 1
1 0 2
1 3 1
3 3 2
3 0 0
2 0 2
0 3 0
2 1 0
3 3 0
2 1 3
10 2
4 2 1
0 2 2
0 2 3
3 0 1
2 0 2
2 1 1
1 0 3
2 1 2
2 2 2
1 2 2
10 6
0 2 2
3 3 0
3 2 0
2 3 0
3 2 1
1 0 2
1 0 1
1 3 2
0 0 1
0 3 3
10 3
2 1 0
2 0 3
5 4 5
0 3 1
0 4 3
0 1 5
0 1 1
2 3 5
5 4 3
0 5 3
10 6
0 0 2
2 1 0
0 1 1
0 2 0
2 1 1
0 1 2
1 2 0
1 1 1
1 0 0
0 0 1
10 2
1 3 3
4 2 1
4 2 0
0 4 1
3 0 2
0 4 2
2 1 1
3 3 2
4 0 0
3 4 3
10 8
5 3 5
0 1 2
5 4 4
1 3 1
2 5 1
0 2 1
3 5 3
0 3 4
0 3 5
5 1 4
10 9
2 1 0
3 3 1
0 3 2
3 4 3
2 4 2
1 1 4
3 2 2
2 0 3
1 2 3
3 2 0
10 7
0 1 3
3 4 3
4 3 0
0 2 3
0 1 0
0 3 4
1 4 2
2 1 0
4 1 0
2 3 4
10 9
5 4 1
5 5 5
1 1 1
1 5 3
5 2 2
3 1 3
4 0 4
2 0 3
5 4 0
2 5 0
10 3
3 2 1
2 1 3
0 1 3
0 1 0
1 2 3
0 2 3
1 1 2
2 0 3
3 1 2
3 2 3
10 8
1 0 1
0 2 2
0 0 2
0 0 0
0 1 1
2 0 1
1 2 2
2 2 2
0 2 0
1 1 2
10 8
2 3 2
2 1 2
0 3 0
0 0 2
2 1 1
1 1 3
0 3 3
3 1 1
2 1 0
3 2 3
10 5
2 1 0
0 0 0
0 1 1
1 0 0
0 2 0
1 1 2
1 2 0
2 1 1
2 0 0
0 0 2
10 7
0 1 1
2 2 2
0 2 2
1 2 2
2 1 0
0 0 1
0 2 1
2 0 0
0 1 0
0 1 2
10 2
2 1 2
1 1 1
2 2 1
0 1 2
2 2 0
2 0 0
0 1 1
0 0 1
1 1 0
0 2 1
10 3
2 1 4
2 5 1
5 3 2
2 1 1
2 2 5
3 3 1
5 4 4
4 2 4
4 1 3
5 2 4
10 9
1 2 2
0 2 1
1 0 0
2 2 1
2 2 2
2 1 2
2 0 1
1 1 2
0 1 0
0 1 1
10 2
2 1 2
0 2 0
2 2 2
2 1 0
0 0 1
0 2 1
0 1 1
2 0 0
1 2 2
2 0 1
10 4
5 5 1
4 3 2
3 2 0
3 4 0
3 4 4
4 2 2
4 0 3
0 2 4
2 3 3
1 5 2
10 6
4 3 5
3 0 3
5 2 2
4 3 2
2 1 3
3 0 2
0 0 1
3 4 1
3 5 1
5 3 2
10 4
5 1 4
4 2 5
0 4 4
5 0 2
0 5 4
0 2 4
5 0 0
5 4 2
4 5 3
4 3 5
10 3
0 3 2
0 5 3
1 5 4
2 0 5
4 2 2
1 4 5
3 5 0
1 3 3
1 2 5
2 4 0
10 2
0 1 1
0 1 2
2 2 0
1 0 2
1 0 1
0 0 1
1 1 1
1 2 0
1 0 0
2 0 0
10 3
2 0 2
0 2 1
0 0 2
2 1 1
2 1 2
1 2 1
2 2 0
1 1 1
1 0 2
1 1 0
10 7
2 0 2
0 1 1
1 2 1
0 0 0
0 3 2
1 3 1
0 0 3
1 2 2
2 1 1
3 2 2
10 6
3 2 1
2 2 2
4 1 3
1 1 3
0 0 2
1 4 0
1 1 1
4 1 4
1 2 2
0 4 1
10 2
3 4 0
0 0 4
1 0 4
4 4 3
0 1 4
1 0 2
4 4 2
2 0 4
4 1 3
2 0 2
10 8
4 3 3
3 5 3
2 3 5
5 4 5
5 0 2
1 4 3
3 0 3
4 0 2
3 2 2
4 1 5
10 7
3 4 4
1 4 4
0 1 0
3 3 3
4 1 3
0 0 0
3 0 2
3 0 3
4 2 1
1 1 0
10 7
1 2 2
0 0 2
3 3 3
1 2 1
1 0 3
2 3 2
0 2 1
0 3 0
1 3 3
0 0 0
10 5
1 1 1
0 1 0
2 2 1
2 2 2
0 2 0
1 2 2
2 0 2
1 2 0
2 0 1
2 1 2
10 8
0 2 1
1 3 3
0 2 2
3 2 1
1 2 0
1 1 2
0 3 3
0 0 3
0 0 0
0 0 2
10 8
0 1 3
1 3 1
3 2 1
2 2 0
3 3 0
0 1 2
0 2 2
1 3 0
3 0 2
3 3 1
10 2
1 5 2
1 4 1
1 0 5
3 2 4
0 0 0
3 5 5
5 2 5
1 4 4
5 3 4
0 4 1
10 7
0 0 3
3 4 1
2 3 0
1 2 1
4 4 4
0 1 2
2 3 4
4 0 2
0 2 4
4 1 0
10 5
1 1 0
3 2 0
4 5 3
4 5 2
2 4 4
1 1 4
0 3 3
1 2 0
4 0 4
3 4 0
10 4
0 2 1
1 2 0
2 1 2
0 2 3
2 1 1
2 2 3
0 3 1
1 0 3
3 1 3
3 1 2
10 7
5 4 0
2 3 0
4 3 0
4 1 0
2 3 2
0 1 5
0 0 0
1 4 4
4 3 5
0 2 0
10 2
1 1 4
2 1 1
5 3 0
0 3 1
0 0 2
3 5 5
5 5 0
5 4 4
5 0 1
4 3 0
10 6
0 2 0
2 2 1
1 0 2
1 1 1
2 2 0
0 1 2
0 2 1
1 1 0
2 1 1
2 1 2
10 2
2 2 4
4 4 1
0 3 4
4 2 1
0 4 1
4 0 3
1 3 1
2 0 1
2 1 3
2 3 2
10 8
4 0 2
1 1 2
4 4 1
1 0 3
1 3 2
2 2 1
4 2 2
1 3 1
3 4 3
0 0 3
10 3
2 0 1
0 0 0
0 1 1
0 1 0
3 1 0
0 3 4
1 0 4
3 3 0
4 2 3
3 0 2
10 6
4 4 2
2 0 2
5 0 3
5 1 2
4 5 3
2 2 3
3 3 4
2 0 3
5 0 4
4 5 0
10 3
4 0 4
5 2 1
4 3 4
0 3 5
1 4 4
4 5 3
2 4 5
2 4 1
4 1 2
1 2 0
10 4
1 2 0
2 3 0
3 1 3
1 0 0
2 2 0
0 3 0
2 2 2
1 0 1
2 2 3
0 3 2
10 4
2 2 1
0 1 1
2 2 0
0 2 2
1 0 2
1 1 0
2 1 0
0 1 2
0 0 2
1 2 2
10 3
1 1 1
3 2 2
2 3 2
4 1 0
0 2 4
1 2 0
0 1 3
3 0 2
1 2 3
1 3 1
10 5
0 0 1
0 0 3
3 3 4
4 4 4
2 5 1
4 5 1
0 2 3
2 4 1
5 1 0
2 3 1
10 8
1 4 3
4 1 0
5 1 0
0 0 3
5 4 1
4 2 0
3 0 4
1 0 0
5 5 3
5 0 4
10 4
2 0 5
1 4 1
4 2 5
4 3 1
1 3 2
3 1 2
5 5 0
1 4 2
1 4 3
2 1 2
10 9
1 2 0
1 0 1
0 0 2
2 0 1
0 0 0
2 1 1
2 2 2
1 1 2
1 1 0
0 1 2
10 6
4 1 3
2 1 2
3 3 1
4 1 1
3 2 3
0 1 3
3 1 4
2 0 0
2 2 1
4 3 2
10 2
0 2 2
0 2 1
0 1 2
0 2 0
1 0 0
2 0 0
1 1 2
2 1 1
1 0 2
2 2 0
10 8
3 2 2
1 3 1
4 2 2
2 0 0
1 1 0
3 2 3
3 1 0
3 3 2
0 0 4
4 3 0
10 9
0 5 4
4 1 1
2 5 0
5 5 4
0 5 0
5 1 2
3 0 0
2 2 5
2 4 0
2 4 3
10 4
3 0 2
4 0 0
3 0 3
1 1 1
2 1 2
1 3 4
0 3 3
2 2 1
3 1 3
2 1 3
10 3
4 1 4
0 1 4
3 2 0
1 3 2
3 4 3
4 4 2
1 0 1
3 0 3
1 4 3
2 0 2
10 3
1 0 2
1 1 3
2 0 1
0 0 1
2 3 1
0 1 2
3 1 3
2 3 3
2 3 0
2 2 3
10 8
0 1 2
0 0 0
2 1 2
2 0 2
0 1 0
1 2 1
0 2 0
2 0 1
2 0 0
1 0 0
10 4
1 2 1
4 2 2
4 5 2
3 5 0
0 2 4
0 3 4
2 0 1
1 4 1
4 2 1
2 3 5
10 3
2 1 3
2 0 2
3 1 2
0 1 1
3 3 0
0 3 0
2 2 3
3 0 3
1 0 3
3 2 2
10 7
2 2 1
0 0 0
2 0 2
0 0 2
0 1 2
1 0 2
1 2 2
1 1 1
0 0 1
1 2 0
10 8
0 2 2
0 1 2
4 3 2
1 3 1
4 1 3
4 2 4
0 3 1
4 2 2
2 1 0
3 4 1
10 9
3 1 2
0 2 2
2 1 1
1 1 0
0 3 1
2 0 1
0 3 3
1 2 1
1 3 1
1 3 3
10 5
2 0 1
2 2 0
1 1 2
2 1 2
2 0 0
0 0 2
1 1 0
0 0 1
1 1 1
1 0 2
10 2
1 3 3
0 4 0
0 1 1
3 2 2
2 3 1
3 4 4
0 3 4
4 1 2
0 4 4
4 4 4
10 9
3 2 1
4 0 1
0 1 1
2 0 4
3 1 2
2 2 3
1 1 3
1 3 2
1 4 1
2 4 3
10 8
1 1 1
0 1 0
1 2 2
1 2 0
2 1 2
1 0 1
2 0 0
2 2 2
0 1 1
2 2 1
10 8
0 2 2
2 0 0
1 1 2
2 0 2
0 1 1
0 1 0
2 1 0
0 0 2
0 0 1
2 2 0
10 9
2 2 1
0 1 2
0 3 1
0 2 1
2 1 3
0 0 2
2 2 3
3 1 0
1 0 2
3 1 2
10 4
1 1 3
3 0 2
1 1 4
4 4 3
2 0 2
3 4 1
2 1 1
0 0 3
2 2 0
1 0 2
10 5
2 1 2
0 1 1
1 2 1
1 1 0
2 0 1
1 2 2
0 2 1
0 1 2
0 0 2
0 0 1
10 4
0 2 0
1 0 3
3 1 1
1 3 0
1 2 0
1 0 0
0 3 1
2 0 2
2 0 1
2 0 3
10 9
2 0 2
0 0 2
2 2 1
0 2 1
1 0 2
2 2 2
2 0 0
1 0 0
1 1 2
0 1 0
10 2
0 2 1
0 0 1
1 1 0
1 1 1
1 2 0
1 2 2
1 0 1
0 0 2
2 2 0
0 1 0
10 8
0 4 4
5 0 3
0 4 1
1 3 4
4 5 3
2 0 1
0 2 4
3 1 0
0 3 0
4 4 1
10 4
4 2 0
3 1 1
4 1 4
5 3 0
5 5 5
0 2 0
4 5 0
0 1 2
4 5 2
1 3 0
10 3
4 3 1
1 0 1
2 0 0
1 3 0
1 4 2
3 4 0
1 3 2
4 1 1
1 3 1
0 2 2
10 7
2 0 0
2 3 2
0 3 1
1 2 2
0 3 0
3 1 0
2 1 1
1 2 0
0 0 3
3 1 1
10 9
1 1 2
4 0 3
3 0 1
4 2 2
2 5 1
4 5 5
5 3 4
0 1 1
3 3 4
5 4 2
10 7
4 5 1
3 2 2
0 5 1
1 3 3
0 4 3
3 0 3
2 0 4
5 5 4
5 2 1
1 3 2
10 9
2 2 1
2 0 2
0 2 2
2 0 1
0 2 1
1 2 2
2 2 2
2 1 0
0 0 0
0 2 0
10 6
3 4 1
3 3 2
3 1 1
2 2 0
2 0 2
4 2 3
3 2 4
1 3 1
1 4 1
2 3 3
10 8
3 0 0
2 1 3
0 2 1
0 3 0
1 1 1
1 1 0
2 2 3
1 2 0
1 3 0
1 1 2
10 4
0 4 0
2 3 1
3 5 4
2 4 0
5 1 0
0 0 2
2 5 4
3 5 5
0 3 2
3 5 2
10 4
0 2 2
3 0 0
3 1 2
3 3 3
0 1 3
3 1 0
1 1 1
3 1 1
2 3 3
3 0 3
10 4
0 1 2
0 1 0
0 2 2
2 2 0
0 2 0
0 0 2
2 2 2
0 0 1
1 1 1
1 2 2
10 3
1 0 2
2 1 1
0 0 0
2 0 2
2 2 2
1 2 0
0 2 1
2 1 0
2 0 1
2 1 2
10 5
4 1 1
5 5 0
0 2 5
3 5 0
2 1 4
5 4 3
2 5 0
0 5 2
0 2 0
1 5 0
10 3
4 1 0
3 0 1
0 3 2
3 1 2
4 3 2
1 4 5
2 2 3
0 4 1
2 1 2
0 1 0
10 2
2 0 2
1 2 2
3 3 3
0 4 2
5 5 3
5 5 5
4 5 0
3 0 0
4 0 5
1 2 4
10 4
2 0 2
1 1 2
2 2 1
2 2 2
1 2 0
1 1 0
1 0 0
2 0 0
0 2 1
2 1 0
10 8
2 3 3
1 0 2
3 0 3
3 4 4
0 1 2
0 3 2
3 3 4
4 1 3
0 3 4
3 4 1
10 7
4 3 4
2 0 4
2 5 5
1 5 1
5 1 0
5 3 5
0 3 3
4 4 0
0 0 1
5 5 0
10 3
3 1 3
0 0 1
2 0 0
1 4 0
3 4 1
0 2 0
1 1 1
3 2 0
0 2 3
3 4 2
10 6
0 1 1
1 1 1
1 2 0
2 2 1
1 0 1
0 0 2
2 2 2
0 1 2
2 0 1
0 0 1
10 6
1 1 3
5 2 0
4 5 4
5 1 5
4 3 3
0 4 0
0 1 3
2 0 2
5 5 4
4 3 5
10 3
3 1 3
3 2 0
3 0 2
1 3 3
0 0 3
2 1 2
0 3 2
2 2 1
2 0 2
0 2 3
10 9
1 1 1
0 0 0
1 2 2
2 1 0
1 1 0
0 1 1
1 2 0
0 1 0
0 1 2
0 0 2
10 2
2 0 1
1 5 2
2 3 3
3 0 3
4 2 2
1 2 3
0 1 1
0 2 0
4 3 5
1 5 4
10 4
0 2 3
3 3 3
1 1 4
4 4 1
2 4 4
1 3 3
0 2 4
2 1 2
3 0 0
1 3 2
10 9
1 3 1
3 2 4
2 0 4
3 3 1
4 4 3
2 4 2
1 0 0
0 2 1
0 3 2
3 1 0
10 9
1 0 2
0 2 2
1 2 2
0 0 0
0 1 1
2 0 1
1 0 0
2 1 2
2 0 0
0 1 2
10 7
0 4 3
3 1 3
4 2 2
3 3 3
0 1 4
4 0 4
0 4 1
0 0 3
0 2 4
0 2 2
10 8
1 0 1
1 0 0
2 0 1
2 0 2
0 1 1
2 0 0
1 1 1
0 0 2
2 1 2
2 1 1
10 6
4 4 2
1 3 0
4 4 1
1 0 2
0 3 5
4 5 1
5 5 0
5 0 1
4 1 5
5 4 2
10 3
1 4 3
5 1 1
0 4 3
4 4 4
0 0 1
5 5 1
2 4 3
4 0 0
3 3 2
2 2 5
10 3
3 1 3
5 1 5
5 4 3
5 3 1
4 5 4
1 3 4
2 5 4
4 5 1
4 1 3
1 4 3
10 7
1 3 1
1 3 0
3 2 0
0 1 3
3 3 0
1 0 0
3 1 0
1 2 3
2 1 0
2 1 1
10 7
0 1 2
0 2 1
1 2 2
2 0 0
2 1 0
1 1 1
2 1 2
0 2 0
0 2 2
0 1 0
10 3
4 4 4
3 2 0
4 3 0
2 0 3
1 0 1
0 0 2
2 3 1
3 3 0
3 4 2
4 2 2
10 2
1 1 1
1 2 1
2 2 2
0 0 0
1 0 0
2 0 0
2 2 0
0 0 1
0 2 1
2 1 2
10 7
2 2 1
2 1 2
0 0 1
0 2 2
0 2 1
1 2 1
0 0 0
0 0 2
2 0 2
1 1 2
10 4
2 1 0
2 2 1
1 0 2
2 2 2
1 1 1
1 0 0
0 1 0
1 2 2
2 0 0
1 1 2
10 7
2 0 1
0 3 4
0 3 0
3 4 4
1 4 4
3 3 1
1 1 4
1 0 4
2 3 0
2 0 2
10 4
2 1 2
0 3 3
3 1 1
1 3 0
1 4 1
0 2 1
3 1 2
3 4 1
4 2 4
1 1 4
10 8
1 3 0
3 0 3
1 3 1
0 2 0
1 1 2
3 2 0
3 1 0
3 3 3
1 3 2
3 1 1
10 2
1 1 2
2 2 1
0 1 0
0 2 0
1 2 2
2 1 2
2 0 2
2 2 0
1 1 0
2 0 1
10 9
1 0 3
2 0 4
4 4 1
0 4 4
4 1 0
1 0 1
3 1 2
2 1 4
3 4 0
0 2 4
10 8
2 2 1
0 0 1
1 1 0
1 0 0
1 2 2
2 0 1
1 1 2
0 2 1
0 1 2
2 0 2
10 2
4 1 4
1 1 0
1 0 3
0 4 3
4 2 0
2 2 4
2 4 0
2 1 1
2 2 0
0 0 0
10 7
4 2 2
0 0 1
1 1 4
2 4 4
0 3 2
2 2 4
2 1 1
1 2 4
2 3 3
3 2 4
10 9
2 3 2
1 2 0
0 0 1
0 0 3
3 2 0
0 2 2
3 1 3
1 1 2
2 1 3
3 0 2
10 6
0 2 1
1 1 2
2 2 2
2 1 1
1 1 1
0 0 2
2 0 0
2 0 1
0 0 1
1 1 0
10 2
0 1 1
2 0 1
2 1 2
2 1 1
2 0 2
2 0 0
2 2 1
0 2 0
2 2 0
0 1 0
10 8
4 2 3
3 1 0
0 1 1
2 3 0
4 0 0
0 2 4
0 1 0
2 1 0
2 0 1
3 0 2
10 5
1 1 0
1 3 1
3 0 2
4 2 3
3 1 1
2 0 0
4 4 3
5 5 0
4 5 2
0 2 5
10 7
4 1 3
0 2 1
2 5 1
1 5 0
0 1 2
2 0 3
0 2 5
5 3 1
1 1 4
1 2 5
10 3
2 2 0
0 1 0
0 0 0
2 1 2
1 2 1
2 2 2
1 0 0
0 0 1
0 1 2
2 0 2
10 8
1 2 1
3 0 1
3 1 1
0 1 1
3 1 2
0 2 0
2 1 3
1 2 3
2 1 0
1 0 2
10 4
0 0 4
2 0 1
1 3 3
3 5 2
5 0 0
3 4 0
2 5 5
5 5 2
3 5 3
4 4 1
10 2
1 1 0
1 3 3
3 0 3
3 3 4
0 2 2
2 4 4
0 1 3
3 0 1
1 1 3
4 1 3
10 6
3 3 1
1 0 4
2 0 1
3 2 3
1 2 4
2 0 2
1 1 2
0 1 2
2 4 0
1 4 2
10 4
1 0 2
0 2 2
1 0 0
0 0 0
0 0 2
1 2 1
1 1 2
2 0 2
0 2 1
0 2 0
10 6
0 0 1
2 2 1
3 2 0
0 2 2
3 3 1
1 1 3
1 2 2
3 1 3
2 2 3
3 3 3
10 4
0 3 2
2 0 2
3 1 0
1 3 0
0 3 0
1 3 2
3 3 3
2 2 2
0 1 0
3 1 1
10 2
2 2 0
0 1 0
0 1 1
1 1 0
0 2 2
1 0 0
1 2 2
2 0 1
1 2 1
1 1 2
10 5
3 2 0
1 0 2
3 0 1
1 1 0
3 3 3
0 2 0
3 2 2
3 1 2
3 3 0
0 1 2
10 5
1 3 1
2 3 3
0 3 3
0 1 0
1 2 3
1 1 2
2 2 0
2 3 0
3 3 0
0 1 2
10 6
1 1 1
2 0 1
1 2 1
0 2 0
0 1 1
2 1 2
1 1 0
1 2 0
2 1 0
2 1 1
10 3
1 1 0
0 3 3
2 2 0
3 3 2
1 0 1
0 0 3
0 0 0
2 3 1
1 3 2
1 1 1
10 7
2 0 4
0 2 3
3 2 3
0 3 2
4 0 4
3 4 0
4 2 3
0 1 2
4 2 2
2 4 3
10 8
0 0 2
1 2 0
2 1 1
2 2 2
2 0 2
0 1 0
1 0 1
1 2 2
2 1 0
0 1 2
10 2
2 2 0
1 0 4
4 4 4
1 5 0
3 2 0
1 5 3
1 0 1
5 5 0
1 2 1
1 3 5
10 5
2 1 1
0 2 1
1 1 1
2 0 1
2 2 0
0 2 2
0 2 0
0 1 2
0 1 0
1 2 0
10 6
4 2 4
0 0 0
1 3 1
1 3 4
2 0 3
4 1 3
3 4 4
4 2 3
0 2 2
1 3 2
10 5
0 2 1
0 0 2
1 2 2
0 1 0
2 1 2
2 0 0
0 0 1
2 2 0
2 0 1
1 2 0
10 6
2 0 0
3 1 1
0 3 0
3 0 3
1 3 0
1 1 2
3 1 2
2 1 2
2 1 3
2 1 0
10 2
1 1 2
2 3 2
0 2 3
3 3 0
0 0 1
0 2 1
3 2 0
3 2 3
0 0 3
1 0 0
10 7
1 4 3
2 3 2
1 1 3
2 1 4
4 0 3
3 3 1
0 0 4
2 0 4
3 4 3
2 1 2
10 3
3 3 0
0 3 1
3 3 2
0 1 3
0 1 2
1 2 3
3 0 0
2 2 0
2 3 3
0 0 3
10 7
1 0 1
0 1 2
0 2 0
1 1 2
2 0 2
1 0 0
2 1 0
1 2 0
1 1 0
0 0 2
10 4
2 0 2
1 2 3
1 3 0
0 1 1
2 2 3
1 2 0
0 2 3
1 1 3
3 0 3
1 3 3
10 3
2 1 0
1 0 0
2 2 2
0 2 2
1 0 2
0 1 0
1 2 2
0 0 1
1 2 1
2 1 2
10 3
3 0 1
2 2 0
0 1 1
3 4 3
1 3 4
2 0 4
2 2 4
1 2 4
3 2 4
0 3 2
10 4
2 2 0
2 0 2
2 2 1
1 1 3
1 0 2
1 3 2
0 2 3
2 0 0
3 2 2
1 2 2
10 2
0 1 3
2 3 1
0 2 3
3 0 2
3 2 2
1 2 2
2 1 3
0 3 3
3 1 0
0 0 0
10 7
5 3 3
3 3 3
2 2 3
3 0 2
5 2 1
4 2 4
4 5 5
2 4 2
5 5 0
1 5 1
10 9
1 3 1
2 2 2
1 3 0
1 0 0
2 0 2
2 2 1
0 2 2
3 3 1
2 3 0
1 0 2
10 4
1 3 4
4 0 4
3 4 0
0 1 2
0 0 1
4 3 4
3 2 1
1 2 4
0 3 2
0 3 1
10 2
0 0 0
2 2 1
1 2 2
2 1 2
2 0 1
1 2 0
2 0 0
2 1 0
2 1 1
2 2 0
10 5
3 3 0
0 3 3
1 0 0
3 3 2
0 2 1
2 3 1
1 1 1
3 1 3
3 1 2
3 0 0
10 5
1 2 0
0 0 0
2 1 1
0 0 2
0 1 1
2 0 0
2 2 1
2 1 0
0 1 0
1 1 0
10 9
2 1 2
4 1 1
2 4 4
5 1 5
4 1 4
4 1 0
0 5 5
5 1 0
5 5 2
4 5 2
10 4
2 3 3
2 1 0
3 1 2
2 3 0
3 2 3
1 1 2
2 1 1
2 2 1
3 3 0
3 2 1
10 2
4 4 4
1 3 0
0 2 1
2 2 0
1 2 2
3 0 1
5 5 2
2 2 3
4 4 3
0 1 3
10 8
4 3 0
2 1 3
0 1 1
1 0 0
2 3 4
2 4 3
0 3 3
3 2 0
2 1 0
1 1 3
10 8
0 0 1
3 2 3
3 0 0
2 1 1
2 2 2
1 3 3
3 3 0
3 3 2
1 1 2
0 0 0
10 8
0 3 0
2 1 3
3 1 2
0 0 3
0 2 1
2 1 0
2 1 2
2 0 1
3 2 2
1 2 1
10 9
1 1 2
3 3 0
1 2 2
2 2 0
1 3 2
1 2 1
0 1 2
2 3 2
1 0 3
0 3 2
10 9
1 2 2
0 2 1
2 0 1
0 0 2
0 2 0
2 2 0
1 1 0
1 1 2
0 1 1
0 0 0
10 2
4 4 1
0 3 4
4 1 3
1 1 0
3 4 2
0 0 2
4 2 2
0 1 2
4 0 2
2 4 2
10 5
2 4 0
4 2 5
3 4 1
0 4 3
3 5 4
0 1 2
2 1 3
5 0 5
2 2 2
5 0 0
10 5
5 5 2
1 1 0
0 3 4
3 5 0
2 4 4
0 0 3
3 4 0
5 4 4
1 4 0
1 3 2
10 9
1 2 2
0 2 3
4 2 3
2 1 2
3 0 1
1 4 1
4 3 0
2 2 2
4 0 1
3 2 4
10 5
5 5 0
4 3 1
0 5 2
1 5 0
2 0 5
1 4 1
0 1 1
5 0 5
1 3 4
1 0 1
10 8
2 3 2
1 1 3
1 0 1
3 3 2
2 1 0
0 2 0
0 1 0
0 0 3
2 0 3
2 2 0
10 6
1 3 0
3 1 2
2 0 0
2 2 3
0 0 1
3 1 1
3 0 1
2 1 0
0 2 3
3 2 3
10 8
2 3 1
0 4 0
0 5 2
3 4 0
2 5 0
3 1 3
3 0 2
0 0 3
0 5 3
1 0 5
10 7
0 2 4
1 4 3
3 3 1
3 2 3
3 1 1
2 3 1
5 4 5
1 0 2
1 3 0
4 3 4
10 7
1 2 1
3 1 1
2 1 2
0 4 1
3 4 4
2 4 4
1 2 0
0 4 3
2 1 1
0 3 0
10 9
1 0 4
0 3 4
0 4 2
4 1 1
4 4 3
3 1 3
3 1 1
3 4 0
4 0 3
0 2 4
10 9
0 0 0
1 2 1
2 2 0
1 0 1
1 2 2
0 1 2
1 0 0
0 2 1
2 2 2
1 1 0
10 8
2 2 1
0 0 1
1 0 2
2 0 2
1 2 0
2 2 0
2 0 1
0 1 2
0 1 0
2 0 0
10 2
2 0 0
1 1 1
0 1 2
1 0 0
2 2 0
1 2 2
1 0 1
1 2 0
0 0 0
1 1 2
10 8
0 0 0
2 3 2
1 3 2
2 3 1
3 1 0
0 1 2
0 1 0
0 2 3
3 0 0
0 3 3
10 4
0 1 1
1 0 2
2 1 2
1 2 0
1 1 2
1 0 1
0 2 0
2 0 0
1 1 1
1 2 2
10 6
1 2 1
2 2 2
1 0 0
0 2 1
0 2 0
1 0 2
0 0 2
0 2 2
2 2 1
0 1 2
10 9
0 0 1
4 1 0
4 0 4
5 2 2
3 4 2
0 4 5
0 3 2
0 0 4
0 5 4
1 4 0
10 3
2 4 4
2 0 3
0 0 4
4 1 2
3 2 0
2 2 3
1 4 3
0 3 3
4 0 1
4 3 4
10 9
3 2 5
5 1 4
4 4 4
0 0 3
4 3 3
5 5 3
0 4 1
0 1 5
1 5 0
5 1 2
10 2
3 5 2
5 1 1
4 0 0
3 2 3
2 4 4
1 1 2
3 2 1
4 3 3
5 4 4
1 0 5
10 6
3 2 2
3 4 3
0 1 0
0 3 3
1 3 3
2 0 4
0 3 2
0 3 1
4 3 3
0 0 4
10 2
0 2 2
0 1 1
2 1 2
2 2 0
1 2 0
0 0 0
0 0 1
1 0 2
1 2 2
1 0 1
10 4
5 2 3
5 0 3
2 1 0
1 3 1
4 0 2
2 4 5
1 3 5
1 0 4
0 4 2
0 3 4
10 5
2 2 2
2 1 2
0 2 2
0 2 1
1 2 1
1 1 0
0 1 1
1 2 2
2 0 0
0 2 0
10 2
2 2 4
4 2 1
3 0 3
4 0 0
1 2 0
3 1 0
3 4 0
2 1 2
0 1 0
2 0 3
10 5
0 3 4
0 0 2
4 1 4
3 2 2
1 0 0
4 3 4
1 1 1
4 1 1
2 4 0
2 2 0
10 5
4 2 1
3 2 1
4 1 1
3 0 1
4 1 2
2 0 3
1 2 0
4 4 2
4 0 3
1 3 3
10 9
1 0 1
1 1 1
0 1 1
1 2 2
2 2 0
1 1 2
0 2 2
2 1 0
1 1 0
0 1 2
10 9
2 2 2
0 2 2
3 0 2
3 2 1
2 2 0
0 2 1
3 1 3
0 3 0
0 0 2
2 2 1
10 6
3 0 2
0 3 3
1 1 2
3 0 1
0 0 1
0 2 1
2 2 2
0 2 2
2 3 3
0 2 3
10 2
3 0 5
0 5 0
3 3 3
5 1 4
4 2 4
5 4 5
0 3 0
4 3 1
4 0 0
0 2 1
10 6
2 3 3
4 5 3
0 3 2
4 3 0
1 1 0
5 0 3
4 4 2
1 2 2
0 2 4
5 0 4
10 6
0 2 0
1 2 2
2 1 2
1 1 1
0 1 0
2 2 0
1 1 2
2 2 1
2 0 0
0 0 1
10 9
3 1 1
0 2 1
2 1 2
1 1 3
2 3 2
0 0 2
2 2 2
1 1 0
3 1 0
0 1 1
10 7
0 2 3
2 0 2
1 3 0
3 3 2
2 3 2
0 3 2
3 3 3
2 0 3
3 3 0
1 1 1
10 9
2 4 0
2 4 2
4 1 4
0 3 2
1 2 2
3 3 1
4 0 4
2 1 0
0 2 1
4 2 1
10 4
3 1 2
3 3 3
3 2 2
2 1 0
2 1 3
3 3 2
2 0 2
0 3 3
3 3 1
3 2 1
10 9
3 2 2
2 0 3
2 2 1
1 4 3
0 3 4
1 2 1
1 4 4
3 4 4
2 0 1
4 0 1
10 7
4 2 5
2 5 4
2 3 0
1 4 3
3 3 3
2 5 5
5 1 0
3 4 1
3 2 1
1 1 0
10 9
5 4 2
0 2 3
2 0 1
4 4 2
2 2 5
3 1 0
1 1 4
4 3 5
5 4 4
5 3 0
10 4
2 3 1
5 4 0
3 5 4
3 1 3
3 1 4
5 2 5
1 2 4
1 4 3
4 4 1
0 2 0
10 7
3 2 3
5 3 0
2 5 5
2 3 5
2 2 5
1 2 1
4 4 3
5 1 2
2 1 4
5 3 2
10 7
0 0 0
3 2 4
2 1 2
1 0 3
1 1 4
4 3 2
0 3 3
3 4 3
2 1 1
0 4 0
10 9
3 4 4
5 4 1
4 0 4
1 4 0
2 5 5
5 2 0
2 5 3
5 4 2
1 5 1
5 0 2
10 8
1 4 4
1 2 1
4 1 0
2 0 0
3 0 4
4 3 1
4 0 1
0 3 4
0 1 3
3 1 2
10 7
0 2 1
0 0 2
3 0 3
2 1 3
1 2 0
3 3 3
1 0 1
2 3 2
3 1 3
1 0 3
10 4
3 2 1
0 1 3
4 2 4
4 4 2
3 2 4
2 1 4
4 4 1
0 2 2
0 0 4
2 0 2
10 9
4 1 3
2 3 4
0 2 4
5 3 5
5 4 3
3 0 3
0 0 5
4 3 3
3 0 0
5 3 3
10 5
0 0 3
2 3 3
1 3 0
2 0 0
2 1 3
3 1 1
1 2 1
3 2 2
1 2 0
2 1 1
10 2
0 0 1
2 1 3
4 1 0
3 1 1
4 2 2
4 4 1
4 3 3
4 0 2
2 4 3
0 2 3
10 9
3 0 4
3 1 2
4 3 2
1 2 4
3 1 3
1 1 1
2 2 1
3 3 3
3 0 1
3 0 2
10 4
3 1 2
2 0 0
3 0 2
0 1 3
1 3 4
2 3 3
0 2 0
1 2 0
3 3 2
4 4 4
10 2
0 2 3
3 0 3
1 1 1
1 2 3
1 0 0
0 2 2
0 1 1
1 3 3
0 0 0
0 1 3
10 6
1 3 3
0 3 0
0 2 1
0 3 2
1 0 0
0 1 1
3 0 1
0 0 3
2 1 0
3 1 2
10 4
2 5 4
1 2 3
3 5 3
0 4 2
1 2 0
5 5 4
3 1 2
1 5 3
0 2 4
1 5 5
10 3
1 2 2
1 0 1
2 1 1
2 0 2
2 1 2
1 1 1
1 2 0
0 2 0
1 0 0
0 1 0
10 6
1 1 1
0 3 0
4 5 3
2 3 3
0 5 5
0 2 0
4 2 3
5 4 3
1 4 3
2 1 1
10 8
1 5 4
4 3 5
2 5 1
0 5 5
0 4 5
5 4 1
1 1 1
1 5 1
4 2 4
5 3 1
10 6
2 0 2
4 5 0
4 3 3
4 3 2
4 4 2
1 2 4
5 4 2
5 1 5
1 0 1
1 4 5
10 8
3 3 4
1 4 2
0 3 0
2 3 2
1 0 1
4 0 1
1 2 0
3 4 0
4 0 2
1 2 4
10 8
3 3 5
0 0 3
5 5 0
0 4 1
5 2 3
5 0 5
2 1 3
2 5 3
1 2 2
0 1 2
10 2
3 3 3
2 2 0
2 1 1
3 0 2
0 2 0
0 3 3
2 1 2
2 0 2
1 0 0
3 0 3
10 5
2 2 1
0 3 3
0 0 3
3 0 0
0 1 1
1 1 3
1 2 2
1 3 1
3 1 2
2 1 3
10 8
3 0 2
3 2 2
3 3 0
1 3 0
3 2 3
1 3 3
2 3 1
0 1 0
0 0 1
0 1 1
10 9
4 2 3
1 2 2
2 1 5
2 2 0
3 4 3
5 0 0
5 5 1
5 0 4
2 0 5
4 1 5
10 3
1 2 1
0 2 1
0 0 1
0 1 0
1 1 2
2 1 2
1 2 2
2 2 0
2 0 1
1 0 0
10 9
0 1 3
1 1 3
2 3 1
1 3 2
1 2 3
0 2 0
3 1 1
0 1 1
2 1 2
3 0 2
10 8
3 3 3
0 1 2
0 0 1
3 1 2
1 3 3
3 3 2
2 2 0
2 2 3
1 3 1
1 0 3
10 2
3 3 3
3 0 3
3 1 3
1 1 2
2 0 1
1 1 3
1 1 1
0 2 3
0 2 1
2 1 2
10 3
3 1 0
1 0 1
2 2 0
5 2 3
1 3 0
1 2 1
0 2 5
0 4 2
0 5 4
0 1 1
10 8
0 2 2
0 2 0
0 1 2
1 1 2
2 2 2
1 2 0
0 1 1
0 0 0
1 0 2
1 2 1
10 6
0 3 2
1 3 1
2 0 1
1 2 0
1 1 3
1 1 0
2 3 3
2 2 0
3 0 3
2 1 2
10 2
3 2 5
5 3 0
0 4 0
1 1 4
4 3 5
5 5 2
5 0 4
1 0 3
0 1 3
0 5 3
10 2
3 2 1
1 0 3
1 0 2
2 2 2
2 0 2
0 0 0
1 1 3
3 0 1
3 2 0
3 2 2
10 7
2 0 2
2 1 2
0 1 2
1 1 2
2 1 1
2 1 0
2 0 1
2 2 2
0 1 1
0 2 2
10 7
4 3 0
4 1 0
2 3 1
3 4 2
2 4 3
3 3 0
3 0 0
2 2 0
2 2 2
1 0 4
10 9
3 2 3
1 4 2
1 1 0
3 1 1
3 2 0
2 4 1
2 3 2
0 2 3
0 0 1
4 2 2
10 4
2 1 0
1 2 0
1 3 3
2 3 0
3 0 1
3 0 2
3 2 2
0 3 0
3 3 2
2 3 1
10 4
2 2 0
0 0 0
2 1 2
2 1 1
1 0 1
0 1 1
1 2 2
1 1 2
1 0 2
1 2 1
10 4
2 1 3
3 1 2
1 5 4
4 5 2
4 0 0
4 4 4
4 4 3
1 3 5
3 0 2
5 4 4
10 9
0 1 2
2 3 3
3 3 1
1 0 0
1 3 2
0 0 3
2 2 0
1 0 3
2 1 0
3 2 3
10 5
2 0 2
2 0 1
1 0 2
0 2 0
2 2 0
0 0 2
2 2 1
0 0 1
0 0 0
1 1 0
10 9
0 2 2
1 0 3
3 2 3
4 2 3
3 4 4
3 0 3
2 4 4
2 4 1
1 2 4
3 1 4
10 5
2 2 2
1 0 3
3 1 1
0 1 0
1 0 1
1 3 2
2 1 0
0 2 2
1 1 1
2 0 0
10 4
4 1 1
4 3 4
1 4 1
0 3 2
0 4 4
1 2 0
1 3 1
0 2 2
1 1 4
0 1 2
10 5
4 4 5
1 2 0
1 3 1
3 4 4
4 2 4
1 1 2
5 1 5
5 5 2
3 3 3
5 5 3
10 5
2 1 1
1 1 2
1 2 1
0 0 0
2 2 1
2 0 2
0 0 2
0 1 0
1 0 0
1 1 0
10 8
1 2 2
2 1 2
1 0 1
1 0 2
2 2 2
2 0 2
0 1 2
0 0 0
0 2 0
0 0 1
10 4
1 1 4
4 2 1
2 1 3
4 3 4
4 4 3
3 4 1
2 1 2
2 1 1
4 1 3
0 3 0
10 6
3 1 4
5 2 2
2 0 2
5 2 0
4 5 0
0 4 3
5 4 1
4 4 2
3 0 2
2 4 4
10 4
0 0 0
2 2 1
1 1 1
0 0 1
0 1 1
1 2 0
1 2 2
1 1 2
2 2 2
0 2 1
10 6
3 1 2
0 3 4
4 2 3
3 5 3
5 3 3
1 4 5
5 1 1
1 4 1
0 4 3
5 1 2
10 7
4 3 1
1 0 3
3 2 1
0 3 3
3 4 0
2 2 0
2 0 2
1 4 3
2 0 3
1 1 4
10 2
2 3 3
2 1 0
1 3 1
2 2 0
3 3 3
3 2 2
0 0 0
2 0 1
2 2 2
0 1 3
10 7
1 1 2
4 4 5
1 3 0
5 5 5
4 1 1
0 2 2
2 2 3
1 3 1
1 2 3
0 3 5
10 3
1 1 2
3 3 0
1 3 2
3 2 2
0 2 0
2 2 0
1 0 2
1 0 1
2 2 3
2 1 3
10 3
3 0 4
4 4 4
0 1 3
4 2 2
2 4 1
0 0 2
1 4 1
4 3 1
0 0 0
2 4 4
10 4
1 1 0
1 0 4
2 4 1
4 1 1
4 0 1
1 3 2
0 0 0
4 2 0
0 0 3
1 4 0
10 2
0 3 0
0 1 2
1 2 0
3 2 2
0 3 3
2 1 0
1 2 3
2 1 2
0 0 2
3 1 3
10 9
4 0 0
0 0 1
4 3 3
0 1 1
3 2 2
1 4 4
3 0 1
2 0 2
1 4 0
4 1 3
10 8
5 4 2
2 5 0
2 2 0
4 2 0
1 4 5
5 3 4
1 2 4
2 4 2
0 1 5
0 1 2
10 4
1 0 2
0 1 0
0 0 0
0 0 2
2 0 1
2 2 1
0 1 1
2 2 2
2 0 2
2 1 2
10 2
0 1 0
0 1 2
2 1 2
0 0 0
0 1 1
1 1 1
0 0 2
2 2 0
1 2 0
2 0 0
10 9
4 0 0
3 4 1
2 1 3
5 5 2
1 4 1
3 4 4
2 0 1
5 2 0
2 5 3
2 1 1
10 9
2 0 2
2 3 2
2 2 1
3 0 0
0 0 3
3 2 2
3 1 2
0 0 0
1 2 0
1 0 3
10 7
0 0 2
4 2 0
1 4 3
0 1 3
2 3 0
1 1 0
3 3 4
1 3 0
3 4 4
0 0 4
10 2
0 0 2
0 2 2
1 0 0
0 2 1
0 1 2
1 1 0
2 0 2
1 0 2
0 0 0
2 1 1
10 9
2 3 3
5 5 0
2 2 3
2 0 5
4 5 4
4 1 3
5 0 3
4 3 1
2 5 5
5 1 2
10 6
0 3 3
1 1 2
0 1 0
1 2 1
1 3 1
1 2 3
3 0 2
2 3 1
3 2 0
0 2 1
10 5
5 3 1
3 1 4
3 4 1
1 4 0
2 3 4
5 1 0
2 5 2
1 1 2
5 2 1
2 2 0
10 8
3 0 1
0 2 4
2 1 0
0 0 2
4 2 3
4 2 0
3 2 2
2 2 2
1 0 3
1 2 0
10 5
0 1 2
4 0 4
2 1 1
4 1 3
1 2 1
0 4 2
0 3 0
2 0 1
0 3 4
0 2 1
10 8
2 3 3
1 0 3
2 2 0
3 3 4
0 2 3
2 3 1
4 4 1
1 0 0
1 1 3
2 4 0
10 9
1 1 2
1 0 4
0 4 0
1 3 0
3 1 4
1 3 1
2 4 0
2 1 4
1 4 4
1 1 4
10 8
0 0 1
1 0 3
2 4 2
3 4 0
1 4 2
3 0 3
2 2 1
4 5 5
3 0 5
2 0 5
10 8
3 0 1
0 1 0
0 1 3
3 1 3
3 2 3
1 0 2
3 0 0
0 1 1
1 3 3
2 0 0
10 7
2 1 1
1 1 3
1 2 2
1 1 0
3 2 0
0 1 1
2 1 3
2 2 2
2 0 3
2 3 0
10 7
3 2 3
1 3 0
0 1 1
0 3 0
0 3 1
1 0 1
2 2 1
0 2 0
0 2 4
4 3 1
10 3
4 4 2
2 0 3
3 5 1
0 1 3
4 3 1
5 4 0
5 4 3
1 3 5
0 1 4
0 3 2
10 4
2 2 0
0 3 3
3 2 1
1 0 3
0 1 1
3 2 3
2 0 2
3 0 2
0 2 0
1 1 2
10 8
0 2 1
0 2 2
1 2 0
2 1 1
0 0 2
2 0 2
2 1 0
2 2 1
1 0 2
2 2 0
10 2
1 0 0
2 2 3
1 0 2
3 2 2
1 1 3
3 1 3
2 3 2
1 1 1
3 0 0
0 3 3
10 6
1 0 0
0 2 2
2 2 1
0 0 2
0 2 0
1 0 2
2 2 2
1 2 1
2 2 0
1 1 2
10 6
1 1 1
3 3 0
0 1 0
1 1 2
3 1 2
1 0 2
0 3 0
1 3 1
3 2 0
2 0 0
10 3
4 1 5
5 4 5
1 3 2
1 0 5
1 4 2
3 2 4
4 3 4
4 4 4
1 5 0
2 0 3
10 7
0 2 0
0 2 1
2 2 1
0 2 2
2 2 0
2 1 2
2 0 0
0 0 1
1 2 2
1 0 1
10 8
1 2 0
2 1 2
3 3 1
1 1 3
3 0 3
0 2 0
1 2 3
0 2 3
2 0 1
3 2 1
10 3
2 2 0
3 0 3
1 1 3
1 2 1
3 3 0
3 0 0
0 0 1
1 0 3
2 2 2
3 2 0
10 7
3 0 1
1 1 2
0 0 1
3 1 0
2 2 3
1 2 3
0 0 0
2 1 3
1 3 3
3 0 3
10 3
0 3 0
1 2 2
1 2 3
3 1 2
1 2 1
3 2 1
2 2 0
1 3 3
1 0 3
2 3 3
10 7
2 2 1
0 0 1
1 2 2
0 0 0
0 2 0
2 1 0
1 2 0
2 1 2
0 1 1
2 2 2
10 7
1 0 2
2 1 0
1 0 0
2 0 0
2 0 2
1 1 0
1 2 2
0 0 1
0 2 0
2 0 1
10 6
2 3 5
0 4 0
0 1 0
2 2 3
4 5 3
4 3 3
0 3 2
2 4 1
2 0 2
3 5 3
10 7
3 2 3
1 2 2
4 2 5
2 1 5
5 1 3
4 4 0
0 0 1
1 2 4
0 4 4
2 3 1
10 3
3 3 2
2 0 2
2 2 3
3 1 0
1 5 1
3 3 1
3 2 4
1 2 5
2 1 1
2 0 0
10 6
5 3 3
1 0 1
3 0 2
0 2 5
3 4 3
1 4 4
1 3 2
3 5 2
5 1 0
1 3 4
10 9
0 2 2
1 3 0
0 3 3
0 0 0
2 1 2
3 1 0
2 3 0
1 0 0
2 0 2
3 3 1
10 9
0 1 1
2 1 0
1 2 1
1 2 0
2 2 1
1 1 0
0 0 0
0 2 0
0 0 2
2 0 0
10 5
0 0 1
2 2 2
2 0 3
3 2 3
0 2 0
0 1 2
0 3 3
2 3 3
0 2 3
1 0 2
10 3
1 1 2
2 0 2
2 0 0
2 0 1
2 2 2
0 1 1
1 0 2
1 1 0
2 2 0
0 1 2
10 9
4 3 1
2 0 4
2 4 1
0 4 4
0 3 2
1 4 2
4 3 3
0 2 1
1 2 4
2 0 0
10 3
4 1 4
1 1 4
0 2 3
2 0 0
3 1 3
2 2 0
4 0 4
4 2 4
4 2 2
2 4 1
10 6
0 1 0
2 2 1
2 0 1
2 0 0
0 0 2
2 0 2
1 2 1
1 1 2
2 1 2
1 2 0
10 9
2 4 0
4 4 0
1 0 1
2 4 1
1 2 3
2 5 5
2 4 5
0 0 2
3 3 5
4 5 0
10 5
2 1 0
4 1 3
3 2 3
0 1 1
2 1 4
2 1 3
4 0 2
0 3 2
0 4 2
1 3 1
10 7
0 0 2
1 2 1
0 2 2
2 2 0
0 2 1
2 0 0
0 1 2
1 1 0
1 2 0
1 0 1
10 3
0 1 0
4 3 4
2 4 0
2 2 2
1 1 4
4 1 1
2 1 0
2 4 4
0 3 3
4 2 2
10 7
0 1 1
4 4 3
2 0 0
1 1 3
4 2 0
3 3 1
2 4 3
0 2 2
0 0 0
4 3 4
10 6
1 0 2
3 2 2
1 0 1
3 3 2
1 3 3
1 1 2
1 1 1
3 3 3
3 0 2
0 2 3
10 9
3 1 1
1 2 1
3 3 3
1 0 3
0 2 2
0 3 0
3 2 1
2 3 3
1 2 3
3 2 2
10 6
1 3 2
3 1 2
1 5 2
1 1 1
1 4 1
4 2 0
5 3 3
2 0 2
3 4 1
3 2 0
10 2
1 5 0
5 5 4
4 3 4
1 2 4
5 4 3
4 5 0
4 2 2
1 4 3
5 3 4
2 2 5
10 5
2 1 0
0 0 2
1 0 0
2 0 2
1 2 1
2 2 2
2 1 1
0 2 0
0 0 0
2 1 2
10 5
4 5 1
5 3 5
2 2 3
2 4 4
4 1 4
3 1 2
0 1 4
2 2 2
3 2 1
0 2 3
10 8
1 0 1
2 2 1
2 2 0
1 2 1
0 1 0
1 2 2
2 0 1
0 2 2
0 0 2
1 1 1
10 4
2 1 2
2 0 2
0 2 2
1 0 0
1 0 2
1 0 1
2 1 1
2 0 0
1 2 1
2 2 1
10 8
3 3 1
1 0 2
1 1 2
2 0 3
2 1 3
1 0 0
0 3 1
0 3 0
0 2 3
2 0 1
10 9
3 0 3
4 5 3
4 3 5
3 1 4
3 1 1
1 4 0
5 5 5
0 2 4
3 3 1
3 5 5
10 9
3 2 1
1 1 1
1 3 3
0 0 2
3 1 0
2 1 0
2 2 3
1 0 1
3 2 0
2 0 3
10 5
3 0 0
3 2 4
4 4 3
0 0 3
3 0 4
4 2 4
0 1 3
1 3 0
1 4 3
0 2 2
10 2
3 2 5
1 4 3
4 1 2
4 4 0
5 0 2
3 2 0
4 0 5
0 5 2
0 4 3
5 1 3
10 8
1 2 2
1 0 1
0 2 1
2 0 1
2 1 1
1 0 0
1 2 0
0 0 1
1 1 2
0 2 0
10 4
3 0 2
3 2 0
2 0 0
3 3 3
0 2 2
0 3 0
0 1 3
0 2 0
2 2 0
3 1 1
10 8
3 3 1
1 0 1
1 3 3
2 2 1
3 3 0
2 2 3
0 1 0
0 1 1
1 0 3
1 3 2
10 2
0 1 1
3 0 4
4 2 3
4 1 2
2 1 4
0 1 2
3 1 3
2 1 1
3 3 3
3 2 4
10 4
0 4 3
2 2 4
2 0 0
3 4 0
4 4 0
1 0 3
2 4 3
3 2 0
1 3 2
2 4 4
10 5
0 0 0
1 0 2
0 1 1
2 0 1
2 1 2
2 2 2
2 0 2
1 2 2
2 1 0
2 1 1
10 3
3 0 2
2 3 2
2 3 0
3 3 3
2 0 0
2 3 1
3 1 2
0 0 3
3 2 2
0 2 1
10 6
2 2 2
0 0 0
1 2 2
0 2 2
1 0 0
1 0 2
2 0 2
0 1 1
0 0 1
1 0 1
10 9
3 0 3
1 1 4
4 4 2
1 2 1
1 3 2
3 4 4
4 4 0
4 3 2
0 4 3
2 2 0
10 6
1 1 1
2 0 1
2 2 2
1 2 1
1 0 1
0 2 2
1 1 2
2 1 0
1 0 2
2 0 2
10 7
2 1 2
2 2 1
2 1 1
0 1 2
1 0 1
2 0 2
1 2 2
1 2 0
2 2 2
1 0 2
10 6
1 4 5
5 2 2
4 5 3
4 4 0
0 0 4
4 3 5
0 3 4
4 2 4
2 3 3
5 4 4
10 3
3 1 0
3 0 2
3 2 2
1 3 1
2 1 1
2 3 0
2 1 0
0 2 2
0 1 0
3 3 1
10 5
5 4 1
3 3 2
1 4 2
2 5 3
0 5 1
5 3 1
0 5 0
0 5 2
3 5 5
0 1 3
10 3
2 2 2
0 3 1
1 1 2
2 0 0
2 2 1
0 3 3
3 2 0
3 3 2
0 2 2
1 2 0
10 8
0 2 1
0 0 4
0 0 3
4 2 4
4 1 1
0 1 3
1 3 4
3 1 1
2 0 2
1 2 1
10 9
0 1 2
1 1 1
0 2 2
2 0 2
2 2 2
2 2 0
2 1 0
1 2 2
1 2 0
0 2 0
10 6
0 0 2
2 0 2
0 3 0
0 3 1
3 0 2
2 3 0
3 3 3
2 2 3
2 1 2
0 3 3
10 7
0 0 1
2 1 1
2 1 0
1 1 1
0 0 0
1 0 0
0 0 2
1 2 1
0 1 2
0 2 2
10 9
2 0 0
0 4 2
1 2 1
3 1 1
4 4 4
2 3 3
3 4 3
2 3 0
1 2 0
1 4 0
10 5
1 3 2
2 0 0
0 3 1
2 0 3
3 2 2
1 2 2
2 2 3
0 2 1
2 1 3
1 1 3
10 7
2 2 0
3 2 1
0 0 0
1 0 3
3 0 0
2 1 3
1 0 2
3 1 3
3 2 3
2 2 3
10 3
3 0 3
1 1 2
3 0 2
1 3 2
0 3 0
0 1 0
0 2 0
3 2 2
0 0 0
2 2 0
10 4
0 2 3
4 2 1
4 3 4
1 0 4
1 0 2
1 0 3
3 3 4
4 4 4
1 3 3
3 4 2
10 8
3 2 0
0 4 0
0 3 2
3 1 1
1 1 1
0 2 2
0 3 3
2 4 1
1 2 0
2 2 4
10 7
2 0 1
2 0 2
1 2 1
0 2 0
1 2 0
1 0 0
2 1 2
2 2 0
2 1 1
1 1 0
10 7
0 0 0
0 1 2
2 1 1
1 1 2
0 0 2
1 2 2
2 0 1
0 2 0
2 1 0
0 2 2
10 7
1 3 5
3 4 4
4 4 1
5 0 2
5 1 5
1 4 2
0 1 2
0 2 5
3 0 0
5 4 2
10 8
2 0 1
1 2 0
0 2 0
2 1 0
2 0 2
0 1 0
2 2 0
1 1 0
1 0 2
1 0 1
10 6
0 1 4
1 2 3
0 5 1
1 0 0
3 5 3
3 5 2
0 1 3
1 4 1
3 1 1
0 0 0
10 8
2 2 1
3 2 0
2 1 2
1 0 2
0 2 1
0 3 1
0 1 0
3 1 1
0 1 1
1 3 3
10 7
3 0 4
2 0 2
0 4 2
2 1 0
3 3 3
2 0 1
2 1 1
1 1 3
0 0 4
3 0 1
10 4
5 5 3
5 1 3
4 3 3
4 1 4
4 0 0
1 0 2
3 4 4
2 0 1
3 2 3
0 0 0
10 9
2 1 1
2 1 2
2 1 0
1 2 2
3 2 0
0 2 2
0 2 3
1 0 2
3 3 2
0 3 2
10 3
3 2 3
1 4 3
0 2 1
3 0 1
0 2 5
1 5 5
5 5 0
3 5 5
5 1 5
4 2 5
10 6
3 4 0
0 3 3
4 3 1
0 0 2
1 3 2
2 0 1
3 0 0
4 3 0
1 4 1
3 0 3
10 5
2 1 1
1 4 1
1 1 0
1 0 0
3 1 3
2 0 3
2 2 3
1 0 4
0 2 4
3 0 4
10 6
0 2 2
0 0 1
0 2 0
1 1 0
2 2 1
0 0 0
1 0 0
0 2 1
1 0 2
1 1 1
10 9
2 2 2
3 0 1
2 3 1
3 1 3
2 2 0
2 0 0
1 1 0
0 0 2
0 3 3
0 0 3
10 8
2 3 0
0 0 2
2 3 1
3 0 0
1 2 0
1 3 1
1 1 0
2 0 2
3 3 0
3 3 2
10 7
1 1 0
1 0 0
1 0 1
0 2 0
0 0 1
2 0 0
2 2 1
1 1 1
0 1 2
2 1 2
10 8
3 2 0
0 3 3
2 2 2
2 1 3
2 3 0
0 1 0
3 2 1
0 0 1
1 3 2
0 2 2
10 4
5 1 1
2 1 4
0 0 4
0 0 0
0 5 1
2 2 1
2 5 0
0 0 1
3 1 0
2 2 2
10 2
4 0 3
3 4 3
4 3 4
4 2 3
0 2 2
1 2 3
4 3 3
4 3 2
4 1 4
4 2 0
10 6
0 0 1
3 1 0
3 0 0
2 2 1
1 2 0
0 2 3
1 0 0
0 0 0
0 2 0
1 2 3
10 9
0 1 2
2 1 1
1 0 0
2 1 2
0 1 0
2 2 2
0 2 1
1 1 1
0 2 2
0 2 0
10 4
0 0 2
2 2 2
0 1 1
1 1 1
1 0 0
0 0 1
0 0 0
1 2 1
1 0 1
2 0 0
10 6
2 0 4
2 0 3
2 1 1
1 1 0
4 0 0
2 3 4
1 0 4
3 1 1
0 4 2
3 1 2
10 6
3 3 2
0 3 0
3 1 1
1 0 3
3 3 1
0 0 2
2 1 3
0 3 3
3 2 2
2 1 0
10 7
3 2 0
2 0 2
1 0 0
1 1 0
3 1 0
2 3 2
2 1 0
2 2 2
2 1 2
0 3 0
10 7
2 2 2
1 1 3
3 0 1
1 0 0
1 1 1
3 0 0
3 2 3
3 2 2
2 1 2
2 3 3
10 2
0 1 1
1 2 1
0 1 4
4 0 3
4 1 0
2 0 1
3 4 1
4 2 0
4 4 0
1 4 0
10 6
0 2 0
1 2 2
1 1 2
0 0 0
1 2 0
1 2 1
1 0 1
2 0 1
1 0 2
2 2 2
10 2
1 0 1
1 1 0
2 1 1
1 2 2
1 1 1
0 2 1
2 0 0
1 1 2
1 0 2
1 2 0
10 5
3 2 1
3 1 4
2 0 2
4 2 2
2 3 3
3 0 2
0 4 2
4 1 3
0 2 0
1 1 0
10 8
3 2 1
0 5 3
1 2 5
4 3 4
3 1 1
3 1 5
4 0 0
3 0 2
2 3 1
5 4 5
10 9
4 4 0
3 4 3
1 1 1
1 1 4
3 3 4
4 1 3
2 1 3
1 2 2
2 2 2
4 4 3
10 7
1 2 0
0 1 0
2 0 2
3 0 2
2 3 1
0 1 1
3 1 0
0 1 2
1 2 3
3 3 0
10 6
2 4 2
0 3 3
1 1 4
1 1 2
0 4 0
0 4 1
4 3 2
4 1 1
3 3 2
3 0 4
10 8
0 1 1
4 3 4
4 3 2
3 4 0
4 4 0
4 4 1
3 4 4
4 2 4
1 2 2
0 3 0
10 6
0 2 3
3 0 0
0 0 2
0 3 0
3 1 1
3 2 0
1 3 2
3 3 2
0 2 2
2 1 0
10 5
2 0 2
1 4 2
0 5 4
5 2 5
3 0 4
3 4 4
3 5 2
2 0 0
4 2 4
2 2 0
10 7
0 1 3
1 2 0
3 1 0
2 3 2
4 2 4
2 4 4
3 0 3
4 2 3
2 2 3
0 3 1
10 6
2 1 1
3 0 0
4 0 1
0 2 2
0 3 0
2 1 4
0 0 1
3 3 2
1 3 0
1 4 0
10 5
0 2 2
0 2 1
0 1 2
1 0 0
3 3 1
3 0 3
2 0 2
3 0 2
2 3 3
1 1 2
10 8
2 4 2
0 4 3
0 2 3
1 1 0
4 4 3
1 4 1
0 2 2
4 1 2
2 3 4
2 2 2
10 8
1 2 1
1 3 5
0 1 0
3 5 1
5 2 4
4 3 1
5 3 1
2 3 1
0 0 4
3 2 4
10 9
3 1 0
5 5 0
4 2 4
2 4 3
3 0 0
5 1 0
5 2 3
1 4 1
4 5 1
3 4 2
10 3
3 2 4
3 3 4
1 4 5
1 0 3
1 5 5
4 2 1
0 4 1
2 2 5
3 0 0
1 0 2
10 9
0 1 0
0 2 1
3 2 1
0 0 0
1 1 0
0 3 3
0 2 0
3 2 0
0 0 1
3 2 2
10 9
5 2 2
2 4 5
0 0 3
2 1 5
2 4 0
1 2 4
0 4 1
3 3 2
2 3 0
5 2 3
10 3
1 1 2
2 1 1
0 0 2
3 1 2
0 0 1
1 3 1
0 0 3
2 3 1
3 2 3
3 3 0
10 3
0 2 3
2 3 4
2 3 2
1 3 0
1 3 1
0 3 4
3 4 2
0 0 1
0 1 4
4 3 4
10 2
0 5 5
0 2 4
3 4 3
4 5 1
0 5 3
2 0 1
0 3 2
5 5 1
3 4 1
2 5 5
10 5
1 0 5
5 4 0
5 1 4
2 0 3
4 3 5
4 5 4
1 5 2
3 3 0
1 0 0
1 4 4
10 6
0 2 0
1 2 3
1 1 0
1 3 2
3 1 3
2 3 1
0 2 2
3 2 3
2 3 2
0 1 0
10 4
3 0 2
2 0 1
3 0 0
0 2 2
2 1 0
3 0 3
0 0 2
3 1 2
0 0 1
0 3 0
10 7
0 0 1
2 0 1
1 0 2
1 0 0
1 1 2
2 1 1
1 2 1
0 1 2
2 2 0
0 2 2
10 6
0 3 3
3 1 0
2 3 0
3 3 3
2 1 2
2 1 3
3 2 0
1 1 0
1 2 2
0 3 2
10 2
0 0 4
1 0 3
3 4 4
4 4 3
2 4 0
1 1 3
3 1 1
4 0 3
2 0 3
1 2 0
10 7
3 0 5
3 3 3
0 2 3
5 5 0
3 5 2
5 5 4
3 4 0
1 4 1
2 2 5
0 4 2
10 8
5 0 1
3 1 4
2 0 4
5 4 3
0 1 3
5 5 5
2 1 3
5 0 3
0 4 4
0 4 0
10 7
2 1 2
1 0 0
3 1 1
0 2 2
0 3 3
3 0 0
3 1 0
3 0 1
1 2 1
3 2 0
10 7
3 1 3
2 1 0
0 1 1
1 1 2
3 2 3
1 4 0
0 3 2
2 1 2
2 1 3
0 0 2
10 5
2 3 4
2 4 4
4 1 1
1 3 0
1 4 4
2 1 2
1 1 4
3 3 4
3 3 3
3 4 3
10 7
2 2 0
2 0 0
1 3 1
1 0 3
4 1 2
3 4 4
4 4 5
3 2 2
0 0 3
1 5 2
10 7
2 0 3
2 0 0
1 2 2
3 2 0
1 3 2
1 2 0
3 2 2
2 1 1
2 1 0
0 2 0
10 3
0 1 1
2 1 1
1 2 1
2 0 0
1 2 0
0 1 0
1 0 2
0 1 2
0 2 1
0 0 2
10 2
1 0 0
5 1 5
0 1 1
0 1 4
1 3 2
2 2 1
4 5 1
5 5 3
2 4 1
1 1 5
10 2
3 3 2
3 5 1
3 4 5
1 0 2
1 0 3
3 3 4
2 1 0
4 0 3
2 4 4
2 1 1
10 7
0 2 3
3 0 2
1 3 2
0 3 3
2 1 2
1 2 1
0 2 2
0 1 0
1 2 2
3 2 3
10 9
4 1 3
3 1 0
3 4 1
3 4 2
1 4 3
3 3 4
4 4 3
1 1 4
2 2 2
4 3 0
10 8
3 1 1
3 3 2
2 2 4
4 1 4
4 1 0
1 4 3
2 3 0
0 4 2
4 2 4
3 0 1
10 2
0 1 4
5 2 5
2 4 5
0 0 3
4 5 4
2 2 0
5 4 2
3 4 1
3 2 4
0 4 4
10 3
0 3 2
0 2 2
1 0 0
0 2 0
1 2 1
0 3 3
1 1 2
3 0 2
1 0 2
2 0 0
10 6
1 2 0
0 0 1
2 2 0
2 1 0
0 0 2
1 0 0
2 1 2
0 1 1
1 0 2
0 0 0
10 8
0 5 2
2 1 5
5 4 1
5 4 2
1 2 2
0 1 5
3 2 1
2 3 2
2 1 1
4 5 2
10 3
0 1 2
0 2 1
2 1 0
2 0 1
0 2 2
0 0 2
1 1 0
1 0 0
1 0 2
1 2 1
10 8
2 1 0
0 1 0
0 0 1
1 2 1
0 2 2
2 0 2
2 2 2
1 1 1
2 2 0
1 0 1
10 9
4 0 1
4 1 1
1 0 3
1 0 4
2 4 4
1 1 0
2 4 1
1 4 0
4 0 4
2 3 4
10 9
3 1 0
3 3 0
0 2 1
4 4 2
2 5 0
0 3 2
4 0 0
1 3 4
5 4 3
2 1 0
10 5
1 2 0
2 2 1
2 1 3
1 2 3
1 0 3
0 3 3
2 1 1
2 3 3
3 0 3
2 1 2
10 8
0 2 1
1 2 0
1 1 0
2 1 2
2 2 2
1 1 1
0 1 1
2 1 1
2 1 0
0 2 0
10 4
2 3 2
2 3 3
0 1 1
2 2 1
1 2 3
3 1 0
3 3 0
2 1 3
1 2 0
0 3 1
10 8
4 4 3
1 2 0
0 2 1
0 2 3
4 1 4
2 2 0
4 0 3
0 0 2
3 2 1
4 0 2
10 6
5 3 2
4 2 3
4 3 0
5 2 3
1 4 1
1 4 0
2 5 5
2 4 0
0 3 2
0 2 1
10 8
1 0 1
0 1 0
0 0 2
1 1 2
0 1 1
1 2 1
2 2 0
1 1 1
1 1 0
1 0 0
10 8
0 3 1
3 0 0
3 2 2
0 2 0
3 1 2
3 0 3
0 0 1
2 0 3
1 2 1
3 3 0
10 8
4 4 4
2 0 5
1 3 2
1 0 2
5 5 1
0 1 5
3 5 2
5 5 4
1 2 4
3 1 3
10 6
4 1 2
1 2 0
4 1 4
4 2 5
4 3 0
5 1 3
4 2 4
0 0 3
3 1 1
1 2 1
10 9
0 4 4
1 3 2
0 4 3
2 0 0
4 3 4
1 1 3
1 2 3
4 4 1
4 3 1
4 1 4
10 9
0 1 1
2 2 0
0 2 2
0 2 0
2 0 1
1 1 1
0 2 1
1 1 0
1 1 2
1 2 0
10 9
0 3 1
2 3 3
2 2 1
3 1 3
1 2 0
3 2 2
0 1 0
2 2 2
0 1 1
3 3 2
10 5
4 2 2
1 1 4
1 2 3
4 1 3
1 5 0
5 0 0
0 4 4
5 5 5
1 5 3
1 4 2
10 4
3 2 1
0 1 3
1 2 3
0 1 4
0 4 1
2 4 0
4 3 1
0 4 2
1 2 2
0 3 1
10 3
1 0 0
0 1 0
2 0 0
2 1 1
2 2 0
1 0 1
1 1 1
0 0 1
1 2 2
2 1 2
10 9
0 1 1
0 1 0
1 2 0
0 2 2
2 0 2
1 0 1
1 1 2
1 0 0
1 0 2
0 0 0
10 6
3 1 2
1 0 1
2 0 1
1 3 2
0 1 3
2 0 2
2 2 3
3 0 0
3 2 0
0 3 0
10 8
2 2 1
1 2 2
0 1 2
0 2 1
0 0 0
2 0 0
0 0 2
1 1 1
0 2 2
1 0 0
10 6
0 0 2
0 2 0
0 2 2
0 1 1
0 1 2
0 1 0
2 0 0
0 2 1
2 1 2
1 2 0
10 6
1 2 3
3 1 3
4 0 0
4 1 3
1 4 2
4 1 0
3 4 3
4 0 3
0 1 0
4 1 1
10 4
1 3 1
2 4 2
3 3 2
2 3 0
4 3 0
1 4 2
0 1 1
4 0 3
2 0 3
1 2 0
10 9
1 4 3
0 2 1
1 3 2
1 1 0
0 4 2
2 2 2
3 0 1
1 3 1
3 3 0
0 2 3
10 6
1 4 2
2 4 4
1 0 3
2 4 2
0 3 3
0 4 1
3 1 4
0 3 4
2 4 1
4 4 3
10 8
0 2 2
3 0 0
0 1 0
3 3 1
0 2 1
1 2 0
2 0 0
1 2 3
2 0 1
1 3 2
10 4
5 0 3
1 2 4
1 0 3
5 1 2
1 5 0
5 5 2
2 1 5
1 0 2
5 4 2
2 2 5
10 2
3 0 1
0 0 2
2 0 2
3 1 0
0 3 2
3 1 1
3 2 3
0 3 3
1 0 0
3 0 3
10 9
2 1 3
0 2 1
2 0 1
1 1 0
1 3 3
3 2 3
2 3 0
0 1 1
1 2 3
1 2 2
10 8
3 2 2
1 1 1
0 1 4
3 1 2
1 0 3
0 3 0
1 1 5
3 0 3
5 2 1
2 1 2
10 3
4 2 1
5 3 5
5 4 5
2 3 4
4 3 2
4 4 3
1 1 1
4 3 5
2 2 1
1 5 3
10 6
3 5 2
3 3 2
0 3 4
4 3 5
2 2 2
3 1 0
0 2 0
3 3 3
2 5 0
2 5 1
10 3
0 1 0
0 2 2
0 0 2
1 0 1
2 1 1
1 0 2
1 0 0
2 0 2
1 2 2
0 2 0
10 8
0 3 0
0 2 3
2 2 0
3 2 2
3 0 2
0 1 3
1 0 2
0 3 2
0 0 3
1 3 3
10 8
1 1 4
4 5 5
3 1 5
5 4 3
2 4 1
5 0 3
1 4 1
3 2 0
2 3 3
0 4 2
10 3
1 0 1
2 1 1
1 2 1
0 1 1
0 2 0
1 0 0
0 0 0
2 0 2
0 0 1
0 1 0
10 5
0 4 4
2 0 2
0 0 3
4 1 1
3 3 5
4 0 2
0 2 4
5 5 2
2 1 4
0 2 2
10 6
1 3 3
4 1 3
1 0 3
2 1 1
1 4 3
2 1 4
1 1 1
2 0 1
0 0 3
4 1 4
10 9
1 0 0
2 3 3
1 1 0
0 0 1
1 3 1
0 1 2
1 2 0
1 1 1
0 3 0
1 2 2
10 7
3 4 2
2 0 3
0 3 1
4 3 3
3 2 2
0 0 0
2 2 1
0 2 2
2 0 1
0 1 1
10 8
1 4 0
3 4 1
3 2 3
4 0 2
4 0 4
1 4 2
0 1 4
4 4 4
0 4 0
4 0 3
10 9
0 0 0
2 1 0
0 0 2
2 0 1
0 2 2
0 2 0
1 0 2
2 1 1
1 0 1
0 0 1
10 7
5 0 5
3 2 2
4 1 4
1 3 5
1 3 4
0 5 2
2 0 1
3 1 5
2 1 3
1 0 1
10 2
2 2 0
0 0 3
0 3 0
0 2 0
3 1 0
3 3 0
0 4 1
3 4 2
1 3 2
1 4 4
10 6
0 0 3
1 1 4
1 3 4
3 0 4
4 3 2
1 2 0
3 3 3
3 2 1
3 3 0
4 0 0
10 3
2 3 0
2 3 3
1 1 2
1 1 0
1 3 0
3 0 2
1 3 2
2 1 2
3 1 1
1 1 3
10 7
1 3 0
2 3 0
4 4 3
0 4 1
0 3 4
1 0 3
0 1 5
5 3 2
5 5 2
0 3 1
10 3
4 2 1
2 4 3
3 1 4
0 3 3
1 4 3
1 3 3
3 0 2
4 3 0
0 0 4
2 4 1
10 6
4 0 0
0 3 3
2 1 2
1 4 0
1 1 3
3 2 3
0 1 4
4 0 4
4 1 1
1 4 1
10 9
0 2 0
2 0 2
2 2 2
2 2 1
1 0 1
2 1 2
0 1 1
2 1 1
1 1 0
0 0 0
10 5
2 3 5
5 5 3
5 0 3
1 3 4
2 4 3
2 2 2
5 2 3
0 2 5
0 4 5
3 3 4
10 4
1 0 4
1 3 2
4 0 3
1 0 3
0 3 0
4 4 2
4 1 2
2 3 2
0 1 1
2 0 2
10 5
1 0 0
3 1 2
3 1 1
1 2 1
2 1 0
0 2 0
3 2 2
3 0 2
0 0 2
1 2 2
10 3
1 3 4
4 2 0
4 2 3
0 3 2
3 3 3
2 3 1
0 0 3
4 0 3
1 2 4
2 1 1
10 9
2 3 1
4 4 2
4 2 0
2 5 2
2 4 5
0 1 5
2 1 1
3 3 4
2 0 0
3 2 5
10 2
0 4 4
1 3 0
1 3 4
0 2 2
1 3 2
4 4 2
0 1 3
0 2 1
2 0 0
2 1 1
10 5
1 3 1
4 2 3
1 3 2
3 2 0
0 1 0
0 2 3
4 3 1
3 3 3
1 2 3
2 3 4
10 7
1 2 0
0 0 0
0 1 1
0 0 2
1 1 2
2 1 1
2 2 2
2 1 0
2 2 1
1 2 2
10 6
4 4 2
2 0 0
1 4 0
2 4 2
2 2 1
4 2 1
1 4 4
0 1 4
0 1 2
4 0 4
10 4
0 0 0
2 3 2
0 3 1
2 0 3
3 3 1
1 3 1
0 1 3
2 2 2
2 1 2
2 1 1
10 8
2 3 3
3 0 0
1 3 1
0 0 0
3 1 3
1 0 1
2 0 0
3 1 1
0 1 3
3 2 2
10 6
1 4 3
2 1 2
1 1 2
3 4 4
0 3 4
3 3 4
1 3 4
1 3 2
1 4 4
1 2 0
10 9
2 0 0
2 2 2
2 1 1
1 2 1
0 2 0
1 0 1
1 1 0
2 1 0
0 1 1
0 2 1
10 9
2 0 3
3 3 0
0 1 2
2 0 2
2 1 3
0 3 0
0 0 3
3 1 3
0 2 0
2 1 1
10 9
2 2 3
3 2 1
3 0 1
0 1 3
1 3 3
1 2 0
0 2 0
1 1 0
3 1 2
3 1 1
10 3
1 5 0
3 3 1
4 2 2
5 2 0
3 4 1
5 0 1
0 2 1
0 4 2
2 1 4
3 4 4
10 4
2 0 0
0 2 0
2 2 2
0 0 1
1 0 0
0 0 0
1 1 1
1 2 0
0 0 2
0 1 0
10 5
0 3 3
1 2 0
3 0 1
0 1 4
1 2 1
1 0 4
1 3 3
3 3 0
4 1 0
1 1 0
10 7
0 4 4
3 4 3
4 2 2
3 1 4
0 0 2
2 3 1
0 1 3
4 4 3
2 4 0
3 1 0
10 6
1 4 0
4 3 1
5 0 5
2 4 4
1 0 1
3 3 0
0 5 2
5 4 0
5 0 4
3 5 4
10 9
2 2 1
4 3 3
4 4 0
2 0 1
0 3 0
3 3 0
3 3 1
3 2 3
0 1 4
1 0 1
10 2
0 2 1
3 0 2
2 2 1
1 3 1
1 1 1
3 2 2
0 2 0
2 3 3
1 3 0
2 1 2
10 2
4 2 2
1 0 5
3 0 1
5 5 4
3 3 3
3 2 3
4 2 1
2 1 5
3 3 0
2 0 2
10 3
3 2 0
3 4 3
0 0 0
0 4 3
2 1 3
4 0 3
3 1 1
4 2 3
0 4 2
3 1 2
10 6
0 2 1
3 3 0
2 3 0
3 0 1
1 2 0
3 1 0
2 2 3
1 1 3
0 2 3
2 1 2
10 2
0 1 0
1 2 1
2 1 2
0 1 1
1 0 1
2 2 1
0 2 2
0 2 1
1 2 0
1 1 0
10 9
3 2 3
0 3 2
2 2 4
0 1 0
1 2 4
3 0 2
5 4 3
5 3 3
0 3 5
1 4 1
10 6
3 4 2
2 4 2
1 4 0
2 3 1
0 4 2
1 3 0
0 0 1
0 3 2
1 4 4
2 1 2
10 6
3 3 0
2 2 2
3 2 3
2 0 3
2 3 3
0 0 2
1 0 2
3 1 2
1 3 0
3 0 0
10 6
5 5 5
3 4 3
3 0 2
5 5 4
2 0 5
2 4 0
5 1 2
2 1 2
4 0 1
2 0 1
10 7
2 1 1
1 0 2
0 0 0
0 1 1
2 1 0
1 1 1
2 2 2
2 0 2
1 2 0
1 1 0
10 7
0 0 4
2 3 2
1 4 3
3 4 1
0 5 1
1 2 5
4 5 0
1 5 5
2 0 3
4 5 3
10 2
1 0 3
0 1 3
2 2 1
0 0 0
1 3 1
2 3 0
3 0 2
3 3 0
3 2 1
1 3 3
10 3
2 2 0
2 0 0
2 0 1
1 0 2
2 1 0
1 2 2
0 0 2
1 0 0
1 0 1
0 2 1
10 5
2 2 1
2 1 1
0 0 2
0 2 2
0 3 1
3 3 2
2 1 3
1 1 2
2 0 0
0 0 1
10 8
3 2 0
1 3 3
2 2 1
2 1 4
1 0 2
0 2 4
0 4 4
2 3 2
2 2 0
3 0 0
10 6
1 5 1
3 4 4
0 1 1
4 1 2
2 2 2
0 0 1
0 5 0
1 3 0
1 0 2
5 1 4
10 2
4 1 2
4 2 2
3 2 2
3 2 3
2 3 1
1 2 3
3 0 2
1 2 2
1 0 3
1 1 0
10 5
2 2 0
3 3 1
3 1 0
3 3 2
1 1 2
1 2 0
3 0 3
2 2 2
3 0 1
0 1 3
10 2
4 2 4
1 3 4
4 4 4
0 4 0
3 4 3
0 3 1
0 1 4
4 3 0
4 3 2
3 1 3
10 2
0 2 0
1 1 2
1 2 2
0 2 1
1 0 0
0 0 1
1 1 0
0 1 2
0 0 2
1 0 2
10 8
2 0 1
0 1 1
2 3 1
0 1 0
0 0 3
3 2 3
1 3 2
2 2 3
2 3 3
2 2 0
10 6
4 3 1
1 3 4
4 0 5
5 3 2
1 4 1
3 5 1
3 1 1
0 0 2
1 0 4
4 0 4
10 7
0 2 2
0 0 1
1 0 2
0 1 1
0 2 1
0 0 0
1 1 0
1 1 2
1 2 1
2 0 0
10 3
4 0 1
4 1 4
4 0 4
4 0 0
1 3 1
3 2 3
3 0 2
0 1 0
4 0 2
1 4 1
10 7
0 4 4
4 4 0
1 3 3
1 2 3
4 1 2
3 1 3
4 3 1
4 2 1
2 1 2
3 3 1
10 7
0 3 0
3 1 1
5 3 5
4 1 3
3 3 0
5 0 3
0 0 2
5 2 3
5 2 5
3 2 5
10 9
3 3 4
1 4 0
2 4 1
3 3 1
4 3 3
2 3 0
3 2 4
0 4 3
0 0 4
0 2 1
10 8
0 4 2
5 5 2
2 0 3
2 1 4
4 2 5
4 1 1
4 3 4
5 1 3
3 2 3
0 5 0
10 2
1 4 1
2 1 1
0 2 0
1 3 3
1 0 4
0 4 2
2 3 2
3 1 3
4 4 1
1 2 0
10 7
4 0 0
0 0 2
5 3 1
3 3 2
4 0 2
4 4 2
1 1 1
5 4 3
0 1 2
4 5 4
10 4
1 0 0
3 3 2
2 3 1
1 2 0
3 0 0
2 3 3
2 0 1
2 1 3
1 0 1
0 0 1
10 7
0 0 1
3 0 0
0 2 3
3 0 4
4 3 2
0 3 3
2 1 1
1 2 1
1 1 3
0 4 3
10 4
0 2 2
0 0 2
1 1 2
2 0 1
1 2 2
2 2 1
1 2 1
2 2 0
2 0 2
0 0 0
10 3
3 2 3
2 4 3
0 2 4
5 5 4
5 1 5
2 3 4
4 1 0
2 1 4
2 0 4
4 4 1
10 9
3 4 1
1 4 0
4 2 3
1 1 1
0 3 3
1 2 3
3 2 1
1 3 2
2 0 4
4 2 2
10 5
1 0 0
2 1 0
0 1 2
1 2 1
0 0 0
1 2 0
0 2 1
2 0 0
1 1 0
0 1 1
10 7
1 3 3
3 0 1
0 2 3
1 1 0
2 3 1
3 3 3
0 3 2
2 2 1
0 1 2
3 2 0
10 3
0 0 2
0 2 3
3 3 3
3 1 2
1 3 1
3 0 3
1 1 2
0 2 1
0 1 2
0 0 3
10 3
5 3 4
5 2 2
2 2 1
1 2 3
0 2 0
5 0 1
1 1 2
4 2 3
1 4 4
2 3 2
10 7
3 3 0
0 0 1
2 2 4
0 1 0
3 1 3
2 3 1
2 2 2
3 3 1
0 0 2
0 3 2
10 7
0 0 1
1 2 2
2 1 0
2 1 1
1 1 1
2 1 2
1 0 2
0 1 0
2 2 2
1 2 0
10 8
1 0 1
1 0 2
5 1 4
5 3 4
3 3 1
1 3 3
5 2 5
4 5 2
5 3 1
2 2 4
10 2
1 4 3
0 0 4
0 4 0
4 4 5
0 5 2
4 3 4
3 5 2
2 5 0
1 1 5
5 4 2
10 5
0 0 0
2 0 2
0 0 2
1 1 1
1 0 0
2 2 2
2 0 1
2 0 0
2 1 1
0 2 0
10 6
1 1 1
2 2 0
2 1 1
1 1 0
0 0 1
1 1 2
0 2 0
0 0 2
0 0 0
2 1 2
10 9
3 0 2
2 3 2
0 3 2
0 0 1
3 2 0
2 2 2
1 3 0
1 1 3
1 2 0
1 0 1
10 3
1 1 2
0 3 0
0 2 2
2 2 0
2 1 2
1 1 1
1 1 0
0 1 2
1 3 2
0 0 0
10 8
2 3 3
3 4 3
4 3 1
3 3 1
4 0 1
4 1 2
0 4 4
4 1 3
4 4 3
0 1 3
10 7
0 1 1
0 4 3
1 2 0
1 1 4
1 4 0
2 0 3
3 3 2
3 0 3
0 4 4
1 1 3
10 8
1 1 1
1 0 1
3 3 1
3 0 2
3 0 3
3 1 1
0 0 2
2 2 0
2 3 0
2 2 2
10 2
3 3 1
1 1 1
2 1 2
0 0 1
2 0 0
0 0 3
1 0 0
3 2 1
3 2 2
1 0 2
10 2
3 2 5
1 1 3
2 5 0
3 2 1
2 2 4
1 5 3
5 1 5
5 4 1
1 4 3
5 1 1
10 9
2 0 0
0 2 0
1 2 1
2 1 1
0 1 1
2 1 0
1 1 0
0 1 2
1 2 0
0 0 2
10 6
0 0 1
0 4 0
3 2 0
4 3 1
4 1 2
2 4 4
4 4 0
0 1 2
3 3 0
1 0 3
10 5
3 2 3
2 2 0
2 2 1
3 0 0
0 1 1
4 4 4
4 0 3
3 2 4
0 0 2
1 2 1
10 4
0 5 3
2 4 5
3 1 0
4 0 0
4 5 5
3 1 3
2 3 4
0 1 1
0 0 3
5 4 5
10 5
0 3 0
2 1 2
4 3 5
5 3 1
3 5 2
3 3 4
4 0 0
2 1 0
1 0 4
2 4 5
10 2
4 3 1
0 4 1
0 1 2
3 4 2
4 3 2
0 0 3
2 4 2
1 3 4
0 3 1
1 4 4
10 8
3 4 4
1 4 2
5 1 5
5 5 5
4 4 2
4 5 4
0 4 4
4 2 1
3 0 1
3 0 2
10 8
2 0 1
0 2 0
2 0 2
0 1 1
0 2 1
1 0 1
0 0 2
1 1 0
1 0 2
0 2 2
10 6
3 3 0
3 2 3
2 2 2
3 1 0
3 0 1
3 0 3
0 2 0
1 2 3
1 1 3
3 2 0
10 5
2 1 1
2 2 4
0 2 1
2 3 4
4 0 0
0 1 3
1 3 4
0 3 1
4 0 3
3 4 0
10 6
3 1 0
1 0 4
4 2 3
4 4 4
3 4 2
1 1 3
2 3 1
2 2 4
2 0 0
4 4 0
10 9
1 1 4
3 3 0
1 0 1
0 2 1
0 3 1
3 2 0
3 3 3
0 2 4
4 0 2
4 0 4
10 7
1 2 3
2 2 3
0 2 0
3 1 2
3 0 0
3 3 3
3 1 3
3 2 3
0 3 1
1 2 1
10 3
0 1 1
1 4 2
4 0 1
4 2 2
1 0 2
3 1 2
3 4 3
4 3 0
2 2 4
1 4 0
10 5
1 4 2
2 1 1
3 3 2
0 3 0
0 2 0
2 0 0
2 4 0
3 4 4
4 2 4
3 2 2
10 9
2 2 1
0 1 0
1 1 3
1 0 2
0 1 1
1 3 0
3 2 2
0 2 3
3 2 1
2 0 2
10 6
4 0 5
5 3 5
1 0 5
4 5 2
3 2 1
3 0 0
0 4 2
4 3 0
4 4 5
3 2 3
10 8
4 3 3
4 4 1
1 4 0
2 2 0
2 1 1
4 4 0
3 2 3
3 1 2
1 0 4
1 2 1
10 4
0 1 2
0 1 1
2 2 0
1 2 1
0 2 2
0 0 2
1 0 1
2 1 0
0 0 0
1 0 2
10 3
1 2 0
2 1 0
2 1 2
0 1 2
0 1 1
0 0 0
1 1 2
0 1 0
0 2 0
1 1 1
10 3
2 0 3
0 4 1
5 2 3
2 2 2
3 3 3
0 0 1
1 4 0
2 0 0
3 0 4
3 5 1
10 6
3 4 0
3 4 2
1 4 3
4 1 2
5 2 5
1 3 5
5 0 4
0 5 5
0 0 1
0 1 1
10 9
1 1 2
2 0 1
2 1 3
0 2 2
3 2 3
2 1 2
1 2 2
3 3 1
1 3 2
3 0 1
10 2
1 2 3
3 4 3
2 0 2
4 0 3
1 1 1
1 3 2
4 3 1
3 3 0
4 2 4
4 2 2
10 6
2 1 0
0 1 0
1 0 1
1 1 1
2 2 2
2 2 1
0 0 2
2 0 0
2 1 1
1 1 2
10 7
2 0 0
1 0 1
2 2 2
1 1 0
0 0 2
2 2 0
1 1 2
1 2 1
0 2 0
1 1 1
10 2
2 4 3
4 2 3
0 3 1
1 4 4
1 4 3
4 1 1
3 0 2
3 1 1
2 1 0
1 2 1
10 7
0 4 2
4 0 1
3 2 3
2 3 0
2 0 1
0 1 2
2 2 1
0 3 1
2 0 0
0 2 0
10 3
0 4 2
3 4 4
0 4 3
1 2 2
0 1 1
3 2 1
2 3 3
0 1 2
4 4 4
4 1 4
10 8
1 3 3
0 3 3
3 3 2
3 1 2
2 0 1
1 0 0
1 0 2
1 1 1
0 2 2
2 3 0
10 7
1 0 1
2 1 2
3 1 3
3 1 1
2 0 1
0 1 2
3 2 3
0 2 3
0 1 1
2 0 2
10 9
1 1 1
2 1 2
0 2 2
2 2 0
1 2 0
2 0 1
2 0 2
0 0 0
2 1 1
1 1 2
10 5
1 3 3
1 4 4
0 2 4
0 0 2
2 3 1
0 4 0
1 1 3
4 2 4
4 1 3
4 4 2
10 5
1 0 3
3 0 2
0 2 1
1 2 1
3 1 2
3 3 2
2 1 1
0 0 2
2 1 3
0 3 1
10 7
1 1 1
0 3 1
2 3 0
2 3 3
2 3 2
2 0 3
3 0 3
2 1 3
1 1 0
2 0 1
10 3
3 1 1
0 2 0
1 1 0
3 0 3
2 1 3
1 0 2
1 2 2
3 2 3
3 0 1
0 1 3
10 5
0 2 3
4 1 0
4 2 0
3 3 1
2 4 3
3 0 3
0 3 4
1 0 0
3 1 4
1 1 3
10 6
0 2 1
3 1 1
4 4 3
3 2 0
2 1 2
4 2 3
4 3 3
4 1 4
3 0 2
4 0 2
10 6
3 1 2
3 2 1
2 3 0
1 1 0
3 3 2
3 3 4
2 0 3
4 3 0
3 0 0
4 3 4
10 4
3 1 4
3 3 4
0 0 5
4 4 2
1 5 5
5 2 0
1 3 5
3 2 0
5 0 5
3 4 2
10 4
4 4 5
0 1 2
4 5 0
5 1 4
2 2 2
4 2 0
4 3 4
1 4 1
1 0 0
5 1 2
10 2
0 5 2
2 4 1
5 2 5
4 1 3
1 5 5
4 5 4
5 3 1
2 0 3
3 0 4
2 5 1
10 9
1 2 3
0 0 3
1 3 1
2 0 0
0 1 0
2 2 3
3 0 2
0 2 0
3 2 1
3 1 0
10 2
1 4 4
4 0 3
3 1 1
4 2 1
3 1 2
3 0 0
0 0 4
1 2 0
1 3 1
0 0 1
10 3
2 4 1
4 1 2
3 0 4
1 2 3
0 0 1
1 3 3
4 2 3
0 2 3
3 4 1
2 3 1
10 6
2 1 1
4 4 4
1 4 5
4 3 2
4 3 1
1 5 2
4 2 5
5 3 4
3 3 5
1 0 2
10 3
2 4 0
3 2 0
4 4 2
2 5 3
3 5 1
1 2 5
0 5 0
4 2 5
5 5 0
4 1 5
10 3
3 1 2
2 1 2
0 0 0
3 1 3
3 3 0
3 3 3
0 3 3
2 3 2
3 2 2
0 0 1
10 4
0 1 0
0 0 0
2 0 3
3 3 3
0 0 3
1 2 2
2 1 0
0 1 2
0 0 1
2 2 1
10 2
2 1 1
0 3 1
2 0 1
1 0 0
1 2 0
3 0 0
2 1 0
3 1 3
1 1 1
2 3 0
10 2
2 3 0
3 0 2
1 3 2
2 4 0
3 1 2
1 0 1
1 0 2
4 4 3
3 0 3
4 1 3
10 7
1 0 1
2 0 3
2 3 3
0 3 2
2 1 0
1 4 1
5 5 2
5 3 5
5 4 5
2 4 5
10 7
2 0 1
0 3 5
2 0 0
4 2 4
5 0 2
2 4 3
1 5 0
2 2 4
0 3 4
3 3 2
10 4
0 3 0
2 4 0
2 0 5
0 1 1
1 1 5
5 5 3
2 3 1
5 5 0
0 4 4
2 5 0
10 4
2 1 1
3 0 2
3 2 2
1 1 1
2 2 2
3 0 1
3 3 0
2 0 2
2 2 3
0 1 1
10 2
5 3 5
1 2 1
5 1 5
1 4 2
4 2 1
3 5 0
5 5 5
1 5 5
1 3 1
2 3 2
10 6
0 0 1
3 1 1
4 0 4
0 2 3
1 2 3
4 1 0
4 0 1
3 5 5
0 1 4
4 2 2
10 6
1 2 0
3 3 1
3 1 1
0 2 3
1 1 3
2 0 3
3 1 2
0 4 1
3 2 0
2 3 3
10 2
3 2 2
3 1 4
2 1 1
4 2 1
0 4 1
4 4 2
1 3 4
0 3 2
0 1 0
3 2 0
10 6
0 0 1
1 1 1
2 0 1
0 1 1
1 2 2
2 0 2
0 0 2
0 2 1
1 2 0
1 0 0
10 2
2 1 1
3 1 3
1 3 2
0 0 2
3 0 4
3 0 3
1 4 0
1 4 3
4 0 3
1 3 1
10 5
1 5 4
0 5 2
2 0 0
1 4 2
1 1 1
4 4 0
2 1 5
1 4 4
2 3 3
4 1 3
10 9
1 2 1
2 1 2
2 2 2
2 2 0
2 2 1
2 0 1
0 0 2
1 2 2
1 1 1
0 2 0
10 9
2 2 3
0 2 0
3 2 2
1 3 1
3 1 2
1 1 0
2 3 0
1 3 0
1 1 1
2 0 3
10 4
2 3 4
0 1 4
0 2 1
3 1 3
3 3 1
0 0 4
4 3 3
3 2 2
0 3 4
4 1 2
10 9
0 1 0
0 1 2
2 1 2
2 0 2
1 1 1
1 1 0
2 1 0
1 1 2
0 1 1
1 2 2
10 7
0 1 0
0 0 0
0 2 0
1 0 2
1 0 0
1 2 2
0 0 1
1 2 0
1 1 2
2 2 0
10 2
1 1 1
2 0 0
1 1 0
0 0 0
2 2 3
1 0 1
0 3 3
0 0 1
2 3 2
1 0 0
10 3
4 3 2
0 2 5
4 0 4
1 0 2
4 2 1
3 3 2
5 3 1
0 1 4
5 0 4
5 3 3
10 4
4 3 2
0 1 0
2 3 4
2 1 1
4 2 2
2 1 3
2 0 3
4 0 2
4 1 3
0 0 4
10 7
2 2 1
1 0 1
0 1 0
0 1 2
1 2 2
0 2 0
0 0 2
1 2 1
2 0 0
2 1 2
10 6
1 4 2
1 1 0
3 3 2
4 1 2
3 1 1
2 0 0
2 3 2
0 4 4
0 1 2
3 2 0
10 8
3 0 2
1 1 2
0 3 2
0 1 3
2 2 2
3 0 0
0 1 0
3 0 3
0 0 3
2 3 0
10 3
0 1 2
0 2 1
2 2 2
2 2 0
2 1 0
1 1 2
0 1 1
2 0 2
1 1 0
1 0 1
10 6
1 0 0
1 2 1
1 1 0
0 2 0
1 2 2
2 1 1
2 2 1
0 2 2
2 1 2
1 1 2
10 6
4 3 5
1 4 2
5 4 5
5 1 5
2 1 4
1 0 3
3 1 0
5 0 4
3 3 4
5 3 0
10 9
0 0 2
3 3 1
5 5 0
3 1 1
0 4 2
1 4 4
0 2 2
3 4 1
0 4 4
5 5 3
10 5
3 3 0
0 2 4
4 2 0
2 3 5
2 1 2
4 4 2
1 5 5
2 4 1
5 5 2
1 4 1
10 2
2 2 3
1 1 2
0 3 3
4 3 2
2 5 1
4 5 4
4 4 1
1 3 0
4 1 4
2 1 3
10 9
5 5 5
2 5 2
1 2 5
2 0 5
4 0 1
5 3 5
0 2 3
5 2 5
3 5 1
2 4 3
10 8
2 2 2
1 0 0
4 4 2
3 1 0
0 3 2
0 3 0
1 0 1
2 2 0
2 1 4
1 2 1
10 2
5 5 5
4 1 4
5 2 0
3 4 5
3 0 0
2 5 4
1 5 1
4 2 3
0 0 1
0 3 1
10 4
0 0 1
1 0 1
1 1 0
0 2 0
2 1 2
1 0 2
2 2 1
1 1 1
0 2 1
1 2 0
10 6
2 2 0
2 0 0
2 1 1
1 2 1
1 0 2
2 1 0
2 2 2
2 0 2
0 1 1
1 1 2
10 5
3 4 2
3 2 0
5 5 3
4 5 1
2 5 1
1 1 4
1 0 3
4 5 4
0 2 4
1 5 2
10 7
1 3 0
4 3 5
5 2 1
4 4 0
5 1 3
3 0 1
1 4 5
2 1 1
5 5 3
4 1 4
10 4
1 1 1
0 0 1
0 3 2
1 2 0
1 1 3
3 3 3
2 2 1
3 2 2
2 1 3
0 1 2
10 8
0 3 0
0 0 1
1 1 0
3 2 2
1 2 3
3 0 1
2 1 0
3 1 2
0 0 3
2 1 2
10 4
4 2 2
3 4 0
0 0 4
3 2 3
4 2 4
4 1 0
1 1 3
0 4 3
3 3 2
0 1 3
10 6
0 2 2
1 2 1
2 2 0
2 1 2
0 1 2
2 1 1
1 0 0
0 2 1
2 0 0
0 2 0
10 3
3 3 0
3 0 1
1 3 1
1 3 3
3 1 1
1 0 2
2 0 0
1 1 0
2 1 3
0 0 3
10 6
0 4 0
1 1 1
3 2 0
0 1 4
3 0 1
4 0 0
1 0 2
1 2 1
3 0 3
1 3 4
10 4
5 1 4
0 1 2
2 5 2
4 1 0
2 0 0
3 4 4
5 3 5
3 4 1
5 2 1
5 0 0
10 9
0 2 2
3 3 3
1 0 4
2 0 3
0 4 0
0 4 1
3 4 1
1 0 0
1 4 3
4 1 4
10 9
2 2 2
2 1 0
0 1 2
1 0 2
0 2 1
2 2 1
1 0 0
0 1 1
0 1 0
1 2 0
10 8
0 2 0
0 2 2
0 1 0
1 1 1
0 0 0
1 2 2
1 0 0
1 1 0
2 1 2
1 2 1
10 7
2 0 1
0 1 0
1 2 3
1 1 0
0 0 0
0 1 3
2 0 3
0 0 2
0 3 3
3 2 0
10 3
1 0 0
4 3 4
4 2 2
2 4 0
3 2 4
2 1 4
3 1 0
3 0 3
4 1 4
4 3 2
10 8
0 0 5
3 0 4
3 1 0
4 5 0
4 0 2
4 3 3
4 0 4
1 1 4
2 5 0
3 1 3
10 5
0 0 0
2 0 0
1 4 4
2 1 1
0 3 4
3 1 0
3 4 0
2 1 2
4 1 3
0 2 0
10 2
1 4 4
4 2 2
4 4 0
4 0 4
3 1 3
0 0 1
4 3 0
4 3 3
1 3 3
3 4 1
10 5
0 2 2
2 0 2
0 3 2
3 3 2
3 3 0
1 3 2
1 2 2
2 0 1
3 1 0
2 3 2
10 8
1 1 0
3 0 2
2 2 0
3 1 0
3 3 3
1 0 3
3 0 1
3 1 2
0 3 2
2 0 2
10 4
0 3 0
3 0 0
2 1 2
2 0 2
0 2 3
0 2 1
1 1 1
3 1 1
3 3 0
2 1 1
10 6
0 2 5
3 2 2
5 4 5
4 2 2
2 3 3
2 0 2
3 2 4
0 2 3
5 3 1
1 3 2
10 2
1 0 1
1 2 2
0 0 2
1 2 1
0 0 1
2 2 0
0 1 1
1 1 0
2 1 2
0 2 1
10 3
0 1 0
2 1 1
2 0 1
2 1 0
1 2 0
1 2 2
0 1 2
0 1 1
2 1 2
1 1 2
10 7
1 2 1
0 0 1
0 1 1
0 2 2
2 0 2
1 1 1
1 1 0
0 2 0
2 2 0
0 2 1
10 8
2 1 3
0 1 0
0 2 3
0 4 0
0 0 4
2 2 2
0 3 0
4 3 1
1 1 4
3 3 2
10 3
2 1 2
2 1 1
0 1 2
0 1 1
1 0 2
2 0 0
1 0 1
0 2 0
2 1 0
0 1 0
10 7
0 2 2
0 2 1
0 0 2
1 0 0
0 0 0
0 2 0
1 2 0
2 0 1
1 1 0
0 1 2
10 2
4 3 0
1 2 1
2 3 2
0 0 0
2 1 2
1 3 3
0 3 3
2 3 0
3 3 0
2 4 0
10 5
3 3 3
1 1 3
0 2 2
1 3 2
3 0 1
1 1 1
3 0 4
3 4 1
1 3 3
0 1 2
10 8
1 2 5
3 2 0
4 3 1
0 1 4
5 3 2
1 4 4
3 1 4
4 1 2
5 2 2
2 4 0
10 9
4 4 3
0 4 4
2 4 1
3 1 1
3 1 3
4 3 1
1 1 3
4 2 4
3 2 2
1 4 4
10 7
0 0 1
0 0 0
0 2 2
2 2 1
1 2 2
0 2 1
0 1 2
2 1 1
0 0 2
1 0 0
10 2
1 2 3
4 4 4
1 1 2
2 5 5
5 2 4
0 3 0
1 1 1
1 5 1
2 4 0
3 2 1
10 8
3 2 0
1 2 3
0 2 1
1 2 2
1 3 2
3 2 1
1 0 1
2 1 2
0 3 2
2 2 2
10 3
1 4 4
1 1 1
1 4 0
3 2 1
4 3 0
0 4 2
3 0 4
1 3 1
0 1 1
4 0 4
10 5
1 2 3
1 3 0
3 3 3
3 1 2
0 1 2
3 2 2
3 1 3
1 3 3
0 3 0
1 0 0
10 7
0 2 2
3 0 3
3 3 2
4 2 2
2 4 3
2 2 4
2 1 2
2 2 1
2 3 0
3 4 0
10 4
0 1 2
1 3 5
1 4 4
1 0 1
0 2 0
0 3 5
0 5 1
3 5 0
1 4 2
5 3 1
10 5
0 2 2
1 0 3
3 1 2
2 0 2
3 2 2
3 0 1
0 0 2
1 2 1
0 3 0
1 2 0
10 2
0 3 4
2 2 5
0 1 3
3 4 2
3 4 5
5 4 3
2 4 1
2 0 5
5 2 3
5 2 2
10 7
0 1 1
2 2 2
0 2 0
2 2 1
1 1 1
2 1 2
2 2 0
1 0 0
0 0 1
2 0 0
10 2
2 0 0
3 3 0
2 1 0
1 4 0
3 3 1
3 0 1
0 3 0
2 1 2
0 1 2
1 2 3
10 9
0 1 3
0 0 1
3 1 2
2 0 2
4 0 0
1 1 3
4 0 2
3 1 1
3 0 3
0 3 0
10 5
3 2 4
2 4 4
1 2 4
4 2 1
4 2 4
4 3 3
2 4 3
1 2 2
2 4 0
0 3 2
10 5
4 5 3
0 5 2
5 1 4
4 3 5
1 0 5
1 0 2
3 1 3
4 3 1
2 0 3
0 1 2
10 6
4 4 4
3 3 0
1 3 1
4 3 3
4 2 2
3 1 4
3 3 2
3 2 0
4 2 3
3 1 3
10 5
1 4 5
2 2 0
0 1 5
4 5 0
4 5 5
4 3 2
1 4 0
0 5 5
0 3 3
2 2 5
10 9
2 5 3
5 2 0
4 5 3
2 1 1
3 3 3
4 1 1
1 4 0
5 3 0
4 3 5
5 1 4
10 5
5 1 0
3 4 5
1 5 3
2 0 1
0 4 5
5 5 2
3 3 2
5 3 1
4 2 2
1 1 4
10 3
1 3 1
4 3 3
3 5 1
5 2 4
3 1 4
1 1 0
5 1 1
4 2 5
5 4 4
5 2 1
10 3
3 1 2
0 2 4
4 2 4
1 3 0
2 2 1
4 4 4
4 3 0
3 1 4
3 2 2
2 1 4
10 5
0 1 3
0 0 1
3 3 3
3 2 3
2 1 3
2 3 0
2 2 3
0 0 2
0 3 0
1 3 3
10 5
1 5 2
3 4 2
5 0 1
2 3 3
0 2 1
1 0 3
1 0 2
3 4 5
1 5 0
1 3 4
10 2
1 2 3
1 1 0
2 2 0
0 1 0
2 2 3
1 0 3
3 2 1
0 1 1
1 2 1
1 2 2
10 4
1 3 5
2 1 5
0 2 4
0 5 5
4 4 4
4 5 5
3 5 4
4 0 5
0 3 2
2 4 4
10 4
1 1 1
1 1 2
1 2 0
0 0 0
0 2 0
0 2 2
0 0 2
2 1 1
2 2 1
2 0 1
10 3
1 2 2
2 1 1
1 2 0
1 1 0
1 1 1
0 1 1
2 2 1
2 1 0
1 2 1
2 0 0
10 5
1 5 3
2 1 2
1 3 2
4 2 4
2 3 0
3 0 4
4 5 4
2 3 1
4 3 5
4 1 5
10 4
2 0 0
0 0 2
2 0 1
2 2 2
0 1 1
2 1 0
2 3 1
1 2 1
0 3 2
1 0 0
10 7
0 1 2
3 4 3
4 3 0
1 2 2
0 2 3
1 0 3
1 1 4
4 3 1
0 4 3
1 4 2
10 5
0 3 4
0 0 3
0 4 0
4 2 1
2 3 3
4 3 1
4 4 3
2 1 0
1 3 2
4 2 4
10 3
2 5 1
4 5 5
2 4 4
2 3 3
1 0 2
0 1 5
5 0 5
5 4 3
0 1 3
2 5 5
10 5
0 0 3
2 2 0
2 2 2
3 0 3
3 2 3
3 0 1
1 1 0
0 2 1
3 1 1
1 3 0
10 9
1 0 0
2 3 1
1 1 2
1 0 2
1 2 1
0 1 3
2 0 2
0 0 0
3 1 1
0 3 2
10 4
2 3 3
2 4 1
2 1 5
0 1 2
0 0 2
4 4 3
4 0 4
2 4 5
0 5 3
0 2 0
10 8
3 0 2
2 1 2
1 2 0
3 2 1
1 0 0
1 3 1
2 3 3
3 3 0
1 3 0
3 3 3
10 8
1 3 3
0 2 1
0 1 2
1 2 0
1 2 1
0 3 3
3 1 3
1 1 2
2 0 0
2 3 1
10 4
3 4 4
3 2 0
4 3 2
2 2 0
2 2 3
4 0 2
2 3 3
1 4 0
1 2 2
1 0 0
10 2
5 3 1
1 4 4
0 2 1
4 1 2
2 1 5
2 2 0
1 1 2
5 1 5
1 0 1
3 1 2
10 6
3 1 0
1 1 2
2 2 3
1 3 1
0 3 3
1 1 3
2 2 0
2 3 0
1 3 3
3 1 1
10 9
1 1 0
1 0 4
3 1 2
3 3 4
1 2 0
1 0 3
2 2 4
0 0 0
4 3 2
4 2 3
10 8
1 2 2
3 3 3
3 2 4
3 1 0
3 0 1
5 3 4
5 0 0
0 1 3
4 2 2
5 5 4
10 4
1 3 5
3 0 2
2 0 1
4 2 4
5 5 3
0 3 4
0 2 5
1 0 0
0 5 5
3 5 5
10 6
0 0 0
0 2 1
2 0 0
1 2 2
1 2 0
1 0 0
0 2 0
1 0 2
1 0 1
2 1 1
10 8
1 2 5
4 0 2
1 2 4
4 0 0
1 1 1
0 2 3
5 3 5
3 5 2
5 2 3
4 0 3
10 4
1 0 1
2 1 1
0 0 2
2 0 0
1 0 2
0 2 1
2 1 0
1 2 0
2 0 2
2 2 2
10 8
1 3 3
2 1 2
0 1 2
1 3 1
0 1 0
3 1 0
2 2 1
0 3 3
1 2 2
2 3 3
10 7
4 0 2
2 4 4
3 2 2
2 5 0
1 3 5
3 1 4
3 4 2
2 5 2
1 0 2
0 3 2
10 7
0 4 0
3 4 0
4 0 2
0 0 3
1 2 3
4 3 2
2 3 3
2 4 2
2 1 2
4 0 4
10 2
1 2 0
3 2 0
0 3 0
3 2 4
4 3 4
2 4 0
4 1 1
0 4 4
3 0 4
3 4 4
10 2
0 1 1
3 1 2
3 1 4
3 0 0
4 3 3
0 3 2
1 2 4
3 1 1
1 2 2
0 2 2
10 6
0 2 3
1 0 1
0 2 1
5 1 3
2 4 0
1 1 0
2 0 5
3 2 2
0 3 1
0 2 5
10 8
0 0 0
1 0 1
1 2 0
0 0 2
0 0 1
2 1 2
1 1 1
2 2 2
0 2 2
0 1 0
10 5
4 1 5
0 1 5
1 0 2
5 2 1
2 0 5
3 3 1
2 1 1
1 2 2
0 3 2
3 1 2
10 5
2 2 4
0 4 3
3 3 3
3 0 1
0 1 2
4 2 2
4 4 1
2 1 0
0 2 1
2 2 0
10 8
3 1 3
0 2 4
3 4 0
3 2 3
1 0 4
1 3 1
3 3 0
2 3 0
3 4 3
0 2 2
10 2
2 0 0
3 3 2
1 3 1
1 0 1
3 0 3
0 3 3
3 0 2
2 3 1
2 3 3
0 0 0
10 6
3 2 1
3 1 0
0 3 1
0 0 0
1 1 1
0 2 2
2 1 1
3 2 2
2 1 2
2 1 3
10 4
2 2 0
3 4 2
2 3 5
4 0 2
3 1 1
2 5 4
3 1 4
4 0 0
1 2 5
1 3 0
10 6
2 2 1
2 4 3
1 2 2
4 0 2
4 1 3
0 4 2
2 0 0
0 0 3
1 3 0
0 0 0
10 2
2 2 0
2 2 1
1 1 0
0 1 0
1 2 0
2 1 1
0 2 2
2 1 2
0 0 2
2 1 0
10 2
2 1 0
1 1 1
1 1 2
0 2 0
2 2 1
0 0 2
2 1 2
1 2 1
1 0 2
1 1 0
10 3
5 3 1
0 3 2
1 5 5
1 3 0
0 4 5
2 4 4
0 4 1
4 3 4
3 3 4
5 1 3
10 4
0 3 0
3 0 0
0 2 2
1 2 4
0 3 1
2 0 2
2 1 1
3 2 2
4 0 0
4 2 0
10 3
1 2 3
3 2 0
0 0 0
0 1 2
3 0 0
0 1 0
1 0 3
2 1 2
3 3 3
2 2 1
10 6
3 4 4
0 4 2
3 3 4
2 2 2
4 0 3
0 3 3
3 2 3
3 0 1
2 4 2
1 4 4
10 9
0 1 0
1 0 1
1 1 0
1 2 2
2 2 1
0 2 2
0 2 1
2 1 2
0 0 0
0 1 2
10 3
4 3 3
1 1 0
0 1 4
3 3 2
2 2 2
3 0 0
4 2 4
3 3 0
0 4 3
4 0 0
10 8
0 1 0
2 1 1
1 2 2
0 2 0
2 0 1
1 0 1
2 2 0
1 2 1
1 0 2
2 0 2
10 8
1 1 0
0 0 0
2 2 2
2 0 2
1 0 0
1 2 1
2 1 1
2 0 1
1 0 2
0 2 1
10 3
0 2 2
3 2 3
0 0 3
2 0 2
0 1 3
1 3 3
1 0 2
0 3 2
2 0 0
2 3 2
10 4
4 1 4
4 4 3
2 3 0
4 4 0
4 2 4
4 0 0
3 1 0
3 0 1
1 0 2
2 4 3
10 8
2 4 4
3 4 4
2 3 1
2 2 4
1 2 4
1 3 4
0 0 1
4 4 1
1 1 2
1 3 1
10 4
2 2 0
0 0 0
1 0 1
1 1 2
1 1 0
0 0 2
0 0 1
0 2 1
1 2 0
2 2 2
10 2
0 3 1
3 3 3
2 4 2
4 1 3
1 2 1
4 0 1
2 0 4
3 2 0
0 2 2
3 1 0
10 7
2 0 0
0 2 0
1 1 2
0 1 2
2 2 1
2 2 2
0 1 1
1 0 0
0 0 1
0 0 2
10 3
2 1 1
1 0 2
2 2 2
2 0 2
0 0 0
0 2 2
1 0 1
2 0 0
2 1 2
0 2 0
10 3
3 0 3
0 0 2
3 1 1
1 1 2
0 2 3
3 2 3
1 3 1
3 2 1
3 3 1
2 1 2
10 7
0 0 1
2 0 2
1 1 1
0 1 0
2 2 0
1 2 2
0 2 2
2 1 2
0 1 2
0 0 2
10 8
2 0 4
4 4 4
1 3 3
4 2 1
0 0 1
3 2 0
3 3 2
0 2 3
2 0 1
4 4 2
10 3
1 4 0
0 3 0
2 2 2
1 1 0
2 4 1
0 1 0
2 0 4
4 3 4
1 3 4
1 4 1
10 4
2 1 3
0 5 4
3 4 4
2 2 2
0 2 2
5 5 2
5 3 1
0 1 5
1 2 0
0 5 3
10 3
0 3 2
2 1 3
3 3 0
2 2 0
2 3 1
2 2 3
2 3 3
1 0 2
0 0 1
0 2 0
10 7
1 1 3
2 0 1
3 0 2
1 2 1
3 2 0
0 2 2
2 2 3
3 3 1
0 2 3
2 1 1
10 9
1 2 2
4 0 3
4 1 1
3 3 4
4 3 0
1 0 2
3 3 1
2 0 3
3 3 3
2 0 2
10 6
1 1 1
2 2 0
2 0 0
0 2 0
1 2 1
1 0 0
2 0 2
1 2 2
0 1 1
0 0 1
10 4
2 1 1
2 2 0
2 0 2
2 0 0
1 0 2
2 2 2
2 1 0
0 1 2
0 0 2
1 0 0
10 4
2 1 2
1 1 1
1 0 1
0 0 2
0 1 1
0 0 0
0 1 0
2 0 0
0 2 0
1 0 0
10 4
3 1 3
2 2 4
4 2 0
3 4 1
4 4 0
2 0 4
4 2 2
1 0 1
2 1 2
2 4 3
10 7
1 2 2
2 0 2
2 5 5
5 5 2
2 0 3
0 0 4
3 1 2
4 5 5
5 4 0
2 4 5
10 8
2 2 1
3 1 2
0 2 1
4 4 0
0 2 3
0 4 1
4 4 4
2 4 1
1 4 2
1 1 4
10 7
4 4 4
3 2 4
0 1 0
4 3 0
1 1 3
0 4 4
2 2 4
0 4 1
2 0 3
3 0 2
10 2
3 2 4
0 2 2
3 3 1
2 2 3
4 2 4
0 1 1
1 3 0
2 0 1
3 4 2
3 0 2
10 2
4 3 5
2 3 0
5 1 4
2 2 3
2 4 4
0 1 1
4 4 2
5 4 1
1 3 0
0 1 3
10 4
3 3 1
2 1 0
0 1 0
2 4 1
4 0 0
2 2 4
3 2 1
1 3 1
2 1 4
0 1 4
10 8
3 2 0
2 2 2
0 3 1
1 0 3
2 3 3
2 1 2
2 0 3
0 1 3
1 2 2
0 1 0
10 2
1 4 0
2 5 0
2 3 3
3 0 1
1 1 1
4 2 0
0 4 2
3 4 4
5 0 2
5 2 5
10 6
3 1 0
0 2 0
1 1 1
0 2 3
0 0 1
1 1 0
2 2 1
3 3 1
2 3 2
3 1 2
10 4
0 0 0
2 0 1
0 1 0
0 0 2
0 2 0
1 2 1
1 1 1
1 0 0
2 2 1
2 1 0
10 2
2 3 0
3 3 3
2 1 0
0 3 0
0 1 2
0 1 3
0 1 0
2 2 2
2 0 0
1 3 2
10 9
0 4 4
0 3 3
0 1 4
3 2 2
1 3 3
3 4 3
4 4 0
1 2 3
2 4 0
4 4 1
10 3
0 0 3
1 1 3
2 2 1
0 3 2
3 3 0
0 2 3
2 0 2
1 3 0
3 1 2
1 2 2
10 9
2 0 2
0 1 0
2 2 2
1 0 0
0 2 0
1 0 1
2 1 2
0 0 2
1 1 0
2 1 0
10 2
2 5 0
1 4 0
4 5 1
1 5 3
4 0 2
3 5 5
1 0 0
0 4 2
1 2 0
4 4 5
10 8
1 1 0
0 1 1
0 0 1
0 0 2
1 0 0
1 2 0
2 0 2
1 1 1
2 2 1
2 2 2
10 5
0 0 0
1 1 0
2 1 2
0 0 2
2 2 1
1 0 0
0 2 0
0 0 1
0 1 1
1 1 1
10 2
1 2 2
1 1 0
2 4 1
4 2 1
1 3 3
3 2 2
2 0 1
0 4 2
4 4 0
4 0 1
10 4
2 1 4
4 2 4
2 3 2
5 4 3
0 5 2
1 5 4
3 2 5
5 5 4
4 3 1
3 1 4
10 5
2 0 1
0 0 2
0 2 0
1 1 1
0 1 0
2 1 2
0 2 2
1 2 0
0 1 1
1 2 2
10 9
0 1 1
3 0 1
1 4 0
3 1 2
0 3 2
3 3 0
2 1 4
0 4 1
3 4 4
2 3 4
10 2
3 0 0
2 2 0
4 2 0
2 3 0
3 3 0
1 0 4
0 3 0
3 4 4
1 3 0
4 1 0
10 8
1 1 0
0 3 0
0 3 1
1 1 1
1 2 0
1 1 3
2 3 2
1 0 3
3 1 0
1 1 2
10 4
2 2 2
0 0 1
0 2 1
1 2 2
0 1 0
0 0 0
1 1 0
2 1 0
1 2 1
1 1 2
10 2
2 2 2
2 0 0
4 2 3
2 3 4
2 5 2
3 4 3
3 5 0
1 0 1
5 4 0
4 5 4
10 4
0 1 2
0 2 0
2 3 0
2 2 1
1 2 3
3 3 3
0 3 2
1 1 2
1 2 2
0 3 1
10 8
1 2 2
1 0 2
2 2 0
0 2 2
2 0 0
1 2 0
1 2 1
0 1 2
0 0 2
0 2 0
10 2
4 3 2
5 1 2
5 3 4
1 1 1
4 3 4
4 1 2
2 2 4
1 4 3
3 5 1
2 5 2
10 2
1 1 1
1 2 1
0 2 2
1 2 0
2 1 2
2 0 1
0 1 0
0 2 0
2 2 2
1 1 0
10 9
0 1 2
2 2 2
0 1 0
2 1 2
1 1 0
1 2 1
2 0 0
0 2 2
2 2 0
1 1 2
10 4
0 0 5
0 1 5
3 2 2
2 1 5
3 0 1
4 5 1
2 5 2
5 2 3
0 1 4
3 5 2
10 2
2 0 4
0 2 4
4 4 2
2 0 1
3 3 4
3 5 1
3 0 1
4 2 3
2 1 2
1 0 4
10 8
4 3 5
5 4 5
0 3 3
2 0 5
1 4 1
1 0 1
0 3 2
3 1 2
3 3 0
2 2 0
10 5
2 2 1
1 1 1
0 2 0
2 0 1
0 0 0
1 2 0
2 2 2
1 0 1
2 0 2
0 0 1
10 3
1 0 3
1 2 1
3 1 0
0 2 0
0 0 3
3 1 2
3 3 3
1 1 0
2 2 1
2 2 3
10 4
5 5 3
0 4 3
5 4 0
0 5 3
5 3 2
1 5 0
4 0 0
3 2 1
2 4 0
0 0 5
10 4
2 5 4
5 3 0
5 5 3
0 5 5
5 3 3
5 2 4
1 5 1
3 3 2
5 2 1
3 4 5
10 2
1 0 0
2 4 2
3 3 0
1 4 1
2 2 0
3 3 3
0 2 4
4 0 3
0 3 1
2 3 1
10 4
1 2 0
0 1 1
0 0 1
3 1 0
1 1 0
1 3 1
2 3 3
3 2 2
0 2 0
0 2 3
10 7
4 0 1
2 1 1
1 0 0
2 3 4
2 3 2
4 4 5
4 3 4
4 4 2
3 5 0
0 1 2
10 3
0 1 2
1 1 1
2 2 1
2 2 0
2 2 2
2 0 2
0 2 0
1 2 2
1 2 1
2 0 1
10 2
0 0 3
3 1 2
3 1 1
2 0 0
1 2 0
1 3 1
1 1 2
0 2 0
3 1 0
2 2 1
10 2
1 0 1
1 1 2
1 2 1
1 2 0
1 2 2
2 2 2
1 0 0
2 0 0
0 1 1
0 1 2
10 7
2 2 0
2 0 1
1 1 2
0 2 0
0 1 2
0 0 1
1 1 0
1 2 1
2 1 1
0 2 2
10 8
2 3 0
3 0 2
2 1 2
2 3 3
2 1 1
0 3 1
3 1 1
1 3 3
0 2 1
1 2 0
10 6
2 4 5
5 4 3
5 0 4
4 0 2
4 2 1
4 2 2
5 3 5
5 5 2
3 5 3
0 5 3
10 4
0 4 1
5 3 2
0 0 2
0 1 1
4 0 4
0 0 5
1 2 0
5 3 5
3 4 4
3 2 2
10 8
1 1 4
1 2 1
2 3 1
2 0 1
4 2 1
2 0 3
1 4 0
2 0 2
3 1 4
1 1 2
10 7
0 2 2
3 3 2
2 1 2
0 1 2
1 1 3
1 3 1
3 1 0
1 0 3
0 3 2
0 1 3
10 7
0 0 2
1 0 1
0 2 2
1 3 1
3 0 0
2 2 3
3 2 2
1 2 2
2 3 1
1 0 2
10 5
3 3 1
3 5 2
0 0 3
2 1 4
0 0 1
4 4 3
0 5 2
5 5 4
2 4 4
2 0 0
10 7
1 3 0
0 2 1
2 3 0
1 1 3
2 3 2
3 3 0
0 0 0
0 2 2
3 2 3
2 2 1
10 9
2 2 0
0 2 0
1 1 2
1 1 1
2 1 0
2 1 2
1 0 1
0 2 1
2 0 1
0 0 0
10 5
0 2 0
3 2 0
3 2 3
0 0 2
3 2 2
3 2 1
1 2 1
2 0 2
3 1 2
2 0 3
10 3
4 0 3
1 3 2
4 1 1
3 4 1
3 3 0
4 4 0
4 1 0
1 2 0
3 3 1
3 1 1
10 8
2 4 1
0 2 3
0 1 4
1 0 4
3 3 4
5 2 4
1 4 4
3 0 1
0 4 3
5 5 2
10 3
0 2 0
3 1 3
1 0 2
2 0 0
0 2 2
0 3 0
2 1 1
3 0 3
1 0 0
2 0 3
10 8
0 2 2
1 0 0
2 1 1
0 2 0
0 1 0
2 1 0
0 1 2
0 1 1
1 2 2
0 0 1
10 7
1 2 0
1 0 0
0 2 1
0 0 2
0 2 0
2 1 0
0 2 2
1 0 1
0 1 0
2 0 2
10 6
2 0 1
1 3 1
1 1 1
3 1 2
2 3 1
0 0 3
1 0 0
0 3 3
2 1 3
3 2 1
10 2
0 0 1
0 1 0
2 0 1
0 1 2
1 1 1
0 0 2
0 2 1
0 1 1
1 1 0
2 1 1
10 2
1 2 1
2 1 3
0 1 3
3 3 4
5 3 5
0 1 0
0 3 3
2 1 1
4 0 4
0 4 3
10 4
2 1 0
2 0 0
0 2 0
1 1 1
0 2 2
1 2 1
2 0 1
1 1 0
2 2 1
1 0 0
10 2
2 1 2
1 0 0
1 0 1
3 3 1
1 5 2
2 0 4
2 2 0
0 2 2
4 0 3
2 2 5
10 4
3 0 4
4 5 3
4 3 4
3 2 1
3 4 4
5 0 3
0 5 3
3 4 2
5 1 0
0 2 4
10 9
0 0 3
2 0 3
4 5 0
5 0 3
1 2 1
4 2 2
1 3 1
5 1 4
1 2 3
3 0 3
10 2
2 0 1
1 1 1
3 2 1
0 3 0
3 2 3
2 3 0
0 3 1
0 1 1
3 3 0
2 3 2
10 4
0 2 0
2 0 1
0 1 0
1 2 1
1 2 0
2 0 2
2 2 0
2 1 0
0 1 2
1 0 1
10 5
2 3 1
3 3 4
2 1 0
1 2 4
0 4 3
4 1 1
2 2 2
4 4 2
1 4 4
2 2 3
10 7
1 0 1
0 0 1
1 0 3
0 1 0
0 3 0
3 0 1
1 1 1
0 0 0
0 3 1
3 2 1
10 2
5 2 3
2 3 1
1 1 0
0 3 1
0 4 2
5 0 3
4 2 0
0 5 0
5 2 4
4 3 3
10 5
2 0 3
0 1 5
5 1 2
1 3 2
1 2 4
3 0 4
5 5 0
2 0 1
4 2 1
0 2 4
10 8
3 2 4
3 4 1
5 3 1
0 5 2
1 5 4
1 4 5
2 1 2
5 1 4
3 2 5
4 3 3
10 8
4 0 2
0 4 2
3 3 2
3 2 3
2 4 4
4 0 3
3 4 2
1 3 1
3 4 0
0 4 0
10 4
1 0 0
1 0 3
3 0 1
0 1 0
0 2 0
0 2 4
3 2 4
3 3 2
4 1 2
2 1 0
10 5
1 2 1
3 3 0
0 1 0
0 2 1
1 0 1
3 2 1
0 0 3
3 3 1
3 0 3
3 3 3
10 6
0 0 1
3 1 3
3 0 0
1 3 1
1 2 2
2 3 1
3 0 3
2 3 3
3 1 0
2 0 2
10 4
2 2 1
1 1 0
0 2 1
1 2 2
0 1 0
1 2 0
2 0 1
2 2 0
1 0 2
0 1 2
10 5
2 1 2
2 3 5
0 2 4
4 3 1
4 4 1
2 5 0
3 3 4
5 4 1
4 4 3
3 2 2
10 5
2 1 2
3 0 1
1 1 3
3 1 2
0 3 3
3 1 0
2 2 2
3 3 2
2 1 0
2 0 3
10 7
2 1 2
1 0 1
2 2 2
0 1 0
1 0 0
2 1 0
2 2 0
1 1 1
1 2 0
0 0 0
10 6
0 2 5
5 2 2
2 5 4
0 5 0
4 2 1
2 1 0
1 1 5
2 1 3
4 5 5
1 5 3
10 7
1 4 4
0 4 3
3 1 3
4 3 3
1 4 3
0 3 0
1 1 4
0 0 4
1 3 4
2 0 2
10 9
0 1 3
3 4 4
3 3 0
2 3 0
4 2 3
2 3 3
3 0 2
1 1 3
4 2 2
3 0 0
10 6
3 3 4
4 2 0
3 2 3
2 1 2
3 1 1
3 4 1
1 1 4
2 4 0
0 3 1
1 1 1
10 2
0 1 3
2 0 2
1 2 2
1 3 0
0 2 1
1 3 2
2 0 1
3 0 2
3 1 0
2 3 3
10 9
0 1 0
2 2 1
3 2 0
2 3 1
1 3 0
1 1 2
1 0 3
3 1 0
1 0 2
1 2 3
10 3
4 0 3
1 3 4
1 2 0
3 0 4
3 0 1
0 0 1
2 0 4
4 2 0
0 1 0
4 2 1
10 2
0 1 4
5 2 1
2 2 3
0 4 2
0 3 3
0 2 4
0 2 2
2 1 1
1 3 4
5 3 4
10 7
0 3 0
2 0 0
1 3 3
2 3 0
2 1 1
1 2 3
1 2 1
3 1 0
3 2 2
2 2 0
10 9
5 0 3
4 0 2
4 3 1
5 5 5
3 1 2
3 5 0
4 2 5
2 5 0
5 5 2
5 0 2
10 5
1 4 2
0 3 1
1 3 3
4 4 1
4 2 2
1 1 3
0 0 2
2 3 4
4 4 3
4 1 1
10 8
0 2 1
1 2 1
1 0 1
1 1 2
2 1 0
2 1 1
1 2 2
1 1 1
1 0 0
0 0 0
10 3
1 2 4
2 3 3
1 3 1
3 2 2
4 0 3
1 3 3
3 2 3
3 3 4
2 2 0
3 2 0
10 6
2 2 1
1 2 0
0 1 2
2 1 2
0 0 2
0 0 1
1 0 2
1 1 1
1 1 0
0 2 2
10 6
4 1 2
2 2 2
1 0 3
4 0 3
1 3 3
0 3 4
4 4 4
3 3 0
2 2 4
1 1 0
10 9
2 2 3
0 3 1
1 1 2
1 3 2
3 2 1
0 3 2
1 3 0
2 3 1
2 1 2
2 3 3
10 9
0 0 2
0 0 0
2 2 0
1 2 1
2 0 2
2 0 1
0 2 0
0 0 1
1 2 0
1 0 2
10 5
2 2 0
0 0 0
1 2 0
1 3 3
2 3 3
0 2 0
0 0 3
0 3 2
1 1 3
3 2 3
10 8
1 2 0
2 1 2
2 2 1
2 2 2
0 0 0
2 0 2
1 2 2
2 0 0
0 1 0
0 2 0
10 5
2 0 0
3 1 0
3 3 4
1 1 2
2 1 0
0 0 4
1 2 0
1 4 1
3 1 4
2 2 3
10 9
0 3 1
0 3 3
3 2 3
0 3 0
1 0 3
1 2 3
2 2 0
0 0 1
2 2 2
0 2 0
10 3
0 2 0
0 2 2
1 0 1
1 2 1
0 0 2
0 0 0
2 0 2
2 1 1
0 1 2
0 0 1
10 5
1 2 1
3 1 3
1 3 1
1 2 0
1 2 3
0 1 3
2 2 3
2 0 2
1 0 3
2 3 1
10 6
3 1 3
1 1 2
4 2 4
2 3 2
3 1 0
2 2 4
3 2 1
1 4 0
1 4 1
0 0 3
10 4
4 4 5
0 3 3
3 4 3
5 1 2
4 3 1
5 2 0
4 2 0
3 4 0
5 3 0
0 2 4
10 4
1 2 2
0 3 1
0 0 4
0 3 3
3 3 1
4 4 1
2 3 4
4 4 0
1 2 3
0 4 4
10 9
2 1 1
0 1 3
2 0 2
2 0 1
0 2 3
3 2 3
0 0 0
1 1 1
1 0 2
0 2 0
10 4
3 4 1
2 2 2
3 1 4
0 2 4
1 1 0
3 1 0
0 0 4
3 0 2
2 0 0
2 2 1
10 7
0 1 1
3 2 1
2 1 4
3 1 4
1 1 4
2 1 3
4 2 1
0 2 2
0 3 0
4 3 2
10 6
2 2 0
2 1 0
0 1 0
1 0 1
1 1 0
2 1 1
0 0 1
2 0 2
0 2 0
1 0 2
10 5
1 0 2
0 0 1
2 0 0
0 2 0
1 1 1
0 1 2
2 1 1
1 2 0
2 1 0
2 2 2
10 3
2 3 2
0 0 1
3 1 3
2 3 1
0 0 2
0 0 0
1 3 1
2 1 0
3 1 0
3 0 3
10 7
3 0 4
3 5 0
3 3 3
0 3 5
3 2 4
2 2 4
3 1 1
5 1 0
0 4 3
4 2 3
10 6
3 1 2
1 5 2
4 0 5
1 5 0
3 0 0
3 5 4
3 2 3
1 3 1
2 4 1
4 3 5
10 7
3 1 0
0 1 3
3 2 0
0 1 0
2 1 2
1 1 0
2 0 1
2 2 0
2 1 1
2 2 1
10 3
3 3 0
0 3 0
0 1 0
2 3 3
1 1 2
3 1 2
3 0 2
2 2 3
0 2 3
2 2 2
10 2
0 5 2
4 4 0
2 1 4
3 2 0
3 2 1
2 2 3
5 0 4
3 2 2
4 0 4
4 2 2
10 4
3 0 4
0 3 0
4 1 2
0 3 1
3 0 0
4 1 4
3 3 0
4 0 2
1 2 2
3 1 1
10 6
1 2 1
3 0 3
1 4 3
1 3 0
2 2 4
0 4 2
2 3 4
0 3 1
0 0 2
1 2 3
10 7
0 0 4
3 0 3
0 4 4
2 1 2
0 1 1
4 3 2
4 0 4
0 1 0
0 2 2
2 0 0
10 9
2 0 1
1 1 0
0 2 0
1 0 2
1 2 0
2 1 1
0 1 0
1 0 1
2 2 1
1 2 1
10 4
1 2 0
2 3 1
3 1 5
5 1 3
5 1 5
1 3 2
5 5 3
2 3 4
5 4 4
4 3 1
10 9
2 3 3
1 2 0
0 1 0
2 0 1
0 1 1
1 3 1
3 0 1
3 0 0
3 1 0
1 2 2
10 5
3 1 0
2 1 3
2 2 0
3 2 3
0 0 2
3 1 1
2 0 3
0 1 2
2 1 2
0 3 3
10 9
2 3 5
1 3 0
2 0 0
0 4 3
2 3 2
4 1 5
3 3 4
5 2 0
3 5 4
2 1 4
10 6
2 4 0
5 1 3
3 4 1
5 4 1
5 4 2
4 3 1
5 4 3
0 3 1
1 0 4
1 0 5
10 7
3 0 2
1 1 1
1 0 2
2 0 3
1 2 2
1 3 2
2 2 3
2 3 3
3 3 2
1 0 3
10 6
3 0 3
3 4 2
2 2 2
3 1 0
3 4 0
1 2 3
1 0 4
4 3 2
4 2 2
2 0 4
10 7
1 0 0
2 1 0
2 2 0
0 0 0
1 2 2
1 2 1
0 1 1
0 2 2
2 2 1
2 0 0
10 6
0 0 1
0 1 1
1 1 1
2 0 2
1 1 0
0 2 2
0 2 0
2 0 0
2 2 0
2 0 1
10 6
1 5 0
2 5 3
2 2 0
0 3 0
3 4 2
4 5 1
1 4 2
3 4 5
2 3 4
0 1 4
10 4
5 4 2
3 2 4
5 4 0
2 1 0
3 3 0
2 0 0
1 2 5
5 0 4
2 3 2
5 3 1
10 4
2 1 1
0 0 1
0 2 2
1 0 2
1 0 0
1 2 1
1 1 0
2 2 0
1 0 1
1 2 0
10 9
1 0 0
0 0 1
1 2 3
2 3 1
0 3 2
2 3 2
1 1 2
3 0 2
1 0 2
2 3 0
10 4
0 4 0
2 1 0
4 3 2
3 4 2
3 0 3
2 0 3
1 1 3
3 2 1
4 1 2
4 3 4
10 7
4 2 2
5 4 5
2 0 4
0 2 4
5 2 3
5 5 5
2 1 4
4 0 4
2 5 2
2 4 0
10 7
2 0 1
2 2 2
0 1 2
1 1 1
0 2 1
0 1 1
1 0 1
0 0 0
1 0 0
1 2 1
10 9
0 4 2
3 1 4
0 3 1
3 2 0
3 2 3
2 1 4
1 1 1
2 1 3
2 0 1
3 3 3
10 5
1 5 5
0 0 1
5 3 3
4 0 2
1 4 3
2 4 0
3 1 1
1 4 0
3 4 3
4 1 4
10 5
3 0 2
2 2 2
1 3 1
2 0 3
2 1 2
3 0 3
1 2 3
1 0 2
0 3 3
2 0 2
10 8
2 3 3
3 2 3
3 0 3
0 1 3
2 1 3
0 0 3
1 1 1
3 3 0
2 1 0
1 0 2
10 5
0 0 0
3 0 0
3 2 1
0 2 0
1 2 2
0 1 1
2 2 3
2 3 3
0 2 2
1 2 0
10 6
2 3 3
0 1 3
3 3 3
0 0 0
2 0 3
1 0 3
3 3 1
0 1 2
1 3 3
2 1 2
10 4
0 3 2
1 2 2
3 0 0
1 0 2
2 1 1
1 0 0
2 1 0
3 3 2
3 0 1
2 0 0
10 3
3 3 1
0 3 3
2 0 0
3 3 0
3 2 1
1 3 0
2 3 0
1 2 3
0 3 0
0 2 1
10 5
3 0 3
4 3 4
1 4 1
1 0 1
3 0 2
1 0 4
4 1 4
1 2 0
1 4 3
0 1 0
10 6
1 1 0
0 1 4
4 3 4
1 0 3
1 3 4
4 1 3
3 4 0
3 4 2
0 2 1
0 3 0
10 9
4 1 1
4 3 2
3 2 0
4 3 4
2 2 4
4 2 1
1 4 0
3 4 4
0 0 1
4 2 0
10 5
0 2 1
0 2 2
2 0 1
3 0 3
1 3 1
2 3 0
1 3 0
3 1 0
2 0 3
2 3 2
10 6
3 2 2
1 0 3
4 1 2
4 1 3
3 4 2
4 4 2
2 2 3
0 2 2
0 0 0
2 0 3
10 4
2 3 1
3 4 1
1 2 1
5 3 0
5 5 3
0 1 2
2 1 1
0 3 1
4 1 2
1 4 5
10 6
5 4 1
4 1 4
2 0 1
1 5 4
1 5 3
4 3 1
1 4 0
0 5 2
4 2 3
1 2 5
10 3
5 1 1
4 1 3
2 5 0
4 1 2
4 5 3
3 0 3
1 0 5
0 4 2
2 3 3
0 0 1
10 2
2 0 3
2 2 3
3 3 3
0 1 0
0 1 3
1 0 0
2 2 1
0 3 1
0 2 1
2 2 0
10 3
2 4 0
3 1 1
2 4 1
3 3 0
1 1 2
0 4 1
2 0 3
2 0 0
4 2 3
0 0 4
10 4
2 1 3
3 2 3
3 3 3
3 0 0
2 3 0
0 2 3
3 1 0
1 3 2
0 2 1
1 3 0
10 9
2 1 1
1 2 0
1 0 2
2 2 2
1 1 0
2 1 0
2 1 2
2 0 0
1 2 1
0 0 1
10 9
1 0 3
3 1 3
3 0 4
5 4 0
4 5 4
2 5 1
2 5 2
3 0 2
0 5 1
4 1 3
10 6
0 4 3
4 2 4
0 2 2
4 1 4
1 1 4
3 2 2
4 0 4
2 3 1
3 2 3
1 3 4
10 4
2 0 2
1 4 2
0 1 0
2 3 5
0 3 1
1 1 4
5 3 4
4 2 0
3 3 0
0 2 2
10 9
3 1 0
2 0 0
1 3 1
2 0 2
0 3 0
1 1 0
0 1 0
2 3 0
3 3 2
0 0 3
10 4
2 2 1
3 2 0
2 2 2
3 2 3
3 1 2
2 0 2
0 3 2
2 3 0
3 2 1
0 1 3
10 9
0 0 5
1 4 2
1 1 5
0 5 3
3 4 0
4 5 3
0 1 5
3 5 5
5 0 0
4 1 3
10 8
0 2 4
1 1 0
3 3 0
1 4 0
0 4 0
4 4 4
0 3 3
0 4 4
4 4 3
2 4 1
10 2
2 1 1
3 2 3
3 2 0
1 1 0
1 2 1
2 2 0
0 2 3
2 3 3
2 0 0
3 0 2
10 7
1 0 3
0 0 3
0 1 0
3 0 2
0 3 3
1 0 0
1 1 0
3 2 3
2 0 0
2 3 0
10 6
0 0 1
1 3 2
3 5 0
5 0 2
2 5 4
1 2 5
3 2 1
3 5 5
0 2 0
2 5 5
10 6
2 2 3
0 4 4
2 2 2
4 4 0
3 3 2
3 4 2
4 0 4
1 3 2
0 4 1
3 0 0
10 3
1 3 2
1 3 0
0 2 1
1 1 3
0 0 1
3 0 0
2 0 3
2 3 1
2 2 3
2 1 1
10 3
2 1 4
3 3 1
3 2 1
4 2 1
0 4 5
0 2 0
4 1 2
1 5 1
0 3 4
0 1 5
10 9
2 0 1
3 0 3
3 1 1
0 3 3
0 0 2
3 2 2
3 3 0
1 0 3
1 1 3
0 2 3
10 7
5 2 1
2 1 3
4 4 1
4 1 5
4 1 0
4 4 0
3 5 4
3 4 1
0 4 5
4 2 0
10 9
1 0 2
4 2 3
0 5 2
2 0 2
1 3 4
2 1 0
4 2 2
1 4 4
4 5 4
5 0 0
10 6
4 0 4
1 2 4
3 2 3
1 0 2
5 3 0
1 3 4
2 2 1
4 3 1
3 2 2
3 4 1
10 4
2 2 2
0 3 3
0 2 3
3 1 2
0 0 0
0 3 2
2 3 2
2 3 3
3 0 0
3 1 1
10 9
1 2 2
1 0 0
2 2 1
2 0 0
0 1 0
2 1 0
0 2 1
1 2 1
0 2 2
2 2 0
10 7
1 0 0
4 4 3
0 0 2
0 4 1
4 1 4
0 3 2
0 3 3
2 5 3
3 2 3
0 1 2
10 2
0 2 4
2 2 0
1 4 5
0 5 4
1 2 2
2 3 4
1 0 5
1 2 4
1 1 4
0 4 2
10 4
1 0 0
1 2 0
2 1 1
2 0 1
2 2 2
1 2 1
1 0 1
2 0 2
2 2 1
2 1 2
10 7
1 0 0
3 2 2
0 0 1
2 1 4
3 0 4
1 0 3
1 0 2
2 0 4
3 3 4
2 3 0
10 3
3 0 0
2 1 3
1 0 2
2 0 0
2 1 2
3 3 0
1 2 3
1 3 0
0 1 3
3 2 2
10 5
2 3 2
3 4 2
3 2 1
2 0 4
5 5 1
2 4 1
4 4 3
3 3 0
4 3 4
5 1 2
10 4
3 3 0
1 3 1
0 0 3
3 1 0
0 3 0
0 0 0
1 0 2
2 2 3
3 2 0
0 2 0
10 3
0 2 0
0 0 0
1 2 0
1 1 1
1 1 0
1 0 0
2 1 1
0 1 0
2 0 2
0 2 1
10 9
0 0 1
0 1 3
2 1 3
0 2 0
1 2 1
3 1 2
0 0 2
1 1 2
3 0 3
1 3 1
10 8
0 0 2
2 2 1
2 0 2
2 5 4
5 5 4
1 4 3
2 5 2
4 5 0
0 5 4
5 3 3
10 2
0 3 1
3 3 2
2 0 1
0 2 1
1 1 0
3 2 0
0 0 2
0 2 0
2 2 2
0 2 3
10 5
2 0 2
0 2 2
2 1 1
0 1 2
0 1 1
1 0 1
0 0 1
0 0 0
0 2 1
2 0 0
10 5
2 2 1
1 2 0
0 2 2
1 0 0
2 1 2
1 1 2
2 0 0
2 2 0
0 1 0
1 0 1
10 9
4 4 3
3 2 2
5 0 0
5 3 5
0 2 1
5 0 5
1 1 1
3 0 0
2 3 2
1 2 4
10 3
0 4 0
3 3 4
3 2 2
2 0 4
4 0 0
3 4 0
1 0 3
4 0 2
2 1 1
3 0 0
10 5
1 2 1
2 1 0
0 0 2
0 1 2
0 1 1
2 1 1
2 2 0
0 2 0
1 1 1
2 2 1
10 5
1 0 1
2 5 5
3 3 5
1 2 2
2 1 3
2 1 4
3 3 0
4 5 4
3 5 2
1 3 4
10 3
3 0 0
4 0 1
4 4 1
5 5 5
4 0 4
1 5 3
0 3 5
0 2 4
4 5 2
0 3 4
10 3
4 1 3
4 2 3
4 1 4
1 2 1
1 1 2
1 1 4
3 1 0
0 3 2
3 1 1
0 0 3
10 6
1 4 5
4 3 0
5 1 2
4 0 5
5 4 1
3 5 1
5 2 5
5 1 5
5 2 0
5 4 5
10 5
1 2 1
2 1 1
2 2 2
2 0 2
2 1 0
0 0 2
1 0 0
2 1 2
0 2 2
2 0 0
10 8
2 2 0
1 0 2
2 1 1
2 2 2
0 1 2
1 2 1
1 0 0
0 2 0
1 1 2
1 0 1
10 4
3 0 4
1 0 4
3 2 1
5 1 0
3 4 3
2 4 1
1 0 5
5 4 4
4 0 0
2 2 1
10 6
0 3 0
3 3 2
1 3 2
2 3 0
2 0 3
3 0 3
2 1 3
1 1 1
3 0 2
3 3 3
10 9
1 4 1
3 3 4
3 0 2
3 0 1
2 5 1
5 4 3
5 5 1
5 4 4
3 5 3
1 4 2
10 3
0 3 3
1 0 4
0 0 4
1 3 5
3 2 2
1 5 1
4 4 0
4 2 5
4 4 4
4 1 0
10 9
0 3 0
1 3 3
0 2 3
1 0 0
3 2 2
3 1 1
1 2 0
0 3 1
3 0 2
0 0 3
10 3
3 4 1
4 4 1
3 3 1
1 0 3
2 4 4
2 1 1
0 2 1
4 1 3
0 4 4
4 4 0
10 3
3 5 3
0 3 4
2 4 2
0 5 0
3 3 3
4 0 2
1 0 1
0 0 2
0 4 2
4 5 5
10 8
1 1 1
3 3 2
3 1 3
3 2 2
2 0 1
2 2 0
4 3 3
0 4 3
1 4 1
2 4 1
10 7
1 1 2
2 2 0
0 1 1
2 0 0
1 0 1
0 1 0
0 2 0
2 1 0
1 1 0
2 0 1
10 9
1 3 2
2 4 1
1 2 0
1 0 3
3 1 2
0 3 3
0 2 2
1 2 1
2 0 1
2 3 3
10 2
1 4 3
1 4 4
4 3 4
0 4 4
2 3 1
1 3 0
0 4 3
0 0 0
0 0 3
3 2 1
10 2
1 2 3
1 0 2
3 1 3
2 1 0
1 1 1
2 1 2
0 1 1
2 2 1
2 3 1
3 1 2
10 6
1 0 0
1 2 2
2 1 2
0 0 1
2 0 1
0 1 1
1 0 2
1 1 2
0 1 0
1 2 1
10 9
1 2 2
2 2 0
1 2 0
2 1 2
0 0 2
0 2 1
2 1 1
1 2 1
2 0 2
0 0 1
10 8
1 0 3
0 2 2
3 2 3
2 3 1
1 0 2
1 1 1
3 1 1
3 2 1
1 0 0
0 1 0
10 6
3 5 4
2 0 4
3 3 5
2 3 3
1 1 0
0 1 0
0 3 2
3 2 0
4 4 5
3 3 2
10 5
0 1 1
3 1 1
0 2 2
0 2 0
2 0 3
3 3 1
3 3 3
1 1 3
1 2 1
3 0 2
10 3
2 2 3
4 0 4
3 1 4
1 0 2
0 1 1
4 4 1
3 4 0
4 0 3
1 1 1
0 3 3
10 2
2 0 0
1 3 0
1 0 0
3 3 3
0 2 3
2 2 1
2 2 0
3 1 1
0 3 3
3 3 1
10 7
1 1 3
1 3 2
4 3 4
4 0 4
1 3 1
1 3 0
3 4 3
0 0 0
3 0 1
2 3 0
10 6
1 4 2
4 4 1
3 4 4
5 2 2
3 3 2
4 1 3
1 3 5
2 5 3
5 2 0
1 5 2
10 7
2 2 1
1 0 2
1 2 4
3 1 1
4 1 1
4 3 3
1 1 1
0 1 0
3 0 4
3 3 2
10 7
4 2 0
4 3 3
2 4 2
0 1 1
4 1 2
2 2 4
0 1 2
4 2 2
3 1 3
4 4 3
10 3
2 3 4
4 5 0
4 5 1
2 3 0
3 4 3
2 0 0
0 5 4
4 1 5
1 3 4
5 1 4
10 6
0 0 0
3 1 0
2 1 0
2 2 1
2 0 3
3 3 2
2 3 3
2 0 0
2 1 3
0 2 0
10 2
2 4 3
2 4 1
0 1 0
0 1 3
2 0 4
1 1 4
2 1 0
2 4 2
4 0 3
0 0 4
10 8
2 2 1
2 0 1
2 1 0
0 2 2
1 1 1
0 0 0
2 0 2
0 2 0
1 2 1
2 2 0
10 2
0 2 2
2 1 3
3 0 1
1 1 2
1 3 0
3 3 1
1 0 3
2 3 0
2 2 0
2 0 2
10 6
3 0 0
1 1 1
1 2 3
1 2 4
4 1 2
2 4 3
0 2 0
1 1 3
0 0 4
2 1 2
10 2
2 1 1
0 2 1
1 2 2
0 1 0
0 2 2
0 0 2
0 0 0
1 0 1
0 2 0
1 1 0
10 3
3 5 0
0 5 2
5 3 4
5 5 0
3 2 3
5 4 3
3 4 2
1 4 5
4 4 2
3 5 1
10 3
4 0 0
3 3 3
1 1 3
0 4 2
4 1 3
1 4 3
2 4 0
0 0 1
0 3 4
1 3 3
10 9
0 2 0
0 2 1
1 2 2
0 1 2
2 1 0
2 0 2
1 1 2
0 1 0
0 2 2
2 2 0
10 3
1 2 4
2 0 4
3 2 0
2 0 1
4 2 1
2 4 1
3 0 1
0 3 4
3 1 1
0 4 2
10 7
5 2 3
0 2 2
1 3 5
4 4 2
2 3 0
1 5 2
5 4 4
1 0 2
0 4 4
1 4 0
10 7
3 2 1
2 3 0
2 1 0
1 3 3
0 2 0
2 2 2
3 1 0
2 2 1
0 2 2
3 2 2
10 9
0 2 0
3 2 0
0 0 1
2 3 3
4 0 1
0 0 0
0 2 3
1 4 3
4 2 4
3 3 3
10 8
0 4 2
2 2 2
1 0 2
4 1 4
0 3 1
0 4 1
0 0 1
0 1 4
1 1 2
2 1 0
10 7
1 1 0
4 2 0
5 4 2
4 3 1
4 4 3
2 5 4
5 2 1
3 2 2
4 1 0
5 3 4
10 3
1 0 0
0 2 0
1 2 1
0 1 2
0 0 2
0 0 1
2 2 1
1 1 2
2 1 2
2 1 1
10 7
2 3 1
2 1 2
2 1 0
1 0 3
1 2 0
1 2 2
3 1 3
1 1 2
1 3 1
1 0 0
10 6
1 2 0
2 1 2
1 1 0
0 0 2
2 0 1
2 1 0
1 1 2
1 0 0
1 2 2
2 2 2
10 8
1 1 3
2 2 1
1 1 0
1 0 1
0 3 2
1 1 1
0 0 3
3 1 0
2 3 2
0 3 3
10 5
0 0 3
0 2 1
3 3 4
4 2 0
4 0 1
3 2 3
3 0 3
3 0 0
1 1 0
2 3 3
10 6
1 1 5
5 5 4
2 5 3
4 1 3
1 2 0
3 5 4
1 4 3
1 4 4
5 0 5
2 4 1
10 3
2 2 3
5 2 5
1 0 5
2 5 1
3 3 0
4 0 2
2 3 5
5 1 3
3 2 3
2 4 0
10 7
4 1 0
1 1 0
2 0 3
4 2 1
1 4 4
1 1 2
0 1 2
0 2 1
0 0 2
3 0 2
10 5
1 1 2
1 0 3
0 2 3
1 0 0
4 2 1
4 4 4
3 4 3
1 3 1
1 2 0
2 4 0
10 7
2 3 2
0 1 3
1 3 3
3 0 1
3 3 1
2 0 0
0 1 1
1 3 1
1 0 0
0 1 0
10 3
1 1 4
3 2 2
4 4 4
4 0 0
0 3 4
3 0 4
4 3 2
0 0 1
0 2 2
3 4 2
10 9
1 1 1
0 2 2
0 1 1
1 0 0
0 2 0
2 2 2
1 0 2
0 1 0
2 2 1
2 0 0
10 6
3 2 3
3 3 3
1 1 2
3 1 0
0 2 2
2 2 0
3 1 2
2 2 1
1 3 3
2 0 0
10 6
0 1 0
1 1 2
0 2 0
0 2 1
0 1 2
2 2 2
0 0 2
1 0 2
2 1 1
1 2 1
10 9
3 2 1
0 3 1
0 2 4
5 0 3
3 0 5
2 4 3
1 0 2
1 4 4
2 2 2
0 0 1
10 7
2 2 0
2 2 1
1 0 2
0 2 0
0 2 2
1 0 1
2 1 0
0 1 1
0 0 0
2 0 1
10 3
3 0 3
1 1 5
3 1 0
4 5 1
2 1 2
2 5 0
5 4 5
4 1 4
3 1 5
0 2 5
10 9
4 3 2
1 4 2
2 1 1
2 0 2
3 2 0
3 2 4
1 2 4
2 2 2
4 1 3
2 3 0
10 6
2 1 0
0 0 2
0 2 1
1 1 1
1 0 1
1 2 0
2 1 2
0 0 0
2 0 2
0 2 2
10 3
0 3 0
3 1 1
0 4 3
4 1 4
0 4 1
0 0 4
2 1 3
4 1 3
4 4 0
0 2 4
10 9
0 1 2
2 2 2
2 0 1
0 1 1
2 0 2
1 1 1
1 1 0
2 2 1
0 2 0
0 2 1
10 5
2 3 4
4 3 4
2 1 0
0 0 2
4 2 3
0 4 2
0 1 2
2 5 3
1 1 5
4 1 5
10 6
3 1 3
2 1 0
3 0 0
1 2 3
3 0 2
0 1 3
3 1 1
2 2 1
3 0 1
1 1 0
10 5
5 4 5
2 1 4
1 0 0
4 5 2
2 0 1
5 3 5
3 3 0
5 5 2
4 4 2
1 4 2
10 4
0 2 1
1 1 0
2 0 1
2 2 2
0 0 2
1 2 1
1 2 2
0 0 0
2 1 2
1 0 2
10 3
2 0 2
0 0 0
1 0 2
1 0 1
2 1 1
1 0 0
2 1 2
2 2 0
0 2 2
1 2 1
10 6
0 2 2
2 0 0
1 2 2
2 2 2
1 0 1
2 1 1
0 0 0
2 0 2
2 2 0
0 1 1
10 8
3 0 0
1 5 5
3 1 0
5 0 5
1 4 3
3 5 4
2 1 2
5 4 0
1 3 2
3 4 3
10 9
2 0 3
2 1 2
0 3 3
1 3 0
3 1 2
1 1 0
0 1 3
1 3 3
2 3 2
2 3 1
10 9
1 3 3
0 0 3
0 3 2
1 1 1
3 2 1
0 2 2
1 1 0
3 3 3
0 1 2
1 2 1
10 6
3 3 5
5 0 5
4 2 2
1 1 1
1 0 4
0 3 5
0 1 2
3 4 4
2 1 4
1 5 1
10 6
0 1 0
2 2 2
1 2 2
2 3 2
4 4 1
0 1 1
0 3 0
0 2 1
0 1 4
1 4 1
10 4
2 2 3
3 2 2
1 0 2
2 3 0
0 3 4
1 3 1
1 4 2
2 1 3
0 1 2
3 3 0
10 9
2 3 0
3 3 2
4 5 5
1 4 2
1 2 4
5 2 0
4 3 3
0 5 3
4 2 3
0 2 0
10 6
0 2 1
0 0 2
0 3 1
1 3 3
0 2 3
2 1 2
3 3 3
2 1 3
0 3 3
3 1 2
10 7
0 1 2
2 1 0
2 1 2
0 2 0
0 0 0
1 2 0
2 1 1
2 2 1
1 0 1
2 0 2
10 4
0 2 2
4 1 4
1 1 3
5 4 3
1 3 0
3 1 2
1 4 0
4 2 2
4 2 1
2 1 0
10 6
2 1 1
3 1 3
2 0 2
2 3 4
1 0 4
1 2 0
3 4 2
1 4 2
0 0 1
2 3 2
10 9
1 1 3
2 1 0
1 0 0
3 0 2
1 1 2
0 3 3
0 0 1
1 2 2
2 1 1
0 1 0
10 5
0 1 0
1 1 2
1 0 0
0 1 2
1 0 2
0 2 2
2 2 0
1 1 0
0 2 1
1 2 0
10 6
1 1 1
3 1 3
3 0 1
4 4 0
1 2 1
4 2 3
4 0 0
3 1 0
1 4 0
0 1 0
10 7
1 1 2
2 2 0
1 2 0
2 2 2
0 2 2
2 0 0
2 1 1
1 0 1
0 2 1
1 1 0
10 7
1 0 0
2 0 0
2 3 1
3 3 0
1 0 3
0 1 2
2 1 3
2 2 2
1 2 3
3 1 0
10 7
0 1 0
1 2 1
0 2 2
1 0 1
0 0 2
2 0 1
2 1 1
2 0 2
0 1 1
2 0 0
10 9
2 0 0
2 1 2
1 2 0
2 2 2
2 2 1
1 1 2
2 0 2
2 0 1
0 2 1
0 2 2
10 2
0 2 1
1 1 2
1 2 2
1 0 1
0 1 0
2 1 1
2 2 1
1 2 1
0 1 2
2 0 0
10 8
0 3 1
3 1 4
3 4 1
2 5 3
0 3 2
3 3 4
4 1 3
2 1 0
0 5 4
2 2 4
10 4
2 2 2
1 0 1
0 1 0
0 2 2
0 2 0
1 0 2
1 0 0
0 0 2
2 1 2
1 1 2
10 4
2 1 0
1 2 0
2 2 2
1 1 0
2 1 1
0 1 0
2 0 1
2 2 0
2 1 2
1 2 1
10 2
2 2 0
1 2 1
1 4 3
1 3 2
1 3 0
1 0 3
3 3 2
4 0 4
2 2 1
0 4 3
10 8
3 1 3
3 4 1
5 3 2
4 2 4
5 5 5
3 5 2
3 3 4
5 1 3
2 3 1
3 1 0
10 7
0 4 3
4 2 2
3 5 2
4 0 0
4 1 0
1 0 5
0 0 1
2 4 0
0 3 0
1 4 3
10 7
3 4 0
1 1 0
4 2 1
0 3 4
0 4 1
2 0 0
4 3 3
2 2 4
2 2 3
1 4 4
10 7
1 0 2
1 0 1
2 2 1
1 1 0
1 1 1
1 2 1
0 0 0
0 1 2
1 1 2
0 1 0
10 6
2 5 0
1 0 3
2 2 4
4 1 1
4 2 5
0 5 1
2 4 3
3 5 0
5 1 4
1 4 1
10 4
1 3 3
1 2 1
3 3 1
3 2 3
2 2 0
0 2 1
3 3 0
0 3 0
2 2 3
3 3 2
10 5
3 2 5
0 4 4
4 3 0
3 0 5
1 5 0
4 3 5
5 1 3
3 5 5
1 2 2
4 2 4
10 3
0 4 1
3 4 4
0 3 2
2 4 2
3 0 2
4 1 4
1 3 1
1 1 1
4 4 0
3 0 3
10 9
0 2 2
2 0 0
0 1 2
1 1 0
2 0 2
2 1 2
2 1 1
0 1 0
1 1 1
2 1 0
10 7
2 3 2
0 3 4
0 1 2
1 1 2
3 2 0
0 2 3
0 4 1
4 1 4
3 1 1
0 3 3
10 9
2 0 3
4 4 2
1 4 0
2 3 3
2 4 1
3 3 3
1 0 4
3 0 0
3 0 1
0 4 1
10 7
0 1 2
2 3 1
1 3 2
1 2 0
3 2 1
3 3 0
1 3 0
2 3 3
0 0 0
2 2 3
10 7
0 3 1
2 2 1
4 0 0
4 4 0
4 5 4
1 3 3
0 5 3
4 4 1
3 1 0
0 2 0
10 9
2 0 1
0 1 0
0 0 0
2 1 0
1 2 1
2 1 1
1 0 1
0 2 2
0 2 0
0 2 1
10 5
2 2 0
1 0 0
1 0 2
2 2 2
1 1 0
1 2 2
0 2 1
2 2 1
2 1 0
0 1 0
10 9
3 3 1
2 0 2
5 5 1
4 3 3
3 0 5
1 1 5
4 4 2
4 2 3
4 4 5
0 5 0
10 8
0 4 3
2 2 3
3 0 0
5 5 2
4 0 2
1 5 0
2 4 4
0 1 2
5 2 5
0 5 1
10 6
0 0 2
1 0 1
2 0 1
0 2 0
2 2 2
0 2 2
1 1 0
0 1 2
2 1 1
0 0 0
10 4
0 2 1
1 1 1
0 1 0
2 2 0
3 2 3
0 1 1
0 2 0
2 3 2
0 0 0
2 2 3
10 3
5 2 1
0 2 0
4 5 0
0 3 2
1 2 0
5 4 3
1 5 1
1 2 5
1 1 5
5 2 2
10 7
1 0 0
2 2 2
2 1 2
2 2 1
0 0 1
2 1 1
1 2 0
0 0 0
1 2 2
0 1 1
10 8
0 2 3
0 1 0
2 2 0
1 0 3
3 1 1
2 3 3
0 3 2
2 2 1
1 0 1
0 2 2
10 8
0 0 1
2 0 3
1 3 0
3 0 3
2 0 1
3 3 1
0 1 2
3 2 3
2 3 2
1 1 1
10 9
2 4 3
0 3 4
1 1 4
1 4 2
1 4 0
3 4 4
0 2 4
4 1 1
1 0 1
3 4 1
10 4
1 1 1
0 0 1
0 1 0
2 2 2
0 2 1
1 1 0
2 1 2
1 2 2
2 0 2
0 2 2
10 6
0 2 2
1 2 0
4 1 3
2 3 2
4 2 2
0 2 1
2 4 3
2 0 1
1 2 4
4 3 1
10 7
2 2 0
1 2 2
1 0 0
1 1 2
2 0 2
1 0 2
0 0 1
2 0 0
0 2 2
0 2 1
10 4
4 1 1
1 1 0
4 4 0
0 3 5
2 2 3
5 2 2
3 1 1
2 4 4
1 2 3
4 3 5
10 2
5 3 0
2 3 1
5 1 4
0 1 3
1 1 5
4 4 5
3 3 1
5 1 2
2 3 0
3 2 1
10 6
2 1 1
2 2 1
0 1 1
1 0 2
2 2 0
0 1 0
2 0 2
0 1 2
1 1 2
1 2 0
10 7
0 1 1
4 4 1
2 0 4
0 3 3
0 1 4
4 2 1
1 3 1
3 4 4
2 0 3
0 4 4
10 5
0 1 0
3 2 1
2 3 0
1 1 0
3 0 3
0 1 1
2 2 0
0 3 3
2 0 3
0 3 2
10 5
1 2 0
3 3 1
0 2 0
2 2 1
3 3 0
2 3 0
3 0 2
0 1 0
1 2 1
0 3 1
10 7
4 0 4
2 3 1
2 4 1
3 1 2
2 1 2
2 4 4
3 0 3
0 0 1
3 4 0
4 1 1
10 4
2 3 2
3 2 3
2 1 3
0 0 2
4 2 1
0 1 4
3 1 3
3 3 4
4 1 0
1 2 3
10 2
2 0 2
2 2 0
1 0 2
0 2 0
2 2 2
0 1 1
2 1 0
2 1 2
0 0 2
1 0 0
10 8
0 1 2
2 0 1
2 2 2
0 0 1
1 0 0
2 1 1
0 2 0
0 1 0
1 1 1
1 2 0
10 4
5 5 3
2 0 5
4 4 5
2 1 3
3 2 2
0 2 1
0 5 4
4 2 3
2 2 4
3 4 5
10 8
5 3 2
2 5 1
5 2 0
2 4 4
2 3 4
2 0 3
5 4 5
4 3 5
3 1 3
5 0 1
10 9
0 1 4
1 3 3
3 1 0
0 4 0
4 2 2
4 1 3
4 2 1
4 2 4
1 2 2
1 0 2
10 3
0 0 3
0 0 1
3 0 1
3 1 2
0 3 0
3 4 4
2 3 0
0 0 4
3 1 4
2 2 0
10 9
3 4 4
2 2 3
3 3 1
3 3 0
1 3 1
1 1 3
2 3 0
2 4 2
1 0 1
1 4 3
10 8
4 3 2
4 4 1
0 3 3
0 2 2
0 1 2
1 2 0
0 4 1
4 1 1
3 2 4
1 4 4
10 3
3 0 2
1 4 2
3 1 1
3 4 0
3 4 2
3 0 3
1 0 3
1 1 3
3 4 4
4 0 1
10 7
3 1 2
1 1 3
4 4 4
2 0 4
2 2 2
0 3 1
4 2 2
0 4 3
3 3 3
0 4 4
10 8
1 0 2
2 1 2
3 2 2
3 0 2
3 1 2
3 2 1
3 0 0
0 1 2
1 3 0
3 2 0
10 7
0 1 1
0 2 0
2 1 0
2 0 1
1 0 2
2 2 0
1 2 0
0 2 2
0 0 0
2 0 2
10 9
0 2 3
1 2 1
1 2 0
3 2 0
2 1 0
1 2 2
3 1 1
1 3 3
3 1 3
3 1 0
10 9
5 2 4
1 4 4
3 2 3
0 5 5
0 5 1
1 3 2
4 2 2
5 5 4
5 4 0
3 3 1
10 4
1 3 0
3 1 3
0 0 2
1 0 1
1 0 3
2 1 2
0 3 2
0 2 0
1 2 2
2 2 3
10 8
2 2 1
0 1 2
0 0 0
2 2 0
2 2 2
1 0 0
0 0 1
0 2 1
2 0 0
2 1 1
10 2
2 0 2
2 0 0
3 2 0
1 4 4
3 1 0
4 1 3
0 0 4
0 0 1
4 2 0
4 0 1
10 8
2 1 0
1 1 0
0 2 2
0 0 1
0 1 2
2 0 0
0 0 0
1 0 2
1 0 1
1 2 1
10 3
2 2 5
0 4 4
2 1 2
4 5 2
3 1 5
5 1 2
2 1 0
1 1 1
0 4 5
4 0 3
10 6
4 0 4
5 5 4
0 1 1
3 5 1
4 3 5
1 0 4
1 1 5
1 2 4
0 2 4
2 0 3
10 8
1 0 3
3 1 0
2 2 3
3 1 2
2 3 2
1 2 1
2 0 3
3 3 0
0 0 1
1 1 0
10 3
2 1 4
0 4 4
0 4 3
2 5 5
3 5 0
2 4 3
1 2 2
5 4 1
5 0 2
1 3 2
10 2
2 0 0
2 1 0
1 2 2
0 1 2
2 2 0
1 2 1
0 2 1
2 0 1
2 2 1
2 1 1
10 8
0 3 0
1 4 3
3 3 4
4 2 2
1 3 0
4 0 3
4 3 0
3 1 2
1 0 0
4 1 2
10 3
2 4 1
3 0 3
2 2 1
0 0 4
4 4 0
1 0 1
3 1 1
2 4 3
3 3 0
3 0 0
10 6
1 2 2
2 1 0
0 1 1
2 0 1
0 0 0
2 2 0
2 1 2
1 1 0
0 2 0
0 1 2
10 4
1 2 0
3 3 2
2 1 1
1 1 3
1 3 3
2 1 0
1 3 0
2 3 0
2 0 3
1 1 1
10 5
1 0 1
0 0 2
0 0 0
2 1 1
1 0 2
1 1 1
0 0 1
2 2 2
1 2 1
2 2 0
10 9
1 4 1
1 0 3
1 3 1
1 2 0
3 1 0
2 2 4
1 2 4
2 4 2
2 0 0
4 0 2
10 5
2 1 3
3 0 3
1 2 3
3 1 1
1 0 2
3 0 1
3 3 0
3 1 0
1 1 0
0 0 1
10 5
2 0 1
1 1 1
2 2 2
0 0 1
1 0 2
0 1 1
2 2 1
0 2 2
0 0 2
1 2 1
10 5
0 0 3
3 1 2
1 1 1
0 0 1
1 2 3
2 0 1
0 1 0
1 3 2
0 1 1
0 3 0
10 8
2 2 1
0 0 2
0 0 1
1 1 1
2 1 0
0 1 0
1 0 1
1 0 0
0 0 0
2 2 0
10 6
0 2 4
3 2 3
0 1 2
0 2 3
3 2 0
3 2 1
2 1 1
0 2 1
4 3 4
4 0 2
10 2
5 2 5
1 4 2
2 3 3
4 1 0
5 1 5
5 3 2
5 1 4
1 2 3
0 4 1
2 1 1
10 9
4 1 0
3 3 3
1 3 2
0 3 4
3 0 3
3 0 4
3 0 1
1 4 3
2 4 0
1 1 2
10 2
2 0 2
0 2 2
2 1 2
1 0 2
0 0 1
0 0 0
2 0 1
1 1 0
0 0 2
1 2 0
10 5
4 0 5
5 3 3
1 4 3
0 0 0
5 0 2
2 5 3
2 1 0
5 1 1
4 2 3
4 0 4
10 5
4 4 0
3 3 3
2 2 0
0 1 3
0 0 2
4 2 4
1 4 3
3 1 2
4 2 3
3 2 3
10 7
2 1 1
2 0 2
3 1 1
1 4 3
0 2 0
3 3 3
4 3 4
2 4 0
0 3 0
0 0 0
10 7
3 0 4
1 3 1
2 0 4
0 3 2
3 4 4
2 0 0
4 1 2
1 2 4
0 3 0
4 2 2
10 4
0 2 1
3 4 3
4 3 3
1 4 4
2 0 4
0 4 1
3 4 2
4 0 1
2 2 1
4 1 0
10 3
0 0 0
1 3 1
2 3 0
1 0 1
0 2 2
3 0 0
0 2 3
2 3 1
3 2 1
2 1 2
10 7
4 2 1
5 3 5
5 4 4
2 0 1
2 4 0
2 2 4
0 4 5
4 3 0
3 5 5
3 3 5
10 7
2 4 4
3 1 0
2 0 0
3 3 1
4 4 3
0 4 1
3 2 1
0 0 4
1 0 1
2 2 2
10 8
2 5 4
1 3 3
3 3 5
2 3 0
0 0 5
3 4 4
4 0 4
5 5 4
1 0 0
2 2 1
10 9
2 2 1
3 0 3
0 3 2
3 3 0
0 1 0
1 1 1
0 3 0
0 3 1
0 1 2
2 3 0
10 5
1 1 2
1 1 1
1 1 0
3 1 1
3 1 0
3 3 1
2 0 0
1 3 2
0 3 2
3 0 1
10 3
3 3 3
3 3 0
0 1 2
3 1 1
0 2 2
2 0 1
2 2 2
3 3 2
1 3 3
0 1 0
10 7
4 1 4
3 1 2
3 3 3
2 3 0
2 0 1
3 4 4
0 0 4
0 0 3
0 3 4
0 2 3
10 3
0 1 4
2 3 1
4 0 3
1 4 0
4 2 3
0 3 3
1 2 2
4 3 2
0 0 4
0 0 0
10 6
1 3 0
4 0 0
3 1 3
1 4 2
4 1 2
2 4 5
2 5 1
1 0 1
3 4 0
0 5 4
10 6
4 3 3
0 4 3
0 4 4
1 4 4
1 0 4
4 2 2
1 1 0
3 0 0
4 0 4
2 3 3
10 8
3 1 4
2 4 2
4 0 0
4 1 0
0 4 3
1 3 0
2 4 0
2 0 4
1 1 1
4 2 2
10 7
3 0 3
5 3 3
4 0 4
0 4 1
2 0 0
5 1 3
2 2 0
2 4 1
3 5 2
3 2 4
10 9
0 2 0
1 2 0
2 1 2
0 1 0
1 0 0
1 1 1
0 2 1
1 1 2
2 1 0
2 2 0
10 3
1 5 5
2 5 1
4 5 1
3 4 2
1 1 5
4 1 2
4 1 1
5 5 0
2 3 0
2 3 3
10 3
3 0 0
1 3 1
2 2 0
3 2 1
3 2 0
3 0 3
1 1 1
2 0 0
0 0 1
1 2 3
10 2
2 1 2
1 2 0
1 0 0
2 0 2
1 0 1
0 0 0
2 1 0
0 2 2
2 2 1
1 0 2
10 4
0 1 2
1 0 2
0 1 0
2 2 1
0 2 0
2 2 0
2 1 2
2 0 0
1 0 1
2 0 2
10 8
0 2 1
0 1 1
2 0 2
1 1 0
1 1 1
2 2 0
1 0 1
1 0 0
2 1 0
2 2 2
10 6
2 2 2
2 1 0
0 0 3
0 0 2
2 1 2
0 1 1
2 3 2
1 1 2
0 3 3
1 3 3
10 9
1 5 0
2 5 3
3 2 4
0 4 5
5 2 4
4 2 4
4 3 2
2 1 4
4 4 2
3 3 0
10 7
3 2 0
3 3 4
3 3 5
5 5 2
3 1 3
3 0 4
0 2 3
5 3 1
0 1 0
5 2 4
10 4
3 1 4
1 1 5
5 4 3
0 1 5
2 0 5
4 3 0
1 5 5
4 5 0
0 4 5
1 3 4
10 6
2 1 1
0 2 0
0 2 2
1 0 1
2 1 2
0 0 1
0 1 1
2 0 2
0 2 1
1 1 2
10 4
0 3 4
0 4 0
4 5 4
2 1 2
0 2 4
2 0 0
0 5 4
3 1 0
5 1 3
4 4 2
10 2
3 4 2
4 3 2
4 3 3
1 1 4
3 4 3
2 1 4
3 3 4
4 0 0
3 2 2
1 3 3
10 4
1 1 4
2 2 3
4 2 4
3 2 1
3 3 4
3 1 0
1 2 1
1 0 2
4 2 0
1 1 3
10 7
0 0 3
3 0 0
3 1 3
1 1 2
3 3 1
3 1 1
1 3 0
1 2 0
0 1 2
1 0 3
10 9
1 0 4
2 3 1
4 3 4
2 3 3
4 3 0
0 2 1
1 0 1
0 0 2
1 0 3
3 4 1
10 3
1 2 1
1 0 2
0 2 0
0 0 1
2 0 1
2 1 1
0 1 2
2 0 0
0 1 1
0 0 0
10 3
3 1 2
1 0 3
1 3 3
2 0 0
1 2 0
2 3 0
1 2 2
0 3 2
1 0 2
0 1 0
10 9
0 1 0
2 2 0
0 0 1
2 2 1
0 2 0
0 2 2
1 2 1
1 2 0
2 1 2
2 1 1
10 5
2 1 2
0 2 3
3 0 3
3 2 1
3 2 2
1 0 0
1 3 3
1 3 1
0 1 0
1 0 3
10 9
3 0 4
3 4 4
0 1 1
3 2 3
0 0 5
2 4 5
0 3 4
3 1 5
3 5 5
5 2 1
10 6
0 3 5
0 4 4
2 4 4
0 3 1
4 1 1
0 1 5
5 5 4
3 4 1
1 1 5
5 4 5
10 3
2 2 1
0 0 2
0 2 0
2 1 2
0 1 1
1 0 1
0 1 0
1 0 0
2 2 0
1 1 1
10 4
0 2 1
0 0 2
0 1 2
1 1 1
0 0 1
2 0 2
0 1 1
2 2 1
1 0 1
1 1 0
10 2
0 3 2
3 3 3
2 1 0
2 1 1
0 3 1
2 0 3
2 2 2
3 1 2
1 1 2
1 2 0
10 5
1 2 2
2 2 0
2 2 3
3 1 3
4 4 1
0 1 4
4 3 1
0 2 1
2 3 4
0 0 3
10 9
1 2 1
0 0 1
0 2 2
2 1 0
1 1 0
1 0 0
2 0 1
2 1 1
2 2 0
0 0 2
10 4
2 1 1
0 0 0
0 1 1
2 1 2
1 0 3
0 2 3
0 2 0
0 3 0
3 2 0
0 1 3
10 9
3 3 2
0 0 0
1 1 4
3 2 1
2 0 0
0 0 3
4 2 2
4 3 0
4 2 3
0 1 3
10 7
4 4 2
3 5 5
1 2 2
5 2 1
4 0 3
5 3 4
5 0 3
3 1 0
3 2 4
1 0 0
10 3
4 4 0
3 4 4
4 1 3
4 1 4
0 0 4
3 4 0
4 3 1
3 2 1
0 1 2
4 4 3
10 9
4 1 1
0 3 3
2 4 3
2 1 2
1 2 4
2 4 4
1 3 4
4 3 3
3 0 1
4 2 2
10 3
1 1 1
0 4 0
5 0 5
0 5 3
5 1 2
5 5 1
2 3 1
3 3 1
1 3 2
1 2 1
10 2
0 0 3
0 2 2
1 1 1
0 2 0
1 1 3
2 0 1
2 1 1
0 3 0
2 2 3
0 3 1
10 2
0 1 3
0 2 2
1 1 3
1 1 0
3 0 1
2 3 0
2 2 0
2 0 1
3 0 2
1 1 1
10 3
0 3 3
2 2 0
1 0 3
1 1 2
2 1 0
3 1 3
2 1 3
0 0 3
1 1 3
1 2 3
10 6
3 0 0
2 2 1
1 1 3
3 1 1
0 2 2
1 3 0
1 2 1
3 2 0
3 3 0
0 3 0
10 9
3 2 2
0 0 0
2 3 2
0 0 3
0 1 3
1 3 0
1 1 0
2 1 1
3 3 0
0 2 3
10 8
1 1 0
2 0 0
1 2 1
1 0 1
2 1 2
1 2 2
2 0 2
2 1 0
0 2 0
1 1 2
10 4
4 4 4
0 4 2
0 1 4
4 2 4
0 4 1
3 0 3
4 2 2
2 0 4
2 3 2
0 3 1
10 2
2 2 2
1 2 3
0 3 3
0 4 3
2 3 2
1 0 4
0 0 3
4 2 3
4 1 1
0 3 2
10 7
2 0 0
1 1 0
3 3 4
3 2 3
4 0 1
1 4 4
0 0 0
3 1 0
3 2 2
4 1 1
10 5
5 1 4
2 3 1
2 2 4
4 0 0
0 2 4
5 2 3
2 2 1
2 4 4
3 0 5
3 5 1
10 4
3 1 1
0 4 3
1 0 1
5 4 4
4 0 0
4 4 5
3 3 2
0 1 4
5 2 2
0 1 3
10 5
1 4 1
4 3 2
4 4 0
2 5 1
5 1 2
4 1 0
5 5 3
1 3 4
4 0 2
0 0 5
10 6
1 0 1
3 2 2
0 0 2
3 2 0
2 3 1
3 2 1
3 3 2
1 3 2
1 2 2
3 1 2
10 9
0 5 4
2 2 5
0 3 5
0 3 2
4 2 0
1 0 5
2 3 2
3 0 3
4 3 2
5 5 0
10 6
0 2 3
0 3 2
2 2 3
2 3 3
1 2 0
1 1 2
1 0 2
2 1 3
2 3 2
2 2 2
10 3
1 3 2
0 0 3
2 3 2
2 2 0
0 1 1
3 2 0
1 0 1
0 1 2
2 3 1
3 3 1
10 5
1 2 0
1 3 3
0 0 3
2 3 1
1 1 3
0 3 1
2 0 2
2 1 1
2 1 2
1 0 2
10 4
0 2 1
0 1 0
1 2 2
0 0 1
2 1 1
2 1 0
1 1 1
3 2 2
1 0 1
2 0 3
10 8
3 1 1
2 3 2
3 0 1
3 2 2
1 3 2
3 3 1
2 3 1
3 0 0
0 2 2
3 3 0
10 8
1 4 1
0 0 0
2 4 1
1 1 2
0 4 4
1 0 1
2 3 0
4 2 2
2 1 1
4 4 2
10 4
1 1 1
1 0 1
2 0 0
0 1 1
0 0 2
2 2 1
1 1 2
2 2 2
0 0 0
0 2 0
10 4
2 1 2
0 0 2
2 1 0
0 1 0
1 1 1
1 1 2
1 0 1
1 2 2
1 1 0
0 1 2
10 8
1 5 2
0 1 2
3 2 4
5 4 0
1 1 1
5 2 3
0 3 0
3 1 2
0 4 5
5 0 0
10 7
2 2 2
0 0 1
2 1 2
0 2 2
2 2 1
0 0 0
1 2 1
1 0 2
2 1 1
1 0 1
10 6
0 1 2
1 1 3
3 0 3
1 3 1
2 0 3
3 0 0
0 3 2
0 3 0
1 0 0
0 2 2
10 4
3 1 1
0 4 0
4 1 0
0 2 2
1 4 1
3 1 4
0 0 4
1 0 3
4 4 0
1 4 4
10 6
2 2 3
3 0 1
0 3 2
1 0 1
0 1 1
2 3 0
1 3 2
2 2 0
1 2 1
3 3 3
10 4
3 1 3
4 2 5
0 4 2
4 3 1
2 2 4
2 0 2
2 5 3
3 2 4
0 1 1
1 4 4
10 9
2 1 3
3 4 4
1 1 2
0 0 2
4 3 2
0 3 3
4 3 1
2 3 3
2 1 2
2 0 4
10 5
0 0 2
2 1 1
1 2 1
1 1 1
1 0 0
0 2 2
2 1 2
2 2 0
0 0 1
2 0 1
10 2
0 4 4
2 1 4
4 4 3
0 2 5
1 3 0
2 2 4
4 2 0
1 2 4
2 5 2
5 1 5
10 6
1 2 0
4 5 1
4 4 5
2 4 3
3 4 5
1 1 4
2 2 0
1 0 3
2 5 2
1 4 3
10 3
1 1 3
2 1 1
3 0 0
0 3 3
2 0 3
2 3 1
1 3 1
1 3 0
0 1 2
3 0 1
10 5
1 1 3
1 1 0
2 1 1
3 0 2
3 1 0
0 1 1
2 3 0
0 2 0
3 2 1
0 2 3
10 9
0 2 1
1 1 2
0 1 2
0 1 1
1 2 2
2 1 0
2 1 2
2 2 0
0 2 0
0 0 0
10 3
5 4 4
0 0 1
1 4 1
2 2 5
4 2 3
4 1 3
0 1 2
4 0 0
0 2 0
5 3 3
10 6
2 2 1
0 1 1
2 1 1
1 2 2
2 0 0
1 1 2
0 0 2
1 2 1
1 0 2
1 2 0
10 9
4 2 4
3 2 4
3 3 3
2 0 0
0 3 4
5 0 4
4 0 0
0 1 5
5 5 2
5 1 4
10 9
1 0 3
2 3 1
0 0 2
3 0 2
2 0 3
3 3 0
1 3 1
0 1 3
0 0 3
1 3 2
10 5
1 1 2
2 2 2
0 2 2
1 2 1
1 1 1
0 0 0
0 0 2
2 1 0
2 0 0
0 0 1
10 6
1 2 1
2 2 0
4 0 1
0 0 2
3 3 3
3 4 1
3 0 4
1 2 2
0 0 4
0 1 3
10 2
4 5 4
1 4 4
2 1 1
1 4 1
1 2 5
1 5 2
3 2 1
2 0 3
4 3 2
5 0 0
10 7
0 3 0
1 1 0
1 1 3
2 1 2
3 3 0
0 3 2
3 2 2
1 3 2
0 2 3
2 0 0
10 7
5 4 5
1 4 3
2 3 4
0 5 1
3 4 4
0 4 1
3 1 5
5 5 2
3 1 1
2 0 5
10 3
1 2 4
2 0 5
2 5 4
5 2 2
5 4 5
1 0 5
3 0 3
2 2 4
2 0 2
2 4 3
10 8
2 1 0
1 0 0
3 2 2
1 2 3
1 0 2
2 2 1
2 0 0
2 0 1
1 3 2
2 3 3
10 4
1 0 2
1 0 0
0 0 2
0 3 3
0 2 1
3 1 1
1 1 2
0 3 0
0 0 0
2 3 0
10 2
1 0 1
1 0 2
1 1 1
2 1 0
1 1 0
0 2 1
2 1 2
2 1 1
1 2 2
0 1 2
10 8
3 3 3
2 1 4
3 0 1
4 1 1
2 3 3
1 3 2
4 2 0
3 2 3
0 3 3
2 4 4
10 4
0 1 2
2 1 3
2 2 3
3 0 0
1 2 1
2 2 0
0 3 1
1 0 0
0 0 3
0 3 2
10 4
3 2 2
2 0 2
1 0 0
0 3 2
0 3 0
0 0 1
0 2 0
1 2 1
0 0 0
0 3 3
10 3
1 0 2
1 2 2
2 0 3
0 2 2
3 3 2
0 0 1
3 1 3
2 3 1
0 3 2
0 1 3
10 7
0 0 1
3 2 3
1 3 1
2 3 2
1 3 2
3 3 3
2 3 1
0 2 1
1 0 3
3 0 2
10 8
2 0 3
1 3 3
2 1 2
2 0 1
0 2 0
1 1 2
1 2 3
3 2 3
0 3 3
2 0 0
10 2
1 3 5
2 3 0
0 5 1
5 2 2
2 4 1
2 5 3
1 3 4
3 4 5
3 5 0
1 5 3
10 9
2 4 0
4 4 0
0 4 0
4 0 1
3 4 2
1 0 3
2 1 0
4 3 3
2 3 3
4 3 0
10 6
1 1 0
0 1 3
3 3 0
3 0 0
1 3 1
1 1 3
3 3 1
1 2 2
2 2 1
2 0 3
10 4
0 0 1
5 5 5
3 3 4
0 2 1
1 4 2
3 0 4
3 2 0
0 4 4
2 4 0
3 3 5
10 9
4 1 4
4 0 0
0 0 1
3 3 4
3 3 2
3 2 2
2 0 0
1 4 0
0 2 0
2 0 1
10 7
3 2 0
3 1 2
0 2 1
2 1 3
3 2 2
2 0 2
1 2 2
3 3 3
3 1 1
3 1 3
10 8
4 0 3
5 2 1
5 2 4
0 4 0
2 5 2
5 3 4
1 5 5
4 0 0
2 1 1
3 5 0
10 5
1 0 0
2 0 2
1 1 1
0 1 0
2 0 1
1 1 2
0 2 2
2 1 0
1 0 2
0 2 1
10 5
2 0 1
2 1 0
0 1 1
0 1 0
0 0 0
1 2 2
0 0 2
2 0 2
2 0 0
1 0 1
10 7
1 5 5
0 2 2
3 4 5
0 2 0
1 4 5
4 4 0
0 3 3
3 3 3
5 5 4
5 5 0
10 9
2 0 0
1 1 2
2 1 1
2 1 0
0 1 2
1 2 2
1 0 0
0 2 1
0 0 1
2 1 2
10 3
4 1 3
5 4 2
4 3 5
0 2 4
4 4 4
4 2 0
3 2 3
3 5 3
0 2 5
4 2 1
10 2
1 2 3
3 3 2
2 2 3
1 3 0
3 1 3
1 0 1
0 3 1
3 2 1
1 3 2
1 3 1
10 2
4 2 4
5 2 1
4 3 4
2 1 0
2 0 3
4 4 4
0 1 5
5 4 4
4 0 3
3 1 1
10 5
1 5 1
2 3 1
5 2 1
3 2 3
3 0 0
5 0 4
1 1 1
2 0 0
0 1 0
4 0 1
10 4
1 0 5
0 4 0
4 3 3
5 3 0
5 5 2
2 0 5
5 3 2
4 5 4
4 5 5
1 2 3
10 2
5 4 0
0 1 3
1 4 1
1 0 2
4 4 5
5 0 0
4 0 3
3 1 0
5 2 0
3 1 2
10 7
1 0 2
0 0 0
2 1 1
0 1 2
2 0 1
2 2 0
0 0 1
0 0 2
2 0 2
0 1 0
10 9
3 2 3
4 0 1
1 4 2
2 4 2
0 3 3
4 4 3
4 3 1
3 0 0
3 2 1
1 3 2
10 3
1 1 0
0 0 1
2 2 2
2 0 0
0 2 1
0 0 0
2 1 1
0 0 2
1 1 1
1 0 2
10 8
5 3 5
5 0 0
3 4 3
3 0 2
0 4 5
2 5 2
4 4 1
3 5 1
1 5 3
0 0 1
10 9
2 1 2
0 0 1
2 0 0
2 2 1
1 1 0
0 0 0
1 0 1
2 0 2
1 2 1
0 2 1
10 7
0 1 3
0 3 1
1 0 1
3 2 3
4 0 3
1 0 0
2 4 4
2 0 1
1 2 1
4 0 2
10 6
0 2 1
2 3 0
3 1 0
3 3 2
2 0 3
1 3 1
0 1 3
1 3 3
3 3 1
3 3 3
10 2
3 0 2
3 3 1
1 3 0
0 2 0
3 2 0
3 1 0
2 1 3
3 3 2
3 0 0
2 1 0
10 3
0 4 4
3 1 4
3 5 0
3 4 1
3 3 5
4 5 4
1 3 3
5 1 5
4 1 2
0 2 5
10 2
3 5 5
1 0 4
3 2 5
0 0 2
2 1 3
3 2 2
0 3 1
4 5 2
3 0 2
4 3 2
10 8
1 2 2
2 2 1
0 2 2
0 2 0
1 1 0
0 0 0
2 1 2
2 0 0
0 0 2
0 1 2
10 9
3 1 3
3 0 2
1 2 3
1 1 1
2 3 0
0 3 0
1 0 0
3 1 2
1 3 1
1 0 3
10 8
2 0 0
1 1 0
1 0 2
1 0 1
0 1 0
0 0 2
2 2 0
0 1 2
2 1 2
2 0 1
10 9
2 0 0
2 0 2
1 1 2
2 2 0
2 0 1
1 1 0
0 0 1
1 0 1
0 1 0
0 0 2
10 3
1 5 4
4 0 1
2 1 0
4 0 0
4 1 4
2 3 4
1 4 4
5 3 3
3 5 3
5 5 1
10 2
3 0 0
1 0 1
5 1 0
2 4 5
4 4 4
2 2 4
0 0 1
1 2 4
2 5 5
1 1 2
10 4
0 0 0
4 2 0
2 0 2
1 1 4
5 2 0
3 2 3
3 0 2
2 4 0
5 0 0
3 2 5
10 2
0 0 4
1 2 2
3 1 4
3 1 0
1 1 2
3 0 1
2 1 0
2 1 4
0 4 4
4 1 0
10 2
2 0 2
0 3 2
1 2 3
1 1 3
0 2 3
3 3 3
3 0 3
3 3 1
1 0 1
2 1 3
10 7
1 3 2
2 2 0
1 2 3
2 3 3
1 1 0
0 0 3
3 1 1
2 1 1
1 3 1
1 0 3
10 4
1 0 1
3 4 3
0 1 2
3 4 2
3 4 4
0 0 2
1 2 2
4 1 4
2 2 2
3 2 3
10 6
3 3 1
1 3 2
0 3 4
3 0 4
1 3 0
2 1 4
2 1 2
3 1 3
1 4 4
3 4 4
10 4
1 2 1
2 3 4
2 0 2
4 3 4
4 1 0
1 2 4
4 4 4
1 1 4
2 1 1
0 2 0
10 9
2 1 2
2 2 2
0 0 0
2 2 0
1 0 0
0 1 2
1 1 1
0 0 1
2 0 1
1 2 1
10 4
1 0 0
2 1 0
3 1 2
2 0 2
2 0 3
2 1 2
1 2 1
0 3 3
0 1 2
3 2 0
10 6
5 3 5
1 4 2
4 2 3
3 0 1
0 4 5
1 1 3
0 0 3
2 5 0
2 5 4
1 5 2
10 3
0 4 3
4 1 1
0 1 4
4 0 2
1 4 0
2 4 4
4 1 2
0 4 0
1 0 2
3 4 0
10 6
3 3 3
0 3 0
2 2 2
1 0 1
0 0 2
0 1 3
3 3 1
1 0 0
3 1 2
0 2 1
10 6
1 0 0
4 1 3
0 3 1
4 4 1
2 2 3
1 2 1
4 2 2
4 0 4
2 1 4
0 2 0
10 2
4 4 1
2 0 0
2 1 5
1 0 4
5 0 4
3 3 2
5 3 0
4 0 1
1 5 0
0 3 2
10 6
1 4 3
3 3 3
4 3 3
0 0 4
0 4 3
3 2 2
2 3 0
2 3 1
4 0 3
2 0 4
10 4
1 3 0
1 2 3
3 0 3
2 0 2
3 2 3
1 2 1
1 0 1
2 2 3
0 1 1
3 1 2
10 8
4 0 2
0 4 2
4 3 2
3 2 2
3 4 1
0 3 0
0 4 1
4 2 2
2 0 4
1 0 2
10 7
2 0 1
1 2 1
1 2 2
1 1 0
2 2 0
1 1 2
1 0 0
0 2 2
0 1 2
2 1 0
10 5
3 3 1
3 0 1
2 1 0
3 0 2
0 1 2
2 0 0
0 1 3
3 1 2
3 0 0
2 1 3
10 2
2 2 2
2 3 1
2 4 0
4 3 1
0 3 3
2 2 1
3 0 4
0 4 2
3 2 1
4 2 4
10 4
1 3 2
4 2 3
3 4 0
0 4 1
0 0 2
3 2 2
1 1 4
4 1 2
0 1 1
1 2 2
10 4
3 2 3
1 2 3
1 1 3
3 0 0
2 2 2
3 0 1
0 3 3
0 0 0
3 2 1
3 0 2
10 3
3 2 3
0 2 2
0 0 1
0 2 5
5 3 0
0 5 4
3 4 1
2 0 1
2 2 1
3 1 1
10 3
1 2 2
3 0 4
4 4 4
4 1 3
0 4 3
4 3 0
0 0 1
1 2 3
1 4 3
1 3 4
10 8
1 1 1
1 0 1
2 0 2
0 0 0
0 0 2
2 0 1
1 2 0
2 2 2
2 1 2
1 0 0
10 4
0 4 0
2 2 3
2 1 0
4 0 1
2 0 3
3 2 1
2 1 3
3 1 4
3 0 3
3 2 4
10 8
1 2 1
4 3 4
3 2 3
1 4 1
4 1 4
3 3 4
2 1 0
2 0 1
3 4 4
4 2 0
10 3
0 4 0
1 5 3
4 0 3
5 1 1
5 4 4
4 0 2
1 3 1
3 3 0
1 0 4
2 5 1
10 5
3 5 2
1 0 5
0 4 2
2 5 5
0 2 4
4 2 1
3 1 3
1 3 4
5 4 3
5 3 1
10 9
2 0 0
1 0 1
3 1 2
1 1 3
1 2 1
0 0 2
2 1 3
3 0 0
1 3 1
1 1 1
10 7
2 1 1
0 0 2
0 2 1
1 0 0
0 2 2
0 0 1
0 1 2
2 0 0
2 0 1
2 2 1
10 4
3 2 3
3 1 2
1 3 3
4 3 1
3 3 3
2 2 3
0 1 4
1 1 4
1 2 1
1 4 4
10 5
3 3 0
0 1 3
3 3 2
2 1 2
2 1 3
0 0 1
3 0 1
2 3 2
1 3 2
1 1 1
10 4
1 0 1
0 0 2
1 1 0
2 2 0
2 1 2
2 0 1
1 2 0
0 0 1
1 1 1
1 0 0
10 8
1 1 5
5 0 3
4 4 1
3 3 4
5 0 4
5 3 0
3 2 0
1 5 0
2 4 0
5 3 2
10 7
3 5 3
5 3 3
3 5 5
0 0 5
0 1 2
4 4 5
5 1 5
3 2 1
1 2 3
4 4 2
10 8
2 4 3
0 2 2
3 0 4
4 3 4
1 4 1
3 3 1
1 1 1
2 4 1
0 0 3
1 1 2
10 7
3 2 5
0 2 1
0 5 0
0 2 2
4 4 3
0 1 2
0 1 4
5 5 0
2 4 2
3 0 2
10 7
2 2 0
3 1 3
1 3 3
2 2 2
1 3 0
3 1 2
2 3 0
3 0 0
0 3 3
3 1 1
10 2
2 0 1
2 2 1
1 1 2
0 2 1
1 2 2
0 1 1
2 1 2
0 1 0
0 2 0
1 0 2
10 5
3 3 0
4 3 2
4 4 3
0 1 0
0 3 1
4 2 3
1 4 0
4 1 1
0 3 0
3 0 2
10 4
0 0 1
3 1 1
1 0 2
2 2 1
1 3 2
1 0 3
1 1 1
1 2 0
0 2 2
1 3 0
10 6
2 2 2
2 2 3
3 3 0
1 2 0
1 3 3
3 3 2
0 0 0
0 0 2
0 2 3
2 1 2
10 5
0 5 2
2 2 4
4 1 2
3 0 5
4 1 5
0 4 0
2 5 1
5 1 2
1 2 2
4 5 5
10 2
0 0 2
0 1 0
2 1 2
1 1 1
0 2 0
1 1 0
1 0 1
2 1 0
1 2 0
1 2 1
10 2
1 1 2
2 3 3
2 3 2
0 1 2
2 0 1
2 0 3
0 1 3
2 3 0
1 1 3
2 1 3
10 5
1 0 4
5 4 3
4 3 3
5 2 3
3 5 1
0 4 0
1 1 3
0 5 4
5 3 2
3 2 3
10 2
1 0 0
0 2 1
0 3 2
1 2 2
0 3 3
2 2 0
2 3 2
3 3 3
3 0 2
2 0 1
10 9
3 3 2
1 2 1
0 3 3
1 3 3
1 4 4
0 2 4
1 0 4
0 1 3
0 4 0
4 3 3
10 2
2 0 2
3 0 2
3 2 0
0 3 2
1 0 2
2 0 1
3 1 2
3 2 3
0 2 2
2 2 2
10 8
3 1 3
0 4 3
0 1 1
0 2 0
2 2 1
3 0 0
4 2 3
4 4 0
2 1 4
2 0 0
10 4
4 3 1
4 0 1
0 3 0
2 4 2
3 0 0
3 1 2
2 2 0
3 0 1
4 0 4
0 4 3
10 7
2 2 0
1 0 1
1 0 2
1 0 0
1 1 0
0 1 0
2 1 2
1 1 1
2 1 0
1 1 2
10 2
0 0 0
1 1 2
3 2 2
0 2 2
2 3 0
0 0 3
3 3 1
0 1 2
1 2 3
3 1 1
10 7
0 2 0
1 1 2
2 0 0
2 0 2
2 1 2
1 1 1
2 2 1
2 2 0
1 0 1
0 1 0
10 8
2 2 2
1 1 1
2 2 1
1 2 2
1 2 0
2 1 0
2 0 0
1 1 0
2 1 1
0 0 0
10 3
4 4 4
4 0 4
2 0 4
4 0 3
2 3 2
2 2 1
2 1 0
0 3 2
2 4 3
1 1 2
10 2
4 1 1
5 5 5
1 4 5
0 1 1
0 2 1
1 5 3
2 3 2
2 1 4
5 1 4
4 2 3
10 6
0 0 3
0 2 1
2 2 2
2 1 0
2 1 3
0 3 2
1 2 0
2 3 0
1 1 1
1 0 0
10 3
2 2 1
3 0 2
3 2 0
0 0 1
1 0 0
1 2 1
3 0 1
3 1 3
0 3 0
1 2 3
10 6
2 0 3
1 3 0
0 3 0
3 1 0
3 0 1
1 3 2
1 0 2
0 0 0
3 2 1
3 0 0
10 7
4 2 2
3 2 4
3 2 1
3 1 0
4 1 1
4 4 0
0 3 3
3 4 2
2 3 1
3 0 2
10 5
0 2 2
0 1 2
2 0 1
1 2 1
0 2 1
1 2 2
2 1 1
1 1 0
2 2 1
0 0 0
10 3
2 1 0
2 1 2
0 0 2
2 2 1
1 1 2
2 0 0
2 1 1
1 1 1
0 1 2
0 2 0
10 9
5 5 4
5 1 2
1 1 0
0 5 5
0 2 1
5 2 3
5 2 5
2 2 4
3 5 4
4 2 1
10 4
0 1 2
0 0 1
2 0 0
0 1 1
0 2 0
1 0 0
1 2 0
1 1 0
2 0 2
2 2 1
10 8
0 0 2
1 2 1
2 2 1
0 1 1
2 0 0
2 0 1
0 2 1
2 1 0
1 2 0
0 2 0
10 3
2 3 0
2 2 1
0 0 1
3 1 2
1 2 1
0 3 3
3 0 2
1 1 3
0 1 0
1 0 0
10 6
0 3 4
0 2 0
5 4 4
5 3 3
0 0 1
2 5 2
0 5 5
4 1 2
4 4 1
4 3 1
10 2
4 1 0
1 4 3
2 1 2
2 0 5
1 4 0
3 0 0
4 0 0
0 0 2
4 5 2
0 3 3
10 4
0 0 2
1 2 4
2 0 4
3 3 4
3 3 1
0 4 3
2 4 4
4 0 0
1 4 2
2 4 1
10 3
2 3 0
0 1 3
3 0 1
2 1 2
2 2 2
3 3 1
0 3 1
3 1 2
3 3 0
2 1 3
10 7
3 4 1
1 4 2
4 3 5
1 2 2
3 0 5
0 3 3
3 1 0
1 4 0
3 2 5
2 1 1
10 8
1 0 2
0 0 2
1 2 1
0 1 0
2 0 0
2 1 2
2 0 1
2 2 2
1 2 0
1 1 1
10 6
3 0 2
1 0 1
3 3 3
3 3 0
1 0 2
0 0 3
2 2 1
3 3 2
1 2 3
1 0 0
10 4
4 2 1
3 0 2
1 2 1
4 4 0
2 0 2
4 2 2
3 3 0
3 1 0
0 2 2
0 2 4
10 9
0 0 0
1 1 0
0 0 2
2 0 2
1 2 0
0 2 2
2 1 2
0 0 1
1 2 1
2 0 1
10 5
4 2 2
0 3 2
3 2 4
0 4 4
0 2 4
0 0 4
0 1 0
2 4 1
2 4 4
4 4 3
10 3
2 1 3
0 1 0
1 1 1
1 2 1
2 0 3
0 0 3
2 2 3
0 3 0
3 1 2
0 1 2
10 5
2 3 1
1 3 2
1 2 0
1 0 2
3 0 0
0 2 3
2 1 3
1 3 1
0 1 3
0 0 3
10 6
3 1 3
3 3 1
3 2 3
1 2 0
1 3 0
1 0 0
2 3 3
2 1 1
2 1 2
1 2 1
10 7
3 3 3
3 1 0
3 0 0
3 3 1
2 3 0
1 1 1
0 1 1
1 0 2
3 2 1
3 0 2
10 2
1 2 3
1 0 3
0 1 3
3 2 1
0 3 3
1 1 0
0 1 0
1 1 2
1 2 1
3 1 3
10 7
2 3 0
3 0 0
3 2 2
1 1 3
1 0 3
1 2 3
0 1 0
2 0 2
3 3 3
3 0 2
10 5
0 2 2
0 2 0
0 2 1
3 1 2
3 1 0
1 1 2
0 0 1
2 2 1
3 0 1
2 0 0
10 3
3 1 2
2 2 2
2 2 0
3 0 0
1 1 2
1 2 3
3 0 1
3 2 0
0 3 3
2 1 1
10 2
0 1 0
1 1 2
3 3 3
2 0 3
3 3 2
0 2 1
0 3 1
3 0 2
3 2 2
1 3 0
10 4
0 1 1
0 1 0
2 2 0
0 2 0
0 2 1
2 1 2
1 2 2
2 2 2
0 0 1
0 1 2
10 3
2 0 2
1 0 1
0 0 2
0 0 0
2 2 0
0 1 2
1 2 0
1 1 1
0 1 0
0 2 0
10 6
2 0 1
4 1 4
2 2 4
3 1 2
0 4 0
2 3 4
3 2 2
1 2 1
4 1 0
3 2 1
10 8
1 1 0
2 2 2
0 1 2
1 1 1
0 0 2
0 1 0
1 2 2
1 0 2
0 0 0
1 2 1
10 9
1 1 0
1 2 2
2 0 0
0 1 0
2 1 1
2 2 2
1 1 1
0 1 2
1 1 2
2 2 1
10 9
0 2 1
2 0 1
2 2 1
1 2 2
0 0 0
0 1 2
0 1 1
2 1 0
1 1 2
1 1 1
10 3
1 3 3
1 1 0
3 0 3
1 1 1
3 0 0
3 3 3
3 3 1
2 2 3
2 1 0
0 0 0
10 7
1 1 2
0 0 1
2 0 2
0 1 1
2 2 2
2 2 1
0 0 2
1 2 0
2 0 1
0 0 0
10 3
1 2 1
2 1 2
0 0 0
2 2 0
1 0 1
2 1 1
2 2 2
0 0 2
2 1 0
0 0 1
10 5
1 1 0
2 2 0
2 2 1
0 0 2
0 2 2
1 0 0
0 0 0
0 1 2
0 0 1
1 1 1
10 7
1 1 0
4 4 3
2 4 3
1 5 4
4 5 5
3 1 1
3 3 3
3 0 0
5 2 4
4 1 5
10 9
3 2 1
1 2 2
1 0 1
3 0 0
1 3 2
1 0 0
2 2 1
3 0 1
1 1 1
1 2 0
10 4
5 2 2
1 4 4
4 2 3
1 1 5
3 1 5
2 3 2
5 4 1
3 2 3
2 4 4
5 0 1
10 6
1 5 3
1 4 3
2 5 4
5 4 5
2 4 5
2 3 2
5 3 2
3 1 0
2 4 3
4 3 1
10 8
3 3 0
1 2 2
3 1 2
3 2 1
2 1 2
3 0 2
0 3 3
3 1 1
3 2 2
3 3 1
10 6
1 0 2
2 0 0
2 2 2
2 1 0
1 2 2
0 2 1
0 0 2
2 2 1
0 2 0
1 0 0
10 4
0 0 3
1 0 2
2 2 1
0 3 3
3 1 1
2 2 3
3 1 2
0 1 0
2 0 2
3 0 0
10 3
2 2 1
0 2 2
2 1 2
1 1 0
2 0 0
1 1 2
0 2 0
2 0 1
0 1 1
2 1 1
10 4
0 0 1
0 1 1
1 2 1
0 1 0
2 2 2
1 0 1
0 0 0
1 1 1
0 2 0
0 2 1
10 3
3 0 3
3 4 3
1 3 5
2 3 5
1 2 0
3 4 1
0 5 5
5 4 1
1 5 0
4 2 2
10 8
1 1 2
2 2 3
1 3 3
0 0 2
0 2 2
3 2 2
3 0 3
2 0 2
0 3 2
1 0 2
10 3
0 4 4
0 4 0
1 4 0
4 0 0
1 2 4
1 0 2
4 4 1
0 2 0
1 4 1
1 0 4
10 5
1 0 2
2 3 1
0 3 1
2 4 1
2 1 3
1 3 0
1 0 4
2 2 2
1 2 2
4 3 2
10 9
0 2 1
1 2 2
0 0 2
3 2 0
0 1 1
3 2 2
2 2 0
2 2 2
1 1 3
2 3 3
10 5
1 2 2
2 2 2
1 2 1
0 2 0
0 0 1
2 1 2
2 1 1
1 0 0
2 0 1
1 1 2
10 7
3 4 3
3 2 1
1 1 0
4 0 3
0 3 0
1 2 3
3 4 1
2 0 3
2 4 4
0 0 4
10 8
2 0 2
0 1 2
2 0 0
0 0 0
0 2 1
1 2 0
2 2 2
1 0 0
0 0 1
0 1 0
10 8
3 3 1
2 2 2
2 1 1
0 1 2
2 1 2
3 1 0
3 2 1
0 2 2
0 3 2
0 0 3
10 9
1 1 2
2 2 0
1 1 1
1 1 0
0 2 2
0 0 0
1 0 1
0 0 1
2 2 2
2 0 0
10 9
0 4 1
3 0 0
0 3 3
4 1 3
4 1 1
3 4 1
2 2 4
1 3 1
3 0 2
1 2 1
10 5
1 1 1
2 1 2
1 0 2
0 0 1
1 1 0
1 2 0
0 1 1
0 1 2
2 2 1
2 1 0
10 3
0 5 4
3 4 3
4 5 4
5 4 4
4 0 2
2 3 4
2 3 3
2 0 1
3 0 2
5 3 4
10 7
3 2 3
3 1 3
3 1 2
1 0 0
0 1 0
0 2 3
1 2 3
3 3 2
1 0 2
0 2 0
10 7
1 2 0
0 1 1
1 0 1
1 1 2
0 2 1
1 2 2
0 0 1
2 1 2
1 2 1
0 2 0
10 6
2 2 1
1 2 2
0 2 0
0 0 2
1 1 0
1 1 2
1 2 0
1 0 1
0 2 2
2 2 0
10 9
1 1 0
1 2 0
0 0 1
2 2 2
0 2 2
1 2 1
0 2 1
0 0 2
0 0 0
0 1 2
10 9
4 4 3
2 0 1
4 0 2
2 4 3
2 2 3
4 2 2
1 4 4
3 3 2
3 4 3
0 0 3
10 2
3 2 4
5 2 1
4 5 0
1 3 3
0 1 3
2 3 2
3 4 3
4 3 1
5 3 1
4 3 3
10 3
0 3 3
0 2 2
0 3 0
1 0 3
4 4 2
3 0 2
1 3 0
0 1 1
4 1 3
1 1 2
10 5
2 2 3
3 2 3
0 2 1
3 0 0
0 1 0
1 2 0
2 3 2
3 1 3
1 1 0
0 0 2
10 4
3 1 0
3 2 1
0 5 1
3 4 1
3 3 2
4 5 2
3 2 3
3 2 4
3 3 4
1 3 4
10 6
2 3 3
0 0 0
1 0 2
2 0 3
1 3 2
0 3 2
3 3 0
1 0 1
2 2 3
3 1 2
10 4
3 1 3
1 4 1
3 4 4
3 1 1
1 3 2
0 2 0
3 0 1
0 3 3
4 2 4
1 3 1
10 5
1 1 2
2 0 2
2 1 0
0 2 1
1 0 0
2 2 0
1 2 0
2 0 0
2 2 2
0 1 0
10 6
2 5 5
2 0 5
2 1 2
0 1 0
0 4 4
0 0 0
3 0 1
2 3 1
5 4 5
4 3 5
10 9
2 3 4
0 2 4
3 4 4
3 4 1
1 4 4
4 3 0
0 2 2
4 0 1
4 2 2
0 1 2
10 7
0 2 0
0 2 2
0 0 2
1 1 2
1 1 0
2 1 2
0 2 1
2 0 2
0 0 1
0 0 0
10 6
3 3 4
0 4 3
2 2 1
4 1 1
0 2 0
0 2 4
0 1 1
4 4 3
2 1 0
1 0 3
10 8
1 0 0
2 2 2
1 0 1
1 1 1
2 2 1
2 1 0
0 2 0
2 0 0
1 0 2
1 1 2
10 4
3 5 1
3 3 4
5 3 2
1 2 4
3 2 0
5 2 5
2 2 4
2 5 1
5 0 3
4 5 1
10 5
2 3 1
3 3 3
3 1 3
1 2 4
1 0 0
2 1 3
1 2 0
1 1 3
3 2 1
4 0 3
10 5
2 3 3
0 2 2
1 1 1
1 3 3
2 2 0
0 2 3
0 3 3
0 0 3
1 2 2
2 1 3
10 2
2 2 2
2 0 2
1 1 2
2 1 1
0 0 1
0 2 2
1 0 2
0 0 0
0 2 1
1 2 1
10 8
0 3 0
1 3 3
1 2 1
2 3 1
1 0 1
3 1 2
2 0 2
2 3 2
2 0 3
3 1 0
10 8
3 1 1
3 0 2
0 3 1
0 0 0
0 2 1
1 3 2
3 2 2
0 1 3
3 2 0
1 2 3
10 7
2 1 0
0 0 1
1 0 1
0 1 2
2 0 1
0 0 0
0 0 2
2 0 0
0 2 0
0 2 1
10 8
2 2 3
3 2 2
2 0 3
3 3 3
2 0 1
0 3 1
3 3 2
0 3 2
2 2 1
0 1 2
10 6
0 3 2
1 1 1
0 0 0
4 2 4
0 1 3
3 1 3
3 1 4
0 2 1
4 2 0
0 1 0
10 6
1 3 0
1 1 0
0 1 3
4 0 2
2 0 1
3 2 4
3 2 2
0 3 1
4 1 4
0 0 0
10 9
3 0 2
1 0 1
3 1 3
1 3 3
2 1 0
3 3 3
1 3 2
1 1 1
1 0 3
1 2 1
10 6
3 0 0
1 4 4
0 1 4
4 4 1
3 4 0
2 0 1
1 0 0
4 2 3
3 1 2
1 3 2
10 2
0 2 4
1 5 3
0 1 3
3 4 0
1 1 3
1 3 3
0 0 3
2 2 4
2 3 0
2 2 0
10 4
4 4 3
0 4 0
4 2 2
4 1 1
1 2 3
2 1 2
1 3 4
1 1 4
3 3 4
4 1 0
10 9
1 1 2
0 2 2
2 0 1
0 0 0
1 1 1
1 1 0
1 0 0
0 0 1
1 2 0
2 0 2
10 6
4 2 0
5 3 4
1 3 0
0 1 0
2 5 3
4 4 0
2 0 3
1 5 5
0 2 0
1 3 5
10 8
1 3 1
3 4 1
4 0 2
4 0 1
3 3 1
1 2 2
1 0 3
3 2 0
1 4 2
4 0 4
10 6
2 0 1
2 0 0
0 2 0
2 0 2
2 1 2
0 1 2
1 0 1
2 1 0
2 1 1
1 0 0
10 9
2 3 4
2 2 1
1 4 4
3 4 1
0 1 1
3 1 1
2 1 4
3 4 3
1 2 1
1 0 4
10 4
3 1 3
1 0 1
0 0 1
4 0 3
1 0 2
1 2 2
1 4 3
3 3 1
2 1 4
3 1 1
10 4
1 4 5
1 0 3
5 5 3
0 1 4
3 4 3
0 5 1
0 0 1
0 3 5
5 3 5
5 4 2
10 6
1 1 3
0 1 2
1 3 2
2 1 3
2 1 2
3 0 0
2 3 3
0 2 3
1 3 0
1 3 3
10 6
1 1 4
5 2 4
5 3 4
0 5 5
4 5 0
1 0 2
2 3 2
0 3 1
1 1 3
0 5 4
10 8
0 1 2
1 2 0
2 2 2
1 0 0
1 0 2
0 2 2
1 1 0
1 1 1
0 1 1
2 0 1
10 9
5 3 5
5 2 2
3 3 2
3 4 3
1 5 1
2 4 0
1 2 4
2 1 0
3 4 1
5 2 3
10 7
0 1 1
2 2 3
3 3 1
0 4 2
3 2 0
3 0 3
1 2 0
3 4 1
1 0 3
2 0 3
10 6
2 0 1
2 1 0
0 2 1
1 1 1
0 1 1
1 1 0
2 2 2
2 2 0
0 0 2
1 0 1
10 3
1 1 3
2 2 1
1 0 1
0 0 3
2 0 1
2 0 0
1 3 2
2 0 3
1 3 0
3 0 1
10 4
1 5 1
0 4 0
3 0 5
0 2 0
1 0 5
4 5 2
2 2 0
1 1 3
2 1 2
1 4 1
10 7
4 2 1
1 4 2
5 0 3
2 2 1
1 1 1
1 5 0
2 3 0
0 1 3
4 0 3
2 0 1
10 8
1 3 3
1 2 1
4 4 1
1 0 4
2 2 4
2 1 1
4 2 1
3 4 3
0 2 2
3 2 3
10 2
2 3 3
0 2 2
0 1 3
3 2 1
2 0 2
3 1 0
3 0 1
2 2 3
1 3 1
0 2 0
10 9
0 1 1
0 0 0
1 0 0
1 0 1
2 1 0
1 2 0
1 1 1
0 0 1
0 2 2
1 2 1
10 2
3 0 1
0 1 2
1 3 2
1 1 1
3 2 1
1 2 1
3 0 2
2 3 0
0 2 0
0 2 2
10 5
4 0 0
3 0 5
4 5 3
4 3 2
1 5 2
5 3 2
5 5 1
4 3 4
3 4 3
5 1 4
10 7
0 1 3
1 0 0
5 1 3
1 1 5
0 2 1
2 2 0
0 4 2
3 5 1
2 0 5
1 2 5
10 7
1 0 1
0 2 1
0 0 2
0 0 0
2 1 0
0 1 1
1 0 0
1 1 1
1 2 1
0 0 1
10 8
3 1 0
3 1 4
0 4 2
0 3 4
2 2 1
3 2 1
0 4 0
2 2 4
0 0 2
3 2 2
10 9
0 0 0
2 2 0
0 0 1
2 0 1
1 1 1
1 2 2
0 0 2
0 1 0
1 2 1
1 0 1
10 6
4 0 4
4 4 2
4 0 3
1 4 1
1 3 1
4 2 1
1 3 2
1 1 2
3 4 0
2 3 1
10 8
1 2 2
0 0 1
1 0 2
0 2 2
0 2 0
2 1 2
2 0 2
1 2 0
2 2 2
1 1 2
10 7
1 0 2
2 1 1
0 1 0
1 0 0
1 0 1
2 0 0
1 1 2
1 1 1
0 0 1
0 0 2
10 8
2 2 1
1 2 1
1 0 2
1 0 1
0 1 1
1 2 2
0 0 2
2 0 1
0 2 2
0 1 2
10 4
0 5 2
5 1 3
0 4 1
4 0 2
4 4 2
1 3 4
3 2 2
5 5 3
2 4 5
1 2 0
10 2
2 0 3
0 2 1
2 3 0
2 3 3
2 3 1
2 1 0
3 3 1
3 3 2
3 2 1
2 0 2
10 5
1 1 2
1 2 1
1 2 2
1 2 0
1 0 1
0 1 2
2 1 1
0 2 0
2 1 0
0 2 2
10 5
0 2 3
2 0 3
2 2 3
2 3 1
1 1 1
0 3 1
0 3 2
3 2 1
0 0 3
2 1 1
10 9
4 1 4
3 1 3
1 0 1
0 2 0
3 0 4
4 0 2
3 1 4
3 2 4
3 3 3
0 3 3
10 8
1 0 3
2 2 0
4 3 0
0 4 3
0 4 0
3 0 2
0 4 4
2 3 0
2 2 1
1 2 3
10 8
0 0 3
2 1 2
0 3 1
0 3 2
3 3 3
3 0 2
2 2 2
2 3 3
2 0 2
2 1 0
10 2
2 1 2
0 1 2
2 1 0
0 2 2
0 1 1
2 2 0
1 0 2
0 2 1
2 0 1
1 2 0
10 8
0 0 1
1 1 0
0 1 0
1 1 1
1 0 1
2 2 1
0 2 2
0 2 0
1 2 2
0 1 2
10 5
2 1 0
1 1 3
3 2 0
3 3 1
3 1 2
1 3 0
0 1 3
1 0 0
1 1 1
3 3 0
10 2
1 0 1
2 1 2
1 4 2
1 4 5
5 5 4
3 2 3
1 5 4
0 0 4
4 0 2
0 1 4
10 9
1 5 2
4 0 0
3 5 0
0 4 5
3 1 1
5 1 1
1 2 0
2 1 2
0 4 3
5 4 5
10 4
2 0 0
2 2 1
0 2 3
3 3 0
2 2 0
2 1 3
0 3 1
0 1 2
3 1 0
3 0 3
10 6
3 1 4
5 5 0
3 4 2
2 0 4
5 3 0
2 1 5
2 5 5
2 4 2
5 5 5
3 4 1
10 4
2 2 1
1 0 2
0 0 0
0 0 2
1 2 0
0 1 2
0 1 1
2 0 0
2 1 1
1 1 1
10 5
1 0 0
2 0 0
0 1 2
0 0 1
1 2 1
0 2 1
0 1 1
1 1 0
2 0 2
0 0 0
10 2
2 0 2
1 2 0
0 0 1
1 2 1
0 2 0
0 2 2
1 0 1
0 0 2
1 1 0
0 1 0
10 2
1 1 1
1 0 0
1 0 1
2 2 1
1 2 1
1 2 0
2 1 1
0 1 0
2 0 2
2 1 0
10 3
0 0 3
1 2 0
2 2 0
1 0 1
3 0 2
2 1 1
0 0 2
3 3 2
2 3 1
2 3 3
10 4
0 1 2
2 1 0
0 0 2
0 2 0
0 0 0
0 1 0
1 0 1
1 1 1
1 2 1
2 1 2
10 4
1 0 1
2 0 2
2 1 1
2 0 0
2 1 2
2 0 1
2 2 1
1 1 2
0 1 2
0 2 1
10 8
1 3 2
3 4 2
1 1 0
4 3 0
2 2 3
2 3 0
2 1 1
4 0 1
1 1 4
3 2 2
10 5
0 1 0
0 0 2
2 4 3
4 4 0
3 1 3
1 4 0
2 3 2
4 4 4
0 4 0
4 1 4
10 8
1 2 2
1 0 1
2 1 0
2 2 1
2 2 0
2 0 1
1 2 1
1 0 0
1 1 0
2 0 0
10 5
0 4 4
4 1 0
2 0 1
1 3 1
3 3 3
1 1 4
3 4 1
3 1 2
1 3 4
2 2 4
10 3
0 2 4
5 2 4
4 4 4
1 3 5
1 2 4
4 4 1
2 4 1
1 1 4
0 2 3
5 2 1
10 8
0 1 2
0 2 0
2 1 0
2 2 1
2 2 0
1 2 1
0 2 2
0 1 1
2 0 0
1 1 2
10 6
4 0 3
4 2 4
3 4 1
2 3 4
1 1 0
1 3 1
4 3 2
2 2 4
0 2 3
3 4 0
10 6
2 3 0
1 5 2
5 5 5
5 4 4
0 3 3
0 4 2
1 2 3
2 5 1
0 1 2
0 1 4
10 4
2 0 2
0 2 0
0 1 2
0 0 1
2 1 1
1 1 2
2 1 0
2 1 2
0 1 0
1 2 0
10 2
1 4 0
0 2 2
2 3 3
2 1 0
2 1 1
1 0 2
3 4 3
5 1 2
4 1 3
1 1 1
10 4
1 0 5
3 4 4
1 2 3
3 0 1
0 1 0
4 1 2
2 3 0
0 2 3
5 0 5
1 5 0
10 6
2 2 1
1 1 0
0 2 1
0 1 0
0 0 2
1 0 2
0 1 2
2 1 2
2 2 0
0 1 1
10 2
0 1 0
0 1 1
1 0 1
2 2 2
2 1 0
0 0 2
2 0 2
1 1 2
0 1 2
0 2 0
10 5
3 1 4
3 3 4
2 3 4
4 2 2
3 4 1
1 4 1
0 2 3
3 4 3
2 0 3
4 0 4
10 4
3 2 3
3 0 1
3 1 1
0 3 3
0 3 2
1 0 1
2 3 1
1 2 3
2 1 0
2 1 2
10 3
2 5 3
5 0 3
1 3 3
0 2 1
0 5 2
0 5 1
3 3 5
4 0 2
3 4 2
2 3 1
10 3
2 1 1
1 3 0
1 1 1
0 1 0
3 3 1
2 0 2
3 3 3
0 1 2
3 2 0
1 2 3
10 5
1 0 2
3 3 0
1 2 2
0 2 0
2 0 1
1 2 0
3 1 2
2 1 0
2 0 2
1 1 0
10 2
2 3 5
2 0 0
4 4 4
4 4 0
2 0 2
5 5 0
4 0 4
3 4 1
5 5 2
0 0 3
10 9
3 1 4
3 0 2
0 3 2
1 4 3
1 2 4
3 1 3
4 0 4
3 2 1
2 4 3
0 1 1
10 6
0 3 2
3 5 2
1 3 4
2 4 0
5 5 2
2 2 0
2 2 3
3 4 2
4 3 3
1 5 3
10 8
3 3 0
1 2 1
2 3 3
1 0 3
3 2 0
2 0 2
0 2 2
2 1 2
3 1 1
2 3 2
10 9
5 0 4
2 4 0
2 2 5
5 5 4
3 5 1
5 0 3
2 5 2
3 4 3
0 3 5
1 4 4
10 8
0 0 0
0 2 0
1 0 1
2 1 2
0 0 1
2 2 2
1 0 2
1 1 0
2 0 1
1 1 2
10 3
2 5 3
4 1 0
0 3 3
4 2 0
4 4 4
1 5 1
4 2 5
2 4 0
0 3 2
4 5 4
10 8
0 2 1
2 2 2
0 0 0
0 2 0
1 0 2
2 0 2
2 2 0
0 2 2
1 2 1
1 2 0
10 5
1 2 2
0 1 2
2 2 0
0 1 0
2 2 1
1 2 1
0 0 0
0 2 1
2 1 0
2 2 2
10 9
0 1 0
1 0 0
0 1 1
2 1 1
2 0 2
1 2 0
0 2 0
2 0 1
2 2 0
1 2 1
10 7
4 1 0
1 5 0
1 5 4
1 3 1
2 4 5
1 2 4
1 3 3
0 0 2
4 5 5
4 4 0
10 6
0 3 2
2 3 2
0 2 1
2 0 1
1 1 0
2 1 1
0 3 3
3 3 3
1 3 3
1 2 0
10 9
1 0 2
1 2 0
1 2 2
0 3 0
2 0 1
3 1 2
2 1 0
1 1 3
0 2 3
3 2 1
10 9
1 2 1
0 2 0
2 2 2
1 0 2
1 0 1
0 2 1
1 1 1
0 0 1
1 2 0
1 0 0
10 5
0 5 0
1 4 4
1 1 2
2 2 2
5 5 1
5 3 5
2 3 5
0 0 5
1 5 5
4 2 3
10 6
3 3 2
5 5 0
3 3 5
2 3 0
4 4 4
2 1 0
4 4 3
1 3 0
5 4 3
1 4 3
10 2
2 4 1
5 2 2
2 3 5
1 2 5
4 5 0
0 1 4
4 4 4
3 5 4
1 5 1
2 1 3
10 3
1 1 1
2 0 2
2 0 0
3 1 2
2 2 2
2 3 3
3 2 1
0 1 0
1 1 0
3 1 3
10 2
2 3 1
3 0 2
0 0 0
0 0 3
3 2 0
2 0 0
1 1 0
1 1 2
3 3 3
2 1 1
10 3
2 2 2
2 0 2
2 1 2
2 1 1
1 1 2
1 0 2
0 1 0
1 2 2
0 0 1
1 2 0
10 4
2 1 2
4 2 4
3 0 4
1 4 3
0 4 0
1 3 3
3 2 1
1 3 4
4 1 0
0 0 0
10 6
1 0 1
2 0 2
3 0 1
2 2 1
0 2 1
3 1 2
1 1 0
3 2 3
1 2 0
3 0 2
10 5
1 2 4
3 0 1
2 4 1
1 4 2
1 1 1
3 2 1
1 1 4
3 0 5
0 1 2
0 3 1
10 9
0 0 1
0 2 0
0 0 0
1 1 0
1 0 0
1 2 2
2 0 1
2 0 2
1 0 1
0 0 2
10 6
4 1 0
3 0 2
4 3 1
0 0 5
4 4 5
1 1 3
2 0 4
5 4 4
5 3 3
5 4 3
10 6
2 0 2
0 2 2
2 1 1
2 1 2
0 2 1
0 2 0
0 1 2
0 1 1
1 1 1
0 1 0
10 5
2 0 0
3 3 1
2 3 1
0 0 0
0 1 2
3 1 2
2 3 0
3 1 1
0 0 1
2 0 3
10 3
0 0 2
0 1 1
2 0 2
2 2 1
2 1 1
1 2 2
1 0 2
1 0 0
0 0 0
0 1 2
10 8
5 0 0
4 0 2
3 1 4
2 1 3
5 4 1
2 0 2
3 1 5
5 4 0
0 4 5
1 4 2
10 2
1 2 2
0 2 1
2 1 0
2 3 1
0 2 0
1 0 1
3 1 2
3 1 3
3 2 0
0 0 3
10 5
1 1 0
2 2 0
0 0 1
0 2 1
1 2 2
0 1 0
1 1 2
0 0 2
1 2 0
2 0 2
10 4
1 3 4
0 0 0
0 0 3
0 0 2
0 1 4
3 1 4
2 1 1
3 4 1
0 4 2
2 0 4
10 4
1 2 1
1 0 3
3 0 1
1 3 3
2 3 3
3 3 1
2 2 0
0 0 0
3 1 1
0 0 3
10 8
3 1 3
4 2 0
2 2 0
5 1 5
2 0 0
0 0 0
3 3 4
3 5 5
3 0 4
0 4 0
10 7
1 3 2
2 1 1
0 0 5
3 2 0
3 0 2
4 5 1
3 1 4
4 0 3
1 3 4
5 5 5
10 8
1 3 0
3 0 0
3 3 0
2 1 3
2 3 1
3 1 3
1 2 2
2 2 2
2 3 3
1 3 1
10 8
0 3 0
2 3 0
1 3 2
2 1 2
2 2 1
2 0 0
3 1 1
1 2 1
0 1 3
1 3 0
10 8
4 3 1
0 2 2
3 3 3
2 2 3
1 1 4
1 3 4
2 3 0
0 1 3
1 3 3
2 0 1
10 2
1 0 0
2 1 1
0 1 1
1 1 2
1 2 2
1 1 1
0 0 0
0 2 2
2 0 0
0 2 1
10 2
1 3 3
3 1 0
3 4 0
4 2 0
2 1 3
5 2 5
4 0 4
3 4 1
4 0 2
3 5 5
10 8
1 0 3
4 1 4
3 4 2
2 1 0
2 0 0
0 2 4
1 2 3
1 0 4
2 4 2
0 3 1
10 5
2 0 1
1 1 1
2 2 2
1 2 2
0 1 2
0 1 1
1 0 0
0 0 1
2 0 0
2 1 0
10 3
2 2 1
2 0 0
0 0 2
1 1 1
2 1 2
2 2 2
0 1 1
0 2 0
2 0 2
0 1 2
10 6
1 1 2
3 3 1
1 4 2
2 3 3
1 4 1
2 4 3
3 1 4
4 4 2
0 3 0
2 1 0
10 6
3 1 1
4 1 0
3 5 4
2 0 0
3 4 0
0 0 1
4 1 5
2 1 4
0 4 4
1 2 0
10 3
1 2 1
2 1 1
2 0 1
1 0 1
2 1 0
2 0 0
1 0 2
1 1 2
0 0 1
1 2 2
10 3
1 1 0
1 1 1
2 0 2
0 2 2
0 0 1
0 0 2
2 2 2
0 2 0
2 0 1
2 2 1
10 9
3 0 3
1 1 1
0 2 1
3 0 2
2 1 1
1 0 0
2 3 0
1 0 1
3 0 0
3 1 2
10 6
1 3 3
1 1 1
2 2 3
0 1 1
0 0 0
0 3 2
3 3 2
2 1 1
0 3 0
0 2 3
10 9
1 0 2
0 0 2
0 1 1
2 0 2
1 0 1
2 1 2
0 2 2
1 2 1
1 2 2
2 2 1
10 6
1 1 1
4 2 0
3 0 0
3 4 4
0 2 4
0 4 3
2 3 2
2 3 3
3 1 2
2 1 3
10 4
1 2 2
2 0 3
3 3 3
1 2 3
2 2 3
1 2 1
0 3 2
0 0 1
3 1 0
0 3 1
10 2
0 0 0
0 1 2
2 0 0
2 2 2
2 0 2
0 2 0
2 1 2
2 2 1
1 2 1
0 0 1
10 4
5 2 0
3 5 1
0 0 3
1 4 0
5 1 0
4 1 2
2 4 0
3 2 1
2 5 0
4 2 4
10 8
1 3 1
2 2 0
3 1 3
3 2 0
0 2 2
0 0 3
2 0 1
1 3 0
1 2 1
1 3 2
10 9
1 0 0
2 1 2
0 2 2
1 0 1
2 0 1
1 1 2
0 2 0
1 1 0
2 1 0
1 0 2
10 6
0 0 1
5 5 3
5 2 5
0 3 1
5 2 3
1 0 0
1 3 0
4 3 1
0 1 1
1 3 5
10 9
1 3 4
1 4 3
2 3 2
4 1 0
0 4 4
4 2 1
1 3 1
2 0 3
0 1 4
2 3 0
10 3
1 1 2
2 2 0
2 1 1
2 0 0
0 0 0
1 1 0
0 0 1
1 0 1
0 1 2
2 2 1
10 7
3 0 1
3 0 2
3 3 2
3 1 3
2 3 3
2 3 0
3 3 3
1 3 0
1 1 1
1 1 2
10 8
0 4 0
1 1 1
3 3 1
0 2 0
3 2 4
4 2 3
2 0 3
1 4 3
2 3 0
2 4 4
10 8
4 4 1
2 4 3
4 4 2
2 3 2
2 0 4
2 2 0
3 0 1
4 3 4
3 2 3
1 0 3
10 8
2 1 2
0 1 1
1 1 1
0 2 2
2 0 1
2 2 2
1 1 2
0 0 0
1 2 2
2 2 0
10 3
2 2 2
3 1 1
1 3 1
0 3 2
1 2 2
3 0 1
1 1 3
2 1 3
2 3 2
3 1 2
10 5
2 2 1
0 1 2
1 0 1
1 2 0
1 1 2
1 0 2
0 1 0
1 1 0
0 0 1
2 2 2
10 2
5 5 3
4 3 2
2 1 1
1 0 0
2 1 0
1 4 3
2 0 1
2 5 3
0 2 1
4 0 4
10 9
1 3 1
1 1 3
1 0 2
2 0 0
2 0 3
0 1 3
1 1 1
3 0 2
0 0 3
3 2 1
10 8
3 0 3
2 0 0
1 1 2
2 3 3
1 2 0
1 3 2
0 2 0
1 0 1
2 1 1
3 3 0
10 6
2 0 0
0 1 1
1 2 0
0 2 2
1 0 0
2 2 2
0 1 2
0 1 0
2 2 1
2 0 2
10 9
1 2 0
0 0 0
2 2 2
2 0 2
1 1 0
2 1 0
1 2 2
0 1 1
0 0 2
0 2 0
10 9
3 1 2
3 3 2
2 2 1
1 0 2
2 2 5
4 1 5
0 1 3
4 4 5
0 4 0
0 3 0
10 6
0 4 1
4 1 3
3 3 1
1 3 2
0 3 0
0 1 3
1 2 3
0 2 4
0 3 3
1 4 2
10 6
0 2 3
2 3 2
1 2 3
0 4 2
2 1 2
3 0 2
2 0 3
0 0 0
3 3 0
1 1 4
10 2
3 3 3
0 3 2
0 3 3
1 3 2
3 0 3
2 2 1
0 2 3
2 1 1
3 2 0
2 2 3
10 8
1 1 0
1 0 1
0 0 1
2 1 1
0 1 0
1 2 1
2 0 2
2 2 0
0 2 0
0 0 2
10 3
2 1 2
5 3 0
0 0 5
4 2 5
3 4 2
5 0 1
3 1 1
2 0 2
2 4 3
5 2 1
10 4
0 4 4
2 0 4
4 1 2
3 3 0
0 2 0
1 0 0
3 1 0
1 3 4
1 1 1
2 1 0
10 5
1 1 3
4 5 1
4 1 5
5 1 2
4 4 3
4 1 0
5 3 3
5 3 5
1 2 3
5 2 1
10 2
0 2 0
0 2 1
1 1 0
1 2 0
0 1 0
2 2 2
0 0 2
1 0 2
0 1 2
2 1 1
10 5
0 1 0
2 1 0
2 0 0
1 2 0
2 0 1
1 2 2
1 0 0
1 2 1
2 2 0
1 0 1
10 5
1 0 0
2 0 1
2 2 2
2 2 1
0 2 2
1 1 0
1 1 2
2 0 2
0 2 0
1 0 1
10 9
2 3 0
1 2 3
2 3 3
1 2 0
3 1 1
1 2 1
2 0 1
1 0 0
0 1 3
2 2 2
10 3
0 2 2
0 3 1
1 1 1
0 1 3
3 2 1
0 2 0
3 3 1
3 0 2
0 1 2
1 3 0
10 9
2 3 1
0 0 1
1 0 1
3 3 3
3 2 1
1 1 1
2 2 3
2 2 2
3 1 1
0 1 0
10 4
1 2 0
2 2 1
3 1 1
0 3 0
1 2 1
2 0 0
2 3 2
0 0 2
2 1 0
3 0 3
10 4
2 4 1
4 0 3
3 1 0
4 4 0
4 4 1
4 1 1
0 1 4
3 0 2
4 3 1
3 4 3
10 8
5 3 0
3 1 0
4 3 1
5 3 1
4 5 0
3 1 3
5 2 2
5 5 5
3 1 5
1 3 4
10 5
4 1 3
4 4 1
0 1 2
1 1 2
5 2 1
1 1 4
0 5 1
3 1 4
3 2 2
4 2 4
10 7
1 1 0
4 3 5
1 1 3
3 3 2
4 1 4
3 1 4
2 5 3
3 4 0
5 5 4
3 3 3
10 9
0 1 2
0 3 3
5 0 4
5 1 1
5 2 4
4 2 0
5 3 1
2 3 0
2 4 2
5 3 3
10 6
2 2 3
4 5 5
1 1 1
3 2 1
1 2 0
2 0 4
5 0 5
1 4 1
0 0 4
3 1 5
10 7
4 1 4
3 0 3
2 3 4
2 2 2
1 4 2
4 2 1
1 1 2
0 1 3
3 1 4
4 3 3
10 3
1 3 4
1 4 1
0 1 2
0 1 3
2 4 4
1 2 4
2 1 2
2 3 4
4 0 4
2 2 2
10 7
0 3 1
4 3 4
4 0 4
3 3 3
0 2 3
4 3 3
1 3 0
2 4 4
3 3 4
1 2 2
10 2
0 3 3
0 2 2
1 5 3
0 3 1
4 0 1
0 0 2
0 2 0
4 0 2
2 4 1
5 0 4
10 6
0 2 0
0 1 0
1 4 3
3 2 2
4 3 3
4 0 3
2 0 2
0 1 3
1 1 1
3 2 0
10 6
0 2 3
3 2 1
3 1 3
0 1 0
1 0 3
2 0 0
3 2 0
1 3 2
0 3 2
1 2 2
10 8
0 3 2
1 2 3
1 2 4
0 2 0
3 3 4
2 3 4
4 3 2
3 2 2
1 3 1
1 2 2
10 8
5 1 5
0 3 0
1 3 4
3 2 5
5 5 3
2 5 4
0 4 3
3 1 3
4 5 5
1 3 5
10 9
0 0 4
4 3 1
0 0 0
1 0 4
3 5 2
4 2 0
4 0 3
0 3 5
2 1 2
4 0 4
10 5
0 0 0
2 0 1
1 2 1
0 2 1
2 2 1
0 0 1
1 0 2
2 0 2
1 2 0
2 1 2
10 9
0 1 5
5 0 0
5 0 1
4 2 5
1 3 2
4 5 4
2 2 5
3 1 4
3 4 0
4 5 5
10 8
3 5 2
1 4 2
3 5 1
1 0 1
4 4 3
1 3 3
4 3 3
5 5 2
2 2 3
3 2 3
10 3
2 1 2
3 1 0
0 2 3
0 3 3
1 2 2
0 1 1
0 0 2
3 2 0
1 2 3
3 0 1
10 3
0 2 2
1 1 2
1 2 2
0 0 1
2 0 2
0 2 0
2 2 0
0 2 1
2 0 0
1 0 1
10 8
3 0 4
2 1 3
3 3 1
2 2 0
0 1 2
3 4 0
2 1 2
3 1 1
1 2 4
2 2 1
10 2
1 2 0
2 1 1
1 1 2
2 2 1
0 1 0
1 1 0
1 0 2
2 2 2
2 1 2
1 2 2
10 9
0 0 4
3 1 2
4 0 4
0 2 3
3 0 4
1 3 3
3 3 0
3 0 3
1 0 4
2 2 3
10 8
1 5 0
5 4 3
5 0 4
0 3 1
1 1 2
4 0 3
1 2 3
4 1 4
4 4 4
5 3 4
10 6
0 3 1
0 1 0
0 1 3
3 0 2
1 1 1
0 2 2
2 2 2
0 0 3
2 1 0
0 2 0
10 8
5 5 3
5 3 5
2 0 4
1 0 1
1 1 1
1 1 5
5 3 2
5 2 4
4 1 5
2 5 4
10 7
2 1 2
0 2 1
3 3 1
0 1 0
4 4 2
3 2 1
0 4 4
1 1 1
0 0 0
0 0 3
10 5
4 1 1
1 3 0
0 3 2
3 4 0
0 3 1
0 3 4
0 2 2
2 3 4
2 1 2
4 2 0
10 5
4 1 1
2 3 0
1 0 0
2 4 0
2 0 2
1 4 3
0 1 2
1 2 0
2 1 1
1 3 2
10 5
0 2 1
3 1 0
0 0 4
2 4 1
3 0 3
3 3 3
3 4 1
0 2 3
2 0 3
3 1 2
10 8
1 2 2
1 1 1
1 1 2
1 0 0
0 1 1
1 0 2
2 1 0
0 0 0
0 0 1
1 2 0
10 4
2 1 2
2 1 0
0 1 1
1 2 2
0 2 1
2 2 1
0 0 1
1 0 0
0 2 2
1 2 0
10 9
2 2 1
1 1 0
1 2 1
0 0 1
1 0 2
1 2 2
1 0 0
2 2 2
0 0 0
2 0 1
10 5
4 5 5
4 0 5
4 0 0
4 1 1
5 4 0
4 1 2
3 5 0
0 0 1
0 5 5
3 3 3
10 9
1 5 2
5 2 2
5 0 4
2 4 0
1 5 1
5 3 2
4 1 0
1 0 3
3 3 1
5 0 3
10 8
0 5 4
5 5 0
4 0 1
2 2 4
0 0 0
0 2 5
0 4 3
4 4 3
1 2 0
3 2 3
10 4
0 1 0
0 1 1
1 1 1
1 1 2
2 0 1
0 2 0
1 0 1
2 1 2
0 0 1
0 0 2
10 7
0 2 2
0 0 2
2 2 1
1 1 0
2 2 2
2 0 0
1 2 1
2 1 2
0 2 1
2 0 1
10 4
5 5 1
3 4 0
2 3 0
5 0 1
2 0 2
0 4 2
3 2 3
1 0 2
2 5 2
1 4 3
10 7
5 4 1
1 1 5
5 4 3
3 5 1
3 4 3
1 4 1
4 1 4
4 4 5
2 3 2
1 0 3
10 3
1 1 1
0 2 0
1 1 0
0 0 1
2 0 0
1 0 1
0 0 2
1 0 0
2 1 2
1 2 2
10 5
2 1 2
1 2 1
2 2 2
0 1 1
0 0 2
0 1 0
1 1 2
1 0 2
2 1 1
1 1 0
10 9
0 3 2
0 1 0
0 2 2
3 1 3
3 0 1
3 1 1
2 0 3
2 2 1
3 0 0
3 1 0
10 9
2 2 2
2 1 2
1 0 1
1 0 2
1 2 1
2 0 1
2 0 0
1 1 2
1 2 0
0 1 2
10 6
5 1 3
1 1 5
1 3 1
4 4 4
0 4 4
0 0 5
0 2 2
3 0 4
1 4 3
2 3 2
10 3
0 1 2
0 3 2
2 2 1
3 4 0
0 2 4
2 1 0
1 2 4
1 4 3
2 0 3
1 3 4
10 6
5 4 0
0 3 1
2 0 3
3 0 1
4 0 4
2 1 4
0 4 1
5 1 0
1 0 1
4 0 5
10 6
4 5 0
3 1 3
5 2 1
5 1 1
4 5 1
4 4 2
4 2 1
0 2 3
2 5 1
0 1 1
10 8
0 3 1
1 4 4
1 1 0
4 3 3
4 0 0
2 3 4
3 2 4
4 3 1
2 2 0
2 3 2
10 6
0 1 0
0 1 1
1 3 2
1 1 0
1 1 3
3 0 1
0 0 0
1 1 1
1 0 2
1 2 2
10 2
2 0 0
0 0 2
0 2 1
0 2 0
2 1 0
0 1 2
1 2 2
1 0 0
1 1 1
1 0 2
10 3
1 3 4
0 3 0
2 0 0
4 1 4
4 2 4
4 3 4
1 4 4
0 1 1
3 0 4
0 4 1
10 7
2 0 2
1 0 0
0 1 0
2 2 1
1 1 1
1 0 1
0 1 1
1 2 0
2 1 0
2 1 2
10 6
5 4 0
5 5 3
2 2 3
4 3 1
0 3 5
1 4 2
5 5 5
0 4 3
4 2 3
5 0 1
10 3
1 2 2
2 2 1
0 1 0
2 1 2
0 0 1
2 0 2
0 0 0
1 0 0
0 2 0
1 2 0
10 4
3 3 1
1 1 2
1 5 1
5 2 1
5 4 2
4 3 4
3 4 2
0 3 5
4 2 4
0 2 1
10 4
0 1 3
3 3 3
3 2 3
0 1 2
3 3 1
0 3 3
2 0 0
1 1 3
2 0 3
1 2 3
10 5
0 1 1
2 0 1
1 1 0
0 2 0
2 1 2
1 0 2
0 2 1
1 2 0
2 1 0
0 0 1
10 4
2 2 1
0 0 1
0 1 2
1 1 1
0 2 2
1 2 2
0 2 1
2 2 0
0 1 1
1 1 0
10 9
3 2 2
4 4 0
4 3 1
2 0 3
2 4 4
5 0 2
1 5 5
4 3 0
4 3 2
3 5 1
10 2
2 1 0
0 1 2
4 4 3
0 3 4
3 1 2
0 0 0
1 4 1
2 1 4
2 2 5
5 0 2
10 8
2 0 0
0 0 2
2 1 0
1 0 0
1 0 1
2 2 0
1 1 2
2 0 1
0 0 0
2 2 2
10 9
0 0 1
1 1 1
0 1 2
1 2 2
2 2 1
2 0 0
1 1 0
2 1 2
1 2 0
0 1 0
10 4
3 0 2
3 4 1
3 3 2
4 2 0
4 4 1
3 3 0
1 0 1
4 2 4
2 2 2
4 4 4
10 4
1 0 0
1 0 1
2 0 0
1 1 1
2 1 0
2 1 2
2 0 1
0 2 1
0 1 1
2 1 1
10 6
0 2 2
1 2 2
0 0 0
2 2 1
2 2 0
1 0 2
2 2 2
0 1 2
1 2 1
0 2 0
10 4
3 0 0
2 2 2
0 0 1
1 1 1
0 1 0
2 3 2
2 1 2
1 3 0
0 3 0
1 1 0
10 2
0 2 2
0 2 0
2 2 0
2 1 1
1 2 1
0 0 2
1 0 0
1 1 2
0 2 1
1 1 1
10 2
1 1 2
4 0 4
1 1 0
3 0 2
0 3 1
2 4 3
3 2 4
3 0 4
1 4 3
2 4 1
10 4
3 4 0
1 1 2
4 2 0
2 4 1
0 1 1
3 2 1
0 3 2
1 2 3
2 1 0
4 4 3
10 5
3 4 0
1 4 3
2 4 3
2 1 4
4 1 3
4 0 1
0 4 0
0 1 0
4 4 3
0 1 1
10 3
2 2 2
0 1 2
2 1 1
0 1 1
0 0 2
1 2 1
1 1 2
0 0 1
2 2 1
1 0 2
10 7
5 2 0
4 1 3
1 4 5
0 1 4
2 2 5
2 1 3
4 1 5
5 3 0
0 4 3
0 3 3
10 2
0 4 4
3 0 1
3 3 1
3 0 4
1 4 0
2 2 2
4 0 4
0 3 0
4 1 2
3 2 1
10 3
4 4 0
0 1 1
3 2 3
3 2 1
4 1 3
4 3 2
3 2 2
1 2 0
0 2 3
2 3 3
10 2
0 0 0
1 2 1
2 2 2
0 2 0
0 0 2
1 0 1
2 0 2
1 0 0
0 2 1
2 1 2
10 6
0 2 0
5 1 3
2 3 1
1 2 4
4 5 0
3 3 2
5 4 0
2 1 2
0 2 2
0 3 5
10 9
1 2 5
4 1 0
1 4 3
1 3 1
4 1 3
1 4 0
3 2 2
2 1 0
1 0 0
5 4 2
10 7
0 2 4
3 2 1
5 4 3
1 4 0
1 5 2
4 5 0
4 1 2
1 2 3
2 5 1
1 1 1
10 8
0 1 1
0 2 1
2 2 1
2 0 1
2 1 2
0 1 0
2 2 2
2 0 0
1 1 2
1 2 2
10 2
0 2 1
0 0 2
2 0 0
1 2 0
2 3 0
1 3 1
2 2 1
3 3 3
3 3 1
1 0 0
10 3
0 2 1
2 2 0
0 0 3
0 1 2
3 0 2
2 3 3
2 2 3
3 1 3
3 0 0
3 2 3
10 7
0 2 2
1 1 0
0 1 2
2 2 2
0 0 1
1 2 1
1 1 2
0 1 0
2 0 1
2 1 2
10 5
4 3 1
1 4 3
0 0 4
2 4 2
2 1 2
0 1 4
4 1 4
1 0 0
3 4 4
3 2 0
10 3
3 2 1
0 2 0
3 0 0
2 3 0
3 2 0
1 0 3
2 0 2
3 2 3
1 1 3
1 2 0
10 2
3 2 2
3 3 3
1 3 2
2 1 2
1 0 2
0 3 0
3 1 0
1 0 0
1 0 3
3 0 1
10 9
3 0 3
2 3 3
3 0 2
2 3 1
3 2 0
1 0 2
0 1 2
1 3 2
1 2 0
1 0 3
10 4
2 1 1
0 1 0
0 0 0
0 0 2
0 0 1
0 1 1
0 2 1
2 2 1
1 1 2
1 1 0
10 4
1 4 0
2 3 5
4 2 1
0 3 3
0 5 1
4 2 2
2 1 3
1 5 0
4 1 4
1 4 5
10 5
0 0 2
1 0 0
0 4 2
1 2 4
4 0 2
2 1 2
2 0 3
2 1 4
4 0 1
1 2 2
10 2
2 0 2
5 5 1
4 5 0
0 4 1
5 2 3
2 5 5
4 5 4
1 2 3
2 4 0
3 5 4
10 5
3 2 1
3 0 2
2 2 3
1 1 3
1 0 1
1 0 3
3 1 1
0 0 0
3 0 0
0 3 1
10 3
1 2 1
2 0 0
3 3 2
2 3 0
3 3 1
3 2 0
1 2 3
3 2 1
0 2 3
3 0 0
10 5
1 3 3
3 1 0
2 2 0
2 2 2
2 1 0
3 0 3
2 3 3
0 0 2
2 0 0
2 3 1
10 2
0 1 3
1 0 3
3 3 3
5 0 0
4 0 1
0 1 1
5 0 3
4 3 1
0 1 5
0 1 0
10 6
2 1 3
1 1 2
1 0 0
0 1 0
2 1 2
0 3 2
0 1 1
1 2 0
1 1 3
3 3 2
10 9
1 1 2
0 0 2
0 0 0
1 2 1
0 1 1
0 2 0
1 0 0
2 0 1
1 2 2
0 1 0
10 3
3 4 0
0 5 2
0 5 5
3 5 4
0 5 0
2 3 1
1 4 3
4 0 2
3 1 1
1 1 3
10 8
3 5 2
0 3 0
2 5 2
5 2 4
0 2 4
2 4 4
1 2 2
1 4 5
3 0 0
5 3 4
10 7
4 2 0
2 2 3
2 2 1
2 4 4
1 2 2
1 1 2
4 0 0
0 3 2
4 4 2
2 3 1
10 4
3 3 0
3 3 3
1 2 3
2 0 3
0 3 2
3 3 1
3 1 1
0 0 1
0 2 3
0 1 3
10 7
0 3 3
2 4 3
1 4 1
1 4 0
2 0 2
3 1 4
2 0 4
0 3 1
3 2 2
1 2 2
10 4
1 1 2
1 3 0
3 2 2
2 3 1
0 2 4
2 2 5
1 1 3
4 3 4
1 4 0
5 2 1
10 2
2 1 1
1 2 3
2 3 1
3 2 2
2 1 3
3 1 0
1 3 0
1 1 2
3 3 3
0 0 1
10 2
3 1 2
3 3 1
3 0 2
0 3 2
0 1 2
1 2 2
1 2 0
3 0 0
2 0 1
2 1 2
10 2
0 5 0
4 1 1
2 2 2
4 4 5
1 0 5
5 1 5
0 2 0
1 3 4
5 2 4
0 0 2
10 3
2 0 2
1 3 1
0 3 1
1 2 1
0 0 3
2 1 2
3 2 2
2 3 2
3 0 1
2 2 0
10 2
0 0 1
2 1 2
2 0 3
2 1 4
2 4 2
0 1 4
4 1 2
0 4 4
4 2 3
4 2 1
10 7
0 3 3
3 0 2
3 2 3
3 3 0
1 0 2
0 2 2
3 3 1
1 3 3
1 2 0
1 2 1
10 9
2 1 0
2 3 3
2 0 0
0 0 0
3 2 3
0 0 2
0 1 0
1 0 3
2 1 2
1 1 2
10 2
2 4 5
4 5 2
0 5 1
1 2 2
0 2 4
3 4 4
3 0 1
0 4 4
4 1 0
5 2 1
10 3
1 0 0
5 0 4
3 0 3
3 1 4
0 4 2
5 3 4
2 0 4
0 1 0
1 5 4
1 1 2
10 3
1 3 0
0 1 3
2 1 1
3 3 2
0 2 0
3 0 3
1 0 3
1 2 2
2 2 2
2 2 3
10 3
0 3 3
2 0 0
2 1 3
3 2 0
3 3 3
0 1 3
3 1 2
3 2 2
1 2 2
0 3 1
10 2
2 3 3
4 3 3
4 2 0
5 1 5
5 3 4
3 2 1
1 2 5
4 0 1
2 4 1
1 4 2
10 5
1 0 2
2 0 2
2 1 0
2 2 0
1 2 2
0 1 1
2 2 1
0 0 2
1 1 0
0 1 2
10 3
2 2 3
1 2 0
3 4 3
3 4 0
5 5 3
1 1 2
2 5 4
2 3 2
5 4 3
5 1 4
10 5
1 2 3
3 4 1
0 4 4
0 3 0
2 2 4
1 0 3
1 4 3
1 0 0
4 4 2
3 0 3
10 7
3 2 3
2 0 4
2 0 2
4 5 1
3 5 0
4 1 1
2 2 2
4 3 3
2 5 2
0 3 3
10 3
1 1 3
3 3 0
2 1 1
4 4 1
1 1 1
4 4 0
1 3 1
3 2 1
3 0 1
1 2 1
10 6
0 0 2
1 0 2
2 1 1
2 2 1
0 1 0
2 0 1
1 0 1
0 0 1
1 1 2
1 2 1
10 6
1 4 5
4 2 2
0 3 2
5 5 4
4 3 5
1 1 0
4 3 4
0 3 0
4 2 3
2 2 0
10 7
1 3 0
2 0 3
1 3 1
0 0 1
1 2 1
2 0 1
0 2 1
0 1 3
1 1 0
3 1 1
10 6
4 1 3
1 0 0
5 5 0
1 2 2
3 0 3
4 3 1
0 2 0
4 0 3
4 0 1
1 1 0
10 2
2 0 0
0 1 1
2 2 1
1 2 0
0 0 0
2 0 2
1 0 3
1 2 1
3 3 0
0 0 3
10 7
1 3 1
4 0 2
2 4 1
0 2 1
3 3 1
3 5 0
3 4 5
3 3 5
2 3 0
1 1 0
10 4
2 4 1
0 2 0
2 1 4
0 4 1
4 2 1
1 2 1
0 0 1
1 1 4
2 0 2
3 4 4
10 6
4 4 5
3 5 5
2 0 2
5 0 3
2 2 4
0 0 5
2 3 1
5 1 1
2 2 5
1 2 1
10 4
3 0 0
2 0 5
0 2 2
5 2 3
4 2 1
1 4 4
3 3 4
3 2 0
1 2 1
4 0 0
10 4
0 3 3
0 0 1
1 2 2
1 1 1
2 3 3
0 3 1
2 2 2
3 1 1
1 0 0
2 0 3
10 9
1 2 1
0 2 0
3 3 1
3 0 3
1 2 3
3 1 3
3 0 2
1 3 3
0 2 2
1 3 2
10 7
0 2 1
2 1 4
0 3 2
2 4 1
3 3 3
2 0 0
4 2 3
2 3 1
1 4 3
3 1 2
10 6
1 2 0
0 2 1
3 3 2
1 2 2
2 0 0
0 0 0
3 0 1
1 2 3
0 1 3
1 0 3
10 5
2 0 2
0 1 0
2 2 0
0 2 0
0 0 2
1 0 0
1 2 2
1 1 0
0 2 2
2 1 1
10 6
0 2 1
0 2 0
0 0 2
2 0 0
0 1 0
0 0 1
2 0 1
2 1 0
2 2 2
2 2 1
10 5
1 1 2
3 1 3
1 0 1
2 0 1
3 2 2
1 0 3
3 2 3
0 0 2
0 0 0
3 2 1
10 3
2 2 2
1 2 2
0 1 0
2 1 2
0 0 1
1 1 1
0 0 0
2 0 1
2 1 0
1 1 0
10 7
0 2 2
2 4 1
1 0 4
4 1 3
2 0 2
1 0 2
2 2 1
2 2 4
2 1 2
2 1 0
10 4
2 0 2
1 2 3
0 2 0
2 1 0
3 0 1
0 3 0
2 1 3
0 1 0
0 2 1
2 3 1
10 8
1 0 2
2 1 0
0 1 1
2 2 1
0 0 1
2 2 0
0 0 0
2 1 2
1 0 0
1 0 1
10 7
2 0 2
0 4 3
4 0 4
4 5 0
0 1 4
3 0 4
2 3 0
5 1 5
5 3 2
0 4 5
10 2
0 1 0
0 0 2
4 4 4
1 3 4
2 1 0
1 1 1
3 1 4
4 3 3
5 0 1
5 3 5
10 8
1 3 2
4 3 3
0 1 5
3 1 4
5 3 2
0 5 5
0 4 1
4 0 4
3 5 4
4 5 5
10 6
2 2 2
1 0 3
3 3 2
1 2 0
2 0 1
0 1 2
1 0 1
3 1 2
1 2 3
0 0 1
10 7
2 0 1
2 1 0
1 1 2
0 3 2
2 2 3
1 0 1
0 3 1
0 2 1
2 1 2
1 2 0
10 4
3 5 4
4 3 5
1 1 2
4 1 2
1 0 3
0 4 1
3 3 3
4 2 3
5 3 3
2 1 5
10 5
4 3 4
4 2 1
2 0 1
0 1 0
4 3 1
0 2 2
2 2 3
3 3 3
4 1 3
4 0 3
10 7
1 0 0
1 1 0
1 0 1
0 2 2
0 1 0
0 0 2
2 1 0
1 1 2
1 0 2
0 0 1
10 5
2 2 0
0 3 3
0 2 2
0 1 2
3 3 0
1 1 0
2 3 1
3 2 3
0 0 1
1 0 1
10 4
0 2 2
2 0 3
1 1 2
0 2 1
0 1 2
3 2 3
0 0 0
1 0 0
3 0 3
0 1 1
10 8
0 1 2
2 0 0
2 2 2
1 0 3
0 0 1
0 1 0
3 3 2
2 1 1
3 0 0
2 1 3
10 7
2 1 0
3 2 2
1 3 2
3 3 1
3 1 0
3 1 1
0 3 3
2 3 1
3 0 2
2 2 1
10 6
2 3 3
3 0 1
2 0 0
2 2 1
0 0 1
0 3 1
2 2 0
1 3 0
0 0 3
3 3 0
10 8
1 0 5
0 2 3
2 3 1
1 5 2
0 4 1
0 3 3
3 4 2
1 2 2
1 1 2
5 5 0
10 2
3 1 3
2 2 0
0 1 0
2 2 1
1 3 2
0 2 3
3 1 0
1 1 2
3 0 3
0 3 2
10 8
3 2 0
2 0 3
3 1 3
0 1 2
1 2 1
3 1 1
2 3 1
2 1 2
3 0 2
1 2 3
10 3
0 3 2
2 2 3
5 4 4
2 2 1
4 5 5
1 3 2
5 0 5
5 5 5
2 4 2
2 2 4
10 9
0 1 1
0 2 0
1 1 2
1 2 1
0 0 1
1 1 0
0 1 2
1 1 1
0 2 2
2 1 0
10 3
0 0 0
1 1 1
2 1 1
1 2 2
2 2 2
1 2 0
2 1 2
1 0 0
2 0 0
0 0 2
10 3
1 2 2
2 3 0
0 3 2
2 1 3
0 2 3
1 1 3
3 2 2
3 0 2
3 2 0
2 2 1
10 9
1 1 0
0 2 1
1 0 2
1 0 1
0 2 0
1 0 0
1 2 1
2 1 1
2 2 0
0 0 0
10 4
5 5 0
3 3 0
4 5 1
4 5 5
5 5 5
1 4 0
3 4 4
1 2 5
3 0 3
5 3 0
10 8
4 2 4
1 4 3
3 4 4
0 4 2
4 0 2
3 4 1
4 4 0
1 0 0
3 2 2
1 0 4
10 2
1 1 1
5 4 5
0 1 0
4 1 3
4 5 2
4 2 1
0 1 2
3 2 5
5 2 3
5 3 2
10 3
0 3 1
0 4 0
2 3 2
3 2 2
1 1 2
2 3 0
4 3 1
0 0 3
2 0 1
3 4 0
10 7
2 4 1
0 2 2
2 4 2
2 4 3
3 3 4
2 0 1
4 4 1
3 0 2
4 3 0
0 3 4
10 5
1 3 1
2 2 0
2 0 4
3 5 5
1 0 0
4 5 3
2 3 2
4 2 0
5 0 2
4 0 1
10 7
1 0 0
0 3 1
1 0 2
0 2 1
1 0 1
3 3 2
1 3 2
3 2 1
2 3 3
0 2 0
10 4
2 2 2
0 5 4
1 2 3
0 5 1
5 1 5
4 5 5
1 4 4
0 0 4
4 0 3
4 5 1
10 9
1 2 0
0 1 2
0 0 1
1 1 0
1 1 1
0 1 1
0 1 0
0 0 2
0 0 0
0 2 0
10 7
2 1 3
2 3 3
1 3 3
2 1 2
1 1 0
0 2 3
1 0 3
0 3 2
1 3 1
0 1 3
10 9
1 3 3
0 1 1
3 3 3
2 3 0
0 0 3
1 1 2
0 1 2
2 1 0
3 3 1
0 3 1
10 8
2 2 3
0 0 3
1 3 3
2 0 2
2 1 3
3 2 1
2 2 2
3 1 2
1 2 0
3 1 0
10 6
0 1 2
0 2 1
2 2 0
1 0 0
2 1 2
0 2 2
2 0 0
0 0 0
1 2 0
2 0 2
10 7
2 2 0
1 2 2
2 0 0
2 1 0
1 1 2
1 2 0
2 0 1
1 1 1
1 1 0
1 2 1
10 6
4 5 3
2 4 5
3 0 2
2 5 3
4 5 0
3 5 2
2 0 4
0 4 4
1 3 5
2 1 5
10 9
4 3 3
0 3 2
5 5 0
4 0 4
2 4 0
0 2 0
3 1 1
0 0 1
4 4 1
4 4 4
10 2
4 1 0
1 4 4
0 4 5
0 2 3
2 5 0
4 4 4
0 1 3
1 0 5
5 3 5
2 5 3
10 4
1 2 1
2 2 0
0 2 1
1 0 2
0 1 0
2 0 2
0 1 2
0 0 1
1 1 1
2 1 1
10 7
0 5 0
2 1 5
2 3 2
5 0 5
1 1 5
1 5 2
4 2 0
5 1 5
3 0 2
2 2 4
10 7
5 0 2
0 1 0
0 0 5
0 3 0
4 0 4
2 2 2
5 1 4
2 2 3
3 1 1
4 0 1
10 2
4 1 3
0 4 0
2 0 1
3 4 2
1 0 1
4 4 1
3 1 1
0 1 0
1 4 4
1 3 3
10 7
0 1 1
3 2 0
1 2 1
2 1 0
3 3 3
2 3 3
3 1 3
0 0 3
1 2 3
2 3 0
10 3
1 2 2
2 0 2
2 2 1
2 2 2
0 0 1
2 0 1
1 0 2
1 1 1
1 0 0
2 1 1
10 3
1 2 1
1 0 3
0 1 3
1 3 2
3 1 0
3 2 2
2 0 0
0 3 1
1 1 0
1 1 3
10 9
2 3 0
4 0 1
0 1 3
4 3 3
4 1 1
4 1 4
0 4 1
3 4 0
0 1 0
1 4 2
10 5
3 2 1
0 3 3
0 0 1
1 2 3
1 3 0
2 2 2
0 0 3
1 1 3
2 2 0
0 1 0
10 9
1 2 2
3 0 3
1 0 2
4 3 2
0 2 4
4 4 2
2 3 4
4 1 2
3 0 2
1 4 1
10 2
1 3 0
2 2 2
2 2 1
2 3 2
3 2 0
1 0 3
3 0 1
1 1 2
2 1 3
3 1 0
10 6
2 2 1
2 3 2
1 4 5
4 0 4
0 5 2
0 0 4
4 3 1
1 1 2
3 4 4
3 1 4
10 9
4 2 0
2 0 4
1 4 0
1 2 1
3 3 3
3 1 2
1 2 0
2 3 0
4 3 2
2 0 1
10 8
2 0 1
2 1 0
0 2 1
2 2 2
0 1 2
1 2 2
0 1 0
0 0 1
2 2 1
0 0 0
10 3
2 0 2
2 2 3
0 3 2
3 1 2
0 3 1
3 5 3
4 1 1
0 4 2
1 0 4
2 4 5
10 9
0 1 0
1 0 1
1 0 2
2 2 2
0 0 1
0 2 0
0 0 2
2 1 2
0 1 2
2 1 0
10 7
1 1 2
0 1 2
2 1 2
2 2 2
0 0 1
1 1 0
1 0 1
2 0 2
1 0 2
0 2 2
10 6
0 0 2
3 0 0
1 2 0
2 1 2
1 3 1
0 0 4
2 1 1
0 2 1
2 0 4
0 0 0
10 5
4 1 2
4 4 1
3 3 1
4 1 3
3 0 1
3 1 3
2 3 2
0 1 2
3 2 2
0 3 3
10 5
1 1 2
1 2 1
1 3 1
2 3 0
2 0 2
3 1 2
3 3 0
3 2 2
2 3 2
0 3 0
10 9
2 1 0
2 0 3
3 2 2
2 3 2
2 1 1
0 2 0
2 1 3
1 2 3
0 1 0
0 2 2
10 9
3 0 0
0 1 2
1 3 1
0 0 0
0 2 0
2 0 0
0 2 1
2 2 2
0 3 1
2 3 0
10 5
0 1 1
2 4 2
3 4 4
4 2 0
4 3 3
5 2 0
5 4 0
2 3 4
1 0 0
5 5 3
10 8
1 3 0
0 2 4
0 0 0
2 4 0
3 3 0
2 2 4
0 3 2
4 3 4
3 0 4
3 2 3
10 8
3 2 1
1 0 2
3 2 3
1 3 2
3 0 2
2 3 3
2 3 0
0 1 2
3 0 1
0 3 0
10 5
0 2 4
4 2 2
0 4 4
3 3 0
3 2 4
0 2 3
4 4 0
2 1 3
4 3 3
0 1 4
10 5
0 4 1
3 1 1
0 2 4
1 4 1
3 2 5
5 0 2
1 0 0
3 4 0
4 4 1
2 3 1
10 7
2 5 1
3 3 4
2 3 4
1 0 0
5 2 5
0 4 2
4 3 5
1 3 3
2 1 5
4 5 4
10 7
0 1 0
3 3 1
1 0 1
0 3 1
1 1 2
2 1 2
1 0 3
0 3 2
0 3 0
1 2 2
10 7
3 1 1
2 3 2
0 0 3
3 3 2
3 0 1
1 2 2
3 0 0
1 3 1
0 2 1
0 1 0
10 4
5 4 5
5 5 0
2 0 1
0 5 5
2 2 5
1 3 2
3 0 1
4 4 3
4 3 4
3 4 5
10 7
3 2 2
3 1 1
0 1 3
0 3 2
2 3 3
2 1 2
3 1 3
2 1 0
2 0 3
0 1 2
10 4
0 2 1
3 2 0
4 0 3
4 4 3
0 1 2
2 0 3
2 4 4
2 1 2
1 4 0
2 4 3
10 3
0 0 0
4 0 3
4 4 0
3 0 4
2 3 4
0 2 1
4 2 2
1 0 2
1 4 0
3 1 1
10 6
2 1 2
1 2 2
0 1 1
0 1 0
0 2 1
2 0 2
2 2 1
0 0 2
2 1 1
1 1 1
10 5
3 1 5
3 3 0
1 2 1
3 2 1
4 5 0
3 3 3
5 5 1
0 4 4
4 4 0
5 0 5
10 8
2 1 3
1 1 3
1 1 2
0 1 0
3 3 0
2 1 1
1 2 2
0 2 1
1 3 1
2 0 2
10 9
2 0 2
2 3 1
1 3 2
3 1 0
0 2 0
0 3 3
1 1 0
0 0 2
0 1 2
1 3 1
10 3
2 3 0
0 5 5
3 2 2
3 2 0
5 2 3
1 2 1
3 4 3
2 0 5
4 0 2
3 3 5
10 6
0 2 4
4 3 3
2 0 2
4 0 2
4 4 4
2 0 0
0 1 1
3 3 2
4 0 1
2 2 2
10 9
2 1 0
0 0 2
2 1 2
1 0 2
0 2 1
1 2 0
1 0 1
1 1 1
0 1 0
2 2 0
10 3
0 2 3
2 3 1
2 0 3
4 2 2
5 3 4
2 5 3
1 1 5
4 3 2
1 0 5
2 3 3
10 8
3 1 0
0 1 3
2 0 1
2 1 2
2 1 3
3 1 3
0 3 2
1 2 0
2 1 1
0 0 3
10 8
1 2 1
1 0 2
0 2 1
0 1 1
2 2 1
2 1 2
2 0 2
2 2 2
0 2 0
0 1 2
10 2
0 4 0
2 1 1
2 4 1
3 3 2
1 0 1
4 0 1
1 2 4
2 4 0
4 4 2
3 1 2
10 3
2 0 1
1 1 0
0 1 0
1 2 2
0 2 2
2 1 1
2 2 1
2 2 2
0 0 2
0 2 0
10 8
0 0 0
0 2 0
2 1 1
0 2 1
1 2 1
2 1 0
2 0 0
0 1 0
1 2 2
1 0 0
10 5
4 3 1
1 0 2
1 3 1
2 1 1
2 1 0
3 4 0
0 2 3
3 0 3
2 4 0
4 0 4
10 3
1 3 3
3 3 0
0 1 0
2 0 3
0 2 0
2 1 3
2 3 1
0 3 3
1 1 3
3 1 2
10 9
0 4 1
3 0 4
3 1 3
3 0 2
2 4 4
3 0 0
0 2 2
1 0 0
3 1 2
2 0 4
10 3
0 0 2
0 2 2
3 2 0
0 0 1
3 0 0
4 1 3
3 1 3
1 0 3
0 3 3
2 0 0
10 4
2 1 3
4 0 1
5 4 4
4 4 1
1 0 4
4 5 4
4 3 1
4 2 4
3 0 3
2 1 2
10 4
0 2 2
0 3 3
0 5 4
1 1 5
0 3 0
4 5 3
3 4 3
2 4 2
2 3 0
4 3 0
10 2
0 0 1
1 3 2
1 1 3
2 0 0
0 1 3
0 0 0
2 3 2
3 2 1
0 0 2
3 2 3
10 9
0 0 0
1 0 0
1 0 1
0 1 2
0 1 1
2 2 2
2 2 1
1 2 1
0 2 0
0 0 2
10 7
2 2 1
1 1 2
0 1 1
1 0 1
2 1 0
2 1 1
0 0 1
2 0 2
1 0 2
2 0 0
10 2
0 0 3
2 1 3
1 2 3
0 4 1
4 3 0
2 1 1
0 4 0
1 3 2
1 0 1
0 4 2
10 3
0 1 2
0 2 2
2 1 1
3 3 0
0 2 1
3 0 3
3 1 2
0 2 0
2 2 2
3 1 0
10 4
2 2 3
3 3 3
3 1 2
0 2 3
0 0 2
1 2 2
2 3 3
2 0 1
3 2 1
1 0 2
10 2
5 4 0
1 0 0
0 3 3
5 2 5
2 1 5
2 0 3
0 5 4
2 4 3
5 2 3
3 2 5
10 3
1 3 3
3 2 2
4 3 2
1 3 5
2 2 5
1 2 1
4 3 3
5 3 1
1 5 1
4 0 2
10 6
3 3 2
2 3 0
3 1 1
1 0 2
1 3 3
1 0 1
2 0 2
1 0 0
1 2 1
3 1 2
10 9
2 0 0
2 2 0
1 0 1
0 1 0
2 0 1
1 1 2
0 2 1
1 2 0
2 2 1
2 0 2
10 8
1 5 1
2 2 3
4 1 1
2 3 4
5 0 4
4 0 2
3 3 5
4 3 0
4 4 2
0 4 2
10 4
3 0 1
1 5 3
2 4 0
0 5 4
3 4 4
1 0 1
0 2 4
5 2 2
2 5 4
2 1 3
10 2
3 3 2
3 2 2
5 4 5
2 1 0
0 2 1
2 2 3
4 2 0
1 1 2
2 3 1
3 4 5
10 9
0 1 0
2 0 0
1 0 2
2 1 0
0 1 2
0 1 1
2 0 1
0 0 2
1 1 1
2 1 1
10 9
3 1 4
0 4 2
2 1 1
4 0 4
0 2 2
0 1 1
4 1 3
4 1 1
0 4 3
1 2 1
10 4
0 4 3
0 1 4
3 3 2
3 1 0
3 4 0
0 3 1
4 2 2
2 0 0
3 0 3
2 0 2
10 8
2 2 1
1 0 1
2 1 2
0 1 2
2 0 2
2 1 0
2 1 1
0 1 0
0 2 2
0 2 1
10 7
2 0 1
0 2 0
1 2 1
2 2 1
0 1 1
2 1 1
1 0 2
1 0 0
0 2 1
2 0 2
10 3
4 4 2
2 5 2
2 4 3
1 5 2
4 5 5
3 0 3
2 5 1
0 1 1
0 5 4
5 3 3
10 9
4 0 1
3 1 0
2 3 0
1 4 0
2 1 4
0 1 3
1 3 2
0 1 4
1 2 3
3 1 3
10 8
2 1 4
1 2 4
0 1 0
4 4 0
0 4 3
0 0 1
4 0 1
0 4 1
0 3 0
2 0 1
10 8
2 1 3
4 0 2
0 4 0
1 4 2
0 2 0
1 2 4
1 4 3
1 4 1
1 0 1
2 1 4
10 5
0 0 3
2 0 4
2 4 1
4 3 2
2 1 0
1 3 0
3 2 0
2 3 3
4 2 4
3 3 3
10 4
2 4 5
4 5 1
3 0 5
3 1 3
0 2 5
3 5 2
3 3 4
1 0 0
5 4 4
2 3 4
10 4
4 0 0
2 2 0
0 2 1
1 0 5
4 4 5
1 4 5
2 5 2
4 0 5
5 2 3
3 5 3
10 7
1 1 0
2 2 1
2 1 0
1 1 2
2 0 0
0 0 1
0 2 0
1 0 1
2 1 1
0 1 1
10 2
1 2 5
4 3 5
1 2 2
3 3 0
5 5 0
2 3 3
0 0 1
1 4 0
3 4 0
2 5 0
10 7
5 5 0
3 2 5
4 2 1
2 5 2
1 2 4
5 3 5
2 0 5
5 4 5
0 1 4
0 3 0
10 2
4 2 4
1 0 4
4 1 2
4 3 1
2 3 4
1 4 1
1 1 0
4 4 1
0 3 2
2 0 3
10 9
1 4 2
3 3 1
2 1 1
1 3 3
2 0 4
1 4 3
3 4 4
0 2 3
4 4 4
0 4 2
10 9
3 1 4
3 2 1
3 2 2
1 4 2
1 2 3
0 1 1
0 1 4
4 1 4
0 3 0
2 3 3
10 7
0 4 1
0 1 1
2 0 4
0 3 4
1 4 3
4 0 0
3 2 3
4 1 4
0 3 3
4 1 3
10 4
0 1 4
3 0 4
3 5 5
4 1 5
0 1 2
1 5 2
2 3 0
0 5 4
4 3 2
3 5 1
10 3
4 3 4
2 3 2
3 0 2
3 2 0
0 3 3
2 2 1
1 4 0
1 3 0
3 4 1
0 1 4
10 3
1 3 1
1 3 2
0 1 0
0 3 0
2 3 3
3 2 0
1 1 0
3 0 1
0 0 0
3 3 0
10 9
1 2 1
1 1 2
2 0 2
2 1 2
0 1 1
0 0 2
0 1 2
2 1 0
1 2 0
1 0 1
10 7
1 3 2
3 0 3
3 0 0
3 0 2
0 1 0
1 3 0
2 2 1
0 2 2
2 2 3
1 1 1
10 5
1 3 0
2 5 0
2 3 0
5 1 5
2 5 3
1 5 1
1 4 5
3 5 3
3 2 5
4 1 3
10 3
3 4 3
2 4 3
2 1 3
3 3 3
1 2 1
0 3 2
1 2 4
0 0 3
1 3 2
3 4 2
10 8
3 2 3
0 2 2
2 2 0
0 1 3
0 1 1
3 3 2
2 0 3
2 1 1
1 3 1
1 0 0
10 5
0 2 2
0 0 1
1 1 0
2 0 0
1 1 1
0 1 1
1 0 1
0 1 0
1 1 2
0 2 0
10 3
3 0 1
0 3 1
0 0 3
3 3 1
0 0 1
0 1 1
2 0 3
2 3 1
2 2 1
3 2 1
10 4
2 2 0
2 1 0
0 1 0
0 1 2
2 1 1
0 2 2
0 2 1
1 0 0
2 2 2
2 2 1
10 6
0 2 2
2 1 2
0 0 0
2 2 0
0 1 0
2 1 1
0 2 1
1 1 0
0 1 1
0 2 0
10 4
0 0 0
0 1 0
2 0 3
1 3 1
0 3 0
2 3 1
1 1 2
1 1 0
2 1 2
3 0 2
10 4
5 5 5
3 0 4
4 1 4
0 1 1
1 5 1
0 3 1
2 0 4
1 3 3
2 5 4
1 1 1
10 6
2 5 2
1 5 1
1 2 5
0 4 1
3 2 4
3 2 1
3 0 0
1 4 0
0 5 1
4 3 2
10 3
3 3 3
3 4 1
1 4 0
4 4 2
3 0 3
3 0 0
0 4 3
0 0 0
1 0 0
3 3 2
10 6
1 2 2
1 0 0
0 0 2
1 0 1
1 0 2
1 1 0
2 0 1
1 1 1
0 1 1
0 2 2
10 5
2 3 0
4 3 5
4 4 1
5 1 3
3 2 1
1 1 2
3 3 1
5 0 0
3 5 4
4 4 0
10 6
0 4 4
3 2 2
3 3 3
1 4 1
1 1 4
3 3 1
4 2 3
0 1 4
2 2 2
4 3 3
10 3
4 3 2
2 1 3
1 1 2
4 2 1
3 2 3
4 1 4
0 2 0
3 1 2
0 0 4
1 3 3
10 9
1 3 5
1 0 5
0 1 0
3 5 5
2 2 5
3 5 0
1 2 0
0 0 5
0 5 3
2 5 0
10 6
3 0 5
3 0 0
1 5 5
5 2 1
1 0 3
5 0 5
4 5 0
1 1 0
3 3 5
3 1 2
10 6
4 2 2
1 2 0
0 5 3
0 5 2
2 0 3
3 1 2
3 1 0
0 1 3
4 2 4
1 0 0
10 6
2 1 2
0 2 1
2 1 1
0 1 2
0 1 1
1 0 1
0 1 0
0 0 1
0 2 0
2 2 0
10 7
1 4 0
1 0 3
0 3 0
0 0 1
0 1 3
2 0 1
3 2 2
4 0 0
4 3 1
1 0 4
10 7
0 1 0
3 4 0
1 4 0
3 2 2
4 2 4
2 0 0
1 4 3
1 3 1
1 2 2
0 0 2
10 4
1 3 0
0 2 0
2 1 1
2 2 1
2 0 1
2 3 2
3 1 2
1 1 3
3 3 0
3 1 0
10 2
0 3 2
0 3 0
3 1 3
1 1 2
0 1 1
1 1 3
1 3 3
1 0 1
0 0 1
0 0 3
10 6
2 0 0
0 1 2
2 2 0
2 2 2
2 0 2
2 0 1
1 1 2
1 1 1
0 2 1
0 0 2
10 6
3 0 2
1 1 3
3 4 4
2 4 1
3 1 1
4 3 2
0 4 0
4 1 4
4 4 3
0 0 4
10 2
2 2 0
2 2 1
1 0 2
0 1 1
2 2 2
1 1 0
0 0 0
0 2 2
0 1 2
2 0 0
10 5
2 2 1
2 1 1
2 2 0
0 2 1
1 2 2
0 1 1
2 0 2
1 2 1
2 0 1
1 2 0
10 6
0 1 3
2 2 2
3 3 1
2 0 1
1 2 1
0 2 2
3 3 3
2 1 3
0 2 1
0 0 3
10 4
5 5 4
2 4 2
2 0 1
3 0 5
3 3 3
3 0 2
5 3 5
0 2 3
5 4 5
2 2 2
10 5
1 5 3
5 5 0
4 3 2
1 2 5
0 0 0
0 2 5
3 0 1
4 0 1
3 5 3
5 3 4
10 9
0 1 2
2 1 2
0 1 1
1 0 1
0 0 1
1 1 0
1 2 2
0 2 1
1 2 0
0 1 0
10 2
2 0 0
2 3 0
3 1 1
3 0 3
3 2 1
1 1 0
1 1 1
0 0 2
1 1 2
2 3 1
10 9
3 2 0
2 2 0
5 3 0
4 4 1
4 0 3
1 2 5
2 4 2
5 0 4
0 1 2
3 5 4
10 7
1 2 1
1 0 2
2 1 2
0 1 2
0 0 2
1 1 0
0 2 0
0 2 2
1 2 0
0 2 1
10 7
5 2 1
0 3 3
4 5 4
5 0 3
4 0 0
3 0 2
5 4 2
3 0 4
5 2 0
0 4 1
10 3
1 2 2
0 2 0
1 0 2
0 1 1
1 0 1
2 2 1
2 0 2
1 0 0
1 2 1
0 2 2
10 6
0 3 3
2 0 1
2 0 3
1 3 2
3 3 1
2 0 0
2 2 2
2 2 3
0 0 2
2 3 1
10 3
2 0 4
5 5 4
0 5 3
2 3 5
5 4 4
1 1 4
3 4 4
5 0 4
2 1 0
0 5 5
10 5
2 0 1
2 0 2
3 3 1
4 0 4
5 0 5
2 3 3
3 0 0
4 2 5
1 2 1
3 5 4
10 7
0 0 2
3 1 1
1 1 1
2 2 1
3 1 3
1 1 2
1 0 1
3 3 1
0 0 3
1 2 1
10 8
1 2 2
2 2 2
0 0 2
1 1 2
0 1 0
1 1 1
0 0 1
2 0 0
2 1 0
0 1 1
10 5
1 5 3
2 5 2
4 5 5
1 0 2
1 3 2
5 1 3
2 2 1
5 1 5
3 2 1
4 3 1
10 5
3 4 5
4 0 1
2 3 2
1 0 4
1 5 5
0 3 5
2 0 1
1 4 2
1 5 1
3 3 5
10 9
2 0 0
0 1 1
3 1 2
2 3 1
3 2 0
1 2 3
3 3 3
0 2 1
0 1 2
1 2 1
10 5
3 0 2
1 2 1
1 1 2
0 3 3
2 0 3
3 3 0
0 2 1
1 0 2
2 1 2
0 2 0
10 9
0 5 1
1 5 5
3 4 0
2 0 4
1 4 0
4 3 5
1 2 2
2 5 3
2 4 5
4 0 4
10 4
2 3 4
4 4 3
1 0 0
3 4 2
4 0 2
0 2 3
4 2 1
0 0 3
2 3 3
0 3 4
10 8
4 5 2
5 2 4
3 1 0
5 5 5
4 4 4
2 3 0
1 1 3
0 2 0
4 1 5
3 3 4
10 2
1 2 3
3 0 0
1 3 2
0 2 1
2 2 3
1 3 3
3 3 0
1 1 1
2 1 0
1 2 2
10 7
1 2 2
5 5 0
4 1 4
1 5 2
4 3 1
2 2 2
1 1 1
1 3 2
0 4 0
2 1 0
10 3
0 1 2
2 2 0
2 1 0
1 2 0
2 0 0
2 1 2
0 0 2
0 2 0
2 0 2
1 0 2
10 6
4 4 0
0 3 0
4 2 4
3 4 3
3 0 4
1 1 0
1 4 4
4 1 1
1 1 1
3 3 4
10 5
0 0 2
0 2 1
2 0 0
1 0 1
0 1 1
0 1 0
1 1 0
1 0 0
0 1 2
2 2 2
10 5
2 2 2
2 0 0
3 2 0
3 3 0
2 1 2
2 0 2
1 1 2
0 3 1
0 1 3
1 0 2
10 7
5 1 0
2 4 2
0 1 0
5 3 5
4 1 4
1 4 1
0 5 4
0 2 2
4 2 5
0 2 3
10 6
0 2 0
0 1 1
2 1 0
2 2 0
2 1 1
0 0 1
1 1 2
1 2 0
1 1 0
1 0 0
10 8
2 3 3
3 2 2
0 3 3
3 2 1
1 2 3
3 0 1
1 3 0
1 3 1
3 3 0
2 3 1
10 6
1 2 0
1 2 2
2 2 2
2 2 1
2 2 0
0 0 1
2 0 1
1 2 1
0 0 0
1 1 0
10 5
3 1 2
0 4 1
4 1 3
0 2 3
3 0 4
4 1 1
1 1 1
4 4 3
2 4 4
1 4 3
10 8
3 2 1
1 2 1
1 3 3
1 3 2
1 1 2
2 1 0
3 1 1
1 1 3
0 3 3
1 1 0
10 9
2 4 4
0 0 4
2 4 0
1 1 0
0 2 4
1 0 0
4 4 2
3 0 0
3 1 2
4 0 3
10 7
0 2 0
2 2 1
1 2 2
1 0 1
2 1 0
2 2 0
0 1 2
1 0 2
2 0 2
0 0 1
10 2
2 0 1
1 1 1
2 0 0
0 2 0
2 1 1
1 2 1
0 1 1
2 0 2
2 2 1
2 1 0
10 8
1 0 1
1 2 0
0 1 0
1 1 0
0 1 2
2 1 0
1 0 0
0 0 1
1 0 2
2 0 1
10 5
3 2 1
0 3 2
3 0 2
0 0 1
3 2 0
1 2 0
0 1 1
0 2 2
1 0 1
1 1 2
10 2
0 3 0
2 1 2
0 1 2
2 0 1
1 1 0
2 0 2
2 3 1
1 3 3
3 0 0
3 2 1
10 7
3 3 3
2 1 0
3 2 3
4 0 0
3 0 3
4 0 2
1 3 2
4 1 3
4 3 0
1 0 4
10 9
2 2 3
1 0 0
0 2 2
0 3 1
0 2 3
1 2 2
3 0 1
2 3 3
2 1 3
3 3 1
10 8
4 2 3
1 3 3
0 4 5
2 2 0
4 4 5
0 3 4
4 2 5
4 0 0
4 2 1
5 0 5
10 9
3 3 1
3 1 1
1 1 2
0 2 0
1 1 0
1 3 2
0 3 0
2 1 0
0 1 2
1 2 1
10 5
0 2 2
1 2 2
1 0 0
0 0 1
1 1 2
0 0 2
1 0 2
2 2 1
1 1 1
1 0 1
10 4
1 4 4
5 3 1
1 5 4
0 4 2
4 2 2
1 5 3
4 5 2
3 5 5
2 2 1
4 4 2
10 2
3 2 3
1 2 4
2 3 0
4 0 4
4 4 4
2 1 2
2 1 3
0 0 3
0 1 2
2 3 4
10 6
3 1 0
0 0 0
1 3 1
0 1 2
3 0 3
0 1 0
3 1 2
3 3 3
2 0 3
1 2 2
10 8
2 4 5
2 4 2
4 4 0
4 4 4
4 2 5
0 1 4
0 2 3
2 0 5
5 0 2
0 0 4
10 6
2 0 1
1 1 1
1 0 0
2 2 1
1 2 1
1 0 2
0 1 0
2 0 0
1 1 0
0 2 0
10 4
3 3 0
2 0 0
0 3 0
1 2 1
0 2 1
2 0 2
1 3 1
1 3 3
3 3 2
2 0 1
10 9
1 1 2
0 3 0
0 3 2
0 3 1
1 2 0
0 0 0
2 2 0
0 1 0
0 2 2
3 0 2
10 4
0 2 1
4 2 3
3 1 2
2 0 4
1 4 4
1 4 0
0 0 2
2 0 0
2 2 3
1 2 3
10 2
0 2 2
0 3 2
1 0 1
3 2 3
0 3 1
1 0 0
1 3 0
1 1 2
0 3 3
2 1 3
10 9
3 2 3
0 4 1
4 0 1
0 4 2
2 3 2
0 4 3
4 3 4
1 2 0
0 3 2
4 0 2
10 7
2 2 5
4 0 5
0 3 0
3 0 2
2 2 3
5 4 0
1 2 4
1 5 0
4 0 2
2 3 1
10 8
0 1 2
0 0 0
0 2 1
2 1 1
1 2 1
0 1 1
1 0 0
0 2 2
2 0 0
1 2 0
10 2
2 1 2
0 1 5
3 3 2
5 1 1
1 4 1
4 4 1
3 1 5
1 0 5
0 5 3
5 5 4
10 6
2 2 1
0 1 0
2 2 2
1 0 2
0 0 2
2 2 0
0 0 0
0 2 0
0 2 2
1 1 1
10 3
1 4 5
1 1 1
4 4 5
1 0 0
4 1 2
1 0 4
0 5 2
2 3 0
4 5 3
3 3 1
10 8
0 0 0
1 2 0
2 2 1
0 1 1
1 1 1
2 0 1
0 1 2
0 1 0
0 0 1
2 2 0
10 3
1 2 0
1 3 0
0 1 2
2 0 3
1 3 3
1 0 0
3 0 2
3 3 2
1 0 3
3 3 1
10 3
5 3 5
5 3 4
1 1 5
2 0 0
0 3 5
0 0 5
4 4 2
1 1 4
5 4 0
2 0 3
10 8
2 1 0
1 1 1
4 3 3
4 0 1
4 3 4
0 4 3
4 0 4
2 1 3
3 4 1
3 0 4
10 5
0 0 0
1 1 2
2 2 0
1 2 1
2 0 0
1 0 1
2 1 2
0 0 1
0 1 0
2 2 1
10 2
2 0 4
0 4 2
3 0 1
2 2 1
3 3 2
3 4 4
0 0 2
0 2 3
2 3 3
2 4 2
10 5
1 3 0
4 0 3
1 4 0
1 2 3
3 0 2
4 1 4
4 2 3
2 1 4
3 4 0
4 3 2
10 7
3 1 2
1 0 2
0 0 1
0 0 0
2 3 1
2 2 2
0 1 1
0 3 1
3 0 2
3 2 1
10 2
5 4 1
5 1 1
1 2 0
3 1 3
0 1 0
0 0 4
5 1 3
2 3 1
3 2 1
5 5 0
10 3
2 0 1
1 0 0
2 2 0
0 0 2
2 2 2
1 2 2
0 2 0
1 1 0
0 1 2
2 1 2
10 4
3 0 0
3 1 4
1 4 3
4 0 1
2 3 2
3 0 4
1 2 0
1 3 0
3 1 1
1 0 1
10 8
1 2 1
0 2 2
1 0 1
0 0 2
0 2 0
0 0 0
1 1 1
1 1 0
0 2 1
1 2 0
10 5
1 0 2
1 1 1
0 2 1
2 0 1
2 1 2
1 1 0
1 3 2
1 1 2
0 1 0
1 3 0
10 7
2 1 0
3 0 0
2 2 1
1 1 3
1 0 0
1 0 3
3 3 0
2 1 2
3 2 0
2 0 1
10 2
2 1 1
2 2 0
0 1 2
1 0 1
0 0 0
1 1 0
0 2 0
0 1 1
1 2 2
0 2 2
10 5
2 1 0
1 1 1
1 2 0
0 0 1
1 0 0
2 0 0
0 2 1
0 1 0
2 1 2
1 1 0
10 2
3 1 3
3 2 2
3 0 3
1 2 2
3 1 0
1 1 0
2 3 1
2 0 3
2 1 1
0 3 3
10 3
2 0 1
2 2 0
2 3 0
3 1 2
0 3 0
1 0 0
1 3 0
1 0 3
1 1 3
1 2 0
10 2
2 2 1
1 2 2
1 1 1
1 1 2
2 2 0
0 2 1
0 1 0
1 2 1
1 0 0
2 1 0
10 4
4 4 1
1 0 2
2 2 3
0 0 4
0 3 3
2 4 1
0 1 3
2 3 3
0 3 2
1 3 3
10 5
2 2 3
3 0 1
2 1 0
1 3 1
3 1 0
3 1 3
2 1 1
3 3 1
2 2 0
2 0 3
10 7
1 5 1
4 2 2
0 1 2
4 5 4
4 2 1
4 5 5
5 4 2
0 5 2
4 1 0
4 5 2
10 2
3 4 0
2 3 4
0 0 0
3 2 1
3 2 3
2 4 4
0 3 4
2 1 2
2 4 3
0 1 0
10 4
1 2 0
3 1 0
3 3 0
1 1 1
0 0 0
0 1 2
0 2 2
3 1 1
1 3 1
1 0 0
10 4
0 3 3
2 0 0
2 1 1
1 0 1
3 0 2
1 3 3
1 1 2
1 0 3
1 2 3
0 1 1
10 8
0 2 3
5 1 3
1 4 2
2 0 1
1 2 0
3 1 1
2 3 4
3 5 3
0 4 5
2 3 3
10 2
0 2 3
0 0 4
4 4 0
1 0 1
4 3 3
2 4 0
3 5 4
2 1 1
0 5 0
0 1 5
10 7
1 0 1
0 0 1
1 1 1
0 1 1
1 2 1
1 0 2
2 2 1
1 1 0
0 2 1
0 2 0
10 5
0 3 0
2 4 5
2 3 1
3 0 5
5 1 4
3 5 1
1 4 3
5 3 2
1 3 4
2 5 3
10 8
4 2 4
3 1 1
0 0 0
4 4 4
3 3 2
0 3 1
2 0 4
4 1 2
0 0 2
0 0 3
10 5
0 5 5
1 0 5
5 3 2
3 0 1
3 4 2
4 1 3
1 4 0
3 2 0
0 0 5
0 2 5
10 9
0 0 2
2 1 0
3 3 2
3 0 1
0 1 1
1 0 2
0 3 2
1 2 0
2 0 2
2 1 3
10 4
1 1 0
1 1 2
0 1 1
0 0 0
0 0 2
0 2 0
1 2 2
2 2 0
2 2 2
2 0 0
10 2
0 1 2
0 2 0
0 2 1
0 4 2
0 0 2
1 1 1
0 2 3
1 1 0
4 1 3
3 2 2
10 6
0 2 1
2 2 1
3 4 1
1 5 4
1 3 4
5 5 5
5 0 3
1 5 3
3 1 4
0 4 2
10 6
0 2 0
0 1 0
1 2 0
1 0 2
0 1 2
0 0 0
2 1 0
0 2 2
1 0 1
1 1 0
10 4
3 2 3
1 0 3
2 3 2
1 3 2
2 0 0
1 1 1
2 3 0
0 3 0
3 0 2
0 3 3
10 9
4 3 2
2 2 1
3 3 3
2 4 4
1 3 0
1 2 0
3 4 1
2 0 2
0 4 1
1 0 3
10 4
2 0 1
1 1 1
4 4 0
0 4 0
3 2 1
4 2 4
4 1 3
0 4 1
0 5 4
3 3 5
10 3
3 2 2
2 2 3
2 2 0
2 1 1
2 2 4
3 1 3
0 1 4
0 1 1
0 3 0
2 1 0
10 7
4 2 3
5 3 4
4 4 1
5 0 0
5 1 0
4 4 4
5 1 1
0 2 4
1 5 1
5 3 2
10 6
2 0 5
5 3 2
4 1 5
2 2 0
5 4 0
0 5 1
4 5 1
4 1 4
4 2 5
5 2 3
10 3
2 0 4
0 3 0
0 0 0
4 1 4
2 4 3
4 3 2
3 1 4
1 1 2
4 2 2
3 4 2
10 6
0 3 4
2 4 4
2 1 0
4 3 3
0 1 3
4 0 1
4 0 0
1 2 2
2 3 1
4 1 2
10 9
0 3 3
0 3 0
1 1 3
1 1 1
3 3 2
3 1 2
3 3 3
2 0 0
2 1 2
0 0 1
10 4
3 1 2
1 3 0
2 2 3
3 1 1
1 2 1
2 0 3
2 2 2
2 2 1
2 0 1
2 0 2
10 5
2 0 0
2 2 0
1 1 2
0 1 1
0 2 2
0 0 1
0 1 2
1 2 1
0 0 0
1 1 1
10 2
5 5 0
4 1 2
1 5 2
3 1 3
2 4 0
2 0 1
1 3 1
0 3 0
3 2 2
3 3 5
10 3
1 0 0
3 1 1
1 2 1
0 3 1
2 2 1
3 1 0
3 0 2
3 2 1
0 1 2
1 0 1
10 8
0 2 3
0 0 4
2 2 1
5 4 5
4 2 4
2 5 5
3 1 1
5 4 3
2 3 5
4 1 1
10 7
3 2 2
1 5 2
2 5 5
0 1 0
4 0 3
4 5 2
4 2 1
1 2 0
1 5 5
2 3 3
10 7
0 1 1
2 2 2
0 3 1
1 3 3
3 2 1
1 0 3
3 2 3
1 3 0
3 2 2
3 1 2
10 5
0 2 1
0 0 0
1 2 1
1 1 1
2 2 2
2 2 0
0 0 1
2 2 1
1 0 1
0 1 2
10 6
1 1 2
3 2 2
2 3 2
0 0 2
4 0 0
2 2 0
4 4 3
3 0 0
3 2 3
4 1 2
10 9
0 1 0
2 3 1
3 0 0
0 3 3
1 1 1
2 1 3
2 1 0
2 2 1
2 2 0
0 0 2
10 6
4 3 0
0 2 4
2 3 0
4 0 1
4 4 2
0 1 2
4 2 1
2 1 4
4 1 1
1 1 3
10 9
3 4 2
3 2 5
5 5 1
4 1 3
1 2 5
2 0 3
1 3 5
3 1 0
1 3 3
4 0 4
10 2
4 3 2
3 3 4
0 5 4
5 5 3
2 4 4
0 1 4
0 4 2
0 5 3
1 4 2
1 3 1
10 3
4 4 0
4 1 1
3 3 1
2 4 0
0 0 3
2 0 3
1 3 0
3 1 0
1 0 1
4 0 2
10 8
3 3 2
2 2 3
1 3 2
0 1 2
3 2 2
1 1 2
1 3 0
3 0 0
1 1 1
0 3 0
10 8
2 1 2
0 1 0
2 2 1
2 0 1
1 0 0
0 0 1
0 2 2
2 0 2
0 0 2
2 2 2
10 9
3 5 5
5 2 5
4 3 2
0 1 1
0 3 1
2 0 0
4 2 1
3 2 4
2 0 1
5 1 5
10 9
3 1 0
1 1 1
0 1 3
1 2 3
1 2 2
1 0 2
3 3 3
2 1 2
1 3 3
1 3 1
10 6
1 4 4
2 4 4
0 3 3
2 2 1
2 4 1
2 3 2
4 3 0
3 0 0
1 1 1
2 1 2
10 5
0 2 2
2 3 3
1 1 4
1 4 3
0 3 3
4 1 0
1 2 3
0 2 1
4 3 0
0 1 3
10 2
1 4 2
2 4 1
4 2 0
1 3 0
2 0 1
3 0 4
2 2 0
4 2 3
2 2 4
1 0 3
10 9
1 1 2
2 3 4
2 3 0
3 0 2
0 3 2
2 0 0
3 2 4
4 4 3
3 0 4
3 0 0
10 8
0 1 4
2 1 3
4 0 2
2 3 3
0 3 1
4 3 0
2 2 4
0 0 2
1 3 4
2 3 4
10 6
3 2 4
3 1 3
3 1 0
3 0 2
1 2 4
3 4 0
0 2 4
0 2 1
1 3 2
4 4 0
10 4
1 2 0
3 2 1
2 1 2
2 1 1
3 0 2
1 2 1
0 2 3
2 1 0
2 0 0
1 2 3
10 9
5 2 4
4 1 5
0 1 3
2 3 1
5 1 5
2 4 3
0 4 3
5 0 3
3 1 3
1 2 1
10 4
2 4 1
0 0 1
3 0 3
3 4 1
1 1 3
1 3 1
4 2 3
4 3 4
2 0 0
4 1 3
10 7
2 2 1
2 0 0
0 1 0
0 2 0
0 0 0
2 1 0
1 2 0
1 0 2
2 1 2
0 2 1
10 5
2 2 1
2 0 2
1 0 2
0 2 1
0 0 2
2 0 1
1 1 2
0 1 0
1 0 1
1 0 0
10 9
3 4 4
2 4 4
0 0 0
4 2 3
3 3 1
0 4 1
1 0 2
0 4 2
3 4 1
3 3 0
10 7
2 1 3
0 0 1
2 3 1
1 3 1
2 3 0
0 1 2
3 3 2
3 1 3
0 2 2
3 3 1
10 2
4 0 3
0 1 3
2 5 2
0 2 3
5 0 4
1 4 0
3 3 2
1 0 1
1 0 3
1 0 4
10 5
1 3 0
3 0 1
3 0 2
3 0 0
2 0 3
2 3 3
1 2 0
2 0 2
2 0 0
0 1 3
10 9
3 4 3
1 3 3
2 0 3
2 4 2
4 4 4
0 0 0
1 4 4
3 3 3
3 2 3
1 1 3
10 8
0 4 0
4 2 2
3 4 0
3 4 3
0 2 1
2 2 0
4 0 0
2 1 1
0 2 2
4 1 2
10 6
1 1 1
1 2 1
0 1 0
1 0 1
2 2 2
0 1 1
0 0 1
1 0 0
1 0 2
0 2 1
10 9
2 1 2
1 1 3
2 1 3
1 2 3
3 3 0
3 3 2
1 0 3
2 3 1
0 0 0
2 2 3
10 4
5 4 3
0 2 5
4 5 3
5 2 1
3 4 3
0 3 3
1 4 4
4 3 0
2 5 0
0 3 0
10 4
3 0 5
4 4 3
2 0 5
2 4 4
4 5 3
2 0 2
0 4 5
5 5 0
0 2 2
0 1 5
10 6
2 3 3
1 1 1
0 2 2
0 0 0
0 0 3
1 0 3
2 2 2
1 0 0
3 2 2
2 0 0
10 4
0 0 3
2 3 0
2 1 3
3 1 3
2 1 0
0 3 3
1 2 0
0 0 0
2 1 1
2 2 1
10 3
5 4 1
5 0 5
4 2 0
5 2 4
4 3 0
4 2 4
3 2 4
1 1 2
3 2 1
2 4 0
10 2
0 0 1
0 2 2
0 0 2
1 2 0
1 0 0
1 0 2
2 1 1
0 1 0
1 1 2
1 2 1
10 3
3 4 3
3 0 4
0 4 1
4 4 0
1 3 1
4 2 0
4 0 0
4 1 4
4 3 0
0 3 3
10 7
2 3 2
0 2 3
2 2 2
1 1 2
2 2 0
1 3 0
2 1 1
0 3 3
0 3 2
1 3 2
10 3
1 4 3
3 1 3
4 4 1
1 0 4
4 0 0
2 3 3
2 2 2
3 4 3
0 2 4
0 4 2
10 8
4 4 2
2 4 4
1 1 0
1 3 0
4 0 1
2 1 4
2 4 0
3 0 3
0 2 0
3 0 2
10 7
0 3 2
2 1 2
1 1 3
1 3 1
3 0 0
1 0 0
1 2 1
3 3 2
3 3 1
1 3 0
10 4
1 1 2
0 0 1
1 2 0
2 0 2
1 2 1
1 0 0
2 1 2
0 1 0
2 2 0
2 0 1
10 6
0 0 2
4 1 4
0 2 4
1 3 4
2 4 3
4 0 1
4 1 2
0 3 0
4 3 0
2 0 2
10 9
2 0 1
2 2 1
2 2 0
2 0 2
1 2 0
2 2 2
1 2 1
0 0 0
1 2 2
0 0 2
10 8
2 1 2
5 4 5
2 5 2
3 0 1
4 5 5
5 4 3
2 3 5
5 2 0
3 4 4
5 4 1
10 3
1 4 4
0 4 2
2 0 4
3 1 0
1 4 3
3 2 2
3 2 1
2 0 3
3 1 1
2 0 0
10 9
1 0 4
1 5 1
0 5 1
0 5 0
1 2 2
5 3 5
1 2 1
3 2 5
4 2 3
4 0 3
10 4
4 3 3
3 1 5
2 0 2
0 3 3
0 4 2
2 2 2
2 0 0
3 1 4
0 4 0
0 0 4
10 7
1 1 2
0 0 4
3 0 0
2 1 2
2 0 4
4 0 4
0 1 3
2 2 4
0 0 1
3 3 3
10 8
2 3 0
1 4 3
0 3 2
3 1 1
1 2 4
0 3 0
2 1 3
4 2 0
1 4 1
2 4 3
10 7
1 0 2
1 1 2
1 2 2
3 1 2
3 1 3
2 2 3
0 0 2
1 0 1
3 2 3
2 2 1
10 2
2 2 1
1 1 1
2 2 0
0 2 0
2 0 2
0 0 1
1 1 0
0 2 2
2 1 2
1 1 2
10 6
0 2 0
0 1 0
2 2 0
2 3 2
2 1 2
2 2 3
2 2 1
0 0 2
0 1 1
1 0 2
10 8
0 3 1
2 1 0
0 2 2
3 2 3
1 1 1
0 1 0
1 2 2
3 0 3
0 2 0
1 2 1
10 9
2 0 0
0 1 2
0 0 1
2 1 2
2 1 1
1 0 1
1 1 2
2 1 0
2 2 1
0 1 1
10 7
1 1 0
0 0 1
0 0 2
2 2 2
1 2 0
2 1 0
0 1 0
1 2 1
1 1 1
2 1 2
10 9
3 4 1
1 0 0
0 2 2
3 3 0
3 0 1
0 2 1
4 2 2
4 0 3
3 1 2
1 4 4
10 2
0 1 3
1 4 4
3 1 0
0 2 5
4 0 4
2 1 5
2 2 1
1 5 3
5 2 1
2 4 4
10 5
4 1 0
3 5 3
5 5 1
3 2 3
2 0 3
2 4 5
3 5 1
3 5 2
4 0 0
1 3 5
10 4
2 2 2
3 2 0
2 3 2
2 0 3
3 0 2
3 3 3
2 1 2
3 1 1
3 0 3
2 0 2
10 2
1 1 0
0 2 1
2 0 3
3 0 0
3 2 2
1 0 0
0 3 0
3 2 3
2 2 0
1 1 2
10 8
1 0 2
2 2 1
2 1 2
1 0 0
1 1 1
2 2 2
0 2 2
0 1 1
1 2 2
0 1 0
10 6
2 2 3
4 1 2
4 1 1
4 3 4
1 2 2
2 4 3
1 5 2
1 0 2
3 2 0
5 5 1
10 2
0 0 2
2 1 1
1 0 1
1 1 0
0 1 2
1 2 2
1 0 0
0 1 0
1 2 1
1 0 2
10 9
3 1 0
4 0 1
4 1 4
0 4 5
0 5 3
1 0 3
3 2 1
5 2 4
2 2 5
1 4 2
10 6
1 2 3
5 4 0
4 1 0
4 2 2
0 3 4
3 3 3
4 2 3
5 1 3
2 1 1
1 2 0
10 9
0 3 2
1 0 1
2 0 1
0 3 3
1 3 0
2 0 0
0 2 1
1 1 3
2 2 2
3 0 3
10 7
2 0 1
0 1 2
1 1 0
0 0 0
1 2 2
2 0 0
2 0 2
2 2 1
1 0 2
1 2 0
10 9
3 2 2
2 3 4
2 2 3
1 1 1
1 3 0
4 2 4
4 1 1
0 0 0
2 3 1
3 1 0
10 6
1 3 4
3 2 1
0 2 2
3 4 0
1 4 4
0 3 1
3 3 1
2 0 3
4 3 2
1 0 1
10 7
1 2 5
1 5 2
5 5 2
1 4 3
3 1 3
5 1 2
1 4 0
0 0 3
5 5 3
3 1 0
10 5
3 0 4
2 2 4
0 4 3
0 2 1
0 3 1
3 2 0
2 3 4
4 4 0
2 2 0
2 2 2
10 5
2 1 3
0 0 0
3 1 3
2 3 1
0 3 1
2 1 1
1 1 3
3 2 3
3 2 0
3 3 1
10 3
1 2 0
2 1 1
0 0 1
0 1 1
1 2 2
0 2 0
1 0 2
0 2 1
1 0 1
2 0 0
10 4
1 2 1
0 1 4
2 4 1
4 0 4
0 3 3
1 0 3
3 1 4
0 4 4
2 4 2
4 1 3
10 5
0 1 0
2 2 2
2 1 1
2 2 1
0 0 1
0 2 0
0 0 0
0 1 1
2 1 0
1 2 2
10 5
3 3 2
2 1 0
2 0 2
0 0 1
2 0 3
0 1 0
0 0 3
0 2 3
1 0 3
3 3 1
10 2
0 1 0
0 2 3
0 3 2
3 2 0
4 4 2
1 1 0
4 1 0
1 4 2
4 1 2
2 1 1
10 7
1 2 2
2 0 2
2 2 1
0 1 2
1 3 2
1 4 1
4 4 4
1 3 0
3 4 2
0 0 3
10 7
3 1 1
2 2 0
1 1 4
2 0 1
0 2 2
3 1 0
4 0 2
0 1 0
3 1 3
2 4 3
10 7
4 2 1
4 0 0
3 2 4
4 3 1
1 0 2
3 1 0
0 3 3
3 3 0
3 4 4
2 2 4
10 6
2 1 0
1 2 1
2 2 1
2 1 2
1 2 2
0 0 0
0 2 2
1 0 1
1 1 1
0 2 0
10 6
1 1 0
1 0 2
3 2 2
3 1 3
0 3 2
2 1 0
3 0 3
2 3 4
4 4 4
3 2 1
10 9
4 2 0
3 0 3
4 4 2
4 4 3
3 0 1
2 1 2
1 1 1
0 1 1
1 3 3
2 4 4
10 5
0 1 0
2 0 2
0 0 1
2 1 0
2 1 1
2 2 0
2 2 1
2 0 1
1 2 1
0 1 1
10 5
0 1 0
2 2 1
0 1 2
2 0 0
2 1 2
0 0 0
1 0 0
2 2 0
1 0 1
0 0 1
10 2
2 0 2
2 0 0
0 0 0
0 0 1
0 2 0
1 0 1
2 1 2
1 0 2
2 0 1
1 1 2
10 9
3 3 2
0 2 2
1 0 3
0 0 0
4 4 3
4 2 3
2 3 1
0 0 3
3 1 0
4 2 2
10 6
4 0 2
4 1 0
5 3 5
4 0 4
2 5 3
2 4 0
5 1 0
0 1 0
3 2 4
0 5 5
10 7
3 0 0
1 2 4
4 4 1
0 1 3
0 0 0
2 3 4
3 1 0
0 4 4
2 3 1
3 3 4
10 2
0 0 2
3 3 0
0 0 1
3 0 2
3 3 2
0 3 1
2 0 0
2 3 1
3 0 1
2 1 0
10 6
0 0 0
2 2 0
2 2 1
1 1 1
0 1 2
1 1 2
0 2 0
1 0 1
2 2 2
2 1 0
10 7
0 3 3
2 2 3
1 1 3
3 0 2
1 0 0
3 1 3
3 2 2
3 1 0
0 2 1
3 2 0
10 5
5 2 0
3 5 1
1 0 4
1 5 2
3 1 5
4 3 2
5 3 4
1 3 2
0 1 2
2 1 2
10 5
0 0 1
1 2 1
2 0 1
0 1 1
1 1 2
1 1 1
2 1 2
2 1 0
1 0 1
1 2 2
10 7
3 2 3
4 0 0
4 3 1
3 4 2
4 4 4
5 5 3
5 1 2
3 3 3
1 5 1
5 5 0
10 3
0 1 1
3 0 0
0 3 2
2 1 1
0 1 2
0 0 1
1 2 0
0 0 3
2 3 3
3 1 0
10 8
5 1 2
4 2 4
3 5 3
5 2 4
0 3 4
4 0 4
3 5 0
3 5 4
4 3 3
3 2 5
10 5
0 1 1
2 0 2
2 1 2
0 0 2
1 0 3
0 2 2
1 1 2
2 0 0
2 1 1
0 3 1
10 2
4 3 3
0 3 3
2 4 4
1 4 1
3 2 1
1 3 1
3 2 4
1 1 2
1 0 1
2 2 3
10 9
1 2 3
3 2 4
1 3 2
2 2 5
2 1 4
2 3 4
2 2 1
1 4 1
1 2 1
1 2 0
10 3
3 0 0
2 0 2
3 4 2
3 2 4
1 2 3
0 3 4
2 4 1
2 4 2
4 1 4
1 4 4
10 2
2 1 1
2 0 2
0 0 0
2 2 0
0 2 2
1 1 2
0 2 1
2 2 1
0 2 0
0 1 2
10 7
0 3 3
2 3 1
0 1 2
3 1 3
0 0 1
3 3 0
2 3 0
3 0 1
2 1 0
2 0 2
10 4
1 1 1
0 2 0
1 0 2
1 1 2
2 0 1
0 0 1
0 2 2
0 1 1
1 2 0
0 2 1
10 4
1 2 1
0 0 2
1 0 0
0 2 0
0 2 2
1 2 2
2 2 1
1 1 1
1 0 2
0 1 2
10 5
1 0 1
1 2 0
0 1 0
2 1 2
0 0 0
1 1 1
0 1 1
2 0 0
1 0 0
0 0 1
10 4
1 2 2
1 3 3
2 0 3
2 2 3
0 1 1
3 3 2
0 0 2
0 3 1
1 1 1
1 3 1
10 7
1 1 1
0 2 1
1 1 3
1 4 1
3 3 3
1 2 1
2 1 3
3 3 0
2 4 2
0 0 1
10 2
3 2 0
0 4 4
2 4 3
0 1 2
4 4 1
4 2 0
0 0 3
3 1 0
3 4 1
0 1 1
10 5
1 0 1
3 1 4
0 0 3
1 2 3
1 0 4
3 3 1
0 2 4
4 3 3
0 4 1
0 4 0
10 3
1 4 0
1 1 1
2 1 2
3 1 1
2 3 1
4 3 3
3 4 4
1 1 4
4 3 1
3 2 0
10 3
1 2 2
2 3 0
1 2 1
2 0 1
1 0 2
3 2 2
2 3 1
1 2 0
0 2 2
3 2 0
10 8
1 0 1
3 0 3
1 3 0
0 1 1
0 0 1
2 2 1
0 1 0
3 3 0
3 2 2
1 0 3
10 4
3 1 2
5 5 4
0 0 5
0 1 4
2 1 5
4 5 0
2 1 4
3 0 4
3 2 3
0 1 2
10 3
5 0 5
5 4 5
3 5 0
2 1 0
0 5 5
5 0 0
1 4 4
2 3 5
4 5 1
2 5 1
10 7
3 2 2
2 2 3
2 1 0
1 0 2
1 2 3
0 1 0
3 3 2
2 3 0
3 2 1
2 3 2
10 5
2 1 2
0 1 0
1 2 2
2 2 2
0 0 1
0 0 2
2 1 0
0 1 1
1 2 1
0 2 0
10 6
2 1 1
1 0 1
0 1 0
1 2 0
0 2 0
2 2 0
1 2 2
0 2 2
2 0 1
1 1 0
10 9
4 0 3
4 0 0
2 5 0
2 1 3
1 2 5
3 5 2
0 5 5
1 5 0
1 5 1
5 0 0
10 3
0 3 2
2 0 2
0 0 0
4 3 4
1 2 3
2 2 4
3 4 4
0 1 0
1 2 2
0 2 1
10 3
0 4 4
0 2 0
2 2 3
3 2 2
1 4 3
0 0 2
4 3 2
0 3 0
1 4 0
4 4 0
10 6
1 2 2
0 0 0
2 0 0
1 1 0
2 1 1
0 2 1
1 1 1
0 1 1
1 1 2
2 1 0
10 3
5 4 4
2 1 5
3 2 0
2 4 1
4 0 1
2 4 4
2 3 2
3 5 4
4 0 0
3 3 3
10 9
2 1 1
2 1 2
2 0 0
1 1 0
2 2 2
0 2 1
1 2 0
0 0 0
2 1 0
1 1 1
10 5
1 1 2
0 0 0
1 0 0
0 2 1
2 2 2
1 0 2
2 1 0
2 0 2
1 0 1
2 0 0
10 3
3 2 1
1 4 4
3 3 4
3 1 1
1 4 2
3 2 0
1 0 4
0 1 0
2 5 3
3 1 0
10 6
4 4 0
2 2 1
4 2 1
1 2 2
2 4 3
3 0 3
1 4 3
1 1 2
3 2 2
2 1 0
10 7
2 1 3
3 1 0
2 2 2
2 2 3
1 1 2
2 0 1
0 2 3
1 3 3
0 0 2
1 1 1
10 2
2 1 3
4 4 3
3 4 2
0 0 1
1 3 3
1 0 4
3 4 1
1 4 3
0 2 1
4 3 3
10 4
0 0 2
1 1 3
2 3 3
0 0 0
0 3 0
0 3 2
0 1 1
1 0 2
2 1 0
0 1 2
10 8
1 2 2
3 0 1
2 3 3
3 1 3
0 0 2
1 0 0
1 3 2
1 1 1
1 3 0
1 1 2
10 5
2 0 2
2 0 1
0 0 0
0 1 2
0 2 1
1 0 1
2 0 0
0 1 1
0 0 2
2 1 1
10 5
1 0 1
1 1 3
2 1 0
2 3 2
3 2 0
2 1 2
3 1 0
3 3 3
2 0 2
0 3 0
10 3
2 1 0
3 0 2
0 3 3
1 2 3
2 3 3
4 4 2
3 3 2
0 1 3
0 2 3
0 4 2
10 3
2 2 1
1 1 4
4 3 2
2 4 0
4 0 2
0 0 3
0 1 2
4 4 3
3 2 4
0 3 1
10 7
2 0 1
0 2 1
0 0 1
2 1 1
1 2 2
1 0 2
1 0 1
2 2 1
2 0 2
0 0 2
10 8
1 1 1
2 1 2
1 0 1
0 1 0
2 1 1
0 1 2
1 2 2
1 0 0
0 2 0
1 2 1
10 3
0 2 2
1 0 1
0 2 0
1 1 1
2 1 1
2 0 1
0 1 2
1 1 2
1 0 2
1 1 0
10 9
1 0 0
1 2 1
2 0 1
1 2 0
2 1 1
1 1 0
0 1 2
2 0 2
2 2 2
1 1 1
10 2
5 0 5
3 3 0
0 2 1
1 0 5
1 2 5
0 3 1
0 1 2
4 4 3
4 4 5
5 1 5
10 9
0 2 2
0 1 1
0 2 0
2 1 2
0 1 0
0 2 1
1 0 1
2 0 0
1 2 0
0 0 0
10 8
1 2 2
0 2 0
1 1 2
2 0 0
0 0 2
0 2 1
1 2 1
1 1 1
2 2 2
2 0 2
10 3
2 0 0
1 0 2
2 1 2
2 0 2
0 2 1
0 0 2
1 1 1
0 1 2
1 0 0
1 2 0
10 2
0 2 3
1 0 3
0 1 1
1 2 2
1 1 1
0 0 1
2 0 2
1 0 1
2 2 2
1 0 0
10 9
2 1 2
0 1 0
2 1 0
0 1 2
2 2 2
2 0 0
2 0 2
1 1 1
1 1 0
1 2 1
10 8
1 4 4
1 3 4
0 2 1
1 4 2
3 3 2
2 3 4
4 0 0
2 1 0
3 4 1
4 2 0
10 3
1 1 0
4 0 0
3 3 0
3 2 4
2 2 0
1 0 0
2 1 4
0 1 0
0 3 3
3 3 2
10 2
0 0 0
0 1 0
2 0 0
0 1 2
1 1 1
1 1 0
2 0 1
3 2 3
1 0 2
2 0 2
10 4
3 2 3
2 3 1
1 2 2
0 3 2
3 0 1
1 0 3
0 3 3
3 2 2
2 1 2
1 1 0
10 2
0 2 3
1 0 3
1 2 2
3 3 3
2 1 2
1 2 0
2 2 2
3 0 3
3 3 1
0 2 1
10 3
5 5 0
3 1 0
2 1 4
4 5 4
5 3 3
5 2 3
4 5 1
1 0 1
3 0 1
2 2 0
10 3
0 2 5
5 4 3
1 0 3
1 2 4
1 1 0
2 5 1
3 4 3
4 1 4
0 1 4
0 0 1
10 6
1 5 1
3 1 2
4 0 3
2 1 0
3 2 0
5 5 5
4 0 5
3 5 0
2 2 3
4 4 2
10 8
0 3 3
2 0 5
2 2 0
5 0 4
0 5 3
3 1 3
4 5 3
5 5 5
0 5 5
2 3 4
10 4
0 1 2
1 0 0
2 1 2
2 3 3
3 0 3
2 2 0
1 0 2
3 0 1
3 3 2
2 3 2
10 5
0 2 0
3 0 1
0 3 2
3 1 3
1 0 1
0 3 0
0 0 2
0 1 2
2 1 2
0 0 1
10 3
2 0 1
4 0 1
0 1 3
1 0 3
4 2 4
4 4 2
4 2 2
3 0 2
3 2 3
3 0 1
10 3
4 2 3
0 5 4
1 3 4
3 3 4
4 3 5
1 4 4
3 1 0
1 0 5
5 2 4
2 4 4
10 5
1 2 1
0 1 2
1 1 1
1 0 1
2 0 1
2 1 2
0 2 0
2 0 2
2 2 1
1 0 0
10 7
1 2 2
0 0 1
2 1 2
1 1 0
0 0 0
2 1 0
2 0 2
1 0 1
0 2 2
2 2 1
10 9
2 2 3
3 2 0
1 3 2
1 1 3
0 1 2
2 1 2
0 3 2
3 3 0
0 1 0
3 1 2
10 4
2 1 1
1 1 0
0 0 2
2 2 0
2 0 2
0 1 2
2 2 1
0 2 1
1 2 1
1 0 0
10 8
1 1 1
0 1 0
3 3 0
2 2 2
2 1 1
2 2 1
3 2 0
1 0 0
2 1 2
1 1 3
10 5
1 0 2
1 0 1
0 0 2
1 0 0
1 1 2
1 2 2
0 1 1
2 2 0
2 1 1
0 2 0
10 3
1 1 2
2 2 0
1 0 1
0 2 0
2 1 1
1 2 1
0 0 2
2 0 1
0 1 0
1 0 0
10 8
1 2 1
0 1 2
0 2 0
1 2 2
0 1 0
0 2 2
2 1 1
2 0 1
1 1 2
0 1 1
10 7
1 0 4
4 2 4
0 1 1
3 0 4
2 4 4
3 4 2
3 2 4
0 1 2
1 4 4
4 4 0
10 3
0 2 1
5 4 0
5 0 0
1 3 0
5 5 5
1 4 0
0 0 4
3 2 5
3 4 1
2 1 0
10 4
1 1 3
0 2 0
0 2 1
1 0 3
3 2 0
3 1 0
3 2 3
1 0 1
2 3 1
0 3 3
10 4
2 1 2
0 2 3
3 2 2
3 0 0
1 0 3
0 3 3
3 0 2
2 2 3
3 1 1
0 1 3
10 2
0 2 1
2 1 2
2 0 2
0 1 2
1 1 2
0 2 0
1 1 0
0 2 2
2 1 1
2 1 0
10 9
0 3 3
3 1 1
3 1 3
1 3 2
0 1 2
0 0 0
1 0 1
3 0 1
2 0 1
0 2 3
10 6
5 1 3
5 1 0
0 5 3
3 4 0
4 3 0
3 3 3
3 2 3
4 5 5
2 5 4
2 1 2
10 6
3 0 2
2 1 0
0 3 3
0 2 1
2 0 1
2 2 3
2 0 2
0 2 2
1 2 0
3 0 1
10 2
2 3 0
0 2 1
2 1 4
1 2 3
3 2 4
3 1 3
2 1 2
2 4 0
2 2 1
3 4 3
10 9
0 0 0
1 1 0
1 0 2
0 1 1
1 2 2
2 0 1
2 2 1
0 2 2
0 2 0
0 0 2
10 8
2 4 3
3 2 1
2 1 1
4 4 3
3 0 1
4 1 0
2 0 4
2 1 2
1 2 0
0 4 4
10 8
0 1 4
1 3 1
3 0 2
0 2 1
1 2 1
1 1 2
2 1 1
2 2 1
3 1 1
2 4 3
10 5
1 1 0
2 1 0
2 2 1
1 0 1
1 0 2
1 2 1
0 1 2
2 1 1
0 1 1
0 2 2
10 5
1 1 2
2 2 2
1 2 1
2 0 0
0 2 2
2 0 2
1 1 0
2 1 0
1 1 1
1 0 0
10 4
3 3 3
3 0 2
3 3 2
1 2 3
2 1 2
0 1 3
0 2 0
3 2 1
3 3 0
0 1 0
10 9
1 4 5
1 0 2
5 5 1
1 1 3
4 5 1
0 2 0
2 1 1
0 0 3
3 4 4
2 4 2
10 3
1 1 2
2 3 3
2 3 2
0 2 3
0 3 2
3 0 2
1 3 1
0 2 2
2 1 2
1 3 3
10 2
0 2 2
2 2 1
3 3 0
0 1 0
1 3 2
1 3 0
0 1 3
2 3 1
3 0 0
3 3 3
10 9
2 0 0
1 0 0
2 1 2
2 1 1
1 0 1
0 1 2
0 2 2
2 1 0
0 0 0
1 1 1
10 6
2 0 1
0 2 1
1 0 2
1 1 0
0 0 0
1 0 0
0 1 0
0 1 1
1 0 1
2 1 2
10 4
3 0 1
2 0 1
0 1 2
2 1 1
2 2 2
1 1 1
0 3 1
0 0 1
1 0 3
1 3 3
10 4
5 0 0
2 5 5
2 3 0
3 4 4
0 5 1
3 1 0
1 4 5
1 4 2
0 4 4
1 0 2
10 7
0 0 2
2 2 1
2 0 0
2 2 0
2 1 0
0 2 1
1 2 1
1 0 1
1 0 0
2 1 2
10 9
1 0 1
1 4 1
4 0 2
0 1 3
4 3 1
2 3 1
2 4 4
2 2 1
3 0 3
1 2 2
10 7
3 2 3
0 1 2
0 1 0
1 1 0
4 2 0
0 0 1
1 3 2
1 3 4
0 0 2
0 3 1
10 4
1 4 3
3 3 2
2 2 1
3 4 2
2 2 0
2 3 0
0 4 3
3 1 4
1 4 1
1 4 4
10 3
1 4 4
3 0 0
2 2 1
2 4 3
1 3 3
1 3 4
1 3 2
2 3 3
4 2 4
4 4 4
10 3
1 4 1
1 1 3
3 1 2
4 4 3
1 4 4
3 4 4
2 3 3
2 0 0
1 3 3
0 4 1
10 6
0 0 1
2 1 2
1 0 2
1 1 2
0 2 0
2 0 2
2 1 0
1 2 0
1 1 1
2 1 1
10 9
3 2 0
1 2 1
3 3 3
2 3 1
2 3 0
0 1 1
1 0 3
2 0 3
2 2 2
1 3 2
10 2
4 0 2
2 5 1
5 2 3
5 0 3
4 4 2
0 0 5
4 3 5
4 0 3
3 4 5
2 3 0
10 4
0 2 1
2 2 2
1 1 0
2 0 0
1 0 1
0 2 0
1 2 1
0 0 2
2 1 2
0 1 2
10 2
1 0 0
0 0 3
0 3 0
2 0 0
3 1 0
1 3 3
2 1 3
3 1 3
3 3 2
2 1 1
10 8
3 3 2
3 4 4
1 0 2
1 1 4
1 2 4
4 4 1
4 4 4
3 2 1
2 3 2
4 4 0
10 2
2 4 1
0 4 2
3 0 0
4 0 2
1 1 1
1 4 4
4 4 0
4 3 2
2 2 4
0 0 3
10 9
0 2 1
1 0 2
0 0 0
1 2 2
2 0 2
1 2 1
2 1 2
2 0 1
0 0 1
2 2 2
10 7
0 1 1
2 0 1
1 2 2
2 2 0
0 0 1
0 0 0
2 1 0
1 1 1
2 2 1
1 2 1
10 7
0 3 1
0 3 3
0 2 2
1 3 0
1 3 1
1 2 3
3 2 1
0 1 1
3 3 0
0 0 2
10 2
4 4 0
1 0 5
3 3 2
5 2 0
4 0 5
2 5 3
4 4 3
5 2 4
5 5 2
1 5 3
10 2
1 2 0
0 2 1
2 0 1
1 0 0
0 1 1
0 1 2
2 1 2
2 2 2
2 2 0
2 2 1
10 4
0 0 1
3 1 4
3 1 3
0 4 2
4 3 3
0 4 3
0 0 2
4 3 2
1 0 2
0 3 0
10 8
0 1 1
2 1 0
1 2 2
2 0 1
0 1 2
0 2 0
2 2 0
1 2 1
0 0 1
0 2 1
10 7
1 2 2
0 0 2
2 2 0
0 0 1
0 0 0
2 0 1
2 0 0
2 2 2
1 0 0
1 1 2
10 7
4 3 4
1 3 1
3 3 2
1 0 0
3 5 2
1 3 5
2 0 0
5 1 4
0 2 5
4 4 5
10 8
4 3 0
0 1 1
3 5 2
2 1 2
5 4 2
4 4 5
3 4 3
4 0 3
4 1 4
2 2 0
10 2
3 2 0
2 0 2
2 0 0
1 3 1
1 1 0
1 2 2
1 1 3
1 2 0
1 2 1
2 3 2
10 2
2 0 2
0 3 3
2 2 3
0 0 1
2 0 0
0 1 3
3 1 0
1 2 2
3 3 0
0 2 0
10 6
1 1 1
5 3 4
2 2 0
0 4 1
5 1 1
3 0 2
2 5 5
2 1 2
4 2 3
5 5 2
10 7
3 3 0
3 2 3
0 3 1
3 0 3
3 0 2
1 0 2
1 2 3
1 2 0
3 0 0
1 1 3
10 4
2 2 2
4 2 4
3 1 1
1 0 0
0 1 3
1 3 2
1 3 1
2 4 2
0 3 3
0 0 2
10 4
1 5 5
4 1 2
0 4 3
2 3 5
5 2 0
5 4 3
4 3 1
0 5 2
0 5 3
4 4 3
10 2
1 5 5
1 1 0
0 5 4
4 2 2
5 3 0
1 2 1
3 1 0
3 3 1
2 4 1
1 3 0
10 2
5 1 1
4 1 1
3 4 2
5 0 4
0 4 3
5 1 2
2 1 5
1 4 1
1 2 0
1 3 2
10 7
3 3 3
2 0 2
2 2 1
1 0 0
3 1 3
0 1 3
1 1 0
2 0 3
0 2 3
3 1 2
10 9
2 0 2
3 4 3
3 2 1
0 2 0
2 4 1
1 4 3
2 3 0
1 0 1
3 0 4
0 2 3
10 2
2 2 1
0 1 0
0 0 1
2 1 2
1 2 0
2 1 0
0 0 2
0 1 2
1 1 0
1 1 2
10 3
4 1 2
4 3 2
4 1 4
1 2 4
2 1 3
2 0 0
2 4 4
0 4 2
3 1 4
0 1 1
10 2
0 2 1
0 0 1
1 0 0
1 2 2
0 2 2
1 1 1
1 0 1
2 0 0
2 1 2
0 1 0
10 8
0 0 2
0 1 2
2 0 0
2 0 2
1 2 0
2 1 1
2 1 2
2 1 0
0 2 1
1 1 0
10 2
2 2 1
2 0 1
0 2 3
3 0 2
3 2 1
0 0 1
2 2 2
3 2 0
3 1 0
2 0 3
10 8
3 4 3
5 0 5
3 4 0
4 3 2
2 3 0
0 4 0
1 0 5
5 2 1
3 3 4
4 3 5
10 4
1 2 3
1 4 1
2 4 0
0 0 0
0 1 2
0 2 3
1 3 1
3 0 2
4 0 1
0 2 1
10 7
1 1 2
0 3 0
0 1 2
4 4 1
2 2 4
3 1 2
1 4 1
1 3 1
1 4 4
1 4 2
10 2
1 0 1
4 2 0
5 3 2
4 3 5
2 1 4
3 4 3
0 3 3
2 0 4
5 4 2
1 3 2
10 9
5 4 0
1 0 1
0 1 1
4 5 3
1 3 1
0 2 2
3 5 1
4 3 3
3 3 3
2 0 0
10 9
1 4 3
1 3 5
1 3 4
2 0 1
5 1 4
5 3 0
0 4 0
2 5 2
4 3 2
3 0 0
10 9
0 3 0
3 1 3
4 2 0
0 3 3
3 4 2
3 2 4
0 1 4
3 3 4
4 3 4
3 0 0
10 8
0 1 4
3 3 1
4 2 0
3 2 1
1 1 3
2 4 3
4 3 3
3 3 0
0 2 1
3 4 1
10 5
3 2 5
4 4 0
3 3 5
4 5 4
2 4 2
3 5 4
4 1 1
1 4 5
0 3 0
4 1 4
10 2
2 0 0
0 1 1
2 2 0
2 0 2
2 0 1
1 0 0
2 1 0
0 2 1
0 0 1
2 2 2
10 2
1 1 0
1 0 0
1 2 1
2 1 2
0 1 0
2 0 2
2 2 2
0 1 1
0 2 2
0 2 0
10 7
0 2 0
1 3 2
2 2 2
4 0 2
1 4 2
1 3 3
0 3 2
0 0 1
3 1 0
3 3 4
10 6
1 2 0
0 0 1
1 2 2
2 0 2
1 1 1
2 2 1
1 1 0
1 2 1
0 2 1
2 0 1
10 4
2 2 2
1 0 2
1 1 0
2 2 0
2 1 2
1 1 1
1 0 1
2 1 0
0 1 2
1 2 2
10 6
0 3 5
1 1 3
0 2 2
1 0 5
1 4 0
4 5 1
2 1 1
4 2 2
5 1 3
1 5 5
10 9
4 1 1
0 1 4
0 4 3
3 2 1
1 3 4
4 3 0
1 2 2
4 1 0
1 3 0
4 2 3
10 3
0 2 4
1 3 0
3 4 4
0 1 2
0 2 2
3 3 1
1 4 2
4 4 4
3 2 1
2 3 1
10 5
2 0 0
2 2 2
2 1 0
1 2 2
2 0 1
0 1 2
0 0 2
2 2 1
0 0 1
0 2 2
10 8
2 2 1
0 0 2
0 1 2
1 0 0
0 1 0
2 1 1
1 2 0
1 2 2
2 0 0
1 1 2
10 4
0 1 0
1 2 0
2 3 2
2 0 0
3 2 2
1 1 0
3 0 1
1 3 0
2 1 2
1 0 3
10 5
5 1 4
3 5 0
0 5 5
4 5 0
4 0 5
0 3 5
4 4 3
3 4 2
5 5 3
4 0 3
10 8
0 0 0
1 2 0
2 1 0
2 0 2
1 0 2
2 2 1
1 2 2
2 2 2
0 1 1
1 0 0
10 4
1 4 2
1 2 0
4 4 4
1 2 3
2 1 1
2 3 1
3 1 0
1 1 3
3 3 3
2 0 0
10 2
3 2 0
0 1 0
2 2 3
3 3 2
0 3 0
0 1 1
2 2 0
3 1 0
0 3 1
0 3 3
10 6
2 2 0
3 2 0
4 3 0
1 0 3
4 0 1
0 0 3
0 2 0
1 3 2
0 0 2
1 1 0
10 3
2 3 1
1 3 2
2 2 1
1 2 2
1 1 2
3 1 0
2 1 1
0 3 0
2 3 0
2 0 2
10 2
1 4 1
0 3 3
1 0 2
0 0 0
4 1 1
2 2 0
2 3 4
2 4 1
1 1 1
3 4 1
10 6
3 0 1
3 1 0
1 3 3
3 1 2
3 1 3
2 2 2
0 0 2
2 0 2
0 2 3
0 2 2
10 7
3 3 3
1 3 2
2 2 3
0 0 1
3 0 1
1 1 3
0 1 0
1 2 2
0 3 1
1 2 0
10 7
0 2 0
2 0 0
1 1 1
0 0 2
1 1 0
0 1 0
0 2 1
0 0 0
2 1 1
2 0 1
10 7
1 4 1
5 2 1
0 4 1
2 0 5
4 0 5
5 1 4
3 5 4
2 1 4
0 5 1
3 3 3
10 4
2 4 5
4 2 3
3 0 2
2 3 4
0 3 5
3 1 2
0 3 3
1 0 2
3 2 4
1 1 0
10 9
0 0 1
2 2 0
1 0 2
1 1 0
1 0 0
1 2 0
2 1 1
2 1 2
2 0 2
0 1 0
10 2
1 1 2
1 0 2
0 1 2
0 0 2
0 0 0
0 2 1
2 0 2
2 2 2
2 0 1
0 2 2
10 4
2 4 0
4 4 4
3 2 2
2 2 2
4 1 2
0 3 3
0 1 2
2 3 1
4 2 3
3 4 3
10 6
2 3 3
1 1 0
0 2 1
1 3 0
3 0 0
1 3 3
2 3 1
1 2 0
0 1 1
0 0 2
10 9
0 5 1
4 2 0
3 2 4
3 4 4
5 0 3
5 0 2
2 1 4
3 5 3
2 2 0
5 1 3
10 8
4 4 2
3 3 3
3 4 3
2 3 2
0 0 2
0 2 2
4 0 1
1 3 4
0 1 0
0 0 0
10 3
2 1 0
1 1 2
1 0 0
2 2 1
1 0 2
0 0 1
2 2 0
0 2 1
2 1 1
2 1 2
10 3
3 2 3
1 0 1
0 3 2
2 0 2
1 2 3
0 2 2
1 1 3
1 1 0
0 3 3
0 2 1
10 2
1 5 2
0 1 4
5 3 1
2 5 3
0 4 3
1 0 5
2 4 3
4 2 2
5 2 3
1 5 1
10 2
1 2 0
1 1 2
2 0 1
1 0 1
2 2 1
2 0 0
2 1 0
0 1 1
1 2 2
0 2 0
10 7
4 1 3
1 2 3
1 1 0
4 0 1
4 0 0
0 2 0
1 4 5
2 5 2
0 1 1
0 4 3
10 6
4 0 2
2 4 4
1 4 2
4 1 2
2 3 1
4 2 1
4 1 0
0 4 1
3 1 0
3 0 2
10 5
4 0 2
0 1 4
0 5 1
0 1 3
2 3 3
1 1 4
2 3 1
4 4 5
0 5 3
5 3 0
10 5
4 5 3
4 3 2
2 1 2
3 4 2
0 5 5
0 3 0
5 4 2
1 1 5
1 1 2
5 2 5
10 4
1 1 1
5 0 1
1 2 5
2 1 2
4 3 1
3 5 0
5 4 3
5 5 3
4 0 3
0 5 5
10 4
1 0 3
2 3 1
3 2 0
3 0 0
3 1 2
1 2 1
0 2 3
3 3 2
3 0 1
0 0 2
10 3
4 2 4
3 3 3
0 0 3
0 3 3
3 4 3
2 3 4
2 2 3
3 3 4
2 2 0
2 4 0
10 7
5 0 5
0 4 3
5 4 2
0 5 5
1 0 1
1 2 2
1 1 0
1 2 3
1 0 4
0 1 0
10 3
0 0 0
0 0 1
1 2 1
0 0 2
0 2 0
0 1 0
2 0 2
1 1 1
1 0 1
0 2 1
10 8
0 0 2
0 0 1
0 2 2
1 1 0
0 1 2
1 0 2
1 0 1
2 0 2
2 2 1
1 2 1
10 2
0 2 1
2 0 1
0 1 1
1 1 0
0 2 0
2 1 2
0 0 0
1 2 2
2 1 0
0 0 2
10 8
2 2 2
1 0 0
0 1 1
0 0 2
0 1 0
2 0 2
1 2 1
1 1 2
0 2 1
1 2 2
10 5
2 2 0
0 1 3
0 0 2
1 1 1
0 3 2
2 2 2
0 1 2
2 0 0
2 1 2
3 3 0
10 2
2 0 5
5 3 3
5 2 2
3 3 4
0 3 2
2 3 0
4 5 1
1 3 5
2 4 3
4 4 1
10 5
2 4 5
5 1 1
4 0 3
0 0 5
4 5 0
0 1 1
4 0 5
4 2 3
3 4 3
3 4 2
10 2
2 4 3
0 0 2
1 1 4
0 3 1
2 0 3
0 1 2
0 1 0
0 2 4
1 3 3
2 4 1
10 8
2 0 0
1 0 2
0 2 1
2 0 1
1 1 0
0 2 2
2 2 2
1 2 2
2 2 1
2 1 1
10 2
1 1 0
3 1 3
0 0 2
3 2 1
1 1 1
1 3 3
2 3 2
3 0 3
0 2 2
0 3 0
10 8
0 1 0
2 0 1
3 0 0
0 3 3
3 1 2
3 3 1
0 2 3
2 2 1
3 2 2
1 1 2
10 4
2 0 3
2 0 2
0 0 2
2 2 1
3 2 2
1 1 2
2 3 0
1 2 0
3 3 1
2 0 1
10 6
0 2 2
2 1 0
0 0 1
2 0 0
2 2 2
0 1 0
1 2 1
2 2 0
1 0 1
1 1 2
10 5
2 0 3
2 0 1
2 2 3
2 1 3
3 1 1
1 2 1
0 2 0
3 3 3
0 2 3
1 1 0
10 2
1 2 1
1 1 1
0 2 1
3 1 3
0 3 2
3 1 2
3 3 3
1 0 2
0 0 0
3 0 1
10 8
2 0 0
1 0 0
0 2 0
2 2 1
0 0 2
1 2 2
1 2 0
1 0 1
1 1 1
2 1 1
10 3
1 3 4
2 3 1
0 0 0
4 4 0
3 4 0
2 0 1
1 4 3
0 1 4
2 2 2
4 0 1
10 6
1 2 0
0 1 2
2 1 1
1 0 1
1 1 2
2 2 0
2 1 2
0 1 0
0 0 2
2 1 0
10 8
1 2 3
3 0 3
3 0 1
1 1 0
1 0 0
3 2 1
0 3 2
3 1 1
1 0 1
3 2 0
10 6
1 0 3
4 4 1
4 2 3
0 5 4
4 0 1
3 3 0
2 0 1
2 2 4
3 3 3
3 0 5
10 2
4 3 3
1 3 3
3 3 4
2 4 2
2 0 1
0 3 3
2 1 3
4 0 0
3 1 3
3 2 2
10 6
1 1 1
2 1 0
4 4 0
1 1 2
2 0 1
0 0 2
1 2 4
3 4 4
4 3 1
4 3 3
10 5
1 2 2
0 0 1
3 3 1
0 2 1
3 1 3
2 2 2
0 3 3
0 0 3
2 2 1
1 1 1
10 3
2 1 1
2 2 0
1 2 2
1 2 1
1 1 0
0 2 0
1 0 0
2 0 1
0 0 2
1 1 2
10 3
0 0 3
3 0 1
1 2 3
0 1 0
0 0 1
0 1 3
1 3 0
0 1 2
2 2 3
0 0 2
10 6
3 1 3
0 0 4
2 2 0
0 3 4
1 1 3
4 3 4
3 0 2
0 1 1
3 3 2
1 1 0
10 8
0 0 1
0 1 1
2 2 2
1 1 2
2 1 0
1 0 2
2 0 0
2 2 0
0 0 0
1 2 0
10 4
3 0 2
3 1 2
1 2 1
1 2 0
2 2 0
2 1 0
2 0 1
0 1 0
2 0 2
1 1 3
10 7
2 1 0
0 0 0
0 0 1
1 1 1
1 0 0
0 2 2
0 1 1
2 2 2
0 1 2
2 1 1
10 3
2 0 2
1 0 1
0 0 0
0 2 1
2 0 1
2 1 1
1 1 0
1 2 2
1 2 1
2 2 0
10 9
3 0 3
4 2 3
2 3 1
5 1 2
0 4 4
5 5 2
4 1 2
2 3 0
5 3 4
1 3 0
10 2
2 1 1
1 1 1
1 1 2
2 2 1
1 0 0
2 0 1
2 2 2
1 2 2
2 2 0
0 0 2
10 4
1 2 0
2 3 1
1 3 1
3 1 1
2 1 2
2 1 0
0 2 3
3 3 0
2 0 0
3 2 1
10 2
1 0 0
2 0 0
2 1 2
1 2 2
1 1 0
1 0 1
0 1 1
1 2 0
0 0 0
1 0 2
10 4
1 2 2
1 0 2
3 1 2
2 2 0
2 2 3
3 2 0
2 3 0
3 3 3
3 2 3
1 2 0
10 9
2 1 2
3 2 3
1 1 1
2 2 1
2 1 0
1 2 3
0 3 3
0 0 3
3 1 2
3 3 2
10 5
2 0 0
2 2 2
2 1 1
0 2 2
1 2 1
1 1 0
2 0 2
1 0 2
0 2 1
2 2 0
10 5
2 4 4
1 4 0
2 2 0
0 4 0
2 0 2
0 0 3
0 0 1
2 4 3
3 3 4
2 0 0
10 3
0 1 1
4 3 5
5 4 0
3 5 2
1 3 2
5 4 4
5 5 5
2 1 2
3 0 2
4 4 2
10 3
2 2 0
1 2 1
3 0 1
0 1 3
1 1 3
0 3 2
2 2 2
0 2 2
1 3 2
3 2 2
10 8
2 0 0
1 4 4
1 1 2
2 2 2
1 0 0
4 2 3
4 4 1
2 3 3
0 1 3
4 0 3
10 5
2 1 2
2 2 1
0 0 0
2 0 2
1 2 1
2 0 0
0 2 0
0 1 0
0 2 1
0 2 2
10 6
2 1 1
2 2 2
0 1 1
2 0 0
2 1 2
1 2 2
2 0 1
0 2 2
1 2 0
0 2 1
10 8
5 2 3
3 3 5
3 1 3
5 3 4
0 1 0
2 1 0
2 2 5
4 5 0
0 3 4
2 3 1
10 3
2 0 0
0 3 3
3 0 2
3 0 3
2 3 2
0 3 2
1 3 0
3 2 2
3 1 1
1 2 0
10 5
0 1 0
2 1 0
2 2 2
0 2 2
0 2 0
1 2 2
1 0 0
0 1 1
2 1 1
1 0 1
10 3
1 2 2
2 3 3
3 0 0
4 1 2
2 3 2
3 4 0
0 4 0
1 3 3
0 1 2
3 2 0
10 9
3 4 3
1 2 2
2 4 4
4 0 4
1 0 4
0 0 0
2 0 0
3 0 3
2 3 4
4 1 4
10 6
2 0 3
1 5 4
4 4 1
0 3 1
0 1 1
1 1 4
0 3 2
1 1 0
0 2 0
2 4 4
10 4
0 3 1
1 3 2
0 1 3
1 1 3
3 0 0
2 1 1
3 1 2
3 2 0
2 1 2
3 0 2
10 7
2 2 1
0 2 1
1 1 1
1 2 0
2 0 1
1 1 2
0 2 0
2 1 1
1 1 0
0 1 2
10 3
2 1 1
1 0 1
1 2 2
0 1 1
2 1 0
1 0 0
0 2 0
0 0 0
1 2 0
0 1 0
10 6
1 2 0
0 0 0
2 1 1
0 1 2
2 0 2
0 0 1
0 2 2
0 1 1
2 1 2
1 1 2
10 4
1 3 2
2 0 0
2 2 0
0 3 3
1 1 1
0 3 2
0 1 0
0 1 1
2 0 2
3 2 3
10 9
2 0 3
0 2 4
3 3 0
3 1 0
0 1 2
1 0 3
4 0 1
3 0 0
3 2 4
0 2 3
10 8
4 1 2
0 4 4
2 3 3
1 2 5
4 3 4
2 0 1
5 3 2
4 0 5
0 5 0
2 4 3
10 8
1 1 2
4 0 3
4 2 0
3 4 0
3 1 4
1 2 4
1 0 0
3 2 0
2 2 4
4 4 0
10 9
2 0 5
4 3 1
0 0 5
3 4 2
5 3 1
3 1 4
5 4 1
0 3 4
0 5 3
2 5 5
10 9
0 0 1
1 2 1
0 0 0
0 2 2
1 1 0
0 1 0
2 0 0
0 2 0
0 0 2
2 2 0
10 4
2 1 1
4 2 1
4 3 3
5 3 2
5 0 2
1 4 2
3 5 1
2 4 2
2 5 4
3 0 4
10 4
4 1 4
0 3 0
1 0 2
3 3 1
2 4 3
2 0 0
0 0 0
2 1 0
2 3 0
4 0 2
10 3
2 4 2
0 0 1
0 2 4
2 4 0
0 0 2
4 2 2
1 3 4
3 3 1
2 0 1
2 3 2
10 8
1 3 1
2 0 0
2 2 2
0 2 0
1 0 1
2 1 2
3 2 3
3 0 1
0 0 3
3 1 3
10 2
4 3 2
0 1 0
3 4 4
2 4 2
0 1 2
3 1 3
4 3 4
0 0 3
3 0 4
1 4 0
10 4
1 0 4
4 4 3
2 5 5
5 3 0
3 1 2
5 5 3
4 1 4
5 5 1
3 3 2
4 5 1
10 2
0 0 1
1 0 0
0 2 1
0 1 2
0 0 2
2 0 1
2 1 1
0 1 0
0 2 0
1 2 0
10 3
3 0 0
0 0 1
3 0 3
2 2 1
3 0 2
0 1 0
3 3 1
0 2 3
2 0 2
1 3 1
10 2
2 2 4
4 3 3
0 4 2
2 3 4
1 0 0
1 0 2
0 0 3
0 3 3
2 1 1
4 4 2
10 4
3 1 4
2 0 4
2 3 3
2 4 2
4 2 1
0 2 2
2 2 2
1 2 0
2 3 0
2 1 0
10 9
0 3 2
0 0 1
2 2 1
1 0 0
1 1 1
1 1 3
2 0 1
3 3 3
3 3 1
1 0 1
10 3
0 2 2
1 2 1
1 1 2
0 2 0
0 0 2
0 0 0
2 1 0
2 2 0
1 2 0
2 1 1
10 6
0 0 3
4 0 3
1 2 1
1 0 1
2 2 1
4 3 0
3 4 1
4 4 0
0 4 2
5 0 1
10 6
2 1 1
0 1 2
2 2 2
0 3 0
1 2 3
2 1 3
1 0 3
2 0 0
2 0 2
1 0 2
10 3
2 2 1
0 2 2
0 1 2
2 2 0
1 0 2
1 0 1
1 2 0
2 0 0
0 0 1
2 1 0
10 6
0 0 0
2 2 1
1 2 2
1 2 1
2 0 2
2 0 1
0 0 1
0 1 1
1 0 1
0 2 0
10 7
0 2 2
2 0 1
1 0 2
2 0 0
0 2 0
2 1 2
0 0 2
1 1 1
0 0 0
2 0 2
10 8
1 4 2
0 2 5
4 1 3
5 5 3
0 0 0
1 2 2
3 3 4
5 0 0
5 0 2
2 4 5
10 6
0 1 1
0 2 3
3 3 0
3 3 2
0 0 2
2 3 3
3 0 2
2 1 0
0 3 1
3 1 2
10 5
0 3 4
1 3 3
0 1 2
3 4 4
2 5 0
2 3 1
2 5 3
1 2 4
5 5 0
5 5 1
10 8
3 0 0
1 0 3
0 3 3
0 3 1
3 1 2
3 0 1
1 1 2
2 1 0
3 3 1
2 3 3
10 7
4 0 1
1 5 2
0 1 1
1 4 1
3 0 0
2 3 3
3 3 4
5 5 5
0 1 4
2 3 5
10 8
4 1 1
1 1 1
2 3 1
1 4 4
0 0 3
0 0 1
3 3 1
0 0 2
0 4 2
3 2 0
10 6
3 4 3
0 4 1
3 3 2
3 5 1
0 5 4
1 0 1
5 3 0
4 3 3
1 5 4
2 0 5
10 3
1 0 2
0 2 2
2 2 0
1 1 0
2 0 1
1 2 1
1 1 2
0 2 1
0 2 0
2 1 1
10 4
1 3 0
2 2 3
0 2 3
3 2 0
0 0 1
0 2 0
0 1 2
1 0 3
0 1 0
3 0 1
10 5
3 3 4
3 2 0
1 4 3
4 2 4
4 3 4
0 0 1
4 2 2
0 4 0
2 1 1
3 0 1
10 7
1 4 0
1 2 0
2 4 3
1 1 0
4 1 3
0 0 3
1 0 0
1 4 4
2 2 1
4 2 2
10 8
5 2 1
4 5 0
5 2 0
4 3 0
5 0 2
3 0 5
3 5 4
0 1 5
3 5 5
1 4 5
10 7
5 0 0
5 3 1
2 4 0
5 5 0
2 2 3
3 5 1
3 1 3
4 5 0
1 0 3
2 0 1
10 3
4 3 4
2 4 3
2 4 5
2 3 4
1 1 5
1 0 1
2 5 4
5 4 5
1 3 1
4 2 2
10 2
2 0 0
2 3 3
3 3 0
4 2 1
0 2 0
3 3 1
4 2 2
1 1 3
0 4 3
0 3 4
10 2
4 3 3
3 2 4
0 1 4
3 2 3
0 1 3
0 0 2
4 1 3
3 4 1
3 4 3
3 1 2
10 8
2 1 1
1 0 0
1 0 2
1 2 1
1 2 2
1 1 0
2 2 0
0 0 0
0 1 1
0 0 2
10 5
2 2 1
1 1 1
2 1 1
1 0 1
0 1 0
2 0 0
2 0 2
0 2 0
2 2 2
0 2 1
10 6
0 2 0
0 2 2
2 3 3
0 0 0
2 1 0
1 0 3
2 2 3
3 3 1
1 3 2
0 1 1
10 3
3 3 2
1 3 3
1 1 2
0 2 2
1 0 2
2 3 3
3 0 1
0 3 0
0 2 3
0 0 2
10 2
1 2 0
2 2 0
2 0 1
2 2 2
1 0 1
1 0 2
0 1 2
0 1 0
2 0 0
2 0 2
10 5
3 1 4
0 3 3
2 1 1
1 4 2
4 1 0
3 1 1
3 0 2
3 4 2
4 2 4
0 4 4
10 2
2 3 0
0 2 2
3 2 1
1 0 2
1 3 2
0 0 1
2 3 1
3 2 3
3 0 1
0 3 3
10 9
0 0 0
1 1 2
2 5 4
3 1 2
0 1 1
2 5 0
5 0 0
1 3 2
4 3 4
5 3 3
10 4
0 3 3
3 1 0
1 1 2
0 2 1
0 0 3
2 0 3
1 1 0
3 2 2
2 2 0
1 2 1
10 9
1 2 2
2 3 1
0 2 4
4 4 0
0 3 2
1 1 0
0 3 1
2 0 0
1 4 1
1 0 3
10 4
3 4 5
5 1 5
4 4 4
5 2 1
2 1 4
0 2 1
3 5 1
1 5 4
4 1 2
5 0 1
10 6
1 0 2
0 1 2
2 0 2
0 0 1
1 2 2
1 1 1
2 2 2
0 2 1
2 0 0
1 1 2
10 2
2 2 3
2 2 0
1 1 4
2 5 3
1 2 0
5 5 1
3 3 4
1 3 3
3 2 4
3 1 5
10 9
0 0 4
1 0 3
2 4 4
2 1 1
4 3 0
5 3 4
0 2 4
2 0 3
3 5 0
4 2 4
10 9
2 0 0
1 2 2
1 1 0
0 2 1
0 0 1
1 0 0
2 2 1
2 1 0
1 0 1
1 2 0
10 7
4 3 4
4 1 4
4 0 2
0 4 2
2 3 1
1 3 4
1 2 4
1 1 1
3 4 0
4 3 0
10 9
5 2 4
1 4 1
5 1 5
1 3 5
4 4 0
4 5 4
2 5 4
1 2 0
0 2 4
2 1 0
10 6
0 0 2
0 1 0
0 0 0
1 2 2
1 0 0
2 2 2
0 1 1
2 2 1
2 1 1
1 2 1
10 2
0 1 1
1 0 0
0 2 2
1 2 0
2 1 1
0 2 0
2 2 1
1 1 0
2 1 2
0 0 2
10 8
3 0 2
3 2 3
1 0 1
3 3 3
0 2 0
2 0 1
3 2 1
3 2 2
0 3 2
3 0 1
10 9
4 2 4
5 2 0
3 4 5
0 2 0
0 1 3
5 5 3
3 0 3
0 5 2
3 4 3
3 4 0
10 8
0 4 4
3 3 1
1 2 0
1 0 0
4 0 4
2 0 4
3 1 1
1 2 1
1 4 4
3 0 1
10 4
3 1 0
0 4 4
2 4 1
1 4 3
0 4 3
1 4 0
0 1 2
2 0 4
2 4 0
3 0 1
10 9
2 1 0
0 2 0
1 1 2
2 0 2
1 2 0
0 1 2
2 2 0
0 1 0
0 0 1
1 0 1
10 6
1 3 3
0 0 1
3 2 3
1 0 3
0 0 2
1 1 1
2 1 1
3 0 2
3 3 0
1 1 2
10 7
1 1 0
1 0 1
2 0 3
0 0 3
3 0 3
0 2 0
0 3 3
0 3 1
2 3 0
3 0 2
10 8
2 5 2
0 2 3
0 0 4
0 3 1
5 0 2
3 1 5
1 1 2
4 3 4
1 3 4
4 1 1
10 5
1 1 2
3 2 5
1 0 2
3 4 4
4 4 0
2 3 4
5 2 5
3 1 2
1 3 1
4 4 2
10 7
4 4 4
4 2 1
2 3 0
0 5 3
0 1 3
0 2 0
2 3 5
3 2 4
1 0 3
3 0 5
10 8
2 0 2
2 1 0
1 2 0
0 0 1
1 0 2
1 1 1
0 2 2
0 1 1
2 1 1
1 1 2
10 4
0 4 4
2 0 3
0 0 2
3 2 0
2 1 4
2 4 4
3 4 2
0 1 3
1 4 4
1 0 4
10 4
2 2 4
1 2 1
0 1 4
1 4 0
1 2 2
1 4 1
1 3 0
4 2 0
3 0 0
1 3 3
10 7
1 4 4
1 4 3
5 4 5
4 1 2
0 5 5
0 2 1
0 1 3
0 3 1
1 5 3
0 0 5
10 3
0 0 1
2 1 0
0 1 1
1 1 1
1 0 2
1 1 2
2 1 2
2 0 0
0 0 2
2 0 1
10 3
3 1 3
0 1 3
3 3 1
2 1 0
0 3 0
2 2 2
1 2 0
1 0 3
0 0 1
0 0 0
10 8
4 0 3
5 0 2
3 0 3
4 3 4
5 0 3
2 3 3
2 4 5
0 0 4
1 0 0
4 4 4
10 6
0 0 0
3 1 1
1 1 1
3 1 2
3 1 4
0 2 2
2 3 4
0 4 0
2 3 2
2 3 1
10 4
3 4 1
2 0 4
5 0 5
2 4 0
0 3 0
3 0 4
2 2 1
2 0 3
1 0 5
3 3 3
10 5
4 1 3
4 4 2
0 4 0
2 2 4
4 3 3
2 2 3
0 1 3
1 0 0
4 0 2
0 1 1
10 7
3 3 3
3 0 0
1 2 3
3 1 1
3 1 2
2 3 2
0 0 1
1 1 2
3 0 1
3 0 2
10 5
1 1 4
3 3 0
0 3 1
2 0 3
0 3 3
4 0 0
2 3 0
1 0 4
5 5 2
4 5 1
10 7
0 4 2
1 3 2
0 0 3
0 3 2
0 2 4
1 3 4
0 1 3
2 2 2
2 1 0
4 3 1
10 2
1 1 0
2 2 1
1 0 0
2 1 0
2 1 2
0 1 1
2 0 2
0 1 2
2 0 1
1 0 2
10 6
0 3 0
0 1 2
0 2 0
1 0 0
3 1 2
2 3 2
2 2 1
2 0 0
0 1 1
1 3 1
10 9
3 4 3
5 2 0
4 4 4
5 0 1
1 2 2
5 4 3
3 1 4
4 5 1
3 1 1
4 1 3
10 9
2 2 0
2 1 1
1 0 2
1 1 1
0 2 1
1 1 2
2 2 1
1 2 0
0 1 0
2 1 2
10 6
3 2 5
1 5 3
5 1 5
0 3 1
5 2 4
3 5 4
4 5 3
3 2 1
5 3 2
3 3 3
10 9
2 0 0
1 3 2
1 1 1
0 0 1
3 1 1
2 0 3
2 1 1
2 3 1
2 0 2
3 0 0
10 7
5 5 4
0 1 0
0 2 5
3 1 2
2 5 2
1 0 4
0 3 4
4 2 3
3 0 3
3 3 2
10 4
5 2 2
1 3 2
0 4 1
3 4 3
0 0 1
3 4 1
0 1 3
4 3 3
1 3 1
3 3 3
10 8
0 2 0
1 1 0
0 2 1
2 0 1
2 2 0
0 0 1
2 0 2
2 1 1
1 2 2
1 1 1
10 4
0 3 2
4 1 2
0 4 1
3 1 1
0 3 3
4 3 1
4 1 0
2 3 0
1 0 1
3 3 4
10 5
4 1 2
3 0 3
2 3 4
2 2 3
1 4 2
4 2 1
0 1 4
4 0 1
2 1 3
1 3 1
10 4
2 2 1
1 0 1
1 2 1
2 0 0
2 0 2
1 0 2
0 0 1
2 1 1
2 2 2
0 1 0
10 9
1 1 3
2 0 0
2 0 4
2 2 2
1 4 1
4 3 3
3 3 0
3 0 3
1 0 2
0 3 3
10 5
0 3 0
3 3 3
3 1 1
1 2 1
2 3 2
2 0 2
3 0 1
2 1 2
2 2 1
2 2 3
10 4
5 2 3
0 5 4
5 5 4
1 3 4
0 3 2
2 1 5
5 1 3
5 0 2
1 3 3
1 4 0
10 3
0 0 2
2 3 2
1 0 1
3 1 2
1 0 0
1 3 1
2 3 3
2 0 1
2 2 0
0 1 0
10 4
3 4 4
0 3 2
5 0 0
2 3 3
1 0 5
5 5 4
1 2 0
5 2 3
4 5 2
3 0 4
10 3
4 1 0
1 1 1
0 3 3
3 4 2
4 1 1
1 4 0
1 2 2
0 4 2
4 2 0
3 0 0
10 5
3 0 2
0 4 3
1 0 3
3 0 3
2 0 2
4 4 1
3 3 0
2 2 3
1 3 1
0 3 1
10 2
4 1 4
2 2 3
4 3 0
1 1 0
3 1 2
2 2 4
0 0 4
2 0 3
0 2 0
2 4 3
10 5
1 3 0
1 3 2
3 4 1
0 0 3
0 1 2
2 2 1
3 2 4
2 4 2
1 0 0
1 1 4
10 5
3 0 5
0 3 4
3 5 4
3 2 2
1 0 2
0 3 1
5 4 5
2 1 0
5 1 2
4 4 4
10 4
2 3 3
2 3 1
1 1 2
0 0 1
3 1 2
3 2 1
1 0 1
3 0 2
3 3 2
0 0 2
10 4
4 5 1
3 3 3
2 0 3
3 3 4
4 0 5
1 1 2
2 3 0
2 1 4
3 5 5
4 0 1
10 6
4 3 2
1 4 5
4 3 3
3 4 3
0 3 3
5 4 3
3 5 5
2 4 2
4 3 0
4 2 4
10 8
2 0 1
2 1 2
2 2 2
0 0 1
1 2 2
0 0 2
1 0 0
2 2 1
2 1 0
1 1 0
10 2
3 1 3
3 4 0
3 2 2
3 2 4
2 4 1
2 0 4
2 3 0
1 3 1
0 1 0
4 3 1
10 3
5 4 4
1 1 3
2 1 4
0 2 3
5 2 4
5 5 3
1 2 1
2 4 5
0 2 2
5 2 2
10 9
2 0 0
0 0 0
1 0 0
2 2 1
0 1 2
1 2 2
2 1 2
0 2 2
0 2 0
0 1 0
10 7
1 0 1
3 2 3
1 3 0
2 2 0
0 0 0
2 0 3
3 1 2
3 3 0
2 3 3
3 2 1
10 8
0 3 2
3 3 1
2 1 0
3 1 0
3 0 2
3 2 1
2 3 3
3 0 1
1 1 0
1 3 1
10 5
0 2 4
4 2 0
1 3 0
1 3 3
1 4 4
1 1 0
1 1 3
1 1 1
1 0 1
0 1 2
10 4
4 1 1
4 0 3
4 4 4
4 2 0
3 3 2
0 2 1
4 4 0
0 4 4
1 4 2
0 1 3
10 2
0 3 1
3 2 2
2 2 3
1 3 2
1 0 3
0 1 3
0 3 3
3 3 2
3 0 3
2 2 2
10 9
4 1 4
3 0 2
0 5 0
4 4 0
3 5 1
4 0 0
1 2 1
5 5 1
5 4 4
0 4 4
10 8
0 2 0
0 2 3
1 0 3
2 2 0
0 3 1
1 3 3
3 1 2
1 2 3
0 3 3
2 3 0
10 2
0 1 0
1 0 1
3 1 0
1 0 0
1 4 4
3 2 1
4 0 4
4 4 4
1 3 0
4 3 4
10 6
1 0 1
1 1 0
2 2 1
0 1 1
0 1 2
1 0 2
1 2 0
2 1 0
1 1 2
2 2 0
10 6
2 2 0
1 1 0
1 1 2
0 0 2
2 1 1
1 1 1
0 2 0
1 0 0
0 2 1
2 2 1
10 7
3 2 3
1 2 0
3 0 0
2 1 1
3 3 0
3 2 1
3 3 3
2 1 2
0 3 1
1 3 0
10 8
1 4 0
0 1 1
0 2 3
4 3 4
5 2 5
3 1 4
3 1 1
2 0 4
4 5 3
5 2 4
10 5
3 3 1
3 3 2
0 0 0
2 3 0
3 0 0
1 1 0
2 1 0
2 0 1
0 2 3
3 1 0
10 3
3 3 3
1 1 2
2 0 3
2 1 3
0 0 1
3 0 2
1 1 0
1 0 2
1 1 3
3 3 1
10 4
1 3 0
1 0 0
0 1 0
1 0 2
2 0 3
3 2 0
3 0 0
3 4 0
4 0 3
4 4 0
10 8
1 0 1
2 3 3
2 0 2
3 3 2
0 0 2
0 1 1
2 2 2
3 2 1
2 1 3
1 2 3
10 7
3 1 0
1 3 0
3 1 3
1 0 2
3 3 3
3 0 1
2 0 0
0 2 2
2 1 0
3 3 1
10 5
3 2 0
2 3 3
2 2 1
1 0 1
0 3 3
1 2 0
0 0 2
1 2 3
1 0 3
2 1 3
10 6
4 2 0
0 5 3
5 1 3
5 2 2
1 2 5
1 0 3
4 2 1
0 4 2
2 3 3
5 5 3
10 8
0 3 1
1 1 0
1 2 0
2 2 0
2 1 0
3 0 0
0 1 1
0 1 2
2 2 2
3 3 2
10 3
4 0 5
2 0 1
1 3 0
2 1 1
5 5 0
4 4 4
2 1 3
5 5 2
1 3 1
1 1 1
10 5
3 1 3
1 1 1
2 2 3
4 3 0
1 4 4
3 0 4
1 3 4
4 3 4
2 1 2
0 4 0
10 4
4 3 4
2 2 3
0 4 4
0 0 1
4 4 4
4 0 1
1 0 4
2 4 2
1 3 1
4 4 1
10 2
1 1 2
1 0 0
1 2 2
2 1 2
2 0 0
2 0 1
2 1 1
1 2 0
0 2 0
2 2 2
10 6
2 2 0
3 0 5
5 5 1
4 2 1
1 3 1
5 2 5
2 3 3
4 2 3
5 4 5
5 1 1
10 6
0 0 2
3 0 1
1 2 2
0 0 1
1 1 3
0 3 1
3 2 0
1 0 2
3 3 3
2 1 2
10 4
3 4 4
0 3 4
1 0 2
1 4 1
2 3 1
0 0 1
2 3 0
0 1 3
3 0 0
2 2 2
10 9
5 3 1
1 4 0
3 5 4
3 4 1
1 5 3
0 0 5
4 0 0
3 1 5
5 0 5
1 3 3
10 8
2 3 1
4 4 4
3 0 3
0 3 4
4 1 1
0 0 0
0 4 0
2 3 2
2 0 0
4 0 1
10 3
1 3 1
3 2 4
2 1 0
4 4 3
0 3 1
3 2 0
4 0 3
2 1 3
0 2 3
0 2 0
10 9
2 2 2
2 4 1
4 0 3
1 3 0
0 1 4
2 0 2
2 2 1
1 2 2
3 4 0
0 3 4
10 3
5 4 5
3 4 3
2 4 2
2 4 1
3 3 3
1 3 0
4 4 4
2 2 0
5 0 0
2 1 3
10 8
4 5 5
1 3 5
3 4 3
5 0 0
2 4 5
3 5 1
3 1 5
3 2 2
4 0 2
2 3 1
10 5
3 2 1
3 4 2
0 4 3
1 0 3
4 0 1
3 1 2
2 2 0
3 2 0
2 0 3
0 2 2
10 2
0 1 3
3 3 2
2 2 1
2 0 1
1 0 2
1 1 2
3 3 1
2 1 3
1 1 3
3 1 2
10 9
3 1 3
2 1 2
3 1 0
2 0 1
3 0 3
3 3 3
1 3 2
1 0 0
1 2 1
3 0 2
10 4
2 3 3
2 2 2
2 2 0
1 0 2
2 3 0
3 1 2
3 3 3
1 1 0
3 1 3
0 1 3
10 2
0 1 4
3 0 3
0 1 0
0 5 4
5 1 4
5 4 0
0 5 0
3 0 2
0 1 1
3 1 0
10 8
0 0 3
5 0 1
3 1 5
3 2 5
5 5 1
4 1 2
0 2 1
4 4 3
4 5 0
2 5 5
10 3
0 1 2
0 2 1
1 1 0
2 0 1
2 1 0
2 2 1
1 0 0
1 2 1
2 1 1
0 2 2
10 3
5 3 0
3 0 2
2 3 0
3 4 4
1 4 1
4 0 5
5 1 2
3 1 1
3 5 3
4 0 4
10 2
1 1 2
2 2 3
0 0 0
3 0 0
3 0 2
1 0 0
2 0 1
0 3 1
3 3 1
0 1 1
10 4
2 3 1
3 2 1
2 1 0
2 1 2
2 1 1
0 3 3
3 0 3
3 2 3
0 1 2
0 2 1
10 2
1 2 4
2 4 2
3 2 0
2 0 3
3 2 3
3 3 4
4 1 3
1 3 0
3 1 0
3 0 0
10 2
1 3 3
3 1 2
1 1 2
2 2 0
2 0 2
3 3 2
2 1 0
1 0 3
1 2 2
1 0 1
10 3
5 4 2
2 1 3
3 1 5
4 1 0
2 4 3
0 4 4
5 3 1
2 1 5
4 3 4
3 4 3
10 9
1 0 2
2 3 0
0 1 1
1 2 1
1 1 2
2 1 1
2 2 3
1 3 3
3 1 0
2 2 2
10 2
2 2 2
1 0 2
1 2 0
0 0 0
0 1 0
2 2 1
2 0 0
0 1 2
1 2 2
1 0 0
10 8
2 0 2
0 2 2
1 0 2
2 2 1
1 0 0
0 1 2
1 2 1
2 2 0
2 0 1
0 2 1
10 6
2 2 0
1 2 0
2 1 0
1 0 1
0 1 0
2 0 2
1 0 2
0 0 1
1 1 1
0 2 1
10 9
3 1 1
2 2 5
3 2 4
1 4 5
2 2 1
4 2 1
0 4 0
5 1 4
2 5 0
5 2 5
10 4
0 1 2
1 0 1
0 2 1
2 2 2
2 2 1
0 2 2
1 2 0
0 0 0
1 2 1
1 1 1
10 2
1 3 3
2 2 1
3 1 2
0 2 3
2 0 1
1 0 3
2 1 3
3 3 0
2 3 2
1 2 0
10 6
0 3 3
2 3 2
0 2 1
1 1 0
1 3 2
1 1 3
2 2 0
0 3 2
1 2 2
0 1 3
10 9
1 2 3
1 3 1
0 0 2
3 3 0
3 3 1
2 0 3
3 3 2
0 3 1
0 3 2
3 2 2
10 7
1 1 0
1 2 0
2 2 1
2 2 2
0 1 0
1 1 2
1 0 0
2 0 0
2 0 2
2 1 1
10 7
0 0 2
2 0 1
0 2 0
0 1 1
2 1 1
0 2 1
0 2 2
2 2 2
0 1 0
0 0 1
10 3
2 0 3
0 3 3
1 2 4
1 2 0
0 3 2
2 0 4
4 0 2
4 2 2
2 4 3
2 1 4
10 3
3 0 3
3 2 4
4 3 0
0 2 3
3 1 1
1 4 4
2 3 3
4 4 0
1 3 0
4 2 4
10 5
2 2 0
2 1 1
1 2 2
1 1 0
2 0 0
1 0 2
2 1 2
2 0 1
1 0 0
0 2 1
10 5
4 3 4
0 0 3
0 3 1
2 1 4
4 4 1
4 2 2
2 2 3
2 1 2
1 0 2
0 2 0
10 6
1 0 1
2 1 4
1 1 2
3 1 3
1 2 1
0 0 0
1 3 1
2 0 3
2 1 2
2 1 0
10 3
1 4 0
4 1 4
4 2 2
1 4 4
4 3 1
1 3 3
2 3 2
3 2 1
4 0 3
1 0 2
10 6
0 1 2
0 0 2
2 2 0
1 1 2
2 0 2
0 1 1
1 0 0
2 1 1
1 2 2
2 1 0
10 9
5 5 1
0 3 1
0 4 0
1 2 5
0 0 5
5 4 1
0 2 2
3 0 5
3 3 0
1 0 5
10 2
4 0 0
3 4 4
2 4 2
1 3 2
4 1 1
1 4 4
0 0 0
0 4 1
1 1 4
3 4 2
10 2
2 1 1
3 0 3
1 2 0
1 1 2
1 3 1
1 1 1
1 3 0
3 2 2
1 3 3
0 1 1
10 9
1 3 2
3 1 2
1 3 3
1 2 3
0 2 1
2 0 3
3 0 0
0 2 3
1 2 1
0 3 0
10 6
0 0 2
1 0 2
0 0 1
1 2 1
2 2 0
0 1 2
1 1 2
1 1 1
2 0 2
0 1 1
10 3
3 2 1
1 2 3
3 0 1
1 3 1
2 2 0
2 3 2
2 3 1
1 1 2
1 0 0
0 0 0
10 5
1 0 0
3 2 2
1 2 0
2 1 0
1 0 3
2 2 3
1 1 3
1 3 3
3 1 1
0 0 1
10 2
0 2 0
0 1 0
0 3 1
0 1 2
1 3 1
4 3 1
0 3 2
4 1 4
0 3 4
1 3 0
10 5
0 1 1
2 1 3
2 1 2
4 3 2
0 4 3
1 4 3
0 3 4
0 4 1
1 3 3
0 2 2
10 4
2 2 1
2 1 1
3 0 0
1 2 1
0 3 2
2 0 2
1 2 2
0 3 1
3 2 0
1 0 1
10 9
4 1 0
1 2 1
0 2 1
0 4 3
1 2 0
2 2 1
0 0 0
0 0 3
0 4 2
2 0 2
10 8
1 2 0
1 0 2
0 2 0
0 1 1
1 1 0
2 2 1
1 1 2
1 2 2
2 2 0
0 1 0
10 3
0 1 1
3 3 3
2 1 1
2 0 0
3 0 1
3 3 0
0 1 3
1 0 0
0 3 1
3 1 1
10 7
0 0 0
0 3 2
2 2 0
3 0 3
0 3 1
0 1 0
1 3 1
1 2 2
1 3 2
3 3 2
10 5
2 1 2
2 0 2
0 1 2
0 0 1
1 0 2
1 1 2
1 1 0
1 2 1
0 2 0
1 0 1
10 6
2 2 1
1 0 1
0 1 2
2 0 0
2 0 1
2 2 0
0 2 2
0 2 1
0 0 1
2 1 0
10 4
0 0 2
1 2 1
2 1 2
0 0 0
2 2 1
0 0 1
1 2 0
0 1 2
2 0 0
0 2 1
10 5
2 1 2
2 0 2
2 2 1
1 0 2
0 0 0
0 2 2
1 0 1
0 1 1
1 0 0
1 2 1
10 8
3 3 0
5 3 2
3 4 3
5 2 3
5 3 0
2 4 0
0 0 2
2 2 2
1 2 2
1 4 1
10 2
2 0 1
0 1 1
0 0 1
1 1 2
1 2 0
1 0 0
1 2 2
0 0 2
2 1 0
0 2 1
10 2
2 0 2
2 0 1
2 2 2
0 0 2
0 0 0
1 1 2
1 1 0
1 2 2
2 1 1
0 1 2
10 3
2 0 2
0 2 2
0 1 1
2 1 1
1 2 0
2 1 0
2 2 1
1 2 1
0 0 0
2 0 1
10 4
3 0 4
0 0 3
4 3 2
2 2 3
1 2 2
3 1 1
2 2 4
4 4 1
4 1 2
4 1 4
10 4
2 1 2
1 1 1
0 2 2
2 0 2
0 0 0
2 2 2
0 2 0
1 2 1
0 2 1
0 1 0
10 8
2 1 2
2 2 1
1 0 2
1 2 1
0 0 2
2 2 2
1 2 0
1 1 1
2 1 0
0 2 1
10 6
0 0 2
2 1 1
2 3 3
0 1 2
1 3 0
1 1 0
0 1 1
2 0 1
1 2 1
0 3 2
10 4
0 2 1
1 0 2
4 0 0
1 3 4
3 3 4
1 2 0
4 2 1
0 1 0
1 4 0
2 4 2
10 3
0 1 0
3 4 0
2 3 0
1 1 0
3 0 0
4 2 4
4 4 0
0 3 1
2 1 4
2 0 1
10 5
1 3 3
2 1 2
0 0 1
2 3 0
1 2 0
3 1 2
1 3 2
0 3 1
1 3 1
0 3 0
10 4
4 0 2
1 4 0
4 0 4
2 0 0
2 3 4
2 3 1
3 4 1
5 4 2
1 5 2
3 4 0
10 8
1 0 2
0 4 4
2 0 4
2 3 2
4 2 1
4 4 4
3 3 3
1 3 1
4 0 0
0 1 4
10 6
2 0 1
1 4 3
0 0 4
1 0 3
2 2 3
1 1 0
2 1 4
2 2 4
2 1 3
3 1 4
10 9
1 0 2
2 0 1
1 0 1
2 1 1
2 1 0
1 2 2
0 1 2
1 1 1
2 2 2
0 0 1
10 8
0 2 1
2 3 0
0 1 0
0 3 1
0 2 0
1 3 3
0 3 2
1 2 3
3 0 3
3 1 2
10 9
0 3 0
2 1 0
1 0 2
0 1 2
0 1 1
1 3 2
3 0 3
1 1 0
0 2 2
1 2 1
10 8
2 2 3
0 2 0
3 3 1
3 3 2
2 1 2
1 3 1
0 0 2
3 1 3
1 0 2
3 0 1
10 7
3 3 1
2 3 4
1 2 0
4 0 4
0 4 0
4 0 3
0 1 4
1 4 3
2 4 3
1 0 4
10 3
1 2 0
1 2 1
0 1 1
0 1 0
2 0 2
2 2 0
0 0 1
1 0 2
0 2 2
2 1 0
10 3
2 0 1
0 2 1
1 1 1
2 0 0
1 2 0
2 2 0
0 1 1
2 1 1
1 2 1
0 0 2
10 5
2 1 2
5 3 1
0 0 5
2 1 3
4 1 0
4 3 0
2 1 1
1 4 4
2 2 2
0 5 1
10 4
0 1 0
2 1 1
1 1 1
0 1 2
1 0 1
0 0 0
1 1 2
0 0 1
2 0 0
2 2 2
10 2
1 5 2
0 1 5
3 3 5
3 4 4
2 2 2
1 1 0
0 1 2
1 4 3
5 3 5
4 0 1
10 6
3 0 1
1 0 0
1 2 3
2 1 4
0 4 0
4 3 0
0 3 1
1 4 4
1 4 3
4 0 3
10 4
1 0 3
4 2 5
5 5 4
2 2 0
4 1 4
5 3 1
1 2 0
3 1 1
4 2 2
5 3 2
10 3
3 3 0
3 0 1
0 4 0
2 4 0
3 1 0
0 4 4
0 1 1
3 2 3
1 2 4
1 3 2
10 6
0 5 5
3 3 3
4 0 5
5 5 5
2 4 3
0 3 4
3 1 4
1 2 5
4 1 1
4 2 0
10 3
2 2 1
1 2 2
2 1 1
2 2 2
2 0 0
1 1 2
0 2 2
0 1 2
1 1 1
1 0 2
10 8
4 5 3
5 4 5
0 0 1
2 0 1
1 0 3
2 2 4
5 5 4
3 3 4
4 1 0
3 4 2
10 3
2 2 0
1 3 3
2 0 2
1 1 0
3 2 2
2 2 3
3 2 0
3 2 3
3 3 1
0 2 3
10 7
4 5 4
2 3 0
0 2 5
0 4 1
0 1 0
3 4 2
3 4 1
4 3 1
3 1 4
1 5 0
10 9
1 0 1
2 1 1
1 0 0
2 0 0
2 1 0
1 1 2
2 2 1
0 0 0
0 0 1
1 2 1
10 2
3 3 0
2 1 2
1 0 0
4 3 0
1 1 3
0 3 4
3 1 0
4 1 2
1 0 2
4 0 0
10 2
4 2 0
4 1 0
1 1 4
1 3 2
0 0 0
0 4 3
3 3 4
0 4 2
3 4 2
0 1 1
10 6
3 3 1
1 1 0
3 3 0
1 0 0
0 1 1
1 1 3
2 2 3
1 3 1
1 0 2
0 0 0
10 7
0 3 2
2 0 0
0 0 3
3 3 0
0 1 1
0 2 2
0 0 2
1 2 1
0 3 0
3 2 0
10 5
2 0 1
1 2 0
1 0 0
0 1 2
1 1 0
1 1 2
0 1 0
0 0 1
1 2 1
0 2 1
10 8
5 3 2
1 5 4
0 3 5
0 4 3
2 0 3
2 4 1
5 5 4
4 0 2
2 3 2
3 3 5
10 8
2 0 1
1 1 2
3 2 2
1 2 2
3 0 3
2 2 2
0 1 3
1 3 0
2 0 3
1 3 3
10 3
2 3 0
1 3 1
3 1 2
2 2 2
1 0 2
3 3 3
1 0 0
3 2 2
0 0 1
3 1 1
10 3
3 2 0
1 0 1
3 0 1
2 1 2
2 1 1
1 3 0
0 2 1
0 1 1
1 2 3
2 1 0
10 4
0 2 1
0 1 1
1 2 1
0 2 2
2 2 2
1 2 0
0 1 2
0 0 2
1 1 0
0 1 0
10 7
2 1 0
0 1 1
0 2 0
2 0 0
1 0 2
0 0 2
2 2 1
0 2 2
2 0 2
2 1 1
10 4
3 1 3
0 0 2
1 2 2
0 2 3
3 0 1
1 0 1
2 3 2
2 3 0
2 0 3
0 2 2
10 7
4 4 4
3 3 0
4 0 4
3 4 4
4 3 2
3 4 1
3 0 2
1 3 1
0 3 2
3 0 3
10 6
2 3 0
0 1 4
0 4 1
0 0 4
4 3 0
0 0 2
1 1 2
2 3 3
4 0 2
2 2 0
10 8
0 1 2
1 2 1
0 0 0
1 1 1
1 0 0
0 0 2
0 1 0
0 0 1
2 1 1
1 1 2
10 9
3 4 2
3 2 2
3 0 3
1 3 3
1 0 2
2 1 3
4 0 1
4 0 3
4 2 3
2 4 2
10 6
0 3 2
2 3 2
3 3 1
1 2 1
2 3 0
2 1 1
2 0 1
0 2 1
1 1 1
0 0 2
10 2
0 0 1
0 1 0
0 0 2
1 2 0
1 1 2
0 2 0
2 0 0
2 0 2
0 1 1
2 0 1
10 9
0 2 1
1 1 0
0 2 0
1 2 0
0 1 2
2 1 0
1 1 1
1 0 1
0 1 0
1 0 0
10 6
0 1 3
2 2 1
1 2 3
1 1 0
0 1 1
0 1 0
0 3 0
3 0 2
3 3 3
1 1 1
10 4
0 1 3
1 0 1
4 1 0
1 3 3
0 0 0
0 0 3
4 2 1
0 2 2
4 0 3
3 0 1
10 8
2 2 0
2 2 2
0 0 1
1 2 0
2 0 0
1 2 2
2 2 1
1 0 0
0 0 0
0 1 0
10 7
5 2 0
0 3 2
5 1 0
3 0 1
0 4 0
5 2 3
4 3 1
5 1 1
4 5 1
3 1 5
10 8
3 1 4
2 4 0
3 0 3
0 0 3
2 1 4
2 0 4
1 0 0
3 2 1
1 1 3
1 0 4
10 5
5 2 5
5 0 0
0 4 3
2 1 3
2 2 3
1 2 1
1 3 5
3 2 1
0 5 5
0 4 0
10 3
0 2 4
2 3 4
3 0 1
1 5 5
5 3 2
0 0 5
4 5 4
4 2 4
5 2 5
1 4 3
10 9
1 1 1
3 3 1
0 1 0
2 3 2
0 2 1
2 1 0
3 3 3
0 3 2
2 0 3
0 1 2
10 7
1 0 3
2 0 2
1 0 1
3 3 3
3 2 1
2 1 2
1 3 3
2 2 1
1 0 2
3 0 0
10 6
0 1 2
2 0 1
0 0 1
2 1 0
1 2 2
0 2 0
0 1 1
2 0 2
2 2 0
2 1 1
10 3
4 2 0
1 0 1
4 3 4
4 5 0
3 5 0
4 3 5
4 4 0
1 1 0
4 1 2
2 2 1
10 9
4 0 1
4 3 4
1 3 5
0 0 0
3 0 0
1 2 3
4 0 0
0 2 5
4 0 2
1 1 4
10 8
1 0 2
2 2 2
0 2 2
0 0 0
1 0 0
0 3 3
1 3 3
1 1 3
0 2 3
3 2 0
10 5
2 3 2
2 1 2
3 2 1
2 2 0
0 2 1
2 0 2
0 3 3
0 0 3
0 1 1
3 1 1
10 8
0 0 1
1 0 0
2 0 1
1 1 2
1 0 1
2 1 1
2 1 0
0 1 1
1 2 1
0 1 0
10 2
2 0 1
3 0 1
0 0 2
1 1 2
3 3 0
0 2 0
3 0 0
1 2 1
3 1 3
2 2 2
10 8
0 3 3
0 2 2
3 3 1
1 2 0
2 3 2
2 2 0
2 0 1
1 0 0
3 2 2
0 3 0
10 9
1 3 2
2 0 0
0 0 3
0 3 2
1 0 3
1 2 1
3 0 2
3 0 0
0 1 1
2 1 3
10 4
3 4 4
3 0 2
0 0 2
0 5 5
1 2 5
3 0 5
2 4 5
3 4 1
3 1 4
4 2 0
10 5
0 1 0
1 1 2
0 1 1
1 0 0
2 1 0
0 2 2
1 2 0
1 1 0
1 2 2
2 2 0
10 2
0 1 2
1 1 2
1 1 0
2 1 0
0 2 0
1 1 1
2 2 1
1 2 2
0 0 1
0 0 0
10 5
4 2 1
1 3 0
2 0 3
4 0 1
3 0 4
4 3 4
3 3 3
4 1 3
4 3 3
1 3 2
10 4
0 2 1
1 1 0
2 0 0
1 0 2
2 1 0
2 0 2
0 1 1
1 2 2
0 0 2
0 1 0
10 9
0 0 0
0 3 1
0 0 3
0 3 2
1 2 3
2 1 2
1 3 3
1 2 1
1 0 2
1 2 0
10 5
0 2 1
2 0 1
3 4 4
1 0 0
0 0 4
2 1 1
2 2 2
3 1 1
0 2 2
4 1 3
10 7
4 2 4
2 0 2
0 0 0
2 1 4
0 1 0
3 4 0
3 1 0
1 0 0
0 2 1
3 1 2
10 6
3 3 4
1 0 5
3 1 5
3 5 4
1 3 0
5 3 3
3 5 5
4 2 3
0 1 3
1 3 4
10 7
3 4 0
1 3 2
1 0 1
1 2 2
3 0 4
2 2 1
2 3 1
4 2 1
0 3 1
0 0 4
10 4
1 2 0
2 0 2
0 2 1
0 0 1
2 2 2
1 2 2
1 0 2
1 0 0
0 1 2
1 1 0
10 3
2 1 3
2 0 1
4 2 0
1 3 2
3 2 1
0 0 5
0 2 0
3 3 2
1 1 4
5 4 1
10 8
1 3 2
0 1 2
1 1 0
0 3 0
1 3 1
2 1 3
2 0 1
1 0 3
0 0 0
3 0 0
10 8
3 2 3
2 0 2
3 2 2
2 3 0
1 3 3
2 1 1
2 3 1
3 0 1
3 2 1
2 0 1
10 7
0 1 2
2 1 0
1 2 2
0 0 0
0 2 0
1 2 0
2 2 0
2 1 1
0 2 1
2 0 1
10 9
2 2 3
3 0 2
1 3 0
0 2 2
2 3 1
3 3 0
0 3 2
3 1 0
1 0 2
1 1 3
10 5
2 2 1
0 3 0
1 3 2
0 3 3
3 3 2
3 2 2
3 2 3
1 2 0
1 1 2
2 2 0
10 6
1 0 3
0 1 3
0 3 0
0 1 2
1 2 1
3 3 3
2 1 1
1 3 2
1 1 1
3 0 0
10 2
0 2 2
2 1 0
1 1 0
0 0 2
0 1 2
1 1 2
0 2 1
2 0 2
2 0 0
1 1 1
10 3
3 3 0
3 0 0
4 0 3
1 3 2
1 3 3
0 3 1
3 4 2
4 0 1
4 4 1
4 2 0
10 6
3 4 3
4 1 1
3 4 0
3 2 3
2 2 1
0 4 1
1 0 3
1 2 3
2 1 4
4 2 2
10 2
4 5 4
1 3 4
2 0 5
4 2 0
5 1 0
4 0 2
4 5 1
3 1 3
3 5 3
2 5 1
10 2
1 0 0
0 1 2
1 1 0
1 1 1
0 2 0
1 0 2
0 1 1
2 2 0
0 1 0
2 1 2
10 6
3 2 1
0 5 5
0 4 3
0 0 3
1 2 5
0 0 5
4 5 5
5 5 0
2 3 3
2 1 1
10 8
1 4 1
1 3 0
3 1 4
0 3 3
1 4 2
5 2 5
5 0 2
1 2 1
3 4 2
5 5 3
10 5
0 0 1
2 2 3
3 3 2
2 1 0
2 1 4
1 4 3
1 2 2
2 0 4
2 2 0
0 3 2
10 2
3 3 0
1 0 1
3 2 3
0 1 0
3 0 2
1 2 1
0 2 3
1 0 2
3 2 2
3 1 0
10 3
2 3 0
3 0 3
1 2 0
1 0 0
0 0 3
2 1 0
2 0 2
2 1 1
1 0 1
2 0 1
10 7
2 3 3
1 1 3
3 1 3
1 2 3
1 1 2
4 3 3
1 2 4
3 2 3
0 0 2
1 4 4
10 4
5 3 2
5 5 5
2 1 0
2 1 5
1 3 2
1 1 1
1 1 0
5 1 4
0 0 0
4 1 1
10 5
2 1 1
4 2 1
3 2 1
2 3 0
3 1 0
1 1 0
3 3 1
3 4 0
3 3 0
1 4 1
10 2
1 4 3
3 4 3
3 4 4
3 4 0
2 0 1
2 4 1
2 2 2
2 2 1
3 2 1
3 3 4
10 6
1 1 1
1 1 2
0 1 0
1 0 1
0 1 1
2 2 0
2 0 2
2 1 0
2 1 2
1 2 0
10 5
0 3 1
0 0 1
1 0 1
2 1 1
1 3 3
2 0 3
3 3 1
1 3 1
3 2 1
0 3 0
10 9
1 1 2
1 1 1
0 2 1
0 2 2
1 2 0
2 1 1
2 1 2
0 1 0
1 0 1
1 1 0
10 4
0 0 2
1 2 1
1 0 1
2 1 0
0 0 1
0 0 0
1 2 0
2 2 0
2 0 0
0 1 0
10 4
0 2 1
2 0 1
2 0 0
0 2 2
3 2 0
0 3 0
3 3 3
3 2 2
3 2 3
3 3 1
10 3
1 2 2
1 2 0
1 0 2
0 1 1
1 1 1
2 0 2
2 2 1
2 0 0
2 0 1
2 2 2
10 8
1 1 2
0 2 2
0 2 1
0 1 0
2 0 1
1 2 0
2 0 0
1 2 1
2 2 2
2 0 2
10 9
2 0 0
2 0 1
1 1 0
2 2 0
2 0 2
2 1 0
1 1 1
0 0 1
1 0 0
2 1 2
10 3
4 3 5
0 4 0
5 4 1
3 2 3
0 4 2
1 5 0
0 3 5
0 5 5
2 2 4
2 1 2
10 6
3 4 2
1 1 4
3 1 0
1 3 1
4 1 0
3 3 3
0 2 4
4 4 0
1 1 0
2 0 0
10 5
0 0 2
1 1 2
2 0 2
0 2 2
2 2 0
0 1 2
2 1 2
0 1 0
0 2 0
2 2 2
10 7
1 1 2
2 1 2
0 2 1
0 0 1
1 0 1
1 1 1
2 2 2
1 0 0
0 1 0
2 0 0
10 6
3 5 3
3 5 1
2 3 2
5 0 5
1 1 0
3 2 0
0 4 3
1 3 1
5 4 1
1 5 5
10 3
4 1 4
5 3 5
5 1 4
1 0 0
1 1 2
2 1 0
5 3 2
5 1 3
0 3 4
0 0 5
10 8
2 3 3
5 1 1
1 5 0
0 5 3
3 0 0
5 0 4
1 2 0
2 5 4
4 1 2
2 0 1
10 9
1 2 3
4 1 1
3 1 4
3 2 2
2 3 0
0 0 4
4 3 4
3 1 1
1 0 0
2 1 1
10 2
4 1 3
0 0 3
0 1 0
0 0 2
1 1 0
1 2 0
3 2 4
4 2 3
3 2 1
4 4 2
10 2
0 4 1
5 4 2
4 5 4
2 4 2
5 5 0
1 5 4
2 3 4
5 1 2
0 1 3
3 0 3
10 3
0 1 0
2 0 0
0 2 0
1 1 2
1 1 0
0 0 1
1 2 0
2 1 0
0 2 2
2 2 0
10 9
2 0 3
2 1 4
3 4 0
4 3 1
4 0 0
2 0 1
4 4 2
2 1 3
3 4 4
0 0 2
10 3
5 1 2
5 0 1
2 2 2
0 0 5
4 2 0
5 3 2
4 3 4
4 5 0
5 4 1
3 1 3
10 8
0 0 0
3 2 0
0 2 1
1 0 0
3 0 2
2 1 0
3 2 1
3 2 3
2 0 0
1 1 3
10 7
2 1 4
4 3 0
5 1 2
4 1 3
3 3 4
2 5 0
2 1 0
0 5 5
5 0 2
1 1 5
10 3
2 1 1
0 1 0
0 2 1
2 0 1
0 0 1
2 2 0
0 0 0
1 0 2
1 2 0
2 1 2
10 5
1 3 1
0 0 3
0 1 1
2 0 2
1 1 1
3 3 2
1 3 3
2 2 0
1 3 0
2 0 3
10 7
0 2 1
0 0 1
1 0 1
2 2 1
1 2 1
0 2 0
1 1 0
1 1 2
0 0 0
0 2 2
10 7
1 2 2
0 0 2
0 2 0
0 0 1
0 2 1
2 0 1
2 0 0
1 1 2
2 1 1
2 1 2
10 3
1 1 2
2 0 3
5 4 5
1 3 4
2 2 0
3 3 1
1 4 3
4 2 5
0 2 3
5 5 0
10 4
0 3 2
2 0 2
1 2 0
1 1 2
1 3 0
0 1 3
2 2 2
1 1 1
1 0 2
1 3 2
10 2
4 3 0
1 0 1
4 1 2
0 1 0
4 2 3
2 0 2
3 4 2
0 0 3
0 1 4
1 0 0
10 6
2 2 2
2 2 0
1 0 2
2 0 1
2 1 2
2 0 2
0 2 1
1 0 1
1 1 2
0 0 2
10 4
0 2 3
2 0 2
2 1 3
0 3 0
3 1 3
1 1 3
2 0 0
1 3 0
0 1 1
1 1 1
10 5
1 3 0
1 1 1
5 3 3
2 3 5
2 0 4
4 1 5
1 5 1
5 4 2
2 2 2
2 5 2
10 2
2 3 0
2 1 3
2 1 2
0 3 2
1 1 0
2 0 0
1 2 2
3 2 0
1 0 1
0 0 1
10 5
4 0 0
5 0 4
3 4 2
3 3 3
0 0 0
1 3 3
4 0 1
2 2 5
3 2 2
1 3 1
10 9
2 2 3
0 1 0
1 0 0
0 1 1
0 2 0
3 2 3
2 3 2
2 3 0
1 2 0
2 2 1
10 6
0 5 4
3 5 4
5 1 1
4 5 5
0 5 0
3 3 1
2 3 3
2 4 5
5 1 0
0 3 2
10 9
0 0 3
0 2 2
1 3 3
1 2 1
1 1 3
2 4 4
0 0 4
4 1 3
2 1 2
1 2 2
10 2
5 4 4
5 3 1
2 3 4
1 2 3
2 5 4
3 4 2
3 2 0
2 0 1
1 1 2
3 4 3
10 4
1 0 2
0 1 2
2 2 1
0 0 2
0 2 1
1 2 1
2 2 2
1 2 2
0 2 0
0 0 1
10 9
0 0 1
1 3 3
3 0 0
3 1 2
2 0 2
3 2 0
3 3 2
0 1 3
0 3 3
2 0 1
10 9
0 2 3
3 4 0
3 2 0
1 1 2
1 4 0
2 4 2
1 2 4
1 3 0
4 4 4
2 2 3
10 3
3 3 1
2 3 1
2 0 3
2 2 3
2 2 2
0 2 3
1 3 1
1 0 3
1 1 2
1 2 0
10 9
1 4 2
3 3 1
2 1 4
2 2 3
0 3 1
3 4 4
0 2 4
2 4 4
2 0 3
3 4 3
10 2
1 3 4
1 0 0
1 1 1
1 1 3
0 4 1
1 2 4
1 1 2
2 1 0
4 3 3
2 0 0
10 5
2 1 2
2 0 1
0 2 0
2 2 1
0 0 1
0 0 2
1 2 2
0 0 0
1 0 2
0 1 1
10 3
1 3 4
3 1 3
3 4 0
3 2 4
5 2 3
5 5 1
2 2 3
1 4 2
2 5 4
5 4 3
10 8
1 1 2
1 2 2
1 3 1
3 1 0
0 2 3
0 1 0
2 3 2
0 1 1
2 2 3
1 1 3
10 9
0 0 2
2 1 4
4 1 0
2 2 1
1 2 2
4 2 1
1 0 4
3 0 1
0 0 3
2 2 0
10 5
2 2 1
1 0 0
0 1 1
2 0 0
0 2 2
2 0 1
0 0 1
1 2 1
2 2 0
0 2 1
10 6
2 2 2
1 2 1
0 0 2
2 0 1
0 1 2
0 1 0
0 2 0
1 1 2
2 2 0
2 1 2
10 2
3 3 2
2 0 2
3 1 4
1 4 3
1 3 2
0 2 2
3 2 3
1 1 1
4 1 1
1 3 3
10 6
0 2 5
1 1 5
2 4 0
4 0 5
5 0 1
4 5 2
3 4 5
2 3 2
4 0 0
2 5 3
10 2
1 1 0
2 0 1
0 0 0
2 1 2
2 1 1
2 1 0
1 2 0
0 2 0
1 2 2
1 0 1
10 3
4 3 3
3 0 4
0 2 1
1 0 5
0 0 1
5 5 1
3 5 4
5 3 0
5 1 5
0 1 0
10 4
3 2 3
3 0 0
0 2 1
3 1 1
2 3 3
3 2 2
1 1 1
3 3 0
3 2 0
1 0 0
10 6
5 5 1
5 1 0
2 1 1
2 2 3
4 1 2
4 2 1
0 5 0
2 1 5
0 5 4
1 4 0
10 8
5 0 0
5 3 1
3 4 2
2 5 0
5 0 4
4 4 0
0 2 2
0 0 2
4 4 3
2 1 3
10 3
2 3 0
3 5 1
4 5 0
1 1 3
3 2 0
0 3 0
0 2 3
5 3 4
3 2 3
0 5 4
10 4
1 2 0
2 0 2
0 0 1
1 1 1
2 2 0
1 0 0
1 0 1
2 1 1
0 1 2
0 2 2
10 6
4 2 4
3 3 4
1 2 0
1 0 0
1 3 3
2 3 2
1 0 4
1 2 3
3 0 3
2 2 4
10 3
2 0 2
2 1 2
0 2 2
1 2 1
2 2 2
2 0 0
1 2 0
2 2 0
0 1 2
1 0 1
10 3
1 2 1
0 2 2
0 1 0
2 2 1
0 2 0
1 0 1
1 1 2
0 0 2
2 0 0
2 0 2
10 4
4 4 2
0 0 0
1 2 4
1 4 1
3 1 1
2 0 0
2 2 0
2 1 2
0 1 0
3 0 3
10 8
3 4 2
1 4 2
3 4 0
3 0 3
0 3 3
0 0 3
2 3 0
3 0 2
0 2 1
3 0 1
10 7
2 4 0
4 3 0
0 1 0
5 2 1
4 4 5
0 2 2
0 0 3
1 5 5
3 0 1
3 0 5
10 4
2 0 2
3 2 3
2 0 0
0 1 1
2 1 0
1 2 0
1 0 1
3 3 1
3 1 2
0 1 3
10 3
2 0 4
1 2 1
3 3 3
4 2 4
3 0 1
2 2 0
2 1 4
1 0 0
3 0 0
4 3 4
10 2
1 1 0
2 2 0
0 1 1
2 0 0
2 1 2
0 0 0
1 0 1
0 2 1
2 2 2
1 2 1
10 3
5 2 5
4 1 4
5 2 2
0 4 1
5 3 0
1 5 3
2 1 5
1 1 1
3 4 3
0 4 2
10 4
2 1 2
1 0 2
0 2 1
1 0 0
1 2 2
1 2 0
2 0 2
0 1 0
1 0 1
1 1 1
10 8
5 4 2
1 2 0
5 1 5
5 1 0
0 1 3
0 0 5
0 4 4
4 1 5
1 4 0
2 1 3
10 2
0 3 2
2 1 0
1 1 3
1 2 0
0 2 0
0 2 3
3 2 2
1 0 3
2 3 2
1 1 2
10 4
1 3 0
3 0 3
2 3 3
2 3 1
0 3 3
3 0 1
1 0 3
1 0 2
0 3 2
2 1 2
10 9
2 5 5
2 2 5
3 4 0
2 1 0
2 1 1
1 1 4
0 1 4
0 5 1
1 1 2
1 2 4
10 7
3 4 1
1 0 0
3 3 2
1 3 2
1 2 0
0 2 3
4 1 2
0 0 2
4 0 1
4 3 3
10 5
2 4 5
1 5 3
1 0 0
1 5 5
5 5 1
3 5 1
4 1 1
5 4 2
4 2 0
0 1 5
10 8
0 0 5
5 2 4
0 2 1
5 0 3
2 4 3
1 0 4
5 3 1
1 3 5
3 0 2
3 2 2
10 2
0 1 2
0 1 1
2 0 2
0 2 2
1 2 2
1 1 0
0 0 1
2 2 2
2 0 0
2 1 1
10 4
1 1 1
0 0 2
0 2 2
2 0 0
0 2 0
0 1 0
1 2 0
1 2 2
1 0 1
2 0 2
10 8
2 0 0
3 3 4
4 3 0
4 0 3
2 1 4
4 2 1
4 3 2
3 2 3
3 3 0
0 4 0
10 6
3 2 5
2 0 2
0 5 5
0 3 5
5 5 2
1 4 3
2 0 0
0 1 2
1 2 2
0 0 1
10 4
2 2 2
3 3 0
3 3 2
2 0 0
1 0 3
0 2 0
1 1 0
2 0 2
2 1 0
0 1 3
10 8
3 0 0
0 0 2
3 1 2
1 2 2
3 3 2
2 0 3
2 2 1
1 3 3
0 0 0
0 2 0
10 6
2 1 2
0 3 0
0 2 0
1 3 2
1 2 0
2 3 1
1 2 1
3 1 0
2 3 0
0 1 0
10 8
3 3 0
2 2 3
5 3 4
5 3 0
5 2 4
5 0 5
0 0 2
2 3 2
2 1 2
0 3 2
10 3
0 1 2
2 2 1
3 0 0
4 0 2
3 5 3
5 1 5
5 0 4
3 1 3
3 2 2
2 3 5
10 8
2 0 2
1 2 1
2 2 0
1 1 1
2 0 1
0 2 2
1 1 2
2 2 2
1 2 0
1 1 0
10 4
2 1 2
0 2 1
2 2 0
0 2 2
1 1 0
1 2 2
1 0 0
2 1 0
0 2 0
1 2 1
10 3
3 3 0
2 3 2
1 2 1
0 3 2
2 2 0
1 1 2
3 0 2
1 3 0
1 3 1
3 0 3
10 9
0 3 3
0 1 1
1 1 3
3 0 1
3 1 3
0 3 2
3 2 2
2 1 3
0 3 0
2 1 1
10 8
1 3 1
3 1 4
2 3 3
0 2 3
0 4 0
1 1 1
3 3 3
0 4 3
4 0 3
1 2 0
10 9
1 3 1
3 2 4
2 3 2
1 3 2
4 1 0
2 4 3
1 2 3
1 3 0
4 2 0
3 2 3
10 3
2 3 4
4 4 0
0 1 1
2 0 4
1 2 4
4 4 1
0 0 4
0 2 2
2 4 0
1 0 4
10 7
0 1 2
2 1 2
1 1 1
1 0 0
2 2 2
1 1 2
2 2 1
2 0 1
0 2 0
0 2 1
10 4
3 4 0
2 2 2
4 2 4
3 3 0
3 1 2
2 4 3
2 3 3
3 1 3
1 2 1
3 0 3
10 8
1 1 5
5 0 1
2 4 0
3 1 0
1 0 4
0 0 2
1 4 5
5 4 0
4 0 1
3 2 2
10 9
3 4 3
4 0 4
0 4 4
0 2 0
1 2 4
2 0 0
4 1 0
3 1 3
3 1 0
4 4 3
10 2
0 4 4
0 3 4
2 1 2
3 4 2
5 0 1
4 3 4
3 0 0
1 0 3
3 0 5
5 1 4
10 8
2 0 1
2 2 0
3 3 0
0 1 1
0 2 0
3 1 0
2 0 0
1 2 0
2 3 0
4 2 1
10 5
1 3 2
0 3 0
2 4 4
3 4 1
2 3 3
2 4 3
3 2 1
2 2 1
1 1 3
2 1 1
10 9
0 5 2
2 2 2
0 1 2
4 0 4
0 4 4
5 2 1
4 2 4
0 3 3
3 1 0
5 3 2
10 9
1 2 1
2 2 1
0 2 2
2 0 0
1 1 2
1 1 0
0 0 0
0 0 2
1 2 2
2 0 1
10 9
1 3 2
1 2 1
2 0 2
4 3 0
3 1 0
3 3 2
4 4 1
1 1 1
1 3 0
3 0 0
10 9
0 2 1
4 3 4
4 1 2
4 2 2
1 1 2
3 5 1
1 5 3
2 3 3
4 3 0
3 5 0
10 7
1 2 3
4 4 3
2 2 5
2 3 4
4 1 1
2 0 0
5 0 5
4 1 2
1 4 1
3 2 2
10 3
0 1 5
0 5 4
1 2 4
3 1 1
1 3 2
2 5 2
0 4 3
0 1 2
1 3 5
3 0 5
10 6
2 1 2
0 2 2
0 1 2
2 2 2
1 0 1
0 1 0
0 0 0
1 0 2
0 2 0
0 1 1
10 5
0 2 2
1 0 1
0 2 1
2 1 1
1 0 0
0 0 0
3 0 1
2 2 3
2 3 2
1 2 3
10 7
3 0 1
1 2 3
2 2 0
3 3 0
0 3 3
0 2 2
0 1 0
3 3 2
1 1 0
0 2 1
10 5
4 2 3
3 5 5
1 1 3
3 4 3
1 2 1
0 2 0
0 1 2
0 4 1
4 0 1
4 5 5
10 5
0 1 1
0 3 1
1 0 0
0 1 0
1 3 2
3 2 0
2 1 0
0 2 1
0 0 2
3 2 2
10 6
1 3 0
0 1 4
4 2 1
4 0 4
1 0 4
3 1 0
2 3 4
3 4 3
3 4 4
4 2 4
10 5
0 1 2
1 1 0
0 2 0
1 0 1
0 2 2
0 0 2
0 1 1
2 1 0
1 1 1
2 1 2
10 8
0 0 4
3 1 3
4 2 2
3 0 2
5 3 4
0 4 2
1 5 2
0 5 5
2 2 4
3 2 3
10 5
1 0 4
4 4 5
1 3 5
0 5 5
1 0 3
2 1 0
3 5 4
4 0 5
4 0 4
0 1 4
10 2
4 3 3
1 4 0
2 0 3
2 4 3
2 2 3
3 0 3
3 2 0
2 1 1
1 3 0
1 4 4
10 4
0 2 2
1 1 1
1 2 1
2 2 2
1 1 0
0 2 0
0 0 2
0 0 0
1 2 0
0 1 2
10 4
0 1 2
0 0 2
2 2 1
0 1 0
0 1 1
1 1 0
2 1 2
0 0 1
2 1 1
1 2 1
10 3
1 2 2
0 2 2
0 0 0
0 0 3
1 2 0
2 3 3
0 2 1
2 1 2
3 3 0
1 1 1
10 4
3 4 4
0 3 1
4 0 2
4 2 2
3 1 3
1 3 1
4 0 0
1 0 0
4 3 4
4 4 2
10 5
1 1 1
1 0 2
1 0 1
2 0 0
0 2 2
0 1 0
1 1 0
0 1 2
0 0 2
2 2 1
10 8
0 1 3
1 2 0
0 2 0
2 3 0
2 1 1
2 3 1
3 1 1
0 3 1
1 3 3
3 3 1
10 5
4 1 0
3 2 4
3 2 1
2 2 2
3 0 4
0 2 2
3 4 4
3 1 2
2 0 2
2 3 2
10 9
1 1 1
0 0 5
5 4 1
3 1 4
3 5 3
4 2 3
2 2 5
1 3 5
1 5 5
0 3 4
10 7
2 1 4
3 1 4
2 5 1
2 4 0
1 2 0
2 2 0
4 1 1
3 5 1
0 1 5
4 1 5
10 6
4 4 2
1 3 3
4 2 2
4 5 1
2 5 2
3 0 4
1 2 0
3 2 0
4 0 0
0 3 1
10 8
1 0 1
1 3 1
1 2 3
0 2 4
4 2 1
2 3 4
1 3 4
3 1 3
1 2 0
2 4 1
10 5
3 2 4
5 0 1
5 4 5
3 5 3
5 2 2
1 1 0
0 1 2
2 3 0
2 0 0
2 1 0
10 9
1 4 2
1 3 0
3 3 1
1 0 1
2 4 3
3 2 0
0 0 2
2 1 0
2 3 3
3 1 0
10 3
2 4 0
3 4 4
3 4 2
0 3 1
2 1 4
4 2 3
4 4 3
2 2 3
4 1 3
4 4 0
10 6
3 2 2
3 0 0
0 2 1
1 1 0
1 2 0
1 1 1
0 2 2
1 3 0
3 3 2
3 2 0
10 4
1 2 3
1 5 2
3 1 5
0 2 2
3 0 4
5 5 2
1 0 2
2 5 4
2 4 0
2 2 1
10 6
1 1 3
0 1 4
3 0 4
3 0 0
5 2 3
4 5 2
0 5 2
3 3 2
1 1 1
0 3 4
10 9
3 2 2
1 4 5
4 5 2
2 2 5
2 4 2
3 1 4
0 5 0
1 3 4
3 4 3
4 4 0
10 7
2 1 1
2 0 0
1 0 1
1 1 2
1 1 0
1 2 2
0 0 2
1 0 2
2 2 0
1 2 0
10 8
0 4 4
4 3 4
1 4 3
4 3 0
4 0 3
4 4 4
3 0 3
1 4 0
0 4 3
3 3 0
10 2
1 0 2
0 2 0
1 2 0
0 1 0
2 1 2
0 0 0
2 0 1
0 0 2
1 0 0
1 1 0
10 7
1 4 4
3 2 1
1 2 1
3 2 0
3 2 4
1 0 0
3 3 3
4 2 4
0 0 1
2 2 0
10 9
0 2 2
0 0 1
0 1 3
2 1 3
0 1 2
3 3 1
3 1 3
1 2 3
1 1 2
1 2 1
10 6
3 3 1
2 0 1
3 1 3
0 3 2
3 1 0
3 3 0
0 1 1
0 1 0
3 2 2
1 0 0
10 8
2 4 3
2 2 1
0 3 3
1 0 1
0 2 2
0 4 3
0 0 4
3 2 3
1 3 0
3 3 4
10 3
3 2 2
0 4 1
4 3 3
2 1 2
4 0 0
0 4 2
0 2 0
3 4 4
0 2 3
1 0 4
10 3
2 2 2
0 1 1
3 2 0
0 1 3
3 1 0
1 3 1
1 0 0
2 1 0
2 0 3
1 2 2
10 8
3 0 2
3 2 3
2 3 1
3 0 1
0 1 2
0 1 1
1 2 3
3 1 1
3 3 2
3 3 1
10 4
2 0 4
4 3 3
3 0 3
1 3 4
4 1 2
2 4 2
2 1 4
1 2 0
2 2 2
0 4 3
10 6
1 0 0
1 3 2
0 2 2
0 4 1
1 3 4
4 0 4
3 0 2
3 0 1
1 4 3
4 0 2
10 8
4 2 1
1 0 0
3 0 4
1 4 3
1 3 2
4 1 2
4 4 0
4 3 3
0 3 2
1 2 1
10 2
0 2 2
3 3 1
3 2 4
0 0 1
3 0 0
1 4 4
1 3 2
4 4 3
4 1 4
3 0 2
10 4
4 3 2
0 3 1
1 4 0
0 1 3
0 0 0
4 0 4
2 1 0
4 1 4
1 4 2
3 2 2
10 5
2 1 0
0 0 1
3 2 1
1 2 3
3 2 3
0 0 2
0 3 2
3 1 0
1 0 3
3 1 1
10 3
2 3 0
2 0 2
0 0 1
1 2 2
2 0 0
3 1 1
1 0 1
0 3 3
0 1 3
0 2 1
10 5
4 4 0
4 1 1
4 0 4
2 1 3
0 3 1
3 4 2
3 3 4
4 1 2
4 0 2
2 3 3
10 9
2 2 1
0 0 2
1 0 0
1 0 2
2 1 2
2 0 2
1 1 2
0 0 0
2 1 1
1 0 1
10 8
2 0 2
2 2 2
2 2 0
3 1 3
1 3 2
1 1 2
2 3 1
3 0 2
0 0 0
1 1 0
10 7
4 2 0
3 5 5
5 2 0
5 0 0
1 2 5
2 0 3
2 1 1
2 4 5
3 0 2
3 4 0
10 3
2 2 0
1 2 1
2 2 2
1 1 2
2 2 1
0 0 0
1 0 1
1 0 2
1 0 0
0 1 1
10 9
1 1 2
1 2 1
1 0 2
1 1 1
0 0 1
2 0 2
2 1 2
2 2 2
2 1 0
1 0 1
10 8
1 2 0
2 2 1
4 4 3
2 4 2
0 0 2
1 2 1
1 0 4
3 2 3
1 1 1
4 1 2
10 4
0 1 2
0 2 1
1 1 0
0 1 0
1 0 1
1 3 1
2 0 2
2 2 0
0 2 3
2 3 2
10 9
3 1 5
2 4 2
0 3 2
5 5 0
5 5 1
2 3 3
2 0 1
1 3 5
4 3 5
1 2 5
10 4
3 1 1
0 0 1
0 1 0
2 0 3
3 2 3
3 0 1
0 0 3
2 3 2
2 0 0
1 1 1
10 2
3 2 1
0 2 0
2 2 3
1 2 1
3 4 2
4 4 0
0 4 3
4 1 2
2 2 2
4 2 1
10 8
4 2 1
3 0 3
3 4 2
4 3 2
1 2 4
2 1 0
1 1 1
4 3 0
0 0 3
4 2 0
10 2
0 2 3
3 0 3
3 1 3
1 2 2
2 3 0
3 3 1
3 2 2
1 1 3
0 0 0
2 0 2
10 7
4 5 0
2 1 2
4 3 4
2 2 2
0 2 2
4 5 5
1 2 4
5 4 2
5 3 1
2 5 0
10 4
3 4 1
0 4 4
0 1 2
2 4 1
0 0 0
4 2 4
3 4 0
2 2 1
1 1 3
4 1 3
10 8
3 1 1
1 3 1
3 2 3
2 2 2
3 3 2
2 3 0
0 0 1
0 0 2
1 0 1
1 3 0
10 9
0 1 0
4 5 5
2 3 3
1 5 4
0 3 5
5 5 2
5 3 1
3 2 0
1 0 0
3 4 5
10 9
1 2 5
5 5 1
4 2 1
5 4 4
2 2 1
4 2 0
5 1 2
1 5 5
5 1 1
0 3 5
10 7
1 1 4
1 3 4
2 2 1
2 4 1
2 3 3
3 3 0
2 2 4
3 3 1
1 2 4
2 4 0
10 7
3 1 2
3 1 1
1 1 0
1 0 3
3 2 0
3 0 1
3 1 3
0 0 0
1 2 3
0 1 3
10 6
2 1 2
1 2 1
1 2 2
0 0 0
0 2 1
2 1 0
0 2 0
0 0 2
1 2 0
1 1 1
10 2
5 2 0
2 2 3
2 1 4
0 1 4
3 0 5
5 3 0
4 0 0
5 3 5
3 1 3
4 0 1
10 6
0 1 1
4 4 1
0 2 5
5 5 4
5 1 5
0 3 3
3 5 4
0 4 0
3 0 2
5 2 0
10 2
3 0 4
1 0 0
3 2 4
1 2 1
0 1 1
0 4 1
1 0 2
2 4 4
4 3 0
0 2 3
10 6
0 2 0
0 1 2
2 0 1
1 2 0
0 2 2
2 2 0
1 1 2
1 2 1
2 0 2
0 0 1
10 4
1 1 0
2 0 0
2 0 2
1 0 0
1 2 1
0 0 1
2 1 0
0 0 0
2 1 2
0 2 0
10 2
1 0 0
3 1 0
0 3 2
3 2 0
3 2 2
0 1 1
2 3 3
2 3 0
0 0 2
1 0 2
10 7
3 0 0
0 2 2
3 5 0
2 4 0
4 5 0
2 2 1
4 0 2
2 4 4
5 4 0
5 1 2
10 3
1 0 1
1 3 3
0 3 2
1 1 4
3 4 0
0 1 2
4 2 2
3 4 4
3 1 3
1 2 4
10 5
3 2 1
2 4 1
3 0 2
4 1 1
1 1 3
0 2 3
4 4 2
1 3 2
1 2 4
3 1 2
10 7
0 3 2
3 2 2
1 0 1
1 2 2
3 0 2
2 1 1
2 1 0
3 0 3
2 3 1
0 1 3
10 8
1 0 1
0 0 0
2 1 1
0 2 0
1 2 2
0 1 1
2 2 1
1 0 0
0 0 2
2 0 1
10 7
2 1 2
2 1 1
3 3 3
1 1 0
2 3 2
3 0 3
3 3 0
2 1 0
0 1 2
0 2 3
10 4
3 2 2
1 1 1
1 2 1
3 4 0
3 3 3
4 1 3
1 2 3
3 1 4
4 3 4
4 4 2
10 9
4 2 3
1 1 3
0 2 4
2 3 0
4 3 4
4 1 0
0 0 4
1 5 2
0 0 5
0 5 4
10 4
0 1 0
1 2 2
2 0 1
1 1 1
1 0 1
2 1 0
1 2 0
1 2 1
0 0 0
1 1 2
10 4
3 1 0
4 2 0
3 3 0
0 1 4
4 4 3
2 2 4
0 2 3
2 2 1
4 1 3
1 4 1
10 4
2 0 1
2 2 0
0 1 1
1 0 1
0 2 2
1 0 2
2 2 1
2 0 0
1 2 1
1 2 0
10 4
0 4 5
5 2 4
2 5 2
1 2 5
3 2 3
1 2 0
3 5 4
3 4 0
4 3 5
3 2 0
10 5
0 5 3
2 4 3
2 4 5
0 0 2
3 0 0
3 5 1
1 2 4
2 4 2
2 0 5
1 2 5
10 6
3 0 2
2 2 1
0 3 3
2 3 3
3 0 3
0 3 0
0 2 3
3 1 2
2 1 1
3 3 3
10 8
0 1 1
1 2 2
0 2 1
2 2 1
0 1 0
1 2 1
0 0 1
0 2 0
2 0 0
2 1 1
10 6
3 3 0
2 0 1
2 2 1
1 0 1
0 2 1
3 3 3
0 0 1
1 3 1
2 1 1
2 2 3
10 3
0 4 1
2 3 4
1 3 1
2 4 3
1 0 0
2 1 0
2 2 4
1 2 2
3 3 3
0 3 2
10 6
0 1 2
1 1 1
1 1 0
1 0 2
0 2 0
1 1 2
0 0 1
0 1 0
2 1 1
2 0 2
10 5
2 4 4
0 2 0
3 1 3
2 4 2
3 2 3
4 0 3
4 2 1
0 4 0
4 1 4
1 4 1
10 7
3 0 1
2 2 0
1 2 2
4 4 3
3 3 4
1 3 0
4 1 0
3 2 2
0 4 0
3 0 3
10 5
2 1 2
2 1 1
1 1 0
0 1 1
0 0 2
0 2 0
2 0 2
2 1 0
1 2 0
2 2 0
10 9
4 4 1
4 5 3
5 4 1
0 1 3
2 1 3
4 0 2
5 3 0
5 0 3
1 3 5
5 5 2
10 9
0 4 4
2 1 3
2 2 3
0 3 0
0 3 3
3 1 0
1 0 1
1 4 0
2 0 3
4 3 4
10 3
2 0 1
3 2 1
5 1 5
1 2 3
2 1 1
0 5 3
3 1 4
0 5 0
2 4 2
0 2 2
10 3
3 1 3
0 3 0
5 3 4
3 3 0
1 1 2
4 2 3
4 5 4
1 3 3
2 5 2
0 5 3
10 9
0 2 0
1 1 3
4 4 3
0 4 3
2 0 1
1 3 3
4 3 2
3 2 3
0 0 3
4 1 1
10 3
0 0 0
1 2 1
0 1 1
0 2 0
0 1 2
0 2 2
1 0 1
2 1 2
2 0 2
2 2 2
10 9
0 1 1
1 1 1
2 1 0
0 0 1
0 2 0
1 1 0
0 0 2
0 2 1
1 2 2
2 2 1
10 7
2 1 1
0 1 2
2 2 1
2 0 1
2 0 0
1 1 1
1 0 1
1 1 0
1 0 2
1 2 1
10 3
1 0 2
1 1 2
2 2 1
0 1 0
1 2 2
1 1 1
2 2 2
2 1 2
2 1 0
0 2 0
10 8
1 1 2
1 1 1
1 3 3
1 2 2
0 2 2
3 0 0
3 1 2
1 0 3
2 2 3
1 3 0
10 5
1 0 1
0 0 2
0 2 2
1 2 0
2 2 1
1 0 0
0 0 0
1 1 2
0 2 0
2 0 2
10 9
0 2 2
2 0 5
4 5 4
3 1 1
0 2 1
0 1 2
3 2 5
4 2 3
2 0 0
0 5 1
10 8
1 1 2
2 2 1
2 3 0
1 0 1
1 3 1
0 0 1
2 2 2
3 2 3
0 3 0
1 3 3
10 4
4 1 1
2 3 1
4 5 2
3 4 2
1 5 4
4 0 3
3 3 4
5 3 3
3 5 3
2 1 2
10 9
0 0 4
0 2 0
4 3 2
4 0 4
5 1 0
0 3 3
4 1 0
0 3 1
2 2 5
1 0 5
10 2
1 0 1
2 5 2
0 5 4
0 4 1
5 1 4
3 0 5
5 4 5
5 0 1
4 1 2
3 2 1
10 8
3 0 3
0 0 3
0 0 1
0 3 2
1 0 2
3 1 3
0 1 3
0 1 1
3 1 2
2 1 3
10 6
3 3 1
0 2 0
1 0 0
2 4 3
2 2 2
3 0 1
2 0 1
1 3 4
1 0 2
1 3 3
10 3
1 3 1
0 3 2
0 1 0
0 2 3
1 4 0
1 3 2
4 3 0
4 0 2
1 0 0
3 0 1
10 5
1 1 2
3 2 3
3 3 1
3 2 2
3 1 3
0 1 0
2 2 2
2 1 0
2 0 0
1 2 3
10 5
4 2 2
4 0 4
1 3 3
5 0 1
3 5 5
4 2 4
0 2 3
0 3 5
3 0 4
0 4 3
10 7
2 0 1
0 0 0
1 2 2
0 0 1
0 2 0
2 0 0
2 2 2
0 0 2
1 1 2
1 2 0
10 3
4 3 0
3 1 1
3 4 1
2 0 3
4 4 3
2 4 3
0 3 3
2 3 1
3 1 0
1 4 4
10 2
4 4 4
1 5 5
2 2 0
3 4 2
5 2 5
4 0 0
2 5 1
3 2 3
3 5 0
5 3 1
10 7
2 0 1
3 0 3
0 2 0
0 3 3
2 3 1
1 3 2
1 0 1
1 1 2
3 1 1
3 3 2
10 7
2 1 2
2 2 0
1 2 0
2 2 2
1 0 0
2 1 1
0 1 1
1 0 1
0 2 2
2 1 0
10 2
1 3 2
2 0 0
2 1 0
2 0 1
4 0 3
0 0 0
4 0 4
4 4 3
0 0 1
0 3 2
10 8
2 0 0
2 1 3
3 1 1
2 4 4
0 1 1
3 2 4
2 4 3
3 4 4
4 4 1
1 2 0
10 6
2 0 2
2 1 3
3 0 2
3 3 3
2 3 2
3 1 0
1 2 1
3 1 1
1 1 3
2 3 0
10 7
2 1 1
1 2 1
0 2 2
2 2 1
3 3 0
3 2 0
2 0 0
2 2 0
3 2 3
3 0 1
10 2
1 1 1
1 0 1
0 1 1
0 1 2
0 0 0
1 1 0
2 0 0
2 2 0
1 1 2
1 2 0
10 5
4 2 4
2 2 1
0 1 0
4 0 3
0 2 0
3 2 3
4 0 4
3 3 3
2 3 0
4 4 3
10 8
0 4 4
2 4 1
4 4 4
0 2 4
4 1 1
0 2 2
0 3 1
2 2 1
1 1 1
3 0 3
10 7
1 0 1
2 2 1
1 3 3
3 0 3
3 0 1
3 3 2
3 2 3
1 1 1
3 0 2
3 0 0
10 5
0 2 1
2 0 0
1 0 1
2 2 1
1 2 2
0 1 2
2 0 1
2 1 1
2 0 2
1 2 0
10 8
1 3 2
2 2 2
0 1 2
3 3 3
2 0 2
2 2 1
3 0 2
3 0 3
2 0 3
1 3 0
10 2
5 3 5
5 2 3
0 3 5
4 5 0
0 4 5
2 5 2
0 1 1
0 3 1
0 5 5
4 5 4
10 3
1 1 2
0 0 1
2 3 2
0 1 0
3 3 2
3 3 0
1 3 2
0 3 1
2 3 1
3 2 0
10 6
3 0 2
0 1 3
3 1 1
2 3 3
0 0 2
1 3 0
1 0 2
2 2 1
3 0 3
0 3 3
10 9
0 0 4
1 1 4
4 1 2
3 1 2
1 1 1
3 3 3
2 4 3
0 4 0
4 1 1
1 2 1
10 8
0 3 2
2 4 0
3 0 5
5 5 5
2 0 2
4 0 2
3 5 3
2 1 5
3 4 3
0 0 3
10 8
5 2 3
4 0 0
4 5 2
1 2 0
0 4 0
1 5 2
2 5 1
3 3 2
2 2 0
2 2 2
10 3
2 4 0
0 4 0
3 4 1
4 1 4
1 4 1
3 3 2
0 3 2
0 2 0
2 0 0
2 3 4
10 6
1 0 5
3 0 0
5 4 1
2 2 0
1 3 4
5 4 3
2 5 2
0 4 5
3 0 4
0 3 5
10 4
1 2 0
2 1 1
0 2 2
1 1 1
0 1 1
0 1 2
2 1 2
1 1 2
2 0 1
0 0 1
10 9
1 0 1
2 0 3
1 0 3
0 2 3
1 0 0
0 2 2
1 2 3
3 2 3
1 3 1
0 0 2
10 9
1 2 3
1 0 3
1 3 0
4 2 4
4 1 2
0 1 4
1 1 1
1 3 3
3 3 0
1 4 2
10 2
1 1 2
1 0 1
0 0 3
3 3 1
3 1 0
2 0 0
0 1 0
1 2 0
2 0 2
3 2 3
10 2
1 0 1
1 1 1
1 0 0
2 2 0
2 1 0
1 2 0
1 1 2
0 2 2
2 0 1
2 2 1
10 2
1 1 0
2 0 0
0 2 2
1 1 1
1 0 0
0 2 1
2 2 2
0 1 0
0 1 2
1 2 2
10 4
1 3 3
3 2 5
4 0 3
3 4 5
1 5 0
1 0 3
3 1 2
3 5 4
3 1 1
4 3 4
10 3
0 2 2
1 2 3
4 4 4
3 0 5
5 4 4
5 5 2
4 0 3
0 4 2
4 2 2
2 5 1
10 6
0 2 0
2 0 0
1 0 2
0 0 1
2 0 1
2 1 1
0 1 0
2 2 0
0 1 2
2 0 2
10 7
5 1 5
2 0 0
2 4 0
5 4 0
1 1 3
3 2 2
0 0 0
4 4 5
0 3 2
1 4 3
10 8
0 3 3
2 2 3
3 1 0
2 1 0
3 0 3
3 1 1
3 2 3
1 2 0
0 3 0
3 3 0
10 6
0 2 2
2 1 0
1 0 2
0 2 0
1 1 0
0 0 0
2 1 1
1 2 0
1 2 2
2 0 0
10 7
2 5 3
3 4 0
5 0 0
0 1 4
4 1 0
4 2 1
2 1 4
3 2 3
5 5 3
1 3 1
10 4
2 4 1
0 4 3
4 3 3
1 1 1
3 3 2
1 0 3
4 4 0
3 4 0
3 0 1
2 3 4
10 7
0 0 1
2 1 0
2 2 1
1 0 0
1 1 1
2 0 1
2 0 2
0 1 1
0 2 2
2 2 2
10 7
2 1 3
3 3 2
0 1 1
2 0 3
3 1 2
2 2 3
1 0 2
0 3 3
0 1 3
3 2 3
10 2
0 1 0
2 1 0
0 1 1
0 3 1
0 0 0
1 2 2
2 2 3
0 1 3
3 2 1
3 3 1
10 6
3 4 3
3 2 3
1 4 4
4 0 1
2 4 0
4 4 1
2 1 3
0 2 3
4 3 3
4 4 0
10 5
2 2 0
0 2 0
0 1 0
1 0 0
2 2 2
0 0 2
0 1 1
1 2 1
0 2 1
0 0 1
10 8
2 1 0
2 2 2
2 1 1
1 0 2
2 0 0
1 0 1
2 2 0
0 2 2
2 1 2
1 1 0
10 6
1 1 4
0 3 1
0 3 5
4 0 1
0 1 1
3 2 0
1 4 2
2 2 5
4 3 0
5 3 5
10 3
1 4 4
4 3 0
1 0 0
0 1 0
3 4 4
2 4 2
3 1 1
2 3 2
3 2 0
1 0 4
10 4
2 2 1
2 1 0
1 1 1
1 1 2
1 0 0
0 2 1
2 2 2
0 0 1
0 1 2
2 2 0
10 6
2 2 3
0 2 1
0 4 2
2 1 2
2 0 0
4 0 2
1 2 3
2 4 4
4 1 0
0 4 1
10 7
2 2 3
2 0 3
2 3 3
0 0 2
2 3 0
2 2 1
3 1 1
1 3 0
0 2 1
2 0 0
10 5
0 2 2
2 2 2
0 1 0
2 1 1
1 2 1
0 1 2
2 2 1
1 1 0
2 0 1
0 0 2
10 6
4 0 4
0 1 0
0 1 1
4 0 1
4 0 3
4 1 0
0 0 0
2 4 1
3 4 3
2 4 0
10 4
2 2 1
0 2 2
2 0 0
1 1 0
1 2 1
2 1 2
0 0 2
0 2 0
2 2 0
0 2 1
10 6
1 2 2
0 1 1
0 0 1
2 2 2
1 1 1
0 1 2
1 0 2
2 0 1
0 2 1
1 0 0
10 9
0 5 3
4 5 2
1 2 0
3 0 3
1 5 5
1 4 5
2 4 0
2 5 4
2 2 1
2 2 4
10 8
0 1 2
1 0 1
2 1 0
0 1 1
2 1 2
0 2 1
0 0 1
1 2 1
1 2 0
0 1 0
10 9
1 2 0
0 1 1
0 2 2
1 0 0
0 1 0
1 1 0
2 1 2
0 0 2
1 2 2
0 2 1
10 9
2 3 1
1 2 3
0 1 0
0 2 2
1 1 1
1 1 0
1 3 1
3 0 1
3 2 1
2 2 0
10 5
1 3 4
0 0 4
0 4 1
4 0 0
0 4 2
1 4 2
2 4 3
0 3 4
0 0 1
2 4 1
10 7
0 5 0
2 3 0
4 0 0
0 2 0
0 0 4
1 0 4
4 1 5
3 1 1
3 0 2
0 2 2
10 7
2 1 0
1 1 2
1 2 2
2 2 1
1 0 2
1 1 0
1 2 0
0 2 2
0 1 0
2 0 2
10 8
0 0 0
1 0 3
3 2 3
3 0 3
0 0 2
1 1 2
1 2 2
0 2 0
0 0 1
3 2 1
10 7
1 3 0
0 3 2
2 3 1
3 3 1
1 3 3
2 2 3
2 1 0
0 2 1
1 0 2
3 3 3
10 2
3 0 3
2 3 0
0 0 3
3 3 2
1 0 2
0 3 3
4 1 2
0 4 3
1 0 4
3 2 0
10 9
2 1 1
1 1 2
2 1 0
1 2 1
2 0 2
0 2 2
1 2 0
2 2 1
0 2 1
1 1 1
10 9
3 3 0
1 1 2
1 1 3
2 2 1
2 2 0
3 3 1
1 0 0
0 2 3
1 1 0
0 0 0
10 5
2 2 0
0 1 0
2 2 1
1 0 0
0 1 1
1 2 1
1 2 0
1 0 2
0 0 0
0 2 1
10 5
0 0 0
1 2 0
2 0 1
2 2 2
0 2 0
1 1 1
1 0 1
2 1 2
2 1 1
1 1 2
10 9
0 2 0
3 2 1
0 3 1
3 3 1
0 2 2
1 3 1
1 0 0
3 2 0
2 2 3
1 3 3
10 7
1 2 5
4 1 4
2 0 4
1 2 2
4 4 5
4 5 4
5 2 2
1 2 0
5 5 5
5 4 0
10 3
0 1 2
1 0 0
0 2 1
2 2 0
1 0 1
1 2 1
2 1 2
1 2 2
1 1 1
1 2 0
10 9
0 3 3
1 2 1
1 3 0
3 1 0
3 3 3
3 4 1
1 4 2
2 2 2
3 0 1
2 0 4
10 5
1 3 1
2 1 1
4 1 4
0 2 3
5 5 1
1 2 4
4 0 1
2 1 3
2 5 5
3 4 4
10 7
2 3 2
0 2 0
2 4 0
3 3 3
3 1 4
1 1 1
3 3 1
2 0 3
3 0 2
1 0 3
10 7
3 2 3
3 5 5
0 2 4
1 2 4
2 2 2
3 2 5
2 3 0
5 1 0
2 5 0
3 0 3
10 7
4 2 3
0 4 2
3 0 1
0 5 0
2 2 3
0 2 3
2 1 1
3 0 3
5 5 2
4 2 2
10 3
5 5 3
2 1 4
2 4 3
1 1 3
4 4 3
3 1 4
5 4 4
3 4 0
4 2 3
5 2 1
10 7
1 2 0
1 1 2
0 2 0
2 2 2
1 1 0
2 0 1
0 1 0
1 0 1
2 1 2
0 0 1
10 6
0 4 3
0 2 0
2 4 1
5 3 1
2 0 2
2 0 3
3 3 4
2 3 1
4 2 2
4 1 5
10 3
2 2 0
0 2 2
0 0 0
2 2 1
1 0 1
2 1 2
2 0 0
2 1 1
0 1 1
2 0 1
10 2
2 0 0
1 2 1
0 0 0
1 1 0
0 2 1
1 0 1
2 1 1
2 2 0
1 2 0
0 0 1
10 3
0 2 1
1 1 1
2 0 0
1 2 2
1 0 0
0 2 2
0 0 0
1 2 1
2 1 2
2 2 1
10 7
0 0 1
1 1 3
0 0 0
1 2 0
2 2 3
3 1 0
3 0 3
2 0 0
2 1 0
0 1 2
10 9
0 1 0
2 2 2
1 0 2
2 2 0
2 0 1
1 2 2
0 1 1
0 2 1
0 2 0
0 0 0
10 8
2 0 0
1 0 2
2 3 3
0 3 3
2 3 0
3 0 2
2 0 2
1 3 0
2 1 1
1 1 2
10 7
1 4 1
5 0 5
0 2 1
1 5 2
2 1 2
0 4 5
1 3 3
5 5 0
5 5 4
3 4 4
10 4
2 4 3
0 4 1
3 3 1
1 3 2
0 2 3
4 4 0
2 1 2
2 3 2
3 3 3
1 3 0
10 6
4 5 3
0 3 5
1 3 3
3 0 0
3 3 5
2 3 3
2 5 3
5 0 3
2 0 3
2 3 4
10 5
3 0 4
0 4 2
0 1 2
2 3 4
0 0 3
1 2 0
2 2 4
1 1 1
4 4 2
4 1 3
10 6
3 2 3
0 1 1
0 1 0
2 1 1
3 2 2
3 1 2
0 0 1
1 3 0
0 3 2
3 2 0
10 3
0 5 5
4 4 4
1 5 1
5 5 1
2 3 0
5 5 2
1 1 2
1 2 0
3 2 1
3 3 4
10 5
4 3 4
3 0 3
4 4 3
2 3 0
2 1 3
1 2 1
4 1 0
0 1 1
2 3 2
2 0 3
10 8
1 1 1
0 0 2
1 0 1
3 2 1
1 2 0
3 0 0
1 0 2
3 3 3
1 0 3
2 3 0
10 2
0 1 3
0 0 3
0 1 2
3 0 3
0 0 1
2 2 2
2 1 1
3 1 2
1 0 3
1 2 1
10 5
1 1 4
0 2 3
4 0 2
3 2 3
1 0 2
0 4 1
4 3 0
4 4 3
2 0 1
1 4 1
10 6
1 2 2
3 0 2
3 3 3
3 0 3
1 3 1
3 3 1
0 3 0
2 1 0
2 2 2
1 0 1
10 6
2 0 1
1 2 4
4 2 1
4 3 1
2 0 2
0 3 4
0 1 4
0 0 2
2 4 1
2 1 3
10 7
2 4 4
4 2 3
3 4 5
2 2 5
5 0 3
4 1 4
2 3 0
1 1 5
0 1 3
0 2 1
10 5
1 0 4
1 0 1
4 1 1
2 1 2
3 5 3
3 1 1
1 5 2
0 0 0
3 4 1
4 2 0
10 6
1 2 1
1 2 2
2 0 1
0 0 0
0 1 1
0 2 0
2 2 0
1 0 2
1 1 2
1 2 0
10 5
4 3 3
4 2 1
4 3 0
3 4 0
0 4 2
1 4 3
1 2 2
1 4 4
2 4 4
0 3 0
10 8
0 2 0
1 2 2
4 3 0
4 2 1
1 2 4
2 2 1
3 1 1
3 0 4
1 2 1
3 2 0
10 8
3 2 4
3 4 1
0 3 4
3 1 4
0 4 0
2 4 3
4 4 2
1 4 2
1 0 3
4 0 0
10 6
1 1 1
2 0 1
1 2 1
0 0 0
0 0 1
2 1 0
2 1 1
0 0 2
1 1 0
1 0 2
10 6
1 3 3
3 0 0
4 1 3
3 1 1
0 0 1
1 2 2
4 1 2
2 0 3
4 1 0
0 1 2
10 9
4 3 1
4 2 4
3 4 2
3 2 3
4 1 0
4 0 0
4 2 0
1 4 4
3 0 3
4 3 0
10 8
1 1 2
4 2 3
2 1 3
0 3 1
1 3 2
1 2 4
4 3 0
4 0 3
4 2 0
3 0 3
10 4
2 2 0
3 4 2
2 2 1
0 0 3
1 0 0
1 1 1
4 3 4
3 1 3
2 4 4
2 0 0
10 5
3 0 0
1 1 1
0 1 2
2 0 1
2 1 0
0 3 0
3 3 2
1 0 3
0 2 0
3 1 1
10 4
0 5 4
1 3 2
3 5 2
4 0 4
1 4 0
5 4 1
5 4 2
5 1 3
5 3 5
0 1 4
10 4
4 1 0
3 4 0
1 1 4
4 4 0
1 2 0
3 3 1
1 3 4
3 2 1
1 3 0
2 3 2
10 2
0 0 2
3 0 2
0 3 1
3 2 1
2 3 3
1 2 3
0 1 2
3 2 2
3 3 0
2 0 2
10 3
1 0 0
0 0 1
2 1 0
0 1 1
2 2 0
1 1 2
0 1 0
0 0 0
0 0 2
1 0 2
10 3
1 3 3
0 0 2
2 1 1
3 0 2
1 0 2
1 1 3
1 3 0
3 1 3
0 1 3
2 0 1
10 7
3 0 2
1 1 3
3 2 1
0 0 0
1 2 4
4 2 2
2 0 2
1 0 1
0 0 2
4 2 4
10 3
2 2 1
1 0 2
1 2 2
2 0 0
0 2 1
2 0 2
1 0 1
1 1 1
1 1 0
0 0 0
10 3
0 1 1
0 1 3
1 2 2
2 0 1
0 2 3
3 3 3
0 2 1
1 3 1
0 2 0
2 3 1
10 4
0 1 0
3 5 4
0 2 1
5 1 3
0 1 1
1 3 1
1 3 0
1 5 5
5 2 2
1 5 1
10 4
2 2 4
2 5 0
0 0 4
0 3 0
4 1 4
1 3 3
1 0 2
0 3 4
3 4 3
4 0 3
10 6
2 0 0
2 1 0
0 1 2
0 2 0
2 2 1
1 0 1
1 0 0
0 1 0
2 0 1
2 1 2
10 8
3 1 4
0 0 1
1 0 3
0 3 0
0 2 0
3 3 3
4 3 4
4 2 4
0 3 3
4 0 3
10 7
2 0 1
2 0 2
1 0 2
1 0 0
0 2 1
1 2 2
2 2 0
2 1 1
2 1 0
0 1 0
10 8
2 3 1
3 2 4
5 3 2
2 4 2
0 5 4
2 2 0
1 0 0
3 3 1
4 5 1
5 5 5
10 7
3 3 4
2 0 1
0 2 4
2 3 1
3 1 0
1 1 4
5 2 0
3 4 5
1 2 2
4 0 3
10 9
2 0 1
2 2 0
1 0 0
2 2 2
0 2 0
0 0 1
1 1 1
0 1 2
1 1 2
2 2 1
10 2
2 0 0
2 0 2
3 0 4
3 0 1
0 4 0
4 0 1
1 1 3
2 0 1
0 3 0
4 3 2
10 7
0 3 1
1 5 0
5 2 3
3 5 2
3 0 0
4 4 0
1 2 2
5 5 0
3 4 0
2 1 4
10 2
3 3 3
3 2 0
3 1 3
3 2 3
3 0 2
2 0 3
2 1 0
0 1 0
2 0 0
0 1 1
10 8
3 3 1
3 3 2
1 2 2
3 0 1
0 1 3
3 3 3
1 1 1
3 1 0
2 1 3
0 0 3
10 8
0 1 0
1 2 0
1 0 1
2 1 0
0 2 1
1 2 2
2 2 0
2 0 0
0 2 0
0 0 0
10 5
3 0 3
1 1 3
3 3 3
1 2 1
0 3 3
1 0 3
2 2 1
2 1 3
0 1 0
1 0 2
10 2
1 3 0
0 2 2
2 1 3
4 0 2
3 1 0
1 0 4
3 3 3
0 1 0
4 0 0
1 3 4
10 4
4 1 3
3 2 0
3 0 4
4 2 1
3 3 1
3 2 2
0 1 3
3 4 2
3 3 2
4 3 1
10 7
2 1 1
2 2 0
1 2 0
1 2 1
2 2 1
2 2 2
0 1 1
2 1 0
2 0 2
1 0 2
10 7
3 1 3
4 1 0
4 0 0
3 2 4
0 4 2
0 3 3
4 1 1
4 2 1
1 3 4
1 2 0
10 5
0 2 0
2 1 2
1 1 2
0 0 1
2 1 0
1 0 2
2 0 2
2 2 2
1 0 1
1 2 2
10 9
1 1 0
2 1 0
1 0 2
1 0 0
2 0 0
2 1 1
0 0 0
0 0 1
1 1 2
2 0 1
10 2
0 4 4
0 0 0
3 3 0
3 1 1
0 1 2
0 4 2
3 3 1
3 0 3
3 1 4
1 3 3
10 7
2 1 2
0 0 2
2 0 2
4 1 3
2 0 4
5 5 4
0 0 0
4 0 4
4 2 0
2 2 4
10 7
1 4 0
1 4 4
0 0 1
2 4 3
1 0 1
1 2 3
2 0 2
4 2 3
2 1 0
2 0 0
10 7
4 4 1
2 3 3
4 4 4
4 2 3
0 2 1
2 0 2
4 1 0
4 4 2
1 0 4
3 4 3
10 5
2 2 1
3 2 4
3 3 1
1 3 1
0 2 4
0 4 0
4 1 1
4 2 0
0 4 1
1 0 2
10 2
1 2 0
1 1 1
1 1 2
2 0 2
2 0 1
0 1 0
2 2 0
0 1 1
2 2 1
0 2 2
10 9
3 1 2
2 2 2
2 1 0
1 3 2
1 3 1
3 0 0
0 1 3
0 0 2
1 0 1
2 1 2
10 6
2 1 2
1 0 1
2 2 1
0 2 0
1 2 1
0 0 1
1 1 2
1 0 0
0 1 0
1 1 1
10 9
2 3 1
1 2 5
0 5 1
2 0 3
2 1 0
4 0 4
1 4 2
3 4 3
2 1 4
0 1 2
10 4
2 4 1
1 2 2
1 0 0
1 1 2
3 1 2
1 4 3
4 4 1
3 0 1
0 2 4
2 1 4
10 2
0 3 4
0 3 1
0 0 4
4 0 2
0 1 1
0 1 3
1 1 2
1 4 0
4 1 4
0 1 0
10 9
2 0 0
0 4 2
4 2 1
1 4 2
4 0 0
3 3 3
4 4 4
4 1 4
3 0 4
2 0 1
10 5
0 1 0
0 0 2
1 1 3
2 0 1
0 0 1
0 0 0
3 3 2
2 3 1
0 1 3
1 2 3
10 9
1 2 1
3 2 3
0 0 2
1 2 0
3 1 0
1 2 3
2 3 3
2 1 2
0 2 1
2 0 1
10 4
3 4 3
2 3 2
2 4 3
3 2 4
2 4 0
0 4 0
4 4 2
1 3 4
0 0 2
1 2 2
10 8
1 2 1
2 0 1
1 1 1
0 1 2
1 0 1
0 0 1
0 2 1
0 1 1
2 2 2
1 1 0
10 4
3 2 2
2 3 1
1 2 0
2 2 2
2 2 1
1 3 0
1 2 1
0 1 0
3 0 2
1 1 1
10 7
3 4 4
2 4 1
4 2 3
3 3 3
1 1 2
0 1 4
0 4 2
4 2 0
2 4 4
4 0 2
10 7
1 1 3
2 3 1
0 0 1
0 0 4
3 2 1
2 1 1
5 3 3
4 5 3
4 2 4
5 5 5
10 6
0 0 4
3 2 1
0 3 4
2 1 3
3 3 2
1 3 3
2 2 1
3 1 3
1 2 4
4 3 3
10 7
0 3 1
3 5 5
1 0 2
1 1 3
4 3 1
5 3 0
2 2 4
2 4 0
4 4 4
1 5 5
10 8
1 2 0
0 2 0
2 1 1
2 2 2
2 1 0
2 2 1
0 0 1
1 2 1
0 1 1
1 0 0
10 6
2 0 0
1 2 0
3 1 3
1 1 1
0 1 2
3 0 2
3 1 0
2 2 0
1 1 3
2 0 1
10 8
3 4 2
3 2 4
0 2 0
3 1 0
2 4 4
0 1 0
1 1 4
1 4 3
2 0 3
3 4 1
10 9
1 3 3
0 3 1
3 0 0
2 1 2
1 2 3
3 0 2
3 0 3
1 3 0
2 0 1
3 3 2
10 7
5 5 4
3 4 0
3 2 1
0 1 2
1 5 4
1 3 1
4 3 2
1 1 0
5 2 5
0 1 0
10 3
2 3 0
1 0 0
2 0 0
1 3 2
0 3 3
0 0 1
3 3 3
3 1 0
1 0 3
2 3 2
10 8
0 0 0
1 1 1
1 1 0
1 2 0
2 1 0
2 2 0
0 2 0
2 2 2
2 0 2
0 1 0
10 2
1 0 4
4 4 2
2 3 4
1 4 0
2 4 4
4 2 2
1 3 4
0 2 3
3 0 3
3 2 2
10 7
3 3 3
0 4 2
1 2 2
4 4 4
1 1 4
0 2 3
1 0 3
0 2 4
2 4 1
0 0 4
10 7
3 1 1
2 2 0
1 3 0
3 3 0
2 3 1
1 2 1
3 0 2
1 3 3
0 0 3
3 2 0
10 6
5 5 2
0 0 0
4 4 4
3 3 0
4 0 3
5 2 5
4 1 4
2 3 2
2 1 3
4 0 4
10 7
1 1 2
1 1 1
2 1 1
0 1 1
0 2 2
2 1 2
2 2 1
0 2 1
2 0 2
0 1 2
10 6
0 4 4
1 4 1
3 2 0
1 2 4
3 0 1
2 1 2
2 3 2
3 0 3
2 1 0
0 2 2
10 6
2 3 2
1 3 2
1 5 5
3 2 1
1 0 0
0 3 5
3 4 1
4 5 2
4 2 4
5 1 3
10 3
1 0 1
1 0 2
2 1 2
1 2 1
1 1 1
0 1 0
0 0 2
2 1 0
1 2 2
0 0 0
10 4
1 3 1
2 1 0
0 3 1
3 0 3
0 2 1
0 2 0
3 1 0
2 2 1
2 3 3
1 3 0
10 8
0 2 0
0 1 2
2 2 0
1 0 2
1 1 1
0 2 2
1 1 0
2 2 2
2 1 2
1 2 0
10 9
2 2 0
1 3 2
1 0 3
1 2 2
0 3 2
0 1 2
0 0 1
1 1 3
3 1 2
3 0 3
10 8
1 0 0
0 1 1
1 2 1
2 1 1
2 0 0
2 1 2
2 0 2
1 0 2
1 0 1
2 0 1
10 8
2 3 5
1 2 4
1 5 2
2 4 3
5 5 2
2 0 3
2 0 5
0 5 1
2 2 3
3 5 5
10 3
3 2 0
1 3 0
3 0 0
1 1 0
2 2 1
3 2 1
3 3 1
0 1 2
2 1 0
1 3 1
10 8
4 3 4
3 4 2
4 3 0
3 2 2
2 1 4
2 4 3
4 2 0
3 2 1
4 0 4
0 1 1
10 3
0 0 0
0 2 2
0 2 1
2 1 1
2 1 2
1 1 1
1 2 1
1 2 2
1 1 0
1 2 0
10 9
1 2 2
1 0 1
1 2 1
1 1 1
2 0 1
2 1 1
0 2 0
1 1 0
0 1 1
2 2 0
10 3
1 2 1
0 1 2
2 0 0
0 0 0
2 2 0
2 1 1
1 0 0
2 1 0
1 1 2
0 0 2
10 4
1 0 2
2 1 1
2 0 4
4 0 2
2 4 1
0 3 4
1 3 3
2 2 1
0 0 0
4 4 3
10 7
2 0 2
0 0 2
0 2 0
2 3 1
0 3 1
3 0 2
2 1 3
2 0 3
2 2 0
1 1 2
10 6
4 0 3
2 3 3
1 3 1
4 1 1
1 1 3
1 0 0
3 4 0
4 1 4
2 5 3
3 1 2
10 5
3 3 0
4 0 5
5 1 0
5 0 4
3 2 1
2 2 1
4 4 1
3 1 4
4 2 4
1 4 2
10 4
1 2 4
3 2 3
5 0 3
1 1 1
4 4 1
4 1 1
5 2 0
1 2 5
1 1 5
3 1 3
10 9
1 0 1
0 1 2
2 1 2
1 1 2
1 1 1
1 2 0
2 2 1
0 1 0
0 0 0
0 2 0
10 5
2 2 0
2 0 2
2 0 3
2 2 2
2 1 1
2 3 2
3 0 1
3 3 0
1 3 0
1 2 2
10 6
2 0 2
2 1 2
2 1 0
1 0 0
2 2 2
0 2 0
1 2 0
2 2 1
2 0 1
0 1 2
10 7
2 0 3
2 0 0
2 3 0
0 1 2
2 1 3
3 1 0
0 3 2
0 0 2
1 1 0
3 0 3
10 5
1 0 4
1 1 2
0 2 2
3 1 5
4 0 2
1 2 3
0 3 4
0 1 3
2 2 5
2 5 3
10 8
1 2 0
1 3 1
1 3 0
1 3 2
2 1 2
0 2 2
2 1 3
0 1 0
3 2 1
2 0 1
10 4
2 2 4
4 3 0
2 2 5
3 0 2
4 4 1
1 0 3
5 3 1
5 0 4
0 1 3
5 3 5
10 7
2 0 3
3 2 0
3 3 1
1 2 1
1 3 1
0 1 3
3 1 3
2 0 1
3 3 0
2 2 1
10 2
3 0 0
3 0 3
2 2 1
2 3 1
1 0 0
0 3 1
2 0 2
3 0 1
0 3 0
1 1 1
10 8
1 1 2
1 2 0
0 0 2
2 0 0
0 1 2
2 2 2
1 2 2
0 2 2
2 1 2
2 2 1
10 2
1 0 1
3 1 4
3 3 5
3 0 2
2 2 0
2 3 0
4 5 4
5 0 3
5 3 3
1 4 3
10 6
3 2 1
5 1 5
3 5 1
1 1 4
2 5 4
2 2 0
0 1 4
1 5 2
3 1 4
4 0 2
10 6
4 2 0
3 4 2
2 0 1
4 1 0
4 2 4
3 4 1
2 4 0
4 0 2
4 2 1
2 3 4
10 5
5 2 3
1 5 4
3 5 4
0 4 0
0 3 3
4 0 5
3 4 2
2 3 1
3 4 1
2 1 1
10 8
0 1 0
0 0 2
1 0 2
1 1 1
2 2 1
0 2 2
0 0 0
2 0 1
0 2 0
1 2 2
10 9
0 3 1
3 2 2
0 1 3
2 1 0
3 0 0
2 0 2
3 3 0
2 3 3
2 3 0
2 2 3
10 6
0 1 0
1 1 1
1 0 0
2 0 0
2 2 2
1 1 2
1 0 1
0 2 2
2 0 2
0 2 0
10 4
2 2 1
1 1 0
2 0 2
1 0 1
2 1 1
0 1 2
0 2 2
1 2 0
0 0 2
2 1 2
10 6
3 2 2
4 4 1
5 5 2
5 1 5
0 3 3
4 0 1
3 3 2
3 4 0
4 3 5
5 3 5
10 9
0 0 0
2 0 1
0 1 1
0 0 2
1 2 0
1 1 1
1 0 2
2 1 0
1 1 2
2 1 1
10 8
0 3 1
1 2 3
2 3 2
1 0 2
4 2 1
2 4 3
4 0 1
1 0 0
0 0 3
4 3 1
10 5
1 0 3
0 2 0
0 3 2
4 2 1
4 1 0
4 2 4
4 4 2
1 4 2
2 1 1
3 3 2
10 2
2 3 2
1 1 0
3 2 2
0 2 0
0 0 2
3 3 2
3 1 3
3 0 0
3 0 3
0 0 1
10 9
2 2 3
3 1 0
0 0 0
1 3 1
3 1 2
2 0 0
0 2 3
0 1 3
3 3 2
3 2 2
10 9
1 3 4
2 4 1
2 4 4
2 1 2
2 4 0
0 2 2
4 4 1
4 2 4
0 0 4
3 3 2
10 3
2 0 0
3 2 4
4 4 3
4 0 0
1 4 2
1 0 1
0 2 2
0 2 0
2 3 1
3 4 1
10 5
0 1 2
4 0 0
4 3 3
2 2 3
0 3 3
1 4 2
2 0 2
0 3 4
2 3 2
3 2 1
10 4
0 2 1
0 5 5
5 5 4
4 0 0
4 0 3
0 4 4
5 1 4
2 0 4
0 2 0
0 5 2
10 9
0 2 1
3 2 2
2 0 0
3 3 2
1 3 3
0 3 2
3 1 3
1 2 2
1 0 3
1 2 0
10 2
1 0 1
2 1 0
3 0 3
2 0 1
2 2 1
0 1 3
0 3 3
2 0 3
0 0 0
0 0 2
10 4
3 0 0
1 1 3
2 3 1
4 1 0
3 0 4
0 4 1
1 1 4
4 0 4
1 3 4
1 4 3
10 8
1 0 2
2 2 3
4 4 3
3 4 0
0 2 4
1 3 3
3 1 4
4 1 0
2 4 0
2 2 0
10 6
3 4 0
2 4 2
0 0 5
1 1 2
5 2 5
1 4 5
3 3 1
4 1 4
5 0 2
0 3 3
10 2
3 1 0
2 3 3
2 1 0
0 4 2
4 0 3
1 4 0
0 4 1
1 2 1
1 4 1
2 4 4
10 6
5 3 0
1 5 1
2 5 0
5 2 3
3 5 3
0 5 1
3 1 4
0 0 4
2 1 1
5 2 1
10 4
3 2 0
3 4 2
4 4 3
2 3 1
3 2 1
4 2 2
0 2 4
1 4 1
3 3 3
1 0 4
10 3
3 2 4
0 3 3
1 0 2
1 3 2
2 2 4
0 3 4
0 2 4
3 0 4
2 0 4
1 1 0
10 9
2 1 1
2 4 0
3 2 3
2 3 4
4 0 1
0 1 4
0 2 0
2 2 4
1 3 0
0 0 1
10 7
2 0 1
1 1 1
1 2 2
3 1 1
1 2 0
1 3 3
3 2 2
1 0 2
1 3 0
2 2 2
10 3
3 1 2
0 3 2
1 0 3
2 1 1
0 3 0
2 1 3
1 3 0
1 2 2
0 0 2
2 2 3
10 9
2 0 2
4 0 1
0 0 2
3 2 2
2 1 3
4 1 2
1 3 2
2 1 0
2 3 1
4 4 4
10 7
1 1 1
0 0 2
1 2 3
3 3 2
1 2 0
2 0 1
3 0 3
2 1 2
0 2 2
2 1 3
10 9
2 1 1
3 2 2
0 0 1
1 1 3
3 3 3
1 3 3
3 3 0
0 3 3
3 2 1
1 0 1
10 3
3 2 1
4 4 1
5 2 4
1 4 2
2 2 0
5 0 1
0 5 3
0 3 0
1 3 5
4 4 3
10 2
1 1 4
1 4 4
4 1 2
2 4 3
1 0 1
0 4 3
4 3 0
2 2 1
0 3 3
0 4 0
10 7
0 0 1
1 1 3
3 0 3
2 1 1
0 0 0
0 2 0
2 1 3
2 0 2
1 0 1
3 3 3
10 5
2 0 4
2 0 2
0 4 4
1 0 1
1 3 4
0 2 2
4 3 3
1 0 4
1 3 3
4 1 3
10 9
1 1 3
0 1 2
2 0 1
1 2 1
3 0 2
1 1 2
3 2 0
3 2 3
0 3 1
2 3 3
10 4
0 1 3
3 1 1
3 0 3
1 0 1
1 3 3
1 0 3
3 3 2
2 3 3
1 0 0
2 0 1
10 6
5 2 1
0 3 3
4 4 3
0 4 4
4 1 2
5 0 3
3 0 1
3 5 2
4 3 5
1 0 1
10 6
0 1 1
0 0 2
0 2 2
2 2 0
0 2 1
2 0 0
2 2 2
1 0 1
1 2 0
1 1 2
10 2
0 3 4
0 4 1
4 1 4
3 2 4
0 3 1
2 0 1
0 0 0
3 3 3
4 4 3
3 0 3
10 5
3 3 3
3 2 2
0 2 2
1 1 3
1 2 3
1 2 2
0 2 0
0 3 2
1 0 1
2 0 0
10 5
5 3 0
5 3 1
5 2 0
1 3 1
5 1 3
3 0 5
0 0 0
4 2 1
2 4 3
2 1 1
10 8
0 4 3
2 2 1
0 2 1
1 1 3
1 2 4
2 4 0
0 2 3
2 2 2
1 3 1
1 3 2
10 2
3 0 1
2 2 3
0 3 3
1 3 3
3 1 0
3 1 2
1 1 1
2 3 1
0 0 2
3 1 3
10 3
0 2 1
1 2 2
0 2 3
1 0 1
2 0 1
3 0 2
2 0 0
0 3 0
2 2 2
0 3 1
10 4
2 1 2
2 3 2
2 0 2
1 0 3
2 1 0
3 0 0
1 1 0
2 2 2
0 0 0
2 0 0
10 4
0 0 3
2 0 2
2 1 3
3 3 1
0 1 1
2 1 2
3 1 2
1 2 1
1 3 0
2 3 3
10 9
0 2 0
1 2 0
0 1 1
1 1 0
2 0 2
2 2 2
0 0 1
0 0 2
0 1 2
2 2 1
10 7
3 3 2
3 0 3
3 2 3
0 0 0
2 3 0
1 0 2
3 2 1
3 1 1
1 1 2
3 1 0
10 6
0 1 2
2 2 2
1 1 2
0 1 0
2 1 2
0 2 2
2 0 1
1 0 1
0 0 0
2 2 0
10 7
0 3 0
2 0 2
1 0 1
1 0 3
1 1 2
0 3 3
0 1 3
3 3 0
2 2 1
0 0 1
10 7
0 3 1
3 1 0
3 0 2
0 3 2
1 0 3
0 3 3
0 0 1
3 0 1
0 1 3
3 3 1
10 2
4 2 3
1 2 0
3 3 0
4 1 2
1 3 5
3 5 5
0 0 1
3 1 4
5 5 5
0 3 3
10 9
0 1 1
3 3 1
1 3 2
2 2 0
2 3 0
1 0 1
0 1 0
0 0 0
3 2 1
2 0 1
10 4
0 2 0
1 1 2
1 0 2
2 0 0
0 1 1
0 0 1
2 1 2
1 1 0
2 2 0
0 0 0
10 6
2 4 5
5 1 2
2 3 4
2 0 0
5 2 3
3 0 0
2 3 3
3 1 4
2 2 0
0 0 2
10 4
1 1 1
2 2 0
2 2 2
2 2 1
1 2 2
1 0 0
2 1 0
2 0 2
0 2 0
2 1 2
10 7
3 1 2
4 0 1
1 0 0
3 1 3
3 3 4
2 5 2
1 5 5
3 4 2
2 3 1
0 0 4
10 4
3 1 3
4 3 0
3 3 3
3 1 1
3 4 4
0 4 3
1 1 4
3 2 1
4 3 2
0 3 0
10 7
3 4 5
0 3 3
1 5 2
1 0 4
4 2 0
5 4 5
3 4 1
4 2 5
2 1 4
1 1 4
10 6
4 4 1
0 4 0
0 3 0
1 4 0
4 0 2
1 3 3
1 2 0
1 1 1
3 4 4
1 1 3
10 4
2 0 1
0 3 3
1 0 3
3 3 3
0 0 0
0 1 1
0 2 3
1 3 0
3 1 0
2 2 2
10 6
2 5 1
4 1 4
1 5 3
1 0 4
5 4 0
3 4 2
3 0 2
2 0 3
4 2 5
5 1 5
10 6
3 2 1
3 0 1
0 3 3
1 1 2
2 1 0
0 3 0
2 1 1
2 1 3
3 2 0
0 1 3
10 2
2 2 0
2 3 2
1 3 2
1 0 2
0 3 0
0 0 2
2 1 2
2 2 3
1 3 0
0 3 2
10 2
0 5 3
2 2 1
0 5 5
4 5 4
4 1 1
5 2 2
1 1 2
5 3 0
2 1 5
2 5 0
10 9
3 0 3
2 5 2
2 2 3
5 0 3
5 1 3
3 4 2
0 3 3
0 2 2
1 2 0
4 2 2
10 5
3 1 3
1 2 1
1 0 2
0 1 1
2 1 1
0 0 0
1 2 3
2 2 2
3 2 1
0 3 3
10 5
0 2 1
5 2 5
0 1 5
4 0 0
3 2 1
0 0 2
4 3 5
2 0 4
5 0 2
3 2 0
10 5
1 2 2
0 1 1
2 2 0
1 0 1
1 1 1
2 1 0
2 0 2
1 0 2
0 1 0
0 2 0
10 8
3 0 0
2 2 0
1 1 3
2 2 3
0 1 2
0 2 1
3 2 1
3 1 3
3 0 3
1 1 1
10 8
1 3 2
1 2 4
2 1 0
3 3 0
3 2 2
0 2 0
4 3 2
0 0 1
1 1 4
0 3 4
10 7
1 3 1
0 1 3
4 4 4
4 4 2
4 1 2
1 3 2
3 2 4
4 3 0
3 3 4
3 0 1
10 3
2 1 0
0 0 2
1 0 0
1 1 0
2 0 1
1 2 0
0 2 2
1 2 1
0 1 0
1 0 2
10 7
3 0 3
2 1 0
1 2 0
0 3 2
1 1 0
1 2 3
1 3 1
2 0 3
0 2 0
1 2 2
10 5
5 4 4
0 3 3
3 5 1
3 2 0
4 5 3
3 0 0
4 0 3
1 4 1
1 2 4
1 3 0
10 7
0 1 2
1 2 0
0 2 2
2 2 0
3 0 0
3 1 2
3 1 1
0 3 0
3 3 2
1 3 0
10 9
0 1 0
1 0 0
2 1 2
3 2 0
3 0 4
2 3 3
1 4 2
0 3 4
4 0 4
3 3 3
10 7
3 2 2
2 3 2
3 2 0
2 2 1
2 3 0
2 3 1
1 0 3
0 3 1
2 2 0
3 3 0
10 7
3 0 1
0 2 2
2 0 4
4 0 3
1 0 3
4 2 1
0 3 4
3 1 3
2 3 4
1 2 1
10 9
0 2 2
0 2 1
2 0 0
0 2 0
0 1 0
1 0 1
1 1 2
2 1 0
1 2 1
2 1 2
10 3
1 2 1
1 1 2
2 1 1
0 1 0
0 0 2
2 1 0
1 1 1
1 2 0
1 0 1
0 0 0
10 5
2 3 3
3 1 4
3 1 1
2 1 4
1 2 2
0 1 0
0 2 0
1 3 4
4 1 4
3 3 1
10 5
4 1 1
2 2 3
5 2 5
3 4 3
3 2 3
4 3 1
3 4 2
2 5 5
4 4 0
0 2 5
10 6
1 3 1
5 3 0
3 3 3
4 0 1
5 1 5
4 4 5
1 5 3
0 0 3
0 4 5
4 4 0
10 8
2 2 2
1 3 1
0 2 0
3 0 2
3 3 3
3 2 1
0 3 3
1 0 0
1 2 0
2 3 0
10 2
0 0 3
2 0 1
1 2 3
2 0 0
3 3 2
3 1 1
0 3 2
1 1 0
1 3 3
0 1 1
10 3
0 5 3
1 5 3
1 3 1
1 3 2
1 2 2
2 2 4
5 1 2
1 5 0
3 0 3
2 0 0
10 3
1 1 0
1 1 2
0 2 1
1 2 1
2 0 2
0 1 1
2 2 0
2 1 1
2 2 2
2 2 1
10 9
4 0 4
3 0 3
3 2 3
2 4 2
2 4 0
0 2 3
2 4 4
1 3 0
1 1 4
1 2 3
10 8
3 4 0
0 2 0
1 2 1
3 4 2
3 0 0
1 2 0
0 1 4
2 0 3
3 0 1
0 4 1
10 4
0 1 2
0 1 0
0 0 1
1 2 2
2 1 1
2 0 0
2 2 0
1 0 1
1 0 0
0 1 1
10 7
3 5 3
1 3 4
4 4 3
2 1 4
0 4 4
5 0 0
0 0 3
3 4 3
1 2 1
4 4 1
10 2
5 5 3
2 5 2
2 1 5
1 5 0
5 2 0
1 5 4
4 1 2
2 3 4
5 3 1
1 3 2
10 5
4 1 1
4 3 1
4 0 3
2 0 2
3 2 1
1 3 4
0 3 4
1 1 1
2 1 4
2 1 2
10 8
0 4 4
3 2 5
4 5 5
1 3 2
2 0 2
4 4 5
0 2 4
4 3 5
3 1 5
1 5 0
10 7
2 0 5
5 2 1
2 5 1
0 2 4
3 1 5
5 2 5
3 2 5
2 5 3
0 4 2
3 1 2
10 3
3 0 3
3 1 3
3 3 1
2 4 3
2 4 0
2 2 3
5 3 2
3 2 2
1 3 0
2 0 3
10 4
2 0 2
2 1 2
0 2 0
1 0 0
1 0 1
0 0 2
2 1 0
2 1 1
1 0 2
0 1 0
10 6
0 1 3
3 1 0
1 1 2
1 4 3
4 2 4
3 0 2
4 3 3
1 4 0
3 3 2
2 3 2
10 5
0 0 3
3 3 2
2 0 0
1 1 1
1 3 0
3 3 3
3 2 3
2 1 2
2 3 3
0 2 1
10 2
2 3 3
3 1 2
2 1 1
3 0 3
3 3 2
0 1 1
3 0 1
2 2 1
2 3 1
0 0 2
10 3
2 4 3
2 2 4
0 4 1
1 4 0
1 0 1
4 0 1
2 1 1
3 1 4
2 0 1
3 4 3
10 3
4 2 0
1 0 0
3 3 2
0 0 3
4 0 2
0 1 1
3 2 1
3 4 1
3 4 3
2 0 3
10 9
1 1 0
3 1 3
2 3 1
2 1 3
0 2 0
3 2 2
0 1 2
1 3 3
0 3 0
3 0 3
10 9
1 3 0
3 3 2
0 3 2
3 2 0
1 2 3
3 0 3
1 1 1
2 1 2
0 1 3
1 3 1
10 5
2 3 5
3 5 3
1 5 3
1 5 2
4 5 2
0 3 4
5 1 4
0 4 4
4 4 4
1 3 0
10 8
3 1 0
2 1 0
0 1 1
2 3 0
1 3 2
1 1 0
0 1 2
0 0 2
2 2 0
2 1 3
10 2
3 2 0
3 1 4
5 1 5
0 3 1
3 5 5
2 1 1
1 1 2
2 1 4
0 4 5
3 4 2
10 8
2 3 1
2 0 2
2 1 2
3 0 1
0 0 1
0 0 2
0 2 2
1 0 3
1 3 3
2 2 3
10 5
1 1 0
2 2 3
3 1 3
2 0 0
2 3 2
0 0 2
2 2 1
0 2 0
2 1 1
2 2 2
10 6
0 4 4
4 1 2
0 2 1
4 3 0
2 2 1
0 1 1
3 4 2
2 1 2
0 1 3
3 1 3
10 3
0 0 0
3 0 1
0 3 0
0 1 0
2 1 1
3 3 2
3 2 1
0 0 2
0 1 3
3 0 2
10 4
4 1 5
1 0 3
3 2 2
3 1 3
4 0 3
4 5 5
2 2 1
5 2 4
1 4 3
1 3 0
10 2
2 2 2
1 2 0
0 1 1
0 2 1
1 1 1
1 0 1
2 2 1
0 1 0
2 0 0
2 1 2
10 9
3 0 0
1 1 1
0 1 3
0 1 1
1 0 4
3 0 1
0 0 3
1 0 3
1 1 0
0 2 3
10 2
5 3 5
3 3 5
0 4 0
0 4 1
2 5 1
0 0 0
3 3 2
4 1 4
1 0 4
1 5 2
10 3
4 5 5
2 1 3
4 4 3
1 2 3
0 3 0
4 0 1
0 5 1
0 2 4
4 5 1
0 3 5
10 3
2 2 0
2 1 3
0 1 3
3 3 2
0 1 0
3 1 3
0 0 3
2 1 1
0 3 2
2 1 2
10 9
0 0 2
0 1 2
2 2 1
1 1 2
0 0 1
0 0 0
0 2 1
2 1 2
1 1 1
2 2 2
10 5
2 1 2
1 1 0
0 0 2
0 2 0
1 0 1
0 1 0
1 0 0
1 1 1
1 2 2
2 0 0
10 3
1 3 2
2 1 0
0 3 2
0 0 0
0 2 0
2 2 0
1 2 2
1 3 0
1 2 0
2 3 2
10 7
0 4 1
0 1 3
4 2 4
3 4 0
0 4 4
4 2 1
0 4 3
2 2 4
1 2 4
1 3 3
10 3
2 4 1
0 0 3
4 3 3
1 0 4
0 0 1
1 4 0
0 1 4
1 1 0
3 2 2
3 2 0
10 9
2 3 0
2 1 0
3 3 3
1 0 3
0 4 3
3 2 3
1 3 0
2 1 1
4 2 0
1 0 1
10 8
4 0 4
0 4 3
2 3 0
1 2 1
3 0 2
2 1 4
1 2 5
2 4 0
2 3 1
2 3 2
10 4
5 5 1
0 4 0
5 2 1
2 5 1
1 0 2
1 3 3
4 3 5
0 4 2
3 1 1
0 5 2
10 6
0 2 2
0 1 1
0 1 0
1 1 1
2 2 2
2 0 2
2 0 0
0 2 0
1 2 0
1 0 1
10 2
0 4 2
2 4 3
0 3 4
1 2 2
4 1 2
1 4 0
2 0 4
3 3 2
0 4 0
2 1 2
10 6
4 4 2
3 0 1
2 1 1
2 4 4
4 0 2
1 4 1
0 4 2
4 3 4
2 0 0
2 3 3
10 6
1 1 0
4 2 1
2 4 4
2 5 5
1 5 3
0 5 5
2 0 4
4 3 4
3 2 2
4 1 4
10 4
2 0 0
2 1 3
3 3 1
1 2 2
0 3 1
0 1 0
1 0 0
1 3 2
3 2 0
0 0 1
10 2
0 0 0
4 1 2
2 4 2
2 4 3
2 3 3
1 4 4
3 4 4
4 1 4
3 0 0
1 3 0
10 9
3 1 2
0 3 3
2 3 2
3 0 3
1 2 1
2 3 3
2 1 2
4 3 2
0 2 0
2 2 3
10 8
0 2 0
1 2 2
0 1 1
0 2 2
1 2 1
2 0 2
2 1 0
2 2 1
0 0 0
1 1 2
10 5
0 0 1
4 2 1
0 3 4
1 2 2
2 2 1
3 3 2
0 2 1
0 4 1
4 3 4
4 1 4
10 8
0 0 3
3 0 3
2 0 2
0 2 0
3 3 3
3 3 0
1 1 1
3 2 3
3 0 1
1 0 1
10 6
2 0 3
3 3 4
3 4 2
3 0 0
4 4 3
4 4 2
4 4 4
1 4 4
0 3 3
1 2 2
10 9
1 4 1
0 0 1
0 4 5
4 5 3
1 2 4
5 2 3
2 3 1
1 2 1
4 5 1
4 4 2
10 2
3 2 3
3 1 2
0 0 3
1 0 2
1 3 0
2 0 2
2 0 1
1 3 2
1 1 0
0 1 3
10 4
0 0 0
0 2 1
2 2 1
0 1 0
0 2 0
2 2 2
2 1 1
0 0 1
0 2 2
1 0 1
10 2
4 5 0
0 5 3
2 5 2
3 4 4
1 5 0
2 3 4
0 4 1
2 2 5
2 4 5
3 0 4
10 9
1 1 4
3 4 2
3 0 2
0 3 0
4 2 1
0 2 2
2 0 0
1 1 0
0 2 1
2 1 1
10 8
5 2 1
4 4 5
4 0 4
1 2 5
2 4 0
5 5 4
3 1 2
4 5 0
2 4 2
2 3 5
10 9
3 3 3
2 1 0
3 2 2
2 3 2
3 0 2
0 0 2
1 3 2
1 0 0
3 3 0
2 1 3
10 5
5 2 5
2 1 3
0 3 0
4 0 0
2 4 3
5 2 4
2 5 4
2 0 1
4 3 0
3 5 2
10 2
2 2 2
2 1 3
2 3 1
2 0 3
0 3 1
0 2 2
2 0 2
1 0 0
0 1 1
2 2 0
10 8
0 3 0
1 1 0
0 1 0
1 3 3
1 0 3
2 1 2
1 2 1
3 1 1
1 2 0
3 0 2
10 3
1 0 1
3 0 1
2 3 2
3 3 3
0 3 2
0 0 3
0 3 3
0 0 1
3 0 0
3 2 1
10 3
3 1 3
3 3 2
0 1 0
1 3 1
1 1 3
2 0 2
1 1 1
2 1 3
2 2 0
3 0 1
10 9
4 2 5
3 4 2
5 4 0
3 0 0
3 5 1
5 1 1
1 4 1
4 0 0
2 4 1
4 1 1
10 8
3 0 0
0 1 1
0 1 2
3 4 2
1 4 2
0 4 0
0 0 0
3 0 4
2 4 0
0 2 2
10 9
0 0 4
3 3 3
0 0 1
4 4 0
4 3 0
5 5 3
5 4 2
2 2 1
0 4 3
1 3 3
10 5
1 2 2
0 0 1
2 0 0
2 0 2
1 0 0
0 2 0
1 2 0
2 1 1
0 0 0
2 1 0
10 6
2 1 2
0 2 1
0 0 1
2 0 1
1 0 2
0 1 0
2 0 2
1 1 2
0 1 1
1 2 1
10 2
0 3 1
5 4 2
1 3 2
3 5 1
3 3 1
2 5 5
0 4 5
5 3 1
5 1 0
5 4 1
10 9
3 2 0
2 3 1
3 2 1
0 1 3
3 1 0
0 3 2
1 2 1
3 0 0
2 0 0
1 0 0
10 9
4 1 0
3 3 4
3 1 0
2 1 2
2 0 4
0 3 4
3 4 3
1 2 3
0 0 3
0 2 4
10 8
1 3 1
3 3 3
2 1 3
2 3 1
0 3 1
3 0 0
0 1 3
1 0 1
0 1 0
1 2 2
10 8
1 2 0
2 0 3
3 0 2
0 2 2
0 3 1
1 1 1
2 0 1
1 2 3
3 3 0
3 3 1
10 2
2 0 3
1 0 4
1 5 1
1 3 2
1 3 4
3 3 2
4 5 0
1 0 5
4 4 4
0 1 1
10 8
1 0 4
3 5 1
4 2 0
5 3 4
0 2 2
3 3 0
4 4 5
2 3 5
3 0 1
5 3 2
10 9
2 1 1
0 2 2
0 2 1
0 2 0
1 1 0
0 0 0
0 1 0
1 0 2
1 0 0
1 2 2
10 4
1 3 4
3 2 1
3 0 4
0 0 3
2 2 2
0 3 0
0 1 1
0 2 2
1 4 2
4 2 2
10 8
3 3 3
3 1 1
2 3 0
2 3 3
0 3 3
2 2 0
2 0 0
0 2 2
1 0 2
3 0 0
10 5
2 1 0
0 0 2
3 1 1
1 0 1
0 2 3
3 0 1
2 2 2
2 2 1
1 2 2
1 0 2
10 9
4 1 3
0 2 3
0 2 4
2 4 3
2 3 0
2 1 1
4 4 4
1 3 4
2 3 2
0 1 2
10 8
2 3 4
4 2 2
2 4 4
2 3 0
3 5 2
0 0 0
2 4 0
2 4 5
1 3 2
5 2 0
10 8
0 4 0
2 0 1
1 1 2
3 3 4
1 2 0
2 0 3
2 4 1
2 1 4
0 1 1
4 3 2
10 2
2 0 4
4 4 5
0 3 0
1 3 5
1 1 0
4 4 0
3 5 2
1 5 4
3 2 3
5 4 2
10 7
4 4 0
1 3 3
1 0 0
3 1 1
3 0 1
4 1 2
2 3 2
2 4 1
1 2 3
2 4 0
10 6
3 0 1
2 3 3
0 2 0
1 2 0
0 3 3
3 2 2
2 2 1
3 3 2
0 0 3
3 0 2
10 3
4 1 4
1 4 1
3 0 1
3 3 2
0 2 3
2 3 2
2 3 0
0 2 2
4 1 3
1 3 0
10 6
2 2 1
1 2 1
0 1 0
0 2 2
0 0 2
1 1 2
0 1 2
0 0 0
1 1 0
2 0 2
10 9
1 1 3
2 2 4
0 4 3
3 4 2
2 2 0
2 1 0
0 1 1
4 2 3
0 2 1
3 2 3
10 7
1 0 0
3 0 0
0 3 1
2 1 2
2 2 2
2 3 1
2 0 0
1 3 1
2 1 3
0 1 3
10 3
2 2 1
2 1 1
1 1 0
1 2 0
0 1 2
2 0 1
0 0 1
0 0 2
1 1 2
1 0 1
10 3
1 1 2
2 2 2
2 0 2
0 1 0
1 0 1
1 1 1
1 1 0
0 1 1
0 1 2
1 2 2
10 9
5 2 0
3 5 2
4 3 5
4 0 4
0 1 3
2 2 5
2 4 1
3 3 2
5 2 4
5 4 0
10 7
2 3 0
1 4 3
2 3 3
1 4 2
4 4 1
3 1 1
3 3 2
3 0 3
1 4 4
0 4 3
10 7
2 2 1
2 1 0
0 2 2
1 2 2
2 2 2
2 2 0
1 1 0
1 0 1
1 1 1
0 0 2
10 4
0 2 0
2 1 5
0 0 2
4 5 0
0 4 1
4 2 4
4 0 3
0 1 2
4 1 3
3 5 4
10 6
1 2 2
2 2 2
1 0 1
2 1 1
2 2 1
1 2 0
1 1 1
1 0 2
1 1 2
2 2 0
10 2
1 3 2
2 1 1
2 2 2
3 2 2
3 1 0
1 3 3
1 2 0
0 1 2
2 2 1
0 3 2
10 9
2 0 5
1 3 0
5 5 1
4 3 5
5 3 3
5 5 4
5 4 1
1 5 5
4 3 1
5 2 2
10 6
2 1 0
1 2 1
1 3 1
1 3 3
0 3 2
1 2 0
0 2 1
1 1 1
3 0 3
3 3 3
10 8
0 1 3
0 3 0
0 2 0
2 0 3
0 0 0
1 1 3
3 0 1
1 1 2
0 0 3
1 2 2
10 4
1 2 0
3 2 0
0 1 0
2 3 3
0 2 0
0 1 1
1 0 1
1 0 2
0 1 3
1 1 3
10 4
4 3 3
0 2 0
1 1 2
1 4 1
0 3 4
1 1 1
1 2 3
3 1 0
0 1 2
4 1 1
10 3
0 1 2
1 1 4
4 2 4
2 1 0
4 3 2
3 1 2
3 4 0
0 3 4
3 1 1
3 2 4
10 5
4 0 2
1 3 1
5 0 0
0 1 0
1 5 5
4 0 5
2 1 0
4 5 2
3 5 0
2 5 5
10 4
2 2 2
0 0 2
0 0 0
0 0 3
2 3 3
2 1 2
0 3 1
0 1 3
2 1 0
3 1 2
10 2
3 2 3
1 4 1
3 4 3
3 3 4
0 5 3
1 0 1
0 3 4
4 3 0
2 0 2
2 2 2
10 7
4 1 1
4 4 2
0 1 0
2 4 4
0 2 1
3 4 0
1 1 1
3 0 3
0 1 3
3 0 4
10 6
0 2 1
3 3 1
0 2 3
1 2 1
2 3 3
2 1 3
0 0 2
3 2 3
2 0 2
3 1 1
10 8
1 2 2
2 2 1
0 2 1
1 1 0
1 0 0
0 0 0
0 2 0
2 2 0
2 2 2
2 1 0
10 3
0 1 2
0 0 1
1 2 1
2 0 2
2 1 2
2 0 0
1 2 2
2 1 0
0 2 2
1 0 1
10 4
0 1 0
1 0 0
1 1 0
0 0 1
2 1 2
1 1 2
2 2 2
2 0 0
0 0 2
0 1 2
10 7
3 2 4
3 1 4
4 2 3
3 3 2
1 3 3
1 3 1
4 0 3
4 0 2
4 4 2
4 1 1
10 2
2 5 1
3 3 5
4 4 3
3 1 4
4 1 4
2 1 0
3 3 4
3 4 2
2 2 4
4 5 1
10 8
0 2 0
2 0 0
1 1 1
1 1 0
1 0 0
1 2 1
0 1 1
2 0 1
0 2 1
0 1 0
10 7
0 0 0
1 0 3
3 3 0
3 1 1
1 1 3
1 2 1
0 3 0
2 1 0
3 0 0
0 3 3
10 6
2 2 1
0 2 0
1 0 1
2 1 0
2 2 0
1 0 0
1 2 0
0 0 2
1 0 2
2 2 2
10 4
1 3 0
1 2 2
3 1 0
3 3 2
2 2 1
1 1 2
3 2 0
0 2 0
3 2 2
2 1 3
10 2
4 1 1
0 2 1
1 3 1
4 1 2
4 4 1
2 1 4
4 0 4
4 2 1
3 3 1
4 4 0
10 9
3 0 3
2 2 3
3 1 3
0 2 0
3 3 2
1 1 1
0 3 1
2 1 0
2 0 3
1 1 0
10 9
3 2 1
2 2 3
0 3 0
2 2 2
2 0 3
1 1 1
1 0 2
3 3 0
2 2 0
0 0 0
10 7
3 1 4
5 1 4
1 3 2
3 3 0
2 2 4
1 4 5
5 3 4
4 0 4
3 1 1
0 4 4
10 4
1 1 2
1 2 2
2 1 2
0 0 1
2 0 1
2 2 2
0 1 0
1 0 1
1 2 1
0 1 1
10 3
0 1 2
3 2 2
1 1 2
0 3 1
2 0 2
2 1 1
1 2 3
3 3 1
3 0 2
2 3 1
10 5
1 0 2
3 4 4
0 1 0
2 0 0
2 0 2
3 4 3
2 3 4
4 2 4
1 1 1
4 3 2
10 6
3 3 0
2 1 2
2 1 0
3 0 3
3 3 2
2 0 3
3 1 2
1 2 3
1 3 1
2 2 0
10 5
1 1 2
2 2 0
0 2 1
2 0 0
1 0 1
2 2 2
0 2 2
0 1 2
2 0 2
0 0 0
10 7
0 1 1
0 3 2
1 3 1
1 3 0
3 0 2
1 3 3
2 1 3
1 2 0
0 1 3
3 2 0
10 4
2 1 2
1 1 0
3 0 1
3 3 2
1 2 3
3 0 0
0 1 0
0 0 1
3 3 0
1 0 0
10 8
1 3 2
0 4 1
1 0 5
2 0 1
0 3 0
5 5 3
3 2 5
4 4 0
4 4 2
3 5 1
10 7
5 4 4
1 4 1
2 2 0
5 2 2
3 0 2
0 3 0
3 4 1
0 3 5
4 4 0
1 4 3
10 7
0 2 3
1 4 3
2 3 1
1 2 4
2 0 2
2 1 2
4 0 2
1 0 4
3 1 4
3 4 0
10 9
3 2 2
0 0 4
2 4 3
0 4 0
1 1 3
4 1 2
3 1 2
4 5 4
3 1 0
5 0 2
10 8
3 1 3
0 2 4
0 3 2
4 1 0
2 3 3
3 2 3
3 4 3
2 4 4
1 0 0
2 3 0
10 4
1 2 1
2 3 0
1 2 2
0 2 0
3 1 1
3 3 2
0 3 2
1 0 1
2 0 2
0 2 1
10 8
2 2 1
2 0 1
2 2 2
0 1 2
1 1 1
0 1 0
2 1 2
2 2 0
1 1 2
1 2 0
10 9
4 3 0
1 1 4
1 2 3
0 0 2
2 4 0
3 4 4
0 2 1
2 2 1
1 2 2
0 4 4
10 5
1 1 2
2 1 1
0 0 1
0 2 1
1 1 1
2 1 0
0 0 0
2 1 2
1 2 2
0 1 2
10 9
0 0 3
1 3 0
2 0 2
3 2 3
1 3 1
1 1 3
0 0 1
0 1 2
1 0 2
3 2 0
10 9
1 0 0
3 4 2
1 4 0
2 3 2
0 4 1
3 0 2
0 1 2
0 3 2
1 0 1
0 1 4
10 6
4 3 2
5 2 2
2 4 3
3 2 1
4 0 4
4 2 0
2 1 3
2 5 4
5 0 1
3 5 4
10 3
4 0 3
3 0 3
0 0 1
4 3 4
0 3 3
4 1 0
4 3 0
3 1 3
0 0 3
1 2 4
10 5
2 1 1
2 2 0
1 0 0
0 0 2
2 1 2
0 0 0
0 1 2
0 1 1
0 2 0
1 1 0
10 8
2 0 1
0 2 2
1 0 2
2 0 2
0 0 1
2 2 2
1 1 2
1 1 1
1 2 2
1 0 1
10 5
2 0 0
2 0 1
0 2 2
0 2 0
1 0 1
2 2 0
0 1 2
0 2 1
0 0 1
1 2 1
10 8
1 2 0
2 1 1
4 2 0
0 4 2
1 2 2
2 2 2
3 2 1
0 1 3
2 0 1
3 3 1
10 2
3 4 2
4 3 4
1 0 1
1 1 4
1 2 4
1 1 1
4 1 2
0 1 4
0 3 1
1 2 3
10 2
0 2 2
2 0 4
2 4 5
1 3 0
0 4 4
1 1 3
1 5 0
4 5 5
3 0 3
1 0 5
10 5
2 2 2
0 2 1
0 2 2
2 0 0
1 0 2
0 0 0
0 1 0
1 2 1
1 1 1
1 1 2
10 2
2 2 2
2 1 1
2 1 0
0 1 0
0 0 0
0 0 1
1 1 0
1 0 0
0 1 2
0 2 2
10 4
3 0 0
0 5 0
5 3 1
0 0 2
2 2 1
0 1 5
4 0 0
5 1 5
1 3 4
3 1 1
10 2
5 4 1
0 4 3
3 2 5
0 4 0
1 0 2
2 4 2
5 2 5
1 0 0
0 1 1
5 2 0
10 4
4 2 2
2 3 0
2 3 1
1 1 0
0 2 3
2 1 1
3 2 3
0 1 1
2 3 4
3 3 2
10 5
1 2 4
3 0 4
0 4 4
4 0 0
4 2 3
2 0 2
2 2 2
2 1 0
2 3 2
0 0 0
10 6
2 1 0
1 4 3
5 4 3
3 3 0
2 1 3
0 3 2
4 0 3
3 5 2
0 2 2
5 2 4
10 4
3 3 2
3 2 2
0 3 0
1 2 1
1 3 0
0 2 0
3 0 0
3 0 1
1 0 0
1 3 2
10 9
2 0 2
0 5 4
4 1 4
2 2 2
4 5 0
0 3 0
3 5 2
3 1 1
1 4 3
5 2 3
10 8
5 2 4
4 1 2
3 3 2
3 5 4
2 0 1
5 1 2
5 1 1
4 3 4
3 2 0
0 3 2
10 5
1 4 2
0 2 2
1 0 4
0 1 4
4 4 3
4 3 0
4 4 0
1 2 1
2 0 4
0 2 1
10 4
3 3 0
1 0 1
1 3 2
0 3 0
2 3 1
3 0 1
0 2 2
1 1 2
3 2 2
3 0 0
10 4
0 0 3
5 5 2
5 0 1
4 5 2
5 4 3
1 4 4
2 1 1
0 2 5
3 1 0
2 4 0
10 2
0 2 2
2 2 1
2 0 0
1 2 0
0 2 1
2 0 2
1 2 1
0 1 2
0 0 0
1 0 0
10 3
2 0 1
1 0 0
1 2 2
2 1 0
1 1 2
2 0 0
0 2 0
2 0 2
1 0 2
1 1 1
10 9
2 0 2
2 2 1
0 1 0
0 2 2
0 0 1
1 1 2
0 0 2
1 2 2
2 1 1
1 0 1
10 2
1 2 1
0 2 0
2 2 0
0 2 1
0 0 0
0 1 2
0 0 1
2 2 1
1 1 1
2 2 2
10 5
4 0 0
3 0 2
0 1 0
2 3 3
0 4 4
3 1 2
1 3 2
1 2 3
3 2 0
1 1 3
10 6
4 2 1
2 1 3
0 5 1
1 1 3
5 2 1
2 5 3
3 1 0
3 5 5
0 1 4
1 3 4
10 9
0 1 2
1 0 0
1 0 2
2 0 0
2 0 2
0 0 0
1 1 1
1 2 1
2 0 1
2 2 1
10 7
2 3 1
2 1 2
4 2 0
4 3 3
0 3 0
2 2 2
4 2 3
0 0 0
1 0 4
3 0 2
10 2
5 2 3
0 3 0
1 1 2
4 3 1
5 4 4
3 0 4
5 2 0
0 1 3
1 2 5
2 3 2
10 6
0 0 1
1 1 1
2 2 1
1 0 1
0 2 2
2 2 0
0 2 0
2 2 2
0 1 2
0 0 0
10 2
1 0 2
2 1 1
0 2 0
1 1 1
0 2 2
2 1 2
1 2 2
0 0 0
0 0 1
2 2 2
10 7
3 1 1
1 3 0
0 1 5
1 5 3
1 1 3
4 0 3
5 1 4
3 5 1
0 1 1
3 5 2
10 8
4 3 0
3 3 4
5 4 0
5 5 0
2 4 5
1 0 5
2 5 2
0 2 1
5 5 3
1 3 1
10 8
2 0 2
4 3 0
4 4 4
4 0 3
4 4 1
1 0 2
4 0 0
3 1 4
3 2 4
1 3 3
10 2
3 4 5
0 5 2
0 3 0
3 5 1
1 5 3
3 2 4
1 5 2
1 3 5
2 4 3
3 1 2
10 7
5 2 5
0 5 3
3 1 0
1 3 3
3 0 4
3 2 1
4 2 1
4 5 3
5 2 0
1 5 1
10 9
1 2 0
1 4 3
1 2 3
0 3 3
1 3 1
3 2 0
0 2 2
4 1 3
3 4 4
4 0 0
10 9
4 5 4
2 0 2
2 2 2
5 3 1
0 4 2
4 3 0
2 3 4
3 4 3
2 3 0
0 2 0
10 9
2 1 4
3 5 5
2 5 1
2 3 3
5 3 0
1 3 4
2 5 3
4 1 5
0 4 5
1 0 5
10 7
1 1 0
2 1 2
2 2 0
0 0 0
2 1 0
0 1 2
1 0 1
1 1 2
2 2 1
2 0 1
10 8
0 0 0
0 4 5
4 1 2
0 3 3
4 3 1
2 3 1
3 0 0
3 0 4
3 2 1
5 2 5
10 2
1 2 2
5 1 4
0 1 2
4 5 0
0 3 5
5 5 0
4 0 5
1 5 0
1 1 4
3 0 2
10 5
1 0 0
1 0 1
0 2 0
2 0 1
2 0 2
0 0 2
0 2 1
0 1 1
2 2 1
1 2 2
10 6
0 2 3
1 3 1
0 2 2
0 3 2
2 4 3
2 3 1
2 2 4
0 2 4
1 0 3
0 1 3
10 8
0 0 5
0 4 5
2 5 0
4 0 5
5 4 3
0 1 5
1 3 3
3 3 0
3 3 5
2 0 1
10 2
1 1 0
2 0 2
0 2 2
2 1 1
1 0 2
2 1 2
2 1 0
0 1 1
0 1 0
1 2 0
10 3
4 2 2
1 3 1
1 5 4
3 1 4
0 3 4
3 0 3
4 0 4
4 3 5
2 3 0
0 0 5
10 5
1 5 3
0 5 5
0 2 2
1 1 2
5 5 2
4 5 1
4 5 2
5 4 3
1 5 5
3 3 4
10 8
2 1 0
1 2 4
4 2 2
3 3 1
3 0 2
3 2 0
2 0 2
1 2 1
1 4 1
3 2 2
10 3
1 2 2
0 3 1
3 2 3
1 1 1
1 2 0
2 0 2
2 2 3
0 0 0
0 2 0
3 0 3
10 4
4 2 3
1 4 3
1 1 0
4 3 2
3 2 2
1 2 3
3 0 4
3 2 1
1 3 4
4 1 4
10 2
0 2 2
2 0 0
0 2 0
1 0 1
2 0 1
0 3 1
1 2 1
2 1 3
1 2 3
2 2 2
10 6
5 2 0
5 2 4
3 4 5
0 4 3
2 3 1
4 5 2
2 0 2
5 4 3
3 1 5
0 4 0
10 8
2 3 1
3 0 1
1 2 0
0 1 2
0 2 1
1 3 0
0 0 0
0 1 0
2 2 0
2 1 3
10 3
4 0 2
0 1 4
3 3 0
3 3 4
0 1 1
2 4 2
2 4 0
1 3 3
0 4 1
2 3 3
10 6
4 3 4
0 4 3
2 1 2
3 0 5
4 3 2
3 1 1
4 0 4
0 4 5
1 3 3
5 4 2
10 4
1 2 1
0 1 1
2 3 4
4 0 4
3 1 1
0 0 1
4 5 2
4 4 3
1 2 4
2 0 5
10 3
3 5 2
0 2 4
2 0 1
0 3 3
0 2 5
3 3 3
1 2 5
1 1 2
3 1 5
4 0 4
10 9
2 0 2
1 0 2
1 1 1
2 1 0
0 0 0
0 1 1
0 1 0
2 2 0
1 0 1
2 1 2
10 7
0 2 3
2 1 3
2 2 3
2 3 1
1 2 3
4 1 1
2 0 3
4 2 2
4 0 4
2 0 0
10 8
1 0 1
2 0 1
1 0 2
3 1 3
2 3 1
3 3 3
0 0 3
3 0 3
1 1 3
1 0 0
10 5
3 2 1
0 0 4
1 1 4
4 4 4
2 3 4
0 4 3
3 0 0
4 0 0
2 2 3
2 1 0
10 4
0 1 4
0 0 3
1 1 1
3 2 3
2 4 2
3 2 0
4 3 3
4 2 3
3 1 2
4 3 2
10 9
0 1 1
3 2 1
2 1 1
0 1 0
1 0 1
2 3 1
1 3 2
1 0 0
1 2 0
0 3 0
10 4
2 0 1
2 2 2
2 1 0
0 2 2
0 2 0
2 1 1
1 0 1
2 0 2
1 2 0
0 1 1
10 3
0 2 0
0 0 1
2 2 1
2 1 2
0 0 2
2 0 0
1 0 0
0 1 0
0 2 1
0 0 0
10 9
1 3 1
4 3 2
2 0 2
1 3 0
0 3 3
2 1 3
0 4 3
2 1 2
4 1 0
2 0 0
10 4
2 4 3
4 1 3
2 1 3
1 2 2
4 2 0
2 4 0
4 0 1
2 0 3
4 4 4
3 2 2
10 4
1 3 2
3 1 2
3 1 0
0 3 0
2 3 3
0 1 3
0 1 1
3 0 0
1 2 2
3 3 3
10 4
3 1 3
0 3 3
3 3 3
1 0 2
3 0 2
3 0 3
3 2 0
2 1 1
1 1 1
1 2 3
10 3
0 2 0
2 1 2
0 2 1
2 0 0
2 1 1
1 0 1
2 2 1
1 1 1
2 0 1
2 0 2
10 3
1 1 2
0 2 0
1 0 2
1 0 1
1 1 1
0 0 1
0 0 2
0 2 2
0 1 2
1 2 1
10 4
3 2 3
3 4 2
3 5 5
4 5 0
5 4 2
1 5 2
3 0 5
3 5 3
1 4 3
0 3 3
10 2
0 0 2
1 0 1
0 2 1
0 2 0
0 1 2
2 2 0
1 0 0
0 0 1
0 0 0
2 0 0
10 7
2 1 3
1 0 4
0 3 1
0 1 3
3 4 2
3 2 3
4 4 3
4 3 4
1 0 3
3 4 1
10 4
3 0 0
2 3 2
1 3 2
2 2 1
1 2 0
3 1 2
2 2 2
2 1 2
0 0 2
0 1 0
10 8
0 1 1
0 2 0
2 1 3
3 2 1
0 0 2
2 3 1
1 0 3
0 0 1
1 1 1
3 0 0
10 7
0 0 1
4 0 0
0 0 5
3 3 3
2 4 5
4 0 1
5 2 3
5 4 4
4 2 0
5 4 0
10 7
1 2 0
2 1 2
0 0 0
1 0 2
1 1 2
1 2 1
2 2 1
0 2 0
0 1 0
2 2 2
10 2
2 2 0
0 0 2
0 3 0
0 3 1
2 3 1
0 2 3
3 2 3
1 3 0
1 1 3
2 2 1
10 7
3 1 2
2 2 3
1 1 1
2 4 1
2 4 3
2 0 1
0 0 4
2 3 3
0 1 0
1 2 1
10 9
4 3 5
2 2 0
0 2 5
0 3 4
1 5 2
3 3 3
4 2 5
0 2 1
0 1 4
5 1 1
10 4
4 4 2
2 1 5
2 3 5
5 2 5
3 2 2
5 4 1
2 5 2
2 4 5
5 3 1
5 4 5
10 8
2 3 3
1 0 1
1 1 3
0 1 2
0 1 1
3 3 3
1 1 2
2 1 3
0 3 1
1 0 2
10 3
4 1 1
4 2 1
3 4 1
3 0 2
0 2 4
0 1 2
1 2 3
2 2 1
1 4 0
4 2 3
10 7
1 3 4
4 3 1
2 3 1
2 2 0
2 0 3
4 0 1
1 3 3
4 1 3
4 1 1
2 3 4
10 5
5 5 3
1 4 3
1 1 1
2 3 5
5 1 5
4 3 0
4 5 3
1 0 2
2 2 3
2 2 0
10 6
0 2 0
1 2 2
2 2 1
0 0 0
2 1 2
0 0 1
2 2 0
0 2 2
1 2 1
2 1 1
10 3
2 0 1
1 2 0
0 0 1
1 1 1
2 0 2
0 2 0
1 0 1
1 0 2
0 1 1
0 0 0
10 3
0 1 0
2 2 4
4 5 3
3 4 0
2 5 4
2 3 4
0 3 3
1 3 5
5 1 0
1 1 3
10 5
1 0 0
2 0 1
1 3 2
0 1 2
3 4 1
0 2 0
0 0 1
0 3 3
4 2 2
4 1 4
10 6
4 5 0
3 2 4
0 1 0
5 1 4
4 2 4
4 3 0
5 4 2
1 1 4
1 0 4
0 3 1
10 9
0 2 0
2 3 3
3 2 2
3 3 1
3 2 1
1 0 2
0 3 1
0 3 0
2 2 0
1 3 0
10 9
3 4 3
2 4 1
1 4 1
2 0 2
2 3 1
2 2 3
2 3 2
4 2 0
4 4 3
1 2 4
10 4
3 3 2
4 0 1
5 3 2
3 2 0
0 1 0
1 4 3
4 0 4
0 4 2
3 4 2
1 3 2
10 5
3 0 1
1 1 4
2 3 3
1 0 4
1 0 1
4 0 4
1 4 2
3 4 3
2 1 1
0 2 4
10 2
1 2 0
0 5 0
3 2 1
5 4 3
2 1 0
3 5 1
5 0 0
2 0 3
4 3 4
2 2 2
10 6
1 0 0
2 2 3
2 2 1
0 1 1
1 2 1
2 3 0
3 1 1
3 1 2
2 1 1
2 2 0
10 9
1 2 1
2 2 0
0 1 2
2 2 1
1 0 0
0 2 0
0 1 0
0 0 2
0 2 2
0 2 1
10 4
5 4 3
4 5 1
1 2 5
2 4 4
5 3 5
3 3 5
3 2 4
3 2 2
3 1 3
2 0 4
10 8
3 3 2
2 4 5
0 1 2
0 1 3
5 5 4
2 2 4
4 3 1
1 1 4
4 3 4
4 2 3
10 3
5 1 2
0 5 0
5 1 4
2 3 2
3 5 4
0 3 0
5 4 3
3 4 3
2 5 2
1 1 3
10 7
0 5 5
2 0 4
0 1 5
5 1 4
0 5 1
5 5 5
0 0 5
1 3 0
2 2 3
2 3 1
10 8
3 3 4
0 2 2
2 3 3
4 2 3
0 4 0
4 0 2
0 1 3
3 0 4
1 3 2
0 1 2
10 3
3 2 3
1 2 4
2 2 0
1 2 0
0 1 0
5 5 0
0 3 5
5 5 2
0 5 3
5 4 1
10 7
3 3 0
3 0 0
0 1 0
0 0 3
2 1 3
2 1 0
1 1 1
3 3 1
2 1 2
0 2 2
10 7
0 1 2
1 3 0
0 0 0
1 1 0
3 0 0
1 0 1
2 3 1
0 2 1
0 1 3
2 3 2
10 6
1 1 3
2 2 2
0 1 2
2 2 3
0 2 1
2 3 3
3 2 1
1 0 3
1 2 2
1 1 1
10 7
2 2 2
0 0 3
0 3 0
1 2 1
3 2 0
3 2 2
2 1 0
2 3 1
1 0 0
1 2 0
10 9
3 5 2
4 4 0
3 4 4
5 5 3
3 0 4
2 4 2
3 5 1
1 3 5
4 3 5
5 0 1
10 5
2 2 1
1 1 0
0 0 0
2 0 1
2 1 2
1 2 0
2 1 1
2 2 2
0 2 1
0 2 2
10 8
2 2 3
0 0 1
2 2 0
0 2 1
2 4 3
1 3 2
1 2 2
0 4 1
2 4 1
3 0 1
10 9
1 1 0
1 1 1
0 1 2
2 0 1
2 0 0
2 1 0
1 0 1
1 0 0
0 0 0
1 1 2
10 4
2 2 0
0 2 0
2 2 1
3 1 1
2 1 2
0 0 2
1 2 1
0 1 3
2 0 1
3 3 3
10 2
2 0 0
0 4 3
1 1 3
0 3 0
2 2 3
0 4 4
2 3 2
0 2 0
1 3 0
2 2 4
10 3
3 0 4
4 3 1
5 2 2
3 3 2
5 2 4
0 1 3
2 2 4
2 1 2
5 5 1
4 4 0
10 6
2 0 0
4 3 0
1 3 2
3 0 2
1 1 0
3 4 1
2 4 2
3 1 2
3 4 4
1 4 3
10 2
0 1 1
3 2 2
3 1 1
3 4 0
0 0 2
1 0 0
3 4 4
4 3 1
4 1 1
2 3 1
10 6
1 2 2
2 0 0
0 0 3
2 0 3
1 0 0
0 1 0
2 2 0
2 3 3
1 2 3
1 0 3
10 3
1 0 3
1 3 2
3 2 2
3 2 0
3 1 2
0 2 3
2 2 3
1 3 0
1 3 3
2 2 1
10 8
4 3 3
3 4 2
3 1 2
0 0 0
2 1 1
0 2 4
3 3 2
2 1 0
1 2 2
0 3 3
10 7
0 0 3
1 4 4
2 1 3
1 1 4
1 1 3
4 0 4
1 2 3
0 4 4
4 0 3
1 4 3
10 8
2 0 1
5 0 1
1 4 5
4 1 2
1 0 5
0 3 2
5 0 5
4 4 4
3 2 5
2 4 2
10 5
3 0 3
1 2 1
1 1 0
0 1 1
2 3 0
2 2 2
1 1 2
0 1 2
3 2 0
2 3 2
10 9
4 4 2
4 4 5
5 5 3
1 0 2
4 1 1
0 0 0
4 5 5
4 2 5
1 2 5
0 3 1
10 2
1 3 0
3 2 1
0 3 2
2 1 3
1 3 3
3 0 2
2 2 1
3 1 2
0 2 3
3 1 3
10 4
0 2 2
5 5 5
2 3 4
2 4 1
5 2 5
0 3 2
5 3 1
0 0 0
1 2 4
5 2 3
10 9
3 4 2
4 3 2
4 1 3
2 4 4
0 2 2
1 2 4
4 2 4
3 3 3
3 2 0
2 2 4
10 8
2 1 0
3 0 1
0 3 2
3 2 1
0 3 3
3 2 2
0 2 1
1 3 2
1 3 3
3 2 3
10 9
2 0 1
5 0 5
3 0 0
2 1 2
4 2 5
5 3 4
5 5 4
4 3 2
2 2 5
4 1 4
10 3
3 3 2
0 2 3
0 0 3
0 2 0
1 3 0
1 2 1
3 0 0
1 2 3
1 3 2
2 3 3
10 5
1 3 1
0 1 3
2 0 2
3 1 1
1 2 1
1 0 0
1 3 0
3 0 2
1 3 2
3 3 2
10 6
2 2 1
0 3 3
3 2 3
3 2 2
3 1 3
1 2 2
3 0 0
2 3 2
1 0 1
2 2 3
10 7
2 2 1
3 0 2
1 1 2
0 2 3
1 2 0
2 0 0
1 1 0
0 3 3
3 2 2
2 2 2
10 5
2 1 0
2 2 1
1 0 3
3 0 1
3 2 0
1 0 0
0 2 3
1 1 2
0 3 3
0 0 2
10 4
3 3 3
2 3 2
1 1 1
2 3 1
2 2 0
3 1 0
0 3 3
0 0 3
1 1 2
2 3 0
10 8
2 2 2
0 0 0
0 2 1
2 2 0
1 1 2
1 1 0
1 2 0
1 2 1
2 0 2
1 0 2
10 2
2 3 0
3 3 3
2 4 3
4 1 2
2 4 2
0 0 4
3 4 3
5 5 4
1 4 4
0 5 1
10 4
2 2 1
1 2 0
1 2 1
1 0 2
2 0 2
2 1 0
0 1 1
2 0 1
0 2 1
0 0 2
10 5
0 2 4
0 3 1
4 2 0
0 2 0
0 3 4
0 0 2
4 1 4
2 3 3
3 1 0
1 0 1
10 8
0 0 2
1 1 0
0 0 1
1 1 2
1 1 1
1 2 1
1 0 0
0 1 2
1 0 2
1 2 0
10 9
2 3 3
2 3 2
1 4 3
4 3 4
0 3 3
5 1 0
2 2 5
2 5 1
4 1 5
0 4 0
10 7
2 2 3
2 2 1
0 0 2
1 0 2
1 3 2
0 2 2
3 1 2
0 0 3
3 1 0
1 0 1
10 3
2 5 0
3 0 0
0 4 0
1 4 0
0 0 1
1 0 0
5 0 2
2 5 4
0 1 5
4 4 3
10 4
3 4 4
0 3 2
4 3 1
4 4 0
1 3 3
1 2 4
0 2 0
2 2 2
1 2 3
0 1 1
10 7
1 1 0
2 1 0
0 2 3
3 0 2
5 5 4
0 4 5
4 1 5
4 5 5
5 5 5
1 3 5
10 2
5 4 4
3 2 0
3 4 4
0 4 5
3 2 2
0 3 4
3 5 0
0 2 1
5 2 4
1 4 1
10 9
3 1 5
0 0 2
4 4 1
3 5 1
4 4 0
1 2 0
3 2 4
5 3 2
5 5 0
3 4 1
10 4
2 3 4
0 3 2
3 4 1
0 3 0
3 1 2
4 0 3
1 3 1
2 2 3
4 3 3
2 1 1
10 6
2 2 1
2 0 0
1 0 0
2 2 2
1 2 0
2 1 1
2 1 2
1 0 2
2 0 2
2 1 0
10 4
2 2 1
0 0 3
2 3 1
0 2 1
2 0 2
2 3 3
1 3 1
3 0 3
3 1 2
2 1 3
10 9
0 2 0
4 2 4
1 0 1
3 1 2
0 4 3
1 4 4
0 4 2
0 0 4
2 0 2
1 3 4
10 6
1 4 3
4 0 4
2 4 0
4 2 4
0 4 0
4 1 2
3 3 2
4 0 0
0 1 1
4 4 1
10 5
2 2 1
2 2 0
0 2 0
0 1 1
1 0 1
2 0 1
0 2 1
2 0 0
2 0 2
1 0 2
10 7
2 1 0
2 2 1
1 1 1
2 1 1
0 1 0
0 0 1
0 1 2
1 1 2
1 0 1
2 2 0
10 7
0 1 1
2 1 1
2 0 1
1 1 0
1 2 0
2 2 2
0 2 0
1 0 2
2 2 1
1 2 2
10 9
3 0 0
0 3 1
2 1 0
0 2 0
0 1 0
3 0 1
0 0 1
3 1 2
1 0 3
2 0 1
10 7
0 2 0
2 0 2
0 1 0
0 2 1
2 1 2
2 2 1
1 1 2
1 1 0
0 1 1
1 2 1
10 6
0 1 0
1 2 0
0 2 1
0 0 2
1 0 1
0 0 0
1 1 1
2 2 2
1 1 0
2 2 1
10 7
2 1 1
1 0 0
2 1 2
0 2 2
1 2 1
0 0 2
1 2 0
1 1 2
1 2 2
0 1 2
10 5
2 1 1
0 0 2
2 2 2
1 2 0
0 0 1
1 2 2
0 2 2
0 1 0
2 2 0
2 1 0
10 2
2 3 0
2 0 0
0 0 3
2 2 3
1 2 1
0 1 0
1 1 0
3 1 2
3 3 1
3 0 1
10 9
0 4 4
2 0 4
4 4 1
0 0 2
4 4 2
3 1 0
1 3 2
0 0 4
1 2 2
3 2 2
10 8
0 0 1
2 2 0
0 2 1
1 2 1
0 1 0
1 0 1
1 2 2
2 0 2
0 0 2
1 1 0
10 7
2 4 5
5 3 2
3 0 1
2 1 2
4 4 1
1 4 4
4 5 2
2 5 5
5 4 4
4 4 5
10 3
1 1 0
2 2 2
0 0 1
0 0 2
2 0 1
1 2 0
0 1 0
1 1 1
2 2 1
0 2 1
10 8
0 2 4
5 5 1
1 3 5
5 5 2
4 2 2
3 5 5
4 2 3
4 2 4
0 5 1
2 1 5
10 6
3 0 2
4 1 4
4 4 0
0 2 0
0 3 2
0 3 1
0 1 4
3 1 2
4 0 2
3 0 1
10 3
5 1 5
1 4 2
1 0 0
2 0 1
0 1 3
0 5 4
0 0 4
0 1 1
4 1 3
3 4 2
10 9
0 5 0
4 1 0
5 5 0
0 3 0
3 0 5
5 3 5
3 4 4
1 0 4
3 4 5
1 3 4
10 3
2 2 2
2 2 4
3 3 4
1 0 4
3 4 0
3 4 3
1 2 2
0 1 1
4 0 3
0 0 4
10 4
2 0 3
0 2 1
1 3 0
2 2 0
1 0 1
0 0 3
0 3 3
3 0 2
3 2 3
0 2 0
10 7
2 0 0
2 0 2
2 1 1
1 2 1
2 0 1
1 2 0
1 0 1
2 2 2
0 2 1
0 1 2
10 3
3 4 4
4 2 0
0 4 1
1 3 0
4 2 1
0 4 4
4 0 0
0 2 1
1 1 1
2 2 4
10 3
3 0 0
0 0 0
1 1 0
0 2 1
3 3 3
0 3 0
2 1 2
2 2 3
2 1 3
3 1 2
10 8
3 5 1
0 5 2
3 3 2
2 5 1
1 2 1
5 2 3
2 1 2
5 4 4
0 4 2
3 1 2
10 7
3 2 3
1 1 0
0 0 3
0 1 2
0 2 1
1 0 2
1 3 3
3 2 0
0 2 0
3 1 3
10 3
0 2 0
0 1 0
2 0 2
2 0 0
1 1 2
1 0 2
1 2 0
2 1 1
0 2 1
1 1 0
10 2
3 3 3
1 1 2
1 3 1
3 0 0
1 2 0
2 0 1
0 3 0
3 3 1
3 0 1
0 3 3
10 8
5 1 2
2 4 3
2 0 0
5 2 1
1 1 1
4 4 3
5 1 0
2 1 5
1 0 1
4 5 3
10 3
0 2 0
2 0 0
2 1 1
0 0 1
0 0 0
2 1 2
2 2 0
1 1 2
0 2 2
2 2 1
10 7
0 0 0
0 2 1
0 2 2
1 2 0
1 2 1
0 1 2
2 2 0
1 1 0
1 2 2
2 0 2
10 3
2 4 3
0 1 0
2 1 4
0 3 1
1 0 1
4 1 3
2 2 1
4 1 4
3 3 1
2 2 2
10 5
1 2 1
3 3 0
1 1 3
2 2 3
3 1 0
3 1 3
2 2 0
2 0 2
2 3 2
1 2 0
10 4
3 1 5
1 2 5
3 0 0
2 4 1
0 3 5
4 4 4
1 1 5
2 4 3
4 2 1
3 2 2
10 6
4 1 3
0 4 1
2 2 0
1 4 3
3 4 4
1 4 0
0 2 0
3 0 3
2 0 3
2 4 4
10 6
2 1 2
1 1 1
0 2 1
2 1 1
2 1 0
1 2 0
2 2 0
2 0 2
0 1 1
1 0 0
10 5
1 0 4
1 0 1
1 0 0
0 2 1
2 3 0
4 3 3
4 4 2
0 0 2
4 2 1
3 0 3
10 5
3 0 0
3 4 4
4 3 3
2 0 3
3 1 4
3 1 3
3 0 4
1 1 4
3 2 2
0 1 3
10 3
0 2 3
3 0 0
0 1 3
1 1 2
1 2 1
2 1 1
2 3 3
3 0 2
1 0 2
2 2 2
10 5
2 3 1
2 3 3
1 1 2
2 0 3
1 0 2
0 1 1
0 2 2
3 0 1
0 0 3
0 1 2
10 6
4 1 2
4 5 0
4 1 4
3 1 1
0 1 4
0 5 0
4 4 0
4 4 3
0 5 3
4 5 1
10 2
2 2 1
2 1 1
1 0 1
2 2 2
0 1 0
2 1 2
2 0 0
0 1 2
2 0 1
0 1 1
10 4
5 1 3
4 4 4
3 1 2
2 3 5
0 3 2
1 3 5
3 0 3
4 5 3
4 1 1
3 4 2
10 5
1 2 0
0 1 0
0 1 1
2 2 0
2 0 1
1 1 2
1 1 1
1 0 2
0 2 1
2 1 0
10 6
3 2 0
3 2 2
0 2 1
1 0 3
3 0 3
3 2 3
3 3 2
0 1 1
0 2 0
0 3 0
10 3
2 0 0
1 0 0
0 1 1
0 2 2
0 2 1
1 0 1
2 2 0
1 1 0
2 0 2
2 1 0
10 2
2 2 1
0 0 1
2 1 2
1 1 2
1 0 0
1 1 0
1 0 2
0 0 2
2 1 0
0 2 0
10 2
1 1 0
0 5 3
0 2 3
1 4 2
3 5 3
1 3 5
1 0 4
0 4 4
3 1 5
1 5 2
10 3
3 1 0
3 1 1
1 3 0
1 0 3
1 1 2
3 3 2
1 0 2
2 0 0
2 0 1
3 2 0
10 8
1 2 0
0 2 0
0 0 2
2 0 0
0 1 0
2 1 0
1 0 0
0 2 1
2 2 2
2 2 1
10 8
1 0 1
0 2 1
2 3 0
0 0 0
2 2 4
4 3 4
3 4 2
2 2 3
2 4 2
1 4 1
10 4
1 4 1
1 3 4
4 3 3
0 2 2
3 1 2
1 0 4
3 2 0
3 2 3
3 1 1
2 2 3
10 5
1 2 0
0 2 1
0 2 0
1 1 1
0 1 2
0 0 0
2 2 0
1 2 1
2 0 1
1 1 0
10 4
1 3 4
3 2 3
0 1 4
2 4 0
1 2 4
1 2 1
0 4 1
4 4 1
1 4 1
0 2 4
10 7
0 2 1
0 2 2
0 2 0
2 1 2
1 0 2
1 1 0
0 0 2
2 2 2
0 1 2
0 1 1
10 8
0 2 1
0 1 2
2 0 0
2 1 2
1 2 1
1 0 0
0 2 0
0 0 2
0 2 2
0 0 0
10 4
2 2 1
0 2 0
0 1 0
0 0 2
1 2 2
2 1 0
2 0 2
0 2 2
1 0 0
1 0 2
10 3
1 3 1
0 3 0
2 3 3
2 1 1
2 2 2
1 0 3
2 3 2
1 2 0
0 1 2
3 1 1
10 3
1 2 2
1 2 3
3 2 1
3 3 2
1 0 0
2 3 3
1 1 2
2 2 2
3 1 1
2 3 0
10 7
1 2 2
1 1 1
2 0 0
0 2 2
2 0 2
2 1 0
0 0 1
1 1 2
1 1 0
2 2 1
10 4
3 0 4
3 1 4
4 1 5
2 2 4
5 5 1
0 1 0
4 2 2
2 0 3
4 5 0
2 3 0
10 9
2 1 1
2 0 5
0 0 5
5 5 5
3 4 0
4 1 3
0 1 4
5 2 5
0 5 0
0 5 1
10 6
0 0 0
2 1 1
3 3 0
3 0 3
2 0 1
3 2 1
2 1 0
3 0 0
3 0 2
2 3 1
10 2
0 3 0
3 2 3
2 0 1
1 3 2
3 1 0
3 2 2
1 3 3
3 0 1
2 3 3
0 3 2
10 3
0 1 2
2 2 2
2 3 2
1 0 0
0 0 4
0 1 4
5 5 0
5 2 1
5 3 5
2 1 4
10 7
2 1 0
3 1 1
3 1 3
2 2 2
2 0 2
1 0 2
1 3 3
3 2 0
0 1 3
0 2 2
10 8
4 5 0
3 5 3
5 1 3
4 4 0
3 3 2
5 5 4
3 0 3
2 4 2
5 1 4
1 0 2
10 5
3 0 0
3 2 3
0 0 3
3 1 2
0 1 0
2 0 0
2 0 1
0 1 2
1 3 0
1 0 1
10 7
3 1 3
1 1 0
1 3 2
0 1 3
2 3 0
2 1 2
1 3 1
0 1 1
2 0 0
0 0 0
10 4
0 0 2
0 1 2
1 0 1
2 0 2
2 1 0
1 1 0
1 1 1
1 0 2
2 0 0
0 1 1
10 3
4 2 0
4 2 4
4 5 4
5 3 4
4 1 4
5 3 1
1 5 0
1 3 5
4 3 5
4 2 2
10 7
0 3 4
2 0 0
2 3 0
2 4 5
0 4 5
0 2 0
5 2 3
4 1 4
3 0 5
0 5 5
10 3
2 1 0
2 1 1
0 1 2
1 1 2
2 0 0
2 2 0
2 0 1
0 0 2
0 2 1
1 0 1
10 8
4 0 1
3 1 4
1 2 3
3 4 4
0 4 3
1 2 1
3 0 3
0 1 4
4 4 0
4 0 4
10 6
3 1 0
1 4 4
3 3 2
2 4 0
2 0 4
2 0 1
2 4 1
1 0 3
3 2 3
0 1 2
10 4
2 2 1
0 2 2
2 2 2
2 1 1
2 2 0
0 0 0
0 0 1
0 2 1
0 1 1
0 2 0
10 6
3 1 0
4 2 4
3 1 4
0 2 2
1 3 2
4 3 0
0 1 4
3 3 2
3 0 4
4 1 4
10 3
4 3 4
0 4 3
2 0 0
4 1 3
4 0 1
1 3 0
1 0 0
2 0 3
3 3 3
3 0 0
10 8
4 3 4
0 0 4
3 3 3
1 1 1
4 1 2
1 2 3
3 4 1
3 2 0
0 2 1
4 1 0
10 3
3 0 1
1 0 3
0 1 2
2 2 1
3 0 3
3 1 3
1 3 2
1 1 1
3 2 1
3 3 1
10 3
1 0 3
4 3 5
3 1 3
5 0 1
4 0 4
1 4 5
4 4 4
2 2 2
2 5 4
3 1 1
10 4
3 2 1
2 3 1
0 1 3
3 2 2
2 3 2
0 2 3
3 2 0
2 1 3
2 2 3
3 1 1
10 6
2 1 2
2 0 0
2 2 1
2 1 1
2 0 1
1 0 1
1 2 2
0 0 0
1 1 0
2 1 0
10 2
1 4 1
0 4 0
1 3 5
4 2 1
5 5 1
2 5 2
5 0 1
1 4 4
2 4 4
5 0 5
10 5
0 3 2
5 3 1
3 5 3
0 2 0
1 2 3
4 0 2
5 2 4
3 4 5
0 1 0
4 5 5
10 5
2 2 3
3 0 3
1 1 3
0 1 1
0 3 1
1 3 1
2 1 3
2 2 1
2 1 1
0 1 3
10 5
0 1 0
2 0 2
0 0 2
2 0 0
2 1 0
0 1 1
1 2 0
2 1 2
1 0 2
2 2 1
10 2
0 0 2
3 4 5
3 5 5
3 1 2
3 3 3
4 4 3
2 5 2
5 0 2
0 2 4
5 3 1
10 2
2 1 0
0 0 0
0 2 0
0 2 1
1 0 2
0 1 0
0 1 1
0 2 2
1 0 0
1 1 1
10 6
2 0 0
3 1 2
1 0 3
2 0 3
2 1 3
0 3 2
0 1 2
2 2 1
2 3 1
1 3 2
10 8
2 3 3
0 2 2
3 3 1
0 3 1
1 0 2
3 1 2
0 1 1
1 0 3
2 1 0
1 3 0
10 9
0 1 1
2 0 2
1 0 2
0 1 2
0 0 1
2 0 1
1 1 2
0 0 2
0 2 1
2 1 0
10 6
1 3 4
0 5 0
0 4 3
0 0 2
3 4 4
2 4 3
0 2 4
4 3 1
2 3 3
4 2 4
10 3
1 2 1
3 3 2
1 0 0
3 2 2
3 1 1
0 1 3
3 0 3
0 2 1
2 2 1
1 1 2
10 8
0 2 0
3 2 0
0 0 1
0 1 0
3 3 3
2 3 1
0 1 2
2 1 2
1 1 2
0 0 3
10 3
0 2 2
0 2 1
2 0 1
1 2 1
0 2 0
1 1 1
2 2 2
0 1 1
0 1 2
0 1 0
10 8
3 5 1
5 0 0
3 2 0
1 4 3
0 4 1
2 2 1
2 2 5
4 0 0
1 4 5
4 5 2
10 7
3 3 1
0 1 3
0 3 0
1 0 1
0 0 0
1 1 2
2 0 1
1 2 0
2 1 0
1 1 1
10 6
3 2 2
0 2 2
0 2 1
2 1 0
1 2 2
1 0 3
1 1 0
3 1 2
1 2 1
3 2 3
10 2
3 5 3
5 1 3
4 3 3
0 2 4
3 4 2
1 4 0
4 5 1
5 1 5
1 1 4
2 1 3
10 5
1 1 0
1 0 0
0 3 2
3 2 1
0 0 0
3 3 3
3 3 0
2 2 0
3 0 1
3 1 3
10 8
3 0 1
3 2 1
0 3 2
1 0 0
1 1 2
2 0 2
3 2 2
3 3 3
2 2 0
0 1 3
10 3
0 0 5
0 4 0
4 5 3
1 2 0
2 0 2
2 0 1
2 5 0
2 5 1
5 2 2
0 2 3
10 8
4 1 4
1 4 0
4 0 0
4 4 3
3 1 3
1 1 1
3 2 4
4 4 0
2 0 3
1 3 1
10 5
5 5 3
3 4 3
3 4 0
3 1 0
1 4 3
0 0 2
2 3 3
1 2 0
2 3 5
1 5 4
10 2
4 3 2
0 1 3
4 2 3
0 3 1
0 4 0
1 1 3
2 0 3
1 4 1
4 2 4
2 2 0
10 7
2 0 0
2 2 2
1 2 2
1 0 1
0 0 2
2 1 1
2 2 1
2 1 0
2 1 2
1 0 2
10 2
0 1 0
0 0 0
1 1 1
2 0 1
2 0 2
1 2 0
1 2 2
2 2 2
1 1 2
1 0 1
10 9
1 3 3
2 3 1
0 3 0
1 0 0
2 3 0
1 1 1
2 3 3
2 1 1
0 1 2
3 1 1
10 8
0 3 3
1 1 1
2 1 2
2 2 2
0 0 0
0 2 1
2 3 2
2 3 1
3 0 1
1 2 0
10 9
2 3 0
3 3 3
2 1 0
2 0 3
2 0 1
0 1 0
0 3 2
1 3 1
2 0 0
2 2 1
10 2
2 0 1
1 1 0
0 2 1
0 2 0
1 2 1
0 1 0
2 2 1
1 2 0
1 0 1
1 1 1
10 6
4 3 2
2 0 0
0 2 3
0 4 1
3 2 2
1 4 1
0 1 2
1 1 4
0 2 4
2 2 0
10 6
1 1 1
2 2 1
2 0 1
2 2 2
2 0 0
1 0 0
1 1 2
0 0 2
1 0 1
1 2 1
10 6
2 0 0
1 2 0
0 2 3
0 2 4
4 0 3
3 1 2
1 3 0
1 3 3
1 2 1
0 4 3
10 3
2 1 1
4 4 1
4 0 0
2 1 3
3 0 4
3 2 4
0 1 3
3 1 0
1 1 1
0 4 1
10 6
0 4 5
5 0 3
2 0 1
1 4 5
0 1 2
2 1 3
5 0 4
5 4 5
2 3 2
0 3 3
10 5
3 1 3
0 0 2
1 1 3
1 3 0
3 1 1
0 3 2
0 0 3
3 2 0
3 0 0
2 0 3
10 6
2 0 3
1 1 1
3 0 0
3 2 0
0 2 4
2 4 3
1 4 2
0 4 0
1 2 4
0 1 4
10 7
4 2 0
4 3 1
4 5 0
5 2 5
0 3 3
4 2 1
4 4 5
4 2 3
0 2 2
1 2 2
10 6
3 1 1
4 1 1
2 0 3
3 2 2
4 1 0
0 2 0
0 3 0
1 1 2
3 3 4
2 1 4
10 7
3 4 3
4 3 2
4 1 4
4 4 2
3 3 1
0 5 0
5 1 4
3 5 0
5 3 0
3 5 2
10 9
4 5 5
3 2 5
4 0 5
2 2 5
3 3 4
1 1 0
2 4 0
0 2 5
2 3 4
3 5 0
10 8
0 2 2
1 0 0
2 1 2
0 0 0
2 2 0
0 2 1
1 2 1
0 1 1
2 2 1
0 1 2
10 3
4 4 0
4 1 3
0 0 2
2 1 2
3 3 3
3 3 2
1 0 1
1 2 3
0 3 3
0 3 2
10 7
2 0 1
2 1 0
0 2 2
2 0 0
1 3 0
0 3 0
3 0 2
0 0 3
2 2 0
0 0 2
10 2
2 4 0
3 0 2
5 1 2
1 4 3
1 1 1
3 4 4
4 3 4
4 5 0
1 1 3
1 0 2
10 8
3 1 3
0 3 3
1 3 3
3 2 3
0 1 3
1 2 3
0 3 0
0 3 2
0 0 3
3 0 1
10 6
0 2 2
0 0 1
2 1 1
2 2 1
1 0 0
2 0 2
0 0 0
1 0 2
1 1 1
0 1 0
10 2
1 0 2
5 4 5
0 2 5
1 1 0
5 2 2
2 1 2
4 4 2
5 5 0
0 5 5
5 5 1
10 7
0 2 4
3 0 1
4 0 4
5 0 1
3 0 0
0 2 5
4 5 1
3 1 2
5 5 3
0 1 1
10 2
3 1 0
2 4 5
4 5 4
4 1 1
0 3 2
1 4 5
4 4 1
4 3 3
0 1 1
2 5 4
10 5
2 2 1
1 2 1
2 0 1
2 1 0
0 0 0
0 1 1
1 0 2
1 1 1
0 0 1
1 0 1
10 6
3 5 5
3 3 2
1 0 4
0 3 5
0 4 5
5 3 0
3 3 3
3 3 1
2 2 0
0 4 0
10 8
3 1 0
3 1 3
0 2 1
0 1 1
3 2 3
2 4 4
4 4 3
0 3 4
4 0 1
2 1 2
10 4
0 2 2
1 0 0
1 2 1
2 1 0
1 2 2
1 0 2
0 2 1
0 0 1
1 2 0
0 0 2
10 9
1 0 3
2 3 0
3 1 3
5 2 4
5 2 3
2 5 1
4 3 1
0 0 4
1 3 0
1 3 4
10 9
1 1 1
1 1 0
1 2 0
2 0 2
1 2 1
2 1 2
1 1 2
0 0 0
1 0 2
2 2 2
10 3
4 2 0
4 2 2
1 4 0
1 4 4
3 1 4
3 0 3
2 1 1
4 4 2
1 4 2
3 2 2
10 6
1 1 1
0 4 5
1 2 3
4 2 1
5 3 3
3 4 0
2 5 2
4 4 5
0 3 2
3 4 4
10 3
4 0 2
4 1 1
1 3 3
3 0 2
1 0 0
4 0 3
0 1 0
0 2 4
1 3 2
4 4 4
10 7
5 3 2
5 3 4
1 5 1
1 1 1
1 1 5
2 5 3
5 1 1
0 4 1
5 2 2
1 4 1
10 6
1 0 1
0 1 0
0 0 1
0 2 2
1 0 0
1 1 0
0 1 2
1 1 2
1 0 2
2 0 0
10 4
1 3 1
3 0 1
0 2 2
0 2 1
2 0 3
0 1 0
1 0 2
0 0 1
1 2 1
1 1 0
10 8
1 2 0
0 2 0
1 1 0
0 0 1
2 0 0
0 1 0
1 0 2
1 0 0
2 1 2
2 2 0
10 5
0 1 0
0 1 1
1 2 2
1 1 1
1 2 0
1 1 0
2 2 0
2 2 2
2 0 2
1 0 0
10 7
1 2 3
3 3 0
3 2 2
0 2 1
0 2 2
3 1 3
2 3 2
1 2 2
1 3 1
2 2 2
10 5
2 0 0
1 1 2
2 2 2
2 1 1
2 2 1
1 0 2
0 1 2
1 2 1
0 2 1
2 0 1
10 5
0 2 0
2 1 1
1 0 1
0 1 2
2 2 1
1 1 1
1 2 0
2 2 0
1 0 0
2 0 2
10 8
0 2 2
0 1 0
2 0 1
2 0 2
2 1 0
2 2 1
1 1 0
1 0 1
2 1 1
1 2 2
10 6
0 4 4
0 0 1
1 4 0
2 1 2
5 4 3
3 3 5
3 4 1
2 3 3
4 4 3
0 3 2
10 5
2 1 1
0 0 0
1 0 1
0 1 0
2 2 2
2 0 1
0 0 1
0 1 2
1 0 2
0 2 1
10 9
4 1 1
0 3 1
0 2 2
0 2 4
2 3 4
2 2 3
3 4 1
4 4 1
0 1 0
4 1 3
10 6
2 0 0
0 3 2
2 1 1
2 2 1
3 3 2
1 3 0
2 3 0
0 1 0
0 0 0
1 3 3
10 4
1 5 0
5 5 4
5 3 0
4 1 1
3 4 3
1 0 5
3 5 1
4 4 1
4 5 5
4 4 4
10 6
1 1 0
2 0 2
2 2 0
0 0 0
0 0 2
2 1 0
1 2 2
2 1 2
2 2 1
2 1 1
10 4
4 1 4
3 4 0
2 4 4
1 2 0
1 1 2
0 3 0
1 3 3
3 3 1
0 0 3
1 0 2
10 4
4 4 4
4 1 1
1 3 3
2 2 2
0 2 2
4 2 0
2 0 3
0 3 3
2 4 0
1 2 0
10 6
1 3 2
1 0 0
1 2 2
1 1 0
0 2 1
0 2 0
1 2 3
2 1 0
0 1 0
0 0 2
10 4
3 4 1
1 2 4
1 2 0
1 3 2
3 3 1
2 2 2
0 0 2
3 0 2
4 3 0
0 2 0
10 6
3 1 2
4 2 1
4 0 2
2 0 3
3 0 1
4 1 3
1 4 2
2 1 4
4 3 4
3 2 1
10 3
2 3 4
0 1 0
1 0 1
0 1 2
1 1 0
4 3 0
4 2 0
0 3 1
4 1 0
4 1 1
10 7
4 5 3
1 5 3
0 0 0
1 0 2
0 2 2
3 5 0
0 1 3
3 3 1
2 5 2
5 0 5
10 9
0 2 3
4 4 3
3 0 4
1 1 0
2 3 4
0 3 1
2 4 1
1 4 3
2 3 1
4 2 0
10 8
3 2 3
2 3 1
2 2 3
1 2 0
0 1 1
0 3 2
1 1 1
3 3 0
3 2 1
0 1 3
10 7
3 0 3
4 3 0
1 4 4
0 3 4
0 2 3
0 0 4
3 2 2
3 3 2
1 0 0
2 2 1
10 4
2 3 1
3 1 2
3 1 3
0 1 1
0 2 0
1 1 3
0 1 3
0 3 2
2 1 1
3 0 2
10 4
2 0 0
2 1 0
0 0 0
0 2 2
2 2 0
2 1 2
1 0 1
0 0 2
2 0 1
2 1 1
10 4
1 0 1
2 0 0
1 2 1
0 2 0
2 1 2
1 0 2
2 2 0
0 1 0
2 1 0
0 2 2
10 4
1 2 0
2 3 2
2 0 2
2 1 2
3 0 1
1 0 3
0 3 1
1 1 1
1 3 0
0 1 1
10 4
3 2 3
0 3 1
1 1 1
2 2 1
1 2 1
0 0 1
2 3 3
0 1 0
0 0 2
2 0 0
10 4
2 0 2
3 3 4
4 1 0
1 1 2
1 1 4
4 1 2
2 0 3
4 3 0
2 1 2
2 2 0
10 4
3 2 3
0 3 3
3 2 4
2 0 4
2 1 4
0 0 2
2 4 4
3 4 2
1 1 3
2 3 4
10 5
4 3 4
0 4 1
3 1 1
0 0 5
3 2 0
4 2 0
1 2 2
5 2 0
0 4 5
2 2 5
10 9
3 5 1
5 4 1
1 1 0
5 2 3
5 3 5
4 2 4
3 1 3
5 5 4
2 3 0
5 4 4
10 8
4 0 1
0 1 3
3 0 0
1 3 0
4 4 1
2 3 4
4 0 0
0 0 1
1 1 0
2 2 4
10 5
0 1 3
2 3 4
4 1 1
3 4 2
0 3 0
1 4 4
3 3 2
0 0 0
1 3 4
0 3 4
10 8
3 1 0
0 2 1
3 1 1
0 1 0
3 2 3
2 3 0
2 3 1
0 0 3
1 3 3
0 2 2
10 8
3 3 3
3 4 1
2 0 1
2 3 2
4 0 4
0 0 1
4 4 1
4 4 2
2 2 1
3 1 0
10 9
1 0 0
1 1 3
3 2 2
3 0 3
3 2 3
0 0 3
3 3 2
2 2 2
3 1 1
1 0 3
10 9
1 1 3
2 3 2
1 1 1
2 0 1
0 3 3
0 3 1
3 2 2
1 3 1
0 0 1
2 2 3
10 8
0 2 2
0 0 2
0 1 2
1 2 2
0 0 0
1 0 0
0 1 0
0 2 1
2 2 2
1 1 0
10 8
2 2 0
0 3 2
2 0 3
3 3 3
2 0 0
0 3 1
0 1 2
3 2 1
1 3 0
2 1 3
10 6
1 2 2
1 0 0
0 1 2
0 0 1
2 1 2
2 0 0
2 0 1
2 1 1
0 1 0
1 1 1
10 4
1 0 0
2 0 0
1 2 0
2 1 0
2 1 1
0 2 2
1 2 2
0 2 0
0 1 2
2 0 2
10 6
0 3 1
2 2 3
0 5 0
3 4 3
5 3 5
4 2 5
0 5 1
0 5 3
3 5 3
0 2 5
10 2
1 0 2
1 2 0
2 0 1
0 1 1
2 1 1
2 2 0
1 0 0
0 1 2
0 2 0
1 1 2
10 6
0 1 2
2 0 2
0 1 1
3 3 0
2 3 3
2 2 2
1 2 0
0 0 0
1 2 2
2 0 1
10 8
1 0 1
1 2 4
2 5 3
4 1 0
1 5 2
4 2 1
1 2 5
5 4 4
4 2 0
1 5 4
10 6
1 1 4
4 0 0
2 4 2
4 3 1
1 3 2
0 3 0
0 0 3
4 2 0
1 0 0
3 0 1
10 9
3 2 3
3 2 5
2 1 0
1 1 0
0 0 3
5 4 2
5 3 5
1 2 4
3 4 3
4 0 0
10 6
0 1 0
2 1 2
0 1 2
0 0 1
0 1 1
1 2 1
2 2 0
1 1 1
2 1 0
1 2 2
10 2
3 2 2
3 4 2
4 4 3
0 0 0
2 0 0
0 4 1
3 3 2
2 3 4
1 4 3
2 2 2
10 2
0 3 0
4 3 4
0 3 2
2 4 3
3 1 2
2 3 2
4 2 1
1 3 2
0 1 3
4 0 0
10 4
0 3 0
0 4 1
3 4 0
4 0 1
1 4 1
1 0 0
1 1 1
2 0 4
2 3 4
4 4 4
10 7
2 2 0
1 0 2
4 1 4
0 0 1
4 0 2
3 4 0
0 4 0
4 2 3
0 2 2
2 3 1
10 7
1 2 0
0 1 0
3 3 3
1 1 3
1 3 3
0 0 0
1 1 0
0 2 1
2 0 2
1 1 1
10 6
3 5 4
2 1 2
2 4 1
3 4 0
5 3 4
5 4 1
5 5 2
4 0 1
5 1 4
2 2 3
10 4
2 4 5
1 4 2
3 5 1
4 3 1
3 1 5
1 3 5
2 1 3
1 2 5
5 2 5
4 4 0
10 8
4 0 2
0 0 4
1 3 2
3 2 1
3 3 1
3 2 2
2 2 4
4 2 2
1 0 2
3 0 3
10 3
3 0 0
4 4 3
3 2 3
3 2 0
0 4 2
3 2 2
5 0 5
4 5 0
1 5 0
0 1 1
10 6
1 4 4
0 2 2
0 2 3
4 3 1
3 4 3
2 1 0
0 3 0
0 3 4
2 1 2
4 4 4
10 6
0 2 1
2 0 2
1 2 1
2 4 2
3 0 4
2 3 3
1 4 3
4 1 4
4 1 2
1 2 4
10 4
1 0 2
0 3 2
0 1 3
2 1 0
1 2 1
3 3 0
0 3 0
0 1 0
1 3 0
1 1 2
10 2
0 3 4
1 3 1
4 2 2
4 4 2
4 0 4
4 2 4
2 0 2
1 2 3
4 3 3
4 4 1
10 2
3 4 0
1 2 4
3 0 4
2 1 0
2 4 3
1 0 3
3 0 2
4 3 2
4 1 3
0 0 2
10 8
1 0 1
3 0 0
0 3 3
3 2 1
4 3 3
3 2 4
2 1 3
4 4 4
1 0 2
0 0 1
10 4
0 2 0
1 0 0
0 1 1
2 0 1
1 1 1
1 0 1
0 0 1
1 2 0
0 1 0
0 1 2
10 8
1 2 3
1 1 3
2 0 0
2 1 2
2 0 2
3 3 2
0 3 3
3 0 0
3 3 0
1 0 3
10 8
2 5 3
5 1 3
5 0 2
0 5 4
4 3 0
3 5 1
0 3 2
3 0 3
0 3 5
2 4 5
10 6
4 1 0
3 3 4
1 4 1
2 1 2
0 3 0
4 4 2
0 4 2
1 3 4
0 0 2
4 3 1
10 8
1 1 1
2 1 0
0 2 2
1 1 0
2 2 0
2 2 2
2 0 2
2 2 1
1 2 0
0 0 1
10 3
1 0 0
1 0 3
3 0 3
1 1 1
1 3 2
0 0 1
2 1 2
1 2 2
2 2 1
2 1 0
10 2
2 3 0
3 2 5
1 4 4
2 1 4
1 2 3
1 2 2
0 2 3
2 5 5
4 2 2
0 5 3
10 3
1 2 2
2 2 1
2 1 1
0 1 2
0 2 0
2 0 0
1 2 0
2 0 2
2 2 0
0 2 2
10 7
2 3 1
3 0 2
1 2 3
1 0 1
0 1 3
3 1 2
1 1 1
2 3 0
1 1 3
1 2 0
10 4
4 1 3
2 0 1
3 4 2
3 0 4
3 4 1
2 1 1
0 1 2
0 4 4
2 3 4
1 3 1
10 7
3 5 1
2 1 1
0 1 2
5 2 1
2 3 4
5 3 3
3 1 0
5 1 0
2 2 3
1 4 1
10 5
2 3 2
1 4 4
1 1 2
0 4 4
2 2 2
3 2 1
1 0 1
4 0 1
0 1 1
2 3 1
10 5
3 4 2
4 0 2
2 2 3
2 1 0
2 2 0
0 2 4
0 0 0
0 3 3
2 1 1
2 3 3
10 3
0 0 2
2 1 1
1 1 1
0 2 1
2 2 0
1 2 1
0 1 0
0 1 2
1 0 1
0 2 2
10 2
0 3 1
1 2 3
1 1 3
3 3 3
0 0 1
3 0 1
3 1 0
2 1 3
2 1 0
2 0 3
10 5
2 1 1
0 0 2
0 2 0
2 2 1
2 2 0
1 1 2
1 0 2
0 1 1
1 1 0
2 0 0
10 9
3 0 3
3 0 0
0 5 3
1 1 5
5 5 3
3 0 5
5 0 3
5 3 3
5 4 1
4 1 1
10 9
4 1 0
3 4 1
1 1 3
1 0 4
2 4 3
3 4 4
0 1 2
2 2 4
4 4 2
1 1 1
10 3
5 2 2
5 5 4
1 2 1
0 3 1
3 1 0
3 2 4
4 0 1
4 2 2
2 3 3
3 3 4
10 8
4 1 4
0 5 1
2 0 2
0 4 0
1 1 5
3 4 5
5 3 4
4 4 5
1 4 5
4 0 0
10 8
0 2 4
4 0 2
4 3 3
1 3 0
1 4 3
3 1 0
4 2 0
2 1 3
3 4 1
3 2 2
10 3
1 3 0
1 3 1
2 3 2
3 3 2
3 2 2
1 1 4
0 0 4
1 4 2
0 3 0
1 4 3
10 9
2 5 3
3 2 0
4 2 5
3 5 3
5 4 2
2 4 5
2 4 2
3 3 1
2 3 5
4 2 1
10 8
5 2 3
4 3 0
0 2 4
2 3 4
3 4 1
5 5 0
1 5 2
5 5 2
2 3 0
1 1 2
10 3
0 3 1
4 1 0
3 5 1
4 4 1
5 2 5
1 2 3
1 1 3
2 2 2
0 2 2
0 5 4
10 6
0 0 1
1 2 1
0 2 2
0 0 2
0 1 0
2 0 0
1 2 0
0 3 3
0 3 2
3 2 1
10 9
2 1 1
1 2 2
2 0 2
1 1 1
2 2 0
1 0 2
1 2 0
0 2 2
0 2 0
0 0 2
10 3
1 0 2
1 1 1
2 0 2
3 2 4
3 2 3
2 3 4
0 1 0
3 2 2
4 0 1
0 4 4
10 5
2 0 2
0 2 4
0 1 0
2 4 1
1 3 4
4 2 4
0 4 4
4 3 4
3 1 4
1 4 4
10 5
3 2 0
4 1 0
1 1 2
3 3 4
3 2 1
2 0 2
2 3 4
0 4 4
4 4 4
4 1 2
10 3
4 3 2
0 2 3
0 4 0
0 2 0
0 0 0
3 3 1
0 0 4
0 0 2
4 4 3
1 2 0
10 6
1 4 2
4 1 0
4 4 2
4 2 1
2 4 0
0 1 3
0 0 3
4 2 2
0 2 3
3 2 4
10 5
4 4 3
0 4 3
0 1 1
3 0 1
3 1 0
0 1 2
3 4 4
3 2 3
2 3 3
0 0 4
10 6
3 1 0
2 3 2
1 1 1
1 2 2
2 2 1
3 0 1
0 1 1
1 2 0
1 3 1
3 0 2
10 8
2 2 3
0 1 0
2 1 2
0 0 4
2 3 0
0 3 3
0 1 1
4 2 2
1 4 3
0 0 2
10 4
0 2 4
0 1 1
4 0 4
3 3 2
4 1 0
4 1 1
3 1 1
0 5 3
1 5 3
2 2 0
10 2
4 2 0
3 0 4
2 3 0
3 3 2
4 2 3
2 3 3
3 1 3
1 2 1
3 3 1
0 1 4
10 5
1 1 2
1 0 0
2 0 5
0 4 2
3 4 5
1 3 0
1 2 2
3 3 3
0 3 5
5 4 4
10 9
1 3 3
2 2 0
3 2 4
4 4 2
3 1 2
1 1 2
0 1 1
4 2 3
2 0 1
4 4 0
10 3
3 3 0
1 3 0
2 3 3
0 3 1
3 0 3
3 0 0
0 1 2
0 2 3
3 0 2
0 3 3
10 8
0 0 3
1 4 5
2 4 0
1 3 1
5 3 4
4 0 5
1 4 0
2 0 3
3 4 3
2 3 0
10 3
3 3 3
4 4 1
4 3 1
0 2 1
2 0 2
2 2 4
0 3 1
4 4 2
3 1 3
4 4 4
10 5
1 2 1
2 2 0
1 2 2
1 3 3
2 2 3
2 0 1
0 0 0
0 0 2
0 2 3
0 3 0
10 5
0 2 0
0 0 0
0 2 1
1 1 2
2 2 2
2 1 1
2 1 0
1 2 2
2 2 1
0 0 2
10 4
0 0 0
0 2 1
1 3 1
2 1 3
3 3 0
3 0 0
2 0 1
1 0 1
3 0 3
2 3 3
10 5
2 1 1
2 0 1
0 0 0
1 2 1
2 1 0
2 2 1
2 2 2
1 1 2
2 0 0
2 0 2
10 2
3 2 2
3 3 2
0 2 3
0 1 3
1 1 2
1 1 0
2 1 3
3 0 2
2 0 1
3 3 1
10 4
1 1 1
2 3 3
1 1 0
0 1 2
3 1 3
0 2 2
0 2 3
3 3 2
2 3 0
1 0 3
10 4
3 2 2
2 3 2
2 0 1
2 0 0
0 0 3
0 1 3
3 0 1
1 1 1
0 3 3
3 0 2
10 8
3 2 3
2 3 3
1 3 0
3 3 1
1 2 2
3 3 2
1 1 3
1 3 3
3 0 1
2 1 3
10 2
2 0 3
1 2 0
2 1 0
3 3 3
3 1 2
1 1 2
0 1 1
2 0 1
2 2 1
0 3 2
10 8
1 0 5
2 1 4
2 2 5
0 1 4
5 5 4
3 4 1
2 1 0
4 0 0
1 2 2
4 3 0
10 3
1 1 2
1 2 0
0 1 2
2 2 2
1 1 0
0 1 1
2 1 2
2 1 1
0 0 2
0 0 1
10 5
4 0 0
0 0 4
3 2 1
0 2 3
2 2 2
1 2 1
1 2 3
4 1 1
2 1 0
3 3 0
10 9
4 5 0
1 0 4
5 4 5
2 0 0
1 1 3
2 1 1
2 5 1
0 5 4
4 2 3
1 3 2
10 9
4 2 5
1 5 2
4 4 2
4 4 5
5 4 3
1 3 0
2 1 5
5 5 3
4 1 2
0 3 4
10 7
3 4 2
0 0 2
1 3 4
2 3 4
0 2 0
3 3 3
2 2 3
3 3 0
4 0 4
3 0 0
10 4
2 1 1
1 1 0
1 1 1
1 2 2
0 0 1
2 2 1
1 1 2
0 0 0
2 0 2
2 1 0
10 2
1 4 1
4 1 2
0 1 1
4 1 1
2 1 0
1 0 3
3 2 1
0 1 4
3 2 0
1 1 4
10 6
1 0 1
1 1 2
2 0 2
2 2 0
0 0 2
0 2 0
2 2 1
2 1 2
0 1 2
1 2 2
10 7
5 5 5
0 5 4
4 0 0
5 3 2
3 3 3
1 0 0
5 0 2
2 3 1
0 2 4
5 0 0
10 2
3 4 3
4 0 4
1 4 0
2 1 0
0 4 1
1 2 2
1 2 1
3 3 0
3 0 2
3 3 4
10 7
3 4 4
2 0 0
1 4 2
2 2 4
1 4 0
1 0 1
1 0 4
3 4 2
2 1 3
0 3 2
10 4
3 4 3
2 0 2
4 4 4
2 1 1
2 3 4
0 0 2
3 4 0
1 2 3
2 3 0
3 2 0
10 9
2 2 1
0 3 0
1 1 3
2 3 2
1 2 3
2 1 1
2 3 0
2 3 1
2 0 2
3 0 2
10 8
3 3 4
0 1 2
1 2 1
4 2 3
2 3 2
2 1 4
3 4 0
3 3 3
1 3 1
3 4 1
10 4
1 2 3
0 1 1
2 0 0
0 2 0
1 2 1
2 0 3
2 2 2
1 0 0
0 2 3
0 3 2
10 6
5 5 3
1 5 5
3 2 5
0 5 0
2 1 1
5 4 5
2 0 5
1 5 2
5 3 3
4 1 1
10 9
2 2 5
3 1 0
4 1 3
4 5 5
1 5 5
5 3 1
3 3 1
4 2 2
0 5 3
2 5 1
10 8
3 2 1
0 3 1
2 3 3
2 2 3
3 3 2
3 0 0
3 2 0
0 2 2
3 2 2
3 1 2
10 4
1 0 2
1 1 0
0 2 2
0 1 0
1 2 1
2 1 2
0 2 0
1 2 2
1 1 1
2 1 0
10 4
3 0 0
2 3 3
2 4 1
1 5 5
5 3 0
1 0 1
1 5 3
1 0 3
4 3 4
2 4 5
10 4
1 1 0
3 1 1
3 0 0
1 2 0
0 4 2
2 0 0
3 3 3
2 0 4
2 1 1
4 1 4
10 5
1 0 1
0 0 3
2 3 0
2 3 3
3 2 2
0 0 1
2 2 3
2 0 0
2 1 2
2 2 2
10 5
1 2 2
0 2 2
0 2 1
2 1 0
2 1 1
2 3 0
1 1 1
0 0 1
2 1 3
1 3 3
10 4
3 0 4
0 1 2
0 1 3
4 3 0
1 3 0
5 0 2
3 2 5
2 3 4
3 1 3
5 3 4
10 4
0 1 2
2 0 0
3 2 2
1 3 0
2 3 1
0 0 1
0 2 2
0 1 0
0 3 0
2 0 2
10 6
3 0 0
0 3 3
2 1 0
3 3 0
1 1 3
2 2 0
3 2 1
3 0 2
2 0 3
2 0 1
10 9
0 0 0
2 1 2
1 1 0
1 2 1
1 2 0
1 1 1
1 1 2
2 0 0
0 2 1
1 2 2
10 9
3 2 3
0 1 3
0 2 0
0 2 1
3 3 0
3 0 0
3 1 0
2 1 1
2 1 3
3 2 0
10 3
4 4 1
0 3 5
1 0 0
1 1 3
1 4 2
1 3 4
4 0 4
5 3 1
3 3 2
1 2 5
10 6
1 5 3
1 1 5
3 0 2
1 0 1
5 4 5
5 5 0
0 4 0
3 2 5
1 0 0
3 2 2
10 4
3 1 1
2 4 2
4 1 1
4 3 4
0 3 1
2 1 3
1 4 4
2 2 0
1 2 2
0 1 4
10 7
1 3 2
3 1 2
3 4 0
0 0 0
4 0 3
4 0 0
1 1 3
4 2 3
2 0 2
0 0 3
10 8
5 0 1
3 2 0
2 2 1
5 5 4
3 4 5
3 1 3
4 5 1
5 5 2
4 0 5
3 3 3
10 4
1 3 3
2 1 2
2 3 0
0 3 0
3 2 1
0 3 3
1 2 1
3 3 0
3 1 0
0 0 0
10 9
2 2 1
1 2 3
2 3 2
1 1 1
2 0 0
3 0 1
0 2 2
3 1 2
2 3 0
3 3 0
10 4
0 2 4
3 2 4
0 3 3
3 4 1
4 2 2
2 3 4
0 1 4
1 4 1
2 3 2
3 3 3
10 6
4 0 0
3 4 0
4 0 2
2 5 3
3 3 3
1 2 5
2 5 2
1 0 0
0 1 1
5 2 4
10 2
3 0 1
2 2 1
3 3 0
2 2 0
1 3 3
0 3 1
2 3 3
1 1 2
2 0 3
0 2 1
10 9
0 1 2
0 2 0
4 3 3
1 0 4
4 3 1
2 0 2
4 4 3
4 0 3
3 2 4
3 0 1
10 4
3 3 3
4 2 4
4 3 1
4 4 1
2 0 1
0 4 0
3 1 3
1 3 3
0 1 4
1 2 0
10 5
3 0 2
1 4 3
4 2 3
5 5 1
5 4 0
3 1 4
4 4 1
2 0 2
0 5 2
5 0 0
10 2
0 1 4
3 2 0
3 4 3
0 4 1
4 0 4
1 0 2
4 2 4
0 3 3
3 4 2
0 0 0
10 9
2 2 0
0 0 3
1 2 2
0 0 2
0 3 0
0 0 0
1 0 1
2 3 2
0 3 3
3 0 2
10 3
2 0 4
1 4 3
3 0 3
2 2 3
1 1 1
3 4 2
4 2 0
1 0 2
3 0 4
4 0 4
10 5
0 2 1
0 2 2
2 1 2
2 0 1
0 1 2
2 2 2
1 1 0
1 0 1
1 1 2
2 1 0
10 3
0 2 2
2 0 1
0 0 2
1 1 2
1 1 1
1 2 2
1 2 1
2 1 0
1 0 1
1 0 2
10 3
5 2 0
4 2 0
0 4 3
2 0 0
5 1 0
0 1 2
1 3 0
5 3 2
0 2 2
3 4 3
10 6
1 3 0
1 2 3
0 0 3
2 2 0
0 2 3
2 2 3
0 1 0
1 1 2
3 3 1
2 0 2
10 5
3 2 3
3 3 1
2 3 0
1 1 0
0 0 1
0 3 0
2 2 2
1 0 2
2 2 1
1 0 0
10 3
1 1 3
4 2 0
3 1 3
1 1 1
3 4 3
4 4 1
0 2 3
2 0 0
4 0 2
3 1 2
10 6
0 0 3
0 3 0
2 2 0
3 0 0
1 1 1
2 2 3
3 3 2
1 3 2
0 1 1
2 0 0
10 2
2 0 0
1 1 0
0 0 0
2 1 1
0 0 2
1 2 1
0 2 2
1 2 2
2 0 1
2 2 2
10 6
2 5 0
3 2 4
1 3 2
2 1 0
0 1 0
1 4 4
1 5 2
2 4 3
2 3 3
1 0 4
10 7
0 0 1
2 3 2
3 2 0
1 2 1
2 0 2
3 0 1
1 0 1
3 2 3
1 0 2
2 1 0
10 6
0 2 0
0 2 1
1 2 0
2 1 0
0 0 2
1 2 2
1 1 2
2 1 2
2 1 1
0 2 2
10 4
2 2 1
1 0 2
2 0 0
1 3 1
0 2 2
2 1 3
1 0 1
2 0 1
3 3 1
3 3 0
10 2
0 1 1
0 0 2
2 1 0
1 2 1
2 0 2
1 2 0
0 1 2
1 0 0
2 1 1
1 0 2
10 4
0 0 2
0 0 3
2 1 0
2 2 2
0 2 2
1 2 1
0 3 3
3 3 0
3 0 2
0 1 2
10 4
0 1 1
2 0 2
3 1 2
0 0 2
2 0 3
3 2 2
3 3 3
1 3 2
0 3 0
3 0 3
10 9
1 1 2
1 2 0
0 0 1
0 2 1
0 0 2
0 0 0
0 1 2
1 0 2
1 2 2
2 2 0
10 5
2 3 3
0 3 0
2 1 0
2 1 3
3 0 0
3 0 2
1 2 3
2 2 3
0 0 1
3 2 2
10 6
2 0 1
2 1 1
2 0 2
0 1 1
0 3 2
2 2 1
0 0 3
3 3 0
1 0 1
0 2 0
10 6
0 1 0
0 2 2
2 0 2
1 1 1
1 2 2
1 1 2
0 0 0
2 0 1
2 0 0
2 1 2
10 8
3 0 1
1 2 3
2 0 0
0 3 1
1 3 0
3 1 3
3 0 2
0 0 2
0 2 1
3 2 1
10 4
0 0 2
2 1 1
0 0 0
1 1 2
1 2 2
2 2 2
2 1 2
0 2 0
1 2 1
1 0 0
10 6
0 0 0
1 0 2
2 0 1
2 0 2
1 2 1
0 2 2
0 1 0
0 0 2
1 2 2
2 1 2
10 7
0 1 1
0 2 0
1 1 0
2 1 1
1 0 2
1 2 2
2 2 2
2 2 0
1 1 1
0 0 0
10 5
3 5 2
3 4 5
2 3 4
1 3 1
3 1 2
5 4 0
3 1 4
0 2 3
2 4 0
4 5 5
10 6
0 2 0
0 1 2
1 2 1
2 1 2
3 3 0
1 2 3
0 3 0
1 3 3
3 1 1
3 0 1
10 6
3 3 1
3 2 3
1 1 1
0 0 2
1 2 3
1 3 3
2 3 0
3 0 0
3 1 1
1 1 3
10 9
2 2 4
2 5 5
5 2 5
1 0 3
2 0 1
4 4 1
2 5 4
4 2 0
5 0 1
1 5 0
10 3
1 2 1
1 0 2
2 2 2
2 1 1
0 1 1
2 0 1
0 0 0
1 1 1
0 2 1
0 2 0
10 4
3 1 0
2 0 1
0 1 3
2 3 1
3 2 1
1 1 1
1 3 0
3 3 0
1 2 3
3 0 3
10 3
1 1 0
4 4 2
2 1 3
0 1 2
0 3 0
2 3 0
2 2 3
4 2 0
0 1 1
3 0 0
10 3
2 0 0
1 4 2
3 1 3
2 3 1
3 3 4
0 1 2
3 1 4
2 2 3
0 0 3
1 1 3
10 2
2 0 1
0 1 0
2 0 0
2 2 0
0 2 2
1 1 2
2 2 1
0 2 1
1 0 1
2 1 1
10 6
4 3 0
4 0 0
1 2 0
1 3 2
4 2 4
4 0 4
0 4 0
0 0 3
2 1 0
4 1 4
10 3
1 0 0
2 2 0
2 0 1
2 1 2
1 1 1
1 0 1
2 2 1
0 2 0
1 2 2
0 0 2
10 8
0 2 1
0 2 2
0 1 0
0 1 2
2 2 1
0 0 2
1 1 2
2 1 1
2 0 1
1 1 0
10 4
0 1 5
2 1 5
5 5 1
2 2 5
4 5 0
0 3 4
1 3 0
3 5 2
2 5 4
3 2 4
10 7
2 5 0
1 1 5
0 1 2
5 2 3
4 0 1
2 3 4
4 3 3
4 5 3
2 0 3
1 2 3
10 5
3 1 3
0 2 2
2 2 0
2 2 3
3 1 2
3 2 2
2 2 2
0 3 1
0 1 2
0 2 0
10 6
2 0 4
2 4 0
2 0 3
3 1 3
1 4 4
1 0 1
4 2 2
4 1 4
1 2 0
0 3 3
10 5
2 1 0
1 3 2
0 2 3
1 3 3
2 0 0
0 0 1
3 1 2
3 0 0
3 2 3
2 1 1
10 5
2 5 4
0 3 5
3 5 1
2 0 0
2 0 1
4 1 3
0 2 2
5 2 2
1 1 2
5 4 5
10 2
0 2 1
4 3 0
0 3 4
1 1 3
1 0 4
0 3 1
1 4 0
2 3 1
4 3 1
3 0 4
10 6
2 2 0
2 1 2
1 3 0
0 2 1
1 0 2
1 0 1
1 2 1
2 3 2
3 1 2
0 1 1
10 8
2 1 0
2 0 0
0 2 0
0 2 2
1 2 2
1 0 0
1 0 2
0 2 1
2 1 1
2 0 1
10 9
2 1 2
2 2 1
2 0 2
1 0 0
2 2 2
2 2 0
2 0 1
1 0 2
1 1 1
2 1 1
10 4
2 1 1
0 1 0
2 0 2
1 2 2
0 1 2
1 1 2
2 1 2
0 0 2
0 0 1
2 0 1
10 2
0 1 0
2 2 2
1 1 2
0 0 1
1 0 1
1 2 2
0 1 1
1 0 0
0 1 2
1 2 0
10 8
3 4 4
3 0 0
2 0 1
3 3 3
2 1 1
3 5 1
2 3 5
2 2 4
0 5 4
5 5 5
10 6
4 4 1
0 2 2
1 1 0
0 3 0
2 3 0
0 0 4
3 2 3
0 2 1
3 1 1
4 2 2
10 9
1 1 1
3 1 1
1 0 0
0 0 2
0 2 2
0 2 0
0 1 3
1 1 2
3 2 3
2 2 0
10 5
1 2 2
1 1 2
3 1 3
0 1 3
0 3 1
3 2 2
0 1 2
2 1 3
2 1 2
2 3 3
10 8
4 1 4
1 2 3
2 0 0
5 1 2
3 5 5
5 4 2
1 1 2
2 1 2
2 4 4
0 1 3
10 6
3 0 0
0 2 1
4 4 2
4 3 0
4 2 0
2 3 1
2 2 4
4 2 3
2 3 0
0 3 4
10 5
0 0 2
3 1 4
0 3 3
4 2 4
1 2 0
2 4 0
4 0 4
3 0 3
2 0 2
0 2 3
10 2
3 0 3
0 3 2
2 2 2
2 1 3
3 1 0
1 2 3
0 0 1
0 2 2
3 2 1
1 2 1
10 8
2 2 0
3 0 2
3 1 2
0 2 3
2 0 2
1 3 3
3 3 3
3 1 0
1 2 3
0 3 0
10 7
3 3 4
1 3 4
1 2 4
4 4 0
4 1 2
3 3 1
2 1 1
2 0 1
1 2 0
3 4 2
10 2
0 1 2
4 4 2
4 1 2
1 5 1
4 1 5
1 1 1
1 5 5
2 2 1
1 3 2
4 3 2
10 9
0 0 2
1 1 2
0 1 0
1 2 1
2 2 3
1 3 0
3 0 3
1 0 2
1 0 1
1 0 3
10 9
2 1 2
0 0 1
2 0 1
0 1 2
2 0 0
1 0 1
1 1 1
2 0 2
2 1 0
2 2 0
10 3
0 2 2
2 2 1
2 0 3
2 2 0
2 0 2
1 2 0
0 0 1
0 3 0
2 1 2
1 3 2
10 6
0 2 2
5 3 3
2 0 2
1 2 0
2 1 4
3 4 0
5 2 2
0 4 0
5 4 4
0 1 3
10 8
0 0 0
3 0 3
4 3 1
4 3 2
3 0 0
1 4 3
4 1 2
1 2 4
3 1 3
4 0 1
10 2
2 2 0
2 0 0
0 0 1
2 1 0
2 1 2
2 1 1
0 0 2
1 2 2
1 2 0
1 0 0
10 6
4 0 1
0 4 3
4 2 2
3 1 4
3 3 0
2 2 1
0 0 1
3 2 2
4 1 1
2 0 1
10 2
2 3 2
3 1 1
3 0 0
3 2 2
3 3 0
2 1 0
3 1 2
0 1 0
2 3 0
1 0 3
10 3
2 3 1
4 3 5
1 5 1
2 3 2
4 5 0
3 5 3
4 3 0
0 0 3
4 2 3
1 4 5
10 5
0 0 2
3 3 2
4 3 1
3 0 0
1 1 0
4 3 4
4 4 2
1 3 3
3 4 3
4 2 2
10 7
2 1 1
4 4 3
1 2 1
5 0 0
3 4 1
4 0 1
1 4 5
0 4 2
4 3 5
4 0 2
10 9
3 0 2
3 3 1
0 1 1
3 2 1
2 2 0
0 3 1
0 2 0
2 0 3
0 1 0
1 0 2
10 3
0 0 1
0 1 0
0 0 0
0 2 0
0 1 2
1 1 0
1 0 0
1 2 2
2 1 1
2 1 0
10 2
2 2 3
5 4 4
1 4 4
1 1 3
1 2 1
1 2 2
0 2 5
5 3 4
0 2 0
1 3 3
10 7
3 1 2
3 3 3
4 1 0
4 3 2
3 1 3
1 3 4
0 0 1
3 3 1
0 4 0
4 4 3
10 4
0 2 1
2 1 0
1 2 1
0 2 2
1 1 1
2 0 0
0 1 1
0 0 1
0 0 2
1 1 2
10 9
1 0 0
0 1 1
1 0 2
1 2 0
1 1 2
2 2 1
2 2 2
0 2 2
0 1 2
0 0 0
10 9
2 0 0
2 1 0
3 2 0
1 2 2
2 2 0
0 0 1
0 3 3
1 1 1
3 3 1
0 3 0
10 7
3 0 2
4 1 0
0 2 1
1 4 1
0 2 4
0 0 3
3 0 3
0 4 4
0 1 4
4 1 4
10 8
4 2 2
4 4 5
2 4 1
5 5 0
5 3 4
2 2 0
0 4 2
0 2 1
1 5 0
2 5 2
10 8
0 0 2
1 2 2
0 1 2
0 0 1
1 0 0
2 2 0
2 2 2
2 2 1
0 2 1
0 2 0
10 6
0 1 2
0 2 0
2 2 2
1 1 2
0 1 0
2 1 1
0 2 1
0 0 0
1 0 1
1 2 2
10 7
0 2 3
2 1 0
3 2 3
0 2 4
3 3 0
2 3 3
3 3 3
4 3 0
3 4 3
0 0 1
10 3
3 0 3
0 5 2
4 3 2
3 0 1
3 4 4
2 0 0
2 3 5
3 2 0
5 5 5
0 2 1
10 6
2 2 0
2 0 0
0 0 0
3 0 3
1 0 1
0 0 1
3 0 2
0 3 0
3 1 0
3 1 3
10 7
3 2 2
3 2 3
3 4 0
0 0 1
2 1 4
0 3 0
2 1 5
5 4 3
1 2 4
0 3 3
10 7
2 2 2
0 0 3
3 1 2
0 3 3
4 2 3
1 2 3
3 4 2
2 1 0
0 3 2
4 4 4
10 6
2 2 2
4 3 4
0 2 1
4 4 1
4 4 4
1 2 1
4 0 4
2 4 0
0 4 1
4 2 1
10 7
0 2 3
2 2 0
0 0 3
0 1 3
2 1 0
1 2 1
1 1 0
0 0 1
3 0 2
3 2 3
10 6
0 5 0
5 0 5
5 2 3
0 0 5
1 2 3
3 2 5
0 2 0
3 1 1
4 3 3
0 3 0
10 9
3 0 0
1 2 1
2 2 1
3 2 2
0 3 1
1 1 0
2 0 2
0 1 1
0 2 3
1 2 0
10 7
0 4 3
1 0 0
1 1 3
4 0 3
1 3 2
0 4 2
0 2 3
0 2 2
2 4 2
1 3 4
10 8
3 4 4
3 5 5
3 5 1
5 3 1
2 2 0
5 4 0
2 2 2
0 3 0
4 5 4
3 0 3
10 6
2 4 4
1 1 2
0 4 3
0 0 5
1 1 1
5 3 5
1 5 0
4 0 3
3 2 2
1 3 3
10 8
1 1 1
4 2 3
0 1 2
4 2 0
2 1 1
1 4 1
1 3 4
3 4 4
1 2 4
1 4 4
10 6
4 2 2
4 0 0
2 3 0
0 1 1
3 3 0
3 3 4
3 4 3
4 0 2
1 2 0
3 1 0
10 6
2 0 1
2 2 0
2 1 2
2 2 4
4 2 1
4 2 4
1 0 3
4 2 0
1 0 1
4 2 3
10 8
0 1 3
4 4 0
4 3 3
0 4 1
2 4 5
2 1 0
0 2 3
3 5 4
4 3 0
5 2 3
10 6
0 1 1
1 2 0
2 0 1
3 1 1
1 1 3
0 1 3
3 3 3
1 3 1
2 1 2
2 2 0
10 2
2 2 0
1 0 0
2 1 2
2 1 0
1 1 2
1 1 1
0 1 1
0 0 1
0 2 0
2 0 2
10 8
0 5 5
3 3 5
1 2 1
4 0 1
1 5 1
4 1 0
5 5 3
0 2 0
2 1 1
5 1 1
10 3
4 3 1
2 0 1
0 4 3
4 3 2
4 1 4
3 2 1
2 0 2
2 4 0
2 0 4
1 2 1
10 7
0 1 0
0 0 1
2 1 1
0 2 1
1 1 2
2 1 2
1 0 1
2 0 1
0 2 0
1 0 0
10 2
3 2 0
4 1 0
1 0 3
4 2 4
1 1 4
0 0 4
1 1 2
3 2 4
4 0 0
2 4 1
10 9
1 2 3
3 1 3
3 3 3
2 0 0
2 2 3
1 3 1
0 3 3
1 1 0
3 3 0
1 1 3
10 2
1 2 2
0 2 1
2 0 2
0 0 2
0 1 0
0 2 0
0 1 1
0 1 2
2 0 0
2 1 1
10 6
3 1 3
0 0 2
1 2 1
1 1 1
0 3 1
2 1 3
3 2 2
0 3 0
3 1 0
3 2 1
10 3
1 2 0
2 1 2
0 0 2
0 1 1
0 0 0
0 2 0
1 1 1
0 0 1
2 0 2
2 0 1
10 9
0 2 3
1 0 0
3 2 1
3 0 3
0 0 2
1 1 0
2 3 0
2 2 1
2 2 2
1 2 1
10 7
2 3 1
4 2 1
2 4 1
3 2 4
5 3 1
3 1 2
1 5 5
2 1 2
1 3 1
5 4 5
10 3
1 0 0
1 0 2
0 2 1
2 2 0
2 1 0
0 2 2
1 2 2
0 1 2
1 1 1
0 1 0
10 9
4 4 1
4 0 3
2 4 1
2 2 2
3 4 2
4 1 3
4 4 0
2 1 4
3 3 1
3 2 3
10 6
4 1 0
1 4 1
4 4 4
0 0 1
4 4 1
3 4 4
2 0 2
4 1 2
3 1 0
0 1 4
10 7
2 2 3
1 1 1
2 4 4
2 3 5
4 1 2
0 4 3
3 1 4
1 2 1
5 5 4
2 0 4
10 2
0 1 2
1 2 1
2 2 2
1 2 2
2 1 0
0 1 1
1 2 0
0 0 1
2 0 1
2 1 2
10 9
1 2 1
1 0 1
0 1 1
1 1 2
1 1 1
0 0 0
2 2 1
0 2 2
1 2 0
1 0 2
10 7
0 0 2
1 0 1
1 1 0
2 0 0
1 0 0
2 0 1
2 1 2
0 0 1
0 2 2
1 2 0
10 2
3 0 0
0 0 3
0 0 2
0 2 3
1 2 3
2 3 0
3 2 3
2 0 0
3 1 2
2 3 2
10 3
1 0 0
0 0 2
1 2 1
1 1 1
2 2 1
2 0 1
2 1 1
0 2 1
1 0 2
2 0 2
10 5
5 5 0
0 3 2
2 1 3
2 4 5
4 0 5
0 5 2
5 1 0
4 4 2
0 1 3
1 0 1
10 2
0 0 1
2 2 1
1 1 0
0 2 2
2 3 2
0 3 0
1 1 3
3 1 2
0 0 2
3 0 2
10 9
4 0 3
3 0 0
2 0 0
0 2 3
3 3 0
4 4 1
0 2 0
4 3 4
4 4 4
4 0 4
10 5
1 2 2
2 2 0
2 2 1
1 0 1
2 0 2
0 1 0
0 2 0
1 2 0
2 2 2
0 0 0
10 2
1 5 2
0 0 0
4 5 4
0 2 3
5 2 1
0 4 3
1 2 4
2 3 1
0 3 5
0 0 1
10 4
1 0 0
3 3 3
1 0 3
2 0 0
3 1 0
2 4 3
3 2 2
4 4 4
0 1 0
4 3 0
10 4
2 1 0
2 2 0
2 2 1
1 0 0
0 2 2
2 0 1
2 1 2
0 1 2
0 2 1
2 1 1
10 2
3 0 1
5 2 4
1 0 2
5 3 4
5 0 0
3 1 3
4 4 4
5 3 2
5 2 5
4 0 0
10 8
1 1 2
0 0 1
3 0 3
0 2 3
0 0 0
0 1 3
3 1 3
2 0 3
0 0 2
3 2 1
10 7
0 4 0
3 2 2
5 2 4
1 0 1
3 5 0
5 0 2
5 5 1
3 1 2
5 2 1
4 4 5
10 5
5 4 3
3 4 2
2 3 0
1 5 1
2 3 5
0 2 2
2 1 0
1 4 3
5 0 4
3 3 2
10 8
4 3 1
4 3 2
0 2 4
2 0 1
0 1 1
2 1 4
1 1 2
4 4 2
3 0 3
1 4 3
10 4
2 4 0
2 0 1
3 2 3
3 3 4
0 2 4
3 4 1
1 4 4
4 0 3
2 0 4
4 4 1
10 7
3 0 2
0 2 0
1 0 3
0 0 1
3 2 3
2 1 2
2 0 1
0 2 3
2 0 0
1 3 0
10 8
0 4 4
3 4 0
1 4 0
0 1 1
5 4 1
3 5 4
2 0 0
5 1 2
0 4 5
5 4 2
10 9
2 5 2
5 0 0
5 0 2
4 1 4
0 2 2
4 1 0
4 0 0
3 3 3
1 2 4
5 1 2
10 6
3 2 2
1 3 2
0 1 1
3 3 2
2 3 1
3 3 0
0 0 2
3 0 2
3 0 1
1 1 2
10 8
2 0 1
3 1 2
3 0 0
0 2 1
0 2 0
3 3 0
2 2 1
0 3 1
0 3 0
0 0 1
10 3
1 2 0
2 0 1
2 2 2
0 1 2
1 0 2
0 0 2
1 2 1
2 1 0
2 1 1
1 0 1
10 6
2 0 3
3 4 2
3 0 1
4 1 2
3 0 0
4 0 0
3 3 1
0 4 1
2 0 0
1 0 1
10 2
3 1 1
3 4 4
1 4 4
1 2 1
2 4 4
3 4 1
0 1 0
1 3 3
0 4 0
1 2 0
10 6
5 3 1
4 4 5
0 1 0
3 2 0
1 3 2
1 0 1
2 2 2
1 1 1
0 0 0
1 0 2
10 6
5 3 4
4 2 1
1 0 0
0 4 1
2 3 5
4 3 4
5 1 5
5 5 2
2 5 4
5 3 5
10 3
1 1 4
2 2 1
2 0 4
0 3 0
4 2 0
1 4 2
3 3 2
1 3 0
1 2 3
3 0 4
10 3
0 0 4
0 5 2
4 0 2
1 0 0
4 4 4
1 2 5
4 5 0
0 0 5
4 2 2
4 3 1
10 2
0 2 2
2 2 1
2 2 0
1 0 1
2 0 0
0 0 1
1 2 1
2 1 1
0 1 1
2 0 1
10 3
3 0 2
1 2 3
4 3 2
1 2 4
4 4 1
3 2 4
2 2 4
2 4 4
2 4 0
2 2 3
10 8
2 0 2
0 0 0
0 2 0
1 1 1
0 0 2
2 0 1
1 0 1
2 1 2
1 2 2
2 1 1
10 9
2 2 2
2 2 3
0 0 1
1 1 2
2 0 1
0 0 2
3 3 3
2 2 0
3 1 3
0 1 0
10 9
4 4 0
4 4 5
0 3 1
3 0 3
1 0 5
2 4 3
0 5 0
3 3 2
2 1 4
0 0 1
10 4
4 0 1
4 1 5
1 1 5
2 0 0
5 1 5
4 1 4
2 1 1
1 5 5
0 0 5
2 1 4
10 9
1 0 0
1 2 2
2 0 0
1 3 0
4 0 1
0 4 2
4 1 0
3 2 1
1 4 3
4 3 0
10 8
4 0 1
3 1 3
3 2 1
1 4 1
3 4 0
3 1 1
1 4 2
2 3 1
2 4 0
2 2 2
10 2
3 3 0
3 2 2
1 0 3
3 0 2
1 3 2
3 0 3
2 3 1
1 2 1
0 1 2
0 2 2
10 8
3 0 0
0 1 2
1 1 1
1 2 2
3 0 1
2 3 3
1 0 3
2 0 3
0 2 2
1 3 0
10 5
1 0 1
2 0 0
0 1 2
2 0 2
2 1 1
0 2 2
0 1 1
1 1 0
0 0 0
1 2 1
10 7
2 3 3
1 3 3
1 1 0
0 3 2
2 0 1
0 0 0
3 2 2
3 1 1
0 2 0
1 1 1
10 5
3 4 5
3 2 2
3 2 3
2 3 0
5 4 0
1 1 1
3 0 5
2 0 1
1 5 3
4 2 5
10 6
2 1 0
3 4 2
3 0 1
3 3 0
2 3 2
3 4 0
1 0 1
4 3 1
3 0 0
4 1 2
10 7
5 4 0
0 2 0
2 1 4
0 4 5
3 5 5
2 1 3
2 0 1
4 0 0
5 0 2
2 1 2
10 8
0 1 0
0 0 1
1 0 1
0 1 2
2 1 2
2 1 1
2 0 0
1 2 1
2 2 1
0 2 0
10 7
5 3 0
0 2 5
5 5 0
4 4 3
1 1 0
2 0 0
5 5 4
3 3 5
4 1 0
0 0 0
10 6
0 0 1
0 2 1
2 1 2
2 1 1
1 1 2
1 1 1
2 0 2
1 0 2
0 1 2
2 0 0
10 9
0 0 0
2 1 0
0 1 0
0 2 2
1 1 2
2 0 1
0 2 1
2 2 0
2 1 1
1 1 0
10 3
3 2 2
2 0 3
1 0 0
0 0 3
3 0 0
1 3 1
2 3 3
0 0 0
0 2 3
0 0 2
10 2
1 3 2
2 0 3
2 1 1
0 0 2
0 0 3
3 1 0
3 3 1
0 1 0
3 0 0
2 2 3
10 3
4 0 2
5 2 1
5 4 2
1 4 0
3 5 1
1 0 0
2 0 4
0 3 4
2 2 2
5 1 2
10 5
1 4 3
2 1 4
4 0 4
4 2 0
3 3 4
1 0 1
3 0 2
4 1 4
2 3 4
1 2 4
10 7
4 4 5
0 3 2
5 3 1
5 0 5
1 2 5
2 1 3
4 0 1
1 3 0
2 5 1
2 0 4
10 8
2 2 0
0 2 1
0 2 0
2 0 2
0 1 0
1 0 1
2 1 2
2 1 1
1 1 2
0 1 1
10 2
0 0 2
2 2 1
2 2 2
1 0 2
1 1 0
1 2 2
2 0 2
2 0 1
1 0 1
0 1 2
10 3
0 1 1
2 2 0
0 2 0
1 2 1
2 1 2
2 2 2
0 1 2
2 2 1
2 1 0
1 0 2
10 4
3 1 2
1 3 3
2 1 0
0 2 3
2 3 1
2 1 2
1 1 1
2 2 1
1 2 3
3 3 3
10 9
0 1 2
2 2 0
2 1 0
0 1 0
0 2 2
1 0 1
1 1 0
1 0 2
1 1 2
2 2 1
10 5
3 0 3
3 0 0
2 3 2
1 2 3
0 0 1
0 1 2
3 1 2
2 2 2
1 3 1
0 1 0
10 5
0 3 4
0 3 5
5 2 5
5 0 3
3 1 4
2 4 5
5 4 1
3 3 1
0 5 2
1 1 0
10 5
2 0 0
0 2 0
0 1 1
0 1 0
1 0 0
0 0 2
2 2 2
1 2 0
2 2 1
0 2 1
10 9
2 0 1
0 0 0
0 0 2
1 0 0
2 2 1
1 0 2
0 1 2
1 0 1
2 0 2
0 0 1
10 5
4 3 3
0 5 1
1 4 3
1 5 0
3 0 4
1 4 0
2 2 4
4 0 5
3 1 3
0 3 5
10 2
1 1 2
2 1 1
0 2 2
0 0 2
1 1 1
2 0 0
1 0 1
2 0 1
0 0 1
0 0 0
10 8
3 3 4
4 4 1
3 2 3
0 0 3
0 2 3
4 4 3
3 3 0
1 1 1
1 1 2
1 3 3
10 6
2 2 2
0 0 0
1 2 2
2 1 0
3 0 1
2 0 1
0 2 2
1 3 3
2 2 0
2 0 2
10 6
0 2 3
2 1 0
2 1 3
3 0 0
1 2 0
2 3 3
1 0 1
2 1 2
3 2 2
0 1 2
10 6
0 2 2
2 0 1
2 0 0
1 1 1
0 0 1
1 2 0
2 1 1
2 0 2
1 1 2
2 2 1
10 2
0 1 1
3 1 0
3 1 3
0 3 2
0 0 3
0 1 3
3 3 0
0 0 2
3 3 1
3 2 0
10 9
1 2 2
2 2 1
1 0 1
2 0 1
1 2 0
0 0 0
1 1 1
0 0 1
0 0 2
2 1 1
10 6
4 4 4
5 4 3
4 2 3
0 0 3
3 2 1
1 0 4
3 2 3
0 5 3
4 1 5
4 3 4
10 7
2 2 0
0 1 0
1 0 1
2 0 2
1 1 1
0 0 2
2 2 1
0 2 1
0 0 1
2 0 1
10 3
1 1 0
3 1 2
3 3 3
4 4 3
1 2 0
0 4 0
4 1 1
2 1 4
4 3 3
0 3 1
10 6
1 5 4
3 2 0
3 5 4
2 2 4
0 3 5
3 0 3
1 3 4
5 3 1
3 4 1
3 1 3
10 7
1 2 1
1 2 0
2 1 0
2 2 1
0 0 1
1 0 0
1 0 2
0 1 2
1 2 2
2 0 0
10 9
1 0 3
2 5 4
1 4 2
5 1 2
0 0 4
3 4 2
4 2 4
1 3 4
3 5 2
0 5 0
10 9
2 2 1
0 0 1
0 2 1
0 2 2
1 0 2
1 0 0
0 0 2
1 2 2
2 1 2
2 0 2
10 2
2 3 2
0 1 2
3 3 1
2 3 3
3 0 3
1 0 2
2 1 0
1 1 0
2 0 0
3 2 0
10 8
2 0 1
1 0 1
0 2 2
1 0 2
1 2 1
0 1 2
2 2 0
2 1 2
2 0 0
0 2 0
10 4
0 3 1
1 2 0
1 2 1
3 1 0
0 3 3
2 3 1
0 3 2
0 0 0
0 0 2
0 3 0
10 9
2 1 3
2 3 1
2 2 1
0 1 3
0 0 0
3 3 3
2 0 1
1 0 2
3 2 3
3 0 2
10 9
0 0 0
1 2 2
1 0 1
1 1 0
0 1 1
1 2 0
0 2 0
1 2 1
2 1 1
2 0 2
10 4
4 5 3
2 2 2
2 4 0
0 5 2
0 5 1
0 4 3
1 3 4
4 2 3
2 4 3
3 3 4
10 7
0 1 1
1 0 1
2 0 0
0 2 0
1 0 0
0 2 1
0 1 2
0 2 2
1 2 0
1 1 1
10 9
3 3 0
3 1 2
3 3 4
4 4 3
1 3 1
4 1 4
2 4 1
2 4 0
1 0 3
3 1 4
10 6
1 1 1
3 2 2
0 1 1
2 2 3
3 3 2
2 3 2
1 2 0
2 2 1
0 2 0
1 1 2
10 8
1 1 0
4 2 2
2 0 1
3 2 0
3 4 1
3 0 3
0 0 3
1 1 4
1 4 1
2 3 0
10 3
0 5 0
1 0 5
3 0 4
2 1 3
3 2 3
1 4 2
0 4 4
4 2 0
1 5 4
5 0 3
10 7
4 2 4
0 1 5
4 0 2
5 2 4
3 1 0
0 4 0
5 1 0
1 0 5
2 3 5
2 4 1
10 9
5 4 4
1 1 5
4 2 4
1 1 1
5 5 0
3 4 5
1 3 3
4 3 2
1 3 5
2 5 5
10 5
3 1 1
1 0 2
3 3 2
1 2 1
3 2 3
0 0 1
0 2 3
1 1 1
0 1 3
0 3 2
10 7
4 0 5
1 2 0
5 5 1
4 5 3
0 1 5
3 1 4
2 3 2
3 4 5
0 3 3
1 1 4
10 3
2 1 3
3 1 1
3 0 0
3 1 3
2 1 0
0 3 3
0 2 1
1 2 3
0 1 3
2 0 0
10 2
0 2 1
3 1 1
3 3 0
1 1 1
0 3 3
1 3 1
3 3 1
0 2 3
1 1 3
3 0 0
10 7
1 0 2
1 1 1
2 0 1
1 1 2
1 2 0
2 0 2
2 1 2
0 1 1
2 0 0
0 0 1
10 9
2 0 0
1 3 0
2 3 1
2 2 0
1 1 3
0 3 2
3 0 3
1 0 1
0 1 1
0 0 1
10 2
1 3 0
1 1 1
0 3 2
1 0 1
0 3 1
2 3 2
1 0 0
3 0 0
3 3 0
2 1 3
10 5
1 0 2
2 1 0
1 0 3
2 3 0
0 2 1
2 1 1
0 2 3
3 1 0
2 3 1
0 3 1
10 6
2 2 1
2 2 2
1 1 1
0 1 1
1 2 1
0 1 0
0 2 2
2 1 1
0 0 0
0 2 0
10 3
1 2 3
4 2 0
4 4 0
1 2 4
2 3 0
3 4 3
0 3 3
4 0 3
4 1 0
0 2 1
10 2
2 2 0
3 0 2
1 0 1
0 2 1
0 3 2
2 2 2
2 1 2
0 2 0
1 0 2
3 3 2
10 4
2 1 2
1 2 1
1 1 2
2 1 1
0 0 0
2 0 0
2 2 2
0 2 2
2 0 1
0 1 0
10 7
1 2 0
1 0 1
1 1 1
2 0 1
2 2 2
1 2 1
1 0 0
1 2 2
2 1 0
1 1 0
10 3
0 0 0
0 1 2
1 2 2
1 1 2
1 1 0
2 2 1
1 1 1
0 1 1
2 1 0
0 0 2
10 8
3 0 2
4 0 1
4 1 1
4 4 1
1 2 2
0 3 0
0 4 0
4 4 2
1 2 3
0 2 3
10 7
2 0 1
1 3 0
2 2 5
0 4 5
2 3 3
1 5 4
0 5 1
2 5 0
5 2 5
5 4 4
10 4
0 1 1
4 3 1
1 5 5
5 2 2
1 2 0
2 1 2
4 1 2
2 2 1
2 4 1
2 0 0
10 2
1 1 2
2 0 1
1 3 2
0 0 0
3 2 0
0 3 2
3 2 3
0 2 3
2 0 3
2 3 1
10 3
1 3 3
3 4 3
1 4 0
3 4 0
2 4 2
4 2 0
2 3 4
2 3 3
0 1 4
0 1 0
10 8
1 2 3
2 1 2
0 0 0
1 1 1
2 2 2
2 2 1
2 3 3
2 0 0
1 1 2
1 3 2
10 9
1 1 1
3 0 2
0 1 0
2 1 1
1 0 0
3 0 1
1 3 2
0 0 0
2 2 1
3 2 3
10 5
1 1 2
0 3 2
4 3 2
0 0 4
0 3 0
3 0 3
3 1 3
4 3 4
4 4 0
1 1 4
10 6
0 1 2
2 0 1
0 2 2
0 0 1
2 2 0
1 0 0
1 1 2
0 1 0
0 1 1
1 2 1
10 4
2 2 1
2 2 2
0 1 0
1 1 1
1 0 0
1 0 2
2 1 0
2 0 2
0 2 2
0 2 0
10 5
3 4 4
3 2 1
4 0 3
3 4 0
1 0 4
4 0 0
1 4 3
4 4 0
0 4 4
3 1 1
10 9
1 2 2
0 2 1
2 0 2
0 0 0
2 0 0
1 1 2
2 1 1
2 2 2
0 1 0
0 0 1
10 5
2 4 5
2 4 1
3 3 2
2 3 3
3 3 3
5 0 5
1 1 5
2 2 4
4 0 4
4 2 4
10 5
1 1 0
0 1 1
4 4 3
4 0 4
3 1 0
3 0 0
4 1 1
4 1 2
4 1 4
1 3 3
10 5
0 0 2
0 4 4
1 4 1
1 0 1
3 0 3
1 4 2
3 0 1
3 3 2
1 3 0
0 4 0
10 9
1 2 1
1 1 2
1 0 2
2 1 0
1 1 0
0 1 1
0 0 2
2 0 2
0 2 2
2 1 1
10 7
1 1 2
1 1 0
2 2 1
0 1 2
2 2 0
0 0 0
1 2 0
1 2 1
0 0 2
0 0 1
10 7
1 2 5
1 0 4
4 0 5
1 2 0
0 1 4
4 5 1
4 2 3
2 1 0
3 1 3
1 3 2
10 9
2 0 3
2 0 0
0 0 2
3 2 3
3 0 0
3 2 0
0 1 2
1 0 0
0 1 1
1 1 0
10 4
2 1 1
1 2 2
3 0 3
4 2 1
0 2 5
1 0 4
1 2 4
0 5 3
2 2 1
2 2 4
10 8
0 1 3
4 1 2
1 3 3
0 0 0
2 4 0
3 1 3
1 2 0
1 0 1
2 1 1
0 1 2
10 7
1 3 3
5 1 5
4 0 1
5 4 3
2 5 4
5 2 5
1 5 3
0 4 3
0 3 4
0 4 5
10 3
3 2 4
3 3 1
1 4 3
4 4 4
0 3 0
3 0 3
3 4 3
2 1 2
0 0 3
1 0 0
10 6
2 1 1
0 0 2
1 0 0
0 2 1
1 2 1
0 0 1
2 2 1
2 0 1
2 0 2
1 1 0
10 4
1 0 0
2 2 1
0 1 0
2 0 2
1 2 1
1 1 2
2 1 0
0 0 2
0 1 2
2 0 1
10 8
1 1 1
3 3 1
1 2 1
3 0 3
3 0 0
0 2 3
0 1 0
0 0 1
1 2 0
3 2 0
10 3
1 0 1
0 4 4
2 2 3
4 2 1
3 0 3
0 2 1
3 2 4
0 2 4
3 3 4
0 4 3
10 9
5 5 5
2 5 2
3 2 0
1 4 4
3 0 0
0 4 2
3 0 2
2 4 5
4 1 2
1 3 3
10 6
0 0 2
1 2 2
0 1 2
0 2 0
1 1 0
0 0 0
0 2 1
1 2 1
2 2 0
0 2 2
10 6
0 3 2
3 4 2
1 0 0
5 0 1
5 4 3
4 0 2
5 5 4
3 1 3
1 1 2
1 5 3
10 4
3 3 0
1 2 0
2 0 1
3 0 1
0 0 2
1 0 3
0 3 1
1 2 3
3 0 2
1 0 1
10 7
3 1 2
4 2 4
2 3 4
4 2 0
0 3 4
4 0 3
5 3 0
5 2 3
4 0 0
0 1 3
10 6
2 2 1
1 0 2
2 0 0
0 1 0
2 2 0
2 2 2
2 1 1
2 0 2
1 1 2
1 0 0
10 5
2 0 3
3 1 3
0 0 3
3 1 0
2 2 0
4 0 1
0 3 2
2 4 3
0 3 3
2 0 0
10 5
1 2 2
1 1 0
0 2 0
2 0 2
2 2 2
2 1 2
0 0 1
2 1 1
2 2 1
2 2 0
10 2
1 3 0
0 3 4
5 1 1
5 5 1
2 2 1
2 0 3
0 5 1
3 4 5
3 4 4
4 0 3
10 7
1 5 5
4 0 4
4 0 1
4 5 0
2 0 3
1 1 1
3 3 2
3 5 2
0 3 2
2 4 4
10 5
3 2 0
2 1 2
1 3 0
2 3 0
0 0 2
3 0 3
1 0 3
2 3 3
0 1 1
3 2 3
10 2
1 1 1
2 2 3
0 0 1
0 0 3
3 2 1
3 2 3
0 3 0
3 3 0
0 3 2
3 0 1
10 8
2 3 0
2 0 2
3 2 3
3 3 2
3 2 1
3 2 0
1 1 0
3 0 3
1 0 0
2 3 2
10 8
2 3 4
4 4 0
4 0 3
1 0 4
3 0 4
4 4 1
3 2 3
4 1 3
4 2 4
2 1 0
10 6
2 2 0
2 1 3
3 1 3
1 1 1
2 0 1
3 1 2
2 1 2
0 0 1
0 1 3
3 3 2
10 6
5 5 0
1 1 4
5 3 1
5 2 1
1 5 0
3 3 0
2 0 1
5 3 3
0 5 0
1 2 0
10 5
2 3 0
2 5 1
1 1 1
3 5 1
1 2 2
4 2 5
3 1 4
4 4 1
2 0 2
4 2 3
10 2
1 0 2
1 0 1
1 1 1
0 2 0
2 0 1
1 1 2
2 2 1
2 0 2
0 2 1
0 2 2
10 3
1 0 1
2 3 3
1 2 1
3 1 1
1 0 2
3 3 2
2 3 0
3 0 2
3 3 1
3 0 3
10 8
2 0 0
0 3 3
1 1 3
1 2 2
0 1 3
0 1 0
2 2 0
0 1 2
1 2 0
3 0 2
10 7
1 0 2
2 1 1
0 1 1
0 1 2
1 2 0
0 0 1
1 1 2
2 0 0
0 2 2
0 0 0
10 5
0 2 3
2 2 2
2 3 0
2 2 0
1 0 1
3 0 1
0 0 2
0 2 1
3 2 2
2 1 2
10 8
3 1 1
3 2 1
0 2 0
0 3 3
3 1 3
1 0 0
2 1 2
1 0 1
1 1 1
2 0 1
10 7
3 3 2
2 3 1
3 2 2
1 3 1
1 0 1
1 3 2
2 2 0
1 1 3
2 4 1
1 4 2
10 4
2 2 0
0 1 1
2 1 1
0 0 0
2 2 2
2 0 2
1 1 1
1 1 2
2 0 1
1 1 0
10 6
3 1 1
0 1 2
1 0 1
1 3 1
2 3 0
2 2 1
0 1 3
1 1 1
0 3 3
2 3 2
10 4
5 3 5
4 4 5
5 4 3
0 2 3
0 3 2
2 2 3
2 4 0
5 0 2
4 5 3
0 5 2
10 6
2 2 1
1 0 2
0 0 2
1 1 0
0 1 1
1 2 2
0 1 0
2 0 2
2 0 1
0 1 2
10 7
0 0 2
0 1 0
2 2 1
2 1 0
2 0 0
1 2 2
1 0 1
2 2 2
2 2 0
1 1 1
10 6
1 1 1
1 4 1
2 1 3
1 2 1
4 2 1
0 0 0
1 0 1
1 1 3
3 4 1
1 2 0
10 5
2 3 1
1 4 3
1 4 4
3 0 1
3 1 3
3 2 4
1 0 2
0 1 4
2 0 1
0 3 2
10 7
1 3 2
1 2 3
2 3 2
1 1 3
2 3 1
3 0 0
0 1 1
1 1 2
1 3 3
1 0 0
10 2
1 4 4
3 4 4
1 2 2
0 4 3
2 2 0
1 2 0
1 3 0
0 0 3
0 3 4
4 4 4
10 3
3 0 0
3 0 3
2 1 2
1 1 2
2 0 3
0 2 0
0 3 4
1 4 3
4 1 0
0 1 3
10 4
0 2 0
2 2 1
0 3 3
2 3 1
3 3 3
1 0 2
3 2 1
2 3 0
0 2 3
0 1 0
10 8
2 2 0
0 3 2
2 0 1
2 3 0
1 3 1
2 3 1
2 3 2
2 2 1
3 2 2
0 0 1
10 7
1 0 2
2 1 2
0 2 0
2 1 1
0 1 0
1 1 0
1 1 1
2 2 2
0 0 2
0 0 0
10 8
3 4 2
1 3 1
2 0 3
3 0 4
0 1 1
3 2 4
0 3 2
2 3 1
0 4 0
4 2 3
10 5
0 0 2
4 2 2
0 4 4
3 2 1
1 3 2
3 2 0
4 4 2
3 3 4
3 3 3
1 2 2
10 8
0 2 1
2 2 1
0 1 0
2 3 1
2 0 3
1 0 3
0 1 2
3 1 3
2 3 0
3 3 0
10 5
0 3 3
3 1 3
1 3 2
0 1 2
2 0 0
0 3 0
1 3 0
0 2 1
3 0 0
3 0 3
10 6
0 1 1
3 0 1
1 1 0
3 0 2
3 3 0
3 2 2
1 0 1
2 2 3
3 0 3
1 2 3
10 7
2 2 1
0 0 1
0 0 2
3 0 3
1 3 1
0 3 2
3 3 1
1 3 3
1 0 3
3 2 2
10 2
2 0 1
1 2 1
2 2 1
0 2 2
2 1 1
1 2 2
1 1 1
1 1 0
2 0 2
1 0 1
10 8
4 4 2
2 4 4
2 1 3
2 1 0
4 3 1
4 3 2
0 2 2
0 1 1
0 3 1
2 2 1
10 3
4 3 1
1 0 3
2 3 0
3 2 2
5 1 3
5 4 2
5 3 1
3 1 5
3 0 5
1 2 5
10 5
5 2 3
4 3 2
0 1 5
4 0 2
3 4 0
4 2 2
3 2 4
4 0 1
1 0 2
5 3 1
10 8
0 0 0
0 2 0
3 3 0
3 2 3
2 1 1
1 2 2
3 2 1
0 0 3
1 3 2
1 1 0
10 2
4 4 2
1 4 1
3 4 2
3 3 1
2 1 4
4 0 1
1 0 4
2 3 1
2 3 3
2 3 4
10 8
4 2 1
3 1 2
2 5 1
0 4 0
2 0 0
5 4 3
2 1 5
5 0 5
3 5 0
5 1 5
10 4
1 2 1
0 2 3
2 1 3
2 0 2
3 0 0
1 3 2
0 1 3
1 2 0
3 1 1
0 1 0
10 5
4 4 2
2 1 1
1 0 3
0 2 0
4 3 5
5 4 1
2 5 2
2 4 2
3 4 1
3 0 5
10 6
4 4 4
1 2 3
0 4 2
2 5 1
4 5 2
2 4 4
5 0 2
3 1 5
3 5 2
0 0 1
10 4
3 1 0
0 2 1
3 2 0
0 4 0
1 2 1
3 1 3
1 4 4
4 0 1
1 3 1
4 3 0
10 9
0 1 3
1 2 5
4 2 1
5 3 4
5 2 2
0 4 3
3 2 3
3 1 5
2 0 4
5 4 2
10 4
0 0 2
2 1 0
2 1 2
1 0 0
0 0 1
2 2 0
1 2 1
0 2 0
1 1 2
2 0 0
10 3
1 1 2
2 0 1
0 2 0
0 1 2
2 2 0
0 2 2
2 0 0
2 0 2
0 0 0
1 0 2
10 9
4 1 0
1 1 0
4 2 5
4 0 5
4 3 1
0 0 1
2 1 5
0 2 2
3 0 1
0 4 3
10 5
1 1 4
1 4 4
3 1 3
0 2 3
0 1 3
0 2 2
1 2 1
2 3 2
0 2 1
0 2 0
10 8
1 2 3
4 3 1
1 4 2
2 3 0
1 4 1
3 2 1
2 0 0
2 3 4
1 3 3
3 4 0
10 7
4 5 2
1 2 3
5 1 4
4 0 0
4 4 1
1 2 4
5 2 5
0 0 2
0 2 0
3 2 3
10 5
1 2 2
1 2 0
2 1 0
1 1 0
0 0 0
2 0 0
2 1 2
0 1 1
0 2 0
0 1 2
10 5
0 2 3
4 3 3
1 1 3
2 2 3
0 2 2
3 0 2
0 0 2
2 3 3
0 3 0
4 1 3
10 3
0 1 2
4 2 0
3 4 2
0 2 0
1 3 0
1 3 2
2 4 3
0 1 0
0 3 3
0 0 2
10 5
3 1 0
0 3 1
1 3 0
0 3 3
1 0 1
3 0 3
2 0 0
1 0 2
3 1 3
2 3 3
10 5
3 5 0
1 0 3
3 5 3
3 4 1
3 3 1
5 3 3
0 0 2
3 4 4
5 0 5
2 2 2
10 6
0 0 0
1 1 0
0 2 2
0 0 1
0 1 1
1 2 2
1 1 1
0 2 0
1 0 0
1 2 1
10 6
1 0 1
3 0 3
2 2 3
2 4 1
4 0 4
1 0 0
0 3 4
1 4 2
3 2 1
0 4 5
10 2
1 2 0
0 1 1
1 0 0
1 1 1
1 1 0
2 1 0
2 0 2
2 1 1
0 2 0
0 1 2
10 6
0 1 0
2 1 0
2 2 0
1 0 0
1 2 1
2 0 2
1 1 0
1 0 2
0 2 2
2 1 2
10 6
3 0 5
5 3 3
4 3 5
5 5 0
2 4 5
3 3 0
5 3 2
4 2 3
4 3 1
2 2 2
10 3
1 3 3
2 0 2
3 3 0
2 0 1
0 3 0
4 0 1
0 3 1
4 3 3
1 2 1
3 1 1
10 5
4 1 0
3 1 4
4 0 3
2 0 0
4 4 4
0 3 0
1 1 3
1 1 1
3 4 2
1 3 1
10 4
1 0 1
0 0 0
1 0 0
1 1 0
0 0 1
1 1 2
1 2 2
0 2 1
1 1 1
2 2 0
10 8
0 2 1
0 1 1
1 2 2
0 0 0
1 1 1
0 1 0
1 1 0
2 1 1
1 2 0
2 1 0
10 7
2 2 2
1 2 4
5 4 2
1 5 3
2 5 3
0 4 4
0 2 1
0 5 2
1 3 4
4 0 2
10 6
0 1 1
1 0 2
1 1 0
1 1 2
0 0 1
2 2 2
0 1 0
2 2 1
0 0 0
0 2 2
10 3
0 1 1
1 2 0
1 2 2
2 2 0
2 1 2
2 1 0
0 0 0
1 0 1
2 2 2
2 0 0
10 7
0 1 2
2 0 0
2 2 0
2 0 2
0 2 2
2 1 0
2 1 2
2 2 1
1 0 0
0 0 1
10 5
1 1 0
0 0 1
2 1 2
0 2 2
2 2 1
2 0 0
1 1 2
0 1 1
0 1 0
0 2 1
10 6
2 2 4
2 1 4
3 1 2
2 0 2
4 0 1
3 4 2
2 0 3
2 2 2
2 0 1
4 2 3
10 2
4 3 3
0 5 0
3 3 1
4 4 4
5 5 0
2 2 1
4 5 1
4 4 0
5 1 2
2 0 3
10 6
1 0 2
1 0 0
2 1 0
0 0 0
0 2 1
2 0 0
2 0 1
2 1 2
1 1 2
1 2 1
10 3
4 1 4
0 0 3
4 1 2
4 2 3
4 2 1
3 2 0
2 3 4
1 2 2
4 3 1
3 1 1
10 8
5 1 0
0 2 4
5 5 2
1 3 3
2 2 0
1 4 1
5 4 3
2 3 3
2 5 5
1 4 4
10 8
3 3 0
0 0 0
3 0 0
2 3 3
1 0 3
2 2 1
1 1 1
2 0 2
1 3 3
0 2 1
10 9
3 4 1
1 5 2
3 1 1
4 0 1
4 0 5
5 0 1
0 5 5
1 3 4
1 2 1
3 0 2
10 2
3 4 2
2 1 0
4 4 4
3 1 3
3 3 4
2 4 2
0 4 0
4 2 4
1 0 1
2 4 3
10 8
0 1 0
0 4 3
3 1 1
3 3 2
2 2 3
3 3 1
2 4 1
2 2 4
3 3 3
3 0 4
10 7
2 2 3
3 3 1
2 0 1
1 0 2
0 3 1
0 2 0
3 1 4
2 0 2
0 3 0
3 2 4
10 8
3 0 4
2 4 1
0 1 2
1 0 2
1 3 3
3 1 0
1 4 4
1 3 4
3 2 1
2 3 0
10 3
1 2 0
2 2 0
1 1 2
1 0 1
1 0 2
1 1 0
2 1 1
2 1 0
1 2 1
2 1 2
10 8
1 2 3
4 0 1
4 1 1
1 3 0
2 2 1
1 3 2
1 2 5
1 2 4
4 0 5
3 5 3
10 7
1 1 0
1 0 1
2 1 0
2 2 1
2 2 0
1 1 2
0 1 0
0 1 2
1 2 2
0 1 1
10 4
4 5 4
1 2 2
2 4 4
3 0 4
0 0 1
1 5 2
1 0 0
0 4 1
5 1 1
5 4 2
10 3
5 1 1
2 3 4
0 0 5
5 1 3
0 5 1
4 1 3
2 4 5
3 0 2
3 0 4
5 0 5
10 9
1 0 1
2 2 1
2 0 1
1 1 0
1 0 2
1 2 2
0 1 2
2 1 1
0 0 2
2 2 2
10 7
1 3 0
2 2 3
2 1 2
1 0 1
1 2 2
3 3 2
3 2 3
3 1 3
2 3 3
0 3 2
10 2
0 2 1
1 2 2
2 1 0
0 2 0
2 2 0
1 1 0
1 2 1
0 1 2
1 0 1
0 0 0
10 5
0 2 0
0 1 2
1 2 3
1 2 2
3 2 2
2 3 0
1 1 0
1 0 3
2 1 1
3 3 3
10 2
4 3 1
4 4 1
1 1 3
3 3 0
0 2 4
4 1 1
0 3 3
3 0 2
4 2 4
2 0 4
10 2
3 2 1
3 2 0
4 2 4
4 4 0
0 4 2
1 3 2
0 2 2
3 0 0
4 1 4
1 3 3
10 9
1 2 0
1 3 2
4 0 2
0 3 2
5 3 2
5 5 4
4 2 2
3 5 3
0 1 0
4 1 3
10 7
5 3 0
4 0 1
3 0 0
0 2 0
1 4 2
2 2 2
1 5 5
2 3 0
3 0 5
3 1 2
10 2
0 4 0
4 0 1
2 4 1
3 3 0
0 3 1
3 3 3
2 1 2
4 0 2
2 2 3
0 0 2
10 3
1 1 1
0 1 1
2 1 2
0 1 0
1 0 1
2 2 1
2 0 1
0 2 0
1 2 0
1 2 2
10 8
0 0 0
3 3 1
0 3 0
0 2 2
0 3 2
0 2 1
1 3 3
3 0 2
3 1 3
1 3 0
10 4
2 0 1
0 1 3
1 2 3
0 2 0
1 3 3
0 2 2
3 1 0
3 2 0
1 0 2
2 1 1
10 7
5 3 2
1 0 2
5 0 4
1 3 5
3 3 3
2 1 5
0 3 3
4 5 5
4 4 2
5 1 4
10 8
0 2 2
1 0 2
0 1 0
0 0 1
2 1 2
1 0 0
2 0 1
2 2 0
2 1 1
1 1 2
10 8
0 4 3
1 4 2
4 2 0
3 3 4
1 4 0
0 4 4
3 2 1
4 3 0
0 0 4
0 1 0
10 4
2 0 0
0 0 1
0 2 2
1 2 0
0 1 0
2 0 2
0 2 0
0 2 1
0 1 1
2 1 0
10 8
2 0 2
0 0 2
0 1 1
1 2 1
1 2 0
1 1 1
0 1 2
0 0 0
2 1 2
1 0 2
10 9
2 2 1
0 3 2
4 4 4
3 1 2
0 0 0
4 1 2
3 2 3
1 4 4
0 4 4
3 3 1
10 4
0 0 2
2 1 2
1 1 2
0 0 1
1 0 2
0 2 0
2 1 0
2 1 1
0 1 2
1 0 0
10 3
2 0 2
0 2 0
0 2 2
1 0 2
2 2 1
0 1 0
1 2 0
1 0 1
2 1 1
1 1 2
10 7
2 0 3
3 0 1
2 1 1
0 1 3
1 1 1
3 1 0
2 1 3
0 2 2
3 2 3
3 3 3
10 5
2 4 2
4 4 2
4 4 1
2 0 3
3 0 2
2 2 4
0 3 0
0 2 4
3 4 4
4 2 3
10 8
3 3 5
3 3 2
3 3 0
1 3 0
1 0 5
5 4 2
0 4 5
3 1 2
1 2 3
3 1 4
10 5
0 2 0
0 4 1
3 4 2
3 0 4
2 2 1
1 3 1
3 4 0
2 4 4
3 3 2
2 2 0
10 6
0 2 1
2 1 0
1 2 2
2 0 0
2 3 1
3 2 0
1 1 3
2 2 0
2 2 2
2 1 1
10 2
1 3 4
0 2 3
2 0 2
3 2 1
3 4 1
1 4 3
4 0 4
1 2 3
4 0 2
0 4 0
10 3
2 2 2
2 0 1
1 1 2
2 1 2
1 0 1
0 1 0
0 1 1
1 2 2
2 1 0
1 1 1
10 9
1 3 2
3 1 1
0 0 0
0 3 3
1 3 0
2 3 3
1 0 1
0 1 2
3 2 3
0 3 1
10 7
5 2 3
5 0 4
3 4 5
4 1 4
4 2 1
1 5 2
2 1 2
3 4 2
0 4 4
3 2 2
10 3
0 0 1
2 2 2
0 2 1
2 0 1
1 2 0
2 1 1
2 2 1
1 1 1
1 1 0
0 1 2
10 2
1 1 1
1 2 3
1 0 2
3 1 0
3 3 1
1 3 0
1 0 3
3 3 2
1 1 0
2 1 1
10 2
4 1 1
0 3 0
2 4 1
4 4 3
1 4 2
3 3 4
3 4 4
3 1 3
2 2 1
1 0 3
10 3
2 0 1
0 2 2
2 1 1
0 2 0
1 0 0
2 2 0
0 0 0
1 0 2
2 0 2
1 1 0
10 4
4 0 0
3 4 0
3 2 3
1 0 2
0 3 0
1 3 1
2 3 1
2 1 2
3 4 4
0 2 3
10 4
3 3 3
3 2 1
1 1 3
1 3 2
3 0 1
1 1 1
2 1 2
0 3 1
3 2 0
2 3 3
10 9
4 0 3
1 4 0
0 1 0
0 4 3
1 2 1
0 1 2
0 3 2
0 3 4
4 3 4
1 1 4
10 2
4 4 0
3 2 3
4 0 3
1 3 2
2 3 0
0 1 0
4 2 4
4 3 3
1 4 4
4 4 4
10 5
3 3 2
2 0 0
0 2 2
3 0 2
1 3 1
0 1 1
1 1 2
3 3 3
2 1 2
1 2 2
10 3
4 2 2
2 4 0
4 0 0
1 3 1
3 1 2
2 1 3
4 1 0
0 3 1
2 1 1
4 3 1
10 9
4 3 4
3 4 4
1 3 5
4 2 2
5 2 0
2 0 2
0 5 4
0 3 1
3 3 0
5 4 0
10 7
0 1 2
0 2 0
0 0 2
2 2 0
2 2 2
1 2 0
0 1 0
2 0 2
2 1 1
1 1 0
10 9
3 4 2
4 1 0
0 2 3
2 4 4
1 4 2
3 2 4
3 1 0
3 1 3
1 0 1
0 3 4
10 9
0 4 2
4 4 4
2 2 3
4 2 4
4 0 0
0 2 2
2 1 0
0 0 4
1 0 3
0 3 3
10 8
2 3 3
0 2 0
2 1 1
2 3 0
0 0 1
3 2 1
2 2 0
1 0 3
2 3 2
2 1 0
10 6
2 1 1
0 0 3
2 2 3
0 1 0
2 2 1
3 3 3
0 2 1
3 1 2
1 0 3
2 2 2
10 8
0 2 0
2 1 2
0 1 0
2 2 1
2 0 0
0 1 2
2 2 0
1 1 2
1 0 0
2 1 0
10 4
5 3 2
0 2 2
0 0 1
4 5 2
5 4 5
0 1 2
1 3 3
0 5 2
2 5 0
1 3 1
10 3
0 0 2
0 2 0
2 2 1
1 1 1
2 0 2
0 1 0
1 2 1
0 2 2
1 2 2
1 0 2
10 3
0 2 2
0 4 3
1 1 4
2 5 3
1 2 5
0 1 0
3 3 0
3 4 4
3 4 3
1 2 4
10 4
0 4 1
0 1 3
2 1 3
1 1 1
2 3 0
3 4 4
2 2 0
3 4 2
1 4 3
2 3 3
10 9
0 0 1
2 1 0
1 0 2
1 2 0
1 1 1
0 1 2
0 0 0
1 0 1
2 1 1
0 2 0
10 5
2 3 4
3 2 1
2 2 4
1 4 4
3 1 1
2 0 2
3 4 0
3 3 0
1 0 2
0 1 3
10 2
0 0 0
0 1 2
2 0 1
3 3 0
1 3 1
1 2 0
2 3 0
0 0 3
2 2 3
3 1 1
10 5
2 4 2
2 4 3
4 5 5
5 5 1
0 0 1
1 1 4
4 1 3
5 1 4
4 2 3
0 3 2
10 4
0 1 3
0 0 4
3 2 3
3 0 2
1 4 4
0 2 1
3 1 4
4 1 2
0 3 4
0 2 0
10 5
2 1 3
2 0 5
2 1 5
0 3 2
4 1 2
3 3 3
0 5 1
4 3 2
1 0 5
5 5 3
10 3
2 0 3
1 1 1
3 3 3
2 1 3
3 2 2
1 3 2
0 0 3
1 2 0
0 3 3
2 0 1
10 4
1 1 2
2 2 1
2 0 0
0 0 1
2 2 0
2 1 1
0 1 2
1 1 0
1 2 2
0 2 2
10 3
4 2 0
4 4 1
4 4 3
2 0 2
0 4 4
3 0 1
0 1 1
1 4 3
2 3 4
0 3 0
10 6
2 2 1
2 0 0
0 3 0
3 1 1
2 0 1
2 1 1
0 0 0
3 2 2
1 0 3
3 3 3
10 6
2 3 3
1 3 2
1 0 3
2 1 3
0 3 3
2 1 2
1 2 3
0 0 3
1 3 3
2 2 1
10 2
0 3 0
5 5 2
1 4 4
4 4 5
5 2 5
2 1 1
5 0 3
2 0 5
2 2 0
0 5 0
10 5
2 1 1
1 1 2
0 1 0
1 0 2
2 1 0
1 2 0
0 2 2
1 2 2
1 2 1
0 2 0
10 5
0 3 1
2 2 2
2 2 0
3 0 3
3 0 1
0 1 0
1 1 0
3 2 3
1 2 1
3 2 1
10 2
4 4 2
0 3 2
3 2 1
0 5 2
2 2 4
5 3 3
4 4 4
5 0 2
0 5 4
3 1 0
10 7
5 3 5
4 1 3
1 3 1
1 3 4
4 4 0
0 3 4
2 0 1
1 1 1
1 4 0
3 1 2
10 3
3 3 0
1 0 2
1 2 3
0 0 1
1 3 2
2 0 1
2 3 3
3 0 1
2 0 0
1 2 0
10 5
1 0 5
4 1 3
0 4 3
4 5 0
4 2 0
0 5 1
4 4 4
4 3 2
1 0 0
4 3 3
10 7
3 3 2
2 2 2
2 0 2
0 3 4
2 0 4
4 4 2
3 0 1
1 2 4
4 3 1
1 4 4
10 9
2 1 1
4 1 3
4 4 1
3 4 0
0 2 1
3 2 3
3 4 3
4 4 3
4 3 3
1 0 0
10 6
0 4 3
3 0 3
2 1 1
3 0 1
3 2 0
1 0 3
4 3 1
0 4 0
4 3 4
0 0 4
10 8
2 3 4
2 1 3
1 3 3
0 3 1
4 0 1
4 1 2
1 1 2
3 0 4
0 4 2
1 3 4
10 3
2 1 0
2 2 2
0 1 1
1 2 1
1 1 2
2 1 1
0 1 2
2 0 0
0 2 1
0 2 2
10 3
3 1 1
0 3 3
2 3 3
1 0 2
0 4 3
0 0 0
2 2 4
1 4 1
1 0 1
4 2 3
10 5
3 3 3
0 1 1
2 0 1
2 3 1
2 3 3
3 0 2
3 1 1
3 0 1
0 2 2
1 3 1
10 9
4 4 5
1 3 2
2 1 1
1 0 4
4 4 1
3 3 4
0 0 3
3 2 3
1 5 1
3 4 1
10 6
1 0 2
2 1 2
1 2 0
3 0 3
1 3 1
3 1 0
2 1 1
2 3 3
1 2 2
0 2 1
10 7
1 3 1
3 1 2
2 0 0
2 2 1
2 1 3
1 1 2
2 1 0
2 3 3
3 2 0
3 0 1
10 5
0 1 1
2 1 1
1 0 2
0 0 0
1 2 2
1 2 0
0 2 1
0 0 1
1 1 1
0 2 0
10 9
4 3 4
4 5 3
3 0 2
4 5 0
1 4 2
0 5 3
5 3 0
1 0 1
3 3 1
5 1 4
10 8
5 0 5
3 5 2
4 4 3
5 0 1
4 5 3
4 4 0
5 0 3
0 0 2
3 2 3
2 4 3
10 6
5 5 3
1 4 1
5 3 0
1 5 1
4 4 2
0 5 2
0 4 2
0 1 0
0 0 5
2 4 5
10 3
2 1 1
1 0 1
0 1 1
1 0 0
1 1 1
1 2 0
0 2 2
2 0 0
2 0 2
0 2 1
10 3
2 3 1
1 3 3
2 2 3
1 3 0
0 2 3
0 3 2
3 1 2
1 0 0
0 0 2
3 2 0
10 7
4 4 3
3 3 4
1 2 3
2 3 1
2 0 1
1 0 4
0 3 1
1 4 4
0 4 4
3 2 4
10 9
1 2 0
0 0 0
2 1 2
0 1 2
1 1 1
1 1 2
2 0 2
2 1 1
1 2 2
2 1 0
10 3
3 1 4
1 0 4
4 2 2
0 2 2
5 1 3
3 4 2
2 2 4
5 1 1
5 4 2
5 1 4
10 9
2 1 3
2 2 0
1 0 0
3 1 0
3 2 1
0 2 2
0 2 1
2 3 0
0 1 1
1 0 3
10 6
2 4 4
2 1 2
2 0 5
4 0 4
3 0 0
2 4 1
4 4 4
2 2 0
5 3 4
2 1 5
10 8
2 0 2
1 2 0
0 2 1
1 2 2
2 1 0
2 2 2
0 0 1
2 1 1
2 0 0
0 1 1
10 2
0 0 3
3 2 2
3 2 0
1 0 3
1 4 2
2 2 4
3 4 1
1 2 3
3 0 2
4 4 2
10 5
3 2 3
2 3 1
1 0 1
2 0 2
1 1 1
1 0 2
0 2 3
1 2 0
1 3 0
3 1 3
10 8
0 1 2
1 1 0
3 2 1
1 1 2
1 2 2
2 0 3
2 3 3
3 0 1
2 0 0
1 2 3
10 3
0 2 2
2 0 2
1 0 0
0 2 0
0 1 1
2 1 0
1 2 2
1 1 2
0 1 0
2 2 1
10 3
4 1 4
5 1 5
1 1 4
3 2 5
4 0 0
5 4 3
3 0 1
5 0 4
2 2 0
1 4 3
10 9
1 4 2
2 4 3
3 3 2
0 0 1
1 2 0
0 2 0
1 4 1
0 0 2
4 1 2
4 1 0
10 9
3 0 0
0 0 2
2 2 2
4 2 1
2 4 2
1 2 0
0 4 0
4 4 0
1 3 1
1 1 0
10 3
1 1 2
0 0 2
0 1 1
1 1 1
1 2 2
1 0 0
1 0 2
1 2 1
0 2 2
0 2 1
10 3
4 5 5
5 5 4
3 0 2
1 3 2
4 0 5
2 3 1
0 2 5
1 2 4
4 1 5
3 5 4
10 6
2 0 3
3 1 0
1 3 1
0 0 3
0 2 2
0 2 3
1 2 0
3 3 1
3 1 2
0 3 3
10 6
1 4 4
2 5 0
5 1 4
3 1 5
2 3 4
4 5 4
0 5 4
4 0 3
4 5 3
2 0 5
10 4
0 2 0
4 1 3
2 3 2
4 0 0
0 4 1
3 1 1
0 1 2
0 3 1
3 4 0
4 4 3
10 2
0 0 2
0 2 0
2 0 0
0 0 1
1 2 0
1 1 1
2 2 1
0 2 2
2 1 1
2 2 0
10 7
4 4 2
2 5 4
2 2 0
5 4 4
0 4 2
2 2 2
1 0 0
5 5 3
2 1 1
4 0 4
10 3
2 1 4
3 4 2
3 1 1
4 2 1
4 4 1
4 2 2
0 2 0
0 2 1
3 3 0
4 0 2
10 6
0 1 4
0 2 1
3 3 1
3 1 0
4 3 3
1 2 3
3 4 1
1 1 2
0 2 3
1 4 3
10 7
2 2 3
3 4 3
0 1 2
4 1 3
1 3 3
3 3 4
0 0 0
1 4 3
1 4 1
0 2 2
10 3
2 3 3
3 3 2
1 0 2
1 1 1
1 2 0
1 1 0
3 1 2
0 2 2
0 0 2
2 1 0
10 6
2 3 2
1 1 3
2 0 0
0 0 1
2 1 3
3 3 0
2 1 0
0 0 0
3 0 2
3 0 1
10 5
1 0 0
3 2 0
2 1 3
2 2 1
0 2 2
3 1 2
1 0 2
1 3 0
3 3 1
2 3 3
10 7
2 2 0
2 1 1
2 2 2
2 1 0
1 2 1
0 2 2
1 1 1
1 1 0
1 0 0
2 0 1
10 2
1 0 1
0 0 0
1 0 2
2 2 0
0 2 2
0 2 1
2 0 1
2 1 0
2 2 2
1 1 0
10 8
4 1 4
0 4 3
2 4 2
2 1 0
3 0 0
4 4 2
2 1 1
0 2 1
3 2 3
1 1 4
10 8
2 1 2
2 1 1
0 0 0
2 2 0
1 1 0
0 0 1
2 1 0
1 1 1
0 1 2
0 1 0
10 6
2 3 1
0 3 0
3 2 1
0 0 3
0 2 3
1 2 0
3 0 2
3 2 3
0 0 0
3 3 3
10 4
5 2 2
4 3 2
2 0 0
1 0 3
0 2 5
0 0 1
5 3 1
4 0 5
3 2 5
3 5 4
10 8
1 2 2
1 0 2
2 2 0
1 2 1
2 0 1
2 2 2
2 1 2
2 1 1
0 0 0
1 1 2
10 9
3 3 2
2 3 0
0 2 2
1 0 3
2 2 0
0 0 3
3 2 1
0 0 1
2 3 1
1 3 2
10 8
2 4 0
5 2 2
1 1 0
5 2 5
3 3 2
3 5 5
1 5 3
3 0 5
1 1 1
4 2 5
10 8
0 1 0
2 2 2
0 2 0
0 1 2
1 0 2
1 1 2
1 2 2
0 1 1
0 0 2
1 2 1
10 6
2 3 5
1 1 2
4 1 5
5 5 5
0 2 4
1 4 1
0 5 2
5 4 4
3 1 1
2 5 5
10 2
0 4 2
3 0 3
1 4 1
0 0 2
2 3 1
4 2 4
0 0 0
1 0 4
3 4 3
1 2 0
10 5
0 1 2
2 1 2
2 0 1
0 1 1
1 0 1
2 2 0
1 1 1
2 0 0
0 0 0
0 2 2
10 2
1 0 0
3 1 2
1 2 1
0 3 0
2 1 3
2 0 3
2 3 4
0 1 4
0 3 2
3 3 0
10 9
3 4 0
3 4 3
3 4 1
3 0 3
0 1 4
4 0 1
4 3 1
0 1 3
1 1 2
0 4 4
10 7
0 2 4
4 1 2
4 1 3
4 0 1
4 1 1
4 1 4
4 0 4
0 0 0
0 1 4
0 1 2
10 5
0 1 1
0 2 0
2 0 1
1 2 0
1 2 1
2 2 2
1 0 1
1 0 0
2 0 2
0 1 0
10 3
0 0 0
0 1 1
0 0 2
0 1 0
1 2 1
1 0 0
2 2 1
2 0 1
0 0 1
2 1 1
10 3
2 0 0
0 1 2
2 4 1
2 2 2
2 0 4
3 1 1
1 0 1
4 1 1
3 2 1
1 2 2
10 8
0 0 2
2 2 1
1 0 2
2 2 0
2 1 0
2 0 1
0 2 1
2 1 2
1 1 1
0 1 2
10 8
0 2 2
0 0 2
2 0 1
1 0 2
0 0 0
0 1 2
2 0 2
0 1 1
0 2 0
1 0 0
10 7
2 0 3
2 1 2
2 3 3
3 3 4
0 5 4
0 2 3
3 5 0
0 1 5
2 2 4
3 5 1
10 7
2 5 3
0 2 3
5 1 3
4 3 0
0 4 0
1 0 0
2 1 1
3 3 3
0 5 5
4 4 2
10 6
4 4 3
2 5 4
5 1 1
5 4 1
3 0 5
5 3 5
1 5 5
1 2 0
2 4 4
3 1 2
10 5
4 3 2
4 2 2
4 4 3
4 4 4
3 1 4
3 4 1
3 0 1
1 0 3
1 4 3
1 3 4
10 4
3 1 0
1 3 0
1 5 1
5 2 2
0 1 2
3 0 4
5 5 1
1 4 1
4 1 2
2 5 5
10 9
4 4 2
3 0 2
2 0 1
2 1 4
2 0 4
1 4 2
0 0 3
4 0 1
0 3 1
2 1 0
10 8
3 0 1
5 4 4
4 0 0
3 4 4
5 3 2
3 5 4
0 4 0
3 1 3
5 5 4
3 2 3
10 5
4 4 3
2 3 0
4 3 1
2 0 1
0 0 4
1 1 2
4 1 1
0 1 4
4 4 0
1 0 4
10 5
0 5 0
1 1 1
4 2 4
0 0 1
3 4 4
0 2 2
1 5 0
3 3 4
3 0 0
1 2 4
10 6
4 2 1
3 4 3
4 2 2
0 1 3
0 4 0
0 1 0
0 0 1
2 4 4
3 1 2
4 3 0
10 6
4 3 5
3 1 5
4 2 3
5 0 1
2 0 0
1 4 1
3 5 0
2 2 3
1 2 5
0 1 3
10 5
1 4 4
0 1 0
2 4 3
3 1 4
0 4 4
3 0 1
3 3 4
1 0 4
0 4 1
2 1 4
10 6
3 0 0
2 3 1
0 2 3
0 0 3
0 0 1
3 1 0
0 1 2
3 1 3
2 3 3
1 0 0
10 9
1 0 0
1 0 2
1 2 1
2 1 2
2 2 1
0 1 1
0 0 2
2 0 1
1 2 2
2 2 2
10 5
4 3 3
3 3 4
1 0 0
4 3 0
4 3 2
4 1 1
1 4 1
2 0 2
3 3 1
0 3 4
10 4
5 1 1
0 5 2
4 2 1
2 4 0
0 2 4
3 0 1
5 0 3
2 4 4
0 1 2
5 1 4
10 7
0 2 0
2 3 3
3 2 2
0 0 3
2 2 0
3 2 1
3 1 0
3 2 0
1 0 2
1 2 0
10 3
0 2 2
3 0 3
3 2 3
1 1 0
2 0 2
3 2 1
1 1 2
3 3 1
0 2 1
2 0 3
10 4
2 1 2
1 1 1
0 0 0
1 0 1
2 2 1
2 1 1
2 2 0
0 1 1
0 0 2
2 0 2
10 9
2 1 3
3 1 2
3 1 1
2 2 0
0 3 2
0 0 1
3 0 3
1 3 2
0 2 2
0 1 0
10 9
1 2 2
2 3 4
3 3 3
4 0 1
1 4 0
4 2 0
3 4 0
4 1 4
2 1 1
1 3 2
10 6
2 4 4
1 0 1
1 4 1
1 0 4
4 0 0
0 3 1
1 0 3
2 2 2
2 4 3
2 0 2
10 6
2 3 5
0 2 1
0 5 3
0 1 1
3 1 2
0 5 0
5 0 4
4 4 1
2 0 5
0 4 1
10 5
2 5 4
5 5 0
1 2 1
0 3 4
0 2 2
4 4 0
2 2 0
4 4 3
3 4 2
3 5 5
10 6
2 0 2
0 0 3
2 2 1
0 2 2
3 2 0
3 3 1
1 0 1
0 0 2
3 0 1
2 1 2
10 6
3 0 2
2 1 2
3 1 0
3 3 2
2 0 3
0 3 0
1 2 2
3 3 1
1 0 2
0 0 3
10 3
0 0 1
2 1 1
1 1 2
0 0 2
2 0 1
2 2 0
0 0 0
0 2 1
0 1 0
1 1 0
10 9
2 1 1
1 2 2
2 2 1
1 1 0
0 1 2
0 2 0
2 0 2
1 2 0
1 0 0
2 1 0
10 5
0 3 0
2 0 0
1 2 3
1 2 1
0 2 2
2 3 2
1 0 1
2 1 0
0 3 3
0 2 1
10 8
0 5 2
0 3 2
4 2 4
4 2 2
4 3 4
0 0 0
4 0 2
1 1 3
1 3 0
2 3 4
10 5
2 1 3
3 5 2
1 0 5
1 0 1
2 3 0
5 0 3
5 4 5
0 2 5
0 1 4
4 1 2
10 9
0 1 0
1 4 3
2 1 3
4 1 2
5 4 2
4 4 4
0 0 2
4 3 1
4 5 0
0 0 3
10 3
2 2 3
0 1 0
4 1 2
3 3 1
0 2 4
2 3 2
0 4 0
1 4 3
3 2 1
1 4 2
10 4
0 1 1
2 2 2
0 1 2
0 0 2
1 0 0
0 1 0
0 0 0
1 1 1
1 1 2
2 1 0
10 5
0 0 2
4 0 0
3 1 0
4 2 0
3 0 2
3 1 4
2 0 4
2 1 1
1 3 4
3 3 4
10 6
1 2 0
1 0 0
0 1 1
1 1 1
1 0 2
0 1 0
1 2 2
0 0 0
0 0 1
1 0 1
10 2
1 2 0
2 0 0
0 0 1
1 2 1
0 1 1
1 0 2
2 1 1
2 2 1
1 0 0
1 1 2
10 6
0 5 0
3 5 3
3 0 2
3 0 5
1 5 4
0 0 3
0 4 1
1 4 5
5 0 3
2 5 3
10 9
0 1 2
1 2 1
1 0 0
0 1 0
2 1 2
2 0 2
0 0 2
0 0 0
0 2 1
2 2 1
10 4
0 2 4
2 1 2
4 3 2
2 3 2
4 4 2
5 3 4
0 1 4
5 2 4
1 3 5
5 2 0
10 8
1 4 3
1 3 3
2 4 1
2 0 3
3 1 3
0 2 3
4 2 4
1 2 3
2 3 0
3 0 1
10 5
0 2 0
1 0 1
2 2 1
1 1 2
1 0 2
2 2 0
2 2 2
1 1 1
1 0 0
0 2 1
10 3
2 1 0
3 0 2
0 2 4
2 1 1
4 2 3
3 3 3
1 4 4
0 1 2
4 4 0
3 2 3
10 6
1 3 2
1 2 0
0 1 1
3 1 2
3 3 3
3 3 1
1 3 0
0 2 2
2 2 3
0 0 0
10 7
3 0 1
0 3 3
4 2 1
1 2 3
2 3 4
1 0 1
4 2 0
0 0 4
1 4 4
2 4 1
10 4
0 1 0
0 3 5
3 4 1
0 3 3
5 0 5
4 4 3
0 3 4
4 1 3
1 5 2
1 3 2
10 4
4 4 4
1 3 0
1 1 0
2 3 1
3 2 2
3 0 4
4 1 3
4 3 0
3 4 1
4 3 1
10 4
3 0 2
2 2 0
0 2 3
1 3 1
0 3 0
1 0 2
1 1 1
3 0 0
1 2 2
3 0 3
10 5
1 5 0
3 4 5
0 5 3
0 2 1
1 0 5
5 5 2
1 5 3
1 4 1
2 0 4
0 5 1
10 4
0 0 1
2 0 2
2 2 0
0 1 2
2 0 0
1 2 0
1 1 0
0 1 1
1 1 1
2 2 2
10 5
3 1 1
2 0 3
1 4 0
3 4 2
2 2 3
4 1 3
4 3 4
0 1 4
2 4 0
0 4 4
10 6
4 1 3
0 1 1
2 2 1
3 1 1
4 2 4
1 1 3
2 2 4
0 1 4
0 2 2
3 2 0
10 2
1 0 2
1 1 1
2 2 0
2 0 2
1 0 1
0 0 2
0 1 2
1 1 0
1 2 0
2 1 1
10 9
5 2 1
1 3 2
4 5 4
1 0 5
5 3 3
0 5 4
2 3 2
5 3 1
4 3 4
5 2 2
10 2
3 4 3
1 3 1
3 0 1
3 3 4
2 3 1
2 4 3
2 0 2
3 4 0
2 0 1
0 3 1
10 7
3 0 1
0 2 0
2 2 0
1 0 2
1 2 0
1 2 1
1 0 3
3 0 3
1 1 3
0 3 1
10 6
4 4 2
3 2 4
0 0 3
2 0 4
1 1 0
4 3 2
2 0 2
1 3 3
0 0 4
4 3 4
10 4
0 2 0
1 0 0
0 1 1
2 2 0
0 0 1
1 2 2
1 0 2
1 0 1
1 1 1
2 0 2
10 3
0 1 1
2 3 2
1 0 1
1 0 2
3 1 0
0 3 0
1 2 0
2 1 1
3 0 0
1 1 1
10 9
3 2 1
1 3 1
1 1 0
0 2 3
3 0 1
1 2 1
3 0 2
2 3 1
2 0 3
2 0 2
10 3
3 1 1
1 2 0
2 3 2
0 0 2
1 2 1
0 2 1
0 3 0
1 3 3
1 2 2
2 0 3
10 5
0 0 1
0 2 2
2 1 3
0 0 3
0 3 2
3 1 0
2 3 1
3 0 2
2 0 3
0 3 3
10 6
4 0 4
1 3 4
2 0 2
0 2 4
2 4 2
1 1 2
2 2 1
3 0 2
4 3 4
4 0 2
10 2
4 0 0
1 3 1
2 4 4
0 4 4
0 2 4
3 2 3
4 4 2
1 2 1
4 2 0
1 1 0
10 4
2 1 2
0 2 1
1 1 0
0 2 0
2 1 1
0 0 0
1 2 0
1 0 0
1 2 1
2 0 1
10 4
3 1 0
1 4 2
3 4 2
1 2 2
2 1 3
4 1 1
1 1 3
1 2 3
3 3 0
1 3 2
10 7
0 0 5
3 1 2
2 0 5
4 3 4
5 5 1
1 3 2
2 2 2
3 2 1
4 4 1
4 2 3
10 2
4 4 5
2 1 0
0 4 1
3 3 5
2 0 4
3 5 4
1 1 4
5 3 2
1 4 2
3 5 1
10 3
5 1 1
2 0 1
0 0 2
4 1 3
0 4 0
1 3 0
3 1 5
5 1 0
3 1 2
2 2 2
10 7
2 1 2
2 1 1
0 2 0
0 0 2
0 0 1
0 2 1
1 1 2
0 1 1
1 1 1
2 2 2
10 4
2 3 0
3 2 3
1 2 3
2 2 1
4 1 4
0 4 4
3 4 0
2 3 3
0 3 3
3 0 4
10 5
2 1 1
0 0 2
3 0 2
2 0 2
3 2 3
0 3 3
1 2 2
3 1 3
3 0 0
1 2 3
10 2
0 1 2
2 2 0
0 1 0
2 0 2
0 2 2
1 2 0
2 2 1
1 0 1
2 1 2
2 0 0
10 6
0 1 3
2 3 0
3 2 0
3 1 1
0 1 2
0 1 1
3 3 2
2 1 2
0 3 0
3 2 1
10 3
4 4 3
4 3 4
4 1 3
4 4 1
1 4 3
4 4 2
1 1 3
4 3 0
1 0 1
3 1 2
10 9
4 4 4
3 3 0
2 4 0
0 4 4
3 4 3
0 3 2
3 0 2
0 1 2
2 3 4
0 2 1
10 3
0 0 2
3 1 3
0 0 3
3 1 0
0 3 0
0 1 3
3 2 0
2 2 1
3 2 3
0 2 0
10 4
3 0 0
2 3 5
0 5 4
5 2 4
3 1 5
5 1 0
4 5 3
2 0 1
5 2 0
5 3 5
10 7
3 1 4
4 3 0
3 0 1
0 2 0
2 2 1
3 4 0
4 4 4
2 2 0
4 2 2
3 1 2
10 8
2 1 1
2 0 1
0 1 1
1 0 0
0 0 2
1 1 1
1 0 2
2 1 2
0 0 1
1 2 2
10 5
1 2 2
2 1 1
2 0 0
1 1 0
1 1 1
2 1 2
0 2 0
2 2 1
0 0 2
0 0 1
10 4
4 3 4
2 1 5
1 0 3
1 0 4
0 5 3
3 1 4
2 1 3
5 2 2
4 0 5
5 0 5
10 5
4 2 2
4 3 2
2 3 2
4 1 0
1 1 1
1 1 3
4 1 2
0 0 2
0 2 1
4 0 4
10 5
0 0 1
2 1 2
0 1 2
2 1 1
2 2 2
1 2 1
0 2 1
2 0 2
1 1 1
0 2 2
10 7
2 1 2
4 1 2
1 4 4
1 0 3
1 0 0
4 0 4
3 1 5
0 4 2
4 5 4
5 0 3
10 8
2 2 1
0 2 1
3 2 1
0 2 0
3 1 0
2 0 3
3 1 2
2 1 1
1 2 2
3 3 1
10 2
0 1 0
2 0 0
0 0 1
1 1 2
1 0 1
0 1 2
1 2 0
0 0 0
2 2 2
0 0 2
10 9
1 1 0
2 1 0
0 1 1
0 0 1
2 2 2
1 2 1
1 2 0
1 0 1
1 2 2
0 2 1
10 3
3 1 0
0 2 3
1 0 3
2 2 1
1 2 0
0 0 2
0 0 1
3 2 0
0 0 0
3 0 1
10 5
1 0 1
0 0 1
2 0 1
2 2 2
0 2 0
0 2 1
1 2 1
2 0 0
1 2 2
1 1 1
10 9
3 2 1
0 3 2
2 2 1
2 2 3
3 3 3
0 1 1
0 3 0
3 3 2
0 2 0
0 1 2
10 9
5 0 5
1 0 3
1 5 0
1 4 2
0 0 2
0 0 1
4 1 3
4 3 1
3 0 0
0 4 3
10 7
1 0 3
0 3 3
1 3 3
0 0 1
2 1 2
2 2 0
3 1 2
2 0 1
0 0 3
1 2 2
10 3
1 2 1
4 3 4
3 2 2
5 2 0
5 0 5
5 5 2
1 1 2
1 1 1
1 5 3
5 3 2
10 2
1 5 1
5 5 5
5 2 5
4 1 3
2 2 2
0 1 2
5 3 1
4 3 2
5 5 1
4 3 3
10 9
3 3 0
0 1 0
0 2 2
0 0 1
3 2 0
3 1 2
0 2 3
0 0 2
1 2 1
2 0 2
10 7
0 5 1
1 1 0
3 2 5
5 4 5
3 3 3
5 0 4
5 3 1
3 1 3
0 0 1
0 3 2
10 2
1 0 1
0 3 0
0 2 2
2 1 0
1 2 1
3 1 3
2 3 3
0 3 3
1 0 2
2 0 0
10 3
0 2 2
0 1 2
2 1 2
0 0 2
0 1 0
2 2 2
0 0 0
1 1 0
0 2 1
1 0 1
10 4
2 2 2
0 3 2
0 0 2
3 2 0
0 1 1
0 0 3
0 3 0
1 1 3
1 2 1
2 3 0
10 8
0 0 0
2 1 2
0 2 2
2 3 3
3 0 3
2 3 1
3 2 0
0 2 0
3 1 3
2 1 0
10 6
0 0 0
0 1 1
2 2 1
1 2 2
2 0 2
2 1 1
0 1 0
2 2 2
1 2 0
1 1 2
10 4
1 0 0
0 0 2
2 0 1
2 2 0
1 0 2
0 2 1
2 1 2
0 2 0
2 2 2
1 2 1
10 7
2 0 3
4 4 1
0 1 4
3 0 4
4 1 1
1 1 3
0 2 0
1 0 0
3 1 3
2 2 2
10 6
1 4 5
0 5 0
2 0 1
0 0 0
0 2 1
3 3 0
4 0 5
4 5 2
5 0 3
5 3 1
10 5
0 2 2
4 4 4
4 2 2
2 1 1
3 2 0
0 2 3
3 4 2
2 4 2
3 2 1
4 4 1
10 7
2 1 0
0 0 0
1 0 0
2 0 0
0 1 1
1 2 0
2 1 1
1 2 2
0 0 2
0 2 2
10 8
0 1 0
0 0 2
3 4 2
2 2 2
5 4 3
0 4 2
4 3 1
2 4 2
1 4 3
1 5 3
10 6
1 0 1
2 1 0
1 2 1
2 1 1
0 1 0
0 0 1
0 0 0
1 0 2
1 1 1
0 1 2
10 7
2 2 3
2 1 4
1 4 3
2 3 2
3 3 4
0 2 4
0 2 5
3 2 2
1 3 4
3 5 4
10 4
5 3 5
3 0 3
5 4 4
1 2 5
4 4 5
2 3 3
1 2 3
2 1 2
1 3 5
4 3 1
10 4
0 5 1
4 0 2
5 0 4
3 5 1
0 2 0
3 5 5
3 4 4
2 5 2
3 5 0
1 0 1
10 5
5 5 2
0 0 5
2 5 4
4 4 2
4 1 4
1 4 2
5 4 0
1 1 5
0 2 4
0 2 2
10 5
2 2 1
2 1 0
2 2 0
3 1 1
1 0 4
2 0 1
1 3 4
1 4 3
0 0 0
0 4 1
10 8
2 0 0
2 0 2
0 1 0
1 1 2
0 0 1
1 2 2
1 2 0
2 2 2
0 2 2
1 0 1
10 8
2 4 3
0 1 1
3 0 1
2 4 4
3 1 3
4 2 3
1 3 4
4 0 4
2 4 0
0 4 3
10 8
3 2 1
2 2 1
3 0 2
2 1 3
3 2 3
0 1 2
0 2 3
2 3 2
3 1 2
3 1 3
10 3
0 4 2
3 1 4
2 0 4
4 3 4
4 3 0
4 1 4
2 2 1
4 0 3
1 3 2
3 0 2
10 9
3 1 3
3 2 3
2 1 1
2 2 1
3 3 0
3 0 3
0 3 2
0 0 3
1 3 0
0 2 2
10 6
2 1 3
1 1 2
1 0 1
2 2 2
1 1 0
1 2 0
1 1 1
2 1 0
3 0 1
3 2 0
10 4
0 0 0
1 0 3
2 0 3
0 1 0
2 0 0
3 2 1
2 2 2
1 1 3
2 1 1
1 3 2
10 9
0 2 2
0 0 1
1 0 2
1 1 2
2 2 2
0 1 2
1 2 2
0 1 1
0 0 0
2 2 1
10 8
1 1 3
3 2 3
2 0 3
0 3 0
3 1 2
2 3 3
1 2 3
1 0 1
0 3 2
0 2 3
10 7
1 0 2
2 1 1
2 2 1
1 0 1
2 1 0
0 2 2
2 1 2
0 0 1
0 1 2
1 2 0
10 9
0 2 2
2 1 0
2 1 2
1 2 1
2 2 2
1 0 2
1 2 0
2 1 1
2 2 1
1 1 1
10 9
3 0 2
4 4 3
1 4 2
0 3 1
3 1 4
2 0 2
1 1 4
0 1 0
1 0 2
0 3 4
10 5
1 0 0
2 0 0
2 1 0
1 2 1
1 2 2
1 1 2
1 0 1
2 0 1
2 2 2
0 1 1
10 5
1 3 3
0 3 1
3 1 0
1 0 3
3 2 3
3 2 1
0 3 0
0 0 1
2 0 3
1 0 0
10 8
1 0 1
1 2 0
0 2 1
2 2 0
0 0 2
2 0 0
2 1 0
0 2 0
1 1 0
2 2 2
10 3
0 2 0
1 0 2
2 1 0
1 2 1
1 0 1
0 0 2
0 1 1
0 1 0
2 2 2
2 0 1
10 5
1 1 2
1 0 1
2 0 2
1 2 1
1 4 2
3 0 1
4 3 1
1 3 0
1 4 4
1 3 4
10 3
3 5 5
0 1 5
0 5 5
0 3 0
2 1 3
3 5 0
1 3 0
3 5 1
4 2 3
2 5 5
10 5
1 2 1
3 0 4
1 4 4
3 2 2
0 2 4
2 3 2
0 2 3
1 4 3
2 4 0
4 3 4
10 7
1 2 0
1 3 3
3 1 1
0 2 2
1 1 1
2 1 0
2 0 0
3 1 3
2 3 2
3 3 1
10 4
5 2 0
3 0 0
2 3 1
3 5 1
1 0 0
2 3 3
5 3 0
0 1 3
5 2 3
2 0 5
10 8
1 2 1
0 2 1
0 1 1
0 0 0
1 0 1
0 0 2
1 2 2
0 2 2
0 1 2
0 1 0
10 9
3 0 3
1 3 2
4 2 3
2 1 0
1 3 4
0 0 0
0 0 3
1 3 1
3 0 4
4 0 2
10 9
2 3 3
2 0 3
2 1 1
0 0 1
0 2 2
4 2 3
1 3 2
1 0 3
1 4 0
2 2 2
10 2
3 1 0
1 4 4
4 3 2
3 1 2
1 0 0
2 4 1
1 1 2
2 3 3
0 0 1
4 2 4
10 2
2 0 1
3 2 0
2 3 3
2 0 2
2 1 0
0 0 1
3 0 2
2 1 3
2 3 0
1 0 1
10 5
2 1 0
0 0 3
2 0 2
2 3 0
3 2 3
1 0 0
0 1 0
1 0 1
2 2 2
2 0 0
10 2
1 2 1
1 2 2
1 1 0
1 0 1
0 0 0
2 0 1
1 1 2
2 1 0
2 0 2
1 2 0
10 5
0 1 4
1 0 2
1 4 2
2 3 3
3 4 3
2 2 0
4 3 4
1 0 1
2 4 3
3 0 0
10 2
3 5 3
2 5 5
2 2 5
4 5 1
5 1 0
5 3 4
4 4 5
5 2 1
4 0 2
0 1 1
10 4
2 5 4
2 2 2
5 5 4
3 5 3
0 2 2
5 4 4
2 1 3
3 2 1
0 4 4
5 5 1
10 8
5 2 5
0 4 4
3 0 0
5 3 5
3 2 1
0 0 3
5 0 3
4 5 0
1 2 4
4 4 3
10 3
1 2 2
3 1 3
3 3 1
1 0 0
0 2 0
0 3 0
3 1 1
3 3 2
1 3 3
0 2 3
10 4
0 0 3
1 4 0
3 0 2
2 1 0
3 0 3
4 3 3
4 1 1
2 3 3
2 0 0
1 4 3
10 9
4 3 4
3 1 4
1 4 3
3 3 0
3 1 2
4 0 1
4 1 3
2 4 2
1 4 0
4 3 0
10 7
1 3 0
1 0 3
1 1 2
3 3 1
1 0 1
0 1 2
3 3 0
0 1 1
1 3 1
0 3 0
10 6
0 2 1
1 1 4
5 2 4
2 0 4
2 3 5
2 1 4
1 3 5
5 1 5
0 3 3
0 2 0
10 2
4 4 0
2 1 3
3 4 3
0 1 4
2 4 1
1 3 1
3 2 0
2 0 4
3 4 0
2 4 3
10 5
4 0 4
4 0 1
4 4 3
3 3 2
2 3 4
4 0 0
2 1 4
0 4 0
4 3 2
4 2 0
10 9
4 4 1
0 4 4
3 2 3
2 0 2
0 0 1
2 2 2
0 4 0
4 4 2
1 0 2
2 2 1
10 3
3 3 4
4 3 3
3 0 1
2 4 2
2 1 2
1 0 1
3 3 1
1 3 1
1 2 4
3 0 4
10 3
2 0 4
2 2 2
5 3 3
5 1 2
1 5 1
4 5 2
5 0 5
0 3 1
3 4 3
2 3 3
10 2
4 4 2
3 2 3
5 1 2
4 5 1
0 4 4
0 0 5
2 2 4
2 0 5
2 5 5
5 4 2
10 9
2 3 1
2 4 2
2 2 3
4 2 4
0 1 0
3 4 2
4 4 1
3 4 4
2 0 0
1 4 3
10 6
1 5 0
3 4 5
4 1 1
1 4 3
3 3 3
0 2 0
5 0 3
5 4 1
3 2 0
4 2 5
10 3
0 0 2
1 1 3
0 3 1
3 3 1
2 1 2
0 1 2
2 0 3
3 2 0
2 0 1
3 3 3
10 4
2 1 3
2 1 2
5 3 3
0 4 4
3 4 1
3 2 2
2 3 0
3 1 5
3 0 3
0 0 0
10 3
3 2 2
1 0 1
3 3 0
1 2 3
2 2 0
3 2 3
1 0 0
2 2 3
2 2 1
3 2 0
10 7
3 3 0
0 0 3
1 0 4
2 0 1
1 3 0
2 4 3
0 1 3
0 0 2
4 3 4
1 3 4
10 6
3 3 2
1 1 1
1 1 2
3 2 3
4 3 0
1 1 0
2 3 2
3 2 1
4 2 1
2 4 4
10 8
0 0 0
1 0 3
2 1 3
3 1 4
2 3 3
2 2 0
2 4 1
0 4 0
4 0 3
3 1 3
10 7
2 0 2
1 2 2
1 1 0
0 0 0
0 1 0
1 1 1
2 0 1
2 2 2
0 2 0
2 1 1
10 9
1 0 2
0 0 2
1 2 2
1 0 1
1 2 1
2 1 0
1 1 1
0 2 2
0 1 0
0 1 2
10 2
4 1 1
3 3 3
1 4 3
0 0 1
1 4 4
1 1 4
4 2 2
0 3 4
0 2 4
3 4 0
10 4
5 1 4
3 4 0
3 2 4
1 0 5
5 4 1
1 5 3
5 4 0
4 1 0
0 4 5
4 5 3
10 8
0 1 1
2 0 0
2 2 0
0 1 0
2 1 1
2 1 0
1 0 1
2 0 1
0 2 0
0 0 0
10 9
0 2 1
2 1 2
0 0 1
0 0 0
1 1 2
2 0 1
2 2 1
2 2 0
2 0 2
0 1 0
10 7
1 4 4
3 2 0
2 4 2
1 0 2
2 1 1
0 4 2
4 1 4
3 0 4
0 2 2
0 0 2
10 3
3 4 0
4 4 0
4 4 4
5 2 3
2 1 4
5 4 4
4 5 5
5 2 5
4 3 1
5 4 1
10 6
1 0 0
0 0 0
0 2 0
0 0 2
1 2 1
1 0 2
1 1 2
2 0 1
0 2 1
2 1 2
10 9
3 2 0
0 3 3
2 2 1
2 2 0
1 0 2
2 0 2
1 1 1
0 1 2
0 1 3
1 1 0
10 6
4 4 0
4 4 2
2 4 0
1 3 0
3 1 2
3 3 0
1 1 4
0 1 0
2 1 1
4 3 2
10 3
3 2 3
2 3 2
1 2 1
1 0 0
1 2 0
3 3 1
1 1 3
1 0 2
0 0 1
0 1 0
10 5
3 1 1
3 1 0
0 3 1
0 0 1
2 0 1
2 0 0
1 0 2
1 1 3
2 1 1
3 3 0
10 7
0 2 0
0 3 1
3 1 4
4 1 1
0 1 1
1 0 4
3 3 2
1 0 3
0 4 4
0 0 3
10 9
0 4 4
1 5 4
1 3 3
0 2 5
5 0 5
2 0 1
4 4 3
1 4 5
0 0 4
0 0 3
10 5
1 0 1
1 2 2
0 1 0
1 3 0
3 4 3
2 0 4
3 2 0
2 0 1
0 0 4
4 1 0
10 6
1 0 1
2 1 0
0 2 2
2 0 2
2 2 0
0 1 0
0 0 0
2 0 0
1 1 2
0 1 1
10 2
0 1 1
2 1 1
1 2 0
1 1 0
2 1 0
2 0 0
2 2 1
0 2 2
0 0 1
2 0 1
10 6
2 0 1
3 2 1
2 1 3
0 2 1
3 3 0
0 2 2
3 1 0
0 3 3
2 1 1
0 3 0
10 4
2 4 0
3 1 3
3 3 0
4 1 3
4 1 4
0 2 2
2 3 1
0 0 0
1 0 3
3 2 0
10 3
0 2 0
1 0 0
2 1 2
2 2 2
1 2 1
2 2 0
0 0 0
0 1 2
2 0 2
1 2 2
10 8
0 1 0
2 0 1
2 2 2
1 1 2
1 2 2
1 1 1
1 2 1
0 2 1
2 2 1
2 1 0
10 7
4 4 3
2 2 4
4 3 0
1 2 1
2 2 3
2 4 4
0 1 2
0 3 3
4 3 1
1 3 3
10 5
2 1 0
0 0 2
2 1 2
1 0 0
1 2 1
2 2 1
1 2 0
2 0 1
1 0 1
0 0 1
10 4
2 4 2
4 1 2
2 2 1
2 2 0
0 1 3
2 0 1
1 1 3
1 0 0
2 0 0
2 4 4
10 2
2 5 1
2 5 3
1 2 3
2 5 5
1 4 3
0 5 1
1 5 3
1 3 1
2 5 4
5 4 1
10 2
0 0 1
1 4 2
0 2 1
4 4 1
4 3 3
4 3 0
4 3 1
1 4 4
3 3 0
2 4 4
10 4
3 1 1
2 2 1
3 4 4
4 4 0
4 0 0
5 2 1
4 5 1
5 3 3
0 3 1
0 5 4
10 6
2 2 0
1 4 4
4 2 2
2 1 4
4 2 0
3 4 3
3 4 4
3 2 1
1 3 1
1 2 1
10 7
5 0 3
1 1 1
5 3 5
1 2 2
2 2 1
0 3 5
3 0 4
3 0 0
0 0 2
2 1 0
10 5
2 2 1
1 3 1
0 1 3
0 0 3
2 1 3
0 0 2
1 1 0
3 2 1
3 2 2
0 3 1
10 9
1 2 0
0 2 0
2 0 0
2 1 1
1 0 1
1 2 1
0 1 2
1 1 1
2 0 1
1 0 2
10 2
0 0 0
2 0 3
2 0 2
0 4 5
5 0 2
1 4 1
2 0 5
3 0 0
2 1 1
3 5 4
10 3
3 1 4
1 1 1
3 1 3
4 4 3
2 2 2
3 0 1
3 2 0
3 4 0
4 4 2
4 4 0
10 6
0 2 1
0 1 2
2 2 2
0 2 2
1 0 1
0 2 0
1 2 2
2 1 0
2 2 0
1 0 2
10 4
0 5 1
4 2 3
0 0 4
3 0 3
2 0 5
1 2 4
0 0 1
2 3 4
1 0 0
2 1 0
10 7
1 2 2
2 0 1
1 1 0
2 2 1
0 2 0
0 2 1
2 2 2
0 1 2
0 1 1
2 0 2
10 8
3 0 1
3 2 0
0 0 1
0 2 2
0 3 3
3 2 2
3 1 2
1 0 1
1 0 0
2 1 3
10 4
2 3 3
3 0 2
2 3 0
0 0 0
3 3 0
1 2 1
2 2 3
1 3 2
1 1 1
3 0 0
10 6
2 2 4
4 0 3
4 3 4
2 4 1
3 1 2
2 0 1
1 4 0
0 1 0
4 3 2
4 4 2
10 8
5 3 1
1 1 5
0 5 3
1 5 3
5 1 1
4 4 3
4 2 1
1 2 4
3 3 0
3 5 2
10 7
1 1 1
3 0 2
1 0 1
2 3 0
3 3 2
2 1 3
1 0 0
1 0 3
1 0 2
3 4 2
10 2
4 0 4
1 0 1
4 1 3
3 3 2
2 2 1
2 3 1
4 2 4
3 1 2
1 1 3
4 2 0
10 4
2 2 4
2 0 3
1 4 4
4 0 4
2 4 0
3 1 0
3 4 1
0 2 2
4 2 0
1 3 3
10 9
0 0 1
2 3 2
2 3 1
3 4 3
5 4 1
1 5 2
1 4 5
1 2 4
2 1 1
1 5 1
10 5
2 1 0
0 1 1
1 1 0
0 2 0
1 2 2
2 1 2
2 0 0
1 0 0
0 2 2
1 1 2
10 2
0 1 0
1 2 2
0 0 2
2 0 0
2 2 1
2 0 1
0 2 0
2 2 0
2 0 2
1 1 1
10 6
1 2 2
2 1 1
1 1 1
2 0 1
0 1 1
1 0 1
0 1 2
2 2 0
1 0 2
0 0 0
10 2
3 2 5
0 2 0
4 2 5
2 1 4
2 2 1
0 2 1
3 3 3
2 1 1
5 5 5
1 5 2
10 7
1 0 0
2 1 0
2 1 2
2 0 2
0 1 0
1 2 0
1 2 2
0 0 2
0 1 2
1 1 0
10 7
1 1 2
0 0 1
1 2 0
2 0 1
1 0 1
2 1 2
0 1 1
0 2 0
2 0 2
0 2 2
10 3
0 1 2
1 2 1
0 1 1
2 2 0
0 0 0
2 0 0
2 0 2
2 0 1
2 1 1
1 2 2
10 4
2 0 1
1 0 2
0 1 2
2 1 0
1 1 1
0 0 2
2 1 1
1 0 1
0 0 1
2 2 0
10 8
1 4 4
3 3 3
3 3 0
0 4 1
1 3 1
4 0 0
0 3 1
4 0 1
1 1 2
3 1 2
10 4
0 0 2
0 2 1
0 0 1
3 1 2
2 3 1
1 3 3
3 2 1
2 2 1
3 2 0
1 3 2
10 3
0 0 1
2 0 2
2 2 2
2 1 2
2 0 1
0 2 2
2 1 1
0 2 0
2 1 0
1 0 1
10 2
0 1 0
0 0 1
2 3 0
0 3 1
2 2 3
0 3 0
3 2 0
2 1 0
3 0 0
2 1 3
10 6
3 0 1
2 1 0
1 3 1
4 0 1
1 1 3
2 1 1
0 3 2
4 1 0
0 2 3
1 0 3
10 4
4 3 2
5 3 5
3 4 5
2 3 2
5 1 3
3 2 3
5 3 1
0 3 3
2 4 3
4 2 1
10 8
4 4 0
3 4 0
2 1 0
1 4 3
0 5 2
3 0 4
5 3 5
0 4 2
0 0 5
4 1 0
10 3
2 1 1
0 2 2
0 3 2
2 0 2
3 1 3
3 3 2
2 2 3
2 0 1
0 0 2
3 1 0
10 3
3 4 2
1 2 4
0 5 0
3 4 1
3 1 0
3 3 0
4 2 4
1 3 5
1 4 2
5 2 0
10 5
4 1 0
0 3 4
0 3 3
4 1 4
1 1 3
2 4 0
1 4 4
0 3 1
0 2 4
3 4 2
10 7
0 0 1
1 1 1
2 2 1
0 2 2
2 2 0
2 0 2
2 1 0
0 0 2
2 0 1
2 1 2
10 8
1 1 1
2 1 0
0 2 0
2 0 1
2 0 0
1 0 0
1 0 2
1 2 0
1 1 0
0 1 1
10 3
2 1 2
2 2 1
2 2 2
1 1 1
2 1 1
0 0 2
1 0 1
0 1 0
0 1 2
0 2 1
10 3
4 4 0
3 0 4
0 0 1
4 2 2
3 2 4
0 2 1
1 1 3
0 2 3
4 0 3
1 1 4
10 4
3 2 3
1 1 3
1 1 0
4 1 1
3 0 0
2 1 4
2 3 4
2 4 2
4 3 2
3 3 4
10 4
3 4 1
2 0 2
0 3 0
4 0 3
1 2 2
1 4 0
4 1 3
4 1 0
2 2 4
4 2 1
10 5
0 1 3
0 0 3
3 3 0
2 0 3
4 1 2
3 0 4
2 1 0
2 3 0
4 1 0
0 3 4
10 7
2 1 1
3 0 1
0 0 2
0 0 3
0 3 2
0 1 3
0 1 1
1 3 3
3 2 1
1 0 1
10 4
2 0 1
2 0 3
1 1 1
0 2 3
2 3 2
0 1 2
3 0 2
0 3 1
1 3 2
1 0 2
10 5
1 1 0
1 2 2
0 3 5
3 1 0
1 0 4
0 4 0
4 2 4
3 2 2
5 5 2
5 2 3
10 4
1 1 4
0 0 3
1 3 4
1 1 0
0 3 2
2 4 1
0 0 4
0 2 1
2 2 1
4 3 1
10 5
0 1 2
1 2 2
2 0 0
0 1 0
1 1 2
2 1 2
0 0 2
1 1 1
0 1 1
1 1 0
10 4
5 1 2
4 3 0
1 0 4
2 3 3
4 0 1
2 0 4
4 4 2
2 5 0
2 1 1
3 3 1
10 9
1 2 0
0 0 1
1 2 1
2 1 2
0 2 1
2 2 2
0 0 0
1 2 2
0 1 0
2 1 1
10 5
2 1 0
2 1 2
2 2 2
1 1 1
1 1 0
2 1 1
1 0 1
0 1 0
0 2 1
2 0 2
10 3
3 5 5
5 0 4
4 3 0
5 3 4
0 2 3
1 5 3
2 4 3
3 0 1
1 3 3
5 1 3
10 6
0 4 0
4 2 3
2 0 3
3 1 1
3 2 2
0 0 0
1 0 1
4 2 1
2 4 2
0 4 1
10 3
4 0 1
3 4 1
3 0 2
2 4 1
1 0 4
4 2 1
1 2 4
3 3 2
3 3 0
4 4 2
10 5
1 2 0
0 0 2
1 2 2
0 2 2
2 0 2
0 2 0
2 1 2
0 2 1
1 1 2
0 0 1
10 8
2 3 3
3 0 0
0 0 2
1 2 3
0 0 1
3 2 2
1 0 3
3 1 3
2 1 0
0 0 0
10 5
1 2 1
0 0 0
2 0 2
0 1 0
2 1 1
0 1 2
2 0 1
2 2 2
2 2 1
2 1 2
10 2
3 3 3
2 2 1
2 3 3
3 3 0
3 0 0
2 0 0
2 2 3
2 2 0
1 0 3
0 0 0
10 7
2 5 0
3 2 2
4 3 2
3 3 4
3 3 1
5 1 1
3 0 3
5 5 5
0 0 2
2 2 1
10 5
2 3 0
0 1 1
2 1 3
3 1 0
2 1 0
2 3 2
1 0 0
3 0 0
2 1 2
0 2 2
10 7
2 0 2
0 3 3
3 0 0
0 2 3
1 3 1
2 2 1
0 0 1
3 2 1
3 0 2
1 2 1
10 6
0 2 4
1 1 3
1 2 2
2 2 2
0 4 2
1 1 0
4 3 1
4 1 1
2 1 4
2 2 4
10 6
4 1 0
3 0 2
4 0 3
1 1 0
0 0 1
0 2 2
2 4 4
2 1 0
0 2 0
1 0 4
10 3
0 2 2
1 1 1
0 1 2
1 2 0
1 0 1
1 0 0
2 2 2
1 1 2
2 2 1
2 1 0
10 6
0 2 3
0 3 0
3 3 0
3 2 0
2 2 1
1 1 0
2 1 0
3 2 3
0 2 0
0 2 2
10 4
1 4 3
3 3 2
3 2 2
5 3 2
0 4 5
3 4 5
2 1 4
3 2 3
2 4 1
1 5 3
10 5
0 1 0
5 4 1
2 1 3
0 3 2
0 5 4
3 5 5
5 0 3
4 0 5
3 5 0
1 1 0
10 4
4 4 3
0 2 4
3 2 2
3 4 4
0 5 4
5 4 0
4 0 5
0 2 3
1 0 4
0 3 2
10 7
2 0 2
2 2 2
0 0 4
3 2 4
0 2 3
4 0 4
1 4 4
3 0 0
2 2 1
1 1 4
10 9
1 5 3
2 3 3
5 4 5
2 4 4
0 2 4
3 4 5
2 4 2
3 0 2
2 3 4
4 2 0
10 4
5 0 5
2 3 5
0 3 0
1 5 5
1 1 4
1 4 5
0 3 4
3 5 1
4 0 2
0 3 1
10 2
2 1 0
3 2 2
3 0 3
1 0 2
2 3 2
3 1 3
3 2 0
2 0 3
1 1 1
3 2 1
10 5
2 1 3
2 0 3
3 0 1
0 0 1
2 2 3
0 1 1
0 1 3
1 1 1
3 3 1
2 1 0
10 4
0 2 2
1 2 0
0 1 2
2 0 1
1 2 1
0 2 3
0 1 1
3 1 0
0 0 2
0 2 0
10 8
3 1 0
3 3 1
1 2 0
3 3 0
0 2 1
1 1 2
1 3 2
2 1 0
1 1 0
2 3 3
10 3
2 3 0
1 1 2
3 3 3
2 2 1
1 3 0
3 2 3
0 1 1
0 2 0
3 0 0
3 0 3
10 4
5 3 1
2 1 1
4 0 5
3 5 1
0 4 2
4 5 1
0 0 1
1 4 5
5 3 4
2 5 4
10 4
3 4 3
5 3 2
1 5 5
3 4 1
2 4 2
4 0 2
5 5 5
0 5 4
0 5 3
5 3 4
10 8
0 0 2
1 0 2
2 2 2
1 0 1
2 0 1
1 2 2
0 1 0
1 1 0
0 0 0
0 1 2
10 5
2 2 3
1 3 2
2 0 3
2 3 1
0 2 1
2 2 2
0 3 2
0 1 1
1 0 2
1 1 2
10 8
2 2 2
0 1 1
2 1 1
1 2 1
1 2 0
1 1 1
0 0 0
2 1 2
1 1 0
1 0 1
10 4
1 2 0
0 1 0
0 0 1
1 0 0
1 0 2
0 1 2
1 0 1
2 1 1
1 2 1
1 1 2
10 9
0 1 0
3 0 2
1 0 2
0 2 1
2 3 3
1 2 1
0 2 0
2 3 0
0 1 3
3 3 2
10 8
2 4 1
1 3 3
3 3 0
2 1 5
2 0 2
2 2 0
4 2 5
0 4 5
1 4 2
3 2 2
10 2
3 0 0
1 1 0
1 4 2
1 3 3
1 1 4
0 3 0
2 3 3
2 2 0
0 2 2
0 4 2
10 3
4 1 3
0 4 4
1 1 5
0 1 5
2 3 2
0 4 0
4 2 0
2 0 0
2 2 2
4 2 1
10 5
2 2 0
1 2 1
0 1 2
0 0 0
2 1 1
2 0 0
2 0 1
1 0 1
0 2 1
1 1 0
10 5
3 3 2
0 1 2
1 4 2
3 2 3
4 0 4
1 2 1
2 3 1
0 1 1
2 3 0
1 4 0
10 5
4 4 2
2 4 3
3 3 1
1 0 2
0 5 1
5 4 0
2 5 3
4 3 0
3 1 1
4 1 2
10 5
4 2 1
5 5 5
0 0 0
5 5 4
5 1 1
3 5 2
2 3 4
1 5 4
0 4 0
1 2 4
10 2
0 0 0
0 2 2
2 2 1
2 1 1
0 0 2
2 2 2
2 2 0
1 2 0
2 1 0
1 1 0
10 3
1 2 1
3 4 2
4 3 3
0 2 1
1 0 0
2 0 0
3 1 1
1 1 0
3 3 2
3 1 2
10 6
2 3 2
1 1 1
0 3 2
0 3 1
2 2 3
3 2 2
3 1 0
1 0 0
2 3 1
2 1 2
10 4
2 0 3
1 1 2
3 2 2
3 3 2
3 1 3
1 1 0
2 3 0
0 1 2
0 0 1
3 0 2
10 4
5 2 4
0 1 5
3 4 5
4 5 2
5 5 2
4 0 1
3 3 4
1 4 4
5 3 0
4 4 1
10 2
0 3 2
0 1 0
1 2 1
3 0 0
3 2 1
1 2 2
1 3 1
3 3 0
2 0 1
0 0 0
10 4
2 1 1
2 2 1
1 2 2
2 1 0
2 0 0
1 0 0
0 1 1
2 1 2
0 0 1
2 0 2
10 2
2 1 2
2 3 3
0 1 3
3 0 2
2 3 1
3 3 1
2 3 2
0 0 0
0 0 3
3 2 3
10 4
1 2 2
0 2 0
0 0 1
1 1 0
1 1 1
2 1 1
2 0 0
1 1 2
2 2 0
0 1 0
10 3
2 5 1
0 1 5
1 1 4
4 0 1
2 0 2
1 5 3
4 2 0
5 5 0
3 4 4
2 2 1
10 9
2 2 0
0 0 0
2 1 2
2 0 0
1 1 1
1 2 0
1 0 1
0 0 1
1 0 2
2 2 1
10 9
3 3 1
2 3 3
0 2 1
2 0 3
3 2 3
1 3 2
2 3 1
0 0 0
2 1 3
3 1 0
10 9
3 3 3
1 3 1
1 0 1
3 1 1
3 2 1
0 3 1
0 1 2
1 3 2
3 1 2
1 3 3
10 9
3 0 2
0 1 2
0 3 0
3 2 0
0 1 1
3 1 0
2 3 2
0 1 0
0 3 2
0 0 2
10 9
1 2 2
3 2 3
0 3 2
0 0 3
3 1 0
0 0 2
1 2 1
1 0 1
1 2 0
2 3 0
10 3
0 2 0
3 3 1
0 0 0
3 2 3
3 0 0
2 1 3
1 0 3
1 1 0
0 2 1
1 2 2
10 7
3 3 0
1 2 2
3 3 1
1 1 1
1 2 1
2 3 1
2 1 3
1 1 2
1 1 3
1 0 0
10 8
0 2 1
2 3 1
3 0 1
0 3 3
3 3 2
1 2 0
3 1 3
0 1 3
2 0 2
3 3 3
10 8
0 1 1
1 1 2
0 2 1
2 0 2
2 1 0
0 0 1
0 2 2
1 0 2
1 2 0
2 2 1
10 3
1 0 1
2 1 1
0 1 0
1 1 0
2 2 1
0 1 2
1 2 1
1 1 1
1 1 2
0 0 0
10 7
1 2 2
0 1 2
2 2 1
1 1 2
0 2 1
0 0 2
2 2 0
0 0 1
2 2 2
2 0 0
10 7
1 0 2
0 1 2
2 1 0
2 0 3
4 3 0
1 0 0
4 1 0
1 2 0
0 0 4
0 3 1
10 3
0 1 1
4 1 3
3 1 1
0 0 2
3 3 2
3 0 3
1 4 0
1 4 1
4 4 2
4 3 3
10 4
2 1 1
2 0 1
2 2 0
0 1 1
1 1 0
0 1 0
0 0 2
1 1 2
0 2 1
0 2 2
10 7
1 2 2
1 0 1
2 0 2
3 1 0
1 2 3
0 0 2
1 2 1
0 0 1
3 0 1
2 1 0
10 6
1 0 0
0 3 3
0 0 2
3 4 3
2 4 4
1 3 1
4 3 4
2 2 2
2 1 1
4 0 4
10 5
0 1 2
0 0 0
2 1 0
2 1 2
2 1 1
0 2 1
0 2 0
2 0 1
2 0 2
2 2 1
10 2
0 0 2
0 1 2
1 2 1
1 1 1
2 2 1
0 2 2
1 0 1
1 0 0
2 1 0
0 1 1
10 5
1 0 1
1 0 0
2 1 0
0 0 2
1 0 2
0 0 1
0 2 0
0 1 0
2 0 1
2 0 2
10 7
2 0 1
2 1 0
0 0 1
0 0 0
1 1 1
0 1 2
0 2 1
0 1 0
0 0 2
1 2 1
10 3
3 3 2
0 2 1
0 2 3
4 3 4
3 4 1
4 3 3
1 2 4
1 2 0
3 0 4
0 4 0
10 4
1 0 0
2 4 0
2 0 2
3 1 2
1 3 1
2 3 0
4 4 3
4 0 3
0 0 2
4 4 4
10 6
4 4 3
2 3 0
2 4 2
0 2 2
4 2 2
4 1 1
4 1 2
3 4 4
4 0 4
3 0 0
10 5
1 0 1
1 0 2
2 1 2
0 0 1
2 1 0
0 1 1
0 2 0
0 2 1
2 0 2
2 0 1
10 7
4 2 0
3 2 3
3 1 1
4 4 3
0 0 4
3 4 2
1 1 1
1 1 4
3 1 2
2 3 0
10 3
1 1 0
0 2 2
2 2 2
0 1 1
2 1 1
0 0 2
1 0 2
1 0 1
0 1 2
1 1 2
10 3
2 1 1
0 2 1
0 1 0
1 0 0
1 1 0
2 0 2
1 2 2
0 1 2
1 1 2
0 0 2
10 6
1 2 1
0 3 2
1 3 0
2 2 0
3 0 3
0 2 3
1 0 3
3 3 0
0 2 2
3 1 1
10 5
0 0 2
1 1 0
1 1 2
0 2 2
1 0 0
2 1 0
1 0 2
0 1 0
2 0 1
0 0 0
10 3
2 2 4
4 3 2
0 2 0
2 4 3
2 4 1
0 2 2
4 1 1
2 4 4
1 1 2
0 3 1
10 4
4 4 4
2 2 3
0 4 1
0 2 3
3 0 1
3 0 3
3 4 3
0 2 1
4 2 3
0 1 1
10 9
1 1 3
0 3 3
1 0 3
1 3 0
3 0 0
2 2 3
0 2 3
2 1 2
0 0 3
2 0 1
10 2
0 2 2
1 1 1
2 0 1
2 1 0
1 1 0
2 0 0
2 0 2
0 0 0
2 2 0
0 0 2
10 4
0 3 1
1 0 3
3 2 0
0 0 3
2 0 0
3 2 3
2 1 0
3 3 3
1 2 1
1 1 0
10 4
2 1 0
0 0 0
1 1 1
2 1 2
0 0 1
2 0 1
1 2 0
1 2 1
1 2 2
2 2 1
10 5
4 2 2
0 3 2
1 1 0
2 4 4
4 2 0
3 4 1
0 4 2
1 3 0
0 3 4
2 1 0
10 8
0 0 1
3 1 1
3 1 3
5 2 4
3 3 0
2 2 2
5 2 3
3 5 2
2 2 0
1 3 3
10 2
0 2 0
2 2 2
1 0 0
0 1 1
0 1 0
2 2 1
2 1 0
1 0 2
1 1 2
2 0 0
10 4
3 0 4
2 3 0
4 1 1
2 0 4
2 3 1
2 4 3
2 1 4
0 3 4
4 3 2
2 2 3
10 4
1 2 2
0 0 1
1 2 4
3 3 1
1 3 4
2 4 1
1 0 4
2 3 3
2 1 1
3 1 4
10 3
1 2 1
0 0 3
4 2 1
2 1 3
1 1 4
4 1 2
1 1 2
0 1 4
1 1 0
1 3 1
10 9
2 5 4
3 5 0
5 3 5
1 3 3
4 0 5
4 5 2
1 2 5
2 4 2
0 2 1
4 3 0
10 3
4 2 3
4 4 3
2 3 3
2 1 4
3 3 1
4 2 1
3 1 1
0 2 2
0 3 2
1 4 0
10 8
0 0 2
4 2 4
0 2 0
3 3 1
1 1 3
2 4 1
3 4 2
0 4 4
4 1 3
1 2 3
10 3
4 0 1
4 4 0
3 2 4
3 1 3
2 0 2
3 0 4
1 3 1
2 4 1
0 0 1
1 0 4
10 6
0 1 1
0 2 1
2 1 1
0 0 0
1 2 0
2 1 2
0 1 0
1 2 1
2 0 1
2 1 0
10 5
1 1 2
0 3 0
1 3 0
0 3 2
2 3 2
0 2 1
1 2 1
0 1 0
2 2 2
0 1 1
10 3
0 1 3
3 2 4
2 3 4
3 4 1
1 2 3
0 2 2
5 2 4
5 4 0
4 0 0
2 4 3
10 6
3 2 0
3 2 3
2 1 0
1 2 2
2 2 1
0 2 2
0 1 3
1 0 3
1 2 1
2 2 3
10 8
2 1 0
1 0 2
0 2 3
3 0 2
2 3 0
1 0 3
1 1 0
3 0 0
3 3 0
0 3 1
10 4
2 0 1
0 2 2
1 1 1
1 0 1
2 1 2
0 1 1
0 1 0
0 1 2
0 2 0
1 2 0
10 3
5 0 0
4 5 4
0 4 5
5 2 2
1 3 0
0 2 5
4 5 0
1 5 4
1 4 1
3 3 2
10 9
1 3 1
4 4 0
1 3 0
0 0 4
0 2 4
1 1 0
2 4 0
4 0 2
4 1 1
2 3 0
10 8
3 0 3
3 1 1
3 0 4
0 0 0
1 5 3
0 4 2
3 3 0
3 1 4
1 0 1
1 1 2
10 8
3 3 4
4 1 4
2 3 4
3 1 4
0 1 3
1 3 2
4 4 1
4 1 0
4 2 3
3 4 0
10 3
3 2 3
2 3 3
2 3 0
1 2 3
0 2 2
1 3 2
3 3 0
0 2 1
0 3 2
2 0 0
10 7
0 1 1
0 0 2
0 1 3
0 0 1
0 2 1
1 3 2
0 1 2
3 1 1
2 2 2
2 1 1
10 7
0 2 3
2 3 0
0 1 0
1 2 1
2 1 0
2 2 0
1 1 1
1 3 1
0 3 3
2 3 1
10 3
1 0 2
2 0 5
0 1 1
3 4 0
2 0 4
5 5 3
3 3 2
0 3 2
5 0 4
0 5 2
10 9
0 3 1
0 0 1
1 0 0
2 2 3
1 3 3
2 2 0
3 3 0
1 3 0
3 1 3
0 3 2
10 7
0 0 0
1 1 0
1 1 2
0 1 2
0 2 2
1 1 1
0 0 1
2 1 2
1 0 0
2 0 0
10 8
2 0 5
2 3 1
3 1 5
0 2 5
5 3 1
2 1 1
1 1 4
1 2 1
2 2 3
0 1 3
10 9
1 0 0
2 2 0
1 2 1
1 1 1
1 0 2
1 1 0
2 0 1
2 2 2
2 1 0
1 2 0
10 3
5 3 5
3 2 3
2 2 2
0 0 2
0 1 4
3 0 3
5 2 0
0 2 3
5 1 3
5 3 2
10 9
0 3 3
2 1 3
0 2 1
1 1 1
1 2 2
1 2 1
0 1 0
2 2 0
1 1 2
3 1 1
10 5
1 0 2
0 2 1
0 0 2
0 0 0
1 2 2
2 0 1
2 0 2
0 2 0
0 0 1
2 0 0
10 9
2 2 3
1 1 0
3 3 3
1 2 2
1 3 0
0 1 0
2 3 1
2 1 1
1 3 1
1 2 1
10 2
1 2 3
0 0 3
2 1 0
0 0 1
3 0 1
3 3 2
0 3 1
0 3 0
3 1 0
1 2 1
10 8
0 1 1
1 0 1
2 1 0
0 1 0
1 1 1
1 1 0
2 2 1
0 0 0
1 2 2
2 2 2
10 7
3 1 4
2 0 1
5 0 5
4 4 1
5 4 1
5 5 1
4 2 3
5 1 0
3 5 4
3 0 4
10 9
2 3 1
0 3 2
4 3 1
0 5 1
0 2 2
2 1 0
2 2 2
0 5 0
5 1 3
3 0 0
10 2
0 0 1
1 2 1
0 2 2
1 1 2
0 1 1
2 2 1
1 0 2
2 1 0
2 2 2
1 1 1
10 4
3 1 2
0 1 2
1 0 3
3 4 2
2 4 4
1 2 2
4 1 4
1 3 2
4 0 1
3 4 4
10 9
0 1 2
0 0 1
2 0 2
1 0 1
0 2 1
0 1 0
1 2 0
2 0 0
0 1 1
2 2 1
10 6
0 0 0
2 1 0
2 0 2
1 0 0
0 2 0
1 1 2
1 0 2
2 0 1
0 2 2
2 2 2
10 7
2 1 1
0 1 2
4 1 1
2 1 5
4 2 5
0 4 0
5 2 3
5 3 4
2 2 4
1 5 1
10 8
2 4 0
0 4 4
2 1 4
3 3 1
1 1 2
2 0 1
3 3 0
1 4 2
2 0 3
4 3 0
10 4
2 1 1
0 2 0
0 1 0
1 0 2
1 2 1
1 2 2
2 0 1
2 2 2
1 0 1
2 0 0
10 5
3 0 3
4 4 3
0 2 0
3 3 2
1 0 0
1 4 4
1 4 0
0 4 3
0 0 0
1 1 3
10 5
2 1 2
2 2 1
1 0 1
1 0 2
0 2 2
1 2 0
0 0 1
0 0 2
0 2 0
0 1 0
10 5
2 3 0
0 0 3
0 0 1
1 0 0
1 2 1
1 2 2
1 0 3
0 2 1
1 0 1
1 3 2
10 5
5 3 4
4 1 4
2 0 4
4 5 4
0 4 2
4 1 3
4 5 1
0 5 4
1 0 4
0 1 3
10 4
3 0 2
0 0 2
2 4 4
3 0 4
1 1 0
2 4 3
1 0 3
1 2 1
2 3 0
1 4 1
10 5
0 4 1
0 4 4
3 4 2
2 1 4
4 1 0
3 3 2
1 3 4
0 0 4
3 1 1
2 0 3
10 5
2 2 2
1 1 0
1 2 0
0 1 1
1 1 1
2 1 0
0 1 0
0 2 0
0 2 1
0 1 2
10 6
1 0 2
0 2 0
2 0 1
1 1 0
2 1 0
2 0 2
2 2 0
0 2 2
1 1 1
0 1 0
10 5
0 3 3
2 4 4
3 2 3
2 3 0
0 0 3
3 2 0
0 3 0
4 1 1
2 3 3
4 2 0
10 4
0 3 1
0 2 4
2 4 1
2 4 0
2 5 1
4 1 1
0 0 1
1 4 0
5 4 5
5 5 3
10 4
0 0 1
2 1 2
0 2 1
2 1 0
2 2 2
2 0 0
0 2 0
0 1 2
1 0 2
2 2 0
10 8
3 0 1
4 4 2
1 2 2
2 3 4
2 2 3
3 0 0
1 0 2
2 1 1
2 0 3
2 2 4
10 5
2 0 1
0 0 2
0 1 0
0 1 1
0 2 2
2 1 1
0 1 2
2 2 0
1 1 0
2 2 2
10 2
0 2 1
1 2 2
2 0 2
2 1 0
2 2 0
0 0 2
0 1 1
1 2 0
2 2 2
0 2 2
10 2
0 2 2
2 1 0
2 2 0
1 1 0
2 1 1
2 0 1
0 1 0
0 0 2
1 0 0
2 2 2
10 9
1 0 0
2 1 0
1 2 0
0 1 0
2 1 2
1 2 1
2 0 0
0 0 2
2 1 1
0 2 0
10 6
1 2 1
0 3 4
0 0 0
4 4 2
4 1 1
4 2 1
4 0 0
1 0 2
1 3 3
4 1 0
10 5
0 4 0
2 1 4
4 3 0
4 3 1
1 4 2
4 4 1
3 3 1
1 2 4
0 4 3
2 1 1
10 3
0 3 1
3 2 3
3 3 2
2 3 3
1 3 0
0 0 0
2 1 0
3 1 3
3 0 3
1 3 1
10 4
1 2 1
2 0 1
1 0 2
0 0 2
1 0 1
1 1 2
1 2 2
0 0 0
1 2 0
1 1 0
10 4
3 0 4
1 2 4
2 2 1
2 0 5
3 4 3
2 3 4
0 1 0
4 5 2
4 2 4
4 1 1
10 6
2 0 0
0 2 1
2 0 2
1 1 0
0 0 2
0 2 0
1 1 1
1 1 2
2 2 2
0 2 2
10 4
1 4 4
0 0 0
3 2 4
1 2 2
2 0 0
4 4 2
0 1 4
3 3 4
4 3 0
0 1 2
10 7
4 4 1
1 4 4
0 2 2
3 2 4
0 0 2
0 3 4
3 4 3
4 1 3
0 3 2
0 1 3
10 6
2 2 0
1 0 1
0 1 1
2 1 1
0 0 0
0 0 2
2 0 0
1 2 2
1 2 1
1 1 0
10 9
3 0 0
0 0 0
0 1 2
2 2 3
2 2 1
2 0 1
0 0 2
0 0 3
1 0 3
1 1 0
10 7
4 5 1
4 5 3
5 2 5
0 4 1
2 5 5
5 4 2
0 5 4
5 2 2
2 3 5
2 1 3
10 4
5 5 3
0 4 1
1 1 5
0 4 4
5 2 4
1 1 3
1 3 1
0 2 5
2 5 5
3 4 5
10 4
4 0 1
2 1 4
2 0 3
2 4 4
0 4 2
1 2 3
0 0 0
3 4 0
3 2 0
4 4 0
10 6
1 1 1
0 1 1
1 1 0
2 3 0
0 3 1
1 3 2
3 1 2
1 2 1
3 3 1
3 3 0
10 7
2 2 1
0 0 0
2 1 2
0 1 1
2 0 0
1 2 0
1 2 1
1 0 2
1 1 2
2 1 0
10 4
2 0 0
1 3 3
1 3 1
0 1 0
2 3 1
0 1 3
2 0 2
2 2 3
0 3 2
1 2 2
10 3
1 3 3
1 1 2
1 0 2
1 1 3
3 3 3
0 0 3
3 2 2
3 2 1
3 2 0
3 0 3
10 9
0 4 0
1 3 3
2 2 4
3 0 4
3 3 1
2 0 4
0 3 4
2 3 1
0 1 2
1 2 1
10 7
4 0 1
3 0 0
0 1 1
3 4 1
2 1 0
4 1 0
1 1 2
3 3 3
4 3 4
0 2 2
10 5
3 1 3
1 5 5
5 4 1
1 0 2
4 5 5
4 0 0
4 5 0
1 1 1
5 1 3
0 2 3
10 2
3 0 0
2 1 3
1 2 2
2 2 2
2 3 1
3 2 3
3 1 0
0 2 3
0 1 1
0 3 0
10 5
2 0 2
0 2 2
4 2 0
0 0 4
3 2 2
2 4 2
5 3 0
3 2 0
5 2 3
2 3 5
10 5
1 0 0
2 2 1
1 1 1
0 2 0
2 0 1
0 1 2
0 2 1
2 0 2
2 2 2
1 2 0
10 4
1 2 0
3 4 1
4 3 0
1 1 1
0 4 1
3 1 0
1 0 3
3 2 1
2 0 0
1 1 2
10 3
0 0 0
2 0 0
2 1 2
1 1 0
0 1 2
1 1 1
0 1 1
1 2 0
0 1 0
2 0 2
10 3
2 3 2
0 3 1
0 0 0
1 1 3
0 3 3
3 2 1
3 1 3
1 3 3
1 2 0
2 1 0
10 2
3 4 0
2 0 3
1 2 2
1 0 0
4 2 2
3 0 3
4 3 3
3 2 3
4 1 3
0 0 2
10 7
0 0 4
1 1 2
3 4 2
4 3 3
2 3 3
0 3 3
0 4 1
0 0 0
1 1 3
3 0 3
10 9
1 2 1
4 4 0
3 0 4
2 3 1
4 0 4
2 2 2
4 1 0
0 3 0
2 1 4
2 2 0
10 7
0 5 2
5 4 0
0 0 5
2 0 2
0 3 1
5 0 3
4 4 3
3 3 2
2 5 4
3 1 4
10 4
2 2 0
0 2 2
2 0 1
1 2 2
1 1 3
1 2 3
2 0 3
3 2 3
0 0 2
2 3 2
10 5
2 1 2
0 2 0
1 0 1
1 2 0
0 0 0
0 1 2
2 1 1
1 2 1
1 1 1
2 0 1
10 8
3 2 3
3 3 2
1 1 2
1 2 3
2 3 1
2 2 2
3 3 3
0 0 3
3 0 1
3 1 2
10 9
1 1 0
1 1 2
0 2 0
1 2 1
0 0 1
0 0 2
1 0 1
2 2 1
1 0 2
2 2 2
10 3
0 0 1
4 3 4
0 1 1
4 0 0
3 1 4
3 2 1
3 3 1
3 0 0
0 2 2
3 4 2
10 3
1 5 5
2 5 5
1 0 5
2 2 0
4 4 0
2 1 5
4 5 3
2 4 1
5 4 3
0 5 3
10 3
2 2 2
1 1 2
0 2 2
1 2 0
1 2 1
2 1 0
1 2 2
0 0 1
2 1 1
2 0 2
10 9
0 3 1
2 1 1
1 3 3
0 0 1
3 2 2
2 1 3
3 0 3
0 0 2
2 3 2
1 3 2
10 8
2 4 4
3 3 3
0 0 2
2 1 5
2 2 5
3 3 5
5 3 5
2 4 3
0 1 4
1 4 2
10 3
3 4 3
3 0 1
4 4 0
1 1 4
1 1 2
2 4 3
3 1 3
1 2 2
1 0 1
0 4 0
10 9
3 0 1
1 0 3
1 0 1
1 3 1
2 3 1
1 2 2
0 1 2
2 2 1
3 3 0
3 1 0
10 8
2 0 2
2 0 1
0 1 1
1 0 0
2 2 2
0 0 1
2 2 1
1 0 1
1 1 1
0 1 0
10 8
0 3 3
4 1 3
0 0 3
1 0 0
4 0 2
1 3 2
1 1 1
4 4 0
2 1 1
3 3 0
10 2
0 0 2
3 3 1
3 3 0
0 1 4
2 0 4
3 1 1
5 1 0
0 2 0
2 3 2
0 0 1
10 5
3 3 5
3 0 3
2 5 3
2 4 1
1 2 4
4 5 4
2 3 0
4 5 3
3 1 3
4 4 4
10 3
0 2 3
0 3 1
2 2 2
4 0 4
3 3 1
0 1 1
1 2 4
2 4 0
3 3 0
1 2 3
10 8
3 1 3
1 3 1
2 2 2
1 1 0
0 0 1
3 2 2
2 1 2
3 1 2
1 0 0
0 2 2
10 8
2 0 0
1 1 1
2 0 2
1 2 1
1 0 1
0 2 2
1 1 2
0 2 1
2 2 1
2 0 1
10 9
2 0 2
3 3 1
4 1 1
2 0 1
2 0 4
0 4 2
1 3 2
0 0 4
3 3 3
4 4 4
10 5
3 0 4
2 1 3
0 3 1
1 1 1
1 0 2
2 3 0
0 4 0
0 3 4
3 2 4
1 1 0
10 3
4 4 0
5 3 0
5 3 4
0 2 5
0 5 0
3 5 3
5 1 2
5 2 0
2 3 5
0 5 3
10 3
1 0 0
0 1 0
0 0 2
1 2 0
0 0 1
2 0 2
2 1 2
0 2 2
0 2 0
1 1 2
10 6
1 3 2
0 1 2
0 1 3
1 0 3
3 1 3
2 3 0
0 2 3
1 1 1
2 1 3
3 1 2
10 7
1 1 2
2 0 2
0 2 2
2 2 2
0 1 0
0 0 2
2 1 2
0 2 1
1 2 0
2 0 1
10 3
0 2 2
1 4 3
1 2 2
2 4 1
3 0 0
4 4 0
1 0 2
2 1 3
0 4 2
2 0 2
10 4
2 3 3
3 3 1
1 1 3
0 2 0
2 0 0
2 0 1
2 0 2
2 1 1
2 2 1
2 2 0
10 4
4 5 2
0 2 3
5 3 1
5 2 0
0 1 5
3 4 2
5 2 1
4 1 3
4 5 5
1 4 0
10 8
1 0 0
2 2 1
0 1 1
1 0 2
1 2 1
2 2 2
1 2 0
2 1 2
2 0 0
1 1 2
10 9
4 2 3
3 0 1
3 2 1
0 1 3
4 2 5
4 5 1
4 0 2
2 4 3
5 4 1
3 4 2
10 6
1 2 0
0 2 0
2 0 2
0 2 2
2 0 1
1 1 0
2 2 1
1 0 0
2 1 2
0 0 1
10 6
4 4 0
3 3 4
0 1 2
2 0 4
0 0 2
4 0 1
4 3 4
0 0 4
3 2 2
4 2 2
10 6
2 2 0
2 2 1
2 0 1
0 2 0
2 0 2
0 0 0
0 2 1
0 1 0
2 1 2
2 1 0
10 3
4 2 1
3 1 0
1 2 2
3 3 4
4 1 1
1 1 0
0 3 4
1 3 3
1 2 3
4 3 2
10 3
2 1 2
2 1 0
2 0 1
2 0 0
1 0 1
2 2 1
1 2 1
0 0 2
1 0 2
2 1 1
10 4
2 0 2
2 2 1
1 0 2
1 1 2
2 2 0
1 0 0
1 2 1
2 0 1
2 0 0
0 1 1
10 6
3 5 2
1 4 0
5 0 4
2 4 0
1 4 3
1 1 4
4 1 0
4 3 3
0 5 5
4 5 3
10 3
0 2 0
2 3 4
4 0 0
1 2 0
0 3 0
2 3 3
3 3 2
1 3 4
0 0 3
0 1 4
10 3
3 0 1
3 2 3
1 0 2
1 0 1
3 2 1
2 0 3
2 3 3
2 0 1
1 2 0
0 2 3
10 7
0 0 2
1 2 1
0 2 2
0 2 1
0 1 1
2 2 0
2 1 2
2 2 1
0 1 2
2 0 2
10 3
2 2 1
2 0 2
2 0 0
0 0 2
2 1 2
1 0 0
0 1 2
0 2 1
0 2 2
0 2 0
10 7
2 1 3
1 3 0
1 2 0
0 2 1
0 1 3
1 0 3
3 2 1
0 1 1
3 1 0
0 0 0
10 7
0 3 2
3 1 3
3 1 0
1 4 4
0 2 1
4 0 0
0 1 2
4 2 1
1 3 4
0 0 4
10 3
1 1 0
2 2 2
1 1 2
0 1 1
2 1 2
2 0 0
2 0 2
0 0 1
1 0 0
0 1 0
10 2
3 3 2
0 1 3
2 1 3
2 3 1
2 3 3
0 2 4
1 3 2
0 0 2
3 2 1
4 2 2
10 9
3 2 2
4 0 1
3 3 4
3 3 2
1 3 0
4 1 3
4 3 0
4 0 2
2 3 2
0 4 4
10 8
2 1 2
2 0 2
0 0 1
0 0 2
1 0 2
2 0 0
2 1 1
0 2 2
1 1 1
1 0 0
10 6
3 1 2
1 1 1
2 1 0
2 0 2
2 0 3
0 0 1
2 3 2
0 1 0
1 2 2
0 1 2
10 7
0 1 4
4 0 5
5 3 1
1 0 3
1 0 1
3 2 3
1 1 2
0 3 1
3 3 0
5 1 1
10 8
4 3 2
2 0 3
2 2 1
4 0 0
0 1 3
4 1 2
1 4 1
3 3 0
0 2 2
1 1 0
10 6
2 1 2
1 1 2
0 1 1
1 0 2
2 0 2
2 1 0
0 0 2
0 0 0
2 1 1
1 2 0
10 8
1 0 0
0 0 2
3 3 0
3 1 0
3 2 0
2 3 1
2 2 0
1 0 3
0 3 0
1 0 2
10 3
2 2 1
0 0 0
1 1 0
0 0 2
1 1 1
0 2 2
0 1 0
0 0 1
1 1 2
2 1 1
10 8
1 0 3
4 4 3
0 3 2
3 2 4
1 1 1
0 1 1
3 4 3
1 4 3
3 1 4
0 0 0
10 4
5 1 4
1 0 2
1 5 5
2 5 3
4 0 0
3 3 1
5 5 3
1 4 2
5 2 2
5 1 3
10 2
2 2 1
0 0 0
2 1 0
2 1 1
2 1 2
3 1 2
1 2 3
1 3 0
2 2 3
3 0 3
10 6
4 3 3
3 2 0
1 1 3
4 1 2
3 0 0
1 1 4
3 1 3
0 1 1
4 3 4
0 0 4
10 5
1 3 3
0 0 1
1 0 2
1 1 2
2 3 1
0 2 0
4 2 4
1 0 4
0 0 4
1 3 2
10 9
2 1 1
0 0 2
1 1 1
2 0 2
1 1 0
1 2 2
0 2 1
0 0 1
1 0 1
0 1 1
10 6
1 0 2
2 0 0
1 2 1
2 0 1
2 0 2
2 1 2
0 0 0
0 0 2
1 2 2
0 1 0
10 8
3 0 2
2 0 3
4 3 5
5 5 3
1 5 2
1 3 3
1 3 0
5 4 1
5 3 0
1 2 0
10 2
0 2 4
4 1 4
1 3 1
3 3 2
4 1 2
5 4 4
0 0 3
0 4 4
1 1 2
1 4 3
10 8
1 1 1
2 2 1
1 1 2
0 0 2
3 2 1
0 0 3
0 1 3
3 0 1
1 2 3
0 3 3
10 9
0 3 4
3 4 4
1 1 3
1 0 3
1 2 0
3 4 2
3 2 0
1 2 2
3 4 0
0 1 0
10 9
2 1 0
3 1 2
3 0 1
3 2 1
3 3 0
0 2 2
2 2 3
3 2 3
2 1 3
0 2 0
10 2
0 4 5
5 2 4
2 0 4
0 5 5
4 2 3
0 4 3
1 1 5
4 4 3
3 5 1
3 5 2
10 8
1 2 3
3 1 3
1 1 1
0 1 2
1 0 0
2 1 1
2 3 3
2 3 0
3 3 1
3 1 1
10 4
5 4 3
4 1 3
4 4 2
4 4 5
0 4 5
3 3 0
5 0 2
4 2 3
5 1 1
3 3 4
10 7
0 0 1
2 2 0
4 0 4
2 1 4
3 4 4
2 4 2
1 3 1
1 4 3
4 1 3
4 3 0
10 6
2 0 2
1 2 0
1 1 0
1 0 2
0 1 2
2 1 2
2 2 2
0 1 0
0 2 0
1 2 2
10 2
1 0 0
4 0 1
2 0 1
1 1 1
3 0 3
1 0 2
3 4 0
2 4 1
0 2 2
0 1 3
10 8
2 2 1
2 2 0
2 1 0
2 0 1
0 1 2
1 1 1
0 0 2
2 0 2
0 0 1
1 0 1
10 3
0 2 4
3 3 4
2 1 2
3 1 2
2 0 1
1 4 3
2 1 3
2 1 4
3 3 1
1 1 0
10 3
0 2 1
2 0 0
1 0 1
2 1 1
0 0 2
2 2 0
0 1 1
1 1 1
1 2 2
2 2 2
10 6
1 2 2
1 1 2
1 0 2
0 0 1
1 1 0
0 1 1
1 2 0
0 0 2
0 0 0
1 0 1
10 6
1 2 0
0 0 1
2 1 1
2 1 2
2 2 2
2 0 0
2 2 0
1 2 1
0 1 1
1 0 2
10 5
5 5 5
1 3 0
3 1 1
1 1 0
2 2 4
5 2 3
1 2 0
0 0 3
5 3 4
2 5 5
10 3
1 0 2
2 0 2
0 0 0
1 0 1
0 2 2
1 1 1
1 1 2
0 1 0
1 1 0
2 2 1
10 7
2 4 2
4 5 1
3 0 0
2 5 5
2 1 0
4 3 4
5 4 1
2 1 1
0 1 0
0 2 5
10 9
2 0 1
3 1 4
2 2 4
0 0 1
4 5 4
3 1 3
2 1 0
2 3 3
1 1 2
2 1 1
10 4
4 1 1
2 0 3
2 3 4
2 0 5
1 5 4
0 0 0
4 5 1
1 1 4
3 5 5
4 3 5
10 6
1 1 0
4 3 3
3 2 1
1 2 4
3 0 4
1 1 3
2 2 2
1 4 0
1 5 3
4 1 2
10 5
3 5 2
3 1 1
2 4 3
4 0 0
5 5 0
4 1 4
0 2 4
4 5 3
4 3 4
4 1 3
10 3
4 2 2
2 3 2
1 3 2
3 0 1
0 4 3
4 3 1
0 0 2
3 4 4
4 1 4
1 0 4
10 8
2 0 1
2 3 3
4 0 3
3 3 1
0 2 3
2 1 4
0 3 4
0 4 2
4 3 0
0 1 4
10 3
2 0 1
3 1 0
3 1 2
0 1 1
1 2 2
1 2 0
2 1 3
1 0 0
1 1 1
2 2 2
10 5
0 0 2
1 3 1
1 2 2
3 2 1
2 0 0
2 2 3
2 2 2
0 0 0
1 3 2
3 0 0
10 4
2 4 0
0 0 2
4 4 3
0 0 1
1 0 1
4 0 3
4 4 2
3 0 0
2 2 4
3 2 4
10 5
0 0 0
3 3 1
3 1 3
3 0 2
2 2 3
1 1 0
0 0 1
3 3 3
2 1 3
1 3 2
10 6
2 0 0
2 4 2
0 4 3
1 2 0
2 4 3
4 1 3
4 4 4
4 2 3
0 3 0
2 0 1
10 3
1 0 1
0 1 0
2 2 2
2 3 2
3 2 1
1 3 3
3 0 0
0 0 1
3 3 3
0 2 0
10 6
0 0 0
2 2 2
2 1 2
2 2 1
0 2 0
0 1 0
2 0 1
1 0 2
1 1 1
0 1 2
10 9
2 3 3
4 0 4
2 2 4
4 1 4
1 3 2
4 4 2
2 3 4
2 1 4
4 0 2
2 2 0
10 6
2 3 2
4 4 4
1 0 1
3 3 1
2 2 3
1 1 2
4 4 0
2 4 2
2 4 1
4 1 4
10 6
0 3 1
1 1 1
4 0 3
2 1 4
4 1 1
4 3 2
1 1 2
4 3 4
0 1 0
4 0 1
10 3
1 3 0
2 1 3
0 1 1
1 0 1
2 2 0
3 2 2
0 3 0
0 0 2
3 2 3
3 1 0
10 8
1 0 1
4 4 2
3 2 3
1 4 2
3 4 4
1 0 0
3 4 0
0 3 4
3 3 0
1 3 0
10 7
0 0 1
2 2 1
0 2 2
0 1 1
2 0 0
2 1 0
2 2 0
0 0 2
1 2 0
0 0 0
10 2
1 1 2
2 1 2
0 1 2
2 0 0
1 2 2
1 0 0
1 1 0
2 1 0
2 1 1
2 2 0
10 7
1 2 1
0 0 2
0 0 0
2 0 0
2 0 2
2 1 2
0 1 2
0 2 2
0 0 1
0 2 1
10 5
3 4 3
0 0 0
2 3 2
3 4 1
4 1 2
4 2 3
4 0 1
3 2 4
2 3 3
4 2 2
10 2
0 1 0
1 1 2
2 1 0
1 2 2
1 0 0
0 1 2
2 1 1
0 0 1
1 2 1
1 0 2
10 5
0 1 0
2 0 0
0 2 2
1 1 0
1 2 2
2 0 1
2 2 0
2 1 1
2 1 0
0 0 2
10 9
2 1 2
0 2 1
0 0 1
2 0 0
1 1 2
2 2 0
0 0 0
2 1 1
1 1 0
2 0 2
10 8
1 2 3
4 1 1
4 5 4
2 3 1
0 1 2
0 4 4
1 3 1
1 0 5
1 5 2
0 0 3
10 3
0 1 2
1 1 1
0 2 2
1 1 2
1 2 0
1 1 0
0 0 0
0 2 1
2 0 2
2 1 0
10 3
1 3 3
3 1 1
3 0 4
0 0 0
1 4 5
4 5 4
3 2 3
4 0 2
1 2 2
1 3 1
10 5
1 3 0
2 3 3
0 2 3
0 3 1
1 1 2
3 2 1
0 0 1
1 2 0
3 1 1
3 0 1
10 6
1 0 1
3 1 2
1 2 0
3 1 0
0 1 2
2 0 1
1 3 0
3 2 3
2 0 0
2 0 2
10 5
1 0 2
1 1 1
2 0 2
0 2 1
1 1 0
0 1 2
2 1 2
0 1 1
2 0 1
1 2 2
10 3
4 2 3
2 1 1
4 1 2
4 0 4
2 4 5
3 0 2
3 4 4
1 5 5
3 3 4
2 5 4
10 6
2 1 2
2 0 0
1 2 1
0 0 0
2 1 0
0 0 2
0 1 1
0 2 0
0 1 2
1 1 1
10 2
1 3 1
1 1 1
1 0 2
0 3 3
1 0 0
1 0 3
3 3 0
3 0 1
0 1 0
3 2 0
10 2
0 0 0
1 1 1
0 2 2
1 2 2
2 2 2
1 2 0
0 1 0
2 0 1
2 1 1
2 2 1
10 8
1 0 3
4 0 4
4 2 2
3 4 4
2 4 2
2 1 2
3 4 3
1 3 3
3 2 4
4 1 1
10 7
2 1 1
2 2 0
2 0 2
2 2 1
1 1 0
1 1 2
0 0 2
2 0 0
0 1 1
1 0 1
10 8
0 0 4
2 2 1
2 0 1
3 0 2
2 2 3
0 2 2
1 4 1
3 0 1
3 2 2
0 3 0
10 8
4 1 1
1 4 3
2 3 1
3 4 0
2 2 4
1 3 2
1 4 2
0 3 3
3 0 2
2 4 3
10 8
3 3 3
2 2 0
4 1 3
1 5 0
1 5 2
1 0 3
2 2 2
3 5 5
0 3 2
1 5 5
10 2
1 1 2
0 2 1
2 2 0
0 1 2
0 1 1
0 2 2
2 1 2
0 0 2
0 0 1
1 0 2
10 4
4 5 0
1 3 0
1 2 4
0 3 2
1 1 4
0 3 3
3 3 4
2 1 1
0 3 5
3 1 5
10 2
2 2 2
2 3 3
2 2 0
4 2 3
4 3 2
1 2 2
0 4 2
4 3 4
0 1 4
0 4 0
10 4
0 0 1
1 2 3
0 3 1
1 0 2
0 3 0
2 0 1
3 1 3
0 0 3
0 0 2
3 3 3
10 7
5 5 3
2 1 2
4 3 4
2 2 4
1 0 5
2 0 3
4 5 2
4 1 3
4 1 4
2 3 4
10 9
5 5 0
2 5 1
1 1 4
2 4 5
2 3 1
5 4 4
5 3 3
3 5 3
0 1 0
3 4 1
10 7
1 0 2
3 2 3
0 1 0
0 0 3
2 1 1
3 3 2
1 1 0
1 1 3
2 2 3
0 2 2
10 4
2 3 1
2 3 2
2 3 0
0 3 2
3 3 2
2 2 2
1 0 2
0 1 1
3 2 1
2 2 3
10 3
0 2 4
4 5 4
3 2 0
4 2 3
5 2 1
2 5 4
5 0 1
3 5 0
3 4 2
2 4 4
10 9
0 1 0
1 3 0
3 3 0
1 3 2
2 3 2
3 2 1
3 2 0
2 3 0
3 0 0
2 2 3
10 6
1 3 1
2 1 0
2 0 1
1 3 0
1 2 0
1 0 4
2 4 0
1 1 2
0 3 2
1 3 3
10 4
5 5 2
2 5 3
3 4 3
4 2 3
5 0 0
2 0 4
2 5 0
4 1 2
2 0 1
0 3 4
10 3
1 0 0
2 3 1
1 3 0
3 0 1
0 0 0
1 3 1
0 0 1
2 1 2
1 1 3
3 1 0
10 9
1 3 3
3 2 0
1 0 0
2 1 2
2 0 0
3 3 0
1 1 1
3 1 3
2 1 0
3 3 3
10 3
3 0 0
2 2 3
2 1 1
1 1 1
1 0 3
2 1 2
2 3 3
2 3 0
2 1 3
0 3 3
10 7
2 1 0
3 5 2
4 1 4
1 0 5
0 3 5
3 4 0
4 2 5
0 5 5
5 3 3
1 1 5
10 2
3 2 1
0 4 1
0 1 0
1 3 2
1 2 4
0 4 3
1 2 1
3 3 2
1 4 1
4 0 3
10 5
1 1 0
0 1 2
3 2 3
1 2 1
1 2 3
3 0 2
2 2 1
3 2 0
2 2 2
1 0 0
10 9
2 4 1
3 1 4
4 3 4
1 2 2
3 3 0
1 4 0
1 1 0
4 4 2
1 1 4
4 0 4
10 2
0 1 0
0 2 1
0 1 2
1 2 0
2 1 2
0 2 0
2 2 1
0 0 2
1 1 2
2 1 0
10 2
1 1 0
0 2 0
1 0 2
2 0 2
2 0 0
2 1 0
0 0 2
0 1 1
1 2 0
2 1 1
10 9
4 3 0
1 2 4
1 3 4
2 0 3
0 4 4
4 2 4
4 4 2
0 3 0
1 2 0
1 0 0
10 6
2 2 1
2 1 0
1 2 2
2 1 1
2 0 2
0 1 2
1 1 0
1 2 1
1 0 0
1 2 0
10 9
3 0 1
2 0 3
1 3 3
1 2 0
0 3 3
0 0 0
0 0 2
2 2 0
0 3 2
2 0 2
10 8
2 2 2
0 2 0
1 0 2
0 0 0
0 1 0
1 1 0
0 0 2
2 0 0
2 2 1
2 1 0
10 7
2 0 2
2 2 4
3 4 0
3 1 2
4 4 1
4 3 0
0 0 0
2 2 3
1 2 2
3 2 1
10 3
0 2 0
2 0 3
1 1 2
3 1 3
1 3 3
1 3 2
2 1 0
2 2 2
3 2 3
3 0 0
10 2
1 3 1
4 2 0
4 2 2
3 1 2
0 2 3
4 4 0
2 1 1
3 2 0
3 2 4
3 0 3
10 5
0 2 5
4 3 0
0 1 0
5 3 5
2 5 5
0 5 1
5 1 5
5 5 0
4 2 1
3 1 1
10 4
2 1 2
0 2 2
1 1 0
0 1 1
0 0 0
0 0 2
2 0 1
1 2 2
2 1 0
2 0 0
10 5
1 1 2
1 4 2
4 1 4
2 2 1
0 0 3
3 1 4
4 4 0
1 3 3
0 2 2
2 2 2
10 6
0 0 3
2 0 3
3 3 2
2 1 1
1 3 0
2 0 0
1 2 1
1 1 2
0 0 1
0 1 3
10 3
0 4 0
4 4 3
3 1 4
2 4 5
3 1 2
5 2 1
1 4 1
1 4 2
1 3 1
0 3 1
10 2
3 2 4
3 0 4
4 0 0
1 1 4
1 3 2
3 1 2
4 2 1
2 1 1
2 2 3
4 0 2
10 2
2 1 3
3 3 0
2 3 3
2 1 2
2 0 1
2 2 2
1 1 2
1 3 1
1 1 0
1 0 0
10 3
0 1 0
2 3 1
1 2 3
1 0 2
3 3 2
1 3 2
3 2 2
3 2 0
0 3 2
3 0 0
10 5
3 2 3
0 0 1
0 3 4
0 1 0
1 3 4
2 1 2
0 3 3
0 4 4
4 0 0
4 1 3
10 4
0 3 3
3 0 3
2 0 2
1 3 0
1 2 2
2 2 3
0 1 0
0 0 1
3 1 0
2 0 1
10 6
3 2 1
0 1 4
2 1 2
4 2 0
5 0 1
5 3 1
3 5 0
2 3 4
4 4 4
2 2 2
10 3
3 1 3
4 1 0
2 1 0
2 4 3
0 4 0
3 2 0
3 1 4
0 2 0
2 3 3
1 3 3
10 5
4 0 3
3 2 4
2 2 4
2 4 1
2 2 0
1 0 3
1 1 1
1 0 0
4 3 0
1 4 0
10 6
2 2 0
1 1 2
0 0 1
0 0 0
0 1 1
2 2 2
0 1 0
0 2 0
2 0 0
0 2 2
10 4
2 1 0
2 2 3
2 1 1
1 0 4
3 4 1
0 3 1
4 2 1
0 3 3
1 4 3
1 2 2
10 2
3 0 2
4 3 1
2 4 3
4 4 2
3 0 4
1 1 1
2 4 1
2 0 2
1 2 3
1 2 1
10 8
1 1 1
2 2 1
0 2 1
2 2 2
0 2 0
0 2 2
1 0 0
1 2 0
2 1 2
2 2 0
10 6
4 2 3
2 0 0
3 0 3
3 4 4
4 3 1
3 1 1
1 4 2
1 2 1
1 1 0
3 4 0
10 6
1 3 2
1 0 3
2 3 3
1 1 2
2 0 0
0 2 1
1 0 0
3 0 0
0 3 1
3 1 0
10 3
2 4 1
3 1 4
0 3 0
1 2 3
1 4 4
0 0 3
4 2 4
4 3 2
3 4 1
1 3 2
10 9
2 1 1
3 2 3
3 0 2
2 3 1
0 3 3
1 0 1
1 1 3
1 3 0
1 2 0
1 1 2
10 7
5 2 3
4 4 0
0 0 2
5 3 1
1 3 1
3 3 4
1 2 1
3 4 3
1 5 2
3 4 0
10 8
3 4 1
2 4 1
1 0 0
3 1 4
1 4 3
2 1 2
0 1 1
3 3 2
3 1 0
4 1 2
10 5
4 1 0
0 4 4
3 0 1
4 0 4
4 3 3
3 0 3
1 1 1
1 4 1
3 4 2
4 3 0
10 6
3 2 0
0 2 2
1 1 2
3 3 0
1 0 2
2 1 2
3 3 2
0 1 2
1 2 1
3 0 0
10 6
3 4 3
5 1 5
1 3 4
0 5 0
3 1 4
5 5 4
0 4 5
3 2 5
1 1 5
3 1 1
10 7
4 5 5
4 3 4
2 3 5
4 4 4
3 1 1
5 2 2
0 1 4
4 1 0
1 5 4
5 4 1
10 6
0 4 0
4 3 0
1 3 2
1 1 2
2 4 3
0 4 2
0 1 1
1 3 4
4 0 0
1 2 1
10 7
0 1 1
0 2 2
2 2 1
0 2 0
2 0 2
1 1 2
1 2 0
2 1 1
1 0 2
0 1 0
10 2
1 2 0
4 3 4
4 2 5
1 0 1
3 3 0
1 2 2
2 1 1
4 1 3
2 4 1
2 4 4
10 8
3 1 2
2 1 1
3 0 1
3 1 3
3 3 3
0 1 1
1 2 0
0 3 3
3 3 0
1 2 2
10 9
1 0 4
5 4 2
0 3 3
1 4 0
1 3 3
0 2 3
5 2 3
5 4 3
5 1 5
0 5 2
10 2
3 5 1
3 5 2
4 4 2
3 0 4
1 4 5
2 1 5
0 4 4
3 5 3
3 0 1
5 5 3
10 8
1 1 1
2 2 0
1 1 2
1 0 1
2 0 0
1 2 2
2 2 2
2 2 1
0 2 1
0 0 2
10 7
3 1 2
2 4 4
0 2 0
4 4 2
4 0 0
2 4 2
1 2 1
4 3 0
3 3 4
3 2 2
10 5
1 0 3
1 1 0
2 5 5
2 3 4
1 3 1
2 3 3
2 4 0
4 1 3
0 0 2
4 4 0
10 6
3 4 4
2 4 4
1 0 3
3 2 3
1 3 0
0 4 3
4 4 4
4 2 2
4 4 1
2 3 1
10 4
2 1 1
2 0 1
1 0 1
0 2 2
2 0 0
0 1 0
1 1 2
2 2 2
1 2 2
2 2 0
10 4
2 0 2
2 4 0
2 3 2
0 3 2
0 1 3
0 2 2
3 2 0
4 3 1
1 1 2
4 1 3
10 4
1 4 4
3 1 4
1 2 3
2 4 2
3 2 4
1 0 1
0 3 2
3 0 4
1 4 2
3 1 1
10 3
2 0 0
2 1 0
1 2 0
0 1 2
2 0 2
0 2 2
2 1 1
0 1 0
1 1 2
0 2 0
10 9
1 2 2
0 4 2
2 2 0
3 3 3
0 0 0
4 1 4
1 1 3
3 1 2
1 4 4
1 3 2
10 3
1 2 2
0 0 0
1 1 1
2 2 2
0 1 2
2 1 0
0 0 2
2 1 1
1 0 2
1 1 0
10 8
4 2 4
3 0 3
3 2 3
5 1 3
4 0 2
4 1 0
2 4 2
1 1 0
3 4 0
2 2 1
10 2
2 2 1
1 2 2
2 0 1
2 0 0
0 0 1
0 1 2
1 0 1
0 0 2
2 1 2
2 1 0
10 2
0 2 2
2 2 0
0 0 2
1 1 0
0 2 0
2 0 1
1 2 2
0 0 0
1 2 1
0 1 0
10 4
4 3 1
1 3 3
0 1 0
0 2 1
2 3 1
4 2 0
0 1 2
4 3 3
3 3 1
1 1 0
10 6
1 1 4
4 0 0
3 1 4
3 4 4
0 0 0
2 1 0
1 4 0
2 2 2
3 1 0
3 2 4
10 6
3 1 0
0 0 2
0 1 1
0 0 1
2 2 3
3 0 0
0 2 1
3 0 1
2 1 2
1 1 1
10 4
0 1 0
3 1 2
0 3 3
3 2 2
0 3 1
0 0 0
3 0 2
2 2 2
0 3 0
3 1 1
10 9
2 0 0
2 1 3
0 3 0
1 0 1
1 2 2
0 0 1
2 0 1
1 1 2
1 0 3
2 1 2
10 5
3 1 4
3 4 4
2 3 1
2 0 1
0 1 4
1 0 3
1 2 0
0 4 4
4 3 4
0 1 1
10 9
2 1 3
2 1 0
0 3 2
2 2 0
1 0 1
1 3 0
3 3 2
3 0 2
2 2 1
2 3 0
10 5
0 1 2
0 0 0
1 0 0
2 0 0
2 2 2
0 2 1
0 2 0
0 1 1
1 0 2
2 2 1
10 9
4 3 4
4 5 5
5 2 2
3 0 3
4 0 3
5 3 0
3 0 4
2 5 0
0 4 5
4 1 4
10 8
3 2 0
0 0 1
2 2 1
2 3 0
0 1 0
1 3 2
3 0 1
0 3 1
0 3 3
1 1 1
10 4
3 1 1
3 2 0
1 4 2
2 2 1
1 2 3
1 0 4
1 3 4
0 2 2
3 4 0
2 4 0
10 5
2 2 1
2 0 2
3 3 0
2 2 3
1 1 1
0 3 3
3 1 0
0 2 2
2 3 1
1 3 2
10 4
2 2 0
1 0 0
0 0 1
0 1 0
1 2 2
1 2 0
1 0 1
2 2 1
0 1 1
0 2 1
10 3
2 1 2
1 2 1
0 0 0
0 1 1
2 0 2
2 0 0
1 2 0
2 1 1
2 2 1
0 2 0
10 7
5 5 2
2 5 5
5 5 0
5 0 1
0 5 3
1 2 2
2 4 4
5 4 3
0 5 2
0 1 1
10 6
2 3 3
4 0 0
1 1 4
1 2 1
1 3 3
2 2 4
3 0 4
4 1 3
1 1 0
3 0 0
10 3
0 1 1
1 2 0
1 2 2
2 0 0
2 0 1
2 2 2
2 0 2
0 2 2
1 1 1
1 0 2
10 5
3 4 4
3 2 3
0 2 2
3 0 0
4 0 3
3 2 4
3 0 4
0 4 3
0 0 1
2 0 1
10 8
0 2 2
1 0 1
2 0 4
0 4 0
0 4 3
1 0 3
3 4 1
0 1 3
4 2 1
1 3 0
10 6
0 0 0
2 3 3
1 2 3
3 0 2
3 0 3
0 2 0
2 3 2
2 1 0
0 1 1
1 1 1
10 8
1 2 1
1 1 1
2 0 1
0 0 2
2 1 1
0 1 1
0 2 1
1 1 2
0 2 2
2 2 0
10 4
1 4 3
5 2 5
5 1 3
5 2 1
4 0 4
2 5 2
0 1 5
4 3 1
4 0 3
2 1 0
10 2
0 3 1
1 2 2
3 3 0
1 3 3
3 2 3
3 0 2
0 3 3
2 3 1
2 2 0
3 3 3
10 4
2 0 1
2 0 0
0 0 2
0 2 0
2 1 0
0 1 2
0 2 2
2 2 2
0 2 1
1 0 2
10 7
3 2 3
1 1 0
0 3 3
3 3 1
2 1 2
1 3 3
3 0 0
0 3 2
2 2 0
2 2 2
10 4
4 1 1
4 1 4
4 0 1
2 1 2
1 3 3
3 1 1
4 4 0
3 3 0
2 2 0
4 2 2
10 7
3 4 1
4 1 0
3 2 1
0 4 4
2 3 3
1 3 1
1 0 1
1 2 2
2 0 0
2 0 1
10 7
2 3 3
5 4 1
3 3 3
1 2 4
5 4 3
1 2 2
4 1 1
0 1 1
5 2 3
4 5 3
10 5
3 3 2
2 1 3
2 2 4
1 3 0
0 4 0
3 4 3
4 3 4
1 0 0
1 4 1
1 2 4
10 4
1 0 1
4 3 0
4 2 0
1 1 1
2 0 0
3 1 3
4 1 1
1 2 0
0 4 4
1 4 0
10 5
3 1 3
3 4 1
2 4 0
2 2 1
0 2 1
4 2 1
1 0 4
0 1 0
4 2 0
0 2 3
10 2
0 2 0
1 2 1
0 2 2
0 1 1
1 2 2
1 2 0
0 1 0
2 0 2
2 2 2
0 0 1
10 4
3 3 0
2 1 4
1 0 0
1 2 0
3 2 4
1 4 1
0 2 2
3 1 0
0 0 0
4 3 3
10 6
1 2 1
3 2 0
0 2 2
0 0 3
2 1 0
3 2 2
3 1 0
1 1 2
3 3 3
2 3 2
10 7
1 2 1
0 1 2
0 2 0
2 0 0
1 1 1
1 0 0
1 0 1
2 1 0
0 0 1
1 1 2
10 8
4 3 4
0 1 4
3 5 1
5 3 3
5 1 1
4 4 2
4 3 5
0 5 5
2 0 3
1 5 4
10 5
3 1 0
1 4 1
3 4 1
4 1 2
0 1 1
0 3 4
2 1 1
2 2 1
0 2 1
0 3 3
10 7
0 2 2
2 2 2
2 1 1
1 1 2
2 2 0
0 2 0
1 2 1
1 2 0
0 1 0
0 0 2
10 6
3 3 3
1 0 1
0 1 1
3 1 2
3 2 0
0 0 2
1 3 3
2 0 0
2 3 1
3 1 3
10 7
2 2 1
0 0 2
1 0 0
1 1 1
2 0 0
0 2 2
1 0 2
1 2 1
1 2 2
0 1 1
10 9
4 4 2
4 0 1
5 0 1
3 0 5
1 0 5
0 2 5
2 3 0
3 4 5
5 4 2
5 3 2
10 8
1 1 0
0 1 4
4 4 2
1 2 4
0 1 0
0 3 4
4 0 2
1 1 4
3 1 4
1 3 1
10 4
2 3 0
4 2 0
0 4 4
2 2 3
0 2 2
3 0 4
4 4 0
1 0 2
3 0 0
2 0 3
10 4
0 2 4
1 4 1
4 2 1
1 5 2
3 1 4
4 4 1
1 1 4
5 2 4
0 2 2
5 3 0
10 5
2 0 1
1 2 1
0 0 1
2 1 0
2 1 1
0 0 0
0 0 2
1 2 0
0 1 0
2 2 0
10 2
1 2 1
2 3 2
0 0 2
1 3 2
1 2 3
2 3 3
0 2 2
3 3 2
0 3 1
2 2 3
10 7
0 3 0
0 1 0
1 3 1
3 0 0
1 0 1
1 1 3
0 1 3
0 0 3
1 2 2
3 3 3
10 4
2 2 0
0 0 0
1 0 1
1 0 2
0 1 1
2 2 2
1 0 0
0 2 0
2 0 2
2 2 1
10 4
1 3 2
0 2 4
2 1 0
1 1 4
4 1 3
2 0 4
4 2 0
1 2 0
2 0 1
0 4 1
10 2
0 4 4
0 4 2
3 5 5
4 2 0
3 3 3
4 5 4
4 4 1
0 0 0
1 5 1
5 2 2
10 5
2 0 1
1 1 0
0 1 1
2 0 2
1 1 1
1 0 0
0 2 0
2 2 1
2 1 0
1 0 1
10 7
0 0 0
0 2 2
2 1 1
2 0 0
2 2 2
2 0 2
2 0 1
1 0 2
0 0 1
0 2 0
10 9
3 1 2
2 1 1
0 2 0
0 3 2
1 0 1
0 0 0
2 2 1
2 2 2
0 1 3
3 0 0
10 3
4 2 3
2 4 0
3 4 3
2 2 0
4 0 0
0 1 0
2 4 3
0 3 3
0 3 2
4 2 0
10 7
3 0 0
0 0 1
2 3 2
2 1 0
1 1 2
1 3 3
0 1 1
3 3 3
1 2 0
1 2 3
10 3
0 0 1
4 4 2
1 2 1
1 3 4
3 4 0
1 3 3
2 1 2
4 2 4
0 2 2
2 3 0
10 6
2 2 0
0 0 1
0 2 3
3 2 3
3 2 2
1 0 3
0 2 2
2 3 0
0 0 2
2 0 2
10 6
0 1 0
0 0 0
1 0 1
0 2 1
0 1 1
2 1 1
2 1 2
0 2 2
1 2 1
1 2 2
10 8
2 1 2
1 3 1
3 1 1
0 2 1
2 0 2
0 3 1
3 0 0
0 2 3
3 2 2
3 3 1
10 2
3 0 2
0 1 0
2 3 2
0 1 2
1 0 2
2 2 2
2 1 1
0 0 3
1 1 3
1 1 0
10 8
2 1 1
1 0 1
1 1 1
2 0 2
0 1 1
0 2 2
2 2 0
2 2 2
1 2 0
1 2 2
10 3
1 2 2
1 0 2
0 1 4
2 2 1
4 3 2
2 2 4
3 0 3
1 0 1
0 4 3
0 0 1
10 7
2 0 0
0 2 0
2 0 2
1 1 1
1 1 2
0 0 1
2 1 2
2 0 1
2 2 0
1 2 2
10 6
0 1 0
1 2 2
1 1 2
0 0 1
0 2 1
0 0 2
2 2 0
2 2 2
0 0 0
2 1 0
10 2
4 3 2
5 1 4
4 2 5
2 1 2
2 3 1
2 0 3
2 3 5
3 5 5
4 2 1
1 1 4
10 2
0 0 4
0 2 3
2 0 1
1 3 0
3 2 4
0 0 1
0 3 1
4 0 0
3 4 4
2 2 1
10 3
1 1 0
0 2 0
1 2 0
1 2 1
0 2 2
1 2 2
2 1 0
1 1 2
2 0 2
2 0 1
10 6
4 1 1
4 0 1
2 0 0
2 4 1
0 5 5
5 4 2
3 3 1
5 2 4
2 3 0
3 5 2
10 9
3 3 4
2 1 4
4 4 0
4 0 1
1 4 1
3 1 3
3 4 3
2 2 0
2 1 1
3 3 2
10 8
3 1 0
2 1 3
3 3 2
1 2 0
0 3 3
3 0 1
1 0 1
1 3 0
1 3 1
1 2 1
10 3
5 0 2
1 1 4
5 2 4
0 2 1
3 5 0
1 4 3
4 0 0
1 0 3
1 4 4
2 3 4
10 6
2 1 0
0 2 1
1 0 3
3 3 0
1 3 3
1 0 2
3 2 1
0 0 3
3 3 1
2 3 2
10 4
5 1 4
0 0 2
0 4 3
3 4 5
2 1 1
4 3 5
3 3 3
4 2 0
2 4 3
0 0 0
10 4
2 1 2
2 1 1
0 2 2
0 1 2
1 0 2
1 0 0
0 0 1
2 0 1
2 2 0
2 1 0
10 5
3 3 4
2 4 3
3 4 1
1 3 1
4 1 4
2 3 2
2 1 0
2 2 2
0 3 4
1 2 1
10 5
3 4 2
2 5 0
0 0 4
4 5 4
0 4 1
4 3 3
2 0 0
5 5 4
3 0 3
1 4 0
10 3
2 2 1
2 1 0
0 2 2
0 1 0
2 0 1
0 0 0
0 1 2
1 1 2
2 0 0
1 0 0
10 6
2 2 3
0 1 0
3 2 0
2 2 2
1 3 2
2 1 2
1 2 3
3 3 2
1 0 1
1 3 1
10 7
0 3 1
3 2 5
4 3 4
3 5 5
3 1 3
5 2 5
4 3 2
3 4 0
2 4 2
4 1 5
10 5
3 2 1
0 1 0
1 2 0
4 0 1
3 0 0
0 1 4
4 3 2
0 1 1
2 2 4
0 3 1
10 7
0 0 1
1 0 0
1 2 2
2 0 0
2 0 2
0 2 0
2 2 1
1 1 0
0 0 2
2 1 0
10 8
1 4 2
3 2 5
4 4 0
4 0 0
4 1 3
2 3 5
2 1 1
5 2 1
2 2 0
2 2 2
10 3
2 1 0
1 2 1
2 1 3
0 3 0
3 2 2
3 0 3
1 1 2
3 3 1
1 0 0
0 0 0
10 4
0 0 3
3 0 2
2 5 3
4 5 1
0 2 4
4 5 4
0 3 2
0 5 4
5 0 2
1 3 5
10 5
4 1 3
3 1 3
1 3 4
2 0 4
1 4 2
0 1 1
0 1 3
1 2 1
0 4 2
1 3 2
10 8
1 1 3
0 2 0
2 0 0
0 3 1
0 2 1
0 1 3
1 0 1
1 0 2
2 0 2
2 2 1
10 8
3 3 1
3 3 5
1 4 5
2 1 0
4 3 5
1 2 0
2 3 2
0 1 1
2 0 4
0 0 5
10 6
0 1 0
0 0 1
0 2 2
1 2 2
0 0 0
0 1 2
0 1 1
1 0 0
2 1 2
2 0 0
10 3
3 1 0
4 3 3
3 0 0
4 4 4
4 1 4
4 3 1
1 1 2
2 4 4
1 2 3
1 4 2
10 2
1 3 1
5 3 5
1 1 5
2 5 5
3 0 3
1 2 2
1 1 1
1 2 4
2 2 1
2 1 2
10 8
1 1 0
2 2 1
1 0 0
0 0 0
2 2 2
0 2 1
2 1 1
1 1 1
1 2 2
2 0 2
10 3
2 2 1
2 0 0
3 2 1
0 2 1
3 3 1
3 3 2
2 1 2
0 3 0
0 1 0
3 0 2
10 8
2 2 0
0 2 2
0 2 1
2 0 1
1 0 2
1 2 0
0 0 2
2 2 2
2 2 1
1 2 2
10 2
2 2 1
1 0 3
2 0 3
3 1 2
1 2 2
1 3 3
0 3 1
0 0 2
2 2 2
2 3 2
10 6
2 4 0
2 0 4
3 3 0
4 1 1
3 3 1
2 1 1
2 1 3
0 2 3
0 1 3
3 1 1
10 4
0 2 1
3 3 3
3 3 2
0 3 2
1 1 2
1 3 3
1 3 2
3 3 1
2 3 2
0 0 3
10 9
2 0 4
5 2 5
2 0 0
1 0 0
4 0 1
2 0 1
5 4 0
2 2 4
2 5 3
3 4 4
10 8
5 2 1
3 1 2
5 1 5
5 0 4
2 3 5
3 2 5
0 2 4
0 5 0
2 1 5
0 5 1
10 3
1 1 2
0 0 1
2 1 1
1 0 0
2 1 0
2 0 2
2 1 2
2 0 1
0 2 2
1 2 2
10 5
3 1 0
0 1 3
0 0 3
2 0 2
2 3 3
3 1 3
3 2 2
2 3 1
3 3 3
0 2 1
10 8
1 0 0
0 0 0
0 0 2
2 1 1
2 3 3
1 4 1
3 3 2
2 4 3
3 2 3
0 4 1
10 7
3 0 4
0 0 0
2 0 3
4 4 4
3 2 0
3 3 4
0 1 4
0 2 4
0 1 1
2 1 0
10 5
4 4 5
2 1 5
4 1 1
2 1 4
0 0 5
5 2 3
4 4 3
2 2 2
3 2 5
3 1 2
10 7
2 2 1
1 1 0
2 2 2
0 0 0
0 1 2
2 1 0
2 1 1
0 0 2
2 0 0
2 0 2
10 5
2 0 3
0 0 3
0 0 1
2 2 1
3 3 0
1 1 1
3 2 1
0 3 1
3 0 1
2 3 2
10 3
3 3 4
0 0 4
4 4 3
1 4 1
2 4 2
2 2 1
1 3 4
3 3 0
2 0 2
1 4 2
10 4
1 2 2
2 0 1
0 1 0
1 0 2
1 2 0
0 2 1
1 0 0
1 1 2
2 1 0
0 1 1
10 2
2 0 2
0 0 3
3 0 3
2 0 1
2 0 3
3 1 3
3 1 0
1 1 3
1 1 2
1 2 3
10 9
1 1 1
2 2 1
0 0 2
0 0 1
0 1 1
2 0 0
0 2 0
2 0 2
2 2 2
2 2 0
10 2
5 1 2
2 2 0
0 4 0
5 5 2
4 3 5
0 2 5
0 1 5
4 4 1
0 4 5
0 3 3
10 9
1 1 0
3 3 0
2 2 0
3 2 1
0 3 0
0 0 2
1 2 1
1 1 1
0 1 2
1 0 1
10 8
1 1 0
1 1 1
2 0 2
0 0 1
2 2 1
0 2 1
0 1 0
1 2 0
0 0 2
0 1 1
10 5
0 3 0
5 4 2
1 5 2
2 4 0
0 0 2
1 2 1
1 0 2
1 5 1
3 1 3
2 3 5
10 2
1 2 1
3 0 3
2 3 3
1 0 0
2 3 0
2 1 2
2 2 2
1 1 2
3 2 2
0 2 3
10 3
4 1 3
3 5 0
0 3 0
1 2 4
3 0 5
2 4 3
5 2 4
5 1 1
2 0 3
1 0 0
10 5
3 3 1
4 1 4
0 5 1
1 3 4
0 1 5
3 0 0
4 0 4
4 3 0
0 3 3
2 3 3
10 3
1 0 3
1 4 1
3 1 2
2 4 0
4 1 0
0 0 3
3 0 1
1 2 4
2 1 3
3 2 2
10 3
0 2 2
2 2 2
1 2 1
1 2 2
2 2 0
0 2 0
2 0 2
0 1 2
1 1 1
2 2 1
10 6
2 3 2
1 2 0
0 1 1
2 1 2
0 1 3
2 3 0
2 1 0
2 0 1
3 3 3
0 2 2
10 4
1 2 1
5 1 3
4 2 1
1 3 2
0 0 4
1 2 3
0 3 4
3 0 4
5 3 4
1 2 0
10 2
0 1 4
1 0 0
2 1 0
4 2 3
0 1 0
1 0 3
3 1 1
3 3 4
0 3 0
2 4 3
10 5
0 1 2
1 2 0
1 1 1
2 0 1
2 1 0
2 0 2
0 0 2
2 2 1
2 1 2
2 0 0
10 8
5 5 4
2 1 5
2 3 4
3 0 5
5 2 3
3 0 3
2 4 4
1 3 0
1 5 3
1 1 5
10 4
2 3 1
2 2 0
1 2 1
1 1 2
1 0 3
1 2 3
0 1 2
3 3 1
2 1 3
3 1 0
10 6
0 0 2
4 2 1
1 4 0
4 2 0
2 0 2
5 5 3
0 4 1
4 1 2
5 3 5
3 0 3
10 3
3 3 2
3 2 0
5 1 2
1 0 0
0 5 5
4 2 4
3 2 1
5 4 0
0 2 3
3 4 3
10 7
0 0 2
1 1 2
2 1 0
2 2 1
1 0 1
1 0 0
1 0 2
2 1 1
0 2 2
2 0 1
10 8
2 2 0
2 1 0
0 0 0
1 2 2
1 2 1
2 1 2
0 0 2
1 1 0
2 0 1
1 0 0
10 7
3 0 2
0 4 1
2 3 3
1 4 1
5 1 4
3 3 2
5 2 4
1 0 0
0 0 2
5 4 3
10 7
2 2 2
2 0 0
1 2 1
2 2 1
2 1 0
1 0 0
0 1 2
0 2 1
1 1 0
0 2 2
10 7
2 1 1
0 3 0
2 1 3
0 2 0
1 4 0
3 0 3
4 3 2
2 3 3
3 3 2
1 0 2
10 4
0 0 2
0 1 0
2 0 0
2 0 1
2 1 1
1 2 0
0 1 2
1 1 0
1 2 1
1 2 2
10 5
0 2 2
2 2 1
0 2 1
1 0 0
2 0 0
0 1 1
1 0 1
2 0 1
2 1 0
1 0 2
10 4
0 4 0
1 1 4
3 3 5
0 2 3
1 0 5
3 1 2
3 2 4
0 3 2
5 5 0
4 1 2
10 8
0 3 0
4 1 0
0 4 2
2 1 2
3 4 2
4 3 1
2 3 2
1 0 3
2 0 3
2 1 0
10 3
0 2 1
2 2 2
0 0 2
2 1 0
1 1 1
2 2 1
1 2 1
2 1 2
0 2 2
2 0 2
10 5
3 5 3
4 4 0
2 2 2
5 5 0
5 4 4
1 4 1
2 1 0
3 0 0
4 2 1
1 0 3
10 4
0 1 4
0 0 1
0 5 3
4 2 0
4 5 5
0 2 0
5 0 2
1 4 5
0 3 4
0 4 5
10 4
2 4 5
0 5 3
4 2 4
1 5 5
4 1 2
4 4 1
5 3 4
5 2 3
0 4 3
5 3 5
10 9
3 1 3
2 1 4
1 3 3
4 1 1
1 4 0
1 0 4
3 4 4
1 4 4
3 3 4
2 3 4
10 9
0 3 1
0 0 0
0 1 1
2 3 0
0 0 2
0 2 2
2 1 1
1 0 1
1 3 3
2 1 3
10 4
4 2 4
4 3 1
2 0 1
0 3 0
3 3 0
3 3 2
0 3 4
1 0 3
1 2 3
3 1 0
10 8
3 3 4
1 4 3
0 0 4
3 4 0
5 5 5
4 2 1
1 5 1
5 2 4
5 1 3
5 2 2
10 4
1 0 0
3 3 2
1 3 1
2 3 0
0 0 3
0 1 2
3 0 3
2 1 3
1 2 2
2 3 1
10 4
3 3 1
2 3 0
0 3 3
1 5 0
4 3 2
0 3 0
2 3 1
4 1 3
3 4 2
4 1 4
10 2
0 3 3
2 2 2
2 3 0
3 3 0
1 1 2
3 1 3
2 1 3
1 0 3
3 3 2
1 3 0
10 3
2 3 3
0 2 1
2 3 2
3 2 1
2 1 2
3 2 3
0 0 2
1 2 0
1 1 1
0 1 3
10 5
1 1 1
0 1 2
2 2 1
1 0 2
0 0 2
2 0 2
1 2 0
0 1 0
1 1 2
1 2 2
10 2
2 3 2
0 1 1
2 3 3
0 2 1
1 0 1
2 1 2
2 1 0
3 0 0
3 0 2
0 2 0
10 7
1 1 2
4 1 2
1 0 4
1 1 1
1 4 1
2 1 0
1 4 2
3 2 2
3 4 0
0 2 2
10 5
1 1 2
0 4 3
3 3 5
1 1 5
4 1 2
4 1 3
5 1 4
0 2 0
3 0 3
2 2 1
10 5
2 4 3
4 3 3
0 1 1
3 2 1
0 1 3
1 0 3
0 0 2
0 1 2
2 0 3
1 3 1
10 8
2 2 1
1 1 0
3 0 2
3 3 3
1 3 0
0 1 3
3 2 2
0 3 1
3 1 3
2 1 2
10 7
0 1 4
3 3 0
4 0 1
4 2 3
0 1 2
3 3 4
1 1 4
1 2 3
2 2 4
3 0 0
10 5
0 2 2
0 1 1
1 2 0
0 1 2
2 2 1
2 1 1
0 2 1
0 0 1
1 0 0
1 1 0
10 7
0 0 2
2 2 3
1 0 1
0 2 1
2 2 0
1 2 2
3 2 3
3 2 0
3 0 3
3 3 3
10 7
1 0 0
0 1 1
0 1 0
1 0 2
0 2 1
2 0 0
2 0 2
0 0 1
2 2 1
1 1 1
10 8
5 0 1
0 2 0
0 5 2
0 0 3
3 0 1
1 1 4
5 2 1
5 0 0
4 4 0
4 5 4
10 5
2 2 2
2 1 3
0 1 2
0 2 1
3 0 2
1 3 2
3 1 2
0 0 3
1 0 3
3 3 2
10 7
0 0 3
2 2 0
2 1 0
1 3 0
2 3 0
1 0 3
2 3 1
3 3 1
0 2 0
3 0 3
10 3
3 1 2
3 1 0
1 0 3
3 3 3
1 1 2
0 2 1
0 0 0
2 3 0
2 0 2
0 0 1
10 4
0 0 3
1 3 2
2 1 1
3 0 3
3 3 3
1 2 0
0 1 0
3 2 2
3 3 1
3 2 0
10 6
3 0 4
3 0 0
3 0 2
1 0 1
4 2 0
1 2 3
4 1 2
2 2 1
3 3 2
2 4 2
10 7
1 2 2
3 4 3
2 1 2
3 2 3
4 3 2
4 4 4
1 3 4
1 0 1
1 1 3
3 4 0
10 8
4 0 0
0 2 0
4 3 3
0 3 2
0 0 4
0 2 4
0 1 1
3 0 4
4 0 3
0 4 4
10 4
5 1 1
2 3 1
5 0 3
3 1 3
2 4 5
1 2 3
5 5 4
3 3 4
1 5 4
2 3 0
10 2
2 3 4
3 3 1
3 1 0
0 5 2
5 1 2
0 0 1
2 2 4
5 4 0
5 2 1
1 0 0
10 4
0 2 0
2 0 2
1 0 2
0 0 2
1 2 1
2 2 0
0 1 0
0 0 0
0 1 1
2 1 2
10 6
1 0 4
2 4 2
4 2 4
2 1 4
4 4 4
0 0 0
4 3 1
2 2 2
4 2 3
0 4 2
10 5
0 4 0
0 1 0
2 0 4
3 2 2
3 2 4
0 3 0
4 4 1
1 1 0
3 0 4
0 2 4
10 6
2 2 2
1 3 0
3 2 3
0 1 1
3 1 2
1 2 3
3 0 1
2 2 1
2 1 3
2 3 0
10 8
1 1 0
2 0 1
1 0 0
1 0 2
0 1 1
0 2 2
1 2 2
2 2 0
0 2 1
2 1 0
10 4
2 0 0
1 0 2
2 2 4
2 4 0
2 1 0
0 5 4
4 2 5
2 5 0
2 3 0
3 3 2
10 9
2 2 1
1 1 2
0 0 2
0 1 1
2 2 2
0 1 0
2 1 2
2 0 0
1 0 1
1 2 2
10 9
2 4 3
2 3 0
2 1 3
1 3 1
1 2 0
3 0 1
0 2 1
2 1 1
1 2 3
4 1 3
10 3
3 1 2
0 1 1
2 2 3
3 2 3
0 0 0
2 1 0
1 3 1
2 0 2
3 3 1
0 0 1
10 2
0 2 3
1 4 1
1 0 5
3 0 5
5 2 3
5 2 1
4 2 1
1 1 2
4 5 2
2 0 0
10 9
2 2 2
0 1 1
1 3 0
0 0 2
1 2 3
0 3 1
0 1 2
2 1 3
3 2 3
0 2 1
10 9
1 2 1
1 0 0
0 0 1
2 1 0
2 1 2
0 2 1
1 2 2
2 0 0
0 2 2
1 1 2
10 6
3 1 2
0 5 0
2 1 1
5 5 0
2 0 0
5 1 1
1 1 0
0 0 0
5 0 5
4 2 0
10 9
1 3 1
1 1 2
0 0 3
2 0 3
0 0 1
3 3 1
1 1 3
1 0 2
3 1 1
3 0 3
10 6
3 1 0
2 0 3
0 2 2
0 1 3
2 2 0
1 1 2
0 2 3
1 1 1
1 3 1
0 3 3
10 2
2 0 2
3 2 0
1 3 0
3 3 2
0 3 3
2 3 1
1 3 2
0 1 3
0 0 3
3 2 2
10 4
5 5 2
5 3 0
1 5 1
5 0 4
5 4 0
1 0 1
1 1 0
3 0 3
5 1 0
3 2 4
10 4
3 2 1
2 0 0
3 2 2
2 3 3
3 0 0
0 0 3
0 3 0
1 0 2
1 0 0
1 3 3
10 6
1 2 2
0 1 1
0 0 2
0 1 2
2 1 0
1 1 2
1 1 1
1 2 1
1 0 0
2 1 2
10 6
1 0 2
0 1 1
0 2 2
0 2 0
2 1 0
1 2 1
0 1 2
0 0 2
1 1 1
2 2 1
10 5
2 0 0
1 2 1
1 1 0
1 1 2
2 2 0
0 1 0
1 0 1
0 0 1
2 2 1
2 0 2
10 9
4 4 0
0 4 1
1 4 4
1 1 3
0 2 1
3 3 4
3 3 1
2 1 4
2 3 2
4 4 1
10 4
2 0 1
0 1 0
0 4 0
2 1 1
0 4 4
3 3 3
0 2 3
3 0 2
4 2 1
2 3 0
10 5
2 1 3
3 2 1
3 3 0
2 3 3
1 1 0
2 3 1
3 0 1
2 2 0
0 0 3
3 3 2
10 3
0 1 4
5 3 2
4 3 3
3 0 3
1 3 4
5 4 5
3 4 5
0 2 2
1 2 4
1 2 3
10 7
2 1 2
3 3 2
0 0 0
0 2 0
2 2 0
0 2 2
0 3 0
0 1 1
1 3 2
3 0 0
10 9
1 0 1
1 2 0
0 0 2
0 1 1
1 1 2
2 1 1
2 0 0
0 2 1
2 0 2
2 2 2
10 3
1 2 1
2 0 0
1 0 0
0 0 1
0 2 2
2 1 0
1 2 0
1 1 2
1 2 2
0 1 0
10 5
2 0 3
4 2 3
1 4 4
4 0 0
1 0 0
4 1 1
1 2 1
2 1 1
4 3 1
1 0 2
10 6
0 2 2
0 0 1
2 1 2
1 2 0
1 0 2
1 0 0
2 2 1
0 0 2
1 2 1
1 1 0
10 6
0 1 1
2 2 2
2 0 0
1 1 0
2 1 2
0 0 2
0 2 1
1 2 1
1 0 0
2 1 1
10 9
3 5 0
4 4 2
1 5 3
4 2 1
0 2 4
0 5 1
5 4 4
2 2 0
0 2 5
4 4 1
10 7
2 1 3
1 3 3
2 0 2
3 0 3
0 3 2
1 1 0
3 0 0
1 3 1
1 0 2
0 1 1
10 8
1 0 2
2 2 0
1 2 0
1 1 1
2 1 0
0 0 1
0 0 2
0 2 2
1 2 1
2 2 2
10 6
1 0 1
0 1 1
0 3 2
3 2 1
2 2 3
1 1 0
2 0 0
1 3 2
1 1 3
2 3 2
10 6
1 0 0
1 1 0
0 2 1
2 2 1
2 2 0
0 0 0
2 1 0
0 1 0
0 1 2
2 1 1
10 6
0 0 0
1 1 0
2 2 3
2 2 2
3 3 2
1 1 3
2 0 1
0 1 2
2 3 1
0 2 3
10 7
0 2 4
1 2 2
4 3 3
4 2 3
1 3 2
4 0 2
3 3 2
4 3 1
2 1 3
1 3 3
10 8
0 2 1
2 2 3
1 1 2
1 2 0
1 0 1
0 2 3
2 0 3
0 1 0
3 1 3
0 3 0
10 5
1 1 1
2 0 1
2 1 0
2 0 0
2 1 2
1 1 2
0 2 2
0 2 1
1 0 1
1 2 1
10 6
4 3 2
2 3 4
2 4 2
0 1 4
5 0 2
0 0 3
0 4 1
2 2 0
4 4 3
4 2 3
10 4
5 3 4
4 2 1
1 5 1
0 0 0
4 3 5
1 2 4
3 4 0
4 5 4
4 5 2
0 4 3
10 4
2 1 0
1 2 2
2 1 2
1 2 1
0 0 2
1 0 1
0 2 1
2 0 0
1 0 0
2 0 1
10 3
1 1 0
1 2 0
0 1 1
2 2 2
1 0 2
2 1 1
1 2 1
1 1 2
2 2 0
2 1 2
10 2
1 1 4
4 1 0
3 1 1
0 2 2
0 0 4
4 4 0
0 4 1
1 2 3
2 1 0
4 4 2
10 6
0 1 0
1 1 1
0 2 1
2 2 1
1 3 2
2 1 3
1 2 2
3 0 0
0 2 3
1 3 0
10 7
2 3 3
0 0 3
2 3 0
2 1 3
3 0 1
0 1 2
2 0 3
0 1 3
1 0 3
2 0 2
10 3
2 0 0
1 5 0
2 3 5
1 0 1
3 3 1
0 4 1
4 5 3
5 4 4
5 3 1
1 2 1
10 3
4 2 3
4 1 1
1 4 3
3 2 0
1 3 0
1 0 0
4 1 2
4 1 0
4 1 4
0 0 1
10 6
0 1 1
1 0 2
1 2 2
2 0 3
3 3 0
0 3 0
0 2 0
3 0 2
0 3 3
3 0 0
10 7
0 0 2
0 1 2
0 0 1
2 2 0
1 2 1
1 3 3
2 2 2
2 3 1
0 3 1
1 2 2
10 3
1 1 1
2 0 2
0 0 2
2 2 1
2 1 1
2 0 1
0 1 1
0 2 1
2 2 0
1 2 0
10 7
1 3 1
4 4 4
0 0 2
4 4 3
2 1 0
3 2 4
3 0 1
4 3 1
2 2 1
1 0 4
10 6
3 0 1
2 2 2
3 2 2
3 1 3
0 3 1
1 3 1
3 1 1
3 2 3
1 1 0
0 1 1
10 9
2 0 0
0 0 0
0 1 0
1 2 1
2 1 2
1 1 1
1 1 0
0 2 0
0 2 1
2 1 1
10 6
2 5 5
1 1 4
3 0 0
4 4 0
0 1 0
2 1 2
5 3 4
5 0 4
2 3 3
2 4 4
10 7
0 0 3
1 1 0
0 3 1
2 0 2
3 1 0
2 2 3
0 1 2
1 1 2
0 2 3
3 2 2
10 3
2 0 4
4 1 3
1 0 4
4 4 0
2 2 4
2 2 3
0 4 4
4 4 3
0 0 3
4 1 0
10 5
3 0 3
0 4 0
4 0 3
2 1 4
3 1 0
2 4 4
3 0 4
0 0 1
0 1 3
1 3 0
10 2
2 1 5
3 2 4
4 3 2
5 1 4
2 3 5
1 5 3
2 2 1
4 2 4
3 4 2
0 3 2
10 2
3 4 2
0 3 1
4 4 1
0 2 4
1 0 0
1 3 0
3 1 4
2 3 5
0 3 3
2 4 2
10 3
2 2 1
0 1 2
0 2 2
1 1 2
0 0 2
0 2 1
1 1 1
1 1 0
1 0 2
0 1 1
10 6
1 2 1
1 1 2
3 4 0
2 1 1
3 4 4
0 1 1
3 4 1
1 3 0
3 3 4
4 0 1
10 4
1 0 3
0 3 0
3 0 3
0 2 2
2 0 1
2 0 0
1 3 0
3 3 0
3 2 0
3 1 2
10 6
2 0 3
3 3 3
1 3 1
1 3 3
3 2 3
1 3 0
0 2 3
2 1 2
3 0 0
0 1 2
10 8
4 2 3
5 3 4
3 3 5
2 4 4
5 0 3
0 5 3
1 5 4
0 0 5
1 1 2
2 4 3
10 2
2 0 0
0 2 3
3 3 0
2 3 2
2 3 3
1 1 1
3 1 2
3 2 2
0 0 2
3 3 3
10 5
0 0 1
0 1 1
0 0 0
1 0 2
0 1 0
2 2 0
1 1 2
1 2 2
0 0 2
1 2 1
10 8
3 2 4
5 4 1
2 2 5
4 4 5
3 5 3
5 2 4
3 1 0
5 0 3
2 3 3
3 2 5
10 7
1 1 3
1 1 2
3 2 1
3 3 3
3 3 2
3 1 0
2 3 1
0 0 3
3 2 2
1 0 2
10 9
0 0 3
4 1 2
3 1 1
2 3 2
4 3 4
4 2 4
2 2 3
2 1 0
4 1 3
0 0 1
10 6
0 5 3
5 3 0
5 0 3
3 0 0
0 0 1
5 3 5
1 4 4
4 0 0
5 1 2
2 0 1
10 9
5 4 1
0 0 5
2 5 3
3 5 5
1 4 2
2 3 2
5 5 0
4 0 3
5 2 1
5 3 2
10 8
0 0 1
2 0 0
0 0 2
0 2 2
0 2 1
1 1 1
1 2 1
1 2 0
1 0 0
0 2 0
10 3
0 2 5
2 2 5
5 2 3
0 5 1
5 2 2
1 3 2
1 5 2
3 0 3
3 3 1
2 3 3
10 6
3 3 0
2 2 0
2 1 0
3 0 2
1 0 0
1 1 1
0 0 3
3 1 2
2 2 2
1 0 2
10 9
1 2 1
1 2 2
2 1 1
1 1 1
0 2 2
2 0 0
0 1 1
2 2 0
1 2 0
2 2 1
10 4
1 1 0
1 1 3
3 1 3
0 3 1
2 1 0
3 3 1
0 1 1
0 2 2
2 3 2
0 0 2
10 2
2 2 1
1 2 2
0 1 1
2 1 2
1 2 1
2 1 0
1 1 1
1 2 0
0 2 0
0 0 2
10 6
0 4 1
1 1 1
0 4 2
0 4 0
1 1 2
4 0 4
0 2 1
1 0 1
4 4 0
1 2 0
10 4
3 2 0
3 3 0
2 0 0
2 1 3
2 1 0
3 1 2
0 1 2
2 0 1
2 3 1
1 1 1
10 3
0 3 4
1 1 5
3 3 0
2 5 0
2 3 5
2 2 5
5 5 0
5 2 1
5 4 5
2 2 2
10 8
2 1 2
2 2 0
2 2 1
0 2 2
0 1 2
1 1 1
0 0 0
2 2 2
1 0 1
1 2 2
10 2
3 2 3
3 0 0
2 1 2
1 0 1
1 0 2
1 0 0
2 3 0
3 3 0
1 2 2
1 3 2
10 9
2 0 3
1 2 2
1 2 1
5 5 2
2 5 0
0 4 1
1 1 0
0 5 3
0 2 1
3 1 5
10 7
0 1 0
1 2 2
1 3 0
1 2 3
1 1 1
0 2 3
1 0 0
3 0 2
3 1 1
1 2 1
10 4
2 2 2
0 3 1
2 2 3
3 0 0
3 0 2
1 0 2
3 2 1
2 0 2
2 0 0
3 3 3
10 4
0 0 1
1 1 2
2 1 3
1 2 1
0 1 1
3 2 1
0 3 2
2 1 2
1 3 1
3 2 0
10 5
1 1 2
2 1 0
1 2 0
0 2 0
2 0 2
2 1 2
2 2 0
1 1 1
1 2 1
0 1 2
10 5
2 1 0
2 2 2
0 1 1
1 0 0
2 2 0
2 2 1
2 1 1
2 0 1
0 1 2
0 2 0
10 2
4 5 5
4 3 4
3 3 5
3 3 3
4 0 4
2 2 2
2 1 5
5 5 0
3 5 0
4 3 1
10 3
1 1 0
0 1 2
2 2 1
0 0 1
0 0 0
2 1 2
1 2 2
0 2 0
2 2 0
0 2 1
10 4
3 2 0
0 0 4
3 1 4
0 4 2
1 0 0
1 0 4
4 0 1
2 1 1
2 0 2
0 2 3
10 7
2 3 1
0 3 0
0 2 2
0 3 1
3 2 2
3 1 2
0 3 3
2 1 3
3 3 2
3 3 1
10 4
0 1 5
5 1 0
4 5 2
0 2 5
2 4 1
0 3 3
3 5 0
0 0 3
4 3 1
4 5 4
10 9
2 4 1
0 4 4
1 2 0
3 0 2
0 4 1
1 1 3
3 0 3
0 3 4
0 2 1
1 3 3
10 8
2 1 1
1 2 2
1 1 0
0 0 1
0 1 0
2 0 0
0 1 1
2 2 0
1 0 0
0 0 2
10 3
2 1 0
3 3 2
0 1 3
5 2 5
2 5 2
0 0 0
5 1 2
5 5 1
4 0 0
1 2 0
10 2
1 2 0
3 3 1
2 1 0
0 1 0
3 1 0
1 0 0
3 2 2
2 0 3
2 1 3
0 3 0
10 2
2 5 0
1 3 5
2 4 5
0 2 3
2 0 2
5 3 5
2 4 3
4 0 2
5 1 4
2 5 5
10 3
0 0 1
1 0 1
0 0 2
2 0 1
0 1 1
2 1 1
1 2 2
2 2 2
1 0 2
0 2 1
10 4
5 4 2
2 4 1
1 5 3
1 4 4
1 4 1
0 4 3
3 5 3
1 1 2
5 1 3
0 3 2
10 3
1 1 3
3 3 1
0 3 0
1 3 3
0 0 3
3 2 2
2 0 3
1 1 0
3 2 1
1 1 2
10 8
2 4 3
1 4 0
1 2 4
3 4 2
2 1 3
3 2 2
3 1 0
0 2 1
1 0 1
0 3 3
10 9
1 1 0
1 2 1
2 2 1
2 0 1
2 2 2
0 2 0
0 1 2
0 2 1
2 1 0
1 1 1
10 8
0 2 2
0 2 1
0 3 2
3 1 0
1 0 3
2 3 1
0 1 3
0 2 0
2 0 0
2 3 0
10 2
3 2 4
5 5 5
4 3 5
0 4 5
4 2 0
5 0 1
5 0 4
2 4 3
4 0 1
0 4 1
10 5
4 3 4
1 2 4
2 4 0
2 2 0
2 0 0
0 1 3
4 4 4
3 4 1
1 3 4
1 4 3
10 6
1 0 2
2 2 0
1 1 1
1 2 2
0 2 1
0 1 0
1 1 0
0 1 2
2 2 2
2 1 2
10 3
0 0 2
2 0 1
0 1 0
2 1 0
0 2 2
1 1 1
1 0 0
0 0 0
1 0 1
0 1 2
10 9
2 1 2
1 0 2
0 2 0
0 1 1
1 2 2
1 0 1
1 1 0
2 0 0
2 0 1
0 0 0
10 9
3 2 0
4 1 3
4 3 0
1 1 4
4 4 0
0 3 1
2 2 1
1 2 4
2 0 4
4 0 1
10 5
1 1 0
2 2 2
0 0 0
2 1 2
2 2 1
2 0 0
0 2 1
2 2 0
1 0 2
0 2 0
10 4
0 1 1
1 2 1
1 1 1
1 1 0
2 0 2
2 2 0
0 2 0
0 0 0
1 2 2
0 2 2
10 8
2 4 5
2 2 2
4 5 4
3 5 1
2 5 1
0 3 3
0 3 4
1 5 3
2 1 3
4 4 0
10 7
1 1 0
2 0 1
1 2 0
0 1 0
2 1 0
1 2 2
0 1 2
0 1 1
2 1 2
0 0 2
10 4
3 1 3
4 0 2
2 4 0
1 0 1
2 3 3
1 2 2
1 0 2
2 3 2
0 4 4
3 3 3
10 9
3 0 0
1 0 0
1 0 3
3 3 3
1 1 0
0 1 2
2 3 3
2 2 3
2 2 0
0 0 3
10 8
1 0 0
1 1 2
2 0 0
1 0 1
0 1 2
2 2 0
2 0 1
0 0 2
1 0 2
1 2 1
10 9
0 2 2
2 0 1
2 1 2
2 0 0
0 1 2
1 0 0
0 0 2
2 2 0
1 0 1
2 0 2
10 6
5 5 4
4 2 0
4 4 3
4 0 2
0 3 3
2 0 4
5 1 4
1 5 5
2 1 2
5 4 0
10 7
3 1 2
4 0 4
4 3 2
0 4 5
5 5 2
4 5 5
1 4 3
1 4 4
4 2 5
2 1 0
10 5
3 2 1
2 3 3
1 3 3
3 3 0
3 0 1
1 0 0
3 3 1
2 0 2
3 1 1
3 1 2
10 7
1 0 0
5 0 2
4 0 4
2 3 1
4 4 1
2 4 0
2 1 2
1 3 4
4 3 4
3 4 4
10 9
2 0 5
0 5 0
2 3 3
3 5 3
4 4 0
5 3 2
1 1 0
2 4 5
1 5 0
5 3 0
10 2
1 0 2
1 4 2
2 2 2
3 1 2
1 2 4
4 1 4
1 3 3
3 0 0
3 4 2
1 4 3
10 5
0 0 3
0 0 5
0 5 3
2 2 2
0 3 0
1 1 2
4 4 0
2 5 3
0 0 1
3 5 5
10 4
4 4 2
5 5 4
5 4 1
2 1 2
2 5 2
3 0 2
3 4 3
2 3 3
0 1 4
1 0 3
10 7
2 3 2
1 0 1
1 1 2
3 1 1
1 3 2
4 3 3
5 0 2
3 5 0
0 3 5
1 5 4
10 5
1 3 1
0 5 2
4 4 5
3 1 3
0 4 1
1 0 2
4 1 3
3 5 4
2 0 3
3 5 0
10 6
1 3 3
2 1 2
3 2 5
5 0 4
2 5 5
2 2 2
0 4 4
4 4 5
0 0 4
3 5 4
10 8
0 4 3
1 2 3
4 4 4
0 2 1
4 3 3
2 2 0
0 3 3
1 4 2
3 1 3
0 0 2
10 4
2 2 0
0 1 1
1 0 3
1 3 1
2 1 3
3 2 1
0 1 3
2 1 1
1 0 1
0 0 3
10 7
1 3 3
0 4 5
3 2 2
0 3 0
5 3 5
1 0 3
3 4 5
4 2 2
0 2 1
1 2 2
10 7
4 0 0
5 1 3
3 2 3
5 0 2
0 0 1
5 0 5
0 5 3
4 1 3
5 5 0
3 4 5
10 6
1 2 0
2 1 0
1 0 3
3 2 3
3 3 1
2 3 1
1 3 3
1 3 1
3 0 0
0 1 3
10 3
2 1 1
0 2 0
2 0 0
1 1 1
0 0 0
1 2 2
2 1 2
1 1 2
0 1 2
2 1 0
10 2
5 5 4
2 1 1
0 5 2
5 1 3
1 1 0
1 1 1
3 0 3
4 3 4
5 4 2
2 2 5
10 4
2 2 2
0 1 2
0 2 0
0 0 1
0 2 1
1 2 0
2 1 2
0 1 0
2 0 0
1 1 1
10 4
2 0 2
2 1 2
0 1 0
1 2 0
0 2 1
1 0 0
1 1 1
0 2 2
2 0 0
0 0 2
10 9
1 0 0
0 1 3
0 0 5
3 3 1
3 4 2
4 5 2
0 3 2
4 3 0
3 1 4
4 5 4
10 7
5 5 3
2 5 5
4 4 4
4 4 0
0 0 5
0 1 2
5 2 4
5 4 2
0 3 0
1 1 3
10 4
0 3 1
1 1 0
3 2 0
1 1 2
0 2 1
2 1 0
3 2 3
3 3 3
2 0 0
0 3 3
10 8
0 4 4
5 1 4
0 1 3
0 2 3
0 0 4
1 5 3
0 2 1
5 5 4
0 4 5
5 3 4
10 9
3 2 0
3 2 2
2 2 3
3 1 3
1 3 3
0 0 2
2 3 1
1 0 1
0 3 3
3 3 0
10 5
3 3 1
2 0 3
0 3 5
3 0 2
4 3 0
5 1 1
3 5 2
5 5 3
3 4 1
1 4 0
10 5
3 3 1
3 2 3
2 3 1
0 0 0
2 1 3
2 2 1
0 1 0
1 0 2
1 1 0
0 1 3
10 8
1 0 2
2 2 1
4 0 2
1 2 0
3 4 4
0 4 3
1 0 1
2 3 4
2 4 4
4 2 1
10 8
4 0 4
2 1 1
1 2 4
3 3 4
3 2 3
1 3 4
3 3 1
0 3 2
0 2 2
2 4 4
10 5
0 1 1
2 2 1
0 1 0
2 2 0
2 1 1
0 1 2
2 0 1
1 1 1
1 0 2
1 2 2
10 2
2 0 1
1 1 1
2 1 1
0 0 0
0 1 1
1 2 2
0 2 0
1 2 0
1 0 0
1 1 0
10 8
3 3 2
1 2 0
2 2 1
0 3 1
3 0 2
2 1 2
1 1 2
1 3 3
0 3 2
3 0 0
10 6
2 1 0
0 1 0
1 1 0
0 2 1
2 0 1
0 1 1
0 0 0
2 2 2
1 2 1
0 1 2
10 6
0 0 3
2 0 0
2 2 0
3 3 0
3 1 0
2 3 3
2 2 2
3 1 1
3 0 1
0 2 2
10 9
1 0 4
0 0 1
1 2 2
3 1 3
2 3 2
2 2 3
1 0 2
2 4 4
3 2 0
1 1 0
10 4
1 3 3
3 5 4
0 2 2
4 5 0
5 1 4
0 3 5
4 3 3
4 0 2
0 0 1
2 5 0
10 3
1 1 0
4 4 4
1 0 3
2 0 1
3 3 4
4 4 2
0 0 1
0 2 3
4 0 1
4 2 1
10 9
0 0 4
3 4 1
0 0 1
5 2 0
3 3 5
1 3 2
5 3 2
1 4 2
3 4 3
1 2 5
10 2
0 2 0
1 0 2
2 0 1
1 2 0
0 0 2
1 2 1
2 2 1
1 0 0
0 2 2
2 2 0
10 4
0 0 3
4 1 3
4 2 1
3 4 2
2 3 0
0 2 2
3 3 0
1 2 0
3 1 1
0 4 2
10 7
3 1 1
0 2 1
3 3 2
2 0 2
2 3 1
1 3 3
1 0 1
1 3 2
1 0 2
2 0 0
10 4
2 4 5
1 1 3
2 0 3
4 0 1
5 3 0
2 5 3
3 0 5
3 0 0
4 4 3
4 5 3
10 5
0 1 1
3 3 0
0 0 0
2 1 0
0 3 3
1 0 2
4 1 1
3 2 3
2 2 0
1 4 1
10 6
2 0 1
1 3 3
1 1 2
2 2 2
1 2 2
1 3 0
2 0 0
0 1 2
1 1 3
2 1 3
10 5
1 1 0
0 0 0
1 0 2
1 0 1
2 1 1
2 2 1
0 0 2
1 0 0
1 2 2
0 2 2
10 3
4 4 4
5 3 3
5 5 5
3 5 0
1 1 5
3 5 4
3 2 5
3 3 1
2 3 0
4 3 4
10 2
4 0 2
3 4 3
1 2 4
0 1 4
5 3 2
5 3 1
4 0 3
0 1 5
4 2 2
3 5 3
10 3
1 3 0
3 3 0
3 2 0
0 4 3
3 2 1
4 1 3
1 1 0
1 2 4
2 2 2
0 3 4
10 8
4 3 2
1 3 1
4 4 4
1 4 0
1 0 0
3 1 3
0 1 2
1 2 0
3 0 1
4 0 4
10 8
2 0 0
1 0 0
0 3 1
2 3 0
2 0 1
1 2 0
0 3 3
2 1 3
1 0 1
1 0 3
10 5
1 2 0
0 2 0
2 3 1
1 3 1
3 1 2
2 3 0
3 0 2
1 3 2
3 2 3
0 1 2
10 5
2 1 0
2 2 1
2 0 1
0 1 2
2 2 0
0 0 1
1 0 1
2 1 2
1 1 2
1 2 2
10 5
1 2 0
1 1 1
1 1 0
1 0 0
0 0 2
0 2 1
2 1 0
2 2 0
0 1 0
0 0 0
10 5
0 3 2
3 0 4
4 3 4
1 1 2
4 4 4
0 4 0
3 2 0
1 3 3
4 1 2
2 4 1
10 5
2 4 0
3 3 1
1 4 3
1 2 2
3 4 3
0 3 0
4 4 3
2 1 1
1 4 0
1 1 1
10 6
3 2 1
1 3 2
2 0 2
1 0 2
3 0 2
0 2 3
0 1 2
2 2 2
1 3 1
2 1 0
10 3
0 0 2
0 2 1
1 2 2
3 2 1
3 2 2
1 0 2
1 2 1
2 1 1
2 2 0
2 1 2
10 5
4 4 3
1 1 1
1 0 3
2 2 2
2 1 1
0 3 3
4 1 1
1 4 4
0 0 3
2 4 2
10 4
1 1 0
0 0 2
1 3 0
3 2 1
2 0 2
3 3 3
1 3 3
0 1 3
3 0 2
1 0 1
10 4
1 0 3
3 1 2
1 0 0
1 3 2
3 3 1
2 0 1
2 1 3
2 1 2
2 2 3
0 3 0
10 4
2 2 0
0 1 2
1 2 1
0 2 2
1 0 0
0 1 0
1 2 2
0 1 1
1 1 0
1 0 1
10 3
4 1 3
1 2 4
0 0 1
0 0 0
3 2 1
1 1 1
0 0 2
3 3 1
0 1 4
1 2 2
10 9
1 3 1
1 4 2
2 2 3
1 0 3
4 3 3
4 0 1
0 0 3
3 4 2
4 4 1
0 1 2
10 8
2 0 1
1 2 1
2 0 0
1 1 0
1 1 2
2 1 1
1 0 0
2 1 2
0 0 0
1 2 2
10 4
3 2 1
2 4 1
0 1 0
2 4 0
4 3 5
4 3 3
2 5 3
4 3 4
5 4 5
0 4 1
10 5
3 5 0
5 5 3
0 3 1
4 2 4
2 5 3
0 0 2
0 2 5
0 2 3
4 4 4
5 1 5
10 6
1 2 3
3 3 1
2 0 0
3 3 3
2 2 2
0 3 3
2 0 2
3 1 1
3 2 2
0 1 1
10 8
2 0 0
0 1 4
1 2 3
2 1 0
1 2 4
0 0 2
3 3 1
4 2 3
4 0 4
1 1 2
10 3
1 0 2
0 2 0
2 2 1
1 2 0
0 1 0
2 1 0
0 1 2
1 2 1
2 2 0
1 1 0
10 6
1 0 4
3 1 4
5 3 3
5 1 4
4 5 3
1 5 0
5 0 3
4 2 1
1 2 3
3 5 2
10 4
1 1 5
1 5 5
0 2 5
3 1 2
4 5 3
2 4 5
1 5 1
0 2 4
1 2 0
3 5 2
10 7
1 3 0
2 2 3
2 3 1
1 3 1
1 2 1
0 1 0
3 3 2
0 2 3
2 3 0
1 1 3
10 7
0 3 0
0 1 2
1 0 2
1 2 2
2 3 3
3 3 2
0 0 3
0 1 1
1 3 0
3 2 2
10 4
1 4 2
1 4 1
3 3 0
4 3 2
2 1 2
3 4 3
3 3 2
1 2 4
2 4 1
1 3 1
10 4
2 0 0
2 1 1
2 0 1
2 2 0
1 0 0
0 0 2
0 0 1
1 2 1
1 1 0
1 2 0
10 6
1 1 1
4 2 1
0 4 3
4 3 0
0 4 4
5 1 2
5 3 3
5 3 2
4 1 3
4 5 0
10 2
1 0 0
3 0 1
1 2 1
3 3 2
0 1 1
1 3 3
1 2 2
0 3 1
0 3 0
1 1 2
10 9
3 0 2
4 0 3
1 3 0
3 4 1
2 0 4
2 2 2
4 4 1
4 3 2
3 2 2
1 1 3
10 5
2 1 0
3 0 2
3 5 5
2 1 1
3 2 3
0 2 2
0 3 2
4 1 5
4 1 2
0 1 4
10 6
2 2 0
3 3 3
0 3 1
1 1 0
3 2 0
4 3 0
0 0 1
3 1 0
1 4 1
4 4 1
10 7
5 0 4
3 2 4
4 5 0
0 0 3
2 3 5
5 3 1
4 1 0
5 1 3
3 4 4
2 0 5
10 3
4 5 5
0 3 0
3 0 0
5 1 1
3 5 5
3 5 2
3 0 3
2 0 1
4 1 0
1 4 4
10 6
1 1 0
1 0 2
0 2 2
0 1 2
0 2 1
1 0 0
1 0 1
0 0 1
2 1 0
2 0 0
10 4
4 2 3
1 3 2
5 4 1
1 1 2
3 4 4
3 2 0
4 5 0
4 5 3
0 3 0
3 4 2
10 7
2 0 2
2 1 2
1 1 1
0 1 1
2 1 0
0 0 0
0 2 1
1 2 2
2 2 0
2 2 2
10 4
0 1 2
0 2 0
1 2 1
1 0 1
1 1 2
2 0 1
1 0 2
0 1 1
2 1 2
0 0 1
10 8
0 0 1
1 0 1
2 2 1
2 0 1
2 1 1
2 1 2
1 1 0
0 1 1
0 2 0
0 0 0
10 6
2 2 1
0 2 2
0 0 2
0 1 2
1 1 2
0 0 1
0 1 1
2 2 0
1 2 0
1 1 1
10 2
0 2 0
1 2 0
0 2 1
1 0 1
0 0 2
0 0 1
1 0 2
1 1 2
1 0 0
1 1 1
10 9
1 2 2
0 0 1
0 3 1
3 0 1
2 3 1
2 1 2
3 1 1
3 3 2
2 0 3
1 0 3
10 4
1 2 0
1 3 0
2 3 0
3 3 1
3 2 0
3 3 3
3 1 1
3 0 2
3 0 1
3 2 3
10 5
3 2 3
4 0 2
4 3 2
1 1 2
1 2 0
0 0 3
0 0 4
4 4 3
2 2 4
3 1 4
10 8
2 0 3
2 2 2
1 0 3
3 0 3
2 1 0
3 2 1
2 1 1
1 1 1
0 2 2
2 2 0
10 8
1 2 0
0 1 1
4 5 2
1 4 4
0 2 1
5 4 1
2 3 0
3 4 2
5 1 4
4 0 5
10 8
1 0 2
0 0 3
0 4 2
1 3 4
2 2 0
5 1 3
0 4 1
5 0 3
0 0 1
5 5 3
10 9
5 1 0
5 4 1
0 5 5
2 3 3
1 2 0
3 3 5
0 1 2
2 0 1
3 4 4
2 1 4
10 2
0 0 2
2 0 2
2 1 2
0 1 1
1 1 0
0 2 1
1 2 2
1 2 1
0 2 2
2 2 0
10 3
4 0 0
1 1 4
2 4 3
3 2 4
0 4 1
2 4 0
0 3 1
1 1 2
2 3 0
2 0 2
10 2
3 3 1
0 1 2
2 0 1
2 1 3
0 1 3
0 2 2
1 1 2
2 2 2
1 3 3
2 2 3
10 6
0 2 2
3 0 4
0 5 1
4 3 4
1 0 2
1 5 2
2 2 2
4 2 3
0 1 5
1 3 5
10 3
0 1 1
2 0 1
2 0 0
0 2 3
1 2 3
3 2 1
1 1 2
2 1 3
3 0 3
0 1 3
10 4
1 1 3
0 3 2
2 3 1
0 0 0
2 1 3
2 0 1
2 1 1
0 3 0
3 3 3
2 2 0
10 6
0 3 2
3 2 0
3 1 2
1 0 1
3 0 0
2 3 2
2 0 3
1 3 1
0 0 3
0 1 3
10 8
3 2 4
0 2 0
4 3 4
1 3 2
4 5 5
5 3 4
4 4 2
3 0 0
3 2 5
4 0 5
10 5
5 1 4
0 4 0
4 2 5
1 5 5
3 1 2
5 3 3
1 1 2
0 1 0
5 1 3
1 4 1
10 2
1 0 1
0 1 1
2 1 2
2 0 2
0 0 2
2 0 0
2 2 2
0 0 0
1 0 2
1 1 1
10 4
3 3 2
1 2 3
3 1 1
2 3 0
2 3 4
4 1 2
3 2 0
2 2 1
2 0 3
3 4 0
10 9
0 1 2
4 0 5
1 3 2
3 5 5
0 1 5
2 5 2
1 5 1
3 2 2
5 4 5
1 5 3
10 7
1 2 3
3 4 3
4 0 2
1 2 1
4 0 3
0 3 1
4 0 1
3 0 1
2 3 3
3 3 2
10 4
1 1 1
1 0 0
3 1 3
3 2 2
0 2 3
0 0 1
0 1 2
1 0 3
3 0 0
3 0 3
10 7
1 4 2
2 1 4
3 0 2
4 3 2
0 3 2
2 2 2
4 4 0
2 2 4
0 4 0
1 3 2
10 3
4 0 4
4 0 3
1 1 2
3 4 3
0 3 2
3 2 4
3 1 4
1 3 4
1 0 3
1 0 4
10 4
0 2 2
2 0 2
1 0 2
1 2 1
1 2 2
0 1 0
1 2 0
2 2 0
2 0 0
0 2 0
10 3
2 5 4
5 5 4
4 4 4
2 5 1
5 0 2
0 1 0
5 0 4
4 1 0
5 1 2
5 5 3
10 2
2 1 3
2 3 0
2 1 2
0 0 1
2 1 1
1 2 0
2 0 2
0 1 3
1 3 1
1 3 0
10 9
1 1 2
2 1 2
1 1 0
0 2 0
1 2 1
0 0 1
2 1 0
2 2 1
1 0 2
2 2 2
10 9
3 4 4
4 1 5
1 1 1
3 3 5
3 2 3
1 4 5
1 2 0
2 5 5
4 1 4
1 3 1
10 4
3 5 5
1 2 2
3 4 0
2 1 1
5 1 2
2 5 3
4 1 0
2 4 4
4 5 2
4 5 3
10 8
3 0 1
2 5 0
1 0 1
3 0 5
1 2 5
1 5 1
4 3 1
5 1 2
3 3 5
3 4 1
10 7
0 1 1
2 1 2
0 0 1
2 0 0
1 0 0
0 0 2
0 2 2
0 0 0
0 1 0
1 0 2
10 9
0 0 2
0 2 2
2 2 2
1 1 0
2 1 1
1 1 1
0 1 2
0 0 0
0 2 0
2 0 2
10 2
3 3 0
4 3 2
0 3 1
1 1 3
2 0 4
4 1 0
2 4 0
0 0 1
4 0 1
3 1 4
10 2
3 2 0
3 3 0
0 0 1
2 1 2
2 1 3
0 3 0
3 2 2
0 2 3
0 0 2
2 2 1
10 7
0 0 3
4 0 0
2 5 3
1 2 5
0 3 5
3 5 1
0 5 5
3 0 3
4 0 3
1 3 5
10 6
0 1 2
1 1 0
0 1 0
2 2 1
2 0 0
0 0 0
1 0 0
0 1 1
1 2 2
2 0 1
10 3
2 2 3
1 3 1
5 3 2
5 5 2
0 4 0
2 5 5
3 0 3
5 4 4
3 4 3
3 5 0
10 6
0 3 0
0 1 2
3 2 2
1 1 1
3 1 0
0 0 1
1 2 0
3 1 2
0 2 0
0 0 0
10 3
0 3 3
3 4 4
0 2 4
4 1 4
1 1 1
0 1 4
2 0 1
0 1 0
1 3 3
2 1 2
10 6
1 1 2
0 3 1
0 1 2
2 1 1
1 0 3
0 0 1
3 1 3
0 0 0
2 0 2
2 3 0
10 5
0 0 1
3 0 3
1 1 2
0 1 2
1 1 3
1 1 0
0 1 0
2 1 1
2 2 3
2 3 3
10 3
3 2 3
1 3 4
0 1 3
1 0 1
4 0 2
2 4 1
0 4 1
4 0 0
0 2 4
2 3 1
10 6
1 1 2
0 0 2
2 0 2
2 1 2
0 2 1
1 3 2
3 3 1
2 2 0
2 1 1
0 1 3
10 7
0 0 3
0 2 2
1 2 0
2 3 1
0 3 0
0 3 3
2 0 0
1 3 1
1 1 0
2 2 0
10 7
1 2 1
0 1 1
1 1 2
0 1 0
0 2 2
0 2 1
1 0 0
1 2 2
1 0 1
1 1 0
10 8
2 2 2
2 1 1
0 0 2
1 2 0
1 2 1
0 1 2
2 2 1
0 2 0
1 2 2
0 2 2
10 2
1 2 1
3 0 1
3 1 1
1 1 2
1 2 3
1 1 3
2 3 3
2 1 1
1 3 1
2 1 0
10 6
2 3 1
3 2 2
2 0 0
0 0 0
1 3 0
2 2 0
3 3 0
2 1 0
3 1 0
0 2 3
10 3
0 1 2
0 2 0
1 3 4
3 3 3
0 1 0
1 3 1
4 0 0
1 1 1
0 4 3
0 0 0
10 9
2 1 2
1 1 0
2 2 3
0 1 0
1 3 3
3 3 2
3 2 2
0 2 2
0 3 3
1 1 1
10 4
4 3 1
0 4 5
1 3 5
0 2 4
2 4 2
3 5 2
1 3 0
5 5 5
3 0 3
0 3 2
10 6
2 3 1
2 0 1
4 0 4
1 5 4
2 0 0
3 1 1
2 4 3
0 2 4
2 1 4
5 5 0
10 9
1 1 3
5 4 0
2 5 4
4 3 3
1 3 0
2 1 4
0 5 2
3 4 0
3 5 2
2 3 5
10 5
1 0 1
0 4 3
4 5 4
1 4 2
4 3 0
2 4 2
3 5 2
3 5 3
0 2 4
3 2 1
10 4
0 2 0
2 2 0
1 1 1
0 1 1
2 2 2
0 0 1
2 0 1
1 2 1
2 1 1
0 1 0
10 4
2 5 5
3 2 3
5 3 4
1 3 0
0 3 2
1 4 0
1 0 1
1 5 3
3 1 0
3 3 5
10 8
1 4 3
2 4 1
1 4 2
4 3 1
1 4 1
4 2 2
4 4 2
1 0 3
4 0 0
0 3 3
10 5
0 1 4
4 1 4
2 1 1
1 1 0
4 3 1
3 2 0
1 0 1
3 1 1
2 0 4
4 0 3
10 8
1 5 0
5 0 1
1 4 4
3 4 4
4 0 0
1 3 4
2 5 5
1 1 1
5 2 5
2 5 3
10 7
4 3 0
4 1 1
4 4 1
1 4 3
4 3 2
0 1 4
0 3 2
4 0 1
4 0 0
1 4 4
10 3
2 2 0
0 3 0
1 2 0
0 2 2
2 0 0
2 2 3
1 2 1
1 0 1
3 2 2
2 3 3
10 6
2 1 2
1 2 2
0 0 1
1 1 0
2 0 1
2 0 2
0 1 1
2 0 0
1 0 0
1 1 1
10 5
1 2 3
3 0 0
3 0 3
0 4 3
4 4 3
1 4 3
4 0 0
2 3 3
4 3 0
3 0 1
10 4
1 3 4
1 5 0
2 3 2
0 3 1
3 3 0
4 0 1
3 2 2
0 0 1
3 1 1
2 0 4
10 4
2 3 0
0 5 4
3 0 1
2 4 1
5 3 3
2 5 2
4 5 2
5 1 5
3 3 0
5 3 1
10 3
4 1 4
4 5 3
5 4 2
5 4 5
4 1 0
0 2 1
4 2 1
2 0 4
3 2 2
1 2 2
10 9
2 0 0
2 0 2
0 2 0
0 0 2
1 2 2
0 2 2
1 1 2
2 2 2
2 1 2
0 2 1
10 6
4 4 4
0 1 2
0 2 1
1 0 4
5 1 1
2 0 1
1 4 1
2 3 5
0 3 4
4 5 3
10 5
0 0 1
0 0 3
3 5 4
0 5 0
1 5 0
1 3 4
4 4 3
2 0 1
0 4 4
3 0 3
10 3
0 5 5
4 0 2
2 2 2
2 1 3
5 1 5
0 4 3
4 4 0
5 2 0
1 1 3
0 5 1
10 5
2 2 2
0 4 4
3 1 4
3 4 1
1 3 1
3 2 4
1 2 3
0 2 4
2 3 1
1 4 0
10 3
2 2 1
1 1 0
2 1 2
3 0 0
0 2 2
1 0 2
3 2 3
3 3 2
3 3 1
1 2 1
10 9
0 0 3
3 3 3
3 0 2
0 3 0
1 0 3
2 0 0
0 1 2
1 1 0
0 2 2
2 1 3
10 4
1 2 1
1 2 2
1 0 0
0 0 3
0 1 1
2 3 2
3 1 3
3 1 0
3 1 1
1 1 1
10 3
2 0 0
2 2 3
4 1 3
3 5 5
2 4 0
5 5 0
0 3 2
3 5 1
2 2 1
4 2 2
10 8
2 3 2
3 0 1
1 2 2
2 2 1
0 2 2
2 1 3
1 0 2
3 3 0
3 2 3
1 0 1
10 2
2 5 1
5 1 2
0 0 0
3 2 1
3 1 4
2 3 1
4 4 2
5 3 0
4 5 0
3 2 2
10 5
2 4 1
3 5 5
4 5 3
2 4 2
5 0 2
1 2 1
2 0 1
3 4 5
3 4 4
5 0 0
10 4
2 2 0
2 1 1
1 1 1
0 1 0
1 0 2
0 2 0
1 0 0
1 1 2
2 0 1
1 1 0
10 2
1 1 3
0 0 0
2 1 4
1 0 0
1 3 4
0 2 2
4 0 4
3 4 2
3 4 0
0 3 4
10 9
0 0 0
0 0 2
3 3 3
3 2 3
2 0 2
1 2 0
1 2 2
0 1 3
3 3 0
3 1 2
10 9
1 3 0
0 2 0
2 4 1
4 4 3
0 1 2
0 0 2
3 2 0
4 1 2
3 2 4
0 2 1
10 5
2 0 1
2 1 2
0 1 2
0 1 0
2 2 0
1 1 0
2 0 0
2 0 2
0 0 2
1 2 0
10 5
2 2 0
1 1 2
0 0 2
0 2 2
1 1 1
2 2 1
0 1 2
2 0 2
0 0 0
0 1 0
10 8
3 2 2
3 4 1
5 1 0
0 1 2
1 5 1
5 2 1
3 4 5
1 4 5
5 4 1
4 3 1
10 9
0 4 0
3 1 2
0 1 2
1 2 4
1 0 1
3 1 3
0 2 2
1 3 1
0 0 2
3 4 4
10 9
2 3 0
2 0 3
0 1 1
1 3 3
3 0 2
2 1 0
0 2 2
3 0 0
2 2 1
0 0 1
10 4
0 0 2
1 1 3
1 2 3
1 3 3
3 1 1
1 2 1
0 1 0
0 2 3
1 0 1
1 1 2
10 5
3 0 3
0 1 1
1 2 3
2 1 3
3 1 3
3 2 2
1 0 2
1 2 2
3 1 2
3 0 2
10 2
0 2 4
4 1 2
3 1 2
2 2 0
1 3 0
4 0 3
3 4 0
0 4 2
3 0 2
1 2 4
10 5
2 0 1
0 1 2
0 2 1
2 2 1
1 0 2
1 0 1
2 2 0
0 1 0
2 0 2
1 1 1
10 4
1 1 0
2 0 0
2 0 1
1 1 1
2 2 0
0 0 0
1 0 0
2 2 1
2 2 2
0 1 1
10 3
2 3 2
3 2 0
0 3 3
1 0 1
0 1 2
3 1 0
1 3 0
0 3 2
1 3 2
0 0 0
10 7
0 4 1
2 0 2
5 3 0
4 3 2
3 5 5
3 3 4
4 5 4
0 0 1
5 4 4
0 0 3
10 8
0 1 1
1 2 5
5 5 1
4 2 5
4 3 5
1 5 5
1 3 0
0 0 1
0 2 4
3 1 3
10 8
4 4 4
5 3 3
3 3 0
3 3 2
3 4 2
1 1 2
4 1 3
0 0 5
0 2 2
3 5 5
10 8
2 0 1
2 3 3
1 1 0
3 2 3
3 4 4
1 0 3
4 1 1
1 0 1
4 0 2
0 4 1
10 9
1 1 4
4 1 2
2 2 0
1 4 4
3 1 0
0 3 2
4 3 2
1 3 4
4 0 4
2 2 2
10 4
0 4 0
1 4 3
0 3 4
1 2 4
4 0 3
0 3 3
4 2 0
0 2 0
2 4 1
2 1 1
10 3
1 5 5
3 0 1
0 4 2
0 2 1
4 5 4
5 2 4
3 4 0
3 3 4
1 3 2
3 2 2
10 5
2 0 1
2 2 1
0 0 2
1 0 2
2 1 2
0 2 0
1 2 2
1 2 0
1 0 1
2 0 2
10 8
2 2 0
1 3 3
2 5 4
4 1 0
1 0 0
0 3 5
3 0 4
5 1 1
0 5 4
1 1 2
10 3
1 1 1
1 2 2
0 2 1
2 1 0
1 0 1
0 1 2
0 2 2
0 0 1
1 2 1
0 1 0
10 6
0 2 2
2 2 2
0 2 1
1 1 0
1 2 1
1 2 2
0 0 2
0 1 2
0 0 0
1 0 1
10 4
5 2 5
2 3 5
5 3 0
1 4 0
1 4 5
3 3 5
3 0 0
2 2 5
0 1 0
4 4 0
10 8
1 0 1
1 1 1
0 2 1
0 0 1
2 0 0
2 2 0
0 0 2
0 2 0
0 1 2
1 0 2
10 2
0 0 1
0 1 2
0 1 1
1 0 1
0 2 0
2 0 2
1 1 1
2 2 1
2 2 0
1 2 1
10 4
2 1 0
2 3 0
3 2 2
4 1 0
0 4 1
3 0 4
0 0 4
1 2 0
0 1 1
4 3 1
10 5
0 2 0
1 2 1
1 0 1
1 2 0
2 0 2
1 2 2
2 1 0
1 1 2
0 0 2
2 2 2
10 4
2 0 5
5 1 0
5 0 4
3 1 3
1 4 0
4 1 0
3 2 4
1 1 4
5 0 0
4 0 5
10 9
0 1 0
0 2 2
1 2 0
1 2 1
0 1 2
0 2 0
2 1 0
1 0 1
1 1 0
2 0 1
10 3
4 3 1
1 2 2
2 1 1
0 3 2
3 2 2
2 1 3
0 1 3
2 2 0
4 1 3
1 3 2
10 2
3 4 4
3 1 2
1 3 0
4 2 2
2 3 1
0 3 1
1 1 1
3 3 1
4 4 3
0 0 3
10 3
1 1 3
2 3 0
3 0 3
0 2 1
0 1 0
2 0 1
2 0 2
3 2 3
3 3 2
2 3 3
10 4
0 1 0
0 0 1
0 0 0
2 1 2
2 2 0
2 2 2
1 2 1
2 0 2
1 0 1
2 2 1
10 3
1 0 4
4 2 0
0 1 1
4 1 1
2 3 2
1 1 3
2 2 0
1 1 2
1 4 0
4 3 1
10 8
1 1 1
0 3 0
0 2 3
1 0 0
3 3 1
1 1 3
1 3 3
1 3 1
0 2 0
1 2 2
10 4
2 1 2
0 0 2
2 2 0
1 0 2
0 0 1
2 0 0
0 0 0
1 1 0
1 1 2
2 0 2
10 8
1 3 2
2 1 0
0 0 3
3 3 3
3 0 3
3 3 2
2 3 0
2 3 2
1 0 1
2 2 2
10 9
2 3 0
4 4 2
2 4 4
2 2 1
3 1 2
2 3 4
1 2 0
1 0 2
2 2 0
0 0 3
10 7
1 1 1
0 2 1
2 0 0
0 2 0
2 1 0
1 0 0
1 2 2
2 1 2
2 2 1
0 1 2
10 7
0 4 2
5 0 3
3 2 1
0 0 1
4 3 4
2 5 1
0 4 1
3 4 5
0 5 4
2 3 2
10 2
0 0 1
2 0 2
2 1 2
1 1 1
2 1 0
0 0 2
2 0 1
0 2 0
1 1 0
2 0 0
10 5
3 3 2
5 5 4
2 5 4
3 5 4
1 2 0
3 4 4
5 3 1
4 2 4
2 0 2
1 5 1
10 5
1 0 2
1 2 2
0 2 1
0 2 2
0 1 1
2 2 1
2 2 0
1 2 0
2 1 0
2 0 2
10 8
2 3 3
0 2 0
2 0 3
0 1 0
0 0 2
1 0 3
3 3 1
0 2 1
3 2 2
0 2 3
10 8
0 1 1
2 0 0
2 1 1
2 0 1
2 1 2
0 1 2
1 2 0
0 2 1
0 0 1
2 2 2
10 8
3 3 2
0 1 2
2 3 2
2 1 1
2 1 3
0 1 0
0 3 1
0 2 2
0 1 1
2 2 2
10 9
0 1 3
0 2 4
3 1 1
1 0 3
0 0 2
0 2 0
4 0 0
1 0 2
1 4 2
1 3 1
10 6
0 3 2
3 3 2
1 2 1
1 1 1
2 1 3
0 0 2
3 0 2
1 0 1
0 1 3
3 1 2
10 4
3 4 4
0 1 4
0 3 0
3 2 0
3 0 4
1 0 2
0 0 3
1 0 3
1 3 2
2 1 1
10 4
2 3 3
3 0 3
2 2 2
2 0 3
1 2 2
3 1 0
3 2 1
0 3 3
3 0 0
0 3 1
10 9
2 4 3
2 4 4
4 2 0
3 1 1
1 3 0
0 2 2
0 0 4
1 4 3
2 0 1
4 3 0
10 9
1 0 1
2 2 0
1 1 2
2 2 2
1 0 2
2 1 1
2 1 2
2 0 1
0 2 0
2 0 0
10 7
3 3 2
1 0 3
0 1 0
1 1 1
0 0 2
0 0 1
2 1 1
2 0 2
1 2 2
3 1 0
10 3
0 0 2
1 1 3
3 3 0
1 0 2
2 2 1
1 0 0
0 1 3
2 1 2
1 3 3
0 2 3
10 5
1 2 1
1 1 1
1 0 2
1 2 2
2 1 0
2 2 1
0 2 2
0 1 1
0 0 1
2 1 1
10 7
3 2 0
2 2 2
3 3 3
1 0 3
0 1 0
3 3 1
1 3 2
0 3 2
2 2 0
2 1 2
10 3
0 4 2
0 1 4
2 1 2
0 3 0
5 4 1
5 0 2
3 3 2
3 1 3
5 5 2
0 4 0
10 8
2 1 4
3 2 3
3 4 1
3 2 4
3 5 0
0 5 4
1 3 2
1 0 5
0 1 4
2 4 1
10 7
2 4 3
1 3 3
3 1 0
2 0 2
2 0 1
3 2 4
2 2 2
1 4 3
1 4 4
4 2 1
10 2
3 1 3
1 2 2
2 0 3
2 3 3
0 0 4
1 0 1
0 2 0
2 2 2
3 1 4
0 3 4
10 5
2 2 0
0 0 2
2 2 2
1 0 1
1 1 0
0 0 1
2 1 2
2 0 0
1 2 1
0 2 0
10 4
3 3 4
4 1 4
2 3 2
1 3 4
3 4 2
4 3 4
1 1 0
1 4 3
0 1 1
2 4 3
10 7
4 2 1
2 1 1
4 2 3
1 2 0
1 2 2
0 3 2
3 3 2
4 2 4
3 3 4
0 2 4
10 8
4 1 5
2 1 3
1 3 2
2 0 2
4 5 3
1 0 1
2 1 0
0 3 0
2 0 5
1 2 3
10 7
0 1 0
0 1 1
0 1 2
2 0 0
2 2 2
0 0 2
2 2 1
1 1 0
0 2 1
2 1 1
10 5
3 0 1
3 3 0
3 3 1
3 2 0
1 3 3
3 0 3
1 1 2
3 0 2
1 3 2
3 1 1
10 3
3 1 2
1 0 0
0 2 2
1 2 0
2 3 0
3 0 2
2 1 1
3 0 1
2 0 1
3 0 0
10 8
5 4 3
3 3 5
0 0 1
4 5 1
4 0 2
1 1 4
3 5 1
0 5 1
5 0 1
5 1 5
10 3
3 1 5
5 4 0
4 1 2
5 0 2
1 1 0
2 5 0
3 1 2
5 3 4
3 0 0
0 1 4
10 6
5 0 4
0 3 0
5 5 1
0 5 3
4 3 5
2 1 4
4 2 0
0 0 5
5 2 0
0 4 0
10 6
0 1 2
1 2 0
0 1 0
2 2 1
1 1 0
1 2 1
0 2 1
1 2 2
2 1 2
0 0 2
10 6
0 1 3
2 2 1
1 2 2
2 3 0
1 0 3
2 0 2
0 2 3
1 1 1
2 3 1
1 0 0
10 2
0 1 0
2 2 0
2 1 2
2 2 3
1 2 1
2 3 0
3 1 0
1 0 3
3 3 1
3 3 3
10 2
2 1 1
0 5 4
0 3 0
5 3 1
3 0 1
4 0 5
3 4 3
3 3 3
1 4 1
5 4 4
10 6
0 2 1
1 1 0
2 2 0
2 1 2
2 1 1
2 0 1
1 2 0
2 1 0
0 1 1
0 1 2
10 9
0 2 0
3 3 2
3 3 0
2 2 2
3 0 0
2 3 3
2 3 2
0 2 3
1 1 0
1 1 3
10 7
2 4 2
0 4 3
4 3 0
4 5 4
1 1 2
2 0 5
1 3 0
5 5 1
5 4 0
3 3 5
10 4
3 2 3
0 1 4
2 3 4
0 4 3
3 3 0
4 3 4
4 4 1
3 4 1
4 1 0
4 4 3
10 9
0 1 2
3 0 0
2 2 0
0 0 3
0 2 2
0 3 2
2 2 2
0 0 2
0 2 1
0 0 0
10 9
4 2 5
1 1 4
5 0 5
3 1 5
3 5 1
1 4 0
1 3 3
5 0 3
1 5 5
2 0 3
10 5
4 4 2
2 1 1
0 0 1
3 1 0
2 4 4
0 3 0
4 4 4
3 1 2
4 3 1
3 0 1
10 5
0 1 2
2 1 0
2 0 2
0 0 0
2 2 0
1 1 1
2 2 1
2 1 1
2 0 1
2 2 2
10 4
2 2 1
0 1 1
0 0 0
2 1 1
1 0 0
2 2 2
0 0 1
2 1 0
1 1 1
0 2 1
10 2
3 3 1
0 1 3
2 3 3
0 0 0
0 2 3
1 0 0
0 1 1
1 2 3
1 1 2
0 0 2
10 6
3 2 3
3 2 2
3 1 0
2 2 0
1 0 0
1 1 0
0 2 1
0 2 0
3 0 3
2 0 0
10 3
0 0 2
1 0 1
1 2 1
0 2 1
2 1 0
1 0 2
0 0 1
2 0 2
2 2 1
2 0 0
10 7
5 2 5
1 3 1
2 0 4
2 5 1
0 1 5
3 5 4
2 3 1
2 1 5
1 5 0
5 2 0
10 6
2 2 2
2 2 0
0 0 0
2 0 0
1 2 2
1 1 1
0 0 2
0 2 0
0 2 2
1 1 0
10 9
1 0 0
0 2 2
0 0 3
3 2 0
1 2 3
3 0 0
1 3 2
1 1 0
2 2 1
0 2 0
10 2
2 1 0
0 2 0
1 1 1
0 2 1
2 1 2
0 0 0
1 1 0
2 2 0
0 1 1
0 2 2
10 5
0 2 1
1 0 0
1 0 1
2 2 1
0 1 0
2 0 0
1 1 2
0 1 2
0 0 1
2 0 1
10 6
4 3 4
1 3 2
3 0 1
3 1 0
1 4 4
1 1 3
4 2 3
0 3 0
0 1 3
0 4 1
10 3
1 1 1
1 0 3
2 1 0
0 2 3
1 0 1
3 3 2
1 2 0
0 1 3
2 1 1
3 2 1
10 9
2 5 4
3 1 2
3 5 5
3 3 2
5 2 0
0 5 1
3 4 3
5 3 1
4 5 2
4 1 3
10 4
2 4 0
1 3 2
2 1 1
2 1 2
2 1 3
4 0 3
2 0 4
3 2 1
1 2 4
2 0 1
10 3
2 2 0
3 2 2
0 3 3
1 3 0
3 2 1
1 1 3
0 2 0
2 1 0
2 2 3
0 3 0
10 9
3 3 3
2 0 2
2 2 2
2 2 1
1 2 0
2 2 0
1 0 1
3 2 2
0 2 0
3 3 0
10 6
1 2 0
0 2 3
3 1 1
2 0 0
3 1 2
0 0 3
3 0 2
3 0 3
1 1 0
2 1 1
10 7
4 1 1
4 4 3
3 3 0
0 4 4
0 2 0
2 4 2
1 2 1
0 3 4
4 4 4
1 0 4
10 2
2 0 1
2 2 1
3 1 1
0 3 3
0 3 0
1 1 3
1 2 2
3 2 0
2 0 3
1 1 2
10 9
3 1 0
3 2 3
2 1 2
2 0 0
1 3 1
1 1 3
0 1 2
1 0 3
2 0 3
2 3 1
10 9
0 4 0
5 4 3
0 1 4
5 4 1
1 2 0
2 3 4
5 0 2
5 1 2
0 2 1
0 5 4
10 2
1 0 1
2 0 1
2 1 1
0 0 0
2 0 2
2 1 0
1 2 2
0 1 0
1 0 2
2 2 2
10 8
2 4 3
4 4 1
4 3 2
1 3 2
3 3 4
0 0 4
2 0 4
4 3 1
1 4 0
3 1 0
10 5
3 3 1
3 3 2
3 1 0
2 2 3
2 0 2
0 3 1
3 0 2
3 2 3
0 0 1
2 0 0
10 9
0 3 3
4 2 1
0 0 2
4 2 3
3 1 1
3 4 3
4 3 4
0 1 3
3 1 4
2 3 0
10 3
1 1 3
2 2 1
1 1 2
2 3 1
0 1 3
1 2 0
3 3 2
2 0 0
1 2 3
0 1 0
10 9
3 2 1
5 3 4
5 0 5
1 3 4
2 2 2
2 5 2
5 3 3
1 0 5
1 4 5
5 2 4
10 8
3 1 2
1 1 2
2 1 0
3 3 0
0 0 0
1 3 2
3 2 1
3 0 0
2 1 3
0 3 3
10 2
0 1 1
2 3 4
1 3 3
3 1 3
0 1 0
3 4 3
1 1 1
0 1 4
3 0 3
3 3 1
10 2
0 4 2
2 3 1
1 4 1
3 2 1
2 4 4
4 3 3
0 3 2
1 3 3
2 1 1
1 0 3
10 2
2 1 0
2 3 2
2 0 0
0 1 2
0 1 1
3 3 3
0 1 0
3 2 2
0 3 1
3 0 0
10 9
2 3 3
1 0 0
3 3 3
0 2 2
1 4 2
0 4 3
4 1 0
1 0 4
0 2 4
0 2 3
10 3
0 1 3
1 1 3
0 1 1
1 3 3
1 0 2
1 2 0
3 0 3
1 3 2
0 0 1
2 1 0
10 6
3 1 3
0 0 3
1 0 0
2 0 2
2 1 2
0 1 3
2 3 0
0 0 2
3 2 1
3 2 0
10 5
1 0 2
0 2 2
1 1 0
1 0 1
1 2 2
1 1 2
2 1 1
1 1 1
1 0 0
2 0 0
10 8
1 3 0
3 0 4
1 0 4
1 1 3
4 1 0
1 3 3
3 4 0
2 2 4
3 1 4
0 3 4
10 2
0 4 5
3 0 2
0 2 0
1 2 1
1 5 5
3 2 5
5 4 4
0 2 4
2 2 1
5 1 5
10 5
4 1 4
0 4 2
2 4 0
1 3 4
1 4 2
3 1 4
3 3 2
1 3 3
3 2 4
1 2 3
10 7
0 2 2
2 1 0
1 0 2
0 1 1
2 0 1
0 0 1
2 0 2
1 0 0
1 2 0
0 1 2
10 2
0 0 2
1 1 2
2 2 2
1 1 0
1 2 1
2 1 2
1 0 0
2 2 1
1 0 1
0 0 1
10 2
1 0 2
2 2 0
1 1 2
1 2 0
2 1 1
0 0 1
0 2 2
2 0 1
1 0 1
1 2 1
10 7
1 1 1
2 2 1
1 2 0
1 2 1
0 0 2
1 2 2
1 1 2
1 1 0
2 1 2
0 1 0
10 3
0 1 2
1 0 1
1 1 2
2 0 2
1 0 2
2 2 2
0 0 0
1 2 1
0 1 0
2 2 1
10 8
5 2 0
4 3 5
2 1 4
2 0 2
3 3 0
1 2 5
4 4 0
0 4 5
4 5 3
0 2 4
10 2
1 2 3
3 1 3
3 0 0
2 0 2
2 1 0
0 1 2
1 0 2
2 1 3
0 3 2
3 0 2
10 4
4 3 1
3 4 0
2 3 2
2 3 0
1 0 0
2 4 3
3 1 2
4 4 3
2 2 4
2 0 0
10 7
2 0 1
3 3 3
1 0 2
2 3 1
0 2 0
2 1 0
1 0 0
0 2 2
0 2 1
1 2 1
10 9
0 1 0
1 2 2
0 2 2
1 1 0
1 1 2
1 1 1
0 0 0
0 0 1
1 0 0
0 2 1
10 9
0 0 5
1 2 0
4 4 1
3 5 3
5 5 0
5 0 4
3 0 1
2 0 3
4 3 1
5 3 2
10 4
1 2 1
1 2 0
2 0 2
2 1 2
0 0 2
2 2 1
1 0 2
1 1 1
2 0 0
0 1 0
10 6
4 2 0
4 1 0
2 3 3
0 0 2
3 3 1
2 0 2
3 1 4
0 1 2
0 0 4
3 4 4
10 9
3 2 5
5 3 1
5 4 0
1 4 2
1 5 0
5 5 5
4 0 3
2 5 2
4 2 2
5 5 4
10 4
3 1 2
0 0 0
2 4 2
1 3 3
3 1 4
1 4 0
3 3 2
0 2 0
1 1 0
4 4 3
10 4
1 0 2
4 4 3
1 0 5
3 2 0
0 1 0
2 0 1
3 4 1
3 5 4
4 1 4
4 0 1
10 4
0 3 2
2 3 3
0 1 3
3 0 3
2 2 0
0 2 0
1 1 0
3 2 2
0 2 1
0 0 3
10 3
1 4 3
1 4 4
2 1 1
0 0 0
3 3 4
1 0 1
4 1 4
1 3 2
4 1 2
0 2 0
10 9
2 3 1
3 2 3
1 1 0
0 2 1
3 1 1
1 2 0
2 0 3
2 2 3
2 3 0
0 0 0
10 9
2 0 0
4 2 2
0 0 2
3 3 3
3 3 1
0 4 4
3 2 1
4 1 1
3 2 3
3 4 0
10 8
0 1 2
0 1 1
1 0 0
0 1 0
1 1 1
1 2 1
1 1 0
0 2 2
1 0 1
2 1 1
10 6
0 5 3
4 1 2
5 0 4
0 3 4
2 2 1
3 3 5
1 5 4
5 5 3
1 4 0
2 5 1
10 6
0 0 1
1 4 0
3 1 2
2 1 3
2 0 4
2 0 3
4 4 4
2 1 4
3 3 0
4 1 3
10 8
1 1 0
2 0 1
1 0 2
0 2 0
1 2 0
0 2 1
0 0 1
2 2 0
2 2 2
1 1 1
10 6
4 0 1
3 1 0
0 2 4
0 3 0
5 3 3
2 3 3
5 3 0
2 4 1
0 5 5
3 5 5
10 4
2 3 0
3 1 1
0 1 0
1 2 0
3 3 2
2 1 2
2 1 3
3 1 3
0 2 0
3 1 0
10 6
2 2 0
3 2 2
1 3 3
1 3 0
0 0 2
3 0 2
1 2 0
1 0 1
1 1 1
3 2 0
10 8
2 0 0
1 0 2
0 2 0
0 1 1
0 0 2
2 0 1
2 1 1
0 1 2
0 0 0
1 2 0
10 2
2 1 1
2 2 1
1 2 0
0 0 2
2 1 2
0 0 1
2 1 0
0 1 2
2 2 0
0 2 2
10 9
2 1 3
3 1 2
0 4 4
3 2 1
3 3 2
2 3 2
3 3 1
1 4 2
2 1 2
4 1 0
10 7
1 4 3
3 4 4
4 1 2
3 1 3
3 0 0
2 1 3
0 1 2
3 1 4
1 1 1
3 0 2
10 4
2 1 1
1 0 3
1 2 4
3 2 2
1 5 1
3 5 3
5 1 1
5 2 4
2 2 2
5 4 2
10 6
2 2 1
2 2 0
1 1 2
1 3 2
3 2 3
0 1 3
1 2 0
0 2 3
1 1 1
0 0 2
10 6
0 2 0
0 0 0
2 1 0
0 1 1
0 0 1
2 0 1
2 2 1
1 2 0
1 2 2
0 1 0
10 4
3 4 2
1 4 4
4 4 4
2 1 3
2 3 3
2 3 1
3 4 1
1 3 1
0 2 3
3 4 3
10 8
2 0 0
2 2 2
2 1 1
1 0 2
2 0 2
0 2 1
1 0 1
0 2 2
2 2 0
2 1 2
10 6
1 0 0
0 0 0
1 2 1
0 2 2
0 2 0
2 1 0
0 1 1
2 2 0
0 1 0
0 2 1
10 2
0 4 1
1 3 3
2 0 2
2 3 2
2 1 1
3 5 1
4 1 5
3 4 1
0 5 3
1 3 5
10 4
2 3 2
0 0 0
3 2 1
3 1 1
1 1 1
1 1 2
0 1 0
2 2 1
0 0 2
3 2 0
10 6
3 2 0
1 2 0
4 4 3
2 2 1
3 2 3
4 3 4
1 1 2
3 4 1
1 2 3
1 1 3
10 5
0 0 0
2 2 0
0 2 2
1 2 2
0 1 0
0 0 2
2 0 2
2 1 2
1 1 1
0 0 1
10 6
3 4 2
5 0 4
3 5 1
4 1 2
1 1 1
1 3 2
4 4 2
5 5 2
2 0 1
5 5 5
10 7
1 1 0
1 4 1
3 1 0
2 3 0
4 2 2
3 1 2
0 2 0
2 3 3
3 1 4
3 2 1
10 6
2 1 2
2 2 1
0 0 2
0 1 0
0 0 0
0 2 0
1 1 2
1 1 1
0 2 2
2 0 2
10 5
2 2 0
2 2 3
3 1 1
2 1 3
0 2 3
3 0 1
1 1 3
1 2 3
2 0 1
1 3 1
10 3
1 1 3
2 2 3
2 0 0
2 2 2
1 3 1
1 3 2
3 0 3
1 2 0
1 0 0
2 3 1
10 5
1 2 1
0 2 1
1 1 0
1 0 2
0 1 1
2 0 0
2 2 2
1 0 1
1 2 2
0 0 1
10 3
2 1 1
2 1 2
1 1 0
0 1 0
2 1 0
0 2 2
1 1 2
2 0 2
1 0 0
2 0 0
10 6
4 0 1
1 0 0
1 4 2
4 2 2
3 1 4
0 3 4
1 2 1
3 4 3
2 0 0
3 3 0
10 7
0 0 2
3 4 2
4 4 4
0 4 3
0 3 4
1 0 3
4 2 1
0 2 2
4 3 1
2 3 4
10 6
2 2 2
0 0 0
0 0 2
0 1 0
2 2 0
2 0 2
1 2 0
2 1 2
2 1 0
0 1 1
10 2
2 0 0
1 0 0
0 1 1
0 2 0
2 0 2
0 2 2
2 2 0
0 0 0
1 2 2
1 1 0
10 3
1 1 4
3 3 1
0 2 1
0 4 3
4 3 3
1 3 2
0 0 4
4 4 2
3 4 1
4 3 0
10 9
1 4 2
3 2 2
2 0 0
4 0 0
3 3 4
4 3 4
2 1 2
3 3 2
1 0 2
0 4 1
10 4
3 3 3
3 1 3
3 0 3
0 1 2
2 2 1
0 3 0
1 3 0
1 2 0
3 1 0
2 1 3
10 4
0 3 2
3 1 0
0 3 1
1 0 0
1 1 3
3 2 1
1 1 2
0 0 1
3 0 2
0 1 0
10 2
2 1 2
2 0 0
2 0 2
1 1 0
0 1 2
1 0 2
0 0 2
1 2 2
0 2 2
0 0 1
10 3
2 2 0
0 1 1
1 2 2
0 0 2
3 2 1
2 2 3
2 3 0
0 3 1
2 0 2
0 3 2
10 2
1 1 2
2 2 1
1 2 0
2 0 2
0 0 1
1 0 0
0 2 1
2 1 0
2 1 1
2 0 1
10 8
2 0 1
3 4 2
0 0 0
3 0 2
4 1 3
0 3 2
2 2 4
2 1 1
0 0 4
1 0 3
10 5
1 2 2
2 0 2
0 2 2
1 0 0
1 1 1
0 2 1
2 2 2
1 1 2
0 0 0
0 2 0
10 3
1 1 0
2 2 0
0 1 0
0 3 3
1 2 1
2 0 3
3 3 1
0 2 0
1 3 2
0 3 0
10 9
4 1 4
2 3 0
1 2 3
0 5 0
3 1 5
4 3 3
5 3 0
5 2 5
3 5 4
3 2 2
10 2
0 3 2
2 2 1
2 3 3
2 1 0
0 2 1
1 2 0
1 0 3
0 0 0
1 1 1
2 3 1
10 9
0 2 2
1 1 2
1 0 2
2 1 0
1 1 1
0 1 2
2 0 0
2 1 2
1 2 0
0 2 1
10 9
0 1 2
0 1 1
2 1 0
2 2 1
1 2 1
1 2 0
2 2 2
0 0 0
0 0 1
1 1 1
10 7
1 1 2
2 3 2
0 1 2
3 2 3
1 1 0
3 2 0
0 3 3
1 2 2
1 1 3
2 0 2
10 4
1 3 0
3 2 3
3 3 1
3 3 2
0 1 3
0 0 2
2 2 1
2 3 3
2 0 0
3 1 3
10 9
4 5 2
5 4 0
0 1 1
2 1 2
5 4 4
1 2 4
3 3 0
0 5 0
3 1 3
1 1 2
10 4
2 0 3
0 1 1
3 2 1
1 2 1
3 3 3
1 3 3
0 2 2
0 1 3
1 0 2
0 0 1
10 6
0 3 1
0 3 0
4 4 3
1 0 4
1 0 2
0 0 1
4 2 0
3 0 3
3 4 4
4 0 4
10 5
1 1 3
2 3 0
1 0 2
2 3 2
1 0 1
2 0 0
1 2 0
0 1 3
1 0 3
3 2 2
10 7
2 0 1
1 4 2
3 0 2
2 1 3
4 2 1
4 0 4
2 3 0
0 4 3
0 2 3
4 4 0
10 9
2 2 4
0 3 3
3 0 1
4 4 4
3 4 0
2 1 1
2 2 3
3 3 0
1 0 1
2 4 4
10 5
1 1 0
0 1 1
2 2 1
0 0 2
0 0 1
0 2 0
0 1 0
1 2 0
2 0 2
2 0 0
10 4
1 3 4
4 4 4
0 4 5
5 1 3
3 3 4
0 5 3
4 1 5
4 0 1
3 1 3
4 1 0
10 2
0 0 3
1 0 0
2 1 3
0 3 1
1 2 0
3 1 1
2 0 0
3 3 0
2 2 3
1 2 3
10 5
2 1 2
2 2 1
1 3 1
0 0 2
1 0 3
2 1 3
1 1 2
2 3 2
0 3 0
2 2 3
10 2
0 0 1
1 4 0
3 2 4
0 1 0
0 2 3
2 2 4
1 0 0
3 0 1
2 2 1
2 1 1
10 9
1 0 2
2 2 2
0 0 2
2 1 1
2 2 0
2 1 2
2 0 0
2 0 2
1 1 1
0 1 0
10 9
0 2 1
1 0 2
0 1 0
2 2 2
0 2 2
0 1 1
2 0 2
0 0 1
2 0 1
1 2 0
10 8
2 1 1
2 0 2
1 0 0
2 3 1
1 1 4
1 4 1
3 1 3
2 3 4
4 4 2
4 1 1
10 8
0 3 2
3 3 3
3 3 0
2 0 1
0 2 3
1 3 2
3 1 3
0 0 1
1 2 0
2 1 2
10 9
0 2 1
2 4 2
0 1 3
4 4 1
1 0 4
2 0 4
0 0 3
3 0 2
3 2 0
0 3 0
10 4
0 5 3
2 4 5
1 3 1
0 4 0
1 0 5
0 3 2
3 0 3
2 3 5
5 4 3
1 5 3
10 3
1 0 2
1 2 2
2 1 0
2 1 2
0 0 1
1 2 0
2 2 0
2 0 0
2 2 1
0 1 0
10 7
2 1 1
1 0 2
2 0 0
0 2 2
1 1 2
0 2 1
2 2 1
1 2 0
0 0 2
0 1 0
10 9
2 2 2
0 2 2
1 1 0
1 2 1
2 1 2
1 0 0
0 2 1
1 0 1
0 0 2
0 1 2
10 7
5 4 3
3 0 2
5 1 2
3 0 1
4 4 4
4 0 5
3 4 5
5 4 1
0 0 5
1 5 0
10 7
1 1 0
3 0 1
2 0 3
4 2 1
2 1 0
3 2 1
3 3 0
1 1 3
3 4 0
4 2 3
10 7
1 1 2
1 2 1
1 0 2
0 2 0
1 1 1
2 1 1
2 2 0
1 2 0
2 0 1
0 1 2
10 8
1 0 2
2 0 1
0 2 1
2 1 0
1 1 1
2 1 1
0 2 0
1 0 1
1 2 1
1 1 0
10 2
2 3 5
0 3 5
5 4 3
0 0 5
5 3 5
3 3 4
5 0 4
3 1 0
5 5 2
4 5 1
10 8
5 1 4
4 4 2
1 2 2
0 0 2
1 4 3
5 1 1
5 1 5
1 2 4
3 0 3
2 5 5
10 2
1 1 0
0 1 0
2 0 0
0 0 0
0 1 2
1 0 1
1 1 1
0 0 2
1 2 1
0 2 0
10 3
4 0 1
5 5 1
1 5 1
0 0 5
4 4 1
4 5 3
0 0 4
2 2 2
1 4 2
3 3 5
10 2
1 5 2
2 3 3
3 5 0
1 4 3
3 4 4
5 2 1
3 1 2
0 4 1
1 5 0
4 4 5
10 5
0 2 1
1 0 2
2 0 2
0 0 2
2 1 2
0 1 1
1 2 2
2 0 1
1 1 2
1 1 0
10 7
1 2 1
2 3 2
0 3 1
2 1 2
0 0 1
3 3 3
2 0 0
1 0 3
1 3 0
3 3 1
10 7
1 0 1
0 2 1
2 0 1
1 1 2
2 1 2
1 2 0
1 2 2
2 2 1
1 0 0
0 0 2
10 5
2 1 1
5 0 4
5 2 1
1 5 4
5 2 4
1 4 3
2 5 5
2 1 0
0 3 5
3 3 1
10 8
1 1 0
0 0 1
3 2 3
2 1 0
0 1 1
2 2 3
1 1 1
1 2 0
2 0 0
0 3 2
10 4
5 5 0
5 3 0
5 3 2
4 4 4
5 0 0
2 5 1
3 1 2
4 2 2
3 5 2
0 1 0
10 2
0 3 3
1 3 2
0 2 1
0 2 2
0 0 2
1 1 0
2 2 3
1 2 2
3 3 1
3 3 3
10 3
0 2 2
0 1 0
3 0 0
3 1 3
0 0 2
3 3 1
1 1 2
2 2 2
0 3 2
0 1 2
10 5
4 4 2
1 1 1
1 0 4
3 1 1
0 4 0
2 4 4
0 3 2
3 1 0
1 3 4
2 4 3
10 4
4 4 5
3 1 5
4 3 4
1 4 0
4 1 2
0 1 0
2 0 4
3 0 1
5 2 5
5 1 1
10 4
0 2 1
1 3 3
0 0 0
1 4 0
1 3 0
3 1 4
4 4 0
2 2 0
4 0 2
2 3 4
10 8
3 1 3
2 1 3
5 0 0
2 3 4
4 1 5
2 1 4
2 1 2
0 0 2
3 1 2
2 5 0
10 9
0 5 0
1 1 3
4 1 2
1 1 0
5 1 1
0 3 2
5 3 0
0 0 4
1 4 5
0 0 5
10 4
3 3 0
1 2 1
3 1 1
3 1 2
3 1 0
2 2 3
0 2 1
0 2 0
0 0 3
3 0 2
10 7
5 5 2
0 2 4
0 3 2
3 3 3
5 2 2
3 1 3
5 5 4
5 1 0
5 4 0
4 3 0
10 2
0 2 0
4 2 0
3 0 5
1 1 4
0 0 1
3 4 5
5 1 5
4 5 0
5 1 1
4 4 1
10 8
0 0 1
2 1 1
1 1 0
2 0 1
1 2 1
0 2 2
2 0 2
1 2 2
0 0 2
0 1 1
10 7
4 3 4
1 3 1
3 4 1
3 0 4
3 1 3
3 3 4
3 2 2
2 4 4
0 2 2
3 3 1
10 2
2 2 1
0 2 2
1 2 2
2 1 0
1 0 2
0 1 2
1 1 1
2 0 0
0 1 1
0 1 0
10 8
1 2 0
0 1 1
2 2 0
1 1 2
1 1 1
0 2 0
2 1 1
2 0 0
1 2 1
0 0 1
10 8
3 1 4
4 0 4
2 4 0
0 1 3
3 4 2
3 1 1
2 4 1
1 3 0
0 4 0
2 0 4
10 5
1 4 3
2 2 2
3 2 4
0 3 3
0 1 4
0 3 0
0 0 4
2 0 2
0 0 1
0 2 0
10 5
4 3 2
5 3 2
3 3 0
2 2 1
1 3 1
3 1 5
2 3 4
3 3 3
0 1 0
4 3 1
10 6
3 0 4
3 2 0
1 1 1
1 1 0
2 2 2
2 1 0
1 3 2
3 3 0
3 4 4
0 2 1
10 8
1 1 2
1 1 0
0 1 1
0 2 2
0 2 1
2 1 1
2 0 1
1 2 0
1 1 1
0 1 0
10 4
1 0 2
4 2 3
4 4 1
0 4 4
2 3 1
1 1 2
0 4 3
1 0 1
2 4 2
1 0 4
10 3
3 3 0
1 1 1
1 1 2
3 3 2
0 2 0
0 2 3
3 0 0
0 0 3
1 1 0
3 2 0
10 2
3 0 0
4 5 4
4 2 1
3 5 1
5 5 4
1 2 5
2 2 5
1 4 1
2 5 2
0 3 0
10 5
2 1 1
3 2 3
0 2 0
0 0 3
1 1 1
1 1 0
3 1 2
1 1 3
2 0 1
0 3 3
10 5
1 0 1
0 3 1
0 1 1
1 2 2
1 2 0
3 0 3
1 3 1
2 1 0
3 2 1
3 1 1
10 6
1 2 0
0 2 1
0 0 1
1 2 2
0 0 0
2 1 1
0 2 0
1 1 2
1 0 1
2 0 0
10 9
1 4 4
3 4 4
2 1 4
0 2 2
4 1 3
3 0 2
3 2 4
1 3 2
0 1 2
4 3 3
10 2
4 0 1
2 1 2
0 0 4
3 2 4
2 0 1
2 1 1
1 0 0
5 0 1
0 1 0
5 1 5
10 2
1 1 1
2 1 2
1 1 0
0 0 1
1 1 2
2 0 0
2 1 0
1 2 0
1 0 2
2 2 1
10 3
3 0 2
0 3 3
0 1 3
0 2 1
1 2 1
0 0 0
1 2 3
0 1 0
1 3 0
0 0 2
10 8
1 2 2
2 4 4
1 2 1
4 2 2
0 0 2
2 3 2
1 1 0
3 4 1
1 1 2
4 0 2
10 4
3 1 0
1 0 1
1 2 2
1 2 3
2 3 1
0 0 2
2 1 0
3 1 2
0 1 3
0 3 2
10 6
0 2 0
2 0 1
1 1 1
3 3 2
2 0 0
2 0 3
2 3 1
0 1 2
0 2 2
3 2 1
10 5
1 0 0
1 2 1
2 0 1
2 0 2
2 1 0
0 0 2
0 2 1
0 1 0
2 1 2
0 2 2
10 8
1 1 1
2 2 1
1 0 1
2 1 0
1 2 1
0 0 0
2 1 2
1 2 2
0 1 1
0 2 0
10 4
1 1 0
1 2 2
2 2 0
2 1 0
1 2 0
1 1 1
0 2 0
0 0 1
2 2 2
0 2 1
10 7
3 0 1
2 2 2
2 1 3
0 3 3
2 2 0
2 0 1
2 0 3
2 1 0
0 0 0
0 0 2
10 7
0 1 0
0 2 2
0 1 2
2 1 1
0 2 1
2 0 1
1 0 2
1 1 0
2 1 2
1 1 1
10 5
0 1 2
3 2 4
2 4 5
1 2 4
5 2 0
2 0 4
5 3 5
4 1 2
0 4 3
3 3 2
10 7
3 1 2
0 3 0
3 1 3
2 3 0
0 2 2
1 2 3
1 3 0
0 0 2
0 0 3
3 3 1
10 6
2 3 3
3 3 2
2 0 1
0 1 0
1 3 3
0 0 1
1 1 2
0 3 3
1 0 3
0 1 1
10 9
0 0 0
0 1 2
1 2 0
2 1 2
1 0 1
0 2 2
1 0 2
0 2 1
2 2 1
1 1 1
10 9
4 2 4
1 4 4
3 1 4
2 3 2
4 2 2
4 2 3
2 3 4
3 2 1
3 1 3
1 4 3
10 4
0 2 0
1 0 0
1 0 1
3 2 3
2 1 2
1 2 1
1 3 0
0 0 0
3 2 2
0 1 0
10 8
3 4 3
2 1 0
2 3 4
3 3 0
2 3 0
4 2 2
3 0 0
2 2 3
1 3 4
2 0 3
10 2
3 4 0
0 0 0
4 1 0
1 4 0
3 4 1
2 4 2
4 2 2
1 3 1
4 3 4
0 0 4
10 4
1 2 1
2 2 0
2 2 1
0 1 1
2 1 2
2 0 2
0 2 2
2 0 0
0 0 0
0 2 1
10 3
0 0 0
1 1 0
1 0 0
0 1 2
2 1 2
1 1 2
0 2 0
3 0 3
2 0 2
3 0 1
10 5
4 0 1
5 4 2
4 1 4
1 5 3
4 5 5
5 1 3
5 0 5
4 4 2
0 3 4
5 3 2
10 3
1 2 3
2 0 0
2 0 2
0 2 3
1 3 0
1 3 1
0 3 0
2 1 1
0 2 2
1 2 0
10 7
4 4 4
1 0 3
0 1 0
2 2 2
4 3 1
4 2 3
1 2 2
4 2 2
1 3 0
3 2 2
10 7
3 1 3
2 2 0
1 1 3
1 0 2
3 0 0
2 0 1
0 1 0
3 1 0
1 1 2
1 2 1
10 2
1 3 2
1 5 0
3 1 0
3 0 0
2 0 3
0 1 1
3 3 3
5 0 0
1 0 3
1 2 0
10 4
1 5 2
2 3 5
5 1 5
0 4 5
5 0 5
2 1 0
5 3 4
3 5 1
0 1 2
1 0 3
10 9
0 1 1
2 2 2
0 2 2
2 2 0
1 1 1
0 1 2
1 2 1
0 0 0
0 1 0
2 1 2
10 8
0 0 2
0 1 1
1 1 2
0 0 0
2 1 0
0 2 0
0 0 1
1 0 2
1 2 0
2 2 0
10 7
4 3 1
0 0 4
3 4 3
1 0 3
4 1 4
3 1 4
3 3 0
3 3 2
3 0 0
2 1 4
10 8
4 3 5
1 3 3
1 0 5
0 1 3
3 1 0
2 3 0
3 1 5
5 4 1
5 4 3
4 0 4
10 2
3 4 1
3 1 0
2 0 0
4 1 3
4 4 4
0 0 4
4 0 1
4 0 0
0 2 3
4 4 2
10 5
0 1 1
0 1 0
2 1 0
2 2 1
1 2 2
2 1 1
0 2 2
1 0 2
1 2 0
2 2 2
10 8
2 1 0
2 1 1
0 0 1
2 2 0
1 2 0
2 0 2
2 1 2
0 2 0
2 0 1
0 2 2
10 5
0 0 0
0 0 1
2 2 1
2 0 1
2 2 0
0 2 0
1 2 1
2 2 2
2 1 0
1 2 2
10 3
2 2 1
0 1 2
1 0 2
1 0 0
2 0 2
1 1 0
0 0 0
1 2 2
0 2 1
1 2 1
10 8
1 1 2
0 1 1
2 2 0
1 0 1
0 2 1
1 0 0
0 1 0
2 2 2
2 1 2
0 0 0
10 3
3 3 1
3 3 4
1 0 0
2 4 3
2 1 1
3 0 1
0 4 0
0 4 2
4 2 2
3 0 0
10 2
0 1 3
3 0 2
0 1 2
3 3 1
0 0 3
3 0 0
0 2 1
1 0 1
3 1 2
3 2 1
10 7
0 1 1
2 1 2
1 0 0
1 2 1
0 2 2
2 0 0
0 0 1
1 1 0
2 1 0
1 1 1
10 9
3 4 1
0 2 3
3 1 0
2 0 4
1 3 0
2 3 0
2 2 3
3 0 2
4 4 3
4 0 1
10 3
2 1 1
2 2 1
0 1 2
2 1 0
0 0 1
2 0 0
0 1 1
0 2 2
1 0 1
2 2 0
10 3
2 2 0
2 0 1
2 2 1
1 1 0
0 0 1
0 0 0
1 1 1
0 1 2
0 1 1
0 2 2
10 5
3 0 0
1 3 1
0 1 4
2 0 4
2 2 2
3 2 0
4 3 1
3 3 0
1 1 4
0 2 4
10 4
0 4 0
1 0 4
3 1 0
4 2 2
4 3 1
2 0 3
4 1 1
0 2 3
2 3 1
3 4 1
10 5
3 3 0
4 4 4
2 0 2
2 1 2
3 1 1
4 4 0
2 2 1
2 3 0
4 3 0
2 0 1
10 5
2 3 2
1 0 2
3 3 0
1 2 0
0 1 3
2 0 3
3 0 0
0 3 3
2 2 0
2 2 3
10 5
1 3 5
4 3 4
2 1 4
5 3 5
3 1 0
2 3 1
3 0 2
4 3 3
3 5 0
4 0 3
10 9
2 0 1
2 1 3
0 0 0
3 0 5
1 2 2
3 1 2
4 0 2
3 2 4
1 4 4
2 1 1
10 5
3 5 4
4 3 1
1 2 1
0 2 3
4 4 4
1 2 5
2 0 1
4 5 5
4 4 3
2 3 5
10 8
2 3 0
0 2 0
3 0 3
2 1 0
3 0 2
1 2 3
3 0 0
3 1 0
0 1 2
1 0 1
10 5
1 1 0
2 0 0
0 0 1
1 1 1
1 1 2
0 0 0
2 1 1
1 0 2
1 2 2
2 2 1
10 8
1 2 2
1 1 1
1 0 1
2 2 2
0 2 2
0 1 2
1 2 0
0 0 0
2 2 1
0 1 0
10 2
3 2 2
1 2 2
1 0 1
1 3 1
3 1 2
0 1 2
2 2 3
0 1 1
1 2 0
0 2 0
10 9
4 3 2
5 1 1
4 2 5
3 0 4
2 0 3
4 5 1
5 5 2
0 1 0
2 0 2
3 1 1
10 4
3 1 2
1 3 3
2 3 3
2 1 1
1 0 1
1 0 0
0 0 3
3 2 1
2 1 3
3 2 0
10 5
1 4 0
3 3 0
4 0 1
4 1 2
3 1 3
1 3 0
1 1 0
1 3 3
2 4 3
3 3 2
10 4
3 2 0
2 3 1
2 1 1
0 0 0
0 3 2
2 2 3
0 1 0
3 0 3
3 1 1
2 0 0
10 7
1 1 1
1 0 4
4 3 1
1 0 3
2 4 3
4 2 4
4 3 3
0 2 4
4 1 1
3 2 1
10 6
2 3 5
0 0 3
0 4 3
3 1 5
1 5 3
3 5 1
1 0 4
1 1 1
3 2 5
3 1 3
10 5
2 2 4
0 1 5
4 4 1
1 0 1
3 1 4
4 0 0
3 1 1
5 1 4
3 0 3
4 2 1
10 5
1 1 0
1 4 1
2 0 4
3 1 2
3 2 3
5 5 0
1 2 2
1 5 3
4 0 3
2 5 1
10 7
2 4 2
3 5 0
4 3 4
1 5 3
1 1 1
4 2 0
3 3 0
1 0 2
2 2 4
5 5 0
10 9
1 0 0
4 4 0
3 4 3
3 0 3
4 1 1
2 0 2
4 1 3
4 4 1
2 3 3
1 3 2
10 6
2 3 1
3 1 3
1 2 3
3 1 2
0 2 3
0 3 1
2 3 0
2 3 3
0 2 2
1 2 0
10 3
2 4 1
2 0 2
0 0 3
2 0 0
4 3 1
4 0 3
4 1 4
3 2 4
3 0 2
2 3 1
10 7
3 0 2
1 1 3
3 1 1
0 1 0
2 0 3
2 1 2
1 0 0
1 2 0
0 1 2
1 3 3
10 7
2 1 1
2 2 0
1 2 0
1 2 1
1 1 2
2 0 2
1 1 0
0 2 0
0 0 2
0 1 1
10 6
0 0 1
0 3 2
2 3 3
2 2 0
0 0 0
0 3 3
2 2 3
0 1 3
1 3 3
2 1 1
10 4
0 1 0
2 0 1
2 2 0
2 2 1
1 2 2
1 0 2
0 2 0
2 1 2
0 0 1
0 2 1
10 9
0 2 2
0 2 1
2 0 0
1 1 1
2 0 2
1 0 2
0 1 0
1 2 1
1 2 2
2 1 2
10 7
1 1 0
0 0 2
2 1 2
0 1 0
1 0 1
2 2 1
2 0 2
2 2 0
0 1 1
1 2 1
10 9
3 5 3
5 1 2
4 1 0
2 3 4
4 2 0
2 4 1
4 0 3
4 2 2
4 3 0
3 4 4
10 8
0 2 0
1 2 1
2 2 1
1 2 2
1 1 2
0 0 2
1 1 1
2 1 2
2 0 0
1 1 0
10 9
0 2 0
2 2 0
1 0 2
2 2 1
0 2 2
2 0 1
1 1 2
1 2 1
0 0 2
0 1 2
10 2
1 3 3
5 3 4
1 0 3
1 1 1
1 1 2
4 3 4
3 5 1
5 2 4
4 5 2
1 3 2
10 4
1 1 3
1 1 1
3 0 0
0 1 3
3 3 0
0 3 1
1 3 1
0 3 2
0 0 0
0 2 3
10 7
1 2 4
3 2 1
1 1 5
3 2 5
0 5 0
4 1 1
4 0 3
0 1 5
0 1 3
4 3 5
10 3
2 3 2
3 3 2
2 1 1
1 2 2
0 1 0
1 1 2
2 1 0
3 2 3
3 0 3
0 1 2
10 6
3 2 1
1 0 0
1 2 2
0 0 0
0 3 3
3 0 2
3 1 3
1 0 2
0 2 1
2 2 3
10 4
2 2 0
1 2 2
0 3 0
1 2 1
3 0 2
0 1 2
2 1 0
1 3 2
0 3 1
0 0 2
10 6
0 0 0
2 0 1
1 2 2
1 0 0
2 1 0
0 1 1
0 2 2
2 2 1
2 1 1
1 2 1
10 7
4 1 5
3 0 5
3 5 4
0 2 0
3 5 0
1 0 4
3 3 0
5 2 5
4 2 2
1 1 3
10 9
5 4 4
1 2 0
3 0 3
5 2 0
2 1 3
5 0 1
5 3 1
1 2 4
4 2 0
4 4 0
10 7
0 2 1
2 1 1
1 2 3
2 2 3
0 0 1
3 2 1
0 3 1
2 3 2
2 3 1
1 1 1
10 7
3 4 2
3 2 4
4 2 3
4 1 3
1 1 1
4 3 4
4 4 4
4 2 0
0 2 1
0 0 0
10 6
2 4 1
3 0 4
4 3 1
2 3 2
4 4 2
0 0 3
4 4 0
3 0 1
0 3 3
1 2 0
10 2
3 0 4
0 5 5
1 4 3
2 3 3
3 3 1
0 0 0
4 4 4
2 4 2
0 1 1
0 1 4
10 5
0 1 2
0 2 2
0 0 1
0 2 0
1 1 2
1 2 0
2 1 1
1 1 1
1 1 0
2 2 1
10 7
0 1 3
2 1 1
3 0 3
3 1 1
0 0 0
0 1 2
3 1 2
0 3 3
3 2 1
2 1 3
10 7
3 4 3
3 4 4
0 2 3
1 1 0
4 1 3
4 3 0
3 2 4
0 4 4
3 3 3
2 2 3
10 6
3 3 2
0 3 0
0 1 1
0 1 2
1 1 0
3 1 1
2 0 3
2 1 3
0 1 3
2 2 1
10 5
1 1 2
1 0 2
0 1 1
2 0 0
2 2 1
1 0 1
2 2 0
0 1 0
1 2 0
1 2 1
10 4
0 3 0
3 0 0
3 4 0
1 4 0
3 1 4
4 4 1
3 0 4
4 4 3
1 0 1
4 0 2
10 7
1 0 1
0 0 3
0 1 2
1 1 1
0 3 0
0 1 0
0 2 1
3 2 0
1 3 2
2 1 1
10 6
1 2 0
1 1 1
0 0 0
0 0 1
2 0 2
0 1 1
0 2 2
2 1 2
2 2 0
2 0 1
10 8
1 2 2
1 2 1
2 1 0
2 1 1
1 0 0
1 0 1
0 1 1
0 1 2
0 0 2
2 0 1
10 6
2 2 1
0 2 1
1 1 1
2 1 2
1 0 2
0 2 0
0 0 2
2 0 0
2 2 0
2 0 1
10 7
0 1 1
2 2 4
3 4 0
1 5 0
2 3 3
4 1 0
0 2 5
3 5 2
0 0 5
5 5 3
10 3
0 0 1
2 1 2
2 0 2
0 0 0
0 2 0
1 1 2
1 0 2
2 0 1
2 1 1
1 0 1
10 4
3 1 2
5 3 3
0 0 3
3 0 5
0 0 0
1 3 5
5 4 0
1 0 4
4 5 0
4 3 5
10 9
1 3 1
4 3 4
0 4 4
1 3 2
4 2 0
2 2 3
1 3 3
3 2 0
3 1 4
0 4 2
10 2
0 1 2
0 2 0
1 0 1
0 2 1
2 1 0
0 1 0
1 2 0
1 0 2
1 2 1
0 0 0
10 4
3 3 0
0 2 2
2 3 3
3 3 2
3 0 3
1 3 3
2 2 1
1 3 0
0 2 0
0 1 0
10 4
1 2 0
0 0 1
2 2 1
3 1 2
0 3 1
2 2 0
3 0 0
1 2 1
2 2 2
3 2 0
10 7
2 1 1
3 1 1
3 3 1
4 1 2
1 5 2
2 2 3
3 0 5
4 5 4
2 0 1
4 4 2
10 5
0 0 1
0 1 2
1 1 1
0 1 1
2 2 1
1 0 2
1 2 2
0 1 0
2 0 2
2 1 1
10 8
2 3 1
2 0 3
1 1 1
0 0 3
3 2 2
0 1 1
0 0 0
2 3 3
3 2 3
0 1 3
10 3
2 2 1
2 1 1
2 2 2
0 1 0
0 0 2
1 1 2
2 1 2
0 2 1
2 1 0
0 0 1
10 9
2 0 3
3 3 4
3 0 4
4 1 1
2 1 0
4 4 2
1 1 2
0 1 0
1 2 1
1 1 0
10 4
2 0 0
1 2 0
1 3 1
3 0 2
3 3 0
1 1 3
1 2 1
2 0 1
1 0 0
1 0 2
10 9
3 0 0
0 3 2
0 1 0
2 3 1
0 0 0
3 1 2
3 0 1
2 2 3
0 2 3
0 1 3
10 2
2 1 1
1 1 1
1 0 0
0 2 1
1 2 0
1 2 2
2 2 2
0 0 0
2 0 2
0 1 1
10 4
0 1 3
0 2 1
0 2 2
0 3 2
1 0 1
1 2 3
3 1 3
3 3 0
1 3 1
1 0 2
10 2
1 0 2
2 0 0
2 0 1
0 2 0
1 0 0
2 2 2
2 1 1
0 2 1
1 0 1
0 0 0
10 7
1 2 1
0 3 2
2 3 0
2 2 3
2 3 1
0 2 0
0 1 3
3 3 3
0 0 0
0 2 3
10 9
3 3 2
0 5 0
1 1 3
5 5 0
5 0 1
4 0 1
3 3 3
3 2 2
5 3 4
4 5 0
10 6
1 1 0
1 4 4
5 3 0
0 1 4
4 4 0
2 5 4
3 2 4
2 2 3
4 0 3
5 0 0
10 8
2 1 3
3 0 0
2 3 4
2 2 3
1 2 4
4 4 1
1 0 4
4 1 1
3 3 1
0 3 2
10 7
0 0 2
2 2 0
0 1 1
2 3 2
2 2 2
1 1 2
3 3 0
1 2 2
0 1 2
3 2 0
10 7
2 1 1
0 1 0
1 0 0
1 2 1
1 0 1
1 2 2
0 0 1
2 2 1
0 2 2
2 1 2
10 8
2 2 2
3 1 4
2 0 1
4 1 0
4 3 0
3 2 5
4 5 4
3 4 5
1 2 4
3 3 0
10 7
3 4 1
3 1 1
1 2 5
1 2 2
2 1 4
0 1 5
5 4 4
1 1 5
2 1 1
2 2 0
10 2
3 1 3
3 0 2
0 3 2
0 2 1
2 3 2
1 2 3
0 3 0
2 2 0
1 0 0
0 0 2
10 9
2 1 2
0 2 0
0 2 1
2 0 2
2 2 1
1 0 0
1 0 1
2 1 1
1 2 2
0 0 0
10 9
3 4 1
3 2 3
3 5 0
3 2 1
5 5 2
2 1 4
3 0 0
4 0 4
0 1 1
5 1 4
10 5
3 2 0
2 2 2
2 0 2
0 0 2
0 1 0
3 0 3
1 1 1
1 1 3
1 2 2
3 2 3
10 3
2 0 1
0 2 2
2 1 2
2 2 2
1 0 2
0 0 2
2 0 2
0 2 0
1 1 2
2 1 1
10 6
1 3 0
3 2 3
3 1 3
3 2 0
3 0 0
0 0 3
1 0 2
2 1 1
1 3 3
1 3 2
10 3
3 2 2
3 4 0
3 1 0
3 2 4
1 1 0
2 0 0
0 1 1
3 1 1
3 4 4
1 0 4
10 8
1 0 0
0 1 2
2 3 2
1 0 2
0 1 0
1 1 1
2 0 1
1 2 0
1 2 3
3 0 1
10 9
4 4 4
4 0 2
0 3 0
4 1 3
4 4 0
4 2 3
3 4 1
0 3 3
2 0 3
2 4 2
10 2
2 1 4
2 3 2
3 2 1
4 1 0
0 0 2
4 3 0
1 3 1
1 4 2
0 1 1
1 4 3
10 2
3 3 3
0 3 4
3 0 1
3 2 3
0 2 1
4 4 0
4 0 2
1 2 2
2 0 0
3 2 4
10 2
1 1 1
0 0 2
1 1 2
1 0 2
0 1 1
0 2 1
1 2 1
1 0 1
2 1 0
2 2 1
10 3
5 0 4
2 2 3
5 1 0
1 5 0
3 5 0
5 0 3
2 3 1
4 0 2
1 3 0
1 4 4
10 3
0 5 3
2 1 4
0 4 2
4 1 2
2 5 5
2 5 1
0 2 0
2 0 0
4 2 2
2 2 3
10 6
1 0 0
3 2 0
2 0 2
2 0 3
1 1 2
1 3 1
3 2 3
0 1 2
0 1 3
3 3 3
10 8
1 4 1
5 1 0
3 2 4
2 4 3
0 1 0
2 4 1
0 2 5
4 2 2
1 2 1
4 2 5
10 6
0 2 0
1 4 0
1 0 1
2 3 3
4 4 2
0 4 2
1 4 3
3 4 4
0 3 2
2 4 3
10 7
2 4 1
0 1 4
4 0 0
2 1 1
4 0 4
0 3 3
4 2 1
1 0 3
4 0 3
0 2 1
10 9
1 3 3
3 0 1
0 1 4
5 1 1
1 3 2
1 3 5
2 4 4
3 4 0
3 5 3
4 0 5
10 7
0 3 2
0 0 3
5 4 2
4 1 1
4 5 2
3 3 0
3 2 2
3 4 0
4 4 1
2 5 2
10 5
1 4 4
1 4 0
0 2 2
1 4 2
4 4 1
3 1 4
2 3 0
1 2 2
2 4 3
1 1 0
10 4
4 3 0
0 0 1
0 4 4
4 1 4
3 2 3
4 2 0
2 1 3
2 0 0
4 3 4
1 0 4
10 5
1 0 0
0 1 1
2 2 1
0 0 0
2 2 2
1 1 1
2 0 2
0 1 0
1 2 2
0 2 0
10 4
3 1 2
2 3 0
2 2 2
3 0 3
0 2 1
1 3 3
2 1 1
3 1 0
0 2 3
1 2 3
10 2
2 0 2
0 0 1
1 2 2
2 1 0
1 2 0
2 2 1
0 1 0
2 2 0
2 2 2
0 2 1
10 9
0 0 2
1 0 2
1 2 0
1 2 1
2 0 1
0 0 0
2 0 0
2 0 2
1 1 1
0 1 0
10 8
2 0 0
1 2 2
1 0 1
0 1 0
1 2 0
0 0 0
2 0 2
2 2 0
1 1 0
1 2 1
10 3
1 5 2
2 2 0
5 0 2
1 4 5
4 1 5
5 0 0
0 0 0
5 3 0
2 1 5
2 0 5
10 8
1 3 3
1 4 4
3 0 3
4 0 1
2 2 1
4 3 0
4 0 4
2 4 3
0 0 0
4 0 3
10 4
2 1 1
2 2 1
1 1 1
2 1 2
1 0 0
2 2 2
0 0 1
2 2 0
0 1 2
1 2 1
10 5
2 3 4
2 2 2
1 1 2
2 2 0
0 5 0
2 4 5
0 0 4
1 2 3
2 0 1
5 2 2
10 7
1 1 3
3 3 2
0 4 1
3 1 0
2 3 4
2 0 2
0 2 3
2 4 2
4 1 3
1 3 2
10 4
1 3 3
2 1 1
4 3 1
1 2 2
2 1 3
1 0 2
2 3 0
1 3 1
4 1 1
4 4 0
10 2
0 3 0
1 1 1
2 3 0
1 2 1
1 1 3
0 1 0
1 2 2
2 1 2
0 1 1
0 0 1
10 3
2 4 5
1 1 3
3 0 5
0 2 3
1 3 4
2 1 0
3 4 0
4 1 3
3 1 2
0 5 3
10 4
3 2 1
5 0 2
0 5 4
4 2 4
1 5 3
2 3 0
4 5 4
5 4 3
3 5 5
1 5 0
10 3
0 2 1
1 0 0
1 2 1
1 0 2
2 1 2
1 2 0
0 1 0
1 0 1
0 0 1
0 2 0
10 7
3 0 4
0 2 3
3 1 1
3 3 4
0 3 0
3 2 3
3 0 0
1 1 1
0 4 3
3 2 0
10 3
2 0 4
5 5 0
4 0 4
2 1 0
3 1 0
4 0 2
4 0 5
2 3 1
5 3 5
2 4 1
10 9
4 5 4
5 1 2
1 1 3
4 0 5
1 5 2
3 3 3
5 3 1
0 4 3
1 3 1
3 3 1
10 3
2 2 1
2 4 1
1 0 0
3 2 4
4 3 3
0 5 3
4 1 1
4 0 5
2 5 3
4 0 3
10 8
5 3 0
5 4 0
4 1 0
4 0 0
5 0 2
1 1 2
3 5 4
5 5 2
3 0 0
3 5 3
10 5
2 2 0
3 1 0
3 2 3
2 3 0
3 3 1
1 1 1
1 1 3
3 0 3
3 1 1
1 1 2
10 3
2 0 2
2 1 0
2 1 1
1 0 2
2 0 0
2 2 2
0 1 0
0 0 2
0 1 2
0 1 1
10 3
0 3 2
0 2 0
2 3 0
0 1 2
4 3 2
0 4 1
2 0 0
0 2 3
3 1 1
0 0 0
10 3
0 0 2
1 2 0
2 2 0
2 0 1
0 2 1
2 2 1
1 0 1
2 0 2
1 0 2
0 0 0
10 7
4 0 5
4 3 4
3 0 4
4 4 5
3 3 0
4 2 3
3 0 2
0 2 2
3 3 2
5 4 3
10 3
0 0 1
0 1 0
1 2 1
2 0 2
1 0 0
1 0 1
0 1 1
1 0 2
0 2 0
1 1 2
10 2
4 4 3
3 1 0
2 1 2
2 4 1
1 0 3
0 4 3
2 2 2
0 2 0
3 4 2
3 2 3
10 6
0 0 1
1 2 1
0 2 2
0 0 0
2 2 0
1 0 1
2 1 1
1 2 2
1 2 0
0 1 1
10 4
2 2 2
3 3 2
0 1 1
1 3 1
0 2 1
2 3 1
3 2 3
0 2 0
1 1 1
1 0 2
10 8
1 0 4
2 4 3
1 1 3
2 0 2
0 2 1
1 2 1
1 4 1
0 0 4
2 4 1
4 0 2
10 4
0 2 1
1 1 1
1 1 0
1 0 1
2 1 0
0 2 2
1 2 2
2 2 2
2 0 1
0 2 0
10 6
1 1 0
2 2 0
2 1 2
1 3 1
3 0 3
1 3 2
0 0 3
0 0 1
0 2 2
0 1 3
10 6
2 4 2
4 5 2
0 3 3
3 3 5
5 4 5
5 5 2
4 2 5
3 1 2
5 5 4
4 1 3
10 4
2 1 0
0 0 5
3 3 0
1 5 2
5 2 3
5 4 0
3 1 2
0 3 3
4 4 4
4 2 3
10 6
0 0 2
1 2 2
0 1 2
1 0 0
1 1 0
2 2 1
0 0 0
0 2 1
2 2 0
0 2 2
10 2
0 2 0
1 2 1
2 1 0
0 1 1
1 2 2
0 1 2
2 2 1
0 0 1
0 2 2
2 0 1
10 3
1 3 0
2 4 3
3 2 5
3 2 2
2 0 5
0 3 1
2 5 3
3 0 5
0 3 5
3 5 2
10 8
1 3 2
1 1 3
0 0 0
1 1 0
0 0 1
2 2 3
1 0 3
1 2 2
3 0 3
2 1 1
10 9
4 5 5
4 5 4
2 3 4
5 2 1
4 4 2
2 5 0
1 5 1
4 0 3
5 3 3
0 1 1
10 8
1 3 2
3 2 0
1 2 2
0 3 3
1 3 1
0 2 2
3 2 3
0 2 3
1 1 3
2 2 3
10 9
3 4 0
4 0 3
0 1 0
3 2 3
3 1 4
1 1 1
3 4 2
4 3 4
2 4 3
4 3 0
10 9
1 0 1
0 3 2
1 3 2
4 3 0
3 1 1
0 3 1
4 4 3
2 3 1
2 3 4
1 3 3
10 9
2 5 3
5 4 4
2 2 3
5 0 4
5 2 1
4 3 2
1 5 4
0 4 3
1 0 3
4 1 1
10 5
2 1 1
1 1 1
2 2 3
0 1 1
0 2 1
3 1 0
3 1 1
2 1 2
0 2 3
0 1 0
10 8
3 2 1
1 2 0
3 1 1
3 3 2
3 3 3
0 2 2
2 1 0
1 1 2
3 0 0
1 1 3
10 3
0 1 2
2 0 2
0 2 0
0 0 1
2 0 1
1 1 2
0 2 2
2 2 0
1 0 2
0 1 1
10 6
0 2 2
1 1 0
1 0 0
1 1 1
2 2 0
2 1 2
1 1 2
0 0 0
2 0 1
2 1 1
10 3
3 4 1
4 0 3
3 3 2
3 2 5
1 4 3
4 3 5
2 4 3
5 3 4
3 3 3
4 1 3
10 8
2 3 4
2 4 1
4 0 3
0 1 2
1 1 2
4 2 4
1 4 3
4 3 2
2 0 0
4 1 0
10 2
4 3 2
2 0 5
1 3 5
0 4 1
2 0 3
0 0 5
0 4 3
2 5 0
0 1 0
3 1 1
10 6
3 3 0
1 0 1
0 2 1
3 2 0
3 0 3
3 1 0
1 2 1
1 1 1
3 0 2
2 2 3
10 9
2 1 2
3 3 4
4 2 3
5 3 0
4 0 0
4 3 4
4 4 3
2 1 0
0 1 1
3 2 1
10 7
0 0 0
0 3 1
0 1 0
2 2 0
2 2 3
3 2 1
2 0 3
0 0 1
1 1 2
0 2 3
10 8
2 4 4
2 1 4
1 2 0
2 5 1
4 5 0
5 5 5
3 3 4
2 1 2
2 1 3
2 4 1
10 9
2 0 2
4 3 3
2 0 1
3 3 4
1 1 0
4 4 2
2 2 4
4 0 2
4 3 1
1 0 0
10 5
1 3 2
0 1 1
0 0 0
1 2 1
2 0 0
0 2 3
1 1 3
1 1 1
0 3 3
2 3 3
10 3
3 0 4
3 0 0
1 4 2
5 0 2
5 2 3
4 5 2
5 3 4
2 1 5
3 3 0
0 2 3
10 8
4 2 4
4 0 4
1 2 2
3 1 2
3 1 1
1 0 2
4 3 3
3 0 3
3 2 2
0 3 2
10 2
3 3 1
3 1 0
1 1 2
1 1 0
1 2 0
0 1 3
0 1 0
0 0 0
2 2 2
2 1 3
10 3
0 3 3
3 2 3
5 0 0
5 0 5
4 1 2
2 1 5
2 2 3
2 0 4
1 1 4
2 0 3
10 7
3 0 0
2 3 3
1 1 2
1 2 2
2 1 1
0 3 1
3 1 3
3 2 1
1 3 0
1 3 1
10 4
0 3 3
3 1 0
3 3 1
1 2 0
1 2 1
1 2 2
0 1 0
3 2 1
0 0 0
0 0 1
10 2
0 0 0
2 1 2
1 1 0
1 0 0
0 1 0
2 0 0
1 0 1
1 2 2
2 2 0
0 1 1
10 8
0 0 0
0 3 1
2 3 3
0 3 3
2 0 3
3 2 1
1 3 2
0 3 2
3 2 2
3 3 1
10 8
2 2 1
3 1 0
0 2 4
4 1 1
3 0 4
4 0 2
0 2 3
4 2 1
0 2 1
3 3 3
10 4
2 4 1
1 0 2
0 0 1
2 0 3
2 4 0
3 0 3
4 0 2
1 2 0
3 0 2
4 1 3
10 6
2 1 0
0 0 2
0 2 2
0 2 1
1 0 2
2 0 0
2 1 2
1 1 1
0 1 2
2 0 1
10 8
1 3 3
2 2 1
5 2 4
0 4 5
1 0 2
2 4 2
4 5 2
1 2 4
4 3 4
3 4 2
10 7
0 2 0
2 2 0
1 0 0
1 1 0
0 0 2
1 1 1
0 1 0
1 2 2
1 1 2
1 2 0
10 8
0 3 2
2 3 3
2 2 0
0 2 2
1 2 3
2 1 2
3 1 3
3 2 0
0 1 2
3 2 3
10 4
2 3 5
0 0 4
2 5 0
4 4 2
3 0 1
5 5 2
1 5 4
0 2 5
0 5 5
1 4 5
10 9
1 1 1
3 3 1
2 3 0
0 3 4
1 1 3
2 1 0
2 4 3
3 0 1
3 4 0
2 3 2
10 2
1 1 4
3 1 0
0 3 0
3 2 4
4 4 4
3 1 2
2 2 3
1 3 2
0 2 4
3 3 0
10 6
4 2 0
2 1 2
0 3 4
4 0 0
1 0 1
0 0 0
0 2 3
2 0 4
3 1 3
3 4 4
10 7
0 0 0
0 2 2
1 0 1
0 0 1
0 1 1
1 1 1
1 2 0
1 2 1
1 0 2
2 1 2
10 2
2 1 2
5 2 3
1 2 3
3 5 4
0 1 4
5 4 0
0 4 2
0 5 3
0 0 0
5 2 0
10 3
2 1 3
2 0 0
2 0 1
3 2 3
3 1 2
3 3 1
2 3 2
1 3 3
1 2 2
0 3 1
10 7
3 2 0
0 3 0
3 3 0
2 2 0
0 1 1
1 2 0
1 0 1
2 2 2
0 0 1
0 1 0
10 9
4 1 0
3 0 5
2 4 5
4 0 4
1 0 1
4 0 0
0 2 0
3 4 2
1 5 0
2 4 0
10 8
2 2 4
4 1 4
0 0 3
0 0 0
2 3 4
3 4 2
4 0 3
1 4 0
2 3 1
3 3 4
10 8
1 2 3
3 1 3
3 3 4
2 1 1
2 0 5
2 4 1
5 0 1
4 4 1
2 4 3
5 5 2
10 5
3 1 0
2 0 0
1 4 3
0 4 4
2 5 2
0 2 5
3 3 4
2 3 0
4 0 3
3 4 2
10 2
0 1 1
0 0 2
1 2 0
0 2 0
1 1 2
2 1 2
1 0 1
1 2 1
1 0 0
2 0 1
10 6
0 1 1
2 2 0
2 1 0
0 0 0
0 2 0
2 1 2
0 2 1
0 0 2
1 0 0
2 1 1
10 5
4 5 0
2 5 1
3 1 5
0 5 5
5 3 2
5 0 3
2 3 3
1 1 0
3 1 0
4 1 0
10 5
1 2 0
1 3 2
3 1 2
0 3 0
1 3 1
0 0 0
1 1 3
0 3 3
2 1 2
0 1 2
10 9
2 0 0
2 2 2
1 2 1
1 0 1
2 0 2
3 1 4
0 0 4
0 3 0
4 1 2
4 2 0
10 2
2 2 1
0 2 0
3 0 1
1 3 2
1 2 3
3 2 3
3 1 3
0 1 0
3 2 1
0 0 2
10 4
0 1 1
2 2 2
1 0 0
2 1 2
0 2 1
1 0 1
1 1 1
0 2 2
1 1 0
0 0 0
10 5
1 1 0
0 0 1
4 4 2
5 4 5
3 3 1
4 5 4
5 4 3
4 4 3
3 0 4
2 4 0
10 2
0 1 0
1 0 3
5 3 3
3 1 0
4 4 3
4 0 0
4 3 1
2 5 0
5 5 3
2 0 3
10 6
2 0 2
1 1 1
1 0 2
0 1 0
0 2 0
0 2 1
2 2 2
1 2 2
0 1 1
2 2 0
10 7
0 0 0
2 0 3
0 4 5
2 4 4
2 2 1
2 3 3
2 0 4
4 0 2
5 4 1
1 5 3
10 5
3 0 3
1 3 0
3 3 3
3 3 2
3 0 0
3 0 2
0 1 3
1 0 1
1 3 3
2 1 3
10 9
1 2 0
0 1 1
2 2 2
2 1 0
1 0 0
2 0 1
0 0 2
0 1 0
1 2 2
1 0 2
10 9
2 0 0
2 2 2
3 3 0
2 0 3
1 0 1
2 1 0
1 2 2
2 3 0
0 3 0
1 2 1
10 7
0 2 2
4 1 4
5 1 4
5 0 3
3 4 5
5 0 5
4 5 0
0 1 0
4 0 2
4 1 5
10 7
1 1 2
2 3 0
1 2 1
0 1 2
0 3 3
3 2 2
0 3 0
0 1 3
1 0 2
2 2 2
10 6
0 1 0
2 0 0
0 2 1
2 2 2
2 1 0
1 1 1
1 2 2
1 0 1
2 0 2
0 2 0
10 2
0 0 1
2 1 0
1 0 2
1 2 2
1 1 2
2 2 1
0 1 0
1 0 1
0 0 2
2 2 0
10 8
0 4 0
3 1 1
2 0 1
3 3 4
3 2 3
4 0 3
2 2 2
3 1 3
3 4 4
2 1 0
10 5
0 0 0
1 0 2
3 2 2
1 1 1
2 0 1
3 2 0
3 3 2
1 1 2
0 2 0
2 0 0
10 4
0 0 4
0 4 4
3 1 0
1 0 1
2 0 1
1 4 3
0 3 3
4 4 2
3 1 1
1 4 4
10 2
1 3 4
1 1 4
1 4 0
2 1 1
1 2 2
1 2 4
3 3 2
0 2 1
4 0 0
0 3 0
10 8
2 2 1
4 2 3
2 0 1
0 3 2
4 4 4
2 0 2
2 1 2
2 2 3
0 2 4
4 0 2
10 6
1 3 3
2 4 2
2 2 4
1 4 2
2 2 2
3 0 0
0 3 1
1 2 3
1 2 1
4 1 3
10 2
3 2 3
1 4 3
1 2 2
2 4 2
0 1 4
1 1 4
1 2 4
1 2 3
4 4 0
0 0 2
10 3
1 3 1
0 1 2
1 2 3
1 1 0
0 3 3
0 2 1
3 1 3
0 2 0
3 1 2
2 2 2
10 8
0 0 0
2 1 0
1 2 2
0 0 1
0 1 2
1 1 2
1 0 0
2 1 2
2 2 0
1 2 0
10 6
4 3 3
4 2 4
3 3 2
0 0 1
3 1 3
1 0 4
1 2 4
4 4 2
1 0 2
0 4 1
10 2
0 0 0
1 2 3
3 2 1
3 3 1
1 1 1
3 2 3
1 2 1
2 2 2
3 3 0
2 0 0
10 2
0 1 4
0 5 5
4 0 0
1 4 4
4 1 2
1 2 4
0 3 1
1 1 1
1 5 5
5 1 0
10 4
5 4 2
5 1 4
2 1 0
2 1 1
5 5 0
2 5 3
3 1 5
1 3 1
2 2 4
2 4 5
10 7
0 3 1
3 0 3
0 0 2
3 1 2
4 5 0
0 5 5
2 4 3
2 3 3
5 1 0
5 1 5
10 8
5 5 1
1 4 1
3 5 1
1 2 5
2 5 3
4 1 1
2 5 4
0 4 5
4 5 1
1 4 4
10 9
2 2 0
0 2 0
1 2 2
0 2 4
1 0 4
2 4 3
1 4 2
1 0 3
1 3 4
2 0 2
10 8
5 5 5
5 2 1
2 0 1
2 5 2
0 4 1
3 1 4
4 1 3
2 1 3
4 3 3
5 2 2
10 8
0 0 1
0 1 0
0 0 0
0 1 1
1 0 1
1 2 1
2 0 2
0 0 2
2 2 2
2 2 1
10 6
1 3 0
1 0 3
2 0 2
2 1 3
1 1 0
1 3 1
0 1 2
3 3 0
1 3 3
2 3 1
10 3
0 2 0
1 1 0
2 0 1
0 2 1
0 1 0
2 0 0
0 0 0
2 2 1
1 2 1
1 2 2
10 6
2 1 0
0 0 1
3 1 3
3 1 4
3 0 1
4 2 3
0 3 2
2 3 5
3 4 1
0 2 5
10 5
2 1 3
4 2 0
0 0 3
3 5 2
0 0 2
4 1 4
4 5 4
0 4 5
4 3 5
3 4 3
10 9
0 2 2
0 0 1
3 2 2
3 1 1
3 3 0
1 1 2
1 1 0
0 2 3
0 0 0
2 1 1
10 4
0 0 2
2 1 2
0 1 0
0 2 0
0 0 1
0 1 2
2 1 0
2 2 0
2 0 0
2 0 1
10 6
0 1 1
0 2 2
1 2 3
1 2 1
2 2 1
0 2 3
0 0 0
0 2 0
2 1 1
1 0 0
10 9
1 1 0
1 0 0
2 0 0
1 1 2
1 2 0
1 1 1
0 2 1
0 1 2
2 1 1
2 0 1
10 5
2 0 1
2 2 0
2 1 0
0 1 2
0 0 0
2 2 1
1 1 1
0 0 2
0 1 0
1 0 1
10 5
0 2 0
1 0 3
0 3 3
0 2 3
0 0 2
3 2 1
2 1 1
1 0 0
1 1 0
2 2 1
10 6
4 1 3
4 1 0
2 0 3
1 1 1
3 3 2
3 3 1
3 2 3
4 2 2
0 2 0
2 3 4
10 8
2 5 3
5 4 1
0 1 0
1 1 1
3 1 4
5 2 1
5 3 1
3 2 3
2 4 5
0 1 5
10 8
2 2 1
0 0 5
2 1 2
4 1 5
3 3 0
5 5 5
2 4 0
5 0 5
4 4 4
0 1 2
10 4
3 2 3
2 2 3
1 0 3
3 0 0
1 2 0
1 1 1
0 3 0
0 0 2
2 3 0
2 0 1
10 2
3 2 2
0 3 0
0 1 2
4 0 4
0 3 1
2 1 1
0 1 1
4 4 3
1 4 4
0 2 4
10 8
0 2 3
3 1 0
2 3 0
1 1 0
1 1 3
3 2 2
2 3 2
3 0 3
0 0 3
0 1 2
10 2
2 2 2
0 0 1
1 2 1
1 2 2
0 2 2
2 1 1
0 2 0
2 0 1
2 2 1
1 1 2
10 4
0 0 2
2 0 0
1 0 2
0 0 1
2 1 0
1 2 1
0 0 0
1 1 2
1 1 1
0 2 0
10 2
2 2 1
3 3 3
3 0 0
2 0 1
0 2 1
1 2 0
0 2 2
0 2 0
2 2 3
1 0 1
10 2
0 2 1
0 0 0
2 2 2
2 0 1
1 1 2
0 2 0
1 2 1
1 1 1
1 2 2
2 0 2
10 2
2 0 0
1 2 2
2 2 1
1 0 0
0 1 0
2 1 0
0 2 2
1 1 2
1 1 0
2 1 1
10 7
1 1 2
0 2 0
0 0 2
2 2 2
2 2 1
1 0 1
2 0 2
2 1 0
2 2 0
0 1 2
10 9
0 4 5
1 1 4
4 1 4
1 2 2
1 3 4
0 2 2
4 2 2
4 1 1
1 5 5
0 4 1
10 6
3 2 3
1 5 3
5 3 3
5 2 3
1 2 3
3 4 4
5 5 2
5 1 4
1 0 4
3 5 5
10 9
0 2 1
2 0 1
2 2 2
2 0 2
0 2 0
0 1 1
2 2 1
0 0 0
0 0 1
2 2 0
10 5
1 3 2
2 1 2
2 2 1
2 1 0
2 1 3
2 4 1
0 4 0
0 1 1
4 4 3
1 2 4
10 3
4 5 3
1 1 3
3 1 2
0 4 0
5 4 5
4 2 4
3 0 5
3 0 2
5 5 3
1 0 2
10 2
2 4 0
2 4 5
1 0 2
0 2 0
3 3 5
2 5 4
5 4 3
5 3 1
4 3 3
1 2 2
10 7
1 1 0
2 1 2
1 1 2
0 0 1
2 2 1
0 2 0
2 1 1
0 0 0
1 2 1
0 1 0
10 7
2 5 3
5 3 0
5 2 0
4 1 5
5 3 5
1 4 2
0 3 4
2 4 1
0 1 5
0 3 5
10 7
2 2 3
5 2 2
4 3 4
3 3 4
3 1 0
0 1 2
1 5 1
0 5 5
1 3 3
2 4 2
10 6
0 1 0
2 2 2
0 0 0
0 1 2
2 0 2
0 2 2
2 1 2
0 0 2
2 0 0
2 1 0
10 3
1 1 0
2 1 0
0 0 0
0 1 0
1 2 1
0 2 2
1 1 2
2 2 1
0 1 2
0 0 1
10 9
4 3 5
1 0 4
5 3 1
5 5 0
0 2 1
1 4 0
3 0 3
3 2 1
0 4 5
2 0 0
10 8
2 2 1
4 0 5
4 2 5
5 3 0
2 2 5
4 1 5
1 4 4
5 0 5
3 3 3
5 4 1
10 4
1 0 3
4 4 4
4 0 1
4 4 3
2 0 4
1 2 0
3 0 2
0 2 0
0 2 3
1 0 1
10 3
3 3 2
2 1 1
2 0 3
0 0 1
0 1 1
3 2 2
3 2 1
3 3 1
2 0 0
1 3 2
10 9
1 1 3
4 4 3
0 2 0
3 4 4
0 0 3
1 1 0
1 0 2
1 3 1
4 1 2
3 3 2
10 3
3 0 0
1 0 0
1 4 2
2 1 0
0 1 3
4 4 4
2 2 0
3 2 0
3 2 4
1 0 4
10 4
0 1 0
2 0 4
1 2 4
3 2 1
2 3 0
1 4 0
0 0 3
4 0 3
1 0 0
2 1 4
10 6
0 3 1
3 3 0
0 0 0
3 1 3
2 1 0
3 0 3
3 1 0
1 1 1
1 1 0
0 3 2
10 7
1 1 2
0 1 2
1 1 0
0 2 0
1 0 2
2 2 1
0 2 2
0 0 1
2 1 1
2 0 0
10 6
4 3 3
2 1 0
3 3 3
2 4 3
1 2 0
0 2 0
0 0 0
3 0 3
3 2 4
3 3 4
10 9
3 1 0
2 1 1
0 1 0
2 2 0
3 1 2
3 3 1
1 1 0
2 0 1
2 3 0
1 3 1
10 6
2 4 1
2 2 4
1 0 4
2 1 2
2 3 1
1 0 1
2 2 2
1 4 4
5 0 3
5 2 4
10 9
0 0 2
0 2 0
3 2 5
4 2 1
0 5 0
2 1 3
4 3 1
4 4 3
5 3 4
1 3 2
10 2
4 1 2
0 0 4
3 2 2
3 2 4
1 0 1
2 0 3
2 2 0
4 2 3
1 0 2
4 1 3
10 4
3 2 0
3 0 2
1 2 0
2 4 1
3 2 3
1 4 2
2 3 3
3 1 3
0 0 2
2 2 3
10 2
2 0 2
4 4 4
0 2 4
3 3 3
3 2 4
4 2 1
2 2 4
4 3 3
4 1 4
3 2 3
10 4
4 1 1
1 1 0
2 1 1
3 1 0
0 2 0
2 0 2
2 2 4
1 0 1
2 2 2
2 0 3
10 6
2 1 2
2 2 4
3 0 4
2 5 4
0 0 5
5 4 4
1 2 0
3 2 2
1 4 1
3 0 3
10 8
1 3 0
3 0 3
0 1 2
0 3 1
0 2 2
3 3 3
3 1 0
1 1 1
2 2 0
3 3 2
10 6
2 3 3
3 0 1
3 3 2
2 3 2
2 3 1
1 0 1
0 2 1
2 2 2
2 2 3
3 2 1
10 4
1 0 2
1 0 0
1 1 0
2 1 0
0 2 2
0 2 1
2 2 0
0 1 1
1 2 1
1 1 2
10 4
4 2 5
1 0 4
2 4 0
0 2 3
1 3 5
3 3 3
5 4 5
3 4 4
5 1 5
2 4 4
10 3
1 4 2
2 0 4
3 4 1
1 4 0
3 3 0
3 4 2
4 3 4
3 4 4
4 2 1
0 0 0
10 7
4 0 4
2 0 0
5 2 0
5 4 1
4 3 0
1 1 1
3 2 0
4 2 3
4 0 2
4 5 5
10 4
1 1 0
0 3 0
1 0 2
0 2 2
1 3 1
0 2 3
3 2 3
0 1 3
0 1 2
0 3 1
10 5
5 4 2
5 5 1
1 0 3
0 5 4
1 5 0
4 0 4
0 4 0
0 4 2
2 4 2
5 0 5
10 4
3 0 0
4 4 5
3 2 2
2 0 4
5 3 2
1 4 2
5 1 2
0 2 3
0 4 2
4 3 2
10 3
0 1 1
2 3 4
4 0 5
4 1 5
0 1 0
3 0 0
5 2 0
0 5 3
0 3 3
3 5 2
10 8
1 2 2
1 4 4
0 2 4
3 4 3
4 3 3
0 4 1
3 1 2
1 3 0
0 3 4
0 0 4
10 6
5 0 1
4 5 5
5 1 3
4 2 1
3 4 0
3 5 1
5 5 2
1 4 0
1 4 2
3 2 4
10 6
1 1 3
0 2 3
3 0 2
3 3 3
0 0 3
3 1 3
2 2 3
0 2 2
2 3 3
1 3 2
10 2
4 4 2
4 2 2
4 4 3
2 2 4
4 4 0
2 0 1
0 1 0
2 0 3
0 1 1
2 4 1
10 9
4 4 2
3 2 0
3 3 4
0 0 0
3 4 4
4 0 2
0 2 4
4 3 3
0 4 4
1 0 4
10 8
2 0 1
0 0 3
0 3 2
1 1 0
4 1 1
0 2 1
4 2 4
4 2 1
4 3 1
2 3 4
10 7
1 0 2
1 1 0
2 1 2
0 2 0
1 1 2
1 2 0
1 0 0
2 1 0
2 0 2
0 1 1
10 2
1 2 0
0 4 1
0 2 3
0 4 2
4 0 3
0 3 4
2 3 0
0 0 1
2 4 2
3 1 2
10 5
1 0 3
0 1 3
2 1 0
0 2 0
2 1 1
1 3 1
0 1 2
0 2 3
3 3 3
1 0 1
10 2
0 1 2
2 0 3
0 1 0
1 3 1
3 1 0
3 2 0
1 1 3
3 0 0
0 0 0
3 3 3
10 4
4 3 1
2 3 3
0 0 4
1 3 3
1 2 1
3 2 1
2 4 4
4 0 2
4 4 2
2 4 0
10 2
2 1 2
2 0 2
0 2 0
0 1 1
2 0 0
2 2 1
0 0 1
2 0 1
0 1 0
0 1 2
10 9
5 0 4
2 5 2
0 5 3
2 5 5
4 0 3
2 2 5
1 4 4
0 1 3
5 5 1
0 0 3
10 7
3 0 1
1 0 3
0 0 0
2 1 3
2 1 2
1 1 2
1 2 2
3 2 1
1 1 0
2 2 0
10 5
1 4 3
1 2 4
4 2 4
1 0 2
2 3 2
4 2 3
2 1 0
1 3 0
3 3 0
0 1 4
10 4
4 5 3
2 0 0
2 1 5
4 3 0
0 4 3
4 1 4
4 2 3
3 1 1
0 4 1
1 5 0
10 4
2 2 2
2 3 0
3 0 2
2 0 1
0 2 1
1 1 0
0 1 3
3 1 1
1 3 0
0 1 0
10 5
1 0 2
0 1 2
0 0 1
0 2 2
2 2 0
0 0 0
1 0 1
1 2 2
2 2 2
0 0 2
10 3
2 0 0
0 2 2
2 1 2
1 2 2
1 1 0
1 1 1
0 2 1
1 2 0
1 0 2
0 2 0
10 7
2 0 0
1 2 0
0 1 0
1 0 1
0 2 0
0 2 2
2 2 0
2 0 1
0 0 2
2 1 1
10 3
1 0 3
2 0 5
1 2 4
4 0 3
4 5 0
3 1 5
3 0 5
5 4 0
0 5 2
3 4 0
10 7
1 1 0
2 1 2
2 3 2
2 1 0
1 3 1
0 3 3
2 3 1
1 1 2
1 3 3
0 1 0
10 5
1 1 2
1 4 3
4 0 1
2 1 3
4 1 3
0 1 0
4 0 0
0 2 3
1 2 0
1 2 4
10 3
0 0 2
1 0 1
2 0 0
2 0 1
2 2 0
2 1 0
1 1 1
1 1 2
2 0 2
2 1 2
10 6
3 3 3
0 2 0
2 1 1
3 3 1
1 3 1
3 1 1
0 0 3
0 1 0
2 3 1
2 1 3
10 6
2 0 1
2 1 3
1 3 2
0 0 0
1 2 0
2 2 0
0 1 1
0 1 3
2 3 3
0 2 1
10 8
2 2 1
0 1 1
1 2 1
0 2 2
1 2 0
0 1 0
2 0 2
0 0 2
1 0 0
1 1 2
10 8
0 1 1
0 1 2
0 0 2
0 1 0
2 1 1
0 0 0
0 2 2
2 2 0
0 2 0
1 2 2
10 3
1 4 0
5 4 2
0 4 5
1 5 4
3 5 4
3 1 2
2 0 2
3 2 4
2 2 1
0 2 5
10 8
2 3 4
2 2 2
1 2 2
0 2 0
2 4 3
1 1 2
2 2 1
4 3 2
3 1 1
4 2 0
10 3
2 1 0
2 2 0
2 0 0
2 1 3
0 0 2
3 2 2
0 2 2
3 0 1
1 2 1
2 0 3
10 5
0 1 5
5 0 0
0 4 3
5 4 2
2 1 2
4 5 3
2 0 0
1 1 3
3 3 5
3 5 1
10 3
1 1 2
0 1 2
1 2 0
1 1 0
2 2 2
0 2 0
0 1 0
1 0 1
1 2 1
0 0 2
10 9
0 1 2
2 2 0
1 1 2
0 2 1
0 0 0
2 0 1
1 0 1
2 0 2
1 2 2
1 1 0
10 6
4 5 0
4 3 2
1 5 0
3 1 3
3 2 1
5 0 5
1 5 3
4 4 5
5 3 0
0 1 3
10 8
2 2 0
3 1 3
0 0 1
3 1 2
2 0 1
1 1 3
2 1 0
0 1 2
2 3 2
0 2 2
10 6
3 3 3
2 3 3
2 3 2
1 1 2
1 3 0
3 3 1
3 2 0
0 0 0
0 1 0
1 2 3
10 9
2 2 2
0 2 0
1 1 0
1 1 1
2 1 0
0 2 2
0 0 1
2 2 1
2 0 2
1 0 1
10 7
0 2 0
3 3 1
2 3 3
2 2 3
0 0 0
0 1 3
1 2 3
2 0 3
1 0 3
1 2 0
10 8
0 3 0
1 1 2
0 1 3
1 1 0
1 2 1
2 3 3
0 2 2
0 1 1
2 1 2
0 0 0
10 6
1 3 2
3 0 3
3 2 3
2 2 1
1 1 0
0 2 2
2 2 2
1 1 3
2 3 2
0 1 1
10 7
2 2 2
0 3 1
1 2 2
0 1 0
1 1 3
2 0 1
3 1 3
3 0 2
0 2 1
3 3 1
10 6
1 1 2
2 0 2
0 0 0
1 2 1
1 0 2
0 1 2
2 2 1
0 2 0
2 0 0
1 1 1
10 4
1 3 1
2 1 2
3 0 0
3 0 1
3 4 0
3 0 2
4 4 0
2 2 4
0 2 0
4 0 2
10 9
2 1 2
2 2 1
2 0 1
2 1 0
0 0 2
0 2 2
1 1 0
1 1 1
0 1 2
2 2 0
10 3
2 1 1
1 4 4
0 4 3
3 3 2
2 1 0
0 2 3
4 4 1
0 0 2
0 3 1
4 0 2
10 7
1 2 0
1 0 2
0 1 1
1 0 1
2 0 2
0 0 0
1 0 0
2 0 0
1 2 2
1 2 1
10 3
1 0 1
3 3 3
0 3 2
1 2 1
1 2 2
1 0 0
3 2 2
3 3 0
3 2 3
2 0 3
10 6
0 5 4
0 0 2
0 2 1
4 0 3
4 3 1
5 0 4
3 0 5
0 1 4
1 4 1
5 3 1
10 3
2 4 1
0 2 1
2 3 2
0 1 2
0 0 1
0 4 2
3 1 3
3 2 3
3 0 4
1 3 3
10 8
1 1 2
1 2 2
0 2 1
1 2 1
2 0 2
2 2 2
2 2 1
0 1 2
2 0 1
2 0 0
10 4
3 2 4
3 0 4
3 4 3
4 3 3
3 0 3
4 2 2
4 3 1
0 4 3
4 2 0
1 3 2
10 5
1 2 1
1 0 1
2 1 2
0 1 2
0 1 1
2 1 0
0 2 1
2 0 2
0 0 0
0 0 1
10 2
4 0 3
2 2 3
3 1 3
3 2 3
0 2 0
0 3 0
0 4 4
1 2 1
3 0 0
2 4 1
10 4
1 4 0
1 3 0
4 3 2
2 2 1
0 1 4
5 3 5
2 1 1
2 4 5
3 0 1
2 4 0
10 8
1 1 1
3 4 5
4 0 0
5 4 3
5 5 4
4 3 4
4 5 4
0 1 1
3 2 5
4 0 4
10 6
2 2 3
1 1 0
1 3 1
3 1 1
1 3 3
3 0 1
3 1 2
1 3 2
3 3 1
0 2 0
10 4
3 0 0
1 1 3
3 3 2
2 0 2
1 0 3
0 1 2
2 0 3
3 3 3
0 3 2
2 2 1
10 6
5 2 2
1 2 0
5 3 0
0 5 0
3 5 4
1 2 2
3 4 2
5 3 2
2 4 3
2 0 1
10 7
0 1 0
2 0 2
2 2 1
1 1 2
0 2 0
2 0 0
2 1 1
0 0 0
2 0 1
1 2 1
10 7
1 1 0
0 0 1
0 1 0
1 1 2
2 2 0
2 1 1
1 1 1
0 2 1
1 2 0
0 2 2
10 6
1 4 5
4 3 4
4 2 5
3 0 4
3 2 0
3 0 0
3 2 4
4 0 5
5 2 1
4 2 2
10 9
1 2 2
1 0 1
0 1 0
0 0 0
0 2 1
2 2 0
2 1 2
2 0 0
1 1 1
1 1 2
10 9
3 3 2
1 2 4
0 0 2
4 1 0
2 0 1
4 1 2
4 2 3
3 2 3
1 3 3
0 4 2
10 2
2 0 4
4 2 0
2 3 1
1 1 0
3 3 1
4 4 1
4 1 2
2 3 4
0 0 3
0 3 0
10 4
4 1 3
1 4 2
2 4 0
3 4 2
4 3 2
0 0 3
2 3 1
2 2 2
3 4 3
3 3 1
10 4
2 0 0
2 3 2
0 1 3
3 0 1
1 3 3
3 2 3
1 1 2
3 0 3
3 1 2
1 3 2
10 7
2 0 1
1 0 1
0 1 1
1 0 2
1 2 0
0 2 2
0 1 2
1 1 0
1 0 0
2 2 0
10 8
4 3 4
0 3 3
1 5 5
4 4 4
5 2 4
1 4 4
3 1 3
3 0 3
3 4 1
1 2 0
10 9
3 2 4
5 2 2
1 2 2
0 1 0
1 2 0
5 1 1
3 5 5
5 4 2
1 5 0
0 1 2
10 2
0 2 2
0 2 1
3 1 3
1 1 0
2 0 0
1 3 1
0 1 2
1 0 1
1 2 1
0 2 0
10 9
4 0 3
2 3 0
2 2 2
4 4 1
4 1 0
1 4 3
2 4 2
4 3 2
0 0 3
2 3 4
10 7
3 2 2
1 1 3
1 0 1
4 0 5
1 2 4
5 3 0
2 2 0
2 1 0
1 1 2
2 5 0
10 9
0 3 2
0 1 2
1 1 0
0 2 2
2 1 1
1 0 2
0 2 3
3 1 0
2 1 3
2 2 2
10 3
3 0 0
0 0 1
0 1 2
1 3 1
2 0 2
2 3 1
3 2 3
1 2 0
2 3 2
3 2 2
10 5
2 2 1
1 2 1
1 1 0
1 0 0
0 2 1
0 1 0
0 2 0
0 2 2
1 0 2
1 2 0
10 5
0 4 2
5 1 0
0 0 3
0 4 4
4 4 2
4 2 2
2 1 4
0 1 5
2 3 1
3 1 0
10 9
2 0 1
2 0 4
4 1 3
4 0 1
1 2 3
2 2 3
3 5 3
2 3 4
1 1 5
5 3 4
10 7
0 2 0
0 2 1
0 2 2
3 1 0
0 3 2
3 3 3
0 3 1
1 2 1
1 2 2
1 0 3
10 6
0 1 4
1 0 5
4 4 3
3 1 1
2 5 3
5 3 4
4 4 2
2 4 1
1 2 3
5 3 3
10 3
0 1 1
0 1 0
2 1 1
0 0 1
0 2 1
2 1 0
2 0 2
1 0 1
0 0 2
1 0 2
10 3
4 4 0
4 1 4
0 3 4
1 3 3
0 5 5
3 1 4
0 2 5
1 1 2
5 3 2
5 1 5
10 7
2 2 2
2 2 0
0 1 1
0 0 2
0 2 2
0 0 0
0 1 0
0 1 2
0 2 1
2 0 1
10 6
2 1 1
2 2 2
0 2 2
1 2 2
0 0 0
1 0 2
2 2 0
2 1 2
0 0 2
2 1 0
10 3
2 0 3
2 3 3
0 3 3
1 2 3
1 3 3
3 1 0
1 3 4
0 2 5
2 4 5
1 0 1
10 5
2 1 0
1 0 3
2 2 1
3 3 3
0 2 2
3 1 1
3 0 1
1 2 3
2 0 0
2 2 2
10 9
0 4 1
4 4 2
0 3 5
0 0 1
5 2 0
4 1 2
2 3 4
3 1 0
3 0 1
0 5 3
10 9
0 1 0
2 3 0
2 0 1
4 3 3
3 2 0
0 3 4
1 1 3
4 3 2
2 4 4
4 1 1
10 2
5 5 4
1 2 2
5 5 2
1 5 5
0 2 3
0 3 0
1 2 0
2 4 3
5 1 3
0 5 3
10 7
3 0 1
2 0 0
3 2 1
0 2 1
0 4 1
4 0 0
2 0 4
4 1 1
0 3 4
2 3 4
10 8
5 2 3
2 2 3
3 1 0
3 5 5
4 0 4
1 4 2
4 1 1
5 4 3
4 5 5
1 0 5
10 6
3 2 2
1 2 1
3 0 1
1 3 0
2 2 1
2 1 1
2 0 0
1 2 3
2 0 2
3 2 0
10 7
0 3 0
0 0 3
2 0 2
1 2 0
0 0 0
0 2 2
2 0 1
0 3 2
1 3 2
1 0 2
10 4
2 0 2
0 1 0
1 2 0
1 1 2
1 2 2
1 1 0
2 1 1
1 2 1
1 0 2
2 2 1
10 8
1 1 0
1 3 2
1 3 0
2 2 0
3 2 2
0 0 3
0 0 2
0 2 2
3 1 1
2 0 1
10 9
1 0 0
0 0 0
2 2 1
0 2 2
1 2 1
0 1 0
2 0 0
2 2 2
2 0 1
0 2 0
10 3
2 1 1
1 2 2
0 2 1
1 2 0
2 1 2
2 0 2
1 1 0
1 2 1
2 2 1
0 1 0
10 9
0 3 5
3 0 3
5 4 2
0 1 0
4 2 2
1 0 4
1 1 2
5 3 0
2 4 3
2 5 3
10 6
0 0 1
2 0 2
1 1 2
0 0 0
1 0 1
2 0 1
1 1 0
0 2 2
2 2 1
2 1 0
10 5
3 1 2
2 0 3
1 2 3
1 3 1
3 3 3
3 0 3
0 2 2
0 1 2
1 0 0
0 0 2
10 6
0 1 1
2 2 3
0 1 4
2 2 2
1 0 2
4 0 3
0 4 4
3 2 4
4 2 2
3 0 1
10 9
2 4 4
4 3 0
3 2 2
4 4 4
2 2 4
0 2 3
0 4 4
2 4 0
0 0 2
0 0 3
10 8
2 2 3
3 2 3
1 0 1
2 2 2
0 0 1
3 1 0
3 1 1
3 3 1
1 2 0
1 3 0
10 4
1 1 2
1 1 0
2 1 0
1 2 2
1 2 0
0 0 2
0 1 0
2 2 2
0 2 2
1 0 1
10 9
1 3 3
4 4 4
2 4 2
4 3 0
1 1 3
3 4 4
1 2 2
3 0 2
2 3 2
4 2 3
10 9
2 1 2
2 0 1
3 3 1
0 2 1
2 0 2
0 2 2
1 3 2
3 3 0
1 1 2
0 2 3
10 5
3 3 4
1 4 3
3 2 2
0 1 1
3 0 3
1 2 1
3 2 1
4 2 3
4 4 1
0 4 1
10 8
3 3 3
1 0 1
1 2 1
2 2 0
3 0 4
0 2 4
2 0 0
2 2 1
1 0 3
1 1 2
10 6
0 0 1
1 2 0
1 1 3
0 2 2
0 3 0
0 1 1
1 2 3
3 3 0
0 2 1
2 0 0
10 5
3 3 4
0 0 3
2 2 4
1 2 4
2 4 2
2 0 4
4 2 3
4 2 2
1 1 4
0 1 4
10 6
3 1 4
1 1 4
0 3 4
4 4 3
4 4 2
1 1 3
1 4 4
2 0 1
0 1 4
1 2 3
10 5
0 0 1
2 3 4
4 3 1
1 0 4
0 3 4
2 0 4
1 4 2
2 4 0
0 4 2
1 3 2
10 8
2 0 2
1 2 1
3 0 2
3 1 0
0 3 3
3 1 1
2 3 3
1 2 0
3 3 3
3 1 3
10 9
2 1 0
2 1 2
0 2 1
2 0 1
0 1 0
1 2 1
2 0 2
2 2 1
0 1 2
0 0 0
10 7
4 1 1
5 5 5
4 2 0
0 3 1
0 1 4
3 4 1
0 3 0
3 0 1
3 4 5
1 4 0
10 7
0 1 2
2 1 2
2 0 1
1 2 2
2 0 0
2 1 1
0 1 1
2 2 2
0 2 1
1 1 0
10 4
2 0 0
0 2 1
0 1 2
2 1 2
1 2 0
1 1 0
0 1 1
2 2 0
1 1 1
0 1 0
10 4
2 3 5
2 3 1
2 4 3
5 1 2
0 0 4
1 3 0
5 4 2
1 5 4
4 4 2
0 4 1
10 5
0 0 0
2 1 2
3 0 0
3 3 2
2 3 0
3 2 3
2 3 3
0 1 2
3 0 2
0 2 3
10 3
2 0 3
1 0 0
1 0 2
0 2 0
2 2 1
3 1 0
1 2 3
0 1 0
0 1 2
1 1 3
10 4
1 3 1
4 3 5
0 4 3
5 0 0
5 3 2
4 4 1
1 4 3
2 2 3
4 3 0
0 4 1
10 7
0 2 1
1 0 1
0 1 2
1 1 2
0 0 1
2 0 0
0 0 2
2 1 1
1 0 2
1 2 2
10 8
5 0 0
3 1 2
5 4 5
0 3 3
0 1 5
1 0 5
5 5 5
2 4 3
0 1 2
2 4 5
10 8
3 3 1
1 3 1
3 1 0
1 2 2
1 0 1
1 1 0
3 0 1
0 3 0
3 3 0
0 1 3
10 6
2 2 3
0 1 2
3 3 0
0 1 0
4 2 4
1 1 0
0 4 2
3 2 3
3 3 4
0 0 2
10 7
1 0 3
0 3 3
3 1 3
0 1 3
3 1 1
1 2 0
1 3 0
3 0 0
3 3 1
3 2 2
10 6
1 4 2
1 1 1
2 0 2
4 1 2
1 1 4
0 4 3
4 3 1
3 4 1
4 2 0
2 4 1
10 8
0 3 2
3 0 0
3 1 2
3 2 3
2 3 3
3 2 2
1 0 3
0 1 1
1 2 2
1 2 1
10 7
2 0 2
1 1 0
1 1 1
1 2 1
0 2 2
0 0 2
2 2 2
0 1 0
0 0 0
0 2 0
10 4
0 3 4
4 1 2
4 2 1
0 2 4
4 3 0
1 1 1
2 3 0
0 3 2
0 0 2
1 2 0
10 5
0 2 2
2 1 3
3 0 0
4 4 3
2 2 1
3 0 3
4 1 4
0 1 3
0 4 0
3 2 1
10 7
0 2 1
0 1 2
0 1 1
1 2 2
2 2 1
2 2 2
2 1 2
0 0 0
1 1 0
1 0 1
10 2
3 1 2
2 3 2
0 1 2
2 1 1
3 3 2
3 2 2
3 2 1
3 3 3
1 3 1
3 1 1
10 6
0 0 1
3 2 2
2 1 2
0 1 0
1 0 2
3 3 0
2 1 3
2 0 1
1 0 0
2 2 2
10 3
1 0 1
1 1 2
1 2 1
0 0 1
2 0 1
1 2 0
0 2 2
2 0 0
2 0 2
0 1 1
10 3
2 1 3
2 2 3
1 2 1
2 3 1
1 1 3
0 1 1
0 2 3
3 3 1
0 0 0
3 0 1
10 5
1 0 2
0 2 0
2 1 3
0 0 2
3 2 3
3 3 3
3 2 0
0 2 2
3 2 1
0 0 1
10 9
0 0 2
2 4 2
3 2 4
4 3 3
0 3 4
4 2 4
4 1 2
0 4 3
1 4 3
1 3 3
10 9
3 1 3
2 3 2
1 0 3
1 2 3
1 0 1
0 1 1
3 2 2
3 1 1
0 1 0
0 3 0
10 6
3 1 3
2 0 3
0 1 3
1 0 1
0 0 2
2 3 1
0 1 2
0 3 0
1 0 3
3 1 1
10 5
1 1 1
1 0 0
2 2 1
0 2 0
0 2 1
2 1 2
2 1 1
2 0 2
1 0 2
2 0 0
10 7
2 2 2
1 1 2
0 2 1
2 1 2
2 0 1
1 2 0
1 0 2
0 0 0
1 2 2
2 0 2
10 4
2 4 4
1 4 4
2 0 3
0 1 2
3 4 3
4 3 3
1 3 2
2 1 0
4 0 0
1 0 2
10 9
2 0 0
1 0 1
1 2 1
0 0 0
1 1 0
1 2 2
0 2 1
2 2 1
0 0 2
1 2 0
10 3
0 2 1
2 0 0
2 1 2
1 1 2
0 0 2
0 0 0
0 0 1
2 2 2
1 1 0
1 0 0
10 2
0 4 1
1 5 4
3 3 4
1 3 2
0 4 0
1 5 5
4 5 3
1 0 3
0 1 4
4 4 0
10 2
2 0 0
0 0 1
2 0 2
1 1 1
2 1 1
0 0 2
0 2 1
0 1 2
0 0 0
1 2 0
10 7
3 0 0
1 3 0
3 1 1
1 0 3
3 3 1
0 1 1
2 3 1
0 1 3
0 0 3
0 0 0
10 8
2 0 2
1 1 1
2 3 0
3 2 0
2 3 2
3 2 3
3 3 1
3 3 3
0 1 2
2 2 0
10 6
3 1 2
2 1 3
2 1 2
3 0 0
3 2 2
1 1 1
0 3 2
0 1 2
3 3 3
2 2 1
10 2
1 1 0
0 0 1
2 0 1
0 0 0
0 1 0
0 2 2
2 0 0
2 0 2
2 2 0
0 2 0
10 7
2 0 5
0 4 3
5 2 1
2 4 0
4 1 3
4 0 5
0 1 5
1 2 4
3 4 3
5 4 5
10 7
2 1 2
0 0 0
2 0 2
2 2 2
2 1 1
0 1 1
0 0 2
0 2 2
2 0 0
2 2 0
10 6
0 2 1
1 2 1
0 1 1
2 0 0
0 1 0
0 2 0
2 2 0
1 1 2
2 1 2
1 2 0
10 5
0 1 2
2 0 0
2 1 0
1 0 2
2 2 2
0 2 1
0 1 1
1 2 1
2 2 1
0 0 1
10 2
4 2 1
4 1 2
3 2 2
0 1 2
3 5 4
4 4 5
5 0 5
1 3 4
3 2 0
0 2 2
10 9
2 5 4
1 2 4
0 1 4
2 1 2
0 5 4
5 5 4
1 4 2
0 2 1
5 5 3
2 0 2
10 8
1 2 2
1 3 0
0 5 3
4 0 5
3 4 3
5 5 2
3 2 5
2 2 5
4 3 2
1 1 2
10 7
4 2 0
2 4 1
2 3 5
0 0 2
0 3 5
0 1 1
2 1 4
2 3 2
2 2 3
4 3 5
10 7
3 2 2
0 1 3
4 2 1
0 2 2
3 4 1
4 3 3
4 4 1
3 4 3
3 0 1
3 4 2
10 8
3 2 3
1 1 1
4 3 3
1 1 2
2 3 2
4 2 0
2 0 0
0 1 0
2 1 1
4 1 3
10 3
5 1 4
4 2 0
0 3 1
1 5 3
4 2 5
3 1 0
0 1 5
2 2 3
2 1 5
1 3 4
10 5
1 5 0
2 3 3
4 4 1
3 3 2
2 0 2
1 5 3
1 4 3
0 4 3
4 4 4
0 2 3
10 4
0 4 0
4 4 0
0 0 2
1 4 0
3 1 2
0 0 3
1 2 3
3 4 4
3 4 0
4 0 2
10 7
3 4 1
4 1 3
0 5 2
5 5 5
2 4 2
3 2 0
2 3 3
4 0 2
4 5 1
5 5 1
10 2
5 4 2
2 4 5
2 0 0
4 1 5
1 4 5
2 5 4
1 3 0
5 3 5
1 2 4
3 1 4
10 6
5 1 2
5 0 0
3 0 4
2 5 3
5 4 0
4 3 0
4 4 0
5 0 1
5 1 5
2 5 4
10 6
2 2 5
3 3 2
2 2 1
0 2 1
1 5 2
1 5 5
3 5 0
3 3 3
0 2 5
1 4 2
10 2
0 2 4
3 3 3
3 3 2
0 3 1
4 0 3
4 3 2
0 1 4
4 0 0
1 4 1
1 1 2
10 9
0 2 0
0 5 3
1 1 2
1 3 3
4 5 5
4 2 3
0 2 3
3 2 1
2 1 2
2 3 1
10 3
0 1 2
2 0 2
1 0 0
1 2 0
0 1 0
1 0 1
2 2 1
2 0 0
2 2 2
1 1 2
10 3
1 2 0
3 0 2
2 4 0
2 1 0
0 3 2
3 3 3
0 0 0
2 2 0
4 3 4
0 2 0
10 4
0 4 4
4 0 3
3 2 3
4 0 4
2 0 3
4 1 2
0 3 0
3 4 4
1 0 4
4 1 0
10 3
2 1 2
2 0 1
2 2 2
1 3 2
2 3 0
3 0 2
1 2 0
1 1 0
1 3 3
1 2 3
10 8
2 3 1
1 2 0
0 3 3
1 2 2
0 0 0
1 1 2
3 0 0
0 3 0
0 0 2
0 0 3
10 3
1 2 0
0 2 2
0 1 0
2 1 1
1 0 2
3 0 3
1 3 3
1 2 1
2 0 2
0 1 3
10 9
1 2 2
2 1 1
0 1 2
2 2 1
0 2 2
0 0 1
1 0 0
1 1 2
1 0 1
0 2 1
10 3
0 1 0
1 1 0
0 1 1
0 0 2
0 1 2
1 0 1
1 0 0
2 2 1
1 1 2
0 2 0
10 8
4 0 3
2 0 3
3 2 0
0 2 1
2 4 0
2 0 0
0 4 4
1 0 3
1 3 0
4 4 3
10 3
3 4 1
0 1 1
3 5 4
3 3 0
4 5 1
2 5 2
2 2 2
1 1 3
4 3 4
5 4 4
10 3
3 1 0
3 2 3
3 0 0
4 3 2
1 4 4
2 0 3
0 2 3
1 1 1
0 3 3
0 3 2
10 8
3 5 0
4 0 2
3 2 4
5 0 2
5 5 0
0 5 2
1 2 1
2 5 4
1 0 1
1 0 2
10 5
1 0 0
0 2 0
2 2 2
0 0 2
3 3 4
3 3 1
3 3 0
3 3 2
0 4 0
3 4 3
10 6
3 0 4
1 4 4
1 3 4
4 0 4
3 1 1
1 0 0
2 4 4
4 4 4
3 4 3
1 0 2
10 9
1 0 1
1 5 1
0 0 3
2 2 0
3 2 2
4 3 1
0 2 4
0 1 1
1 0 2
4 1 2
10 4
1 1 1
1 3 3
1 1 0
2 2 3
0 0 2
0 0 1
2 3 3
2 0 2
2 3 0
2 1 1
10 6
2 3 2
2 4 2
0 3 1
0 0 0
1 4 4
4 1 2
3 4 1
2 2 3
1 4 3
4 0 1
10 5
2 2 1
2 1 1
0 2 1
1 0 1
2 1 2
0 1 1
0 0 0
0 2 2
1 2 1
2 0 0
10 6
2 0 3
2 3 3
2 4 0
4 1 4
0 1 1
2 3 1
4 0 1
0 1 2
2 1 1
3 4 0
10 3
2 1 1
2 0 1
1 2 0
1 2 2
2 0 0
0 1 1
0 2 0
1 0 1
0 1 2
0 1 0
10 2
4 3 1
1 3 2
2 4 1
1 4 2
5 4 3
4 5 3
4 0 1
4 2 4
4 5 1
5 0 3
10 3
0 3 1
3 2 4
3 1 4
1 0 2
1 1 2
4 4 2
4 2 2
1 0 3
2 1 3
2 2 1
10 9
3 4 1
2 4 4
3 1 2
2 1 2
3 0 1
2 0 0
1 2 0
0 5 2
2 3 5
4 2 1
10 5
0 2 2
0 4 4
4 1 3
2 0 3
1 2 0
4 2 3
2 3 1
3 1 1
3 3 2
3 2 3
10 6
2 1 0
0 3 1
1 0 3
3 3 0
0 1 2
3 0 0
3 0 1
3 4 2
4 2 0
2 0 1
10 3
2 4 4
2 3 0
1 0 3
5 2 3
1 4 0
0 4 0
1 3 5
0 5 4
1 2 1
5 4 3
10 9
1 2 1
1 2 2
1 0 1
0 0 0
2 2 1
2 2 2
2 2 0
0 2 2
0 2 0
2 1 0
10 2
4 3 0
3 2 2
4 5 1
4 2 1
5 2 3
4 2 2
0 3 1
4 3 1
3 2 3
2 5 3
10 9
0 2 4
1 3 3
4 0 4
4 1 0
0 2 1
1 1 1
5 1 2
4 0 0
0 3 3
4 2 0
10 8
1 1 1
0 2 1
0 0 2
0 0 1
1 1 0
1 0 1
0 0 0
2 2 0
0 1 1
2 2 2
10 7
2 2 2
0 2 0
0 2 2
2 1 0
1 0 2
2 2 1
1 1 2
0 1 1
0 0 1
0 2 1
10 3
4 4 2
0 3 0
0 3 3
1 0 2
1 1 3
0 0 0
3 3 5
5 3 4
2 4 5
0 0 4
10 7
2 1 0
0 1 2
0 1 0
1 0 1
1 0 2
1 1 2
1 0 0
1 1 1
0 2 1
0 0 1
10 6
2 0 1
4 1 2
2 1 2
4 3 0
0 3 2
5 3 2
4 2 2
3 5 4
4 1 4
4 5 4
10 8
2 1 3
0 2 2
3 3 2
4 0 2
1 3 4
1 2 0
3 4 1
1 4 1
1 1 1
1 2 3
10 9
2 2 4
4 2 1
2 3 3
5 3 1
5 1 0
0 1 3
1 3 3
2 2 3
1 5 2
5 3 4
10 3
1 0 2
1 0 1
0 1 1
1 2 0
1 1 0
1 2 3
2 1 3
3 2 3
2 3 1
3 0 3
10 7
3 1 3
2 0 2
2 2 1
1 3 1
1 2 0
0 1 0
2 3 0
2 3 1
0 1 3
3 1 2
10 3
1 2 1
0 1 1
0 0 0
0 1 0
2 0 2
0 0 1
0 2 0
2 1 1
1 0 2
1 1 2
10 2
0 1 2
1 3 1
3 3 3
1 2 0
2 2 1
0 3 1
3 3 2
1 2 3
2 3 3
2 3 0
10 2
2 1 1
2 1 0
1 1 0
0 1 1
1 0 2
0 0 2
0 0 0
2 0 1
2 1 2
1 2 1
10 9
2 1 0
2 0 2
1 2 3
2 2 0
3 3 1
2 3 0
2 0 3
2 0 0
3 0 3
1 3 1
10 4
5 5 4
3 4 2
4 5 4
3 0 5
2 1 2
1 0 1
1 2 1
0 1 1
0 4 4
1 4 5
10 4
3 2 0
2 0 1
1 0 3
0 2 0
2 3 3
3 0 1
0 3 3
0 2 3
2 2 1
1 3 0
10 6
5 4 4
0 2 2
3 5 0
2 1 1
5 0 0
2 4 0
4 0 3
1 0 1
5 2 5
1 3 3
10 9
2 0 1
0 2 2
0 2 1
1 2 2
0 0 1
0 2 0
1 0 1
2 2 1
0 0 0
1 0 0
10 7
3 1 5
4 1 1
0 2 1
4 0 1
3 2 3
0 3 1
1 4 3
4 4 1
0 1 1
0 4 1
10 8
1 3 1
3 3 2
1 2 0
3 1 1
3 0 2
1 3 0
0 0 2
2 1 2
0 0 1
0 1 1
10 8
0 0 1
0 2 0
0 0 2
0 1 0
1 2 2
2 2 2
0 2 1
2 0 1
0 0 0
1 2 0
10 2
3 0 3
2 2 3
1 0 0
1 2 2
0 3 0
3 1 1
1 1 3
0 2 0
2 3 2
1 2 1
10 5
0 1 2
2 3 0
3 5 4
4 5 4
2 1 1
1 2 0
4 2 1
2 0 1
3 4 4
3 5 3
10 3
4 0 2
0 0 4
4 4 1
4 3 4
4 1 4
3 1 2
3 4 3
4 1 3
4 4 4
1 2 1
10 9
0 4 0
2 4 2
3 5 0
3 3 3
5 2 0
4 1 2
0 5 1
1 0 4
0 3 4
5 3 2
10 5
0 3 5
2 1 5
1 2 2
1 0 1
0 1 3
1 5 2
5 4 3
4 3 4
3 1 5
2 1 0
10 4
0 0 0
1 1 1
1 2 1
0 2 0
1 0 2
2 1 2
0 2 2
0 0 2
2 0 1
1 0 1
10 2
2 1 2
2 1 1
1 1 1
2 0 2
2 1 0
1 2 0
1 0 0
0 0 2
0 0 1
1 0 2
10 4
1 0 2
3 4 1
0 3 3
3 3 3
4 3 0
1 0 1
1 2 0
1 2 3
0 1 1
0 4 3
10 2
2 2 1
0 4 4
0 0 3
3 2 3
3 3 1
0 0 0
3 4 4
4 3 4
3 2 1
0 1 2
10 3
2 2 1
3 1 3
0 1 2
2 0 1
3 2 1
2 0 2
2 3 0
0 2 2
1 1 2
3 0 0
10 6
1 1 0
1 1 2
0 0 2
2 2 2
1 2 2
0 2 2
2 1 2
1 0 0
0 2 1
1 0 1
10 4
5 0 3
5 1 4
1 3 2
3 5 4
1 4 0
0 5 0
5 1 0
3 3 2
0 3 5
1 1 1
10 9
1 0 1
1 0 0
2 2 2
2 2 1
1 1 2
1 1 1
2 0 0
0 1 2
1 1 0
2 0 1
10 5
2 2 2
0 3 2
0 3 3
3 1 3
4 3 0
0 4 1
4 3 4
4 1 3
3 3 3
3 0 2
10 7
2 3 0
3 2 4
2 3 3
0 0 1
2 1 1
5 2 4
5 5 1
3 0 2
2 2 5
0 5 3
10 2
1 2 3
5 1 0
1 5 4
1 4 5
4 2 0
2 3 1
3 1 0
1 0 1
0 5 0
0 0 4
10 7
0 0 0
0 1 1
1 1 1
2 1 1
0 0 2
0 2 2
1 0 2
1 2 2
1 1 0
0 2 1
10 6
1 1 2
3 1 1
3 3 0
3 2 2
2 2 2
3 0 1
1 2 2
3 1 0
0 3 0
2 2 1
10 8
3 3 2
2 1 0
0 0 3
2 0 2
2 2 3
0 2 2
2 1 1
1 0 3
0 1 0
3 0 3
10 7
2 4 0
3 4 4
2 0 3
3 2 1
0 1 3
2 5 3
3 2 3
3 3 2
0 1 1
4 4 0
10 3
0 4 4
0 2 2
1 3 3
2 0 1
2 1 4
2 0 4
3 0 3
4 1 3
1 0 3
4 4 1
10 3
0 1 2
2 4 5
3 1 2
2 2 0
0 3 0
3 1 0
2 1 0
0 4 1
2 0 4
2 3 5
10 6
2 0 0
2 2 1
0 2 2
0 2 1
1 1 2
2 0 2
1 0 1
1 2 2
2 1 2
0 1 2
10 8
1 2 0
1 1 1
1 0 2
2 1 1
2 2 2
0 2 1
0 2 2
1 0 0
1 0 1
2 0 1
10 7
2 1 3
0 0 3
3 1 4
3 0 4
0 1 1
0 2 0
0 1 3
3 3 2
3 4 1
3 0 0
10 2
2 3 0
0 1 1
0 5 5
0 4 1
1 1 0
4 3 0
4 2 4
0 0 1
0 3 1
3 4 4
10 2
1 1 1
2 0 0
0 1 3
0 3 1
1 1 2
3 1 3
0 2 1
3 0 3
0 0 1
0 0 0
10 7
0 3 1
3 3 0
1 0 1
3 0 2
3 0 3
1 2 3
1 1 3
0 1 2
0 0 2
0 2 0
10 4
1 1 0
2 2 0
0 0 0
1 2 0
1 2 2
0 1 1
0 1 0
1 2 1
2 0 2
0 0 2
10 8
4 0 2
5 1 3
2 1 2
3 3 2
4 4 1
3 5 1
3 4 0
1 5 2
0 4 2
2 3 1
10 8
3 3 0
1 2 1
0 1 3
1 4 1
2 3 3
2 5 1
1 1 5
4 4 2
0 2 5
2 3 4
10 4
1 0 3
4 4 3
2 4 3
2 3 0
1 0 4
0 4 1
4 3 1
3 4 3
3 0 4
4 2 2
10 7
2 0 3
3 3 2
0 3 3
0 1 3
1 0 2
0 0 0
0 2 0
0 2 3
3 3 3
2 3 1
10 6
3 4 4
4 0 2
1 3 2
3 4 3
0 3 1
2 2 3
0 1 2
0 0 2
0 1 0
3 3 0
10 7
2 1 1
2 2 2
2 0 0
2 2 0
0 0 0
1 2 2
0 1 1
1 1 0
1 2 0
0 0 2
10 3
0 5 3
1 4 4
2 2 5
2 2 0
5 1 3
2 5 5
4 0 5
0 0 3
4 2 1
4 0 3
10 7
1 0 0
0 2 1
1 2 2
1 1 2
2 2 1
2 1 2
1 0 2
2 1 0
2 1 1
1 0 1
10 6
2 3 2
0 1 3
0 3 1
0 1 2
2 3 0
3 2 0
3 2 1
3 1 2
3 0 2
2 1 0
10 3
1 1 4
3 3 4
1 1 0
3 2 1
3 1 5
4 1 1
3 4 1
4 3 0
5 2 2
3 5 4
10 7
0 3 1
4 0 1
2 1 0
1 4 4
4 1 4
4 4 3
0 0 1
1 2 2
1 1 3
0 1 3
10 5
3 1 4
2 3 0
4 2 3
4 3 0
0 2 4
3 4 3
3 2 1
0 1 1
4 1 3
1 0 2
10 4
3 0 3
3 1 4
1 3 1
2 5 3
2 1 5
3 2 5
3 1 5
2 0 5
2 0 1
1 3 5
10 2
0 1 0
1 2 1
3 3 5
2 3 2
3 3 3
1 4 5
4 3 5
1 0 2
0 4 0
0 4 5
10 7
2 4 0
1 1 2
1 0 3
0 2 3
1 2 1
2 2 2
4 0 4
3 2 1
1 3 0
4 1 2
10 5
0 2 2
4 1 0
1 2 4
1 4 0
4 2 3
1 0 0
3 3 0
1 1 4
4 0 4
2 0 3
10 8
1 1 2
0 1 1
2 0 2
1 0 1
0 1 2
1 0 0
0 0 2
2 1 1
0 2 2
0 2 0
10 3
1 3 3
1 0 0
3 0 1
2 0 3
2 3 1
2 2 2
3 3 3
3 0 2
1 1 2
1 3 2
10 4
2 3 2
3 3 0
2 1 2
1 2 2
2 3 1
3 1 3
3 0 0
0 0 1
2 0 2
2 2 2
10 8
2 0 0
3 2 1
3 1 2
0 1 1
1 0 1
1 3 3
1 2 0
0 0 1
1 1 3
2 2 1
10 2
0 1 0
0 2 0
0 1 2
1 2 1
0 0 0
1 1 2
1 1 1
0 0 2
2 1 1
1 0 0
10 5
4 1 2
2 3 2
1 1 4
4 4 5
0 1 2
2 5 3
5 0 3
1 4 1
4 4 1
1 1 3
10 6
2 3 2
2 0 3
3 3 1
3 1 0
0 3 3
2 3 3
2 1 0
2 0 1
1 1 2
1 1 0
10 9
0 1 2
1 1 1
2 2 0
1 0 2
1 0 1
0 0 1
2 1 1
0 2 2
0 0 2
1 2 1
10 6
1 3 1
2 3 2
0 1 3
2 2 3
3 2 1
2 1 0
0 2 2
3 3 0
1 2 3
1 2 2
10 9
4 2 3
1 4 0
0 4 4
0 0 3
3 0 1
4 1 1
3 2 1
2 0 3
3 3 3
4 4 2
10 9
3 2 2
0 2 3
0 0 2
1 0 0
0 3 1
0 2 2
1 0 2
3 1 2
2 2 1
0 0 1
10 6
2 2 1
2 1 1
1 2 2
1 1 0
2 2 2
1 1 1
0 2 0
0 0 2
2 0 0
1 2 1
10 6
2 0 1
0 2 1
0 1 0
2 0 0
0 2 2
1 2 2
0 0 1
2 1 1
1 0 1
1 2 1
10 3
0 1 0
1 0 2
2 1 0
2 0 1
0 1 2
2 2 0
1 1 1
1 0 1
0 0 1
1 2 2
10 3
2 2 0
1 2 2
2 0 1
2 2 1
0 1 2
1 0 2
0 1 0
2 2 2
0 0 0
2 1 2
10 7
1 2 1
1 2 3
1 0 4
2 2 0
4 1 2
4 1 0
4 4 0
4 3 0
2 3 3
2 1 2
10 6
1 1 1
4 1 3
2 1 2
4 3 4
0 4 1
0 0 0
3 2 5
2 5 1
2 1 3
5 0 1
10 8
3 0 2
0 3 3
2 2 0
2 1 3
0 3 0
2 0 3
2 1 1
2 2 3
0 2 0
3 0 3
10 9
1 2 5
0 3 5
0 2 2
5 3 1
3 4 1
4 0 0
3 3 2
3 1 5
5 3 4
2 4 4
10 5
1 2 1
4 3 0
1 1 0
0 1 3
3 3 4
4 1 2
1 0 4
1 0 3
4 0 4
1 4 4
10 8
1 2 1
0 0 1
3 1 1
1 1 0
0 0 3
2 0 1
0 2 0
1 1 1
2 2 0
0 3 1
10 5
2 2 2
1 2 1
1 0 2
1 2 2
1 0 0
1 0 1
2 0 1
2 0 0
2 1 0
0 0 2
10 9
4 0 2
0 3 5
2 5 2
4 4 5
0 4 1
4 4 4
5 0 1
5 1 1
5 3 3
5 2 4
10 6
5 0 2
4 0 2
1 3 0
3 1 1
4 4 5
3 5 2
1 2 2
4 5 1
2 2 0
1 0 3
10 2
0 2 1
2 2 1
2 1 3
1 0 3
0 3 2
3 0 1
3 0 2
3 3 1
1 2 0
1 1 2
10 3
2 0 1
2 2 2
0 2 0
0 0 0
2 1 2
1 2 2
0 1 0
1 2 0
1 1 1
2 2 0
10 5
3 0 3
2 4 1
3 2 2
3 1 2
2 0 1
2 1 1
3 4 4
3 3 3
1 3 2
3 0 1
10 8
1 1 4
1 2 0
3 4 4
4 0 0
4 1 3
1 3 2
3 3 1
2 3 4
4 1 0
0 1 2
10 6
3 0 2
4 4 3
1 4 1
2 2 0
4 1 0
2 4 0
3 1 4
1 4 4
3 1 3
4 2 3
10 7
3 0 2
0 1 0
0 3 0
3 2 1
2 3 0
3 0 3
3 2 3
2 1 1
3 1 1
2 2 1
10 2
5 4 4
1 3 0
5 5 0
3 1 1
0 2 2
1 0 0
1 4 4
0 5 2
2 4 2
3 3 5
10 3
1 2 2
2 1 1
4 1 3
0 0 2
4 3 0
4 1 0
3 4 0
3 1 2
1 0 1
4 4 4
10 9
0 0 1
1 0 2
0 2 2
2 0 2
2 1 0
1 1 1
1 0 1
0 2 1
0 0 2
0 2 0
10 8
1 3 2
3 1 0
1 1 2
3 2 3
2 2 2
2 3 3
2 1 3
1 3 0
2 3 2
2 0 1
10 6
2 2 0
1 0 2
2 1 1
2 1 2
1 1 2
0 1 0
1 1 1
2 0 1
0 1 1
1 2 1
10 6
4 3 3
0 4 3
0 1 5
1 3 3
2 3 4
5 5 2
2 4 3
0 4 5
2 0 1
3 1 0
10 6
1 0 3
3 0 1
2 3 2
2 0 1
0 1 1
2 0 2
1 0 0
0 0 3
3 1 0
3 2 3
10 3
2 1 1
0 2 1
2 2 1
0 0 0
0 0 1
2 2 0
2 0 1
2 1 0
0 1 2
0 2 2
10 4
4 3 3
4 1 1
0 2 2
4 1 2
1 0 3
1 2 0
4 2 1
4 4 2
3 0 0
4 3 1
10 8
2 1 3
1 3 3
2 3 0
1 3 4
1 3 2
3 1 3
0 0 4
0 0 2
2 4 1
4 3 3
10 6
2 1 1
2 2 1
2 1 0
0 0 2
1 0 0
1 1 0
1 2 0
2 0 2
0 2 2
1 2 1
10 2
1 1 3
1 3 3
3 3 3
1 0 1
1 0 3
3 0 3
0 3 0
2 0 3
2 1 1
1 3 2
10 2
0 1 3
2 1 2
0 0 3
1 0 1
1 3 0
1 3 3
1 1 3
3 3 2
2 3 3
3 2 3
10 3
1 2 3
0 3 4
3 2 2
1 0 0
3 4 4
3 4 3
0 4 2
0 3 1
4 2 0
1 4 1
10 4
3 5 4
2 1 4
2 2 2
2 3 1
0 0 2
1 3 4
5 4 1
0 2 2
1 4 5
0 4 3
10 9
3 2 3
3 2 2
2 1 0
3 0 0
4 1 0
1 2 0
0 0 4
2 0 0
4 3 2
1 3 1
10 4
4 4 1
2 2 3
2 1 3
0 3 1
3 4 3
4 0 4
2 4 0
2 2 4
0 3 0
0 0 1
10 2
2 2 0
0 2 0
0 1 1
0 1 0
1 0 0
0 2 1
1 2 1
2 1 1
1 0 1
1 1 1
10 2
0 0 2
2 2 0
2 0 3
0 0 1
3 2 0
2 0 2
2 3 3
0 3 0
2 3 2
3 1 1
10 9
3 1 2
4 1 0
2 0 0
0 5 3
5 2 2
0 4 1
1 2 0
5 2 1
4 0 5
0 5 1
10 9
2 4 5
4 3 0
2 5 1
2 5 3
0 0 4
5 0 1
2 1 0
0 5 3
5 1 5
4 1 4
10 8
1 0 2
2 1 1
1 2 2
0 1 1
1 1 0
0 1 0
2 0 0
1 0 1
2 1 2
1 2 1
10 8
1 5 0
2 4 4
2 1 1
2 3 3
2 4 3
3 5 3
2 2 1
0 0 1
5 0 1
3 5 0
10 3
2 0 0
2 1 1
2 2 1
2 1 2
1 0 2
1 2 2
1 1 1
1 0 0
0 0 0
2 0 2
10 4
2 3 2
1 1 0
3 2 3
0 3 3
0 3 0
1 3 0
1 3 1
2 3 3
3 1 2
2 1 3
10 3
1 2 1
2 2 1
2 2 0
2 0 2
2 1 0
2 0 0
2 0 1
1 1 0
1 0 0
1 2 0
10 2
3 1 0
1 1 1
1 1 3
0 3 1
2 1 3
1 3 3
3 3 0
3 0 1
3 2 1
1 3 1
10 2
2 1 3
3 3 3
3 2 2
0 4 1
4 3 1
3 3 1
3 3 4
4 1 0
2 0 1
4 1 4
10 6
2 2 1
4 4 0
3 4 1
3 0 2
1 0 2
3 0 3
1 4 4
2 4 3
3 0 4
4 0 2
10 5
4 2 1
2 1 2
0 1 0
1 4 4
2 4 0
1 4 0
0 0 0
0 0 1
1 3 4
1 3 3
10 9
0 1 0
3 0 1
0 0 2
0 2 0
1 1 1
1 1 3
3 3 2
3 2 2
1 2 0
1 3 0
10 7
1 0 3
3 2 0
1 0 0
2 0 0
3 0 3
3 3 3
1 2 0
1 2 3
0 1 1
0 0 1
10 9
0 0 3
2 1 0
3 2 3
3 4 3
4 0 1
0 0 2
3 3 4
0 1 3
1 3 1
4 3 2
10 6
3 3 2
2 0 1
2 1 1
3 0 1
0 0 0
0 0 1
2 2 0
0 0 3
3 1 3
3 2 3
10 9
0 2 0
3 0 3
1 3 2
2 0 3
0 0 3
3 2 2
3 0 2
3 3 2
0 2 1
1 1 2
10 8
0 1 0
1 0 0
1 0 1
0 2 2
2 0 2
0 1 1
2 2 1
1 1 0
0 0 2
1 2 0
10 3
2 2 5
0 3 5
1 4 1
4 5 4
4 1 0
3 2 0
2 5 4
3 2 5
1 4 3
3 1 1
10 7
0 2 3
1 3 0
4 3 3
4 3 4
0 3 1
1 4 4
3 1 2
3 1 3
2 4 3
3 2 2
10 9
2 3 3
1 0 0
2 3 0
1 3 0
3 2 2
0 3 1
0 3 0
3 2 3
3 1 2
1 2 3
10 5
1 1 1
1 0 2
0 1 2
1 1 0
0 0 2
1 0 0
2 0 1
0 2 2
0 2 1
0 1 0
10 8
2 1 2
1 2 1
2 0 0
0 2 0
2 2 1
0 1 2
0 2 1
0 0 0
1 2 0
0 0 2
10 2
2 0 0
1 0 1
1 1 2
2 2 1
2 2 2
0 2 2
0 1 2
1 1 1
1 2 2
2 0 2
10 7
0 1 1
0 2 1
2 1 1
2 0 0
1 0 2
0 2 0
1 2 0
1 1 1
0 1 0
2 1 2
10 6
4 5 0
0 3 1
2 3 1
4 5 2
4 1 4
3 4 4
1 3 1
3 4 2
2 0 0
3 0 0
10 4
1 0 0
0 1 4
3 4 0
1 1 2
1 1 0
0 4 4
4 0 3
1 2 0
2 1 0
0 2 2
10 5
2 1 0
4 0 3
3 2 2
1 0 3
3 1 0
2 0 1
2 2 0
2 0 3
0 0 1
3 1 2
10 3
2 0 2
2 2 1
1 1 0
1 1 1
2 1 1
2 1 0
2 0 1
1 0 1
1 1 2
2 0 0
10 5
3 1 2
0 3 5
5 3 4
1 2 1
1 0 4
3 4 5
1 4 3
2 1 5
5 5 2
2 2 2
10 6
3 4 3
2 0 0
3 1 5
3 5 3
2 1 1
1 1 5
5 5 3
5 2 5
0 5 4
5 5 5
10 3
3 2 3
1 1 0
3 1 2
1 3 3
0 3 1
0 2 1
0 0 3
1 0 1
1 2 1
1 0 0
10 9
0 2 2
2 2 1
1 0 2
1 1 0
0 0 2
0 1 0
2 0 0
1 2 0
0 2 1
0 2 0
10 5
2 1 3
1 2 1
0 1 0
1 1 1
1 0 2
2 0 0
0 1 2
3 0 2
2 0 2
3 1 3
10 6
1 0 0
0 1 2
2 0 0
2 1 2
0 0 2
2 2 1
1 1 1
1 0 2
2 0 2
1 2 2
10 3
2 0 4
1 4 4
3 3 2
0 0 0
0 1 0
4 4 2
3 4 2
4 3 3
2 3 2
0 4 3
10 9
0 1 0
1 2 1
2 0 2
1 0 1
2 1 0
1 1 1
0 2 2
1 2 0
0 2 1
2 0 1
10 5
3 2 1
0 0 1
2 0 3
0 2 1
1 1 2
0 2 2
2 0 0
0 2 0
1 1 1
3 3 0
10 3
1 2 1
2 1 0
2 0 0
1 0 2
0 0 0
2 1 2
1 0 0
0 2 0
1 2 2
2 2 0
10 6
2 1 3
0 3 1
1 1 2
0 1 3
2 0 0
2 3 1
3 3 2
2 0 3
0 3 0
3 0 0
10 7
2 5 1
3 0 2
4 5 5
5 1 5
0 1 4
4 4 3
4 4 4
3 0 4
1 2 4
1 0 1
10 3
4 4 3
3 2 4
2 0 4
0 2 1
1 1 1
1 2 2
0 4 1
0 3 2
0 4 4
3 0 1
10 7
2 4 4
2 1 1
1 2 4
3 2 0
1 4 3
4 3 1
1 4 0
3 0 2
2 1 2
2 2 3
10 3
5 4 0
4 3 3
2 3 1
4 1 3
5 3 1
3 3 1
5 2 0
0 5 2
1 0 4
1 3 5
10 7
0 0 0
3 3 0
1 0 0
0 3 1
1 3 2
1 0 2
3 0 0
2 0 2
1 3 0
1 1 0
10 8
4 3 2
3 4 1
3 4 0
4 1 0
0 1 3
1 0 2
4 1 2
1 4 2
2 1 0
3 0 3
10 3
2 0 1
0 1 3
3 2 3
0 1 1
1 0 1
0 3 3
1 3 0
3 1 2
1 2 2
2 3 1
10 8
1 1 1
1 2 2
1 2 0
0 1 0
0 2 0
2 0 1
2 0 2
0 0 2
2 1 2
0 1 1
10 7
4 4 2
0 2 1
3 1 0
2 0 0
2 3 1
2 4 4
3 0 0
1 3 0
0 0 1
1 3 2
10 6
0 2 2
0 1 1
2 1 2
0 2 0
2 2 0
1 0 2
2 1 1
0 1 2
2 2 2
0 1 0
10 2
1 2 2
2 1 1
0 1 0
1 0 1
0 1 2
1 2 1
0 0 0
2 2 2
1 0 0
0 0 2
10 8
2 2 0
0 2 0
2 2 2
2 0 1
2 2 1
0 1 2
2 0 0
0 1 0
2 0 2
0 2 2
10 2
0 2 0
1 0 1
1 2 2
1 1 1
2 2 2
2 1 0
2 2 1
1 2 1
0 1 2
0 0 0
10 9
1 2 0
1 0 1
2 0 2
0 1 0
2 2 1
0 0 0
2 0 0
1 1 0
0 2 1
0 2 2
10 7
1 2 3
2 1 2
0 0 2
1 2 2
2 3 0
3 3 2
0 3 0
2 0 1
3 3 0
1 0 3
10 8
2 0 0
0 1 0
1 0 2
2 2 2
1 1 1
1 0 0
1 2 1
1 0 1
2 0 2
2 1 1
10 6
2 2 0
3 3 2
0 0 2
4 0 1
2 4 1
3 4 2
2 1 1
3 0 3
0 0 4
1 2 2
10 2
4 2 3
1 1 0
0 4 3
4 3 2
4 0 3
1 3 0
2 4 3
3 2 1
1 2 4
2 3 3
10 2
0 0 0
2 1 2
0 1 1
2 1 0
0 0 1
2 0 1
0 2 2
2 2 1
1 2 0
2 0 0
10 4
0 3 3
1 3 2
2 1 3
3 0 0
3 3 3
0 2 1
3 2 2
2 3 3
0 2 3
0 0 1
10 6
1 3 1
3 3 2
4 4 5
2 2 5
4 5 2
4 4 2
1 3 2
1 0 5
1 1 4
5 5 2
10 5
0 0 0
0 0 1
1 0 0
0 1 2
0 1 0
0 0 2
1 0 1
1 2 1
1 1 2
0 2 2
10 3
2 3 5
3 1 2
5 1 3
4 4 0
1 4 3
1 3 4
0 3 0
5 2 2
1 4 1
4 5 2
10 2
2 0 4
2 2 0
0 1 1
1 2 4
0 3 3
3 3 2
1 1 3
3 3 3
4 2 0
1 4 3
10 2
1 1 0
1 2 2
0 1 3
3 0 0
2 1 1
3 2 2
0 3 0
2 3 1
2 0 0
2 0 1
10 2
1 2 2
1 0 0
0 2 1
0 0 0
2 2 1
1 0 2
2 0 1
2 0 0
2 2 2
1 1 1
10 5
0 1 2
1 3 3
1 1 0
3 3 3
2 2 0
3 1 2
0 3 3
3 2 3
2 0 3
0 0 3
10 7
0 2 1
1 1 2
0 3 1
0 2 0
1 0 1
2 2 1
2 1 1
2 2 3
1 3 3
0 0 1
10 3
3 3 4
0 3 0
0 4 0
0 4 3
4 1 3
2 4 0
4 5 4
0 3 2
5 1 1
0 1 0
10 8
4 3 1
5 1 4
2 2 1
2 5 2
0 0 4
1 4 0
4 1 2
4 0 5
5 1 3
4 3 5
10 9
2 0 0
2 1 0
1 0 2
0 1 2
1 2 0
1 1 2
0 2 1
0 0 0
0 1 0
2 2 1
10 4
0 3 2
1 0 0
0 0 0
1 3 2
1 0 1
3 3 3
2 3 3
3 1 2
2 0 3
2 1 2
10 9
2 2 1
2 0 2
1 1 2
1 2 2
0 1 2
2 1 0
2 1 2
1 1 1
2 1 1
1 2 0
10 4
1 5 5
2 4 4
5 1 2
5 1 3
0 1 3
4 4 1
3 2 4
0 4 4
5 3 0
4 1 3
10 7
1 4 2
4 4 0
0 3 0
3 2 0
3 1 3
3 3 3
4 0 1
1 1 3
3 1 0
0 4 3
10 8
0 0 4
3 3 4
0 0 1
1 1 4
4 1 2
1 1 3
0 3 1
3 2 4
3 2 0
1 3 3
10 8
3 0 0
2 4 0
1 0 3
4 3 2
0 0 1
3 4 0
1 1 4
2 2 4
4 2 2
0 3 0
10 4
1 3 3
0 4 2
0 0 1
4 5 3
3 5 2
4 0 4
2 0 3
0 0 2
3 2 4
5 3 0
10 2
0 0 2
2 1 3
1 2 3
0 0 3
0 1 1
1 0 3
0 3 1
3 3 1
0 1 3
3 3 0
10 3
4 0 0
3 4 3
4 1 0
2 0 4
3 0 4
1 0 3
0 3 3
4 1 4
2 1 4
0 4 1
10 3
0 4 0
3 2 1
1 3 3
4 5 1
5 1 5
3 0 3
0 5 1
1 3 2
2 1 5
4 5 5
10 8
2 0 1
2 2 2
2 2 1
0 2 2
0 0 0
1 0 2
0 0 1
2 1 1
0 2 0
1 2 2
10 4
2 4 3
0 1 3
0 3 4
0 2 3
1 4 2
1 0 4
2 1 0
2 1 1
2 0 3
3 4 0
10 9
0 1 0
1 1 2
0 2 0
1 1 1
2 1 0
2 0 2
0 1 2
1 0 2
1 2 1
2 0 0
10 8
0 0 1
0 2 1
0 1 1
0 0 2
1 1 2
1 0 1
0 0 0
1 2 0
0 1 0
1 1 1
10 6
2 0 0
1 2 2
2 1 1
0 2 1
2 1 0
1 2 0
0 1 2
1 1 2
2 2 2
2 1 2
10 2
2 2 1
0 0 0
1 2 0
0 1 0
1 1 2
2 0 1
2 2 2
1 0 0
0 1 1
1 2 1
10 9
2 0 0
1 2 2
1 0 4
0 3 0
0 4 1
2 1 3
2 0 2
0 4 2
1 2 4
2 0 1
10 4
0 1 3
1 0 1
2 0 0
1 3 2
0 0 0
3 2 1
0 0 2
2 3 3
1 2 0
2 0 1
10 2
2 1 2
2 2 3
2 3 0
3 0 2
2 1 3
1 1 1
2 0 0
0 3 0
3 0 3
0 2 3
10 4
0 1 1
2 0 1
3 0 3
2 3 3
3 2 1
0 0 1
3 1 2
3 2 2
0 1 2
1 3 0
10 9
1 1 1
2 1 4
4 4 3
2 2 1
3 0 0
4 1 2
2 0 3
0 0 3
4 4 1
1 2 0
10 5
0 3 1
1 1 5
2 5 2
3 1 3
1 2 1
3 3 1
2 2 2
4 3 4
3 3 5
4 2 5
10 6
1 1 2
2 2 2
1 2 1
0 1 0
0 2 1
3 1 2
1 3 3
3 1 3
1 2 2
2 1 1
10 4
0 1 0
1 2 3
0 2 3
0 1 1
2 1 0
3 1 1
0 3 0
2 1 1
1 1 0
3 1 0
10 5
1 3 2
2 3 2
3 1 2
1 1 3
1 0 3
1 0 2
2 2 0
0 0 0
3 3 3
2 1 1
10 2
2 0 2
2 1 2
2 2 2
3 2 3
2 0 3
3 0 1
0 0 1
2 1 1
1 1 3
0 3 0
10 8
1 0 1
1 1 2
2 0 1
0 1 0
2 1 1
1 2 1
2 1 2
1 1 1
0 2 0
0 0 0
10 3
0 3 0
3 1 4
2 0 2
2 3 1
4 4 3
2 0 3
2 2 4
4 4 1
3 1 1
1 2 1
10 9
4 3 5
4 1 4
0 0 0
3 5 2
5 0 1
5 5 0
2 1 2
1 0 1
2 2 2
1 4 4
10 2
1 3 1
3 3 2
3 0 1
3 3 3
2 0 2
2 0 1
1 2 1
2 3 2
1 2 0
1 1 2
10 8
2 4 1
2 1 4
5 1 2
0 5 3
0 5 5
1 4 5
0 2 4
3 2 2
0 0 3
0 1 2
10 8
0 2 0
0 2 1
0 1 2
2 0 2
1 2 1
1 1 0
0 0 1
1 0 2
2 0 0
1 1 2
10 7
3 2 0
3 1 0
3 2 1
2 2 0
2 1 0
2 0 0
1 0 2
3 1 1
2 2 1
0 1 1
10 9
2 2 0
1 2 0
1 1 0
2 2 2
2 0 2
0 1 2
0 1 0
2 2 1
0 1 1
2 1 2
10 4
4 1 3
3 2 3
0 2 4
3 1 2
5 5 3
5 2 5
5 2 1
0 4 0
1 3 4
4 2 4
10 9
2 0 0
2 0 2
0 0 0
0 1 1
1 1 2
0 2 1
1 0 2
1 2 0
2 2 0
0 1 0
10 6
3 1 1
0 1 4
1 0 0
3 3 2
3 4 1
1 2 0
3 1 0
4 0 1
2 4 0
4 1 2
10 5
3 0 0
0 1 3
3 3 1
0 0 1
1 0 3
1 1 3
3 2 3
2 2 2
0 3 1
1 1 1
10 9
0 0 1
3 2 2
2 0 0
0 0 0
3 3 1
3 1 1
0 0 3
1 1 3
3 2 3
1 2 1
10 3
1 2 2
3 3 1
0 2 2
2 3 1
2 0 2
2 3 2
2 0 0
0 0 2
1 1 0
3 2 3
10 3
0 2 0
1 0 0
2 2 1
0 0 2
1 2 2
1 2 1
1 1 0
1 2 0
1 1 2
2 1 2
10 3
2 2 1
2 2 2
1 0 0
2 2 0
0 1 0
2 1 2
0 0 1
1 1 0
0 1 1
0 2 1
10 4
2 3 1
2 2 3
0 1 1
0 2 0
0 1 2
2 3 2
3 2 1
1 3 3
1 3 0
2 3 0
10 9
0 0 0
0 2 2
0 1 0
2 0 3
0 0 1
3 1 1
2 1 0
0 0 2
1 2 3
1 2 1
10 8
0 3 3
0 5 5
2 2 1
1 3 3
0 1 4
4 0 0
4 0 2
2 3 2
2 4 1
2 4 5
10 9
2 4 0
4 3 4
2 2 0
2 3 4
3 4 3
2 3 3
2 3 2
2 1 4
2 4 2
1 2 1
10 4
3 5 5
2 1 4
3 0 3
0 4 0
0 5 3
4 1 5
5 1 1
0 3 5
5 2 1
0 3 1
10 2
2 1 0
0 1 1
2 0 0
1 1 1
2 1 1
2 2 0
1 0 0
2 2 1
2 0 1
2 1 2
10 8
1 0 1
1 1 0
2 2 0
1 1 2
0 0 1
2 0 0
2 2 2
1 2 1
0 0 2
2 2 1
10 5
3 0 1
3 1 3
0 0 3
1 1 1
1 3 3
2 0 0
1 0 3
2 2 2
0 0 1
2 1 1
10 5
2 1 0
2 4 1
1 2 1
1 3 0
3 3 3
3 0 3
1 3 4
1 3 3
2 2 4
1 4 2
10 5
0 1 4
3 5 0
4 2 4
0 2 5
4 4 5
3 1 2
5 3 3
4 2 1
3 5 5
3 3 4
10 5
3 5 3
3 3 1
0 0 2
2 3 5
2 1 3
5 4 0
0 4 0
3 2 1
3 4 2
2 4 3
10 4
2 2 3
3 3 2
0 2 2
1 1 2
0 0 0
1 3 1
3 1 2
2 1 2
1 2 3
2 1 0
10 6
0 0 2
0 2 2
2 1 1
0 1 1
1 2 2
0 1 2
1 1 1
2 0 1
2 0 2
2 2 2
10 9
3 3 3
2 3 3
4 4 4
4 1 0
4 0 4
1 3 3
2 0 3
0 0 1
3 3 1
1 1 0
10 5
0 1 2
3 1 4
2 4 4
0 3 4
4 0 2
4 2 3
3 4 4
2 3 0
0 0 0
0 1 3
10 8
3 3 0
2 4 2
0 0 4
4 4 3
2 2 3
3 4 3
4 0 2
4 4 4
1 3 2
3 4 0
10 6
2 2 0
0 1 0
0 1 1
1 2 1
2 0 1
0 2 0
2 1 2
0 1 2
0 0 0
2 2 2
10 3
1 1 1
1 0 1
1 2 1
0 2 1
1 1 2
0 0 0
0 1 1
2 2 0
2 0 2
1 2 2
10 7
1 5 3
5 4 0
2 5 3
1 0 0
5 2 0
4 1 2
1 4 3
5 4 5
5 3 5
0 1 1
10 9
5 4 4
5 1 5
4 5 4
5 5 0
3 1 5
1 1 3
2 1 1
3 4 4
3 0 1
4 5 3
10 6
3 3 2
1 0 1
0 4 3
4 1 3
3 3 1
3 2 1
0 1 1
0 0 0
4 4 3
2 3 3
10 2
3 1 3
3 4 0
0 1 0
1 2 2
4 0 4
3 0 4
1 1 0
0 3 2
2 0 2
2 3 1
10 3
2 1 1
2 0 0
2 1 2
1 1 1
0 2 1
2 2 0
1 1 0
2 0 2
1 2 1
0 0 0
10 5
1 1 3
3 3 1
1 0 2
1 0 0
0 2 1
1 2 2
3 0 0
1 1 2
2 1 2
0 1 2
10 4
2 3 1
1 1 0
2 2 3
1 3 0
1 2 1
2 0 0
1 0 2
0 2 1
1 2 3
2 1 1
10 5
2 2 0
2 1 2
0 2 0
1 2 1
2 0 2
1 0 1
1 1 2
0 2 1
0 1 2
2 0 1
10 8
4 4 4
1 3 2
2 4 0
0 1 3
5 1 2
5 5 3
4 5 1
4 0 3
2 3 3
1 2 5
10 3
1 1 0
3 3 0
0 2 3
1 0 0
2 0 0
3 1 3
1 0 3
0 0 1
0 1 2
3 3 1
10 2
0 2 1
0 1 1
1 1 0
2 0 2
0 0 2
0 1 0
2 1 0
2 2 0
0 1 2
2 2 1
10 3
0 2 0
4 3 0
2 2 5
0 3 5
4 3 4
0 5 2
4 4 0
0 1 0
2 3 5
2 2 4
10 8
2 0 2
2 4 0
4 4 1
0 1 1
2 0 1
4 4 3
0 3 2
4 0 0
0 4 2
0 3 4
10 7
1 2 2
2 1 1
0 2 2
2 1 0
0 0 0
1 0 0
1 0 2
2 2 2
0 0 2
1 1 2
10 7
1 3 1
0 3 2
3 2 0
3 2 2
3 3 2
1 3 2
1 2 0
2 3 2
0 1 2
2 0 2
10 5
4 4 5
2 4 4
0 2 4
4 3 0
2 2 0
3 4 4
0 1 5
1 5 5
2 3 3
0 4 3
10 5
1 0 0
0 2 3
4 0 5
0 4 5
3 2 4
2 2 2
3 3 3
2 1 0
0 5 1
1 2 2
10 3
2 2 2
0 0 3
2 3 1
1 0 2
2 3 0
2 0 0
1 1 0
0 0 2
3 1 1
0 3 2
10 4
3 3 4
5 1 3
1 1 4
3 2 1
2 0 3
3 1 3
1 2 5
5 0 4
5 3 0
0 0 4
10 2
4 2 1
0 3 2
3 0 4
1 4 4
3 4 4
4 4 3
2 0 1
3 1 0
2 1 2
4 3 0
10 4
2 5 4
1 2 5
5 0 4
0 3 1
4 1 3
4 3 3
0 0 4
5 2 2
1 5 1
4 3 5
10 8
0 1 0
1 0 1
0 2 0
0 2 2
2 1 0
1 1 0
2 0 1
1 0 0
0 2 1
1 2 2
10 5
4 4 2
4 0 5
2 2 1
4 3 3
3 0 2
4 2 4
4 4 1
4 5 2
3 2 2
5 1 0
10 2
4 1 0
5 3 5
3 3 5
5 1 4
5 2 2
2 0 5
0 0 3
2 3 0
1 0 0
4 0 1
10 3
4 3 2
2 4 4
3 0 0
0 4 2
3 2 4
3 0 2
0 1 2
2 4 0
4 0 4
4 0 3
10 3
0 2 2
3 1 1
2 0 2
3 3 2
1 1 0
2 2 2
2 3 0
2 3 2
2 1 1
3 0 0
10 7
4 3 4
0 2 1
3 0 4
2 1 1
3 2 1
2 4 1
0 2 3
4 2 0
4 2 2
1 1 3
10 6
1 1 1
0 1 0
1 2 1
1 0 0
1 2 0
1 0 1
0 2 0
2 2 2
2 0 0
0 0 0
10 7
0 1 2
2 0 2
2 1 2
1 2 0
2 1 1
1 0 0
0 0 1
1 1 1
2 2 2
1 1 2
10 2
2 3 3
2 0 2
1 3 2
2 2 2
0 3 3
3 2 1
2 3 2
0 1 2
1 0 3
2 1 1
10 9
3 0 3
2 3 3
3 0 2
1 1 1
1 2 3
0 1 1
0 1 2
2 3 1
2 3 0
1 0 1
10 9
1 1 1
0 1 4
3 4 3
2 3 2
4 1 4
2 2 1
4 4 3
1 4 2
4 4 2
2 2 4
10 6
1 0 1
1 0 2
0 3 3
1 3 1
3 1 0
2 1 2
3 1 3
3 1 1
1 2 1
1 1 3
10 8
3 1 5
1 3 5
1 1 1
4 1 4
2 1 1
1 0 0
1 0 3
2 3 4
4 1 5
3 2 1
10 2
2 5 3
2 3 2
0 3 2
2 1 5
5 5 0
2 5 5
4 3 4
3 5 5
3 5 4
2 1 0
10 7
1 1 0
1 2 0
0 0 0
2 1 0
1 1 2
1 0 2
0 0 2
2 2 1
0 2 0
2 1 1
10 4
0 4 4
4 1 0
3 0 1
4 2 3
1 1 1
3 2 2
4 4 2
4 3 2
1 4 1
3 3 4
10 8
4 0 2
3 1 2
3 1 3
4 3 4
0 3 2
0 2 0
2 5 4
1 0 1
5 2 1
5 2 2
10 6
2 1 0
0 2 2
2 0 2
1 0 0
2 0 1
2 2 0
1 1 1
1 0 2
2 2 1
1 2 0
10 9
4 2 3
3 4 1
2 0 1
1 2 3
3 1 0
3 0 0
4 1 1
4 4 4
2 3 3
3 4 0
10 3
2 3 2
1 0 1
0 3 2
0 0 0
1 3 3
0 0 2
1 3 0
2 0 2
0 0 1
1 2 2
10 6
5 1 5
0 0 3
3 4 3
1 1 3
5 3 0
2 4 2
2 5 1
0 2 3
0 4 5
1 2 1
10 2
3 0 1
0 0 3
0 1 1
2 0 1
2 1 0
3 0 3
3 1 0
0 2 0
1 1 2
1 3 0
10 3
2 1 2
0 1 4
3 2 0
4 0 4
1 3 3
4 2 0
3 0 3
4 2 4
3 1 1
1 1 1
10 6
1 2 0
0 0 2
0 2 1
1 2 2
0 0 1
2 2 0
2 2 2
1 0 1
0 2 2
1 1 1
10 7
2 0 2
1 3 1
0 2 2
1 5 1
3 3 1
3 2 0
0 3 4
0 0 2
1 1 3
2 4 3
10 4
1 0 1
2 1 0
2 2 2
1 1 2
0 0 2
0 1 0
1 1 1
0 1 1
1 0 0
0 1 2
10 5
0 1 2
0 4 1
4 1 0
2 4 2
4 1 4
3 1 4
0 2 2
1 1 2
4 4 2
4 0 2
10 9
1 1 0
2 0 3
3 2 3
3 1 1
3 0 3
0 2 0
0 1 1
3 0 2
1 3 3
1 0 3
10 9
2 2 1
0 2 1
1 0 1
1 1 2
1 2 1
2 2 2
2 1 2
1 0 0
1 1 0
0 0 1
10 6
2 2 0
0 0 2
1 0 0
2 0 1
1 1 1
2 0 2
0 2 0
1 2 1
2 2 2
0 2 1
10 5
2 1 2
1 2 1
1 0 2
2 2 0
0 2 3
2 0 3
1 3 0
3 3 2
1 0 3
1 2 2
10 2
3 0 1
0 0 1
3 0 3
0 1 1
1 1 2
1 0 3
0 0 0
2 1 3
1 3 0
1 3 2
10 9
0 0 2
4 5 4
0 4 4
0 3 3
0 5 3
5 3 1
4 4 2
1 2 4
5 3 5
4 3 1
10 5
1 1 2
0 2 0
1 0 2
0 0 1
1 0 0
0 2 1
1 2 0
1 0 1
1 1 0
0 1 0
10 3
0 4 3
1 2 2
3 1 0
3 5 1
0 3 0
2 1 3
2 3 4
5 4 0
0 3 4
0 2 1
10 5
2 1 1
2 2 3
4 3 1
1 1 4
2 2 1
2 1 2
4 1 2
1 2 2
0 1 4
3 2 1
10 3
1 1 2
1 2 2
2 0 0
2 2 0
2 2 1
2 1 0
1 2 1
0 1 0
0 1 1
2 0 2
10 9
1 1 2
2 1 1
2 0 2
1 2 1
0 0 2
0 1 0
0 2 2
1 0 1
0 0 0
1 2 0
10 9
1 2 0
0 0 0
2 2 3
0 2 3
2 0 1
0 0 3
2 2 2
1 3 1
3 2 3
3 2 1
10 6
1 4 4
4 4 1
4 0 2
3 3 0
2 3 3
2 4 3
3 4 1
1 2 0
3 0 0
3 0 3
10 4
2 0 0
2 2 1
3 0 3
3 2 3
3 2 4
3 3 2
0 0 3
4 1 0
2 0 3
4 3 3
10 2
4 2 3
3 2 3
5 3 2
2 5 5
2 1 2
3 5 4
3 4 4
3 3 5
2 1 5
2 0 1
10 6
3 1 3
3 3 2
4 2 3
2 1 4
0 4 1
1 4 3
3 4 3
1 1 1
2 2 2
2 4 3
10 9
1 4 0
3 0 1
2 0 3
0 3 0
0 0 3
0 2 2
2 1 4
1 1 2
2 2 2
4 3 4
10 6
0 1 4
4 2 2
4 5 2
2 1 5
1 3 3
3 4 0
4 3 2
4 0 1
5 5 0
1 2 0
10 9
1 1 1
1 1 2
0 2 0
1 2 0
0 2 2
0 1 2
2 0 1
0 0 2
1 0 0
2 1 2
10 6
3 1 3
2 3 4
2 0 3
0 3 4
4 2 3
3 2 2
4 0 3
4 1 2
1 1 1
0 4 0
10 9
3 2 2
2 3 0
2 0 3
2 0 0
0 1 2
2 2 1
1 2 3
2 3 3
0 0 1
2 2 2
10 8
0 1 3
5 5 5
2 0 0
2 1 0
1 1 1
1 2 2
3 2 1
4 5 3
4 2 3
2 3 0
10 2
3 1 5
3 5 1
5 3 5
3 0 1
5 0 5
1 0 5
3 2 2
1 3 0
2 5 2
2 3 4
10 8
2 0 1
0 1 0
2 1 1
1 1 2
1 1 0
0 1 1
1 0 0
2 2 2
0 2 2
2 1 0
10 4
3 3 2
0 2 0
1 0 2
3 0 1
2 0 3
3 2 1
1 2 0
3 3 3
2 2 1
0 1 2
10 4
2 2 2
0 1 0
2 1 1
2 1 0
1 2 1
2 1 2
2 2 0
1 0 0
0 0 1
0 1 1
10 5
4 3 1
2 1 0
3 0 4
2 3 4
1 4 4
3 4 1
0 3 3
3 3 3
1 4 3
1 1 1
10 7
0 1 0
0 0 1
0 1 1
0 0 2
0 2 0
1 1 0
2 2 0
2 2 2
2 2 1
1 0 0
10 6
2 0 3
1 0 2
0 1 1
0 0 2
1 3 2
1 1 3
1 1 0
0 2 3
0 0 0
3 3 0
10 2
3 1 1
0 1 3
3 2 3
2 3 2
3 0 0
0 3 2
3 2 1
1 1 1
1 3 2
2 0 2
10 4
3 3 2
2 4 0
2 4 4
0 3 1
1 4 4
2 1 1
2 0 3
0 4 3
2 1 0
3 1 0
10 5
3 1 1
2 3 2
3 2 1
0 1 2
3 0 0
0 0 1
1 3 1
3 3 2
3 3 0
2 3 3
10 7
2 1 2
1 2 0
2 0 0
0 2 2
2 0 2
1 0 0
0 1 0
0 1 1
0 0 2
2 2 2
10 6
2 1 3
3 2 1
2 0 2
0 3 0
1 1 0
0 1 2
1 3 2
3 0 2
1 3 3
1 2 3
10 2
1 0 2
2 0 2
2 2 0
1 2 0
0 0 0
0 1 1
1 2 2
2 2 2
0 2 2
2 0 1
10 7
5 0 1
4 4 2
5 2 3
4 5 3
4 3 3
0 4 0
3 3 2
5 0 3
4 2 4
2 0 5
10 2
1 3 3
1 2 2
2 2 2
0 3 1
3 2 3
2 2 3
3 2 0
0 3 2
0 1 0
0 2 0
10 5
2 2 1
0 1 1
2 2 0
1 1 2
0 2 1
1 0 2
2 0 1
2 1 0
1 0 0
2 0 2
10 7
1 0 1
1 1 1
1 2 1
1 1 2
2 1 1
0 1 2
2 2 1
2 2 0
0 2 1
2 1 2
10 3
3 3 0
0 2 0
0 0 3
1 3 3
1 1 1
1 0 2
2 0 1
1 0 3
2 2 3
3 3 2
10 7
4 1 0
5 1 1
1 4 1
4 1 1
3 2 2
1 4 0
3 5 5
5 0 0
4 3 4
2 0 5
10 4
3 0 0
3 3 3
2 1 1
1 1 3
3 1 2
3 1 3
3 3 2
0 1 1
1 2 1
2 0 0
10 5
3 4 2
1 5 3
1 1 0
3 2 1
4 2 1
2 5 3
4 5 4
0 3 2
2 3 5
2 4 3
10 4
3 3 4
5 5 4
0 4 5
1 5 5
0 0 0
0 2 3
3 0 3
3 5 5
2 0 1
0 5 5
10 5
1 1 0
1 3 2
0 1 0
2 0 3
0 2 3
3 1 1
1 0 0
0 3 1
1 3 0
0 2 1
10 9
1 2 3
1 0 1
0 3 0
3 2 2
1 2 1
2 3 1
3 0 0
3 2 3
1 3 0
1 2 0
10 5
2 2 1
2 2 0
2 1 2
0 1 0
1 0 1
0 0 0
1 0 2
0 0 1
0 2 2
0 2 1
10 9
4 0 4
4 1 1
3 0 1
3 1 4
4 4 3
4 5 2
1 5 1
3 2 1
5 3 2
5 4 5
10 7
2 2 0
0 1 0
2 2 2
0 2 1
0 0 1
1 1 2
0 2 0
0 0 2
1 0 2
2 2 1
10 9
2 0 0
0 2 2
1 2 2
0 2 1
0 1 1
0 1 2
0 0 1
1 1 0
1 1 1
2 1 0
10 8
2 0 0
3 2 0
0 4 2
1 0 2
3 2 1
4 0 0
1 0 0
1 4 0
4 2 1
3 2 3
10 8
1 1 4
3 3 2
0 0 3
2 0 1
0 4 3
2 4 4
2 1 1
4 0 3
1 2 2
4 4 4
10 2
4 2 0
4 4 2
4 1 4
1 1 5
3 0 5
5 5 4
1 0 1
0 1 1
3 0 2
5 5 2
10 9
0 4 4
1 0 3
2 1 2
1 3 0
4 0 0
0 0 3
4 3 4
2 0 0
0 1 1
0 0 4
10 2
1 0 2
0 1 2
0 2 2
0 0 3
2 3 4
1 0 1
4 4 1
4 2 0
3 0 2
1 1 1
10 2
3 3 0
3 4 2
1 5 0
1 2 0
5 5 1
5 3 4
1 5 4
3 3 3
0 2 4
3 2 0
10 6
1 2 4
4 0 1
2 2 4
1 4 2
0 0 4
3 3 2
2 1 2
2 4 0
1 3 1
2 2 2
10 8
1 4 4
5 5 1
4 2 4
4 3 2
5 0 2
0 5 0
5 0 3
2 2 0
2 1 3
1 2 3
10 2
0 1 2
3 2 3
3 1 0
1 0 2
1 4 4
4 1 3
0 0 1
3 0 4
0 2 1
3 2 0
10 2
3 0 2
3 0 1
3 1 2
3 2 0
1 0 2
0 0 0
2 0 3
0 1 2
2 2 1
2 0 2
10 3
0 1 1
2 2 0
2 1 0
0 1 2
1 0 2
2 1 1
0 0 1
2 2 1
2 2 2
0 2 0
10 4
1 1 2
0 0 1
1 1 0
1 0 1
2 0 1
2 1 1
2 0 0
1 2 0
0 1 2
0 2 2
10 9
1 2 1
1 1 2
0 0 0
1 0 0
0 2 1
2 1 0
0 0 2
0 1 0
2 2 0
2 0 2
10 9
0 2 0
1 3 0
3 3 3
1 3 2
1 1 2
2 5 5
4 0 0
2 1 2
4 4 0
3 2 1
10 3
3 5 2
1 0 3
3 4 4
2 2 5
1 2 2
3 1 0
5 5 5
3 2 0
5 4 1
1 0 4
10 6
2 1 3
4 1 0
0 0 3
2 4 3
2 4 2
2 4 0
2 0 0
1 4 4
4 4 2
1 2 1
10 7
2 2 0
0 3 2
1 0 2
2 1 0
2 0 0
0 0 2
0 1 1
0 2 1
0 3 0
1 3 3
10 4
2 1 2
1 1 2
2 1 1
0 2 2
1 2 1
1 0 1
0 0 2
1 2 0
2 0 0
1 1 1
10 6
1 3 4
1 2 1
0 2 1
4 0 1
3 2 1
3 3 0
3 4 2
1 0 1
1 1 2
1 2 4
10 8
2 0 2
1 0 0
0 0 0
1 1 0
2 2 1
1 2 1
0 2 1
2 2 2
2 0 1
0 0 2
10 9
3 2 3
1 0 3
0 1 0
2 1 2
3 0 2
2 2 1
2 3 1
1 3 2
0 0 2
1 3 0
10 4
1 2 1
2 2 2
0 2 2
1 0 1
2 1 0
0 1 0
2 1 1
0 2 0
2 0 0
0 0 2
10 8
2 1 1
1 0 0
0 3 3
0 2 2
0 2 0
2 1 3
3 0 1
2 1 2
2 3 1
1 3 2
10 9
0 0 4
0 4 3
1 5 5
5 2 0
2 1 0
3 2 0
3 3 5
1 2 2
3 2 5
3 1 3
10 9
5 1 1
4 0 0
2 4 4
1 3 5
2 1 3
0 2 0
0 3 0
4 2 2
4 4 0
0 1 2
10 3
0 2 2
3 1 4
3 3 4
2 0 4
1 0 3
3 3 0
0 0 2
0 2 4
4 2 4
2 2 3
10 6
0 4 0
4 1 1
0 0 0
1 0 4
2 4 4
0 4 3
1 4 0
4 4 3
1 3 2
1 3 1
10 8
2 1 1
5 1 3
1 1 4
0 3 1
0 2 0
5 5 1
3 2 2
2 1 2
2 2 2
3 5 5
10 3
0 0 3
3 3 3
1 3 2
0 1 1
1 2 1
3 0 1
2 2 3
1 0 2
3 0 3
1 2 3
10 9
0 0 0
2 3 3
2 1 1
1 2 3
2 3 2
1 0 3
2 1 3
2 1 2
0 1 3
3 0 1
10 2
1 0 1
2 2 4
0 3 0
4 3 1
4 0 0
2 3 0
2 0 2
4 4 1
0 4 1
0 2 3
10 8
4 3 1
0 3 1
2 2 2
3 1 1
2 4 1
3 1 4
2 3 3
2 1 4
2 3 0
2 0 1
10 3
2 1 2
3 1 0
1 1 1
0 0 2
0 0 0
3 3 0
2 2 1
0 3 2
1 2 2
2 0 2
10 9
1 1 4
3 4 2
3 3 2
1 3 2
1 2 4
1 1 3
2 1 4
2 2 0
2 0 4
2 3 4
10 6
1 3 0
1 2 0
2 2 3
2 1 0
0 1 1
0 2 0
2 3 0
0 0 3
0 0 1
3 3 0
10 4
0 0 0
2 0 2
3 1 0
2 0 1
3 1 3
3 2 0
2 1 0
3 0 2
0 3 2
1 2 3
10 3
1 2 0
2 2 0
2 1 2
1 0 1
1 0 2
0 0 0
2 1 0
2 2 2
0 0 1
1 2 2
10 7
0 2 2
0 1 2
1 0 2
0 0 0
1 2 1
2 2 2
2 1 2
2 1 1
2 2 1
2 2 0
10 8
2 0 0
1 1 1
2 1 2
1 1 0
2 1 0
2 2 1
1 2 2
2 0 2
2 1 1
2 2 2
10 5
3 2 2
0 3 2
0 3 0
3 2 3
2 0 2
2 1 2
3 0 2
0 0 2
3 1 1
1 3 1
10 6
1 0 0
2 0 1
1 0 2
0 0 3
0 0 2
2 0 2
0 3 2
1 1 2
0 1 0
3 2 0
10 9
0 0 2
0 0 0
1 2 0
2 0 1
1 1 2
1 0 2
1 0 0
0 2 1
2 0 2
2 1 1
10 7
1 4 3
1 4 0
1 3 1
3 3 1
3 5 2
2 2 3
2 0 1
2 0 3
5 0 1
0 0 1
10 3
2 2 2
1 1 1
2 1 1
2 0 2
0 2 2
2 0 0
1 0 1
0 1 1
0 0 1
0 1 2
10 7
3 5 3
3 3 0
5 5 2
1 4 1
2 4 3
5 2 1
0 1 2
5 4 1
2 3 2
1 0 0
10 9
2 3 2
3 2 3
2 2 0
3 1 2
1 2 1
1 2 0
1 3 3
2 1 0
0 0 1
3 1 3
10 5
1 1 2
2 1 2
0 0 1
2 1 0
1 0 1
0 1 2
1 2 1
2 0 0
2 2 0
1 2 2
10 5
1 1 1
3 2 3
4 2 3
2 3 4
4 2 4
0 3 0
0 4 4
0 0 0
3 1 1
4 1 3
10 9
1 4 2
4 0 4
2 4 2
0 2 2
1 1 2
3 2 1
4 3 2
0 4 0
0 1 4
2 4 1
10 6
0 2 3
0 1 4
0 0 3
3 1 2
2 0 0
4 3 1
4 2 1
3 0 2
0 1 1
3 4 3
10 5
1 2 0
0 0 2
0 0 1
1 1 2
2 1 0
2 0 2
1 1 1
1 2 1
0 2 0
1 0 1
10 5
1 0 0
2 2 3
1 2 3
1 2 2
3 3 1
2 0 3
1 3 3
2 0 2
3 1 2
1 1 3
10 4
1 3 1
0 0 3
0 2 3
2 3 0
3 3 0
2 3 1
0 1 2
2 1 0
1 3 0
0 3 3
10 2
0 5 3
1 2 1
4 4 4
4 2 1
4 1 0
0 3 2
2 3 3
5 5 1
0 1 2
3 2 5
10 5
2 2 0
2 2 2
3 1 1
0 2 0
1 1 0
0 2 1
0 3 3
3 3 0
3 3 1
1 1 3
10 4
0 0 4
5 5 1
1 4 0
2 0 3
4 0 0
2 0 1
4 0 4
2 0 4
5 0 2
2 4 4
10 4
2 3 4
0 4 4
3 4 2
1 4 0
0 3 0
1 0 4
3 1 3
2 0 2
0 2 0
3 0 4
10 3
0 0 0
1 2 0
1 1 2
0 2 2
2 1 2
1 0 2
2 1 0
1 0 0
2 0 2
0 1 1
10 4
0 0 3
0 3 3
2 2 0
0 3 0
1 0 1
2 1 2
2 2 2
0 2 3
0 3 2
0 0 2
10 3
1 0 1
1 0 2
3 2 3
3 1 1
3 0 2
3 3 1
0 0 0
0 3 3
0 3 1
1 3 3
10 7
0 2 1
1 2 0
0 0 0
0 2 2
2 2 1
0 1 1
2 0 2
1 1 1
1 0 0
1 0 2
10 9
0 2 1
3 0 0
3 0 1
3 1 3
0 3 1
1 2 2
1 3 1
3 0 2
3 2 3
2 0 0
10 3
1 2 0
1 0 0
0 2 0
0 2 2
0 2 1
1 0 1
0 0 1
0 0 0
2 1 0
2 2 2
10 2
1 2 0
2 1 0
3 2 3
0 2 3
2 1 3
0 1 3
2 3 1
3 3 3
2 1 1
3 3 1
10 3
1 3 2
0 2 3
4 3 2
2 4 2
4 4 0
4 0 4
3 1 1
1 4 0
4 1 2
4 1 3
10 7
3 0 1
3 3 0
2 2 0
1 3 0
3 1 2
0 0 2
3 2 0
0 1 0
2 1 0
1 1 2
10 3
0 2 3
2 1 0
0 1 3
2 0 3
2 3 1
3 3 2
1 0 0
0 3 3
1 3 2
2 3 0
10 2
1 1 2
1 1 0
2 0 1
0 0 0
0 2 2
0 0 1
2 1 1
2 1 0
2 2 2
2 2 1
10 8
0 0 2
0 0 3
4 4 0
4 5 4
1 0 5
2 5 4
5 3 5
4 4 1
3 4 4
3 3 2
10 5
0 1 0
4 1 2
4 3 3
4 4 0
1 4 3
2 3 4
0 2 0
1 4 1
2 3 1
0 4 3
10 2
1 1 2
2 0 2
2 2 1
0 2 1
2 0 0
1 1 1
0 1 0
1 1 0
2 2 0
1 2 1
10 7
3 3 4
2 0 4
0 4 2
1 0 4
4 4 2
0 2 3
1 4 4
1 2 3
4 4 0
2 4 2
10 2
4 1 1
0 1 2
2 0 2
4 0 3
4 0 2
4 0 4
2 2 0
0 0 3
2 3 4
1 3 3
10 9
0 2 2
1 1 2
2 0 2
2 0 1
0 0 1
1 0 2
2 1 2
0 1 0
0 2 1
2 2 2
10 4
2 3 2
4 0 3
0 0 1
3 0 4
0 4 1
1 4 3
1 3 4
1 1 0
2 4 3
4 2 3
10 2
1 2 1
3 0 1
0 4 1
1 3 2
3 4 3
4 1 2
2 2 0
0 2 1
2 2 2
0 2 0
10 9
0 4 1
1 3 1
3 2 0
3 4 3
1 0 0
1 2 0
3 2 4
0 0 3
0 0 1
1 4 3
10 9
0 1 1
3 0 0
0 3 3
3 1 3
3 2 0
3 3 2
2 3 3
1 1 3
2 1 1
2 3 2
10 8
0 0 2
1 2 1
0 1 1
0 2 1
1 0 0
0 0 1
2 2 1
0 0 0
2 1 1
2 2 2
10 7
3 0 3
1 2 3
0 0 3
0 0 2
1 2 1
1 2 0
0 3 1
2 1 1
2 0 1
0 2 3
10 4
4 4 1
4 4 4
4 4 2
3 4 0
0 4 1
4 0 4
2 3 4
0 0 4
4 1 4
0 1 3
10 9
3 4 1
0 0 1
3 3 4
0 3 1
2 0 1
0 2 4
3 1 0
2 2 3
3 4 4
4 3 4
10 3
2 1 1
0 0 1
4 1 0
4 2 3
0 4 4
1 3 4
2 3 3
2 1 3
2 2 3
4 1 4
10 2
1 3 1
1 0 1
1 2 1
3 2 0
0 2 1
1 1 2
3 3 1
0 3 2
3 0 2
3 1 2
10 2
1 0 4
2 4 5
3 0 0
3 1 4
3 5 5
3 3 1
5 0 4
3 5 4
1 0 5
4 5 2
10 4
5 2 1
2 5 1
5 2 4
3 0 1
1 4 4
1 3 1
0 1 0
0 2 5
4 5 3
0 4 3
10 5
2 2 2
3 2 1
3 0 2
0 1 1
0 2 2
2 3 2
1 3 3
2 1 2
1 0 0
0 2 3
10 8
1 2 1
2 0 2
1 2 2
0 0 2
0 2 1
1 0 2
0 1 0
0 1 1
2 1 1
2 2 0
10 5
2 2 1
3 2 4
5 5 0
1 0 2
0 0 3
4 5 4
4 1 4
2 1 2
2 5 2
0 2 2
10 7
4 2 2
1 1 1
4 3 1
3 4 1
3 3 4
0 3 3
3 2 2
0 3 1
0 2 1
0 3 0
10 2
3 2 4
1 3 0
4 2 4
3 3 4
2 0 2
0 4 1
3 0 3
4 4 4
4 2 2
2 1 2
10 5
3 1 1
5 2 1
1 5 0
0 4 3
1 0 5
4 4 4
1 1 3
5 5 0
4 2 3
1 2 1
10 3
3 1 2
2 3 4
3 1 4
3 0 4
0 2 2
4 2 3
4 0 2
3 0 0
1 2 1
2 4 2
10 4
2 1 3
2 0 1
0 0 0
0 4 2
4 2 0
3 2 3
0 2 0
1 1 4
2 0 4
2 2 1
10 3
0 1 2
1 2 2
0 0 1
1 0 1
1 2 1
0 2 2
1 0 2
2 0 0
0 2 0
1 2 0
10 9
2 2 2
0 2 1
2 2 1
2 0 0
1 2 2
2 0 2
1 0 0
0 0 2
0 1 2
0 1 0
10 8
3 2 0
1 2 1
2 0 0
3 2 2
0 1 0
1 3 1
0 3 1
3 0 2
0 0 0
2 0 1
10 9
0 2 0
2 3 4
5 5 1
2 3 3
1 1 4
1 1 0
0 4 1
3 3 3
5 3 2
3 1 5
10 6
0 2 0
0 2 1
0 0 0
2 0 1
2 0 2
2 0 0
1 2 0
0 0 1
0 1 2
0 2 2
10 2
3 1 0
1 1 1
0 1 3
3 0 2
0 2 3
3 3 3
3 3 1
1 3 3
2 3 0
3 2 1
10 9
2 2 3
0 0 1
3 0 0
3 1 3
3 3 2
0 1 0
2 3 3
0 2 2
2 0 1
0 2 0
10 6
2 0 1
0 4 3
5 3 0
1 4 3
0 3 5
1 1 4
2 4 3
5 0 3
0 5 4
1 2 5
10 8
1 2 1
2 0 2
3 3 2
1 3 3
0 0 2
0 0 3
2 0 3
3 0 3
1 1 3
3 1 3
10 3
2 2 1
1 2 0
0 1 2
0 1 0
0 2 2
1 1 0
1 1 2
2 1 0
0 1 1
0 0 0
10 8
1 3 0
0 0 2
1 2 0
0 2 0
0 0 0
0 1 0
1 1 2
0 3 2
3 1 3
2 3 0
10 2
1 2 0
0 3 3
1 0 3
2 3 0
2 3 3
1 0 0
1 1 2
1 2 3
3 1 0
0 0 1
10 9
3 1 1
1 4 0
2 3 1
2 1 1
4 1 1
3 0 4
4 0 0
4 1 4
1 2 3
1 2 2
10 4
3 0 1
2 1 3
3 3 0
2 0 2
2 1 0
3 3 1
2 3 1
3 1 3
0 1 0
0 0 3
10 5
2 5 3
5 1 3
4 1 1
3 0 3
0 4 0
1 5 4
1 1 1
1 1 3
1 5 2
4 4 4
10 8
0 2 2
0 0 2
0 1 1
0 2 1
1 2 2
2 1 1
1 0 1
1 0 2
1 1 1
2 0 0
10 9
0 3 2
1 1 4
3 3 1
3 2 1
2 0 2
2 0 1
3 0 3
0 3 3
0 4 4
2 3 2
10 7
2 1 4
2 4 3
3 0 1
3 1 1
1 3 1
3 2 0
4 3 2
4 2 3
4 3 4
2 3 1
10 8
5 1 3
3 0 5
0 3 0
2 2 2
2 2 4
1 0 4
2 3 0
1 5 2
1 2 1
4 2 2
10 2
0 2 3
5 4 2
2 1 2
2 3 4
0 4 4
4 5 3
3 2 0
2 2 0
3 5 1
5 5 4
10 9
4 3 1
4 3 4
4 2 1
3 3 2
2 3 4
3 0 2
2 2 3
2 1 1
2 2 1
3 2 3
10 8
4 2 3
2 4 4
0 0 4
1 2 4
4 1 0
4 1 3
1 3 2
4 3 1
1 4 3
2 1 2
10 8
1 2 1
2 1 1
0 1 2
0 0 2
0 1 1
0 1 0
1 0 1
2 2 1
1 1 0
2 0 2
10 5
1 0 0
0 2 2
1 2 0
0 1 1
0 2 0
0 1 2
2 0 2
2 0 0
2 1 0
0 1 0
10 5
0 2 0
3 3 2
0 1 3
0 3 4
3 0 4
1 3 1
2 4 4
3 1 4
1 0 2
0 2 1
10 7
1 2 1
2 0 1
1 0 0
1 2 2
2 0 2
0 1 2
2 0 0
2 2 0
0 1 0
2 2 2
10 7
0 4 2
1 0 1
2 0 3
3 0 2
3 1 0
1 1 2
3 3 1
2 4 1
3 0 1
2 4 4
10 7
0 0 0
2 1 1
0 1 0
0 0 2
0 2 2
1 0 0
2 1 2
2 2 1
2 0 2
1 1 2
10 2
3 1 3
3 1 2
2 1 0
2 1 1
0 1 3
2 2 1
2 3 1
2 2 0
3 0 3
0 0 1
10 2
3 2 5
3 5 5
3 4 4
1 0 5
2 5 0
4 5 2
0 4 2
2 2 5
3 5 4
5 3 3
10 3
0 2 1
3 1 2
3 3 1
2 1 2
2 0 1
0 2 3
3 2 3
2 0 3
1 3 1
0 1 1
10 3
2 0 2
0 1 1
0 2 1
2 1 1
2 2 2
0 0 0
1 1 2
2 2 1
1 0 0
0 1 2
10 6
0 1 2
2 1 0
2 0 3
0 2 1
2 3 1
0 0 0
1 2 0
1 3 0
3 2 3
1 0 2
10 3
0 1 1
2 0 0
0 0 1
1 0 2
0 0 2
2 0 2
1 1 2
2 1 0
0 2 1
2 2 0
10 8
4 0 4
1 2 2
0 0 3
0 2 4
3 4 4
0 0 0
4 1 3
0 2 1
0 4 1
4 1 0
10 2
2 2 4
3 2 4
0 1 2
2 1 0
0 0 4
1 4 2
1 3 1
3 2 2
3 1 2
3 4 2
10 3
0 1 0
2 0 1
1 0 1
2 2 1
2 2 2
0 0 0
0 0 1
0 1 1
1 1 2
1 2 2
10 2
0 4 1
3 4 2
3 3 5
0 3 0
3 0 4
3 1 3
3 1 1
1 4 4
4 5 2
5 1 3
10 8
0 3 2
3 2 2
3 1 2
0 2 0
0 2 4
3 0 4
1 4 4
4 1 1
0 2 2
1 3 4
10 3
4 2 0
4 0 2
0 2 4
4 3 2
4 4 2
1 1 0
4 0 4
3 0 2
4 4 4
2 1 0
10 3
2 3 1
1 1 3
3 1 0
2 2 2
2 3 3
0 3 1
3 3 1
3 1 2
2 3 2
1 3 0
10 7
0 3 1
1 3 0
1 1 0
2 1 0
3 0 0
1 2 0
0 0 2
0 2 3
3 0 1
1 0 0
10 3
2 3 2
3 3 2
3 2 1
2 1 2
3 0 0
0 2 1
1 0 0
2 0 0
0 3 3
1 3 2
10 5
1 2 0
0 2 1
0 1 1
1 1 2
0 0 0
0 1 0
1 0 1
2 0 1
1 0 2
0 0 2
10 2
0 5 2
0 1 0
4 1 5
1 5 3
4 4 2
2 3 4
3 5 1
3 1 0
1 5 1
1 4 1
10 4
3 0 0
3 2 1
2 3 3
0 1 3
1 3 2
1 1 2
0 1 0
0 0 3
0 0 2
0 1 2
10 2
1 0 0
0 2 1
2 2 1
2 1 2
0 2 0
1 2 1
0 2 2
2 0 1
1 2 2
1 2 0
10 2
2 1 1
3 1 3
3 3 0
2 2 3
2 1 0
3 3 2
1 3 0
0 1 2
2 3 3
2 1 2
10 8
1 0 2
0 4 4
1 1 3
3 3 3
1 1 0
3 5 2
1 2 4
2 4 5
0 1 1
3 0 5
10 3
1 3 3
1 0 0
0 2 2
0 0 0
1 3 1
2 1 2
2 3 0
2 2 3
0 3 0
0 1 1
10 8
1 0 3
2 2 3
1 1 3
3 1 1
1 1 2
0 0 0
2 0 2
3 0 3
0 2 3
0 3 0
10 7
1 2 2
5 3 2
4 3 4
2 3 2
4 5 0
4 5 4
4 1 5
4 4 4
4 5 2
0 3 2
10 9
1 0 1
1 0 2
0 2 1
0 0 0
2 0 0
2 2 1
1 2 1
1 1 2
1 2 2
0 2 0
10 9
2 2 1
2 1 1
2 2 2
0 2 2
0 2 1
1 0 2
0 1 0
0 0 1
2 0 0
2 1 2
10 7
2 0 2
1 2 2
1 1 0
2 0 1
2 2 2
2 2 0
2 1 2
1 2 0
1 0 2
0 1 0
10 7
0 2 3
1 1 2
1 1 0
1 0 2
1 0 0
1 0 1
1 2 0
3 3 1
2 2 2
3 2 2
10 4
2 0 1
2 1 1
2 1 0
0 2 2
2 0 0
1 2 0
0 0 2
2 1 2
0 0 1
1 1 1
10 9
3 1 3
0 4 2
3 2 3
2 0 2
1 4 2
1 3 4
0 3 4
1 2 3
3 1 1
4 1 0
10 6
5 5 5
4 3 3
5 2 2
2 2 1
0 4 0
2 2 2
0 0 2
1 3 0
0 0 4
4 2 1
10 4
2 2 2
2 0 0
1 2 1
0 0 0
1 1 0
2 0 1
0 2 1
1 0 0
0 0 1
1 1 2
10 7
2 3 0
3 2 2
0 0 0
3 1 0
3 2 1
3 3 3
1 2 2
3 0 1
1 3 2
3 1 1
10 4
3 0 2
0 3 3
0 2 0
2 2 1
1 2 2
2 0 1
2 0 2
3 3 1
1 1 0
2 3 1
10 8
0 0 1
2 1 0
2 0 1
0 0 3
2 3 1
1 2 3
1 2 2
1 1 3
2 3 0
3 2 0
10 7
1 3 1
1 3 3
0 2 1
1 1 3
2 3 0
3 3 3
3 0 2
0 2 3
1 3 2
3 2 3
10 8
0 0 1
2 0 0
0 1 1
1 1 0
1 0 1
0 2 2
0 2 1
2 0 2
1 2 1
1 2 0
10 3
4 2 4
2 2 5
0 4 4
0 2 4
5 4 3
4 1 5
1 2 1
3 0 2
0 5 3
2 0 2
10 2
5 0 4
0 1 1
1 1 3
4 1 2
2 4 3
1 3 2
3 3 1
0 0 5
5 5 0
0 5 2
10 6
1 3 2
3 3 1
1 0 2
3 3 3
0 2 3
2 3 0
1 0 0
3 1 0
0 2 1
1 3 3
10 3
0 3 0
0 3 2
1 0 2
0 5 3
4 5 5
2 1 5
2 0 0
4 0 3
1 0 0
0 4 1
10 4
1 2 0
4 3 4
0 2 4
3 0 2
0 2 2
4 2 4
0 3 0
2 4 4
2 2 4
0 0 3
10 4
0 1 3
2 2 2
2 3 3
2 2 0
3 1 1
0 2 2
3 0 1
2 3 2
1 2 1
2 0 3
10 3
2 0 0
1 0 1
2 2 1
2 1 3
3 0 0
0 3 2
2 1 0
2 2 2
3 2 1
2 3 2
10 7
0 1 5
0 3 5
2 4 1
3 0 3
0 3 3
3 5 5
3 5 2
3 0 1
3 2 1
1 4 2
10 3
2 3 0
2 1 1
2 0 1
0 1 1
3 0 3
2 2 2
3 1 0
2 2 1
1 2 1
3 3 3
10 5
5 1 3
1 5 5
5 5 3
5 3 0
4 1 4
4 5 0
3 5 0
1 5 0
5 2 5
0 4 5
10 2
1 0 2
1 1 0
1 2 2
2 2 0
2 1 1
2 2 2
1 2 0
0 1 1
2 1 0
0 0 2
10 8
0 1 1
0 0 2
0 2 1
0 2 2
1 2 2
2 1 0
0 0 0
2 1 1
1 0 2
1 2 0
10 6
0 1 3
1 0 3
2 1 1
0 1 0
3 3 3
0 3 0
3 1 3
0 3 2
3 2 0
2 0 0
10 2
1 2 0
0 0 2
2 0 1
2 1 2
2 0 0
2 2 2
1 0 0
1 0 2
0 1 2
2 2 0
10 3
1 2 2
0 1 0
2 1 1
1 1 2
0 1 1
2 1 0
0 0 1
0 2 2
2 2 1
1 1 0
10 2
5 4 0
3 1 5
4 1 5
3 1 4
0 3 5
1 3 3
2 3 5
4 4 4
4 0 5
5 1 3
10 3
1 0 1
0 2 0
1 2 2
0 2 2
1 1 1
2 2 2
1 2 0
2 1 0
0 1 1
0 0 1
10 3
2 3 1
3 3 3
0 2 3
1 0 3
0 3 2
1 1 1
1 2 3
3 3 2
3 1 2
3 2 3
10 9
0 2 3
3 4 3
1 0 0
1 3 5
5 1 0
0 5 0
5 3 4
0 0 2
4 5 4
5 5 5
10 6
0 1 0
0 0 1
0 0 2
2 1 1
1 1 0
2 2 2
0 2 2
1 2 0
2 2 1
0 0 0
10 2
5 0 0
3 1 5
1 2 0
5 1 0
2 4 4
5 4 5
0 5 0
4 1 1
4 1 5
0 3 4
10 2
5 0 0
2 3 0
4 5 1
2 5 0
5 2 5
3 0 3
2 0 5
3 1 4
2 4 3
1 3 3
10 3
1 0 4
2 0 3
5 0 1
2 0 4
5 5 4
3 5 4
3 0 2
3 2 5
4 5 4
5 4 1
10 6
1 0 3
1 3 1
1 1 3
0 0 0
1 1 1
3 0 1
3 3 2
1 3 3
3 2 3
3 2 2
10 4
5 4 0
4 3 4
1 5 3
5 3 5
0 4 4
4 4 3
4 3 3
1 3 3
2 5 3
0 5 2
10 4
0 1 1
1 1 3
1 2 0
2 2 1
0 2 1
0 3 2
1 3 2
2 2 3
1 2 1
0 2 3
10 9
3 2 2
1 3 0
2 3 0
2 0 0
3 0 2
3 0 0
0 0 3
3 3 1
0 0 0
1 1 3
10 5
1 1 1
2 0 3
1 2 0
3 1 3
3 2 3
3 0 0
2 2 1
0 0 3
2 0 0
3 0 1
10 7
4 0 2
0 3 2
0 2 4
1 2 3
1 0 1
0 1 0
3 3 3
1 3 0
3 4 3
0 2 0
10 9
0 3 5
4 0 3
1 0 0
3 3 2
1 2 1
3 4 5
2 4 4
0 5 2
1 5 0
5 0 5
10 3
0 4 5
0 2 1
0 0 2
2 2 5
2 0 5
4 2 5
1 2 4
3 5 5
1 0 5
2 5 3
10 2
2 2 1
0 1 2
2 1 2
2 2 2
2 1 0
0 2 1
1 0 0
1 1 0
1 2 2
2 2 0
10 9
2 2 0
3 0 2
0 2 1
2 0 2
0 1 1
3 4 3
3 1 2
4 2 4
2 1 1
0 3 4
10 2
5 4 4
0 2 5
2 2 0
2 4 2
5 4 0
2 2 5
5 1 3
3 1 1
5 5 4
0 3 4
10 5
3 0 3
1 2 3
2 2 0
3 1 1
1 3 2
2 2 3
0 1 1
3 1 0
0 0 1
3 2 2
10 8
3 4 4
0 2 4
4 4 0
4 0 0
3 3 0
4 2 1
4 4 3
4 0 2
0 3 2
2 4 0
10 4
3 1 2
4 3 5
1 1 5
2 3 4
0 1 5
5 4 5
3 0 5
5 5 2
4 4 5
1 0 2
10 2
3 1 3
0 2 2
1 1 3
0 0 0
3 0 2
2 0 0
2 3 3
3 3 3
3 3 2
3 1 1
10 2
1 0 1
1 1 1
2 3 3
3 1 0
3 3 2
3 2 1
2 0 0
0 2 0
1 3 3
2 1 0
10 7
2 3 0
3 1 3
3 3 1
2 2 1
0 0 0
2 3 1
3 1 0
1 1 1
0 1 2
0 0 3
10 7
3 4 1
1 0 0
3 0 2
0 0 1
1 2 0
4 3 2
3 1 2
1 4 1
2 0 2
3 4 0
10 6
1 2 1
1 3 2
3 2 3
3 3 1
0 4 1
0 2 4
0 1 0
1 4 1
1 3 4
0 4 3
10 3
4 0 3
1 4 1
2 4 3
0 3 4
2 2 2
4 1 0
2 0 4
4 3 3
1 3 1
4 4 0
10 3
1 3 3
1 4 5
4 2 0
5 4 5
3 4 1
3 4 4
0 3 5
3 2 5
5 0 4
3 1 2
10 3
1 1 0
0 2 3
1 2 0
2 4 1
0 0 0
2 0 1
0 5 4
4 3 1
5 3 5
0 2 0
10 4
2 0 1
5 5 2
1 4 0
3 5 3
5 1 3
5 0 4
0 1 5
4 3 4
1 2 4
3 2 3
10 8
2 1 3
0 1 3
1 3 2
0 0 3
3 1 2
2 1 0
1 0 1
3 2 1
1 1 0
2 2 0
10 5
2 0 5
1 2 2
3 4 2
3 2 5
2 1 4
5 1 4
5 5 1
5 4 0
2 2 1
5 1 5
10 6
1 3 3
0 1 0
2 0 2
2 3 3
2 0 1
1 2 3
2 2 1
3 1 3
3 3 0
0 1 2
10 7
2 1 3
3 2 2
1 4 1
1 1 0
4 4 1
0 4 4
4 3 4
0 1 2
0 3 3
0 1 1
10 8
3 3 3
1 3 2
0 0 0
1 0 0
3 1 3
2 2 1
3 3 0
2 1 3
2 1 2
0 1 3
10 9
1 2 3
1 2 2
0 4 2
0 1 0
4 3 4
0 3 4
0 0 3
3 3 3
0 1 3
3 4 4
10 4
0 3 1
2 4 4
4 1 2
1 4 0
0 1 0
4 4 1
1 4 3
1 1 4
3 0 0
2 0 1
10 6
0 0 1
0 1 2
0 1 1
2 0 0
0 2 1
2 0 2
0 2 2
1 0 1
0 1 0
2 1 1
10 9
2 2 1
2 0 0
1 2 0
0 1 1
0 1 2
0 0 0
1 2 2
1 1 2
1 1 0
1 0 1
10 6
2 2 2
2 1 2
0 2 2
0 0 0
2 2 0
1 1 2
1 0 0
2 0 2
0 0 1
1 2 1
10 8
0 0 1
3 3 2
3 1 3
0 3 4
2 0 1
1 1 4
4 3 1
1 1 1
2 1 0
1 2 0
10 6
3 1 0
1 2 3
1 1 2
2 2 2
2 1 3
0 0 2
0 3 3
3 2 0
2 1 1
0 2 0
10 2
0 3 0
0 0 2
0 2 1
1 3 0
0 3 2
3 2 2
1 3 3
3 0 0
2 0 1
3 0 2
10 4
4 2 0
2 3 5
1 5 2
2 4 4
1 5 0
0 5 3
2 5 1
5 5 0
3 2 5
0 3 1
10 4
1 0 2
1 0 0
2 1 3
0 3 2
2 3 3
0 2 0
2 1 2
0 2 3
3 2 2
0 2 2
10 4
2 4 2
1 3 4
1 2 0
0 4 1
4 3 2
2 0 4
4 1 2
3 1 0
4 2 4
2 0 3
10 6
0 2 2
4 2 1
5 5 3
5 0 5
2 0 1
2 4 1
4 1 2
1 5 0
0 4 1
5 5 4
10 9
3 2 2
1 4 0
1 2 1
2 0 2
4 0 2
1 2 2
3 0 4
3 0 3
1 1 1
4 3 3
10 4
0 2 1
3 1 1
2 3 3
1 2 2
0 3 2
1 3 1
2 2 1
3 3 1
0 0 2
3 3 3
10 7
1 2 0
0 1 2
2 0 0
0 2 1
1 1 1
1 0 0
2 2 0
1 1 0
2 2 2
2 0 1
10 5
4 0 0
3 0 4
2 2 1
3 2 0
3 4 1
2 4 0
4 4 4
4 3 1
2 3 2
4 2 3
10 6
3 0 0
2 1 1
1 0 0
0 2 3
1 2 2
0 1 0
1 3 2
3 1 3
2 3 1
1 2 3
10 7
0 2 2
2 1 2
1 1 2
0 1 1
2 0 1
1 0 0
2 2 2
2 0 0
1 1 1
1 2 0
10 4
0 0 2
0 3 2
3 2 1
3 1 3
3 0 0
2 3 2
3 2 3
0 0 3
0 0 0
0 1 3
10 2
0 1 2
2 0 2
0 0 0
1 0 1
1 0 2
1 1 0
1 1 1
2 1 1
0 2 1
2 2 2
10 9
1 3 0
2 2 3
3 2 0
1 3 1
3 1 3
0 3 2
0 1 0
3 0 0
2 1 2
1 0 2
10 8
2 0 2
0 0 1
1 0 1
2 2 0
1 2 1
0 1 0
1 0 2
2 0 0
2 1 1
0 0 0
10 2
2 1 1
2 2 2
1 1 0
3 3 0
1 3 2
1 3 3
1 2 2
1 0 3
2 0 3
0 0 0
10 9
1 2 4
3 3 2
3 3 0
1 1 0
1 3 1
1 2 0
0 3 1
2 3 2
2 1 2
4 2 1
10 2
1 4 1
3 4 1
4 2 3
3 1 0
3 2 4
4 1 3
1 3 4
3 4 0
0 2 2
2 3 1
10 4
3 3 2
1 2 2
1 1 0
3 3 1
1 2 1
0 0 2
2 0 0
0 2 2
0 2 1
1 0 1
10 2
1 1 3
1 3 4
4 2 1
3 0 4
1 0 1
0 4 1
3 2 1
0 4 2
2 3 4
1 4 2
10 3
0 2 2
2 1 0
0 1 2
1 1 0
0 0 1
2 1 2
2 0 2
1 2 0
1 2 2
1 2 1
10 3
0 2 2
0 0 2
1 2 1
1 2 3
1 2 2
3 1 0
3 2 1
1 0 1
0 1 1
3 3 2
10 2
4 5 2
5 5 3
3 1 0
4 0 2
4 0 5
4 3 1
5 1 1
0 2 4
1 2 3
3 4 3
10 9
4 4 0
2 4 0
1 1 1
3 5 2
2 0 2
2 3 5
4 4 3
3 3 3
5 2 4
5 1 0
10 2
2 3 4
2 0 2
5 5 5
2 3 3
1 4 2
2 1 1
1 2 5
5 2 4
5 3 4
2 5 1
10 7
2 2 2
1 0 3
3 1 2
3 0 2
0 1 3
2 1 3
0 1 1
2 3 1
1 2 2
3 3 0
10 5
1 3 2
0 3 3
0 1 0
1 0 1
3 2 0
2 1 1
0 0 0
3 1 2
0 2 3
1 3 1
10 9
3 3 2
2 2 3
2 0 1
1 3 1
0 2 0
3 1 1
3 2 3
3 3 1
1 2 2
1 0 3
10 2
1 3 1
0 2 1
3 1 2
1 2 2
3 2 3
4 1 1
3 2 0
3 1 3
4 3 3
2 3 4
10 7
1 3 5
0 5 0
2 4 1
4 1 3
0 5 4
2 1 3
3 4 1
2 1 5
2 1 2
5 4 2
10 6
1 0 1
2 0 2
1 0 2
2 0 1
1 2 1
1 1 1
1 1 0
2 1 0
1 0 0
0 0 1
10 3
3 0 3
0 2 0
1 2 3
3 2 2
3 2 3
1 1 3
0 0 2
1 3 3
3 3 1
2 0 1
10 3
0 3 1
2 1 3
0 2 3
3 1 0
0 0 1
3 0 3
3 0 2
1 3 1
1 1 0
1 0 0
10 7
0 1 0
3 3 2
2 3 1
2 2 0
0 1 1
1 2 2
2 2 1
1 3 2
2 0 3
2 0 1
10 5
2 0 1
1 2 1
1 2 2
0 2 0
0 2 2
0 2 1
1 0 2
1 0 0
2 1 0
1 1 2
10 2
0 2 0
2 2 1
1 1 1
2 1 2
0 1 0
1 2 1
2 1 1
2 2 2
0 1 1
1 2 0
10 4
1 1 1
0 0 1
1 2 2
2 2 0
0 0 2
0 2 1
1 0 1
2 1 0
1 0 0
0 1 2
10 9
0 3 2
2 0 0
0 1 0
4 1 3
2 4 0
2 1 0
3 4 3
1 3 4
3 2 4
3 0 4
10 2
1 1 4
4 1 2
2 3 0
4 0 1
0 3 1
3 0 3
0 3 4
4 0 0
0 0 3
4 4 0
10 8
1 1 0
0 0 1
0 2 1
1 2 2
1 0 2
1 1 2
0 1 2
1 0 1
0 0 2
2 1 0
10 3
4 5 4
1 4 2
0 1 3
2 4 2
2 1 3
5 1 3
5 4 0
3 4 2
5 3 1
5 1 4
10 4
1 0 5
0 5 5
3 2 2
0 1 2
5 4 4
3 5 3
5 0 2
3 4 0
5 2 0
3 1 5
10 2
1 1 0
1 4 1
0 2 4
2 4 0
2 5 1
1 5 0
5 4 0
0 0 3
1 2 5
5 5 1
10 6
1 1 2
1 2 1
3 1 3
0 0 0
2 1 1
3 0 3
2 2 1
1 0 0
3 1 0
0 0 1
10 6
1 2 1
1 0 0
0 2 1
1 1 0
2 2 2
2 2 1
1 1 1
0 0 0
1 1 2
0 0 2
10 8
0 1 0
0 0 1
2 1 2
1 1 2
2 2 2
2 0 2
1 0 1
2 0 0
2 1 1
2 1 0
10 5
1 3 5
0 1 5
5 4 0
4 0 1
2 4 5
0 4 3
0 3 1
4 2 0
1 4 5
1 4 0
10 7
0 1 2
2 0 3
0 0 2
3 3 2
3 1 3
0 1 0
2 1 2
1 1 2
3 3 1
0 2 0
10 5
5 0 1
4 0 3
1 5 5
0 4 0
2 2 5
1 1 5
3 0 5
1 5 1
3 2 4
3 0 3
10 6
2 0 0
2 2 2
0 2 1
0 2 0
2 0 2
2 2 0
1 0 2
1 2 0
2 1 0
0 1 2
10 6
3 1 3
2 0 2
0 1 2
3 0 3
0 2 2
1 2 1
3 2 0
1 3 1
0 3 0
0 0 0
10 6
3 3 1
2 5 3
5 2 4
0 1 2
5 2 0
0 0 2
3 3 5
3 4 2
5 4 3
3 1 4
10 8
0 0 1
1 3 2
0 1 2
2 2 1
2 3 2
2 3 1
1 2 2
1 2 3
3 2 0
0 0 2
10 7
4 0 3
5 4 2
2 3 4
0 1 4
2 4 4
4 5 3
2 0 4
1 2 3
1 1 1
5 0 0
10 9
0 1 3
2 2 3
4 5 4
5 2 3
4 4 1
3 0 0
1 1 4
0 2 3
1 2 5
0 5 2
10 4
0 4 0
4 4 4
2 2 4
3 3 4
1 3 0
1 2 2
4 0 4
4 3 4
4 1 4
3 2 0
10 5
0 2 0
0 2 2
1 0 2
1 1 2
2 1 0
2 2 0
2 1 1
0 2 1
1 2 0
0 0 0
10 6
0 3 1
2 2 1
0 0 1
1 1 0
0 1 3
1 2 2
3 3 3
3 1 2
1 1 1
0 2 0
10 3
0 0 3
1 3 1
3 2 1
2 2 3
0 2 2
1 0 0
0 3 3
3 2 0
2 0 1
0 3 2
10 6
1 0 5
5 0 4
0 0 3
5 5 4
3 3 1
1 3 4
3 3 3
4 0 0
4 0 4
1 0 4
10 9
0 1 3
2 2 3
3 0 1
3 2 3
3 1 2
2 2 2
3 3 0
3 3 2
0 3 2
1 2 0
10 6
2 0 1
1 3 5
2 3 4
2 4 3
3 1 0
3 1 4
2 3 0
3 3 5
5 4 3
0 0 2
10 4
2 0 2
3 0 1
0 2 4
1 3 2
1 0 1
0 4 3
0 0 1
2 0 1
3 1 0
3 1 1
10 9
3 0 4
0 5 0
4 2 5
2 2 0
1 5 3
0 1 4
0 4 3
0 4 0
5 4 2
3 4 0
10 4
2 1 2
3 0 1
3 1 0
0 0 1
1 1 3
1 3 2
1 1 1
2 2 3
0 3 3
2 1 0
10 9
1 2 1
0 2 2
2 1 4
3 3 1
2 1 0
3 0 4
0 1 3
2 2 4
4 1 4
0 1 0
10 6
2 1 2
3 0 3
2 0 0
3 3 0
1 0 3
0 3 3
2 3 1
2 3 0
1 0 2
3 3 3
10 8
0 3 3
3 1 3
4 3 1
1 0 0
5 2 2
1 2 4
0 4 4
3 3 3
4 4 2
0 0 0
10 8
4 4 4
1 0 1
2 1 4
1 1 2
1 1 4
3 4 3
2 3 0
0 0 0
2 1 1
3 4 4
10 3
2 1 2
3 5 5
0 2 0
5 4 5
4 1 1
2 3 0
3 3 0
0 1 5
2 2 3
3 4 2
10 5
3 3 1
1 1 2
1 3 2
0 2 0
3 2 1
2 2 1
2 2 2
2 1 2
3 0 3
3 3 3
10 9
2 1 0
0 0 2
0 1 2
2 2 2
1 0 1
1 1 2
0 2 0
1 2 0
2 1 1
2 0 0
10 6
2 2 2
1 1 0
3 2 0
3 2 2
1 2 3
3 2 3
0 3 3
1 1 3
0 3 1
3 1 1
10 6
1 1 1
1 0 0
2 1 0
2 1 1
0 2 1
2 0 2
1 2 0
2 2 2
0 0 1
1 0 2
10 2
0 2 2
0 3 1
1 2 1
2 3 2
2 2 1
3 1 2
0 1 2
0 2 0
1 3 1
2 2 0
10 8
1 3 1
3 2 0
1 3 2
1 0 4
1 4 1
3 4 0
2 4 4
0 0 4
2 0 2
3 0 0
10 6
3 4 0
0 4 3
1 0 0
1 3 0
0 2 4
2 0 1
4 3 2
4 2 2
4 3 0
3 3 1
10 2
2 0 2
1 0 0
0 1 1
1 1 2
1 1 0
0 1 2
2 2 1
2 1 0
2 0 1
1 0 1
10 8
4 1 4
3 4 4
2 2 3
3 2 4
4 3 4
3 2 3
2 1 2
0 0 0
1 0 2
4 0 1
10 8
0 4 1
2 2 1
3 5 2
4 4 1
0 3 2
3 5 4
4 3 0
2 5 3
5 5 1
5 2 1
10 2
0 1 2
0 2 1
1 0 2
1 1 2
0 1 1
2 0 1
1 0 0
0 1 0
0 2 0
2 1 0
10 7
1 2 4
4 2 0
2 5 2
3 2 3
0 4 5
1 0 3
1 0 2
2 3 5
0 3 2
1 2 5
10 6
3 2 0
0 2 0
3 3 3
0 3 1
1 0 1
1 2 0
1 3 2
2 2 3
0 3 0
2 0 1
10 2
3 3 1
3 3 4
4 4 2
0 3 3
4 1 4
2 4 4
4 2 4
0 1 1
2 2 1
1 2 1
10 6
1 3 2
1 0 2
1 1 2
0 3 1
0 3 0
1 0 0
3 3 2
3 3 0
3 0 0
3 0 1
10 8
0 2 2
2 2 0
0 1 0
1 1 1
0 0 2
1 2 0
1 2 2
1 1 0
2 2 2
0 2 1
10 5
1 1 1
2 1 2
1 2 2
1 0 2
2 0 0
2 0 1
0 0 0
1 0 1
2 2 2
1 1 2
10 9
2 3 2
3 3 1
2 1 3
2 1 0
3 2 1
1 3 0
3 2 2
1 2 0
2 0 3
1 0 0
10 4
0 1 1
0 3 2
0 0 2
2 3 2
2 3 1
1 2 1
2 3 0
2 2 0
1 0 1
2 1 0
10 8
2 0 2
1 0 0
0 0 1
2 0 1
2 2 2
2 1 1
2 2 1
1 0 1
0 1 2
0 2 2
10 4
3 2 0
4 4 4
4 2 1
3 3 3
0 4 4
0 5 4
2 1 0
0 0 3
2 0 1
2 3 3
10 5
2 0 2
0 2 1
3 3 0
2 3 3
3 0 0
1 3 3
1 0 3
2 1 3
0 0 0
1 1 1
10 6
2 0 1
1 2 1
0 3 3
0 3 0
3 2 1
3 3 3
0 1 1
2 3 3
0 0 2
3 3 2
10 8
0 0 3
1 1 0
0 3 2
1 1 2
0 1 1
3 1 0
3 2 3
1 2 0
1 0 1
3 0 1
10 2
2 3 2
3 3 3
3 0 1
1 1 2
3 2 2
0 1 2
1 2 1
2 1 1
0 0 0
1 1 3
10 7
0 0 3
0 0 0
3 0 1
1 2 0
2 2 3
2 1 2
3 3 1
0 0 1
2 3 0
3 2 3
10 6
3 0 1
0 2 3
3 0 2
0 1 3
3 1 3
2 3 3
2 1 0
3 2 1
2 2 0
1 1 2
10 8
1 2 1
0 2 0
2 0 1
1 1 0
2 0 2
2 2 1
0 1 0
1 0 2
1 0 0
0 0 1
10 3
1 0 1
1 2 2
1 1 0
0 2 2
2 1 0
0 0 1
0 0 0
1 0 2
2 0 1
1 0 0
10 4
0 1 3
2 2 2
3 2 0
2 2 3
1 3 3
1 0 0
2 0 0
3 3 2
0 0 2
2 1 1
10 7
0 4 5
2 5 3
5 2 5
5 1 0
5 2 4
5 2 2
2 4 2
4 2 0
1 4 3
1 2 1
10 4
5 3 4
3 0 1
0 1 5
5 0 5
4 3 3
3 1 4
1 2 2
5 0 3
5 1 2
3 1 5
10 3
2 4 2
3 2 2
0 4 1
3 3 2
0 2 2
1 0 1
0 1 1
4 3 0
1 3 0
1 2 0
10 7
0 3 0
0 3 4
0 1 1
4 2 0
1 4 1
2 2 1
2 1 0
1 1 0
3 3 3
2 1 3
10 8
4 2 3
5 4 1
4 0 5
4 3 3
3 1 1
1 2 1
0 5 2
0 5 3
1 4 5
5 3 3
10 7
1 3 1
2 0 1
2 2 1
1 0 0
2 1 3
2 3 0
2 2 3
0 3 3
0 3 0
3 3 2
10 2
0 3 4
1 5 1
1 0 2
2 1 4
4 2 4
2 5 0
1 5 4
2 0 1
5 3 4
2 4 1
10 4
2 0 2
2 2 2
1 0 0
0 2 1
0 2 2
2 0 1
0 1 0
1 1 1
0 0 0
2 2 0
10 3
3 0 1
2 3 1
2 0 1
2 0 3
3 1 3
0 2 1
1 2 1
1 3 3
2 0 2
3 0 3
10 9
5 5 5
1 4 1
4 4 0
4 2 2
0 5 4
5 1 4
0 5 1
2 4 5
0 0 4
3 3 5
10 6
3 4 2
2 1 4
3 0 4
0 2 1
3 0 1
3 3 3
1 0 4
3 1 3
4 2 4
4 1 3
10 5
4 0 0
1 3 1
3 4 2
0 1 1
5 5 2
0 1 5
1 0 2
5 4 5
3 3 5
5 1 3
10 2
1 0 1
1 1 1
0 1 1
2 1 2
0 1 0
2 0 2
2 2 0
1 1 0
0 1 2
2 1 1
10 6
0 0 4
1 0 2
2 2 3
3 1 3
4 1 3
3 0 4
4 0 1
1 1 4
2 1 2
0 3 2
10 5
2 4 4
0 4 1
3 4 4
3 4 2
2 4 1
4 2 4
1 3 1
4 4 1
3 1 2
4 1 2
10 9
2 3 3
0 4 1
1 0 0
3 3 2
0 2 3
3 1 4
2 1 3
3 3 0
3 2 3
2 2 1
10 5
0 2 0
2 0 0
0 0 2
0 2 2
1 2 1
0 1 1
1 0 0
2 1 0
1 1 2
1 1 1
10 6
3 2 0
4 0 4
2 0 4
3 0 3
0 0 2
2 4 0
2 2 0
1 1 5
5 3 2
1 3 0
10 4
4 1 0
4 3 1
3 4 4
2 0 0
1 4 3
0 3 4
2 1 3
1 1 2
2 4 4
3 3 0
10 6
0 0 0
0 2 0
0 0 1
0 0 2
0 2 1
0 1 0
2 1 2
1 0 0
2 0 0
0 1 1
10 5
2 2 4
2 4 4
2 2 0
4 0 0
1 1 2
4 0 3
0 0 3
4 4 0
1 4 2
0 4 0
10 7
4 5 4
0 2 0
3 2 2
1 3 0
1 1 1
5 5 5
5 3 2
5 5 4
1 4 4
1 5 5
10 7
2 4 4
0 5 4
3 3 3
0 0 5
2 3 0
5 5 5
3 4 4
4 5 2
3 1 0
4 5 0
10 5
1 0 0
1 2 1
2 2 1
0 0 2
1 2 2
2 1 1
0 2 0
2 0 0
1 1 1
0 1 1
10 6
0 1 5
5 1 5
1 3 2
1 0 1
2 0 3
3 4 3
3 1 2
0 0 1
2 5 1
5 1 0
10 9
0 0 0
2 0 0
2 1 0
1 0 2
0 1 0
1 2 0
0 1 1
0 2 2
0 2 0
0 1 2
10 5
1 3 0
2 1 2
1 2 1
2 0 3
1 2 2
2 3 1
1 1 0
0 2 3
2 0 1
0 0 3
10 4
2 0 1
2 1 2
2 1 0
1 0 0
0 2 2
0 1 0
2 2 1
1 1 2
0 2 1
1 2 0
10 9
5 1 4
1 4 5
5 0 0
1 0 1
2 1 2
4 4 1
2 3 1
0 1 0
5 3 2
2 2 2
10 5
2 1 2
0 0 1
0 0 2
0 0 0
2 2 0
1 1 0
0 2 1
2 0 2
1 0 2
2 1 0
10 4
1 3 2
2 3 2
4 4 0
1 3 3
2 3 1
2 2 4
4 4 2
3 1 0
2 0 4
2 1 4
10 5
1 0 2
1 1 0
0 1 0
3 1 0
0 0 0
3 0 1
1 3 0
2 0 3
1 3 2
0 1 3
10 4
0 3 2
1 4 1
0 4 3
0 4 4
4 0 2
3 2 2
0 2 1
0 1 2
3 1 4
1 2 2
10 2
2 3 0
0 1 2
3 2 0
0 0 0
0 1 0
3 0 0
2 0 2
2 0 1
3 0 3
1 3 2
10 9
0 1 2
3 2 1
0 3 4
1 1 2
3 2 4
2 1 1
0 4 3
2 2 2
4 3 0
3 1 3
10 4
2 1 2
3 4 3
0 0 3
0 2 1
2 1 0
2 2 0
0 1 2
4 2 1
3 1 0
3 1 2
10 3
0 0 2
2 0 0
3 1 1
2 3 0
0 0 0
1 3 1
1 0 3
0 0 3
0 3 2
1 2 3
10 2
0 1 2
1 0 1
2 0 3
3 2 2
0 1 3
2 3 0
3 1 1
2 2 2
0 3 0
3 3 3
10 8
3 1 0
0 3 0
0 1 2
4 2 0
4 0 4
1 2 1
3 0 3
3 2 1
0 2 1
1 1 0
10 7
0 5 0
4 2 5
0 0 2
3 4 2
4 5 5
0 0 0
4 2 2
0 1 3
1 5 5
2 2 2
10 6
1 0 0
0 1 1
3 0 3
0 0 1
2 4 2
1 3 0
4 3 1
1 1 2
0 0 4
3 3 2
10 8
1 1 1
1 2 0
0 2 2
2 0 0
2 1 2
2 0 2
0 2 0
1 0 1
1 2 2
0 2 1
10 5
1 2 3
0 0 3
1 0 3
2 0 1
0 0 0
0 2 2
2 1 1
0 3 0
1 0 2
3 0 3
10 9
0 0 1
1 0 1
0 0 0
2 1 0
2 0 1
1 2 2
0 1 1
2 2 2
0 2 2
2 1 2
10 8
2 1 1
0 1 2
2 1 2
2 0 1
1 0 0
0 1 1
2 0 2
1 2 1
2 2 0
1 0 2
10 5
0 2 0
0 0 0
1 0 1
1 2 2
2 2 1
2 1 0
0 2 2
0 1 1
2 1 1
0 2 1
10 2
4 1 4
1 3 2
4 3 0
0 1 3
4 2 4
4 1 1
3 2 4
1 2 0
0 2 0
3 3 3
10 2
2 2 0
1 4 1
1 3 2
5 1 2
4 1 1
2 3 3
5 1 5
4 3 1
4 1 0
5 2 5
10 3
0 0 3
3 0 1
0 0 0
3 1 2
2 5 2
5 4 5
3 2 4
5 4 3
4 1 1
5 0 1
10 3
1 2 2
0 0 2
0 0 1
2 1 2
1 0 1
1 1 0
2 2 2
0 2 0
1 2 1
0 1 2
10 3
0 4 1
0 2 5
3 0 5
2 1 2
1 5 2
3 5 5
1 0 5
0 0 2
5 3 2
1 1 4
10 3
2 0 3
0 2 2
3 0 0
2 2 0
3 3 3
0 0 2
1 1 0
0 2 3
3 3 2
3 2 0
10 7
2 1 0
2 0 1
1 2 1
0 1 0
1 0 0
0 0 0
1 2 2
0 2 1
2 2 2
0 2 2
10 8
3 3 0
0 2 0
1 1 3
0 2 2
3 0 1
3 0 0
1 2 0
2 1 3
3 3 1
0 0 3
10 6
4 3 0
1 4 3
2 4 4
0 4 4
1 2 3
2 1 4
4 0 2
3 1 4
2 2 3
4 3 1
10 9
1 0 0
0 1 3
3 2 3
2 1 3
0 1 2
2 3 2
1 1 3
3 2 1
2 2 1
1 2 3
10 5
0 1 0
2 2 1
2 2 0
1 1 1
1 0 1
0 1 2
2 0 0
0 0 1
1 1 0
2 1 2
10 2
4 2 4
2 2 5
2 2 1
0 0 0
2 1 4
4 3 0
5 1 3
2 4 2
0 5 0
3 1 0
10 3
0 1 1
2 2 1
2 1 1
1 2 2
2 1 2
1 0 0
0 1 0
0 0 2
0 0 1
2 0 1
10 4
1 4 3
4 4 5
3 2 4
2 3 2
4 0 5
4 0 3
0 2 0
3 5 3
1 5 1
2 3 0
10 7
0 2 3
0 1 4
1 3 4
2 2 4
3 0 0
3 2 3
1 2 2
4 4 2
0 3 3
4 3 3
10 9
0 0 1
2 1 2
0 1 0
2 0 1
1 0 0
2 2 1
0 2 0
1 1 1
0 0 0
2 1 1
10 3
3 5 0
2 0 4
0 2 1
4 2 2
1 4 1
1 0 1
0 5 5
3 0 2
3 0 0
0 2 0
10 2
2 2 4
4 0 4
4 2 1
0 4 0
1 3 2
4 1 1
4 3 1
2 1 2
3 2 0
4 1 0
10 4
1 2 5
0 2 2
4 2 1
5 4 2
0 4 0
1 1 2
1 2 0
4 1 4
5 3 0
5 5 1
10 9
2 0 2
1 2 2
1 1 0
2 2 1
2 2 0
0 1 0
2 1 0
2 2 2
2 1 2
0 0 0
10 9
0 1 4
3 3 2
2 4 4
1 1 3
4 1 1
2 1 3
0 0 1
3 4 1
4 0 0
3 3 0
10 5
3 1 1
1 0 2
0 1 2
1 2 2
0 3 0
3 3 2
2 2 1
2 1 0
0 3 1
0 1 1
10 9
1 0 2
2 0 3
1 1 0
1 0 1
0 0 2
0 1 3
3 2 3
3 2 1
0 3 2
0 2 2
10 5
3 1 3
1 1 1
3 0 2
0 3 0
3 3 0
2 1 1
2 2 3
1 3 0
3 2 0
2 2 2
10 7
2 1 3
0 3 1
2 3 1
3 3 0
2 3 3
0 1 3
0 2 3
0 0 1
2 2 2
0 1 0
10 7
1 1 1
0 0 2
0 1 0
0 1 2
1 0 1
1 2 2
2 1 1
2 2 2
0 0 1
2 1 2
10 3
4 1 1
1 3 4
0 0 2
3 2 3
4 1 0
2 1 1
0 0 3
0 2 0
2 3 1
1 4 3
10 2
2 1 0
1 2 1
1 0 2
0 0 0
0 2 1
0 1 0
2 2 0
1 1 1
1 2 2
0 2 2
10 9
2 2 2
0 1 2
1 2 0
0 2 2
0 2 3
2 1 3
1 0 0
2 1 0
3 1 1
3 1 0
10 7
0 3 3
3 3 1
2 3 2
4 4 3
3 4 4
1 4 3
0 0 4
4 4 0
3 2 1
4 2 3
10 9
0 2 0
2 1 3
3 2 0
0 0 0
2 1 0
1 3 1
3 2 3
0 3 2
0 1 2
0 1 0
10 8
0 0 2
1 1 0
2 0 0
0 0 1
1 0 2
2 2 0
1 0 1
0 2 1
0 0 0
1 0 0
10 6
1 1 2
0 0 2
1 1 0
1 2 0
2 2 2
1 1 1
0 1 1
1 2 2
0 0 1
2 0 1
10 6
1 3 4
3 1 2
1 3 2
4 3 1
3 0 2
1 2 4
2 1 1
0 0 1
1 0 0
1 0 4
10 2
0 2 1
0 3 3
2 3 3
2 1 0
3 3 1
2 2 0
2 2 3
3 1 1
0 1 1
2 0 0
10 2
0 1 0
0 1 2
1 2 0
2 2 2
1 2 2
1 2 1
2 1 2
1 1 2
0 2 1
0 2 2
10 9
1 0 4
5 3 0
3 1 2
4 1 5
0 0 3
2 2 5
2 1 4
2 4 2
4 4 3
2 5 0
10 8
2 2 1
0 3 2
0 1 1
0 3 1
2 2 3
3 0 2
2 0 0
1 3 2
1 3 3
2 0 3
10 6
2 2 2
2 2 0
1 0 0
1 1 2
0 2 0
2 2 1
0 0 2
2 0 2
2 1 2
1 1 0
10 4
1 3 0
0 1 3
3 2 3
2 3 3
2 3 1
1 1 3
3 0 0
0 3 2
2 2 1
0 1 2
10 9
5 0 4
3 5 3
4 2 0
3 1 2
3 2 3
3 2 4
0 0 4
4 0 5
4 1 3
3 5 1
10 7
1 3 1
1 0 2
2 3 3
2 2 2
1 1 0
3 3 1
0 3 2
2 1 2
0 3 3
0 3 0
10 9
0 1 3
1 0 3
3 0 0
1 3 3
2 1 1
0 0 0
1 2 3
3 1 1
2 3 2
2 0 1
10 4
0 1 1
2 2 2
2 1 1
2 2 0
1 1 1
0 2 1
1 1 0
1 1 2
2 1 2
0 0 0
10 9
0 5 2
1 5 0
5 1 2
4 3 1
0 4 4
2 5 3
2 5 2
0 2 0
5 2 2
0 1 2
10 3
5 3 1
5 1 4
4 4 3
4 3 2
0 4 3
4 5 4
5 3 2
4 2 1
3 3 3
1 3 4
10 5
4 4 3
5 3 2
2 3 4
0 5 1
3 2 0
4 3 0
0 4 2
5 0 1
5 2 3
1 3 1
10 8
0 0 0
1 1 1
1 2 0
1 1 2
0 1 0
1 1 0
0 1 1
2 2 0
1 0 0
0 2 1
10 8
1 1 0
4 2 0
3 0 1
2 0 1
0 3 2
1 0 4
1 4 0
2 3 4
4 3 1
1 2 4
10 4
4 3 4
1 3 2
1 2 1
4 1 1
3 4 2
2 4 2
1 1 0
2 0 4
0 0 1
2 3 2
10 6
2 2 2
0 3 1
1 3 1
2 1 2
0 3 3
0 2 1
0 2 3
0 0 0
3 1 3
3 0 2
10 9
0 4 2
4 5 4
4 4 1
4 1 4
4 0 4
3 2 2
2 3 5
5 1 1
5 4 0
0 5 5
10 5
2 4 2
3 1 0
1 0 0
0 2 2
3 3 2
1 0 2
4 1 2
0 0 4
4 3 0
4 4 3
10 8
1 1 1
0 0 2
2 2 2
1 1 0
0 0 0
0 0 1
1 2 2
0 1 1
2 2 0
2 1 2
10 6
2 0 0
2 2 1
1 2 0
1 0 0
0 2 1
1 2 1
1 1 0
1 0 2
2 0 2
1 2 2
10 6
2 0 1
2 1 0
2 0 2
1 1 2
1 0 2
0 1 2
2 1 1
2 1 2
1 2 2
2 0 0
10 6
1 5 1
5 3 3
0 1 4
3 2 0
4 4 5
3 3 4
5 1 3
3 0 5
2 5 4
0 0 3
10 6
2 3 4
1 4 4
4 2 0
3 4 1
2 2 1
2 1 0
1 3 1
4 3 3
3 0 0
2 1 2
10 7
1 0 1
2 1 2
0 2 0
1 2 1
2 0 2
1 1 2
0 0 2
0 1 1
0 0 0
0 2 1
10 2
4 4 4
3 4 1
4 4 0
0 0 4
4 2 2
4 0 0
4 0 2
2 3 3
2 0 1
2 4 1
10 2
4 0 4
3 3 0
2 2 4
2 3 5
1 0 2
1 4 0
0 0 3
5 0 4
2 2 3
0 3 3
10 3
2 1 3
3 2 2
0 0 0
3 2 3
0 0 1
2 1 2
3 3 3
1 3 0
0 1 2
3 0 3
10 2
0 3 3
4 3 3
1 4 1
2 4 1
0 4 0
3 4 4
1 2 4
5 3 1
0 2 4
0 5 3
10 5
0 2 4
0 3 1
3 2 1
2 0 2
4 0 2
3 3 4
4 1 0
3 2 4
3 3 0
4 3 0
10 8
3 3 0
2 0 2
1 4 4
2 3 0
4 0 4
3 1 2
4 2 0
3 2 3
3 4 2
1 1 2
10 7
1 0 2
1 1 2
1 1 1
2 1 0
0 0 0
0 2 1
2 2 1
2 0 0
0 0 2
0 0 1
10 4
0 2 0
2 1 0
0 0 2
2 0 1
2 2 1
1 2 0
0 1 2
1 0 2
0 1 0
2 2 2
10 3
1 4 5
2 5 1
0 1 3
2 2 2
2 5 2
2 0 4
2 1 2
4 1 5
2 2 0
0 3 1
10 6
2 2 2
2 1 3
2 1 2
3 4 2
1 4 2
0 0 3
3 3 0
2 3 3
4 1 4
3 1 3
10 9
0 4 2
2 1 2
1 4 3
3 4 4
4 4 0
4 2 4
4 4 2
0 3 1
5 0 5
4 1 4
10 6
3 1 0
2 1 2
3 4 4
1 2 0
2 0 4
5 2 0
0 2 2
0 0 2
4 0 3
5 4 3
10 4
2 1 3
3 2 3
0 0 0
3 0 2
4 4 0
1 4 1
0 3 2
4 1 1
3 4 3
4 2 3
10 7
3 0 4
5 1 2
5 5 3
3 5 4
1 4 3
1 1 2
4 5 5
4 2 2
3 4 4
2 2 4
10 5
3 3 1
1 3 0
0 2 0
1 0 2
2 2 3
0 3 0
1 3 2
2 2 2
0 1 0
0 0 1
10 9
1 2 3
2 2 1
3 1 1
0 3 0
1 0 1
1 3 0
2 3 2
3 3 0
1 0 2
2 2 2
10 5
5 4 3
2 2 4
3 0 2
4 0 1
2 2 2
3 0 3
5 4 1
3 1 1
4 3 5
3 3 1
10 9
0 1 0
4 3 1
3 0 3
3 0 0
1 4 3
2 3 3
0 3 2
2 4 1
1 1 4
2 2 1
10 3
2 5 4
5 3 2
0 3 4
5 2 0
1 1 4
4 2 0
4 2 4
2 2 1
5 5 2
0 5 5
10 6
3 1 2
1 0 5
3 5 5
1 1 5
2 1 2
5 4 2
0 1 1
3 1 1
1 3 1
1 4 2
10 7
0 2 2
1 1 2
0 0 2
0 1 2
0 2 0
2 0 1
2 0 0
2 2 2
0 2 1
2 0 2
10 5
1 1 1
0 1 1
0 0 2
0 1 2
0 2 1
1 0 2
2 1 2
0 0 1
2 0 0
1 1 0
10 4
1 3 3
0 1 0
0 3 0
2 1 3
3 2 4
2 1 1
3 2 1
1 3 1
0 3 3
4 2 1
10 2
2 3 2
2 1 4
1 0 4
3 4 4
4 2 1
1 3 4
2 0 5
4 0 5
5 5 0
1 5 3
10 7
2 0 1
0 1 2
1 0 1
2 2 2
2 1 0
1 2 0
1 1 2
2 0 0
2 0 2
0 1 1
10 2
3 5 5
1 5 3
4 4 1
2 2 3
5 5 3
4 5 2
2 2 2
5 5 2
0 5 2
5 5 0
10 9
0 0 2
0 1 2
1 1 2
1 1 0
0 2 2
0 2 0
2 1 2
1 2 1
1 2 0
0 0 0
10 6
2 2 0
4 0 3
0 4 3
2 0 0
1 2 4
4 0 0
2 1 3
0 3 2
4 1 3
4 1 2
10 7
0 3 3
3 1 3
3 1 1
1 3 2
3 0 3
1 0 0
1 3 1
0 0 3
1 2 1
1 3 0
10 6
0 1 1
1 2 0
1 2 1
0 0 2
2 1 2
2 0 2
0 2 0
2 1 1
0 0 1
2 2 2
10 8
0 2 1
0 2 0
1 0 1
2 1 2
0 0 0
0 0 2
0 0 1
1 2 0
0 1 2
1 0 2
10 7
3 2 1
2 1 2
3 1 2
2 2 3
2 0 3
2 1 0
3 3 0
1 2 2
3 1 1
0 0 3
10 8
3 2 3
3 2 4
3 0 4
3 1 3
4 3 0
1 2 2
3 4 4
4 0 2
3 4 2
0 3 1
10 7
2 0 2
1 1 2
0 1 2
1 1 1
2 1 2
0 0 1
0 2 0
2 1 0
1 0 2
1 0 0
10 6
2 2 0
0 0 0
0 0 1
1 0 0
1 1 1
0 2 2
2 0 0
1 2 2
0 1 0
1 1 0
10 5
0 3 3
3 3 1
0 1 4
4 1 1
0 0 2
3 4 3
3 4 2
3 2 4
1 3 0
4 1 2
10 9
0 2 3
2 3 0
1 1 3
0 0 2
2 2 1
0 0 3
3 1 2
3 0 0
2 2 3
2 0 3
10 9
0 2 0
0 2 2
0 1 0
1 1 2
1 2 0
2 0 2
0 1 2
2 0 1
0 0 0
0 2 1
10 3
0 0 2
2 2 2
0 0 1
0 2 2
2 0 2
2 1 2
1 2 1
1 0 0
2 1 1
1 1 2
10 7
1 1 0
0 1 0
1 2 1
0 0 1
2 2 0
0 2 2
2 0 1
0 2 0
0 2 1
2 2 2
10 7
0 1 2
0 0 3
1 0 2
3 2 2
2 2 2
0 3 0
0 0 1
2 0 3
1 3 0
3 0 1
10 9
0 0 4
0 5 4
3 2 5
0 3 5
2 0 0
0 1 1
3 0 3
2 1 4
4 3 5
3 2 4
10 5
0 0 1
3 2 3
1 3 3
1 2 0
0 1 2
1 1 1
3 2 1
3 1 0
1 0 2
3 3 0
10 9
1 2 0
2 0 2
0 0 1
3 3 3
2 0 0
1 2 2
0 0 4
0 3 2
1 3 3
3 3 2
10 9
4 3 2
0 1 1
1 4 1
4 0 3
2 1 4
2 1 3
2 1 1
1 0 4
2 2 2
2 0 2
10 9
2 3 2
2 4 0
2 2 1
1 0 1
3 1 3
4 0 3
0 1 1
2 0 0
0 2 2
0 0 2
10 7
1 2 2
2 3 2
3 3 3
1 0 1
2 1 1
3 1 3
0 3 2
3 2 0
2 2 3
2 2 1
10 5
1 4 2
0 2 0
4 2 4
5 4 3
1 0 0
1 2 0
0 4 4
5 4 5
0 2 4
1 5 4
10 4
2 0 0
1 1 1
0 1 0
2 1 2
1 0 1
0 2 2
1 1 0
0 1 2
0 2 0
1 2 1
10 6
4 0 5
2 5 5
0 2 0
1 4 3
3 0 4
2 4 1
2 1 2
5 0 1
5 4 3
3 0 3
10 7
3 0 2
3 5 4
3 1 5
3 0 0
4 1 4
0 2 0
3 4 3
5 5 1
2 1 2
0 5 2
10 6
3 0 4
4 4 1
0 4 0
3 2 0
4 0 2
0 1 3
4 0 1
3 0 3
1 4 4
4 4 0
10 7
1 0 0
1 2 2
1 1 1
2 1 1
0 1 0
2 1 2
0 1 2
1 1 0
1 2 0
1 1 2
10 7
0 3 3
1 2 3
0 2 2
1 1 0
0 1 3
2 1 3
1 2 2
2 0 1
3 1 1
2 2 2
10 2
3 0 1
0 1 2
3 1 3
3 0 3
2 0 3
0 1 3
0 0 0
1 2 1
1 3 0
0 0 1
10 6
0 1 2
2 4 1
0 1 1
2 4 0
0 3 0
1 4 0
3 1 1
0 3 3
1 3 2
4 3 1
10 4
0 3 1
3 1 2
0 3 0
1 3 2
3 0 2
3 2 3
1 2 0
2 0 0
3 2 2
0 2 3
10 7
1 4 1
4 1 4
4 4 1
0 3 1
0 2 0
3 4 3
4 2 3
4 2 4
0 4 4
0 2 3
10 4
2 1 4
4 4 0
1 0 0
4 2 2
0 2 4
2 0 1
3 1 4
0 4 2
0 2 0
2 0 0
10 9
2 0 2
5 1 4
5 1 2
3 3 1
3 3 2
3 0 2
3 4 2
0 4 0
3 1 5
1 2 3
10 5
0 1 2
2 2 0
2 3 1
2 0 2
0 4 2
3 2 1
2 3 4
2 0 0
0 1 0
1 1 4
10 9
1 0 0
2 2 0
0 0 2
1 2 1
2 0 0
1 0 2
0 2 1
0 1 1
0 0 0
0 1 2
10 7
2 4 0
1 0 0
1 2 4
2 5 4
3 5 2
4 5 0
3 4 2
1 3 1
0 4 1
2 5 0
10 7
3 1 4
1 1 5
0 0 5
5 0 3
1 4 4
0 2 3
0 4 5
4 1 0
3 2 5
2 0 2
10 7
4 5 0
4 3 4
4 2 4
3 2 5
0 5 5
1 2 2
3 0 1
5 4 4
3 1 0
3 4 5
10 7
1 3 0
1 3 2
0 2 4
4 2 4
3 3 3
0 0 2
4 2 0
0 0 0
2 2 0
4 0 3
10 4
2 0 2
1 2 2
1 1 2
2 2 0
0 2 0
2 1 1
0 1 1
0 2 2
2 2 1
2 1 2
10 6
0 2 1
0 2 0
4 4 1
1 4 5
1 2 1
2 0 0
0 4 5
5 2 4
4 4 2
4 1 5
10 7
1 2 2
2 1 2
2 1 3
2 3 1
2 2 0
1 2 0
2 2 2
3 2 0
0 1 0
2 0 2
10 2
0 3 2
1 3 1
2 1 2
3 3 0
0 3 3
2 3 2
2 3 0
1 3 3
0 0 2
0 2 2
10 6
1 4 2
2 0 3
2 3 3
4 4 1
4 2 1
2 2 3
4 4 3
1 4 4
2 4 0
1 1 0
10 9
2 1 2
1 3 1
3 0 3
0 0 2
2 2 1
0 1 0
0 2 0
1 1 0
1 1 1
2 3 1
10 4
2 2 1
0 2 2
0 1 2
1 2 0
0 1 1
2 1 2
0 0 1
2 0 0
0 2 1
2 0 1
10 2
2 5 1
1 5 5
1 2 0
4 1 3
4 5 3
4 2 4
1 2 4
2 5 5
3 3 4
1 0 5
10 6
3 4 3
0 1 2
0 1 4
3 0 4
2 2 2
3 3 1
1 4 2
1 3 3
1 0 4
4 4 0
10 4
1 1 3
3 3 2
0 3 3
2 0 1
1 1 1
1 2 3
2 1 0
2 3 3
3 3 0
0 1 1
10 3
1 0 1
0 0 0
2 1 4
0 0 2
4 1 2
2 2 4
0 4 0
1 3 2
0 1 0
2 4 4
10 2
1 1 2
1 1 0
0 1 0
1 0 0
2 0 2
2 1 0
0 1 2
0 2 2
1 2 0
1 2 2
10 6
3 1 2
2 0 2
2 3 0
3 1 3
0 0 1
1 2 2
2 2 1
2 1 1
2 2 3
3 2 3
10 9
1 0 0
2 2 0
0 0 0
0 1 1
1 1 0
0 0 1
2 1 1
2 0 0
2 0 1
0 2 1
10 3
4 2 1
2 0 2
4 4 0
0 0 2
2 2 3
3 4 3
2 4 3
1 4 0
1 1 3
4 0 4
10 3
0 2 2
2 2 1
2 0 1
0 0 2
1 2 2
0 2 0
2 1 0
1 1 1
1 0 1
1 0 2
10 3
0 1 4
3 1 4
1 2 4
1 1 2
4 2 2
4 4 3
1 2 0
1 1 1
0 1 3
0 1 1
10 8
1 4 0
5 0 1
0 1 5
2 3 2
2 5 3
5 1 0
0 0 5
4 0 5
4 1 5
0 1 4
10 6
2 1 1
0 2 3
2 1 3
3 2 0
0 1 0
0 2 1
3 1 3
3 2 2
0 3 3
2 0 3
10 7
2 2 3
4 3 4
1 2 1
0 1 3
3 1 2
4 4 0
0 2 2
1 4 2
1 4 0
2 2 1
10 5
3 5 3
0 2 1
0 1 4
2 4 0
5 5 2
1 4 2
4 3 5
4 0 4
3 0 0
1 5 5
10 6
2 1 3
3 3 0
2 2 1
0 3 0
1 3 2
1 2 3
2 0 0
1 0 2
3 1 0
3 3 2
10 4
1 3 2
3 1 1
2 0 1
2 3 2
3 0 2
0 1 2
0 1 1
3 1 3
3 3 0
3 2 3
10 7
3 3 0
1 0 3
0 3 3
3 2 0
0 2 2
1 3 2
2 2 0
1 0 0
0 1 1
1 3 0
10 5
1 0 2
1 2 0
0 0 1
1 1 1
2 3 1
2 3 0
3 0 2
3 3 0
2 2 0
3 3 3
10 6
1 1 1
0 1 1
0 0 2
1 1 0
1 0 1
2 2 1
2 1 0
0 2 2
2 0 2
0 1 0
10 7
0 0 1
0 0 3
0 2 1
0 1 2
4 4 2
0 0 0
0 1 0
1 4 3
2 1 2
0 2 3
10 8
0 2 3
1 3 2
3 1 1
2 1 0
2 1 3
1 0 1
0 2 2
0 0 2
3 3 3
2 2 1
10 6
5 2 4
4 2 5
1 1 2
4 4 0
3 0 5
0 1 4
5 2 5
4 1 0
0 2 0
1 4 3
10 2
0 2 2
0 1 0
1 0 2
1 2 2
2 2 1
1 1 0
1 1 1
2 1 0
1 0 1
0 1 2
10 6
1 3 3
3 4 1
1 1 1
0 0 3
0 0 0
4 2 2
4 2 3
0 4 0
2 4 2
0 1 3
10 7
1 0 0
2 1 2
0 1 0
0 0 2
0 2 0
1 0 2
1 2 1
0 2 2
0 0 1
0 0 0
10 2
1 5 4
0 3 5
3 3 1
5 4 5
2 4 5
4 5 4
0 3 1
5 1 0
0 5 2
5 5 2
10 4
0 0 2
3 1 0
2 3 2
2 2 3
5 5 4
4 2 5
2 2 5
3 3 5
3 2 3
1 4 2
10 3
4 3 5
4 4 3
1 5 3
3 0 2
1 0 5
4 3 0
3 5 4
0 5 1
0 2 2
0 5 5
10 9
2 2 0
0 0 1
1 2 2
1 0 1
0 1 1
1 2 0
1 0 2
2 1 0
0 2 2
0 0 2
10 3
3 5 5
1 5 5
4 0 2
5 4 5
4 2 0
1 3 2
2 4 3
4 3 4
2 3 3
1 0 0
10 5
4 3 2
1 1 3
4 4 0
1 4 2
4 4 2
1 1 1
2 0 1
4 1 4
2 3 0
0 4 4
10 2
4 0 0
0 0 0
0 4 0
4 2 4
0 1 2
2 4 0
1 2 1
3 2 2
4 0 4
4 0 2
10 2
0 0 4
1 2 1
0 0 3
1 3 3
3 1 2
2 0 0
4 3 2
4 0 0
4 0 1
4 0 4
10 8
0 2 1
3 1 2
0 1 2
0 2 2
2 1 2
4 3 5
5 5 4
2 3 5
3 4 5
0 0 1
10 8
0 0 2
1 0 0
2 1 2
2 2 2
0 2 1
1 1 0
0 1 0
2 2 0
2 1 1
0 1 2
10 7
2 1 2
0 2 1
1 2 1
2 2 1
0 0 2
1 0 0
1 0 1
2 0 1
2 1 1
0 1 1
10 2
5 0 1
4 1 0
0 1 2
1 2 0
1 3 0
0 0 4
1 0 2
2 1 4
1 2 2
3 5 1
10 7
3 1 3
4 4 1
0 2 2
5 4 3
1 2 4
2 2 2
5 1 3
0 2 1
2 2 3
2 5 0
10 8
1 1 0
2 0 1
2 2 1
1 2 0
0 2 2
2 1 2
1 0 1
1 0 2
1 2 2
0 2 0
10 6
2 2 1
0 1 1
1 1 1
0 2 1
1 1 2
0 2 0
2 0 1
1 0 0
2 2 2
2 1 2
10 3
4 2 2
2 4 2
4 1 4
0 0 5
2 3 2
4 1 0
0 3 5
3 5 2
0 5 5
1 0 0
10 3
3 4 3
2 2 0
4 0 5
2 2 5
5 3 0
1 4 3
4 3 1
4 4 5
5 1 4
0 2 3
10 5
0 0 0
1 3 1
1 1 3
3 1 1
2 2 2
2 3 0
3 3 0
3 2 1
1 0 2
3 2 0
10 4
0 1 2
2 2 0
0 2 1
2 0 2
0 0 0
0 2 2
2 0 1
1 0 1
2 2 2
2 0 0
10 9
1 1 0
3 2 4
0 2 2
1 3 3
3 3 3
0 1 2
3 1 1
4 0 3
2 2 0
1 2 1
10 4
0 0 3
1 1 1
3 2 1
3 3 2
2 3 0
3 3 0
2 1 3
1 0 3
0 1 2
1 2 2
10 3
1 2 3
3 3 1
1 0 1
1 2 2
2 0 1
2 2 0
3 3 2
2 2 2
3 0 0
3 2 0
10 6
1 1 0
0 0 2
1 0 0
2 1 0
2 0 1
2 1 2
0 2 0
0 0 0
2 0 0
0 1 1
10 6
3 1 2
4 0 0
2 4 4
4 4 1
4 3 2
1 4 4
0 1 2
3 3 4
0 3 1
3 4 0
10 2
1 1 2
1 0 1
1 1 0
2 1 0
0 0 0
2 0 1
0 2 1
0 1 1
1 0 0
2 0 2
10 5
2 0 0
1 0 2
0 0 0
2 0 2
0 2 1
2 1 2
0 2 2
1 0 0
1 1 2
2 2 2
10 9
4 1 5
0 1 3
3 0 3
5 2 0
5 5 5
1 1 4
1 1 3
3 0 1
5 3 5
5 3 1
10 6
0 2 1
1 2 0
0 0 1
0 0 2
1 1 1
2 0 1
2 1 2
0 2 0
1 2 1
1 2 2
10 9
0 1 1
3 2 4
0 0 4
3 0 2
1 1 3
1 4 1
1 4 0
2 2 0
2 4 2
1 1 2
10 5
3 3 0
0 2 2
3 4 4
2 0 2
2 4 3
2 0 0
0 1 4
2 4 0
2 3 0
4 0 1
10 5
1 0 1
2 0 1
0 0 2
2 0 2
1 1 1
2 2 0
1 1 2
1 1 0
1 2 1
0 2 0
10 7
5 5 3
2 0 1
0 0 4
3 2 0
1 1 1
5 1 4
5 1 1
5 4 1
2 1 3
3 0 5
10 3
1 0 1
1 2 0
2 2 0
1 1 2
2 1 0
0 1 1
0 0 0
0 0 2
1 2 1
2 0 2
10 8
2 1 4
4 3 1
2 1 0
3 3 1
2 4 3
0 0 4
4 4 4
0 3 4
2 2 3
3 4 0
10 3
3 0 1
1 3 0
0 2 0
2 0 0
2 3 0
2 1 4
3 4 1
4 1 4
2 1 0
3 1 1
10 6
2 1 0
1 2 0
0 2 0
0 0 2
0 1 1
0 1 0
1 1 0
1 2 1
2 2 1
2 1 1
10 7
0 2 0
1 0 1
1 1 2
1 2 2
1 1 1
2 0 0
0 0 2
1 0 0
0 0 0
1 0 2
10 9
3 1 1
2 2 3
1 2 0
0 4 3
1 0 3
4 4 3
2 4 3
0 3 3
1 1 1
4 2 1
10 5
1 1 3
1 1 0
2 0 0
1 0 2
3 1 0
2 2 0
2 2 2
1 3 0
1 2 2
2 2 3
10 3
0 3 0
3 1 3
2 1 3
3 1 1
0 0 0
2 0 3
3 0 3
1 2 3
3 3 2
0 2 3
10 3
0 1 0
2 3 0
0 0 1
2 2 2
1 3 3
3 3 1
3 2 3
2 1 0
2 1 3
1 0 1
10 8
1 0 2
1 2 0
1 2 2
1 0 1
2 1 2
0 2 2
1 1 0
2 0 0
2 0 1
2 2 2
10 6
3 1 3
3 3 1
3 4 1
2 1 4
2 3 1
1 3 2
3 3 2
0 3 0
2 2 0
3 1 4
10 7
4 2 3
5 2 5
0 0 0
1 4 5
4 4 1
1 3 2
1 4 2
2 0 2
1 0 0
2 4 4
10 9
1 2 0
1 2 1
0 0 0
1 0 0
1 2 2
2 2 1
2 1 0
2 0 2
0 0 2
1 0 2
10 6
1 3 0
0 0 4
5 0 4
5 1 1
1 5 1
3 1 0
4 5 2
5 1 5
3 3 2
3 2 4
10 3
2 0 1
4 2 4
0 3 4
1 2 3
3 1 0
1 4 2
4 3 4
1 2 2
0 0 1
3 2 0
10 8
2 2 2
0 0 1
2 0 0
3 1 0
2 1 3
0 2 3
2 3 1
3 0 1
0 1 1
2 1 2
10 4
0 0 1
2 2 2
2 2 3
0 3 2
0 1 1
1 3 3
1 1 1
2 3 0
3 1 3
3 1 0
10 8
4 1 3
0 3 3
3 0 5
1 4 1
2 1 4
1 3 0
3 2 2
5 5 4
2 2 2
0 1 5
10 2
2 2 2
3 4 3
1 2 2
1 1 0
3 4 0
1 2 0
4 3 2
3 4 1
2 1 3
1 2 1
10 6
2 0 3
3 0 2
1 1 1
3 1 1
3 1 0
3 0 0
3 0 3
2 2 1
2 2 2
2 2 3
10 7
0 1 3
0 0 1
2 0 0
3 3 1
1 1 3
3 2 2
1 2 2
3 1 2
1 3 3
0 1 2
10 6
3 3 3
1 1 0
0 0 2
0 1 3
3 3 0
2 2 3
3 0 2
3 2 1
0 1 1
3 2 2
10 8
1 2 1
2 1 1
3 2 3
3 0 3
2 0 3
1 1 2
0 0 0
3 2 0
2 2 2
1 2 3
10 6
3 1 0
3 3 3
1 3 2
2 2 3
0 0 1
2 0 1
2 0 3
1 0 1
3 2 2
1 1 1
10 6
0 2 1
1 2 1
2 2 2
2 1 2
0 1 2
1 2 0
1 1 1
0 1 1
1 1 0
2 0 2
10 5
1 0 0
1 1 0
1 0 2
2 0 2
2 0 0
2 0 1
2 2 0
1 1 2
0 0 0
0 2 0
10 6
4 2 2
2 0 3
4 0 4
1 4 3
0 4 1
3 2 3
1 3 3
4 1 1
0 1 4
4 1 2
10 3
2 0 3
1 2 1
1 3 0
3 2 0
1 1 4
0 3 3
1 4 2
0 2 4
3 2 1
0 4 2
10 5
0 1 4
5 5 5
4 2 1
0 4 4
4 2 4
1 0 0
5 2 0
4 1 2
2 5 0
3 0 5
10 4
1 1 0
2 1 2
0 2 0
0 0 2
1 1 1
2 0 1
1 2 2
2 2 2
1 0 1
2 1 1
10 8
0 3 3
3 2 4
4 0 4
3 5 0
3 5 4
4 5 5
4 3 4
3 3 4
3 0 1
5 5 1
10 8
1 2 1
1 0 0
0 0 0
2 2 0
1 2 2
2 2 2
0 2 1
1 0 1
2 1 2
0 1 0
10 5
2 2 2
2 2 0
2 2 1
2 0 1
0 2 1
1 0 1
1 1 0
0 0 2
1 2 1
0 0 1
10 5
3 1 0
3 3 3
0 0 0
2 1 0
2 2 3
2 1 3
0 1 1
0 3 1
2 2 0
3 0 1
10 6
2 0 3
4 0 3
0 2 3
3 1 3
0 0 4
4 4 3
2 4 4
4 3 3
4 1 1
2 4 0
10 3
1 1 2
1 2 0
1 0 1
2 2 0
0 2 0
2 2 2
2 2 1
1 0 2
2 1 2
0 2 2
10 8
4 3 3
3 1 0
3 3 4
1 2 0
0 0 3
3 2 1
1 0 0
4 1 0
0 0 4
4 2 1
10 3
2 0 1
1 1 4
0 4 2
4 2 3
3 4 0
1 1 1
1 2 3
4 4 0
1 2 4
3 1 3
10 3
1 2 1
0 1 0
2 2 0
1 2 2
2 2 1
0 2 1
2 0 2
1 1 0
0 0 1
0 1 1
10 9
4 2 3
4 4 4
4 1 3
3 0 4
0 0 2
0 0 0
4 1 4
1 1 0
3 1 0
3 4 2
10 2
0 0 1
4 0 4
3 3 0
4 1 1
0 1 1
2 4 1
0 4 4
4 2 1
0 0 0
4 3 2
10 8
0 2 1
1 2 0
0 2 2
2 0 3
2 1 0
0 1 3
2 0 2
1 1 2
2 1 2
0 0 1
10 5
1 2 2
2 3 2
3 1 3
3 3 1
2 2 2
3 2 2
0 0 0
2 0 0
3 2 3
1 1 3
10 4
3 2 3
4 4 0
0 0 0
3 2 4
3 3 2
4 2 3
1 3 0
2 1 0
4 2 0
1 0 3
10 8
2 2 3
4 4 0
2 0 0
3 2 0
3 1 3
3 4 3
3 0 2
2 3 0
0 2 1
0 0 2
10 4
3 1 2
0 2 2
2 0 1
2 3 2
2 0 0
0 3 2
0 3 0
0 3 1
0 1 0
1 1 1
10 5
2 0 3
1 3 0
0 2 3
1 3 1
1 0 2
2 3 3
3 2 0
1 0 1
1 2 0
0 0 0
10 4
0 0 1
1 2 2
0 1 0
2 2 1
2 2 0
0 0 0
1 1 0
2 1 1
0 1 2
0 2 1
10 5
0 3 3
3 1 2
1 0 3
0 3 1
2 2 3
3 1 3
3 0 1
1 1 3
1 3 3
1 1 2
10 8
1 4 1
5 5 1
4 3 4
0 3 0
3 1 2
4 1 4
1 2 4
2 4 0
0 4 1
2 0 3
10 5
1 4 4
2 1 2
1 2 0
4 4 0
1 3 2
1 3 4
0 0 2
0 4 0
3 1 2
2 2 3
10 5
3 3 2
0 2 1
0 0 0
2 2 3
2 0 0
3 2 0
0 2 0
3 0 1
1 0 1
3 0 0
10 2
0 2 2
3 0 1
2 4 0
2 3 1
4 0 1
3 4 0
1 3 1
2 2 1
0 3 1
0 0 4
10 3
2 1 2
3 3 1
0 1 0
0 2 2
3 0 1
0 2 1
1 2 3
3 0 2
3 1 2
0 3 0
10 4
1 2 0
2 2 2
1 1 2
1 1 0
2 2 1
1 0 1
2 2 0
1 2 2
0 1 0
2 1 0
10 3
4 4 0
2 4 3
4 4 2
1 3 4
1 0 3
1 5 5
4 5 3
4 5 2
1 4 3
5 2 5
10 5
0 3 1
3 2 0
2 3 4
1 0 1
1 3 3
3 0 0
0 2 4
0 1 2
4 2 1
1 2 2
10 3
0 1 1
0 1 0
2 2 1
2 1 2
1 0 1
1 1 0
0 2 2
2 0 1
1 1 2
2 0 2
10 5
1 2 0
0 1 3
1 3 0
3 3 0
1 2 3
1 3 3
2 2 0
3 2 1
2 0 3
1 0 0
10 8
2 0 1
3 1 3
1 5 5
1 3 3
3 4 4
5 1 5
0 3 2
4 5 4
0 3 0
5 2 1
10 7
1 4 0
1 1 0
1 1 2
3 2 2
2 3 3
4 1 4
1 3 1
1 0 2
3 4 4
0 4 3
10 6
1 2 2
0 2 0
1 1 0
0 2 1
2 1 2
2 1 0
1 1 2
1 0 0
2 1 1
1 2 1
10 4
3 2 3
0 4 0
0 0 2
3 1 2
3 4 2
0 3 3
2 2 0
4 3 0
1 1 1
2 2 1
10 7
5 3 4
3 0 4
5 4 5
1 0 2
0 0 1
2 2 0
3 3 1
5 0 3
4 3 1
2 4 3
10 8
2 2 1
0 3 0
0 2 0
3 1 3
0 1 2
3 2 3
3 2 1
2 2 2
3 3 3
2 1 1
10 4
1 0 2
3 2 2
0 1 0
3 3 2
0 3 3
0 1 3
2 0 0
1 0 3
2 0 2
0 0 3
10 2
2 0 0
1 2 0
1 3 3
0 2 3
1 0 0
1 1 0
3 3 3
2 3 2
0 2 1
3 2 3
10 6
3 2 1
2 3 1
0 3 3
1 2 1
0 3 2
3 3 0
3 0 3
1 0 1
1 1 1
0 0 2
10 6
3 1 1
2 0 1
3 1 2
0 0 1
1 2 3
1 3 2
0 3 0
3 2 0
0 2 2
2 2 2
10 5
1 3 1
3 3 4
4 1 1
0 3 4
2 1 2
0 0 4
2 0 1
0 4 1
4 0 0
4 4 2
10 7
1 2 1
1 0 3
4 1 4
1 2 2
3 0 2
2 3 2
0 0 4
1 0 0
1 4 0
3 0 1
10 4
5 1 1
5 4 5
4 5 1
5 2 2
5 0 5
3 0 2
4 3 5
2 0 1
0 1 2
0 0 5
10 6
5 5 4
0 2 2
0 5 4
4 1 2
4 5 3
3 4 3
1 0 3
5 3 2
5 1 0
2 5 5
10 8
3 1 1
0 3 5
1 3 1
0 1 5
1 2 2
2 4 1
3 4 0
2 5 1
4 5 2
0 5 3
10 7
0 0 2
0 1 2
2 1 2
0 3 2
1 0 3
2 1 1
0 3 3
3 0 0
0 0 3
2 2 1
10 8
5 2 0
1 2 4
5 1 0
0 4 5
0 5 0
2 2 0
5 1 5
3 3 5
0 5 5
1 0 2
10 3
0 0 2
0 2 2
1 1 0
1 1 2
1 2 2
2 0 2
0 0 0
0 1 2
1 2 0
1 0 1
10 6
2 3 2
0 2 3
2 2 1
0 0 3
0 1 2
3 2 3
0 0 2
2 0 1
3 1 1
1 0 1
10 9
2 2 0
0 3 0
1 1 1
3 0 2
3 3 2
2 1 3
1 2 2
1 3 2
0 2 0
0 0 2
10 7
4 5 4
2 1 4
1 3 1
0 5 0
2 5 3
5 4 3
4 1 0
1 5 0
0 1 1
2 4 0
10 4
1 0 2
3 2 0
0 1 2
2 1 1
3 1 1
1 1 3
1 1 2
3 1 2
0 3 3
1 0 1
10 8
2 3 1
1 3 0
2 1 2
2 3 3
0 0 3
1 2 1
3 2 1
3 2 3
0 1 0
3 3 3
10 6
0 1 2
2 0 2
0 2 1
0 0 2
2 1 1
0 1 0
2 1 0
1 1 0
1 2 0
2 2 2
10 4
2 2 1
1 0 2
2 1 1
2 0 0
2 0 2
2 1 0
0 0 1
0 2 1
2 1 2
1 1 0
10 4
1 0 1
3 1 3
4 2 1
4 4 3
3 0 3
1 3 1
3 0 0
2 3 4
4 2 0
4 3 3
10 9
4 3 2
3 3 3
0 4 4
4 3 0
0 0 3
0 1 0
2 0 2
0 4 1
2 4 4
1 4 3
10 3
3 3 0
4 3 4
1 3 0
3 2 0
2 1 1
1 1 1
4 2 1
2 0 1
3 1 2
2 4 3
10 5
1 0 0
2 1 0
2 2 1
0 0 1
1 1 2
1 1 1
1 0 2
1 1 0
2 2 2
2 2 0
10 3
2 3 2
3 0 2
0 3 3
1 2 0
2 0 2
0 2 0
1 1 3
2 1 3
1 1 0
1 0 2
10 5
3 4 2
4 1 3
1 0 1
0 0 4
0 4 1
1 1 3
4 2 1
4 4 1
3 2 0
1 0 2
10 4
4 4 3
3 3 4
0 0 1
3 4 2
4 4 2
3 2 1
1 1 0
2 3 4
2 2 2
1 2 2
10 8
1 0 1
2 1 1
0 1 1
1 0 2
0 2 2
1 2 0
0 0 0
0 0 1
0 2 1
2 2 2
10 9
0 3 0
2 1 2
4 3 1
4 3 3
3 2 2
3 0 4
2 2 1
0 1 3
4 3 2
3 3 0
10 3
3 1 1
0 2 0
3 3 1
1 4 4
2 0 2
2 1 0
4 4 4
3 1 2
5 2 5
3 1 4
10 3
1 0 1
1 1 1
0 1 2
1 0 2
2 0 0
0 1 1
2 2 0
2 0 1
1 2 0
1 1 0
10 6
2 2 1
2 0 1
0 0 1
0 0 2
2 1 0
1 2 1
2 0 2
1 0 1
0 1 1
0 2 1
10 8
1 0 2
1 3 3
2 1 2
1 1 3
3 2 3
0 3 1
2 1 1
2 1 0
3 3 3
3 3 1
10 8
2 3 4
3 0 0
1 0 2
4 3 2
1 1 4
2 0 2
3 3 1
2 4 2
0 3 4
2 3 3
10 4
3 2 1
3 1 2
3 3 2
3 2 0
1 1 3
3 1 1
0 3 3
3 1 3
3 3 3
2 1 3
10 5
1 0 2
3 1 3
3 2 0
1 2 2
2 0 2
3 3 1
0 1 0
0 0 1
2 0 3
1 1 2
10 9
3 3 2
4 3 3
3 0 1
2 3 1
4 2 1
1 4 2
4 2 0
1 4 1
2 4 1
3 1 0
10 9
4 3 1
0 0 3
3 1 2
1 3 2
4 1 3
1 4 3
2 0 0
3 3 2
0 0 0
4 2 1
10 4
2 3 1
0 2 0
0 0 5
5 2 0
2 5 0
3 2 2
4 5 4
2 4 4
5 4 3
3 2 4
10 7
2 1 1
1 2 0
1 0 0
1 2 1
0 1 1
0 1 2
1 2 2
0 2 2
2 2 0
0 0 0
10 7
1 4 0
1 4 3
0 0 1
2 0 3
0 4 3
4 0 3
4 3 4
3 1 2
4 0 1
4 4 3
10 5
1 1 1
2 1 0
1 1 3
0 2 3
1 2 1
2 2 3
3 1 3
0 0 3
2 0 2
3 3 2
10 4
2 0 2
0 2 1
4 0 4
4 0 1
0 0 0
1 4 4
4 4 4
0 2 4
4 1 2
3 3 1
10 6
3 5 0
2 4 1
3 0 2
1 2 1
1 3 4
3 3 4
5 4 2
1 1 2
4 2 4
4 4 2
10 6
4 5 4
4 3 1
5 4 5
1 0 0
4 3 3
1 5 2
3 5 3
2 2 3
4 0 4
5 0 2
10 9
3 0 2
4 4 2
3 4 4
0 2 0
1 4 2
4 0 2
1 3 1
3 0 0
2 1 2
1 4 3
10 5
1 2 1
4 1 0
2 3 1
1 4 3
4 2 1
4 2 2
2 2 4
1 4 0
4 1 3
4 3 3
10 5
2 1 2
1 1 0
0 0 2
0 1 2
1 0 0
1 1 1
0 0 1
0 2 1
1 2 2
2 0 1
10 7
0 1 0
0 2 2
2 2 2
2 2 0
0 0 2
1 0 1
2 2 1
2 1 2
1 0 2
2 0 1
10 7
1 1 5
5 0 2
0 4 4
3 2 5
3 0 5
1 4 1
4 2 3
5 0 3
3 3 2
4 0 4
10 2
1 2 1
2 0 1
2 1 1
2 0 0
1 1 1
1 1 0
1 2 0
0 0 2
0 0 1
2 1 0
10 6
1 0 4
3 1 3
2 1 1
4 2 4
3 0 2
3 1 0
1 3 2
4 3 0
2 1 2
4 4 1
10 5
2 0 2
2 2 1
0 2 2
1 0 1
1 2 2
2 1 0
0 0 2
2 2 2
2 1 2
2 0 0
10 9
4 4 4
1 4 0
1 2 2
3 3 0
3 0 3
4 4 3
4 0 1
0 0 1
4 0 4
1 4 2
10 4
2 0 2
2 1 0
0 1 1
1 2 0
1 1 1
2 1 1
0 2 0
0 1 2
0 2 2
0 2 1
10 7
1 1 2
0 1 0
2 2 0
2 1 1
1 0 2
1 2 1
1 2 0
0 2 2
2 0 1
2 2 2
10 6
1 1 2
4 1 2
0 5 4
0 4 0
2 4 0
1 0 5
1 4 2
0 5 0
3 0 2
2 0 1
10 7
3 1 0
3 0 4
2 2 1
1 1 1
4 4 2
2 0 4
4 3 4
1 1 3
3 3 0
2 2 0
10 7
0 3 2
0 5 0
1 5 4
1 4 5
5 2 0
2 5 2
5 0 1
1 5 2
2 4 1
5 3 3
10 9
1 1 3
0 0 0
0 2 0
1 1 2
3 1 3
3 0 3
0 0 1
3 3 0
1 2 3
2 1 0
10 8
4 4 4
3 0 4
1 2 4
3 1 2
1 3 1
4 1 4
3 0 2
4 1 1
1 2 1
1 0 3
10 8
2 1 2
0 1 0
2 0 2
1 0 0
2 1 0
1 2 2
1 0 2
0 0 2
2 0 0
1 2 0
10 5
5 3 1
3 3 0
1 0 0
3 4 1
2 2 5
5 0 2
1 0 1
3 0 5
0 3 1
0 1 2
10 8
0 0 3
4 4 2
3 1 1
4 1 3
0 4 0
1 0 4
1 4 2
0 2 2
1 4 1
2 4 2
10 8
5 3 2
2 5 0
3 2 1
0 2 5
5 3 1
1 0 1
5 5 3
2 5 2
3 3 3
1 2 4
10 7
1 0 1
1 4 4
2 1 3
1 1 1
3 4 0
3 0 2
2 1 0
0 0 2
2 0 4
1 0 4
10 4
1 3 1
2 2 3
3 2 3
3 1 1
2 0 2
2 0 0
1 1 3
2 3 0
1 0 0
0 3 2
10 3
2 1 0
1 3 1
3 0 0
3 1 1
1 3 3
3 3 2
2 2 1
1 1 1
0 2 0
1 2 3
10 6
4 1 3
5 1 4
2 2 5
2 3 4
4 5 0
4 3 5
3 4 0
0 1 1
3 4 3
1 0 4
10 3
2 0 2
1 2 2
0 2 1
0 0 0
2 0 0
1 0 0
1 2 1
0 1 2
0 1 0
1 2 0
10 4
1 4 1
0 2 0
4 4 4
0 0 2
2 0 2
0 0 4
4 2 2
3 3 4
1 2 1
3 2 0
10 8
1 2 2
3 0 0
0 0 2
0 2 2
3 0 2
1 0 0
0 3 0
2 3 0
1 3 3
0 0 3
10 6
1 1 2
2 1 1
1 1 0
1 0 0
2 1 2
2 0 0
0 2 2
2 2 1
2 2 2
0 2 1
10 9
2 3 3
3 2 2
4 0 1
1 4 1
4 2 3
1 2 1
2 2 1
0 3 0
2 4 0
4 2 4
10 6
2 3 2
2 0 0
0 3 0
2 1 1
3 3 2
2 2 0
1 3 1
0 1 2
1 2 0
3 0 3
10 3
2 3 1
0 1 0
3 2 1
1 0 1
0 3 3
1 1 2
1 2 0
0 1 3
0 2 2
3 2 3
10 7
1 3 5
1 5 2
3 5 2
0 1 5
4 2 4
4 3 5
3 4 2
0 0 1
3 2 4
0 0 4
10 4
4 3 1
4 0 3
4 4 1
4 4 3
0 0 4
4 1 3
0 2 1
2 0 3
2 3 4
3 2 3
10 7
5 2 5
1 5 1
0 3 4
4 2 1
0 5 4
3 4 3
4 5 4
3 1 1
3 2 3
1 2 2
10 6
2 2 1
1 0 2
2 3 3
3 2 4
4 1 0
4 0 3
3 2 0
0 4 1
2 4 0
0 2 1
10 6
4 4 5
1 3 0
4 4 4
3 1 0
1 3 2
4 1 1
3 5 1
2 4 0
4 1 4
0 2 0
10 6
4 4 4
2 3 2
4 4 3
2 0 0
1 4 1
0 3 1
4 0 0
0 0 0
1 0 0
0 1 2
10 7
1 1 2
2 2 0
0 2 0
0 0 0
0 1 0
0 2 2
2 1 1
0 1 2
1 2 2
1 2 1
10 5
1 5 4
3 0 5
0 3 4
3 2 0
4 4 1
1 2 4
3 3 1
1 2 3
2 4 0
2 4 3
10 6
4 0 1
2 0 4
5 5 0
2 2 0
3 5 2
1 1 4
3 5 5
4 5 5
3 0 1
5 1 2
10 5
3 2 1
3 0 2
0 3 0
3 0 1
1 1 2
1 2 1
2 3 1
2 2 3
1 0 1
0 3 1
10 8
2 1 3
2 3 2
0 0 3
0 1 3
1 1 0
2 0 2
1 1 3
3 0 3
1 0 1
2 0 3
10 6
0 0 3
3 3 2
2 2 3
2 3 2
2 0 3
3 1 3
3 2 0
3 2 2
2 3 3
1 0 0
10 3
0 1 2
0 0 1
0 1 0
2 2 1
0 0 2
2 1 1
0 2 0
2 1 0
2 0 0
2 1 2
10 6
0 2 1
1 2 0
2 0 1
0 1 2
1 2 1
0 0 2
1 1 1
2 0 0
1 0 2
2 1 0
10 5
5 4 3
2 5 4
1 3 3
2 5 5
3 0 3
2 3 5
2 0 2
1 4 2
0 2 3
4 3 1
10 6
0 3 1
0 2 0
3 2 0
0 3 2
0 1 3
2 0 0
2 1 0
1 1 0
3 0 3
3 1 1
10 2
2 2 0
0 1 0
0 1 1
1 0 2
0 0 1
1 1 1
0 2 0
0 0 0
0 2 2
1 1 2
10 3
4 0 1
4 4 5
5 1 4
0 5 4
5 4 5
3 5 3
4 5 0
1 1 5
3 1 1
2 0 0
10 9
0 3 3
2 0 2
1 3 2
4 2 1
0 0 2
2 0 0
2 1 2
3 4 1
4 2 3
2 3 4
10 2
1 4 0
0 2 3
2 3 2
1 4 2
3 4 3
1 0 4
1 2 0
4 2 4
4 1 0
1 2 3
10 8
4 5 5
5 4 2
2 4 2
4 4 2
3 3 5
1 0 2
5 1 5
4 4 3
5 1 1
5 0 1
10 2
2 1 2
1 0 2
0 2 1
0 2 2
2 2 2
0 0 2
1 2 0
0 1 1
0 2 0
1 1 0
10 2
3 0 3
0 0 3
0 1 2
4 3 2
3 0 1
2 3 4
2 0 0
0 4 3
0 4 0
3 1 0
10 8
2 0 0
0 1 1
2 1 2
0 2 3
3 0 0
4 0 4
0 0 0
3 2 1
4 4 1
1 0 4
10 4
2 2 0
0 0 1
2 0 2
1 1 1
2 1 1
1 2 0
0 1 2
1 0 1
2 2 2
1 0 0
10 2
0 3 0
4 1 3
3 3 2
5 3 1
0 5 0
3 0 0
2 4 1
1 4 1
0 5 4
5 1 5
10 5
0 1 2
1 2 2
3 1 2
3 0 3
0 1 1
3 3 0
3 2 0
1 1 1
1 3 2
1 1 3
10 4
0 3 1
1 2 5
2 4 1
2 4 3
4 2 4
2 5 1
2 3 3
0 2 5
5 2 2
0 4 0
10 6
4 2 1
3 2 3
2 0 1
3 0 3
2 4 4
0 2 1
3 0 4
3 0 0
3 1 0
0 1 4
10 5
0 2 5
4 1 0
2 1 2
2 2 1
0 2 0
2 5 2
1 5 0
4 4 4
3 2 1
3 1 3
10 5
3 0 5
4 4 5
1 3 1
1 0 0
2 2 5
0 1 4
5 4 1
2 1 3
4 2 2
5 0 1
10 6
3 3 2
1 1 0
1 4 4
1 4 3
0 4 1
0 1 1
2 0 4
1 0 0
2 3 2
2 1 1
10 2
2 2 1
1 2 0
0 0 0
2 1 1
1 0 1
0 2 1
0 2 0
0 0 1
2 0 1
2 0 2
10 3
1 2 1
0 1 2
3 3 3
2 1 0
2 3 1
0 0 0
2 2 2
0 1 1
0 2 0
0 1 0
10 7
4 3 2
1 3 2
2 2 1
2 2 3
1 2 2
2 1 0
1 1 3
2 3 3
4 1 1
3 2 4
10 2
1 3 0
0 1 4
0 2 4
4 2 4
1 0 4
0 0 1
4 2 1
4 0 4
3 0 2
4 1 4
10 7
2 3 3
3 1 0
1 3 1
0 0 3
0 3 2
1 2 2
2 1 1
0 0 0
0 1 1
2 0 0
10 8
1 1 0
3 3 1
2 2 2
3 3 2
1 5 5
4 1 2
1 2 4
2 2 3
3 3 0
1 4 4
10 7
0 1 2
1 2 0
0 1 1
2 2 0
2 0 1
1 2 1
0 2 0
2 1 1
2 0 0
1 2 2
10 3
5 5 5
0 1 3
1 3 1
1 5 1
5 3 0
4 3 0
1 4 2
1 0 1
5 2 3
5 0 0
10 6
1 0 1
3 1 2
3 0 2
0 5 0
4 4 0
5 2 2
1 1 2
4 3 1
5 5 1
3 3 5
10 7
0 2 1
1 0 0
2 1 2
1 2 2
1 2 0
1 0 2
1 0 1
0 0 2
1 1 2
2 0 0
10 4
3 3 1
3 0 1
0 3 1
2 3 0
0 3 3
3 0 2
0 1 1
0 0 2
3 2 1
1 1 2
10 5
1 1 0
0 2 0
0 0 0
0 1 1
2 2 2
2 0 0
2 0 1
1 2 0
0 1 2
0 2 1
10 9
2 0 0
0 0 0
1 1 0
0 2 1
0 1 0
1 0 2
1 1 1
2 0 1
0 0 1
1 1 2
10 9
0 1 2
1 2 0
2 1 1
1 0 1
0 0 0
2 0 0
0 0 2
1 0 0
1 1 1
1 1 0
10 9
3 0 1
0 0 2
0 3 0
1 0 0
0 1 2
1 0 3
2 1 2
0 3 3
0 0 0
2 0 2
10 2
1 3 2
5 4 1
4 4 3
2 5 0
5 0 2
2 2 2
3 5 3
2 4 3
4 2 3
1 3 4
10 9
2 0 1
2 1 2
1 0 1
1 2 0
2 0 0
0 1 0
1 1 1
1 1 0
0 0 1
2 0 2
10 5
5 4 1
2 3 0
3 3 0
5 4 4
5 1 2
1 3 2
5 4 5
0 3 1
0 0 4
5 4 3
10 4
0 2 1
2 0 1
0 2 2
2 2 2
1 2 1
0 0 0
2 2 0
2 1 1
2 2 1
0 0 1
10 5
2 3 1
0 1 0
3 2 2
0 1 2
2 3 3
1 3 0
1 2 2
0 3 2
0 0 1
0 3 3
10 4
3 4 2
2 3 1
2 2 5
5 2 1
1 3 1
2 1 4
2 2 2
3 0 5
1 3 3
4 4 5
10 2
3 2 4
1 0 0
0 2 0
0 4 5
4 4 0
4 0 1
0 0 3
2 3 4
4 0 3
5 3 2
10 9
1 2 2
1 1 1
0 0 2
0 0 0
0 1 2
0 2 0
2 1 2
1 2 0
1 2 1
1 0 1
10 9
3 3 0
0 1 3
0 3 3
1 2 0
0 0 3
1 0 2
3 2 2
3 1 0
0 2 1
2 0 1
10 7
1 0 0
0 2 1
0 1 1
0 2 2
0 1 2
2 0 0
1 0 1
1 1 0
0 2 0
2 2 1
10 7
1 3 5
5 0 4
3 3 2
4 2 0
0 5 0
5 5 0
0 4 1
4 5 4
2 0 4
0 5 3
10 8
2 3 1
2 0 1
3 1 1
1 0 0
0 0 2
2 2 2
3 2 1
3 3 3
1 0 3
3 3 2
10 2
4 0 1
1 3 0
3 1 1
2 2 3
3 0 4
1 2 2
4 2 2
4 4 2
2 0 2
3 0 0
10 6
1 0 1
0 1 0
3 1 3
0 0 2
1 3 0
3 2 3
3 3 0
2 2 2
3 1 2
1 2 2
10 7
0 2 1
2 1 1
1 2 1
2 0 0
0 1 2
1 0 2
1 1 2
1 1 0
1 0 1
2 0 2
10 3
1 0 0
1 2 4
3 5 5
0 2 3
0 4 3
4 2 0
3 0 4
5 5 3
1 5 3
2 2 2
10 4
1 0 2
3 4 4
3 0 1
3 3 4
0 1 1
4 4 4
4 4 1
4 2 4
4 1 3
4 1 1
10 4
0 1 0
1 4 1
0 4 2
2 3 1
1 4 2
0 4 1
1 0 0
3 4 0
4 4 1
3 0 0
10 3
1 1 1
0 1 1
0 2 1
0 2 0
0 1 2
2 2 1
1 1 2
0 1 0
2 0 2
2 1 1
10 9
1 2 1
1 2 2
0 3 0
2 0 0
0 0 1
3 2 0
1 1 0
3 2 3
1 0 1
3 1 2
10 5
1 2 1
0 2 1
0 2 0
0 1 0
0 2 2
1 0 1
2 1 1
0 0 2
2 1 2
2 2 1
10 9
0 1 3
2 0 1
3 0 1
1 3 1
1 2 0
1 4 3
3 0 0
3 0 4
4 1 4
0 1 2
10 3
0 0 1
1 0 2
1 0 1
0 1 1
2 1 1
2 0 2
1 2 2
0 2 1
1 1 1
2 0 1
10 6
0 1 2
0 2 0
4 2 3
4 3 0
1 1 2
0 4 4
4 2 2
1 1 4
0 2 4
2 3 1
10 8
4 0 0
1 4 4
0 2 1
2 3 2
4 3 0
1 2 2
0 4 1
0 0 2
4 0 1
3 2 3
10 7
4 1 1
3 2 4
2 0 0
0 1 3
2 0 4
1 3 1
2 3 1
2 1 3
3 3 0
3 1 2
10 2
1 0 3
1 2 4
2 3 1
1 0 4
0 4 0
4 3 4
4 1 0
4 1 3
4 1 4
1 3 4
10 7
0 3 1
0 2 2
3 2 1
0 1 0
2 0 3
3 1 0
0 0 2
1 3 2
1 1 1
2 1 3
10 5
1 4 3
2 2 4
3 2 0
4 1 4
4 0 0
1 4 4
3 2 2
3 3 1
2 1 2
4 2 3
10 6
4 4 3
2 3 3
2 1 5
5 4 5
5 1 4
3 0 2
2 5 0
0 4 2
2 4 1
2 4 5
10 4
3 3 4
5 1 4
1 3 2
2 5 1
4 4 5
2 4 2
1 5 1
3 4 0
4 3 1
2 3 4
10 8
0 3 0
3 1 2
4 3 2
4 4 0
1 0 1
0 4 2
0 2 3
0 2 4
4 1 4
3 2 1
10 2
1 0 2
0 2 0
0 3 2
0 3 3
3 2 3
0 2 3
3 1 0
3 1 2
2 1 1
1 2 1
10 9
3 0 2
2 1 3
4 0 5
3 3 5
0 1 3
4 1 3
0 4 2
0 2 2
0 2 5
5 5 2
10 7
0 0 1
1 0 0
1 0 1
0 1 0
1 2 1
2 0 1
2 1 0
1 2 2
1 1 1
1 2 0
10 6
4 4 2
1 0 1
3 3 5
4 0 1
1 4 0
1 0 3
0 5 1
0 2 0
5 2 2
4 5 3
10 5
3 0 1
3 3 1
1 1 1
0 2 2
1 0 3
2 0 0
1 1 2
1 0 2
0 0 2
0 3 2
10 6
2 1 0
3 0 2
0 0 1
0 3 1
2 2 1
0 1 2
0 1 1
3 0 0
3 2 1
3 3 0
10 5
1 1 2
0 0 2
1 2 2
3 3 0
1 2 1
1 3 2
0 3 3
0 0 0
0 2 0
2 1 3
10 6
4 1 2
1 3 1
0 4 4
0 1 1
3 4 2
1 0 0
0 0 2
3 0 4
2 4 4
3 4 0
10 3
2 1 2
1 3 2
4 2 2
2 4 1
1 0 0
0 0 4
4 1 3
2 3 1
1 2 4
3 4 2
10 9
1 1 2
2 0 2
0 1 1
0 0 1
0 2 1
2 1 1
0 0 0
1 2 0
0 2 2
2 2 0
10 8
1 0 3
4 2 4
1 3 2
0 1 4
5 1 5
1 2 1
1 1 2
5 2 0
3 0 2
3 5 3
10 4
2 2 0
3 2 1
3 1 0
2 2 3
1 2 3
3 0 0
1 1 0
1 1 1
2 2 2
0 2 2
10 4
0 2 3
0 0 3
1 0 1
3 0 0
2 2 0
2 2 1
1 1 1
0 3 3
1 3 3
2 1 2
10 2
0 2 2
2 1 1
1 0 1
2 2 3
0 3 1
3 3 1
0 3 2
1 3 3
2 3 3
3 2 1
10 9
2 5 2
2 0 1
0 2 5
3 1 1
2 4 5
5 4 5
1 1 3
2 0 3
2 4 4
4 2 3
10 9
2 0 1
0 3 3
2 2 2
3 2 1
3 1 1
2 0 3
2 1 2
1 1 2
0 0 2
0 2 1
10 9
3 1 2
3 3 1
2 3 3
2 1 0
3 1 1
1 2 3
0 3 3
1 1 1
1 1 2
3 2 3
10 8
2 1 1
1 1 1
0 2 2
2 1 0
1 1 2
1 2 2
0 0 2
2 2 2
0 2 1
2 0 0
10 2
0 3 5
3 1 1
2 3 4
2 5 5
3 4 4
5 0 0
3 1 4
4 0 0
5 1 3
2 3 0
10 3
1 1 0
0 2 0
2 2 1
1 2 1
0 2 1
2 0 2
2 0 0
2 2 2
1 2 2
2 2 0
10 5
3 4 2
3 1 1
2 2 2
0 2 0
1 3 1
2 0 0
4 1 4
1 1 4
2 0 4
1 1 3
10 7
4 4 0
2 0 3
4 3 2
2 1 1
1 1 4
0 1 1
1 4 0
1 2 2
4 1 0
3 3 2
10 2
2 2 5
3 2 4
5 0 0
5 4 1
4 0 3
5 3 1
4 5 4
3 3 3
0 3 2
4 5 5
10 2
2 1 2
1 0 2
0 1 0
1 1 1
0 2 0
2 1 1
2 2 0
0 0 0
0 0 1
1 2 2
10 8
1 1 1
1 2 3
1 3 1
2 0 3
3 3 0
1 1 0
3 3 2
1 1 2
3 0 2
1 2 0
10 3
0 3 3
2 0 5
3 1 1
3 0 0
2 2 4
2 1 1
2 1 2
4 1 5
1 3 0
4 4 2
10 6
1 4 4
3 2 2
4 3 1
4 3 0
3 4 3
0 1 3
2 3 4
3 1 3
1 1 2
0 3 3
10 9
0 2 0
0 0 2
1 0 2
0 0 1
1 0 1
2 1 0
0 2 2
0 2 1
1 2 0
1 2 2
10 4
0 2 1
0 1 1
1 0 0
0 0 0
1 1 1
1 0 2
1 2 0
2 2 2
1 0 1
2 0 1
10 8
2 0 4
0 1 1
4 0 0
3 3 2
2 2 0
0 3 1
4 0 4
2 3 1
0 4 4
4 2 0
10 7
1 2 3
3 1 3
4 0 3
2 4 3
1 0 2
3 4 1
2 1 3
2 0 0
1 1 0
0 0 3
10 6
1 0 2
0 2 0
2 0 2
2 1 1
0 2 2
0 1 2
0 1 1
2 0 0
2 2 2
2 2 1
10 9
1 2 0
0 5 2
2 2 5
2 3 0
2 5 2
5 0 5
5 0 2
1 4 2
4 2 2
5 1 3
10 7
2 0 1
1 4 4
4 1 3
3 1 3
4 0 4
2 3 1
1 0 2
4 2 2
1 2 3
3 3 4
10 3
2 0 2
1 0 2
2 0 0
2 1 1
2 1 2
2 1 0
0 1 2
0 2 0
1 1 0
1 2 2
10 5
2 4 3
2 3 0
1 4 2
0 2 0
4 0 4
2 2 2
3 4 0
2 2 0
3 3 0
0 0 4
10 3
1 1 3
0 0 3
3 2 3
3 3 2
1 0 3
0 1 1
2 2 0
2 3 1
2 3 3
0 2 1
10 8
4 1 0
2 4 5
0 1 1
0 2 0
3 4 2
0 0 1
5 5 2
4 0 4
4 2 4
4 2 0
10 9
1 1 0
0 0 0
2 1 2
0 1 0
1 0 2
0 1 1
2 2 2
2 1 1
0 0 2
1 2 2
10 6
2 1 1
3 1 4
0 5 4
2 4 4
4 4 3
1 1 0
2 1 0
5 4 5
3 4 1
2 2 3
10 4
0 1 0
1 1 2
2 1 2
2 0 0
2 1 0
2 0 2
0 1 1
2 1 1
0 2 1
2 0 1
10 4
1 2 0
2 3 2
3 2 3
0 1 3
3 2 2
1 3 3
0 2 2
2 1 3
1 3 1
2 2 1
10 2
0 2 2
2 1 1
2 0 2
0 1 1
2 0 1
0 0 2
2 2 1
1 2 1
0 2 1
0 1 0
10 7
2 0 1
0 2 1
2 2 0
0 2 2
0 1 1
0 0 2
1 2 0
1 1 1
0 2 0
2 1 2
10 3
2 2 2
3 0 3
5 5 3
3 2 3
2 3 4
2 2 0
0 0 4
0 2 0
1 3 2
2 5 3
10 8
2 2 0
1 2 2
3 2 1
3 1 1
0 2 1
0 1 2
3 0 0
1 3 3
3 0 2
2 2 3
10 8
4 4 3
5 4 2
3 5 2
5 1 4
0 3 4
0 3 3
1 3 2
2 4 1
5 2 0
3 2 2
10 9
2 0 1
3 0 0
4 3 0
1 4 4
4 3 4
0 0 0
0 4 3
2 3 3
0 3 2
3 3 2
10 5
4 4 0
2 2 4
2 0 2
0 4 1
1 2 2
1 0 2
0 3 4
2 2 2
4 1 0
3 4 4
10 6
0 2 2
1 0 2
1 1 2
1 2 2
2 0 2
0 2 1
2 0 1
2 1 1
1 2 1
0 0 2
10 9
2 1 0
2 0 1
0 1 2
1 1 1
2 2 0
1 1 0
2 2 2
1 1 2
1 2 0
0 2 1
10 8
3 3 0
0 0 0
4 4 4
4 1 3
3 1 4
3 2 3
2 0 1
1 1 3
3 4 2
0 3 0
10 2
1 0 0
1 3 1
0 1 3
1 0 3
0 0 2
3 2 3
0 0 1
0 1 0
0 2 2
3 2 2
10 8
0 3 4
5 3 5
3 0 5
1 5 0
4 5 2
0 2 4
3 1 2
0 5 0
1 1 1
1 0 3
10 9
1 3 1
0 0 2
2 1 2
2 0 1
2 3 3
2 1 0
1 3 0
1 2 2
0 1 1
3 3 1
10 9
5 5 2
5 2 5
4 0 4
1 0 0
2 2 2
0 3 3
1 2 5
2 4 0
5 2 1
2 3 2
10 9
1 1 1
3 1 0
0 1 3
3 0 3
0 1 1
3 2 2
3 0 0
1 0 1
2 3 2
1 2 3
10 3
3 0 0
3 3 2
3 0 3
2 3 0
2 1 2
3 2 0
1 2 3
3 0 1
1 1 1
0 3 2
10 3
2 4 4
3 4 4
2 3 3
3 1 4
1 4 2
0 2 4
0 0 0
4 1 4
0 1 3
1 1 4
10 2
0 3 1
2 0 0
0 0 2
1 1 3
3 2 3
1 1 1
1 3 2
1 1 2
2 1 0
1 0 3
10 2
3 0 0
1 3 0
0 2 0
2 0 1
2 3 1
3 3 0
1 3 1
1 1 1
1 1 3
2 3 2
10 6
2 1 1
3 2 0
3 1 0
0 1 2
2 0 3
2 3 3
1 0 2
1 2 1
0 1 0
3 0 0
10 8
2 1 4
4 5 4
1 1 2
0 2 0
1 1 0
1 5 4
0 1 3
1 5 2
0 0 2
0 4 2
10 2
2 3 1
1 3 0
1 3 3
1 1 0
0 1 1
1 1 3
2 1 1
2 0 1
2 3 0
0 1 2
10 6
0 0 1
2 0 2
1 1 0
1 0 3
0 4 1
3 1 4
4 4 4
2 1 1
3 0 3
4 0 1
10 5
2 0 1
3 3 3
2 1 0
2 0 0
1 3 2
2 2 2
1 1 0
3 2 1
3 2 0
1 0 1
10 3
0 2 3
3 0 2
0 1 0
2 1 1
3 3 1
3 1 0
3 0 3
1 1 3
3 2 1
3 3 0
10 2
0 2 1
1 1 2
0 0 2
0 1 1
1 2 0
2 1 2
2 2 0
2 2 2
0 0 0
2 0 1
10 9
0 0 0
2 0 3
1 0 1
0 2 0
1 0 2
2 0 1
2 2 0
2 1 3
0 2 3
2 3 2
10 2
1 2 4
2 1 2
2 3 4
0 1 4
1 0 3
2 3 1
0 1 1
2 0 0
2 1 1
0 0 1
10 4
2 1 2
1 0 2
1 0 1
2 2 0
0 0 1
1 2 1
0 2 1
1 1 2
0 2 2
2 2 2
10 6
4 4 3
1 3 1
2 0 1
0 0 0
4 1 3
0 1 3
0 3 1
2 0 3
2 3 4
4 2 2
10 4
1 1 4
0 2 2
1 1 2
2 2 0
2 0 0
0 4 4
3 3 0
1 2 1
2 4 3
1 0 4
10 7
4 0 1
0 1 1
0 0 3
4 2 2
0 2 0
0 3 3
3 2 4
1 0 3
1 1 4
0 4 1
10 9
1 3 1
0 0 3
0 2 4
4 1 4
3 4 3
4 1 3
3 3 4
0 3 4
3 1 3
3 1 2
10 4
5 1 1
2 5 0
3 1 1
0 3 0
1 0 4
5 2 3
5 4 0
3 0 2
2 4 0
3 0 3
10 9
0 2 0
2 0 2
1 1 0
1 1 2
0 1 0
1 0 0
2 1 1
0 0 2
0 0 1
1 2 0
10 6
1 4 5
4 4 2
2 2 5
3 4 1
5 0 5
5 2 2
3 1 5
0 0 2
1 3 0
5 1 5
10 5
0 1 4
5 1 3
1 5 2
0 4 3
1 4 0
2 2 5
5 1 1
0 3 3
0 1 3
0 2 0
10 6
4 4 0
0 0 3
4 1 4
1 1 2
1 0 4
3 1 2
3 4 1
1 0 0
0 3 0
4 0 1
10 8
4 1 4
1 2 1
4 4 2
1 2 2
2 1 3
4 4 0
0 1 3
2 4 4
0 1 1
2 3 3
10 2
3 2 2
2 0 1
1 3 1
3 1 1
0 0 1
2 0 0
0 1 3
0 3 0
2 1 3
2 0 3
10 4
0 2 4
0 2 2
2 3 2
1 2 0
0 3 2
2 0 0
1 4 4
3 0 3
1 2 1
4 1 5
10 3
0 0 0
1 1 2
0 0 1
2 0 2
1 1 0
2 1 1
2 1 2
1 1 1
2 2 1
1 2 0
10 7
0 2 0
3 3 0
3 5 3
3 0 1
3 4 3
5 1 5
3 4 4
0 3 5
4 0 1
3 2 1
10 4
1 2 1
2 1 2
1 2 0
2 1 1
0 2 2
1 1 2
2 2 0
0 1 0
0 0 1
1 1 0
10 5
1 2 0
2 0 2
1 1 1
0 1 3
3 2 1
0 0 1
0 2 0
1 2 3
0 0 0
1 1 3
10 4
2 2 2
1 2 0
0 1 0
1 2 2
0 1 2
1 0 2
1 2 1
0 0 1
1 1 1
0 1 1
10 2
5 0 4
0 4 5
3 0 4
1 4 4
1 1 2
4 3 3
3 3 0
2 2 0
0 2 2
0 3 3
10 4
0 0 0
1 0 1
1 1 2
0 1 1
1 2 1
0 2 1
2 0 2
0 2 2
2 0 0
0 2 0
10 4
2 4 0
3 3 0
3 3 1
3 2 3
1 4 3
0 2 2
1 1 3
1 1 1
2 0 1
2 2 1
10 7
1 1 1
2 2 1
0 2 1
1 0 2
0 0 2
2 0 0
2 2 0
0 1 2
1 2 1
1 1 0
10 3
3 2 2
4 0 1
1 0 3
5 3 0
2 3 1
5 3 3
5 3 5
2 1 3
4 3 1
1 3 4
10 8
0 1 1
1 0 1
0 1 2
1 1 2
1 1 1
2 0 1
0 0 2
0 0 0
2 0 2
1 2 0
10 6
2 0 0
0 3 2
0 0 0
3 3 2
4 1 0
1 0 2
2 1 0
2 0 3
0 2 1
4 0 2
10 7
4 1 1
3 0 4
4 4 0
1 4 1
3 4 2
1 0 1
4 4 1
4 3 3
1 0 4
1 2 0
10 3
1 1 4
3 1 1
0 1 1
3 1 2
4 3 0
1 2 0
0 1 4
1 3 0
3 0 1
3 1 0
10 5
2 2 1
4 4 4
4 4 2
1 3 0
3 0 3
4 1 1
3 4 1
4 4 3
0 4 2
2 0 0
10 6
2 2 3
3 1 3
3 0 2
1 0 1
4 1 0
2 2 2
1 1 0
3 3 3
4 1 4
3 4 4
10 6
2 2 3
0 3 0
0 3 4
4 1 2
1 2 1
4 4 3
4 0 4
3 1 1
4 0 3
1 0 2
10 5
3 2 0
3 1 0
3 0 0
0 1 1
2 1 1
2 3 2
1 2 2
1 0 0
2 3 3
1 2 3
10 6
3 0 2
4 3 4
5 2 3
4 2 5
5 4 2
1 2 3
1 2 2
3 5 1
1 5 1
4 3 0
10 5
0 0 1
0 1 0
1 2 0
1 0 1
1 0 2
2 1 2
0 1 2
2 2 0
2 0 1
0 0 2
10 9
2 1 1
0 0 1
0 2 1
0 0 0
2 0 2
1 2 0
1 0 1
2 2 1
1 0 2
1 0 0
10 2
3 0 0
2 1 2
3 0 1
1 3 1
3 0 3
2 2 3
3 3 0
2 3 2
1 3 2
3 2 3
10 4
1 2 1
2 0 0
0 3 2
5 2 1
1 1 2
3 2 4
5 4 0
5 4 4
5 3 2
5 3 1
10 6
0 0 0
2 2 1
0 2 1
0 1 0
1 2 2
2 2 0
1 2 0
1 1 1
0 0 2
2 0 2
10 2
1 0 1
1 3 3
0 1 3
3 3 3
0 0 3
3 3 1
3 2 2
0 0 0
1 2 1
3 1 2
10 2
1 3 4
1 0 2
2 3 3
2 0 3
0 1 2
2 4 1
1 4 1
2 1 4
2 4 2
3 3 2
10 4
3 2 1
0 3 1
3 3 2
1 1 2
3 2 3
1 2 2
2 0 0
2 2 2
0 3 3
0 1 3
10 7
2 2 0
1 2 2
0 1 2
1 1 0
0 0 1
2 0 2
1 0 0
0 0 0
2 2 2
1 0 2
10 4
4 4 2
3 1 0
3 3 0
4 1 0
2 0 0
3 2 3
4 3 3
4 1 1
3 2 4
2 0 2
10 3
4 1 5
1 4 4
5 1 2
3 2 1
4 4 2
2 2 2
5 4 1
4 3 0
4 0 1
1 1 2
10 3
0 0 2
4 4 0
3 0 4
2 3 3
2 0 1
4 1 1
3 3 1
1 3 0
1 0 1
0 3 2
10 7
3 4 1
4 2 2
2 0 0
4 4 0
1 0 1
2 3 3
4 1 4
3 3 3
0 0 2
3 2 1
10 6
2 0 0
1 1 1
1 0 0
2 1 0
2 2 2
2 0 2
0 1 1
1 0 2
0 1 2
0 0 0
10 3
2 1 0
1 2 2
2 3 3
2 2 1
0 3 1
2 3 2
2 2 0
0 0 2
3 0 3
2 1 2
10 4
3 4 3
2 3 1
3 4 4
1 2 3
0 3 1
0 0 1
2 1 4
2 2 0
4 0 3
4 1 4
10 9
3 2 4
3 0 2
4 2 1
2 1 4
0 0 3
2 4 4
2 1 1
1 0 1
1 2 4
2 2 3
10 3
3 4 2
1 3 3
1 2 0
0 3 0
4 2 0
2 2 2
3 4 4
3 0 1
3 4 3
4 2 1
10 7
0 0 0
1 0 2
2 0 0
0 1 4
4 0 4
3 4 3
1 2 1
0 4 4
1 2 0
2 3 0
10 8
3 5 5
5 5 0
1 5 5
0 3 2
0 0 3
5 1 4
4 3 4
4 4 4
2 3 4
2 1 2
10 4
1 1 3
0 3 3
3 0 1
0 0 0
2 2 2
1 0 0
2 2 1
3 0 2
3 2 1
2 1 1
10 9
2 2 0
0 0 2
0 1 2
0 2 2
1 2 0
2 1 2
0 0 0
1 2 2
0 1 0
0 1 1
10 4
0 3 0
2 1 0
1 0 1
0 2 1
0 3 1
2 4 1
2 0 2
1 0 4
0 1 1
0 2 0
10 7
2 1 4
4 2 0
3 1 0
0 4 0
0 4 2
3 4 0
1 2 4
2 4 3
3 2 3
1 1 1
10 6
0 2 1
3 1 3
2 0 3
0 1 0
2 2 2
1 0 1
1 1 0
0 0 2
0 3 0
2 2 1
10 5
3 2 2
3 1 3
3 3 0
3 2 1
3 1 0
2 1 1
0 3 4
3 2 3
0 2 3
3 3 3
10 8
0 1 2
3 4 2
0 1 3
4 4 3
2 4 0
2 2 0
2 0 0
1 4 4
2 4 3
2 2 1
10 4
3 1 2
3 3 3
3 3 1
1 2 0
1 0 1
2 1 3
2 1 0
3 3 2
1 3 1
2 1 1
10 9
2 0 1
2 2 1
2 0 2
0 2 2
2 1 2
1 0 0
0 2 0
0 0 0
0 2 1
1 0 1
10 5
0 1 1
2 0 3
2 1 0
0 2 1
1 2 1
0 2 2
2 0 2
3 1 2
1 0 2
2 3 3
10 5
2 4 3
3 2 4
2 3 3
2 4 1
1 3 3
0 3 3
3 1 1
3 2 1
4 0 2
1 4 4
10 9
0 0 2
0 1 2
1 2 2
2 1 1
1 2 1
2 2 2
1 1 1
1 2 0
2 0 0
2 0 1
10 8
5 0 1
0 5 3
4 1 0
0 0 5
0 3 2
2 2 3
3 2 1
4 4 5
4 4 3
5 4 3
10 5
3 3 0
1 0 3
1 0 1
3 2 3
1 1 2
0 0 3
2 2 2
3 0 3
3 0 2
0 2 2
10 7
2 2 3
3 1 0
0 0 1
0 0 3
0 1 0
1 2 0
3 3 0
1 3 1
1 0 0
2 1 0
10 7
2 0 0
2 2 1
2 1 2
1 2 1
0 2 2
0 2 0
0 1 0
1 0 2
2 2 2
0 0 1
10 4
3 0 3
4 0 1
0 1 3
0 0 0
3 2 0
3 2 1
1 0 4
2 0 5
0 2 5
0 4 0
10 7
3 2 5
2 2 1
0 4 2
5 3 1
2 0 5
0 5 1
2 5 0
5 5 1
2 1 4
0 5 3
10 2
4 3 0
1 1 4
3 1 1
0 2 2
3 2 1
4 1 2
2 1 1
2 3 4
3 0 2
2 4 0
10 7
0 3 1
2 1 1
1 1 3
3 1 2
2 1 2
0 2 0
0 3 2
1 0 3
2 2 0
0 3 0
10 9
0 0 2
0 1 1
1 1 1
1 2 0
0 1 2
0 0 1
1 0 2
1 1 0
2 0 2
0 2 1
10 8
1 2 2
2 0 2
0 1 2
2 2 2
2 0 0
0 2 1
2 2 0
0 0 1
2 1 2
1 1 0
10 3
4 2 3
1 2 2
2 0 3
1 5 4
2 5 2
0 3 1
2 0 0
4 0 2
3 5 1
4 3 2
10 9
0 2 0
1 0 2
4 4 2
0 0 2
0 3 3
5 0 5
3 2 1
4 4 1
4 0 3
0 1 3
10 5
0 1 0
1 0 1
2 1 0
2 2 1
2 1 2
2 0 2
0 2 2
2 2 0
1 0 2
1 1 1
10 5
1 2 0
0 2 1
0 1 0
2 1 1
2 0 1
1 0 2
1 2 1
1 1 2
2 1 2
2 0 2
10 7
2 2 1
1 0 2
1 2 2
0 0 1
1 0 1
1 2 0
0 2 0
0 2 2
2 0 2
2 2 2
10 5
0 2 1
0 1 1
0 0 1
1 2 0
1 1 1
1 1 0
2 2 2
2 1 1
1 2 1
1 0 1
10 5
0 0 4
3 4 1
1 0 1
0 1 3
1 1 1
2 0 2
1 4 1
3 4 3
4 0 3
2 3 4
10 5
2 2 1
1 2 2
2 1 2
0 0 1
2 2 0
0 0 0
1 1 1
2 0 0
0 1 0
0 2 2
10 3
2 1 3
3 1 3
0 0 3
3 0 3
3 3 2
2 1 2
0 0 0
1 1 2
3 2 0
3 1 1
10 4
3 0 1
3 3 3
3 0 2
2 0 2
3 3 1
2 2 1
1 3 0
3 3 2
3 2 1
3 0 0
10 4
3 0 3
1 2 3
1 1 1
2 1 3
1 2 2
1 3 3
2 3 0
3 0 1
1 2 1
0 1 0
10 4
2 3 1
1 2 3
2 3 2
1 1 0
2 0 3
2 2 3
0 1 0
0 0 1
2 2 0
0 0 2
10 3
1 0 0
0 0 3
2 0 3
2 2 2
2 1 2
0 3 0
2 2 3
2 3 1
0 2 0
0 1 3
10 8
3 1 3
1 1 3
1 3 3
1 1 1
0 2 0
1 1 2
1 2 2
3 1 2
0 1 1
2 3 0
10 9
2 1 0
2 1 2
2 2 2
1 0 0
1 0 2
0 1 2
2 1 1
1 1 2
2 0 2
2 2 1
10 6
3 4 2
4 3 3
1 4 1
5 5 2
2 3 4
1 3 3
2 1 5
2 2 2
4 4 3
0 4 3
10 3
3 0 1
2 1 2
0 1 3
3 3 0
0 2 2
1 2 1
3 0 0
1 0 3
1 1 1
0 2 3
10 5
0 1 0
2 2 2
0 2 2
0 2 0
0 0 2
0 0 0
1 0 1
1 2 2
1 1 1
0 2 1
10 8
0 0 1
0 2 2
2 1 1
1 0 1
0 1 0
0 1 1
2 2 1
2 0 1
0 1 2
0 0 0
10 7
1 0 0
0 2 2
2 0 1
0 0 1
1 1 0
1 2 2
2 1 1
1 0 1
2 0 0
2 2 1
10 9
1 4 0
0 1 1
1 3 1
2 0 3
1 3 2
2 4 0
0 3 2
0 4 2
4 4 3
3 3 1
10 4
3 1 3
0 4 0
0 4 2
1 3 5
1 3 2
0 2 4
2 3 5
5 4 2
2 5 0
2 2 2
10 5
3 4 0
3 2 4
0 4 0
2 2 1
2 4 2
1 4 1
2 0 2
3 4 2
3 3 0
2 3 3
10 8
1 1 5
0 3 4
5 5 0
5 0 1
3 4 3
1 1 3
4 4 2
4 2 5
2 2 4
0 3 3
10 9
1 1 1
0 0 2
1 2 0
1 2 2
0 2 0
0 1 0
2 2 1
1 0 0
0 2 1
1 2 1
10 9
2 1 2
2 0 0
0 0 0
1 1 2
0 2 1
0 1 2
2 2 1
2 0 1
2 0 2
2 2 2
10 9
2 5 4
5 5 3
2 3 0
1 2 0
4 5 3
0 4 3
4 0 4
2 5 0
2 5 5
3 0 3
10 4
3 0 0
3 3 0
1 1 2
3 2 1
2 1 3
1 2 1
1 1 3
2 3 0
0 0 2
1 3 3
10 7
0 1 2
3 2 2
2 0 0
2 2 0
3 0 2
0 2 0
3 3 0
2 1 2
0 1 3
3 1 3
10 4
0 1 0
2 0 0
3 0 0
3 1 0
1 1 2
0 0 3
1 2 3
1 0 1
1 3 2
0 3 3
10 3
1 0 0
2 2 3
0 1 0
0 3 1
2 0 1
1 1 1
0 2 0
1 3 2
1 2 2
1 2 0
10 4
1 0 2
0 2 1
0 0 0
2 0 0
1 2 1
0 2 2
1 1 1
2 1 1
0 0 2
2 2 0
10 6
2 3 1
3 5 1
2 2 4
3 1 2
5 5 5
1 4 5
3 4 5
3 4 4
0 1 4
4 2 0
10 5
1 2 1
0 2 2
2 2 0
1 2 0
1 0 1
0 1 1
1 1 1
2 1 2
1 0 0
0 1 2
10 9
0 2 2
0 2 0
2 0 1
0 1 1
0 0 1
2 0 2
1 0 0
1 1 0
2 2 0
1 1 1
10 6
0 2 1
0 0 3
3 3 1
3 2 2
4 0 2
0 4 2
3 2 0
3 4 0
2 4 1
1 3 1
10 3
0 2 0
1 1 0
2 2 1
2 2 2
0 1 0
0 0 1
1 2 1
2 0 2
0 1 1
2 1 0
10 2
2 2 0
1 2 1
1 2 0
1 0 1
3 0 1
2 2 3
3 2 0
3 3 1
1 0 0
3 1 0
10 8
2 0 3
3 4 3
5 5 5
1 5 1
0 1 1
0 5 3
5 4 5
3 3 2
0 5 1
4 3 4
10 8
1 2 0
0 1 1
1 5 5
5 3 0
1 3 4
5 1 0
3 3 1
1 3 1
5 2 5
0 4 2
10 7
2 3 0
1 1 3
1 2 2
2 0 1
0 3 2
1 2 1
3 1 1
3 1 0
0 2 1
1 3 2
10 5
3 3 1
0 2 1
2 1 2
2 3 3
2 0 1
3 3 0
1 0 3
3 2 0
0 3 0
3 2 1
10 6
3 0 3
4 2 3
1 4 3
3 5 4
0 5 2
3 1 1
3 4 0
5 3 0
5 1 4
3 2 1
10 2
1 4 1
0 1 2
4 0 1
0 3 3
1 3 4
4 4 2
2 3 0
0 1 1
4 2 2
3 4 2
10 8
2 3 0
0 1 4
4 1 1
0 3 4
3 4 2
0 2 3
0 1 1
2 4 0
3 1 0
0 4 0
10 8
1 0 0
2 2 2
0 3 1
1 3 3
2 2 1
2 0 0
1 3 2
0 2 3
0 0 3
0 0 2
10 4
1 5 1
5 3 0
2 0 0
5 5 5
3 0 1
3 0 5
0 2 5
2 2 3
1 0 4
0 4 2
10 3
2 0 0
1 1 1
1 0 2
0 0 1
2 1 0
0 1 1
2 0 1
2 2 2
1 2 2
2 2 1
10 8
1 3 1
4 4 0
5 5 1
4 1 0
1 3 0
4 0 5
2 4 0
0 2 1
3 1 1
2 0 5
10 8
3 0 0
1 4 4
3 4 0
3 3 3
2 3 3
4 1 4
2 4 1
2 1 2
3 3 4
3 2 2
10 2
1 1 2
1 2 2
3 1 0
0 1 3
3 1 1
0 3 3
2 3 2
0 2 3
1 2 3
0 1 0
10 8
2 2 0
2 0 2
0 0 0
2 1 0
1 0 2
1 1 1
2 2 1
2 2 2
2 1 2
0 1 2
10 7
2 2 1
2 0 1
0 0 2
1 0 1
1 1 2
0 2 2
2 2 2
0 0 0
0 2 1
2 1 2
10 9
2 3 4
5 3 0
3 1 4
5 0 1
0 5 3
2 2 3
1 1 0
0 3 0
3 0 1
4 0 0
10 3
1 0 1
0 0 1
0 1 2
2 1 0
2 1 1
1 2 0
2 1 2
0 0 2
0 1 0
0 1 1
10 8
2 1 0
1 0 3
0 0 3
3 1 1
3 0 3
2 0 0
3 2 0
1 3 3
0 1 3
0 3 3
10 8
0 4 4
5 2 4
1 0 5
2 5 5
0 3 3
3 0 1
1 1 4
0 1 3
0 5 2
4 2 5
10 7
2 0 1
1 1 0
0 1 2
2 1 1
1 0 2
1 1 1
0 2 1
1 0 0
0 1 1
2 1 0
10 4
0 1 2
2 1 2
1 2 0
2 0 0
0 2 0
0 2 2
2 2 2
1 0 1
1 1 1
2 1 0
10 3
1 0 0
1 1 2
2 0 1
0 2 0
0 0 0
2 0 2
2 1 2
2 1 0
2 2 2
1 1 0
10 4
1 3 2
3 0 1
3 2 1
0 3 3
1 0 0
3 3 3
2 2 2
3 1 1
1 0 1
0 3 0
10 8
2 3 2
0 3 2
0 4 4
4 1 2
1 2 0
0 4 0
1 0 3
0 1 4
4 2 2
4 0 3
10 4
0 2 0
1 2 2
0 2 1
2 1 2
2 0 1
2 2 2
1 1 2
0 1 1
2 2 1
2 0 0
10 9
5 0 2
4 1 2
3 1 5
0 2 0
5 2 3
5 0 4
3 2 2
1 1 1
3 1 4
4 1 5
10 2
2 0 3
0 2 2
1 3 0
4 4 0
2 2 3
0 0 3
0 3 2
4 1 4
1 0 4
4 2 1
10 8
2 0 0
0 5 3
4 5 1
2 5 1
0 0 5
5 2 1
5 4 2
2 4 3
1 2 0
5 5 1
10 4
0 4 2
2 2 4
4 0 4
4 4 1
3 3 3
3 2 3
0 0 4
2 2 1
2 0 0
1 0 4
10 3
1 0 3
2 3 2
0 3 0
4 2 2
4 1 3
2 2 3
4 0 0
3 3 2
2 3 4
0 0 2
10 2
0 4 3
0 3 0
1 1 0
0 1 2
0 3 3
2 2 4
3 3 4
2 4 3
3 2 0
1 4 3
10 2
5 5 5
2 5 4
0 0 5
4 3 3
1 0 0
2 5 0
5 5 0
1 4 2
4 4 4
4 3 2
10 3
0 4 1
4 1 2
1 1 4
1 4 1
2 2 3
4 3 2
0 0 1
1 2 4
4 2 4
1 1 0
10 6
0 3 0
3 5 2
2 1 3
3 1 1
2 5 1
2 4 3
0 3 4
5 1 4
4 5 3
1 4 2
10 5
1 3 0
3 4 0
3 1 0
4 1 1
0 0 4
1 4 0
3 3 4
3 0 1
2 1 3
3 4 3
10 8
0 0 3
3 4 1
2 0 3
4 2 2
3 2 0
2 1 0
2 0 4
2 2 0
0 1 1
2 0 1
10 4
4 3 3
2 1 2
1 3 0
4 2 3
4 1 0
1 1 0
1 3 3
3 4 3
0 4 2
4 1 1
10 6
0 3 0
2 0 2
2 1 1
0 2 3
1 3 1
0 3 1
2 3 3
3 0 2
1 1 0
1 3 0
10 8
1 2 0
1 0 0
3 2 1
0 1 2
0 3 2
0 1 3
0 3 0
0 2 1
0 3 3
1 2 2
10 3
2 4 1
0 0 2
1 0 3
1 0 2
0 1 0
2 4 3
1 4 0
4 2 0
4 3 1
1 1 0
10 7
5 1 4
0 2 5
0 0 2
5 2 1
0 1 1
3 2 3
4 3 3
5 0 3
3 5 1
5 1 0
10 7
3 4 3
2 4 1
2 3 4
1 0 3
1 4 4
2 3 3
2 0 0
0 1 0
4 3 0
1 1 1
10 8
0 1 1
1 2 0
2 4 1
1 0 3
4 0 3
0 3 3
1 1 0
3 3 4
3 0 3
3 0 1
10 5
2 1 2
3 3 1
2 1 0
3 2 2
2 0 0
2 2 1
3 3 3
1 3 2
2 1 3
0 0 0
10 3
1 2 2
3 2 0
2 3 2
2 2 0
1 2 1
1 0 2
2 1 2
2 3 1
1 1 1
2 1 3
10 5
3 1 1
4 0 2
1 3 1
2 4 1
0 1 0
0 2 2
0 0 3
1 4 3
2 0 3
3 0 0
10 5
1 0 0
1 1 2
2 2 2
2 1 2
0 2 1
2 1 1
2 2 1
2 0 1
2 0 2
1 1 1
10 9
4 3 1
0 0 0
1 0 2
4 3 0
0 3 3
1 0 3
3 3 4
3 0 1
4 4 4
2 4 1
10 5
0 0 3
2 5 0
2 4 0
1 5 1
0 5 0
0 5 3
2 3 1
2 4 1
3 3 1
4 4 3
10 2
4 2 1
3 0 0
0 0 5
2 1 5
4 1 0
1 1 1
3 0 3
2 2 2
1 5 1
5 1 4
10 8
5 3 1
3 2 4
4 0 2
0 3 2
1 4 5
0 0 5
4 0 5
0 1 4
0 0 1
5 4 5
10 9
2 2 3
2 0 4
3 1 3
2 5 1
1 5 0
2 5 3
2 0 0
2 4 2
4 0 1
2 1 3
10 6
3 2 2
2 1 1
1 1 3
2 4 1
0 2 3
2 2 1
3 1 1
1 0 4
2 0 0
0 4 2
10 6
3 0 0
3 0 2
4 2 0
1 2 1
0 4 0
0 4 3
2 0 4
3 4 3
4 4 0
4 0 1
10 9
2 4 4
0 3 0
5 5 4
1 2 3
5 2 4
3 4 3
3 3 3
3 1 5
2 2 5
1 4 3
10 2
0 4 2
0 4 3
1 2 4
1 0 4
3 4 4
3 1 0
1 1 2
3 1 4
4 1 2
0 3 3
10 4
3 2 3
5 5 1
0 2 1
0 0 0
0 3 0
0 4 5
2 5 4
0 2 2
2 1 4
1 3 1
10 4
2 1 0
2 3 2
0 4 2
4 2 4
2 5 3
5 3 3
1 1 0
1 1 5
5 5 3
5 5 1
10 6
0 0 0
2 2 0
1 0 2
1 2 2
2 0 2
1 1 2
0 1 2
0 0 2
2 0 0
0 2 2
10 8
1 2 3
3 2 1
3 0 1
1 2 0
1 0 0
0 1 2
0 0 2
2 2 0
0 3 3
3 3 0
10 6
0 0 1
2 0 2
1 1 0
2 1 0
2 2 0
1 2 2
2 1 1
2 1 2
1 2 1
1 1 1
10 3
1 3 2
1 2 1
0 0 3
1 3 3
1 0 2
3 0 0
0 3 0
0 1 3
2 1 1
2 3 0
10 2
3 0 3
2 3 2
3 0 1
0 2 1
0 0 0
1 3 2
3 2 2
3 3 1
2 3 0
0 0 3
10 3
0 0 0
2 0 1
1 1 2
1 2 0
2 2 1
0 2 2
0 1 1
0 2 0
1 0 2
1 0 1
10 5
3 4 2
4 0 3
4 4 4
2 4 2
1 2 2
0 0 0
1 0 2
2 4 3
4 3 3
1 3 0
10 2
2 1 2
0 2 0
1 2 1
0 0 2
2 0 1
1 1 2
1 2 2
1 1 1
2 2 1
0 2 2
10 9
1 3 1
2 0 2
3 3 2
5 5 5
3 1 5
3 5 4
2 2 3
1 3 4
1 2 1
0 2 4
10 3
1 1 1
3 1 5
0 2 5
1 4 5
1 4 3
5 3 4
2 4 4
1 2 3
5 3 3
5 0 5
10 7
4 0 3
2 0 5
4 3 5
3 1 2
1 5 1
4 2 3
3 1 4
2 3 5
2 3 2
5 3 3
10 6
3 1 5
0 2 2
3 5 4
3 3 1
0 2 5
2 1 5
5 5 3
0 5 5
4 5 3
4 3 1
10 4
3 3 1
2 2 2
0 2 0
2 3 3
3 0 0
3 2 1
3 3 0
1 1 3
3 0 2
0 3 3
10 4
1 0 2
0 0 0
2 0 2
2 1 0
0 0 1
2 2 1
1 1 1
1 0 0
0 1 2
2 2 2
10 8
4 5 3
5 4 3
2 4 3
5 5 3
5 2 1
0 2 5
5 0 3
1 3 5
1 3 2
2 4 2
10 5
0 0 2
2 2 1
1 2 0
1 1 2
1 0 2
0 2 2
1 2 1
0 1 0
1 1 1
2 0 1
10 8
3 3 1
3 3 2
1 2 1
3 3 0
0 3 1
1 0 1
2 1 2
1 1 3
3 0 3
0 3 2
10 6
0 1 3
2 0 2
2 1 3
0 1 2
2 0 0
1 0 3
1 1 2
1 2 0
2 2 1
1 3 2
10 7
0 3 2
1 0 3
1 3 0
1 1 2
3 1 2
1 3 1
1 0 0
3 0 2
1 2 2
3 1 3
10 2
1 1 0
1 2 0
0 0 2
0 0 0
0 1 2
2 0 2
1 2 2
2 1 1
0 1 1
2 1 0
10 9
2 3 2
1 1 0
0 0 0
1 0 2
2 3 3
3 0 1
1 2 3
0 3 3
3 0 3
1 3 1
10 4
5 2 2
2 0 0
1 3 1
2 3 2
4 2 4
4 0 4
4 5 4
4 0 5
4 2 1
2 2 2
10 4
0 1 0
0 1 2
0 0 1
2 2 2
0 2 0
2 2 1
2 0 1
0 1 1
0 0 2
1 0 0
10 7
2 4 0
1 4 2
0 4 3
1 5 4
5 3 0
2 5 2
4 2 2
2 5 0
0 0 5
5 5 1
10 3
0 0 2
0 0 1
0 2 2
1 2 2
0 1 2
0 2 0
0 0 0
1 2 1
2 1 1
2 2 2
10 3
4 3 3
0 1 3
0 3 4
0 4 1
1 3 0
0 0 4
3 1 3
1 2 2
2 1 1
0 4 4
10 2
2 1 2
0 2 2
2 0 0
0 0 1
2 0 1
0 1 1
2 0 2
1 0 2
1 0 0
2 2 2
10 9
5 2 4
2 5 4
1 2 1
3 1 4
4 2 2
3 0 2
3 2 2
4 4 0
0 5 3
4 1 4
10 9
3 5 2
5 2 1
5 5 3
0 1 3
0 3 0
2 4 3
0 2 0
4 4 2
1 0 4
1 3 2
10 5
1 0 2
0 1 2
1 0 0
1 1 0
2 1 0
2 0 2
2 2 1
2 0 0
0 0 0
0 2 2
10 7
3 3 0
0 2 4
4 3 1
2 0 4
4 2 0
1 2 1
2 3 4
4 4 2
4 0 3
3 0 3
10 3
0 0 4
2 4 0
2 2 0
3 4 1
2 1 0
4 0 4
1 4 0
2 1 4
1 2 4
0 2 3
10 7
3 1 0
2 3 2
0 1 1
4 1 3
2 1 4
3 4 1
1 4 3
2 3 0
2 0 0
4 4 2
10 3
2 2 0
3 1 2
2 3 1
3 1 0
0 2 3
2 2 3
0 3 2
2 3 0
1 3 3
1 2 1
10 3
3 0 0
0 4 0
0 0 2
4 0 1
3 3 0
2 1 2
0 2 2
4 1 1
3 2 2
2 2 2
10 5
1 3 0
2 3 3
0 3 2
3 3 2
1 2 2
3 3 3
2 0 2
1 3 3
3 1 0
2 2 2
10 9
1 3 1
0 3 0
1 2 3
3 0 0
3 4 1
1 4 2
2 4 4
2 1 2
0 2 0
0 4 3
10 4
0 1 0
4 4 1
0 3 2
4 4 2
3 1 2
0 4 4
3 4 1
2 2 1
4 2 0
4 1 3
10 5
1 3 4
4 2 3
0 0 4
1 2 2
3 0 2
1 1 1
0 4 4
3 1 1
2 3 3
2 3 0
10 2
3 0 3
1 0 3
3 1 1
1 3 0
0 1 3
2 0 1
2 3 0
1 1 1
1 1 0
3 1 0
10 9
4 3 1
5 5 1
4 0 1
0 4 1
4 1 5
0 3 0
3 2 1
0 4 5
4 2 5
1 2 0
10 5
3 3 2
0 2 2
0 1 0
3 2 0
1 3 2
2 1 1
2 3 1
2 3 3
1 0 1
1 2 1
10 3
2 3 5
3 3 0
0 5 3
5 1 5
5 3 2
5 1 0
5 5 0
1 1 3
3 0 4
2 1 1
10 3
4 0 1
0 4 4
0 0 3
1 4 0
0 3 3
3 1 3
1 1 2
2 0 4
4 4 2
2 0 1
10 2
0 2 0
1 0 0
1 2 0
2 1 2
1 2 2
1 1 2
0 0 1
1 0 1
2 2 2
2 1 1
10 5
2 3 3
0 3 2
0 3 0
3 2 0
2 1 3
0 1 3
4 3 0
3 4 1
2 4 1
0 4 2
10 9
5 2 3
0 1 3
3 3 3
1 0 5
1 3 2
0 1 1
3 2 3
5 5 3
1 0 4
5 5 1
10 6
4 1 2
0 4 4
0 2 3
1 0 5
2 1 2
4 5 2
4 0 1
5 0 2
0 5 5
2 2 4
10 6
1 0 2
1 0 1
3 1 1
2 2 3
1 2 0
3 0 3
0 1 0
2 1 1
1 2 1
0 3 3
10 7
0 1 0
1 1 2
1 0 2
0 3 0
3 2 0
2 3 0
0 0 1
1 2 0
1 2 2
2 2 1
10 7
2 1 0
3 1 1
1 0 3
1 2 0
0 3 0
3 1 3
1 0 2
3 3 2
0 2 1
0 3 1
10 5
1 3 2
3 3 3
3 1 3
2 2 0
2 2 2
1 0 2
3 2 1
1 3 0
2 3 3
2 3 0
10 3
1 1 2
0 0 1
2 0 1
1 2 0
3 2 0
3 1 1
1 2 3
3 1 0
3 2 2
1 0 3
10 6
1 1 0
2 2 2
1 1 2
0 1 1
2 1 1
2 0 2
1 0 1
0 1 0
1 2 1
0 2 0
10 2
1 1 2
0 2 2
1 2 3
0 3 2
0 3 1
1 3 1
3 2 1
2 2 2
1 1 1
0 1 1
10 5
1 1 2
1 2 2
1 2 0
2 0 2
0 0 0
0 0 1
0 2 2
1 2 1
0 1 1
2 0 1
10 6
0 1 1
1 0 0
1 2 1
2 0 1
2 1 1
0 1 0
0 2 0
0 0 2
2 2 2
1 0 1
10 8
5 5 3
5 0 2
3 3 1
0 1 1
0 5 4
5 4 5
1 3 1
2 5 3
1 1 5
0 0 3
10 9
0 0 2
4 4 3
3 0 0
1 2 0
2 3 1
1 4 0
1 3 0
4 1 2
4 4 4
1 2 4
10 6
2 1 3
3 2 0
2 2 1
2 2 0
3 3 1
0 0 1
3 0 0
1 2 1
3 1 1
0 2 3
10 4
5 2 2
4 5 3
1 4 1
3 5 2
4 5 2
5 3 0
3 0 1
5 3 4
0 2 2
3 2 2
10 3
1 3 3
2 1 2
0 0 3
2 3 0
2 2 1
2 1 0
2 2 3
3 0 1
1 1 3
2 1 3
10 4
2 2 4
3 3 4
3 3 3
1 1 3
2 0 4
4 2 2
2 3 2
3 0 0
2 2 3
1 3 3
10 4
0 2 0
3 3 3
2 0 3
2 2 0
2 2 1
0 2 1
0 0 2
0 3 3
1 3 0
2 2 2
10 4
1 1 4
3 1 2
0 4 1
0 3 5
2 3 3
1 4 4
3 5 5
5 0 0
5 1 1
1 2 2
10 2
3 4 2
2 2 4
0 2 5
5 3 0
4 0 5
5 5 1
3 1 3
2 3 5
5 3 1
2 4 5
10 5
0 2 2
2 0 1
2 1 2
1 1 2
0 0 2
1 2 1
2 0 2
2 1 0
1 2 2
0 2 1
10 4
1 2 4
1 1 3
1 4 0
3 0 3
2 0 1
0 4 0
2 1 0
3 1 0
0 2 2
4 2 1
10 6
4 3 3
4 0 4
0 1 0
1 3 4
0 1 3
4 1 3
3 3 3
3 0 2
2 2 2
3 4 4
10 9
0 0 1
1 1 1
2 2 1
2 0 1
1 2 0
2 2 0
0 0 2
1 2 2
1 1 0
0 2 0
10 7
3 1 3
3 3 3
0 0 3
1 2 3
1 3 0
3 0 3
3 3 2
1 1 0
2 0 1
3 2 3
10 4
1 3 3
2 3 3
2 3 1
0 2 3
2 1 3
3 2 2
2 1 0
3 2 0
0 0 0
2 1 1
10 7
0 0 1
2 1 0
2 1 1
0 1 0
2 0 2
0 0 0
2 1 2
0 2 1
0 2 2
2 0 0
10 2
2 2 0
4 3 3
3 3 1
4 2 0
2 4 0
1 1 4
1 5 1
5 3 2
1 5 3
0 5 4
10 6
5 4 4
5 5 0
3 2 3
2 1 0
5 5 3
2 0 5
5 4 1
5 0 0
0 3 5
5 5 2
10 3
0 1 3
3 2 2
2 3 0
0 1 0
0 1 2
2 3 3
1 0 1
2 1 0
3 2 0
1 0 3
10 4
0 2 0
2 0 2
0 0 1
1 0 2
0 0 2
1 2 2
0 0 0
1 2 1
0 1 2
2 1 0
10 4
0 0 3
1 0 2
1 2 3
0 1 1
1 3 3
3 0 0
3 3 1
1 2 1
2 2 3
1 3 2
10 4
5 3 2
4 0 5
2 1 5
5 2 5
4 5 0
5 3 5
3 5 5
1 2 3
0 5 5
0 3 5
10 9
0 2 2
1 1 2
1 1 1
0 1 1
0 0 2
1 2 0
0 1 2
1 0 1
1 0 2
1 2 1
10 6
4 0 2
2 1 2
3 3 2
0 2 2
0 0 2
3 2 1
3 3 0
4 4 1
4 0 0
3 0 0
10 6
0 1 3
0 3 2
2 0 2
0 0 1
2 3 1
2 1 3
3 2 2
1 2 2
2 3 3
2 2 2
10 3
1 2 1
2 5 2
1 4 0
0 3 0
3 5 0
4 1 1
1 3 0
3 5 2
2 5 5
2 0 4
10 9
0 0 2
3 2 3
0 0 3
0 1 2
3 3 1
1 2 3
3 1 3
2 1 2
1 1 0
2 3 3
10 7
0 1 2
1 0 0
2 0 1
2 0 2
0 0 1
2 1 1
0 1 0
0 0 2
2 1 0
2 2 2
10 9
2 3 4
2 3 0
3 1 5
5 3 0
3 2 3
1 1 4
4 1 1
0 3 2
1 1 0
1 5 0
10 4
2 1 1
2 1 0
1 0 0
0 0 1
2 2 1
1 0 1
1 1 2
1 1 1
0 0 2
2 0 0
10 2
3 1 4
0 4 2
2 1 4
0 3 4
2 1 0
1 0 3
1 0 2
0 3 0
1 4 4
3 2 0
10 7
3 1 2
1 4 4
1 0 0
1 1 4
0 2 1
4 1 1
2 2 2
0 4 4
3 4 3
0 4 2
10 3
1 2 3
3 0 0
0 3 2
3 2 4
0 0 0
4 3 0
3 0 1
1 1 1
1 3 1
0 1 0
10 9
1 2 0
1 3 2
0 2 0
3 1 3
3 3 2
3 0 2
1 3 0
0 3 2
0 3 1
2 0 1
10 7
3 2 1
0 2 0
0 2 3
2 1 3
0 1 1
3 0 1
0 3 3
2 3 2
1 3 2
0 3 1
10 9
0 4 1
0 2 4
1 2 2
3 4 4
2 1 4
1 3 2
3 4 3
1 0 2
4 0 0
4 0 2
10 6
0 2 1
1 0 0
2 0 1
1 1 2
0 1 2
1 1 1
2 1 2
1 2 0
2 0 0
0 1 1
10 8
4 1 1
0 3 1
2 0 0
2 1 3
2 2 4
4 2 3
2 3 2
1 1 3
1 3 1
3 2 0
10 3
3 2 0
3 0 1
4 4 2
2 2 3
0 0 1
2 4 1
2 2 2
0 2 3
1 2 2
3 4 1
10 6
1 1 0
2 1 0
2 0 1
1 2 2
2 0 0
1 0 1
0 2 1
0 1 0
1 2 0
2 2 2
10 4
3 1 2
1 2 0
1 4 2
4 3 3
4 0 4
5 1 3
2 1 0
0 1 5
1 0 3
5 5 2
10 6
2 4 3
0 2 3
0 5 4
2 4 4
3 4 1
5 1 0
0 0 4
5 2 4
1 3 4
1 3 0
10 5
2 0 2
3 0 2
2 1 3
2 0 1
0 2 2
2 0 3
0 1 0
1 1 3
3 3 0
0 2 1
10 7
4 5 5
2 3 3
2 3 1
0 3 4
1 4 0
1 5 4
2 0 0
3 3 5
0 4 4
3 1 1
10 9
2 1 2
1 0 4
2 4 2
0 4 4
1 1 0
3 1 2
3 0 1
1 3 3
4 1 4
0 4 1
10 7
3 4 0
1 1 2
3 0 4
4 1 0
4 0 1
1 4 5
3 3 4
5 3 1
1 3 3
2 0 2
10 8
2 0 1
0 2 3
4 3 4
3 0 2
2 3 1
1 2 0
0 4 2
3 0 0
4 1 1
1 2 3
10 8
1 0 1
0 2 3
2 1 2
3 0 0
0 3 2
0 1 2
0 1 0
1 2 1
3 3 3
0 1 1
10 4
2 1 4
3 1 1
1 3 2
3 0 3
0 0 0
0 0 3
1 4 0
2 0 2
4 0 4
3 4 4
10 5
5 4 4
4 5 0
3 4 4
2 5 5
4 4 2
1 4 4
1 0 5
1 3 5
4 1 3
4 2 3
10 6
2 0 3
5 5 0
0 0 0
0 2 2
1 2 1
1 4 4
4 3 3
5 4 2
0 3 2
4 0 3
10 6
3 3 1
1 1 0
3 3 2
3 1 1
3 3 3
1 3 0
3 2 1
1 2 0
0 3 1
1 3 1
10 6
2 0 0
0 2 1
2 1 1
0 2 2
0 2 0
1 0 1
2 1 0
1 0 2
2 1 2
0 0 0
10 3
2 3 0
0 0 0
0 0 3
2 0 1
2 1 3
0 3 2
0 4 3
2 4 1
1 2 3
0 4 1
10 6
0 2 0
2 1 2
2 1 0
0 1 1
1 0 0
2 0 2
1 2 2
1 1 0
0 2 2
0 0 1
10 9
0 0 3
0 2 0
2 1 0
3 1 3
3 2 3
2 0 1
2 1 4
2 2 4
3 1 1
1 0 2
10 7
2 2 1
1 1 3
1 0 3
1 0 0
1 3 0
3 0 0
3 1 2
2 3 0
0 2 3
0 2 2
10 3
0 1 0
0 0 2
0 0 4
2 4 1
0 0 3
1 1 0
3 3 0
3 4 0
1 3 4
0 4 1
10 2
2 5 4
5 5 3
0 4 4
3 2 4
1 4 3
4 1 2
1 0 3
2 5 1
1 0 5
2 2 5
10 9
0 1 3
0 3 2
2 0 3
1 1 2
0 2 1
1 3 3
2 2 0
0 2 2
3 1 0
2 0 1
10 4
0 0 1
0 1 1
1 1 2
0 1 0
2 1 2
1 1 1
0 2 2
1 2 1
2 2 1
0 2 1
10 7
3 1 1
0 3 4
3 1 2
2 0 0
4 1 3
3 0 3
3 2 4
0 3 0
4 4 3
1 3 3
10 9
3 3 1
1 2 2
3 3 3
3 1 3
2 2 0
1 0 2
1 0 1
3 0 2
3 2 1
0 2 0
10 6
3 1 3
3 1 4
1 1 0
1 3 1
4 0 2
0 1 1
2 0 3
2 2 4
2 4 3
4 3 4
10 3
1 3 1
4 2 3
3 3 4
1 4 4
3 1 3
1 3 4
0 2 4
3 0 0
4 0 3
0 2 0
10 4
1 4 1
1 2 3
0 3 1
2 1 3
4 1 0
4 2 2
3 1 1
0 1 2
2 0 2
1 2 4
10 5
0 5 3
5 1 0
2 0 5
5 4 5
2 1 3
4 5 4
2 1 0
1 5 2
5 2 3
4 5 5
10 3
0 0 2
1 0 0
1 0 1
2 0 1
0 2 2
3 3 1
3 2 4
3 4 4
1 3 1
4 0 3
10 9
1 1 3
3 0 0
3 0 1
2 2 1
1 2 1
2 2 3
2 2 2
3 3 1
2 3 3
2 1 0
10 4
1 2 2
2 0 2
2 2 0
0 2 0
2 2 2
2 1 0
1 1 2
0 0 1
0 1 1
0 0 2
10 8
0 1 2
0 2 3
2 1 3
1 0 0
0 0 1
1 0 1
2 1 1
1 3 0
1 1 3
3 2 3
10 4
4 4 3
4 3 1
3 0 4
0 2 3
1 0 4
4 3 3
3 1 4
2 1 0
3 2 2
2 3 2
10 3
1 1 0
2 2 1
0 1 0
2 1 0
1 1 1
0 0 0
2 2 2
1 2 2
1 0 0
0 0 2
10 3
2 2 2
2 0 1
1 1 1
1 1 0
2 0 0
2 1 0
1 2 0
2 1 2
0 0 2
0 1 2
10 2
2 0 1
2 1 1
0 0 1
0 2 0
2 2 0
1 2 2
1 2 0
2 2 2
1 1 0
1 1 1
10 7
2 1 2
1 0 0
1 0 1
1 2 2
0 0 2
1 1 0
1 2 0
0 1 2
1 1 2
0 1 0
10 2
3 3 3
0 2 1
2 1 3
3 2 0
1 0 2
3 0 3
0 3 3
3 1 1
2 3 2
3 0 0
10 9
4 3 2
4 3 1
4 2 4
4 0 3
4 1 0
2 1 0
2 2 4
0 0 1
3 4 2
4 1 4
10 8
1 3 0
0 3 3
0 0 2
3 2 3
1 0 2
2 1 3
3 1 1
3 3 2
0 2 2
1 0 3
10 4
0 2 0
1 1 1
0 1 1
2 1 0
2 0 0
1 2 1
2 1 1
1 1 0
2 0 2
1 2 2
10 2
2 2 2
2 2 0
2 1 1
1 0 0
2 0 0
1 2 1
1 2 0
1 1 0
1 1 1
0 2 2
10 3
1 2 3
1 1 4
2 1 0
1 3 0
2 0 0
4 4 3
1 0 3
3 2 2
3 4 0
0 0 2
10 7
3 0 1
2 2 3
0 2 2
0 3 2
2 2 0
2 3 0
0 3 0
0 2 0
0 2 3
2 0 3
10 4
2 1 5
2 1 1
3 4 3
2 0 4
3 2 2
2 4 1
5 1 1
3 3 0
2 3 0
4 2 2
10 2
1 2 3
1 3 2
0 1 3
0 3 2
1 3 1
3 0 2
3 2 2
1 0 2
3 0 1
1 1 3
10 4
3 1 1
3 0 1
3 4 0
1 3 4
1 2 0
1 3 0
3 3 2
4 1 4
1 3 2
0 1 1
10 3
2 2 0
1 2 0
1 0 2
0 2 2
0 2 1
2 1 0
1 2 2
2 0 2
1 2 1
2 2 1
10 9
0 0 1
2 1 0
1 0 0
2 0 1
1 1 1
2 0 0
0 2 0
0 0 0
2 2 2
2 1 1
10 6
1 0 1
1 1 1
1 1 2
1 0 0
1 0 2
0 1 2
2 0 2
1 1 0
2 2 1
1 2 0
10 4
4 1 3
1 2 0
0 3 4
3 3 1
1 1 0
3 4 4
0 3 3
2 2 3
4 2 2
3 1 4
10 5
0 1 0
2 1 1
1 1 2
1 2 2
2 2 1
1 0 2
1 0 0
2 0 0
2 0 2
2 2 0
10 4
0 1 0
1 1 2
0 0 3
1 0 2
1 2 3
0 2 1
2 2 3
1 2 0
1 1 3
3 1 3
10 6
0 3 2
2 2 1
0 0 2
0 0 3
3 2 3
2 0 0
0 3 0
0 2 3
0 3 3
1 2 0
10 5
2 2 2
3 0 3
2 3 1
3 3 2
0 2 1
1 0 1
3 0 2
3 1 3
0 1 2
0 3 3
10 8
2 3 0
1 4 0
0 4 0
2 4 4
3 1 1
1 1 2
0 2 1
3 4 3
0 4 3
4 0 4
10 6
4 0 4
3 0 3
1 1 4
2 2 1
3 0 1
4 3 3
3 4 4
0 3 1
3 3 1
1 0 0
10 7
2 2 3
2 4 2
3 0 3
2 4 3
1 1 4
2 1 4
2 1 3
4 3 0
0 2 2
2 3 4
10 2
1 2 4
0 1 2
3 3 2
4 3 3
1 0 3
0 4 4
0 2 4
3 1 0
2 2 4
0 4 0
10 4
1 3 4
2 3 4
4 1 3
3 2 1
0 4 1
0 0 4
0 0 2
3 1 4
3 0 2
4 3 0
10 6
4 4 1
0 1 3
1 1 0
4 2 4
2 0 4
0 3 1
3 3 1
1 2 0
1 3 4
0 1 4
10 3
4 1 4
4 5 1
0 2 0
4 1 0
0 1 1
2 2 1
3 0 4
2 5 1
1 4 4
1 5 0
10 8
1 1 2
2 3 5
0 0 4
3 3 4
4 3 5
5 3 4
0 2 1
5 3 0
3 4 4
1 3 0
10 4
2 2 4
3 3 0
4 0 4
1 1 2
0 4 3
1 0 3
2 0 0
0 4 2
3 4 0
4 2 2
10 4
1 0 0
1 1 1
0 0 2
2 1 2
0 2 1
0 0 0
2 2 1
0 1 1
1 2 1
1 1 0
10 2
1 1 2
1 4 5
1 1 3
2 2 1
5 5 4
3 4 0
3 5 1
2 0 5
1 0 4
3 0 1
10 3
2 3 0
3 0 3
1 1 0
0 3 1
0 0 1
1 2 0
0 2 2
2 2 1
1 1 2
1 0 0
10 6
1 2 3
2 2 0
3 1 0
0 0 0
1 3 1
2 3 3
1 3 2
2 2 1
0 0 1
3 2 3
10 3
2 0 0
2 2 0
1 1 0
0 2 2
2 2 2
1 2 1
2 1 0
0 2 1
2 1 2
2 1 1
10 9
0 3 3
1 0 2
2 0 3
0 2 0
1 2 3
2 2 3
1 2 1
2 1 0
1 2 0
2 3 2
10 4
2 2 0
1 0 2
0 0 1
1 1 2
0 2 1
1 2 1
0 0 0
0 2 2
0 1 0
2 1 1
10 8
1 2 1
3 1 0
0 2 3
2 0 2
2 1 1
0 2 2
2 1 2
1 2 0
3 0 3
2 2 2
10 7
1 1 0
1 0 0
2 1 1
1 0 2
2 2 1
0 2 2
2 2 2
2 0 0
1 2 2
2 0 1
10 2
2 0 2
2 2 1
0 0 2
0 1 1
0 1 0
1 1 0
1 2 0
0 2 1
1 2 1
1 0 0
10 9
0 5 2
2 5 4
5 3 2
4 5 3
4 1 1
0 0 3
3 5 3
2 2 3
3 2 2
2 3 2
10 5
0 0 0
2 2 1
0 0 1
1 0 1
1 1 0
3 0 0
1 1 3
1 2 2
3 1 1
2 3 1
10 4
0 1 0
3 0 0
3 2 0
3 2 2
2 0 2
1 3 2
3 0 1
3 3 3
1 0 3
0 2 2
10 2
1 2 1
1 1 3
3 3 0
2 0 3
0 0 2
1 0 0
1 0 2
1 1 0
0 0 3
2 3 2
10 2
5 2 0
4 4 4
1 1 3
0 0 3
1 0 0
1 5 4
4 2 1
4 3 3
0 1 3
0 5 4
10 5
3 0 2
3 1 3
0 3 0
2 2 3
1 1 3
2 2 1
1 3 2
2 1 3
3 2 2
1 1 1
10 8
0 1 1
4 1 2
1 4 3
3 1 2
1 0 4
4 0 4
0 1 4
3 1 3
0 4 4
1 0 1
10 3
0 0 1
1 1 2
2 0 0
1 2 1
2 2 0
2 2 2
1 0 1
1 2 0
2 0 2
2 1 0
10 3
3 3 3
2 1 1
4 2 2
3 0 4
4 2 0
1 4 1
0 2 3
2 0 2
0 0 0
1 4 0
10 9
0 2 3
0 4 4
4 2 2
3 0 4
3 3 0
2 4 2
1 4 0
2 0 3
2 3 4
1 3 0
10 5
0 4 3
1 0 4
4 5 5
0 3 3
5 4 3
2 5 0
1 4 3
2 2 1
0 1 2
3 5 3
10 9
1 1 4
0 1 3
4 4 4
0 1 0
4 2 4
4 3 2
1 1 3
4 1 4
3 4 1
3 0 3
10 7
4 0 0
3 1 0
4 0 4
2 3 4
0 1 2
3 1 2
1 0 1
1 1 4
2 4 4
1 1 1
10 9
1 2 3
0 3 1
1 1 1
4 4 4
1 1 2
3 2 2
2 2 1
2 0 3
2 2 4
3 4 0
10 2
0 0 2
1 0 0
0 1 0
1 2 2
2 0 0
0 2 0
1 1 2
0 1 2
1 1 0
0 0 1
10 7
2 2 4
0 5 4
1 1 2
1 4 5
4 5 4
2 3 0
4 2 1
3 5 4
3 2 1
2 1 0
10 3
0 2 1
1 1 2
1 1 0
1 0 0
2 1 2
1 0 2
1 2 1
1 2 0
1 1 1
2 1 0
10 2
3 3 0
2 1 1
0 4 3
2 0 4
0 1 0
2 4 1
3 4 1
2 0 1
0 3 4
1 4 4
10 3
3 0 0
1 3 3
0 2 2
1 4 3
0 3 1
2 0 3
2 0 2
0 0 4
1 1 2
4 0 3
10 3
1 3 0
3 3 0
2 3 0
0 4 3
0 2 4
2 1 3
0 0 4
1 1 4
0 1 3
3 1 2
10 4
3 1 1
2 1 0
0 3 0
1 1 0
3 3 3
0 1 1
1 0 0
3 2 1
2 2 1
1 4 1
10 5
0 0 2
2 0 2
3 0 2
2 2 0
1 4 3
0 2 0
1 1 2
0 3 3
3 4 2
4 3 3
10 3
2 1 3
3 2 3
2 1 1
1 0 2
1 3 1
3 3 1
2 1 0
0 0 2
0 3 0
3 0 3
10 7
1 4 2
4 0 3
4 0 2
2 2 0
2 3 2
4 4 3
2 2 2
3 0 2
1 0 1
3 4 3
10 9
2 2 0
3 1 4
2 1 2
2 4 1
2 1 4
2 2 4
3 0 4
1 3 2
1 3 3
3 4 2
10 8
3 3 1
0 2 3
5 2 4
0 2 1
0 3 5
5 5 5
4 1 0
0 0 3
5 1 4
1 4 0
10 3
1 3 0
1 1 2
0 2 2
3 3 3
2 3 2
3 0 2
3 2 2
0 3 0
3 0 1
2 3 3
10 8
0 3 3
0 2 3
5 1 2
1 4 5
5 3 3
5 0 0
1 3 4
0 1 3
5 0 2
3 5 2
10 8
3 3 3
3 0 2
1 0 4
0 2 3
4 1 4
0 0 2
3 4 1
2 3 0
3 2 3
2 1 1
10 9
1 2 0
1 1 0
0 0 1
2 2 0
0 1 0
1 2 1
2 1 2
0 2 2
0 0 0
2 0 2
10 2
2 2 2
2 2 0
0 0 1
2 1 1
1 2 0
0 1 2
2 2 1
1 1 1
0 1 1
0 1 0
10 8
1 1 2
3 2 0
4 4 1
3 5 5
3 2 5
3 4 0
4 4 2
1 1 3
0 2 1
4 4 0
10 5
0 0 3
0 4 2
2 0 1
3 3 3
0 3 2
4 0 0
2 2 3
3 4 1
3 0 0
0 1 4
10 4
5 4 4
4 0 4
1 2 1
5 5 4
1 1 4
5 3 3
5 1 1
4 3 2
4 1 4
1 5 4
10 6
3 5 0
4 4 2
3 2 1
5 1 1
2 2 5
0 3 3
0 1 0
5 0 1
3 5 3
0 5 3
10 8
1 1 1
2 0 2
3 2 1
2 3 3
1 3 0
0 0 0
1 3 2
2 1 3
2 2 0
3 1 3
10 9
0 1 0
3 2 3
0 2 0
2 3 2
0 2 1
2 3 3
2 1 3
1 3 1
1 2 3
1 3 3
10 2
2 0 4
4 0 0
3 1 3
1 0 1
4 3 5
5 0 4
2 4 0
0 0 2
4 5 4
2 1 3
10 7
4 5 2
1 4 0
0 5 5
0 0 5
5 5 2
1 0 1
5 0 3
5 5 5
2 2 5
2 4 1
10 6
1 0 1
0 1 2
0 0 2
0 1 0
0 0 1
2 2 2
0 2 1
1 1 1
2 1 0
2 1 1
10 3
0 0 2
0 0 0
1 2 2
2 1 2
0 2 2
2 0 0
2 2 1
1 0 1
1 0 2
0 1 0
10 3
2 2 2
0 2 2
2 1 2
0 1 0
2 2 0
2 1 1
0 0 0
1 2 0
0 2 0
2 0 2
10 4
0 2 5
3 4 3
1 5 5
1 3 4
3 0 3
3 2 5
5 4 3
1 2 0
0 1 3
4 5 3
10 6
1 2 1
0 2 1
2 0 1
0 0 0
1 2 0
0 1 0
1 2 2
2 1 1
2 1 0
2 0 0
10 3
0 0 0
1 2 0
2 1 1
2 0 2
2 2 1
1 0 1
0 1 1
1 2 1
2 0 1
0 2 2
10 5
1 0 0
1 2 2
0 1 1
0 0 0
1 0 2
2 1 1
2 0 2
0 2 0
0 1 2
2 0 0
10 3
4 1 4
3 5 1
4 0 5
3 4 3
5 1 1
4 1 1
1 5 2
1 3 1
0 0 3
1 5 4
10 2
2 2 5
3 0 2
3 2 0
5 3 4
0 2 4
4 3 0
4 5 3
5 4 2
1 3 3
3 1 5
10 8
2 0 2
1 1 0
2 2 0
0 2 2
2 1 2
1 1 1
0 1 2
2 2 2
2 0 1
0 0 0
10 5
2 2 0
4 3 3
1 4 3
5 2 0
4 4 2
1 1 4
4 0 3
3 2 1
5 4 1
1 3 5
10 9
3 4 4
4 5 5
1 2 0
3 2 5
2 5 0
5 5 5
0 2 0
0 1 5
0 2 2
3 2 3
10 9
0 1 0
2 3 4
3 3 2
1 3 3
1 2 3
4 4 3
4 0 3
3 4 4
4 1 0
4 3 3
10 2
2 0 0
2 1 2
1 1 0
0 2 2
2 2 0
2 0 1
1 2 0
1 1 1
1 1 2
1 0 1
10 5
1 0 3
3 2 1
2 2 0
2 0 2
3 0 0
0 1 2
0 3 2
1 1 0
1 3 1
2 2 1
10 3
0 1 0
3 3 0
1 3 0
3 0 3
3 0 0
2 0 3
3 2 0
0 3 0
3 1 3
3 2 3
10 2
2 3 0
3 0 0
0 3 3
3 0 3
3 2 3
2 1 1
0 2 1
3 1 0
2 2 3
2 0 0
10 3
4 2 2
1 1 4
2 2 2
5 2 1
5 5 2
4 1 4
2 3 1
4 3 2
2 5 5
5 5 4
10 8
1 1 4
2 0 0
4 0 0
3 1 0
3 1 1
4 1 3
0 3 2
3 4 0
1 2 3
0 4 3
10 5
1 1 0
1 3 2
3 1 2
0 1 0
2 1 3
1 0 2
1 0 3
2 1 0
1 3 1
1 1 1
10 2
0 0 1
0 0 0
2 2 1
0 1 1
2 0 2
0 2 1
0 1 0
1 2 1
0 2 2
1 1 0
10 3
5 4 4
4 5 2
4 1 0
3 2 4
5 1 5
0 1 1
3 2 5
4 0 5
3 4 1
2 1 4
10 8
2 3 2
0 0 2
2 0 3
0 1 3
1 0 1
1 1 2
1 2 1
3 1 3
0 0 3
0 3 2
10 4
3 1 1
0 0 1
0 3 0
3 3 3
1 0 1
3 2 1
3 0 3
0 0 3
1 2 1
2 1 1
10 5
2 2 1
1 1 3
0 0 3
3 2 0
0 0 2
2 1 2
0 2 3
3 2 2
3 2 1
2 1 0
10 4
0 4 1
3 1 0
3 3 3
0 2 4
3 0 1
2 4 1
1 1 0
3 2 3
4 0 1
1 3 0
10 4
4 0 1
3 0 2
4 1 3
3 1 4
0 1 3
0 3 2
3 2 4
3 2 3
3 3 3
0 1 2
10 7
0 1 0
1 0 1
1 1 1
0 0 1
0 2 2
2 1 2
1 0 0
2 0 1
1 2 1
1 0 2
10 3
1 0 0
0 3 2
3 2 0
2 0 0
3 2 2
1 1 3
2 1 2
0 1 1
2 2 1
3 1 1
10 4
2 0 3
1 1 2
2 0 1
3 3 2
3 1 2
1 0 0
3 1 3
2 3 0
3 2 2
2 3 2
10 6
1 1 0
2 1 1
2 1 0
0 0 0
1 0 2
1 2 2
1 2 0
1 0 0
2 0 0
0 2 0
10 7
0 0 2
2 1 2
2 0 0
1 0 2
2 0 1
2 2 1
0 2 0
0 1 1
2 2 0
0 0 0
10 7
2 1 1
0 1 1
0 0 0
3 3 3
1 3 2
1 1 2
1 0 0
1 1 0
0 2 1
2 3 1
10 3
4 0 2
2 2 0
1 2 1
4 4 4
4 3 0
4 3 2
3 0 3
4 4 3
2 2 4
0 4 0
10 5
2 1 0
0 2 0
2 0 0
0 1 2
0 2 2
2 1 1
2 2 2
1 2 1
0 0 1
0 0 2
10 7
1 1 1
0 1 2
1 2 0
2 1 2
1 1 0
1 0 2
2 1 0
2 2 0
0 0 2
0 2 1
10 6
3 3 2
4 3 2
4 1 3
4 3 0
1 3 3
4 2 2
1 0 1
3 1 0
1 3 4
0 2 0
10 6
0 0 1
4 3 2
2 4 0
1 2 0
3 0 4
1 2 2
3 1 4
4 2 2
1 3 4
3 3 3
10 5
2 0 2
2 3 2
2 2 3
0 1 0
0 1 2
1 3 2
1 1 3
0 1 3
2 3 3
2 0 1
10 8
0 5 5
1 0 4
2 1 0
4 1 3
2 1 5
2 0 5
1 5 2
4 3 5
2 1 4
2 0 3
10 3
1 4 2
3 2 0
1 3 0
0 3 3
2 0 2
3 3 1
0 2 1
0 3 4
2 0 1
2 1 3
10 3
4 1 4
1 2 2
4 1 2
4 3 0
2 0 0
4 0 2
0 1 2
3 0 1
0 0 0
3 2 1
10 6
1 1 2
2 2 3
2 2 0
1 3 0
2 3 0
0 3 1
0 3 3
3 2 3
1 2 0
2 0 2
10 9
1 0 1
3 5 5
2 1 3
1 3 4
2 3 2
5 1 3
0 3 2
5 2 1
5 1 5
1 1 2
10 3
2 3 2
0 2 4
2 0 0
4 0 2
3 0 2
4 3 1
3 0 4
0 2 0
4 4 2
3 1 4
10 8
2 1 2
1 0 0
0 0 2
1 0 2
2 2 0
0 0 1
1 2 0
0 2 0
1 2 2
1 1 2
10 4
0 1 0
0 0 1
1 0 2
2 2 3
3 2 1
1 1 0
3 2 2
2 3 0
1 1 3
3 3 3
10 2
3 5 5
0 0 1
2 1 1
0 2 1
5 4 3
5 0 0
3 4 1
5 4 0
1 0 1
4 0 0
10 6
3 3 0
2 0 0
0 3 0
3 2 0
0 2 3
0 1 0
0 3 3
0 0 3
2 3 1
0 0 1
10 5
2 0 2
2 0 0
1 0 1
2 1 0
0 1 0
1 2 1
0 0 1
2 1 1
0 1 1
0 1 2
10 4
1 2 2
2 1 2
0 0 2
2 0 0
0 2 2
0 0 0
0 1 0
1 0 1
0 2 0
2 0 1
10 8
4 1 0
3 1 2
4 4 3
4 0 0
0 0 1
2 5 5
3 3 1
5 3 2
4 4 2
4 2 4
10 6
4 3 4
4 0 2
4 0 1
3 4 0
0 4 4
2 3 4
1 2 1
4 3 1
1 0 1
3 3 2
10 5
2 0 4
1 2 3
0 3 1
0 0 2
3 0 3
3 3 4
0 2 4
2 4 1
0 1 3
4 1 2
10 6
3 0 0
1 1 1
3 3 3
1 1 3
0 1 1
0 2 0
2 0 1
2 1 3
0 3 1
1 2 2
10 3
2 0 0
0 0 3
3 1 0
1 0 0
0 0 1
1 2 3
3 3 2
0 2 1
2 3 3
2 3 0
10 8
1 2 0
4 5 3
0 0 0
4 4 2
0 5 0
4 5 1
2 2 1
4 2 2
3 0 3
3 4 0
10 9
0 2 3
1 3 0
0 3 3
3 3 2
1 1 1
1 3 1
1 2 1
2 1 2
1 1 3
1 0 2
10 6
3 3 3
5 5 0
2 1 0
1 5 3
2 2 4
0 5 4
0 4 5
5 3 4
0 4 1
0 3 0
10 9
1 2 0
2 2 2
2 0 2
2 1 1
1 1 2
2 2 0
1 0 1
1 2 2
0 1 0
0 0 2
10 5
1 3 1
0 0 0
1 2 1
0 0 2
3 1 2
1 3 0
1 1 2
1 0 2
2 0 1
1 2 0
10 4
2 1 0
0 1 0
0 1 1
2 2 0
2 1 2
2 0 2
0 2 0
1 1 0
2 2 2
0 0 0
10 9
2 2 0
2 0 1
0 0 1
0 2 0
2 0 2
0 2 2
0 1 2
0 0 2
0 1 1
2 1 0
10 8
0 1 0
0 0 1
1 1 0
2 0 2
1 1 2
2 2 0
2 0 0
2 0 1
2 2 2
1 0 2
10 6
2 1 2
0 1 0
0 0 0
1 2 2
1 0 0
1 2 1
1 1 0
2 0 1
2 0 2
2 1 0
10 6
1 4 3
2 3 3
5 5 2
3 2 3
1 3 1
1 0 1
3 4 2
3 3 2
4 4 5
0 0 3
10 5
1 3 0
1 0 1
0 1 1
0 3 2
1 0 3
2 2 0
3 1 1
3 2 3
2 1 2
3 3 2
10 6
1 3 2
5 2 0
3 1 2
4 5 5
2 3 0
0 4 3
4 2 1
3 0 4
0 1 1
5 3 3
10 7
2 1 3
3 3 2
1 1 2
1 3 1
3 0 3
2 0 2
2 2 0
2 0 3
1 2 0
1 0 0
10 3
1 2 3
1 1 0
3 0 1
0 0 1
0 3 3
1 1 1
3 1 0
2 1 2
3 0 3
3 1 3
10 3
0 5 1
1 2 3
3 0 1
1 3 3
4 0 0
2 0 1
0 1 0
5 2 4
1 0 5
2 2 2
10 2
2 1 3
5 5 1
4 4 2
1 3 5
0 1 0
1 5 2
4 3 4
4 3 2
2 1 5
4 1 0
10 7
1 2 0
3 3 1
2 4 4
2 2 0
2 1 2
1 3 2
0 2 3
1 4 1
2 3 2
4 2 0
10 2
1 3 1
3 1 3
3 2 2
2 3 2
1 1 3
1 1 1
2 3 0
0 0 1
0 2 1
1 3 0
10 3
2 0 2
1 2 0
2 0 1
1 1 0
3 2 0
0 2 0
1 3 0
3 1 1
3 3 1
1 2 1
10 5
2 2 2
2 2 0
0 1 1
0 1 2
1 1 0
1 1 2
0 2 1
0 0 2
0 2 0
1 2 2
10 4
1 4 0
0 4 3
1 0 4
3 2 1
1 1 4
3 0 3
3 4 2
0 2 2
4 1 3
2 4 3
10 8
2 3 2
2 1 2
1 2 2
0 0 2
3 2 1
1 1 0
3 1 3
1 0 2
3 2 0
3 3 2
10 6
2 4 1
2 4 3
4 3 0
3 3 1
2 3 2
2 4 4
0 2 3
2 3 4
1 3 1
2 1 3
10 3
4 4 2
2 4 0
4 3 2
0 0 3
0 2 0
1 0 4
2 0 2
3 3 4
2 2 0
4 2 2
10 7
3 1 2
3 4 3
2 4 1
4 1 2
3 4 4
0 0 5
5 0 5
4 1 0
2 5 5
0 3 1
10 2
0 1 3
1 5 4
4 2 3
1 0 2
0 0 5
2 1 0
3 0 4
3 5 3
1 4 3
1 4 1
10 7
0 0 1
1 1 0
2 0 0
4 2 3
0 0 3
2 3 1
0 4 0
3 4 3
0 4 1
1 0 3
10 3
2 1 0
2 2 2
0 1 1
1 1 1
2 2 1
0 2 1
1 2 0
1 0 0
2 0 0
1 2 1
10 8
2 0 2
0 0 2
2 2 0
2 0 0
2 0 1
1 1 2
2 1 0
0 1 1
0 1 0
0 0 0
10 3
4 1 1
4 2 2
4 1 0
4 0 1
4 1 4
0 1 3
4 0 3
3 2 4
0 2 1
3 3 1
10 9
2 2 1
3 0 1
0 3 1
2 0 1
2 2 0
3 3 3
3 0 0
0 3 3
2 1 1
3 1 2
10 6
1 0 0
0 1 0
0 2 2
0 2 1
2 0 2
1 1 0
2 2 1
2 2 2
1 2 2
2 2 0
10 4
0 2 3
1 5 3
1 3 0
4 5 5
0 2 1
2 3 0
3 2 2
0 1 3
0 2 0
3 2 5
10 8
0 3 2
1 3 3
1 1 3
2 0 2
1 2 2
1 1 1
0 1 3
3 2 1
2 2 1
0 1 1
10 8
1 1 3
0 2 0
3 0 0
1 0 0
3 2 2
2 3 0
2 2 1
1 3 1
1 2 3
3 2 0
10 4
2 2 5
5 5 0
2 3 5
3 4 5
4 0 1
4 3 4
0 4 3
4 3 1
2 1 4
0 0 5
10 5
0 1 0
1 1 2
1 0 2
1 1 1
2 2 1
0 1 2
1 2 1
0 0 2
2 0 0
2 2 0
10 5
5 4 2
4 4 2
5 0 5
0 3 1
5 5 0
2 0 3
2 3 3
1 1 0
4 1 1
4 2 2
10 9
1 0 1
0 1 1
2 1 1
1 2 2
1 2 1
0 2 0
1 0 2
0 0 0
2 2 1
0 0 1
10 2
0 0 2
2 0 0
2 1 2
2 1 0
0 1 2
1 2 1
0 2 1
0 2 0
2 2 1
0 1 1
10 7
1 2 1
2 2 0
2 2 2
1 1 2
0 1 1
0 0 1
1 0 0
2 1 2
1 0 2
2 1 1
10 5
2 3 2
3 1 3
3 3 0
2 2 1
0 2 1
1 0 3
1 2 2
0 2 0
1 1 1
2 2 0
10 3
4 4 0
3 4 0
4 0 4
1 0 3
1 2 1
4 0 2
1 3 3
4 1 0
4 3 0
3 4 2
10 3
0 2 1
2 0 1
2 2 2
2 1 1
0 1 1
0 0 0
0 2 0
1 1 2
1 1 1
0 2 2
10 6
0 0 3
0 2 1
2 0 0
3 0 2
3 0 3
2 3 3
3 1 1
0 3 3
3 2 0
2 2 1
10 4
0 3 4
1 4 0
4 3 2
3 4 1
0 2 3
2 3 1
2 0 4
0 3 0
4 4 1
0 1 3
10 8
3 1 5
0 2 5
2 2 3
4 4 5
2 5 3
2 1 4
0 3 5
1 1 3
4 5 0
1 2 3
10 4
1 1 0
0 2 0
0 0 1
2 0 2
1 0 0
0 0 0
0 1 2
2 1 0
2 2 1
1 2 0
10 2
2 0 2
2 1 3
0 0 1
3 3 1
1 0 0
1 0 2
3 2 3
3 1 0
0 1 2
3 2 0
10 9
4 3 2
0 1 5
5 0 1
3 2 1
3 5 0
3 1 3
5 5 5
0 5 3
3 0 0
2 0 5
10 8
0 0 3
3 2 2
1 3 0
3 3 0
0 1 3
1 3 2
2 0 1
3 1 2
3 1 3
3 0 2
10 9
0 0 1
0 2 1
2 2 0
2 0 2
0 1 1
0 1 0
2 1 1
1 1 0
1 1 2
0 0 0
10 2
1 3 4
3 3 3
1 4 2
4 3 0
0 3 1
2 3 3
1 4 1
0 4 0
2 3 1
0 0 0
10 6
3 0 4
2 5 4
5 4 3
3 4 5
4 3 5
5 2 1
4 5 3
5 0 1
1 3 4
5 3 2
10 2
1 0 2
1 2 2
2 2 1
1 2 0
2 0 0
2 1 1
2 0 2
1 0 1
0 2 0
2 0 1
10 6
0 2 1
1 2 1
1 2 0
0 0 1
1 1 2
0 2 2
1 0 1
0 2 0
0 0 0
2 2 1
10 2
0 0 0
1 3 0
0 2 0
3 0 1
3 0 3
2 3 2
3 3 3
2 1 2
3 3 2
2 0 2
10 2
0 0 0
0 0 2
2 0 2
1 2 0
0 1 1
2 2 2
1 0 0
0 0 1
2 0 0
1 0 2
10 8
2 3 5
0 2 0
5 5 1
5 0 0
1 1 4
0 1 5
0 2 2
3 3 5
5 3 4
3 2 2
10 4
3 1 1
1 1 0
1 2 0
2 1 2
0 2 0
0 1 1
1 3 0
1 1 1
0 2 3
1 0 2
10 4
2 1 1
0 2 0
2 1 3
1 3 2
2 0 0
3 2 1
1 3 0
0 2 3
0 0 3
0 1 3
10 8
4 4 3
3 4 2
0 4 2
1 4 1
3 3 0
1 3 0
3 0 4
2 2 3
0 4 0
3 0 0
10 2
1 0 0
0 0 2
1 2 2
2 0 0
1 0 1
0 2 1
0 0 1
0 1 2
0 2 0
2 2 2
10 7
1 3 0
4 5 4
0 1 2
2 3 2
1 0 1
0 0 2
3 0 1
2 1 5
4 4 1
3 1 0
10 5
3 2 4
4 0 4
2 2 0
4 0 2
4 1 0
4 1 2
1 2 1
2 0 2
3 4 3
2 3 0
10 3
2 1 3
2 3 3
0 4 2
4 1 3
4 1 2
2 1 4
2 0 3
4 3 3
3 3 3
0 2 4
10 2
4 0 4
3 2 3
2 5 2
1 0 5
5 5 0
0 3 1
1 5 5
2 2 0
0 5 5
5 4 0
10 2
0 2 1
2 1 1
0 0 0
2 2 2
1 0 1
1 2 1
0 0 2
2 0 2
2 0 0
0 1 1
10 5
1 1 2
1 0 2
1 2 0
0 1 1
2 1 0
2 2 2
1 0 1
2 0 1
0 0 0
1 2 2
10 2
1 1 3
3 2 3
3 1 3
3 1 1
2 1 3
2 1 0
0 2 3
3 3 0
3 2 0
1 1 1
10 8
2 1 2
1 2 1
1 1 2
0 2 1
0 0 2
0 0 1
1 0 0
0 1 2
2 2 2
1 0 2
10 2
2 1 2
1 2 0
0 2 2
2 0 2
1 0 1
0 0 2
2 2 1
2 2 0
0 2 0
0 1 0
10 4
0 1 2
2 0 0
2 0 1
1 2 0
0 1 1
0 2 1
1 1 1
0 0 1
0 1 0
1 2 1
10 2
1 1 4
2 1 2
3 1 3
1 4 0
3 0 3
3 0 4
4 1 4
1 2 3
4 1 1
2 0 4
10 4
1 0 1
2 3 0
2 1 0
3 0 3
2 2 2
0 3 2
0 0 2
1 1 0
2 2 0
2 1 1
10 7
2 4 4
0 5 0
3 3 3
0 4 4
5 4 1
2 2 1
3 2 1
2 1 5
4 5 2
1 0 4
10 7
1 4 1
1 0 1
0 3 1
2 2 2
5 0 3
4 3 0
0 1 0
4 1 0
3 0 5
1 1 1
10 9
1 1 0
1 2 2
4 1 4
0 3 3
0 1 0
1 3 2
1 4 1
0 3 2
1 2 0
4 1 3
10 3
1 5 5
3 2 0
4 2 5
3 4 1
5 2 4
4 3 5
2 1 3
3 3 5
1 5 4
2 0 5
10 6
2 5 1
4 3 5
4 2 1
3 2 5
5 1 2
5 2 2
1 0 2
5 2 1
2 1 2
3 5 1
10 6
4 3 5
2 3 5
4 5 1
2 1 4
1 4 3
5 5 3
1 3 5
4 0 2
3 2 1
3 4 4
10 9
3 3 2
0 4 1
4 4 3
3 0 1
2 2 1
2 2 2
3 1 2
1 1 1
3 2 4
3 2 3
10 9
0 2 1
0 0 2
2 2 0
2 0 0
2 1 2
1 1 1
0 1 2
1 2 0
1 2 2
0 0 0
10 8
0 0 0
0 2 1
1 1 1
1 2 1
1 2 2
2 1 1
0 1 1
2 2 0
2 2 1
0 0 1
10 9
3 3 4
2 4 3
3 4 1
1 1 3
4 4 1
4 2 0
1 4 2
0 4 3
4 3 0
3 2 4
10 6
2 0 2
2 1 2
0 1 0
0 0 0
1 2 2
2 2 2
2 2 1
1 1 2
1 1 1
1 0 1
10 9
4 3 2
1 1 1
2 4 3
2 2 3
3 1 1
1 0 0
3 2 1
2 3 4
2 4 1
4 2 1
10 7
3 3 0
0 0 1
2 0 1
2 3 0
0 2 3
2 1 3
3 2 1
1 0 0
3 1 3
0 0 2
10 9
1 0 1
5 3 0
4 1 5
2 4 5
5 1 0
5 5 4
5 5 2
3 0 1
2 0 4
4 5 0
10 5
2 0 2
2 2 3
2 2 0
0 0 1
1 1 3
3 1 3
1 1 2
1 3 0
1 0 0
0 2 3
10 2
2 2 2
1 1 3
1 0 2
1 2 2
2 2 1
2 1 2
1 2 3
1 3 2
0 2 1
2 3 2
10 3
1 4 0
2 2 0
3 2 0
3 2 2
0 2 2
3 1 1
0 4 1
4 0 1
3 4 4
1 3 0
10 9
1 2 4
1 3 5
5 5 3
4 4 5
5 4 0
4 3 1
0 3 4
2 5 0
3 4 2
2 5 2
10 9
2 2 1
1 1 1
2 1 0
0 0 2
0 2 1
0 0 1
0 1 2
0 1 1
2 2 2
1 0 2
10 7
1 3 0
2 2 1
0 2 3
0 1 0
0 3 1
0 3 3
3 3 3
0 2 0
0 2 1
3 0 1
10 5
0 0 4
0 4 4
4 1 4
0 1 1
4 4 1
4 4 3
3 1 0
3 2 4
3 3 0
4 3 0
10 5
1 0 2
0 1 0
0 0 2
1 1 0
2 2 1
2 0 0
2 0 1
0 1 2
1 2 1
0 1 1
10 2
1 1 3
5 1 2
1 2 3
2 5 0
2 2 2
3 5 2
1 1 0
2 0 5
0 0 3
4 4 4
10 9
0 0 0
2 1 2
1 0 0
0 0 1
0 2 2
1 2 0
0 2 0
1 1 0
1 2 2
0 1 1
10 7
2 3 3
4 0 4
3 0 3
3 0 4
1 1 0
3 4 3
2 2 0
1 1 2
4 1 3
3 2 2
10 4
2 2 1
1 2 0
0 2 2
0 1 1
1 0 0
1 0 2
1 2 1
2 1 2
1 1 2
2 0 1
10 2
3 2 5
3 2 3
2 4 4
0 5 5
1 4 4
0 2 5
3 1 3
4 3 1
1 4 1
0 4 1
10 4
2 2 2
2 1 1
2 0 2
1 1 2
2 2 1
1 1 0
0 1 1
2 2 0
1 0 0
2 0 1
10 4
1 1 0
2 0 0
0 2 0
2 2 1
2 1 0
0 1 0
1 2 1
0 1 1
0 0 0
1 0 1
10 7
5 5 3
4 3 5
3 3 4
3 3 1
0 1 3
3 2 1
1 2 3
3 0 5
0 2 1
0 0 1
10 9
1 2 4
3 4 1
4 2 1
4 4 4
0 0 4
1 3 4
4 1 4
2 4 0
3 1 2
1 0 1
10 9
1 1 0
2 0 1
1 1 1
2 0 2
0 2 0
2 2 0
1 0 1
2 2 1
1 2 0
1 1 2
10 6
1 2 3
0 2 2
3 3 1
1 0 0
1 0 2
2 1 3
3 2 2
1 2 0
1 1 3
2 1 0
10 6
0 0 1
1 0 1
1 1 2
0 2 1
1 0 2
1 2 2
0 0 2
0 1 1
1 2 1
0 2 0
10 3
1 0 2
0 0 2
0 0 1
1 0 0
0 1 2
2 1 1
0 2 2
0 2 0
0 2 1
2 0 0
10 2
0 2 2
2 2 2
3 2 2
1 0 0
0 2 1
3 3 2
0 0 3
2 3 2
1 2 3
1 2 2
10 6
2 0 1
1 0 0
1 1 0
2 2 2
2 2 0
2 1 2
2 1 1
0 0 1
0 2 1
0 1 0
10 5
1 2 0
0 0 2
1 2 1
0 2 2
2 1 2
1 1 2
0 1 0
0 2 1
1 1 1
0 0 0
10 5
2 3 3
1 0 2
3 2 0
3 0 0
2 2 0
0 0 0
3 1 2
1 3 3
2 1 2
1 0 0
10 7
2 1 3
1 2 1
2 0 3
2 2 0
1 3 1
0 0 1
1 2 2
3 3 3
0 3 2
2 0 2
10 8
0 0 4
5 0 1
3 1 0
0 2 5
4 0 4
5 4 5
3 3 2
5 2 2
0 0 1
3 2 0
10 3
1 1 2
2 3 3
1 2 1
2 0 1
0 3 0
2 1 2
1 3 2
3 1 2
2 2 3
0 0 1
10 3
3 2 3
0 1 4
0 0 5
1 5 0
1 0 2
5 1 0
1 4 0
1 3 3
3 2 1
5 5 5
10 2
2 0 2
0 1 2
0 2 2
1 1 2
2 0 1
0 2 1
0 0 0
2 1 0
1 1 1
1 2 0
10 5
1 2 3
0 2 0
2 2 3
3 3 2
1 3 3
1 1 2
0 1 1
3 2 2
1 0 2
3 1 2
10 3
2 0 2
1 2 3
1 1 2
3 2 0
3 1 3
2 3 2
1 0 2
3 0 1
1 1 0
2 3 3
10 8
3 1 1
2 2 2
3 3 2
3 2 3
2 2 0
4 1 2
2 0 1
2 0 3
0 0 1
0 1 4
10 8
3 0 3
2 0 1
2 3 3
0 1 0
0 2 0
3 1 1
2 3 2
2 2 3
1 3 2
0 0 0
10 8
2 2 2
1 2 1
0 0 2
2 0 0
2 0 2
1 2 0
1 0 1
1 0 2
1 1 1
1 0 0
10 9
2 3 2
4 2 2
1 2 4
2 3 1
1 1 2
1 0 4
1 1 0
4 0 3
2 4 2
2 1 3
10 7
1 1 5
5 2 2
1 4 2
0 4 4
1 2 1
0 1 3
5 0 2
2 2 1
3 1 4
4 0 4
10 9
2 4 0
4 2 1
2 0 2
0 0 1
1 0 3
3 3 2
2 2 0
4 2 3
0 4 1
0 4 3
10 6
1 1 0
1 1 1
1 1 2
0 1 1
1 0 0
0 2 0
2 1 0
2 2 1
2 0 0
0 1 0
10 6
1 2 3
4 0 0
0 2 1
3 3 3
3 2 4
2 1 0
2 2 4
1 1 0
3 2 0
1 3 1
10 9
1 3 0
4 2 3
1 4 3
4 3 2
0 4 3
2 4 2
2 3 0
1 0 4
1 3 4
2 4 1
10 6
0 1 1
0 2 0
0 0 2
2 2 2
1 1 2
2 0 0
1 0 2
0 0 1
0 1 0
1 1 0
10 2
0 1 2
0 1 0
2 0 2
1 0 1
0 2 1
1 2 2
1 0 0
1 2 0
0 2 0
2 2 2
10 3
3 0 3
0 4 1
4 2 0
4 1 1
1 3 2
0 4 3
0 2 3
2 2 4
0 2 4
3 1 2
10 4
0 0 1
0 1 0
3 0 1
1 1 2
3 2 0
2 3 2
0 2 1
3 3 1
1 3 3
2 0 1
10 4
1 1 2
1 2 0
1 0 2
1 0 0
2 0 1
0 2 0
2 2 2
2 1 1
2 0 0
2 0 2
10 2
4 5 2
2 0 0
0 3 1
0 1 5
0 5 3
4 4 3
4 2 3
1 3 3
2 1 1
2 4 3
10 7
0 1 3
3 3 5
4 0 0
4 4 0
0 0 3
1 2 3
3 3 4
5 5 4
3 2 4
5 0 1
10 7
2 4 4
4 3 1
2 3 0
0 0 0
3 4 4
1 4 4
4 3 2
4 0 2
1 2 0
3 0 2
10 2
3 5 3
1 2 1
0 0 5
3 1 5
2 3 1
3 1 4
3 5 2
0 0 2
2 3 0
1 4 5
10 2
1 3 5
2 3 4
4 5 2
0 3 3
5 4 2
1 2 2
5 0 4
0 5 4
4 0 4
4 0 2
10 2
1 5 2
4 5 4
3 0 0
1 4 2
1 0 1
3 4 3
2 1 2
5 1 2
5 4 0
5 0 4
10 3
2 0 5
5 2 4
4 4 5
1 5 5
2 3 0
5 3 2
4 0 2
4 0 5
1 1 5
3 0 0
10 4
2 1 5
1 1 0
5 5 4
0 4 4
3 3 0
1 0 4
2 3 5
0 2 3
3 1 5
3 4 1
10 6
3 0 5
4 0 1
3 1 1
5 3 5
1 4 4
5 5 3
1 1 1
2 4 0
4 5 5
3 4 0
10 4
1 4 4
4 4 3
4 1 1
2 2 2
1 3 0
4 0 3
1 3 2
0 0 0
2 0 3
3 0 2
10 8
1 1 2
1 2 0
2 1 2
0 2 2
1 0 1
1 2 2
0 2 1
1 0 2
1 0 0
0 1 1
10 6
3 1 3
2 1 3
3 0 0
0 0 0
3 1 1
2 3 3
1 2 2
2 0 2
2 1 0
1 0 2
10 2
4 4 2
4 0 0
1 0 4
0 4 2
1 1 0
4 1 0
4 1 4
0 1 1
0 1 0
3 2 0
10 6
2 3 3
4 3 0
3 1 0
2 4 0
5 4 1
3 5 3
3 2 3
3 3 5
2 5 5
0 5 5
10 6
2 1 0
1 3 4
2 0 2
4 1 4
0 4 2
0 4 3
3 0 2
1 2 0
4 3 0
4 2 4
10 4
1 0 3
2 1 2
1 3 3
1 2 0
2 2 1
0 1 3
2 0 3
1 0 0
0 2 2
2 2 0
10 8
0 2 3
2 1 1
0 3 1
0 1 1
2 3 2
0 1 3
1 1 3
1 3 0
3 2 1
3 2 2
10 7
3 2 0
4 3 4
5 1 1
2 0 5
0 2 0
5 0 5
5 0 4
3 2 3
5 1 5
3 1 4
10 7
1 3 2
0 1 2
3 2 3
0 3 1
3 2 2
2 0 1
0 2 3
2 0 3
0 2 0
0 3 3
10 5
3 4 2
4 0 1
1 0 0
2 3 0
4 4 4
4 3 2
0 1 2
0 2 1
1 4 1
0 0 3
10 3
2 1 0
2 2 2
2 2 1
0 0 2
1 1 2
1 2 1
1 2 0
1 0 0
1 0 2
0 2 1
10 6
0 5 1
2 1 1
2 2 1
2 4 2
3 1 4
5 2 4
4 2 2
0 3 5
3 2 2
4 1 0
10 7
0 2 3
1 4 1
1 4 0
1 0 2
2 2 2
0 3 1
2 1 0
4 2 2
2 2 4
0 0 1
10 4
0 0 1
0 2 0
4 5 5
1 4 1
5 4 1
4 2 4
5 4 3
3 0 0
0 1 0
3 5 3
10 2
0 2 1
0 0 0
2 0 2
2 2 0
1 0 2
1 0 0
1 1 2
1 2 1
0 0 1
1 2 2
10 6
1 1 2
2 2 1
0 1 2
2 1 0
1 0 2
0 1 1
2 1 1
2 0 1
0 2 0
1 2 2
10 2
3 4 4
5 4 5
4 5 0
4 5 4
3 3 3
1 1 4
4 5 1
1 0 1
2 5 3
2 4 5
10 9
0 1 2
1 5 4
4 2 0
0 0 4
2 0 2
0 5 5
1 5 3
5 1 1
2 1 2
0 3 0
10 3
0 5 5
5 1 2
1 5 5
1 4 1
2 4 2
4 4 2
0 3 3
4 5 0
2 1 2
1 5 4
10 7
0 3 1
5 1 4
4 5 0
3 4 4
4 2 0
1 0 1
1 3 5
5 5 1
4 1 2
2 1 3
10 9
0 0 1
0 2 4
4 2 2
2 3 3
4 3 3
4 1 2
4 1 0
1 0 3
2 2 3
0 3 4
10 6
2 1 2
2 1 0
2 0 2
0 2 2
0 0 1
2 1 1
1 1 0
1 0 1
0 1 0
2 2 2
10 9
2 2 1
0 0 0
1 0 1
2 1 0
1 2 2
2 1 2
1 0 2
0 1 0
0 2 2
1 0 0
10 8
1 3 0
1 0 1
1 1 2
1 2 0
3 3 0
0 3 3
2 1 3
3 1 0
0 2 3
3 1 2
10 2
2 1 2
2 0 0
2 1 0
2 0 1
1 1 2
1 2 1
1 0 1
1 0 2
1 0 0
2 2 0
10 3
0 2 4
3 4 2
2 3 1
2 3 4
2 4 3
1 3 0
2 0 4
2 0 2
0 4 3
1 3 4
10 8
1 2 3
2 2 1
1 1 0
2 1 0
0 0 3
3 0 2
3 2 3
0 2 2
1 3 1
0 2 3
10 4
0 1 2
2 0 2
0 1 1
1 0 0
0 2 0
0 0 0
0 2 1
2 0 0
2 1 1
0 2 2
10 5
2 3 2
0 1 3
2 1 3
0 3 1
0 0 0
1 1 1
3 3 3
3 2 3
1 0 0
2 0 0
10 2
4 3 3
5 2 5
3 5 1
0 3 3
2 4 0
0 5 4
0 4 0
0 1 5
0 5 2
0 0 1
10 9
1 2 1
0 1 2
0 2 1
2 2 0
2 1 1
0 1 1
2 0 1
1 0 1
1 2 0
2 0 0
10 8
2 1 1
0 1 1
0 1 0
0 1 2
1 2 2
0 0 1
2 1 0
0 0 0
1 1 2
0 2 0
10 3
3 0 0
2 2 0
0 1 0
1 1 2
1 1 1
1 2 1
1 1 0
1 0 1
0 0 3
0 1 3
10 2
1 1 1
2 1 0
1 1 2
1 1 0
0 0 2
2 1 2
0 2 2
0 2 1
1 2 0
2 0 0
10 4
0 1 2
2 2 2
0 0 2
1 0 1
2 2 1
0 0 0
2 1 1
1 2 2
0 2 1
1 1 1
10 9
2 3 0
2 3 3
3 0 2
3 0 3
0 2 1
2 3 1
0 0 2
0 1 0
0 0 0
2 0 3
10 6
2 1 2
3 1 4
0 3 2
2 4 1
0 3 0
4 0 3
4 3 4
3 4 1
4 0 1
2 2 3
10 4
0 2 2
1 2 2
0 2 0
2 1 0
2 1 1
1 1 1
0 0 2
1 0 0
1 0 2
2 0 0
10 4
1 1 1
3 3 4
0 0 0
1 3 4
4 4 2
1 1 3
3 4 3
0 1 0
2 4 0
4 2 3
10 9
0 1 1
1 0 2
0 1 2
2 2 1
1 2 1
0 2 0
1 1 2
2 1 2
0 0 1
2 0 1
10 5
2 2 3
2 3 3
3 0 2
3 3 3
2 3 2
0 1 3
3 2 3
2 1 2
3 0 1
0 0 2
10 7
0 0 0
1 1 1
2 1 0
1 2 1
1 1 0
2 0 1
1 0 2
2 2 2
0 2 1
1 0 1
10 6
1 3 1
0 4 3
1 4 4
1 0 3
1 2 3
4 2 2
2 2 2
1 3 0
0 1 3
2 3 2
10 8
4 5 0
3 5 0
3 2 3
1 4 4
1 0 1
0 1 2
4 4 3
4 2 1
2 1 3
3 2 4
10 8
4 0 0
0 4 2
2 1 2
2 4 5
4 3 5
4 0 4
1 0 4
5 4 3
0 5 1
1 4 5
10 4
4 0 1
0 1 3
0 0 4
4 1 1
5 0 3
2 5 4
3 3 1
2 0 5
1 5 4
5 2 1
10 5
1 1 4
1 0 3
2 1 4
1 4 1
4 1 1
2 0 3
3 1 3
4 3 2
4 0 1
3 1 4
10 3
0 1 4
3 4 2
1 0 3
1 2 3
3 2 0
0 3 0
0 2 2
0 3 1
4 2 0
1 4 0
10 5
1 2 5
4 2 5
0 3 4
4 2 1
5 5 5
3 0 0
5 3 5
1 5 4
4 0 1
0 3 3
10 7
2 0 1
5 4 5
1 2 3
0 3 4
1 1 1
5 0 4
4 0 5
5 4 2
5 5 1
0 5 4
10 3
1 0 0
0 2 1
1 1 1
0 0 2
1 2 0
1 2 2
0 0 0
1 1 2
1 2 1
0 1 1
10 2
0 1 0
1 2 0
2 1 0
1 0 1
1 0 0
0 0 2
2 1 1
0 2 0
2 2 1
2 2 0
10 3
0 0 2
0 2 0
1 1 0
2 2 1
2 2 2
2 0 2
0 0 0
0 0 1
0 1 1
2 1 1
10 8
3 0 5
1 2 3
4 0 4
5 5 2
0 0 0
3 3 1
0 0 3
2 5 5
4 1 1
0 4 1
10 9
2 4 1
4 2 3
1 4 1
4 0 2
2 1 0
4 1 4
2 2 1
0 4 3
1 0 1
0 1 2
10 3
1 0 4
3 3 3
3 3 0
1 4 4
0 4 3
3 0 0
1 3 3
4 2 1
2 1 2
0 0 0
10 3
1 0 1
5 3 5
0 5 4
2 0 2
4 2 2
4 1 2
4 0 0
0 5 2
1 1 2
4 1 0
10 7
1 2 1
1 0 0
2 2 0
0 1 0
1 1 2
2 0 2
0 2 2
1 0 1
2 2 2
0 0 1
10 3
0 0 2
1 1 2
2 0 0
1 2 1
0 1 0
1 1 1
1 0 0
2 1 1
0 1 1
0 2 0
10 8
1 0 2
2 2 1
1 0 0
0 0 1
2 1 1
1 1 1
1 1 0
2 0 2
2 0 0
1 2 1
10 5
0 5 4
0 0 0
4 3 3
5 4 3
1 2 1
2 4 2
2 3 5
2 1 3
2 0 5
2 1 2
10 5
5 4 1
4 3 5
5 3 5
3 5 3
0 3 0
5 3 0
4 0 5
2 0 0
1 3 1
3 2 0
10 9
2 4 2
3 0 3
1 4 4
4 1 1
1 3 1
0 2 2
2 3 1
3 3 2
1 0 2
0 2 4
10 2
1 3 2
2 2 3
2 0 0
4 4 0
4 3 0
3 2 3
2 0 1
4 4 4
2 4 3
0 1 3
10 6
0 1 3
0 1 0
0 2 2
2 3 0
1 0 2
2 2 3
1 2 0
3 1 3
2 3 2
2 0 1
10 8
0 0 1
2 0 2
0 1 1
0 1 2
0 1 0
0 0 0
1 1 1
2 1 1
1 0 2
1 0 1
10 8
2 1 2
0 1 2
3 2 0
0 1 0
0 2 0
3 1 0
2 0 0
2 0 3
0 3 1
2 1 3
10 8
0 1 0
4 4 1
3 1 1
5 3 0
1 0 4
5 4 5
0 4 1
0 1 3
4 4 4
4 3 3
10 6
0 0 1
2 1 2
1 1 1
0 2 1
3 0 0
1 3 2
0 1 0
0 0 3
3 1 2
3 0 2
10 5
0 2 3
0 3 3
1 3 1
3 2 4
0 2 4
1 0 5
5 4 0
5 1 0
1 2 3
5 3 3
10 9
2 2 2
0 1 1
2 2 0
0 2 0
0 1 0
0 0 0
1 0 0
1 1 0
0 2 1
0 0 2
10 2
2 2 2
2 1 0
0 2 1
1 0 1
0 2 2
0 2 0
0 1 2
0 1 0
1 0 2
2 0 2
10 6
1 0 1
0 3 1
0 2 2
3 3 1
2 1 3
3 2 0
3 0 0
2 0 0
1 3 0
2 1 1
10 9
1 1 4
3 3 1
3 5 0
4 4 5
1 3 2
0 1 2
5 5 2
4 5 0
3 2 1
0 0 2
10 7
3 2 2
2 2 2
0 0 3
5 2 3
1 3 4
1 0 1
3 0 2
0 3 2
4 1 2
0 5 2
10 2
0 0 3
3 0 2
2 0 2
2 0 3
3 2 1
0 0 0
2 1 0
1 2 1
1 2 0
3 2 2
10 4
2 0 2
2 2 2
2 0 0
1 1 0
0 0 2
1 1 1
2 2 1
1 0 0
2 1 1
2 1 2
10 5
2 4 0
0 0 1
2 4 1
1 3 3
4 4 1
2 2 0
2 1 1
0 0 2
0 0 3
1 0 2
10 4
2 3 1
4 1 2
1 4 1
0 3 1
0 0 2
2 3 4
4 3 2
1 1 4
3 3 0
2 2 2
10 7
1 3 2
3 4 2
2 4 1
0 3 2
0 4 3
3 0 1
0 2 3
0 4 0
0 0 0
3 3 1
10 3
0 2 2
0 1 2
0 0 2
1 1 2
0 2 0
1 1 0
1 0 1
0 1 1
1 2 2
2 0 0
10 2
0 1 4
1 1 1
0 1 2
4 4 4
1 5 5
1 2 5
4 1 5
0 1 1
5 2 0
5 4 4
10 9
3 1 3
1 3 2
1 1 1
3 2 1
2 2 1
0 1 1
0 2 0
2 1 2
3 0 1
1 2 2
10 6
5 3 5
0 3 5
2 2 0
3 1 2
3 4 0
2 3 3
1 3 2
3 2 2
1 1 5
2 1 2
10 5
2 2 0
0 1 0
2 2 1
1 1 2
2 0 0
2 0 2
2 1 1
0 2 2
0 0 1
0 1 2
10 7
1 2 3
3 2 1
3 3 0
1 2 0
0 0 2
0 2 0
3 0 0
2 1 3
0 3 2
1 1 0
10 5
0 2 3
3 2 3
2 0 1
2 3 3
1 2 2
0 3 0
3 3 2
2 2 0
3 0 1
2 1 0
10 2
0 0 0
2 2 1
2 2 2
2 1 1
2 0 0
2 0 1
0 2 1
0 0 2
0 2 2
1 2 2
10 6
3 4 4
2 5 3
2 2 1
2 5 1
3 0 0
5 5 4
0 3 1
3 3 4
4 5 0
1 2 2
10 7
2 2 2
2 3 1
3 2 3
0 1 3
0 0 2
3 1 2
3 1 0
0 2 0
2 2 3
0 1 1
10 2
3 2 1
2 4 3
2 4 1
4 0 0
4 2 4
4 4 3
1 1 3
2 4 0
0 0 1
0 4 3
10 3
0 5 3
4 5 0
3 1 4
5 4 1
4 2 2
1 0 3
0 2 5
0 0 3
5 1 0
2 5 3
10 4
2 1 0
2 0 2
0 0 0
0 1 0
0 1 2
2 0 1
1 2 2
0 0 1
1 2 0
2 2 1
10 8
0 1 3
3 3 2
2 0 1
2 3 3
2 3 1
0 2 1
1 1 0
0 1 2
2 2 2
1 1 2
10 9
0 4 0
1 3 3
2 3 1
4 2 3
4 0 0
4 1 0
0 2 2
2 4 1
3 2 4
1 3 2
10 3
3 0 0
4 0 0
2 0 1
3 4 0
1 0 4
2 2 3
2 1 1
0 4 1
0 4 4
1 2 2
10 2
1 0 1
1 3 1
1 1 3
2 1 2
1 2 2
1 0 0
2 3 0
1 0 3
0 2 0
0 1 3
10 2
3 1 0
0 0 0
1 1 2
0 1 1
3 3 2
2 3 0
3 2 0
2 0 2
0 2 1
3 2 3
10 3
4 1 2
5 1 3
1 3 2
2 4 1
0 4 4
1 2 4
3 0 3
1 0 2
3 0 5
5 3 4
10 2
2 2 0
1 2 2
2 0 2
1 0 2
1 2 0
0 1 2
2 1 0
1 2 1
2 2 1
2 0 1
10 2
3 3 4
3 1 5
3 5 4
0 1 4
0 5 3
1 4 1
4 2 3
0 3 0
0 4 4
5 4 1
10 4
3 3 4
4 1 3
1 1 5
3 4 2
4 0 2
4 0 0
3 4 0
1 4 2
2 4 0
5 0 0
10 4
0 1 0
0 0 0
0 2 1
2 0 2
1 1 0
1 1 1
2 2 0
0 1 2
1 2 2
0 2 0
10 7
3 3 1
4 3 2
3 4 3
1 1 4
1 2 1
2 0 2
4 3 4
1 2 0
3 3 4
1 4 0
10 6
2 0 0
3 1 3
0 4 1
0 4 4
0 3 1
0 1 1
0 4 0
1 2 3
4 2 4
1 1 0
10 3
2 4 2
4 1 0
3 4 3
1 0 0
0 0 1
3 3 4
4 3 2
4 2 0
4 2 2
1 2 0
10 3
1 2 2
2 2 2
2 0 2
1 0 2
2 0 0
2 2 1
2 2 0
1 2 1
2 0 1
0 2 0
10 7
0 2 0
1 0 1
2 2 2
0 2 1
2 0 2
1 0 2
2 1 1
0 0 0
2 1 2
2 2 1
10 4
3 2 3
0 3 1
2 0 2
2 3 0
3 0 3
0 3 3
0 1 2
3 0 2
2 3 2
0 0 2
10 2
4 5 3
2 2 0
5 2 5
5 0 1
4 4 5
1 0 0
3 2 0
0 0 2
2 1 5
5 1 5
10 2
1 0 0
0 0 1
1 0 1
1 1 1
0 2 1
1 1 0
3 3 3
3 1 2
3 0 0
3 3 1
10 8
2 0 2
2 2 1
0 1 2
0 0 2
3 1 1
1 0 2
2 1 3
2 2 2
1 1 0
0 0 3
10 2
0 3 4
0 1 2
3 4 4
0 4 1
2 3 0
3 4 2
1 2 4
3 0 0
0 1 1
0 2 2
10 2
4 0 4
2 4 1
0 1 0
1 3 4
3 1 4
3 3 1
4 1 2
4 2 3
1 2 1
0 1 3
10 9
1 1 1
1 2 0
1 2 1
0 0 1
2 1 0
1 0 2
2 2 2
1 0 1
2 0 1
2 1 2
10 8
1 2 1
0 0 2
0 0 0
1 2 2
0 0 1
2 0 0
1 1 0
2 1 2
1 2 0
2 2 2
10 4
3 0 3
3 1 3
3 2 0
3 2 3
0 1 0
1 3 3
2 3 3
2 2 0
2 2 2
0 2 3
10 4
3 2 4
2 4 5
5 3 4
5 4 1
3 4 5
1 5 3
0 4 5
1 1 5
1 2 5
4 0 5
10 7
1 1 1
3 2 1
5 5 3
2 2 5
3 5 4
4 0 1
4 0 4
1 5 3
4 5 4
1 2 5
10 3
0 2 0
0 3 3
1 3 3
0 1 3
2 0 1
2 1 1
2 1 0
0 3 2
2 0 3
2 2 1
10 2
4 4 1
0 1 4
4 0 3
4 0 4
1 3 4
2 3 3
0 1 0
3 3 3
3 0 4
1 2 3
10 9
3 4 0
3 1 5
4 1 3
5 4 2
1 5 2
2 0 0
5 2 3
2 0 1
5 4 4
5 2 0
10 7
2 1 1
0 1 1
1 1 0
3 0 2
0 0 0
3 3 0
0 3 1
1 0 3
0 3 3
2 2 1
10 8
1 4 2
3 4 3
2 0 3
2 1 2
3 0 2
2 0 4
4 0 0
1 1 0
1 0 3
4 0 2
10 5
3 2 2
0 3 2
0 0 2
3 3 0
2 0 3
3 0 2
2 3 3
2 0 1
1 1 0
3 2 1
10 3
3 2 0
1 2 3
2 1 1
1 0 1
0 0 3
1 3 2
0 1 2
2 1 3
3 1 2
3 3 3
10 5
4 4 3
3 2 4
1 2 0
2 4 3
0 0 4
0 2 4
4 0 0
3 1 4
2 4 0
3 3 2
10 3
0 3 4
3 0 1
3 5 5
5 5 3
3 3 0
5 0 0
1 0 5
2 5 0
5 4 1
1 2 4
10 3
0 2 4
3 5 3
5 3 2
3 5 5
5 0 0
2 3 4
5 0 4
3 2 5
2 0 1
2 2 5
10 9
3 3 2
3 1 4
2 1 0
2 2 0
1 3 1
3 1 3
1 1 1
1 0 2
4 0 0
0 3 0
10 6
3 2 0
4 1 1
2 0 3
1 3 3
2 2 2
1 1 1
4 5 5
1 0 3
3 2 3
4 0 2
10 4
1 2 0
1 2 2
2 0 0
2 1 0
0 1 2
1 1 0
2 2 2
1 2 1
2 2 1
2 0 2
10 6
3 1 3
0 2 0
3 0 0
2 0 1
0 0 3
0 2 2
1 1 2
0 3 1
0 0 0
0 3 0
10 4
0 3 0
1 0 4
3 4 3
3 2 3
3 0 3
3 0 0
4 3 2
1 3 1
4 2 1
0 3 1
10 7
0 2 2
0 1 1
0 1 2
2 0 1
1 1 0
2 0 2
2 2 0
1 2 0
0 2 1
0 0 2
10 5
1 1 1
2 2 3
1 3 1
2 0 2
0 1 1
3 3 2
2 1 0
1 2 0
0 3 0
3 2 1
10 8
2 3 4
0 4 0
2 4 4
0 2 0
3 0 2
0 1 4
4 0 0
4 3 1
3 0 4
3 1 1
10 2
2 2 4
1 1 0
4 1 5
3 5 2
2 1 5
0 3 3
5 4 4
1 1 5
3 0 1
5 1 1
10 8
2 0 0
0 3 0
3 3 2
1 2 2
3 1 1
3 1 0
3 2 2
1 3 2
1 0 0
1 3 1
10 5
3 1 2
1 2 4
1 2 2
5 0 3
3 4 3
1 3 3
4 1 2
5 0 0
3 4 2
0 2 5
10 4
0 0 1
1 0 1
1 2 0
2 1 0
1 0 2
0 2 2
0 1 1
2 0 2
1 1 0
2 0 0
10 6
2 5 0
1 0 2
4 5 5
3 2 1
0 0 2
4 2 2
1 0 5
3 2 0
5 2 0
0 1 1
10 5
0 1 0
0 1 2
2 1 0
0 0 0
0 0 1
2 0 0
1 1 0
1 0 2
0 0 2
0 2 0
10 8
2 2 2
1 3 0
2 0 3
1 1 1
1 2 1
3 1 0
3 4 2
0 2 3
3 4 4
3 2 1
10 5
0 2 1
1 0 2
0 2 2
1 1 1
0 0 1
1 1 2
0 0 2
2 0 0
2 2 2
2 1 0
10 7
2 3 1
4 2 3
4 0 4
3 2 1
4 2 0
3 3 0
3 0 0
3 4 4
4 1 4
1 2 3
10 3
3 4 0
0 4 1
1 4 4
3 4 1
1 3 3
4 4 3
2 4 2
2 2 3
0 1 4
0 3 3
10 4
1 1 3
4 0 0
2 3 0
4 0 3
4 0 1
3 1 1
4 0 4
4 3 2
1 4 0
3 4 0
10 3
3 1 3
4 2 2
3 4 4
4 4 4
1 2 4
2 4 4
4 4 1
0 1 0
3 2 4
4 4 3
10 5
2 2 3
3 3 3
2 2 1
0 3 0
0 1 0
2 0 1
1 0 1
1 1 3
3 2 1
1 0 0
10 9
2 1 2
2 0 1
1 1 1
1 1 0
0 0 0
2 0 0
0 1 1
1 2 1
2 0 2
0 1 0
10 9
2 5 3
3 0 4
5 1 4
4 2 3
3 4 3
2 3 0
3 3 1
0 1 0
1 4 0
0 2 0
10 2
1 0 0
1 0 1
0 1 0
3 3 2
1 2 2
2 1 2
2 3 2
0 0 3
3 2 2
2 2 2
10 9
3 3 1
3 3 2
0 1 2
3 3 0
2 2 3
0 1 0
0 2 2
1 3 1
2 0 2
2 2 2
10 5
2 1 0
2 0 3
0 2 3
1 0 4
1 0 2
0 4 3
3 4 0
2 0 0
0 2 0
3 1 4
10 9
2 1 0
1 1 1
1 0 2
0 1 1
0 0 0
2 0 2
2 2 0
0 1 0
0 2 2
2 1 2
10 6
1 3 1
2 0 2
1 2 3
3 3 2
2 0 0
1 0 1
2 3 1
3 3 1
3 1 1
2 2 1
10 8
2 4 1
2 4 5
0 3 2
1 5 0
0 5 5
0 1 3
1 2 2
1 1 3
3 3 2
4 1 0
10 4
2 1 1
0 1 2
0 1 0
1 1 1
1 0 0
1 2 2
1 1 0
0 1 1
0 0 2
1 1 2
10 3
4 1 3
0 3 5
1 5 1
1 4 4
4 3 2
0 0 1
5 2 2
2 0 4
4 1 4
4 3 0
10 2
2 3 2
3 3 3
0 2 1
1 1 0
3 1 1
0 3 2
2 1 1
2 3 3
3 2 0
2 3 1
10 8
0 1 0
1 1 1
1 0 1
0 0 0
1 0 0
0 2 2
1 2 2
0 2 0
0 0 1
0 1 2
10 8
2 3 1
3 1 2
2 0 2
0 0 1
0 0 3
2 0 3
3 3 3
2 1 0
2 2 3
2 1 2
10 3
3 0 1
1 0 0
3 3 1
0 3 3
1 3 0
2 0 1
3 1 1
3 1 3
1 1 3
3 3 3
10 2
0 5 3
2 4 1
2 1 0
2 1 5
2 3 5
5 3 0
5 4 0
5 2 1
3 2 4
1 4 5
10 4
1 3 1
4 1 4
3 3 5
5 5 0
3 2 5
1 1 4
2 3 0
1 1 5
3 2 3
2 3 2
10 6
1 3 0
2 3 3
1 2 1
2 3 2
3 3 3
3 3 1
1 3 1
2 2 0
1 0 3
3 3 0
10 8
1 2 2
0 2 1
1 1 0
0 1 1
2 2 2
1 0 1
2 2 1
1 1 2
1 0 2
0 1 2
10 4
1 3 3
2 2 2
2 3 0
0 3 2
3 1 2
2 3 2
0 3 0
1 1 0
0 0 2
1 0 1
10 5
0 1 1
2 0 2
2 0 1
0 1 2
0 1 0
0 0 1
1 2 2
1 1 2
0 2 0
0 2 1
10 7
1 2 1
2 3 3
2 0 3
3 4 4
1 1 0
3 2 3
2 3 1
0 0 1
0 1 3
3 2 1
10 9
0 3 4
1 0 3
2 3 1
1 2 1
4 1 2
2 1 0
2 0 0
0 3 1
0 1 0
1 4 1
10 9
0 1 1
0 3 1
1 2 1
1 1 2
0 2 2
0 1 3
2 0 3
3 2 3
1 3 0
1 1 0
10 8
1 0 2
0 0 0
0 2 1
1 1 2
1 0 0
1 1 1
2 2 0
2 1 0
1 2 2
0 1 1
10 6
4 0 4
3 3 4
0 2 4
3 4 0
4 2 4
3 0 1
4 4 0
1 4 4
1 2 0
4 3 1
10 4
2 5 2
5 5 0
5 2 1
1 1 2
4 5 4
5 0 4
2 3 4
2 0 4
0 5 0
0 0 4
10 2
4 1 3
4 5 0
4 4 1
4 0 2
1 3 3
0 3 3
4 0 3
1 4 4
2 2 1
3 0 5
10 6
3 5 4
3 4 3
5 2 5
4 4 4
3 4 0
0 2 2
5 1 1
5 4 2
3 2 5
1 1 1
10 8
2 0 1
4 1 3
1 3 2
4 0 4
3 0 0
3 2 2
3 0 2
0 2 1
3 2 0
1 0 1
10 6
4 1 3
3 2 3
2 2 2
2 4 2
1 2 4
3 0 4
2 3 0
4 2 3
2 3 2
4 3 4
10 9
4 5 4
3 4 5
4 4 0
5 0 4
5 4 1
0 4 2
0 2 5
4 1 5
1 0 5
2 0 5
10 8
2 2 1
1 1 3
0 1 2
1 0 3
3 2 1
1 0 1
0 3 2
3 1 1
1 3 2
3 3 0
10 6
5 5 4
1 5 2
3 2 3
1 0 5
3 0 5
3 3 1
3 4 2
4 5 3
1 1 0
5 2 2
10 7
1 2 0
0 1 1
1 0 0
0 3 1
0 2 2
2 0 3
2 2 0
2 0 0
2 1 2
2 1 3
10 4
3 2 3
1 5 2
0 2 5
5 3 2
1 3 3
3 5 0
5 3 3
2 0 0
4 0 2
3 0 1
10 8
1 0 2
2 3 3
3 3 3
3 1 1
2 3 2
1 0 0
2 0 3
1 2 1
0 0 1
1 1 2
10 7
4 1 5
2 2 0
1 0 3
4 2 2
5 1 0
3 3 0
5 4 5
0 0 3
2 1 0
4 0 3
10 2
2 0 1
0 0 0
0 1 2
3 2 0
2 0 2
0 1 1
2 2 2
2 1 0
0 3 1
2 2 1
10 9
0 0 1
2 2 0
2 1 2
0 0 0
0 2 0
2 0 1
1 1 1
1 2 2
1 1 2
2 1 1
10 7
1 0 0
0 0 1
0 0 2
0 2 0
2 0 0
2 2 1
0 2 1
1 2 2
1 1 2
2 0 2
10 9
3 2 3
1 4 5
2 3 4
4 5 2
0 3 0
3 5 5
2 1 0
1 5 5
2 0 4
0 2 5
10 5
1 5 1
4 5 5
5 0 1
3 0 1
5 2 4
1 2 5
3 1 5
0 3 5
4 0 3
5 0 3
10 7
4 3 0
1 2 1
1 4 3
2 1 2
3 1 4
3 4 0
0 1 0
0 0 2
2 3 4
2 2 0
10 6
0 1 3
1 3 0
1 1 0
2 0 1
3 0 2
3 3 1
3 0 3
2 0 3
1 3 2
3 1 2
10 7
3 1 4
1 4 2
2 0 1
4 3 1
4 0 3
1 3 2
4 4 3
2 1 2
0 3 1
2 1 1
10 9
3 2 2
0 4 2
3 3 3
4 1 3
3 1 4
3 3 2
0 0 2
4 4 1
2 0 1
4 2 3
10 6
1 1 0
1 0 1
2 1 1
2 2 2
0 2 2
2 2 0
1 0 0
1 0 2
2 0 2
2 1 0
10 7
2 1 3
1 4 1
4 4 3
4 0 4
0 3 1
0 4 4
2 3 1
3 4 4
2 0 2
4 1 3
10 3
1 0 3
3 0 0
1 0 1
2 2 1
0 0 0
1 2 1
3 1 3
2 0 2
3 3 3
1 2 3
10 3
1 4 4
4 1 3
0 0 0
3 0 1
2 2 2
2 4 3
3 3 2
4 0 3
0 4 3
0 2 0
10 4
2 1 1
2 3 1
1 0 0
2 0 0
3 3 2
2 3 3
1 2 0
0 2 0
3 2 0
3 2 1
10 4
2 2 4
0 0 3
3 3 0
0 3 2
3 1 4
3 1 0
4 4 1
0 4 1
4 1 4
3 3 2
10 7
2 1 0
1 0 0
2 3 0
0 1 3
2 0 0
1 3 3
2 2 1
1 2 2
0 3 2
0 0 0
10 9
0 1 1
2 1 1
2 0 1
2 0 0
1 2 1
0 1 0
2 1 0
1 0 1
1 1 0
0 2 0
10 3
4 0 2
4 2 1
3 4 3
2 1 3
2 1 0
3 2 1
0 4 3
3 3 1
2 2 1
4 3 3
10 7
0 0 1
2 3 3
0 1 4
3 3 3
0 1 0
1 2 1
4 4 3
0 0 0
1 1 0
2 1 0
10 9
0 4 5
2 0 1
3 2 1
4 4 3
2 4 5
0 0 1
2 2 5
4 0 1
3 1 5
1 1 1
10 4
1 0 1
4 4 1
3 4 3
1 4 3
0 3 0
3 3 4
0 0 3
0 1 3
0 4 3
0 1 0
10 3
0 2 4
3 0 4
1 2 0
0 3 3
2 3 0
0 1 0
3 0 2
4 2 4
2 1 2
0 4 0
10 6
0 2 1
2 1 2
1 2 1
1 0 2
2 1 1
0 0 2
2 0 1
2 1 0
2 0 0
0 0 0
10 7
3 2 5
0 5 0
4 0 1
4 3 4
2 2 0
1 0 5
0 2 5
2 5 0
3 1 1
4 0 0
10 4
5 0 0
2 2 2
4 5 0
0 2 3
0 3 2
2 4 2
3 1 2
5 5 1
1 1 3
4 1 5
10 3
0 2 1
1 0 0
3 0 4
4 0 0
3 1 3
3 3 0
1 3 3
0 0 1
1 3 4
4 3 4
10 6
3 0 1
5 3 5
1 4 2
1 1 1
2 4 3
0 4 1
5 1 0
3 0 2
5 5 0
1 2 2
10 7
2 3 5
5 5 2
1 1 3
2 3 1
4 5 0
0 3 0
0 0 1
1 5 0
0 2 5
0 0 2
10 6
2 0 1
0 2 2
2 1 0
2 1 2
1 1 2
0 1 1
1 0 2
1 1 1
1 1 0
1 2 0
10 8
4 0 3
1 4 0
3 2 2
1 4 5
2 5 4
3 1 4
2 2 5
2 5 0
2 3 3
1 2 0
10 9
2 3 5
0 0 1
4 5 0
2 2 2
4 1 4
0 3 5
2 5 2
3 4 3
0 5 5
4 4 3
10 8
1 1 3
2 2 2
0 0 4
0 4 2
0 3 3
1 2 0
2 4 3
1 1 4
4 3 1
3 2 0
10 4
1 1 1
1 3 0
3 1 2
0 2 0
0 2 3
2 0 2
1 3 1
0 3 1
1 2 1
3 1 3
10 3
1 3 3
1 3 1
3 3 4
3 2 1
0 0 4
0 4 2
0 1 0
4 3 1
0 1 4
2 4 4
10 5
4 3 0
4 4 2
0 0 2
5 4 5
2 2 0
5 5 4
1 3 5
4 2 4
5 4 2
0 4 3
10 2
1 2 0
1 1 1
0 2 1
1 0 0
2 0 0
1 0 2
2 2 0
2 1 0
0 0 0
0 0 1
10 6
4 2 1
1 1 2
0 3 1
4 2 0
4 0 0
0 1 3
3 3 2
2 2 0
4 2 2
0 0 4
10 6
0 4 1
0 5 3
4 0 2
4 5 2
1 4 0
5 2 4
5 0 3
3 1 2
0 0 2
4 3 1
10 5
3 0 3
4 1 4
3 4 4
3 2 4
4 2 3
2 3 2
3 1 0
3 2 0
1 3 4
0 3 4
10 6
2 2 4
4 4 1
4 0 1
1 0 4
2 1 1
4 0 3
4 4 3
0 0 2
4 2 3
4 0 0
10 9
3 2 0
3 2 1
2 3 0
2 4 1
3 2 3
4 4 2
2 2 3
0 3 3
0 2 2
2 2 4
10 9
4 3 4
4 3 0
2 5 3
2 3 2
5 0 4
4 0 0
3 2 4
0 0 1
4 4 1
5 2 0
10 9
1 2 2
3 0 3
5 2 2
5 1 0
5 5 1
1 1 4
2 4 1
3 5 5
4 1 0
5 5 0
10 5
2 2 1
4 2 1
1 2 5
4 0 0
3 0 2
4 0 5
3 2 1
5 5 0
0 0 2
5 3 3
10 5
3 3 2
2 3 0
2 3 1
3 2 3
2 1 0
1 1 0
0 1 1
2 2 0
1 3 0
1 2 1
10 4
2 3 3
3 0 1
3 0 3
3 1 0
3 2 1
3 0 2
3 2 0
0 3 2
0 0 0
1 2 3
10 9
3 0 3
4 2 0
3 1 3
1 2 2
1 3 0
1 1 2
1 2 0
1 4 1
2 3 2
0 4 3
10 9
0 1 0
3 3 1
3 2 1
1 0 0
3 0 0
4 3 1
3 1 3
0 2 3
1 3 0
3 3 0
10 3
1 1 2
0 2 1
2 0 2
0 2 2
2 1 0
0 1 2
2 1 2
1 2 1
2 1 1
1 0 2
10 9
2 4 4
3 4 1
5 4 1
2 4 5
3 0 0
0 5 4
2 1 2
0 3 4
5 2 1
3 1 4
10 8
2 0 2
2 1 0
1 1 2
0 0 1
1 2 2
2 0 1
0 2 1
2 2 1
2 2 0
1 0 2
10 4
0 2 4
1 2 3
2 3 4
4 3 3
0 0 0
1 4 3
1 0 4
1 4 0
3 2 4
2 0 3
10 6
3 4 3
3 4 1
0 2 0
0 2 2
3 2 1
4 0 2
4 0 3
0 4 2
4 2 2
0 4 1
10 5
1 3 4
2 5 5
2 0 4
3 1 0
2 5 1
2 5 3
4 1 4
0 4 2
4 4 5
2 2 4
10 9
0 4 2
2 0 0
2 3 3
3 2 4
0 0 1
0 4 3
3 2 1
1 3 4
4 1 0
1 4 4
10 4
4 4 1
2 2 2
4 4 4
3 3 1
1 2 3
1 3 3
0 3 2
3 4 0
0 4 4
0 2 0
10 9
1 3 1
5 5 4
0 4 1
2 4 5
5 1 2
4 1 3
4 1 2
1 1 4
4 2 1
3 0 2
10 9
4 4 1
3 1 2
2 3 4
2 0 0
2 1 3
4 3 1
1 2 4
4 0 2
4 0 1
2 4 3
10 2
0 2 0
2 3 2
3 2 0
1 0 2
1 1 0
0 1 2
3 2 1
0 2 2
1 1 3
3 2 3
10 8
0 2 1
1 5 2
3 5 1
5 4 0
1 0 3
3 3 1
1 3 1
0 2 0
1 3 5
1 0 4
10 4
1 0 1
0 0 2
2 0 2
3 0 2
0 4 1
4 4 2
3 0 3
0 4 0
0 3 1
2 4 2
10 4
2 4 0
1 1 4
4 3 2
1 4 4
4 4 0
1 4 0
4 3 0
0 0 0
4 2 0
0 1 2
10 4
0 0 2
1 1 0
1 0 0
1 1 2
1 1 1
2 0 2
2 1 0
0 2 1
1 2 0
2 2 0
10 4
2 3 0
0 2 1
1 1 3
1 0 1
1 2 1
0 3 3
2 2 0
0 1 1
0 3 0
2 2 1
10 9
5 3 4
0 5 3
0 4 5
4 1 3
2 3 2
0 4 4
1 0 3
2 1 4
2 0 3
1 1 4
10 6
1 0 2
1 1 2
0 0 0
0 1 1
2 1 2
0 0 1
1 0 1
2 2 0
1 1 1
1 0 0
10 7
2 1 3
2 2 1
0 1 0
4 0 3
1 4 0
0 4 0
3 4 1
1 0 4
3 2 2
3 4 0
10 8
5 1 2
0 4 1
2 4 4
0 2 3
5 5 2
4 1 0
4 0 4
0 1 1
1 4 0
5 1 4
10 7
5 1 4
1 2 3
0 4 5
5 0 3
2 3 3
5 0 4
3 0 4
0 1 5
0 0 1
5 1 0
10 7
3 0 2
1 0 0
0 3 1
0 0 1
2 0 2
1 2 3
1 2 1
0 0 2
1 3 2
0 1 0
10 6
3 0 2
0 3 2
1 2 2
0 1 0
3 1 1
2 2 1
1 1 0
3 0 3
0 1 2
2 0 1
10 7
2 2 2
2 0 2
0 1 0
0 0 2
2 1 1
0 1 1
2 1 2
2 2 1
1 0 0
0 2 2
10 5
1 0 1
1 3 1
3 2 1
2 0 0
0 2 2
0 1 1
2 1 2
3 1 3
3 0 0
0 3 1
10 3
2 3 5
1 5 0
1 3 5
0 3 3
0 3 5
4 1 0
5 3 2
1 2 2
2 1 2
2 5 4
10 3
0 2 2
3 0 1
2 0 2
0 2 3
3 0 2
2 2 2
1 1 2
1 1 0
1 3 0
1 2 0
10 3
3 0 0
2 2 1
1 1 0
2 1 2
3 3 3
0 2 3
2 1 3
3 1 2
1 2 2
2 3 1
10 4
0 3 2
3 1 1
4 4 4
2 2 0
4 2 0
3 2 4
2 0 2
2 1 2
3 0 4
1 2 4
10 4
2 1 0
2 0 0
0 3 0
1 1 3
3 0 3
0 3 1
0 0 3
2 2 1
2 0 2
2 1 3
10 7
1 0 1
3 0 3
1 1 3
3 2 0
3 1 2
3 1 1
2 1 3
2 3 2
2 3 3
1 3 0
10 2
2 0 1
3 0 3
0 2 1
4 1 3
0 4 3
0 1 2
2 2 1
3 0 0
4 3 1
1 2 1
10 5
3 3 0
1 1 1
2 3 1
1 2 0
0 3 2
3 3 3
2 0 0
0 0 1
3 0 2
2 1 2
10 4
1 3 2
2 2 0
0 2 3
0 3 1
0 1 2
3 3 3
0 1 1
0 0 0
1 2 3
0 2 2
10 8
1 2 4
4 0 2
1 0 1
1 4 3
1 0 3
2 1 3
0 4 1
3 3 4
3 3 3
4 4 2
10 5
1 4 3
4 1 2
1 0 0
4 4 2
4 3 0
0 1 2
0 2 3
0 2 1
3 0 4
3 1 1
10 3
3 5 4
3 4 0
4 1 5
2 0 4
1 3 0
4 5 2
0 0 5
4 1 4
1 0 5
3 1 4
10 8
1 5 3
2 2 0
2 5 2
3 4 0
4 3 5
5 4 3
2 5 4
3 1 1
0 3 2
5 2 4
10 8
2 2 2
2 0 0
3 2 0
1 1 3
1 2 0
0 0 2
0 1 2
1 3 0
3 0 0
1 2 3
10 7
1 2 2
1 0 0
0 2 2
2 1 2
1 1 1
2 1 0
0 1 1
2 2 0
2 2 1
0 2 0
10 8
1 1 0
2 2 1
0 1 2
0 1 0
0 0 0
0 0 1
1 0 1
2 1 0
0 2 0
0 2 1
10 8
2 3 2
1 1 3
1 0 2
0 1 3
3 1 2
1 0 1
3 1 0
3 0 1
0 3 0
2 2 0
10 9
1 1 2
0 1 0
2 0 1
1 2 1
1 0 1
0 0 0
2 2 2
1 0 2
0 2 1
0 0 2
10 8
2 1 1
1 2 2
2 2 1
0 1 0
2 0 2
0 0 1
2 2 2
2 0 1
2 2 0
0 0 0
10 7
2 0 2
1 2 0
2 1 2
2 2 2
0 1 0
2 1 1
1 0 2
1 2 1
1 2 2
0 1 1
10 6
2 4 4
2 4 3
2 1 3
3 1 1
0 0 0
2 0 1
0 0 3
2 0 4
3 2 2
3 4 0
10 4
1 1 3
1 2 2
0 0 0
2 1 3
0 0 3
0 3 0
3 3 3
0 2 2
2 1 0
1 1 1
10 7
2 3 0
2 2 1
2 2 0
3 2 3
3 1 3
0 2 0
2 3 1
1 0 0
3 1 2
1 0 3
10 9
0 0 3
0 0 0
2 1 3
3 1 2
0 2 3
0 0 1
1 2 0
2 3 3
0 1 1
1 3 1
10 2
1 2 0
1 1 1
0 2 3
2 2 2
0 2 1
0 3 0
2 1 1
3 2 3
3 2 0
1 2 2
10 2
2 3 3
0 1 2
2 1 0
2 1 3
2 2 1
2 0 2
2 0 0
1 2 3
1 0 3
3 2 3
10 5
1 2 2
2 1 2
0 1 0
2 0 1
1 1 1
0 2 1
1 1 2
2 0 2
0 1 1
1 0 0
10 7
2 5 2
5 0 1
3 2 0
4 5 1
4 4 3
1 3 4
5 5 2
1 0 5
3 4 2
3 2 4
10 6
2 5 1
5 4 0
3 1 0
3 0 1
5 0 2
2 3 1
5 3 2
4 2 4
2 2 1
5 1 2
10 9
1 1 2
2 0 0
1 2 0
2 1 2
1 1 0
2 1 0
2 2 2
0 2 0
2 0 1
0 0 0
10 2
2 2 2
3 1 4
4 0 0
2 1 1
3 1 3
1 4 2
2 4 1
4 4 0
2 1 4
1 1 4
10 5
2 2 2
0 3 3
0 0 2
3 1 2
3 0 3
2 3 0
3 0 2
1 0 2
1 1 2
2 0 2
10 6
1 0 0
1 2 3
2 2 2
0 0 3
0 1 1
0 2 3
3 3 1
3 1 0
1 2 1
3 2 1
10 8
2 2 2
0 0 1
2 2 0
2 0 2
1 1 2
1 2 2
0 1 2
0 0 2
2 1 0
0 1 0
10 7
0 5 5
2 0 1
1 5 4
2 3 0
5 2 2
3 1 2
4 4 5
1 2 2
2 4 0
1 2 3
10 4
5 1 4
1 4 2
2 0 1
2 5 3
0 3 4
4 0 0
4 2 1
5 0 2
4 3 2
3 5 2
10 6
2 1 1
0 1 0
2 0 2
1 1 1
1 2 0
1 2 1
1 0 1
1 2 2
1 1 2
2 0 0
10 5
1 4 1
0 4 3
1 4 3
2 2 0
3 2 3
2 2 1
3 0 1
2 3 2
3 3 4
4 1 2
10 7
0 5 4
4 4 0
2 2 3
1 0 0
4 1 1
2 5 2
4 3 4
2 2 2
5 2 2
2 2 1
10 7
3 0 2
3 1 1
0 0 3
1 1 0
0 1 1
1 0 2
2 2 1
0 2 2
2 3 1
0 0 1
10 9
4 4 3
5 5 5
4 3 2
3 4 1
0 3 2
4 1 2
3 5 1
2 5 3
0 5 3
3 3 3
10 7
3 3 2
1 3 0
0 3 3
0 1 2
1 0 1
2 1 0
1 1 2
1 2 3
1 2 1
0 2 2
10 7
5 0 0
3 3 1
0 0 1
5 3 4
2 1 1
4 2 5
1 0 0
1 1 2
2 3 4
4 5 4
10 6
0 1 1
1 2 0
2 2 0
2 2 1
2 1 1
0 0 0
1 2 1
1 2 2
0 1 2
1 1 0
10 4
1 0 0
1 1 0
1 2 0
2 2 2
2 1 1
0 0 1
0 1 2
1 2 1
0 0 0
2 0 0
10 5
4 1 3
0 4 1
2 1 0
0 1 4
2 4 2
3 2 0
2 4 4
2 0 3
4 0 4
2 4 1
10 7
1 2 1
2 1 0
1 0 1
0 0 1
2 2 0
1 0 2
2 0 2
0 2 0
0 1 1
2 1 1
10 9
0 5 4
1 1 2
5 5 0
4 4 5
4 0 3
0 4 1
2 1 0
0 0 4
4 2 2
0 4 2
10 4
2 2 2
0 0 2
0 0 1
2 1 1
1 1 1
0 2 2
2 0 1
1 1 2
1 2 2
1 1 0
10 3
0 2 3
4 1 1
2 2 1
2 0 0
4 4 1
1 1 1
0 3 3
0 4 3
2 0 4
3 3 0
10 3
2 1 1
1 0 2
0 2 2
1 0 1
2 2 1
1 2 2
2 1 0
1 2 0
1 1 1
0 0 2
10 4
0 0 1
1 0 2
2 1 0
0 1 1
1 1 1
2 2 2
1 0 1
2 1 1
2 0 1
0 2 0
10 5
0 0 0
0 0 1
2 0 0
1 0 2
2 1 2
0 2 1
2 0 1
1 0 1
2 1 1
0 1 2
10 9
1 3 0
4 0 0
4 0 4
4 2 4
3 3 0
0 3 4
1 2 2
2 0 2
0 0 4
1 3 1
10 4
0 0 2
2 0 3
2 3 0
2 0 1
1 1 3
1 0 0
2 1 2
3 1 0
2 2 0
2 1 0
10 8
4 1 0
0 2 3
4 4 4
2 2 0
2 0 2
2 0 5
5 1 2
2 3 4
2 3 2
4 0 4
10 9
0 3 5
4 5 5
3 1 4
3 0 0
4 5 4
1 1 5
3 2 3
4 4 2
2 2 5
0 1 5
10 8
3 1 2
1 2 0
0 2 1
3 0 1
3 3 3
3 0 3
0 0 3
0 3 2
2 1 0
1 1 2
10 9
1 4 0
1 3 0
3 1 3
1 2 3
0 3 4
3 3 0
4 0 4
3 3 3
1 2 0
3 2 0
10 4
0 1 1
0 0 3
3 2 0
1 2 2
3 1 2
2 1 3
1 1 3
0 2 2
3 3 2
1 0 0
10 4
4 2 4
4 3 1
3 3 4
1 1 3
3 3 2
3 4 0
2 3 0
3 4 4
4 2 0
2 1 2
10 8
2 0 2
2 0 1
0 2 1
2 2 1
1 1 0
1 0 0
0 1 1
1 1 2
2 2 0
0 1 0
10 3
1 0 0
1 0 1
4 1 3
2 4 4
4 1 4
0 1 3
4 4 4
4 0 0
1 3 2
4 1 1
10 9
2 1 2
3 1 3
1 3 3
2 2 2
0 1 3
2 1 0
2 1 1
0 1 0
0 1 2
1 0 2
10 9
5 2 0
2 1 4
0 2 3
2 1 1
4 1 4
1 5 5
3 2 0
0 1 0
4 5 4
4 1 1
10 2
0 2 1
0 1 1
2 0 2
0 0 1
0 0 2
0 1 2
2 2 1
1 2 2
1 0 2
0 1 0
10 6
1 0 5
3 0 1
1 2 3
0 5 4
2 2 4
3 3 4
5 0 0
2 0 1
5 2 0
5 5 3
10 9
1 3 0
1 0 3
3 0 0
1 2 1
2 1 3
1 3 3
0 3 3
1 0 0
1 2 3
2 0 0
10 7
2 1 4
4 4 3
0 1 0
2 2 0
1 2 2
3 4 2
0 3 3
3 4 1
0 4 4
3 3 3
10 5
1 2 0
2 0 0
2 0 1
1 1 3
0 0 1
3 3 3
3 2 2
3 1 0
3 0 0
0 1 2
10 3
3 5 4
0 0 1
0 0 2
1 0 4
5 2 0
0 4 0
3 1 4
0 2 4
0 5 1
4 2 5
10 8
2 2 0
0 3 0
2 3 3
1 0 3
3 1 2
0 0 2
3 2 3
1 1 2
3 3 1
2 3 1
10 4
1 0 1
1 2 0
2 2 2
2 1 0
1 2 2
1 0 0
1 1 2
2 2 0
0 2 0
0 2 2
10 2
0 1 0
0 0 0
1 2 2
0 1 2
0 1 1
2 0 0
0 2 2
1 1 1
2 1 2
0 0 1
10 6
0 2 1
1 2 1
0 0 1
2 1 1
0 1 0
0 2 0
1 2 2
2 2 0
1 1 1
0 1 1
10 8
4 3 4
1 4 3
0 4 2
2 2 2
3 2 1
3 0 2
1 4 1
3 4 3
4 0 4
3 4 0
10 9
2 2 1
1 0 2
2 1 0
1 0 1
0 0 2
2 0 1
2 0 0
0 1 1
2 1 1
0 2 1
10 5
1 1 2
2 2 3
3 0 1
3 2 1
1 1 3
1 3 3
3 2 2
2 4 1
0 0 4
1 2 2
10 5
2 1 1
0 2 2
3 1 1
3 1 2
1 0 3
1 2 0
2 0 0
2 0 2
3 0 2
0 1 1
10 7
2 0 2
3 0 0
1 2 3
0 0 2
3 2 0
3 0 3
0 2 0
1 1 3
1 3 3
1 0 3
10 5
4 4 0
1 0 1
1 3 1
0 3 4
4 4 1
0 0 3
2 2 0
2 3 3
2 4 0
4 4 4
10 8
2 3 1
1 1 2
1 2 2
0 2 4
3 3 0
3 4 0
2 3 3
1 0 0
2 1 4
2 3 0
10 9
0 1 2
2 1 0
2 0 2
1 0 0
2 1 2
0 0 1
1 2 0
2 2 1
2 1 1
2 2 0
10 9
1 0 2
1 2 0
2 1 0
0 1 2
1 1 1
0 2 1
1 1 0
1 0 1
0 1 1
0 0 2
10 2
1 0 4
2 4 2
2 3 0
4 2 0
1 2 1
1 3 0
4 2 1
4 2 4
0 2 1
0 1 1
10 8
1 1 0
1 1 3
0 1 2
2 5 2
1 5 1
4 1 5
5 5 2
1 3 3
3 4 1
0 0 2
10 5
1 0 2
3 3 3
2 2 1
3 2 1
3 2 0
2 2 0
3 2 2
3 3 1
0 1 3
1 3 2
10 8
5 4 0
5 1 0
0 4 2
0 1 3
4 5 1
0 5 3
5 2 5
4 0 0
3 2 3
1 5 2
10 5
1 1 2
2 0 2
1 2 1
1 1 1
0 0 2
1 0 2
0 2 1
2 2 2
2 0 0
1 0 0
10 3
2 0 3
0 2 3
0 3 2
2 0 0
0 1 0
1 1 3
3 1 1
2 3 3
0 0 1
3 1 2
10 4
0 2 0
2 1 2
2 2 1
1 2 0
0 0 1
2 0 0
2 2 0
0 2 2
0 0 0
1 2 1
10 8
3 0 1
2 1 1
1 3 0
1 1 1
2 1 2
3 1 0
3 3 0
1 2 2
3 0 3
0 3 0
10 4
3 2 1
2 1 0
0 1 1
3 0 2
3 2 2
2 1 3
1 2 3
2 1 2
2 2 0
2 1 1
10 2
0 0 0
2 1 1
0 1 2
2 2 2
1 0 0
0 2 2
1 1 1
2 0 1
2 1 0
1 2 0
10 3
1 4 1
5 0 1
3 1 1
1 1 5
1 0 5
5 0 0
4 0 4
3 4 4
3 5 0
4 5 3
10 5
0 2 0
2 0 1
1 1 2
1 2 1
1 2 2
0 0 0
1 2 0
1 0 0
1 1 1
2 0 0
10 3
1 0 2
3 0 4
3 0 1
3 4 3
0 0 0
4 0 1
1 2 4
4 2 0
1 0 4
0 0 1
10 9
3 0 2
4 2 0
1 2 0
3 0 0
2 0 5
1 3 3
0 4 3
0 5 2
2 0 2
0 0 1
10 5
1 1 2
1 2 0
1 1 1
2 0 1
2 1 0
2 1 1
1 0 0
0 1 2
0 0 1
2 2 2
10 6
0 5 4
1 5 1
5 0 2
3 2 5
0 5 2
3 3 4
1 3 0
4 0 4
4 5 2
3 4 2
10 2
0 3 3
3 3 2
1 0 0
4 2 2
3 2 1
2 3 4
3 2 0
1 3 3
0 1 4
4 0 2
10 8
2 2 2
1 0 3
4 1 0
0 3 3
2 3 0
0 4 3
2 2 4
0 4 2
2 4 0
4 1 2
10 5
1 3 0
3 3 3
0 0 0
1 0 2
1 3 1
2 3 3
2 0 1
2 2 1
3 0 0
3 2 2
10 8
1 0 0
1 3 2
3 0 0
0 4 3
4 2 4
3 1 4
2 0 4
3 4 3
1 2 1
3 4 4
10 9
1 0 1
2 3 3
0 0 1
1 2 0
0 3 0
1 2 1
1 2 2
3 1 0
2 2 0
2 0 3
10 8
3 0 1
0 1 3
3 0 3
1 2 0
0 0 1
3 2 3
1 1 1
2 1 2
1 3 3
0 2 2
10 9
2 1 1
2 0 2
2 0 0
0 0 2
1 2 1
1 1 1
2 2 1
2 2 2
1 1 0
0 2 2
10 5
2 4 1
0 4 2
3 2 4
0 0 0
4 0 2
2 4 0
2 2 4
4 4 0
0 2 1
1 1 1
10 5
4 5 4
4 1 4
1 3 3
0 5 3
4 2 5
2 3 4
3 5 3
3 1 5
0 3 4
0 4 0
10 5
3 4 3
2 3 2
1 2 5
0 1 3
0 2 4
3 4 5
3 4 0
5 5 2
1 0 2
0 3 4
10 9
1 0 2
4 2 2
1 0 0
3 3 4
1 0 3
2 4 3
1 4 4
2 3 4
0 4 1
3 0 3
10 5
0 0 1
1 0 0
0 1 0
2 1 0
1 2 2
1 1 1
0 0 2
2 2 1
2 1 2
1 1 0
10 9
2 2 4
0 0 4
1 2 1
0 1 2
0 0 2
2 3 4
4 4 4
3 2 1
2 1 2
3 3 1
10 9
2 0 5
5 5 3
4 0 4
4 3 2
1 3 3
1 2 0
4 3 4
5 5 4
2 1 5
1 5 3
10 3
1 2 2
2 0 0
2 0 1
3 1 1
1 2 3
0 3 3
0 3 1
2 3 3
2 2 3
0 2 1
10 5
1 3 4
3 4 0
0 1 2
2 0 4
4 4 2
0 0 2
1 3 2
4 1 0
3 1 0
2 4 3
10 8
1 2 1
3 1 3
3 0 4
2 4 2
4 0 2
0 3 4
0 0 2
3 2 0
3 4 1
0 4 4
10 5
1 0 1
1 1 0
0 2 2
2 2 0
2 1 0
2 0 1
1 2 0
0 1 0
0 2 1
2 1 2
10 3
0 1 2
3 2 3
3 3 3
1 3 2
3 0 1
2 3 1
2 2 1
0 0 3
3 3 0
1 2 3
10 3
2 0 3
0 3 0
1 3 3
1 2 1
0 2 2
1 0 0
2 0 2
2 1 3
3 3 2
2 0 0
10 8
2 2 1
1 2 0
0 2 0
0 2 2
2 2 2
2 0 1
1 1 1
2 2 0
1 1 0
0 1 0
10 2
3 0 5
5 3 1
2 5 1
0 3 0
1 4 4
5 3 4
4 0 3
4 1 4
2 0 0
2 2 3
10 2
0 0 1
1 1 0
1 2 1
2 1 2
1 0 0
1 2 0
2 2 0
1 1 1
1 0 1
1 0 2
10 8
4 1 0
2 2 1
4 4 3
1 2 4
0 2 2
2 1 4
4 1 3
0 3 1
0 2 1
2 3 4
10 5
1 3 3
1 2 3
0 0 2
3 2 0
2 2 1
2 0 1
3 1 0
2 3 3
0 0 3
1 3 1
10 3
3 0 1
0 4 4
1 3 1
1 1 4
2 4 4
4 1 1
0 4 1
2 4 2
3 2 3
3 3 2
10 5
1 3 3
1 2 4
3 0 5
4 0 5
5 3 5
2 2 5
1 0 5
3 3 5
4 3 2
3 5 1
10 6
2 1 3
1 3 1
1 3 2
1 1 2
0 2 3
2 3 0
0 0 0
3 2 2
3 3 2
0 2 2
10 5
3 1 1
1 1 1
2 2 3
2 3 3
3 2 2
3 1 2
2 0 2
1 3 2
2 2 2
2 3 0
10 9
0 2 2
2 2 0
2 0 0
1 0 1
2 1 0
0 0 2
2 0 2
0 0 0
1 2 0
1 1 2
10 9
2 2 0
0 1 0
0 2 2
1 2 0
1 1 2
2 2 2
1 0 0
2 0 0
2 1 2
2 0 2
10 3
0 4 0
2 4 3
2 0 3
3 1 1
2 0 2
2 2 3
0 3 3
3 4 2
4 2 0
0 4 4
10 7
2 2 4
3 3 2
4 3 3
5 2 0
5 4 1
3 2 5
3 0 1
5 2 4
3 2 4
0 1 5
10 7
1 2 5
3 4 1
0 4 1
3 5 5
5 2 2
4 4 1
0 4 5
4 5 0
5 5 1
3 5 2
10 2
3 3 2
0 2 3
1 3 0
1 1 3
2 3 1
3 3 3
2 2 3
0 1 3
1 3 3
1 0 3
10 2
0 1 0
1 4 4
3 2 1
1 3 0
0 0 4
4 0 0
3 4 4
4 4 0
4 2 4
1 2 0
10 2
3 3 4
5 5 2
2 2 3
2 1 0
4 3 4
3 3 5
3 3 1
3 3 0
1 5 0
3 0 1
10 2
1 1 0
2 2 1
1 0 1
1 2 0
1 1 1
2 0 0
0 0 0
1 0 0
0 2 0
1 2 2
10 3
1 2 0
0 2 2
0 0 0
2 1 1
1 2 2
0 2 1
1 1 0
0 1 2
1 0 2
2 0 2
10 5
0 0 1
0 0 2
3 2 0
0 3 1
3 1 2
2 2 2
2 0 1
3 3 0
1 0 2
2 1 0
10 2
1 1 5
5 0 2
1 1 0
0 1 0
3 0 3
4 3 2
0 1 3
5 5 2
4 2 3
0 4 5
10 3
3 2 0
5 5 1
2 5 5
3 1 3
2 2 3
4 1 5
3 5 2
2 5 0
0 4 0
4 4 4
10 7
0 0 3
0 0 1
3 0 0
0 3 3
2 0 2
2 3 3
2 2 1
3 0 1
2 2 0
1 2 2
10 4
1 2 3
3 5 1
0 1 2
1 1 0
1 1 5
0 5 3
0 3 1
3 1 2
1 3 0
4 1 5
10 9
2 1 0
2 2 2
1 2 0
0 2 0
2 2 0
2 1 1
1 0 0
0 1 2
1 1 1
1 0 2
10 2
2 2 1
2 1 1
0 1 2
1 0 0
1 1 1
2 1 2
2 0 0
2 0 1
0 2 0
0 0 1
10 5
2 0 2
2 3 0
1 1 2
1 1 1
3 1 2
0 0 3
2 1 1
3 3 0
0 1 3
0 3 0
10 6
0 2 0
2 3 4
1 1 3
1 2 4
2 1 2
2 2 0
0 0 0
2 2 4
3 1 3
4 0 4
10 6
1 0 0
2 0 2
1 1 2
2 2 1
2 0 0
1 1 1
0 2 0
0 1 0
0 1 1
0 1 2
10 3
3 4 4
3 4 2
1 3 2
1 3 3
3 5 0
3 0 1
5 3 4
4 5 3
2 4 0
4 0 0
10 3
0 0 2
2 2 2
2 1 0
0 0 0
0 1 2
2 0 2
1 2 0
1 0 2
2 1 1
0 2 2
10 6
2 2 3
3 3 2
2 2 0
0 2 1
0 1 3
1 2 0
0 3 2
1 0 1
2 1 1
3 3 0
10 3
1 2 0
2 2 1
0 0 0
2 1 2
0 1 0
0 1 1
2 0 2
2 0 0
2 0 1
1 0 2
10 9
5 5 5
2 1 2
4 2 0
3 3 1
5 2 2
4 2 5
4 2 1
1 0 2
4 5 0
4 4 0
10 2
3 1 2
2 3 0
2 1 0
1 3 1
3 2 0
0 1 2
1 0 2
0 1 3
3 3 3
3 2 3
10 3
1 1 0
3 2 2
1 3 2
3 1 2
0 0 1
2 3 0
2 0 0
1 3 1
1 3 0
0 1 3
10 6
2 1 3
0 4 2
4 3 4
4 4 3
1 2 2
0 3 2
4 2 0
4 1 1
3 0 0
1 3 2
10 6
1 1 0
3 2 5
4 5 0
0 5 5
3 4 4
1 2 1
2 5 1
0 2 1
0 1 4
2 0 5
10 7
0 3 1
5 5 1
5 0 3
0 0 1
4 5 1
4 1 2
2 2 2
2 2 0
0 3 4
0 2 5
10 3
3 3 2
1 1 1
1 3 3
1 3 1
1 3 2
0 2 2
0 1 0
0 1 3
1 2 0
0 1 1
10 2
0 2 4
2 3 1
0 3 2
1 0 5
1 4 3
0 3 3
0 0 4
1 3 1
1 2 0
1 5 0
10 2
0 0 0
2 2 1
1 0 0
0 0 1
2 1 1
2 0 0
0 2 2
2 1 2
1 1 1
1 0 2
10 6
4 2 2
2 0 3
0 2 2
2 3 3
1 1 1
2 0 2
1 2 2
2 1 4
3 1 3
0 2 3
10 4
4 1 1
4 0 2
2 0 0
4 1 2
3 3 1
1 3 1
0 1 4
1 3 2
2 2 1
1 4 2
10 8
2 3 0
5 2 1
2 2 3
4 4 2
0 1 3
0 0 2
3 4 3
2 4 3
0 4 2
4 2 5
10 6
2 4 0
1 1 0
1 3 4
4 3 0
4 1 2
3 1 4
4 1 3
0 3 3
3 1 1
2 4 1
10 7
0 3 3
3 0 3
1 0 1
3 0 2
0 5 1
2 3 1
5 0 0
1 2 1
0 5 5
2 1 4
10 5
4 4 3
1 1 1
3 2 1
4 4 0
2 3 1
3 3 0
2 5 2
3 0 4
2 4 5
1 5 2
10 2
4 3 0
5 4 0
0 4 3
0 4 5
4 0 4
2 5 3
4 0 3
4 0 5
2 0 0
4 0 0
10 8
2 2 3
1 3 1
1 1 1
3 2 3
3 1 0
3 1 2
1 3 0
1 3 3
2 3 0
1 0 2
10 5
1 0 4
3 0 1
2 0 0
1 1 0
1 4 0
0 3 2
3 3 2
0 1 0
4 3 2
3 4 0
10 7
4 1 4
5 0 3
0 4 1
0 4 4
0 0 5
2 1 3
5 5 0
3 0 3
2 1 0
2 3 0
10 7
0 1 3
0 3 1
3 1 2
2 1 3
3 0 0
2 0 0
2 2 2
0 1 2
1 0 2
0 1 1
10 5
0 1 2
2 3 3
0 0 0
2 3 1
2 0 1
2 1 3
3 3 2
0 1 3
1 1 1
1 1 0
10 7
4 1 1
4 3 0
3 1 4
3 1 3
0 4 4
2 2 1
0 2 1
0 5 5
0 4 5
3 2 4
10 7
1 0 0
3 1 0
0 3 0
1 0 2
1 1 3
0 3 2
2 1 3
1 2 1
3 2 3
2 0 3
10 6
3 2 0
1 2 2
2 3 3
0 2 4
2 4 0
2 4 2
4 3 2
0 1 4
4 4 2
3 1 3
10 6
4 2 1
2 1 2
4 1 2
3 2 0
2 2 1
0 2 4
4 0 4
1 2 1
3 3 3
2 4 2
10 6
3 1 3
0 2 3
2 0 0
3 1 0
2 3 3
2 1 0
3 0 2
3 2 1
3 2 3
3 0 1
10 4
2 5 0
5 1 2
1 5 0
5 2 2
5 5 1
5 4 3
1 0 5
4 2 5
2 0 2
2 0 0
10 2
0 3 1
3 1 2
0 3 2
3 0 2
1 3 3
3 0 0
3 1 3
2 3 1
3 2 3
3 0 1
10 7
2 0 0
3 0 3
0 3 2
2 3 3
3 3 1
0 3 1
1 0 3
2 1 1
3 2 2
0 3 3
10 6
1 2 2
0 3 3
1 4 4
4 0 0
2 0 3
0 4 4
3 2 4
3 0 4
2 2 4
0 1 4
10 5
0 5 3
2 4 4
4 2 4
1 1 0
1 1 5
4 1 2
4 3 1
1 5 0
1 4 2
0 2 1
10 7
0 1 2
0 2 0
0 1 0
2 1 1
2 2 1
1 1 0
2 0 1
0 2 2
2 2 0
0 1 1
10 7
2 1 2
2 2 0
2 0 0
0 1 1
2 1 0
2 2 2
0 0 1
1 0 2
0 0 0
2 2 1
10 4
0 3 0
5 1 0
3 3 2
1 2 0
4 0 2
4 1 3
3 0 1
0 0 2
0 0 1
3 5 5
10 2
0 3 5
0 5 0
5 5 0
5 0 2
1 2 0
5 2 1
1 4 4
3 1 5
5 2 4
3 3 1
10 6
3 0 3
1 2 2
0 0 3
2 0 1
0 1 1
1 1 1
0 0 1
0 0 0
3 3 2
3 3 3
10 5
0 1 1
2 0 0
2 2 0
2 3 3
2 2 3
3 1 2
2 1 0
3 0 0
3 0 2
0 2 1
10 6
1 0 1
4 0 3
1 2 1
4 1 3
1 1 3
4 3 4
4 3 2
3 1 0
3 1 4
1 0 3
10 2
0 3 1
0 2 3
0 2 1
3 1 3
0 0 1
0 4 2
3 1 1
3 3 2
2 0 0
3 4 0
10 4
0 4 0
1 1 2
1 0 3
2 4 0
2 0 3
4 0 0
1 2 4
2 2 3
3 2 0
0 2 3
10 4
2 0 1
0 3 2
3 0 3
1 2 3
2 3 3
1 3 2
1 2 2
1 0 1
1 1 3
0 0 0
10 4
2 3 1
3 2 1
3 0 0
0 3 2
3 0 3
2 0 2
1 0 3
0 1 0
2 2 0
0 0 3
10 5
3 1 1
1 3 4
2 1 3
0 3 2
3 4 1
3 3 4
0 2 4
4 0 3
3 1 2
2 3 4
10 9
1 4 1
4 0 3
3 0 3
0 2 4
4 2 0
4 1 3
3 1 0
3 1 4
4 1 1
1 2 2
10 6
2 0 4
2 2 2
1 0 2
0 1 2
0 0 0
3 2 0
2 2 4
3 0 0
2 0 2
1 3 1
10 6
2 1 3
1 0 0
3 1 1
3 0 3
1 0 3
3 0 0
0 1 0
2 0 0
0 3 0
1 2 1
10 5
1 0 2
4 2 0
4 4 0
2 2 3
2 3 4
3 2 2
2 2 2
3 3 4
3 0 2
0 4 2
10 4
2 2 3
2 0 4
0 1 2
3 1 2
0 0 2
2 0 2
1 0 1
1 3 3
2 1 0
0 0 1
10 2
0 1 0
1 0 1
2 0 1
2 0 0
1 0 2
1 2 0
0 2 2
0 2 1
1 0 0
2 2 0
10 8
3 3 3
2 2 2
0 1 0
1 3 0
1 1 0
2 1 0
1 2 1
2 1 3
0 0 3
3 2 3
10 7
2 3 3
3 0 4
2 4 1
3 3 4
1 4 0
2 2 2
4 2 4
4 2 3
2 2 0
4 1 1
10 9
2 1 0
1 3 0
3 0 1
1 2 0
3 3 3
0 0 0
2 1 3
1 0 2
0 3 2
2 1 1
10 9
2 0 5
2 0 1
0 3 0
2 5 4
1 1 4
3 4 1
1 3 5
5 0 3
0 2 0
4 3 5
10 4
3 2 1
1 0 0
2 2 0
0 3 0
3 1 3
1 2 3
2 1 1
0 0 1
1 2 0
1 1 0
10 2
2 0 3
2 2 2
1 3 3
0 1 0
0 1 2
3 1 1
3 3 3
1 2 0
0 3 2
3 1 2
10 5
2 1 3
0 1 2
2 2 0
2 0 0
3 3 1
3 1 3
0 1 0
3 3 2
1 3 2
1 0 1
10 6
0 0 2
0 2 2
0 0 1
0 2 0
1 2 2
0 1 1
0 1 0
2 2 0
1 1 2
2 1 0
10 3
4 3 5
1 4 0
1 1 2
4 1 5
1 0 5
4 0 3
3 2 2
0 1 2
1 5 1
5 1 1
10 4
1 1 1
0 1 0
1 2 0
0 1 1
1 2 2
2 1 1
2 0 2
1 1 2
0 0 0
1 0 2
10 8
3 1 0
4 2 0
1 2 2
2 3 4
5 0 4
5 5 4
3 5 4
5 0 2
1 3 1
0 0 1
10 4
2 0 0
1 1 2
1 2 0
2 1 2
1 1 0
0 0 2
2 0 1
2 1 0
0 1 2
0 2 1
10 9
0 3 0
0 3 3
1 2 0
1 0 0
2 2 2
1 3 1
0 2 1
2 2 0
2 1 1
3 3 1
10 6
3 3 1
5 5 4
3 5 1
1 2 4
2 4 0
1 1 4
4 2 0
3 2 4
2 4 4
0 0 3
10 4
2 0 0
0 2 3
1 3 4
0 3 0
4 2 0
2 2 3
4 4 0
1 2 2
1 3 0
0 4 0
10 5
3 2 3
1 3 2
0 0 3
0 2 3
2 3 2
2 0 1
1 1 3
2 3 3
2 2 1
3 2 2
10 9
0 5 2
4 1 4
5 2 3
2 1 0
5 2 1
3 1 4
0 5 1
5 1 4
1 3 1
1 3 2
10 9
0 1 1
2 0 1
1 0 1
2 1 1
2 0 0
2 2 0
0 2 1
0 2 2
1 2 2
1 0 2
10 9
0 1 0
2 0 2
2 2 2
0 2 2
2 2 0
1 0 1
0 1 1
0 0 1
2 2 1
0 2 1
10 5
5 1 5
5 3 1
1 5 5
3 2 0
1 4 2
3 4 4
4 1 5
0 0 3
3 4 2
2 0 3
10 2
5 0 0
2 4 4
2 5 1
5 1 0
3 5 0
4 1 4
1 3 4
4 2 5
3 3 1
2 1 4
10 2
1 2 0
1 2 2
0 1 1
1 0 2
0 2 0
2 1 2
2 2 1
2 2 0
2 0 2
0 0 2
10 2
1 0 1
1 1 3
3 0 3
1 3 2
2 0 2
0 1 3
1 0 2
0 2 1
3 2 3
0 0 0
10 8
2 1 3
3 4 1
0 3 2
0 0 1
0 4 1
1 1 0
2 4 4
2 4 1
3 3 0
4 1 3
10 8
1 1 2
0 1 0
0 2 2
1 0 1
2 2 0
2 0 2
0 0 2
1 0 0
2 1 0
1 2 1
10 2
2 4 3
1 0 4
0 1 2
1 3 2
2 0 0
0 3 3
1 1 1
2 3 0
0 0 2
1 2 4
10 9
1 0 0
2 1 0
1 2 0
2 2 0
2 1 2
0 0 2
1 1 2
1 1 0
0 0 0
0 2 0
10 8
0 2 1
0 2 2
2 1 2
2 2 2
0 0 0
1 0 0
0 2 0
1 2 1
1 1 1
1 2 0
10 3
0 1 4
1 3 2
4 2 1
4 4 1
4 2 2
2 1 4
2 0 2
2 0 1
3 3 0
2 2 4
10 4
3 1 2
3 1 1
4 3 4
4 0 2
1 4 3
2 2 1
4 1 1
3 4 0
2 1 0
0 4 3
10 7
2 2 1
4 4 3
4 0 0
2 4 0
1 3 2
3 1 2
0 4 0
3 3 4
2 4 3
0 3 1
10 3
2 2 1
0 2 3
4 1 0
4 2 1
0 4 1
2 2 3
3 1 4
1 0 3
0 1 0
2 1 1
10 7
2 2 2
3 3 3
0 2 0
2 1 2
0 1 1
0 3 0
1 0 2
2 3 3
2 2 1
0 3 1
10 6
4 1 1
1 2 4
3 5 3
5 3 0
2 4 5
5 5 5
3 4 3
4 2 2
0 5 1
4 5 4
10 6
4 1 4
1 1 1
3 3 2
3 2 0
3 2 1
0 4 0
2 1 4
1 2 4
0 3 0
3 3 4
10 2
0 3 0
0 0 0
0 0 3
1 3 0
1 0 0
3 2 2
3 2 3
2 1 2
2 3 3
0 3 3
10 4
3 2 0
0 3 1
3 0 1
4 0 4
4 2 3
2 0 5
5 5 0
2 4 5
0 1 2
5 4 1
10 2
1 1 2
1 2 1
2 1 2
2 1 1
2 0 2
1 0 1
0 1 2
2 2 1
0 0 1
0 1 1
10 2
2 2 2
4 2 4
3 2 1
3 2 0
3 1 3
1 3 4
3 3 0
0 0 4
1 0 3
0 3 0
10 5
3 0 0
2 0 0
2 3 1
2 1 1
4 2 4
3 3 4
1 4 3
3 4 1
3 3 1
4 1 1
10 4
1 0 1
0 2 3
4 3 3
5 4 4
3 4 4
5 0 4
3 0 4
4 2 5
3 5 3
1 4 0
10 8
4 4 3
4 3 0
3 3 4
3 1 3
1 3 1
1 1 0
4 2 2
4 1 0
1 3 0
2 4 0
10 2
0 0 3
2 4 0
2 3 1
0 0 2
0 1 4
3 4 1
3 1 3
2 3 2
4 3 4
4 2 1
10 9
1 0 0
2 0 2
0 0 2
2 2 1
2 1 0
0 0 1
2 1 1
1 0 1
1 1 0
2 2 0
10 4
2 2 1
2 1 0
2 0 1
2 0 2
1 2 1
1 0 0
2 0 0
0 0 0
2 2 2
0 0 1
10 5
1 2 0
0 0 1
1 0 1
1 2 2
0 1 0
1 0 0
0 2 2
1 1 2
2 1 2
1 1 1
10 4
3 1 1
3 1 0
3 0 3
3 1 3
0 3 3
2 0 1
2 1 0
0 1 1
0 1 3
0 2 1
10 3
2 2 1
0 0 1
1 1 0
2 1 1
2 2 2
0 2 2
2 0 2
1 2 1
0 2 1
1 1 2
10 6
2 2 2
1 1 2
0 2 1
0 2 2
0 0 1
2 1 0
1 1 0
2 1 2
2 0 2
1 2 2
10 2
1 3 3
0 0 3
0 1 1
0 1 3
1 3 1
3 3 2
2 0 2
1 0 1
0 1 0
2 0 3
10 2
3 2 0
3 2 2
1 2 3
1 2 1
0 2 2
2 0 2
1 3 0
3 3 1
3 3 2
1 3 2
10 4
2 0 1
1 0 0
0 2 0
0 1 0
0 0 1
1 0 2
2 2 0
2 0 2
0 1 2
2 1 0
10 5
1 1 1
1 0 1
1 2 2
1 1 0
1 1 2
2 2 2
2 0 2
0 0 2
2 2 1
1 2 1
10 7
0 1 2
2 1 1
2 1 3
2 2 0
1 1 2
0 0 1
2 3 3
1 2 0
2 0 2
3 0 2
10 6
1 0 2
2 0 2
1 2 2
0 1 2
0 2 1
1 2 1
1 0 0
2 0 0
0 2 0
2 1 2
10 4
5 3 0
1 0 5
5 5 2
5 4 1
5 5 0
0 1 2
5 4 0
1 4 2
3 1 0
1 1 4
10 5
0 3 3
3 4 1
2 4 0
3 3 0
3 1 1
3 2 4
3 1 2
1 1 4
4 2 1
0 4 4
10 2
0 1 1
0 0 2
2 1 0
2 0 2
0 0 0
2 2 1
1 2 2
0 0 1
0 2 0
2 0 1
10 3
2 1 0
0 1 1
1 0 2
2 2 2
1 1 0
0 0 2
0 0 0
0 0 1
1 2 2
2 0 1
10 2
1 1 2
3 2 3
3 4 0
1 3 2
2 4 0
0 0 1
0 0 4
4 3 2
1 4 1
2 1 4
10 7
4 3 3
4 4 4
5 1 4
5 0 0
2 4 4
3 2 2
0 2 4
3 4 3
2 4 0
2 4 3
10 4
1 0 0
3 3 2
1 3 0
0 1 0
3 0 3
0 0 0
2 3 1
2 2 1
3 2 0
2 1 1
10 8
2 0 2
1 1 3
2 2 1
0 0 3
0 2 0
0 0 0
2 3 0
3 3 1
2 3 3
1 0 1
10 5
1 2 2
2 1 2
2 1 1
0 1 1
1 2 0
2 0 2
0 0 0
2 2 0
0 1 2
2 2 1
10 6
2 5 3
1 5 1
2 1 0
2 4 5
4 3 0
2 0 3
0 0 3
0 2 0
3 4 3
0 3 1
10 5
2 5 1
2 0 3
3 5 3
3 2 1
2 2 0
2 2 1
4 2 0
1 2 2
1 1 4
5 3 3
10 4
0 1 1
0 2 1
0 1 2
2 1 1
0 2 2
2 2 2
1 0 0
0 0 1
1 1 2
1 1 0
10 2
0 3 3
1 2 3
2 0 0
3 3 0
3 0 2
0 0 3
3 1 3
2 1 0
0 0 0
3 2 1
10 8
0 2 3
3 2 3
3 3 1
0 2 0
2 1 2
3 1 2
3 2 2
2 2 2
2 1 1
0 0 2
10 7
1 0 1
0 1 2
0 0 1
1 1 1
0 2 0
2 0 2
0 1 1
1 0 0
1 2 1
0 0 0
10 8
0 1 0
3 0 1
0 5 3
5 0 1
0 0 3
5 4 3
5 2 1
3 0 3
4 2 4
3 2 2
10 9
1 0 0
1 4 3
2 2 0
2 0 1
0 3 3
2 3 4
1 0 2
3 2 4
4 3 2
0 2 2
10 2
0 0 1
2 1 3
0 4 4
1 2 2
2 4 3
0 2 0
4 2 0
0 4 3
0 2 4
4 3 2
10 2
1 1 0
1 0 2
1 1 1
0 1 1
0 1 0
2 1 0
0 1 2
0 0 0
1 2 1
2 0 0
10 6
0 2 0
2 1 2
0 0 0
1 2 1
0 1 1
2 1 1
0 0 1
1 0 1
2 0 0
0 2 1
10 3
4 2 2
2 2 4
2 0 4
1 0 0
4 2 1
0 2 3
0 3 2
4 0 2
3 4 4
4 0 0
10 8
0 5 1
0 3 3
1 1 2
1 5 1
0 3 4
1 0 1
2 2 1
2 0 1
4 2 5
1 5 0
10 8
0 2 0
0 1 3
0 0 2
2 1 2
3 0 0
1 2 3
0 1 1
0 3 0
2 1 0
3 3 3
10 5
2 1 1
2 1 2
1 1 1
2 0 1
0 0 2
0 0 0
2 2 0
0 2 2
2 0 0
1 1 2
10 2
3 1 2
2 3 1
4 0 3
3 4 2
4 4 1
3 4 0
2 2 3
4 2 1
3 0 2
0 3 2
10 9
0 0 2
2 2 2
1 2 0
2 0 0
0 2 0
2 2 1
2 1 1
0 1 2
1 1 0
0 2 2
10 4
0 1 1
3 1 0
2 1 1
1 2 3
2 3 0
2 3 3
3 1 1
2 0 2
2 0 0
3 1 2
10 6
0 0 0
1 0 2
1 0 1
1 1 2
1 0 0
1 2 1
1 1 1
2 1 2
0 2 2
1 2 2
10 2
1 0 0
1 1 1
0 1 1
0 1 2
2 1 1
2 1 0
1 1 2
2 2 2
1 2 0
0 2 2
10 4
0 0 1
0 2 0
1 0 2
2 1 0
0 1 0
1 1 1
1 2 1
2 0 1
1 2 0
1 0 0
10 4
2 5 5
4 2 1
3 0 5
1 3 1
1 4 5
2 5 1
0 1 2
1 3 2
4 5 4
1 0 2
10 7
3 3 4
2 3 2
4 3 0
0 2 3
1 1 3
4 0 2
1 4 2
3 1 1
0 4 0
2 1 2
10 2
0 0 0
1 3 1
1 2 2
3 3 0
2 3 2
0 1 3
2 0 3
3 1 0
0 3 0
2 3 1
10 6
1 3 3
1 1 1
0 0 1
0 3 3
2 2 1
2 0 3
1 3 2
2 0 2
1 0 3
0 0 3
10 4
2 0 0
1 2 0
0 1 1
2 0 2
1 1 1
2 0 1
2 1 2
2 2 0
1 2 2
1 0 0
10 9
4 0 3
0 3 3
3 2 0
4 2 3
0 1 0
0 3 4
2 1 2
1 0 1
3 1 4
1 2 1
10 9
1 0 3
0 1 3
3 1 0
3 2 3
3 2 1
0 1 0
3 2 0
1 0 2
3 3 3
0 3 0
10 3
3 1 2
1 3 0
2 0 3
2 1 1
0 0 1
3 2 2
3 2 3
1 1 0
1 3 1
0 1 1
10 9
5 1 5
5 4 5
0 2 4
1 2 0
5 4 1
4 4 2
5 4 2
2 4 0
4 2 2
3 3 2
10 6
2 2 1
1 0 1
1 1 0
2 1 1
1 2 2
0 1 2
2 0 2
2 2 0
1 0 0
0 0 0
10 8
1 0 0
3 1 1
2 2 0
3 0 1
3 2 2
0 2 3
1 2 3
1 2 0
2 1 0
3 2 1
10 2
2 4 1
2 1 3
3 3 0
2 4 0
3 3 1
2 2 1
0 4 3
4 3 2
2 4 3
0 2 4
10 4
1 2 3
0 1 4
4 0 2
0 3 0
2 0 2
0 3 2
3 4 2
2 1 4
0 4 1
2 2 2
10 6
2 1 2
5 4 4
1 1 5
1 0 2
4 5 1
2 0 0
4 1 1
1 1 3
1 5 4
4 0 3
10 7
3 5 5
4 2 5
4 1 4
0 0 2
5 1 3
3 0 1
4 0 4
1 1 5
1 1 0
2 5 4
10 8
3 4 5
0 2 3
4 5 3
1 0 0
0 1 1
3 0 0
1 4 0
2 1 2
0 1 3
4 3 1
10 7
1 0 0
0 1 1
1 0 1
0 1 2
1 2 0
1 1 1
1 2 1
0 0 1
2 1 0
2 2 0
10 5
1 0 2
1 3 3
3 0 0
3 1 3
3 1 0
0 1 2
0 2 2
2 2 3
0 3 1
1 0 3
10 9
1 1 1
3 2 4
4 3 3
3 3 0
2 2 2
2 1 2
4 1 4
3 3 1
4 1 3
3 2 0
10 4
0 1 2
0 0 3
0 3 3
3 1 1
1 1 1
3 0 1
1 1 2
2 3 0
1 0 0
0 0 1
10 4
1 2 1
2 1 0
1 0 0
1 1 1
2 0 2
2 2 1
2 0 1
0 1 0
0 2 0
2 1 1
10 4
3 5 3
0 3 4
0 3 2
3 3 1
5 0 2
0 1 4
0 4 4
4 3 5
5 2 1
5 2 4
10 7
1 0 0
0 3 2
0 2 1
3 2 3
2 1 0
3 2 0
2 0 2
1 3 2
0 3 1
0 1 3
10 2
1 3 3
1 3 2
2 3 2
3 1 0
0 2 0
3 0 1
0 3 0
2 2 2
3 3 0
3 1 1
10 5
2 3 2
1 0 1
0 0 1
0 0 0
2 1 3
1 2 1
1 3 4
3 4 4
2 4 2
2 3 4
10 8
3 0 2
3 3 0
1 1 4
2 0 1
4 0 3
0 3 1
2 1 4
1 1 0
3 1 3
4 1 3
10 2
2 0 1
0 1 4
2 1 3
4 4 0
0 0 0
4 3 1
2 3 1
2 3 2
3 1 2
1 3 0
10 2
1 3 3
2 3 4
0 0 1
4 0 2
3 4 4
0 4 3
0 1 2
4 1 1
3 1 4
0 1 0
10 8
0 0 2
1 0 1
0 1 0
2 1 1
0 1 2
2 0 2
2 2 2
1 2 2
0 2 2
1 1 1
10 2
2 0 2
1 2 1
1 1 0
1 2 2
2 1 1
0 0 2
1 1 1
1 0 2
0 0 1
2 1 0
10 6
0 1 0
2 0 2
0 2 0
1 1 2
2 2 0
2 0 1
1 1 0
1 0 2
1 2 2
0 1 2
10 3
3 1 1
0 0 1
3 3 1
0 3 0
0 1 3
2 2 3
1 3 1
3 2 3
2 3 3
0 3 2
10 7
1 0 3
1 3 2
0 0 2
1 3 1
2 2 3
3 3 1
2 2 2
1 0 1
1 2 0
3 0 1
10 2
2 0 0
0 2 0
0 2 1
1 1 0
1 2 2
1 0 0
0 0 1
2 0 1
0 2 2
2 0 2
10 3
1 3 0
3 2 0
3 0 3
3 1 0
1 0 2
3 2 3
2 2 1
2 2 3
1 0 0
1 2 1
10 2
1 0 5
5 3 0
2 0 4
0 4 0
3 1 0
0 0 3
4 1 3
1 4 1
2 5 2
4 5 1
10 4
3 2 4
0 4 4
1 3 3
1 0 0
2 2 1
0 1 4
2 1 0
3 1 4
3 2 1
2 1 1
10 9
3 1 5
5 1 1
4 2 2
1 0 3
2 0 2
2 3 0
1 5 4
1 5 5
1 3 2
1 2 3
10 7
1 2 0
1 0 1
0 2 2
2 2 0
1 2 1
0 0 2
0 1 1
1 2 2
2 2 1
2 0 0
10 4
2 0 1
1 3 3
0 0 3
3 3 2
0 3 3
2 0 2
2 2 3
2 3 0
1 2 0
3 2 1
10 8
0 4 4
0 3 3
1 2 0
4 4 1
0 2 4
4 0 1
4 3 1
3 0 0
3 2 1
0 4 0
10 3
2 1 1
2 2 0
3 1 0
1 1 3
0 0 0
2 0 2
1 3 2
2 3 0
3 2 0
1 2 1
10 6
0 2 0
2 0 1
2 0 0
1 0 1
1 0 2
2 2 2
2 2 0
1 1 0
0 1 0
1 0 0
10 7
1 2 2
0 1 0
1 0 2
0 0 1
1 1 1
0 0 0
1 2 0
2 1 2
2 0 0
1 1 0
10 8
0 1 1
2 2 2
1 0 2
1 1 0
1 2 1
2 0 0
0 1 2
0 2 1
0 0 0
1 0 0
10 9
3 0 1
2 2 3
2 0 2
3 3 2
3 1 0
3 0 3
1 2 2
0 0 3
1 1 1
1 1 3
10 5
1 3 2
2 1 1
2 2 3
1 3 1
3 1 1
0 0 1
3 1 3
2 3 0
1 3 3
0 1 2
10 3
0 2 5
4 4 5
5 0 1
3 0 2
1 0 3
1 3 4
2 2 3
5 4 5
1 2 4
5 5 1
10 5
2 3 0
3 0 2
3 3 1
1 2 3
3 1 3
4 2 4
2 1 3
3 3 0
2 4 1
0 2 3
10 2
1 5 2
4 2 4
2 0 3
5 1 2
4 4 1
5 2 5
5 5 0
4 4 5
2 2 5
2 1 4
10 8
1 3 1
4 2 0
2 1 2
2 2 4
1 0 4
3 2 0
4 0 0
2 4 4
0 2 3
3 1 2
10 6
0 1 0
5 5 0
0 1 5
1 0 3
5 2 2
2 2 5
0 0 3
0 2 0
0 1 3
5 5 5
10 2
0 2 2
0 4 0
2 4 1
1 3 3
3 3 4
1 4 2
3 3 3
4 1 4
3 2 2
3 2 0
10 9
2 1 1
0 2 0
1 2 2
2 0 2
0 0 2
2 0 0
1 1 2
1 0 1
0 2 1
2 0 1
10 4
2 2 3
2 1 3
0 2 0
1 1 0
0 2 1
2 2 1
3 0 2
0 1 3
3 3 3
1 1 2
10 5
2 3 0
3 1 4
3 0 0
0 5 2
4 3 0
1 2 2
2 0 1
3 3 3
5 3 1
4 4 0
10 7
4 5 2
4 2 1
1 5 5
1 5 1
0 3 4
4 3 3
1 1 1
5 1 5
5 2 1
0 1 0
10 9
1 1 4
4 3 3
2 4 4
0 4 2
4 2 1
4 4 3
1 0 4
3 1 0
4 0 3
4 1 4
10 9
3 2 2
3 0 3
3 0 2
3 1 0
1 3 3
0 1 2
0 0 2
1 0 0
0 3 1
1 0 2
10 3
2 0 0
0 2 1
2 3 1
0 1 2
1 3 1
0 1 0
2 2 1
0 0 2
2 2 3
2 0 3
10 7
2 3 3
1 1 1
3 3 2
1 1 2
0 2 3
3 3 1
3 2 0
1 2 2
0 3 3
2 3 1
10 7
2 0 1
2 1 1
1 1 1
0 2 2
1 2 1
1 0 1
1 2 0
1 2 2
1 1 2
2 0 2
10 9
2 0 0
1 2 3
0 2 2
3 3 0
0 3 2
0 3 0
3 0 3
2 2 1
3 3 2
1 0 0
10 3
4 1 3
0 3 0
0 0 1
2 4 3
1 3 2
4 4 4
4 0 4
0 4 2
1 4 0
0 2 1
10 6
2 3 1
0 0 3
0 2 1
3 0 2
3 2 2
2 2 0
0 3 1
0 3 0
0 1 2
2 0 0
10 5
0 0 1
0 1 1
1 0 1
0 2 2
2 1 2
1 2 1
1 2 2
2 2 0
0 1 2
2 0 0
10 2
4 2 0
0 5 5
0 3 0
2 1 0
0 3 4
2 4 0
3 2 4
3 0 0
5 5 3
3 2 0
10 3
4 3 3
4 1 1
2 1 0
3 3 1
0 2 2
0 2 4
4 4 2
2 0 4
2 0 1
3 3 2
10 9
2 1 1
1 2 2
1 0 0
2 2 0
2 0 0
0 0 2
0 1 1
2 2 1
2 1 0
1 0 1
10 4
1 2 3
5 0 1
4 3 0
2 5 2
0 4 0
2 0 0
2 3 0
3 1 5
1 1 3
4 5 4
10 4
0 0 1
2 2 2
0 2 2
1 0 2
0 2 1
2 0 1
0 1 2
1 1 2
0 1 1
0 0 2
10 9
1 1 0
2 2 2
0 1 0
2 0 0
1 2 0
0 1 1
2 1 2
1 0 2
0 0 0
0 2 1
10 9
5 5 5
2 1 2
4 2 2
1 4 3
2 5 1
1 5 1
3 4 3
1 1 3
5 0 1
1 5 4
10 7
2 3 0
1 3 2
2 0 1
1 0 0
1 1 3
3 1 1
1 3 0
1 1 0
2 3 3
3 0 3
10 5
0 1 2
1 0 2
0 1 0
1 1 2
2 2 1
1 0 0
0 0 1
1 2 0
0 1 1
2 0 2
10 7
1 2 0
0 2 4
2 1 2
2 1 4
0 4 4
1 3 3
0 0 4
2 2 3
1 1 1
0 3 0
10 9
2 1 0
3 0 2
2 3 1
2 3 2
1 2 0
0 2 3
0 0 1
3 1 3
2 1 3
1 1 0
10 2
0 0 0
1 2 1
0 1 1
2 0 1
0 1 0
1 1 1
2 1 0
0 0 2
2 2 1
2 1 2
10 5
0 1 0
2 1 1
2 2 2
0 0 2
1 0 0
0 0 1
2 1 2
1 2 0
0 2 0
2 2 0
10 7
3 3 4
2 4 0
1 0 1
4 3 2
0 0 2
1 1 1
4 4 3
4 1 1
1 4 1
1 3 3
10 3
5 1 0
5 3 3
0 1 2
2 1 0
5 2 4
3 5 0
1 2 2
1 3 0
0 4 2
1 3 3
10 9
3 2 1
2 0 1
1 0 0
3 2 2
0 0 1
1 1 0
1 0 3
2 1 3
0 3 2
2 2 3
10 8
3 0 1
3 3 2
3 1 1
0 3 3
1 0 2
1 2 2
3 2 1
3 3 3
3 1 3
3 0 2
10 6
1 0 1
3 2 4
1 3 4
1 2 0
1 3 3
3 4 1
4 4 4
3 0 0
3 1 1
0 0 1
10 8
0 3 5
2 5 2
4 5 1
3 3 1
5 5 1
5 2 5
2 2 4
0 1 2
3 5 1
2 4 4
10 5
0 2 1
0 2 3
3 0 2
4 2 4
1 4 2
0 3 4
1 3 1
1 2 4
3 3 4
1 4 3
10 5
3 3 2
2 4 3
3 1 3
0 3 0
0 0 2
4 4 2
2 3 1
3 3 3
3 2 4
2 1 2
10 6
0 3 0
1 2 0
3 0 0
0 2 2
4 0 0
0 0 2
4 2 3
1 0 1
4 3 4
2 0 2
10 6
3 3 2
2 0 0
3 1 1
1 1 1
2 1 2
1 2 0
0 2 1
2 1 1
2 2 0
3 3 0
10 2
2 1 2
2 1 0
2 2 1
1 2 0
0 2 2
0 1 0
2 1 1
1 1 0
2 0 1
1 1 1
10 4
5 3 0
0 0 2
0 5 3
4 2 1
2 4 0
4 2 2
0 4 5
1 4 5
2 1 3
1 5 5
10 2
4 1 4
0 2 0
2 5 1
2 5 0
5 0 3
2 1 3
1 4 1
1 1 2
3 3 1
0 5 5
10 7
4 3 4
1 4 4
2 0 0
2 1 4
0 1 3
1 1 3
0 2 5
1 2 1
3 3 1
4 0 0
10 9
1 0 1
3 2 2
2 0 2
0 1 0
3 2 1
0 3 1
1 0 2
1 3 3
3 3 0
1 3 0
10 9
1 1 2
2 4 3
4 2 2
3 4 3
3 2 0
0 4 0
2 4 2
4 4 0
3 3 4
0 3 1
10 2
2 2 2
5 4 0
0 2 0
3 0 0
5 5 0
4 4 4
0 5 1
3 0 2
0 4 4
4 4 5
10 6
0 0 2
0 0 5
0 2 5
3 2 3
1 5 4
4 0 0
3 5 3
1 3 1
4 4 2
2 0 0
10 9
1 1 2
2 2 0
1 1 1
0 0 0
2 0 1
2 1 2
1 2 0
2 1 0
0 0 2
1 2 2
10 5
1 1 2
0 2 2
3 2 2
0 3 2
3 3 1
3 1 2
0 0 1
3 3 0
0 3 1
2 3 1
10 6
2 0 2
0 0 2
1 1 0
1 1 1
1 2 2
1 1 2
2 1 0
0 1 2
0 0 0
0 2 2
10 8
1 2 2
0 1 2
2 0 0
0 0 1
0 1 1
2 2 2
2 1 0
0 0 0
0 2 0
2 1 2
10 3
0 0 0
2 2 2
2 1 2
0 1 1
2 0 1
1 1 2
2 2 0
1 1 1
2 0 0
2 0 2
10 6
4 3 0
5 2 3
1 5 4
4 3 5
0 4 0
4 0 4
4 0 3
1 5 0
2 0 5
2 1 0
10 9
1 3 3
2 3 3
1 3 0
1 1 3
3 0 3
0 3 1
2 0 2
0 3 2
3 1 3
3 3 0
10 9
4 4 0
0 4 3
1 0 3
1 3 0
2 4 2
3 1 3
2 0 4
2 0 1
4 3 1
2 1 1
10 7
1 1 3
1 3 2
0 0 3
3 3 1
3 2 3
1 3 1
2 0 0
0 3 3
3 0 3
3 2 2
10 4
1 2 0
1 1 1
1 0 2
2 2 1
2 0 1
0 1 2
0 2 1
2 1 1
0 2 0
0 2 2
10 7
3 5 2
5 3 1
3 1 0
3 5 3
4 1 3
0 5 2
4 4 3
2 2 3
0 2 0
1 2 3
10 5
3 2 2
2 2 1
2 3 1
3 1 1
0 1 2
3 2 3
0 1 0
1 1 0
0 1 3
3 1 2
10 2
3 0 4
1 2 4
2 0 4
1 4 1
0 0 1
4 3 1
3 1 2
1 3 0
1 1 1
0 2 1
10 7
2 2 1
4 2 0
0 4 1
3 2 0
0 0 4
0 0 1
1 1 3
0 2 3
3 1 2
1 1 2
10 4
3 2 4
4 2 3
4 0 0
0 1 4
0 3 1
2 0 1
3 4 3
1 0 1
0 3 4
0 4 0
10 3
1 1 1
2 0 0
4 4 1
4 2 3
1 3 1
1 4 0
2 0 2
2 3 3
4 4 2
3 4 3
10 4
1 1 2
2 2 1
2 0 2
2 2 0
1 1 1
0 1 1
1 0 0
2 1 1
1 2 0
0 2 2
10 9
3 4 2
0 4 4
2 3 2
2 4 1
0 3 1
1 2 2
3 1 3
4 1 3
3 2 1
1 2 1
10 6
2 0 1
1 2 1
2 3 0
1 0 1
0 1 0
3 3 3
2 2 0
2 0 0
2 2 2
2 3 3
10 9
2 3 0
3 1 3
3 0 3
0 3 1
3 2 1
1 2 3
2 1 1
1 0 1
2 3 3
0 2 3
10 5
3 0 2
2 3 3
0 3 0
2 0 1
0 0 0
3 2 1
2 1 2
0 0 2
3 3 2
1 3 1
10 6
2 1 1
0 1 2
0 2 1
1 2 2
1 1 0
0 2 2
2 0 0
2 1 0
1 2 0
1 0 2
10 6
3 5 0
3 0 4
1 1 3
5 3 3
2 3 1
3 3 4
5 3 4
2 4 3
1 4 2
3 5 3
10 9
3 0 3
4 3 3
2 4 0
1 2 1
2 2 1
1 2 4
2 4 1
1 3 3
1 4 4
2 1 4
10 5
2 2 2
2 2 0
2 2 1
0 2 2
1 1 2
0 0 2
0 1 2
1 2 0
2 0 2
2 1 0
10 2
1 3 2
3 0 2
5 0 2
1 0 5
1 4 5
4 4 0
2 4 5
0 0 1
2 0 5
2 2 4
10 8
1 3 4
4 0 0
0 1 4
3 0 4
4 2 1
0 0 3
4 2 4
3 2 4
0 3 0
1 2 4
10 5
3 0 3
3 2 1
1 1 0
1 0 3
1 0 0
4 2 0
3 0 4
3 1 1
3 4 4
4 0 0
10 4
1 3 3
0 4 1
3 2 3
1 4 4
2 3 3
1 2 3
0 1 4
0 4 4
4 4 3
1 0 2
10 5
0 4 2
3 4 1
4 4 1
2 4 0
1 2 2
3 2 0
3 2 3
1 1 2
2 1 4
4 2 0
10 4
1 0 1
1 2 2
2 1 0
2 2 2
0 1 2
0 2 1
1 0 2
1 1 1
1 1 0
2 0 0
10 8
4 1 3
0 0 3
2 1 1
3 3 3
0 1 1
1 4 3
1 1 1
2 0 3
0 0 0
1 1 0
10 5
2 0 2
1 5 1
2 0 0
2 5 1
5 0 5
4 2 1
0 4 2
0 1 2
0 4 5
2 1 2
10 6
4 4 1
4 1 0
5 5 2
2 0 3
1 3 1
3 2 2
4 3 3
1 3 3
4 3 2
1 2 0
10 2
0 0 1
1 0 0
2 0 0
2 2 2
0 0 0
1 1 0
1 2 2
1 0 1
0 2 1
0 1 0
10 7
5 5 0
2 4 5
4 3 5
1 0 3
3 1 3
2 1 3
0 4 1
3 4 2
0 3 4
2 4 3
10 9
2 0 5
2 0 3
5 3 5
0 5 0
5 0 2
5 0 3
0 2 1
1 1 4
4 3 4
4 2 0
10 8
2 2 0
2 0 0
1 1 1
0 1 2
2 0 1
0 2 0
1 2 2
0 0 1
1 1 2
0 1 1
10 3
1 0 0
0 1 2
2 2 2
1 0 2
2 1 2
1 1 0
1 0 1
0 1 1
2 2 0
0 1 0
10 3
0 0 2
1 1 0
2 2 2
0 0 0
1 2 1
2 1 0
0 1 1
2 2 1
0 2 0
1 2 0
10 7
2 0 2
2 2 1
0 2 1
0 1 2
0 2 2
2 0 1
2 0 0
1 0 2
1 1 2
1 1 1
10 4
4 0 5
5 0 5
5 5 2
1 2 4
0 2 5
1 3 1
4 4 2
4 1 3
5 1 3
3 1 3
10 3
0 0 0
0 2 1
0 3 3
2 5 0
5 0 2
0 3 2
4 2 0
0 2 4
4 3 2
3 2 0
10 3
0 4 0
3 3 0
1 2 0
2 2 3
2 3 1
1 1 2
2 4 4
3 1 1
0 0 4
0 1 0
10 2
0 1 1
1 0 0
1 1 0
0 1 2
1 0 1
0 1 0
2 0 1
1 0 2
2 2 2
1 2 1
10 6
2 1 2
1 1 1
1 1 2
0 1 0
0 0 2
0 2 1
3 3 0
0 3 3
3 1 1
1 0 2
10 7
5 4 0
1 0 2
2 0 5
5 1 5
1 4 2
4 4 5
4 2 1
0 1 1
4 4 4
0 1 2
10 7
2 1 2
2 2 0
2 0 2
0 1 2
2 1 1
0 0 0
1 1 2
1 0 2
1 1 1
2 2 1
10 4
0 0 3
1 2 0
1 2 3
2 1 3
0 2 2
2 4 0
4 3 3
1 0 0
4 4 4
2 0 3
10 8
1 4 1
0 0 3
3 4 0
4 3 4
4 0 5
1 4 0
3 5 4
2 5 3
0 0 4
0 3 1
10 4
0 0 0
1 0 1
1 1 1
4 4 3
0 2 0
4 0 1
4 3 4
3 2 4
3 1 0
4 2 0
10 3
2 3 1
1 0 5
3 0 0
1 1 3
4 2 1
4 5 2
0 2 4
3 5 0
5 3 0
0 2 5
10 3
0 1 2
1 3 1
1 3 4
1 3 0
4 3 0
0 3 1
2 4 1
2 3 3
1 1 2
1 2 3
10 6
3 5 1
2 4 2
0 3 3
2 1 1
0 4 0
0 1 4
4 4 1
2 0 0
4 0 0
0 5 5
10 9
0 0 0
1 2 0
1 0 2
2 0 0
0 1 1
1 0 0
0 2 2
2 2 1
1 1 1
2 2 2
10 5
5 2 5
0 1 2
0 3 0
4 5 5
3 2 0
1 3 1
4 3 3
0 4 2
2 1 3
2 0 1
10 8
0 1 1
1 1 1
2 2 0
2 2 1
0 2 2
2 2 2
0 0 2
0 2 0
1 1 2
1 2 1
10 7
1 1 1
2 0 2
0 0 1
2 2 1
0 0 0
1 0 2
1 2 2
0 1 2
2 1 2
0 1 0
10 6
0 0 2
2 0 1
0 1 0
2 2 1
1 2 0
1 1 2
2 0 0
0 1 2
2 2 2
1 2 2
10 3
3 1 2
2 2 0
1 2 2
1 0 2
3 1 3
1 2 0
3 2 1
3 3 0
0 1 3
2 2 3
10 7
5 2 2
0 5 4
2 2 5
2 5 4
2 4 0
1 3 1
4 0 3
3 1 2
3 1 3
5 5 2
10 9
1 1 0
1 4 5
0 0 3
4 2 3
0 1 2
5 5 3
3 2 2
0 5 2
0 1 3
5 0 3
10 9
0 0 5
5 2 3
2 2 4
4 2 3
4 5 2
1 4 2
3 1 5
0 3 0
2 1 2
0 1 5
10 2
1 2 2
2 0 1
1 2 0
0 2 0
2 2 1
0 1 1
1 0 2
2 2 2
2 1 1
2 1 2
10 8
0 0 1
1 2 0
0 2 0
2 0 1
2 2 1
2 1 1
2 1 0
0 1 2
1 2 1
1 0 0
10 3
1 1 2
1 1 0
2 1 2
0 2 2
1 2 2
1 2 0
2 2 1
0 1 1
0 0 2
2 0 0
10 6
0 0 1
4 3 5
5 4 4
1 2 0
1 3 4
2 5 5
4 2 3
5 3 1
5 4 0
0 2 5
10 4
1 0 0
1 0 1
1 2 4
0 0 3
0 0 1
0 4 4
4 2 3
0 2 4
4 2 2
0 3 1
10 8
0 1 2
3 2 5
0 4 0
2 0 0
3 0 2
5 3 3
1 3 0
1 5 3
5 3 0
5 3 4
10 6
1 1 0
1 4 2
0 1 1
1 1 1
3 0 1
0 4 2
0 0 1
2 1 4
0 3 0
4 0 1
10 2
2 1 0
1 0 1
3 0 1
1 1 0
0 2 2
1 0 2
0 0 2
1 3 0
2 2 3
0 1 1
10 6
5 3 3
5 0 0
4 1 1
2 4 3
0 3 4
4 0 5
4 0 1
2 1 3
5 2 1
4 5 1
10 4
0 1 1
1 0 0
2 1 3
1 1 0
3 1 0
0 2 3
3 1 3
2 1 1
1 3 1
1 3 0
10 4
4 1 4
0 2 4
0 2 5
2 3 5
3 1 4
1 2 4
3 3 2
1 2 1
3 0 3
1 2 2
10 2
0 0 0
0 1 1
2 0 1
1 2 2
2 1 1
2 0 2
1 1 2
1 2 1
1 1 0
2 2 0
10 2
3 0 1
1 1 3
3 0 0
0 3 2
1 0 0
3 1 3
1 2 2
0 3 0
0 2 2
2 3 3
10 5
2 2 1
3 1 0
1 1 1
0 2 2
2 2 3
0 0 3
0 2 1
0 0 0
3 2 3
0 1 0
10 6
1 3 0
4 1 5
0 2 4
3 4 1
1 0 4
1 4 5
2 2 0
2 2 2
3 5 4
5 1 1
10 5
0 0 1
1 1 2
1 0 2
2 0 1
0 0 2
1 0 0
0 2 1
1 2 0
1 1 0
1 0 1
10 7
0 0 0
0 1 1
0 3 3
3 2 0
1 1 2
1 2 2
1 2 0
3 1 0
1 0 3
0 1 3
10 5
0 1 2
1 1 0
1 2 1
0 2 1
1 1 2
0 1 1
1 2 0
0 0 1
2 0 2
0 0 2
10 7
0 5 0
4 5 5
3 1 4
0 5 2
3 1 2
2 3 0
3 3 3
2 0 2
5 1 3
2 3 4
10 2
2 0 1
1 1 3
4 3 1
1 0 4
0 1 3
2 4 4
1 2 4
3 4 2
1 4 1
3 3 4
10 3
1 4 0
0 2 4
4 4 4
4 3 3
4 1 3
3 1 1
3 3 0
1 1 2
3 1 2
3 1 3
10 6
3 1 3
0 1 1
0 0 0
1 2 0
2 3 2
3 0 2
2 0 2
0 2 2
1 2 1
3 0 3
10 7
4 3 0
0 0 2
2 3 5
0 3 3
0 2 3
5 0 2
0 1 5
3 1 3
1 5 4
5 5 4
10 3
1 1 2
3 3 2
1 2 3
3 2 2
3 1 3
0 1 2
2 2 3
0 3 1
1 1 3
3 1 0
10 8
3 2 4
1 3 2
4 0 3
2 5 2
0 2 4
2 5 0
4 1 1
4 4 4
5 5 5
1 0 2
10 6
1 0 3
3 5 2
3 5 3
1 5 3
2 2 0
0 5 1
4 5 1
2 0 1
1 1 5
1 3 1
10 2
4 5 3
5 5 5
5 0 5
2 1 4
1 3 4
5 2 2
4 5 2
0 1 0
3 4 5
2 4 0
10 3
1 1 0
0 0 0
2 0 0
0 2 2
2 0 1
0 1 1
2 2 2
2 1 1
2 2 0
1 0 1
10 3
2 2 0
0 2 0
2 0 1
0 1 2
0 0 0
0 2 2
0 1 0
2 1 0
1 2 0
1 0 0
10 7
0 0 1
2 1 2
2 0 2
2 0 0
1 0 2
1 2 1
1 2 0
2 2 0
2 1 1
2 2 1
10 2
0 0 4
4 4 4
2 1 4
2 2 2
0 4 4
1 1 4
1 4 4
1 3 3
4 2 1
4 3 4
10 5
2 1 0
2 0 1
0 2 2
0 0 1
1 1 1
0 1 2
1 0 0
1 2 0
0 0 0
0 2 0
10 6
0 0 0
0 3 1
2 1 1
0 3 0
3 2 0
2 3 2
3 0 1
3 3 1
0 0 3
2 0 0
10 4
2 4 2
2 1 1
2 4 4
4 3 4
0 1 2
1 1 4
4 2 3
0 3 1
0 3 0
1 3 3
10 8
3 2 0
0 3 0
3 1 3
2 0 0
2 3 2
3 2 3
1 1 3
3 2 2
1 1 0
1 0 2
10 7
3 1 0
0 1 0
0 1 2
2 2 1
2 3 2
2 2 3
1 0 0
2 0 0
2 3 3
0 3 2
10 4
3 0 2
2 2 2
0 0 3
3 2 3
3 3 3
3 1 1
0 1 3
3 3 2
3 2 2
1 1 3
10 6
0 2 1
1 2 1
1 3 3
2 3 3
0 1 1
3 0 0
1 1 2
3 0 2
3 3 0
0 0 3
10 7
4 3 3
1 3 0
1 1 2
1 0 2
2 1 0
3 4 3
2 4 0
4 2 4
2 4 2
0 2 3
10 2
1 0 1
2 0 0
0 2 2
0 2 0
1 2 1
0 0 2
2 2 0
2 2 1
1 2 2
1 2 0
10 7
2 1 1
5 1 2
2 4 0
3 5 2
5 1 0
4 1 1
2 0 1
2 5 4
3 3 5
5 4 1
10 8
3 1 2
3 0 1
0 3 2
1 0 2
3 3 3
2 1 2
0 0 3
2 3 1
2 0 1
1 2 2
10 3
2 3 1
3 3 0
2 4 2
5 3 3
3 5 4
0 1 5
5 0 5
1 2 2
2 1 4
4 3 1
10 4
0 1 0
2 2 1
1 1 0
2 1 2
2 1 0
2 0 1
0 0 1
1 1 2
2 1 1
0 0 0
10 6
0 2 1
5 4 0
5 3 2
3 3 1
3 2 3
5 0 4
5 2 1
4 0 0
3 1 3
2 1 4
10 7
4 4 2
3 2 2
1 0 2
0 4 2
0 0 0
0 3 4
0 3 1
0 3 2
0 0 1
4 0 0
10 4
1 1 0
3 0 0
0 1 3
3 3 1
0 1 0
1 0 2
3 2 3
3 1 1
1 3 0
3 0 3
10 8
2 1 1
2 0 1
0 1 3
2 1 0
1 2 3
3 3 0
0 2 0
3 0 3
3 2 0
1 3 1
10 6
3 1 1
4 2 4
1 3 0
4 5 4
1 4 5
5 5 3
2 3 3
3 5 2
2 0 4
1 3 4
10 3
2 1 0
2 0 3
2 3 2
1 3 0
0 0 2
0 3 2
3 3 1
0 2 0
0 2 2
3 1 0
10 3
0 2 0
1 1 2
2 0 2
2 2 1
0 1 1
1 0 2
2 1 2
1 0 1
2 1 1
1 2 1
10 7
0 0 0
1 0 1
1 0 2
2 1 2
2 1 1
1 1 0
1 2 2
1 0 0
1 2 1
0 2 0
10 4
0 0 1
1 2 3
2 0 0
3 1 1
1 1 0
0 0 2
1 3 1
0 2 3
1 1 2
2 3 0
10 7
0 0 2
0 2 2
1 2 0
2 1 1
2 0 2
1 2 2
1 2 1
2 0 0
2 1 2
2 1 0
10 5
5 1 0
0 0 4
1 5 2
5 4 5
3 3 4
0 3 1
0 1 4
0 3 2
0 0 2
1 3 0
10 4
2 0 1
3 0 2
2 2 2
1 3 3
3 0 3
1 3 0
1 2 1
2 1 1
2 3 2
0 1 1
10 9
2 0 4
4 1 0
4 5 1
4 5 0
5 4 5
3 3 4
5 4 3
2 5 2
3 5 5
5 4 4
10 9
1 2 3
1 2 1
0 3 2
1 1 0
2 0 2
3 0 2
1 1 1
2 0 0
2 1 1
0 0 1
10 9
1 2 1
1 1 0
0 0 2
2 0 2
0 2 2
0 2 1
2 2 0
2 2 2
2 1 0
0 1 0
10 3
3 3 0
3 1 0
1 1 0
0 3 3
2 3 2
3 2 0
0 1 0
2 0 2
1 3 1
0 3 2
10 6
4 2 2
2 2 5
3 0 5
2 1 5
4 0 5
3 1 2
3 2 5
1 4 1
3 3 0
5 1 4
10 6
2 4 3
3 2 4
4 3 4
1 2 4
3 1 1
1 2 0
3 1 0
4 2 3
4 2 0
4 0 3
10 5
0 4 3
4 4 3
4 3 1
4 2 0
4 2 3
1 2 4
1 2 3
4 2 4
2 3 1
0 0 3
10 3
2 1 2
1 0 2
3 2 3
1 2 2
0 4 2
2 4 2
1 4 4
3 2 4
2 0 4
3 3 2
10 8
2 1 2
0 0 2
0 1 1
0 0 0
1 2 1
1 1 0
2 0 0
1 2 0
1 0 1
2 1 1
10 5
1 1 0
0 2 1
0 2 2
1 2 1
2 0 2
2 1 2
2 2 0
1 1 1
2 1 0
2 2 1
10 7
2 1 0
0 0 1
2 0 2
1 0 2
2 0 0
0 2 0
2 0 1
1 2 2
1 0 0
2 2 2
10 9
3 0 3
1 0 2
2 1 0
3 0 1
0 3 3
3 0 2
0 3 1
0 2 1
2 2 1
2 1 2
10 6
2 0 2
2 1 2
2 3 1
2 1 0
2 2 2
0 0 0
2 1 1
3 0 0
0 1 3
1 2 3
10 9
3 0 0
2 2 2
1 2 1
2 2 4
2 4 4
0 3 1
1 2 4
3 2 0
0 1 2
2 4 2
10 8
4 1 4
4 3 3
4 3 2
3 0 0
1 0 5
0 4 2
4 1 1
3 5 5
4 4 5
1 4 4
10 8
1 3 5
2 4 1
2 2 4
3 5 1
3 4 2
1 4 5
5 2 4
1 3 3
5 1 3
5 5 5
10 9
0 2 0
0 2 2
3 2 2
1 1 0
3 1 1
3 1 2
1 2 1
0 0 2
2 2 3
3 3 2
10 6
1 2 1
2 0 2
0 0 0
1 1 0
2 2 2
2 2 1
1 0 0
1 0 2
2 1 2
2 0 1
10 7
0 1 1
1 1 2
1 1 1
2 0 1
0 0 2
1 2 2
1 0 1
1 0 0
0 1 2
0 0 0
10 4
2 3 3
1 2 1
2 1 2
1 1 0
3 0 1
2 3 1
3 3 0
0 3 1
2 1 3
0 0 0
10 9
3 4 2
3 1 4
0 4 3
1 1 0
4 1 4
4 3 3
5 1 3
5 0 1
3 4 5
3 3 4
10 4
0 2 1
1 1 2
0 0 0
0 2 0
2 0 1
2 1 0
0 1 0
0 0 2
2 2 0
0 2 2
10 8
4 2 5
5 0 2
4 0 4
1 3 0
5 0 0
3 1 4
3 5 4
5 2 1
4 5 1
4 3 0
10 3
2 0 3
3 3 2
0 2 2
2 2 0
3 1 2
2 1 2
2 3 2
1 0 0
1 2 2
3 2 1
10 9
2 0 2
0 0 2
2 2 1
2 1 1
1 1 1
2 2 0
2 0 0
0 0 0
2 1 0
2 0 1
10 6
1 3 2
1 1 0
4 4 4
2 4 0
0 4 4
1 0 0
3 2 2
1 4 4
3 1 4
1 3 4
10 5
2 4 1
2 1 5
4 5 4
0 1 5
4 3 4
2 3 4
1 4 5
2 3 5
4 3 2
3 4 2
10 4
2 0 1
0 2 1
3 1 0
0 3 0
3 3 1
3 2 1
2 0 3
1 2 0
1 3 0
2 1 3
10 4
3 3 3
4 0 4
3 4 1
1 0 3
4 1 3
2 1 2
4 2 4
1 4 4
4 4 2
3 3 0
10 9
2 2 0
1 0 1
2 1 2
2 0 0
2 0 2
2 0 1
1 0 0
0 2 1
1 2 1
0 0 2
10 7
2 3 2
1 4 0
3 3 0
4 1 3
4 1 0
2 2 4
0 3 1
2 2 0
0 2 4
1 2 4
10 5
5 1 3
0 4 1
3 2 3
0 3 4
0 1 3
2 4 5
1 2 2
3 1 5
0 3 0
2 0 4
10 9
0 2 2
1 1 1
0 2 0
1 2 2
0 0 1
0 1 1
2 1 0
2 1 2
1 1 0
1 0 2
10 2
0 1 1
3 2 2
3 2 3
0 0 3
3 0 2
1 2 3
1 2 0
2 2 2
0 3 0
2 0 2
10 6
5 4 2
3 2 4
4 1 3
3 5 2
2 4 1
5 3 1
1 5 0
2 2 3
5 2 5
1 3 4
10 5
1 1 0
1 2 0
0 2 0
0 2 2
0 0 1
2 0 1
0 1 0
1 0 2
1 2 1
2 1 0
10 4
0 1 2
2 2 2
1 2 0
2 0 0
1 0 1
1 2 1
0 2 0
2 1 2
0 0 0
0 1 0
10 3
1 0 1
0 2 0
2 2 0
1 2 2
0 2 2
2 0 1
0 0 2
1 2 0
2 1 0
0 1 2
10 9
2 1 1
1 1 1
3 0 3
2 3 0
2 1 0
1 3 3
3 1 0
1 1 0
1 2 3
0 0 2
10 2
2 0 2
1 2 0
2 2 2
0 1 0
0 2 2
0 0 0
1 1 2
0 2 0
2 2 1
1 0 1
10 8
0 0 1
2 1 1
1 0 2
2 0 2
1 1 0
0 0 2
2 1 2
0 1 2
0 1 0
0 1 1
10 5
0 2 1
1 0 2
1 0 1
2 0 0
0 0 2
1 1 2
1 2 0
1 2 1
2 1 1
0 2 0
10 5
3 1 0
1 4 5
5 4 1
2 1 5
0 1 1
1 1 4
5 5 2
5 1 3
3 4 2
4 2 1
10 6
3 0 1
2 0 3
4 4 3
0 4 3
3 4 0
3 0 0
0 2 3
2 0 4
1 4 0
3 2 3
10 3
1 3 3
4 1 0
2 4 4
1 3 4
2 3 3
3 0 0
0 3 3
3 2 0
1 0 3
1 1 4
10 2
3 1 3
1 3 3
0 1 1
0 2 2
0 3 1
1 1 1
2 2 2
2 0 2
1 2 0
0 3 3
10 8
1 1 5
0 5 2
2 0 0
3 4 1
2 2 4
3 1 1
3 5 1
1 4 1
3 0 2
1 3 3
10 2
0 3 0
3 0 0
4 2 1
3 1 3
1 1 1
4 3 2
0 1 3
3 2 3
2 0 3
4 2 0
10 9
0 0 2
4 2 5
2 0 1
1 5 4
2 3 0
4 4 2
5 5 4
3 0 5
4 4 1
4 1 2
10 5
1 4 3
0 4 4
0 4 0
3 3 2
4 5 2
4 0 2
1 4 2
1 5 3
3 5 5
2 2 2
10 9
0 1 0
1 1 2
0 0 1
2 0 1
2 2 2
2 1 1
0 0 2
1 1 0
0 1 1
0 2 2
10 8
1 0 1
2 0 2
1 2 2
2 2 1
0 1 0
2 0 0
2 1 2
0 0 2
0 1 2
1 1 0
10 8
5 5 5
1 4 0
5 4 1
5 1 0
2 3 3
1 5 3
0 2 2
5 2 4
1 3 3
0 3 1
10 2
1 0 1
2 0 0
0 0 1
0 1 1
1 2 2
2 2 0
1 1 1
0 1 2
0 0 2
0 0 0
10 5
2 2 0
3 0 1
1 0 1
3 3 1
0 2 3
0 3 3
1 3 3
2 0 0
1 2 3
0 2 0
10 2
3 1 2
0 2 2
1 0 3
0 1 2
1 0 2
2 1 1
3 0 2
2 3 3
0 0 0
1 1 2
10 2
2 1 0
3 4 4
2 1 1
2 4 3
1 2 3
3 3 2
0 3 4
3 3 3
4 1 4
0 4 0
10 3
2 1 0
0 0 3
1 2 0
0 3 2
3 3 2
0 1 3
3 1 0
1 0 1
1 1 0
2 2 0
10 9
4 0 3
4 3 4
1 4 4
4 1 1
3 1 4
3 4 1
0 3 0
0 4 0
4 0 1
0 1 0
10 2
2 3 2
2 0 1
4 1 4
1 1 1
0 1 4
1 0 1
3 4 0
1 1 3
2 4 4
0 4 0
10 7
0 1 2
3 0 1
1 4 0
4 4 4
2 3 3
4 1 1
1 1 3
3 3 2
3 3 3
1 3 1
10 4
2 1 0
2 2 3
1 1 1
0 1 3
3 3 3
2 3 2
2 1 3
2 2 0
1 3 3
2 0 2
10 2
1 2 0
5 5 2
4 5 5
0 5 3
1 2 3
0 4 0
5 1 5
1 1 4
0 2 4
3 1 4
10 6
4 4 0
3 2 4
0 1 3
0 0 1
4 1 3
0 4 0
2 0 3
0 0 2
3 4 3
3 2 2
10 2
1 1 0
0 1 0
0 2 0
1 2 2
1 2 1
0 2 1
0 2 2
1 0 2
0 0 2
0 1 1
10 3
5 5 3
0 2 4
2 5 4
2 1 2
3 3 3
4 0 2
3 2 4
0 0 3
4 1 4
4 3 2
10 4
2 2 2
5 0 2
4 0 2
1 2 0
4 0 5
2 3 4
2 4 0
1 5 5
5 3 1
1 2 4
10 6
0 0 0
3 4 2
3 2 1
2 2 0
3 2 4
4 3 1
0 2 4
3 2 2
2 3 0
1 3 0
10 7
2 1 1
4 4 3
3 1 0
3 4 0
1 4 2
4 4 1
3 3 3
3 1 4
4 4 4
1 3 3
10 2
5 3 4
0 1 3
2 5 2
4 2 3
0 0 1
4 3 0
4 4 1
3 2 5
1 0 4
1 0 2
10 7
2 5 0
3 2 0
4 1 0
2 5 5
2 4 3
4 2 2
0 2 0
1 4 1
3 1 0
1 0 2
10 4
1 0 3
3 3 3
2 2 1
1 0 0
0 3 1
3 2 1
0 3 3
1 2 0
2 2 3
0 1 3
10 3
1 4 1
2 4 3
3 2 3
1 4 4
4 1 2
3 4 4
3 0 1
4 1 3
3 2 0
3 1 1
10 8
0 0 0
0 2 1
2 1 0
0 1 2
2 0 2
0 0 1
1 2 2
0 2 0
1 2 0
1 2 1
10 8
2 0 1
3 0 0
2 1 0
2 2 0
2 0 0
1 1 1
1 0 2
3 1 0
0 2 1
0 3 3
10 2
3 2 4
0 4 0
0 3 3
4 2 3
0 0 4
2 2 3
4 2 0
1 1 2
3 2 0
3 1 2
10 2
0 1 1
1 2 2
2 1 2
2 2 2
0 2 1
0 1 0
0 0 0
1 1 1
2 0 2
2 0 0
10 7
1 1 2
1 0 2
0 0 0
3 2 1
0 0 3
2 2 0
0 2 1
0 3 3
3 0 2
3 3 1
10 3
2 0 0
5 3 0
4 1 1
2 4 2
3 2 1
0 0 1
1 3 3
4 4 2
5 4 4
1 4 1
10 7
0 1 2
2 2 0
4 3 0
3 1 1
3 2 0
4 2 2
2 3 1
1 4 4
1 0 1
3 2 4
10 3
2 4 1
2 2 0
4 4 3
0 0 1
1 3 2
0 3 3
0 2 2
4 3 3
2 4 4
0 0 3
10 2
0 3 3
3 3 2
0 1 3
1 2 0
1 2 1
3 3 3
0 0 2
2 3 3
1 3 0
3 0 0
10 6
0 2 2
2 0 1
2 1 0
1 2 1
0 0 0
0 0 2
1 1 0
2 1 2
1 2 0
1 0 2
10 5
2 1 2
1 0 1
1 2 2
2 0 0
1 1 0
1 2 0
1 0 0
0 2 2
2 1 1
0 1 0
10 6
1 2 0
1 0 2
1 1 2
2 0 0
2 2 1
0 0 0
1 2 2
1 2 1
1 1 1
0 0 2
10 3
1 2 1
2 1 1
1 2 2
0 0 1
2 2 2
0 2 1
1 0 2
0 2 2
0 1 0
1 0 0
10 3
1 1 2
0 1 2
0 0 2
2 2 1
1 0 0
2 0 2
1 0 1
0 1 1
0 0 0
0 2 2
10 6
2 1 5
3 0 2
4 0 0
5 0 5
2 3 5
4 0 5
3 5 0
3 2 0
0 2 5
5 5 2
10 7
0 0 0
1 3 2
3 2 4
2 1 2
1 4 1
0 2 4
3 3 2
0 0 3
1 4 0
2 3 2
10 6
0 0 4
3 0 2
1 1 3
2 0 1
3 2 0
2 0 2
1 2 3
0 1 4
0 0 3
4 0 2
10 4
1 0 0
0 2 0
0 0 1
2 0 0
0 2 1
0 2 2
2 0 2
0 1 1
2 2 2
1 1 0
10 6
0 2 0
1 3 0
1 3 3
3 3 1
3 2 0
2 1 1
1 2 3
3 2 3
0 1 0
3 3 2
10 5
0 0 1
0 2 2
0 0 0
1 0 2
0 1 0
2 0 0
2 1 1
0 3 3
0 0 3
3 1 1
10 5
3 2 1
1 2 0
1 1 2
2 3 2
1 3 2
2 0 3
0 3 3
3 0 0
1 3 0
3 1 1
10 2
1 1 1
0 0 0
0 2 0
0 0 1
1 0 2
2 1 0
1 2 1
1 1 2
2 2 0
0 1 2
10 4
0 2 1
1 2 0
2 2 1
2 0 0
1 1 0
1 0 1
0 1 0
1 1 2
2 0 1
0 1 2
10 3
4 4 1
0 1 2
3 3 1
1 1 3
4 0 2
0 0 2
0 0 1
4 1 2
3 4 3
2 1 2
10 9
2 1 1
0 0 2
2 2 1
0 1 1
2 0 0
1 0 2
2 2 0
2 1 2
0 1 0
1 1 0
10 2
5 5 3
4 4 1
3 4 4
3 0 4
3 3 3
3 5 5
0 5 3
1 2 4
4 1 0
3 0 5
10 5
2 4 2
0 4 3
3 0 2
2 3 0
0 3 2
3 2 2
0 0 4
0 1 4
4 0 0
1 1 2
10 8
2 1 2
2 0 0
0 1 0
1 2 1
2 1 0
0 1 1
2 2 1
0 0 0
1 2 0
1 1 1
10 2
4 2 0
0 1 3
3 0 1
2 3 4
3 0 3
4 2 1
0 3 4
1 4 1
4 3 3
0 3 1
10 5
2 1 2
0 2 1
0 1 2
2 0 0
1 2 1
0 2 0
1 1 0
0 0 0
1 2 2
2 2 0
10 8
0 3 4
0 2 1
2 3 0
1 0 4
0 0 4
2 1 3
3 2 2
1 0 2
3 5 0
2 1 0
10 5
2 2 1
2 1 2
0 0 1
1 2 1
1 0 1
1 2 2
2 0 2
1 1 2
0 1 2
1 0 2
10 6
2 5 0
1 5 2
1 1 1
4 0 0
5 1 0
2 3 3
5 3 5
3 1 2
5 2 1
5 3 2
10 3
3 3 0
0 0 1
0 4 1
0 3 0
4 4 2
0 2 4
3 0 3
0 3 4
1 4 2
4 0 1
10 7
1 2 1
2 2 1
1 1 0
0 1 1
0 1 0
0 1 2
1 2 0
2 2 2
1 0 2
0 2 1
10 3
3 5 4
1 4 5
1 4 4
2 4 1
5 5 0
1 3 0
0 5 1
3 3 1
5 3 1
1 1 0
10 4
1 1 2
2 1 0
2 2 1
0 0 1
1 0 0
0 1 2
0 2 1
2 1 2
0 0 0
1 0 2
10 8
0 3 1
1 4 1
0 3 4
0 0 2
4 0 2
4 2 4
2 0 1
1 3 3
2 3 2
4 2 0
10 6
4 1 2
3 1 0
3 5 2
1 2 5
4 2 5
4 4 2
1 0 4
0 3 0
1 4 3
3 4 4
10 5
1 0 4
1 4 3
0 0 4
4 3 2
3 3 4
2 2 4
3 2 1
3 2 4
4 1 0
0 0 1
10 6
1 5 2
5 0 1
1 0 2
0 3 2
3 3 2
5 0 4
4 1 0
1 5 3
1 4 1
0 1 3
10 8
3 1 2
2 0 2
0 1 2
2 1 1
3 1 1
1 3 2
1 2 3
0 1 3
0 0 3
1 1 3
10 9
1 0 2
0 0 1
2 2 0
0 0 2
2 2 2
1 1 0
0 1 2
0 1 1
2 1 1
0 2 1
10 2
1 3 3
0 2 0
1 1 2
3 1 3
1 0 0
0 2 2
3 2 2
3 3 1
1 2 1
2 0 2
10 3
1 1 0
2 1 2
1 2 1
0 1 0
0 1 1
4 3 3
2 1 3
0 0 3
2 1 4
3 4 4
10 6
0 2 1
1 3 0
1 1 1
2 0 0
0 1 0
3 3 2
2 3 1
0 1 1
2 1 1
0 0 0
10 6
0 3 3
0 2 0
3 3 1
0 4 0
4 4 2
0 1 3
3 4 3
0 1 1
3 1 0
3 4 4
10 9
2 1 0
0 2 5
2 2 5
4 5 1
5 3 0
4 2 0
2 3 2
1 1 1
1 0 3
5 2 1
10 5
5 4 2
1 2 0
2 1 1
2 0 3
4 4 5
0 0 5
0 1 2
2 3 3
3 1 5
2 5 5
10 5
3 1 4
4 2 3
1 0 0
0 4 2
3 2 3
4 4 3
2 0 3
0 2 0
4 1 4
3 4 4
10 2
2 2 1
0 1 2
2 0 0
2 1 0
2 0 2
0 0 1
0 2 0
0 0 0
0 1 1
2 0 1
10 4
1 2 2
0 0 2
2 2 2
0 1 1
2 0 0
2 1 2
1 0 2
1 0 1
2 0 1
2 0 2
10 3
1 1 1
1 2 1
0 0 1
0 0 2
1 0 1
0 2 2
2 2 1
1 0 2
2 2 0
0 2 0
10 9
3 4 3
0 0 1
0 2 3
1 0 2
0 0 3
0 1 3
4 2 2
2 1 0
3 0 2
4 0 1
10 3
0 5 1
5 3 2
4 3 0
0 4 0
4 2 3
5 1 0
1 2 1
3 2 3
1 3 3
3 4 0
10 3
0 3 2
0 2 1
0 3 0
1 0 3
2 2 3
0 1 3
1 2 3
0 1 1
3 0 2
0 2 2
10 9
2 2 4
1 2 5
0 2 5
4 4 1
5 4 0
0 1 2
5 2 1
1 3 2
5 4 5
2 4 5
10 8
2 5 0
4 4 5
1 5 0
3 4 0
3 3 0
1 0 4
5 0 0
0 2 4
2 5 3
3 2 2
10 5
1 0 2
0 1 2
0 2 0
2 0 2
0 2 2
1 1 0
1 2 0
2 2 0
2 1 1
2 2 2
10 2
0 2 0
4 1 5
4 2 2
1 3 3
3 4 0
3 4 5
3 1 4
0 2 3
2 0 0
1 5 3
10 6
0 4 1
5 0 4
3 5 5
2 3 1
5 2 4
0 2 5
3 0 5
1 0 3
1 5 2
0 3 1
10 2
3 3 0
0 4 4
5 1 4
4 0 5
0 5 5
5 3 4
5 1 0
1 4 0
2 0 2
3 5 2
10 7
2 3 1
0 3 1
3 2 0
0 0 1
3 3 2
1 3 0
0 2 0
2 1 3
0 2 2
1 1 2
10 8
0 3 2
2 3 2
1 2 3
1 0 3
2 0 1
3 0 3
3 3 1
0 0 2
1 1 3
1 3 0
10 7
2 1 0
0 0 2
1 1 0
2 0 1
1 0 1
0 1 1
1 1 2
2 1 1
0 0 0
0 2 2
10 6
1 3 4
0 0 1
4 2 3
0 3 4
3 3 1
2 2 4
1 1 3
1 4 0
4 1 0
1 0 3
10 2
1 0 1
3 0 2
2 3 1
0 0 1
1 2 1
1 1 0
1 2 2
2 0 0
3 2 2
1 3 0
10 2
1 4 4
3 2 1
1 2 0
1 4 3
0 0 4
3 2 0
3 1 0
0 2 0
1 4 0
2 2 3
10 8
3 1 3
1 2 2
3 1 2
1 2 1
1 0 2
1 1 1
0 2 1
2 0 0
1 1 0
2 1 3
10 2
4 2 1
2 0 5
5 5 3
0 1 3
0 4 3
2 4 2
3 2 1
0 2 0
3 4 3
0 0 2
10 7
1 2 2
0 3 3
0 2 1
3 0 2
1 0 3
0 3 1
3 1 2
1 2 0
2 0 2
2 3 3
10 4
4 0 2
2 5 4
3 1 5
3 2 0
4 0 5
3 1 3
1 4 1
3 5 4
5 2 5
5 2 3
10 8
2 0 0
3 0 3
3 0 0
4 1 0
1 1 0
0 0 4
2 4 3
4 1 2
1 0 3
0 2 2
10 4
3 4 4
4 0 2
1 2 0
1 3 0
4 1 3
3 4 3
2 3 3
0 2 1
2 0 4
3 0 4
10 7
5 0 5
3 2 4
5 2 0
3 5 4
2 1 2
5 2 4
1 4 2
1 1 2
0 2 4
2 1 1
10 4
4 3 5
2 1 0
4 0 1
2 2 5
3 4 0
5 4 0
0 0 2
0 1 3
5 0 0
1 5 3
10 9
1 3 2
1 0 2
2 1 1
3 0 0
2 0 2
2 2 3
3 3 1
3 2 1
2 3 0
3 1 3
10 4
1 0 1
1 0 2
2 0 1
3 0 0
1 3 3
0 0 3
0 0 0
2 1 3
1 2 0
1 2 3
10 4
0 2 1
4 1 3
4 4 4
2 5 3
3 0 5
0 4 3
4 0 0
4 1 0
5 4 5
2 0 3
10 5
1 0 0
0 0 2
0 0 1
0 1 1
1 0 2
2 2 2
2 2 0
1 0 1
2 1 0
1 2 1
10 7
5 5 1
3 1 4
1 4 4
3 0 2
5 4 4
4 4 3
3 1 1
5 0 1
4 1 4
5 1 2
10 4
5 4 1
1 0 0
3 1 3
0 0 0
1 3 5
2 2 2
2 2 4
3 2 0
4 5 4
0 3 0
10 9
1 4 4
0 3 0
2 2 3
0 1 3
0 4 4
4 1 2
4 1 0
4 2 2
1 2 4
1 3 4
10 5
1 2 2
2 2 0
1 1 0
0 0 0
0 2 0
0 0 1
1 0 1
0 2 2
2 1 0
2 0 2
10 6
4 0 5
4 1 4
2 3 2
1 0 0
1 4 4
4 4 4
5 1 1
2 0 5
1 1 2
2 2 1
10 2
0 3 4
4 1 3
1 3 2
0 1 0
3 0 4
1 1 3
2 4 4
3 0 3
0 4 0
1 3 4
10 4
1 1 0
3 2 0
1 1 1
0 3 0
0 2 2
2 2 3
0 1 1
3 2 3
2 2 2
3 3 0
10 3
2 3 2
1 2 1
0 1 3
2 3 3
3 3 2
3 2 1
1 0 1
2 2 3
0 0 1
0 1 2
10 8
3 3 2
5 0 4
5 3 2
3 2 4
4 1 2
2 5 1
4 4 2
3 1 5
4 0 2
0 3 1
10 9
0 2 2
0 5 5
2 1 5
0 4 1
0 2 3
4 4 3
1 4 5
3 3 1
3 5 2
1 4 3
10 6
4 4 1
1 2 3
1 3 1
1 0 3
4 1 3
4 4 2
2 0 4
2 0 0
0 0 3
2 3 2
10 4
2 0 1
0 1 0
1 1 2
2 0 0
1 0 0
1 2 0
0 2 0
0 1 2
0 1 1
2 0 2
10 7
3 3 3
2 0 3
0 2 1
1 3 2
2 3 2
1 3 1
2 0 1
0 1 2
3 3 2
0 2 2
10 3
1 0 1
0 2 0
2 1 0
1 2 2
0 0 0
1 1 0
2 0 2
1 1 1
1 0 2
0 1 0
10 3
5 5 5
5 5 0
4 5 1
2 0 1
0 2 0
3 3 2
3 5 5
3 4 1
4 4 1
0 3 5
10 9
1 0 1
0 0 0
1 1 1
2 0 2
0 1 2
2 0 0
0 2 1
1 2 2
2 1 2
2 2 1
10 5
3 2 0
0 1 3
3 3 4
2 4 1
2 0 1
1 0 4
2 3 3
4 2 2
4 1 0
0 3 0
10 8
5 4 1
2 4 2
0 5 2
4 1 4
5 3 2
3 5 2
1 4 4
2 5 1
5 2 4
2 5 5
10 9
1 3 2
1 5 1
3 5 2
5 5 1
2 1 2
4 0 0
4 4 0
4 1 3
0 1 0
1 0 4
10 8
0 2 1
1 2 2
2 0 2
2 2 1
2 1 1
2 1 2
1 1 0
1 0 1
1 0 2
0 2 2
10 4
1 1 2
2 2 1
0 1 2
1 0 2
0 0 0
0 0 1
1 2 2
2 0 1
0 2 1
1 2 0
10 4
2 0 3
3 0 1
3 3 2
2 3 1
0 2 0
1 3 1
0 1 0
2 1 1
1 3 0
3 1 3
10 6
2 1 1
0 0 2
2 1 2
2 0 1
3 1 3
3 0 2
2 3 0
0 2 1
3 3 2
0 3 3
10 6
0 0 1
2 1 0
2 2 2
0 0 0
0 0 2
1 1 2
2 0 0
2 0 2
0 2 2
1 1 1
10 7
2 0 0
1 0 0
2 2 1
3 0 2
3 3 3
1 2 1
3 0 3
2 1 2
0 1 2
1 1 2
10 3
1 1 1
2 0 0
0 2 2
0 1 1
2 1 0
0 1 2
0 0 2
1 0 2
1 1 2
0 1 0
10 5
2 0 1
5 0 0
4 3 3
2 1 2
3 2 3
4 4 3
3 4 1
1 4 4
3 2 2
4 5 3
10 7
1 0 3
2 3 1
4 0 4
0 3 0
2 0 1
3 0 0
2 2 0
1 1 0
1 1 4
2 1 2
10 5
1 1 1
2 1 0
0 2 0
1 0 0
1 2 1
2 2 1
2 0 0
1 1 0
2 0 2
1 2 0
10 4
2 2 1
0 1 1
2 1 0
1 2 2
1 0 0
0 1 0
1 1 0
1 1 1
0 0 1
0 1 2
10 6
3 2 3
2 2 2
3 4 4
4 4 2
5 0 4
1 1 0
4 0 1
4 0 2
1 5 4
3 1 4
10 5
3 0 0
4 2 1
3 1 3
4 1 4
0 3 4
4 4 1
3 4 4
0 2 1
2 1 2
1 0 0
10 4
2 1 0
0 1 0
2 1 2
0 0 0
1 0 1
2 2 0
2 2 2
1 2 1
0 1 2
0 1 1
10 2
4 3 3
1 2 4
4 1 4
3 4 0
4 3 4
4 2 2
2 2 4
0 1 2
1 0 4
4 4 3
10 3
3 4 5
1 2 0
3 2 0
5 0 0
5 4 4
0 2 3
4 4 5
2 4 5
0 5 4
2 3 0
10 4
0 3 5
2 5 2
1 0 4
1 4 0
2 4 1
3 2 1
5 2 2
0 1 4
3 3 4
1 2 0
10 6
4 0 2
4 4 3
0 4 3
2 0 2
1 4 1
2 4 3
4 0 1
2 1 0
3 2 4
0 4 2
10 7
2 2 1
2 0 0
1 2 0
0 1 0
2 2 0
1 0 1
1 1 1
2 1 0
1 2 2
0 0 1
10 7
0 4 2
1 3 3
5 3 0
3 3 0
5 0 0
3 0 3
4 0 1
0 0 0
4 4 0
2 1 4
10 2
0 3 4
2 3 1
1 0 5
3 4 4
4 5 0
2 0 1
4 0 0
5 1 1
3 0 3
0 4 2
10 4
1 3 3
0 2 2
2 3 1
0 1 3
1 0 3
0 1 2
2 1 1
1 1 2
2 3 2
2 1 2
10 9
2 1 0
4 0 1
0 3 5
4 3 3
1 2 1
5 5 0
4 4 1
2 2 4
3 4 3
5 4 5
10 6
4 1 5
4 5 4
0 3 2
1 4 2
0 5 1
2 2 0
5 2 5
4 3 1
5 5 3
5 0 0
10 3
2 4 2
2 2 3
1 2 5
0 4 2
5 5 5
1 4 0
3 4 3
2 4 3
1 1 3
5 1 4
10 3
1 0 1
0 0 1
2 1 1
2 2 1
1 0 0
1 1 1
2 0 2
1 0 2
2 2 2
2 1 0
10 3
0 2 2
0 2 1
1 2 1
2 0 0
1 0 1
1 1 1
0 0 2
2 0 2
2 2 2
1 1 2
10 6
0 1 2
3 1 3
3 2 2
0 0 3
2 0 3
3 0 3
3 3 1
2 2 1
3 2 0
3 3 0
10 3
2 0 0
0 2 0
1 0 0
1 0 1
0 2 1
1 1 1
2 0 1
2 1 2
2 2 2
2 1 0
10 7
2 1 2
2 0 0
0 1 1
2 2 0
0 2 1
0 0 1
1 0 0
2 2 2
0 0 0
2 1 1
10 2
1 0 2
3 3 1
1 2 2
3 0 0
4 0 4
2 0 0
4 0 3
0 4 4
1 1 4
3 1 3
10 5
2 5 1
4 4 5
5 3 1
2 4 3
1 1 4
2 5 5
2 0 0
3 5 4
4 5 5
4 4 0
10 9
2 0 0
5 1 1
3 2 4
3 5 4
1 3 3
0 1 4
0 1 2
4 1 0
1 0 4
2 1 3
10 5
5 0 2
2 4 2
0 2 0
5 2 1
3 1 3
5 4 0
0 0 2
2 1 4
5 5 0
3 1 1
10 2
2 0 1
0 1 3
0 2 3
3 0 3
3 1 1
1 0 1
3 2 1
3 3 2
0 0 2
2 0 2
10 9
1 2 0
1 0 1
1 1 1
0 0 0
0 2 1
0 1 2
0 0 1
0 1 1
0 1 0
0 2 0
10 6
1 3 2
1 0 1
3 2 1
2 3 2
0 0 0
1 1 2
3 2 0
2 0 1
0 1 1
3 3 3
10 5
3 1 1
1 3 2
1 0 1
3 3 2
2 0 2
1 2 3
2 3 0
3 1 3
1 1 1
1 2 2
10 6
2 1 1
1 0 0
2 0 1
1 2 1
0 0 0
2 2 2
0 2 2
1 1 1
0 1 0
0 1 1
10 5
2 1 2
2 1 1
1 1 0
2 2 2
1 0 0
0 2 2
1 2 0
2 0 0
0 1 0
2 0 1
10 4
1 3 1
1 1 0
3 5 0
1 0 0
1 5 2
3 2 3
3 0 4
5 3 4
4 2 3
1 2 0
10 4
3 4 0
0 0 4
1 1 4
2 4 1
4 4 1
1 1 1
2 2 4
1 0 4
1 4 4
1 4 1
10 8
2 0 3
3 1 3
0 0 3
3 3 2
3 3 0
2 0 0
3 0 1
0 0 2
2 3 2
0 0 0
10 5
1 4 3
2 1 4
0 0 0
2 3 2
3 3 4
2 4 1
4 4 4
4 2 2
3 4 0
4 3 0
10 2
1 3 4
2 1 5
5 3 1
5 5 5
1 1 4
2 5 2
2 5 0
0 0 0
2 0 1
1 1 0
10 8
2 0 0
4 4 1
3 2 4
3 0 2
0 4 0
1 2 3
1 2 0
0 4 4
2 3 2
3 1 0
10 7
3 0 2
3 1 3
0 1 0
1 2 1
0 0 1
2 0 3
0 1 2
0 2 0
0 0 3
3 0 3
10 5
0 0 3
2 1 3
3 3 1
0 1 0
3 0 0
2 2 2
0 2 0
1 1 1
2 0 1
3 1 3
10 2
2 0 1
1 0 0
0 1 2
0 2 2
0 2 0
1 1 0
2 0 2
1 1 2
2 2 2
0 2 1
10 3
4 5 0
3 2 2
3 5 1
1 3 2
1 0 2
1 1 2
0 1 5
1 4 2
4 5 1
3 4 4
10 3
0 1 2
1 2 0
2 1 1
2 2 0
2 0 1
1 2 1
2 0 2
0 1 0
1 2 2
0 0 1
10 3
0 2 1
5 5 2
0 0 0
2 4 4
0 2 3
5 3 1
3 0 4
2 0 1
1 5 2
5 1 1
10 9
2 1 3
4 1 3
4 1 1
3 2 2
2 3 3
0 2 3
0 1 1
0 0 3
0 0 0
2 4 0
10 9
1 4 3
1 0 2
4 1 0
1 4 1
2 3 3
2 1 2
4 3 4
3 3 4
4 2 2
3 2 0
10 6
0 0 1
0 0 3
1 5 1
4 2 4
1 0 0
5 1 0
3 1 5
1 5 3
3 1 4
0 4 3
10 2
2 2 1
1 1 2
0 2 2
0 0 2
0 1 2
1 0 1
1 0 0
2 1 0
2 1 1
1 1 1
10 4
2 1 1
1 2 2
0 1 2
1 0 1
0 2 1
1 1 2
2 0 2
1 2 1
1 0 0
0 0 0
10 9
1 4 0
5 5 2
1 1 2
0 2 3
3 3 2
2 3 2
1 0 1
5 0 2
1 4 4
4 3 0
10 5
1 3 3
1 0 0
2 0 2
1 1 0
1 2 3
3 0 2
2 1 2
2 0 0
0 3 3
1 1 1
10 7
1 0 3
1 3 3
0 4 3
0 1 4
0 0 4
4 2 2
4 0 1
0 0 0
4 4 4
0 3 0
10 9
2 0 3
2 0 1
5 1 5
0 4 1
4 2 0
1 0 4
4 1 3
1 3 4
0 2 5
1 0 1
10 5
1 1 2
1 0 1
2 2 1
2 2 0
1 1 0
2 2 2
0 2 2
1 0 2
0 2 0
2 1 1
10 8
1 0 2
1 1 0
1 1 2
1 0 1
2 0 0
0 0 1
0 0 2
2 2 0
0 0 0
0 2 1
10 9
0 4 5
2 3 5
2 3 4
0 3 2
4 3 3
1 3 1
4 4 5
3 5 4
2 0 2
5 1 5
10 6
3 1 3
3 1 0
1 0 3
3 3 2
2 3 2
2 0 0
2 0 3
1 1 3
0 0 1
0 3 2
10 9
1 1 0
2 1 2
1 2 0
0 0 1
0 2 2
1 0 1
1 2 1
0 1 0
2 0 1
1 0 0
10 8
0 1 0
3 0 1
4 2 0
4 4 3
0 0 0
2 0 3
1 0 3
4 2 3
1 3 1
3 0 2
10 8
0 1 2
3 1 4
3 0 2
5 2 0
2 4 0
3 5 1
1 1 2
4 4 0
5 1 0
5 5 1
10 5
4 4 3
4 0 3
2 2 5
3 0 0
1 4 4
3 0 4
4 4 1
5 1 5
5 5 5
0 1 5
10 3
1 1 2
3 1 3
1 2 3
0 0 0
3 0 1
3 2 1
2 2 1
2 0 1
2 3 2
1 2 1
10 3
0 2 0
1 0 0
1 2 0
0 1 0
2 0 2
0 2 2
2 0 1
2 1 2
1 2 1
2 0 0
10 5
2 0 2
2 4 1
2 2 2
2 1 4
1 4 0
1 3 3
4 3 1
4 3 2
3 0 2
1 4 3
10 9
2 1 4
4 1 4
0 0 3
2 4 2
2 1 1
3 1 5
4 4 0
0 3 3
1 2 4
5 4 5
10 6
2 1 5
2 2 3
0 3 0
2 5 3
2 0 4
2 3 0
3 2 4
3 1 2
3 1 3
1 2 5
10 6
4 1 5
3 1 3
5 0 5
2 5 1
0 1 4
2 5 2
0 0 5
2 4 1
3 3 1
3 5 4
10 8
1 1 1
2 4 0
0 0 4
2 0 4
1 1 4
2 3 4
3 0 3
2 2 3
3 2 0
1 4 3
10 5
0 1 3
3 3 3
2 1 3
0 3 3
0 1 0
1 3 3
1 1 1
0 1 2
2 2 1
2 2 2
10 8
4 2 4
0 0 4
1 3 0
2 4 5
3 4 1
1 4 0
1 1 2
1 3 2
3 1 0
5 0 2
10 3
0 4 3
3 0 3
2 0 2
4 2 0
3 4 1
1 1 3
0 1 4
3 2 0
1 3 1
0 4 0
10 8
2 2 0
0 2 0
1 0 2
2 0 1
0 2 2
0 0 1
2 1 2
2 0 0
1 2 1
0 2 1
10 8
5 5 2
2 1 5
5 2 5
1 3 0
0 4 4
3 0 1
0 4 3
1 4 2
1 2 4
1 2 0
10 5
1 3 4
4 3 4
0 0 4
4 0 2
0 3 3
0 3 2
4 4 1
0 4 0
0 1 2
3 1 1
10 2
3 0 0
5 5 4
4 5 4
1 1 2
2 0 1
2 4 5
4 1 4
5 1 3
3 0 4
5 2 2
10 3
1 0 1
3 4 3
3 0 0
2 0 1
3 4 4
0 1 4
3 4 1
3 1 2
0 0 1
0 4 3
10 9
1 2 2
5 4 2
4 1 5
4 0 2
0 4 2
1 2 1
2 3 4
5 4 0
3 1 2
5 0 4
10 7
0 1 3
4 2 0
4 0 3
4 0 1
3 3 3
2 0 3
3 0 2
0 2 2
4 1 4
4 3 2
10 3
2 1 0
0 3 0
3 3 2
3 2 1
1 1 1
1 3 2
3 2 2
2 2 1
0 0 0
1 2 0
10 5
0 0 1
1 1 2
3 3 2
0 2 3
3 2 3
1 3 2
2 0 2
0 0 2
0 3 0
0 1 1
10 3
4 2 2
4 4 0
0 2 2
2 3 3
2 1 3
4 1 3
2 2 3
2 1 0
0 4 3
1 0 2
10 6
3 0 3
2 0 0
2 0 2
2 3 0
0 1 1
3 0 2
0 2 1
3 1 2
3 1 0
3 2 3
10 4
2 3 0
1 2 0
0 2 1
3 1 0
0 2 0
2 0 0
0 0 3
3 3 0
1 0 1
0 0 2
10 2
3 3 3
1 0 2
1 3 1
4 0 2
0 4 3
1 3 2
4 1 3
3 0 2
3 4 1
2 3 1
10 8
1 0 3
3 1 0
4 1 2
4 0 0
2 3 2
4 4 1
4 0 4
2 1 2
4 1 4
3 3 3
10 9
3 1 3
3 3 3
2 3 3
3 0 2
3 1 0
2 2 1
3 2 3
2 0 3
3 0 1
0 0 1
10 5
2 1 0
0 2 0
2 0 1
2 1 2
1 2 0
2 2 1
1 1 1
2 2 0
1 2 1
2 2 2
10 9
1 0 2
0 2 0
1 1 1
1 0 0
2 0 1
1 0 1
2 2 1
0 0 2
1 2 1
2 1 0
10 7
1 2 1
2 2 0
2 1 2
1 1 2
0 1 2
1 0 2
1 2 2
0 2 2
2 1 1
0 0 1
10 6
0 0 0
5 0 1
2 2 2
3 4 5
2 1 2
4 0 4
3 1 1
3 2 3
0 1 3
5 5 0
10 9
5 1 4
4 4 2
3 0 3
0 4 5
0 2 4
4 3 2
1 4 5
3 4 3
4 2 5
5 3 5
10 4
1 3 1
3 0 3
4 4 4
2 2 4
0 3 1
4 1 3
2 2 0
1 2 4
1 3 2
2 2 1
10 7
1 2 3
3 1 0
1 2 1
3 0 0
3 1 1
3 2 2
2 0 3
2 0 1
0 1 0
1 0 1
10 3
3 4 1
1 4 4
1 4 0
2 3 4
0 4 0
3 3 3
0 1 4
0 2 4
4 1 1
3 2 3
10 4
1 2 2
0 0 0
2 0 3
2 3 1
2 1 0
1 1 2
1 2 0
1 2 1
0 3 0
2 2 3
10 8
1 0 0
3 3 1
3 2 1
2 3 2
3 0 0
3 2 3
1 3 0
3 1 3
0 2 3
3 3 0
10 9
5 2 1
0 0 2
1 1 4
2 0 2
0 4 0
2 4 3
2 4 4
3 2 4
0 5 0
4 3 3
10 8
1 3 3
2 1 3
2 1 0
1 2 2
0 3 0
1 0 0
3 3 3
3 3 1
2 3 2
0 2 2
10 3
3 0 1
3 3 0
0 1 4
4 1 1
2 2 0
1 0 4
4 3 0
4 0 2
2 1 3
0 0 1
10 8
3 0 2
3 1 3
1 0 1
2 2 1
2 3 2
3 3 1
0 3 0
1 1 1
1 2 2
0 3 3
10 4
4 3 4
1 4 5
1 4 0
5 0 0
0 4 0
4 5 2
0 0 5
1 0 3
3 5 4
1 2 4
10 5
4 0 0
3 2 3
0 4 4
1 2 2
4 2 4
4 5 0
2 5 1
2 1 1
1 5 5
2 5 3
10 2
2 0 3
2 1 2
3 2 1
0 0 3
3 1 0
0 2 2
0 3 2
0 2 3
1 1 0
1 3 2
10 7
1 1 0
1 0 2
0 1 1
0 2 0
2 1 2
2 1 0
0 0 0
2 0 0
1 2 2
0 0 1
10 2
0 2 1
1 2 1
0 0 2
1 2 0
0 2 2
0 0 0
0 2 0
2 0 1
2 2 1
1 1 0
10 2
1 2 2
0 1 1
1 0 2
1 2 0
0 2 0
1 0 1
2 2 2
2 2 0
1 1 0
1 0 0
10 2
1 2 2
2 2 2
0 0 2
1 0 1
1 2 0
1 0 0
2 2 1
2 0 2
0 1 2
0 2 2
10 7
2 0 0
0 0 3
4 3 3
1 3 2
3 2 3
2 4 4
3 4 2
2 0 1
2 3 4
1 4 2
10 8
3 3 2
1 1 3
4 1 2
3 3 1
4 0 0
1 0 0
0 2 2
3 0 3
3 2 0
3 4 4
10 9
1 2 0
0 2 1
2 0 0
1 0 2
1 2 2
2 1 1
0 1 0
0 1 2
2 0 2
0 1 1
10 8
3 2 1
1 3 3
3 3 0
4 1 2
1 3 4
1 5 2
0 0 0
4 2 4
2 3 2
3 0 5
10 8
2 2 1
4 1 3
1 1 0
1 3 4
3 4 0
0 4 0
4 3 4
1 2 1
1 4 1
4 0 1
10 9
1 4 0
2 1 4
4 0 3
0 1 1
4 3 2
0 1 0
4 1 3
1 1 4
2 4 1
1 3 3
10 8
1 0 3
3 3 4
4 3 4
4 1 1
2 4 0
3 1 4
2 1 3
0 2 1
1 4 3
4 0 4
10 5
3 2 3
2 0 1
2 2 2
1 3 0
2 1 2
0 1 2
1 2 3
3 3 2
3 3 1
0 0 1
10 3
5 0 4
3 0 4
0 4 0
0 1 2
1 2 2
2 2 5
3 3 1
3 5 2
1 5 2
4 5 5
10 7
1 0 0
5 3 5
0 1 4
0 0 5
3 1 2
1 4 2
5 3 4
4 3 5
2 0 0
0 1 3
10 4
4 4 1
0 3 3
1 2 2
3 4 3
1 1 1
4 1 4
0 2 2
1 2 3
1 0 3
2 0 1
10 4
1 3 2
3 1 3
1 2 3
0 1 1
3 2 2
1 0 0
2 3 0
0 0 1
2 1 0
1 3 1
10 7
0 5 3
1 5 2
4 3 1
3 4 5
1 1 4
1 1 1
2 0 0
4 0 3
4 1 3
0 4 4
10 3
3 3 2
2 2 3
2 4 2
0 1 2
3 4 1
4 4 3
4 2 0
4 0 4
1 2 0
0 0 3
10 6
0 3 0
3 0 0
3 3 2
3 2 2
2 0 2
1 0 0
3 1 0
3 3 3
3 3 0
1 1 3
10 3
3 4 3
4 0 3
0 4 5
2 4 3
3 3 4
4 5 2
2 0 4
0 5 3
4 4 3
0 4 1
10 3
0 0 1
0 2 2
0 2 0
2 3 3
0 2 1
1 0 3
3 0 2
3 3 3
3 1 2
1 2 3
10 3
2 1 2
0 0 0
1 2 2
3 3 1
2 0 0
1 1 3
2 0 3
0 0 2
0 2 3
1 3 2
10 6
3 4 3
4 3 1
4 1 0
1 2 0
1 3 0
2 1 3
4 4 4
1 0 0
0 4 4
1 2 2
10 4
1 1 0
2 0 0
1 2 1
0 0 2
1 0 0
1 0 1
2 2 2
0 2 0
2 0 1
2 0 2
10 9
0 4 0
4 1 1
3 3 1
3 0 0
0 0 2
4 2 0
0 2 4
4 1 0
0 4 1
3 2 2
10 6
2 0 3
1 1 0
2 2 3
1 0 0
1 3 0
3 2 3
2 2 0
0 3 2
3 3 0
2 0 1
10 2
3 2 1
2 3 1
1 1 0
3 1 3
1 1 2
2 1 0
1 3 3
3 1 2
1 3 2
2 3 2
10 5
2 0 1
2 0 2
0 1 0
0 0 1
2 1 2
1 0 2
1 1 0
0 0 0
2 0 0
1 0 0
10 8
3 4 1
3 4 0
3 1 5
1 4 1
3 5 2
3 2 3
4 0 3
3 4 2
5 5 1
1 2 4
10 6
3 2 4
1 0 1
2 3 0
1 3 1
4 2 2
0 1 1
2 3 4
0 2 1
4 1 2
4 3 0
10 8
3 1 2
2 1 2
3 0 0
1 0 2
0 1 1
2 0 3
1 2 1
3 1 0
3 2 2
3 2 1
10 7
2 3 1
2 3 0
2 1 2
3 0 0
0 0 0
3 1 3
3 0 3
1 1 3
0 3 2
3 0 2
10 9
0 2 5
4 4 1
2 4 2
1 1 5
1 0 1
4 2 3
5 5 3
4 1 1
3 1 2
1 1 0
10 2
4 2 4
0 3 4
1 3 0
2 0 3
1 1 3
1 4 1
2 0 2
4 0 4
1 1 2
1 2 3
10 6
0 2 2
3 1 2
0 2 1
0 0 2
2 0 0
2 1 1
1 1 2
3 3 1
2 3 1
1 0 2
10 2
2 3 1
2 2 2
3 2 3
1 1 2
2 3 0
2 3 3
3 3 2
2 0 1
0 3 1
2 0 3
10 4
0 1 1
0 1 2
2 1 0
2 2 0
2 2 1
0 0 0
0 2 2
2 1 2
0 0 2
0 0 1
10 4
3 5 3
0 1 1
1 0 2
3 2 3
2 3 5
2 4 3
5 0 1
3 2 5
5 0 0
5 2 5
10 7
2 0 1
0 2 2
2 2 2
0 1 1
1 2 0
1 1 1
2 2 1
0 1 0
2 0 0
2 2 0
10 8
1 3 0
1 1 0
0 0 2
0 3 3
0 2 2
3 0 2
2 0 0
3 3 1
3 3 2
2 1 0
10 4
0 2 3
1 3 2
3 0 1
2 4 1
4 2 2
1 0 1
0 3 0
2 3 4
3 0 3
3 1 1
10 4
2 2 2
0 2 4
3 5 2
5 5 2
3 3 2
5 2 5
3 0 2
1 5 1
0 4 1
3 0 1
10 7
1 0 1
0 0 1
2 2 1
2 2 2
1 2 2
0 2 1
2 1 2
1 0 2
2 1 0
1 0 0
10 8
2 1 2
1 2 3
1 2 1
0 1 2
2 2 0
3 3 1
3 0 3
2 1 3
2 2 2
0 2 0
10 9
4 1 0
2 2 1
4 3 4
1 4 0
2 2 2
3 0 2
2 2 4
4 2 2
2 0 3
3 0 0
10 7
2 4 4
3 0 1
5 3 1
3 1 2
4 4 1
1 0 1
5 1 3
0 0 3
1 4 4
5 1 2
10 5
3 2 2
1 0 3
3 0 2
2 1 1
0 1 2
3 3 1
3 3 3
1 1 1
0 2 3
1 3 3
10 6
1 4 2
1 2 1
1 1 0
0 3 2
2 3 1
4 0 1
3 3 4
2 1 3
3 4 2
1 1 1
10 9
0 1 3
1 0 3
3 3 3
2 0 0
1 2 2
2 1 0
0 2 3
3 2 3
2 1 2
1 2 0
10 9
3 3 0
2 2 0
3 0 0
3 2 3
3 1 3
1 0 3
1 3 3
2 1 1
0 3 2
2 0 2
10 2
4 4 0
1 3 2
2 1 4
2 3 1
2 4 2
1 4 4
4 2 0
1 0 4
1 2 0
0 3 4
10 4
1 1 0
4 5 3
3 3 4
1 0 3
2 4 2
4 5 0
0 2 4
4 1 0
4 0 4
4 0 2
10 7
2 4 4
0 0 2
4 2 3
0 2 1
1 3 0
3 4 0
1 5 4
4 1 4
5 1 0
3 2 5
10 4
0 2 0
5 1 1
2 3 0
4 0 4
5 2 2
5 3 4
3 3 0
3 3 2
4 0 1
2 4 5
10 7
0 2 1
2 0 0
3 2 2
3 2 1
3 2 0
3 1 3
1 2 3
3 3 1
2 2 1
3 0 3
10 6
3 3 2
3 4 1
1 4 0
1 0 1
0 1 1
0 2 0
2 3 4
1 2 1
2 2 3
1 1 0
10 2
0 2 0
4 0 0
4 4 0
1 1 2
3 0 3
0 1 2
2 0 0
3 0 0
4 3 2
4 4 2
10 8
1 0 1
2 2 3
0 0 4
2 1 4
4 2 4
4 2 1
1 3 2
3 1 1
0 3 0
1 0 2
10 8
3 3 0
2 2 4
1 1 4
0 3 4
4 3 2
1 3 4
3 1 0
2 1 2
0 1 3
2 0 2
10 5
3 1 0
2 2 1
3 0 0
0 0 1
4 4 2
2 3 0
3 0 4
0 3 2
2 3 1
4 1 1
10 9
4 2 5
3 3 2
0 2 1
2 0 5
2 4 2
2 0 3
3 3 1
2 2 1
4 1 3
4 5 1
10 9
0 2 3
3 2 1
0 4 0
1 4 3
2 4 1
2 4 3
3 3 2
2 4 4
0 4 1
4 0 3
10 7
4 2 1
5 0 5
2 2 3
1 0 2
0 3 1
1 5 5
4 0 1
3 0 4
3 1 5
4 1 1
10 8
2 2 2
1 1 0
0 1 2
2 0 1
0 0 2
2 0 0
1 0 1
0 0 0
2 0 2
1 1 2
10 5
3 3 4
3 3 1
1 1 1
2 3 3
0 5 0
3 0 2
0 4 3
5 0 3
1 3 3
2 2 0
10 9
0 2 4
1 2 4
4 3 2
2 0 1
1 5 0
3 3 4
5 5 1
5 3 2
1 5 3
0 2 5
10 3
1 3 4
4 3 1
3 3 0
2 2 1
1 1 2
1 2 1
2 2 4
3 0 3
1 3 3
0 4 2
10 3
1 0 2
1 2 2
3 3 0
0 2 0
2 0 0
3 3 2
3 3 3
3 0 2
1 3 3
3 1 2
10 8
1 1 2
0 3 2
2 0 0
2 3 1
0 2 0
1 0 3
3 3 1
0 3 0
1 2 0
3 1 1
10 2
0 5 4
4 3 5
4 5 4
5 0 3
3 4 4
0 3 4
4 0 3
5 5 3
1 5 3
3 5 5
10 3
0 0 1
2 1 2
0 2 2
0 0 0
1 1 2
1 0 2
2 2 0
2 1 1
0 2 0
2 2 1
10 5
3 3 2
0 2 0
3 3 0
3 2 3
2 3 3
0 3 1
0 3 3
0 1 1
1 0 3
2 1 3
10 5
3 0 3
0 3 0
1 0 1
1 0 0
2 2 1
1 3 0
4 4 4
2 4 3
0 4 4
1 4 0
10 9
1 4 0
1 4 4
2 4 4
1 1 3
0 2 2
2 1 1
0 3 3
4 4 2
0 2 3
4 1 2
10 5
0 0 3
1 2 4
0 2 1
1 1 5
5 1 5
0 0 4
3 3 2
1 5 1
2 1 5
2 3 2
10 2
0 0 1
3 2 5
3 2 0
2 0 1
3 1 3
5 5 3
0 5 2
0 1 1
1 1 1
4 4 2
10 3
5 4 0
4 4 1
1 5 5
1 2 1
3 4 4
0 0 2
4 0 1
2 1 3
4 2 4
5 1 0
10 2
1 1 2
1 1 1
0 2 2
1 1 0
2 2 1
0 0 1
2 1 0
2 0 2
1 0 2
0 1 2
10 5
2 2 1
2 3 2
2 3 3
1 0 3
3 2 3
1 3 3
3 2 1
0 1 2
3 3 2
2 1 0
10 5
3 3 3
0 1 0
0 2 0
2 2 1
2 1 0
1 1 1
0 0 2
3 1 1
2 3 3
2 0 2
10 3
3 1 2
0 3 0
3 0 2
1 0 0
0 1 3
2 3 2
2 2 3
3 3 1
2 1 2
1 3 0
10 4
3 0 2
0 1 2
2 3 1
0 2 2
2 0 0
2 2 3
1 3 0
1 1 3
2 1 0
0 2 0
10 8
1 0 2
0 1 0
1 2 1
2 2 0
0 0 2
1 2 0
0 1 2
0 0 0
2 1 0
1 1 2
10 2
1 2 1
2 0 0
2 3 1
2 2 2
0 0 2
3 2 3
1 0 2
3 0 1
2 2 1
1 1 3
10 9
4 1 0
0 0 3
1 1 0
3 2 0
2 0 4
1 3 2
0 3 4
4 4 2
2 4 2
3 1 1
10 7
2 0 2
2 3 3
0 2 2
3 0 3
2 1 0
3 2 0
3 1 1
2 3 0
1 0 0
3 3 2
10 9
0 1 3
0 4 1
2 2 4
4 2 3
2 1 3
3 1 0
0 2 2
0 4 3
2 1 0
3 3 3
10 7
3 2 2
0 2 1
3 3 2
2 1 3
3 3 0
0 0 2
0 0 3
1 2 1
0 3 2
0 3 1
10 6
2 3 4
1 0 3
2 2 0
2 4 2
1 1 1
3 1 2
3 0 0
3 1 3
0 4 0
2 2 2
10 9
0 0 2
0 4 2
3 1 1
4 3 1
3 0 0
4 1 1
3 4 4
0 0 4
4 2 3
1 0 3
10 8
2 0 0
2 1 1
1 0 2
0 2 1
2 2 2
1 1 2
0 1 1
2 1 2
1 1 0
0 1 2
10 3
2 1 0
2 0 0
0 0 2
2 1 2
0 0 0
2 0 2
0 1 0
1 1 1
1 0 2
1 1 2
10 7
3 1 2
0 3 1
0 2 1
0 3 3
1 3 2
0 0 2
1 1 3
0 3 2
3 0 2
2 3 3
10 9
2 2 3
1 5 3
0 1 4
3 5 5
0 1 5
1 2 1
0 2 1
5 1 1
1 2 2
5 5 1
10 6
4 5 4
5 0 2
5 3 5
5 2 0
0 3 0
1 3 2
5 4 1
1 3 4
4 2 1
5 1 1
10 8
2 2 3
0 1 2
0 0 3
0 3 4
5 3 5
1 1 5
2 5 3
2 0 3
0 5 5
4 1 5
10 4
2 0 2
1 1 1
0 0 2
2 2 2
2 0 1
1 1 2
0 0 0
1 0 1
0 1 0
0 1 1
10 9
2 4 0
1 4 4
5 0 1
0 4 4
3 5 5
2 2 0
0 1 0
5 4 2
3 2 5
3 3 0
10 6
1 1 2
0 2 1
0 2 2
2 1 0
1 2 2
0 0 0
2 0 2
0 1 2
1 0 1
2 2 0
10 8
0 0 5
4 5 2
2 1 0
1 2 1
1 4 3
3 3 3
0 2 2
2 1 2
3 5 2
1 1 0
10 8
2 3 2
0 1 1
1 0 2
0 3 1
0 0 0
3 3 0
3 2 1
0 3 3
1 1 2
3 0 2
10 5
2 0 2
2 2 3
1 1 0
0 2 3
2 1 0
2 1 3
3 3 2
3 2 3
0 1 1
1 3 0
10 7
2 0 1
1 0 1
2 1 2
0 2 0
1 2 1
0 0 1
0 2 1
0 1 2
2 2 2
1 2 2
10 2
4 3 2
0 5 2
2 1 4
4 2 1
4 0 2
0 3 3
2 2 5
1 2 3
5 0 3
5 1 5
10 3
2 1 2
1 0 1
0 1 0
2 0 0
0 2 1
1 1 1
1 2 0
2 1 0
1 1 2
0 0 2
10 2
2 2 3
0 4 4
2 5 5
1 0 2
1 1 0
4 2 3
4 2 2
1 4 4
1 0 4
5 5 3
10 7
1 0 2
2 0 1
0 0 0
1 2 1
1 2 2
1 0 0
2 0 2
0 0 1
1 1 2
1 0 1
10 2
0 0 2
2 2 0
1 0 0
2 0 2
1 1 2
1 2 1
0 2 2
2 1 1
0 1 2
0 1 1
10 8
2 1 1
1 2 3
2 2 1
1 1 0
1 3 3
3 2 2
1 2 1
3 2 3
0 1 2
3 1 3
10 7
1 2 1
4 3 3
3 3 0
3 4 1
1 1 2
3 4 0
1 3 3
0 4 3
2 1 0
0 1 3
10 7
0 1 3
4 1 3
1 4 1
1 4 2
2 0 2
3 1 0
0 4 1
1 4 0
3 3 3
2 1 3
10 9
3 0 2
3 1 2
4 2 0
0 3 2
2 1 0
2 3 4
1 5 4
2 3 0
0 5 5
1 3 5
10 6
2 0 2
0 3 3
2 0 3
2 2 1
1 0 0
0 2 0
0 1 3
1 2 2
3 0 1
3 1 2
10 8
1 3 5
1 0 3
0 0 3
3 1 0
1 5 3
0 0 5
2 1 3
2 5 4
2 0 4
4 0 1
10 9
1 1 2
1 0 1
0 0 1
1 1 1
2 2 0
0 2 0
0 0 2
0 1 1
2 1 0
1 2 0
10 9
1 1 1
1 0 3
0 2 0
2 3 1
3 1 0
1 0 1
1 3 0
1 0 2
0 0 2
3 3 3
10 6
0 3 3
2 2 1
0 1 0
1 1 0
0 0 3
3 2 0
3 1 0
2 0 3
4 2 3
3 4 0
10 7
0 0 0
2 0 0
0 1 0
0 0 1
1 2 2
0 1 2
2 1 1
0 2 0
0 2 1
1 2 1
10 9
3 4 4
5 2 5
3 5 1
5 2 0
2 4 3
0 4 5
2 2 3
1 5 5
1 1 4
5 3 0
10 2
3 4 2
3 4 4
3 0 4
2 5 5
0 1 2
5 4 3
3 0 5
4 4 2
1 4 0
1 2 3
10 8
4 2 0
0 2 4
0 0 0
2 2 4
4 3 4
3 4 1
4 0 1
0 3 4
1 0 4
0 1 1
10 9
2 2 2
2 2 0
2 1 0
1 1 1
2 0 2
0 1 1
0 0 1
0 1 0
0 2 2
1 0 0
10 3
3 4 2
4 0 1
4 2 2
0 2 2
2 1 1
0 4 3
0 3 0
3 1 1
3 3 3
5 2 3
10 4
2 0 1
1 0 3
1 1 1
2 0 3
2 3 1
0 2 3
2 1 3
2 2 3
2 3 2
1 2 2
10 5
1 0 4
2 1 3
4 1 4
2 3 2
2 2 3
2 1 4
1 3 0
0 4 4
1 1 4
3 0 3
10 3
4 2 1
3 1 2
2 5 4
3 0 0
5 3 2
4 1 2
1 1 5
4 2 2
2 3 5
2 0 3
10 2
1 0 0
0 0 0
2 0 1
1 0 1
0 2 2
0 1 2
0 0 2
0 2 1
1 2 1
1 2 2
10 2
1 1 1
0 2 3
2 1 2
2 2 2
2 1 0
0 0 0
1 1 3
1 3 3
2 2 0
0 1 3
10 4
2 2 1
2 1 2
2 0 2
0 2 0
0 1 0
1 1 2
1 2 0
1 2 1
1 0 2
0 2 1
10 4
2 1 0
1 1 2
2 1 1
0 2 1
1 0 0
1 1 0
2 0 1
0 1 1
0 0 1
0 2 2
10 4
3 2 0
1 3 1
2 0 3
0 1 1
1 2 1
1 3 2
1 0 0
1 1 2
2 2 1
1 0 3
10 8
0 0 1
4 4 3
2 4 4
1 0 4
3 3 1
3 0 3
4 1 4
0 0 0
2 1 0
1 3 0
10 6
0 2 0
1 0 4
1 0 2
1 3 0
0 2 4
0 0 0
1 3 1
0 1 0
3 3 0
1 0 0
10 2
0 1 2
0 3 0
0 2 2
2 2 0
2 2 2
1 0 0
1 2 1
0 1 1
2 1 0
2 1 2
10 4
4 5 3
4 3 3
2 1 0
2 3 1
5 5 1
3 3 4
2 2 0
2 2 3
2 3 2
5 5 2
10 2
0 1 0
1 0 1
1 1 1
2 0 2
2 1 1
1 2 1
2 1 2
2 2 2
1 2 2
1 1 2
10 9
3 3 3
2 3 3
2 4 0
0 1 3
1 0 0
1 2 2
0 1 4
3 4 3
3 4 0
1 0 1
10 7
1 1 0
2 1 1
1 0 1
2 0 1
1 1 2
2 1 2
0 1 1
2 2 0
0 2 0
0 1 2
10 5
1 2 0
0 0 1
1 0 0
0 1 1
0 1 2
2 2 0
2 1 1
2 0 2
0 0 2
0 1 0
10 9
1 3 0
1 0 1
2 3 1
0 2 2
2 1 0
0 2 3
0 3 1
2 0 2
2 3 2
3 2 1
10 5
1 4 4
4 4 2
2 4 2
1 0 1
0 0 4
0 0 1
1 4 1
1 0 4
3 3 0
4 0 3
10 7
0 0 2
0 2 1
0 2 0
2 1 1
0 1 0
1 1 2
2 2 0
1 0 2
1 2 1
0 1 1
10 2
0 0 2
2 3 0
3 3 3
2 2 1
0 3 1
2 3 2
1 0 1
1 1 2
1 3 3
3 2 1
10 2
0 0 0
2 2 2
1 0 1
2 0 2
0 2 2
1 1 1
0 2 0
1 1 2
2 0 0
0 1 0
10 7
2 1 1
1 0 1
0 1 2
0 0 1
0 4 2
4 1 3
4 2 3
1 2 1
3 4 2
1 3 4
10 7
2 1 0
0 0 2
0 0 1
2 2 0
2 3 3
1 2 2
0 2 1
2 2 2
0 1 1
2 0 3
10 5
1 2 3
2 2 1
0 2 0
1 1 1
3 1 2
1 2 1
4 1 0
4 3 4
1 2 4
1 4 0
10 5
5 2 0
1 2 3
4 3 4
5 4 5
1 4 1
4 3 5
0 1 1
0 5 2
3 0 5
1 3 2
10 5
3 1 2
0 3 0
3 0 1
2 3 2
4 2 4
1 4 2
3 4 2
3 2 4
0 4 2
4 0 4
10 2
0 0 1
1 0 0
0 2 0
2 2 2
2 2 1
0 0 2
0 1 2
0 0 0
0 2 2
2 0 0
10 2
1 0 2
0 2 1
1 0 0
2 1 2
0 0 0
0 0 1
1 0 1
0 1 0
1 1 0
2 1 1
10 6
0 2 1
2 2 1
2 2 2
2 1 2
0 0 0
1 0 1
1 2 1
0 2 2
1 0 2
1 1 2
10 5
2 3 3
0 1 2
4 0 1
3 0 2
2 3 0
1 2 3
5 2 0
0 1 0
1 2 4
1 4 1
10 9
2 1 1
1 1 2
0 0 1
0 0 2
0 0 0
1 2 2
0 2 0
0 2 1
1 2 1
2 2 2
10 3
1 1 2
3 0 3
0 1 3
0 0 0
1 0 1
3 1 3
2 3 3
2 2 1
0 1 0
2 2 2
10 2
2 0 1
1 2 0
1 0 2
0 1 0
0 0 1
0 2 2
1 0 0
2 2 2
2 2 0
1 1 1
10 5
1 2 1
2 2 1
1 2 2
1 2 0
2 0 0
2 0 2
0 2 1
0 0 2
1 1 1
0 2 0
10 7
3 0 2
1 0 3
0 0 2
3 2 1
1 2 0
3 2 0
0 2 1
2 1 2
0 3 3
3 3 0
10 2
3 2 0
2 2 4
4 0 1
4 3 2
1 1 3
4 2 0
4 4 0
2 2 1
3 1 2
4 1 4
10 3
0 0 2
2 3 0
3 1 2
1 1 3
1 2 1
0 1 2
2 3 1
3 3 0
0 2 2
0 3 0
10 8
2 0 0
1 1 1
1 0 1
1 0 2
2 1 2
1 0 0
2 0 2
0 1 2
1 1 2
1 2 0
10 6
0 5 3
3 2 2
2 4 4
0 2 4
2 0 4
5 0 2
2 1 3
2 4 1
0 5 5
4 3 4
10 2
3 0 1
1 0 1
2 3 1
0 1 3
0 0 0
3 0 0
1 3 2
0 1 1
1 1 3
3 4 0
10 8
0 3 3
2 3 2
1 3 3
1 1 0
1 0 0
3 2 1
0 3 1
3 1 3
1 2 1
1 2 0
10 2
1 2 3
0 1 3
1 3 0
3 0 2
0 1 1
2 3 3
0 0 1
3 1 0
1 1 2
3 1 2
10 8
3 2 0
1 4 0
1 0 1
0 3 0
0 4 1
2 4 2
4 0 0
0 0 3
1 2 2
1 1 1
10 8
2 1 0
3 0 3
1 0 2
2 0 2
0 3 3
0 2 0
2 0 1
2 3 3
3 3 0
3 3 1
10 7
2 2 3
5 4 4
4 0 3
4 5 1
2 1 5
4 4 4
5 0 5
5 4 2
3 2 2
2 5 0
10 4
0 2 0
0 3 2
1 2 3
0 0 1
3 1 0
1 0 1
3 2 3
3 3 3
2 3 3
1 3 1
10 6
3 3 0
2 2 1
4 3 4
0 3 2
1 0 0
3 4 2
3 2 2
0 3 4
4 3 3
2 3 1
10 6
3 0 3
4 3 4
1 3 1
3 4 0
3 1 1
1 0 2
1 0 3
2 1 1
2 4 2
0 3 2
10 9
3 1 3
0 0 1
1 3 1
3 0 3
1 1 0
3 2 0
1 0 1
1 1 2
2 2 1
0 1 2
10 7
2 1 0
3 1 0
1 0 2
1 1 3
2 2 3
1 0 3
0 2 2
2 2 2
0 1 0
1 2 1
10 6
1 5 3
4 2 3
5 3 3
3 3 1
3 1 4
1 0 5
3 0 1
0 0 5
5 1 4
0 1 5
10 7
4 2 3
1 1 1
4 3 0
2 4 3
1 3 4
0 2 2
4 0 2
1 1 4
4 3 3
0 3 2
10 7
4 0 0
1 3 0
4 1 1
0 5 3
5 1 4
4 4 3
2 4 3
4 3 0
2 1 3
2 1 0
10 7
3 3 0
2 3 0
3 2 0
2 2 1
0 2 2
1 2 1
3 2 1
0 2 1
2 1 1
2 0 0
10 2
2 0 4
2 1 5
1 1 0
3 3 3
0 1 1
2 5 1
2 5 3
4 4 1
4 4 4
0 2 4
10 3
2 0 3
1 0 2
0 2 2
2 0 2
0 0 2
2 3 2
0 1 0
2 2 3
0 1 2
1 3 1
10 5
1 1 4
3 0 4
1 0 3
5 5 5
4 4 2
1 4 1
0 3 4
1 5 4
2 3 2
1 4 2
10 2
2 0 0
1 1 1
1 2 2
1 0 2
1 0 1
0 1 0
2 2 0
2 1 2
2 0 2
0 1 2
10 7
3 3 2
5 1 4
4 4 3
3 4 3
3 5 0
5 0 0
0 4 2
4 5 0
1 5 4
2 5 3
10 5
1 2 2
2 0 3
5 4 4
2 0 0
1 1 0
0 0 5
0 1 5
2 3 5
3 0 0
5 4 5
10 6
2 2 1
2 1 2
1 2 1
1 0 0
1 0 2
0 1 1
0 2 0
0 2 2
1 1 0
2 1 1
10 4
3 0 1
0 3 3
1 2 3
0 0 2
0 4 0
2 2 1
4 4 1
0 1 2
1 1 1
1 2 1
10 5
1 0 2
0 1 2
2 0 1
2 1 1
1 0 1
0 2 0
2 2 0
0 0 2
0 1 0
1 1 2
10 8
0 0 1
0 2 1
0 2 2
0 1 1
0 2 0
1 0 2
2 2 1
2 2 0
2 0 2
1 1 0
10 4
4 5 1
2 4 2
0 2 3
3 5 4
0 4 5
0 5 0
1 0 3
1 5 3
5 5 5
2 1 2
10 6
4 2 5
3 3 4
2 1 4
0 3 0
5 5 2
1 4 5
2 5 0
5 2 2
0 3 4
2 4 2
10 6
2 5 2
4 4 4
4 1 2
1 2 4
5 0 1
2 5 5
1 5 2
5 3 3
4 4 3
1 3 0
10 6
1 0 2
2 1 3
2 3 2
3 2 2
0 3 3
2 1 1
1 3 2
2 0 1
3 1 2
0 0 1
10 3
1 2 1
0 2 2
2 1 0
0 2 0
2 1 1
1 0 0
2 0 2
2 0 0
1 1 0
1 2 0
10 2
2 1 1
1 2 1
2 1 0
2 2 0
0 0 1
1 1 1
1 0 0
0 2 2
0 2 0
2 0 0
10 6
1 0 1
2 1 1
3 1 0
1 0 2
2 1 2
1 2 2
0 2 2
2 2 0
1 1 1
2 0 2
10 6
1 3 4
3 2 5
5 2 1
2 0 5
4 0 1
5 3 3
1 4 0
1 5 5
5 2 2
4 2 4
10 3
3 3 1
3 0 1
0 3 3
0 0 2
3 0 2
2 3 2
0 2 3
2 3 3
0 1 0
2 1 1
10 3
1 1 3
0 0 3
3 1 0
3 3 1
1 0 0
3 3 3
1 0 3
1 1 0
2 1 1
2 2 0
10 4
4 3 2
1 1 2
4 4 4
3 4 0
1 0 4
3 0 1
2 1 0
1 4 1
2 4 1
0 2 0
10 5
2 0 2
0 2 0
2 2 2
1 2 1
0 0 2
2 1 0
0 0 0
2 0 1
2 2 1
1 0 1
10 3
3 3 1
0 2 3
2 2 3
2 2 2
3 0 3
0 1 3
0 0 0
0 1 2
1 3 3
0 1 1
10 4
2 0 0
0 1 0
0 0 0
2 2 0
0 1 1
0 0 2
0 2 1
2 1 1
1 1 2
2 0 1
10 9
4 4 2
4 3 3
3 0 2
1 2 1
4 0 1
2 4 1
1 0 2
0 0 0
4 2 3
1 1 2
10 8
0 0 1
2 2 1
3 0 2
2 1 1
2 2 2
2 3 2
3 1 1
3 0 3
2 0 1
3 0 1
10 6
1 1 0
2 1 0
1 1 2
1 2 2
1 0 2
1 1 1
1 2 1
1 2 0
0 1 0
0 1 1
10 8
1 0 1
0 1 3
2 2 1
0 3 3
2 2 3
2 0 1
0 1 2
3 0 2
2 3 3
2 2 2
10 7
4 3 3
2 2 1
0 4 3
4 1 4
2 4 3
3 3 3
4 3 1
0 0 0
4 3 0
2 3 3
10 2
3 3 2
2 0 1
2 0 2
0 1 0
3 3 3
1 1 0
1 0 1
2 3 2
2 3 3
3 1 1
10 2
0 3 1
4 0 1
4 3 4
0 0 3
0 0 4
0 2 1
4 4 0
3 0 0
2 1 0
1 0 1
10 8
4 1 3
5 5 0
4 2 0
4 3 1
1 1 3
2 2 2
2 3 1
5 3 0
4 1 0
2 4 5
10 9
2 2 4
1 2 4
0 1 3
1 1 3
1 3 0
2 2 3
1 2 3
0 1 2
2 0 1
4 3 2
10 9
0 5 5
2 1 5
3 5 1
0 0 5
3 2 1
5 1 2
5 0 3
3 0 5
4 5 5
0 0 1
10 5
2 4 0
3 0 3
0 4 2
3 0 0
3 4 4
3 0 1
1 3 4
2 0 0
1 1 4
0 0 3
10 6
2 1 0
2 2 2
2 3 0
3 0 1
1 0 2
0 2 1
1 1 0
2 0 2
1 2 2
3 3 2
10 6
3 3 2
2 3 1
0 1 1
1 1 4
0 3 1
3 2 3
2 1 3
4 4 4
4 2 2
0 4 3
10 4
5 2 1
2 5 3
1 0 1
2 3 1
1 1 0
5 4 3
3 3 0
2 3 3
0 5 4
0 4 3
10 8
4 1 5
2 0 4
3 2 4
4 5 3
0 0 4
1 2 3
4 2 5
5 4 3
5 5 4
1 5 3
10 2
2 4 1
3 3 3
3 0 4
4 2 4
1 4 1
2 4 2
0 0 2
3 2 4
0 1 2
4 4 4
10 7
1 0 1
2 2 1
2 2 2
0 0 1
1 0 2
2 1 2
1 2 0
0 1 2
0 0 0
0 2 1
10 4
3 4 1
1 3 3
4 5 4
0 2 4
1 4 0
5 1 1
4 1 3
0 1 1
5 1 3
4 2 1
10 8
0 2 2
4 1 0
1 1 4
2 2 4
4 1 3
1 1 0
0 2 4
1 4 3
2 3 0
1 4 0
10 3
1 3 2
1 3 1
3 3 1
3 0 2
0 0 2
0 1 0
3 0 0
0 0 0
0 0 1
2 0 1
10 9
1 0 1
0 1 0
1 1 0
0 1 1
2 1 1
1 0 0
1 1 1
2 0 2
1 2 1
1 2 0
10 2
3 2 4
0 0 3
3 2 0
3 0 1
4 0 4
0 2 1
0 3 4
2 2 1
4 4 4
2 3 2
10 3
2 1 1
3 0 2
0 0 2
1 2 1
1 2 2
2 0 1
3 0 0
3 3 0
0 3 1
1 2 3
10 2
4 4 5
4 1 5
2 2 1
0 4 3
0 0 1
3 5 5
3 0 0
2 3 3
5 0 2
0 3 5
10 6
0 2 1
0 1 5
5 5 1
4 4 0
1 2 1
4 1 0
2 4 1
1 1 3
0 0 1
5 5 5
10 7
1 1 1
0 2 0
3 2 0
3 2 1
2 0 0
2 3 3
1 0 0
2 1 3
3 3 0
0 1 3
10 5
5 3 2
4 4 5
0 3 5
2 3 0
4 0 1
5 5 3
4 4 4
2 3 4
2 1 1
2 1 5
10 9
4 1 4
2 1 4
0 4 2
2 4 0
4 0 2
3 4 3
1 2 3
4 2 4
3 4 0
2 1 3
10 5
1 0 1
0 2 1
1 1 2
0 0 2
0 1 1
1 2 1
0 1 2
0 2 0
0 0 0
2 0 2
10 2
2 4 2
1 4 1
4 0 1
3 3 1
1 2 1
3 2 4
0 4 4
3 4 3
4 0 3
4 4 4
10 4
2 2 0
0 0 1
2 0 2
2 2 1
0 1 1
2 0 1
1 0 0
1 1 0
0 1 0
2 1 0
10 4
4 4 0
3 4 1
0 5 4
2 0 3
0 5 1
4 5 1
3 3 3
5 3 4
4 2 5
5 2 1
10 6
1 2 0
2 0 3
2 2 2
3 2 1
3 3 3
2 3 3
1 1 2
1 0 3
0 3 0
1 3 1
10 3
2 2 2
2 0 1
0 2 2
1 2 1
0 0 2
1 2 2
1 0 0
2 1 2
0 1 0
0 1 1
10 3
1 1 1
0 1 0
0 2 0
1 1 2
2 2 1
1 2 0
0 0 2
0 1 2
2 0 0
2 2 2
10 6
3 1 0
3 2 1
2 1 1
2 1 0
2 3 3
3 0 3
0 0 1
1 2 0
0 2 2
0 1 2
10 7
0 0 1
1 2 2
2 0 2
1 0 2
2 1 1
1 1 0
0 2 2
0 1 0
0 0 0
0 2 0
10 7
2 0 5
4 1 3
0 5 1
0 4 3
5 2 5
3 5 1
4 1 0
0 4 5
0 2 4
3 2 3
10 5
0 3 1
5 0 0
0 5 2
5 2 3
1 3 3
0 0 2
4 1 0
4 3 3
0 3 4
3 5 5
10 2
5 4 5
4 2 0
1 2 4
4 5 2
3 0 1
4 1 5
0 5 0
0 5 5
3 3 3
2 2 0
10 2
2 2 1
5 4 3
1 0 5
0 5 4
2 3 4
4 2 2
3 5 0
4 3 3
3 0 2
3 4 5
10 8
0 1 4
4 3 3
4 2 1
0 0 2
3 5 3
1 5 1
5 0 2
3 3 2
5 0 4
1 1 1
10 6
2 0 0
2 2 2
3 2 3
3 3 2
1 1 0
0 3 0
1 2 0
0 1 2
1 2 2
1 2 1
10 6
1 0 1
1 1 1
2 1 0
1 1 0
1 0 0
0 2 1
2 1 1
2 0 0
1 1 2
1 2 0
10 4
1 3 0
3 0 3
1 1 3
2 3 1
3 2 3
0 1 2
3 3 3
1 2 2
2 1 3
1 3 1
10 7
2 1 0
3 1 2
1 2 2
2 3 3
2 3 0
0 0 1
2 1 3
1 0 1
2 3 2
3 0 2
10 5
0 4 3
5 2 0
1 3 2
4 0 3
5 4 4
5 3 1
0 2 2
2 0 5
4 5 1
5 5 5
10 9
0 0 1
1 3 3
3 1 1
0 3 3
2 1 3
2 3 1
3 2 1
3 1 3
3 3 0
0 2 0
10 4
3 3 0
1 3 3
2 4 2
3 2 3
3 4 4
4 4 0
3 0 1
2 3 3
3 2 1
1 1 3
10 9
4 0 0
0 5 0
4 0 1
5 0 1
4 2 1
5 0 3
2 1 4
4 5 4
3 1 2
0 0 1
10 3
2 5 4
3 4 2
5 5 1
5 5 3
0 4 0
2 0 1
5 2 4
2 2 4
0 3 1
2 2 2
10 5
1 3 0
2 3 1
2 1 0
2 3 0
3 3 1
0 0 2
3 1 0
1 3 2
1 0 0
3 0 3
10 2
0 1 1
0 2 4
1 1 4
3 0 2
4 2 4
0 0 0
2 4 4
0 0 3
0 2 0
3 1 2
10 9
0 0 1
1 0 1
0 2 2
1 0 2
1 2 0
1 2 1
1 0 0
0 0 0
1 1 2
2 2 2
10 6
1 2 1
2 0 0
1 0 2
0 0 0
2 2 1
1 0 1
2 2 0
0 2 2
1 2 2
0 0 1
10 8
3 3 2
3 2 0
1 0 4
2 0 1
3 4 2
3 3 4
3 4 4
3 0 4
3 0 3
0 1 0
10 2
0 3 4
3 5 4
4 3 0
2 5 4
5 4 1
5 1 4
4 4 4
1 0 5
2 0 5
2 4 2
10 5
0 1 1
0 1 0
2 2 0
0 0 2
1 2 1
0 2 1
0 2 2
2 2 2
0 0 1
2 0 1
10 2
4 0 1
3 3 2
2 3 1
0 5 0
5 4 4
0 1 5
4 4 3
5 0 3
2 4 4
3 1 4
10 8
4 2 2
3 3 2
4 0 0
2 1 3
0 4 3
3 2 3
0 0 5
1 3 3
3 4 0
3 0 5
10 6
1 0 3
0 2 2
3 1 0
3 4 0
3 2 4
1 1 1
4 3 0
4 4 4
2 4 4
2 4 2
10 2
2 2 0
1 3 2
1 4 1
4 2 0
4 2 3
2 4 1
2 0 4
3 2 4
0 1 3
3 0 4
10 2
1 1 3
2 2 2
0 0 1
2 2 1
0 3 0
0 2 3
2 1 0
2 1 3
0 1 0
2 0 1
10 2
1 2 1
0 0 0
0 2 1
1 3 0
3 1 1
1 0 2
2 0 2
1 1 1
2 2 0
3 3 0
10 3
1 1 1
1 2 1
2 0 2
0 2 0
1 0 1
0 0 1
0 2 2
2 2 2
2 2 0
2 1 1
10 7
3 4 4
4 3 0
1 1 1
2 1 3
1 4 4
3 2 4
2 1 1
0 2 3
1 0 1
4 0 1
10 3
0 0 0
0 3 3
0 0 2
2 2 2
3 0 3
3 3 0
1 3 3
2 1 2
1 0 0
1 0 1
10 7
2 0 2
1 1 0
0 2 0
2 2 1
0 1 1
0 2 1
2 1 1
2 1 2
0 1 0
1 1 1
10 2
0 1 0
0 2 0
4 1 1
2 4 2
0 4 4
4 0 2
1 1 4
3 0 1
2 0 0
1 0 1
10 7
0 2 0
0 2 2
0 0 2
1 0 1
1 2 2
0 2 1
0 1 0
0 1 1
0 0 1
2 0 2
10 2
0 0 0
2 2 2
0 2 1
0 0 2
1 2 0
0 1 0
1 0 2
0 1 2
1 1 0
1 0 0
10 4
2 4 1
5 1 4
4 3 3
2 2 1
2 0 1
3 2 4
3 4 5
3 3 2
2 0 4
4 3 0
10 3
2 1 0
1 2 0
1 2 1
2 0 2
0 0 1
2 2 0
1 0 1
2 1 2
0 2 1
0 0 0
10 7
2 1 2
0 2 2
1 1 1
1 1 2
0 2 1
1 2 2
0 0 2
0 1 0
1 0 1
0 1 1
10 7
1 1 1
2 1 2
0 1 2
2 0 2
1 1 0
0 0 0
0 1 0
0 2 1
1 0 2
1 1 2
10 5
1 2 2
2 2 0
0 1 0
1 0 2
2 1 1
1 2 1
1 0 0
0 2 1
2 1 2
2 0 0
10 9
1 2 1
1 2 2
2 2 2
2 0 3
2 1 1
2 3 0
1 2 0
3 1 2
1 1 0
2 2 1
10 3
3 3 2
1 3 3
1 0 3
3 0 1
0 1 1
1 2 1
1 0 2
3 3 0
3 3 1
0 2 1
10 3
4 2 1
1 4 1
0 3 3
4 0 0
4 0 4
1 4 4
2 0 3
1 2 1
0 4 1
2 3 1
10 9
4 3 1
3 0 3
0 3 4
0 2 0
4 0 1
3 3 4
3 1 1
3 3 3
2 1 1
1 1 2
10 6
5 3 3
1 1 0
1 1 3
5 2 5
4 4 2
3 2 5
3 1 5
2 3 5
3 1 2
1 5 4
10 7
0 1 4
2 5 0
3 0 3
0 4 4
5 4 0
2 2 2
1 2 5
4 1 0
4 0 0
2 5 5
10 6
2 0 1
2 2 3
1 0 0
3 3 3
1 2 2
2 1 0
3 2 2
3 1 3
3 2 1
3 0 3
10 9
2 4 4
2 4 5
1 4 4
4 5 0
5 4 4
0 4 0
0 5 2
2 5 2
0 3 4
1 3 4
10 9
3 3 1
3 0 3
4 1 1
2 2 1
4 1 2
1 1 1
4 3 2
1 4 1
3 2 1
3 3 0
10 8
4 1 2
1 0 2
4 3 2
1 4 1
1 1 3
0 1 0
0 2 3
3 3 0
3 2 3
1 0 3
10 7
0 1 0
0 2 1
3 1 2
1 0 1
3 1 3
0 1 2
2 0 1
2 2 2
0 0 2
0 1 3
10 8
0 0 1
1 2 1
2 0 0
0 0 2
0 2 1
2 2 1
0 1 1
0 2 0
1 1 1
2 2 2
10 4
2 0 2
0 2 2
1 0 1
0 1 1
0 2 1
0 0 2
1 2 1
0 0 0
0 2 0
2 0 0
10 5
0 2 1
1 3 0
1 2 2
2 3 0
3 3 2
0 1 3
2 0 0
2 2 3
3 3 1
0 0 1
10 4
4 2 0
3 3 2
4 2 1
2 0 1
3 3 3
1 1 0
3 2 0
1 0 2
1 3 3
2 2 4
10 3
0 1 1
1 2 0
2 1 1
0 0 1
0 1 2
2 0 1
2 0 2
0 2 1
2 2 0
1 0 1
10 6
3 1 1
3 1 3
3 0 1
0 1 2
2 0 1
1 2 2
0 1 0
0 2 0
1 1 1
1 2 3
10 5
3 0 4
3 2 3
0 2 2
4 1 3
0 3 3
1 4 1
3 4 1
0 3 2
4 3 1
1 1 0
10 7
0 5 3
1 5 2
5 5 3
3 0 2
3 3 4
2 3 0
4 0 3
2 0 3
5 3 0
1 4 1
10 3
0 1 0
2 1 2
0 2 2
1 0 0
2 0 2
1 2 1
2 2 2
0 1 2
1 1 1
2 0 1
10 7
0 1 0
0 2 2
1 2 2
1 0 0
1 1 2
2 0 1
1 2 1
2 1 2
2 2 1
2 0 2
10 7
0 1 2
1 2 2
1 0 1
2 0 1
1 2 0
0 0 1
0 2 2
2 0 2
1 1 1
0 0 0
10 9
1 4 0
5 3 2
2 1 0
4 2 4
3 2 1
0 0 2
0 5 5
1 2 5
0 1 1
0 3 4
10 5
4 5 1
5 2 3
3 3 3
3 3 5
2 3 4
2 1 1
0 1 4
1 0 2
1 4 2
0 3 1
10 6
5 3 2
0 2 1
1 4 2
5 4 1
5 4 5
1 4 3
3 3 4
2 4 2
1 0 1
3 4 3
10 8
5 4 0
5 1 1
3 2 1
5 5 3
0 3 4
0 2 5
4 2 1
5 0 2
1 5 4
0 5 1
10 5
0 3 5
2 0 0
5 3 3
0 3 0
0 0 2
5 5 2
1 5 5
5 1 4
4 1 1
2 0 1
10 5
3 2 1
1 2 0
1 0 2
0 0 0
0 3 2
1 0 3
2 1 3
0 0 2
3 1 2
3 1 1
10 4
5 4 0
2 2 3
2 1 5
3 3 0
3 2 3
2 3 4
2 4 5
0 1 3
1 2 2
3 4 4
10 5
3 0 1
3 3 0
0 4 3
2 3 4
1 2 4
1 3 4
4 0 0
0 4 4
0 1 4
0 2 3
10 9
2 3 4
3 1 1
1 0 1
0 3 0
1 1 1
3 0 4
0 3 2
2 3 3
2 4 2
4 2 4
10 4
4 3 2
2 5 1
0 2 4
3 2 2
2 1 4
3 5 5
5 0 4
0 5 0
2 0 2
0 4 0
10 6
2 5 5
2 3 3
0 3 0
2 3 0
4 3 1
1 4 2
5 5 4
5 0 4
5 2 2
0 4 3
10 8
0 1 0
0 0 0
2 2 2
1 2 2
2 1 1
1 0 2
1 0 1
2 2 0
1 1 2
0 2 0
10 9
0 0 0
3 3 3
2 1 3
2 3 2
1 0 0
2 3 1
2 0 2
3 3 2
3 1 2
1 3 2
10 4
1 0 2
1 2 0
2 1 0
1 1 2
2 2 0
1 0 1
1 1 0
0 0 1
1 0 0
0 2 0
10 3
3 2 0
1 3 3
3 2 1
1 0 3
2 0 2
1 0 1
2 0 0
0 0 2
1 1 1
3 0 1
10 8
1 0 2
2 1 2
2 0 2
0 2 0
0 1 1
1 1 0
0 2 2
1 1 2
0 0 1
2 1 0
10 9
5 4 4
5 3 5
2 2 0
0 2 2
2 1 4
4 1 5
3 1 5
5 1 2
2 3 2
3 0 4
10 5
0 4 4
3 2 0
3 3 3
4 3 2
1 2 2
1 2 4
2 4 2
3 0 1
1 1 0
4 0 1
10 7
1 5 3
1 0 5
0 4 1
0 4 4
4 4 0
3 1 0
1 1 4
4 4 1
2 1 2
4 1 2
10 2
0 2 0
0 0 0
1 4 1
4 0 0
1 2 1
3 1 4
2 2 1
2 3 4
3 4 2
1 1 0
10 8
0 4 4
1 3 2
1 0 0
4 3 1
2 1 0
0 3 3
0 2 0
2 0 4
4 4 2
2 2 4
10 4
1 1 2
0 4 0
2 2 4
3 3 0
0 1 2
4 2 0
2 3 1
4 4 0
4 2 3
2 1 1
10 7
0 1 1
2 2 0
1 2 0
2 0 1
1 2 2
1 0 1
2 2 2
2 1 0
0 1 0
2 1 2
10 3
1 2 2
0 1 0
0 2 2
2 0 2
2 1 2
1 0 2
2 0 0
2 1 0
0 1 1
0 0 2
10 7
2 3 0
3 4 5
2 5 5
1 4 3
1 5 2
2 5 1
0 3 0
1 5 4
0 2 2
2 3 1
10 9
0 1 1
1 1 3
3 3 0
0 2 3
1 2 0
0 3 1
0 1 2
3 0 2
3 3 3
0 1 0
10 2
0 1 0
0 1 2
1 1 2
2 1 2
2 1 0
2 0 0
2 0 1
1 0 1
0 1 1
0 2 0
10 9
1 2 1
2 1 1
2 1 2
2 2 0
0 1 0
2 1 0
0 0 2
0 0 1
1 1 2
0 1 2
10 9
3 0 3
5 1 1
4 3 2
1 1 5
3 4 0
5 4 1
2 5 2
0 4 5
4 3 4
0 2 1
10 4
3 0 3
4 0 1
4 1 1
0 3 2
0 0 0
2 2 0
4 1 3
1 3 3
3 3 4
2 1 3
10 3
2 1 3
3 0 3
2 1 0
0 2 3
0 3 3
1 3 1
1 1 1
2 1 1
0 1 3
0 3 1
10 6
0 3 0
1 0 3
1 4 3
3 1 1
3 3 4
4 2 2
1 2 1
0 1 3
1 4 0
4 4 2
10 9
1 3 3
2 3 1
4 3 4
2 4 3
0 3 1
1 3 2
0 1 4
5 1 1
0 4 5
2 1 0
10 7
5 1 4
0 0 0
5 0 1
1 1 4
1 2 1
0 4 2
1 5 1
1 3 4
4 3 5
3 3 4
10 2
1 1 0
0 0 0
0 0 1
1 2 2
2 0 1
1 1 2
2 2 2
1 0 2
1 0 0
0 2 1
10 2
1 1 1
0 0 0
2 2 0
0 0 2
2 2 1
0 1 1
0 0 1
1 2 2
0 1 0
2 0 1
10 7
1 4 4
2 1 2
3 1 3
0 3 0
2 2 0
3 2 0
4 4 0
1 4 2
3 3 1
4 3 4
10 5
2 1 3
3 0 0
2 3 0
2 1 2
3 3 2
1 2 3
3 2 3
0 3 1
3 3 0
1 0 3
10 6
3 2 1
1 2 1
3 0 2
1 2 0
0 0 3
0 2 3
2 1 0
2 2 0
3 2 3
3 1 1
10 8
0 1 3
4 3 1
3 0 3
0 1 0
4 0 4
2 1 2
1 4 4
1 3 3
0 3 4
2 0 2
10 2
1 0 2
0 2 0
2 0 1
0 1 2
1 2 0
0 0 1
1 2 2
0 2 1
2 1 2
1 0 0
10 7
3 1 0
0 1 5
0 1 0
4 5 4
3 1 3
3 3 5
5 2 4
3 1 2
2 4 2
2 3 3
10 2
0 0 0
2 2 2
0 2 2
0 1 1
2 1 0
1 2 0
2 1 2
1 1 0
1 0 1
2 0 2
10 4
4 3 1
3 0 1
3 0 0
0 0 4
4 2 4
3 2 3
1 0 0
0 1 1
1 1 2
0 4 2
10 9
1 1 1
4 1 0
0 0 2
3 0 4
0 3 2
0 2 1
3 4 4
4 1 4
1 4 2
4 0 3
10 8
4 4 1
0 5 3
5 3 4
0 0 2
1 1 2
2 1 1
2 4 5
1 5 1
1 5 4
4 5 0
10 6
3 2 4
4 3 1
5 2 4
2 5 2
0 0 5
3 1 1
4 4 1
0 5 2
4 0 0
4 5 4
10 4
1 3 1
0 0 1
0 3 1
3 3 2
2 1 0
0 2 3
0 3 3
4 4 2
3 0 3
3 1 0
10 4
1 3 2
4 4 1
0 4 4
5 2 0
2 5 5
4 1 2
5 0 0
5 1 0
3 3 5
5 1 4
10 6
3 4 0
4 1 0
4 4 0
1 4 1
1 1 2
4 1 3
4 4 4
4 0 1
1 0 0
0 3 2
10 9
0 3 3
0 1 3
3 2 2
1 2 1
3 0 3
3 0 0
1 1 2
0 3 0
3 1 2
3 1 0
10 5
1 1 4
0 0 3
1 1 1
1 5 0
1 3 1
1 0 4
1 4 4
5 5 2
1 5 2
4 4 2
10 4
2 1 2
1 1 1
0 0 2
0 1 0
2 0 1
2 0 2
1 2 0
0 0 0
0 2 2
2 1 0
10 5
0 3 0
4 4 3
4 0 2
5 4 1
3 0 5
1 4 0
4 3 1
0 3 3
3 3 1
0 2 3
10 2
0 2 1
0 1 1
1 2 1
2 2 2
2 0 1
0 2 0
1 1 2
1 2 0
2 1 2
0 1 2
10 2
1 0 2
2 0 1
1 2 0
0 0 2
1 1 1
0 1 2
0 2 0
1 0 1
0 0 0
2 2 0
10 4
2 1 1
2 2 2
0 0 1
0 2 1
2 3 3
3 2 1
3 2 3
0 1 1
3 0 2
0 2 3
10 4
2 2 1
0 1 4
5 4 5
5 1 0
4 0 3
2 0 2
5 2 4
3 5 2
0 1 3
0 0 3
10 2
2 1 0
1 0 1
0 0 1
2 0 0
1 0 0
2 0 2
0 2 2
0 0 0
0 2 1
1 1 0
10 7
0 3 2
3 2 1
1 2 1
1 3 3
3 0 0
3 3 3
1 1 3
3 1 0
0 1 1
0 2 3
10 7
0 3 1
0 1 2
1 3 3
1 1 3
1 4 2
3 0 1
4 2 4
1 0 0
3 2 2
3 0 3
10 7
0 1 2
1 0 2
0 1 1
2 1 0
2 1 1
0 0 1
0 2 1
0 2 2
1 1 0
1 1 2
10 3
2 1 0
3 0 1
0 1 2
1 1 3
3 3 0
3 0 3
2 0 0
3 0 2
1 2 0
1 1 0
10 8
4 4 4
4 2 2
4 0 4
3 3 3
0 3 1
4 1 0
0 2 4
1 1 2
3 0 3
3 2 4
10 9
2 2 4
4 2 0
2 2 3
1 3 1
5 2 1
4 0 0
1 2 2
1 1 2
1 4 0
5 0 3
10 8
0 2 3
0 4 1
0 2 5
4 2 1
0 3 2
4 2 2
3 5 3
2 1 3
1 0 0
0 3 3
10 3
3 1 1
0 0 0
0 3 2
1 2 4
2 3 1
4 0 0
2 1 0
1 0 2
3 0 3
4 0 3
10 4
4 4 0
4 0 3
0 2 3
0 0 4
0 0 5
3 5 1
3 3 4
3 0 5
0 2 0
5 0 1
10 2
5 3 3
2 3 0
5 3 5
5 5 0
0 0 3
0 5 0
2 4 0
4 3 3
3 5 4
2 1 1
10 3
0 1 3
4 2 1
4 5 4
4 2 2
5 3 0
2 5 1
3 0 1
1 1 2
5 1 0
0 3 3
10 9
3 3 4
3 4 2
1 1 0
1 4 4
2 1 1
2 4 1
0 0 3
1 1 1
4 2 0
1 0 2
10 9
0 2 1
2 1 0
2 1 1
0 0 1
1 2 2
0 2 2
2 0 1
0 0 0
1 0 1
0 2 0
10 9
0 0 2
0 0 3
0 2 2
1 1 3
2 3 1
0 1 3
0 3 1
0 3 0
3 3 1
1 0 2
10 5
4 0 3
1 0 4
2 4 2
2 0 3
2 4 1
1 1 0
0 2 0
1 1 3
1 4 2
4 2 0
10 3
4 2 4
3 0 1
2 2 2
4 3 3
0 1 1
4 3 2
1 0 2
1 4 2
4 3 0
0 4 4
10 5
3 2 1
4 2 4
2 2 3
3 0 4
4 0 0
3 2 3
3 3 0
2 2 4
3 0 2
2 0 2
10 7
4 0 4
0 0 2
3 1 3
0 1 4
1 1 3
3 0 2
2 0 3
4 3 3
2 1 2
4 2 0
10 7
2 2 3
2 1 3
2 0 3
2 3 3
1 0 0
1 1 2
1 1 0
2 1 1
1 0 1
3 0 1
10 6
3 1 2
2 1 2
3 3 0
0 1 0
2 2 3
1 2 1
3 1 3
0 3 1
1 2 3
2 3 3
10 4
2 3 2
3 0 1
0 3 3
0 1 2
1 2 3
3 0 0
2 3 0
1 0 0
2 3 3
0 1 1
10 9
2 1 0
5 2 0
5 2 4
5 4 4
4 3 3
1 5 2
2 1 1
1 5 1
5 3 3
1 5 5
10 5
1 0 1
2 0 0
0 2 2
1 0 2
1 0 0
0 0 0
0 1 0
2 2 2
0 0 2
2 2 0
10 6
3 2 3
2 4 1
4 3 1
2 0 0
1 2 2
3 2 4
2 0 4
1 0 1
3 1 4
0 0 0
10 8
1 3 1
3 1 4
3 2 1
1 0 2
1 2 2
2 3 3
4 3 4
2 4 3
1 3 3
1 2 4
10 4
5 1 1
2 5 3
5 1 0
3 5 2
5 5 0
5 2 5
1 4 4
1 2 0
1 0 4
4 4 1
10 5
2 1 2
2 2 1
0 0 2
2 2 2
1 0 1
1 1 0
1 0 2
0 1 2
1 2 1
0 1 1
10 5
2 4 5
1 1 0
2 0 0
3 1 0
4 4 4
2 1 4
2 2 0
3 0 4
4 4 2
1 5 4
10 4
0 2 2
2 1 2
0 1 0
2 2 1
1 2 0
2 0 0
1 0 2
0 0 2
0 1 2
1 1 0
10 6
5 0 0
2 4 0
0 0 2
5 2 3
1 0 2
1 0 3
4 2 2
0 2 0
4 1 5
3 5 3
10 3
1 1 1
2 2 2
2 3 2
3 3 1
2 0 0
1 3 2
2 2 1
0 2 3
0 3 2
3 3 3
10 3
0 2 0
1 1 1
0 1 0
0 0 2
2 0 0
0 1 1
0 0 0
2 1 0
1 1 2
1 0 2
10 9
1 1 0
3 4 1
4 0 3
3 5 4
4 1 1
5 1 3
4 5 5
4 1 2
0 4 0
4 4 4
10 8
0 2 2
2 0 1
0 1 0
1 1 1
2 2 1
0 1 1
0 0 0
2 1 1
2 0 2
2 1 0
10 5
1 0 3
0 3 3
0 1 2
1 3 0
3 1 0
2 2 2
3 1 2
1 0 0
0 3 1
3 2 3
10 6
0 3 2
1 3 3
3 2 3
0 0 3
0 0 2
3 0 2
3 0 0
0 2 3
1 2 3
1 1 0
10 8
2 0 0
1 3 0
2 1 3
1 2 3
2 0 1
1 0 0
2 3 2
3 0 1
3 2 0
0 2 0
10 2
1 2 1
0 2 0
0 2 1
0 2 2
0 1 2
2 1 0
2 1 2
1 2 2
1 2 0
0 1 1
10 2
1 0 1
2 2 1
1 1 2
1 1 0
0 0 0
2 1 1
0 2 0
0 2 2
2 0 1
0 1 0
10 4
1 1 0
1 2 2
1 1 1
0 1 2
3 0 1
3 3 1
1 3 3
0 0 3
3 1 3
2 3 0
10 5
1 0 0
1 0 2
1 1 0
2 1 0
0 0 0
2 0 2
1 1 1
1 1 2
1 2 1
2 0 1
10 6
1 0 1
0 0 1
0 0 0
2 1 1
1 2 0
2 2 0
1 2 1
2 0 2
0 1 2
1 2 2
10 4
2 1 0
2 2 0
0 2 2
1 0 0
0 0 0
0 1 2
0 0 1
2 0 1
1 0 2
2 1 1
10 4
4 1 1
1 1 2
3 1 0
1 1 0
3 3 1
1 0 4
0 2 3
1 0 0
1 4 3
0 4 1
10 8
0 1 2
0 2 0
0 1 0
0 0 2
0 2 2
2 1 1
1 0 1
2 2 2
1 1 2
1 0 2
10 8
1 1 2
0 2 1
0 2 2
0 0 1
0 0 2
0 1 0
2 2 2
1 2 0
0 2 0
1 1 1
10 7
4 1 2
2 1 2
4 1 4
2 4 0
4 0 2
0 4 0
3 3 2
2 3 2
3 1 0
1 1 3
10 9
0 0 2
2 1 0
0 1 2
0 2 2
0 0 1
1 1 0
0 2 0
0 2 1
2 0 1
1 0 0
10 3
2 4 2
2 0 0
3 5 0
3 4 0
0 1 4
2 4 3
1 1 3
3 1 5
2 0 3
5 1 1
10 6
2 1 1
0 2 1
2 0 2
1 1 0
0 0 2
0 2 0
2 0 1
2 0 0
0 1 0
2 2 2
10 2
2 3 1
5 0 5
3 0 2
3 3 1
2 0 1
2 3 0
3 4 3
4 2 1
5 2 5
0 5 1
10 2
1 0 3
0 0 3
2 2 3
0 2 2
3 2 1
2 3 0
2 1 2
3 0 2
1 3 0
0 0 2
10 3
2 1 0
4 4 4
4 3 3
1 2 1
0 3 0
4 2 2
4 3 1
2 3 2
1 1 4
2 1 3
10 5
1 2 2
2 2 0
0 0 0
2 2 2
0 0 2
0 1 0
0 1 1
0 0 1
2 1 0
1 1 0
10 5
0 2 2
3 1 3
0 3 0
2 2 3
2 1 3
4 2 3
1 4 3
1 3 2
3 3 3
2 4 1
10 4
1 1 0
3 2 0
3 1 0
3 3 0
3 2 1
2 3 3
3 1 2
1 1 3
3 0 1
3 1 1
10 5
3 3 1
2 2 2
4 1 2
1 0 1
1 3 1
3 0 4
2 1 4
2 3 0
0 0 4
4 4 0
10 7
2 0 1
1 3 3
0 3 2
1 1 1
0 1 2
1 0 2
1 2 2
3 0 0
1 2 1
1 0 0
10 3
0 0 2
4 5 1
1 4 0
4 3 5
0 0 0
1 2 3
3 4 2
5 1 3
1 1 4
0 1 2
10 8
2 0 3
1 2 3
3 3 2
3 1 3
2 1 1
3 3 0
0 0 1
2 1 0
2 2 0
1 1 2
10 6
4 2 4
5 5 1
1 5 2
4 1 1
4 4 4
1 1 4
2 0 0
0 3 3
2 1 4
0 5 0
10 5
3 3 0
1 3 3
3 0 2
1 3 0
2 0 0
3 1 2
1 3 2
2 1 1
3 0 3
2 3 1
10 2
1 2 1
2 1 2
0 2 0
2 2 0
1 0 2
0 1 1
1 1 2
1 2 2
0 2 1
2 1 1
10 7
2 2 3
2 2 1
3 1 0
1 1 2
1 0 3
0 3 3
0 0 2
2 1 0
2 3 1
3 0 1
10 7
2 1 2
1 2 1
2 2 0
0 2 1
1 2 2
2 0 2
1 0 0
1 1 0
0 1 0
0 2 0
10 2
0 1 1
0 0 2
2 2 1
0 0 0
2 0 0
0 0 1
2 0 1
1 2 2
0 2 1
2 0 2
10 5
3 3 1
1 4 2
4 1 3
4 0 0
0 2 5
1 2 5
3 2 0
2 3 0
3 4 3
3 2 4
10 3
2 5 2
0 5 5
2 3 0
2 2 5
5 4 5
2 4 5
4 4 0
2 0 2
2 1 1
4 5 5
10 5
1 3 1
2 0 1
3 2 1
2 0 0
2 0 2
3 2 3
0 1 2
2 0 3
2 2 0
3 3 2
10 9
5 4 1
4 3 0
4 3 4
4 0 2
3 2 4
0 3 0
5 1 4
1 4 1
0 4 5
0 3 4
10 7
3 1 0
5 0 3
5 1 1
5 0 2
0 1 5
1 0 3
2 1 3
1 3 3
5 4 1
0 1 1
10 7
3 5 4
1 1 4
0 5 0
5 2 0
3 0 5
2 0 0
0 5 1
3 3 3
2 3 2
3 0 1
10 2
1 2 1
1 1 2
2 1 1
2 1 0
0 1 2
2 2 2
1 0 2
2 2 0
2 0 0
1 1 1
10 9
0 2 0
2 1 1
2 2 0
0 0 0
0 1 2
2 2 1
0 0 1
2 0 1
1 1 2
1 2 1
10 9
2 1 1
0 2 1
0 0 0
0 1 1
0 1 2
2 2 0
2 1 2
2 0 1
1 2 2
0 2 2
10 4
3 1 2
0 5 5
0 3 4
1 3 0
1 4 1
2 3 0
3 0 1
1 4 2
0 5 4
0 0 0
10 9
2 3 2
3 1 0
1 1 2
3 1 1
2 0 0
2 2 3
1 0 2
2 2 0
3 0 3
0 3 1
10 9
2 4 4
1 1 4
1 0 4
3 1 2
4 0 0
1 1 3
2 2 0
3 4 1
3 3 0
2 2 3
10 9
4 1 0
1 3 0
0 4 1
4 3 4
3 1 1
0 2 2
2 0 4
2 1 0
1 4 2
3 3 2
10 8
2 0 0
0 1 2
2 1 2
1 2 2
1 0 2
1 0 0
0 1 1
0 0 0
1 1 2
1 1 0
10 3
2 1 5
3 5 5
0 0 1
4 3 3
5 5 4
2 2 2
1 5 1
4 1 1
2 1 2
2 4 3
10 8
3 3 2
1 3 0
0 2 1
0 0 1
3 0 0
1 2 2
3 2 2
0 1 1
2 1 1
1 1 0
10 7
2 4 1
2 5 5
1 2 0
3 5 4
4 4 1
5 5 4
4 3 4
4 2 5
5 4 0
0 0 3
10 5
1 2 3
3 0 3
2 1 3
0 3 0
1 2 0
3 1 0
3 3 0
2 1 2
0 0 3
2 0 2
10 6
4 3 4
1 3 0
4 1 1
3 0 1
2 0 3
2 4 1
1 0 2
1 4 1
3 4 0
0 1 3
10 3
0 2 0
2 2 0
0 0 1
0 1 0
1 0 0
1 0 1
2 0 2
2 1 1
1 2 1
0 2 2
10 9
1 1 0
0 2 2
0 3 1
2 1 2
1 3 2
3 3 3
3 1 3
2 0 1
2 2 3
0 2 1
10 8
0 2 0
2 2 3
3 0 2
2 0 3
1 3 1
3 1 3
1 2 2
3 1 0
2 1 1
2 0 2
10 2
1 0 2
0 3 0
1 2 1
0 1 2
0 0 2
1 3 3
0 3 3
1 0 0
1 0 1
0 3 2
10 4
0 4 3
2 0 4
1 4 0
2 1 2
3 0 1
4 3 0
1 2 1
2 2 2
0 2 3
3 0 0
10 9
5 3 5
3 0 0
1 4 4
3 3 3
3 4 4
1 1 4
2 0 4
5 5 1
0 0 5
0 1 2
10 7
1 2 1
1 2 0
1 0 1
2 0 0
2 2 1
2 1 2
1 2 2
0 2 2
2 2 2
1 0 0
10 6
1 2 2
2 1 4
4 3 1
4 1 0
1 1 0
4 4 2
4 2 2
3 0 3
3 3 2
3 2 1
10 6
5 1 1
2 0 2
5 2 1
3 5 3
4 0 3
2 4 5
5 0 4
3 5 4
4 0 5
0 3 2
10 3
2 0 3
0 2 0
0 2 2
0 2 3
2 3 2
0 1 3
1 0 3
1 1 1
2 1 0
3 2 3
10 5
2 1 0
2 3 4
4 1 2
0 2 4
4 1 0
4 2 2
0 4 0
4 0 0
0 3 0
4 1 4
10 9
1 2 5
2 1 0
5 2 5
3 3 3
0 5 5
5 1 3
2 2 3
1 4 5
3 5 4
4 4 5
10 3
0 3 3
0 1 2
3 2 1
1 3 0
2 2 1
2 1 3
2 0 2
3 2 0
1 1 2
1 0 1
10 4
0 3 1
1 2 2
1 1 0
3 0 1
1 0 0
1 0 2
1 0 3
0 3 0
1 2 3
2 1 0
10 5
1 2 2
0 3 3
4 2 1
2 1 1
4 4 2
0 1 1
0 2 3
1 2 4
2 4 2
1 1 2
10 6
5 4 4
0 3 1
5 5 5
0 2 0
5 4 3
0 5 1
3 3 2
4 0 0
2 2 1
2 4 0
10 8
0 0 0
2 2 2
0 1 0
0 1 2
1 2 1
1 0 1
2 0 0
2 2 0
2 1 0
2 0 2
10 8
3 4 0
4 3 2
0 4 1
0 1 4
1 4 2
0 2 2
1 2 4
3 4 4
4 0 1
3 4 1
10 9
2 2 2
2 1 1
1 3 1
0 3 3
4 4 1
0 1 4
1 2 4
3 2 0
3 4 0
3 0 2
10 5
2 1 3
3 2 3
0 1 1
1 1 3
2 2 0
2 2 2
0 0 1
3 3 0
1 0 3
3 1 1
10 5
2 0 2
3 1 2
1 3 2
1 1 1
0 2 3
1 2 1
0 3 0
0 1 2
0 0 2
3 3 0
10 3
1 4 2
1 3 0
0 0 1
4 2 4
0 3 1
2 2 3
2 2 0
4 0 4
3 1 1
2 4 2
10 9
2 4 3
1 1 0
1 2 2
1 1 4
0 3 2
0 1 1
0 2 1
0 1 2
3 4 4
4 3 3
10 3
2 4 2
3 2 1
0 3 1
4 3 0
2 2 1
0 1 0
1 1 3
0 0 3
3 2 3
2 2 4
10 5
3 1 3
1 0 2
0 4 0
4 4 1
1 4 1
3 3 2
0 1 0
3 3 0
1 4 2
3 0 4
10 7
0 1 2
1 1 0
0 0 2
2 2 1
1 2 1
1 1 2
1 0 0
0 0 1
2 0 1
2 1 1
10 6
2 2 3
3 1 2
3 0 2
0 3 1
4 4 1
3 3 2
3 4 4
0 0 1
1 3 0
1 2 1
10 7
5 0 4
2 4 5
3 2 3
1 3 1
4 0 3
2 3 3
0 1 3
0 5 2
4 5 1
1 0 3
10 8
2 3 2
1 2 3
3 2 0
0 0 2
3 2 1
0 1 2
3 3 2
3 3 0
3 2 3
2 1 2
10 7
1 1 5
5 3 4
5 1 5
4 1 3
2 5 4
2 0 3
4 0 5
1 3 0
5 5 4
0 4 1
10 5
3 4 1
0 2 1
1 0 2
0 1 4
1 3 1
4 4 3
2 2 0
1 3 3
3 1 4
3 0 1
10 6
1 0 2
2 2 1
0 0 1
1 2 1
0 0 0
2 0 0
0 2 0
1 0 1
2 0 1
2 1 2
10 3
0 1 0
0 0 2
2 2 1
1 2 1
0 0 0
1 2 2
2 1 2
1 0 2
2 1 1
0 2 0
10 8
1 4 5
3 2 4
3 4 2
0 2 2
1 3 5
5 0 2
0 4 4
4 4 4
1 4 3
3 1 5
10 8
0 2 2
0 1 1
2 1 0
1 0 2
1 2 0
1 2 2
1 1 1
2 0 2
2 2 0
0 0 1
10 4
4 3 2
4 0 1
3 2 1
0 3 2
0 2 4
0 0 1
2 4 0
3 4 0
1 4 4
3 1 3
10 9
4 2 3
3 3 4
3 4 4
1 3 3
0 3 4
4 2 0
0 2 3
2 4 4
1 3 1
0 1 3
10 2
0 2 0
3 3 2
5 2 1
4 0 4
3 1 3
4 4 0
4 1 4
4 3 0
5 3 5
3 4 0
10 2
4 1 0
4 2 3
2 3 3
5 4 0
0 4 0
0 2 2
1 3 0
0 3 0
2 5 2
1 2 2
10 2
2 1 2
1 0 0
2 2 2
0 0 0
0 2 1
2 0 0
2 0 2
0 2 0
0 1 2
0 0 2
10 4
4 2 3
1 0 2
4 2 0
0 4 0
1 5 1
2 0 5
2 4 1
1 3 5
0 5 0
3 1 4
10 3
2 3 1
3 3 0
0 2 0
2 1 3
2 1 2
3 3 3
1 3 0
3 1 3
0 0 3
0 2 1
10 5
1 0 0
2 0 0
2 2 2
2 2 0
1 2 1
2 0 2
1 0 1
0 1 0
2 1 2
2 1 0
10 3
1 0 0
2 1 0
1 2 1
2 0 1
2 2 1
1 0 2
2 0 0
0 1 0
1 1 2
1 0 1
10 8
0 0 1
0 2 0
2 2 0
2 0 2
1 2 0
2 0 1
2 0 0
1 0 2
0 0 2
2 1 1
10 2
0 1 0
3 2 0
0 3 2
3 1 2
2 0 1
2 2 0
3 1 0
3 0 1
2 2 2
1 1 0
10 8
2 2 4
4 2 4
0 3 0
1 3 4
1 4 4
3 2 3
1 2 0
4 0 2
0 4 4
1 4 0
10 8
3 2 2
3 1 4
0 1 4
3 4 2
4 3 0
3 3 0
3 2 0
1 2 0
0 1 0
0 2 1
10 6
2 0 2
1 3 3
1 3 1
0 3 2
0 3 3
3 2 1
0 3 1
1 0 1
3 3 0
0 3 0
10 7
4 4 3
2 4 4
1 3 0
3 2 2
2 1 3
2 0 2
3 2 4
3 2 0
2 3 3
2 1 0
10 7
1 2 2
2 1 0
2 0 1
2 2 2
0 1 2
2 2 1
1 1 0
0 2 0
2 1 2
0 2 1
10 9
5 5 0
2 0 3
2 4 0
5 1 1
4 0 0
1 4 1
1 2 4
1 5 5
5 2 5
5 1 0
10 7
0 1 1
0 1 0
2 0 2
0 0 0
0 2 2
2 2 0
2 0 1
1 2 2
1 0 0
0 0 2
10 8
0 1 0
0 0 0
2 0 0
1 1 2
2 0 1
2 2 2
2 1 1
2 1 0
0 0 1
2 2 1
10 6
2 1 1
0 2 2
1 1 2
2 0 1
0 1 1
2 0 0
0 1 2
1 0 1
2 2 1
1 2 2
10 8
2 5 0
4 0 5
0 2 0
4 5 0
4 5 4
5 5 1
4 1 0
1 0 3
2 4 2
4 3 0
10 7
1 2 0
1 0 2
2 1 1
2 1 2
0 1 2
1 2 1
2 1 0
1 1 0
1 1 2
2 2 2
10 5
1 1 0
0 0 0
2 1 2
0 0 1
0 2 0
1 2 2
0 2 2
1 1 2
2 1 1
2 2 1
10 6
1 0 0
3 2 2
2 2 1
2 2 2
1 2 3
0 1 2
3 1 3
2 1 0
2 3 1
1 0 1
10 4
3 0 1
2 0 2
0 2 3
5 5 5
3 0 2
0 1 0
3 1 0
0 5 5
5 1 1
5 5 2
10 4
4 5 3
4 1 5
2 1 5
4 2 4
1 1 2
2 5 4
3 5 3
2 0 0
1 3 3
0 0 4
10 8
1 2 0
2 1 1
1 1 0
1 1 2
2 2 1
0 1 2
1 0 0
0 0 1
2 1 2
1 1 1
10 5
3 5 2
5 4 4
4 5 3
0 4 3
2 5 3
5 0 3
2 4 2
0 5 3
5 2 0
3 5 1
10 3
5 3 3
5 1 5
0 0 3
5 3 5
1 3 3
1 2 2
2 2 1
3 2 1
4 0 2
1 5 2
10 6
2 2 0
1 2 2
1 1 3
2 0 3
3 0 0
3 1 3
0 0 3
3 0 1
0 2 3
3 1 0
10 6
2 0 2
0 1 2
1 2 2
0 2 2
2 1 2
1 2 0
0 1 1
1 1 2
1 1 0
1 0 1
10 2
1 5 5
0 0 4
0 3 4
5 3 4
4 2 5
3 4 0
5 0 2
5 5 0
1 1 4
2 1 4
10 7
2 2 0
2 1 1
1 1 1
2 2 1
1 0 0
1 0 1
1 2 2
2 0 2
1 2 0
2 0 1
10 5
1 2 2
1 1 1
0 2 2
0 2 0
1 0 1
2 1 2
0 1 0
1 2 0
0 0 0
2 0 1
10 2
4 1 3
2 0 1
5 0 5
3 4 0
5 4 2
3 5 4
2 5 4
5 1 2
3 1 1
1 3 5
10 3
3 2 1
1 2 2
1 1 2
3 2 2
0 2 2
1 3 3
2 0 3
1 1 0
0 1 1
3 3 2
10 9
0 2 1
0 0 2
0 0 0
2 2 0
0 2 0
1 1 1
2 0 0
1 1 2
0 1 0
2 0 1
10 7
1 0 2
2 0 2
2 2 0
0 2 2
1 2 2
1 0 0
0 1 0
1 1 0
1 1 1
2 0 1
10 9
2 2 0
4 3 2
0 1 3
2 1 3
0 3 3
4 0 3
3 0 4
1 3 3
0 4 2
2 3 0
10 3
3 2 2
1 2 1
4 1 3
1 1 0
0 0 4
3 1 0
4 1 0
1 3 0
1 3 3
2 2 3
10 7
1 1 3
3 1 1
0 5 2
5 1 4
4 0 0
4 1 3
1 4 2
3 5 5
3 0 1
5 5 5
10 9
1 2 0
0 0 1
2 0 1
2 2 2
0 2 1
2 0 0
2 1 0
0 1 1
1 0 1
0 2 0
10 6
0 0 3
2 2 2
1 1 0
3 2 1
0 2 1
3 1 2
1 2 1
3 2 2
0 0 2
2 1 1
10 5
1 3 0
0 3 2
0 2 2
1 1 0
1 2 1
3 1 3
3 3 2
3 3 0
1 3 1
2 2 2
10 7
1 4 4
0 2 1
3 3 0
0 0 0
2 0 1
4 3 0
3 4 2
0 2 3
1 1 1
1 0 0
10 8
5 0 0
5 1 3
0 4 0
5 3 4
3 2 4
2 4 4
4 1 4
4 1 5
4 2 3
2 0 0
10 3
2 1 2
4 0 0
3 2 4
4 3 0
0 3 4
3 0 1
3 0 0
3 2 3
4 1 2
2 1 1
10 5
3 4 4
0 3 1
3 0 2
3 2 3
2 4 2
4 4 1
4 2 0
1 4 0
1 3 3
3 2 0
10 9
0 3 0
2 2 2
0 3 2
0 1 0
3 3 2
3 2 1
3 2 0
3 3 3
0 1 1
0 0 3
10 2
0 0 2
2 0 1
2 2 0
1 1 0
1 0 1
2 0 2
0 1 0
1 1 1
0 2 1
0 0 0
10 6
1 1 3
0 0 0
1 1 1
4 1 4
0 4 4
0 2 2
0 0 4
0 3 3
4 3 0
2 3 2
10 2
1 1 0
1 1 1
0 1 2
0 2 0
0 0 2
0 1 1
2 0 2
1 1 2
2 1 2
0 2 2
10 8
2 5 3
5 5 2
3 4 4
0 0 2
1 5 4
5 5 4
2 2 2
2 3 2
4 0 2
0 0 5
10 8
3 2 0
1 5 5
4 0 0
0 0 5
3 4 1
1 3 3
5 1 3
3 5 2
1 3 2
1 4 1
10 3
3 2 2
3 5 2
3 1 2
5 2 2
3 4 1
2 2 4
2 2 2
3 1 1
5 3 4
5 1 1
10 9
4 1 1
1 4 4
0 2 3
1 2 1
2 3 0
2 0 3
4 3 2
4 0 4
4 2 0
4 2 4
10 9
2 5 5
4 4 4
1 3 4
5 4 3
2 1 5
4 1 4
4 1 1
1 5 5
2 2 2
3 4 3
10 9
1 0 2
0 2 1
1 2 1
0 1 2
2 1 0
1 2 2
0 2 0
1 0 0
1 0 1
0 1 0
10 3
3 3 5
3 4 1
5 5 0
5 4 4
5 0 0
5 5 3
1 1 1
0 5 4
0 5 0
2 0 4
10 5
3 1 1
2 2 1
3 2 3
0 2 1
2 3 1
1 3 3
3 2 1
3 3 2
2 0 2
1 3 0
10 6
0 2 1
3 3 0
1 1 0
1 0 3
2 3 0
0 0 2
0 3 1
1 1 2
3 3 2
2 2 0
10 4
2 1 2
1 2 0
2 2 0
1 2 2
0 0 1
0 2 0
0 1 1
2 0 2
0 2 2
1 0 1
10 2
3 0 4
2 1 0
0 3 4
0 4 0
1 0 5
5 5 4
2 0 4
5 5 2
4 0 3
3 2 2
10 5
2 3 4
4 3 0
0 3 3
3 5 0
0 2 2
4 5 0
1 3 0
0 3 4
2 0 2
0 4 4
10 2
1 3 0
2 0 0
0 3 3
0 2 3
2 0 1
1 1 0
3 1 2
2 2 2
2 0 2
2 0 3
10 7
1 5 1
2 5 0
1 3 1
4 4 0
5 3 0
0 4 4
5 1 0
5 2 4
0 0 4
0 0 5
10 8
1 3 0
0 2 3
0 2 2
1 2 2
2 0 1
3 0 3
3 1 1
3 3 2
0 3 2
3 0 1
10 8
0 4 1
4 1 0
2 4 0
0 5 0
4 4 5
1 2 3
0 2 3
1 5 5
1 0 3
0 5 2
10 2
1 2 2
2 0 1
2 0 2
1 1 2
2 2 1
2 1 2
0 2 2
1 2 1
0 1 1
0 1 2
10 2
1 0 1
2 2 1
0 1 1
2 0 2
2 0 0
2 0 1
2 1 0
0 0 1
1 2 2
1 1 0
10 6
0 3 0
2 3 3
0 1 3
2 2 0
0 1 1
0 0 0
3 3 0
0 2 1
3 3 1
1 0 1
10 6
0 2 3
5 3 0
1 2 2
3 2 4
1 1 3
1 0 3
3 2 5
2 1 5
4 0 5
3 4 2
10 2
2 0 0
1 2 1
5 4 3
4 0 3
3 4 0
4 4 4
4 0 1
1 1 3
0 2 3
0 1 3
10 2
3 0 0
1 2 0
3 2 1
0 1 2
1 0 0
0 0 2
2 0 1
2 1 1
0 2 2
2 2 0
10 4
2 1 1
0 1 2
1 0 0
2 2 0
1 2 2
1 2 1
1 1 1
0 1 0
0 2 1
2 1 0
10 7
5 0 4
1 0 5
2 5 5
2 0 4
3 3 1
5 0 2
4 4 2
4 3 3
1 3 5
2 3 3
10 2
1 2 0
0 0 0
1 1 2
2 2 1
2 2 2
1 0 0
2 1 1
0 0 2
2 1 0
0 0 1
10 2
2 1 2
0 2 0
1 2 1
1 0 0
0 0 2
2 0 2
0 0 0
2 1 1
2 2 1
0 2 2
10 3
0 0 1
2 0 1
1 0 2
1 0 0
1 1 2
0 0 0
0 2 1
0 1 0
0 0 2
1 1 1
10 3
3 0 3
2 0 3
0 3 0
2 4 3
2 2 3
0 0 3
1 0 0
2 4 4
4 2 0
4 2 4
10 2
2 2 0
0 2 0
2 0 0
0 0 1
0 0 2
1 1 2
2 0 1
2 0 2
1 1 0
0 1 2
10 3
3 1 1
0 2 0
2 0 2
1 3 1
2 3 2
0 3 1
1 1 3
3 1 3
3 0 0
0 1 2
10 4
0 4 4
0 0 2
3 4 1
2 2 0
4 0 0
0 2 2
3 0 3
1 1 3
0 1 3
0 0 3
10 8
1 2 0
2 2 2
1 2 1
0 2 0
2 0 1
0 1 2
2 0 0
0 0 2
0 0 0
0 2 1
10 2
1 0 0
3 1 1
2 0 2
0 1 3
2 0 1
1 0 1
1 0 2
3 2 3
1 3 4
1 3 3
10 3
1 0 2
1 2 0
1 1 0
0 1 2
2 1 0
1 2 1
2 2 1
0 2 2
1 0 1
0 2 1
10 4
0 4 1
4 4 2
2 3 2
1 2 4
3 3 0
1 4 2
0 1 0
3 4 4
3 2 2
3 0 1
10 3
2 1 2
0 1 1
0 1 2
3 2 0
2 0 1
1 2 1
2 1 3
0 0 3
3 2 1
1 3 3
10 3
2 2 0
1 0 1
2 1 0
1 2 1
0 0 0
0 1 1
2 2 2
1 1 0
2 2 1
2 0 1
10 3
2 4 3
2 3 0
4 3 3
4 3 0
0 3 5
0 2 0
4 1 3
5 2 2
1 5 3
4 2 1
10 9
2 2 3
0 1 3
2 3 1
0 0 3
1 2 3
2 3 0
3 1 2
3 3 2
3 2 0
3 0 0
10 4
2 3 1
2 3 0
3 2 2
1 2 1
0 3 3
1 1 1
2 3 2
2 2 0
2 1 2
3 1 3
10 6
0 4 4
3 5 1
2 1 3
2 4 5
5 2 3
3 1 4
4 3 5
5 1 0
0 3 2
4 1 1
10 7
4 2 4
0 2 4
5 0 2
5 5 1
4 1 1
4 0 3
2 4 3
1 4 3
1 0 0
1 4 1
10 5
3 4 2
0 4 0
3 2 3
0 2 1
4 1 4
0 2 4
2 4 4
1 1 3
0 1 1
1 2 4
10 8
2 3 2
4 0 2
2 3 4
3 2 2
0 4 3
4 1 0
2 4 1
1 0 0
0 3 4
4 4 4
10 2
0 2 1
0 1 1
0 4 4
0 4 2
3 4 2
2 4 2
4 0 3
4 0 4
1 1 0
4 1 3
10 7
2 2 1
2 0 3
1 0 2
1 3 3
0 1 0
2 1 3
0 2 0
2 2 2
3 0 3
1 2 3
10 6
1 2 3
2 1 2
2 2 1
1 1 3
2 3 1
2 2 2
3 3 3
2 3 3
2 2 0
2 0 2
10 2
2 3 3
2 2 1
3 3 3
1 3 2
0 2 0
0 1 0
0 1 1
1 0 2
2 0 3
1 1 1
10 6
3 1 4
4 4 2
4 4 1
1 1 1
2 0 0
3 4 4
4 3 1
2 0 2
0 4 0
3 1 2
10 2
2 4 4
4 4 5
5 1 0
1 3 1
2 5 2
3 5 4
1 1 1
3 3 1
0 0 0
0 3 0
10 9
1 2 2
2 0 2
0 1 1
0 2 2
1 1 1
2 0 1
2 1 1
0 1 2
2 2 2
1 2 1
10 2
2 4 0
4 1 4
2 3 3
4 2 0
0 3 3
0 0 0
0 4 1
3 3 1
4 3 0
2 3 1
10 3
3 4 2
2 5 4
4 2 4
1 0 1
1 3 0
0 3 0
5 1 3
4 2 2
2 2 4
0 5 2
10 4
0 2 4
3 0 1
1 0 0
3 4 1
2 4 2
2 4 4
4 2 4
3 2 3
1 4 0
0 1 1
10 3
1 1 4
2 0 4
1 1 0
4 4 2
4 0 2
0 1 0
4 2 0
0 3 0
1 0 3
3 2 2
10 9
1 2 0
1 0 1
2 0 2
2 2 1
1 1 0
2 0 0
0 1 1
0 2 2
0 0 1
1 2 2
10 9
0 2 0
1 0 2
2 0 1
3 3 1
1 3 0
1 0 0
1 1 0
2 3 0
0 3 0
0 3 3
10 8
2 0 3
3 3 1
3 3 4
2 2 4
3 1 3
4 1 0
4 0 3
0 3 2
2 1 3
1 4 1
10 5
0 2 0
0 4 2
2 2 1
3 1 4
0 2 1
0 0 4
4 0 1
3 2 1
4 2 3
4 4 3
10 7
4 1 2
2 3 3
1 2 1
1 2 2
3 4 2
0 2 3
3 0 3
4 4 2
0 1 4
1 0 2
10 3
3 5 5
4 5 3
1 3 5
4 0 4
2 5 2
1 2 0
3 5 3
0 0 3
4 2 1
5 4 5
10 4
2 2 2
1 0 1
2 1 1
0 1 0
1 1 0
0 2 0
1 2 1
2 1 0
1 0 0
1 0 2
10 5
2 0 5
4 5 4
2 5 5
3 5 0
1 1 0
2 0 4
3 3 1
1 2 4
3 3 4
5 3 0
10 8
5 2 1
2 1 2
3 2 5
3 0 3
4 3 1
1 4 1
4 5 4
0 1 2
1 2 3
1 0 0
10 4
2 1 1
0 1 0
2 2 1
2 0 0
1 0 1
2 0 2
2 2 2
0 0 2
2 0 1
2 2 0
10 8
0 0 0
1 1 0
0 0 2
0 1 0
0 1 2
0 1 1
2 0 1
0 2 2
1 2 0
2 0 2
10 3
3 2 0
0 4 3
4 1 1
2 3 4
0 1 1
1 2 2
1 4 1
4 4 2
4 0 2
1 1 4
10 2
4 3 3
0 3 4
0 4 1
2 1 4
1 4 1
1 1 3
1 0 2
0 4 2
2 2 2
2 1 1
10 5
0 1 3
1 0 1
2 2 2
1 0 2
1 1 2
2 2 1
2 3 3
0 0 0
2 0 2
3 2 1
10 9
2 4 0
3 3 4
3 0 0
3 1 1
1 2 1
0 0 2
1 3 1
0 0 4
3 3 3
4 1 1
10 3
0 0 2
2 0 2
1 1 0
2 1 2
1 0 2
3 2 1
1 2 0
0 1 1
0 3 0
1 2 3
10 8
1 2 3
1 2 0
2 1 2
2 2 2
2 0 0
3 3 0
1 3 3
3 0 2
2 0 2
2 3 1
10 3
2 0 5
4 3 2
4 1 0
4 1 2
2 5 4
1 0 5
4 2 1
5 4 3
3 0 5
4 2 3
10 2
5 1 4
1 2 5
5 0 5
5 4 3
0 3 0
0 1 1
1 3 5
5 4 5
0 4 4
2 5 2
10 5
0 1 4
4 3 3
3 2 2
1 4 2
0 4 4
3 2 1
2 4 3
1 2 3
2 3 0
4 1 2
10 9
3 2 1
0 2 1
1 0 2
0 1 0
1 2 0
1 2 3
3 3 3
3 0 0
3 1 0
2 2 0
10 8
1 2 1
2 1 2
3 1 3
2 2 2
0 3 2
0 2 2
2 3 3
2 2 0
2 3 0
3 3 0
10 9
3 1 0
4 0 2
4 4 3
0 0 4
0 3 1
1 3 1
0 0 1
1 2 2
0 1 2
2 1 2
10 6
4 1 2
1 4 2
3 2 0
0 1 0
3 1 0
1 2 1
2 1 1
3 3 1
4 2 4
3 0 0
10 5
5 1 2
3 5 3
4 1 2
4 1 0
5 2 3
3 2 2
2 3 2
4 4 3
1 0 1
3 1 0
10 7
1 3 0
2 3 3
1 4 3
1 4 4
2 3 4
3 1 1
3 3 2
2 1 0
1 0 4
4 4 4
10 6
1 1 2
0 1 0
1 0 1
1 2 2
0 2 2
1 1 0
2 1 0
1 0 0
2 2 1
2 2 0
10 8
1 1 0
1 1 2
1 1 1
0 1 1
1 0 1
0 2 2
2 1 1
2 2 0
1 2 2
2 1 0
10 3
1 2 1
0 1 0
2 2 1
1 2 0
2 2 0
2 1 0
2 1 1
2 0 1
1 2 2
0 2 1
10 5
1 0 1
3 4 2
4 1 3
3 2 3
2 2 3
3 1 4
2 0 0
4 1 4
3 2 0
1 1 1
10 3
1 5 3
2 2 2
5 2 4
2 3 0
1 5 0
2 5 4
0 0 5
3 1 2
3 5 5
5 0 1
10 2
2 2 0
1 2 2
1 2 0
0 1 1
0 1 2
0 2 1
2 1 1
1 0 1
2 0 1
0 0 2
10 3
2 2 2
5 0 3
3 1 5
0 2 0
4 0 3
1 3 0
5 2 4
5 3 1
3 3 5
3 3 4
10 9
3 5 4
3 2 4
5 1 4
0 5 2
2 2 5
5 2 5
0 3 1
4 4 3
1 0 4
4 5 3
10 3
0 0 1
3 2 3
3 1 3
0 0 0
1 2 0
2 0 1
3 0 0
1 0 2
2 1 2
3 2 1
10 4
1 2 3
4 4 1
3 4 1
1 4 0
2 4 4
0 4 1
1 0 2
2 4 2
1 3 3
3 1 3
10 4
2 0 2
0 3 1
1 4 1
0 3 0
1 2 4
3 4 2
3 4 4
3 3 3
4 4 4
3 3 4
10 5
3 0 2
1 3 1
2 2 0
2 2 2
0 1 2
1 0 1
4 1 1
3 4 2
0 2 2
2 4 0
10 5
3 0 3
4 0 5
4 4 4
0 2 3
5 4 5
4 2 0
4 4 0
2 1 0
2 2 0
2 0 0
10 8
0 1 3
0 0 0
3 2 0
1 2 2
2 1 1
0 1 1
0 2 0
0 1 0
1 2 1
2 1 0
10 2
0 2 2
3 3 1
3 3 4
3 2 2
4 1 4
4 4 2
4 5 3
0 4 2
4 5 2
4 3 0
10 8
0 2 0
3 1 1
4 3 2
4 1 1
2 1 1
0 0 3
2 3 1
0 3 3
3 2 3
2 0 4
10 7
0 3 0
2 1 3
4 1 1
4 0 3
3 2 2
3 1 3
2 4 4
3 3 4
2 0 1
1 0 0
10 3
0 2 5
5 5 1
1 0 4
3 3 1
2 2 0
4 1 4
4 2 2
4 1 5
3 2 3
2 2 4
10 7
2 1 1
0 2 0
0 3 0
3 2 2
2 3 2
1 1 1
1 3 0
2 0 0
0 0 2
3 2 3
10 5
2 3 0
3 0 2
2 0 2
0 3 0
2 1 3
1 3 0
2 2 3
1 1 3
0 2 3
3 0 3
10 6
2 0 0
0 2 2
1 1 0
0 0 0
1 1 2
1 0 1
0 1 1
0 1 0
0 1 2
0 0 2
10 4
2 1 3
3 3 0
2 2 0
3 1 0
0 1 3
1 1 2
3 0 3
3 1 1
1 0 0
3 3 1
10 9
3 3 2
5 3 2
1 0 1
5 2 2
5 2 0
4 0 4
1 5 2
1 3 4
3 3 4
4 2 4
10 3
1 1 0
5 1 2
1 2 5
3 2 1
2 4 0
2 4 3
0 4 2
1 5 3
4 2 2
3 3 0
10 6
5 1 3
2 1 3
3 5 5
5 5 3
3 0 1
0 1 0
0 2 4
4 1 2
4 2 5
0 2 1
10 7
1 2 1
1 1 0
1 0 3
0 2 0
0 1 2
3 1 3
2 1 0
1 3 1
3 0 1
1 0 2
10 3
0 0 4
5 3 4
5 5 2
2 3 0
3 2 0
0 4 5
5 3 1
2 0 4
0 3 0
3 0 3
10 4
1 3 0
1 4 0
1 5 3
0 1 3
1 4 4
3 5 1
2 0 5
1 2 5
5 4 5
0 1 0
10 6
0 1 3
1 0 1
0 0 0
1 1 3
3 0 3
1 0 0
1 2 3
1 1 1
2 2 3
2 2 2
10 2
0 1 2
0 2 0
2 2 2
0 2 1
2 0 1
0 0 1
2 0 2
2 1 1
1 0 2
1 2 0
10 5
3 1 5
1 3 2
2 3 1
2 1 1
4 0 0
0 4 1
5 5 0
2 5 1
4 2 1
2 5 2
10 9
0 2 1
0 2 2
2 1 2
0 0 1
0 1 2
1 1 1
1 1 2
2 0 2
1 2 1
0 2 0
10 6
0 2 1
0 0 2
1 4 3
3 3 3
0 3 1
0 0 0
4 0 0
3 0 4
5 2 5
3 4 3
10 8
0 1 1
2 2 2
0 0 0
0 0 1
1 1 2
2 0 0
2 0 1
1 1 1
2 1 1
1 2 0
10 5
3 3 2
0 1 3
3 1 3
0 3 3
2 3 0
0 0 1
3 0 2
3 0 3
1 3 2
2 3 3
10 8
2 2 3
1 1 2
2 3 1
2 0 2
4 0 1
2 3 0
3 3 2
0 3 1
2 1 4
3 2 4
10 4
0 0 1
0 2 0
0 2 2
1 2 0
1 1 1
1 2 2
2 1 2
0 2 1
1 2 1
2 0 1
10 9
0 0 1
3 3 0
2 1 1
2 3 1
2 0 3
2 3 3
1 0 3
1 2 3
3 3 2
1 2 0
10 5
0 0 0
4 3 2
3 2 2
1 3 0
0 1 3
0 3 1
3 1 0
2 2 0
0 2 2
3 2 3
10 6
2 1 0
0 0 2
1 3 0
3 2 3
0 0 0
2 0 0
1 1 3
1 0 0
0 3 2
1 3 3
10 3
4 2 1
0 2 1
1 0 3
0 1 1
2 1 1
5 0 1
0 5 2
1 5 5
3 5 4
0 0 5
10 4
2 3 3
5 4 1
2 4 5
0 5 5
4 5 0
4 0 3
4 1 0
4 2 5
3 1 1
3 2 2
10 2
3 1 2
0 4 1
1 4 1
4 0 4
0 0 3
4 4 1
1 4 3
0 2 1
3 3 2
3 2 2
10 7
1 1 1
3 2 1
0 3 0
2 0 0
3 0 0
1 3 1
0 1 2
0 1 0
1 0 0
3 1 1
10 4
3 1 0
3 2 2
1 1 3
0 3 2
2 3 2
2 3 3
0 2 0
3 1 2
2 2 3
3 3 0
10 6
2 1 0
2 1 2
2 2 2
1 0 1
0 1 2
0 2 1
2 2 0
1 1 2
0 0 2
2 2 1
10 5
0 0 0
1 2 3
0 0 1
3 0 1
2 0 0
2 2 3
0 1 2
0 2 2
0 1 0
2 3 0
10 3
1 1 2
2 0 2
0 0 1
1 2 2
0 2 2
1 0 0
1 1 1
0 0 2
0 0 0
2 1 1
10 8
1 2 0
2 3 3
0 1 2
3 2 1
3 0 3
0 2 0
3 1 3
3 0 1
2 3 0
3 0 2
10 7
3 2 4
0 0 5
1 2 2
4 0 4
2 4 3
4 1 1
2 3 4
5 2 1
4 3 2
2 4 1
10 8
4 3 4
0 0 2
3 4 1
4 1 2
5 0 3
5 3 1
0 5 3
5 2 4
1 2 3
2 3 1
10 2
0 3 0
1 3 1
2 2 1
1 0 2
3 3 3
0 0 0
0 1 1
0 2 1
0 2 2
2 3 2
10 6
4 1 3
0 0 4
4 5 5
1 4 3
0 1 2
5 5 1
0 3 2
5 4 2
2 5 4
3 0 0
10 4
1 3 3
2 3 3
1 2 0
1 0 3
3 2 2
3 2 0
3 2 1
3 1 0
3 0 3
2 2 3
10 6
4 2 2
4 1 2
0 0 1
3 0 1
2 2 3
2 2 4
3 3 3
3 1 0
4 4 0
1 3 4
10 9
4 1 4
0 3 5
3 0 5
3 1 0
1 3 2
0 0 0
0 3 3
2 0 2
1 0 3
4 2 0
10 2
0 5 1
1 4 2
3 2 5
5 0 3
2 2 3
2 3 3
0 3 1
1 0 5
3 0 3
3 4 3
10 5
0 2 0
2 1 0
1 2 1
0 0 1
1 0 1
2 1 2
2 0 1
1 2 0
2 2 2
2 1 1
10 2
2 0 2
2 3 5
1 2 3
0 2 2
5 4 5
4 1 4
1 5 1
5 5 3
3 0 1
0 2 3
10 9
1 2 2
1 2 1
2 0 0
1 3 3
2 2 1
1 2 0
1 0 0
1 2 3
1 0 1
0 3 3
10 3
2 2 1
2 1 4
3 5 1
5 4 0
3 3 2
2 1 5
2 5 0
4 4 3
0 3 3
2 3 3
10 3
1 1 0
0 0 2
1 2 2
2 2 1
0 2 2
2 2 2
0 1 1
0 1 0
1 1 1
2 0 2
10 2
4 2 1
1 5 5
4 0 2
2 5 5
3 3 2
5 3 0
2 4 1
4 1 3
3 3 3
3 3 1
10 3
0 1 3
0 1 4
1 3 1
2 3 1
1 3 4
0 4 0
1 2 0
1 2 3
2 4 2
0 2 1
10 7
0 0 0
1 0 3
4 1 2
3 5 1
4 1 5
4 0 2
4 2 3
0 1 0
5 1 4
5 3 5
10 6
0 2 0
0 0 1
1 1 0
2 1 1
1 1 2
2 0 2
1 0 2
0 1 2
1 2 1
2 1 2
10 8
2 2 1
1 2 2
1 2 1
2 1 0
1 2 0
0 3 1
0 2 1
2 0 0
1 3 3
3 1 1
10 9
2 1 3
1 0 1
0 0 3
2 0 1
1 1 1
2 2 0
0 2 3
0 0 1
1 2 1
3 3 1
10 3
5 1 4
2 5 2
1 2 1
3 5 5
4 0 4
4 1 0
1 1 5
4 4 2
0 3 5
2 0 0
10 3
2 2 1
1 2 1
1 0 1
1 0 0
1 1 0
0 2 1
1 1 2
1 1 1
0 0 2
2 2 2
10 9
1 0 3
3 2 1
0 3 1
1 1 2
0 1 3
2 0 0
0 3 0
1 3 1
1 2 2
1 0 1
10 4
1 2 5
4 5 4
3 2 4
5 1 5
2 3 1
1 3 1
1 1 2
0 5 0
4 3 1
0 1 1
10 5
3 3 2
1 0 2
3 2 2
2 3 2
3 3 1
3 2 3
1 3 3
0 1 3
0 1 0
3 2 0
10 9
4 2 0
4 2 2
3 1 1
1 3 4
0 3 1
0 0 2
3 4 4
1 2 3
3 3 1
3 2 1
10 2
1 3 0
0 3 2
0 3 0
0 0 0
2 1 1
3 2 3
3 1 2
2 0 3
2 0 1
2 1 0
10 7
3 5 0
4 1 5
1 1 0
1 3 1
4 2 2
5 1 1
2 3 2
4 5 1
5 0 1
4 5 4
10 8
4 4 4
3 2 2
3 3 3
4 2 0
2 0 1
1 2 0
4 3 4
0 4 2
0 2 1
4 3 3
10 3
3 3 2
0 1 1
1 0 1
1 1 3
1 2 2
0 2 2
0 0 2
1 1 0
2 2 0
1 2 1
10 6
1 5 2
4 2 4
4 5 1
5 1 2
2 0 2
0 5 2
5 4 3
1 5 5
5 2 1
2 3 5
10 2
0 4 3
2 1 0
5 2 2
3 3 4
2 1 5
3 3 2
4 0 2
3 0 2
5 2 1
1 3 4
10 2
1 2 2
1 0 1
1 0 2
1 2 0
2 1 2
2 2 2
2 2 1
1 1 0
2 2 0
2 0 1
10 8
2 0 2
1 2 1
2 2 3
2 1 1
1 3 0
2 3 2
2 0 3
0 2 1
0 2 2
3 2 3
10 6
3 2 2
1 0 3
2 3 1
2 1 0
0 0 1
1 3 1
0 1 0
2 0 0
0 3 3
3 3 2
10 7
4 4 4
5 2 1
4 1 4
0 5 0
1 3 2
5 3 0
1 1 5
4 5 3
4 4 1
5 3 1
10 9
1 0 0
1 2 2
1 0 1
0 1 0
1 1 2
0 0 0
1 1 0
0 2 1
0 2 0
2 0 2
10 5
3 3 3
3 3 0
3 3 2
1 1 1
2 2 1
1 4 1
2 1 3
3 2 0
3 4 3
1 4 3
10 8
0 2 1
2 2 0
1 0 2
2 0 0
1 1 2
2 1 2
0 0 0
0 1 1
2 0 1
1 0 1
10 5
0 2 1
2 0 3
1 3 0
4 0 1
4 3 1
2 1 4
3 4 2
0 4 3
4 0 0
4 4 1
10 8
2 2 0
4 0 0
0 0 4
0 3 3
3 3 3
1 2 0
4 0 1
0 4 2
2 3 1
1 4 2
10 8
1 2 0
1 0 2
1 2 2
0 0 0
0 2 1
2 0 0
0 0 1
0 1 0
2 2 1
0 0 2
10 7
2 1 0
0 1 0
1 0 0
1 1 0
2 0 1
0 1 2
1 2 0
2 1 2
0 0 1
0 0 2
10 5
2 2 1
1 0 0
0 2 0
0 2 2
1 2 0
1 1 1
0 1 1
2 0 2
0 0 0
2 2 2
10 4
3 1 0
1 0 1
2 3 2
2 1 3
2 3 3
3 2 0
0 2 3
2 3 1
1 1 2
0 1 1
10 5
2 3 3
0 0 3
3 0 2
0 0 1
2 3 0
2 2 0
0 0 0
0 3 0
2 2 2
1 2 0
10 2
2 4 4
1 0 1
4 3 0
0 1 1
3 1 1
2 0 2
2 3 0
3 0 2
2 1 4
0 2 2
10 7
2 3 4
1 3 0
4 2 3
3 0 3
0 3 3
3 3 0
2 4 0
0 2 4
3 0 2
2 4 4
10 2
1 2 0
2 1 2
0 1 1
1 0 2
2 0 2
2 0 0
2 0 1
0 0 0
1 1 0
1 2 1
10 5
3 0 5
4 3 4
2 2 5
3 1 3
1 5 0
2 5 0
2 5 3
5 5 3
0 3 0
3 4 3
10 3
1 1 3
4 3 0
4 0 0
4 4 4
1 2 2
0 2 2
3 1 0
4 0 1
3 5 2
0 5 2
10 2
1 5 4
5 1 1
1 0 4
3 0 0
3 0 2
3 3 5
1 4 2
4 2 5
3 5 5
0 2 3
10 9
1 1 0
2 1 2
1 0 0
0 1 2
0 2 2
0 1 0
2 1 1
1 2 1
2 2 0
1 1 2
10 5
4 2 1
1 3 1
1 3 4
4 4 1
0 0 1
1 1 1
4 1 1
2 4 1
3 4 0
1 3 3
10 7
4 1 4
0 0 3
3 4 0
1 2 4
3 2 0
2 0 2
0 4 3
3 0 1
4 2 4
4 1 1
10 3
3 1 1
4 4 0
0 4 0
4 0 0
3 3 0
0 0 3
1 4 2
4 0 3
4 3 2
4 0 2
10 9
3 3 1
2 0 1
3 2 3
1 3 0
3 3 2
0 3 2
0 1 0
1 1 2
0 2 0
1 3 3
10 6
0 1 0
3 4 2
2 2 0
0 4 3
3 1 1
3 2 1
3 4 3
3 4 4
1 0 3
3 2 4
10 9
2 2 2
0 2 1
1 1 2
1 1 0
1 0 2
0 2 0
1 2 2
0 1 1
0 0 1
2 2 1
10 2
3 3 2
3 2 0
3 3 1
1 2 2
1 3 3
0 2 0
0 2 1
2 1 3
1 3 2
2 2 0
10 7
4 0 1
3 4 3
1 2 4
1 0 0
1 4 2
4 2 4
1 3 2
3 3 3
0 0 1
3 1 4
10 4
0 0 2
2 0 1
1 0 2
0 1 2
1 0 1
2 2 0
1 2 2
1 1 0
2 1 1
2 2 1
10 5
5 4 4
3 2 3
4 3 3
4 4 3
1 4 4
2 2 0
4 1 2
4 0 3
4 1 5
5 0 0
10 2
1 0 2
1 3 0
2 0 3
0 2 3
3 1 2
1 1 0
3 2 0
0 1 2
0 2 2
1 1 1
10 8
1 0 2
3 3 1
1 1 2
3 1 3
2 3 2
0 2 2
1 1 3
2 0 2
3 0 3
2 1 3
10 8
2 3 0
3 1 1
3 3 2
2 0 2
2 0 1
1 0 1
0 2 1
1 0 2
3 1 0
2 3 2
10 5
3 1 0
3 3 3
0 2 2
2 3 3
1 2 0
1 1 1
1 3 2
3 0 0
2 3 0
1 3 0
10 8
0 1 2
1 2 1
2 0 0
1 1 2
0 2 2
0 1 1
1 1 1
1 1 0
2 2 2
0 2 1
10 4
1 1 2
0 1 1
3 0 1
4 0 4
1 0 2
0 4 4
4 0 2
4 2 3
2 2 2
3 4 2
10 3
4 2 3
3 4 4
2 4 2
1 2 3
1 1 3
0 1 0
2 0 0
1 0 0
4 2 1
2 3 3
10 4
2 1 2
1 1 1
0 0 1
1 1 0
0 1 2
1 0 0
1 2 0
1 0 1
2 0 1
2 0 2
10 5
2 3 1
3 4 4
1 2 0
2 3 5
1 2 3
1 0 0
1 3 2
0 1 3
4 2 1
4 2 5
10 2
3 1 4
1 0 2
3 1 1
4 2 0
1 2 2
0 3 0
1 2 3
3 3 0
4 1 1
2 2 3
10 9
0 0 0
2 2 2
0 0 2
1 2 0
1 0 1
2 2 0
0 1 0
1 1 2
0 0 1
2 0 1
10 6
4 3 1
3 0 1
0 1 3
2 3 4
4 4 4
0 2 1
1 4 1
0 2 3
0 4 4
1 2 0
10 4
1 0 0
2 2 2
1 2 1
2 0 0
2 1 1
2 1 0
2 0 2
2 2 0
2 1 2
0 0 1
10 5
2 5 4
3 1 0
5 5 2
3 0 5
3 1 1
4 4 4
1 5 2
3 2 3
5 0 1
2 5 0
10 9
0 5 3
1 3 3
4 2 3
1 5 3
5 1 3
3 3 0
5 4 4
0 5 1
0 3 5
3 5 5
10 9
0 5 1
5 4 5
5 5 2
5 4 0
5 3 3
1 1 3
3 3 1
0 3 3
0 3 2
2 0 0
10 6
0 1 0
1 1 2
3 1 1
1 0 3
0 1 2
2 0 2
3 0 4
0 3 2
1 4 3
2 4 4
10 7
4 4 1
2 1 2
4 0 4
2 1 0
2 4 0
3 2 2
1 4 1
3 4 1
0 0 2
3 4 4
10 9
1 0 2
0 0 1
4 3 1
1 2 3
1 4 2
3 4 2
3 2 2
4 0 4
4 4 3
0 0 0
10 2
2 1 2
2 2 2
1 1 1
2 1 0
1 0 1
0 0 2
0 1 0
0 1 2
0 0 0
1 2 0
10 9
1 0 2
0 0 2
0 1 1
0 0 0
2 1 2
0 2 0
2 0 0
1 1 2
1 0 0
0 0 1
10 6
0 3 0
0 1 2
3 0 0
2 3 2
1 2 0
3 3 1
0 2 0
3 2 1
1 1 2
2 3 1
10 3
2 0 0
2 2 0
3 0 2
0 1 0
0 2 2
1 0 1
2 1 3
2 2 1
2 1 0
1 3 2
10 6
2 0 1
2 1 2
0 1 2
0 0 0
2 2 2
1 2 0
2 0 0
0 2 2
2 2 1
1 2 2
10 2
1 3 3
2 1 3
2 3 1
1 3 0
1 2 0
3 2 2
3 0 1
3 3 0
3 1 1
3 1 0
10 3
1 3 2
1 3 0
0 3 1
0 3 0
3 1 4
3 2 4
3 2 1
0 4 3
4 3 4
3 3 1
10 7
0 2 3
1 3 0
3 1 0
0 1 2
1 0 0
3 1 2
1 0 1
2 3 3
0 0 0
0 0 1
10 7
0 2 0
1 2 0
2 0 2
0 2 1
1 2 1
1 0 1
0 1 1
0 1 0
0 0 1
1 1 1
10 2
0 1 1
1 1 0
2 2 1
1 1 2
0 2 2
2 1 0
2 2 0
2 1 2
1 2 0
1 1 1
10 6
1 1 1
2 0 2
2 0 1
1 1 0
3 1 3
0 3 0
3 1 2
3 0 1
2 3 3
2 2 1
10 7
2 1 0
0 2 2
1 0 1
0 0 1
1 0 2
1 1 0
0 2 0
2 0 2
0 1 2
2 2 0
10 9
0 1 1
3 0 1
2 3 0
0 2 3
3 0 2
3 1 2
2 2 3
2 0 0
3 3 1
3 0 0
10 9
2 0 1
1 2 2
2 1 1
0 2 0
0 1 1
1 1 0
1 1 1
2 0 0
2 1 0
1 0 0
10 6
4 5 4
3 4 4
0 5 2
1 5 5
5 4 4
3 5 3
1 4 1
4 1 5
5 2 1
3 5 1
10 2
3 3 1
0 1 3
1 3 3
2 3 2
3 1 0
3 3 2
3 1 2
1 1 0
2 2 1
1 0 1
10 6
3 3 0
3 2 3
0 2 1
2 0 3
1 1 1
3 0 2
2 1 0
0 3 2
0 2 3
0 1 2
10 7
0 3 2
0 0 0
0 1 1
1 1 2
2 3 2
0 0 3
2 2 3
1 3 1
1 3 0
1 0 2
10 7
3 4 3
3 3 3
0 2 4
4 4 0
4 2 4
2 1 1
3 1 3
4 1 2
4 3 3
0 1 4
10 9
0 2 2
1 2 0
2 2 0
2 2 2
2 1 2
1 2 1
2 1 1
1 1 0
0 1 2
2 0 1
10 3
2 0 2
0 2 3
1 4 0
5 1 1
2 2 2
5 2 3
3 2 0
0 1 1
4 2 2
0 1 2
10 7
0 2 3
1 0 4
2 2 0
3 2 0
3 0 3
2 1 4
2 3 3
1 4 4
0 2 1
3 1 0
10 8
4 3 3
2 0 1
0 2 4
0 0 3
2 4 3
4 2 0
1 0 3
3 1 3
3 4 0
1 3 3
10 7
2 0 2
1 1 1
1 3 1
3 1 3
2 1 3
3 1 0
0 2 1
2 2 3
1 0 3
3 0 1
10 5
3 0 3
1 2 2
0 3 0
3 3 0
1 0 3
0 4 0
2 4 2
0 3 2
0 1 3
0 0 3
10 7
2 1 1
2 2 2
1 0 0
2 2 1
1 1 2
2 0 0
1 1 0
1 0 2
0 1 2
0 2 0
10 5
2 2 0
0 2 2
0 2 1
0 0 0
2 0 1
2 1 2
1 2 2
1 0 1
1 1 2
2 2 2
10 5
0 2 4
3 4 3
1 1 3
4 0 4
4 3 2
1 4 2
0 1 2
4 1 4
2 0 4
2 0 1
10 8
0 2 0
0 2 2
1 1 0
1 0 2
0 1 0
2 0 2
2 1 1
0 0 2
2 2 0
0 1 1
10 7
0 1 3
4 1 0
3 1 0
4 4 1
3 3 1
1 3 1
3 4 0
2 3 2
3 1 3
0 0 0
10 2
2 1 1
2 0 1
2 1 2
1 1 1
1 1 0
2 0 2
0 2 1
1 0 2
0 0 2
0 1 2
10 5
0 0 0
3 2 1
3 1 1
1 1 1
2 2 4
2 3 3
0 3 2
4 0 1
3 0 3
2 0 4
10 9
1 4 3
2 3 4
1 1 1
1 2 4
3 1 3
4 0 4
0 2 2
4 0 0
3 0 0
4 3 2
10 6
5 4 4
2 5 1
2 2 2
4 5 4
0 1 5
4 2 4
0 4 4
2 5 0
0 4 5
4 4 3
10 7
2 0 2
0 0 3
1 2 2
1 2 0
2 3 1
3 1 2
3 3 0
2 1 2
1 2 3
2 2 2
10 6
5 3 2
5 2 1
4 3 0
3 0 4
5 2 3
3 5 5
1 3 2
4 5 3
2 2 1
5 1 4
10 7
5 1 1
0 0 2
0 5 0
5 3 5
3 1 5
3 1 4
5 0 1
3 5 1
5 4 1
2 5 2
10 9
2 1 2
1 1 2
4 2 4
4 1 1
2 1 1
1 2 2
0 0 0
3 2 4
2 1 0
3 0 0
10 5
3 0 3
1 0 1
2 1 2
0 2 3
2 3 1
2 2 0
0 0 2
2 3 3
3 2 2
0 2 0
10 9
2 3 3
2 3 0
2 3 2
3 1 3
3 0 3
2 0 3
3 2 3
2 0 1
3 1 2
3 0 1
10 9
0 1 0
2 1 1
0 2 1
0 0 1
3 0 3
1 0 1
0 1 3
1 0 0
0 3 0
1 3 3
10 2
4 0 3
2 3 1
0 2 4
0 4 1
3 2 2
4 1 2
1 3 1
1 1 1
2 0 0
2 0 2
10 2
2 4 3
2 2 2
2 3 3
0 4 2
2 4 2
2 3 0
4 2 0
0 4 1
1 0 1
4 4 3
10 7
2 2 1
0 3 2
1 1 0
3 0 3
1 0 0
0 3 0
0 2 3
2 0 3
0 3 3
3 3 0
10 2
1 0 1
0 0 0
1 2 1
0 1 0
2 1 0
1 0 2
2 1 2
0 0 2
1 1 1
2 0 2
10 4
3 3 1
0 0 5
2 5 5
4 3 0
4 1 3
2 3 3
3 4 5
2 1 4
4 3 5
5 4 2
10 2
2 4 4
3 1 0
4 2 2
0 2 1
1 3 2
2 3 2
2 4 3
3 2 3
0 4 1
1 4 3
10 7
2 3 3
2 3 1
4 3 0
3 3 2
3 4 1
0 4 3
2 0 0
3 3 1
3 2 1
4 3 4
10 5
1 0 2
1 1 2
2 2 1
0 0 2
2 1 2
0 1 1
1 2 0
2 1 0
0 2 2
2 2 0
10 3
3 5 3
1 1 0
0 1 4
1 2 3
3 2 2
4 5 3
5 1 1
5 5 5
1 3 2
4 2 2
10 3
3 3 2
2 2 0
2 0 0
2 0 3
0 0 3
3 0 3
2 1 0
3 1 0
2 0 1
0 1 2
10 2
1 2 2
3 0 1
3 3 0
3 0 2
3 0 0
2 0 3
1 1 3
3 1 3
2 1 0
2 2 2
10 3
1 2 2
1 2 1
2 0 1
1 0 2
1 0 1
0 0 2
2 1 2
0 2 1
2 2 0
0 2 0
10 2
2 2 1
0 3 1
1 0 1
0 2 1
1 3 3
1 1 3
1 0 2
1 0 0
1 2 0
2 0 0
10 3
4 3 1
1 4 3
4 3 0
5 5 0
0 4 5
0 2 2
2 1 2
3 3 4
1 4 2
1 5 2
10 7
3 1 3
0 0 1
3 1 1
2 0 3
0 1 3
1 3 2
0 3 0
2 1 2
0 0 2
0 2 0
10 6
3 2 0
0 1 1
0 0 1
1 0 3
0 2 2
1 0 0
3 1 0
2 3 2
3 0 2
0 3 0
10 8
5 0 5
1 3 3
0 1 4
5 5 2
5 2 5
3 1 2
3 5 0
4 4 5
3 1 0
1 5 5
10 5
5 1 1
4 3 3
0 2 5
0 3 2
1 1 1
3 1 1
1 0 3
2 5 3
2 2 4
5 0 3
10 9
0 4 3
3 1 2
1 3 5
2 0 4
2 3 4
4 1 2
0 2 1
2 4 3
5 0 3
1 4 4
10 4
1 2 1
1 1 0
0 1 1
2 1 2
2 0 0
0 0 2
1 0 1
0 1 0
2 0 1
1 0 2
10 6
2 0 1
1 4 0
1 3 2
3 0 1
0 0 0
4 2 2
3 1 4
0 0 1
3 3 0
4 4 3
10 2
2 2 0
0 3 3
3 3 2
1 1 3
3 1 2
0 2 3
2 0 2
3 0 2
1 1 0
0 2 0
10 6
0 0 1
2 0 0
2 1 1
1 2 1
0 0 0
2 2 0
0 1 0
1 2 0
0 2 1
0 0 2
10 3
0 0 2
1 5 1
5 2 2
0 3 4
4 1 0
3 2 3
5 5 2
3 2 0
5 1 0
2 5 0
10 7
4 1 1
3 4 2
0 0 2
4 0 4
4 0 2
4 2 2
5 3 4
3 1 0
4 2 3
2 0 5
10 9
2 0 0
2 2 0
1 3 0
3 3 1
3 0 3
2 1 3
3 1 2
0 1 1
2 3 0
3 1 3
10 3
4 0 0
4 5 2
4 1 4
5 1 3
2 2 3
5 3 3
5 1 4
4 2 0
5 0 5
3 3 1
10 3
1 0 3
0 0 2
0 3 3
4 0 1
2 2 4
3 3 1
2 3 3
0 4 3
1 4 0
3 0 3
10 4
1 2 2
2 1 1
3 0 3
4 1 2
2 0 4
0 1 0
0 4 4
0 1 4
1 0 1
0 2 4
10 5
0 0 2
0 2 2
2 0 0
2 2 2
2 1 1
0 2 1
0 1 0
1 2 0
0 1 1
1 1 0
10 3
3 4 0
2 4 2
3 3 0
2 1 3
3 1 2
4 4 2
0 4 1
4 1 1
4 0 0
4 3 1
10 3
5 2 3
4 1 0
2 0 4
4 2 0
2 3 1
0 4 2
4 0 4
3 5 0
5 4 5
0 0 5
10 3
2 2 0
1 3 3
2 2 2
3 3 1
3 0 2
0 1 1
0 1 0
0 0 0
2 3 3
1 2 1
10 6
2 5 1
3 0 3
3 2 3
2 5 4
1 2 2
5 5 2
3 1 5
4 1 5
3 5 2
5 1 4
10 8
1 3 2
1 3 1
3 1 3
1 0 0
1 2 3
0 2 3
3 3 1
3 0 1
0 3 3
0 1 3
10 7
2 1 2
0 3 2
2 0 2
0 0 5
1 3 2
2 0 0
1 3 5
3 2 0
5 2 4
1 5 2
10 9
1 3 2
4 4 0
1 2 4
0 3 0
1 4 4
0 4 0
3 0 2
4 0 1
2 4 3
1 2 2
10 7
1 1 0
0 2 1
2 3 0
0 2 2
0 2 0
2 1 0
1 1 3
2 2 0
3 3 2
0 1 1
10 7
3 0 4
4 4 2
2 1 3
0 2 3
5 0 2
5 3 2
4 2 2
0 4 0
3 2 2
2 4 3
10 8
1 3 4
1 0 0
3 4 1
1 0 4
3 2 3
1 4 1
2 1 0
4 0 0
1 1 0
2 3 3
10 6
3 1 2
4 3 0
1 3 1
0 0 2
2 4 2
1 0 2
2 4 0
4 1 0
2 3 3
2 2 0
10 3
2 0 0
1 2 0
1 0 0
2 1 0
0 0 1
2 0 1
1 1 2
0 2 0
1 1 1
1 1 0
10 6
0 1 1
0 3 1
1 3 2
1 3 3
2 1 0
2 0 1
1 0 0
1 1 2
0 2 0
1 3 0
10 7
1 2 2
0 2 0
2 2 2
1 1 1
2 0 0
1 1 2
0 2 1
2 2 0
1 2 1
0 1 0
10 2
1 1 2
2 3 3
2 0 0
2 3 1
3 3 2
0 3 0
3 0 1
3 2 1
2 1 3
0 1 3
10 8
3 2 0
1 1 3
3 3 2
2 5 2
1 5 2
3 2 3
4 0 0
0 4 0
0 0 4
2 1 5
10 5
5 4 5
4 0 0
4 5 1
1 2 5
0 5 2
3 1 4
4 4 0
0 5 1
1 5 5
5 2 0
10 8
2 2 0
1 1 1
2 1 0
2 0 2
1 2 1
1 1 0
1 0 0
0 0 1
2 2 2
1 1 2
10 8
0 1 2
0 3 1
1 0 3
1 3 1
0 0 2
2 1 2
0 3 3
1 2 1
0 0 3
3 2 0
10 7
0 3 4
4 0 2
1 0 0
1 0 4
0 3 1
4 3 1
2 2 3
4 4 3
0 4 0
4 1 2
10 7
0 3 3
1 1 0
1 1 3
4 3 4
4 3 3
1 0 4
0 3 4
1 2 1
2 1 3
4 1 1
10 5
0 4 4
2 3 0
3 1 1
3 0 0
2 0 2
1 2 2
1 1 3
2 1 1
3 4 1
2 2 4
10 4
1 2 1
0 0 2
2 1 0
2 0 3
1 1 0
3 3 3
1 1 1
3 2 1
0 1 3
3 0 0
10 2
0 4 1
4 0 4
2 2 2
4 4 2
3 1 2
1 4 4
4 0 3
0 2 1
0 3 4
1 2 3
10 8
0 1 3
3 1 1
2 4 2
4 4 2
4 3 1
4 4 1
4 3 3
4 3 4
1 2 0
1 1 2
10 6
2 2 3
2 1 1
0 0 0
5 4 0
1 5 4
0 1 1
5 2 2
4 2 2
1 2 1
2 3 1
10 4
1 2 5
4 1 1
5 1 1
1 1 3
5 0 3
4 5 0
4 2 5
3 5 0
0 0 1
4 3 4
10 7
1 1 0
3 3 0
4 0 4
0 1 3
1 4 4
4 3 4
4 3 1
3 2 0
1 3 4
1 1 2
10 2
1 0 1
1 0 3
4 4 2
3 1 0
2 3 0
0 0 2
2 3 1
3 4 3
3 1 4
0 1 2
10 7
0 2 2
2 3 1
0 3 0
4 3 0
0 2 1
0 1 0
3 5 0
4 2 2
5 5 1
0 4 1
10 5
1 2 4
5 2 2
4 4 0
3 1 0
2 0 0
2 3 5
3 1 2
0 2 1
1 5 1
0 0 5
10 9
0 0 1
1 2 1
1 2 2
1 1 1
2 0 1
0 1 2
2 0 2
0 2 0
2 2 1
1 2 0
10 6
2 2 3
1 1 0
0 1 4
1 4 2
3 3 1
1 0 1
2 0 1
1 2 0
2 1 0
3 4 3
10 9
1 1 1
2 2 1
2 0 0
1 2 2
1 0 0
1 1 2
0 1 2
0 2 0
2 0 2
2 2 0
10 3
2 2 2
1 3 1
3 2 1
3 2 0
1 1 2
2 1 3
0 3 0
2 2 3
0 2 1
1 3 0
10 2
1 0 0
0 2 2
3 3 0
2 0 2
0 0 0
1 0 3
1 3 1
0 2 0
0 3 2
3 2 2
10 6
1 4 3
2 0 1
3 2 0
4 1 0
3 1 4
2 2 4
4 3 3
4 0 2
0 3 2
0 3 3
10 3
0 2 2
0 0 0
1 0 3
2 2 0
1 3 1
2 3 2
2 0 3
2 3 0
1 2 2
1 0 0
10 8
2 0 1
0 1 1
0 1 2
1 1 2
2 2 1
1 2 2
0 0 2
1 2 1
2 2 2
0 2 2
10 5
1 0 1
0 0 2
1 0 3
0 2 3
1 2 1
2 0 2
2 1 0
1 0 2
2 2 2
3 3 3
10 7
0 2 4
3 4 4
4 4 4
3 2 4
0 3 0
3 1 0
0 0 4
2 0 1
3 1 2
2 2 4
10 8
0 1 1
0 2 2
2 2 1
0 2 0
1 1 2
1 1 0
2 0 1
1 0 2
1 0 1
0 0 1
10 2
1 2 1
1 0 1
2 0 1
1 0 0
1 2 2
2 1 2
2 0 2
0 2 2
0 1 2
1 1 2
10 7
4 1 1
4 4 1
0 0 4
4 1 0
2 2 2
4 0 4
1 0 0
1 3 3
1 4 3
0 4 4
10 4
0 0 2
5 1 0
5 0 1
3 0 5
1 1 4
2 3 0
0 5 0
3 2 5
4 1 1
3 3 4
10 4
2 2 2
2 0 1
1 2 0
2 0 2
1 1 1
0 1 0
0 2 2
1 2 2
1 1 2
0 2 0
10 8
1 3 2
2 3 1
0 1 1
2 2 0
2 2 3
0 3 1
3 0 2
2 1 0
2 0 3
3 2 2
10 6
2 3 0
2 4 0
0 3 1
2 2 2
0 0 2
0 4 0
2 0 1
4 3 4
2 0 0
1 4 1
10 9
5 2 2
1 2 5
3 4 5
3 2 1
0 4 4
2 1 0
0 2 2
0 0 0
0 5 2
2 5 4
10 7
1 1 0
1 0 0
0 0 2
2 0 2
0 1 1
1 2 0
2 2 2
2 2 0
0 0 1
0 0 0
10 5
4 3 1
2 2 5
2 2 2
0 4 4
2 4 4
0 0 1
1 3 4
4 5 0
5 3 0
2 2 1
10 7
1 2 4
0 0 4
4 4 1
0 3 1
2 2 3
1 3 3
3 3 1
4 3 1
2 1 3
4 0 3
10 2
5 1 5
3 3 3
5 2 3
4 0 3
3 2 1
5 5 3
5 0 5
0 0 4
0 4 4
0 2 2
10 5
2 3 2
0 3 0
0 1 4
0 5 3
4 3 3
2 5 1
5 1 3
3 5 4
0 5 4
1 3 5
10 2
2 2 2
1 2 0
1 2 1
1 0 2
1 0 1
2 1 2
0 0 1
1 0 0
2 0 0
0 2 2
10 3
1 0 3
3 2 1
3 1 3
1 2 2
0 3 3
1 0 1
0 2 2
1 1 1
2 3 2
3 2 3
10 5
0 2 2
0 2 1
0 0 1
1 1 0
0 0 0
2 0 1
2 2 2
2 2 1
2 1 2
2 1 0
10 5
0 0 3
3 3 2
0 3 3
0 1 2
2 0 2
3 1 2
3 1 3
0 0 0
2 0 1
3 0 1
10 6
0 4 0
0 0 2
2 3 0
1 4 3
2 1 0
4 1 0
2 3 2
2 1 2
0 3 1
2 1 3
10 8
2 1 2
1 1 3
2 0 0
1 2 1
2 2 3
3 0 3
2 2 0
3 3 3
2 0 1
3 1 3
10 6
3 3 3
3 0 1
0 1 0
1 1 1
3 1 0
1 1 3
1 0 3
1 0 1
0 0 3
3 3 2
10 3
2 2 1
2 0 1
2 2 0
0 2 2
0 2 0
2 1 0
1 0 2
1 2 2
0 2 1
0 1 1
10 4
1 1 1
1 2 2
0 3 3
3 1 3
3 0 2
0 0 2
0 3 0
0 2 0
1 2 3
1 3 0
10 2
1 1 0
2 4 2
2 3 1
1 4 3
0 2 2
3 3 4
4 1 3
4 1 1
4 0 0
3 1 4
10 8
2 2 2
0 1 0
1 1 2
2 1 2
0 1 1
0 2 0
2 1 1
0 2 1
1 1 1
1 0 1
10 8
1 1 1
2 0 1
1 2 2
3 3 1
1 2 1
3 0 1
2 3 3
0 0 2
2 1 1
3 3 3
10 4
3 1 0
0 3 2
1 0 1
2 3 3
0 3 1
2 2 0
1 2 1
0 1 3
1 2 0
1 1 0
10 2
0 2 1
5 3 4
1 0 0
0 2 0
0 1 2
1 3 5
5 2 1
2 0 2
0 4 4
5 1 5
10 4
0 0 0
1 0 2
1 1 1
2 2 0
1 1 2
2 2 2
0 0 1
0 2 0
2 1 0
0 2 1
10 7
3 2 1
1 4 2
3 0 0
0 0 1
1 1 4
0 1 4
0 4 1
1 0 3
2 4 0
2 0 2
10 2
1 0 0
2 2 1
1 1 2
2 0 2
1 2 1
2 2 2
0 2 2
0 1 1
0 0 2
0 0 0
10 4
3 3 2
1 2 3
3 2 1
2 0 1
0 1 1
3 3 1
1 0 0
0 0 1
1 1 0
2 3 1
10 9
0 0 3
3 1 0
1 1 2
3 3 2
2 1 3
3 2 0
2 2 0
0 1 2
2 1 1
2 1 2
10 5
2 4 4
4 2 1
4 4 2
2 2 3
4 3 4
2 0 4
4 3 1
4 3 2
3 1 2
3 1 0
10 4
1 2 2
1 2 1
0 1 1
2 2 2
0 0 2
0 1 2
1 0 2
1 2 0
2 1 0
2 0 1
10 5
3 1 2
4 3 2
1 2 1
3 1 0
0 1 2
2 4 1
4 1 0
3 4 3
3 0 2
3 4 2
10 5
1 1 1
0 0 0
2 2 2
2 1 0
2 1 2
2 2 0
2 0 2
0 2 2
1 2 2
0 0 1
10 3
1 0 3
2 1 2
2 2 4
3 0 4
0 1 4
3 1 4
3 4 4
0 0 3
4 2 3
0 2 2
10 9
0 0 0
2 1 0
2 1 2
0 2 0
0 1 2
1 2 1
1 2 2
2 0 2
0 0 2
1 2 0
10 4
3 0 4
3 2 0
4 2 4
0 5 0
0 3 5
4 4 0
4 5 0
2 2 2
4 3 5
0 2 5
10 4
2 1 0
0 1 2
1 1 0
1 2 0
1 2 1
1 1 2
2 1 2
2 0 1
0 2 0
2 2 1
10 9
2 1 0
0 0 2
1 0 0
1 2 0
1 0 1
2 2 1
0 2 2
1 0 2
2 0 2
0 1 2
10 3
2 1 1
3 2 2
1 2 0
2 1 0
0 4 0
2 3 1
1 3 1
0 2 4
4 0 0
4 0 2
10 3
3 1 1
1 1 2
1 1 1
2 2 3
0 3 1
2 1 1
2 3 0
1 0 2
0 3 3
3 3 3
10 8
1 1 0
1 0 0
1 1 1
1 2 2
0 1 2
0 0 0
0 1 0
0 2 2
1 2 0
2 0 1
10 4
0 2 1
1 0 0
0 0 0
2 2 1
2 0 0
0 1 2
1 2 1
1 1 2
1 2 2
2 0 2
10 6
0 3 4
1 0 0
1 2 4
4 0 0
2 3 0
4 4 0
2 1 1
0 3 1
4 2 3
3 2 1
10 9
2 1 2
2 1 0
3 0 3
0 3 0
1 2 0
3 3 0
3 1 3
3 2 2
0 1 1
0 1 3
10 9
1 0 2
1 1 0
0 1 0
2 0 2
2 2 2
0 2 1
2 1 2
0 0 1
2 2 0
2 0 1
10 9
1 4 2
2 4 0
0 2 0
5 0 4
2 1 1
1 4 0
3 1 0
2 4 5
2 2 1
0 0 2
10 9
2 2 0
2 0 1
1 0 1
1 2 2
1 1 1
2 2 1
0 2 2
1 0 2
0 2 1
2 0 0
10 4
0 4 3
4 0 0
3 0 1
2 3 1
4 1 4
3 2 0
4 3 2
1 0 4
0 3 4
1 0 3
10 5
2 2 1
0 2 1
1 2 3
1 1 2
3 1 1
2 3 3
3 0 3
1 3 2
3 3 2
1 1 1
10 9
0 2 2
3 2 3
3 3 3
2 1 0
2 3 0
1 2 1
0 3 1
3 0 3
1 1 0
0 0 0
10 3
3 0 2
0 2 4
0 1 2
3 0 1
3 4 2
3 4 0
1 3 4
1 4 0
2 2 1
4 1 1
10 3
0 1 2
1 0 0
1 0 2
0 2 1
2 0 0
1 0 1
2 2 1
1 1 0
0 2 0
2 0 2
10 2
0 2 1
1 1 1
1 1 2
0 2 2
0 0 0
2 0 0
2 2 1
0 2 0
0 1 1
2 0 1
10 8
1 1 3
1 0 1
2 0 0
3 1 2
1 0 2
3 0 2
1 2 2
0 1 1
2 3 2
2 1 1
10 9
1 4 0
3 2 1
1 0 0
1 0 4
3 1 2
4 1 2
0 0 3
2 3 3
2 0 1
2 4 1
10 4
2 2 0
1 0 1
0 0 0
0 0 2
0 2 2
0 2 0
2 1 1
0 1 1
2 2 2
1 1 2
10 9
1 3 3
2 3 2
3 1 3
0 2 1
1 3 2
1 1 3
0 1 3
3 2 3
1 3 0
2 1 0
10 5
1 2 2
0 0 1
3 2 3
1 0 2
3 0 1
2 2 1
0 3 1
3 1 4
2 1 4
2 0 1
10 2
0 0 0
1 0 2
2 0 2
1 0 1
1 2 0
1 1 1
1 2 2
0 0 1
2 1 2
2 2 0
10 6
2 0 2
5 1 3
3 5 3
5 4 4
3 5 5
5 2 5
5 3 0
1 1 4
4 0 2
4 2 0
10 4
3 0 1
0 2 0
0 3 4
3 3 4
3 4 4
2 2 3
0 2 1
1 1 3
4 0 3
4 0 0
10 8
2 0 2
1 2 2
2 1 2
0 2 0
1 1 0
2 0 1
1 2 1
0 2 1
0 0 2
2 0 0
10 2
1 1 1
2 1 2
2 2 2
2 2 1
0 2 1
1 2 1
2 0 0
2 1 0
1 0 2
0 2 0
10 2
2 3 0
3 2 3
0 1 1
1 2 1
2 0 3
0 3 3
0 1 3
3 2 1
0 0 0
3 3 3
10 3
2 1 3
3 1 3
3 0 2
0 3 0
1 0 2
2 1 0
1 1 0
2 3 2
0 0 1
1 2 2
10 2
2 3 2
1 1 2
0 1 0
0 2 3
2 2 0
0 3 2
2 1 0
1 0 3
1 1 0
1 0 2
10 7
4 3 0
1 0 0
4 0 2
0 4 2
0 2 2
1 2 3
3 0 0
1 0 3
0 3 4
1 0 4
10 4
4 4 4
1 2 0
0 3 1
3 2 4
3 4 4
4 3 2
0 4 4
0 3 0
4 0 4
1 0 4
10 6
2 0 2
1 1 0
2 2 0
2 2 2
1 2 1
0 2 1
1 0 1
1 1 2
0 0 0
2 0 1
10 4
1 0 2
1 1 0
0 2 2
1 0 1
0 0 2
0 2 0
2 1 2
2 0 2
0 1 0
2 0 1
10 9
2 1 1
0 1 0
0 2 0
0 2 1
1 1 0
2 1 2
2 2 0
0 1 1
2 0 1
2 1 0
10 5
1 2 1
0 3 1
0 0 1
1 1 3
3 2 0
3 1 0
1 1 1
3 1 1
0 2 2
2 3 1
10 6
1 0 4
3 4 2
4 2 4
4 4 3
1 4 3
2 0 0
1 2 2
0 1 1
2 3 4
0 2 2
10 6
2 2 0
1 0 2
1 2 1
0 0 1
0 2 1
1 1 1
2 2 1
0 0 2
2 0 2
1 1 2
10 7
0 3 1
2 2 3
1 3 3
1 3 2
3 3 0
1 0 3
1 3 0
0 3 2
3 2 3
0 0 3
10 8
5 5 4
0 4 5
4 4 5
1 4 1
4 0 4
3 5 3
0 1 1
4 3 5
2 1 4
3 3 5
10 7
0 1 0
2 0 1
2 1 0
2 2 0
0 2 0
0 0 2
2 2 1
1 1 0
1 2 0
0 1 1
10 4
2 1 0
0 1 0
0 1 2
0 2 2
1 2 2
1 2 0
0 0 2
2 1 2
2 2 2
0 0 1
10 7
1 1 0
0 2 2
1 3 1
3 0 3
2 4 0
2 0 4
2 2 4
1 3 4
3 1 3
3 2 2
10 8
3 0 3
3 2 2
2 1 3
1 1 0
1 2 3
0 1 2
2 3 1
3 3 2
2 3 3
2 3 2
10 4
0 0 5
4 0 3
4 2 2
4 3 1
4 0 0
3 3 5
3 2 1
3 5 2
5 2 2
2 0 3
10 8
2 2 1
3 2 3
0 3 0
3 3 2
1 3 2
2 0 0
2 3 0
0 3 2
0 2 3
0 0 0
10 8
1 2 2
0 2 2
2 1 1
0 2 1
1 1 1
1 0 1
1 1 0
2 0 1
1 1 2
0 1 2
10 9
1 1 0
1 2 1
2 0 2
0 2 2
0 2 0
1 0 1
2 2 1
2 2 2
0 0 1
2 0 1
10 5
2 0 0
1 0 0
2 0 2
0 1 0
0 2 2
1 0 2
1 1 2
2 1 0
0 0 2
1 0 1
10 2
4 4 5
3 5 3
4 2 0
0 1 3
2 5 2
0 0 0
4 4 0
2 5 5
5 2 5
4 5 1
10 5
0 2 2
3 1 0
0 0 1
2 0 0
2 1 3
1 1 1
2 2 2
0 3 2
0 3 0
0 1 2
10 2
2 0 5
3 1 5
3 2 5
1 3 5
4 2 3
1 2 2
2 0 4
4 4 0
3 5 1
5 3 4
10 7
1 2 2
2 2 0
0 2 2
1 2 1
1 1 1
0 1 1
0 1 2
0 2 0
1 0 0
2 1 1
10 6
3 2 3
3 3 2
4 1 0
3 1 2
1 2 4
1 3 1
0 4 4
0 3 1
3 1 1
2 0 2
10 9
0 3 2
0 2 0
2 0 0
0 2 1
3 2 0
1 0 1
2 3 0
3 0 2
0 0 1
2 1 2
10 5
2 0 5
4 4 2
4 1 3
0 0 0
2 5 2
5 1 5
2 5 0
4 5 4
1 3 0
0 0 2
10 6
4 0 4
1 2 0
4 2 3
2 4 2
0 4 1
4 4 2
4 1 4
3 0 1
1 1 1
2 2 2
10 5
2 3 2
0 2 3
3 1 0
0 3 1
3 1 1
0 0 2
1 0 1
1 1 0
2 3 0
1 1 1
10 2
0 4 0
3 0 4
1 2 0
1 1 4
1 0 1
0 4 2
2 4 4
3 4 4
1 4 0
2 1 0
10 6
1 0 2
2 2 0
0 1 2
2 0 0
0 1 0
1 1 2
1 1 1
0 2 2
0 0 2
1 2 1
10 6
1 0 2
2 2 0
2 0 1
0 1 0
2 2 2
0 0 1
2 2 1
2 1 2
2 0 0
1 2 0
10 5
2 5 3
4 1 1
2 5 2
4 4 1
2 0 1
5 4 3
2 1 3
0 1 2
0 5 1
2 2 4
10 3
2 5 2
5 5 2
2 1 3
1 4 1
4 5 1
1 2 2
2 2 1
5 0 1
2 2 2
5 1 1
10 3
2 1 2
1 0 1
1 2 1
1 1 1
1 0 2
1 0 0
0 1 2
0 0 1
2 2 1
1 1 2
10 4
3 5 4
2 4 2
5 2 0
1 3 0
2 2 5
5 2 1
5 2 3
3 2 2
1 0 3
0 0 5
10 5
1 0 5
1 3 4
5 4 3
4 0 0
1 0 3
3 4 4
2 2 5
5 5 1
4 4 3
5 5 4
10 8
4 4 0
4 5 0
1 2 4
0 4 0
0 5 3
3 1 4
3 2 4
2 2 1
1 2 2
5 1 3
10 3
2 3 4
2 0 1
5 5 5
0 5 0
2 2 4
1 3 3
3 3 5
5 2 2
4 5 0
0 1 3
10 9
0 2 3
1 1 2
1 0 1
1 0 3
3 0 0
2 1 1
2 3 0
2 1 3
3 2 2
1 2 2
10 6
4 1 5
2 0 3
2 0 5
1 4 0
0 0 2
3 2 2
3 5 4
5 1 5
5 3 4
5 0 4
10 4
3 0 0
2 1 0
0 0 3
1 0 0
3 1 2
3 2 3
3 2 1
2 3 1
2 2 1
0 0 2
10 8
3 3 1
0 2 3
3 1 3
3 0 1
1 3 0
0 0 1
1 0 1
1 1 1
1 2 3
0 0 3
10 9
1 1 0
0 1 1
2 2 0
3 0 1
3 3 1
3 0 3
3 2 2
1 2 1
2 0 3
0 2 1
10 5
4 4 4
1 2 2
2 3 4
0 1 2
2 4 2
3 3 0
2 1 2
2 2 3
3 1 2
1 1 2
10 2
0 2 0
0 2 2
2 0 1
3 1 3
0 1 3
1 0 2
1 0 3
0 1 1
3 2 3
2 1 1
10 9
0 0 1
0 1 0
1 0 1
2 1 2
2 1 0
1 0 0
0 2 2
0 0 0
0 2 0
1 1 2
10 3
1 0 0
2 2 2
2 1 2
1 1 0
0 2 0
0 1 2
2 2 1
2 1 0
0 1 0
2 2 0
10 5
1 4 0
3 2 1
0 2 0
4 3 3
1 1 3
1 2 0
3 1 4
4 3 4
3 2 3
2 0 2
10 7
0 2 1
3 1 1
3 4 1
4 4 3
2 2 1
0 4 1
3 2 0
3 1 4
4 4 1
2 2 0
10 2
1 0 2
0 0 0
1 1 0
2 1 0
1 2 0
0 2 1
1 1 1
2 1 1
0 0 2
2 1 2
10 4
1 4 4
2 1 3
2 0 1
0 1 4
2 0 2
1 3 3
1 1 4
3 2 2
2 3 1
4 1 0
10 8
2 3 2
4 4 4
3 2 4
3 1 3
4 3 4
0 2 0
1 2 4
2 4 4
0 2 2
0 4 4
10 6
1 4 4
2 2 1
0 0 2
0 1 4
3 3 4
0 5 1
4 3 5
3 3 2
4 3 3
2 2 3
10 8
4 2 3
1 1 3
4 4 4
0 5 1
5 3 1
4 3 2
1 1 1
0 0 1
0 1 1
5 0 5
10 9
1 0 1
1 3 4
4 1 1
1 4 2
1 4 0
4 3 1
3 1 4
3 2 2
2 2 3
2 1 3
10 2
1 3 2
5 2 0
2 2 0
0 5 0
0 4 1
0 4 2
3 1 5
3 4 0
3 4 4
4 5 4
10 3
5 1 2
3 3 4
4 2 0
4 2 5
4 0 3
5 1 0
1 1 5
4 2 4
3 5 1
2 2 1
10 5
1 3 3
3 0 2
2 5 4
0 3 5
5 3 5
4 5 5
0 5 2
3 3 3
2 2 1
4 4 5
10 8
4 1 4
2 4 1
4 3 2
1 3 1
3 0 4
4 0 2
3 1 1
2 1 3
0 3 0
0 1 1
10 8
0 0 5
3 4 2
0 1 0
3 2 2
0 0 4
0 5 3
3 4 3
4 5 5
3 2 0
0 0 2
10 4
2 2 2
3 3 1
1 1 0
2 3 1
0 3 1
3 1 2
1 3 2
3 1 1
1 0 2
3 3 0
10 8
0 0 2
5 4 3
5 1 4
5 5 0
3 4 5
2 1 3
4 4 1
4 0 2
5 2 1
2 5 0
10 4
1 3 3
0 3 3
3 1 4
4 2 2
3 1 3
2 4 1
0 2 4
2 3 3
3 2 0
0 2 2
10 3
4 3 1
4 3 2
1 1 4
0 1 3
1 3 0
0 3 3
1 0 2
0 0 3
0 4 0
4 4 3
10 2
1 2 1
1 2 0
0 0 0
1 0 1
0 1 0
2 0 0
0 2 0
2 2 0
1 1 2
2 0 1
10 7
0 0 3
1 2 1
0 3 3
3 0 2
1 0 0
3 0 0
2 2 3
3 3 2
1 3 3
0 2 1
10 4
0 0 1
2 0 2
0 2 2
1 2 2
0 1 0
1 0 0
2 1 1
2 2 2
0 2 0
1 1 0
10 7
1 1 1
2 1 1
1 1 0
1 2 1
2 2 1
2 0 0
0 1 0
2 0 1
0 2 2
2 2 0
10 3
2 3 2
3 2 1
3 0 3
0 1 1
3 1 1
1 0 3
3 1 0
3 1 2
0 2 3
0 0 3
10 7
2 2 4
1 2 5
5 2 4
2 0 1
5 0 1
4 4 4
2 2 3
3 1 3
1 2 1
1 2 2
10 2
1 2 0
1 0 0
1 1 2
2 0 1
2 2 2
1 0 2
0 1 0
1 1 0
0 1 2
0 2 2
10 4
0 3 1
2 1 2
1 2 1
3 2 1
2 3 0
1 1 2
1 3 1
3 1 1
3 0 1
1 2 0
10 6
1 0 3
1 4 0
2 3 2
4 1 1
1 3 0
4 2 4
0 2 4
2 4 0
4 2 3
0 1 3
10 7
3 4 2
0 2 3
0 0 0
0 4 2
3 4 1
2 4 3
0 2 4
3 1 0
3 3 0
0 3 2
10 2
1 1 2
2 1 0
0 1 2
0 2 1
2 0 2
2 2 1
2 1 2
2 2 2
2 0 0
2 2 0
10 6
3 4 0
1 2 4
3 2 3
3 1 1
0 1 1
0 3 3
0 4 1
3 0 0
2 4 0
3 3 4
10 4
2 3 2
4 0 3
2 4 2
4 1 2
0 2 1
1 2 0
4 2 0
0 0 4
3 2 4
2 3 1
10 8
1 2 3
2 1 2
1 2 0
1 0 1
3 3 1
0 3 3
0 2 3
3 1 2
3 3 0
0 2 0
10 5
0 4 3
2 1 3
4 3 2
0 4 2
2 4 1
0 2 2
1 0 0
4 4 4
3 3 3
0 2 3
10 4
0 0 2
2 3 3
1 3 1
1 0 0
0 1 2
3 3 2
0 1 1
1 1 1
3 0 2
0 3 3
10 3
0 1 0
1 2 2
1 3 1
1 1 3
1 3 2
1 0 0
2 3 3
2 1 3
3 1 0
1 3 3
10 3
2 0 2
2 2 2
2 0 1
0 2 0
1 1 1
1 2 1
0 2 2
0 0 1
1 2 2
0 2 1
10 3
2 0 0
0 2 1
2 1 2
0 0 1
1 1 1
0 1 1
0 0 2
2 0 2
1 2 0
1 0 2
10 4
1 2 1
0 2 0
2 1 1
0 1 0
0 1 2
0 2 2
0 0 2
1 0 2
1 0 1
1 1 0
10 9
1 1 2
0 2 2
2 1 2
2 0 0
1 0 1
1 1 0
0 0 2
1 2 1
0 1 2
0 2 0
10 3
2 1 3
2 3 2
0 0 3
3 1 2
3 2 1
1 0 0
3 1 1
1 2 1
3 2 3
1 0 2
10 7
0 2 2
1 0 1
2 1 2
0 1 0
2 1 0
2 2 0
1 0 2
1 2 2
0 1 2
2 2 2
10 8
3 2 3
1 1 2
0 2 2
5 3 0
2 5 2
1 4 2
3 0 2
3 5 2
1 1 5
2 1 1
10 4
1 2 1
2 2 4
1 2 2
0 1 3
2 0 2
3 2 3
2 4 3
4 2 1
3 4 1
3 3 2
10 3
1 2 3
1 2 1
3 3 3
1 3 0
0 2 0
2 3 0
3 0 0
3 0 2
3 3 2
2 0 3
10 9
2 3 3
0 1 0
2 2 3
3 1 0
3 3 1
1 2 3
2 0 0
1 1 2
1 3 2
2 2 2
10 4
4 3 1
5 4 1
0 2 1
4 1 5
4 3 3
5 5 3
4 4 3
1 5 1
3 0 5
5 2 2
10 2
5 0 5
4 2 3
1 3 1
3 1 5
3 5 1
5 4 5
2 3 4
3 5 0
2 3 2
3 1 1
10 4
4 4 2
3 2 2
2 0 3
4 4 4
0 0 5
5 0 2
2 3 5
2 0 1
1 3 3
2 4 1
10 4
4 2 1
1 1 3
3 1 2
0 1 3
3 2 2
3 0 2
4 2 2
0 4 4
3 0 1
0 4 0
10 9
3 0 1
0 3 3
0 1 3
1 1 2
2 2 1
1 1 1
2 1 2
0 1 2
2 3 1
1 3 1
10 8
2 0 2
0 1 0
1 1 0
1 1 2
1 2 1
2 2 1
2 1 0
2 2 0
1 2 0
1 0 1
10 9
2 3 0
4 2 0
1 2 3
0 1 0
1 4 1
1 2 4
4 1 2
3 2 0
3 3 1
4 0 1
10 8
4 0 2
0 4 1
0 2 0
4 4 4
0 4 2
1 0 0
4 2 4
3 4 2
3 3 3
2 3 1
10 4
2 0 1
0 3 0
0 2 3
2 1 1
3 3 2
0 1 3
2 2 3
3 1 3
0 3 2
1 0 1
10 4
1 1 0
0 0 0
0 2 1
2 2 2
0 1 2
1 0 1
2 0 0
0 0 1
2 0 2
0 2 0
10 9
3 2 0
0 1 3
0 0 3
3 2 3
0 2 1
3 1 1
1 3 2
1 3 0
2 2 1
3 3 0
10 6
4 3 1
2 3 0
0 2 3
0 0 2
3 4 3
0 2 1
1 1 0
3 4 0
4 2 1
3 3 3
10 9
0 2 2
2 2 2
0 2 1
1 0 2
0 1 0
1 0 0
2 2 0
0 0 0
0 0 2
1 0 1
10 6
2 0 2
4 2 4
3 2 0
0 4 1
1 2 4
1 0 3
0 2 0
0 4 2
4 3 2
3 2 3
10 5
4 1 2
0 1 2
2 3 3
3 0 3
4 2 1
2 3 4
3 3 0
0 4 1
2 4 3
2 0 4
10 6
1 1 1
0 1 0
0 1 1
2 1 0
1 2 0
0 2 2
1 1 0
0 2 1
1 2 2
2 2 2
10 5
2 1 0
0 1 0
0 1 1
1 1 1
1 1 2
1 1 0
1 0 2
0 0 2
2 1 1
2 2 2
10 2
0 2 0
0 1 0
0 0 0
0 1 1
3 1 3
2 1 3
3 2 1
2 0 2
1 2 2
0 1 2
10 6
0 3 1
2 3 3
2 1 1
3 4 2
1 3 3
0 4 4
2 4 0
0 3 3
3 0 1
4 4 3
10 4
0 0 0
1 1 1
2 1 0
0 2 1
0 0 1
0 1 0
2 0 2
1 1 0
2 0 0
1 2 0
10 9
3 3 0
0 3 1
3 4 2
2 1 1
4 1 2
1 1 4
2 3 3
3 4 1
0 1 1
4 4 4
10 8
2 3 1
0 3 1
3 2 2
0 0 1
2 0 0
1 1 2
0 2 1
3 3 0
3 1 3
0 2 3
10 4
2 1 1
2 2 1
0 1 2
3 0 2
0 0 2
3 3 1
3 1 3
2 3 2
2 3 0
1 2 2
10 6
3 3 0
1 3 4
4 1 1
0 0 3
3 1 0
1 2 3
2 1 4
4 4 2
2 3 0
4 1 0
10 4
2 4 5
1 5 4
5 3 2
2 5 2
2 1 4
3 5 5
2 3 4
3 2 3
5 3 3
0 0 0
10 2
0 0 2
4 2 0
4 0 4
4 0 0
2 1 1
1 3 3
4 3 2
4 4 3
0 2 1
1 2 1
10 8
4 0 2
0 0 3
0 3 4
2 3 4
0 1 3
0 3 2
2 2 1
3 2 4
1 1 1
3 3 1
10 3
0 3 3
1 3 2
0 3 1
2 4 4
2 1 2
1 4 2
0 0 0
4 1 1
1 2 0
3 0 2
10 4
2 3 0
3 2 2
1 2 0
4 2 2
1 2 3
4 4 1
0 3 1
4 0 1
3 3 1
4 0 2
10 4
1 3 3
3 2 1
2 0 2
0 3 3
3 3 2
2 1 0
2 3 4
2 2 2
4 3 1
1 1 4
10 7
5 2 3
0 0 3
3 4 0
4 5 3
3 1 5
4 1 2
4 3 0
3 4 3
3 2 0
2 5 1
10 7
3 1 1
0 4 3
3 0 2
4 3 1
0 0 3
1 1 3
0 3 2
3 0 0
2 2 3
0 3 1
10 7
0 2 0
1 1 1
3 2 2
3 2 0
1 0 3
2 2 0
2 0 0
1 1 3
1 0 0
0 2 1
10 2
2 0 4
3 4 2
2 4 0
2 1 3
5 3 0
0 5 4
2 0 3
1 2 3
0 5 5
0 4 3
10 4
4 0 4
0 5 5
4 2 0
2 5 4
4 5 2
2 3 5
1 4 0
2 0 3
1 3 3
1 3 0
10 7
5 2 5
4 4 2
4 1 2
3 5 2
0 3 4
3 5 3
2 4 5
4 2 2
3 5 0
4 3 2
10 7
2 5 1
5 1 1
0 4 3
1 2 1
2 2 1
0 3 5
5 1 3
3 3 3
3 2 2
1 4 1
10 5
3 3 2
2 4 1
3 2 4
4 1 0
3 0 2
1 3 2
0 3 1
3 1 3
0 3 3
0 4 1
10 5
1 2 2
3 5 5
4 0 3
1 3 5
1 2 3
1 2 1
4 0 1
3 5 1
0 0 5
0 0 4
10 3
0 1 0
5 3 3
2 5 1
5 3 2
2 3 3
5 2 0
5 1 0
0 4 1
1 5 4
4 5 1
10 4
1 1 1
1 2 1
0 2 0
1 2 0
1 1 2
1 2 2
1 0 2
0 0 1
2 0 0
2 2 1
10 8
1 1 3
3 3 0
0 0 0
3 2 0
3 4 3
1 2 3
2 4 0
3 3 2
0 0 3
0 0 2
10 6
2 1 1
0 0 2
1 2 1
0 2 0
1 0 2
0 1 0
0 1 1
2 1 2
2 2 0
0 2 2
10 2
3 3 3
2 3 2
2 3 3
0 1 3
0 1 1
3 3 1
2 0 3
0 0 1
3 2 1
0 2 3
10 8
0 2 1
0 4 3
1 3 3
2 4 1
1 1 4
0 3 3
5 3 4
4 4 5
0 0 3
3 1 0
10 7
1 4 5
0 1 1
3 2 4
2 1 3
0 4 5
2 5 2
1 4 3
0 3 3
3 3 0
4 0 1
10 3
3 0 1
1 2 1
3 3 2
2 2 0
0 3 1
0 3 3
3 0 2
2 3 2
0 1 3
0 0 3
10 8
5 5 5
4 3 2
3 2 3
1 1 1
1 1 5
5 0 4
4 4 5
2 2 4
0 3 4
2 3 2
10 4
0 3 2
2 3 1
3 2 1
0 1 1
1 3 2
0 4 3
1 3 0
4 4 1
3 1 4
0 1 4
10 5
2 1 2
4 0 3
3 3 1
0 1 2
0 3 0
1 1 1
0 0 0
0 0 2
1 1 4
4 1 4
10 6
3 1 1
1 4 1
0 5 3
4 5 4
5 3 3
1 1 3
2 1 3
5 4 1
5 3 5
1 4 0
10 8
1 0 1
2 1 2
0 0 1
0 1 0
2 2 2
2 0 2
1 1 0
1 2 0
1 2 2
0 0 0
10 5
0 4 1
0 4 0
3 2 2
4 1 4
4 3 3
3 1 3
2 0 3
0 1 3
2 1 4
2 3 2
10 2
0 2 3
2 0 2
4 5 4
2 3 2
0 5 5
2 5 5
2 1 3
3 3 1
5 4 5
1 5 1
10 9
4 4 3
4 2 1
4 2 2
0 4 4
2 1 1
2 2 1
1 1 0
1 2 4
3 1 0
0 1 0
10 8
5 0 5
3 2 4
3 1 2
0 4 4
5 4 2
1 0 4
4 5 4
3 0 0
4 2 1
4 0 2
10 4
1 3 2
2 3 0
3 1 3
1 0 1
1 1 1
3 3 1
2 1 3
0 3 0
3 1 1
2 3 3
10 3
3 0 2
4 2 0
0 1 4
4 1 0
3 2 0
3 1 3
0 0 0
1 0 3
2 3 4
0 4 4
10 3
3 2 0
2 1 1
1 1 0
0 0 1
0 2 3
1 0 3
3 3 2
3 2 3
2 0 0
3 0 0
10 5
1 2 0
1 1 1
1 2 2
0 1 2
1 2 1
1 1 2
0 2 0
0 0 2
1 1 0
0 1 1
10 2
3 1 1
5 1 5
5 4 5
0 0 4
1 5 2
5 5 0
2 2 1
0 1 5
1 0 0
2 3 5
10 9
1 1 1
3 3 3
2 1 3
0 1 0
0 3 2
2 0 2
0 2 2
0 3 1
1 0 3
3 1 1
10 7
1 3 0
0 0 0
2 3 1
0 2 3
0 0 3
2 1 1
1 0 0
2 0 1
2 3 2
1 0 1
10 2
3 1 0
1 0 3
3 1 3
4 2 3
3 4 4
4 4 4
3 3 1
2 4 1
4 0 1
4 0 4
10 8
3 3 3
1 1 2
0 2 2
2 1 3
3 2 0
1 1 3
2 2 1
0 3 0
3 1 2
3 2 3
10 9
0 0 0
0 0 2
1 2 2
0 1 0
0 0 1
1 2 1
2 1 0
2 0 0
0 1 1
2 2 2
10 2
3 5 0
0 4 1
0 2 0
4 5 0
1 0 5
4 4 5
0 3 3
3 0 5
5 5 0
4 5 4
10 7
0 2 1
2 2 1
1 1 0
1 2 2
0 2 2
0 1 1
3 0 3
3 3 2
2 3 3
0 0 0
10 6
0 2 0
2 2 0
0 1 0
0 0 0
2 1 1
1 1 0
1 2 2
2 1 0
0 2 1
2 0 0
10 9
3 1 2
1 1 3
1 3 0
0 1 2
2 2 0
1 0 3
1 3 2
3 3 1
1 1 1
0 2 3
10 8
1 2 2
0 1 4
3 3 1
3 2 3
1 0 1
4 2 3
3 0 0
2 1 3
4 2 2
4 2 0
10 8
0 0 0
0 1 1
1 0 1
1 2 1
1 1 0
1 2 2
2 0 1
0 1 0
1 2 0
0 2 2
10 4
1 1 1
0 1 0
1 2 0
2 0 2
1 2 2
0 0 2
1 1 0
0 1 1
0 2 2
1 0 1
10 8
3 2 2
2 2 2
2 0 2
3 0 3
2 3 1
0 0 2
2 3 2
0 0 3
0 0 1
1 2 1
10 9
2 2 2
2 1 0
2 0 1
2 2 1
2 1 2
2 1 1
2 0 0
0 1 0
1 0 2
0 0 1
10 9
0 2 1
2 1 1
2 0 1
2 2 1
1 0 0
0 1 2
0 2 2
1 0 2
0 1 0
0 0 2
10 6
4 0 0
1 2 4
4 3 3
4 4 3
2 3 0
4 0 2
4 4 1
1 1 3
2 2 1
2 4 4
10 3
1 2 2
3 1 3
1 1 1
0 2 1
3 3 0
2 0 0
1 0 3
3 2 2
3 3 3
1 3 2
10 6
3 4 0
3 1 4
1 4 1
0 0 4
3 3 0
0 3 2
4 4 1
4 1 4
3 1 2
4 1 1
10 8
1 1 2
0 4 1
2 4 1
2 1 1
0 2 1
2 4 2
4 0 0
0 3 0
1 4 0
2 2 0
10 2
3 3 4
1 2 0
4 0 3
1 4 3
2 0 4
4 1 4
2 1 0
0 1 3
0 0 3
0 0 1
10 3
3 2 1
1 2 4
3 1 4
3 0 3
0 3 0
4 1 2
1 2 1
2 3 4
1 3 1
0 2 1
10 2
4 1 5
4 0 2
2 0 2
4 1 3
2 2 3
3 2 0
0 4 1
2 4 0
0 4 0
4 2 1
10 3
2 1 0
1 0 2
2 2 1
1 1 1
1 1 0
1 2 1
2 2 2
2 1 1
0 1 2
2 0 1
10 6
2 2 2
3 4 2
3 1 4
3 0 3
1 3 0
0 3 2
4 2 3
1 4 2
1 3 4
1 2 4
10 6
1 4 4
3 4 4
2 3 3
0 3 4
0 2 3
2 4 2
1 0 0
2 3 2
4 1 2
0 2 2
10 8
2 1 3
0 4 1
0 0 2
0 1 3
1 0 0
1 1 2
1 3 1
0 3 0
2 0 4
4 2 2
10 7
1 3 2
3 1 2
3 3 1
0 0 3
3 2 2
2 1 0
0 1 0
2 2 2
0 2 3
2 2 1
10 4
1 4 2
2 4 2
0 3 4
3 1 3
3 2 2
1 0 3
1 4 1
4 0 4
3 2 3
3 0 0
10 3
3 2 1
0 2 0
0 3 3
1 1 0
0 0 1
0 0 3
1 1 2
0 2 2
3 0 0
1 0 0
10 6
2 1 0
0 0 1
0 1 2
1 2 1
1 0 1
0 1 0
1 0 2
2 1 2
0 2 0
0 2 1
10 7
5 0 0
0 2 0
5 4 0
0 2 1
4 1 3
4 0 0
0 3 5
2 4 3
1 3 3
3 3 5
10 8
2 1 2
2 1 0
1 1 1
1 2 0
1 1 0
2 2 1
0 2 0
1 2 2
2 1 1
1 0 0
10 6
2 4 2
2 2 1
4 2 3
4 0 2
4 1 4
4 0 1
3 4 1
4 2 0
1 1 0
2 4 1
10 4
2 2 1
3 3 2
3 0 0
0 0 3
1 3 3
1 3 2
0 2 0
1 1 2
2 1 2
0 3 3
10 2
1 1 0
1 3 0
1 0 1
0 1 3
3 3 2
0 2 3
1 2 0
3 1 1
3 2 3
3 0 2
10 3
4 2 0
3 3 2
4 3 1
2 0 1
4 3 2
4 1 1
0 1 0
0 4 3
3 3 3
4 2 4
10 4
2 0 2
1 1 0
2 1 2
2 2 1
1 2 2
0 0 2
2 1 1
1 0 0
1 0 2
1 2 1
10 3
4 1 4
3 0 3
3 0 1
2 2 3
3 2 4
3 3 4
3 2 0
0 4 0
2 4 0
4 2 1
10 5
0 0 1
1 0 4
4 2 0
5 3 5
0 1 0
4 4 0
5 0 4
1 5 1
3 4 0
2 0 2
10 8
0 2 0
0 1 1
2 0 1
0 1 2
1 2 2
2 1 2
0 2 1
1 0 0
2 0 2
1 1 2
10 9
0 2 3
0 0 1
2 1 1
3 0 3
0 2 2
0 3 0
1 1 0
2 3 0
0 0 2
2 2 2
10 5
2 2 4
1 2 1
2 3 5
1 2 3
5 4 1
1 4 5
1 3 4
3 2 2
2 3 4
1 3 5
10 3
2 1 5
4 5 2
5 0 2
5 1 2
1 0 2
4 5 4
5 1 5
3 0 2
3 4 2
3 0 5
10 3
2 0 1
2 3 0
3 0 2
1 0 3
1 2 1
0 1 3
2 1 0
0 3 0
0 1 1
3 3 1
10 5
1 2 0
1 2 2
1 0 0
2 1 0
1 0 1
2 1 1
2 2 2
0 0 0
1 1 2
0 2 2
10 2
2 2 4
0 3 0
4 3 2
1 2 1
1 0 2
3 0 3
1 1 2
4 1 2
3 0 4
2 4 1
10 4
0 0 5
5 4 4
3 1 0
4 3 0
4 1 4
2 3 1
5 2 5
1 1 3
4 5 3
4 4 2
10 9
0 0 1
1 1 3
2 1 3
3 3 3
0 0 3
4 2 4
1 2 0
0 3 0
3 4 0
3 3 1
10 7
0 1 0
1 1 0
1 1 3
2 0 1
0 2 2
0 3 3
2 2 1
3 0 3
2 1 3
3 2 0
10 5
0 0 1
1 3 1
2 0 2
3 3 4
0 1 1
3 3 1
1 0 1
4 2 3
1 4 1
4 2 1
10 3
3 2 1
2 2 0
2 3 1
1 1 0
3 1 2
2 3 2
0 3 1
1 0 1
3 2 2
2 0 2
10 4
2 3 4
4 4 0
3 3 1
2 2 5
5 0 4
4 4 1
3 4 2
2 1 2
1 5 5
5 4 3
10 7
1 0 0
1 2 2
1 2 1
1 1 0
2 0 0
2 1 2
0 2 0
1 0 2
2 0 2
1 1 2
10 3
2 1 2
1 1 0
1 0 0
1 0 2
1 1 2
0 1 0
2 2 2
0 1 2
2 0 2
2 1 0
10 2
1 2 1
2 1 0
2 1 2
1 0 1
0 2 0
2 1 1
2 0 1
0 1 1
0 2 2
1 0 2
10 8
3 2 5
0 3 1
3 2 2
2 4 4
3 5 0
1 4 4
0 0 5
3 4 2
3 4 0
3 4 4
10 8
4 0 2
4 2 0
3 1 2
2 0 1
0 4 3
1 1 2
0 4 0
4 0 0
0 4 2
1 2 0
10 7
3 3 0
0 3 3
3 1 3
1 3 1
1 2 2
1 0 0
0 1 2
3 2 0
0 1 0
2 0 2
10 9
0 0 1
2 0 1
0 2 1
1 1 2
0 1 2
1 1 0
2 1 1
1 0 0
2 1 0
2 0 2
10 3
2 0 0
1 2 0
3 2 2
3 2 1
3 2 0
0 3 3
0 2 0
2 3 0
0 1 1
0 1 3
10 3
3 1 3
2 2 0
0 3 1
0 2 3
0 0 2
1 0 1
3 3 0
0 2 0
0 1 2
0 0 0
10 4
2 0 1
0 3 1
3 0 0
0 1 3
2 1 1
2 3 2
1 4 2
2 2 0
0 4 4
1 1 0
10 6
2 2 2
1 2 0
1 1 2
2 1 0
1 0 1
2 0 2
0 1 0
0 2 2
2 1 1
0 2 1
10 9
1 0 2
2 1 3
0 0 3
0 3 1
0 2 1
0 1 0
3 1 2
3 1 1
3 0 1
1 3 3
10 3
0 0 0
0 2 0
2 2 2
2 0 1
1 2 1
2 2 0
1 0 1
1 0 0
2 1 2
0 1 1
10 3
2 1 1
0 0 1
0 0 0
0 2 2
2 1 2
2 2 2
1 2 2
2 0 1
2 0 0
2 0 2
10 9
3 1 0
1 1 2
2 2 3
0 0 2
0 1 3
2 1 3
2 3 3
0 2 2
1 3 1
2 2 0
10 2
0 1 1
1 1 1
3 2 4
1 2 1
0 0 0
3 2 0
2 1 3
1 0 3
3 0 1
2 1 1
10 9
1 1 1
0 1 1
1 2 0
1 1 2
2 0 1
2 2 0
0 0 2
2 1 1
0 2 0
0 1 0
10 7
5 2 3
5 0 4
3 0 1
4 4 5
2 1 2
4 2 4
1 0 2
2 5 3
0 0 3
3 1 0
10 2
5 3 4
4 2 4
4 5 2
3 1 4
0 4 4
2 4 3
3 5 0
1 1 4
5 4 0
4 3 1
10 8
0 0 0
1 3 3
0 1 3
3 1 1
0 0 3
1 0 2
0 0 1
0 3 2
3 2 0
0 3 3
10 5
2 4 4
4 5 0
1 4 3
4 5 5
5 5 4
4 4 5
2 2 1
3 5 0
0 0 2
0 5 2
10 7
2 0 1
1 2 2
1 2 1
2 2 2
2 1 1
1 0 1
0 0 2
2 1 0
1 0 0
0 1 0
10 4
2 1 0
1 2 1
0 2 0
1 0 0
0 2 1
1 0 2
0 1 0
0 1 1
2 0 0
0 0 1
10 7
3 0 4
0 0 0
4 1 3
3 1 0
1 0 4
1 0 2
2 1 2
3 0 0
1 3 1
1 1 1
10 7
4 0 3
0 2 3
1 0 1
3 2 3
2 2 0
3 4 4
3 2 4
2 4 1
0 1 3
4 2 0
10 9
3 1 1
3 4 1
4 0 1
0 4 5
5 2 5
2 4 4
0 3 1
1 1 2
3 2 1
1 2 3
10 2
1 2 2
1 2 0
0 2 0
0 2 1
0 0 0
2 0 0
1 0 2
0 2 2
0 1 0
0 1 2
10 5
1 1 1
2 0 0
1 2 0
2 2 0
0 2 2
1 2 1
2 1 2
0 2 0
0 1 2
1 2 2
10 4
0 0 1
0 0 0
0 2 0
2 2 0
2 2 2
2 1 0
1 2 0
0 2 1
2 0 2
1 1 2
10 8
0 2 2
2 2 3
2 1 0
1 0 1
0 3 1
2 0 1
3 0 0
3 3 1
2 0 2
1 2 3
10 4
0 1 0
2 2 1
0 2 0
2 1 0
2 1 1
0 0 0
0 1 1
0 1 2
2 0 1
2 1 2
10 9
1 0 4
3 0 3
1 4 1
3 4 0
3 1 1
4 1 4
3 4 2
4 1 3
4 2 1
1 0 0
10 9
3 3 0
3 1 3
0 1 1
1 0 3
0 1 0
0 3 1
0 0 1
0 0 0
1 3 2
3 2 3
10 4
0 3 1
2 2 0
2 0 1
3 3 1
0 1 0
2 2 3
3 3 3
1 1 0
1 3 2
0 2 0
10 3
2 0 0
1 1 2
0 0 1
2 0 2
2 2 1
0 1 0
0 1 2
1 2 1
2 1 0
2 0 1
10 9
1 0 1
0 0 2
3 1 3
2 3 1
1 2 0
3 3 3
1 0 0
3 0 3
3 0 2
0 2 2
10 7
3 1 2
3 1 1
4 0 4
3 0 0
0 1 3
0 4 3
2 1 1
2 1 2
0 0 1
3 4 4
10 6
3 1 2
1 3 0
2 1 0
1 2 1
3 3 1
2 0 3
1 0 1
1 3 3
0 1 3
2 2 2
10 5
1 3 1
3 3 0
2 2 2
0 1 1
1 0 3
3 2 1
0 0 3
3 1 1
0 2 1
3 1 0
10 2
1 0 0
0 1 2
1 1 2
0 2 0
0 1 0
0 2 2
2 2 2
1 2 0
1 2 1
2 2 1
10 7
4 1 2
2 1 2
0 0 2
4 4 1
0 1 0
4 4 3
0 4 2
2 3 4
1 4 2
2 4 4
10 5
1 2 0
2 1 1
2 2 0
0 0 0
1 1 1
0 0 2
2 0 0
1 1 0
1 1 2
2 2 2
10 3
3 2 2
2 0 2
3 1 1
0 3 2
0 2 3
1 2 1
3 2 1
3 1 2
0 0 2
0 1 1
10 8
1 2 4
0 2 3
3 5 4
1 3 1
0 4 1
1 0 4
1 4 2
3 3 2
1 3 0
3 0 3
10 6
4 3 4
0 2 3
4 1 0
1 4 0
3 5 5
3 5 2
2 3 0
5 4 2
3 5 4
4 5 1
10 9
0 1 0
2 1 2
2 2 2
0 1 1
2 2 1
1 0 0
1 1 2
0 2 1
2 2 0
1 2 1
10 2
3 2 0
4 4 0
0 2 1
3 0 2
2 3 3
2 4 0
4 2 3
1 0 3
4 3 4
0 2 0
10 7
4 3 3
5 2 2
3 1 1
1 4 1
2 2 3
4 1 3
3 2 5
4 3 1
3 5 4
2 3 1
10 5
2 3 0
0 2 3
3 0 1
2 3 2
1 0 3
0 1 1
1 0 1
3 3 1
0 0 0
1 2 1
10 3
0 2 1
3 3 3
3 2 2
3 2 0
3 0 2
2 0 2
0 0 1
2 1 2
1 1 1
0 1 3
10 2
2 3 4
4 0 1
3 0 3
1 0 3
4 3 1
0 4 4
1 1 4
4 0 0
1 2 3
1 4 0
10 7
0 0 0
2 2 3
3 2 1
1 0 1
2 1 3
0 2 1
3 2 2
3 2 0
0 2 2
0 2 3
10 2
3 4 4
4 0 4
1 2 1
3 3 4
4 4 3
2 2 3
2 1 3
3 3 3
2 4 3
3 4 3
10 4
2 4 2
4 1 0
3 4 0
0 1 2
4 1 3
2 4 3
3 4 3
4 2 0
0 4 3
2 4 4
10 2
2 2 3
1 1 3
1 4 5
5 0 5
5 1 0
0 5 2
5 2 1
3 5 2
3 2 2
4 0 5
10 9
2 0 3
3 3 0
2 2 1
3 3 3
0 0 0
3 0 0
1 2 2
1 0 0
0 1 2
2 3 2
10 8
2 0 1
1 3 1
1 1 3
0 1 3
0 0 1
0 0 3
0 0 2
0 2 0
1 1 2
1 0 0
10 8
1 3 3
3 0 2
1 0 3
0 1 3
3 0 0
2 1 0
2 2 0
2 1 3
0 0 0
3 3 2
10 9
2 1 4
2 0 5
5 1 2
4 0 2
2 1 1
2 2 1
0 1 5
0 4 2
0 1 3
0 5 3
10 9
2 5 3
5 2 3
5 2 2
3 4 4
1 0 0
3 2 0
2 0 2
0 4 5
2 2 4
3 3 1
10 6
3 2 0
3 2 3
1 1 0
2 1 1
3 1 0
2 0 0
1 1 2
1 2 0
2 1 2
1 2 3
10 7
1 2 0
0 0 2
2 2 2
2 1 1
0 2 2
0 1 1
0 0 0
0 2 1
2 2 0
2 0 1
10 4
1 0 0
1 1 1
2 1 2
0 1 0
0 1 1
1 0 1
1 2 2
2 1 1
0 2 2
2 0 2
10 6
1 0 0
0 1 2
0 0 1
1 0 2
1 2 1
2 0 1
1 1 1
1 2 2
1 2 0
0 2 0
10 2
3 4 4
3 2 4
0 5 1
2 2 5
0 0 4
5 3 5
4 4 1
3 0 2
2 0 1
3 0 3
10 9
5 0 5
3 5 4
1 5 1
2 4 2
1 1 3
3 4 0
0 1 1
2 3 2
0 3 3
3 4 2
10 2
1 1 2
2 3 4
2 0 2
4 0 2
4 2 0
4 4 3
2 0 4
3 4 4
0 4 3
0 3 3
10 9
2 1 0
0 2 2
0 2 1
0 0 1
0 1 2
0 1 1
1 1 2
2 0 0
1 1 0
1 2 2
10 4
0 2 1
1 0 2
1 0 1
2 2 0
0 1 2
2 1 0
2 2 2
1 2 2
2 2 1
1 1 0
10 5
2 4 2
0 2 3
1 2 0
4 2 1
1 3 1
4 2 2
3 3 2
2 1 3
1 4 1
0 3 3
10 8
3 3 3
1 2 0
5 4 3
4 2 1
3 5 2
5 4 1
5 3 2
3 5 5
0 0 5
3 0 1
10 3
3 4 4
4 2 1
2 0 1
4 2 0
1 1 4
4 1 1
4 2 2
4 3 1
3 0 3
0 0 2
10 9
2 3 1
0 4 0
0 2 2
2 4 0
3 2 3
4 2 3
2 4 2
0 3 3
0 0 4
0 1 1
10 8
2 4 2
5 1 0
5 1 3
4 4 3
4 3 4
1 5 3
2 5 5
1 1 1
5 0 4
2 4 0
10 8
4 1 3
2 2 2
2 0 4
0 3 0
0 2 4
2 2 1
1 2 3
2 4 3
2 1 4
2 3 4
10 9
2 2 2
1 0 1
1 2 0
1 2 1
0 1 1
0 0 2
1 2 2
1 1 1
2 1 1
0 1 0
10 8
0 3 0
2 0 1
2 1 0
1 1 3
2 0 3
0 3 3
0 2 1
1 0 0
3 1 2
2 0 0
10 7
3 4 0
1 2 3
4 0 0
4 0 1
4 3 3
3 3 3
2 4 0
0 4 3
3 2 1
2 4 1
10 8
0 0 2
0 3 0
4 3 4
2 4 4
2 2 3
3 3 0
1 2 0
2 4 3
3 0 4
2 3 3
10 3
3 2 1
0 2 2
0 0 1
3 2 3
2 0 2
2 2 1
2 1 3
2 1 1
2 2 3
1 2 0
10 5
0 2 1
3 4 2
2 3 5
4 2 2
1 3 3
1 1 0
1 5 4
4 2 3
3 4 4
5 5 2
10 9
1 1 1
2 0 2
0 0 1
0 1 0
2 1 0
0 1 1
0 0 0
1 2 0
2 2 0
1 1 2
10 8
1 5 5
0 0 1
2 2 4
0 0 5
1 2 4
1 2 2
2 2 5
0 1 2
4 0 5
5 2 2
10 8
3 2 1
0 2 3
1 2 1
0 1 2
0 2 2
3 2 0
1 2 2
1 0 3
1 1 3
3 3 3
10 9
3 4 0
0 4 3
3 4 1
3 3 0
2 3 0
4 4 3
4 0 3
0 0 2
0 2 4
3 2 0
10 8
1 1 3
1 3 3
1 2 2
1 0 1
0 1 0
0 1 3
3 3 0
1 3 1
3 1 2
3 2 0
10 7
0 0 2
1 0 0
0 2 1
0 1 0
1 2 0
0 0 1
2 2 2
1 0 2
2 2 0
0 2 2
10 7
0 2 3
4 5 2
0 1 3
0 4 4
3 5 5
3 0 2
3 3 4
1 4 2
2 5 1
1 0 5
10 6
2 2 1
1 0 1
1 3 3
0 3 2
3 3 2
3 3 1
3 2 3
0 1 2
1 1 0
0 2 2
10 3
1 4 1
4 4 2
0 3 1
3 0 1
2 1 4
2 5 3
2 0 3
0 4 1
3 4 0
4 0 1
10 4
4 5 5
0 0 1
3 1 5
1 2 4
2 3 0
4 5 4
3 5 0
3 1 2
2 5 3
0 2 2
10 9
0 1 2
0 1 1
0 1 0
1 2 1
0 0 2
0 0 1
1 0 1
2 1 1
1 1 1
2 0 0
10 9
1 5 4
3 5 5
4 2 2
0 4 2
1 3 2
5 2 1
5 1 1
0 5 1
4 1 2
3 4 4
10 9
1 1 0
4 1 4
3 0 0
0 4 3
0 2 1
0 2 2
4 2 0
2 3 3
3 4 4
4 4 0
10 6
1 4 4
0 3 4
4 1 1
2 3 1
0 2 1
0 3 3
1 3 0
0 1 2
0 4 1
4 2 1
10 8
3 3 0
1 4 3
5 4 3
2 5 3
1 2 3
0 4 5
0 5 0
2 4 1
5 2 1
5 5 5
10 5
0 1 2
2 1 2
1 2 1
0 0 2
1 1 1
2 2 2
0 1 1
2 1 0
1 2 2
1 1 0
10 7
5 0 3
3 5 1
2 4 1
1 1 1
4 3 5
5 1 4
0 4 5
0 2 5
5 5 4
0 5 1
10 4
3 0 1
0 0 2
5 2 5
4 3 0
3 2 5
0 5 5
0 3 0
0 5 1
0 2 1
0 4 0
10 5
1 0 3
0 1 0
0 0 0
0 0 1
3 3 0
0 1 1
2 0 2
2 3 1
3 1 1
0 1 3
10 9
2 1 2
2 0 2
1 2 2
2 2 2
1 2 0
0 1 2
2 0 0
0 2 2
0 1 1
1 1 0
10 8
1 2 0
3 0 1
2 1 0
0 3 1
2 0 2
1 1 2
0 2 0
3 0 0
2 0 0
2 0 3
10 3
5 2 2
1 2 1
4 3 4
4 2 5
2 2 2
3 0 1
2 3 5
4 3 2
4 3 1
2 4 0
10 3
3 0 2
4 3 3
0 5 1
3 1 0
5 5 1
4 5 0
0 5 3
2 5 5
1 2 5
5 3 1
10 5
1 4 2
2 2 4
4 5 3
0 3 0
3 3 4
5 2 2
0 3 3
3 4 4
1 4 5
5 5 5
10 4
2 2 0
2 1 2
2 0 1
1 1 0
2 2 2
1 2 1
0 0 2
0 1 1
0 2 1
1 1 2
10 6
2 1 3
3 1 2
4 0 2
3 0 0
4 2 1
1 0 0
3 3 3
1 2 1
2 0 3
3 4 1
10 8
0 1 1
2 0 0
0 1 3
1 3 0
1 0 0
0 0 3
2 2 1
3 2 0
0 2 3
0 2 1
10 7
1 1 2
0 2 0
0 0 1
2 0 2
1 1 1
2 2 0
2 0 0
1 2 2
0 0 2
2 2 2
10 4
1 2 0
4 0 1
3 0 3
2 3 0
2 1 2
3 4 3
2 0 1
3 1 3
2 4 2
3 2 2
10 9
1 3 3
4 4 4
1 2 1
2 0 3
2 2 3
2 0 2
3 3 3
3 3 2
2 0 4
4 2 2
10 9
2 0 0
0 1 1
2 1 1
1 2 1
2 0 2
0 2 2
2 1 2
2 1 0
1 1 0
0 0 0
10 9
1 1 1
2 0 0
1 2 1
1 2 2
2 1 0
2 2 0
1 1 0
2 0 1
0 1 2
1 0 2
10 8
0 0 0
2 2 0
0 0 2
1 0 1
2 2 1
2 0 0
0 0 1
0 1 1
2 1 2
1 2 1
10 4
4 5 1
0 2 3
3 1 3
1 3 0
4 2 3
2 5 4
4 0 4
4 3 5
2 4 5
5 2 5
10 2
1 0 1
0 1 0
1 0 0
1 1 2
1 2 0
0 2 2
0 1 2
2 0 2
0 0 0
2 1 0
10 5
2 1 2
0 2 1
1 2 0
2 0 2
1 0 0
1 1 0
2 1 0
2 0 1
2 2 2
1 1 1
10 2
0 1 0
2 3 5
1 4 0
0 5 3
5 5 4
2 5 2
1 4 1
0 2 0
4 4 1
3 4 5
10 9
3 4 4
3 1 1
4 4 4
0 2 0
1 1 2
0 0 1
3 0 0
0 3 1
4 1 0
3 3 4
10 5
0 2 2
2 0 1
0 1 1
1 1 0
0 0 0
0 1 2
1 1 1
1 2 2
1 1 2
2 1 1
10 2
3 2 0
0 3 2
0 2 1
0 1 2
2 3 1
2 1 2
1 3 3
3 2 1
1 0 1
1 2 3
10 9
3 0 1
1 3 3
1 2 2
0 1 2
3 0 2
3 2 1
2 2 3
1 0 3
0 1 3
1 0 2
10 5
3 3 1
3 4 1
4 4 1
4 0 2
0 3 3
3 4 4
3 0 1
1 4 2
2 2 1
1 2 3
10 6
1 1 1
0 2 1
1 2 2
4 2 4
2 1 2
1 2 5
5 1 0
3 3 3
4 2 2
1 5 2
10 4
2 1 4
3 0 2
0 2 1
5 4 0
0 0 2
3 1 2
2 1 0
0 0 3
4 1 3
2 1 2
10 5
3 2 2
0 4 2
4 0 4
4 1 1
0 2 1
3 4 3
1 2 2
1 3 3
2 4 1
3 4 4
10 6
0 2 3
4 3 2
3 3 0
1 1 4
4 1 0
1 3 2
2 1 0
1 1 0
0 3 4
2 2 1
10 8
5 0 3
1 2 4
0 5 2
0 3 1
5 0 5
5 1 0
3 3 5
0 3 2
4 2 3
1 0 2
10 3
0 0 1
1 1 2
1 2 0
2 0 0
0 1 2
2 0 1
1 0 0
1 1 1
2 2 1
1 0 1
10 7
3 1 1
2 1 2
0 2 2
3 2 2
2 2 1
3 3 1
0 0 2
2 3 3
1 0 3
0 0 3
10 2
2 3 0
3 1 0
3 1 1
0 2 2
2 1 0
1 0 1
0 3 1
3 0 0
2 2 0
3 2 1
10 7
4 5 2
3 4 5
4 5 3
5 2 1
2 0 2
0 4 2
4 1 2
3 4 2
4 2 4
3 0 0
10 7
1 0 0
0 0 0
2 2 0
2 0 1
0 1 0
1 2 0
1 0 1
2 2 1
1 2 2
0 2 1
10 8
2 1 1
2 2 0
0 2 2
2 2 2
0 2 1
1 0 0
0 1 2
1 2 1
1 1 2
2 1 0
10 7
4 4 3
3 4 3
1 3 2
1 0 4
1 3 1
4 3 4
3 2 4
0 4 1
1 1 4
1 4 4
10 4
0 2 1
2 2 2
2 2 0
2 1 0
0 2 0
0 2 2
1 0 2
2 0 2
0 0 2
2 0 1
10 5
4 3 5
4 5 2
5 5 5
4 3 1
2 5 0
2 5 3
5 4 4
4 2 1
5 2 0
1 3 1
10 5
1 0 2
1 2 2
2 1 2
2 0 2
0 1 1
2 0 1
0 2 0
0 0 0
1 2 1
0 2 1
10 9
1 0 3
1 0 2
0 1 2
1 3 2
2 0 2
0 3 1
1 2 3
1 2 1
2 1 2
3 3 1
10 6
3 1 0
4 2 0
3 3 0
1 4 0
3 0 0
1 3 4
0 2 1
3 0 4
0 3 2
2 3 0
10 2
0 1 1
1 1 2
2 2 0
2 0 1
0 2 0
0 0 2
0 0 1
1 0 2
2 1 0
2 1 1
10 5
0 0 1
2 1 1
1 0 2
0 2 1
0 2 2
0 1 1
2 1 0
1 2 2
0 1 0
0 0 2
10 4
0 2 2
2 2 3
4 4 3
4 2 3
3 1 3
2 1 2
4 3 2
1 2 2
2 2 4
3 4 1
10 5
5 2 5
4 4 3
2 5 0
2 0 0
1 5 1
5 4 0
4 0 2
4 2 4
3 0 5
2 2 5
10 2
3 2 3
0 2 1
2 4 4
2 0 1
4 1 2
4 0 3
4 3 4
2 1 3
4 1 3
0 2 3
10 7
3 5 5
0 4 0
4 4 0
1 3 3
4 5 0
0 2 5
2 2 1
1 2 0
0 0 0
2 0 1
10 2
3 2 3
3 0 3
2 3 3
2 2 0
3 2 2
3 3 2
0 1 0
1 3 0
3 3 0
0 2 2
10 7
4 4 0
1 2 5
1 3 4
5 0 2
3 3 0
0 5 4
1 4 0
4 1 0
3 2 5
5 3 5
10 8
3 1 2
1 4 4
3 3 4
2 1 4
2 1 2
1 3 2
2 2 2
5 4 5
2 3 0
5 3 2
10 4
4 2 0
3 0 0
0 3 1
3 4 4
3 0 4
2 4 3
0 2 3
3 3 1
2 2 3
3 1 4
10 2
4 0 0
3 5 5
2 2 0
1 2 2
0 2 4
3 4 1
5 0 5
1 4 3
5 4 1
4 2 4
10 3
4 4 2
0 0 4
1 4 4
2 4 1
1 2 1
4 3 1
4 2 3
0 3 0
0 4 2
4 0 4
10 2
2 3 1
1 2 2
4 0 3
4 1 1
0 0 3
3 1 4
0 3 0
0 1 3
3 2 1
3 1 2
10 4
4 5 3
0 5 4
5 2 5
4 3 0
3 4 2
0 0 0
3 0 0
1 0 2
1 1 5
2 4 4
10 3
0 2 2
0 0 1
1 2 0
2 0 2
0 1 2
2 1 0
0 1 0
1 2 1
2 2 2
1 1 1
10 2
2 0 3
2 1 1
1 5 5
5 2 0
0 5 4
2 0 0
5 5 3
1 1 5
5 0 1
3 1 3
10 2
0 1 2
1 2 0
0 0 0
1 1 2
2 2 2
1 2 2
1 2 1
2 0 2
2 2 0
1 0 1
10 5
1 1 1
2 1 1
0 2 0
2 0 0
2 2 0
0 1 0
0 0 1
0 1 1
0 2 1
2 1 2
10 4
1 1 1
1 2 2
1 1 2
0 2 2
2 0 1
0 2 1
0 0 0
2 2 2
1 2 0
1 1 0
10 9
2 0 2
0 1 1
1 1 0
0 1 2
1 2 2
0 0 2
0 1 0
2 0 0
0 0 0
1 0 2
10 7
2 2 3
4 0 1
3 4 1
1 2 0
2 0 4
4 3 0
4 1 0
2 1 4
3 1 3
4 0 3
10 9
2 4 2
2 1 0
2 2 0
1 1 3
0 4 2
3 0 2
0 4 1
2 0 3
0 0 2
1 1 0
10 2
1 4 2
1 0 1
1 3 0
4 2 0
5 1 3
0 1 4
3 2 1
4 3 5
3 0 2
0 0 0
10 7
1 0 0
4 4 0
0 5 4
5 3 2
5 3 3
1 5 2
1 1 4
0 0 2
5 0 0
2 1 3
10 6
0 2 2
2 4 2
4 4 0
3 0 0
2 4 4
0 1 4
2 1 0
4 2 1
0 3 0
3 0 1
10 5
3 2 0
4 3 2
4 4 2
0 0 3
1 0 4
0 1 0
0 0 1
0 0 0
1 2 2
4 1 3
10 7
2 1 2
1 1 1
2 2 0
0 1 2
1 1 0
0 2 1
1 2 2
0 2 2
1 0 0
0 2 0
10 2
0 0 4
3 0 2
5 2 2
5 1 3
2 3 3
3 4 3
4 1 2
5 2 1
2 0 3
2 2 5
10 4
1 0 4
4 4 3
0 0 4
3 2 3
2 2 3
2 4 2
3 2 2
3 4 3
2 0 1
2 0 3
10 8
2 1 2
2 0 4
4 4 1
0 1 1
4 4 4
4 2 0
3 1 4
0 4 0
0 0 1
0 2 2
10 2
0 0 2
1 1 2
0 2 1
1 1 1
1 2 2
2 2 0
0 2 2
2 1 2
0 1 0
1 0 1
10 8
4 1 0
2 0 3
3 3 2
1 3 2
2 4 4
4 2 1
0 4 1
3 2 2
2 2 0
3 4 2
10 8
2 3 3
4 1 3
1 3 1
1 0 3
1 4 1
1 1 0
3 5 3
4 1 5
2 1 5
3 5 4
10 4
0 1 0
2 2 1
2 0 1
1 0 2
0 0 2
2 1 0
0 2 1
1 2 0
2 1 1
1 1 0
10 5
1 0 0
2 1 2
2 1 1
1 2 1
1 2 2
2 1 0
2 2 2
2 2 0
2 0 2
0 2 2
10 5
2 3 1
0 0 0
3 2 1
0 2 2
2 1 0
2 4 1
4 0 4
1 2 2
3 3 1
1 4 0
10 6
0 1 0
0 2 3
2 2 1
1 1 2
3 0 3
1 3 1
0 3 0
2 0 2
2 3 3
3 3 1
10 6
1 4 1
0 4 1
1 0 0
4 2 3
1 1 3
1 3 1
1 2 3
1 3 4
4 0 4
3 0 0
10 9
0 0 4
1 1 4
1 4 2
1 1 1
4 0 1
1 3 0
0 4 0
3 1 1
3 0 0
2 3 2
10 6
3 0 1
2 0 5
2 3 5
0 2 4
1 5 5
5 2 0
4 0 3
5 2 5
3 5 0
5 1 0
10 3
3 3 3
2 2 4
3 0 1
4 2 2
4 1 1
3 4 1
2 0 2
4 4 3
0 1 0
1 4 0
10 2
1 4 3
4 0 0
0 3 4
2 2 3
1 1 1
0 2 0
1 1 3
4 2 1
4 0 1
2 0 1
10 7
2 4 5
5 5 5
4 1 4
2 5 3
3 4 1
2 2 0
4 2 2
3 3 1
1 5 1
3 5 4
10 2
1 0 0
2 0 1
1 0 2
2 2 2
1 2 2
1 1 2
2 1 1
0 1 1
2 2 0
2 2 1
10 5
0 2 2
1 0 1
0 2 1
1 2 1
1 1 1
1 2 2
1 0 2
0 1 1
2 2 2
2 0 2
10 6
2 2 1
1 1 1
0 2 1
2 0 1
1 2 0
3 0 2
2 0 3
2 3 2
0 1 3
3 1 0
10 9
0 2 0
0 2 3
2 1 2
2 1 0
2 2 1
0 2 2
1 0 0
0 1 1
1 1 1
0 3 1
10 4
1 0 0
2 1 1
3 3 3
3 0 0
1 2 1
3 3 0
2 2 0
0 2 2
3 2 0
2 1 3
10 8
0 1 0
0 0 2
1 2 2
2 2 1
2 0 0
1 0 2
0 2 1
1 0 0
2 1 1
1 0 1
10 5
4 4 4
2 1 1
3 3 0
1 5 1
5 1 1
3 4 3
0 3 3
5 5 2
3 1 1
1 3 1
10 5
3 2 3
0 0 1
2 2 0
1 3 2
1 1 3
0 3 3
0 2 0
2 1 1
1 3 3
2 3 1
10 5
0 3 2
3 1 1
0 2 1
3 0 2
3 0 3
1 3 1
2 2 3
2 1 2
1 1 2
1 3 0
10 3
0 1 1
0 2 4
0 1 2
1 0 3
0 1 0
2 2 4
1 2 3
3 1 1
0 3 3
3 1 4
10 5
0 2 1
1 4 3
1 0 4
0 0 0
1 2 1
3 0 4
2 3 4
3 3 3
0 0 2
1 1 4
10 6
1 2 3
2 1 3
1 4 1
3 2 4
1 2 4
0 2 0
0 1 4
0 1 1
4 0 4
1 0 4
10 6
2 4 3
0 2 1
4 1 2
1 1 2
0 4 0
5 5 5
3 1 0
1 0 5
1 4 5
4 3 3
10 9
2 0 1
2 1 0
0 0 1
2 1 2
1 2 1
2 0 0
1 0 0
1 0 1
0 1 0
2 0 2
10 8
1 0 4
5 4 1
0 2 0
3 4 2
2 0 0
3 3 0
4 3 5
3 4 3
1 0 3
5 2 5
10 4
2 1 3
4 0 1
3 0 0
2 3 2
3 2 3
3 2 2
2 0 4
4 3 1
3 1 3
2 0 3
10 6
2 1 1
1 1 1
1 2 2
0 0 1
0 1 2
1 0 1
2 0 1
2 1 0
1 1 0
2 2 2
10 6
1 4 1
3 3 3
0 1 0
0 1 2
0 3 4
3 0 2
3 1 3
2 1 1
1 3 2
1 1 1
10 8
0 0 0
0 2 2
0 3 0
2 2 1
0 3 3
2 3 0
0 2 1
3 1 3
1 2 3
2 1 1
10 4
2 1 0
0 0 0
2 1 1
0 1 0
0 2 1
1 2 2
0 2 0
2 1 2
2 2 1
1 0 2
10 4
0 0 0
0 3 2
0 2 2
1 3 3
2 3 0
2 2 2
2 1 2
1 0 2
3 3 0
1 0 0
10 4
0 1 0
2 1 2
0 1 1
2 2 1
0 0 1
1 0 0
0 2 1
0 0 2
1 2 0
2 0 1
10 2
2 1 3
2 3 0
1 1 4
1 4 0
3 0 4
2 2 0
4 2 1
0 4 3
0 0 1
1 2 0
10 2
0 2 2
2 0 2
3 1 1
2 0 1
3 3 1
3 3 2
3 0 3
3 0 2
0 1 0
1 2 0
10 5
3 0 4
2 2 2
2 4 3
2 3 3
3 4 3
1 0 2
4 5 2
4 5 1
4 1 1
2 2 0
10 8
2 0 1
1 1 1
0 1 0
1 1 2
1 0 2
1 0 0
2 0 0
0 1 2
0 0 2
0 0 1
10 4
1 3 1
3 1 1
4 0 0
2 0 1
0 2 0
2 2 1
1 2 0
1 2 1
4 3 3
4 1 3
10 4
0 1 0
1 2 0
0 0 0
2 2 2
2 0 1
2 1 1
2 1 0
2 1 2
0 0 1
0 2 1
10 7
0 0 2
2 2 1
2 1 0
1 1 0
1 2 1
0 2 2
2 1 2
2 0 2
2 0 1
0 0 1
10 3
0 5 1
1 2 2
2 0 3
3 2 5
5 0 2
1 0 3
1 5 2
5 5 5
1 3 5
1 2 3
10 2
2 0 0
0 2 2
2 0 1
1 0 2
0 2 1
0 1 2
2 2 0
2 1 2
2 2 1
1 1 0
10 8
1 4 0
1 2 3
3 4 1
1 3 3
2 4 2
1 0 3
3 3 3
1 3 2
4 2 4
2 2 0
10 5
1 1 0
3 2 3
0 0 0
1 3 1
2 0 0
2 1 1
2 2 2
1 2 0
0 1 3
0 3 3
10 4
0 3 1
2 2 2
1 4 1
1 4 4
0 1 4
4 2 4
0 4 4
3 0 0
2 3 4
3 3 0
10 6
3 4 0
0 0 3
0 3 3
0 3 1
3 1 0
4 0 3
2 4 4
1 2 4
1 3 0
3 2 0
10 3
2 3 1
3 4 2
1 0 1
2 4 2
1 1 0
4 4 2
1 2 1
1 4 3
1 3 1
2 3 2
10 2
0 2 2
1 1 2
0 2 0
4 1 0
1 4 0
3 2 4
4 3 3
0 4 0
1 3 3
1 3 1
10 7
2 1 1
2 0 1
1 2 2
1 1 1
0 0 0
0 2 2
2 0 0
0 0 2
0 2 1
1 2 0
10 2
2 1 1
1 1 2
0 1 1
2 2 0
0 1 2
0 0 2
1 2 1
0 0 1
0 2 1
0 2 0
10 5
4 2 4
2 4 2
1 0 2
4 3 3
3 0 3
2 3 0
0 3 3
3 1 0
1 0 0
1 1 1
10 9
0 3 1
1 3 3
1 2 5
1 2 4
4 2 5
0 1 0
2 3 1
0 5 5
5 3 5
5 1 3
10 2
2 2 2
1 2 2
0 2 0
0 0 0
1 0 2
1 0 1
2 1 1
2 2 1
0 0 1
2 0 1
10 7
1 1 1
0 1 1
1 2 0
2 0 2
2 1 0
2 2 2
1 1 0
0 2 2
0 2 1
1 0 1
10 6
1 2 2
1 3 2
0 0 3
0 2 0
1 0 2
1 0 1
2 1 2
3 3 0
0 3 1
3 2 1
10 7
4 1 1
0 4 0
3 1 0
4 1 0
2 3 3
2 2 4
3 1 2
4 2 2
2 3 2
1 4 4
10 6
0 1 2
2 3 1
2 2 0
1 3 1
0 1 0
1 4 4
1 3 3
0 0 2
1 1 0
2 3 0
10 6
2 4 1
2 4 3
1 4 0
3 4 3
2 3 3
3 4 4
3 4 2
1 2 1
1 0 3
3 2 1
10 7
0 1 2
5 2 0
0 4 4
2 3 1
3 1 0
1 3 5
1 0 2
4 4 0
3 4 5
3 5 4
10 2
2 1 1
3 2 0
1 3 2
1 2 2
3 3 2
0 1 1
1 2 1
3 3 1
2 0 0
1 3 1
10 3
2 4 2
1 0 3
2 2 4
4 1 4
1 3 1
1 0 4
4 4 4
3 0 3
1 0 0
1 2 4
10 9
1 3 1
1 1 0
0 2 2
0 2 0
1 0 1
3 1 1
3 2 3
0 3 2
0 1 3
3 1 0
10 6
2 1 2
2 2 2
0 0 2
0 1 1
0 2 2
0 0 0
0 1 2
2 1 1
1 1 2
1 0 1
10 2
5 5 1
3 5 3
4 2 1
3 1 4
5 3 2
1 2 2
1 3 2
3 2 1
0 2 1
5 3 5
10 2
2 0 2
2 0 1
0 0 1
0 1 3
2 2 2
1 1 3
3 0 1
3 1 2
0 2 3
1 3 2
10 5
1 2 1
3 1 1
0 2 1
2 3 2
3 3 2
2 1 0
3 0 3
3 1 3
1 3 1
0 0 1
10 6
1 3 3
3 0 3
2 1 3
2 0 2
4 2 4
4 3 3
4 3 0
2 3 2
0 0 2
2 4 1
10 4
4 1 1
1 3 1
4 0 0
1 2 4
4 3 2
0 2 4
1 4 4
0 4 0
2 3 0
3 0 3
10 5
4 3 1
2 4 2
1 4 3
3 3 0
2 0 3
2 1 2
4 0 4
0 3 3
0 1 2
2 2 4
10 8
5 5 5
1 5 5
3 2 5
3 5 0
5 5 2
0 1 1
0 4 4
5 4 0
1 1 2
0 5 3
10 5
0 2 2
0 1 0
3 3 2
1 2 2
1 1 3
1 0 0
3 2 2
1 1 2
3 1 3
2 2 0
10 4
2 0 2
1 0 0
1 1 0
0 0 2
2 1 2
2 2 0
0 2 0
2 2 1
0 1 0
1 1 2
10 2
1 1 0
0 2 0
0 2 1
1 2 2
1 1 2
2 1 2
1 0 2
2 2 0
0 0 0
0 0 2
10 8
0 0 1
2 2 0
1 0 2
1 1 1
1 0 1
2 0 2
1 2 0
0 2 2
0 2 1
2 1 0
10 5
3 1 3
0 0 2
4 1 4
2 2 0
2 1 3
1 0 0
3 4 0
0 2 1
2 2 4
4 5 0
10 4
0 1 2
2 0 1
0 2 2
2 0 2
1 1 1
1 0 1
2 2 1
2 1 0
0 2 0
1 2 1
10 8
1 3 1
0 1 3
2 0 3
1 2 3
0 3 0
3 3 1
1 2 1
3 1 3
3 0 2
3 2 1
10 2
1 2 0
4 4 4
5 3 2
3 3 5
2 4 4
2 1 1
0 1 3
2 0 4
5 5 5
2 1 3
10 4
0 0 1
1 4 3
2 0 3
4 1 4
1 0 4
0 1 0
4 2 1
3 0 0
1 3 1
0 4 0
10 8
0 1 2
4 3 4
3 2 2
2 0 3
0 3 2
1 0 3
2 3 1
0 4 0
3 1 3
4 0 0
10 4
1 1 1
0 1 0
0 2 1
0 0 0
1 1 2
0 0 2
1 1 0
2 2 0
0 1 2
0 0 1
10 9
0 0 0
0 0 1
2 2 0
1 2 2
1 1 1
2 1 0
0 2 2
2 0 1
0 1 0
2 1 2
10 8
2 2 0
2 0 0
0 2 1
1 0 2
1 2 2
2 1 0
2 0 2
1 1 2
0 2 0
1 2 1
10 4
3 2 3
1 2 1
0 3 2
2 3 1
1 3 2
3 3 2
0 3 3
2 0 0
3 2 1
0 1 2
10 7
2 5 0
1 3 4
0 4 1
0 5 3
2 5 5
0 3 1
4 0 5
2 1 1
3 1 4
4 2 1
10 6
1 2 2
2 0 2
0 0 1
2 2 1
1 0 1
2 2 2
1 2 0
0 2 0
1 1 2
2 1 2
10 4
2 2 1
1 3 0
1 2 2
1 0 1
3 2 2
3 2 1
0 1 0
2 2 0
2 3 1
2 1 1
10 3
2 1 5
1 5 2
4 5 0
1 0 1
4 0 0
0 3 0
1 4 2
2 2 3
1 2 3
0 4 2
10 4
2 1 0
2 3 0
2 3 1
1 3 2
0 2 2
1 1 1
3 3 2
3 1 2
0 3 2
0 1 3
10 2
4 0 4
3 5 1
4 5 3
1 4 5
3 4 0
0 4 5
3 2 2
5 1 1
0 0 0
2 1 0
10 6
4 3 0
4 4 1
0 1 1
1 4 3
0 3 0
0 2 3
2 2 0
2 0 4
4 2 1
1 4 1
10 3
3 4 1
4 1 4
2 4 1
0 3 2
0 1 4
1 3 3
1 2 1
3 2 2
0 0 2
0 4 4
10 6
0 0 0
2 1 1
2 0 1
2 1 0
1 1 1
0 1 0
1 1 2
1 0 2
2 2 0
0 0 1
10 3
3 3 1
1 1 2
1 1 3
0 2 2
2 0 2
1 3 3
2 2 3
3 0 3
0 0 3
3 1 0
10 6
2 2 1
1 1 1
3 3 2
2 2 4
1 4 3
4 0 3
4 0 2
2 2 3
4 4 0
4 2 3
10 4
0 3 5
5 2 5
5 3 0
0 0 1
5 3 5
3 2 1
4 5 5
3 3 5
5 3 2
1 0 5
10 7
1 4 4
2 3 0
3 4 0
0 1 4
0 0 0
0 2 4
1 0 2
3 1 1
0 2 1
4 3 4
10 5
4 2 1
3 1 0
2 1 0
1 4 0
2 1 1
3 2 1
4 4 3
2 3 1
1 4 1
3 3 3
10 5
1 1 3
1 2 0
4 3 4
0 0 0
1 3 4
4 3 2
1 1 4
2 0 1
2 4 0
4 1 2
10 7
0 1 0
3 0 3
3 2 1
1 3 0
1 2 2
3 3 2
2 1 3
3 1 1
3 2 2
3 0 2
10 9
2 4 4
2 5 1
2 3 1
0 1 2
2 0 0
0 2 2
0 3 1
1 5 5
3 0 0
3 1 4
10 4
0 4 2
3 3 0
3 0 3
0 4 4
3 2 0
0 3 4
3 3 4
1 0 4
4 0 2
0 2 3
10 3
3 1 1
0 2 1
2 0 3
1 4 3
1 1 1
4 0 3
4 4 1
1 3 3
1 0 3
2 1 0
10 6
2 5 0
2 5 4
4 1 1
2 0 5
0 5 2
2 0 1
4 1 2
1 4 3
1 5 3
1 1 3
10 6
2 1 1
0 0 1
0 2 2
2 2 2
1 2 0
2 2 0
0 0 0
2 0 1
1 1 1
2 2 1
10 5
0 1 0
2 2 0
1 2 2
2 2 2
2 0 0
0 2 0
1 0 1
1 1 0
1 0 0
0 2 2
10 8
1 1 1
0 2 0
0 0 1
0 1 1
1 2 1
2 0 2
2 2 0
2 1 0
2 1 1
1 1 2
10 5
2 0 0
0 1 1
2 1 1
1 0 1
0 0 0
0 1 2
2 2 2
1 0 2
2 1 2
2 0 2
10 6
0 4 4
1 0 1
3 1 3
3 3 3
2 1 3
4 2 3
3 3 2
0 2 2
4 2 2
3 0 3
10 7
0 1 2
2 1 2
0 1 0
0 0 0
0 2 0
1 2 2
2 2 1
2 2 2
1 0 0
2 2 0
10 4
2 2 1
1 0 0
2 1 1
1 1 2
1 1 1
0 1 0
0 2 2
1 2 0
2 0 0
0 0 2
10 4
5 5 2
2 1 3
5 0 5
3 0 1
3 2 2
3 3 1
2 0 2
5 4 5
0 4 1
3 5 2
10 5
3 0 1
1 4 0
1 3 0
3 2 0
1 2 4
4 1 3
0 1 0
0 4 2
3 1 2
4 2 1
10 4
0 3 3
1 2 3
3 0 0
0 1 1
3 0 2
1 2 2
1 0 3
1 0 0
1 0 1
2 3 3
10 7
3 4 1
4 1 2
1 1 2
3 2 1
4 2 3
1 1 3
2 0 1
2 1 1
0 0 0
1 4 3
10 7
0 1 2
1 2 2
0 0 1
0 1 0
3 3 3
1 3 1
3 3 2
2 1 2
2 0 3
3 1 3
10 2
2 0 1
0 2 2
0 0 2
1 0 2
2 0 2
1 2 0
0 2 0
0 1 2
2 2 0
0 0 0
10 8
3 3 3
0 0 2
2 3 0
0 0 1
3 1 2
1 1 2
0 1 0
2 0 2
1 2 1
1 1 1
10 6
2 3 5
3 1 3
2 5 0
2 1 0
0 3 2
5 3 4
3 2 3
0 3 5
4 4 4
4 2 1
10 6
2 2 2
4 2 0
0 0 3
4 2 4
2 3 1
0 0 4
1 1 1
1 2 1
4 4 0
4 4 1
10 6
2 0 3
1 3 0
1 2 2
1 3 3
3 1 1
3 1 3
3 2 3
0 3 3
0 2 3
2 0 2
10 9
1 2 1
1 0 2
2 1 2
0 0 2
0 0 1
2 0 2
1 1 1
1 0 1
2 0 0
0 1 1
10 5
2 3 2
0 1 2
1 3 2
0 0 4
2 0 3
3 2 4
4 0 1
4 1 1
2 1 0
3 4 1
10 9
2 2 0
1 3 2
1 1 4
4 3 3
1 0 1
1 5 5
2 4 5
2 3 2
3 2 2
4 1 3
10 6
1 1 0
1 0 0
0 2 1
1 2 0
0 2 2
2 0 0
1 2 2
1 1 2
2 2 0
0 2 0
10 3
2 1 2
0 1 5
2 0 3
1 1 0
0 0 2
2 1 5
4 5 1
1 5 4
3 2 0
3 2 3
10 7
2 2 2
2 0 2
2 3 0
1 1 1
1 0 1
2 0 3
1 3 1
3 0 1
3 2 3
0 0 0
10 7
5 5 5
1 0 4
1 2 3
0 1 2
2 1 0
1 0 5
4 4 0
5 4 1
1 5 2
4 3 4
10 7
3 3 2
2 4 1
4 4 3
4 3 1
1 3 0
0 3 0
4 1 2
2 1 1
0 1 3
1 0 2
10 2
1 1 2
1 0 2
0 0 1
2 0 1
0 1 1
0 1 2
1 1 1
0 2 0
0 2 2
1 2 2
10 4
3 3 3
0 0 1
2 2 2
2 2 0
0 2 1
0 3 0
1 0 2
1 3 2
1 1 0
2 1 1
10 6
2 2 3
3 1 2
3 2 0
2 0 1
3 0 3
0 3 3
2 2 2
1 1 0
0 2 0
1 0 1
10 5
1 5 2
5 2 0
0 4 3
5 1 3
0 5 2
1 0 2
4 3 2
3 3 3
5 3 3
1 0 5
10 8
2 3 2
1 0 2
2 3 3
0 1 2
0 1 0
2 0 1
2 1 1
3 3 3
2 3 0
1 0 3
10 4
4 3 0
2 0 1
2 2 0
2 3 4
4 3 3
2 1 1
1 2 2
2 3 2
1 1 0
0 3 2
10 2
2 0 1
3 2 4
1 1 1
1 3 2
1 4 4
0 0 3
1 1 0
3 2 0
4 0 4
3 2 3
10 4
0 4 2
2 1 4
3 3 3
2 2 0
2 0 3
0 2 1
4 1 3
1 0 3
2 4 0
3 2 1
10 2
2 3 1
2 4 3
2 1 4
3 0 1
3 5 4
5 1 0
3 1 3
1 4 1
4 3 4
4 4 3
10 3
3 1 1
0 0 3
3 1 3
2 1 3
3 1 0
0 1 3
0 0 1
2 3 1
2 2 2
3 0 0
10 6
2 2 1
2 0 2
0 2 1
1 0 2
0 1 2
1 2 2
1 1 0
1 2 0
2 0 1
2 1 0
10 2
1 1 2
2 0 3
3 3 1
1 3 0
0 0 0
2 2 2
3 0 3
1 2 1
1 3 2
2 2 0
10 5
3 0 4
2 1 2
1 3 3
0 1 2
4 1 2
1 3 4
0 0 0
0 2 0
2 1 3
4 2 1
10 3
1 0 1
0 0 1
0 2 0
1 1 1
2 1 1
2 1 2
1 0 0
1 0 2
2 2 2
2 0 1
10 4
1 0 2
2 0 0
2 1 1
2 1 0
1 2 0
0 2 0
0 1 0
2 2 0
0 0 2
0 0 0
10 3
0 0 2
3 0 0
0 0 3
3 3 3
1 1 3
2 1 3
3 1 2
0 2 1
0 3 0
1 3 3
10 3
1 4 1
1 0 1
4 2 1
3 0 0
4 2 3
1 2 3
4 3 2
2 1 0
4 4 2
3 0 4
10 3
5 0 5
0 0 2
5 3 1
1 3 2
3 1 3
4 1 5
1 5 0
5 4 4
3 5 3
3 2 2
10 8
1 2 2
0 1 1
1 2 0
2 2 2
1 0 0
1 2 1
2 1 2
1 0 2
2 1 1
2 2 0
10 9
4 4 4
3 1 3
2 3 4
0 2 2
4 0 3
0 0 4
1 0 2
0 4 3
2 1 1
1 0 4
10 6
0 2 3
2 0 3
0 2 1
2 2 2
2 3 2
3 2 0
2 2 3
0 1 2
2 3 1
1 3 2
10 3
1 3 2
0 0 3
1 3 1
1 2 0
2 1 0
0 2 2
1 2 3
1 0 2
2 1 2
0 3 1
10 5
2 1 0
1 1 1
0 2 2
0 0 0
1 0 1
2 2 1
2 0 2
0 1 2
2 0 0
1 2 2
10 4
1 1 3
0 0 3
3 2 2
2 3 1
1 3 2
1 2 3
1 1 2
2 2 1
2 0 0
2 1 2
10 5
2 2 2
1 2 2
0 0 2
1 1 0
0 1 1
1 0 1
0 0 1
1 0 0
2 1 2
2 0 0
10 6
1 0 2
4 0 2
2 4 0
0 0 0
5 2 4
3 2 3
3 0 2
5 2 3
5 0 4
5 4 4
10 4
3 1 0
2 5 1
1 0 0
5 0 5
5 2 0
5 4 4
4 2 1
4 2 0
3 2 5
4 5 2
10 3
0 1 4
1 4 4
0 1 0
4 3 1
0 0 4
2 1 2
0 4 4
5 2 0
1 5 2
0 2 1
10 9
2 3 1
4 0 4
0 2 1
4 2 3
1 0 2
4 2 2
3 2 4
0 0 2
3 0 4
0 4 3
10 5
2 0 1
1 0 0
1 5 4
3 0 4
5 2 0
4 3 4
1 0 3
4 3 5
3 1 5
5 2 4
10 9
0 0 2
2 0 2
3 4 2
4 3 2
2 4 3
0 0 4
0 1 3
4 2 2
3 4 0
4 4 4
10 7
1 2 0
2 2 0
1 0 2
2 0 1
2 0 2
2 1 2
0 1 1
1 2 1
1 1 2
0 0 0
10 6
0 3 0
0 2 3
3 0 0
3 2 2
1 3 2
0 1 3
3 3 1
1 1 2
2 0 0
0 1 1
10 2
0 1 1
0 0 2
0 2 0
2 1 2
1 0 2
0 0 1
2 2 1
2 0 2
1 2 0
2 1 1
10 2
2 0 2
0 2 2
0 0 2
0 2 0
0 1 1
2 2 1
0 0 0
2 1 2
1 0 0
1 2 1
10 3
2 1 1
0 0 1
1 2 2
0 0 0
1 2 0
0 2 1
2 2 1
1 1 1
0 2 2
0 1 0
10 3
0 1 0
1 0 0
0 0 2
2 2 1
1 1 1
0 0 0
0 1 1
0 2 2
2 2 0
1 2 2
10 3
2 0 3
3 2 0
1 0 1
3 3 2
0 3 2
1 2 0
1 3 0
2 1 2
1 3 3
2 2 3
10 5
5 1 2
1 0 1
4 5 1
5 5 0
5 1 0
1 3 5
4 3 4
5 0 4
0 0 2
3 3 3
10 3
2 0 2
1 2 0
2 0 1
0 1 2
1 0 1
2 1 2
0 1 1
1 0 0
0 2 0
1 2 1
10 9
5 0 1
5 1 1
0 5 0
4 3 3
3 5 0
1 5 0
3 2 0
0 1 4
3 5 3
3 3 3
10 5
2 3 2
2 1 3
0 1 4
0 1 0
3 0 4
4 2 2
3 3 2
3 4 4
1 2 3
2 3 1
10 8
2 3 2
0 2 0
3 2 2
1 0 2
3 0 0
2 3 1
2 1 1
1 1 0
1 2 2
2 0 2
10 5
3 2 3
5 3 5
2 2 3
0 0 5
1 4 2
5 3 4
4 1 1
5 0 0
1 5 2
5 2 3
10 2
4 4 4
3 4 2
3 4 4
0 1 2
3 0 2
2 2 3
1 4 3
4 2 2
1 1 3
2 2 2
10 7
2 3 5
3 2 0
5 4 2
0 2 2
4 0 3
3 0 4
1 0 2
1 3 5
1 3 3
4 5 0
10 2
0 2 4
5 4 0
4 5 5
0 0 4
0 3 1
0 3 0
1 2 3
4 3 1
5 0 0
5 3 0
10 7
0 0 0
3 2 0
2 1 2
1 0 2
2 0 3
1 3 3
3 1 1
2 3 3
0 1 1
0 1 3
10 8
3 1 2
3 5 1
4 0 5
0 3 3
3 1 5
4 0 4
2 0 0
1 4 4
5 5 3
3 3 2
10 6
5 4 0
1 2 4
0 3 3
0 4 0
4 2 5
2 1 4
2 0 0
4 1 0
4 2 1
2 4 5
10 5
2 2 0
1 0 0
1 2 2
2 0 2
0 0 1
1 1 1
0 2 1
0 0 2
1 0 1
0 2 0
10 2
0 4 3
3 3 1
3 0 3
3 1 2
2 4 0
4 0 1
2 3 2
2 0 4
1 2 2
1 2 4
10 9
2 0 1
0 3 0
1 2 1
3 3 1
2 2 2
2 0 2
1 0 1
2 2 1
3 2 2
0 0 3
10 7
2 1 1
0 2 0
1 2 0
1 0 0
0 1 2
0 0 1
2 0 2
0 0 0
0 1 1
1 1 1
10 3
1 0 1
1 2 2
2 1 1
2 1 0
2 1 2
1 2 1
1 2 0
0 1 0
2 0 2
2 2 1
10 9
2 2 5
5 3 4
0 2 2
2 0 1
5 3 3
2 4 0
1 2 2
5 3 5
1 0 4
0 0 2
10 5
0 0 0
0 1 0
2 1 1
0 2 2
2 0 2
2 0 1
1 1 0
0 1 1
2 2 1
0 1 2
10 4
2 0 2
2 2 2
0 2 0
2 1 0
0 2 1
0 1 1
1 1 0
1 1 2
1 0 1
1 2 2
10 9
0 0 2
1 3 3
2 2 0
3 2 3
1 1 0
3 0 3
3 2 1
2 2 2
1 0 0
0 3 2
10 5
0 2 1
1 3 2
1 2 1
3 2 1
3 0 2
3 1 3
0 1 1
1 0 1
0 2 2
0 1 2
10 6
2 0 0
0 2 2
2 0 2
0 2 1
1 2 1
2 2 1
0 1 0
2 1 0
1 0 1
2 1 1
10 9
4 3 4
2 2 1
0 4 4
3 3 1
4 0 0
1 2 1
2 1 3
2 4 4
0 0 4
3 1 0
10 5
4 3 4
3 1 2
1 4 4
0 3 4
0 2 0
3 1 0
0 0 1
4 3 2
5 4 2
4 5 3
10 8
4 4 4
1 4 1
1 0 2
1 1 4
1 4 3
2 3 4
2 3 3
4 0 1
1 1 2
1 4 4
10 8
3 0 2
2 4 5
4 3 4
1 3 1
1 3 2
3 4 1
3 4 3
3 2 4
3 5 4
2 2 1
10 5
0 1 0
3 3 3
0 2 3
0 3 3
1 2 3
0 1 3
1 1 3
2 2 1
0 0 3
0 3 2
10 7
0 1 0
3 2 1
0 0 0
2 2 1
3 0 3
0 1 1
1 1 3
2 2 3
3 1 3
1 0 3
10 5
2 1 1
2 0 2
0 0 0
0 2 1
1 2 0
1 0 0
1 1 1
2 2 0
0 1 0
0 0 1
10 3
1 4 1
0 1 0
3 0 3
0 2 0
2 3 2
2 4 0
3 3 4
4 2 1
0 0 4
3 4 4
10 8
0 1 2
1 2 0
2 1 1
2 2 2
2 0 0
1 1 2
1 2 1
0 1 1
2 2 1
0 1 0
10 2
1 3 3
0 0 1
3 4 0
1 1 1
3 2 3
1 2 2
1 3 2
3 0 1
4 2 1
4 3 0
10 3
3 0 1
2 2 3
0 1 1
4 2 0
1 4 2
4 3 2
2 2 1
1 1 2
0 2 2
0 0 3
10 4
0 1 1
0 1 2
2 0 1
0 2 2
1 1 1
2 2 0
0 0 1
1 2 2
1 1 0
0 2 0
10 8
4 3 3
3 1 4
2 2 1
1 4 1
3 0 3
1 4 2
2 3 3
1 1 4
0 0 0
1 1 0
10 5
2 4 3
4 5 3
5 1 1
0 3 2
1 4 3
0 2 0
1 2 5
2 0 2
3 5 3
2 4 4
10 7
1 0 3
2 2 2
2 3 2
3 3 2
3 3 3
1 2 1
0 3 2
0 0 3
2 0 3
0 1 1
10 4
2 1 0
2 1 1
1 0 2
0 2 2
1 1 2
0 2 0
0 0 2
2 2 0
2 2 1
0 2 1
10 6
0 3 1
0 0 0
3 3 0
3 2 0
1 2 3
2 3 1
2 0 2
1 3 2
0 2 3
3 0 3
10 3
0 1 2
1 2 1
1 1 2
1 0 0
0 2 0
2 0 0
2 0 2
0 1 1
0 1 0
2 1 2
10 5
4 0 1
4 0 3
0 0 3
3 3 3
1 1 4
4 0 0
0 2 1
0 2 0
1 2 4
0 2 2
10 6
1 0 0
3 1 2
0 0 2
2 1 2
1 0 1
3 1 1
3 2 1
1 0 3
3 3 1
0 2 1
10 6
1 1 5
0 2 4
1 1 4
4 2 3
1 5 5
1 3 0
2 1 2
3 5 5
0 5 3
4 5 2
10 2
5 5 5
2 3 3
0 4 5
4 2 5
1 2 3
4 0 2
0 4 4
0 2 1
2 0 1
4 0 5
10 2
2 0 3
1 4 2
1 3 1
3 1 5
5 2 1
1 1 4
3 0 5
4 0 3
3 5 0
2 0 5
10 4
0 1 2
2 2 1
2 2 0
1 0 0
1 0 2
2 0 1
2 1 1
0 0 2
2 1 2
1 2 2
10 4
0 1 0
2 2 1
2 0 0
2 2 2
0 2 2
1 1 2
2 1 0
1 1 0
1 0 2
1 2 0
10 2
1 2 2
0 1 0
2 2 0
0 2 1
0 0 0
1 1 2
1 0 1
0 2 2
2 0 0
1 1 0
10 4
4 0 2
0 1 5
0 1 2
2 2 0
4 4 2
0 0 0
5 1 4
3 2 3
5 4 4
2 0 3
10 9
1 0 0
2 1 1
0 0 2
2 0 1
1 1 1
0 1 1
1 1 0
1 0 1
2 0 0
2 1 0
10 6
0 0 5
2 5 4
4 3 5
0 2 0
2 2 2
2 3 1
4 1 0
5 2 0
4 1 3
2 2 5
10 4
0 1 2
2 0 2
0 0 2
2 2 1
1 0 1
0 0 0
1 1 2
2 2 2
0 2 1
1 0 0
10 6
0 2 0
2 1 1
1 2 0
0 2 1
2 0 2
1 0 1
0 1 2
1 1 1
1 0 0
2 0 0
10 2
0 4 4
4 3 2
4 1 3
1 3 3
1 4 1
4 4 3
4 3 0
2 1 4
0 4 2
0 2 2
10 7
0 2 0
2 2 0
1 0 1
0 0 2
1 1 2
2 2 2
1 2 1
1 2 2
0 1 1
0 1 2
10 2
2 1 1
2 1 0
2 0 1
1 1 3
1 2 3
0 2 0
1 1 0
0 0 2
1 0 2
1 2 0
10 6
4 4 3
4 1 4
3 0 2
4 3 2
0 0 0
1 2 3
0 3 1
3 3 4
4 4 1
2 3 3
10 3
1 4 0
3 4 4
2 1 3
1 0 4
1 1 3
3 2 0
3 2 1
3 2 4
1 2 0
3 4 2
10 2
0 2 0
2 1 0
0 1 1
2 0 1
0 0 1
2 0 2
0 2 2
2 2 0
2 1 1
0 2 1
10 2
3 0 3
1 1 4
2 2 0
3 4 0
0 1 3
1 1 1
1 0 0
4 2 3
4 3 3
3 3 2
10 4
2 4 4
3 4 0
3 3 0
4 1 0
2 1 1
2 3 3
4 3 4
1 3 2
4 1 2
0 4 3
10 3
1 4 1
1 3 2
0 0 1
2 0 1
1 4 2
4 4 0
0 4 2
1 4 3
0 1 3
4 3 2
10 3
4 3 1
0 3 4
0 4 3
1 3 4
3 1 4
4 4 2
3 2 0
4 1 4
0 4 4
4 0 3
10 7
2 1 0
0 1 1
1 0 1
1 1 0
1 0 0
2 1 1
0 2 2
2 2 2
1 2 2
0 1 2
10 6
0 1 0
0 0 0
1 0 2
1 4 0
0 1 2
4 2 3
3 3 2
1 4 1
0 2 0
1 4 4
10 5
1 5 3
5 3 0
1 5 4
0 1 5
1 2 4
4 0 3
3 3 3
3 1 0
5 2 0
5 1 3
10 7
0 4 1
1 1 4
0 1 0
0 1 4
0 2 1
2 2 4
0 4 0
3 1 2
1 3 2
2 4 1
10 5
1 2 2
4 4 5
1 4 5
0 4 0
0 5 1
1 3 2
4 4 2
2 3 0
5 5 5
1 2 4
10 4
0 0 2
0 2 2
2 0 1
1 1 1
2 1 4
1 3 0
0 3 4
3 4 2
1 2 0
0 3 2
10 2
1 1 0
3 3 3
0 1 2
3 2 3
2 0 0
3 1 0
3 0 3
2 3 3
3 2 0
0 2 1
10 2
0 0 1
5 3 1
0 3 2
4 5 4
1 4 3
5 3 4
3 0 2
1 5 3
5 4 5
0 5 0
10 6
3 0 4
2 2 2
1 1 4
3 1 4
2 0 2
2 2 4
4 0 2
4 4 0
1 3 2
4 4 3
10 2
1 2 1
1 0 3
2 3 1
3 1 1
2 1 0
3 1 3
2 0 3
3 3 1
0 0 3
0 2 2
10 2
3 5 3
5 3 5
0 2 2
0 3 5
5 0 4
5 5 0
1 2 4
5 4 5
4 1 3
2 1 2
10 7
2 1 1
3 2 2
2 3 1
0 1 2
3 1 1
1 2 3
3 2 0
1 3 1
3 3 2
0 3 1
10 3
0 2 2
1 1 0
0 1 1
2 0 0
1 0 2
1 0 0
2 2 1
2 1 0
0 2 0
1 2 1
10 9
0 0 0
2 0 1
2 2 1
0 0 2
0 1 0
1 2 2
0 1 2
2 1 0
2 1 2
1 0 2
10 4
2 0 0
2 0 3
1 1 0
2 1 1
3 2 0
2 3 2
0 1 0
2 2 1
1 3 2
0 0 0
10 2
2 0 2
2 0 1
0 1 2
2 1 1
1 1 1
0 0 2
1 2 0
1 1 2
0 0 1
1 2 1
10 7
1 1 2
0 2 0
2 2 1
0 1 2
1 1 1
2 1 0
2 3 3
3 0 1
0 3 0
3 2 2
10 2
0 2 0
1 0 2
1 2 1
1 0 0
0 2 1
2 0 2
2 2 0
0 2 2
1 1 1
2 0 0
10 9
2 0 0
2 2 2
1 2 1
1 2 0
1 1 1
2 2 1
2 2 0
0 0 0
1 1 0
0 1 0
10 5
1 0 2
4 4 0
2 2 5
3 5 1
2 0 3
1 2 0
1 4 4
4 4 3
5 3 2
2 5 4
10 2
1 0 0
0 2 1
0 0 2
2 0 0
2 2 1
1 1 2
1 0 2
0 1 0
1 2 1
1 2 0
10 8
3 2 5
2 0 3
4 1 2
2 1 5
2 5 3
0 3 3
2 0 2
0 0 2
0 0 3
2 5 5
10 8
1 0 0
1 0 1
2 0 2
1 1 1
2 2 2
0 1 1
0 1 0
1 1 0
2 0 0
1 2 0
10 6
2 0 1
2 2 1
2 2 2
0 2 1
1 0 2
0 2 2
1 1 2
2 2 0
0 2 0
1 2 2
10 4
2 3 1
1 3 1
4 0 3
3 1 2
1 4 4
2 5 2
5 4 3
1 1 2
4 4 1
0 1 5
10 9
1 0 1
0 0 0
2 0 0
2 2 2
1 0 0
1 0 2
2 1 0
1 2 0
1 2 2
0 0 1
10 7
0 1 4
4 3 4
1 3 3
3 3 1
1 1 0
3 4 4
4 4 3
3 1 3
2 2 2
2 4 4
10 3
0 2 4
2 5 3
2 3 0
3 0 3
2 0 3
5 3 0
1 3 1
1 1 5
2 4 4
4 0 0
10 2
2 5 0
0 1 0
4 2 4
3 4 1
0 3 0
1 4 1
2 3 4
5 2 2
4 5 2
3 3 5
10 5
1 1 5
3 4 1
2 3 0
5 2 0
4 1 3
1 0 5
1 1 3
4 1 5
5 5 1
2 0 2
10 2
4 4 0
0 3 1
2 1 1
3 4 1
0 2 1
2 2 3
1 3 1
3 1 3
3 1 0
3 4 3
10 8
2 3 0
1 4 5
1 5 0
1 5 2
0 1 3
4 4 2
4 4 5
3 2 3
4 0 1
4 5 2
10 8
1 4 0
4 1 3
5 3 4
3 1 5
3 3 2
5 4 0
4 2 2
2 2 1
0 5 3
4 3 0
10 2
3 0 2
2 1 3
1 0 2
1 1 1
0 3 3
0 1 2
2 1 1
0 1 1
1 3 0
0 3 0
10 6
4 0 4
4 3 3
4 2 4
3 2 1
3 4 4
3 3 1
1 0 1
0 3 0
0 0 3
3 1 3
10 9
2 4 1
2 4 2
1 2 3
0 1 3
3 0 3
1 1 3
1 3 1
1 0 2
0 3 3
4 1 1
10 2
0 1 3
4 4 2
3 4 1
1 3 1
2 4 0
2 1 3
4 3 4
4 3 3
4 2 4
4 4 4
10 5
2 4 0
3 4 3
1 3 2
0 0 1
2 4 1
0 2 3
0 4 4
3 1 0
4 2 3
0 3 4
10 3
2 2 1
2 1 0
2 1 2
1 2 0
3 1 2
2 3 2
2 0 2
0 2 0
2 2 0
2 0 3
10 4
2 3 3
1 2 3
0 1 1
3 2 3
3 0 1
2 2 2
2 3 2
0 0 1
3 2 2
2 1 0
10 8
0 1 0
3 0 3
3 2 2
3 0 0
2 1 1
2 2 0
1 0 1
3 2 1
3 3 1
1 2 3
10 4
0 0 3
3 2 3
1 0 3
2 1 1
0 3 0
1 3 2
3 0 2
1 3 0
0 1 2
2 1 3
10 5
2 1 0
0 1 1
1 2 1
1 0 0
2 1 2
2 0 2
2 1 1
2 2 2
1 2 0
1 0 2
10 6
0 0 2
0 1 2
1 0 0
0 0 0
2 0 2
2 0 0
1 0 1
0 1 0
2 1 2
2 1 0
10 8
4 3 2
3 4 1
1 2 1
2 2 3
1 4 4
5 3 4
0 2 5
1 1 1
4 1 3
4 4 1
10 7
3 2 0
3 1 1
0 0 2
3 0 3
3 1 0
1 2 1
0 2 2
0 1 1
0 3 1
1 3 3
10 2
3 4 3
4 2 0
0 1 2
0 1 1
2 0 3
4 2 1
2 2 0
4 1 0
2 2 1
4 0 2
10 4
1 0 4
4 5 5
4 0 1
0 4 2
1 5 2
3 3 3
0 1 3
3 2 3
2 1 0
0 5 4
10 2
3 1 4
0 2 1
4 4 2
2 0 4
0 3 1
3 3 1
1 2 1
3 4 0
4 3 4
3 1 0
10 4
2 0 5
1 1 2
5 1 3
4 1 0
2 3 4
1 5 2
5 5 4
2 0 0
2 4 0
5 3 4
10 8
1 2 2
1 1 2
2 0 0
1 0 1
2 1 2
2 2 1
1 1 1
0 2 0
0 0 0
2 0 1
10 5
4 2 0
4 4 3
0 0 4
0 0 0
4 4 4
4 1 2
1 3 3
1 1 3
3 3 3
3 2 2
10 5
2 1 3
4 2 1
2 2 3
4 0 0
2 0 2
4 0 3
4 4 1
1 3 3
0 4 3
2 3 2
10 7
0 4 1
2 2 4
2 4 3
4 2 2
1 3 4
3 2 4
2 0 2
0 0 3
4 3 0
3 4 4
10 6
3 0 5
4 3 1
2 1 0
1 2 2
0 5 3
3 0 2
0 4 4
4 0 0
5 1 3
2 0 0
10 7
3 1 5
1 5 0
2 2 5
3 0 0
5 5 1
2 5 3
1 5 5
5 2 2
3 1 4
5 5 4
10 2
2 2 1
0 0 0
2 0 0
0 1 1
0 0 1
1 1 0
1 2 2
0 2 0
1 1 2
2 0 1
10 4
2 3 1
1 5 4
1 4 2
4 5 4
5 0 5
2 4 0
1 1 3
4 1 0
0 4 3
1 3 5
10 3
2 4 3
1 4 2
4 4 0
3 3 1
0 2 2
1 3 4
0 2 3
1 0 4
4 0 1
1 1 1
10 3
1 1 2
1 1 0
0 1 2
0 1 1
2 2 0
2 2 1
1 2 2
0 0 0
2 0 0
2 1 2
10 5
3 4 1
5 0 4
1 4 4
5 1 4
2 2 5
0 1 4
3 3 3
2 5 2
3 2 4
0 3 1
10 9
1 3 0
3 1 1
1 3 1
3 3 2
1 0 3
2 3 2
2 1 2
2 3 3
2 2 3
0 2 3
10 2
2 1 1
0 0 1
1 1 0
1 0 2
2 0 0
2 1 2
0 0 2
1 2 1
2 0 1
0 1 0
10 2
2 1 1
0 0 1
1 1 0
2 0 1
2 0 0
0 2 1
0 2 0
0 1 0
0 0 0
2 1 2
10 9
2 2 1
1 0 0
2 0 2
2 1 1
1 2 2
2 2 0
1 1 0
0 2 1
1 0 1
1 2 1
10 3
5 1 2
2 4 2
4 2 0
2 3 0
5 1 4
2 4 3
2 5 4
0 4 0
1 3 0
1 5 3
10 9
0 0 1
1 2 2
0 2 0
2 0 0
0 2 2
2 2 0
1 1 2
0 1 0
0 0 2
1 2 1
10 8
2 1 0
0 1 1
4 4 0
3 4 4
1 4 4
4 1 4
2 4 1
4 0 4
1 3 0
4 0 0
10 7
2 1 1
0 1 2
2 2 1
0 2 0
0 0 0
1 2 1
1 1 1
1 1 0
0 0 2
0 1 1
10 5
2 2 2
2 0 3
2 1 1
1 2 1
2 3 0
1 0 0
2 0 2
1 2 2
1 0 3
2 0 1
10 6
0 1 2
2 5 0
1 5 3
3 1 1
5 1 4
4 1 1
5 4 5
1 1 2
0 2 5
3 4 5
10 2
2 2 1
1 2 0
2 0 0
0 2 1
1 1 2
0 1 0
2 2 2
0 2 2
2 1 0
2 1 1
10 9
1 3 0
0 0 2
4 0 2
3 4 3
3 1 4
4 3 1
1 0 1
2 4 2
2 1 0
0 2 0
10 6
3 3 1
3 1 1
2 2 3
3 1 4
2 4 1
4 3 4
4 4 2
4 2 0
2 0 0
3 0 0
10 5
2 0 1
0 1 0
3 0 4
4 1 1
3 2 0
3 2 4
1 1 2
4 2 1
3 4 1
0 0 3
10 3
3 3 1
4 3 1
4 5 2
5 1 2
3 0 0
4 5 3
5 5 2
1 4 2
1 3 0
2 1 5
10 9
3 2 3
0 2 3
3 2 0
3 3 1
0 0 0
0 3 2
2 1 0
2 1 2
1 2 2
2 2 0
10 3
0 4 4
2 1 2
5 2 3
5 4 3
3 2 3
0 3 4
1 4 2
5 1 0
1 2 1
0 5 4
10 9
2 3 3
4 5 2
4 5 3
5 3 0
5 2 3
2 3 1
0 3 5
4 4 4
5 5 2
0 5 1
10 3
2 3 3
3 1 3
0 1 1
1 0 3
0 2 3
1 2 2
0 2 1
2 1 0
1 0 2
2 2 0
10 4
4 0 5
1 1 5
2 2 1
1 4 4
4 2 0
0 0 4
0 4 3
3 0 4
1 4 1
0 4 2
10 8
2 1 2
2 0 0
2 2 2
0 1 1
0 0 1
2 2 1
1 2 1
0 2 1
0 2 0
0 1 2
10 2
5 0 3
4 0 1
0 1 5
4 2 4
0 3 5
4 3 1
5 4 4
1 1 2
4 5 0
0 2 4
10 8
0 3 0
0 3 3
0 0 4
3 2 2
2 4 0
4 3 0
3 1 2
4 4 3
0 3 4
4 2 1
10 7
4 2 2
0 0 3
0 1 4
3 2 0
0 2 0
3 3 0
0 3 2
4 1 4
3 0 1
0 2 1
10 2
2 2 4
1 4 4
1 5 5
5 0 4
2 1 2
3 2 5
2 1 1
0 2 2
5 5 2
5 4 0
10 5
0 2 1
1 1 0
2 2 2
1 2 0
1 2 2
0 2 2
2 1 0
0 2 0
0 1 0
2 1 1
10 4
0 1 0
1 2 1
1 1 3
3 0 1
1 3 1
1 1 1
1 2 2
3 2 1
2 1 0
0 0 1
10 8
2 1 1
2 0 2
0 1 0
0 2 0
0 2 2
2 1 0
0 0 0
1 0 1
2 2 1
0 1 2
10 5
1 4 0
1 2 3
2 1 4
3 0 1
3 0 0
3 0 4
0 4 0
2 4 4
3 3 2
1 3 3
10 8
3 3 0
1 2 2
2 1 1
0 1 3
1 3 3
0 3 0
3 3 2
1 3 0
0 3 3
3 0 2
10 5
3 3 1
1 3 1
3 2 0
3 2 1
1 2 0
2 0 2
3 2 3
0 1 2
1 0 2
3 3 2
10 3
4 1 4
4 0 2
1 4 1
0 4 0
2 2 4
4 3 1
0 0 1
2 0 2
0 1 1
1 0 4
10 8
0 4 4
2 4 0
1 0 0
0 3 2
4 4 1
4 1 3
2 1 2
1 1 3
2 0 4
4 0 0
10 5
1 1 1
0 0 2
3 3 2
3 3 0
1 0 0
1 2 0
3 2 2
0 0 0
3 0 0
2 3 3
10 8
2 3 1
0 0 3
1 3 1
1 3 0
3 3 0
2 0 1
2 2 1
3 1 3
3 0 1
2 0 3
10 6
0 3 0
3 1 5
5 0 2
5 1 0
3 1 3
2 2 1
2 2 5
2 1 2
2 4 5
4 2 4
10 3
1 0 1
2 1 0
1 1 1
3 2 3
1 3 3
3 2 0
0 0 2
3 1 0
2 2 1
0 3 3
10 9
2 1 3
2 1 1
2 2 1
3 2 0
1 2 3
2 2 0
2 3 3
1 1 1
2 0 2
1 0 3
10 5
4 1 4
1 4 1
2 0 1
2 4 3
2 2 2
4 3 0
2 3 3
0 3 0
1 3 2
1 0 0
10 3
2 4 1
3 0 0
0 4 4
0 2 0
0 3 4
3 2 4
4 1 0
4 4 4
4 1 1
1 3 0
10 2
5 4 1
1 1 0
4 3 4
1 4 0
4 0 2
3 4 0
2 1 0
3 1 2
3 1 0
2 2 1
10 9
5 4 0
1 2 0
4 2 5
0 2 3
0 2 4
3 0 5
2 0 5
1 1 2
4 3 5
3 4 1
10 8
2 3 0
0 2 0
0 1 2
2 1 2
3 0 2
1 1 2
0 2 1
0 1 1
0 3 0
1 0 1
10 7
4 5 0
1 4 5
3 3 5
4 0 4
3 2 3
1 3 5
2 3 3
4 2 2
3 1 2
0 4 0
10 3
1 1 1
1 2 0
1 1 0
0 2 0
2 0 0
0 1 1
0 1 2
2 0 1
2 1 0
1 1 2
10 2
0 2 4
1 1 2
4 1 0
3 2 2
2 5 5
2 5 2
5 1 5
3 1 4
2 2 1
4 5 1
10 5
3 2 2
1 0 0
1 3 0
2 2 0
2 1 2
1 1 3
1 2 2
0 0 1
3 1 1
1 0 3
10 5
1 3 0
0 0 0
1 1 1
3 2 0
0 3 2
1 1 3
3 3 0
2 1 0
0 2 3
2 0 3
10 9
3 1 3
3 0 2
3 2 1
1 0 1
2 3 1
2 1 1
1 3 1
1 1 2
1 1 1
2 2 1
10 7
4 4 2
5 4 2
1 0 3
5 0 2
2 1 1
4 4 3
0 4 4
0 1 5
0 1 2
2 1 2
10 9
2 2 1
1 1 2
0 1 1
1 2 2
1 2 0
2 0 2
0 2 1
2 1 1
0 2 2
2 1 0
10 2
5 4 0
1 2 5
3 1 3
5 2 2
0 5 0
1 2 3
4 4 1
2 3 1
5 0 0
5 5 5
10 4
1 0 4
1 1 4
0 1 4
0 4 0
0 3 1
3 0 1
1 1 3
1 0 3
0 1 0
3 4 4
10 3
2 3 0
1 2 2
3 2 2
3 0 2
3 1 2
0 3 2
2 1 1
3 1 0
1 2 0
3 0 1
10 2
3 3 3
0 3 2
2 4 3
1 2 4
3 1 0
3 4 0
0 4 4
4 2 3
3 3 0
4 4 0
10 9
1 1 0
1 1 2
0 2 2
2 0 2
2 0 0
1 1 1
0 1 2
2 1 0
1 0 1
1 0 0
10 9
1 3 3
0 0 1
0 2 3
2 5 5
0 0 3
4 0 0
1 2 5
5 1 0
4 4 5
4 5 3
10 2
3 0 0
2 2 1
2 1 1
0 1 1
1 3 1
0 2 0
2 0 2
2 2 3
0 1 0
3 2 0
10 8
3 3 0
3 0 1
0 3 1
3 0 4
0 1 2
2 2 2
1 2 3
3 1 0
2 2 4
2 0 1
10 5
1 1 0
0 2 5
2 3 0
2 1 5
3 0 3
5 3 0
0 3 3
1 3 0
2 4 2
0 4 5
10 8
5 2 0
5 2 5
0 0 0
4 0 1
5 1 5
2 1 1
0 2 2
4 0 3
4 4 3
2 4 2
10 5
3 1 1
2 0 2
2 3 1
2 1 2
0 0 3
0 3 0
0 3 1
1 1 2
1 1 1
3 2 0
10 3
2 0 0
3 2 3
1 3 0
2 2 0
3 0 1
3 2 0
3 1 1
2 2 3
1 1 2
2 1 1
10 7
1 0 0
1 2 3
1 0 1
3 4 0
3 0 2
0 2 3
2 3 2
2 0 0
1 1 1
2 4 3
10 3
1 0 3
1 1 0
4 1 5
4 3 3
1 0 1
4 5 0
3 0 0
2 3 4
2 5 0
4 5 3
10 3
3 3 3
3 2 1
0 2 2
1 1 1
3 0 3
3 1 2
2 0 2
2 3 2
0 1 1
1 0 2
10 2
1 1 3
0 2 1
3 4 0
2 4 3
1 0 1
2 4 0
3 4 2
3 3 3
1 4 0
3 2 1
10 4
2 2 4
2 0 2
2 4 2
2 0 4
0 3 0
4 3 1
2 2 1
1 3 0
0 4 1
3 2 3
10 3
1 1 2
0 0 1
0 3 1
2 2 3
2 1 2
0 1 3
0 2 0
2 1 0
2 3 3
3 3 0
10 5
2 1 3
2 1 1
0 4 1
1 3 2
2 3 4
3 0 1
3 0 0
3 3 3
2 4 1
2 2 3
10 3
2 3 0
2 1 5
2 1 4
4 3 0
4 5 4
3 2 0
0 0 0
2 4 3
1 0 3
5 0 2
10 7
4 4 2
4 0 3
3 3 3
1 0 3
0 3 0
3 1 1
3 1 0
2 0 4
4 3 4
4 3 0
10 9
2 0 0
2 3 1
3 1 1
0 2 3
0 3 2
0 0 0
1 0 3
1 1 1
1 1 3
1 0 1
10 7
1 2 2
0 1 1
3 2 0
0 2 3
3 0 0
2 1 1
1 0 0
2 1 3
3 1 2
0 1 0
10 8
3 0 1
3 3 1
2 3 0
1 3 1
2 0 0
2 3 1
0 2 1
1 2 2
1 0 0
2 3 2
10 8
3 1 3
1 3 0
3 1 0
1 2 0
3 0 0
2 0 3
0 3 3
0 1 1
0 1 3
2 3 2
10 4
0 1 2
0 0 2
2 1 2
1 3 1
0 2 1
2 1 1
0 1 3
1 3 3
0 3 3
0 3 2
10 8
3 1 3
3 2 3
0 1 3
1 3 3
3 1 2
2 2 0
1 3 0
0 1 2
0 3 2
0 3 0
10 7
1 0 1
4 4 2
1 3 0
2 4 0
2 2 2
3 1 0
4 2 4
2 4 4
0 3 2
1 4 1
10 8
2 1 3
1 0 0
2 3 2
1 0 2
0 1 1
3 2 1
0 1 0
0 3 2
3 2 2
2 2 0
10 4
1 2 4
3 0 0
4 4 0
3 2 3
4 2 1
4 0 2
1 3 0
1 4 1
4 0 4
3 3 2
10 7
2 1 4
2 5 3
3 2 5
4 1 3
5 5 3
0 5 4
2 5 0
3 0 3
3 1 5
4 0 4
10 2
2 0 0
0 1 1
1 2 1
2 2 2
0 0 2
1 0 2
2 0 2
1 2 0
0 0 1
2 0 1
10 2
0 3 2
2 2 2
3 3 0
3 0 2
3 3 2
2 0 3
2 1 3
2 0 2
0 0 3
3 0 0
10 2
1 1 2
1 0 1
0 1 2
2 0 1
1 1 0
2 0 2
1 2 0
0 2 0
2 2 2
2 1 0
10 9
1 0 3
3 4 0
4 2 0
0 4 4
5 4 1
1 3 5
5 4 4
0 4 3
1 4 3
4 4 1
10 5
1 1 1
3 5 4
5 3 4
2 5 5
2 1 0
0 3 0
3 3 2
1 1 5
5 1 1
1 0 5
10 3
2 0 4
4 4 3
3 2 1
0 0 3
3 3 3
3 0 4
1 2 3
3 4 0
3 2 4
0 2 0
10 6
0 2 4
3 3 2
5 2 1
4 5 5
1 5 1
0 0 2
2 4 0
2 5 2
3 3 5
1 3 0
10 3
4 3 4
5 4 4
4 4 5
5 5 2
4 1 0
4 5 2
4 0 5
3 2 3
2 3 0
0 4 5
10 8
0 0 0
3 1 2
2 2 2
0 3 3
2 0 1
3 3 2
3 0 0
3 3 3
2 3 0
0 2 1
10 3
1 1 1
0 0 3
0 1 3
3 2 3
1 2 1
2 1 3
3 3 1
2 3 2
1 2 3
2 0 0
10 5
2 0 2
1 1 0
0 2 2
1 2 1
1 0 0
1 2 2
0 0 1
2 0 1
0 0 0
2 1 1
10 2
2 0 2
2 1 0
0 1 2
1 2 1
1 0 0
0 1 1
2 0 1
0 2 1
1 2 2
0 2 2
10 6
3 0 0
0 2 0
2 2 2
1 3 2
2 3 0
1 0 2
3 1 0
1 0 3
3 2 0
1 3 1
10 8
0 4 4
0 0 3
2 4 3
0 0 4
4 0 0
3 1 2
3 0 4
4 2 2
3 4 2
0 4 0
10 4
4 4 4
0 1 0
4 0 1
2 2 1
0 2 1
2 4 3
3 0 4
0 0 3
4 2 2
3 3 0
10 7
0 4 3
3 4 5
1 4 5
2 1 0
1 1 3
0 0 5
4 1 2
4 1 4
5 2 1
3 1 1
10 5
1 0 1
2 3 2
0 3 0
2 0 2
1 2 1
0 0 1
3 0 0
1 1 2
0 3 1
3 1 1
10 2
0 2 2
1 0 2
2 1 0
2 1 1
1 2 2
2 1 2
2 2 1
1 1 2
1 2 1
0 1 0
10 4
0 2 2
3 0 1
1 1 0
3 0 3
0 1 1
3 1 1
2 0 2
1 0 0
2 3 1
3 2 1
10 2
1 4 0
1 1 2
0 4 3
1 0 4
3 3 0
3 0 1
2 0 2
3 1 2
3 0 3
2 1 4
10 2
3 1 2
0 0 0
1 1 0
2 0 3
1 2 1
1 3 1
0 3 0
1 2 3
0 0 2
2 3 2
10 8
2 2 3
4 2 4
1 3 3
3 0 1
1 2 4
4 4 2
3 1 4
3 2 3
4 2 1
2 4 2
10 6
2 1 1
0 0 0
1 0 0
2 2 2
1 1 0
1 2 2
0 2 1
2 1 0
0 2 0
0 0 2
10 6
0 0 1
0 3 0
2 2 2
3 3 0
3 2 3
2 3 1
2 0 3
2 2 3
0 3 1
1 3 2
10 9
2 3 0
0 1 2
4 1 2
1 1 1
3 2 0
4 3 3
1 1 4
4 4 1
3 3 0
0 2 2
10 2
3 1 2
4 4 4
3 0 1
3 1 1
4 0 2
2 0 3
0 3 3
1 2 0
5 0 4
1 0 4
10 4
2 2 1
1 0 2
2 1 0
0 1 0
0 0 2
0 2 1
0 0 1
2 0 1
1 1 2
1 2 2
10 7
5 0 3
3 5 2
3 0 5
5 2 3
3 3 4
2 2 0
2 1 1
3 2 2
4 0 0
2 4 5
10 9
0 4 3
5 0 2
2 0 2
2 0 5
3 1 3
1 3 1
4 1 3
5 4 0
5 4 2
1 4 5
10 7
3 1 2
1 0 0
2 2 3
1 2 3
1 0 2
3 2 3
1 2 0
2 3 2
0 2 2
0 1 1
10 8
0 4 4
4 0 4
1 5 2
0 2 4
4 1 2
3 2 2
2 0 5
2 4 1
0 1 3
5 0 3
10 2
3 2 1
3 0 2
2 0 0
2 0 1
1 0 1
0 0 2
3 3 0
2 3 0
2 0 2
2 2 3
10 9
5 3 5
4 1 0
1 4 0
2 4 2
0 2 3
2 5 0
3 0 1
5 3 3
1 4 5
2 3 2
10 3
2 3 2
1 3 2
2 2 2
2 0 2
3 3 0
3 3 3
3 1 2
2 1 2
1 2 3
3 0 1
10 6
0 1 0
2 1 0
1 0 1
2 1 2
0 2 2
0 0 1
1 1 2
0 1 1
0 2 0
1 1 0
10 9
2 1 0
1 0 0
0 2 1
2 0 0
1 0 1
2 0 2
1 1 0
0 2 2
1 0 2
0 1 0
10 3
1 5 1
3 4 0
0 4 0
3 3 3
1 1 2
5 5 2
5 5 4
0 0 1
1 0 2
2 0 4
10 6
0 2 1
2 1 2
0 2 0
0 0 0
2 0 0
2 1 1
1 2 1
0 1 0
0 1 1
2 0 1
10 8
0 1 2
2 1 0
1 2 2
0 1 0
0 0 1
1 1 2
1 2 1
1 1 0
1 0 1
2 0 2
10 4
5 3 2
1 5 0
3 5 5
0 5 0
3 4 5
2 1 2
0 0 2
5 5 1
0 2 5
4 4 4
10 4
0 0 2
3 2 0
3 0 3
1 1 3
1 0 2
2 0 1
2 2 3
0 3 2
1 0 3
2 0 3
10 8
0 2 1
0 2 0
2 1 2
0 2 2
2 2 0
2 1 1
0 0 0
1 2 2
1 0 1
1 1 0
10 8
3 1 0
0 3 1
4 1 3
0 5 5
0 4 2
0 3 2
2 4 0
0 2 1
5 5 2
3 2 5
10 3
4 0 2
2 5 4
3 5 1
5 5 1
4 0 1
2 2 3
0 4 4
2 4 2
3 1 4
1 5 3
10 6
2 1 0
4 0 0
3 4 1
2 1 2
4 1 4
4 3 0
3 0 3
0 0 1
3 0 0
0 2 2
10 3
1 1 2
2 1 0
1 1 1
2 1 1
1 0 1
0 2 1
0 0 2
2 0 1
0 2 2
1 0 2
10 2
5 0 5
2 0 2
4 1 2
5 1 3
4 0 5
5 4 4
1 4 3
3 1 2
3 4 2
4 2 3
10 8
2 0 2
0 2 2
2 1 0
1 1 0
1 0 1
0 0 0
2 0 1
0 2 0
2 2 2
0 1 2
10 3
1 5 3
5 3 2
4 2 4
3 2 3
5 1 5
1 2 4
5 0 1
1 2 1
1 3 3
4 2 5
10 8
1 1 2
3 1 1
0 3 2
1 0 2
0 3 0
1 3 2
3 1 3
1 2 2
1 3 3
3 0 0
10 9
3 3 1
3 3 4
0 4 0
0 3 2
0 2 3
1 3 0
3 0 3
2 3 2
3 0 0
1 0 0
10 7
0 0 1
2 2 2
2 0 2
2 2 1
0 1 2
1 0 0
1 0 1
0 0 0
0 2 1
1 2 1
10 8
5 4 3
2 5 5
0 0 5
3 4 3
3 3 4
0 0 4
2 3 3
1 5 2
2 0 5
2 3 0
10 8
4 0 5
0 2 2
0 5 4
3 5 2
0 1 4
0 5 1
3 2 1
3 2 0
0 2 5
2 4 2
10 9
1 1 3
4 2 3
0 3 0
3 2 2
4 2 4
3 4 1
4 1 4
1 3 3
3 3 3
2 2 0
10 2
1 1 3
4 4 0
2 0 2
4 3 4
4 0 0
3 0 3
1 4 0
1 3 3
2 3 3
0 1 2
10 2
2 3 3
2 1 3
0 2 0
3 3 1
3 0 3
0 0 1
0 0 3
2 1 2
1 1 3
0 0 2
10 6
0 0 2
0 1 2
1 0 1
2 1 2
2 0 2
0 0 1
1 1 1
1 1 2
2 0 0
2 0 1
10 7
3 4 3
1 1 0
5 1 3
2 3 1
1 0 1
4 1 4
5 1 5
3 2 2
4 4 3
2 0 4
10 9
0 1 0
1 0 1
1 2 0
0 1 1
2 1 1
1 0 2
0 0 2
1 1 1
1 1 0
0 2 0
10 3
0 2 1
0 2 2
1 2 2
2 2 1
2 0 2
0 1 2
2 0 0
2 1 0
2 1 2
1 0 1
10 8
1 0 0
0 0 0
2 1 2
1 2 2
1 0 1
1 2 1
2 2 2
2 0 0
1 2 0
2 0 1
10 3
0 0 2
2 0 2
1 1 0
1 1 1
0 0 1
0 2 0
1 0 0
0 2 2
0 2 1
2 1 0
10 2
2 1 3
4 3 4
1 0 3
2 4 3
1 1 3
3 1 0
2 4 4
4 1 0
0 2 3
3 2 2
10 9
4 3 4
0 0 2
2 3 0
2 1 1
0 3 0
1 1 0
3 2 0
4 2 2
0 1 2
4 1 1
10 5
0 1 1
0 2 0
5 0 1
2 2 0
4 4 4
0 0 5
2 5 1
3 0 4
5 4 3
4 5 1
10 4
3 3 3
2 1 0
0 2 3
2 3 3
0 3 3
3 2 0
2 0 2
2 3 0
1 0 2
3 1 1
10 7
1 1 0
0 0 1
1 1 1
0 2 1
0 1 0
1 0 1
0 1 1
0 1 2
2 1 1
2 2 1
10 3
3 1 0
2 0 0
3 3 1
3 3 3
1 2 3
3 1 3
0 1 0
2 3 1
2 3 3
2 2 2
10 4
2 2 1
0 0 0
1 2 3
1 1 1
3 0 3
0 1 1
3 2 1
2 0 3
2 1 3
2 1 1
10 3
1 0 0
1 2 2
0 1 0
2 1 1
0 0 1
1 0 1
1 2 1
0 2 0
2 0 1
2 1 2
10 9
2 2 3
0 0 4
1 1 5
1 3 4
4 0 5
1 3 2
4 1 5
5 3 5
3 3 0
0 1 1
10 5
2 2 4
0 3 0
2 2 2
4 3 4
4 1 4
3 3 2
0 3 1
4 0 2
2 2 3
1 3 3
10 4
1 0 0
0 1 1
1 2 1
0 0 2
1 2 2
1 0 2
2 0 1
1 1 1
1 1 0
0 2 1
10 3
1 0 2
2 0 1
4 3 0
1 2 1
2 3 1
0 2 1
3 0 3
2 1 0
1 1 2
3 2 2
10 9
1 0 0
0 0 1
2 2 1
0 0 2
1 2 2
2 0 2
1 0 2
1 2 0
0 2 1
2 1 1
10 2
0 3 2
1 1 3
3 0 0
1 2 3
2 3 1
1 3 1
2 2 0
1 2 0
1 0 1
0 3 0
10 9
0 3 1
1 0 1
1 0 3
1 2 3
1 3 3
0 0 1
2 2 1
0 3 2
3 0 0
2 3 0
10 9
0 1 1
1 1 2
1 2 0
1 2 3
0 2 0
2 3 0
0 0 1
1 3 3
0 2 1
2 2 0
10 6
0 2 4
2 1 2
4 2 2
2 3 0
1 0 1
3 4 0
3 2 4
2 2 1
0 1 3
4 0 3
10 7
1 0 0
1 0 3
1 3 4
5 0 0
0 2 3
2 0 4
3 0 2
0 0 0
3 4 4
5 1 5
10 9
2 4 1
1 3 1
0 1 3
2 1 3
2 4 2
2 2 2
1 2 2
2 3 4
1 3 3
4 0 3
10 8
2 2 0
1 0 1
1 2 2
0 1 2
2 1 2
2 1 1
1 0 2
0 2 2
2 0 0
2 0 2
10 8
4 1 4
3 4 4
0 3 2
4 2 0
3 3 1
4 0 3
2 3 4
4 2 1
1 0 2
1 1 2
10 2
0 1 1
1 1 1
2 3 1
2 0 2
2 2 3
2 3 3
0 1 0
0 2 1
2 1 1
0 2 3
10 3
2 2 3
1 0 4
0 3 0
3 2 4
0 4 0
4 0 1
0 0 2
3 1 1
1 2 4
1 2 2
10 7
2 0 2
2 1 1
0 0 2
2 1 0
2 2 0
0 0 1
1 0 0
0 2 2
0 1 1
0 1 0
10 5
4 2 4
3 0 2
1 3 2
2 1 2
4 3 1
1 2 2
2 2 4
0 4 2
2 3 2
2 1 0
10 7
5 0 2
2 1 0
4 0 3
0 3 3
3 0 2
2 4 4
2 4 0
0 4 1
2 2 2
5 2 2
10 4
2 1 0
1 2 4
0 4 4
1 3 3
3 0 2
3 0 1
3 3 4
0 4 3
0 3 3
3 1 3
10 2
0 3 1
1 0 1
1 2 3
1 3 1
0 0 3
3 0 3
3 1 3
2 3 2
2 2 1
1 1 3
10 4
0 2 2
1 1 2
0 2 0
2 0 2
2 1 0
2 0 1
0 1 1
1 2 0
1 0 0
0 0 2
10 7
3 0 4
3 3 3
0 2 3
4 0 0
4 4 1
0 1 0
4 0 1
0 4 1
4 1 3
1 2 0
10 2
2 0 2
1 3 2
0 0 1
0 1 2
1 0 0
2 0 1
1 1 0
3 0 0
3 3 2
1 3 0
10 8
1 3 1
0 1 2
2 1 1
0 2 0
1 2 0
1 0 2
3 0 3
0 0 0
2 1 2
1 2 1
10 3
0 2 2
1 2 2
0 1 0
1 0 1
2 1 0
1 1 2
1 1 0
2 0 2
0 0 0
1 0 2
10 8
2 5 3
4 0 3
0 5 4
2 5 5
2 3 0
0 4 4
4 3 1
1 0 1
0 5 0
1 3 1
10 3
1 2 2
0 1 1
2 0 1
2 0 0
1 2 1
1 0 1
1 1 2
2 2 0
0 2 2
2 1 1
10 3
2 3 0
3 3 2
3 3 3
1 2 0
3 0 2
1 3 0
0 1 3
2 3 1
0 3 0
1 1 1
10 8
1 1 2
1 2 1
0 2 2
2 0 1
0 0 0
0 0 1
2 2 2
0 0 2
2 2 1
0 2 0
10 2
1 2 1
0 2 1
1 1 2
2 2 2
0 0 0
2 1 1
0 1 2
1 0 1
2 1 2
1 0 0
10 3
2 1 1
1 2 3
3 3 1
3 3 2
3 2 1
3 0 0
2 2 3
0 3 2
2 2 2
3 1 2
10 8
2 3 1
0 3 1
2 3 3
2 1 2
2 0 2
0 1 1
0 0 0
3 3 1
1 0 3
0 0 2
10 4
1 2 1
0 1 0
2 1 2
1 1 1
1 0 0
2 0 2
1 1 0
0 1 1
0 2 2
2 0 1
10 5
1 3 2
2 1 3
3 3 1
2 2 1
0 1 3
2 1 1
0 3 0
1 0 1
0 0 3
2 2 3
10 2
3 5 2
3 2 2
4 0 1
1 3 2
0 3 4
2 1 3
3 3 0
5 5 2
3 4 2
2 3 0
10 4
5 3 3
3 5 5
1 2 5
0 2 0
4 4 1
4 1 1
5 5 1
2 4 5
0 5 3
4 3 2
10 6
4 2 0
5 3 3
1 1 5
2 3 0
0 3 4
4 3 0
1 4 1
1 0 1
0 2 4
1 1 1
10 8
3 3 0
1 5 0
0 2 5
1 3 4
1 1 0
1 5 2
1 1 4
3 3 3
1 1 3
0 1 3
10 3
3 0 1
2 1 2
3 1 0
2 3 0
0 1 0
1 1 0
0 0 1
0 0 2
0 2 3
1 3 1
10 5
2 3 2
1 1 2
2 1 0
0 2 2
3 1 2
1 1 3
3 2 3
3 1 3
1 0 2
0 1 1
10 4
5 0 2
4 0 1
3 3 2
5 3 0
4 2 2
0 0 5
2 3 0
1 5 2
0 0 1
5 5 0
10 2
0 2 0
1 0 0
3 0 0
3 2 0
0 0 0
1 1 1
0 3 1
0 3 3
2 0 1
0 0 1
10 3
1 0 0
0 1 1
0 0 0
1 0 1
1 1 2
0 2 0
2 1 2
2 0 0
1 0 2
2 2 1
10 6
2 3 1
2 3 2
3 2 0
1 1 0
2 1 3
0 2 0
3 3 3
0 3 0
2 2 2
0 1 1
10 7
1 0 2
0 2 3
1 0 1
0 1 3
3 0 2
3 1 2
3 3 2
3 2 1
3 3 1
1 1 1
10 5
2 0 0
2 2 2
2 2 0
0 1 2
1 2 2
2 1 2
2 0 2
1 1 1
2 2 1
0 2 2
10 8
2 1 2
2 2 1
1 1 2
2 2 2
0 2 0
0 0 2
1 0 0
1 1 1
0 1 2
2 2 0
10 3
3 1 4
2 3 1
4 4 0
4 4 2
1 3 3
2 4 5
3 0 3
2 0 2
3 2 0
5 2 3
10 3
3 0 0
3 2 3
4 4 1
0 1 5
1 1 1
4 0 3
0 1 1
3 0 4
1 4 3
5 4 3
10 6
4 2 1
2 3 0
0 2 0
2 4 3
4 3 0
4 0 4
2 2 3
1 3 2
1 0 2
2 1 4
10 9
0 0 1
0 0 2
1 0 1
1 2 1
2 2 1
0 2 1
0 1 2
2 1 1
1 2 0
1 2 2
10 3
5 0 1
3 4 2
4 3 3
4 4 0
3 1 2
4 0 2
5 3 3
3 0 0
0 4 0
4 5 3
10 4
1 0 1
0 2 2
0 1 1
0 1 0
2 1 1
1 2 0
1 0 2
1 0 0
1 1 0
1 1 1
10 4
2 1 0
0 2 1
2 3 2
0 1 0
3 0 1
0 3 0
1 2 2
1 2 1
3 0 2
0 1 1
10 6
3 4 1
2 5 3
4 4 1
0 2 3
1 0 0
0 5 3
1 1 3
1 0 3
3 5 4
1 3 2
10 9
4 3 0
3 3 2
1 2 3
1 0 0
1 4 2
1 0 4
2 3 4
2 0 4
0 3 4
2 0 1
10 9
4 1 4
2 0 4
0 0 0
1 3 1
4 0 0
1 4 1
0 2 1
0 1 1
1 3 2
0 3 4
10 7
1 4 4
3 1 3
3 3 0
2 0 1
3 2 3
0 0 1
1 4 1
1 3 1
2 0 4
0 1 2
10 6
2 2 2
4 3 3
2 0 1
1 4 2
0 1 2
1 0 4
4 1 2
0 2 4
3 3 1
0 2 1
10 6
1 3 3
0 2 3
2 4 5
1 4 4
4 3 3
3 4 0
5 1 1
5 5 5
4 3 4
4 0 1
10 6
3 3 2
4 0 2
3 1 0
4 3 4
1 4 2
1 1 4
3 2 3
2 1 2
0 1 3
3 1 2
10 8
1 1 2
1 2 2
1 1 1
1 1 0
2 1 0
2 2 2
1 2 1
2 1 1
0 0 0
2 1 2
10 5
2 2 1
1 2 0
0 1 0
2 0 1
1 0 1
2 2 2
2 1 0
1 2 2
0 0 0
0 1 1
10 4
0 1 0
0 3 3
3 2 1
2 2 2
1 2 1
1 2 2
2 2 3
1 3 1
2 0 0
3 0 2
10 5
4 0 4
4 0 2
2 1 4
2 4 2
1 2 4
3 1 1
3 3 0
2 4 3
2 3 4
3 1 0
10 3
4 0 4
5 1 5
2 1 0
3 4 4
1 2 4
1 1 3
4 3 5
2 2 5
2 5 1
0 0 5
10 6
0 1 2
2 0 0
2 2 1
0 0 0
1 2 1
1 0 1
1 2 0
1 1 2
2 2 2
2 1 0
10 9
2 0 1
2 2 0
3 3 1
1 0 0
3 0 3
1 0 2
1 1 3
2 2 3
0 3 0
0 1 2
10 8
1 0 1
0 3 2
0 2 3
0 0 3
0 4 3
0 1 0
1 2 1
4 2 0
3 2 0
2 3 3
10 2
0 2 2
1 2 2
1 1 0
0 2 1
0 0 0
1 2 1
0 0 2
2 0 0
1 0 0
0 1 1
10 4
0 3 1
1 1 1
2 3 0
3 3 3
2 2 2
1 3 2
3 1 3
2 2 3
3 2 3
1 2 3
10 8
2 3 3
0 0 0
1 1 0
1 2 0
1 1 1
3 3 0
3 0 2
0 3 3
2 0 0
0 1 0
10 9
0 1 4
4 0 0
3 4 4
2 3 3
1 3 2
0 0 2
2 0 2
2 4 3
1 2 0
4 0 4
10 7
2 2 0
1 1 0
1 0 0
2 1 1
1 0 1
2 0 1
2 1 2
0 0 1
0 2 0
1 2 1
10 8
0 0 0
2 0 1
0 1 2
1 2 0
1 1 2
1 2 2
0 1 1
0 2 1
2 1 0
2 2 1
10 5
0 0 0
1 0 2
1 2 2
1 1 2
1 0 0
2 1 1
2 2 1
0 0 1
2 1 2
0 0 2
10 6
4 1 3
3 2 0
0 3 4
5 1 5
2 5 0
3 1 2
1 1 4
2 2 1
2 3 4
1 2 3
10 4
1 0 1
1 1 2
2 0 2
1 2 0
2 1 0
0 1 2
0 0 2
0 1 1
1 2 1
2 1 1
10 4
0 0 0
2 0 1
0 1 0
3 4 2
4 4 1
2 3 1
1 1 1
3 4 3
3 4 0
3 2 1
10 6
5 2 4
5 4 3
0 4 5
0 0 0
0 4 4
1 3 2
0 2 4
2 1 4
1 1 2
2 2 1
10 9
2 3 2
4 1 1
3 4 4
3 3 1
1 4 1
2 0 1
4 3 4
3 4 3
3 4 1
1 3 0
10 7
0 1 1
0 2 0
2 0 1
0 1 2
1 2 2
0 0 2
0 2 1
2 0 0
0 0 1
2 1 0
10 3
4 1 1
4 0 0
2 5 4
3 0 2
4 4 5
1 1 1
3 3 3
1 3 2
5 3 1
2 0 1
10 3
2 3 2
0 0 0
0 3 3
0 2 3
3 1 2
2 2 3
1 3 3
1 1 0
1 0 1
2 0 1
10 9
0 0 2
2 0 1
2 0 0
0 1 0
1 0 1
0 2 1
0 2 2
1 1 2
2 2 2
1 0 2
10 4
4 4 4
1 3 4
1 4 1
1 4 4
4 2 1
1 3 2
4 2 2
0 4 2
0 1 0
1 4 2
10 2
0 4 4
2 0 1
0 2 1
3 0 3
4 2 3
0 0 1
0 4 2
3 1 1
2 1 2
4 3 4
10 5
0 2 2
3 0 2
4 5 2
2 4 2
2 0 4
1 2 5
5 0 2
4 0 2
4 2 5
1 5 1
10 6
0 4 1
0 2 3
0 3 5
3 5 3
0 5 3
0 3 3
1 0 0
5 1 4
1 5 3
3 0 3
10 8
2 1 1
0 2 3
1 0 0
2 1 3
2 2 0
3 1 1
2 0 2
3 2 2
3 0 0
0 3 3
10 9
0 0 3
3 2 4
4 2 0
1 5 4
0 0 4
1 4 1
0 4 2
3 3 0
2 2 5
5 3 0
10 2
3 4 1
2 3 2
4 4 2
4 3 2
3 4 3
2 0 4
4 1 0
1 1 0
4 0 2
0 2 3
10 5
0 0 1
1 1 2
1 1 0
1 1 1
2 1 2
1 0 1
1 2 1
2 0 0
1 2 0
2 0 1
10 4
0 4 2
5 0 1
4 4 1
1 3 3
1 0 4
3 2 5
5 4 4
5 5 2
0 4 1
3 5 0
10 5
0 0 3
0 3 0
1 3 0
2 3 3
3 3 2
2 2 1
0 2 1
3 1 3
2 2 3
2 0 0
10 9
2 0 0
0 1 1
0 0 0
1 2 0
0 0 2
1 2 1
1 0 2
2 0 1
2 1 2
0 0 1
10 2
3 1 3
2 2 3
1 3 2
0 1 0
1 1 0
1 1 2
0 0 0
2 2 0
0 2 1
3 0 1
10 5
1 4 4
1 5 0
1 4 2
4 1 0
5 5 3
4 4 3
4 3 3
2 2 2
3 3 4
2 3 1
10 9
0 5 3
3 4 4
5 5 3
3 2 1
5 0 5
2 1 1
2 0 5
1 2 3
1 2 2
4 4 2
10 5
2 3 1
5 0 5
4 3 0
0 2 2
5 2 4
1 5 0
4 2 1
5 0 1
5 5 5
2 3 3
10 3
3 2 2
2 0 4
1 1 0
0 4 2
2 4 2
1 1 4
2 4 1
2 3 0
4 4 1
4 0 3
10 4
2 0 2
1 1 0
2 1 2
2 1 0
1 2 1
2 0 1
0 0 0
0 2 1
0 2 2
2 0 0
10 4
3 1 1
3 3 4
4 3 2
1 3 4
2 1 4
4 2 4
0 4 0
2 1 1
0 4 4
3 0 2
10 2
0 1 0
1 1 0
0 2 2
0 1 1
2 2 0
2 1 2
1 1 2
2 0 2
2 2 1
0 0 0
10 3
1 2 2
2 1 0
2 0 1
0 1 1
2 1 1
1 0 0
2 1 2
0 2 1
0 1 0
0 2 2
10 5
3 2 3
1 1 1
2 1 2
0 3 2
2 3 4
2 2 3
1 0 1
4 3 4
2 4 0
2 1 3
10 7
0 1 3
3 1 3
3 0 1
1 1 0
3 2 0
0 2 3
1 1 4
4 4 2
0 2 1
4 1 4
10 5
2 0 1
1 1 1
3 3 3
2 3 1
0 2 3
0 1 0
1 2 2
2 3 0
2 0 3
0 2 1
10 3
3 1 0
0 2 1
3 2 2
3 0 2
3 1 3
0 2 2
2 1 1
1 3 3
1 1 1
0 0 1
10 7
2 2 5
2 3 4
5 0 1
0 3 3
1 0 5
3 5 2
1 4 3
2 5 0
0 3 1
0 5 5
10 9
1 0 2
1 3 3
1 1 3
1 2 1
3 1 4
4 0 3
0 3 2
3 4 0
1 2 0
3 4 1
10 6
0 0 2
2 0 2
0 2 1
2 2 1
0 1 2
1 0 0
1 0 1
2 2 2
1 1 0
1 0 2
10 4
2 4 1
3 3 0
1 0 0
3 4 3
1 0 1
0 1 3
3 1 3
2 4 4
3 2 2
2 1 4
10 4
2 1 3
3 0 1
2 3 3
0 0 0
2 3 1
1 0 1
0 0 1
2 1 0
0 1 0
2 3 2
10 8
3 3 0
3 4 3
2 1 3
2 1 1
3 2 5
2 3 1
5 2 3
3 0 4
2 5 4
0 1 3
10 2
1 1 2
2 0 2
2 0 0
1 2 1
1 1 1
1 2 2
0 1 1
1 1 0
2 1 1
2 1 2
10 5
2 1 2
0 0 1
2 0 1
1 2 0
0 1 0
0 1 1
1 0 2
1 1 1
2 1 1
2 2 1
10 4
3 0 3
3 0 0
0 0 0
1 0 3
1 1 3
2 2 0
2 2 1
1 1 0
0 3 2
1 0 0
10 3
2 2 1
2 0 1
3 2 4
1 2 3
4 3 1
4 5 0
3 3 2
5 1 4
0 0 0
2 4 4
10 6
4 3 5
5 2 4
5 0 0
0 2 0
4 1 3
5 0 1
0 1 0
0 4 2
1 5 2
5 5 0
10 6
1 0 5
2 5 3
3 3 1
5 0 0
0 4 2
4 2 4
1 0 3
1 2 4
0 3 1
5 1 0
10 2
0 1 2
0 2 2
1 2 0
1 2 2
1 0 1
1 0 2
0 0 1
2 0 1
2 0 2
2 1 1
10 4
2 1 0
3 3 0
0 1 0
0 0 2
2 3 1
2 0 0
0 3 2
0 0 3
1 0 2
3 0 1
10 5
2 2 2
1 2 2
1 1 1
2 0 0
2 1 2
0 1 1
1 2 1
1 0 2
0 1 2
1 0 0
10 2
5 3 3
2 1 4
3 1 5
1 5 0
0 1 1
5 1 2
3 3 5
4 0 5
1 3 4
1 4 4
10 3
0 2 5
1 4 1
5 1 5
5 3 1
0 2 2
1 1 4
2 2 2
4 5 1
2 5 1
4 4 0
10 2
5 5 1
4 0 2
0 3 5
0 2 4
2 1 3
1 5 0
1 3 0
4 5 1
4 1 3
4 5 5
10 8
0 4 2
1 2 4
4 1 2
0 3 4
4 3 4
2 4 4
1 1 2
1 0 1
2 1 0
0 1 3
10 4
4 4 4
1 1 2
4 0 2
4 2 4
0 4 2
2 1 3
3 0 2
3 2 2
1 4 0
2 2 4
10 6
3 1 1
0 2 0
1 3 0
0 2 2
2 2 0
0 1 0
2 1 3
1 0 1
3 0 3
2 3 1
10 9
0 0 0
2 2 1
2 0 1
2 1 1
2 1 2
0 1 0
0 2 0
0 1 1
2 2 0
1 2 0
10 7
2 1 0
1 2 1
1 1 0
0 1 0
0 0 1
1 0 0
0 1 1
1 2 2
0 0 0
2 0 1
10 6
4 1 1
1 1 0
0 2 0
4 4 2
1 4 2
2 4 3
4 2 1
2 4 1
3 4 2
4 0 3
10 6
5 3 1
0 0 3
0 2 3
5 3 4
2 4 3
1 2 4
5 3 2
5 2 1
3 4 0
1 2 2
10 3
0 0 0
3 1 3
2 4 5
3 5 1
1 0 3
1 1 1
1 5 5
0 4 2
3 5 2
2 3 4
10 8
1 0 4
0 0 1
4 5 4
4 5 1
3 4 4
4 2 1
2 1 2
2 2 1
5 5 4
0 2 5
10 7
3 1 3
2 1 3
3 2 3
2 0 0
1 1 3
3 0 2
1 3 3
3 3 1
2 3 2
0 3 0
10 9
2 2 0
0 4 4
2 0 1
0 4 2
5 3 2
2 5 4
3 5 2
5 0 1
4 3 1
2 5 0
10 2
0 4 2
0 0 2
0 2 3
0 3 3
3 1 2
0 4 4
3 1 0
1 4 3
0 1 1
1 4 4
10 7
1 0 1
2 1 2
1 0 0
2 2 2
1 2 0
0 1 1
2 2 0
0 0 0
0 1 2
1 1 1
10 5
5 5 4
1 3 0
1 5 2
0 4 4
1 5 3
5 2 2
0 1 1
0 4 5
2 3 0
2 5 1
10 2
1 1 1
1 1 0
2 0 0
0 2 2
0 1 0
1 2 0
1 2 1
0 0 1
0 2 1
2 0 2
10 7
0 2 1
0 0 2
1 2 2
2 1 0
2 1 1
2 2 1
0 2 0
2 1 2
1 0 2
2 0 2
10 4
3 0 1
1 0 2
0 0 3
1 1 2
3 1 1
0 0 1
2 3 3
2 0 3
3 0 2
1 3 3
10 8
4 4 1
1 4 3
1 4 1
5 3 5
0 1 2
0 3 4
1 1 5
2 4 3
3 2 0
5 3 2
10 5
4 3 2
2 4 0
3 4 1
4 3 0
3 3 1
2 4 3
4 4 3
0 1 0
0 4 1
1 0 2
10 8
2 1 1
1 0 2
2 1 2
1 1 0
0 2 1
0 1 1
2 2 1
0 0 1
1 0 0
1 2 0
10 5
2 0 2
1 1 1
2 2 2
2 2 0
0 2 2
0 2 1
1 0 1
1 2 1
1 2 2
1 0 2
10 9
1 2 1
0 3 4
0 0 3
4 3 4
3 0 4
1 3 0
2 3 2
4 1 1
3 4 2
4 4 4
10 9
4 0 4
4 2 4
3 4 3
1 2 3
2 0 4
0 1 1
3 3 4
3 1 2
4 0 1
0 0 2
10 2
2 1 0
0 0 1
0 0 0
2 0 0
2 1 1
1 2 2
2 0 1
0 2 1
1 1 2
1 0 2
10 9
3 3 4
0 2 0
2 5 5
0 0 0
3 5 0
4 1 5
1 5 1
3 2 3
3 5 1
3 1 2
10 2
0 2 2
1 1 2
2 1 0
0 0 0
1 0 2
1 2 2
1 1 1
2 2 1
0 1 2
2 0 0
10 4
3 4 0
1 3 2
1 0 4
3 2 1
0 5 0
1 5 0
1 1 4
5 4 4
1 3 3
2 4 4
10 6
1 0 2
4 3 2
0 1 2
4 5 4
5 2 4
1 3 3
5 0 3
3 5 4
1 1 5
1 1 1
10 3
2 2 4
0 2 0
4 3 4
1 3 2
0 3 2
4 1 4
0 3 1
2 1 3
1 0 4
4 4 0
10 5
1 0 1
1 0 2
1 1 2
2 0 0
2 0 1
1 2 1
1 1 0
2 0 2
2 1 2
0 2 1
10 5
1 0 4
0 4 4
1 1 0
2 2 1
2 0 3
2 4 3
4 4 2
3 0 1
4 2 1
3 3 2
10 2
0 1 2
1 1 2
1 2 0
1 1 1
2 2 2
2 2 1
0 1 1
0 2 2
2 0 1
2 0 2
10 7
2 0 0
1 2 1
2 0 1
2 1 1
2 2 2
1 0 1
0 1 2
2 2 1
2 2 0
2 0 2
10 4
0 0 0
1 1 2
2 1 1
2 2 2
0 1 1
0 2 1
0 2 2
2 1 0
0 2 0
0 1 0
10 6
2 0 3
1 4 4
5 4 0
3 1 5
1 5 5
4 4 1
1 0 4
1 5 4
5 5 5
4 5 5
10 6
0 3 3
1 3 1
1 4 1
5 2 1
4 1 3
1 3 3
1 1 1
3 2 3
0 5 5
1 0 0
10 9
2 0 0
2 0 1
2 2 0
1 1 1
1 2 2
1 1 2
0 0 2
2 2 1
0 2 0
2 1 1
10 7
1 0 1
2 2 0
0 2 2
0 1 1
2 1 2
2 0 2
1 2 2
1 0 2
0 1 2
2 2 2
10 9
2 2 2
2 1 0
4 2 1
1 0 0
1 0 3
1 3 1
4 0 3
1 4 2
4 3 1
3 0 1
10 2
1 1 4
2 1 2
2 2 0
3 4 2
3 0 3
0 3 3
3 2 3
1 0 3
1 4 1
3 1 3
10 9
1 3 0
4 4 0
2 4 2
3 3 3
1 4 4
1 1 3
2 0 4
4 1 2
1 2 3
2 0 1
10 9
3 2 3
3 3 0
3 0 1
3 3 3
3 1 0
3 2 2
1 2 0
0 3 3
1 0 2
0 1 1
10 6
0 1 0
2 0 0
1 0 0
0 2 2
2 1 2
1 0 2
0 2 1
1 2 2
2 2 0
0 1 1
10 2
4 4 0
4 0 3
0 2 1
3 4 4
4 3 4
2 2 1
1 2 1
1 1 1
1 1 2
4 2 1
10 5
4 3 2
4 4 3
2 1 3
1 4 1
1 0 0
0 2 2
4 3 0
0 1 3
1 3 1
2 0 0
10 2
1 1 0
2 0 2
2 2 2
2 2 0
2 1 0
0 0 1
0 2 0
1 1 1
0 0 0
0 1 2
10 8
2 0 2
2 1 3
4 4 2
4 1 4
0 0 4
4 0 3
2 1 2
3 2 4
3 1 1
1 3 2
10 4
5 3 3
0 4 5
0 2 4
2 0 0
0 0 1
3 0 3
1 4 4
0 4 2
3 1 5
4 0 3
10 3
2 3 0
3 1 1
1 1 0
0 2 3
1 0 0
1 1 2
1 0 3
1 2 1
3 1 0
1 3 0
10 7
0 0 3
4 2 3
2 3 0
1 2 1
3 3 1
4 1 4
1 0 4
2 3 1
2 4 4
3 3 2
10 2
1 2 3
2 2 2
4 2 1
3 4 2
3 3 3
0 0 0
2 1 0
4 0 4
4 0 2
0 1 0
10 3
2 1 2
2 2 2
2 2 1
0 1 0
1 0 0
2 2 0
0 2 2
1 1 1
2 0 1
0 0 2
10 9
1 1 0
0 0 1
0 1 2
2 2 1
2 0 0
1 0 1
1 0 2
1 2 1
2 0 2
0 0 0
10 2
2 1 0
0 2 2
2 0 2
0 2 0
2 2 1
1 2 2
2 1 1
2 1 2
1 1 0
1 0 2
10 4
1 3 2
0 3 3
3 0 1
2 0 0
2 3 3
2 3 0
3 1 3
1 0 2
1 2 1
2 1 1
10 2
3 4 3
3 3 2
0 1 0
1 1 2
0 5 3
3 2 0
5 3 1
1 3 2
1 2 2
4 3 2
10 3
0 2 3
0 3 2
3 2 1
0 3 0
2 0 1
2 2 3
2 0 3
1 0 3
2 0 0
3 2 2
10 9
2 1 3
2 1 2
2 1 0
0 0 3
0 0 2
2 2 1
3 0 0
1 1 0
1 1 3
0 3 1
10 5
0 0 2
4 0 3
0 2 0
3 3 2
2 2 3
3 0 3
0 4 0
4 1 0
2 1 0
3 4 1
10 7
3 0 4
4 5 2
2 4 5
5 0 0
1 3 4
4 1 5
1 4 5
1 3 3
3 3 2
2 3 0
10 7
4 3 2
3 0 0
3 0 4
4 1 2
2 4 4
4 1 1
3 3 3
3 1 0
1 1 3
1 1 4
10 2
2 0 1
0 1 1
1 1 2
2 2 1
2 1 0
2 0 0
2 2 0
0 1 2
0 1 0
2 1 2
10 6
0 3 1
2 3 1
3 2 2
0 2 2
1 4 1
0 4 3
2 4 0
2 1 4
2 0 4
2 2 4
10 2
1 3 2
3 3 2
1 2 3
1 1 1
3 1 0
3 0 0
3 1 2
2 1 1
2 1 0
0 0 2
10 4
1 4 2
3 1 5
4 3 3
3 1 1
1 1 0
0 4 0
1 3 1
5 4 3
0 5 5
2 3 5
10 9
2 2 3
5 3 2
4 3 5
0 4 5
2 0 0
1 3 3
3 3 1
0 3 0
3 3 3
2 5 2
10 8
1 1 1
1 0 0
2 0 1
2 1 2
0 1 2
0 2 0
2 1 0
0 1 0
1 0 2
0 2 1
10 6
1 0 2
0 1 2
1 2 0
0 2 1
2 1 2
0 0 0
0 2 0
2 2 2
1 1 1
0 2 2
10 5
2 5 0
2 1 2
4 2 1
1 0 1
4 4 1
3 0 4
4 1 1
0 3 4
4 5 2
5 0 4
10 9
0 1 1
0 4 2
0 5 5
5 1 5
4 0 3
2 1 2
1 5 2
2 2 0
4 0 1
4 5 4
10 3
3 2 0
0 2 1
3 2 1
3 3 3
3 1 0
0 1 1
1 3 0
3 2 2
0 0 3
0 0 0
10 8
4 0 5
0 1 5
0 5 1
2 0 5
3 4 0
2 3 1
5 3 2
4 4 3
1 3 1
5 5 5
10 7
1 1 2
1 1 1
0 0 1
1 2 1
0 2 1
2 0 1
0 2 0
1 2 0
1 2 2
2 1 1
10 7
2 1 0
2 2 1
0 0 3
3 2 0
2 1 2
1 3 2
3 1 1
1 0 0
1 0 1
3 0 3
10 3
1 2 2
2 3 3
3 1 3
1 1 1
1 0 3
3 0 2
0 3 1
2 1 2
2 1 3
0 0 3
10 7
2 4 0
2 4 4
3 1 2
0 2 4
2 4 1
2 2 0
4 4 2
4 4 3
2 0 0
2 4 2
10 6
5 1 1
1 4 0
4 2 5
4 4 2
5 5 1
2 1 3
4 2 0
0 1 1
5 2 5
5 3 0
10 3
2 0 1
2 3 2
2 0 2
2 3 1
3 2 4
2 1 4
3 3 4
4 3 3
1 4 0
0 3 1
10 7
2 3 2
4 4 1
1 0 4
5 4 2
4 2 4
5 1 4
3 0 4
2 1 1
3 3 4
4 1 5
10 5
4 4 0
4 2 3
2 4 4
4 0 1
2 2 1
2 3 2
0 4 2
3 0 4
2 0 3
0 0 3
10 2
1 2 2
3 4 2
0 2 4
3 1 3
1 1 2
0 1 0
0 3 2
0 1 2
0 4 3
0 1 1
10 2
3 4 3
1 1 1
0 1 2
3 3 2
3 1 2
2 3 4
0 1 3
3 4 2
3 4 0
1 0 2
10 9
2 0 0
1 2 1
3 4 0
4 4 1
0 1 3
3 1 4
3 2 4
3 4 3
4 0 0
1 4 3
10 2
2 1 1
0 0 2
2 1 3
0 0 3
2 2 0
1 0 0
3 1 2
3 0 2
2 2 2
2 3 1
10 9
0 1 2
0 0 0
0 1 0
1 2 2
2 0 1
1 0 2
2 1 2
1 0 0
2 2 0
2 1 0
10 2
2 2 2
0 1 2
2 1 2
1 2 1
0 0 1
2 2 1
1 1 0
1 0 0
1 2 0
1 1 1
10 2
4 2 2
1 1 0
1 0 1
3 5 2
3 2 3
0 0 5
2 5 3
0 0 0
1 3 3
1 0 0
10 4
0 0 1
3 1 3
4 3 2
0 4 4
0 2 4
0 4 1
4 3 0
2 1 1
0 3 3
0 0 2
10 3
0 2 4
1 3 4
4 4 2
4 3 0
4 4 0
3 1 0
0 2 0
1 1 2
1 1 1
1 4 4
10 3
2 1 0
1 2 1
2 2 1
0 2 0
0 2 2
2 2 0
2 0 1
1 1 1
1 2 2
2 0 0
10 5
1 1 4
0 3 0
3 4 3
2 3 0
0 5 4
0 4 2
2 5 3
1 2 4
1 3 0
2 3 3
10 8
1 1 2
1 1 1
2 1 1
0 0 1
0 1 1
1 0 0
2 2 0
2 1 0
2 0 2
0 2 2
10 6
1 2 1
2 2 0
2 0 2
0 1 1
2 0 1
0 1 0
1 0 0
0 2 0
2 2 1
1 2 0
10 6
3 1 3
0 2 0
1 1 2
2 1 1
1 0 1
2 0 0
3 3 2
2 3 2
1 2 1
3 0 2
10 5
0 1 1
0 3 3
2 0 0
0 2 3
3 4 3
4 4 2
0 0 4
2 0 3
2 2 0
3 4 2
10 4
4 3 1
0 1 1
0 0 2
3 2 4
4 1 2
0 3 1
0 3 2
2 1 1
0 0 1
3 0 2
10 2
2 0 2
2 0 0
2 1 2
2 0 1
1 0 0
1 2 2
2 1 0
1 2 0
0 2 1
0 0 1
10 5
1 4 2
3 5 5
5 3 2
2 5 4
4 0 0
4 2 3
2 0 3
0 2 0
0 5 3
5 2 5
10 7
0 1 2
2 0 2
2 2 1
0 0 1
2 2 2
0 0 2
2 1 0
2 0 1
1 0 1
1 2 0
10 6
5 2 2
3 2 5
1 4 3
5 5 1
4 4 4
4 3 4
4 4 1
1 4 2
4 4 2
1 0 3
10 8
4 3 4
3 0 4
1 4 1
1 3 2
1 0 2
2 0 4
4 3 3
0 0 2
3 2 1
4 2 1
10 6
2 1 2
1 1 3
3 3 1
1 1 0
1 3 3
1 3 0
2 2 0
0 2 2
2 2 3
1 1 2
10 5
0 3 2
3 3 0
2 3 2
2 0 2
2 0 0
4 0 1
1 0 1
2 4 4
1 2 0
1 1 1
10 9
5 3 4
4 3 4
0 4 0
4 3 3
5 1 0
2 0 0
4 2 4
0 5 5
1 3 3
2 3 4
10 8
0 0 2
3 0 3
3 0 1
2 2 3
0 3 2
1 2 2
3 1 3
3 1 1
3 2 1
1 0 2
10 9
3 2 3
3 1 0
2 2 0
3 2 1
2 0 2
3 3 1
2 3 2
3 3 0
1 0 0
1 0 1
10 9
0 4 4
2 0 3
3 1 3
0 3 3
1 0 2
4 1 3
4 1 0
0 4 2
4 0 2
0 2 4
10 8
1 3 0
0 3 2
2 4 4
3 2 1
1 1 0
1 0 4
2 1 2
2 2 3
4 4 2
4 3 4
10 7
4 0 3
4 5 1
5 3 3
3 3 1
5 1 1
1 1 5
3 3 0
2 3 0
2 5 1
1 5 3
10 7
2 0 4
0 4 4
1 1 1
4 3 2
3 4 2
1 0 3
4 0 4
3 1 2
2 2 2
2 3 3
10 5
3 3 0
3 3 2
3 0 1
0 3 0
1 2 1
1 0 1
2 2 1
3 1 2
1 1 2
0 3 1
10 5
3 1 0
0 2 2
3 0 0
0 1 0
0 2 3
1 0 1
0 3 0
2 1 0
2 3 1
1 2 1
10 9
3 4 1
3 1 5
4 1 3
2 5 2
4 2 5
3 3 1
2 4 3
0 4 4
1 5 4
4 0 2
10 2
2 3 0
0 0 3
0 3 3
2 0 1
1 0 2
0 0 1
1 0 3
3 2 0
2 1 3
3 1 1
10 6
1 1 0
0 2 1
1 0 2
2 2 0
2 0 1
1 2 1
2 2 1
0 2 2
2 0 2
2 1 2
10 9
5 0 4
3 0 2
4 2 1
4 0 2
0 0 5
1 1 3
0 1 2
4 2 5
2 3 0
4 4 1
10 7
0 1 3
1 3 0
2 2 3
1 0 3
1 2 3
1 1 0
2 0 0
0 0 1
0 3 2
3 0 1
10 5
2 0 3
3 0 3
2 0 0
1 3 3
0 0 1
2 1 1
1 0 2
0 2 3
0 3 3
2 2 2
10 7
3 3 1
5 0 3
5 5 1
4 1 3
2 0 1
3 3 3
3 3 4
4 2 5
0 1 4
5 0 2
10 7
0 3 5
2 4 5
0 0 2
4 0 3
4 4 2
1 1 0
1 0 5
5 2 0
2 3 1
3 3 3
10 3
5 3 4
0 3 0
2 5 2
5 1 0
3 0 1
5 3 0
4 5 2
0 4 5
5 5 3
5 2 0
10 4
0 2 2
3 1 3
0 3 1
3 2 2
1 2 3
2 3 1
1 2 1
1 3 3
3 3 0
1 0 3
10 3
4 4 4
0 1 1
1 3 1
0 1 4
2 0 3
2 2 1
3 2 0
1 4 4
2 3 2
0 4 4
10 8
0 0 1
0 4 3
2 2 1
3 3 1
3 2 1
0 2 0
0 3 4
1 1 0
3 2 0
2 2 2
10 9
3 1 0
5 4 4
4 0 1
3 1 1
4 1 0
0 4 3
3 0 0
0 2 1
4 2 3
0 4 1
10 6
2 0 1
1 2 2
0 2 0
0 1 2
2 1 2
1 0 1
1 0 2
2 2 2
2 1 0
0 0 2
10 4
0 3 2
0 3 0
2 2 1
0 3 3
4 4 4
0 2 1
4 1 2
0 2 0
1 2 0
1 3 1
10 3
1 2 1
0 3 0
0 2 1
0 3 2
2 0 1
3 1 2
0 3 3
0 0 0
1 2 3
0 1 2
10 3
3 3 2
2 1 1
3 3 3
1 1 2
0 1 3
0 1 1
0 3 3
3 1 1
2 2 2
2 1 3
10 6
3 4 2
3 1 3
1 0 0
2 1 2
1 4 4
2 2 3
2 4 1
4 3 0
1 0 3
0 4 4
10 7
3 3 1
5 4 1
1 3 4
3 5 4
3 0 3
0 5 0
3 3 4
0 5 2
5 2 1
5 0 3
10 2
3 1 3
3 2 2
3 2 0
0 2 2
2 2 3
3 3 0
0 0 1
2 2 0
0 0 2
1 1 1
10 9
3 0 0
1 2 1
2 3 2
2 3 1
0 1 3
1 1 0
1 0 3
2 2 1
3 2 2
2 0 2
10 6
0 2 0
0 4 4
2 3 1
2 1 0
3 4 4
0 3 4
3 1 2
4 2 1
2 0 4
0 4 3
10 4
4 1 0
0 3 3
4 0 5
0 5 1
4 0 1
0 3 5
4 5 2
1 5 2
2 3 3
0 1 3
10 7
0 3 4
5 5 1
0 4 4
0 5 1
0 0 4
5 2 2
3 2 5
1 0 0
5 5 5
0 5 2
10 3
5 0 1
4 5 5
0 0 0
5 0 0
1 0 3
4 1 2
0 5 2
2 5 3
3 3 4
2 4 2
10 2
0 0 0
0 3 0
3 2 3
3 0 0
0 2 0
1 3 0
0 0 2
2 2 3
3 3 3
0 1 3
10 4
3 1 3
1 1 0
2 0 4
1 1 3
4 4 4
0 4 4
2 2 4
3 4 4
3 3 1
4 4 0
10 7
3 2 4
4 2 1
0 4 0
1 0 0
3 2 3
2 1 2
2 4 3
1 4 0
0 4 1
4 4 1
10 4
4 1 4
1 1 2
1 4 0
2 4 4
4 3 4
3 2 3
0 0 3
3 4 0
0 3 3
0 1 4
10 2
1 2 0
0 1 0
2 0 2
1 0 0
1 0 2
0 0 0
0 1 1
0 2 1
2 0 0
2 2 0
10 7
0 1 1
2 1 1
0 2 1
2 0 0
0 1 0
1 2 0
1 1 0
1 1 2
0 2 0
2 1 0
10 2
2 3 0
2 0 3
0 0 1
0 2 3
1 2 1
2 3 3
2 0 1
3 3 3
0 3 2
1 0 3
10 2
2 0 0
0 1 0
2 2 0
1 1 2
2 1 0
0 0 2
2 1 2
1 0 0
0 0 0
1 0 1
10 8
2 2 1
0 3 3
0 3 4
5 1 5
2 0 2
1 4 5
3 3 4
1 5 3
2 3 5
3 1 5
10 7
4 5 0
0 2 3
2 0 2
4 2 5
4 2 3
3 1 3
2 4 3
3 0 1
5 1 4
3 2 5
10 2
2 0 0
1 1 3
2 3 1
0 0 1
0 1 1
2 3 2
0 1 2
0 0 3
0 3 3
1 1 1
10 9
2 0 0
0 1 0
2 0 2
1 2 0
2 1 2
1 0 2
0 2 0
0 1 1
1 0 0
1 1 1
10 8
1 2 0
1 1 1
1 2 2
2 0 2
0 1 1
2 0 1
0 1 2
2 1 1
0 2 2
1 1 0
10 9
2 2 2
0 0 0
0 0 1
1 1 0
2 1 2
2 0 2
1 2 0
1 2 2
2 2 1
1 1 2
10 8
5 3 4
3 4 2
5 4 2
0 4 0
0 2 2
0 2 5
5 5 3
0 3 4
1 0 0
5 1 4
10 8
4 4 4
5 4 3
2 3 3
1 0 0
4 2 4
5 3 0
3 5 5
2 0 4
2 1 2
4 4 3
10 3
2 0 0
0 0 2
1 1 2
1 1 1
2 1 1
2 2 1
1 1 0
1 2 2
0 2 0
0 0 0
10 4
0 1 0
0 1 1
2 2 1
2 0 2
0 2 0
0 1 2
1 1 2
2 1 0
1 1 0
0 0 2
10 7
2 0 4
5 4 5
3 4 3
3 5 1
4 0 4
4 3 1
5 2 5
1 0 0
4 5 0
1 0 2
10 6
2 1 3
2 3 2
1 4 3
3 4 0
2 4 0
4 3 4
3 4 2
3 4 3
1 4 1
2 0 4
10 8
2 0 1
1 4 4
4 3 0
4 0 4
3 1 2
4 2 0
0 2 4
2 3 2
1 0 2
0 1 2
10 7
2 4 2
3 1 4
0 3 3
4 2 4
0 3 1
0 2 1
3 1 2
4 3 1
2 1 0
1 2 4
10 9
2 1 1
0 1 2
2 1 0
0 2 0
1 0 1
2 2 0
0 0 0
0 0 1
2 2 1
1 2 2
10 5
2 2 1
0 1 2
1 0 0
3 0 1
1 4 2
1 1 1
1 2 0
2 2 0
3 2 4
0 4 3
10 4
4 2 3
4 2 4
3 5 2
4 4 1
1 2 2
0 2 4
5 0 4
2 2 1
0 3 0
4 3 3
10 3
0 1 1
1 0 0
0 2 0
2 1 1
2 2 0
2 2 1
1 2 2
0 0 0
0 0 2
2 1 0
10 9
2 3 1
3 2 3
1 0 4
5 1 1
2 5 0
1 1 2
3 4 3
0 3 2
1 4 0
0 2 0
10 2
2 0 3
1 1 1
3 3 0
2 3 0
1 1 3
3 2 1
0 3 0
1 2 2
2 1 3
2 1 1
10 2
1 3 1
2 1 1
1 3 3
0 0 0
1 0 0
1 0 3
3 0 1
1 1 2
3 2 1
1 2 1
10 6
2 3 4
1 2 4
0 0 2
2 2 2
4 0 3
2 1 1
4 2 3
1 1 1
3 1 2
2 0 3
10 2
3 3 2
3 1 1
1 0 0
3 1 3
0 2 3
1 0 2
1 3 3
2 3 0
3 2 0
0 3 3
10 7
1 3 1
2 2 0
3 4 4
3 3 1
4 2 0
0 2 3
4 4 3
1 3 0
3 0 4
1 1 2
10 5
2 2 0
0 3 2
3 2 3
1 2 4
0 4 4
1 1 3
4 3 1
4 0 2
2 4 3
2 1 1
10 4
0 0 1
2 1 1
3 2 2
2 1 0
1 0 1
1 2 0
0 2 3
2 3 3
0 3 1
1 0 0
10 9
2 1 0
1 2 0
2 0 1
1 1 2
1 1 1
0 1 2
0 0 1
0 2 1
0 0 2
2 2 2
10 2
2 4 3
3 4 5
4 0 3
5 3 2
4 4 2
0 5 4
0 0 3
5 2 1
3 0 2
3 4 2
10 6
2 3 5
5 1 1
1 1 4
3 5 0
4 5 1
4 5 3
0 5 4
2 2 4
5 3 5
1 2 2
10 2
0 0 1
0 1 2
2 2 1
2 0 2
0 2 0
2 1 0
2 0 0
0 1 0
1 2 0
1 1 1
10 4
3 0 3
3 1 3
0 0 3
3 1 1
1 2 4
0 4 0
4 3 0
0 2 4
2 1 0
4 3 2
10 3
1 0 0
0 1 1
3 3 3
2 0 2
2 3 2
2 3 3
0 0 3
0 3 1
3 3 2
2 3 0
10 2
4 0 4
0 3 0
1 0 3
3 2 0
1 2 4
3 3 1
3 3 4
4 3 3
0 4 2
3 0 4
10 3
2 3 3
0 3 2
0 1 4
0 4 2
1 1 0
1 3 4
3 0 2
0 1 0
0 4 3
4 3 4
10 9
0 0 0
2 0 4
3 4 3
4 4 1
0 4 3
2 1 1
1 5 4
0 4 4
4 5 3
2 2 5
10 3
4 3 2
4 2 2
2 4 4
2 1 3
4 1 0
3 3 1
0 0 0
3 4 1
4 4 2
3 3 0
10 8
3 1 1
3 1 0
3 2 2
4 4 2
2 3 3
4 1 3
0 2 0
4 1 4
3 3 4
2 3 2
10 8
5 2 2
3 5 5
4 0 4
0 0 1
3 0 3
1 1 1
2 4 4
0 3 1
4 4 4
0 4 5
10 8
0 0 2
0 0 1
1 1 2
1 1 0
2 0 2
0 1 0
1 2 2
0 1 1
2 2 2
2 0 1
10 7
3 2 4
1 2 5
4 1 4
3 3 5
0 0 0
1 0 3
4 5 4
1 5 2
0 3 5
3 0 0
10 8
3 3 3
4 0 4
5 3 5
5 0 1
5 3 4
3 0 2
1 4 1
5 3 1
3 1 2
0 2 1
10 9
0 2 3
2 2 0
3 0 1
3 0 2
3 1 3
0 3 2
2 2 1
2 3 2
2 0 3
0 2 1
10 6
5 4 4
4 1 5
2 4 0
0 3 5
2 3 2
3 0 5
5 1 0
0 5 5
1 4 4
3 3 3
10 7
0 1 0
1 2 2
2 2 1
1 1 0
2 2 2
2 1 2
1 0 1
0 0 1
2 0 2
0 1 2
10 4
2 2 0
1 2 1
0 0 0
0 1 2
1 0 2
2 1 1
0 2 0
1 0 0
2 1 2
0 1 1
10 4
2 2 3
2 0 0
2 3 2
3 0 2
3 3 1
2 2 1
0 2 1
0 0 2
0 2 0
2 2 2
10 9
2 2 2
1 2 2
2 1 0
1 0 1
0 1 1
1 2 1
2 2 0
1 1 1
2 0 2
2 1 2
10 3
0 0 0
2 1 0
1 1 1
1 2 1
0 0 1
1 1 2
1 0 2
0 1 0
1 1 0
2 2 1
10 6
2 2 0
1 4 3
2 3 2
3 4 1
4 0 4
4 4 0
1 0 4
0 2 0
4 1 4
1 0 0
10 4
2 0 2
3 1 3
1 3 5
0 2 3
4 2 0
3 4 2
4 5 5
1 2 5
1 5 2
3 4 5
10 3
0 1 0
2 0 1
0 0 1
0 1 1
0 2 0
0 2 1
1 0 0
0 1 2
1 2 2
1 0 2
10 3
0 2 2
0 2 0
2 2 1
0 1 0
1 0 2
1 0 0
0 0 0
1 2 2
0 1 2
1 1 0
10 3
1 0 0
1 3 1
0 1 3
2 0 1
0 1 0
0 3 2
1 3 3
2 0 0
0 1 2
1 2 2
10 2
1 0 4
3 2 0
0 2 1
0 1 1
2 0 0
1 4 4
4 4 1
4 3 2
4 0 1
3 4 2
10 4
3 1 3
1 3 1
1 3 3
3 0 3
3 2 0
2 0 3
2 1 1
3 1 0
3 1 2
3 0 2
10 6
3 2 2
4 4 4
2 3 4
1 1 3
3 1 3
1 4 4
4 3 3
1 1 2
4 3 1
2 1 3
10 4
2 3 0
2 1 1
3 3 2
3 1 1
1 1 2
1 2 3
3 1 2
3 0 3
0 1 1
3 1 0
10 2
0 0 0
1 0 0
1 1 1
1 2 2
1 0 2
2 2 2
1 2 1
0 0 1
2 0 1
0 1 0
10 5
2 3 0
2 0 3
0 2 3
0 2 1
3 3 0
0 3 2
3 0 1
3 3 2
1 1 2
0 1 1
10 6
1 0 0
1 3 3
3 3 3
1 3 1
2 1 3
0 3 2
2 2 0
3 2 3
2 0 0
0 3 1
10 6
0 2 1
0 1 0
0 1 2
1 2 2
1 1 0
0 2 2
1 0 0
1 2 1
0 1 1
2 0 1
10 6
1 1 1
0 5 3
5 0 3
3 0 5
2 5 3
3 1 5
2 4 5
5 0 5
2 0 1
0 5 0
10 5
1 1 0
0 2 1
1 0 0
3 0 3
2 0 2
2 2 1
0 2 3
3 3 3
3 3 2
2 2 2
10 8
3 3 2
0 0 0
1 1 3
3 0 0
0 2 3
3 3 1
2 2 1
1 2 1
2 0 0
1 0 0
10 9
4 2 4
4 1 0
1 1 2
2 2 1
0 3 2
0 0 1
4 4 0
4 3 2
2 2 2
1 4 4
10 2
0 1 1
1 4 3
4 3 0
4 5 0
5 1 3
2 4 2
2 1 0
1 5 4
3 3 1
0 5 5
10 5
0 0 1
2 2 2
2 0 1
0 1 1
1 1 2
0 1 2
2 2 1
2 2 0
2 1 0
1 2 2
10 3
3 3 0
2 3 1
1 3 2
0 3 0
3 0 3
2 0 3
3 2 0
1 0 0
3 2 2
1 2 0
10 9
1 5 2
3 3 0
0 5 4
0 0 4
4 1 0
2 3 5
1 1 2
3 3 4
1 2 0
2 2 3
10 5
3 3 0
2 3 2
3 2 0
3 1 1
2 3 3
2 2 1
2 2 2
3 1 2
2 3 0
0 2 1
10 9
1 4 3
2 1 3
1 0 3
3 4 2
3 1 1
0 0 2
2 2 4
3 4 3
0 3 2
4 2 4
10 3
2 2 4
1 2 1
3 0 5
4 1 1
1 1 0
3 2 1
4 3 5
4 5 0
0 5 2
1 2 5
10 3
2 5 2
4 0 0
2 5 4
2 3 4
2 2 3
5 5 4
3 5 5
1 4 0
1 5 3
1 3 0
10 8
2 0 1
2 1 2
0 2 0
0 1 1
0 0 2
0 1 2
1 1 2
1 0 1
2 2 1
2 1 0
10 3
1 0 3
1 3 0
0 2 2
3 1 0
0 0 3
3 2 0
0 1 1
1 1 0
3 2 3
2 0 2
10 6
0 2 1
3 4 0
3 4 2
0 1 0
4 1 4
2 2 3
3 0 1
3 0 4
3 4 4
4 2 0
10 7
2 4 1
4 0 2
1 0 4
0 2 4
1 4 0
0 3 2
3 2 4
4 4 1
3 1 2
3 1 5
10 7
2 3 0
3 2 0
0 3 2
2 2 1
3 1 2
0 0 0
0 1 2
1 1 0
2 1 3
3 1 0
10 8
1 2 1
1 1 0
0 2 2
2 2 0
1 0 1
0 1 1
2 2 1
2 1 0
2 1 1
1 2 2
10 8
3 5 3
0 5 5
5 5 0
5 0 0
3 1 2
4 4 3
4 0 5
4 2 3
3 1 0
4 0 3
10 2
2 2 1
0 1 2
1 1 3
3 1 3
0 0 2
3 1 0
1 1 1
3 3 1
2 0 0
2 0 1
10 4
3 1 1
1 5 3
3 1 0
5 1 4
5 5 2
0 5 4
3 0 2
0 2 5
2 5 2
3 2 2
10 5
4 5 3
2 3 2
3 2 1
1 3 2
1 2 5
1 5 1
5 2 1
4 3 0
2 2 5
4 2 1
10 5
4 4 3
2 0 1
4 3 1
4 0 3
3 1 3
4 1 0
4 4 4
3 0 4
0 1 3
0 1 4
10 4
0 0 1
0 0 0
1 2 0
1 0 2
2 2 2
0 2 2
1 2 2
0 1 2
1 2 1
2 1 2
10 2
3 3 0
3 1 2
0 3 4
1 2 3
2 3 1
2 0 2
1 2 2
3 3 1
2 2 1
3 3 4
10 8
0 4 0
3 0 3
5 2 0
5 1 3
5 0 3
4 4 4
4 4 1
1 5 1
0 5 2
4 0 5
10 2
1 0 2
1 2 1
1 2 2
1 1 2
1 0 1
2 2 0
2 0 0
1 1 0
0 0 0
2 1 0
10 3
2 2 2
2 1 2
3 3 2
1 2 3
3 2 3
2 1 3
0 2 2
1 1 0
1 3 3
0 0 1
10 8
4 2 1
4 0 0
0 0 3
0 3 4
0 3 0
2 3 1
2 4 0
4 1 2
4 1 4
1 4 2
10 6
2 3 4
0 3 3
0 3 2
4 4 1
3 0 0
1 3 1
4 4 2
4 0 1
0 0 2
3 3 1
10 7
0 0 2
2 1 1
0 2 0
0 0 0
2 2 0
0 1 0
1 0 2
0 2 2
2 2 1
2 0 2
10 4
3 2 4
5 3 2
0 4 0
5 3 0
4 4 1
1 1 1
4 4 3
3 1 3
4 0 3
2 3 0
10 8
0 0 3
0 0 0
2 0 1
0 1 0
3 3 1
3 0 0
3 3 3
2 0 2
0 0 1
3 2 1
10 8
2 0 1
0 1 1
0 1 0
0 2 1
1 0 1
2 2 0
2 2 2
0 0 2
0 1 2
2 0 2
10 6
4 2 2
1 2 3
3 4 1
4 0 4
0 1 3
3 1 2
0 0 3
2 0 2
3 3 3
0 0 2
10 7
2 1 2
0 2 0
2 1 1
0 1 1
2 0 0
0 1 0
0 2 1
1 0 1
1 0 2
2 2 0
10 4
5 1 3
2 1 3
5 4 1
3 0 1
4 5 5
1 1 2
2 1 0
4 0 4
1 4 5
4 0 1
10 8
1 4 5
3 4 0
0 1 0
1 1 2
3 3 5
5 0 4
2 1 4
5 3 5
1 5 5
3 2 2
10 4
0 0 0
0 2 0
2 2 1
2 2 3
3 3 2
1 3 3
1 0 0
1 2 3
3 0 2
1 0 3
10 9
3 3 5
1 3 0
4 2 0
3 5 1
0 2 4
2 2 2
1 0 3
4 1 1
2 4 4
5 3 3
10 5
3 0 0
0 3 4
1 3 0
3 1 4
3 4 1
1 1 0
1 0 0
2 4 2
0 3 2
3 0 4
10 8
1 2 0
3 3 1
0 0 3
3 0 0
1 4 4
0 3 2
2 0 4
3 2 1
0 4 3
2 3 1
10 2
2 0 1
2 5 2
4 3 2
1 2 1
4 5 4
4 1 2
4 2 4
3 4 4
4 5 0
2 4 0
10 4
2 0 2
0 3 3
2 1 0
2 1 1
3 0 0
3 1 2
0 0 2
0 2 1
3 0 1
3 2 0
10 2
0 2 1
2 2 1
0 1 1
0 1 2
2 1 0
1 1 0
0 0 2
1 1 1
1 2 2
0 2 2
10 8
1 2 1
1 0 2
2 0 1
2 2 2
0 0 1
0 1 2
1 1 1
1 2 2
1 1 2
1 1 0
10 5
4 4 4
2 2 0
2 1 3
0 4 2
3 0 2
1 2 2
3 3 1
3 3 2
2 4 1
5 5 2
10 4
4 0 4
3 2 4
1 1 4
4 1 4
1 0 2
1 2 1
2 0 3
0 2 2
0 2 0
1 4 2
10 8
2 2 5
0 5 5
5 4 3
2 2 0
5 5 3
2 4 2
1 2 2
3 2 1
2 2 2
5 2 4
10 2
4 5 3
2 5 0
3 4 2
4 0 2
1 4 2
3 2 0
1 1 2
2 1 0
2 5 5
0 1 1
10 2
1 2 3
2 2 2
0 3 3
0 2 3
0 0 1
2 1 0
0 3 2
3 1 1
1 3 3
1 0 1
10 9
4 0 5
0 5 4
3 4 3
4 3 3
5 3 0
5 2 1
5 4 1
3 0 5
1 2 0
3 4 0
10 4
2 2 1
2 2 0
2 0 2
2 1 0
2 1 1
1 0 2
1 0 1
1 1 2
0 2 0
1 2 1
10 3
0 3 3
0 3 1
3 0 1
2 3 1
1 1 0
2 1 0
0 3 0
0 1 2
1 3 2
0 2 1
10 7
2 4 2
1 1 0
1 0 3
0 0 3
1 0 1
2 2 0
2 3 3
3 0 0
5 0 4
1 4 0
10 8
2 1 1
2 2 1
1 0 3
3 3 0
1 3 1
3 2 0
0 1 2
3 0 0
3 2 2
2 2 2
10 3
0 2 2
0 2 0
1 2 2
0 0 0
1 1 2
0 2 1
1 0 0
0 0 1
2 1 1
2 2 0
10 6
4 2 4
3 3 2
2 1 1
2 3 1
0 0 3
4 3 3
1 2 2
2 4 1
1 3 2
2 3 0
10 8
1 0 0
2 1 1
0 1 1
0 2 2
0 2 1
2 1 2
0 0 0
2 2 2
2 0 0
1 0 1
10 3
0 0 1
2 0 1
1 1 0
1 0 0
2 2 2
2 2 0
2 1 2
1 1 1
1 1 2
0 2 1
10 6
1 3 3
0 2 1
1 0 3
2 3 0
3 3 0
1 2 1
1 1 1
0 1 0
2 0 0
3 0 1
10 6
4 2 2
2 1 2
3 1 3
1 3 1
2 2 0
3 0 0
0 0 1
1 4 2
3 4 0
1 1 1
10 2
2 1 2
1 5 0
5 4 4
1 1 4
1 3 1
4 0 2
5 3 3
4 5 0
2 2 3
2 3 4
10 5
1 1 2
1 2 2
1 3 0
0 0 2
0 2 3
2 2 0
2 3 0
0 1 0
2 0 1
2 1 0
10 3
4 4 1
1 0 1
4 3 3
0 4 3
2 3 4
4 3 2
1 0 4
1 1 4
2 1 0
0 2 4
10 5
0 1 1
3 1 2
1 1 1
1 0 2
4 4 2
0 1 0
0 1 3
3 1 0
2 2 3
4 2 2
10 7
0 0 2
1 0 2
1 0 0
2 0 0
0 0 1
1 1 1
1 2 0
2 1 0
2 2 2
0 1 1
10 6
1 1 1
2 2 0
1 0 3
2 2 3
0 3 1
2 2 1
3 2 1
0 0 3
3 0 0
2 3 0
10 5
0 0 1
2 2 2
2 0 0
1 0 2
1 1 2
1 1 0
2 1 2
0 2 2
1 2 0
0 0 0
10 5
0 1 1
1 2 0
2 2 2
2 2 1
1 0 1
2 0 2
1 2 1
0 2 2
1 1 2
2 1 0
10 3
0 2 1
1 0 0
0 0 0
0 1 0
2 0 2
2 0 0
2 1 0
1 1 0
0 0 1
1 0 2
10 2
0 3 3
0 2 2
3 2 0
1 0 1
1 1 0
0 1 0
3 2 2
3 2 3
1 0 2
1 3 2
10 3
2 0 0
2 2 0
1 0 2
1 1 2
0 1 2
0 1 0
0 2 1
2 1 1
1 1 1
2 1 2
10 3
4 0 1
4 0 2
1 3 3
3 4 0
2 4 2
1 0 1
3 1 1
2 0 2
2 3 3
0 3 4
10 7
4 4 1
3 0 2
4 5 4
5 2 3
3 5 4
4 4 2
0 3 0
1 2 3
5 0 0
3 0 0
10 2
3 3 1
4 4 3
4 2 2
3 4 0
2 3 0
1 4 3
1 0 4
3 0 1
1 3 0
2 1 4
10 9
0 3 4
1 1 2
2 4 3
2 0 3
4 3 1
0 4 1
4 2 4
2 2 1
3 4 0
0 0 1
10 7
4 0 1
3 3 2
4 5 4
5 2 0
2 4 3
5 3 2
0 3 3
0 2 1
4 1 1
4 4 1
10 9
2 1 0
0 2 1
1 0 1
2 0 0
0 0 1
1 2 0
2 2 1
2 1 1
0 0 2
0 1 2
10 8
2 2 0
0 0 1
2 1 1
2 0 0
0 2 2
2 0 2
1 1 1
0 1 0
0 0 2
1 1 2
10 9
1 1 0
0 2 0
1 2 0
2 0 0
2 2 2
0 1 1
2 1 2
0 0 2
0 2 2
2 1 1
10 7
0 1 2
2 0 2
2 2 0
0 0 2
2 2 1
1 1 2
0 2 0
1 2 0
2 1 1
1 0 1
10 5
3 2 1
0 0 0
3 0 1
2 1 1
3 0 3
0 1 3
0 0 1
2 1 0
2 2 2
0 3 1
10 2
2 0 0
1 2 1
1 0 2
2 1 2
1 0 1
2 2 2
2 0 2
0 1 1
0 2 2
1 2 2
10 8
2 3 1
0 3 2
0 0 1
3 3 2
3 2 1
1 3 1
1 2 2
3 0 0
0 2 0
2 2 3
10 8
4 5 0
2 1 5
1 1 4
1 4 2
2 0 3
5 4 5
1 5 3
3 2 2
1 4 4
3 1 4
10 8
1 1 0
2 2 2
1 3 0
3 2 2
1 3 3
1 1 1
3 3 1
3 0 3
1 2 1
0 0 1
10 4
0 2 1
3 1 2
0 1 2
1 4 2
1 2 2
0 3 2
2 4 0
1 3 4
3 0 0
0 4 2
10 8
2 0 0
3 0 0
1 3 0
1 1 2
0 3 1
0 1 2
2 1 0
0 1 0
3 0 1
2 2 1
10 7
3 2 2
2 1 4
4 2 0
3 0 2
0 2 3
2 0 0
2 1 3
2 0 4
1 2 0
1 1 1
10 5
2 3 0
3 2 3
0 0 3
3 0 2
3 0 3
0 1 3
3 3 3
2 2 2
3 2 0
0 3 1
10 7
1 1 1
1 0 0
0 0 0
0 1 0
1 2 1
2 0 2
1 0 1
2 1 2
1 0 2
2 2 1
10 4
4 4 0
1 4 4
4 4 4
0 1 4
3 4 2
2 1 2
4 3 0
4 3 4
3 3 3
4 2 1
10 9
0 2 2
2 2 1
2 2 0
2 1 2
0 1 1
2 0 2
0 1 2
1 1 2
0 2 1
0 0 0
10 3
2 3 3
0 3 1
3 0 0
2 2 3
3 1 0
0 1 2
0 2 0
2 0 1
0 0 1
3 0 3
10 9
1 3 1
2 0 2
2 3 4
3 3 3
0 3 4
4 3 4
3 1 0
4 0 1
3 3 4
2 2 3
10 5
3 4 0
0 2 0
0 3 3
0 2 1
1 0 2
3 0 1
4 3 1
1 2 2
3 3 4
1 4 1
10 3
4 2 1
2 1 2
2 1 1
3 1 4
1 3 3
0 2 0
0 1 2
2 0 0
4 4 1
1 1 1
10 9
5 0 0
5 2 3
0 1 1
4 4 3
1 4 1
0 1 4
0 3 3
5 5 1
3 3 4
1 5 5
10 3
2 1 3
0 1 3
1 2 2
2 0 2
0 2 3
0 0 1
3 0 0
3 1 2
3 1 0
2 0 0
10 5
3 1 4
0 3 0
1 1 3
1 0 0
0 1 4
2 0 0
2 3 3
3 0 0
4 3 1
4 4 4
10 3
5 5 3
2 2 3
1 2 1
5 1 4
2 5 1
2 1 1
3 0 0
3 0 4
0 4 4
3 2 1
10 2
4 1 3
1 4 1
2 1 4
0 2 1
1 3 0
4 2 0
4 2 2
2 3 1
3 2 2
0 3 4
10 3
3 3 3
3 3 0
0 2 3
3 2 3
1 2 0
3 0 0
2 3 3
0 3 0
2 0 3
0 0 0
10 2
3 2 3
3 3 1
1 3 1
3 3 0
3 0 0
3 0 3
1 3 3
2 0 2
0 0 0
2 3 2
10 5
1 2 1
1 1 2
1 2 3
2 0 3
1 0 0
3 3 3
2 2 3
0 1 0
0 0 1
2 3 3
10 2
0 0 2
2 3 2
1 0 1
0 2 4
0 3 3
0 1 2
0 1 1
0 4 2
4 4 0
0 3 2
10 3
1 4 2
2 2 4
3 2 0
4 2 3
2 0 4
0 2 3
0 3 1
1 4 4
3 4 4
2 3 2
10 4
1 3 4
1 4 1
0 1 2
1 5 2
1 5 3
4 1 1
1 5 1
3 1 2
2 0 1
0 4 1
10 4
2 0 1
1 3 3
3 3 0
2 2 3
2 3 0
1 3 0
1 1 0
1 1 2
0 0 0
2 0 0
10 5
2 2 2
4 5 1
4 4 0
1 5 1
1 3 2
0 0 3
4 4 1
5 3 4
1 4 1
0 0 5
10 7
5 4 0
1 1 1
0 1 4
3 5 1
1 1 3
1 0 4
5 4 3
2 3 1
3 1 2
3 5 0
10 5
0 2 1
2 0 2
0 2 3
2 0 1
0 0 1
1 1 3
0 0 0
3 0 3
0 3 1
0 1 2
10 2
0 2 2
3 0 4
0 1 2
0 3 4
4 3 3
2 1 4
2 0 4
2 4 2
4 1 0
1 2 2
10 6
3 0 3
2 2 3
2 3 1
3 3 2
0 1 0
1 3 2
0 0 1
1 1 2
2 0 0
0 2 0
10 8
2 2 2
1 2 1
0 1 2
2 0 1
3 1 3
1 1 2
1 1 0
3 0 1
3 1 1
3 0 2
10 7
0 0 1
1 1 1
0 2 2
1 2 1
2 1 0
2 0 1
2 0 0
0 1 0
2 0 2
0 2 1
10 3
3 1 1
3 3 1
3 0 2
3 1 2
3 2 3
0 0 1
2 0 1
0 1 3
1 1 2
0 1 2
10 4
3 2 2
0 1 0
3 3 3
0 1 3
3 3 0
3 2 1
1 1 1
3 1 0
1 0 1
1 1 3
10 4
1 3 1
3 1 2
2 1 0
1 3 0
1 4 1
3 1 3
4 4 0
1 2 0
1 0 0
4 4 4
10 9
1 1 1
2 1 1
1 1 2
0 0 1
2 0 0
0 0 0
2 2 0
0 2 0
0 2 1
1 1 0
10 9
3 3 3
3 1 0
2 1 1
2 0 1
2 0 2
3 0 1
3 1 2
3 3 0
0 2 0
1 3 1
10 7
0 0 0
0 2 2
2 2 2
1 0 0
1 2 1
2 1 2
0 0 1
0 1 0
2 1 0
1 1 2
10 5
1 1 1
2 4 4
4 2 0
0 4 3
3 0 3
2 2 4
1 0 1
4 3 0
1 3 1
4 4 4
10 8
0 1 4
0 4 2
4 0 2
1 0 3
3 1 0
2 1 1
3 0 1
3 1 3
4 3 3
4 3 1
10 4
0 0 2
1 5 0
3 1 0
0 1 1
3 4 0
0 3 4
3 1 3
5 4 5
0 5 2
0 2 2
10 3
2 2 2
2 1 2
3 3 1
3 0 3
1 0 3
3 3 2
0 0 0
1 1 1
0 3 2
1 3 1
10 7
3 0 0
0 1 2
3 3 0
1 3 3
1 1 2
3 1 1
1 1 3
2 1 3
2 0 0
2 3 0
10 9
2 3 3
0 1 2
2 3 0
1 3 2
0 0 3
1 1 3
2 0 0
0 1 1
0 2 3
3 0 3
10 3
2 0 1
2 2 1
3 4 1
2 0 0
1 0 4
2 2 0
0 2 4
3 2 1
2 1 1
2 3 1
10 6
0 2 1
1 2 1
1 0 2
0 0 1
0 1 1
2 1 1
1 2 2
2 0 2
2 2 1
2 0 0
10 7
1 1 0
3 0 3
2 2 4
4 4 3
1 3 0
2 0 1
3 2 2
2 2 1
1 3 4
1 1 1
10 4
0 0 1
2 1 2
1 1 1
1 2 0
0 2 1
0 0 2
0 1 1
2 0 0
1 1 2
2 2 0
10 3
3 3 1
1 1 2
1 2 2
3 0 1
0 2 0
0 0 2
1 3 0
3 0 2
1 0 0
3 1 2
10 3
3 1 1
3 3 2
1 1 1
1 3 0
2 1 3
4 3 2
0 1 4
0 0 4
2 2 3
0 4 3
10 4
4 1 2
1 5 2
2 5 2
1 2 2
0 5 3
3 5 1
4 4 0
2 1 1
5 0 3
2 3 5
10 3
3 0 1
1 1 3
0 0 2
4 2 2
3 3 0
3 4 4
1 4 0
0 0 4
3 1 1
4 1 3
10 6
4 0 2
3 3 2
3 2 1
2 3 1
3 4 0
3 1 3
4 4 2
2 1 1
4 0 0
0 2 3
10 6
1 1 4
0 4 3
1 4 0
4 2 3
2 4 2
0 0 3
3 4 4
4 3 0
4 2 0
0 2 3
10 8
4 0 3
4 5 5
0 5 1
5 5 3
1 1 4
3 5 3
0 3 5
3 2 0
4 1 3
4 3 4
10 6
0 4 3
1 0 1
0 0 0
3 0 0
1 3 2
4 1 4
0 3 1
4 0 4
1 1 3
3 0 1
10 4
0 0 2
1 0 3
0 2 2
2 3 3
1 3 0
1 3 1
0 3 0
2 0 3
1 3 3
2 1 2
10 6
0 3 5
0 4 4
0 1 1
4 4 4
0 3 0
5 5 5
2 3 2
1 5 4
2 3 1
3 2 1
10 4
5 4 1
1 3 5
1 0 3
3 4 4
2 3 2
1 4 4
1 5 0
1 3 3
3 4 2
3 2 4
10 4
0 1 2
0 0 1
2 1 1
1 2 1
0 2 1
1 1 1
0 2 0
2 2 2
1 0 0
1 0 1
10 9
2 1 3
2 0 2
0 2 2
1 0 0
0 2 3
3 2 2
2 1 0
0 1 2
2 3 2
1 3 1
10 3
0 4 1
0 4 4
4 2 2
3 3 1
1 4 3
2 4 3
4 1 2
0 2 4
1 0 3
0 1 4
10 6
4 5 2
5 2 0
3 5 3
2 2 0
0 2 2
0 4 5
3 1 0
1 5 2
0 2 4
5 3 0
10 9
0 3 3
0 0 0
3 2 1
2 1 2
0 2 1
3 1 0
1 0 3
2 0 1
1 2 2
2 3 3
10 6
0 2 0
0 0 2
1 2 1
2 1 2
1 1 0
2 0 1
1 0 1
2 0 0
1 2 0
1 1 2
10 6
3 3 3
5 3 0
0 2 4
4 4 3
5 1 5
4 0 3
0 1 0
4 0 2
1 5 1
5 2 4
10 8
0 2 1
1 1 2
2 2 1
2 1 0
2 0 0
0 0 0
2 1 2
1 2 1
0 2 2
2 0 1
10 9
4 2 1
4 4 2
0 0 2
4 4 4
1 2 4
3 0 0
0 2 4
0 4 0
2 1 0
1 2 0
10 6
2 0 1
0 0 2
0 1 0
1 1 0
1 2 0
1 1 2
0 1 1
0 0 1
2 0 0
2 1 2
10 8
1 2 1
5 5 0
5 1 5
5 4 1
1 2 0
2 4 1
4 1 4
4 2 4
2 0 1
4 1 0
10 8
4 2 0
2 2 0
0 1 4
3 2 3
4 2 1
4 4 2
0 3 2
2 1 1
2 4 3
3 0 4
10 3
2 5 5
2 5 1
0 1 0
1 0 3
5 1 4
1 0 2
0 4 3
4 2 1
0 0 0
2 3 2
10 5
2 1 0
1 2 1
2 0 0
2 2 0
0 2 2
1 1 1
2 2 1
1 1 0
2 2 2
0 0 0
10 2
1 0 4
3 0 1
3 2 4
0 0 5
0 1 2
2 1 5
4 0 5
1 4 5
2 4 3
2 1 4
10 2
2 5 1
4 5 4
5 2 4
2 4 4
2 1 5
1 4 5
2 3 3
3 5 4
3 0 0
1 4 0
10 3
3 0 1
3 0 0
1 3 2
1 3 0
1 2 1
3 2 1
2 1 0
3 1 1
3 2 3
2 3 2
10 3
1 2 1
1 2 2
1 0 1
1 1 2
2 2 2
1 2 0
2 2 1
0 0 1
0 0 2
2 2 0
10 3
0 0 3
0 0 2
3 0 4
0 2 1
0 2 0
3 1 3
1 2 0
3 3 4
2 2 4
4 0 4
10 3
0 2 2
2 1 1
0 0 0
1 1 2
0 2 1
2 1 0
1 1 1
1 2 1
2 2 2
1 2 0
10 7
2 0 0
1 0 2
1 1 2
0 0 0
1 1 0
2 2 2
0 1 2
2 2 1
0 0 2
0 0 1
10 6
1 2 2
0 2 1
1 3 1
0 0 3
3 0 0
1 1 3
2 3 3
2 2 3
0 1 3
1 1 0
10 7
3 4 1
4 2 3
3 1 0
2 2 1
3 3 1
4 2 4
0 0 1
1 1 4
0 4 3
4 0 0
10 4
4 5 3
5 5 0
1 2 2
2 1 2
3 5 1
2 0 3
1 1 4
0 3 4
0 0 4
1 5 3
10 4
1 3 1
3 3 0
3 1 1
3 2 2
2 2 1
1 0 1
1 2 2
3 1 3
3 2 3
1 3 0
10 5
1 3 1
0 3 1
2 0 2
0 0 1
1 0 0
3 3 0
1 1 0
1 0 1
1 3 0
3 1 1
10 3
2 5 1
3 4 3
4 4 2
1 1 2
0 0 0
3 2 5
3 1 5
0 1 3
2 0 1
2 0 3
10 5
3 0 3
3 3 2
3 2 1
2 2 1
0 1 0
0 3 0
0 3 3
1 1 3
1 3 1
3 2 2
10 2
1 1 1
0 0 0
0 0 1
1 0 2
2 1 0
1 2 0
2 1 2
0 2 2
1 0 1
2 1 1
10 3
0 2 5
0 0 3
3 1 4
3 2 3
5 3 2
4 1 2
4 3 3
2 3 2
3 4 1
3 5 2
10 3
4 0 4
3 1 3
0 0 2
4 1 4
1 3 3
5 4 5
3 4 5
5 3 3
1 5 4
2 1 3
10 9
0 5 5
4 2 4
0 3 2
5 5 1
2 5 1
3 1 3
2 1 4
3 4 0
1 3 0
5 3 2
10 2
4 1 0
0 0 0
4 3 1
5 4 2
0 2 4
5 5 5
3 5 5
1 5 3
0 5 3
2 4 5
10 6
3 0 3
2 0 2
3 0 0
0 0 0
2 0 1
3 3 1
0 3 2
1 3 3
1 1 0
0 1 0
10 5
4 2 3
0 2 4
1 1 4
1 1 1
0 1 0
2 0 3
3 1 1
1 0 2
0 2 3
0 3 1
10 4
1 1 0
2 0 2
2 1 0
1 2 1
0 1 1
0 0 0
2 1 2
2 2 1
2 2 0
1 1 2
10 6
2 2 4
2 4 4
3 0 0
3 0 1
2 1 3
3 3 4
4 2 3
3 1 0
3 1 3
2 3 4
10 6
4 0 1
4 2 4
0 4 4
0 1 2
2 1 4
4 1 0
3 1 2
2 2 1
4 3 2
0 0 0
10 8
3 4 3
0 1 3
0 4 4
5 2 3
2 3 4
0 4 0
2 5 0
4 4 0
1 3 1
3 1 3
10 2
4 4 4
1 2 1
1 3 4
4 2 1
1 1 3
4 4 2
4 2 4
0 4 2
3 1 3
4 0 4
10 2
4 0 1
2 0 4
4 0 0
4 1 0
1 4 2
0 4 0
1 1 1
3 0 1
1 3 1
4 3 2
10 6
5 3 1
0 1 5
1 3 5
2 4 1
3 3 3
1 3 3
4 1 3
3 5 3
2 3 0
5 1 4
10 9
4 0 3
4 2 4
2 0 2
1 2 1
2 4 2
0 2 4
0 4 3
1 3 1
1 4 3
1 0 1
10 9
2 1 3
0 5 2
0 0 3
0 1 5
2 0 4
3 3 5
2 4 2
4 2 4
2 0 1
0 0 2
10 6
0 2 1
0 0 1
0 1 2
4 1 3
3 0 5
2 2 0
1 4 0
2 0 4
3 0 0
5 2 1
10 4
3 5 3
5 5 5
1 0 2
3 2 5
0 4 3
0 4 0
2 4 2
5 5 4
2 4 1
1 3 2
10 2
3 0 2
1 2 2
3 3 1
3 0 3
2 3 2
1 2 1
2 1 2
1 2 0
0 1 2
1 1 1
10 5
5 1 5
4 4 0
4 3 4
2 1 3
1 5 4
4 1 0
2 5 1
5 2 5
3 2 4
1 4 4
10 5
0 0 4
3 0 4
3 4 0
0 3 3
0 1 1
3 3 4
1 0 1
3 0 2
4 3 2
0 3 2
10 9
1 3 4
2 4 4
3 0 2
2 1 3
1 4 4
4 3 0
2 2 4
0 1 0
3 0 4
4 0 0
10 7
1 2 1
2 0 0
1 1 1
0 2 0
2 1 2
0 1 1
0 2 1
0 1 2
0 2 2
2 1 0
10 6
5 1 3
0 2 2
5 4 3
0 3 2
4 0 1
1 3 0
5 3 4
4 3 3
4 2 5
5 2 0
10 6
1 2 2
3 3 3
1 3 1
2 3 2
0 2 0
3 1 2
0 3 2
1 2 1
1 0 0
0 3 1
10 4
2 5 0
2 1 0
5 1 2
1 0 4
4 0 0
2 4 0
4 3 1
4 0 3
5 2 2
5 1 4
10 6
1 2 1
0 0 2
3 0 3
1 0 1
2 0 0
0 0 3
3 2 0
1 2 3
3 0 0
1 1 1
10 2
0 2 2
0 3 3
3 0 3
2 2 2
2 3 1
4 0 0
1 0 1
3 1 4
2 3 0
2 0 3
10 5
0 1 2
0 0 2
1 2 0
0 2 1
0 2 0
1 1 1
0 2 2
2 2 2
1 1 2
0 1 1
10 6
0 2 1
2 2 2
2 0 0
0 3 0
3 2 2
2 3 1
2 0 2
2 2 0
3 2 3
0 1 2
10 5
4 0 0
4 2 1
2 5 0
3 5 0
5 0 1
0 5 1
3 4 4
3 1 3
2 4 3
1 0 3
10 9
2 5 0
1 2 4
3 0 0
3 2 1
4 1 1
5 1 2
5 0 3
4 2 3
3 1 1
3 4 0
10 4
1 3 2
1 3 3
0 0 1
3 0 2
0 0 2
1 3 1
3 3 1
0 0 3
0 1 3
2 1 3
10 3
4 0 3
0 0 1
0 4 3
3 2 0
4 2 1
0 3 3
0 3 2
1 0 0
2 2 1
4 2 4
10 7
2 5 1
0 5 4
2 0 4
5 3 1
5 3 4
3 1 4
1 5 0
4 5 0
2 0 0
4 4 4
10 8
1 0 0
2 1 1
3 4 3
1 2 2
1 2 0
1 4 3
0 2 0
1 4 4
0 1 4
3 1 2
10 8
0 2 0
0 0 2
1 0 2
1 0 1
0 2 1
1 2 1
2 0 0
1 1 2
2 1 1
1 2 2
10 7
4 5 1
5 2 5
1 5 3
3 2 2
0 0 3
1 0 5
2 0 2
1 5 0
3 1 0
3 3 3
10 2
0 3 0
1 2 2
1 2 4
3 1 2
2 2 1
0 3 3
3 3 4
1 2 3
4 2 3
3 0 2
10 4
1 0 0
0 0 2
0 4 1
1 1 1
1 1 0
4 4 3
4 4 2
5 4 1
0 4 3
2 1 1
10 6
1 1 3
1 2 1
3 4 4
4 3 4
0 0 3
4 4 0
2 0 4
3 0 4
3 1 0
4 2 4
10 4
3 1 1
4 4 3
1 3 0
1 3 2
4 1 3
0 2 4
2 1 3
3 2 1
3 0 4
1 2 2
10 2
2 2 1
1 0 2
0 1 0
2 0 0
1 2 0
0 2 2
2 1 1
0 0 2
2 2 0
0 1 2
10 2
2 1 1
1 2 0
1 0 0
2 0 2
1 2 2
1 0 2
0 0 0
0 0 1
0 0 2
2 1 2
10 8
0 2 2
2 4 0
1 1 1
2 5 5
4 3 2
4 4 2
2 3 2
3 3 2
3 1 2
2 4 5
10 5
2 0 1
1 0 0
0 2 1
2 2 0
0 1 0
0 1 1
2 2 1
2 1 2
1 1 2
1 0 1
10 2
2 1 2
0 3 3
3 3 3
2 3 3
3 3 0
1 0 3
3 1 3
2 2 1
3 0 0
1 2 0
10 7
1 2 5
1 5 2
4 5 1
1 0 1
5 1 4
5 5 2
2 0 2
3 0 1
2 5 3
3 1 3
10 5
0 1 1
2 1 1
1 2 0
2 1 0
1 0 2
0 1 0
0 2 0
0 0 1
2 1 2
0 1 2
10 9
0 1 2
0 0 2
1 2 2
0 2 1
0 2 0
0 1 1
2 0 2
1 2 1
2 0 1
1 0 2
10 7
3 5 5
1 1 1
4 1 4
4 1 0
1 3 3
4 4 5
1 3 5
3 1 4
3 1 5
2 5 5
10 5
1 2 2
0 2 1
2 2 2
0 0 1
0 0 0
1 1 2
0 1 0
2 0 1
1 0 1
2 1 1
10 6
3 1 5
5 4 0
2 2 0
5 2 0
3 1 0
1 4 0
1 3 0
2 3 5
3 0 4
0 1 1
10 5
1 0 2
2 2 0
0 2 2
0 0 0
1 1 0
1 2 2
0 2 1
2 0 1
1 1 1
1 1 2
10 4
2 1 0
0 1 1
2 0 3
2 1 2
1 1 3
1 0 1
3 0 3
3 0 0
2 0 0
0 1 0
10 2
2 3 0
1 3 3
2 2 2
2 0 0
2 2 1
2 1 1
2 0 1
0 1 1
1 1 2
0 2 0
10 2
0 0 0
1 1 1
0 1 0
0 0 1
1 0 0
2 1 2
2 0 2
1 1 0
2 0 1
2 1 0
10 6
0 3 1
0 1 3
1 3 0
2 3 3
0 1 1
3 2 3
2 3 1
0 0 2
2 0 0
3 3 0
10 6
3 4 1
0 1 0
1 4 3
3 5 4
2 4 3
4 1 5
0 3 4
1 4 0
5 1 3
4 1 3
10 6
2 1 3
1 3 0
2 3 0
3 1 3
3 3 1
0 2 2
0 2 3
2 0 1
0 0 3
1 2 0
10 8
3 3 0
0 1 2
2 3 1
1 3 0
0 1 3
2 3 0
3 2 3
0 0 1
0 3 1
0 2 0
10 7
2 2 2
2 0 0
0 1 0
2 2 0
0 0 0
2 0 1
0 0 2
2 2 1
0 1 2
0 2 2
10 8
2 3 0
3 0 2
0 0 2
3 0 1
1 1 1
0 3 2
2 1 2
3 2 0
2 3 3
2 0 3
10 3
0 0 2
0 2 3
3 0 1
0 1 4
2 4 1
3 1 3
0 4 4
2 2 2
3 3 2
3 4 2
10 2
2 0 2
3 3 3
3 1 2
2 0 0
1 2 2
2 3 3
3 3 2
2 1 1
3 2 2
0 2 2
10 9
0 1 1
0 0 1
0 0 0
1 0 2
1 1 2
1 0 0
2 1 1
2 2 1
1 2 0
0 1 0
10 7
2 0 1
1 0 2
1 2 2
1 1 2
2 2 2
0 0 2
2 1 0
2 2 1
2 1 2
1 1 0
10 5
2 0 0
2 2 3
3 1 1
3 0 3
0 3 0
3 1 3
1 2 1
2 0 2
1 3 2
0 1 3
10 7
4 1 5
5 5 4
5 1 1
5 3 4
3 2 0
5 2 0
1 2 1
0 2 3
4 3 0
0 0 0
10 4
2 0 2
0 2 1
2 2 0
2 0 1
0 1 1
2 1 2
1 2 1
2 2 2
1 2 2
1 0 0
10 5
2 1 2
3 3 1
4 4 4
0 3 4
2 1 3
4 3 3
3 1 1
4 0 4
1 2 0
2 0 4
10 3
3 0 1
2 3 0
0 2 3
0 0 3
3 3 2
2 0 2
3 1 2
3 2 2
0 3 1
3 2 3
10 2
1 1 2
0 1 2
2 0 1
1 2 0
1 1 1
0 2 2
0 0 0
2 1 1
1 2 1
2 1 0
10 7
0 1 1
1 2 1
2 2 0
1 0 0
1 0 1
0 1 2
2 0 2
2 2 2
2 1 2
1 2 0
10 4
2 1 0
0 2 2
2 0 2
0 0 1
2 1 2
2 1 1
2 0 1
2 0 0
0 2 0
1 1 1
10 8
0 1 1
3 4 4
0 2 0
1 1 0
0 0 3
3 1 0
3 2 0
1 2 1
1 3 2
2 0 4
10 9
1 1 1
4 1 1
4 2 0
3 1 1
5 3 1
5 1 4
1 2 3
1 2 4
3 5 5
4 2 1
10 6
0 2 0
1 1 0
0 0 2
2 2 0
1 1 1
1 0 1
1 2 2
0 0 0
2 0 2
2 2 1
10 4
3 0 1
1 3 1
2 0 3
3 0 2
0 1 1
0 2 1
3 0 0
0 3 2
1 2 2
1 1 2
10 7
1 1 1
0 2 2
0 1 1
3 1 3
2 2 3
2 0 2
1 1 3
0 2 3
2 0 1
2 2 2
10 9
1 3 3
1 3 1
2 3 1
2 3 0
2 0 1
3 1 2
0 2 0
2 0 2
3 3 2
1 0 2
10 3
1 2 2
2 1 1
2 2 1
2 0 2
0 2 1
1 0 0
2 0 0
2 0 1
2 2 0
0 2 2
10 6
0 4 2
4 5 4
1 3 0
2 4 2
5 0 4
2 5 4
1 5 5
0 2 2
3 4 2
3 5 4
10 4
3 1 4
4 1 1
1 1 3
0 4 4
0 3 4
3 2 4
3 0 4
0 2 2
2 0 1
0 1 2
10 5
0 1 0
1 3 1
2 1 2
1 0 1
1 3 0
3 0 3
3 0 2
3 3 1
0 3 2
1 0 0
10 7
2 0 1
2 0 0
1 0 2
0 1 2
2 0 2
1 2 0
1 1 2
0 2 1
1 1 1
2 1 1
10 6
1 2 0
3 2 0
0 0 1
3 3 1
0 1 2
3 1 0
2 0 1
2 1 0
1 0 1
0 0 3
10 7
1 2 2
0 1 2
0 1 3
0 2 1
1 0 0
1 3 1
0 2 0
3 2 1
3 2 3
2 3 2
10 7
2 0 2
1 1 2
0 1 2
1 2 1
0 1 1
2 0 0
0 2 1
0 2 2
2 2 2
0 0 1
10 9
3 0 2
3 2 2
2 0 1
1 1 2
1 1 3
0 3 3
1 2 2
1 0 3
1 3 2
0 0 0
10 2
5 4 0
5 3 2
0 5 1
5 2 0
4 3 3
3 1 4
1 5 2
1 3 1
5 3 0
1 0 5
10 3
1 2 2
0 2 0
1 0 1
1 1 0
0 0 2
2 2 1
2 2 2
1 0 0
2 0 2
0 0 1
10 6
3 1 2
2 3 1
3 0 0
0 2 3
3 0 1
0 0 2
1 1 1
0 2 0
1 2 0
0 0 0
10 9
5 3 1
1 4 3
0 1 1
1 1 5
4 3 4
2 3 2
3 0 5
4 5 4
2 5 3
5 2 1
10 9
1 2 1
1 1 0
0 0 0
1 0 1
1 1 2
2 2 0
0 0 2
0 1 1
1 2 0
2 0 0
10 8
2 1 4
0 4 3
1 0 2
3 1 2
3 4 0
3 4 4
1 2 4
1 1 3
0 0 1
0 3 0
10 4
2 0 1
3 1 3
3 2 1
4 3 3
3 4 4
2 0 4
0 3 1
3 3 3
1 2 3
4 4 1
10 8
1 4 1
2 4 1
4 4 3
3 1 2
4 4 0
4 4 2
0 4 1
3 2 2
1 4 4
4 1 4
10 7
0 3 5
1 1 0
1 5 4
4 0 3
1 2 3
5 0 2
4 0 0
5 3 3
3 3 3
0 1 2
10 4
2 3 4
3 2 2
4 4 0
3 1 4
1 2 3
1 1 0
1 2 1
1 3 4
0 0 1
0 2 1
10 8
3 2 0
3 1 0
2 0 1
3 3 1
2 3 0
0 1 3
0 1 0
2 2 1
1 2 0
2 2 2
10 6
0 1 0
0 2 1
1 1 1
2 0 2
0 2 2
0 2 0
2 1 1
0 1 1
2 2 1
1 1 0
10 6
2 1 0
1 0 2
0 1 1
2 2 1
2 2 2
2 0 1
0 1 0
0 4 4
3 2 4
1 1 2
10 4
3 0 3
3 0 1
2 3 0
0 3 3
0 2 2
0 2 1
3 2 2
0 3 0
2 0 1
2 0 2
10 7
3 0 1
4 3 1
2 5 0
1 2 0
2 3 5
3 2 3
0 2 0
0 5 2
4 0 4
5 4 1
10 5
0 2 5
2 1 0
0 1 5
5 5 3
4 5 2
5 2 0
4 1 0
3 5 5
2 4 0
3 1 0
10 4
4 0 3
5 5 3
5 3 5
4 3 5
3 4 4
2 2 0
5 3 2
5 1 1
3 0 3
2 4 0
10 6
0 1 1
2 1 1
3 3 1
1 0 0
1 0 3
0 1 0
2 0 0
1 1 2
3 1 3
2 1 2
10 5
0 2 1
2 1 0
1 2 2
0 1 1
0 1 2
1 0 1
0 0 1
0 2 0
0 0 2
0 1 0
10 3
0 0 0
3 0 3
0 3 4
2 3 4
1 2 4
1 4 0
2 2 3
3 1 1
4 1 3
1 0 3
10 4
3 4 2
1 4 4
2 3 3
4 3 3
3 3 0
0 3 0
4 2 0
0 0 3
4 3 1
4 0 3
10 9
0 1 0
1 4 3
3 2 4
3 2 1
3 1 2
2 0 3
1 2 2
0 4 4
1 2 0
4 2 3
10 3
0 0 3
0 3 1
1 0 0
2 0 3
1 1 3
2 3 2
1 3 3
2 2 2
3 1 1
3 0 1
10 6
1 1 4
2 1 2
2 2 3
0 1 4
1 0 2
2 5 3
2 2 0
3 2 3
0 0 3
3 3 4
10 7
2 0 2
1 2 1
1 2 0
0 0 1
2 1 2
1 1 1
0 1 1
2 2 2
1 0 0
2 1 0
10 6
2 2 1
4 2 2
4 1 3
2 2 4
0 3 2
2 0 4
4 4 1
1 4 0
2 2 3
2 4 1
10 6
3 3 3
3 0 1
1 3 2
0 0 2
0 1 0
3 0 2
2 3 3
0 0 3
3 3 1
1 1 2
10 7
4 2 3
0 3 5
2 1 1
0 1 4
1 0 3
2 5 2
2 2 1
2 5 5
1 1 0
4 2 0
10 7
1 2 0
2 1 0
1 1 2
0 0 1
2 0 1
0 0 2
0 1 2
1 2 2
1 1 0
2 2 1
10 7
3 4 5
0 1 0
0 2 2
1 4 0
0 5 3
2 0 0
0 5 1
2 1 3
3 3 3
3 3 0
10 5
1 2 2
1 2 0
0 2 2
0 2 0
1 0 0
1 1 1
2 2 0
0 1 2
1 0 1
0 2 1
10 2
0 3 2
3 0 2
2 0 2
0 3 0
4 4 3
3 3 4
3 2 3
4 2 1
2 1 0
0 1 2
10 6
0 3 0
3 0 1
0 3 2
1 2 1
3 1 2
1 0 3
0 0 1
2 2 2
1 1 3
1 0 0
10 5
2 1 0
1 2 2
0 1 2
2 2 1
1 0 1
1 1 1
2 0 1
1 1 0
2 0 0
0 2 2
10 8
2 2 4
1 1 0
3 2 5
2 1 3
0 5 2
5 0 5
4 4 1
0 2 2
5 5 4
5 1 1
10 2
2 0 0
4 2 2
2 4 5
4 3 1
2 0 1
5 1 2
2 2 0
3 4 3
5 2 2
4 1 0
10 5
5 4 4
0 2 3
2 1 2
4 2 0
1 2 0
5 5 1
2 4 3
2 5 2
2 3 2
5 5 3
10 6
0 2 0
2 3 5
2 3 4
2 5 4
5 5 1
3 3 1
0 1 3
2 1 4
3 4 2
2 2 4
10 9
2 3 2
2 3 0
0 0 2
2 0 3
1 2 3
1 1 1
0 1 0
3 2 3
2 1 2
3 0 3
10 2
3 2 4
3 3 5
5 2 3
1 2 5
4 3 2
2 0 2
5 0 2
2 3 0
2 4 5
2 3 4
10 9
2 2 1
0 2 0
1 1 2
2 0 1
2 1 1
2 0 0
0 2 1
1 2 0
1 0 2
1 0 1
10 7
0 2 2
0 2 1
2 1 2
1 2 1
0 2 0
2 1 0
2 0 1
0 1 0
1 2 2
1 2 0
10 4
0 2 2
2 2 0
0 2 0
0 0 0
1 0 2
0 1 0
2 0 1
1 0 1
1 1 0
2 1 1
10 9
1 0 0
0 3 3
0 1 2
3 0 2
1 1 1
0 1 3
2 3 1
3 0 1
1 2 0
1 3 0
10 8
0 3 4
1 2 0
4 2 1
2 2 1
1 0 2
4 3 2
2 2 2
0 3 2
1 0 0
4 3 0
10 2
3 2 3
3 2 1
0 1 3
2 3 2
3 3 3
0 3 3
0 0 1
0 3 1
1 1 0
1 1 3
10 7
1 2 1
0 3 4
0 2 1
0 3 1
3 0 2
4 3 1
3 2 1
3 2 4
2 4 4
0 4 2
10 6
3 2 2
2 4 2
2 3 4
0 5 3
5 5 1
1 4 5
1 3 3
2 1 2
1 2 2
2 1 1
10 6
0 1 2
0 0 2
2 1 3
2 0 3
2 2 2
3 2 0
1 1 2
1 0 0
1 2 3
2 1 2
10 6
3 3 0
3 2 1
3 1 2
3 0 4
2 0 0
4 1 0
4 2 1
0 2 3
3 2 0
0 0 2
10 8
5 5 2
0 3 2
1 2 2
4 4 3
4 0 2
5 0 3
2 3 0
4 0 0
0 3 1
3 5 5
10 6
1 2 0
1 0 5
4 3 0
2 2 1
5 4 0
5 0 1
3 0 4
3 4 5
1 3 5
2 3 0
10 4
2 0 2
5 0 0
4 4 2
0 1 1
4 3 0
3 5 0
0 2 0
1 2 1
1 0 0
2 0 1
10 3
1 0 0
0 2 0
1 2 1
0 1 1
0 0 1
1 1 0
2 1 1
2 0 1
2 2 0
1 0 2
10 4
1 2 2
1 1 2
1 0 2
0 2 1
1 2 1
1 0 0
1 1 1
0 2 0
0 0 2
0 1 0
10 8
0 1 0
0 3 3
3 2 1
1 2 2
3 1 2
2 0 2
0 1 2
1 0 0
3 1 1
0 0 1
10 9
2 2 4
0 0 4
3 1 3
0 2 1
0 0 0
3 3 3
2 1 0
2 0 4
3 1 4
4 3 3
10 4
4 5 0
2 1 2
3 2 1
3 0 2
2 1 5
1 3 4
5 4 3
3 5 3
3 5 5
0 4 0
10 2
2 1 5
0 0 4
1 0 4
3 5 2
4 4 1
0 0 2
1 1 0
1 3 2
3 2 5
4 4 2
10 3
2 0 1
1 0 2
0 0 0
1 2 2
0 2 2
2 1 0
1 1 2
0 1 2
1 1 0
0 0 2
10 7
2 1 2
0 0 1
1 1 2
0 0 2
0 2 0
0 2 1
2 1 1
1 1 0
1 1 1
2 2 2
10 2
0 3 3
2 3 3
2 0 2
0 3 2
2 2 2
3 1 3
3 1 0
3 0 3
0 3 0
0 0 0
10 8
3 2 4
4 0 3
2 4 2
4 2 2
4 0 0
0 1 1
1 2 0
0 0 3
0 0 5
4 5 4
10 5
1 4 3
2 0 2
3 4 0
0 4 0
0 4 1
2 1 1
3 3 2
4 3 2
0 3 2
4 3 4
10 3
4 2 0
1 3 1
1 1 4
4 4 0
3 3 3
3 2 0
1 0 0
2 1 4
2 3 0
0 2 4
10 8
3 2 4
1 0 1
2 3 3
0 2 0
5 4 0
1 2 4
5 3 2
5 3 0
3 2 0
0 2 1
10 7
3 1 2
3 3 1
0 2 3
4 0 2
4 0 0
4 1 4
0 2 2
4 4 4
0 4 1
2 3 0
10 3
3 2 1
1 2 4
2 2 0
1 2 1
1 3 3
3 1 0
2 3 0
3 3 4
2 0 1
4 4 2
10 2
5 1 4
5 2 1
3 4 1
0 2 4
0 2 3
1 5 3
3 3 2
4 2 5
3 4 3
3 1 4
10 9
1 1 0
2 1 2
0 0 1
0 2 1
0 1 1
2 1 1
0 1 0
0 2 0
2 0 1
0 1 2
10 9
0 3 4
1 1 0
4 3 4
0 3 1
3 0 2
1 4 2
3 2 2
4 1 4
1 4 0
1 0 3
10 4
1 1 1
0 2 1
0 1 2
2 1 1
1 1 0
0 2 0
0 1 0
0 1 1
2 2 2
0 0 0
10 2
1 1 2
0 0 2
1 2 2
2 1 1
2 1 0
2 2 0
2 1 2
0 2 0
2 0 1
1 0 1
10 3
2 2 5
3 5 3
4 4 5
1 0 4
5 5 4
4 2 2
3 5 2
4 1 2
5 4 3
1 2 3
10 4
2 0 2
0 0 1
1 2 2
4 0 3
2 2 2
2 3 2
4 3 2
4 2 4
3 3 4
3 4 3
10 9
1 1 2
2 1 2
0 0 1
1 2 1
2 1 0
0 1 1
2 2 0
2 2 1
2 0 1
1 1 0
10 3
1 1 0
3 2 0
3 3 0
1 0 1
2 2 2
0 3 1
3 1 1
0 0 3
3 3 2
0 3 0
10 7
5 1 5
5 4 3
2 4 0
4 3 3
5 4 1
3 5 0
2 3 5
5 3 2
1 3 5
5 1 0
10 6
2 2 2
0 0 3
1 1 2
0 2 1
1 2 4
4 2 1
3 1 1
2 0 3
3 4 2
4 1 2
10 8
2 5 2
4 4 3
1 4 2
5 3 5
5 2 5
5 0 1
1 3 3
4 4 0
0 0 5
0 2 1
10 7
0 0 1
1 0 3
4 4 4
2 3 0
0 3 3
3 3 1
3 2 4
4 2 0
0 4 4
3 0 2
10 8
2 0 0
1 2 1
1 0 0
0 2 0
2 0 1
1 0 1
0 2 2
1 1 0
1 2 0
2 2 1
10 7
1 0 1
1 1 0
0 2 0
0 0 1
2 0 0
0 1 2
2 2 0
1 0 0
2 0 1
0 1 0
10 3
2 0 3
1 0 1
0 3 0
1 2 3
2 3 1
3 1 0
3 1 3
0 3 2
3 2 2
0 0 3
10 2
2 1 2
0 0 2
2 1 1
0 3 0
1 1 1
0 1 2
2 0 1
0 1 0
2 3 0
1 3 2
10 2
4 2 2
0 3 4
2 4 0
0 1 2
5 2 4
0 3 5
5 3 0
3 1 5
0 5 0
3 5 1
10 3
1 0 3
2 2 0
2 0 3
3 0 3
4 3 0
4 0 0
4 0 4
3 2 0
1 3 0
4 3 3
10 9
2 1 2
0 0 1
1 2 2
0 0 2
2 2 0
1 1 1
2 0 1
0 2 1
2 0 0
0 1 0
10 3
0 0 4
3 3 4
0 2 5
2 3 4
2 5 0
3 2 0
1 4 4
0 0 5
5 5 4
5 5 1
10 2
0 1 1
2 0 1
1 0 0
2 0 0
1 0 1
2 2 0
1 1 2
1 0 2
0 2 0
0 0 2
10 8
2 2 4
1 0 2
2 4 3
0 0 3
1 1 4
1 0 4
2 4 2
0 1 3
1 2 4
4 2 3
10 8
2 1 2
2 0 0
1 0 0
1 1 0
0 2 2
1 1 2
1 0 1
0 1 2
0 0 1
0 2 1
10 7
4 1 3
0 0 1
0 0 4
0 4 3
3 4 3
2 2 1
4 3 0
1 0 0
3 0 3
3 2 0
10 4
1 3 3
0 1 3
3 3 1
1 1 1
2 3 1
3 0 3
1 2 3
1 1 2
0 2 1
0 1 0
10 8
0 2 1
1 2 1
0 5 3
5 0 2
0 2 0
3 0 2
3 5 2
2 1 4
0 0 0
4 3 5
10 2
0 2 1
2 4 2
0 1 3
2 3 4
4 4 4
1 0 0
0 2 2
1 0 1
1 1 1
0 1 2
10 4
2 0 0
1 1 1
1 2 1
0 0 1
1 2 0
0 0 0
2 1 1
2 1 2
0 1 2
1 0 2
10 4
1 3 3
1 0 1
3 1 2
1 0 0
2 1 3
2 1 2
3 1 0
3 1 1
0 2 3
2 3 2
10 6
1 0 4
1 3 3
5 2 2
4 2 3
4 1 4
0 2 0
4 4 0
1 5 0
2 4 2
1 5 2
10 6
1 3 1
0 1 1
1 3 0
1 4 1
4 1 3
0 0 1
2 1 4
1 2 3
4 0 2
0 0 4
10 9
0 3 3
4 3 1
4 0 1
4 2 2
0 1 3
1 1 1
2 1 2
1 2 0
3 3 2
0 0 3
10 4
5 4 2
5 5 0
5 3 3
5 2 3
0 3 4
2 3 2
0 3 1
1 4 5
0 4 1
5 1 5
10 2
1 4 3
3 0 3
4 2 1
3 0 4
0 1 0
4 4 1
2 3 3
3 4 4
1 3 1
4 4 3
10 6
3 1 2
3 0 4
2 1 3
2 3 3
5 4 5
0 2 3
0 1 4
2 3 5
4 2 4
1 1 1
10 3
1 5 4
4 4 3
0 2 4
1 0 2
2 5 4
4 5 3
1 0 3
3 5 3
2 0 3
0 0 4
10 4
2 1 1
1 1 2
1 0 2
0 2 0
2 1 0
2 0 0
2 0 1
1 2 2
1 1 1
1 2 1
10 6
2 0 2
1 0 2
0 2 1
2 1 2
1 1 0
1 1 1
2 1 0
0 2 0
1 2 2
2 2 0
10 5
2 0 1
1 1 2
1 2 2
2 2 2
1 0 1
0 2 2
2 2 0
2 1 2
0 2 1
2 1 0
10 4
0 1 0
1 3 2
2 2 1
2 2 2
0 2 0
2 1 0
2 3 2
1 2 2
3 2 2
3 1 2
10 5
1 2 0
3 1 4
2 4 4
2 3 4
2 4 0
4 1 1
4 0 4
0 0 4
2 1 4
1 2 2
10 2
4 3 2
0 1 1
4 2 3
3 2 2
4 0 1
2 4 3
0 4 2
3 3 2
1 3 2
0 3 2
10 3
1 2 1
2 2 2
0 1 1
1 1 1
0 0 2
2 1 0
0 1 0
1 2 0
1 1 0
0 2 0
10 4
0 2 0
4 0 3
4 3 4
3 1 4
4 3 0
1 4 4
0 1 3
3 0 3
0 3 0
4 1 0
10 2
3 3 1
4 2 1
1 2 4
4 3 1
4 3 2
3 3 2
2 3 4
2 0 1
2 4 2
1 0 1
10 8
0 0 2
2 0 3
3 3 0
1 2 1
0 2 1
0 1 1
3 0 2
1 0 0
0 1 0
2 1 3
10 7
1 3 1
2 2 3
1 2 2
2 2 0
1 1 2
2 1 3
0 2 2
3 0 3
1 0 3
3 3 0
10 6
0 1 2
0 1 3
0 2 5
5 2 3
0 5 4
3 1 2
1 2 1
1 3 5
2 3 0
0 0 2
10 3
1 0 1
2 0 0
0 2 1
0 2 2
1 2 1
1 2 2
1 2 0
0 2 0
2 0 1
1 0 2
10 2
1 2 2
1 5 3
0 4 2
4 3 5
5 3 0
4 1 5
1 3 4
0 1 3
5 3 1
3 2 3
10 4
0 3 2
3 4 4
3 4 0
0 3 0
3 2 4
5 4 0
4 1 5
4 0 5
1 1 4
1 3 5
10 2
3 1 3
2 3 3
2 1 3
2 0 0
0 0 1
1 1 0
0 2 0
3 3 0
1 0 3
2 2 3
10 5
3 2 1
0 5 2
4 5 3
3 4 5
4 5 5
1 1 0
0 5 4
2 1 3
5 0 4
0 3 2
10 8
1 0 2
3 2 2
1 1 1
3 0 1
3 2 0
0 1 2
3 1 1
3 3 2
0 2 0
2 0 2
10 8
1 0 1
1 0 0
2 2 2
2 1 1
1 1 2
2 1 2
2 2 0
1 2 2
1 1 0
1 0 2
10 7
3 2 2
1 2 0
3 1 1
1 1 0
3 0 1
1 2 1
0 0 1
0 3 0
0 0 2
1 2 2
10 2
0 4 3
1 0 2
2 3 4
1 5 3
3 2 5
0 3 5
0 0 5
5 2 0
5 4 3
1 4 3
10 8
0 3 0
0 0 1
1 0 1
0 2 0
0 1 1
3 2 0
0 3 1
0 0 2
0 3 2
3 1 2
10 2
0 5 1
0 2 1
5 5 1
0 0 1
5 3 3
3 3 2
4 0 1
0 1 2
4 3 3
5 3 1
10 7
1 3 2
2 0 1
3 3 1
1 3 4
2 4 4
2 0 3
0 3 1
1 2 4
0 3 2
1 1 4
10 6
0 0 1
1 0 1
0 1 2
0 0 2
2 0 1
0 1 0
1 2 0
2 1 2
0 0 0
2 2 2
10 6
2 3 3
2 1 0
3 2 3
2 3 0
0 1 0
3 2 2
1 2 1
0 3 1
0 1 3
2 0 2
10 6
3 1 3
0 3 1
3 0 2
2 0 1
0 2 1
2 0 0
1 3 2
0 1 2
0 0 1
3 0 1
10 5
1 2 1
0 2 2
1 2 2
1 0 1
2 2 2
2 2 0
1 1 1
0 2 1
2 0 0
1 0 0
10 6
4 0 4
1 2 2
4 3 0
3 3 3
0 3 4
4 4 2
0 3 3
1 4 2
0 1 2
3 2 4
10 9
5 1 4
4 1 2
0 2 0
4 0 4
3 0 3
2 3 0
1 3 4
0 2 3
0 0 2
1 4 5
10 7
0 1 2
0 0 1
1 1 1
0 1 0
1 0 0
2 2 2
2 1 1
1 1 0
1 0 1
0 0 2
10 7
0 1 0
2 2 2
1 2 1
0 2 1
0 1 1
2 0 2
1 2 2
2 1 0
2 1 1
1 2 0
10 9
0 2 2
0 1 1
1 2 0
1 2 2
2 1 0
2 0 2
0 0 2
1 2 1
0 2 1
2 1 1
10 2
0 0 2
3 2 1
3 0 2
2 3 3
3 1 2
2 0 1
3 1 1
2 3 0
3 0 1
3 0 0
10 4
0 3 3
3 3 1
1 0 3
2 0 3
0 0 3
2 1 2
1 1 1
1 3 3
3 3 3
1 1 3
10 9
3 2 2
4 4 1
3 2 5
4 1 2
4 4 4
4 4 5
5 5 0
2 3 2
5 5 5
2 2 0
10 9
2 1 2
1 0 1
3 1 2
0 3 3
2 0 3
3 3 1
2 3 3
0 2 2
0 0 1
2 2 0
10 6
4 1 3
0 2 1
5 3 3
3 4 1
0 0 3
5 0 0
3 1 3
0 1 0
0 2 0
4 0 4
10 3
4 1 2
0 3 2
0 2 4
2 5 4
0 5 2
5 0 3
3 3 1
0 1 5
3 5 0
0 2 3
10 2
2 2 1
3 1 4
3 3 4
0 3 2
2 3 2
1 1 2
3 1 3
0 1 2
4 2 3
2 4 0
10 4
1 1 3
4 0 4
0 1 4
3 2 2
4 5 5
1 4 3
2 4 1
3 1 1
5 3 2
4 4 5
10 8
3 1 3
0 0 2
1 1 4
2 4 1
4 4 0
0 2 4
2 4 0
1 1 2
4 2 0
0 3 3
10 6
2 0 0
2 0 1
2 3 0
1 0 1
1 0 2
3 3 0
1 2 1
3 1 2
0 2 0
2 0 3
10 6
5 5 0
4 0 4
5 3 3
3 2 2
0 3 0
5 2 5
3 5 2
1 0 0
4 0 3
3 4 0
10 2
0 0 1
2 0 2
2 0 0
1 2 1
1 0 2
0 1 0
0 2 2
0 2 0
0 0 0
2 2 1
10 9
0 3 1
0 0 4
1 0 3
1 1 0
4 2 1
4 1 2
4 2 3
0 1 1
1 2 0
2 2 3
10 5
2 3 2
2 3 1
2 1 2
4 0 4
1 3 1
3 4 4
4 1 0
4 2 0
1 0 0
3 1 1
10 2
1 2 0
2 0 1
2 2 2
2 1 2
1 0 0
2 0 0
0 1 0
2 2 1
2 1 0
2 0 2
10 6
4 2 1
1 2 2
3 4 4
4 2 3
3 0 2
3 2 2
1 1 0
2 2 1
3 3 0
2 2 0
10 5
3 1 1
0 1 3
2 2 3
0 1 1
2 0 3
5 1 4
5 3 4
0 2 2
2 0 4
3 2 4
10 4
4 3 1
4 4 5
5 4 3
4 2 3
1 3 4
1 0 5
3 5 5
3 5 4
0 5 5
0 2 5
10 5
1 2 2
2 1 3
2 2 1
1 0 1
4 3 0
1 3 3
0 4 2
2 1 2
2 3 4
0 2 2
10 4
3 1 0
0 3 1
1 0 0
0 2 4
0 1 0
3 4 4
3 0 3
1 1 1
1 4 0
2 2 4
10 8
0 1 2
0 1 0
2 1 2
0 0 3
1 2 0
2 0 3
3 0 3
3 2 1
1 2 1
1 0 0
10 3
1 0 1
1 3 0
2 2 1
3 2 1
2 2 0
1 0 2
2 3 2
3 0 2
1 1 0
0 2 3
10 8
2 1 0
0 1 0
3 3 0
3 2 3
2 2 1
3 1 1
1 2 2
1 3 1
3 2 1
1 0 3
10 9
1 2 4
1 2 2
3 2 0
1 0 0
4 3 0
0 0 4
4 0 1
3 0 3
2 2 2
0 2 3
10 7
2 4 2
1 1 2
2 2 0
1 2 3
3 3 2
4 1 5
2 0 2
0 5 5
2 2 1
2 4 0
10 8
0 5 1
1 2 1
3 2 0
1 2 0
4 1 4
4 3 1
3 4 4
3 5 3
4 0 5
5 3 4
10 8
5 3 0
0 5 2
5 5 5
0 1 0
1 1 0
3 3 3
0 2 5
2 3 5
1 4 2
3 1 5
10 4
1 1 0
2 2 1
0 2 1
0 0 0
2 1 2
1 1 1
1 2 2
2 0 1
1 0 1
1 0 0
10 4
3 1 0
1 4 3
0 3 0
1 0 2
2 1 3
3 4 1
2 1 1
1 0 0
1 3 4
1 4 1
10 8
0 2 0
3 3 0
3 3 3
3 1 4
1 4 1
4 0 3
4 1 2
3 2 3
3 4 1
4 0 1
10 6
2 2 1
2 0 2
0 1 1
1 1 1
0 0 1
1 0 2
2 0 0
1 1 0
1 2 1
0 0 0
10 6
5 2 1
4 3 2
2 4 4
1 5 2
3 5 0
3 4 1
1 3 0
2 0 3
4 1 2
4 2 1
10 3
2 3 1
3 3 2
0 2 1
0 1 2
0 3 1
2 1 2
3 0 2
2 3 2
1 1 1
1 0 3
10 7
1 1 1
0 1 1
1 2 1
1 2 0
2 2 1
0 1 0
0 1 2
2 0 0
1 0 0
0 2 1
10 5
2 1 1
1 0 1
0 2 0
2 1 0
1 2 0
1 0 0
0 0 1
2 0 1
1 2 1
0 0 0
10 5
4 1 1
3 3 0
1 1 4
4 2 1
3 3 2
2 2 0
4 4 0
0 2 2
4 0 3
2 1 0
10 4
3 3 3
1 0 0
3 3 0
0 2 1
2 2 2
1 3 3
2 0 1
3 0 1
2 3 3
1 2 3
10 9
1 2 2
0 2 1
1 2 1
1 0 1
0 1 2
2 0 2
1 1 0
2 0 0
1 1 2
2 0 1
10 8
2 0 2
1 1 2
0 2 1
2 3 0
0 1 2
3 3 3
2 2 3
0 0 3
3 0 0
3 2 3
10 7
2 5 1
2 0 0
0 4 5
2 0 4
1 2 1
2 1 2
2 4 3
1 4 5
4 0 1
0 0 0
10 7
5 4 2
4 1 3
3 1 4
5 3 0
1 0 3
4 4 3
3 4 3
2 1 2
2 1 5
2 2 3
10 9
2 0 1
0 0 1
1 2 1
0 2 2
2 0 0
2 2 2
2 1 2
2 1 1
1 1 0
1 2 0
10 5
4 3 1
0 3 2
3 1 3
4 0 3
1 3 2
4 0 0
3 2 1
2 3 4
0 4 0
3 4 2
10 3
1 0 0
1 0 1
1 0 2
1 1 2
2 2 4
2 2 2
4 0 1
0 4 0
0 3 1
1 4 2
10 9
0 0 0
4 0 4
2 4 0
5 2 0
2 3 1
1 0 5
3 0 5
5 5 1
1 4 0
4 5 0
10 7
4 3 4
3 2 0
2 4 4
4 4 2
4 2 0
0 1 0
4 2 4
1 1 4
1 3 4
0 3 4
10 3
2 4 2
1 1 4
2 2 2
3 4 0
3 2 0
0 0 3
1 3 2
4 4 4
0 0 1
1 3 0
10 8
2 1 0
1 0 0
0 2 2
2 1 2
2 0 2
1 2 0
0 2 1
0 1 2
0 1 0
1 1 1
10 9
1 4 4
1 0 4
3 0 3
3 4 4
3 1 0
3 3 0
4 0 4
2 4 1
2 1 0
0 2 4
10 5
1 4 2
1 3 0
2 0 2
4 0 3
3 2 2
3 2 4
3 1 3
0 3 1
4 1 0
0 0 4
10 8
4 5 0
4 0 0
0 2 5
3 3 2
4 3 3
0 4 2
1 1 2
3 2 4
1 3 5
4 0 1
10 4
1 2 0
3 3 2
1 0 2
4 1 4
0 2 0
0 4 1
3 1 1
1 1 3
0 2 4
1 1 4
10 8
1 0 0
0 0 1
2 0 2
1 4 3
4 1 4
1 5 4
0 5 1
1 2 0
1 3 4
1 2 1
10 6
3 4 1
1 1 3
0 2 2
4 5 3
0 5 3
0 1 0
2 0 1
4 1 0
2 4 1
5 2 0
10 9
1 0 0
0 2 2
2 1 0
1 1 2
1 2 1
0 1 1
2 0 0
0 1 0
2 1 1
2 0 2
10 3
1 0 1
0 1 1
2 1 2
2 0 0
1 0 0
1 0 2
0 0 2
0 0 1
1 2 0
2 2 2
10 8
3 1 2
1 0 3
1 1 3
0 2 3
3 2 3
2 1 3
0 0 2
3 3 0
2 0 2
2 0 1
10 4
2 2 0
2 0 1
0 2 0
2 2 1
1 2 1
0 0 2
2 0 0
0 1 1
0 0 0
2 1 0
10 2
4 3 2
0 0 2
2 2 4
4 0 1
4 2 0
2 3 0
2 0 4
2 3 2
3 4 0
1 1 2
10 5
3 4 1
0 2 3
1 0 0
0 4 2
1 0 3
3 4 0
2 0 1
2 3 1
0 1 0
3 4 2
10 5
0 0 1
5 5 3
3 3 1
0 0 0
0 2 3
4 2 0
3 4 0
5 3 4
4 4 3
4 0 1
10 6
4 4 1
4 1 3
1 1 1
4 4 2
4 1 1
1 1 4
2 2 3
1 0 3
3 3 0
4 4 0
10 5
0 2 0
2 1 1
0 0 1
0 1 0
1 1 0
2 2 2
1 1 1
0 0 2
2 0 0
2 0 2
10 2
2 1 2
1 1 4
3 2 1
1 2 4
3 3 0
2 1 0
4 4 4
0 4 2
3 1 3
4 2 0
10 5
0 1 3
1 3 0
2 0 2
3 3 2
1 1 2
0 0 3
3 0 3
0 0 0
3 1 0
3 2 3
10 2
4 4 0
3 0 1
1 5 5
5 2 2
0 5 5
5 2 0
4 3 4
3 2 3
3 2 1
1 2 2
10 4
0 1 0
3 1 0
0 1 1
2 0 2
1 3 0
2 1 2
1 0 0
3 2 3
2 0 3
2 1 3
10 5
0 3 3
0 1 0
3 3 2
0 2 2
0 0 2
3 1 1
0 0 0
1 0 3
3 3 0
1 3 1
10 3
1 3 0
0 3 3
2 2 3
0 0 2
1 1 1
0 0 1
0 2 1
2 0 2
3 0 0
0 0 3
10 5
4 3 1
4 4 3
5 1 5
4 4 2
0 4 1
2 5 2
3 2 4
5 1 3
4 4 1
4 3 2
10 9
0 2 0
1 2 1
1 2 0
2 0 2
2 1 2
2 2 0
0 0 1
0 0 0
2 1 0
1 0 0
10 6
2 1 2
0 1 0
0 1 2
1 0 0
1 2 2
0 2 2
1 1 1
2 1 0
2 0 0
1 1 2
10 6
1 4 0
0 1 3
4 1 4
3 4 0
0 4 0
3 0 0
2 3 3
2 2 3
3 4 2
1 2 1
10 9
2 0 0
1 0 2
1 2 2
2 1 0
2 1 2
1 1 2
0 1 2
0 1 0
0 0 2
0 0 1
10 5
2 3 0
5 2 1
5 1 0
1 4 1
3 3 0
3 5 0
4 1 2
5 5 4
0 1 0
5 0 2
10 9
1 1 0
1 0 2
2 0 1
0 2 2
2 2 2
2 1 0
0 1 2
1 0 0
0 1 0
1 2 1
10 5
1 0 0
0 2 2
1 1 0
0 0 1
1 2 1
1 1 2
2 2 0
2 1 2
0 1 1
1 0 2
10 9
2 1 2
0 0 0
1 0 2
0 2 1
2 2 2
1 1 2
1 1 0
2 1 1
2 0 1
2 1 0
10 5
5 3 1
3 2 2
5 2 4
4 2 2
2 2 0
3 2 1
5 5 5
4 3 0
0 5 0
0 3 3
10 7
0 1 1
1 3 4
0 4 3
2 1 4
1 1 0
0 0 0
1 3 0
4 2 0
1 0 2
2 4 3
10 3
2 1 2
2 3 2
1 3 2
1 3 1
3 1 1
2 2 2
2 2 1
0 0 1
3 0 3
0 2 1
10 6
0 1 1
5 5 2
0 1 5
3 4 4
0 4 0
0 2 0
4 4 1
1 0 3
1 4 5
2 5 5
10 8
1 2 3
3 3 3
1 4 0
5 1 2
0 4 1
4 3 3
2 4 2
4 2 3
5 2 3
4 1 4
10 2
3 0 3
1 3 2
0 1 2
0 3 3
2 0 0
2 1 2
1 1 3
3 1 2
1 0 2
2 3 2
10 7
1 2 0
0 3 2
0 1 0
2 0 1
3 3 2
2 3 2
0 0 3
3 3 0
0 3 3
1 3 3
10 6
1 5 4
0 1 3
4 1 5
5 2 0
3 0 3
1 2 4
1 3 0
5 4 0
3 0 2
4 4 0
10 9
1 1 1
1 2 0
2 2 2
2 2 0
0 1 0
1 2 2
0 0 2
2 0 1
2 1 0
2 1 2
10 6
3 0 0
0 0 3
1 1 3
0 1 2
3 3 2
1 3 0
3 0 1
1 2 3
0 3 2
2 1 1
10 4
4 3 3
3 0 2
4 4 5
2 1 1
5 0 2
2 5 2
1 4 2
5 1 1
5 3 4
3 2 0
10 8
5 4 2
1 0 0
5 0 2
0 2 1
3 4 2
5 4 4
1 2 5
1 5 1
3 0 4
4 2 1
10 4
2 0 3
2 1 2
4 4 2
0 0 1
2 0 4
2 2 1
3 2 2
3 2 4
3 0 3
3 4 3
10 9
2 1 2
0 0 1
1 2 2
2 1 0
2 2 2
1 1 2
1 2 1
1 1 1
2 0 1
0 2 2
10 4
1 0 0
3 3 2
1 1 0
1 0 1
4 4 3
2 0 2
3 4 1
3 4 3
0 0 2
3 2 3
10 2
3 0 1
0 0 3
3 1 0
0 3 3
2 2 1
2 3 3
0 1 1
3 3 1
1 1 0
1 2 1
10 9
3 3 2
1 0 3
2 2 0
1 1 2
1 3 2
0 0 2
1 0 1
0 2 0
2 0 0
3 2 3
10 4
2 1 2
1 0 0
2 1 1
1 2 2
2 1 0
2 0 0
1 1 0
0 1 1
0 0 2
0 0 0
10 4
0 2 2
1 0 2
2 2 0
1 2 0
0 0 2
1 1 1
0 0 1
1 2 2
2 1 1
0 1 2
10 4
1 2 3
0 0 3
3 2 0
0 3 0
1 0 1
3 3 1
3 2 3
3 1 2
3 3 2
0 0 1
10 3
5 1 1
1 1 4
3 1 3
4 3 4
3 0 2
0 1 3
3 3 3
4 1 2
5 0 1
0 2 2
10 6
3 1 3
2 0 0
2 3 2
3 3 1
2 1 2
1 3 0
3 0 0
0 0 0
0 3 1
1 3 1
10 5
4 4 1
4 2 2
2 0 0
4 3 2
0 4 0
2 4 3
3 4 2
2 1 4
0 3 1
3 1 1
10 2
4 4 4
0 3 2
2 2 0
3 1 2
4 2 1
4 0 0
1 2 4
0 2 0
0 1 4
3 3 3
10 4
0 2 0
1 0 5
5 5 5
4 5 3
5 3 2
4 2 3
2 3 3
2 1 2
1 3 3
2 5 2
10 7
3 3 0
1 0 1
3 2 2
1 2 3
2 3 1
2 2 0
1 2 1
1 3 2
3 0 0
1 0 0
10 8
0 4 3
5 3 2
3 1 1
0 4 4
4 5 0
2 0 0
0 5 4
3 5 4
2 5 2
1 3 0
10 5
1 1 0
2 2 1
0 2 0
2 0 0
2 0 1
2 1 2
0 2 2
2 0 2
2 1 1
0 0 2
10 8
3 0 5
1 5 5
2 2 1
1 0 4
1 4 4
4 4 3
3 1 0
0 3 3
5 5 1
0 0 4
10 6
1 0 0
2 1 1
1 1 2
0 2 2
0 1 1
0 0 0
1 2 2
1 1 1
1 2 0
1 0 2
10 6
2 0 3
3 3 0
0 0 1
2 1 1
1 0 0
4 0 1
3 1 1
2 3 2
0 2 0
3 0 4
10 7
2 1 0
1 2 2
3 0 1
2 0 2
2 3 0
1 2 3
2 3 1
1 0 1
2 1 2
2 1 3
10 9
2 1 3
0 1 3
3 1 3
0 1 0
1 1 2
2 1 2
2 2 2
3 0 1
3 3 2
0 2 0
10 7
2 1 2
3 0 1
3 1 1
2 3 3
0 3 3
1 2 2
1 3 2
0 0 0
1 1 1
1 1 3
10 3
3 3 1
0 3 2
2 3 3
1 3 0
1 1 1
3 2 0
3 3 2
1 2 2
0 2 3
1 2 0
10 8
1 2 1
2 1 2
0 2 1
2 1 0
0 0 0
1 2 0
1 0 1
0 1 0
1 2 2
2 0 0
10 7
4 0 0
5 2 4
2 3 1
5 1 4
5 2 1
4 1 1
2 5 3
0 5 0
4 1 5
2 3 0
10 8
1 1 0
3 2 3
3 1 0
2 0 0
1 1 1
2 2 3
2 1 2
0 0 1
0 3 3
0 2 2
10 2
3 3 1
2 1 0
0 2 2
4 4 1
0 1 0
4 3 1
4 0 1
4 1 3
3 1 4
1 3 0
10 2
3 3 1
2 2 3
0 0 0
2 1 2
2 1 1
2 1 0
2 0 3
1 1 3
2 3 2
2 3 3
10 5
0 0 2
0 1 0
0 3 3
0 0 0
3 3 1
1 3 2
1 3 1
1 1 1
0 1 3
2 3 2
10 8
2 2 1
2 0 3
2 0 0
0 2 2
1 0 2
0 1 3
2 2 0
0 1 1
1 2 1
0 0 3
10 5
2 3 1
3 2 2
0 3 2
2 3 2
0 1 0
1 2 3
2 2 1
1 3 0
0 0 1
3 1 2
10 9
1 2 1
2 3 2
0 3 3
1 3 3
0 0 2
3 1 3
0 3 1
3 2 2
0 0 3
1 1 2
10 6
0 2 0
1 1 0
2 0 1
0 0 1
0 2 2
2 1 0
0 0 2
2 1 2
1 2 1
1 0 2
10 6
0 3 4
4 2 2
1 3 0
5 5 4
0 5 1
1 1 2
3 4 2
0 2 2
5 0 4
1 0 4
10 3
0 2 2
2 0 0
2 1 2
2 1 0
2 0 1
0 0 0
0 0 1
0 1 2
1 2 1
1 0 2
10 5
0 2 4
1 1 3
2 2 3
3 1 0
4 1 4
3 3 0
2 3 1
4 2 0
4 3 2
3 3 4
10 6
0 2 0
4 2 1
0 4 2
2 2 4
1 1 0
3 1 3
0 0 1
3 3 0
4 0 4
2 4 3
10 9
1 3 1
3 2 0
2 1 4
2 0 1
2 0 3
4 3 4
4 3 2
0 1 3
2 3 2
0 2 4
10 3
1 1 0
1 2 2
2 1 0
1 0 1
0 0 2
0 2 1
0 1 2
1 1 1
2 1 2
1 2 0
10 4
1 2 0
2 1 1
1 2 2
2 0 0
0 1 1
1 1 2
1 1 1
2 1 0
0 1 2
0 0 0
10 8
2 0 0
2 1 1
1 0 0
1 0 1
1 0 2
0 0 0
0 0 2
0 2 2
1 1 2
0 1 2
10 8
4 2 0
4 1 0
3 0 4
3 4 2
1 2 1
4 0 4
3 3 3
4 4 0
1 1 3
3 1 0
10 6
5 4 5
2 0 2
1 5 4
3 5 2
2 0 0
3 3 0
4 1 1
5 4 2
5 2 4
1 5 5
10 2
2 1 2
2 3 1
1 3 3
0 3 3
2 0 3
0 2 3
1 2 2
3 2 0
3 0 1
3 3 0
10 5
2 0 2
3 0 2
2 0 0
3 2 1
3 3 3
2 3 2
1 3 2
3 3 2
2 1 0
3 0 3
10 3
1 3 2
1 2 3
1 2 2
3 2 2
2 0 0
2 1 1
3 1 1
2 1 2
3 2 3
3 2 1
10 2
3 3 2
3 2 4
3 1 3
2 1 1
0 2 4
3 2 2
3 2 0
4 0 0
3 2 3
2 0 0
10 4
5 2 5
1 2 2
1 2 3
0 3 2
4 2 2
4 3 3
0 5 0
0 4 3
2 0 1
4 5 2
10 5
0 1 0
0 1 2
2 1 2
2 0 1
0 0 2
1 0 0
0 2 2
2 2 2
1 0 1
1 2 1
10 2
4 4 2
1 1 0
0 1 4
0 3 1
2 1 2
4 4 0
1 4 1
0 4 1
0 1 2
1 3 2
10 9
1 2 0
0 1 2
2 1 1
2 2 2
0 0 0
2 0 2
0 1 0
1 0 2
0 1 1
1 0 0
10 3
3 3 1
4 0 4
1 4 4
1 4 3
3 2 4
1 3 2
2 2 1
3 4 2
0 2 1
3 0 2
10 7
0 0 1
2 3 3
0 1 2
0 2 2
0 3 2
0 2 3
3 0 1
3 0 0
1 3 1
3 2 2
10 4
0 1 0
0 2 0
3 3 0
1 2 3
3 1 2
3 2 3
1 1 2
2 1 3
3 0 1
0 3 1
10 3
4 2 3
3 2 4
1 3 4
3 1 3
1 3 2
1 4 2
3 0 3
1 2 1
2 4 0
4 1 2
10 2
0 1 2
2 1 1
2 0 0
2 0 2
3 3 2
3 2 2
1 2 2
0 0 2
0 2 0
3 0 3
10 6
3 3 2
3 0 3
3 0 0
0 3 1
0 0 2
1 1 3
1 2 1
1 3 3
1 3 2
3 2 0
10 8
0 3 0
3 0 1
1 2 1
2 1 2
0 2 2
1 1 3
3 2 0
1 3 1
3 3 3
3 2 2
10 4
1 2 3
2 2 3
1 1 3
0 2 2
1 1 2
0 2 1
3 3 0
1 1 1
2 0 1
2 1 2
10 8
4 0 0
0 0 5
0 1 1
2 2 0
2 3 4
5 4 5
4 5 3
2 3 3
1 4 5
3 1 3
10 9
2 2 2
1 0 2
2 1 0
2 1 2
2 2 1
0 0 0
1 1 2
0 1 0
0 0 1
0 1 1
10 8
3 1 1
1 3 1
0 2 4
4 4 4
1 2 2
1 1 1
2 3 1
0 3 1
4 4 3
0 0 4
10 4
2 1 1
1 1 1
3 2 2
4 4 1
3 1 1
0 0 2
2 4 4
0 4 4
3 0 4
2 1 0
10 4
0 1 1
2 2 3
2 2 0
2 2 2
4 3 2
1 2 0
3 1 2
1 3 3
3 0 0
1 2 3
10 6
2 3 1
3 3 3
3 3 1
0 1 2
0 3 0
0 0 3
1 0 1
2 0 0
0 2 3
2 3 3
10 8
0 0 0
3 3 1
0 4 4
3 2 3
2 2 4
2 3 1
4 3 4
3 3 4
2 1 4
3 2 1
10 8
1 0 0
0 2 2
0 2 1
2 1 0
1 2 1
1 0 2
2 0 1
0 0 2
2 1 1
0 1 0
10 7
0 2 0
0 2 2
1 0 1
1 1 1
0 1 0
0 1 1
1 2 2
2 2 2
0 2 1
2 2 1
10 8
0 0 0
2 1 1
1 1 1
0 2 0
0 1 1
2 2 2
1 1 2
0 1 2
1 0 0
1 1 0
10 9
0 0 2
0 3 2
1 2 2
2 2 3
2 0 1
1 0 0
1 1 0
0 3 0
0 2 2
1 3 2
10 7
1 3 0
3 3 1
1 3 2
3 0 2
1 3 3
0 1 0
0 3 3
1 2 1
3 1 0
2 2 2
10 3
1 5 4
0 1 4
3 5 2
0 5 2
1 4 4
0 1 3
1 1 3
3 3 4
0 5 5
3 0 4
10 5
0 1 1
2 1 2
0 0 1
2 1 0
2 2 0
0 1 2
2 0 2
1 1 2
0 0 0
0 2 0
10 6
5 4 3
1 4 3
3 4 0
0 1 5
4 5 4
5 4 5
2 1 0
0 3 2
4 4 5
3 3 4
10 5
1 0 2
2 1 3
2 3 3
1 2 3
0 0 1
2 3 1
1 1 1
1 2 2
0 3 3
2 3 0
10 6
1 0 0
0 4 1
2 4 2
0 3 4
0 1 4
5 2 3
2 0 3
0 0 5
1 3 3
0 5 0
10 9
2 0 1
0 1 0
1 0 0
1 1 2
2 1 1
2 1 0
2 1 2
0 2 0
2 0 2
0 1 2
10 3
3 0 3
2 1 4
0 4 2
4 3 1
3 3 0
3 4 1
0 1 0
4 3 4
1 3 1
1 4 3
10 5
2 2 1
2 1 1
3 1 1
2 2 2
1 2 2
2 0 1
2 1 2
1 3 3
1 1 1
2 0 3
10 7
5 3 5
3 5 0
2 0 4
1 1 1
2 5 4
4 4 1
0 0 1
5 2 0
0 2 0
0 5 0
10 2
2 2 2
0 2 5
5 2 0
0 2 1
2 0 4
0 0 5
2 4 1
2 4 0
3 3 0
5 5 2
10 8
2 2 0
2 1 2
0 1 1
1 1 2
0 2 0
2 1 0
1 2 1
2 2 2
2 2 1
0 0 1
10 2
3 0 5
3 4 2
5 0 0
5 0 1
1 0 0
3 2 1
1 0 4
3 3 4
5 2 4
0 3 4
10 3
1 0 2
2 0 2
2 0 1
0 1 1
0 0 1
0 2 1
1 1 0
1 2 2
2 2 1
1 2 1
10 4
0 3 1
2 1 3
0 2 0
4 0 2
0 4 4
2 3 2
4 3 0
2 1 0
3 3 2
0 0 0
10 2
1 3 2
2 3 2
0 2 2
2 0 0
0 0 3
1 0 3
0 1 0
1 1 1
2 2 3
0 1 1
10 6
1 1 1
0 0 1
0 2 1
2 2 2
0 0 0
0 0 2
1 0 1
0 2 0
1 0 0
2 2 0
10 2
3 3 1
0 0 0
2 3 0
1 2 3
1 0 1
3 2 1
0 1 3
2 0 2
3 0 1
2 1 3
10 3
1 0 1
1 2 1
0 0 2
1 0 2
0 0 1
2 2 1
2 1 0
1 1 1
1 1 2
1 1 0
10 3
0 2 1
0 1 1
0 2 2
1 1 0
0 0 1
1 0 2
2 0 1
2 2 0
2 2 2
0 1 0
10 6
3 3 1
1 4 1
2 2 2
1 4 0
2 4 3
4 1 2
4 3 2
2 3 4
4 4 3
4 0 1
10 6
2 2 3
0 2 1
3 1 3
1 0 1
1 2 2
2 3 2
1 0 2
3 0 3
2 1 2
0 3 0
10 9
2 4 4
3 1 2
5 0 4
4 5 5
1 2 5
2 5 1
0 4 5
4 0 3
3 4 0
4 4 1
10 2
0 5 2
1 2 4
4 4 3
0 5 4
3 2 3
2 4 4
2 4 0
4 1 5
1 3 4
4 3 1
10 5
2 2 2
2 1 1
1 1 0
0 1 0
2 2 0
1 2 1
0 0 1
0 2 1
0 1 1
1 1 2
10 8
4 1 4
0 0 2
3 0 2
0 3 2
2 0 1
4 2 2
0 1 0
3 1 0
1 1 3
4 2 0
10 8
5 3 2
5 5 0
2 5 4
1 1 2
2 1 3
1 0 5
1 3 1
3 5 0
5 5 2
1 4 5
10 8
1 2 0
0 2 2
1 1 1
1 1 0
0 1 0
1 0 1
2 2 2
2 2 1
2 0 0
2 1 0
10 6
5 1 5
0 2 5
5 0 3
1 0 0
5 0 2
4 2 1
2 2 1
1 3 5
5 3 1
0 3 4
10 4
2 2 1
2 0 2
0 1 2
2 1 0
0 1 1
2 1 2
1 0 1
2 2 0
0 2 1
0 2 2
10 8
1 1 3
2 2 2
1 2 0
3 1 1
1 3 1
2 3 1
1 0 0
3 2 2
3 2 0
2 0 3
10 2
2 0 1
0 0 2
1 1 0
1 2 2
0 2 0
1 2 1
0 2 2
1 1 2
2 1 1
0 1 2
10 2
1 1 3
4 4 4
4 4 3
3 2 3
3 3 2
1 0 1
1 0 2
3 2 0
2 3 0
3 3 3
10 5
1 0 3
3 4 2
0 2 2
1 2 1
1 0 0
1 4 3
3 1 0
0 3 4
2 0 0
2 0 4
10 7
1 2 1
2 3 1
1 0 1
1 1 0
2 0 0
0 1 1
3 2 2
3 0 3
1 1 2
3 2 0
10 2
1 0 2
2 2 1
1 3 0
0 1 1
3 0 2
3 1 2
1 2 2
2 2 3
0 2 3
1 2 0
10 4
3 2 1
2 1 2
2 1 0
1 3 1
2 0 3
0 0 3
1 1 0
0 2 3
0 2 1
1 3 0
10 9
2 0 3
3 2 2
3 0 3
2 3 3
4 0 1
2 3 4
4 5 3
5 2 0
0 2 3
3 3 3
10 8
3 1 2
1 0 3
2 2 0
3 1 0
2 3 0
2 1 3
3 3 1
0 1 1
2 2 3
2 0 3
10 8
0 1 3
1 0 2
3 4 2
5 2 5
0 3 5
5 1 3
4 0 3
2 3 5
0 0 5
2 4 4
10 6
3 0 4
1 4 2
4 0 3
4 3 2
0 4 0
0 2 4
1 0 1
2 1 4
2 0 0
3 2 3
10 9
2 3 2
2 1 2
4 0 5
2 4 2
0 4 1
2 4 1
3 1 0
5 5 2
3 3 4
5 4 0
10 3
1 1 3
0 0 0
3 2 1
1 0 0
1 3 3
3 1 0
1 2 3
3 1 1
3 1 3
2 1 3
10 9
1 2 1
0 2 0
2 1 1
2 2 1
1 0 0
0 2 2
1 2 0
2 0 0
0 1 1
2 2 0
10 4
3 2 0
1 2 0
0 2 3
0 3 3
1 0 3
2 1 0
1 1 1
1 3 3
1 3 1
0 2 1
10 9
2 0 3
0 5 4
4 1 0
5 0 5
0 3 4
2 1 1
5 2 4
4 2 5
4 2 3
0 0 3
10 5
2 0 1
3 3 2
2 3 0
3 2 0
0 0 3
0 2 3
1 2 2
1 0 3
0 3 1
2 1 1
10 2
1 0 2
0 2 2
2 1 1
1 2 0
2 0 1
2 0 2
0 0 1
1 2 2
1 1 0
2 2 2
10 5
1 0 0
0 1 1
0 2 0
1 2 1
2 0 0
1 0 1
0 1 0
2 0 2
2 2 1
1 1 2
10 9
0 3 3
3 1 3
4 0 0
0 2 0
3 1 4
1 4 0
0 2 1
2 3 1
3 4 1
4 4 0
10 9
2 1 2
1 1 1
0 0 0
0 0 1
1 2 0
1 1 0
1 0 2
2 0 1
1 0 0
0 1 0
10 4
0 0 3
0 1 2
1 3 1
3 1 0
0 3 2
4 3 0
1 4 0
1 3 3
4 0 4
2 3 0
10 9
3 3 3
2 4 4
1 2 3
1 1 1
4 1 0
3 1 0
3 3 2
0 3 4
0 1 2
1 4 4
10 8
0 1 0
0 0 1
1 2 4
1 2 0
4 2 0
3 3 1
3 1 3
4 0 4
3 4 4
4 0 3
10 2
2 3 0
2 0 4
4 1 3
4 2 0
4 0 1
5 5 5
4 4 0
0 2 5
1 0 3
4 0 2
10 5
1 1 4
5 1 5
2 0 2
5 2 2
0 3 1
0 3 4
5 0 1
2 2 5
0 2 3
4 1 0
10 7
4 3 1
2 1 0
3 4 1
3 2 2
4 1 2
0 3 4
1 3 0
4 4 2
1 4 0
3 3 1
10 5
2 1 2
1 2 0
0 0 1
0 0 2
1 1 0
0 1 1
1 0 1
1 0 2
2 0 1
0 1 2
10 2
0 1 0
2 1 1
1 2 2
1 1 2
1 0 1
0 2 1
1 0 2
1 2 0
2 0 0
1 0 0
10 2
5 5 0
2 2 3
5 4 0
4 4 1
2 0 5
5 1 4
2 1 3
1 5 1
1 2 5
5 3 0
10 5
0 1 0
1 0 0
1 2 1
1 0 1
1 1 0
0 0 2
1 1 2
0 2 0
2 2 0
0 0 1
10 2
3 1 0
2 3 3
3 2 1
1 2 3
2 0 3
3 1 2
3 0 2
1 2 1
0 1 3
2 3 2
10 2
1 2 2
0 1 2
0 0 2
2 0 0
2 0 1
2 1 1
1 2 0
0 2 0
1 2 1
0 0 1
10 2
2 0 1
0 0 2
2 2 1
1 1 0
1 0 2
0 1 0
1 2 2
1 1 2
0 2 0
2 1 2
10 9
2 3 2
2 4 3
2 0 4
3 4 2
4 0 2
0 0 3
0 4 0
3 3 3
3 3 0
2 1 2
10 7
1 1 1
1 2 2
2 2 2
1 0 0
0 2 1
1 0 1
0 0 0
2 2 0
2 1 2
1 2 0
10 4
3 3 3
1 1 2
0 5 4
1 0 2
2 5 0
1 2 0
3 2 2
3 1 0
1 4 2
3 5 5
10 6
3 3 2
4 5 4
0 4 1
2 4 5
3 2 2
5 2 1
0 4 5
3 1 0
5 0 5
3 3 5
10 7
1 1 0
2 1 0
0 0 1
0 1 1
2 1 2
1 2 1
0 2 1
0 1 2
1 2 0
1 1 1
10 8
2 2 3
3 0 2
2 3 2
3 3 2
2 3 0
2 2 2
0 2 2
0 3 1
0 1 3
3 2 0
10 5
2 2 3
1 5 0
2 4 1
4 4 4
1 0 4
0 0 5
5 2 0
1 2 2
1 5 1
2 2 0
10 9
2 1 1
0 2 3
2 0 1
0 0 1
1 2 0
1 3 1
3 1 3
3 3 2
0 1 3
2 0 2
10 4
1 0 2
3 1 2
1 2 1
0 2 2
1 4 4
2 2 3
1 1 1
2 0 3
4 4 1
4 1 0
10 4
1 0 1
1 2 1
1 1 0
2 0 2
2 0 1
2 2 2
0 0 0
0 2 2
2 1 2
1 1 1
10 9
4 2 4
3 2 5
5 4 1
3 5 0
3 5 1
4 0 3
5 5 5
3 4 5
2 3 5
5 0 2
10 5
1 0 2
1 2 2
0 2 0
1 0 0
0 0 2
1 2 0
2 0 0
1 1 0
0 0 1
2 1 1
10 5
4 3 0
4 1 1
0 2 2
1 1 1
0 4 1
1 3 4
4 2 0
3 4 2
3 0 0
3 4 3
10 4
2 0 0
1 1 0
2 0 1
1 2 2
2 1 2
2 2 2
0 2 0
1 0 2
0 1 2
2 0 2
10 4
2 5 3
2 5 1
0 2 4
2 1 4
1 4 1
5 1 5
3 3 4
1 4 5
0 4 5
2 5 0
10 7
0 0 3
3 1 0
1 3 3
1 3 0
0 3 3
3 3 1
2 3 0
0 3 2
3 0 0
3 0 3
10 6
2 3 2
0 2 2
0 0 4
0 4 3
2 2 2
3 0 4
1 0 1
3 2 0
0 2 1
3 0 0
10 3
4 0 5
4 5 5
3 4 5
1 3 5
4 3 5
0 4 4
1 2 0
2 5 2
4 2 5
5 3 3
10 6
1 1 3
5 0 4
5 1 0
1 4 3
0 1 0
2 3 5
3 2 2
3 1 5
0 0 5
5 0 1
10 9
1 3 0
0 0 0
2 1 0
3 2 3
3 1 0
2 3 2
0 1 1
0 2 1
2 2 1
3 2 2
10 7
3 0 2
2 0 3
4 5 3
3 0 0
5 2 4
5 1 2
0 2 4
0 5 4
4 5 4
0 4 5
10 4
0 0 1
0 1 2
1 0 1
1 2 2
2 2 1
1 1 1
2 0 1
0 2 2
0 1 1
2 0 0
10 5
5 1 4
3 1 2
2 4 4
4 5 1
2 4 5
0 1 0
5 5 3
4 3 0
3 2 1
2 2 0
10 6
2 5 1
2 3 0
2 3 2
5 5 3
4 2 5
4 5 1
3 2 2
3 1 0
3 0 1
3 3 5
10 7
4 2 3
3 0 3
2 0 3
4 1 0
0 1 1
0 1 4
0 2 1
0 0 1
3 1 1
2 3 3
10 6
2 1 0
0 0 2
1 2 1
0 2 1
2 2 0
1 1 1
1 0 2
2 2 1
0 0 0
0 0 1
10 2
3 2 4
1 4 1
0 0 1
1 0 2
1 4 4
4 3 1
3 1 1
4 0 1
3 3 4
1 2 0
10 7
1 2 2
1 1 0
0 1 1
2 1 1
2 1 0
1 1 2
0 1 2
2 0 2
1 1 1
2 0 1
10 4
0 0 3
0 2 1
0 0 2
3 2 2
0 3 2
0 0 0
1 1 1
0 3 3
0 1 2
1 0 3
10 9
2 3 3
1 0 3
4 3 1
2 2 4
3 3 0
3 2 0
4 0 3
4 3 4
3 3 1
4 2 2
10 8
3 3 1
0 1 2
0 0 1
3 4 1
3 1 2
1 1 4
5 0 0
3 2 0
2 1 5
5 1 1
10 6
4 0 2
4 1 0
0 1 0
0 3 1
1 1 1
0 4 1
3 1 1
2 1 3
1 4 4
4 0 4
10 9
0 1 0
0 2 0
2 1 1
1 2 1
0 0 2
2 1 2
2 1 0
2 0 1
1 1 1
1 0 0
10 4
3 2 3
1 0 2
0 0 1
3 0 2
2 3 0
3 1 0
1 3 1
2 1 1
3 3 3
2 2 1
10 2
3 1 3
2 2 2
0 2 2
3 3 3
1 2 0
3 1 1
1 0 2
0 3 1
2 3 1
0 3 2
10 4
2 1 1
1 2 2
0 2 1
2 0 1
1 0 2
2 2 1
2 2 2
1 1 2
0 2 2
0 1 0
10 9
5 1 0
3 4 5
5 1 5
4 1 5
1 1 0
4 4 3
1 4 5
0 4 3
0 0 5
3 5 3
10 5
2 3 3
1 0 1
1 4 4
4 0 2
3 2 1
0 1 4
5 1 2
0 4 3
3 5 3
1 2 2
10 9
1 0 0
0 0 2
0 1 3
0 1 0
1 3 0
3 2 3
2 3 2
2 0 0
2 2 0
1 1 2
10 7
3 1 1
1 2 2
1 0 0
1 2 0
2 3 0
1 1 1
3 3 2
1 3 2
1 3 0
0 0 2
10 3
2 0 3
4 1 0
1 4 4
2 4 0
4 2 1
2 4 2
4 1 4
4 3 3
0 1 3
0 1 2
10 9
0 0 2
0 2 2
0 0 1
1 3 0
2 1 2
4 1 4
3 3 0
0 4 4
4 4 3
0 3 3
10 2
2 1 3
2 0 0
0 1 0
0 0 0
1 3 1
0 2 1
1 1 3
1 0 1
2 3 2
2 2 1
10 5
1 1 0
1 1 2
0 1 1
2 0 2
0 0 0
1 0 2
2 1 1
2 1 2
1 2 2
1 2 1
10 2
0 3 4
3 5 5
1 4 3
0 0 1
5 5 1
3 0 0
3 0 2
0 4 3
0 4 0
3 2 5
10 3
2 2 5
4 1 0
3 3 3
2 4 0
4 4 3
0 1 1
0 5 2
2 4 5
5 2 0
3 1 2
10 7
3 2 0
1 1 0
2 0 1
1 0 3
0 0 1
1 2 0
3 1 1
1 3 0
0 0 3
3 1 0
10 9
1 1 0
0 2 3
0 2 0
1 3 2
3 0 1
0 1 2
3 2 0
2 1 1
1 3 3
1 0 1
10 8
3 1 1
4 0 1
3 4 3
1 1 4
1 1 1
3 4 2
3 4 1
0 2 2
1 0 0
0 0 4
10 8
1 3 3
2 4 5
1 5 4
2 0 4
3 4 1
1 4 5
5 3 1
4 3 0
4 1 3
5 2 2
10 5
2 1 1
0 0 3
0 0 2
1 0 3
2 0 3
0 3 0
3 1 2
2 0 1
1 3 1
2 3 3
10 8
2 1 0
2 0 1
1 0 1
2 0 2
1 0 2
1 1 2
0 1 0
0 2 0
0 0 0
2 1 1
10 6
2 2 1
1 2 2
2 1 0
0 1 1
0 0 0
2 2 0
1 0 2
0 1 2
1 0 0
2 0 1
10 8
1 0 4
2 5 1
3 5 0
5 4 2
4 5 5
3 0 0
5 1 2
0 5 1
0 3 5
3 5 1
10 5
2 0 2
0 2 2
1 1 0
0 1 2
2 0 1
1 1 2
0 1 1
1 2 1
2 1 0
2 2 1
10 4
4 2 0
2 0 1
1 3 5
5 0 5
5 1 5
5 0 3
1 5 4
5 4 3
5 5 5
4 4 4
10 5
0 1 0
1 2 1
0 2 0
0 1 1
0 1 2
3 3 1
1 2 0
1 0 3
2 3 3
2 2 2
10 9
0 0 3
2 1 2
1 1 0
2 3 4
3 4 0
2 0 1
0 0 2
0 0 0
3 3 4
3 1 0
10 8
0 0 0
2 1 0
2 2 0
0 2 1
0 1 2
1 0 2
2 1 1
0 2 2
0 0 1
2 2 1
10 8
0 2 2
2 2 1
1 1 1
1 0 2
0 1 1
0 1 2
2 1 1
2 1 2
0 2 1
2 0 2
10 3
4 0 4
1 1 1
1 2 4
2 4 3
2 3 0
3 0 0
4 2 1
2 1 4
1 1 0
4 3 3
10 6
3 4 1
2 3 4
1 0 4
3 3 0
2 0 1
3 1 0
0 0 0
2 1 1
4 0 4
0 1 2
10 6
0 2 1
0 1 1
1 1 1
0 1 0
1 0 2
2 0 1
2 0 2
2 0 0
1 0 0
2 1 0
10 7
0 2 5
4 3 2
4 5 3
2 5 1
1 2 2
5 2 4
3 0 5
1 4 0
5 0 2
1 4 4
10 5
2 2 0
1 0 1
2 1 1
2 0 1
0 2 0
0 0 0
0 1 1
2 1 0
1 1 2
1 2 2
10 6
3 2 0
3 4 2
3 1 4
1 0 4
2 2 0
3 1 1
1 1 0
0 4 0
1 2 3
1 4 1
10 2
1 1 4
3 3 0
4 1 1
3 3 5
1 2 3
5 1 4
5 3 1
4 2 2
0 3 0
2 2 4
10 2
1 2 1
2 0 2
2 0 1
1 1 2
1 0 2
0 0 0
0 2 2
2 1 2
2 1 1
0 0 1
10 3
2 4 0
0 0 1
1 1 4
3 0 1
1 2 1
4 0 1
4 2 0
4 3 1
0 2 2
2 3 4
10 8
2 3 0
0 1 3
2 0 1
2 2 3
0 3 2
1 2 0
1 3 1
3 1 0
0 2 0
3 0 2
10 7
2 3 2
0 3 3
3 3 2
1 1 1
3 3 1
2 0 2
3 2 1
0 2 2
1 1 3
1 3 3
10 7
2 1 0
1 1 1
2 0 0
0 1 1
1 1 0
0 1 2
2 0 2
1 2 0
0 0 2
1 0 0
10 8
0 4 1
5 3 3
3 3 4
1 0 2
1 4 1
3 1 5
4 4 0
4 3 5
1 4 2
3 2 4
10 9
1 1 1
0 2 0
0 2 2
1 0 1
2 1 0
0 2 1
2 0 2
1 2 1
1 0 0
1 1 2
10 6
0 1 0
2 1 2
1 2 1
1 1 2
0 1 1
2 2 1
1 2 0
2 0 1
0 0 0
0 2 2
10 3
2 0 3
1 1 2
0 3 3
0 3 1
3 2 2
0 2 3
3 3 1
0 3 0
3 3 3
1 2 1
10 2
2 2 1
2 2 2
1 0 0
2 0 2
1 2 1
0 2 0
0 0 1
2 2 0
0 0 0
2 1 2
10 2
3 3 3
3 1 1
2 0 0
0 0 0
2 0 3
1 0 1
0 2 3
3 2 2
2 1 0
2 0 2
10 2
1 4 1
1 0 1
2 0 1
4 5 4
2 5 1
0 2 0
5 1 2
1 2 3
2 4 1
3 0 2
10 6
2 0 1
2 0 2
1 0 1
0 0 1
2 2 1
0 1 0
2 2 0
0 1 2
2 1 0
0 0 0
10 7
2 1 2
0 1 2
0 1 1
1 1 1
2 0 0
1 0 2
1 1 0
1 0 1
0 0 0
1 0 0
10 5
3 5 0
4 2 4
2 1 4
1 3 5
4 0 2
5 2 1
1 2 0
2 5 1
1 5 1
0 0 2
10 8
2 3 2
2 1 3
0 2 3
2 0 0
2 1 0
3 4 0
0 4 3
1 4 2
4 1 3
1 3 2
10 3
2 0 3
1 4 3
4 1 4
0 4 1
3 0 0
3 3 4
4 0 4
4 3 1
3 3 2
0 4 0
10 2
5 5 2
0 4 3
3 4 4
0 5 2
5 4 5
3 3 0
2 3 0
5 0 4
2 1 2
2 0 5
10 5
2 0 3
2 2 2
0 1 0
2 1 0
2 0 2
0 2 2
3 0 1
2 1 3
1 2 0
1 2 1
10 7
1 5 0
2 4 4
0 2 1
4 5 5
3 0 3
4 0 4
1 4 2
4 0 2
5 3 4
0 2 4
10 5
1 2 0
2 1 1
0 2 3
3 1 3
3 3 0
2 3 3
2 3 0
3 0 3
2 2 3
3 3 1
10 7
3 0 4
4 1 0
1 2 3
1 3 4
1 4 4
1 2 0
0 1 1
2 3 2
1 4 2
0 4 3
10 6
3 2 0
2 2 3
1 2 0
3 3 1
2 3 1
1 0 2
0 0 0
1 0 1
2 1 0
1 3 2
10 4
2 0 0
0 2 1
2 2 2
2 1 0
1 1 2
1 0 2
2 1 2
0 1 1
0 0 1
0 2 0
10 5
3 0 3
3 1 0
1 0 3
0 1 1
3 3 0
2 2 0
2 3 0
3 2 1
0 3 3
3 2 2
10 8
2 2 2
1 0 2
2 0 0
0 0 2
0 1 1
0 1 0
2 2 0
2 1 0
0 1 2
0 2 2
10 4
3 1 2
3 2 2
2 0 3
0 2 1
0 3 2
1 1 3
0 2 3
3 3 1
0 2 0
1 1 0
10 9
3 3 2
2 1 3
2 0 2
1 3 2
4 3 0
4 0 3
3 1 4
2 4 0
1 1 4
4 1 0
10 6
1 1 4
1 1 2
4 2 3
1 0 4
1 2 3
0 2 1
3 0 2
1 1 1
2 0 4
3 4 0
10 4
1 0 2
1 0 0
3 3 1
1 3 3
1 3 0
0 1 0
1 0 3
0 1 2
3 1 3
2 3 1
10 8
1 0 5
5 2 3
0 4 0
5 4 5
1 5 4
4 4 4
3 4 5
0 1 3
2 5 5
0 2 4
10 2
1 1 2
0 2 1
2 0 0
1 2 2
0 0 1
0 2 2
0 1 1
2 1 0
2 0 2
2 1 1
10 8
1 1 2
0 1 1
1 2 0
0 0 0
2 0 1
0 1 0
2 2 2
1 2 1
1 0 2
2 1 1
10 6
3 1 3
1 0 0
1 3 3
3 3 1
3 3 3
0 3 1
0 1 1
1 2 3
2 1 2
3 3 2
10 5
1 1 2
1 0 2
0 2 0
2 1 1
1 0 1
2 1 0
0 2 2
1 1 1
2 0 2
2 2 2
10 8
2 2 2
1 1 2
1 0 2
0 0 2
2 2 0
1 2 1
1 0 0
1 1 1
0 0 0
2 0 2
10 2
3 3 2
2 3 2
0 4 2
2 0 0
4 3 3
2 3 1
4 4 4
4 0 0
4 0 2
4 0 1
10 8
3 0 0
0 1 3
2 2 1
0 0 3
3 0 3
1 1 3
0 2 0
0 2 3
1 3 1
1 0 3
10 6
1 2 1
1 1 1
0 2 1
1 1 2
2 2 1
0 1 1
0 1 2
1 2 2
1 1 0
2 1 2
10 9
4 4 1
2 1 1
0 1 0
0 3 0
2 2 3
4 0 3
3 2 0
2 3 2
0 0 2
4 4 0
10 5
1 1 5
5 2 4
0 3 2
0 0 0
3 2 5
4 2 3
2 3 5
4 4 2
2 1 3
0 2 1
10 6
4 4 0
5 2 3
1 1 1
1 4 0
0 4 2
3 0 2
1 4 3
3 2 3
0 3 3
1 3 4
10 9
0 1 0
5 5 5
5 4 4
1 3 3
1 5 1
0 1 3
2 1 2
1 2 5
1 4 5
0 4 4
10 7
1 2 1
0 1 0
1 1 1
0 2 2
0 0 2
1 1 2
2 0 1
1 0 1
0 1 1
2 1 2
10 6
1 2 3
1 3 0
0 0 3
0 3 2
0 1 0
2 0 2
0 0 1
3 3 3
2 1 3
2 3 1
10 7
3 3 4
1 4 1
0 4 0
2 2 1
4 2 1
2 0 1
3 0 1
4 1 0
1 2 2
1 3 0
10 8
1 3 0
3 3 2
2 2 0
2 4 1
1 0 2
0 2 3
1 1 3
4 1 3
0 0 1
1 1 2
10 9
3 3 2
2 2 1
0 1 2
3 0 0
3 3 1
0 3 3
3 2 3
1 2 1
3 1 1
2 0 0
10 6
5 2 1
0 3 2
5 3 5
3 2 2
1 2 1
1 1 5
2 1 4
4 5 2
5 5 1
0 4 5
10 2
0 1 0
2 1 0
1 2 1
0 1 2
0 0 1
1 2 2
0 0 2
2 2 2
1 1 1
2 1 2
10 3
1 5 0
2 1 0
0 3 0
4 5 1
2 4 4
3 2 5
5 0 4
2 5 2
2 4 0
2 3 0
10 5
0 0 2
3 1 1
3 2 0
2 2 2
3 1 2
0 1 0
1 0 3
1 0 0
0 3 2
1 0 2
10 4
1 2 2
0 1 0
0 2 1
1 0 0
2 1 1
0 1 2
0 1 1
2 0 1
2 0 0
2 1 2
10 8
3 0 3
2 2 0
2 2 4
3 3 1
1 2 1
4 3 1
0 2 0
2 3 0
1 1 2
4 2 3
10 6
0 2 1
1 0 1
1 2 1
2 2 2
0 1 2
1 0 0
2 0 0
1 1 2
2 1 2
2 2 0
10 5
0 4 0
2 1 1
3 2 3
2 5 4
1 0 2
1 4 5
3 2 1
2 5 2
1 3 2
0 1 5
10 7
4 4 1
3 1 3
3 0 2
3 1 4
2 4 0
2 1 4
2 2 0
1 1 4
0 2 2
0 4 2
10 2
2 1 5
0 0 0
3 4 2
1 3 1
3 2 1
3 4 4
3 2 3
3 0 4
2 0 5
4 2 5
10 7
1 0 0
1 0 2
2 0 1
2 2 0
0 0 1
2 1 0
1 2 1
0 2 0
0 1 1
1 2 2
10 4
2 1 2
0 1 1
2 2 0
0 2 2
0 1 2
2 1 1
0 0 0
0 2 0
1 1 1
2 0 0
10 2
1 2 1
3 3 2
0 0 1
2 3 3
1 0 2
2 2 0
1 0 0
2 0 2
2 1 1
1 1 0
10 2
4 2 0
1 3 4
2 0 5
2 3 2
1 3 3
4 0 5
5 0 1
4 0 0
1 1 4
2 5 0
10 6
1 2 2
1 0 1
2 1 2
0 2 1
2 0 2
1 2 0
0 1 1
1 1 1
2 2 2
0 2 0
10 7
2 1 1
4 1 1
2 1 2
3 0 4
5 0 2
0 1 1
5 1 2
5 2 5
3 1 3
1 4 2
10 4
3 1 3
3 4 4
0 2 4
4 4 1
0 4 1
1 4 0
3 3 4
4 4 2
3 1 0
3 4 0
10 5
0 2 0
2 1 1
2 0 2
2 2 0
2 0 0
0 1 2
1 2 0
0 2 1
1 1 0
2 0 1
10 3
3 1 3
3 2 0
2 3 0
2 0 3
2 2 1
0 3 0
0 2 1
3 3 3
0 0 3
1 0 0
10 3
2 2 2
1 2 1
1 1 0
2 1 0
0 2 0
0 1 2
2 1 1
0 0 0
1 2 0
1 2 2
10 2
2 3 2
3 2 0
2 0 0
3 1 3
2 2 4
0 3 4
1 2 4
3 3 1
2 1 1
1 0 0
10 4
0 2 2
0 3 0
1 0 0
0 2 0
0 0 0
0 2 3
1 3 2
2 1 3
2 3 2
3 3 1
10 5
3 3 2
0 3 3
3 1 3
0 3 0
1 1 0
2 0 2
0 2 0
0 0 2
3 3 1
1 3 0
10 6
0 0 2
0 2 1
1 1 0
2 1 1
1 2 1
0 1 1
0 2 2
1 2 0
1 0 2
2 1 2
10 2
2 2 1
5 1 2
5 1 4
1 3 3
3 5 4
1 5 4
3 0 3
4 0 4
4 3 2
4 2 0
10 6
3 0 0
2 3 4
1 2 4
1 2 2
2 4 0
2 3 2
4 4 4
3 4 3
4 1 4
4 3 3
10 2
3 1 0
3 2 2
2 1 3
1 1 3
1 0 0
3 0 1
3 1 2
0 0 0
0 1 1
1 0 2
10 4
0 2 1
2 2 2
1 1 2
2 2 0
0 1 1
1 2 0
2 1 2
0 1 2
1 1 1
0 2 0
10 5
4 2 0
4 4 3
2 2 1
1 2 2
0 4 2
1 2 3
3 0 2
3 4 0
1 3 1
1 0 0
10 4
0 2 1
2 1 1
0 2 2
1 1 0
0 1 2
1 0 1
1 1 2
0 2 0
0 1 1
2 2 2
10 9
0 0 3
4 4 0
4 2 3
0 1 3
4 1 4
3 1 0
1 2 0
1 0 1
1 1 1
2 2 4
10 5
3 0 3
1 0 3
2 3 2
1 1 3
0 3 0
3 1 2
3 1 1
0 3 1
1 1 1
2 0 0
10 8
3 1 0
3 3 4
4 0 3
2 2 1
4 0 2
2 1 1
2 1 2
2 0 1
4 4 2
1 2 3
10 3
0 1 1
0 0 3
1 1 0
3 1 2
0 3 3
1 2 3
2 0 3
0 3 0
1 3 3
2 1 3
10 8
0 1 2
2 3 0
0 3 2
3 3 0
2 0 2
1 0 1
0 1 0
2 1 3
3 3 1
1 2 1
10 7
2 1 0
3 0 0
3 1 0
2 2 2
1 3 3
1 1 0
0 3 1
2 2 3
0 1 3
1 1 2
10 2
3 2 0
3 3 3
1 1 3
0 1 1
1 2 2
2 3 2
0 0 2
2 1 0
1 2 1
2 2 2
10 6
0 2 1
1 0 1
2 0 1
0 1 2
0 1 0
0 0 0
2 1 2
2 1 1
1 1 2
2 2 2
10 8
3 1 0
0 2 3
0 1 3
3 3 2
0 0 3
2 3 0
1 2 3
1 0 1
0 1 0
2 0 2
10 2
0 0 0
0 2 3
1 1 0
4 1 1
1 0 2
3 2 3
3 4 0
0 3 0
3 4 3
4 3 2
10 3
0 2 4
4 0 0
4 2 1
3 2 1
2 1 3
1 3 3
3 3 0
3 4 1
0 3 2
1 2 0
10 6
0 3 0
3 1 2
0 1 0
2 3 3
0 2 2
2 1 1
0 1 3
3 1 3
1 3 1
3 0 2
10 5
3 3 1
3 0 2
3 4 1
3 0 4
4 3 1
3 1 4
2 4 2
0 1 2
1 3 3
3 4 4
10 3
0 1 1
0 2 1
0 2 2
1 2 0
1 0 2
2 2 0
0 0 1
0 0 2
2 0 0
2 2 2
10 9
0 3 2
3 2 2
2 2 1
2 3 0
3 3 3
1 1 3
2 1 0
2 3 1
2 0 0
1 3 2
10 4
2 1 1
4 4 3
0 3 2
1 3 0
3 3 3
1 2 2
3 1 2
1 0 3
0 3 0
2 3 0
10 2
3 1 0
0 4 1
3 1 1
0 3 4
0 4 3
2 0 4
1 2 0
0 1 1
2 3 1
1 0 4
10 4
5 5 2
1 2 0
1 1 1
5 4 1
4 3 3
3 2 4
3 4 0
1 0 3
1 5 0
4 2 4
10 2
3 0 1
1 2 2
1 3 0
0 3 1
3 1 2
2 0 1
3 2 3
2 1 2
2 1 3
3 1 1
10 8
1 2 0
4 3 0
3 3 2
1 2 2
4 3 2
3 4 4
3 1 2
3 0 0
4 1 2
2 4 3
10 8
2 2 2
0 0 1
1 2 1
2 0 0
1 0 0
0 1 1
1 2 0
1 1 2
0 2 1
1 1 1
10 5
3 1 3
0 3 1
0 0 1
2 1 2
3 0 0
0 1 3
2 0 2
2 0 1
3 1 2
1 3 2
10 8
3 4 2
3 1 4
2 2 1
4 1 1
4 3 4
2 1 4
3 2 5
2 0 0
1 0 1
2 0 1
10 4
4 3 3
0 4 2
0 2 2
2 4 4
3 2 2
2 3 2
3 4 1
2 2 4
2 1 0
4 4 0
10 6
4 2 3
5 1 5
3 3 2
2 4 0
5 0 1
3 4 0
3 1 5
2 5 5
3 2 4
1 5 3
10 2
0 1 1
2 2 2
0 0 0
1 2 3
3 2 3
2 3 1
0 3 2
1 0 0
1 0 2
2 1 3
10 9
5 2 1
3 5 4
0 3 1
2 3 5
1 5 5
5 2 3
1 1 0
0 3 3
1 0 4
0 5 0
10 6
0 2 2
4 1 4
0 3 1
3 0 1
1 3 4
2 3 0
3 0 3
1 4 2
3 3 3
3 1 1
10 7
2 1 0
2 0 0
0 2 2
1 2 1
0 0 0
1 1 0
2 0 1
0 1 2
2 1 1
1 0 1
10 5
0 3 1
3 1 2
2 1 2
0 2 0
2 1 1
0 3 0
3 2 2
2 0 2
0 0 2
1 3 2
10 8
0 1 3
1 0 3
3 0 3
2 1 0
2 1 3
0 2 3
2 3 2
2 0 0
3 2 0
2 1 2
10 4
3 3 0
1 0 2
0 2 2
2 1 0
1 1 2
1 1 3
1 2 1
2 3 2
2 0 0
1 1 1
10 8
0 1 2
1 3 3
0 2 0
0 1 0
2 0 1
3 1 1
0 2 2
2 3 2
2 1 2
3 1 0
10 9
5 3 3
3 3 0
0 3 1
3 0 1
3 5 2
1 3 3
4 2 2
4 1 0
2 4 3
4 5 4
10 9
1 0 0
2 1 0
1 1 2
2 2 2
1 1 0
1 0 1
2 2 0
1 1 1
0 1 2
0 2 2
10 9
1 0 1
0 1 2
0 2 1
2 0 0
1 2 0
2 1 1
2 1 0
2 0 1
0 0 2
0 0 1
10 7
2 3 0
2 0 0
1 0 4
2 4 2
1 0 0
0 3 3
3 2 0
0 4 1
2 0 3
3 1 2
10 7
2 1 2
2 1 0
2 0 0
0 2 1
0 1 1
2 1 1
1 2 1
2 2 0
0 2 2
2 0 1
10 4
3 3 0
1 3 5
2 5 5
1 5 3
0 3 1
4 1 0
3 0 5
4 3 5
3 2 4
2 1 4
10 2
2 1 4
3 3 2
4 1 1
4 2 0
0 3 0
1 1 4
4 3 0
0 3 3
0 3 4
2 0 0
10 2
2 1 1
4 2 0
1 4 1
2 3 2
0 3 1
0 1 2
2 3 1
1 3 4
1 2 2
2 0 3
10 3
1 1 0
0 0 2
1 0 2
0 1 2
1 1 2
0 2 0
1 0 0
1 0 1
0 2 2
0 1 0
10 5
3 3 2
2 1 1
3 1 3
1 2 0
1 0 0
2 0 3
3 2 2
1 1 2
3 2 0
2 2 1
10 3
1 1 0
2 1 0
2 2 1
0 2 0
0 1 0
2 1 1
2 0 2
2 2 2
1 1 2
2 1 2
10 8
3 0 2
3 0 0
3 1 1
2 1 2
2 1 1
1 0 2
3 3 2
1 1 1
1 1 2
0 1 3
10 6
0 1 2
3 3 0
2 0 0
2 1 3
0 0 1
3 1 1
0 3 2
2 3 2
0 2 2
1 1 2
10 2
2 5 1
3 0 5
4 5 4
4 0 4
4 0 2
5 4 3
2 5 4
3 3 5
4 1 1
4 4 4
10 7
0 1 0
0 2 5
2 4 5
4 0 5
2 3 3
1 5 0
1 1 4
0 3 1
1 0 1
4 3 4
10 2
1 2 0
0 2 2
0 0 2
0 1 2
1 0 0
1 2 1
2 2 2
2 1 2
0 2 1
2 0 0
10 4
3 0 4
2 2 3
4 2 4
2 3 4
0 2 0
3 2 3
0 1 0
1 3 4
4 3 0
1 2 4
10 2
3 0 1
1 0 2
2 0 3
2 3 3
0 1 2
2 1 0
2 1 3
2 3 0
2 3 1
1 1 0
10 5
0 1 1
1 2 0
2 2 0
2 2 2
2 1 1
1 1 0
1 2 2
2 0 2
1 0 2
1 1 2
10 2
0 2 0
2 2 2
0 1 2
0 0 0
2 0 0
0 1 1
2 2 0
2 1 0
1 2 1
1 0 1
10 7
0 3 2
4 4 4
4 4 2
3 1 3
0 2 1
4 0 3
3 2 1
2 1 4
1 0 2
4 2 1
10 3
0 0 3
1 3 0
2 2 1
3 3 2
2 0 3
3 1 0
2 3 3
1 3 1
2 1 0
0 3 0
10 7
0 0 1
1 1 1
0 1 2
0 2 2
2 2 0
0 0 2
2 1 1
2 0 2
1 0 2
1 2 2
10 4
1 0 1
1 1 0
1 2 2
1 1 2
1 1 1
0 0 2
2 0 2
2 1 0
1 2 0
0 2 2
10 7
3 1 1
0 1 3
3 1 0
1 3 3
1 2 2
3 2 2
0 1 1
0 3 1
0 1 0
2 3 3
10 4
2 1 0
0 2 2
0 1 0
1 2 2
2 0 0
0 1 1
0 2 1
0 1 2
1 0 2
1 0 1
10 2
0 2 0
3 2 1
2 0 2
2 2 0
1 0 0
2 2 3
4 4 4
1 4 4
2 0 4
3 3 2
10 8
2 0 1
0 0 0
3 2 4
2 0 2
2 5 2
0 1 2
4 2 1
5 3 5
2 0 0
0 5 5
10 9
3 2 0
1 3 0
3 3 3
3 2 2
3 0 1
1 3 3
0 0 2
1 0 3
2 0 3
2 0 0
10 8
2 0 1
1 1 0
2 2 1
1 0 2
1 1 2
2 2 2
0 0 2
1 2 0
0 1 2
0 2 0
10 2
3 2 2
1 2 1
4 0 3
3 3 3
3 4 2
1 2 4
4 3 3
1 0 0
0 4 2
0 4 4
10 9
0 0 1
2 1 1
2 0 0
1 1 2
1 1 1
2 2 1
1 2 2
0 0 0
2 0 1
0 1 1
10 6
2 1 0
0 2 0
1 3 3
3 0 1
3 2 1
0 3 0
2 3 1
2 3 2
0 1 1
0 2 1
10 2
0 5 4
3 0 3
1 0 4
5 3 4
5 1 2
3 1 4
5 0 0
0 1 4
2 3 5
2 1 1
10 5
0 0 2
0 1 0
0 2 0
1 0 2
1 2 1
2 1 0
0 1 2
0 2 1
1 1 0
1 1 1
10 6
0 2 4
2 3 2
1 3 2
4 0 4
0 4 0
4 1 2
4 1 3
1 0 3
4 3 0
1 4 4
10 4
1 0 0
1 2 1
0 2 2
2 0 2
1 0 2
0 0 2
1 1 2
0 0 0
1 2 0
2 0 1
10 7
1 3 3
1 2 2
0 2 2
1 0 0
3 0 2
3 3 0
1 0 2
3 0 1
1 0 1
2 2 0
10 3
0 1 0
3 3 1
1 2 1
0 1 3
1 1 0
3 2 0
0 1 1
1 2 0
2 1 2
2 3 3
10 3
3 4 4
0 1 4
0 4 2
2 4 3
2 3 4
3 3 3
4 2 4
4 3 0
1 0 3
3 2 2
10 8
2 2 0
0 0 0
3 1 0
3 3 0
0 3 3
0 2 0
1 1 3
0 2 2
3 1 3
1 0 2
10 7
2 2 2
1 0 0
0 2 2
1 2 2
1 0 1
2 0 0
1 2 1
2 2 0
2 1 2
0 0 1
10 9
1 0 1
2 2 2
1 1 0
0 0 0
1 1 2
1 0 2
2 2 0
0 1 0
1 2 0
1 2 2
10 7
2 2 2
1 0 1
0 1 2
0 2 2
2 1 2
1 0 2
0 0 0
2 2 1
0 2 1
0 1 1
10 4
0 2 2
2 0 2
1 2 0
2 0 1
0 0 0
0 0 2
1 1 0
2 1 1
2 2 1
0 1 2
10 9
3 2 0
0 2 2
0 2 1
2 1 0
1 1 1
3 3 1
3 0 1
1 0 1
3 2 3
0 1 1
10 4
4 3 2
1 1 0
1 2 4
0 1 0
2 2 3
3 4 2
3 3 1
4 4 2
2 1 3
0 2 4
10 2
2 0 2
1 2 0
1 1 2
2 2 0
2 0 0
0 1 1
0 2 0
0 0 1
1 2 1
0 0 2
10 6
4 4 2
2 0 0
3 1 2
4 0 3
4 3 3
0 2 4
4 1 0
4 0 0
3 4 1
3 4 4
10 5
0 2 0
4 2 4
3 2 1
0 2 2
2 0 3
4 3 0
2 2 2
0 0 0
1 4 1
2 4 1
10 6
2 3 3
1 0 1
3 4 1
3 1 5
2 2 1
0 2 4
2 5 3
5 3 1
0 3 0
1 2 0
10 5
1 3 3
3 3 2
2 3 0
2 2 2
4 0 4
3 0 1
1 4 4
2 2 0
1 4 1
0 2 1
10 2
3 0 2
3 2 0
2 2 4
5 2 1
0 2 2
5 2 3
3 5 2
5 3 3
3 3 2
3 4 5
10 2
3 3 3
3 0 1
2 1 2
0 2 2
3 2 1
2 1 0
1 1 2
0 3 1
1 3 2
2 1 3
10 5
2 0 0
1 0 1
1 1 0
2 2 2
1 2 1
2 1 1
1 0 0
0 2 2
0 1 1
0 2 0
10 3
1 2 2
1 2 0
2 3 2
0 2 0
1 1 3
0 1 3
2 2 3
1 0 1
0 3 0
0 1 2
10 8
1 3 2
2 1 1
0 3 2
2 2 0
2 1 0
3 3 3
0 3 3
1 0 2
3 3 2
0 1 0
10 2
1 1 2
2 0 0
2 1 1
2 2 0
2 0 2
0 2 1
0 0 0
1 0 2
1 2 2
1 1 1
10 5
2 2 2
0 2 0
2 1 2
2 0 1
1 2 0
1 1 2
0 2 2
0 0 0
1 0 0
0 0 1
10 6
2 3 1
0 3 3
2 3 3
0 0 2
1 2 2
3 1 3
3 2 2
1 2 0
0 1 0
2 2 3
10 7
1 3 0
3 0 1
3 3 2
2 3 1
3 2 2
3 1 3
0 0 3
0 2 1
1 3 3
1 0 1
10 9
0 1 0
5 0 1
0 1 3
5 2 5
5 4 4
3 5 4
1 2 0
4 5 3
4 2 2
1 0 2
10 3
0 3 2
0 3 0
3 2 1
0 0 1
2 2 0
1 3 3
3 2 0
3 0 0
0 0 3
1 3 0
10 7
2 2 3
2 2 1
2 2 2
1 4 4
3 1 4
3 1 5
5 2 1
3 2 2
1 2 5
0 2 3
10 8
1 1 1
3 1 3
2 2 2
2 0 1
0 3 2
3 3 2
3 2 2
2 0 3
3 0 0
1 1 3
10 5
0 3 2
3 2 0
2 0 2
2 0 3
3 1 0
0 2 3
1 1 0
2 3 0
0 3 3
0 3 0
10 4
1 1 0
3 3 1
1 3 1
3 2 3
1 0 3
0 3 0
3 1 2
1 1 1
0 1 1
0 1 0
10 8
0 3 1
3 0 0
1 0 0
3 3 2
3 1 1
0 1 0
0 1 1
2 0 0
0 3 0
2 1 0
10 2
2 0 3
0 2 0
1 2 2
1 1 3
0 1 2
3 3 3
1 3 2
2 3 3
0 2 1
1 2 0
10 5
2 0 0
0 3 1
5 3 2
1 3 4
5 3 0
1 1 5
2 1 1
0 2 5
1 2 1
2 0 4
10 4
2 1 3
1 2 3
1 1 3
2 0 0
2 2 0
1 3 1
0 3 3
2 0 3
2 0 1
3 0 0
10 4
1 2 1
1 2 2
2 2 2
1 1 1
2 2 0
0 2 1
2 2 1
1 0 1
0 2 0
0 0 1
10 8
3 1 3
3 2 0
2 3 1
0 1 0
2 1 3
2 2 3
0 2 0
0 1 1
2 3 3
1 1 3
10 6
1 3 2
5 4 2
4 4 5
0 3 1
3 3 0
0 4 3
0 2 3
0 4 2
5 2 2
5 5 4
10 7
3 2 2
2 2 1
3 1 1
0 2 0
2 3 1
3 1 2
2 0 1
2 3 0
2 0 0
2 1 1
10 2
0 0 4
2 2 3
1 4 3
4 2 4
3 0 1
0 1 1
2 1 3
1 2 4
3 4 3
3 4 2
10 7
1 4 3
1 4 4
3 3 3
1 2 3
0 0 3
0 0 2
1 0 4
0 2 4
3 3 0
3 3 4
10 6
4 1 4
2 1 3
1 0 0
3 0 1
1 2 1
2 0 4
1 2 0
0 4 0
0 3 2
2 2 3
10 2
1 0 0
2 2 2
0 0 2
1 1 0
0 3 3
2 3 1
3 1 3
0 1 2
1 2 2
2 2 0
10 5
0 1 0
4 0 3
1 2 4
3 4 0
1 0 1
0 4 4
3 0 3
2 2 3
2 0 2
2 0 0
10 7
5 1 2
5 2 0
4 4 5
3 2 0
4 3 5
0 2 4
4 0 3
1 4 4
3 5 2
4 0 0
10 3
1 1 3
2 0 1
2 3 3
0 2 3
3 0 0
0 2 1
0 0 1
0 0 2
2 2 0
1 0 1
10 7
2 2 3
2 2 1
2 2 2
3 2 0
3 3 1
2 1 2
1 2 3
3 1 0
0 2 3
0 1 3
10 7
1 3 3
3 2 1
1 0 3
2 3 2
1 1 2
2 3 3
2 2 0
0 2 2
0 1 0
2 0 3
10 4
0 0 2
2 0 2
0 1 0
2 0 1
2 1 0
2 2 1
1 2 2
1 0 2
1 2 0
1 0 1
10 9
1 3 3
4 1 2
0 2 2
1 2 1
0 1 0
0 0 0
2 3 3
1 4 4
0 1 3
0 4 3
10 4
2 0 0
2 0 2
1 1 1
2 1 0
1 0 0
0 0 1
0 0 2
1 0 2
2 0 1
2 1 1
10 9
1 1 0
0 2 1
0 1 2
0 0 0
0 1 0
0 2 0
1 0 0
1 0 1
2 1 2
0 1 1
10 6
1 2 3
4 4 4
1 0 3
3 2 4
5 3 3
1 5 0
4 5 0
0 2 2
0 2 0
3 3 5
10 3
0 0 3
1 3 0
0 1 0
2 2 1
3 1 2
2 0 2
0 3 3
0 1 3
2 0 3
2 0 1
10 3
2 0 4
1 2 3
1 1 4
4 4 4
3 4 3
2 3 2
3 2 2
2 4 0
4 3 1
3 4 1
10 4
0 1 1
0 2 2
0 0 2
0 1 2
1 0 0
1 2 2
1 2 0
1 1 1
1 1 0
2 0 0
10 8
2 3 0
0 0 1
2 2 2
2 1 2
0 2 1
0 1 3
1 1 2
3 0 3
2 3 3
1 2 3
10 7
4 2 2
3 3 4
4 1 0
5 1 3
3 1 5
1 2 3
4 3 2
5 3 3
3 2 1
2 3 4
10 9
1 5 1
5 1 0
0 3 3
2 5 2
1 1 3
4 4 4
4 0 3
0 3 0
0 3 5
2 3 0
10 2
1 0 2
0 0 1
0 2 2
0 1 0
0 1 1
0 1 2
2 1 0
2 0 1
1 0 0
2 1 1
10 2
1 0 3
1 1 3
0 2 0
0 0 1
2 2 2
2 3 3
0 1 2
3 1 3
3 0 2
0 2 2
10 4
5 3 0
2 1 5
4 5 2
4 4 4
3 1 1
2 5 3
2 0 3
4 2 1
4 3 5
0 1 2
10 8
0 2 2
1 4 2
5 1 1
1 3 1
0 2 5
1 2 0
3 0 1
4 3 4
3 2 5
2 0 5
10 3
2 2 0
1 0 2
1 0 1
0 0 1
0 1 2
0 1 1
2 0 1
1 1 1
2 1 0
2 1 2
10 7
5 4 4
1 0 1
0 4 4
2 3 0
0 2 0
0 2 4
2 2 4
0 5 2
0 2 5
0 3 3
10 7
0 1 0
3 1 1
3 2 4
1 1 4
0 3 0
0 1 3
1 0 0
0 0 3
4 2 3
3 3 3
10 8
0 2 3
0 3 1
2 1 2
2 0 3
2 3 1
0 2 2
2 3 3
3 1 2
0 3 2
1 2 3
10 6
4 2 1
0 2 1
2 4 4
4 0 0
4 3 3
3 4 3
0 5 5
4 2 0
1 3 4
3 5 1
10 8
2 0 4
1 1 2
2 3 4
2 4 2
2 0 2
4 4 0
0 1 4
3 0 2
1 1 4
3 1 2
10 3
0 0 1
1 0 1
1 1 0
0 2 0
0 0 0
2 2 1
2 1 2
1 2 1
2 0 0
1 0 0
10 2
2 1 2
1 3 3
2 3 3
3 2 1
0 3 2
0 3 1
3 2 2
2 0 3
2 2 1
3 2 3
10 6
1 1 4
1 0 3
3 5 5
3 3 1
0 0 3
1 3 2
3 2 0
4 1 1
4 1 2
1 3 4
10 3
0 2 0
2 2 2
2 1 0
0 2 2
2 0 1
1 0 0
1 2 2
2 2 1
2 0 0
2 1 1
10 7
0 2 0
0 1 2
2 2 0
0 0 1
2 0 0
1 0 0
2 1 0
0 0 0
2 1 2
2 0 1
10 2
2 0 0
0 2 3
1 2 2
3 2 0
3 1 1
0 1 1
2 2 1
0 0 2
0 1 3
3 1 0
10 4
1 0 1
2 0 1
0 3 0
0 0 3
1 0 2
3 2 2
1 0 0
3 1 0
2 3 2
2 1 3
10 6
1 0 2
2 1 0
2 0 0
0 1 2
0 2 2
0 1 1
1 1 1
2 1 2
1 2 2
2 2 2
10 4
1 1 0
1 0 2
3 2 3
2 3 1
3 1 1
1 1 2
1 0 3
3 3 2
2 3 0
2 3 2
10 7
3 0 0
2 2 2
2 2 1
3 2 1
2 1 1
3 2 2
0 3 2
1 0 2
0 2 2
2 0 2
10 2
2 1 2
5 0 1
4 0 2
3 2 0
4 2 5
3 1 2
1 2 1
1 0 2
0 4 1
3 2 1
10 4
2 0 1
2 2 3
0 2 1
2 1 2
3 2 2
0 1 3
3 1 2
2 2 1
2 0 3
1 2 1
10 3
0 0 1
1 1 0
2 1 0
1 2 0
1 1 2
0 2 2
0 1 2
1 1 1
1 0 2
1 2 2
10 9
3 1 4
4 2 1
2 1 0
4 4 2
0 3 1
2 4 0
3 3 1
3 4 1
1 1 2
0 0 0
10 3
1 4 1
3 3 3
5 2 1
0 0 0
0 2 0
3 0 4
3 5 1
0 3 2
4 1 2
1 0 3
10 3
2 0 0
1 1 2
2 1 2
0 1 0
1 0 0
0 1 2
1 2 2
1 0 1
2 2 2
2 0 2
10 8
2 1 0
2 0 2
2 1 2
1 2 0
2 0 1
0 1 2
2 0 0
0 0 1
0 2 0
0 0 0
10 6
0 3 1
2 1 3
1 0 0
0 0 1
1 3 2
1 1 1
0 0 0
2 2 1
2 0 0
0 2 0
10 2
0 1 1
2 3 0
0 0 0
3 1 0
0 3 1
2 2 2
3 0 0
3 0 2
1 1 1
2 2 0
10 2
5 1 1
2 5 0
1 5 4
0 5 5
4 3 1
4 2 0
1 2 3
2 4 5
5 4 3
5 0 3
10 9
2 5 4
0 3 2
4 1 4
3 2 5
0 4 2
2 0 1
1 3 0
0 5 0
4 2 1
0 0 1
10 3
2 1 1
2 1 2
0 2 0
0 1 2
1 2 1
1 0 1
2 2 0
0 1 0
2 0 1
1 0 2
10 3
4 3 0
5 2 4
1 2 5
4 3 4
5 0 0
4 4 1
1 1 3
1 0 3
1 1 5
0 1 1
10 2
1 4 2
0 3 0
5 5 2
5 3 1
2 2 0
0 2 0
1 1 5
5 2 5
3 2 0
0 2 2
10 3
2 2 2
0 0 1
2 1 1
2 3 1
3 2 1
0 1 2
2 1 3
3 3 1
2 2 1
3 1 1
10 4
0 1 3
2 0 1
3 1 0
1 3 0
2 2 1
1 1 0
0 1 1
1 3 2
2 1 1
2 2 2
10 7
2 2 0
0 2 0
0 1 0
1 0 2
1 2 2
0 1 2
2 1 0
0 0 1
2 1 1
1 1 2
10 8
3 0 3
0 0 1
2 3 3
0 2 2
0 3 3
1 0 1
0 2 1
2 1 1
2 3 0
1 2 3
10 4
4 2 3
3 1 1
3 3 3
4 3 3
3 3 2
3 2 3
2 1 0
1 0 0
3 4 1
3 2 2
10 2
4 5 4
2 5 2
3 3 3
5 5 3
5 2 0
4 0 2
3 2 0
3 0 4
2 5 5
5 0 1
10 7
3 0 1
1 3 0
1 0 0
0 1 3
1 3 3
3 3 1
2 2 3
2 3 1
3 0 0
0 1 0
10 7
1 0 2
1 0 1
2 1 0
2 1 2
0 0 2
0 1 2
1 2 2
2 0 0
1 1 1
0 0 1
10 4
1 0 3
0 2 0
3 0 3
2 2 1
3 3 3
3 0 0
2 1 0
1 0 2
3 3 1
0 1 0
10 3
2 0 2
4 1 0
3 3 4
3 4 3
1 0 2
3 3 3
4 2 2
1 3 1
3 4 2
4 4 4
10 9
0 0 1
0 2 3
1 3 2
1 2 3
0 0 2
2 2 0
0 2 2
3 1 0
3 1 2
1 3 0
10 9
0 0 2
1 0 0
2 1 1
2 1 0
0 0 1
0 2 2
2 0 2
0 1 1
0 1 0
2 0 1
10 2
0 3 4
0 1 3
3 4 4
2 2 4
2 3 4
1 3 1
2 0 3
2 4 1
2 3 0
4 0 4
10 4
4 1 0
2 4 3
3 2 2
4 1 1
0 0 2
1 1 3
0 3 1
5 3 2
0 2 3
0 5 3
10 7
1 0 0
2 1 2
0 0 0
0 2 2
2 2 0
1 1 0
1 0 2
2 1 1
2 0 2
1 0 1
10 4
0 3 2
3 0 3
3 0 2
0 1 1
1 2 1
1 0 1
1 1 3
2 1 0
1 3 1
2 0 0
10 4
1 3 4
2 2 1
2 3 1
0 3 2
2 1 0
4 0 3
2 4 2
1 1 4
0 0 1
2 0 3
10 7
3 0 3
5 3 1
3 1 2
2 3 0
0 5 3
5 2 5
1 4 1
3 1 0
1 0 5
0 4 2
10 7
0 1 3
2 4 0
3 5 1
0 1 0
5 3 1
0 5 5
1 4 0
1 5 1
1 2 3
3 5 0
10 6
3 2 1
2 3 1
2 2 2
2 3 2
2 2 1
2 1 1
1 0 3
0 2 0
0 0 1
3 3 2
10 2
1 0 2
2 0 2
0 0 2
0 1 1
1 0 0
0 0 1
1 0 1
1 1 1
0 0 0
2 1 0
10 2
1 3 3
3 5 0
1 1 4
2 1 5
1 0 2
2 3 5
0 5 1
3 5 1
3 3 3
0 5 5
10 4
3 3 0
4 5 4
5 3 3
3 0 0
2 3 1
4 5 3
3 2 0
4 0 1
3 0 3
5 5 4
10 5
3 0 2
3 2 5
2 5 2
1 0 1
3 5 5
5 4 4
5 3 5
5 5 4
1 3 3
0 2 4
10 7
4 2 1
2 4 2
5 5 1
1 2 4
1 2 1
2 4 1
4 1 2
1 2 3
5 4 0
1 3 5
10 7
2 2 2
1 1 1
0 0 1
2 2 0
0 2 0
0 1 0
2 2 1
1 1 0
1 2 1
0 0 2
10 5
3 2 3
0 4 3
2 2 1
0 4 0
4 4 1
0 4 4
0 0 2
4 2 4
3 0 4
3 1 1
10 5
5 2 4
2 3 2
5 0 4
0 3 1
2 1 1
5 1 5
3 1 0
1 3 1
4 1 2
1 2 3
10 6
3 2 2
0 1 2
1 0 4
4 2 1
4 2 3
2 3 0
0 4 3
2 1 1
4 2 2
3 1 1
10 5
2 2 3
2 1 0
3 3 0
3 0 0
0 1 0
2 1 2
1 3 3
2 2 0
2 3 2
2 0 1
10 6
2 2 2
2 0 1
2 1 2
0 1 2
1 1 0
1 0 0
1 2 2
2 1 0
1 2 1
1 0 1
10 4
2 1 2
1 1 0
2 2 0
2 0 0
1 1 1
1 0 2
1 1 2
2 2 2
0 2 1
2 0 2
10 7
4 2 5
4 4 5
5 2 4
2 5 0
4 1 3
2 2 1
1 2 0
1 0 4
2 0 5
0 0 1
10 3
0 1 4
1 2 2
1 0 3
4 0 4
2 2 1
1 0 2
1 2 3
0 2 1
0 3 0
2 3 4
10 6
2 0 0
2 2 0
0 0 2
1 0 2
0 0 1
1 1 2
1 2 0
2 2 1
0 1 0
1 1 0
10 7
2 1 3
0 3 1
2 3 0
1 1 1
3 0 1
0 1 0
2 2 2
3 2 2
3 3 0
0 0 2
10 7
0 1 0
1 0 1
2 0 0
1 1 2
0 2 1
2 0 2
0 2 2
2 1 2
2 2 1
2 1 0
10 7
2 3 2
0 1 1
3 2 3
0 3 2
2 3 1
1 3 1
3 1 1
0 2 2
0 1 3
3 3 2
10 3
0 0 2
1 0 1
1 2 2
1 2 1
1 0 0
2 2 0
1 2 0
2 0 0
0 0 0
0 2 0
10 7
2 0 1
2 1 2
0 1 1
1 2 1
1 1 1
2 1 1
1 1 2
1 0 2
1 2 2
2 2 0
10 6
3 2 0
2 0 2
2 2 2
3 1 3
3 2 3
1 1 0
3 0 1
2 2 1
0 2 2
3 1 1
10 9
0 2 2
1 2 1
3 3 2
3 1 3
2 3 2
2 2 1
0 3 0
1 1 3
0 2 1
1 2 3
10 5
3 1 2
3 2 3
0 1 3
2 0 0
1 2 2
2 4 2
0 2 1
3 2 1
4 0 2
3 1 1
10 2
1 0 0
2 0 0
2 1 3
3 3 0
3 1 3
3 2 0
3 2 2
0 0 0
1 1 2
0 3 3
10 3
3 2 2
4 3 5
1 0 2
3 3 5
5 0 3
2 2 4
4 1 2
4 3 3
1 2 5
4 3 1
10 7
5 2 1
3 2 4
5 3 3
3 1 1
3 0 0
2 3 1
3 3 3
2 1 3
2 3 5
3 4 5
10 9
2 1 2
2 2 0
0 1 0
1 0 0
2 2 1
2 0 0
2 0 2
0 0 0
0 2 0
0 1 2
10 3
1 2 1
0 2 4
2 4 0
0 4 3
2 1 4
3 1 4
4 0 0
1 1 2
2 2 3
0 0 2
10 7
1 3 1
0 0 1
3 3 3
3 3 0
3 3 1
3 1 2
1 3 0
0 3 0
1 0 0
3 2 3
10 2
2 0 2
3 0 0
0 3 1
4 2 3
0 1 5
3 0 4
0 5 4
5 3 4
2 5 4
4 5 5
10 7
2 1 0
3 0 0
2 2 3
3 1 0
2 3 1
3 1 3
1 2 2
2 0 0
2 1 2
2 0 3
10 8
4 1 0
2 1 1
3 0 4
2 4 0
4 3 1
1 3 0
1 2 2
2 0 4
3 1 0
3 4 2
10 9
4 0 0
0 4 4
0 0 0
2 4 4
1 0 4
1 4 1
4 0 4
3 2 0
1 1 4
4 3 3
10 3
1 4 4
4 2 3
1 3 1
3 4 2
1 0 4
4 0 4
1 4 1
2 2 1
1 1 1
0 1 1
10 4
1 0 3
3 0 4
3 4 1
2 0 4
1 4 0
0 0 4
2 1 4
2 1 3
2 3 2
2 0 2
10 6
3 4 1
0 0 1
3 4 4
1 3 3
0 3 2
3 1 3
3 3 1
3 0 4
2 4 4
4 1 2
10 9
1 3 0
3 3 3
3 4 0
3 3 4
1 2 3
1 2 0
3 3 0
0 0 1
1 4 4
3 2 3
10 8
2 0 1
1 0 0
2 0 0
0 1 2
0 0 1
1 2 2
1 2 0
2 1 2
2 2 1
1 2 1
10 3
3 3 2
0 1 2
2 0 3
2 3 3
0 2 0
1 1 2
2 1 1
1 1 0
2 2 3
3 1 1
10 4
1 2 0
2 3 3
3 0 1
1 1 3
2 1 1
1 0 3
2 2 0
3 0 3
2 1 2
3 3 2
10 9
1 0 2
1 2 2
0 1 2
2 0 2
0 1 0
0 0 1
0 1 1
2 0 1
2 1 2
1 1 0
10 5
1 1 0
2 1 1
0 1 2
1 1 2
0 0 1
0 2 2
0 0 2
0 1 0
2 2 1
2 0 0
10 7
3 3 2
3 2 1
0 0 2
2 2 2
3 3 3
3 1 1
3 0 1
0 0 1
0 3 2
3 0 3
10 7
0 0 0
1 0 2
3 1 2
0 1 0
0 2 1
1 3 0
3 3 0
3 2 3
1 0 3
2 0 2
10 8
0 2 1
0 1 0
2 1 1
0 2 2
2 2 0
0 2 0
0 1 2
1 0 0
0 1 1
0 0 2
10 5
1 3 1
1 1 2
2 3 0
2 2 3
0 1 2
2 2 0
3 1 2
2 3 3
2 1 2
0 1 0
10 2
1 5 1
2 4 5
4 2 2
0 1 1
3 0 2
3 5 3
2 0 4
2 4 1
5 5 4
0 5 1
10 3
3 0 1
0 4 3
3 4 3
1 4 4
2 1 2
4 0 1
4 2 3
2 3 4
3 2 0
4 2 1
10 3
2 2 2
2 2 1
2 0 1
2 2 0
1 2 1
1 0 2
1 1 0
2 0 0
0 2 1
2 1 1
10 5
3 4 4
3 3 2
3 2 4
1 2 2
2 3 2
2 1 4
4 3 3
4 1 1
4 3 0
1 2 3
10 3
3 3 2
3 0 3
3 2 2
3 2 0
1 3 3
0 3 1
0 1 2
1 2 0
0 0 1
0 1 0
10 2
0 1 2
1 2 3
3 0 3
3 0 0
0 3 0
0 2 2
1 0 0
1 2 2
0 0 2
2 0 1
10 4
1 0 0
0 2 1
2 1 1
2 1 0
1 1 2
2 2 1
2 0 0
1 0 2
0 0 2
0 0 1
10 8
1 1 3
0 0 2
0 1 0
2 0 1
0 3 2
4 3 3
4 1 2
2 1 4
2 3 1
0 2 2
10 4
3 3 4
3 4 2
3 2 4
0 1 0
2 1 1
3 3 2
2 2 0
2 3 3
2 2 1
1 3 1
10 4
2 1 3
1 3 5
1 0 2
2 5 1
0 3 3
5 1 3
3 2 3
3 5 2
0 3 5
4 1 1
10 8
3 5 2
3 5 5
1 3 3
2 3 2
5 0 5
2 3 1
4 5 0
5 1 5
3 2 2
1 4 0
10 6
1 0 2
3 1 2
3 3 0
2 2 0
1 2 2
1 3 2
0 2 2
0 0 3
3 2 3
0 1 2
10 6
1 2 3
3 0 1
1 0 1
0 1 1
0 3 1
1 0 2
3 2 1
1 1 0
0 2 1
0 0 2
10 4
1 0 0
1 1 0
2 2 0
3 0 2
2 0 0
2 1 0
2 1 3
0 2 1
2 0 3
3 3 3
10 9
0 1 2
2 2 1
1 0 1
1 1 0
0 0 0
0 0 2
1 1 2
2 2 0
0 2 1
0 0 1
10 5
2 0 1
1 2 0
2 2 2
1 1 2
0 2 1
1 0 2
1 0 1
2 2 0
0 0 2
0 0 0
10 7
2 4 4
4 3 0
3 1 2
3 3 3
1 2 3
0 2 3
2 1 2
3 0 3
3 2 4
2 0 3
10 7
3 1 3
4 1 3
0 1 0
1 3 1
3 0 3
1 3 4
2 5 1
2 0 4
3 2 1
4 5 2
10 2
4 4 4
3 3 2
0 1 3
2 0 3
0 2 2
0 4 4
2 3 2
0 0 0
4 3 2
3 3 3
10 6
0 2 1
2 2 1
1 0 1
1 1 2
0 1 1
1 0 0
2 0 1
2 0 2
2 2 0
0 2 0
10 4
0 2 2
3 1 3
4 3 1
3 1 4
4 4 1
1 1 2
2 0 4
3 0 4
2 2 0
0 0 4
10 3
1 0 0
1 1 2
0 0 2
1 2 0
1 2 2
0 2 2
0 0 1
0 2 0
1 0 2
1 1 0
10 8
0 2 1
1 0 1
2 0 1
2 2 1
0 0 2
1 0 2
2 2 2
0 2 0
1 0 0
1 2 2
10 3
1 3 3
4 2 1
4 4 0
1 0 3
3 2 2
0 3 2
4 1 3
4 3 3
0 1 2
1 4 3
10 8
0 2 3
1 3 1
0 3 3
1 3 0
0 1 1
1 1 2
2 1 2
1 2 1
0 1 2
3 1 1
10 7
2 3 1
2 3 2
1 2 3
2 1 3
0 3 3
3 1 1
0 0 3
1 1 1
1 3 1
0 1 3
10 4
1 1 1
2 2 1
0 2 2
2 0 2
0 1 2
0 0 1
2 1 2
1 1 2
1 0 2
2 2 2
10 7
3 2 4
1 0 3
1 2 0
3 4 4
2 1 0
1 2 3
4 4 0
0 2 3
2 3 2
1 2 2
10 6
2 1 3
3 1 3
2 1 1
3 0 0
0 0 3
3 1 0
0 1 0
3 1 2
1 0 0
1 1 0
10 6
0 3 4
1 1 4
5 1 3
1 5 4
5 1 5
0 1 5
3 4 5
4 1 1
1 5 1
1 3 3
10 3
0 1 0
1 2 0
1 0 0
1 2 1
2 2 2
0 0 0
2 1 0
1 1 2
1 1 0
0 2 2
10 4
2 2 4
1 2 1
0 4 0
5 0 0
0 5 4
5 5 0
3 2 0
5 5 1
3 3 0
4 5 4
10 3
0 2 0
2 3 5
4 3 1
1 0 0
3 2 3
0 2 1
1 1 5
5 4 1
4 2 4
3 4 0
10 9
0 4 1
2 1 2
4 4 3
3 4 1
2 4 0
3 0 4
3 3 0
2 2 3
1 1 3
4 3 2
10 5
3 2 2
0 3 1
1 1 1
0 0 1
1 0 0
0 2 0
2 1 3
1 3 2
1 0 1
1 2 1
10 4
4 2 3
4 3 3
2 2 0
0 1 2
2 3 0
2 1 1
1 1 1
1 2 4
2 0 2
4 1 0
10 6
1 2 1
1 0 2
2 1 3
1 0 0
3 2 1
0 0 2
3 3 0
2 2 1
0 1 2
3 3 2
10 7
3 2 2
1 0 0
2 3 2
3 2 1
1 0 3
3 3 3
2 3 0
0 0 1
3 3 0
2 2 1
10 6
1 1 0
0 3 2
1 2 3
1 2 0
3 2 1
0 3 0
0 2 0
0 1 3
3 0 2
0 1 2
10 3
3 1 0
4 0 0
1 2 2
4 2 4
0 0 2
1 0 3
2 1 0
2 2 2
0 0 3
3 0 3
10 2
4 0 1
1 1 1
3 3 2
0 0 2
2 3 4
2 0 4
3 2 1
1 2 2
1 4 3
1 3 4
10 7
2 0 2
1 2 1
0 3 1
3 3 1
2 2 1
2 2 2
0 0 0
2 3 1
3 2 1
3 0 2
10 9
2 2 1
3 3 2
0 2 4
0 2 3
3 2 3
1 0 4
0 3 2
1 0 3
0 3 4
2 0 4
10 5
1 1 2
3 3 4
3 2 3
3 4 1
1 2 3
1 0 4
0 3 2
1 3 4
0 0 3
2 1 4
10 7
2 4 2
4 4 3
4 2 1
0 5 5
2 0 5
2 2 5
0 4 0
1 1 5
0 2 1
2 0 4
10 7
5 4 1
3 4 2
3 3 5
0 3 0
0 3 5
2 2 4
1 3 2
0 3 4
3 2 1
1 4 3
10 8
0 4 0
1 4 0
1 0 4
5 3 5
1 4 2
5 1 5
1 2 2
2 5 4
4 2 2
3 4 4
10 2
2 2 2
4 3 0
1 3 1
2 0 0
2 3 0
4 2 3
0 0 0
0 0 3
2 4 1
3 0 2
10 5
2 3 4
1 2 4
4 1 0
3 2 3
0 3 4
1 2 1
3 1 3
1 1 4
1 1 1
4 0 0
10 5
5 2 3
0 0 3
3 1 2
1 2 2
3 0 1
0 0 4
2 0 0
1 5 1
5 2 0
4 4 3
10 4
1 3 4
0 2 0
0 3 4
2 0 4
4 4 0
3 1 2
3 3 3
2 4 1
1 4 3
4 2 2
10 5
0 1 3
0 0 0
2 0 2
3 3 3
3 2 0
2 1 3
2 3 1
2 1 0
3 1 0
1 3 2
10 9
3 3 0
1 1 1
3 3 4
1 4 2
3 2 0
2 1 4
4 3 3
1 3 4
2 2 1
3 4 2
10 3
0 2 1
2 0 0
0 0 1
0 0 2
2 0 1
0 1 0
1 1 0
1 0 2
1 0 1
0 1 2
10 4
2 1 1
0 2 0
0 0 1
2 1 0
3 3 1
2 3 1
1 1 1
3 1 3
0 3 0
0 3 3
10 5
3 2 1
3 2 2
3 3 0
1 3 1
1 1 3
3 3 1
2 1 0
1 0 3
0 3 1
2 2 2
10 2
1 0 1
2 2 2
2 2 1
2 1 2
1 2 2
0 1 2
0 1 0
1 2 0
0 2 2
0 0 2
10 9
2 0 1
3 1 2
3 1 0
3 3 2
1 2 3
0 3 0
3 2 3
3 3 0
0 2 2
0 2 0
10 4
2 0 3
3 3 0
1 2 2
1 0 0
1 3 3
2 2 2
2 2 1
1 0 1
0 0 0
1 0 3
10 2
3 1 0
2 4 3
2 3 1
4 2 3
0 4 1
4 0 0
2 1 0
1 4 0
1 2 3
1 3 4
10 6
2 1 3
3 2 3
3 2 0
2 3 2
1 2 1
3 2 1
0 1 2
0 3 2
0 3 0
3 0 2
10 3
1 4 4
0 0 0
5 1 4
2 4 4
2 1 5
1 4 1
2 0 5
2 5 1
1 2 5
1 3 0
10 4
1 1 0
3 0 4
4 4 4
4 0 3
2 5 5
3 3 5
2 1 5
1 5 1
4 2 5
5 4 0
10 6
1 2 4
3 2 3
0 3 2
0 0 0
4 0 3
0 1 2
0 2 1
3 4 4
4 0 1
2 4 4
10 7
0 0 2
2 1 0
0 2 2
1 1 2
1 2 0
1 1 1
1 2 1
0 1 0
2 2 1
0 1 2
10 8
1 3 0
1 3 2
2 1 1
2 0 3
3 0 2
0 2 1
0 0 2
0 3 1
0 0 1
1 0 0
10 3
2 1 1
0 1 1
0 1 2
2 2 1
0 0 0
1 1 2
2 1 2
2 0 0
2 2 0
2 0 2
10 8
2 3 4
3 5 3
3 4 2
1 2 3
4 3 5
1 2 4
4 4 2
3 1 1
5 5 0
3 5 5
10 5
0 4 2
0 1 1
4 0 1
2 0 4
2 0 2
3 2 1
1 0 4
1 0 2
4 1 3
4 0 4
10 7
2 3 2
0 1 0
0 3 0
3 3 3
2 2 1
3 1 1
2 2 0
3 1 3
0 0 3
2 0 1
10 5
3 3 2
1 2 1
3 0 2
1 1 0
2 3 2
2 0 3
3 3 0
0 3 1
2 2 3
0 0 2
10 6
3 2 1
1 3 3
1 0 3
3 3 2
3 1 3
0 2 0
0 3 0
1 0 0
2 1 1
3 0 2
10 5
1 1 1
0 1 2
0 2 1
0 1 1
0 0 1
1 0 2
0 2 0
1 2 2
0 2 2
0 1 0
10 8
1 2 0
1 1 1
1 0 0
2 2 1
2 1 2
0 2 1
2 2 2
0 2 2
0 1 0
0 0 2
10 8
0 1 2
5 1 2
4 0 1
2 2 2
3 5 4
3 1 3
1 0 4
1 1 1
3 4 2
3 3 1
10 3
2 1 0
0 2 0
1 2 1
0 2 1
0 2 2
2 1 1
0 1 2
0 0 2
1 2 2
2 2 2
10 2
1 0 0
0 0 0
0 2 1
0 0 2
0 1 0
0 2 2
1 1 1
2 1 0
2 2 2
1 2 1
10 7
2 3 0
2 2 3
3 0 1
2 3 1
2 0 3
3 3 3
3 2 1
0 2 3
1 2 1
1 1 1
10 7
4 2 1
4 3 4
3 2 3
0 3 4
2 0 4
0 1 3
3 1 4
2 3 4
0 1 2
1 2 2
10 2
1 3 4
5 3 0
0 2 2
5 5 4
0 5 5
5 2 5
1 4 1
4 4 4
3 4 4
5 0 2
10 6
3 1 2
2 2 2
3 3 1
0 2 0
1 0 2
3 3 2
0 0 0
1 3 2
2 3 3
3 0 1
10 9
2 1 4
0 5 3
3 2 3
0 2 2
4 1 0
5 1 3
2 4 5
5 2 0
2 5 5
3 2 1
10 7
2 2 1
2 2 2
1 0 3
2 3 3
0 2 3
0 0 2
0 1 0
3 2 2
3 1 1
1 3 3
10 7
2 1 2
2 1 1
0 2 1
2 0 2
1 0 0
2 1 0
0 2 2
1 1 0
1 1 1
2 2 2
10 8
0 2 2
1 0 2
1 1 0
2 2 0
1 1 1
2 1 0
0 1 1
2 0 1
2 0 2
1 0 1
10 8
3 3 1
4 4 3
2 0 1
2 0 4
0 4 0
3 0 3
4 3 0
2 1 3
0 1 1
4 2 4
10 5
3 1 5
3 5 5
5 5 2
5 0 3
2 1 5
2 5 4
3 5 2
0 5 2
2 3 3
4 5 4
10 3
5 3 5
2 1 1
0 0 0
5 0 1
2 1 2
0 4 0
0 0 5
3 0 4
3 0 3
1 0 3
10 4
2 0 0
2 1 1
0 0 2
0 0 0
0 1 0
2 1 0
1 2 0
1 1 2
2 2 0
0 1 2
10 9
3 0 0
4 2 5
4 4 5
3 2 4
0 2 3
0 4 5
4 0 1
3 0 2
1 3 3
3 2 2
10 4
2 0 1
0 2 2
1 1 0
1 0 1
0 0 1
2 2 0
2 0 0
2 2 1
1 2 2
2 1 2
10 2
2 1 0
3 3 1
1 2 3
1 4 4
1 0 2
0 0 3
0 4 1
4 0 2
2 4 1
3 2 0
10 9
0 2 1
1 2 1
0 0 1
1 1 2
0 1 1
0 1 2
1 0 2
1 0 1
2 1 2
1 2 0
10 4
1 0 1
2 1 1
0 0 2
1 0 2
1 1 0
2 2 0
0 1 1
0 2 0
1 0 0
1 2 1
10 6
3 4 2
2 3 1
3 1 2
4 4 3
3 1 0
2 2 0
1 3 2
1 3 3
2 2 1
3 2 4
10 3
4 2 1
2 2 1
3 4 4
2 0 3
0 4 1
3 3 1
2 4 4
2 2 0
1 1 0
3 2 3
10 2
1 0 0
0 1 1
2 2 2
2 1 2
2 1 1
1 1 0
2 0 1
1 1 1
1 2 0
1 0 1
10 5
2 0 4
5 4 1
1 5 5
5 2 2
4 5 2
4 2 3
5 3 0
2 4 0
4 3 4
2 2 0
10 2
0 2 1
2 1 1
2 0 0
1 1 2
1 0 0
0 2 0
1 2 0
0 1 2
2 2 0
2 2 2
10 2
2 1 3
0 2 4
1 2 1
4 2 2
2 1 2
3 3 1
3 1 2
0 4 2
1 0 4
1 1 0
10 2
2 0 1
1 2 2
3 2 3
3 3 3
4 2 4
2 0 2
4 4 1
1 1 0
0 4 3
3 3 0
10 7
2 0 1
1 1 1
1 0 1
2 2 0
1 1 2
2 1 2
0 0 0
1 2 2
0 1 1
0 2 2
10 9
1 4 4
0 3 0
2 5 2
5 5 2
1 5 3
4 3 5
3 5 2
4 4 3
5 0 0
4 5 3
10 3
3 0 4
3 5 5
5 1 0
5 2 0
2 5 2
1 4 1
2 4 4
3 2 2
0 0 1
1 3 3
10 2
0 2 1
2 2 3
3 2 2
3 0 3
2 1 3
3 1 0
3 3 1
0 3 0
0 1 0
1 2 0
10 6
0 1 1
2 1 2
1 1 2
0 2 0
2 2 1
1 0 1
0 2 1
0 2 2
1 2 0
1 1 0
10 5
3 3 2
3 0 0
0 4 1
1 4 2
2 3 1
4 0 2
4 1 0
1 0 0
4 4 4
2 1 2
10 8
3 3 0
0 0 0
1 2 2
0 0 2
0 1 3
0 3 3
2 0 1
0 0 3
3 3 2
1 0 2
10 2
3 0 2
0 3 0
1 3 0
3 3 1
1 1 2
3 2 1
2 1 0
3 2 2
3 1 1
1 2 2
10 4
1 0 0
2 1 1
2 0 2
0 1 1
0 0 0
1 2 1
2 2 1
1 1 0
0 2 2
1 0 2
10 5
1 2 1
4 0 4
1 2 4
3 2 1
2 4 3
2 1 2
0 4 2
4 0 2
4 1 2
1 2 3
10 5
2 0 0
2 1 0
3 1 3
3 0 3
2 0 2
0 1 1
0 3 3
2 1 2
0 0 2
3 3 0
10 3
0 4 3
5 2 5
4 5 1
1 0 2
4 1 1
1 2 1
1 3 2
0 5 1
2 0 0
4 2 0
10 4
3 5 0
1 5 1
3 1 3
1 5 3
4 2 2
3 5 1
4 0 4
0 4 2
2 5 2
0 1 1
10 7
2 1 1
0 1 1
1 0 0
1 1 2
0 0 1
0 0 2
0 2 1
1 1 1
1 0 1
2 0 0
10 4
2 2 1
1 1 1
2 0 2
2 0 1
1 0 2
2 2 2
0 0 0
1 2 2
2 0 0
0 2 0
10 5
4 4 4
3 5 5
1 5 3
0 3 0
2 1 1
0 0 3
1 3 5
1 4 1
4 0 4
0 5 0
10 6
0 2 3
3 2 3
3 3 3
1 2 0
1 0 3
0 3 3
0 3 1
0 3 2
2 1 2
0 2 0
10 2
5 2 0
3 1 2
4 4 1
1 5 1
5 3 1
5 1 4
4 5 5
3 2 2
4 1 1
1 0 2
10 4
1 0 0
1 0 2
0 2 0
1 1 0
1 2 1
0 1 0
1 1 2
1 1 1
1 0 1
1 2 0
10 9
1 2 0
2 0 2
2 0 0
2 2 1
0 2 2
1 2 2
1 2 1
0 0 1
0 1 0
0 2 0
10 6
0 1 4
3 2 1
0 1 0
3 3 3
4 4 0
3 2 0
2 1 4
0 4 1
3 2 2
1 3 1
10 7
1 0 2
1 1 0
0 2 1
2 0 0
0 1 0
0 1 1
1 2 0
2 0 2
1 1 1
2 2 0
10 2
2 2 2
2 2 1
0 2 2
1 0 0
0 2 1
0 0 0
1 2 2
0 1 1
2 1 2
0 1 0
10 2
2 2 3
1 3 1
2 3 1
2 3 0
2 2 4
0 2 0
3 4 0
3 3 4
4 4 3
1 4 1
10 3
3 2 1
0 2 3
0 3 0
4 0 1
2 3 1
4 2 0
2 3 2
1 2 0
2 1 4
4 4 2
10 7
2 2 1
3 1 2
0 3 1
3 2 1
3 0 1
0 2 3
2 0 2
2 1 3
2 3 0
3 1 3
10 3
2 0 0
1 2 2
0 1 0
2 2 1
2 1 1
1 1 2
1 1 1
1 0 0
2 2 2
0 0 2
10 9
2 0 1
2 0 0
2 1 1
1 2 3
0 3 1
2 2 0
1 0 1
2 0 2
0 0 3
1 2 1
10 2
0 2 0
0 0 0
2 2 1
1 0 1
1 2 1
2 0 2
2 2 0
2 0 0
0 2 1
1 0 2
10 2
0 0 2
2 3 0
1 2 1
2 1 2
1 1 2
2 2 2
1 3 2
2 2 3
2 2 0
3 2 0
10 5
1 1 1
0 0 0
1 2 1
1 1 2
0 3 3
1 2 3
1 2 0
2 2 0
2 2 1
0 3 0
10 6
2 0 0
0 1 2
2 0 1
2 2 0
0 2 2
2 1 0
0 0 0
0 1 1
1 0 0
1 1 2
10 3
1 5 2
2 1 3
0 0 3
1 0 4
0 2 3
1 4 4
5 3 5
5 2 0
4 4 0
3 3 1
10 9
1 2 1
1 1 2
1 0 3
0 1 2
0 1 1
0 0 1
0 2 0
2 0 1
0 0 0
1 3 1
10 6
1 2 1
3 4 0
1 1 2
3 1 1
1 3 3
1 4 0
5 0 3
4 1 1
1 3 0
0 3 5
10 8
3 1 4
3 5 3
2 0 3
1 5 5
2 0 2
4 1 4
5 4 1
1 0 5
3 3 2
5 3 5
10 3
0 0 1
2 2 1
1 2 0
0 1 1
0 0 3
2 0 2
3 0 3
2 3 2
1 1 1
0 2 0
10 2
0 3 0
0 1 3
1 1 1
1 2 2
3 3 3
1 3 0
1 2 1
2 2 0
3 0 0
3 1 3
10 3
1 2 4
3 1 2
3 0 4
3 1 1
1 0 3
4 3 3
5 4 3
1 4 3
1 5 1
1 0 2
10 7
2 2 3
1 1 3
3 0 2
2 1 2
3 3 0
3 1 2
0 0 3
2 3 1
0 2 2
2 1 0
10 8
1 1 1
0 0 2
2 2 1
1 1 2
0 2 0
2 2 0
2 2 2
2 0 2
0 2 1
1 2 2
10 9
3 2 3
2 0 2
1 2 1
0 1 1
1 3 2
0 3 1
1 2 0
1 1 2
3 2 1
1 0 0
10 7
0 1 0
2 0 0
2 2 2
1 1 0
1 0 1
2 2 1
0 2 0
2 1 1
0 1 2
1 2 0
10 8
0 0 0
0 0 2
0 2 1
0 1 2
2 1 2
1 2 0
2 2 2
0 1 1
1 0 0
2 0 1
10 5
0 0 1
3 1 2
2 2 0
2 0 2
0 1 0
2 1 2
1 3 1
2 3 3
1 1 1
3 1 0
10 7
2 5 1
1 3 1
1 3 5
0 3 5
4 0 3
3 4 2
3 2 1
1 1 1
3 5 2
5 0 1
10 3
2 0 1
2 2 2
1 0 1
0 0 0
2 0 0
1 1 2
1 0 2
1 1 0
0 2 1
1 1 1
10 6
2 4 3
3 1 4
1 1 1
4 0 1
0 2 4
3 2 2
2 2 3
4 1 1
2 3 4
1 4 2
10 9
2 1 1
3 2 0
2 0 1
2 3 3
1 3 0
3 3 1
3 1 1
1 2 2
0 2 3
0 1 2
10 8
0 2 0
1 1 1
1 3 2
2 2 1
1 2 1
2 2 2
0 2 2
1 2 3
1 1 3
1 0 1
10 6
2 0 1
0 0 1
0 2 2
0 2 0
2 1 2
0 2 1
2 0 2
0 0 0
2 0 0
1 1 0
10 4
2 2 5
1 3 0
4 5 4
1 1 4
0 2 4
0 4 2
4 4 1
1 5 1
3 2 5
5 5 1
10 7
0 4 4
0 5 3
3 5 3
2 1 1
2 1 5
2 3 2
4 1 4
2 2 1
2 3 0
4 0 4
10 9
4 5 5
3 3 1
0 2 4
2 4 5
1 1 0
5 5 2
3 0 3
4 4 4
2 2 5
3 5 4
10 3
1 2 0
0 1 1
1 1 1
0 1 2
2 0 1
1 2 1
1 0 0
2 1 1
2 0 2
2 2 1
10 7
0 4 2
0 1 4
0 3 4
1 0 3
2 3 3
4 4 4
3 0 2
3 0 0
3 1 2
1 3 3
10 5
3 3 2
1 3 0
2 0 3
2 2 0
0 2 3
3 2 0
1 0 1
1 3 3
1 1 1
1 2 1
10 6
0 2 2
2 1 2
2 1 1
1 4 4
3 0 3
3 0 4
1 1 1
0 4 2
1 1 3
3 4 2
10 7
0 0 3
3 3 3
3 1 1
3 3 2
0 2 0
3 2 1
0 1 2
3 0 1
2 3 2
2 3 1
10 6
0 2 2
2 0 0
0 2 1
0 2 0
1 0 0
1 2 0
2 2 2
0 0 1
1 0 2
2 1 2
10 8
0 0 3
2 2 0
1 3 2
3 2 3
2 2 2
0 3 3
3 3 3
2 1 1
1 2 3
1 2 2
10 6
2 0 1
2 1 0
1 1 2
1 1 1
2 2 1
0 1 2
1 0 0
0 2 0
2 1 2
1 1 0
10 8
0 0 0
0 4 3
0 1 2
3 4 0
1 2 0
4 4 3
1 2 1
3 3 2
4 3 1
4 1 3
10 5
4 3 1
1 3 1
0 4 2
1 3 3
0 2 3
4 1 3
4 3 3
3 2 1
4 1 4
0 0 0
10 8
2 0 2
2 2 1
2 0 1
0 1 1
1 0 2
1 2 2
2 2 2
2 0 0
0 2 2
1 2 0
10 4
1 2 0
0 0 0
3 1 3
2 2 2
1 2 2
1 3 1
0 1 1
2 1 0
2 0 1
3 3 3
10 4
0 0 0
0 2 1
1 0 0
0 0 3
1 2 3
2 2 1
3 1 2
1 3 3
3 2 2
3 1 3
10 4
0 1 0
1 3 0
3 4 1
2 4 4
0 1 3
0 2 3
3 1 0
0 1 1
4 2 1
4 1 3
10 4
2 0 1
1 0 1
1 0 2
2 0 2
2 2 1
0 2 1
0 0 2
1 1 0
1 1 2
0 0 1
10 2
0 2 0
0 3 2
0 0 3
1 2 1
2 1 2
0 1 1
1 1 1
0 1 2
1 1 3
0 0 1
10 6
0 2 3
3 2 1
1 0 0
1 1 2
1 3 2
1 3 0
3 1 0
1 2 2
2 2 0
1 2 0
10 7
0 4 4
4 2 4
2 2 4
3 2 3
3 1 4
1 0 3
2 0 3
1 2 3
3 4 2
2 0 1
10 2
3 3 0
0 2 1
3 1 2
0 1 3
0 3 0
3 1 4
3 4 0
0 4 1
3 3 4
2 0 1
10 6
1 1 2
1 1 1
2 2 1
1 0 2
2 0 2
1 2 0
0 2 2
1 2 1
0 1 0
2 1 2
10 3
4 1 3
1 0 0
0 2 4
2 4 4
0 5 5
0 3 1
1 0 3
0 2 2
4 0 0
1 2 5
10 3
2 0 3
0 4 0
4 0 1
1 2 1
0 2 2
4 1 4
4 3 4
0 3 1
4 2 2
3 2 1
10 8
3 4 2
2 0 5
2 1 3
3 3 4
4 2 4
0 2 4
2 1 5
0 1 4
4 4 1
5 3 1
10 6
3 2 1
1 0 0
2 4 1
3 2 4
3 1 4
2 4 0
4 4 4
3 0 4
3 3 1
1 4 1
10 2
0 3 3
2 1 1
0 2 2
3 0 3
3 1 0
1 2 1
0 1 1
0 2 3
0 2 0
2 0 0
10 2
3 2 1
1 1 0
0 2 2
0 3 2
3 1 2
1 2 3
0 0 1
3 0 3
2 0 2
1 2 0
10 4
1 2 1
0 3 3
1 3 0
3 2 0
0 3 1
1 1 1
0 2 3
2 2 2
3 3 1
3 2 3
10 3
3 3 1
2 3 4
2 1 2
1 3 4
0 4 2
0 1 0
3 4 1
2 1 3
4 4 2
4 0 2
10 8
1 4 3
0 4 2
3 1 4
4 2 1
2 2 4
3 3 4
0 4 4
2 3 3
4 0 3
3 4 2
10 5
0 0 1
1 0 1
1 2 1
0 1 0
1 0 0
0 0 2
2 1 1
0 0 0
2 0 1
2 1 0
10 6
2 1 0
0 0 1
2 1 2
1 1 1
2 2 1
2 0 0
0 2 2
2 2 2
0 1 2
2 0 2
10 8
2 3 0
0 1 3
3 0 0
0 2 3
2 3 1
3 0 3
0 0 2
3 1 3
3 0 2
2 0 3
10 2
2 1 0
1 1 2
0 2 1
0 3 2
0 0 1
2 0 0
1 1 1
1 2 1
3 2 0
1 3 2
10 9
1 1 0
0 2 0
1 0 0
2 2 2
1 0 2
0 2 2
0 1 0
1 2 1
0 0 0
2 2 1
10 7
2 1 0
1 2 3
0 3 1
2 2 3
0 2 3
3 3 3
2 2 2
1 3 3
0 2 0
0 0 1
10 8
2 0 0
1 1 0
2 0 2
1 2 1
0 2 0
1 2 2
0 1 0
2 1 0
1 0 1
2 2 2
10 8
0 1 0
3 2 1
2 2 2
3 0 1
1 2 1
0 1 3
2 1 3
2 0 0
0 0 3
3 3 2
10 8
4 2 3
1 2 5
1 4 2
3 1 4
2 5 1
3 3 3
1 2 0
2 2 2
0 5 5
5 0 3
10 2
1 2 0
4 0 0
2 1 4
4 3 2
2 4 2
4 1 3
2 3 1
4 0 3
3 1 4
2 1 3
10 8
4 2 0
0 2 2
5 4 2
3 5 2
2 3 0
5 5 2
0 1 4
4 2 5
0 5 4
1 1 2
10 2
3 0 3
0 1 3
2 2 2
0 0 1
2 2 1
1 0 2
1 2 0
1 2 3
0 1 2
0 2 3
10 3
1 2 3
0 3 2
1 3 1
0 0 1
2 3 2
0 0 3
3 3 2
2 3 1
2 1 1
2 2 2
10 5
1 0 0
3 0 3
0 0 3
1 2 3
3 1 1
1 1 1
0 2 2
3 0 1
3 3 1
3 1 0
10 4
3 1 2
2 3 2
1 0 1
3 0 3
3 2 1
0 2 0
2 3 3
0 2 2
0 3 3
0 0 0
10 5
2 2 2
2 2 1
0 2 1
0 1 1
0 1 0
2 0 2
1 1 2
0 2 0
0 1 2
1 1 0
10 3
2 1 2
1 0 0
2 1 1
2 1 0
0 0 2
2 0 1
0 0 0
2 2 1
1 1 1
0 2 0
10 2
1 0 0
2 2 0
0 3 2
3 2 1
2 3 1
0 2 2
2 1 2
1 2 1
1 1 2
3 3 3
10 7
3 2 1
4 1 2
0 0 1
0 4 2
3 3 1
1 2 3
0 0 3
4 3 0
0 1 0
0 4 0
10 6
3 3 5
4 4 5
4 2 1
3 0 1
0 4 0
4 1 0
3 4 2
0 1 5
2 5 0
5 2 0
10 7
1 1 3
3 1 0
0 2 0
4 4 1
3 3 1
4 0 4
1 0 1
1 0 4
4 1 2
4 0 1
10 9
0 5 5
2 0 1
2 5 1
4 0 0
5 1 1
1 5 2
0 5 4
2 3 2
3 1 2
0 4 1
10 2
1 2 1
2 2 3
3 0 1
0 2 1
2 2 1
1 0 3
3 3 0
3 2 3
1 3 1
1 0 1
10 4
1 1 4
3 2 0
0 2 3
2 3 1
4 1 2
1 3 1
3 3 3
1 0 0
2 1 3
2 2 4
10 6
4 1 1
2 3 1
3 0 1
4 0 1
4 4 3
1 3 2
0 0 0
2 2 2
4 0 3
4 3 1
10 3
0 2 0
0 1 0
1 0 2
2 1 1
1 0 0
2 2 2
2 0 1
1 1 2
2 2 1
0 2 1
10 4
2 2 4
3 3 3
2 2 2
3 4 4
0 1 1
3 0 3
4 3 3
3 4 1
3 3 2
4 4 1
10 3
2 3 3
2 0 3
0 1 2
0 1 0
1 0 0
0 0 4
2 1 4
3 2 0
2 3 1
2 0 4
10 7
0 4 2
4 2 5
2 5 2
1 1 5
0 5 5
5 1 0
3 3 5
4 0 0
4 3 4
3 1 0
10 3
2 1 2
0 2 1
2 0 1
2 2 2
1 0 2
0 1 0
2 1 1
0 0 0
1 2 2
1 1 0
10 4
0 2 1
1 2 2
1 0 3
2 1 1
0 2 2
2 3 0
2 3 3
3 0 2
1 0 2
2 2 3
10 8
2 0 4
0 5 2
2 1 3
1 1 4
3 0 0
5 2 1
0 3 1
5 0 4
4 3 1
1 0 0
10 9
1 2 1
0 1 1
2 1 1
2 0 1
2 1 2
1 1 0
1 2 2
1 0 1
2 0 0
2 2 1
10 6
0 1 2
2 2 4
2 0 3
0 4 4
0 1 1
2 2 0
0 3 2
2 1 0
1 2 1
2 4 4
10 6
4 2 3
1 1 1
2 0 1
3 4 3
0 1 0
2 1 4
1 4 0
2 4 4
1 0 3
3 0 2
10 8
5 1 4
0 2 1
1 5 5
0 1 1
1 4 5
2 0 5
0 0 0
4 1 1
4 1 3
3 3 4
10 6
1 0 0
5 2 1
1 5 3
0 4 0
2 5 0
2 0 4
3 0 5
0 0 2
5 3 0
1 5 4
10 5
1 0 2
1 1 1
0 0 1
1 2 1
2 2 2
1 1 0
2 0 1
2 0 0
0 1 2
0 2 0
10 4
4 1 1
1 3 0
1 4 2
2 3 4
3 2 3
3 1 2
2 1 1
3 0 3
2 4 1
2 4 0
10 5
1 2 2
1 1 3
1 0 1
1 2 3
2 1 2
1 4 2
3 1 4
4 1 4
0 1 2
0 0 3
10 2
0 4 3
0 3 1
0 1 2
4 2 3
1 2 2
0 2 0
2 3 1
1 2 4
2 2 4
3 3 4
10 9
1 1 2
1 4 1
1 3 4
2 0 1
4 1 2
4 2 4
3 0 1
2 1 2
4 2 1
1 2 1
10 9
0 3 2
0 3 0
3 3 4
0 0 1
4 0 4
4 2 4
1 2 0
0 2 0
4 4 0
1 2 3
10 8
0 2 1
0 1 1
1 0 3
3 3 1
0 2 0
1 2 1
2 0 0
2 1 0
3 3 3
2 0 3
10 5
2 0 1
2 0 2
2 2 2
1 0 0
0 1 0
2 1 1
0 0 2
0 2 2
0 1 2
1 1 0
10 6
3 2 2
0 2 0
3 0 1
2 1 3
0 1 1
3 0 0
1 0 1
2 0 1
2 3 0
2 1 0
10 3
4 2 3
3 1 4
1 1 1
4 5 3
5 5 4
0 2 4
2 4 3
0 3 0
5 5 0
2 1 1
10 5
3 3 3
2 4 3
3 3 5
2 3 0
1 5 5
4 1 1
5 2 2
5 4 3
0 4 4
0 5 3
10 9
0 3 4
1 1 0
0 2 0
2 4 4
0 3 0
1 2 2
4 0 0
4 4 3
2 4 1
3 0 1
10 8
0 2 2
0 0 1
1 2 0
1 1 2
2 1 1
1 0 0
1 2 1
2 0 2
1 0 2
1 1 0
10 5
2 1 3
3 3 3
1 1 2
3 2 0
0 3 1
0 0 2
1 3 3
0 0 0
3 3 1
2 3 2
10 8
0 2 0
2 1 0
0 0 2
2 2 1
2 1 1
0 2 1
0 2 2
2 0 2
1 1 2
1 0 0
10 2
1 3 1
1 0 2
3 0 2
1 1 1
4 4 4
0 4 2
0 1 2
4 0 3
3 2 1
2 4 1
10 2
3 2 3
1 3 3
0 0 2
1 0 0
2 3 3
2 0 1
2 0 2
2 0 0
2 1 3
1 1 0
10 4
1 1 0
1 1 2
0 0 1
2 2 0
1 0 0
0 1 2
0 2 2
2 0 1
1 2 0
0 0 2
10 9
0 3 2
0 2 1
3 0 3
3 1 1
0 3 3
1 1 1
1 3 1
1 1 0
2 3 2
0 0 0
10 2
0 2 3
0 1 3
2 2 1
0 1 1
1 3 2
1 1 1
0 3 1
3 2 2
1 2 1
2 3 1
10 2
3 3 1
3 0 2
2 3 2
0 0 0
2 0 3
1 1 3
3 1 3
1 0 1
2 2 0
1 1 2
10 2
1 1 3
4 0 2
4 0 1
0 0 3
4 3 3
1 3 1
3 3 1
4 0 4
1 0 2
3 3 0
10 2
5 0 1
2 2 5
5 0 4
3 2 2
4 0 4
3 1 3
0 0 3
4 5 0
0 2 0
4 0 1
10 4
3 2 3
0 2 1
1 0 3
1 1 0
2 1 3
3 3 3
2 2 2
2 3 0
3 1 1
3 3 0
10 5
0 1 0
0 1 2
0 2 0
2 2 0
0 0 2
2 1 1
2 2 2
1 0 2
1 2 0
1 1 2
10 8
3 2 2
3 0 3
0 1 2
2 3 0
1 2 3
0 2 3
3 2 3
0 2 2
1 2 1
0 1 0
10 8
1 2 2
1 1 3
2 0 0
2 2 3
3 0 0
2 3 3
1 3 1
0 1 2
3 3 1
0 0 0
10 9
0 2 2
1 3 4
2 2 0
1 4 1
1 2 3
0 4 3
4 0 0
3 1 4
1 1 1
4 4 2
10 3
2 1 1
1 1 3
3 1 0
0 0 2
2 1 0
2 2 2
0 1 0
0 3 2
0 3 3
3 3 3
10 5
2 2 2
1 2 1
1 0 3
0 3 2
1 2 0
3 3 1
3 0 1
0 0 2
3 0 3
0 2 2
10 6
2 2 0
0 1 2
2 2 2
2 0 0
0 2 1
1 0 0
2 1 0
1 0 2
2 1 1
0 1 0
10 3
2 2 1
2 1 0
4 3 2
3 3 2
4 4 1
4 1 4
3 1 0
0 4 0
3 1 3
1 4 0
10 5
4 1 2
0 0 4
1 4 4
3 4 4
3 2 2
2 4 0
0 4 2
2 2 1
0 1 0
4 3 3
10 7
0 0 2
0 2 0
2 1 1
0 0 1
0 2 2
0 1 1
1 1 2
1 0 0
2 2 2
0 1 2
10 6
0 3 5
0 5 2
0 2 0
4 1 3
0 3 0
5 5 2
3 5 4
3 4 5
3 4 1
0 2 5
10 3
0 0 1
2 2 2
0 0 0
1 0 0
1 1 0
1 2 2
1 2 1
2 1 2
1 0 1
2 2 1
10 9
2 0 2
3 2 4
0 1 1
2 4 0
0 0 0
1 0 3
1 1 3
3 4 4
1 4 4
0 4 0
10 3
2 0 1
0 2 2
1 1 2
1 2 0
0 2 0
1 0 2
2 1 2
1 2 2
0 1 1
1 1 0
10 6
0 0 2
2 3 2
0 2 2
2 3 0
3 0 0
1 0 1
2 3 1
2 3 3
2 2 0
1 1 2
10 2
2 2 0
2 2 1
1 2 2
2 1 2
1 1 2
1 0 2
0 0 1
0 2 2
2 0 0
1 1 1
10 9
3 1 2
3 3 1
1 2 4
3 1 0
0 1 4
3 0 2
2 4 2
1 0 2
4 2 3
2 4 3
10 8
1 2 3
2 1 0
0 1 1
3 1 0
0 1 2
3 3 1
3 2 1
0 3 3
0 3 1
3 1 2
10 3
3 2 0
3 0 2
1 3 0
2 0 0
2 0 2
0 0 3
1 2 1
2 3 2
3 2 3
0 2 3
10 4
2 3 4
1 1 1
2 2 1
1 2 0
0 2 3
2 4 4
2 4 0
1 1 0
0 4 1
4 1 3
10 3
0 5 5
1 2 3
1 0 3
1 1 4
2 4 1
4 0 5
0 4 1
1 3 5
5 4 3
2 2 2
10 9
3 4 1
3 2 1
0 2 3
3 3 3
3 2 3
1 3 4
4 4 0
4 0 1
1 1 2
4 2 4
10 8
0 0 3
0 0 1
3 0 2
1 0 4
4 1 1
2 3 3
4 3 4
0 2 2
3 2 3
2 3 4
10 9
1 0 0
3 3 3
1 3 1
1 1 3
0 0 1
1 1 0
2 3 3
3 0 0
1 0 3
2 2 2
10 3
2 2 2
2 0 1
1 2 1
0 1 0
0 1 1
0 2 0
2 1 1
1 1 0
0 0 2
2 0 0
10 2
2 5 2
1 0 5
2 2 2
0 1 3
0 1 2
5 5 5
2 0 2
3 4 0
3 1 0
0 5 4
10 5
4 2 3
4 1 3
3 1 1
2 2 2
2 2 0
4 3 3
1 0 0
2 2 4
0 3 0
3 3 4
10 4
2 3 4
2 0 3
5 4 5
2 0 0
4 3 2
2 2 0
5 2 4
4 0 4
3 0 1
4 2 0
10 9
1 1 0
0 0 0
1 0 1
1 0 0
2 0 2
0 2 2
1 2 0
1 1 1
2 2 2
2 1 0
10 4
1 2 0
1 3 2
2 1 1
1 1 1
1 2 2
2 3 1
1 3 1
0 1 0
2 1 2
2 3 3
10 4
3 4 2
0 0 1
0 3 1
1 2 4
4 3 0
3 0 3
2 0 0
3 0 2
3 0 1
2 0 1
10 9
1 0 2
2 3 0
3 4 1
2 4 0
4 4 2
2 1 3
4 1 2
3 2 1
0 0 4
3 4 4
10 5
0 1 4
2 1 1
4 4 0
1 0 1
4 2 3
4 0 0
4 2 4
1 3 1
0 3 1
2 0 3
10 4
0 1 1
2 0 1
2 1 0
0 1 0
2 2 1
1 0 1
1 0 0
0 0 0
2 1 2
0 2 2
10 5
4 4 0
2 0 0
0 0 2
0 2 2
0 1 0
3 0 0
2 0 3
1 4 0
2 2 3
2 2 0
10 7
0 2 2
1 0 2
2 0 2
0 0 0
1 1 1
2 1 2
1 2 1
1 2 0
2 2 1
0 2 1
10 9
1 1 2
2 2 3
2 5 1
4 1 3
5 2 2
2 2 4
4 4 4
4 0 5
3 1 4
4 4 3
10 8
1 2 3
1 5 0
4 2 4
3 4 3
5 1 3
4 0 3
0 4 5
2 1 3
3 0 0
3 5 4
10 6
3 3 1
1 0 3
2 0 0
1 4 4
1 0 4
1 4 2
0 1 2
1 2 4
4 1 1
3 2 4
10 6
1 1 1
3 0 1
1 1 2
0 1 3
3 1 3
3 3 0
2 1 1
2 2 1
1 3 3
0 3 0
10 7
0 1 2
2 2 0
2 1 0
0 0 1
1 1 2
1 2 1
2 1 2
1 0 0
1 0 1
0 2 1
10 7
2 0 0
2 0 1
0 1 1
0 1 2
0 1 0
2 2 2
0 0 2
2 2 1
1 0 0
2 1 0
10 8
0 0 1
1 2 1
1 1 1
2 1 1
0 1 0
0 1 1
1 2 2
0 0 0
0 1 2
2 1 2
10 2
2 3 0
3 2 1
3 0 1
0 2 0
0 1 2
0 3 4
0 2 3
0 0 0
0 0 2
2 2 2
10 9
3 0 1
3 1 2
1 2 1
0 2 3
0 4 0
4 3 1
4 2 2
2 4 1
4 4 2
4 0 2
10 6
1 3 2
1 0 2
3 3 3
2 3 1
3 3 2
2 1 3
2 3 2
0 2 2
2 0 2
3 2 1
10 2
2 2 1
0 1 2
0 2 2
1 1 2
1 2 0
1 2 2
0 1 1
2 0 1
2 0 0
0 0 0
10 7
0 0 0
0 0 1
2 0 2
2 1 1
1 1 2
0 2 1
1 2 2
0 1 0
1 1 0
2 2 2
10 4
4 3 2
2 2 5
3 1 5
3 3 5
2 1 0
2 4 0
4 5 2
5 1 5
3 0 0
5 0 1
10 5
3 1 1
1 2 0
0 5 5
0 4 3
2 3 0
4 1 2
1 0 4
3 1 3
5 0 4
5 3 1
10 3
4 3 1
4 0 0
1 0 4
0 3 4
2 3 2
3 4 0
2 1 1
1 0 2
3 1 3
3 4 1
10 9
4 3 3
1 0 5
4 2 5
4 5 2
4 1 2
3 1 3
2 2 0
0 2 5
4 1 1
0 0 4
10 5
3 0 2
4 4 1
4 3 2
2 1 0
3 0 4
1 1 3
2 2 4
3 3 3
2 2 1
3 2 3
10 6
1 3 3
3 3 0
2 0 3
3 0 0
1 1 2
0 3 1
3 0 2
3 1 0
0 1 1
0 2 3
10 2
2 1 2
2 1 1
0 2 2
2 0 2
1 0 0
1 2 0
0 0 0
2 2 1
2 1 0
0 0 2
10 6
4 0 2
2 1 2
3 1 4
1 0 1
3 0 0
0 2 0
2 3 3
2 4 4
1 1 1
1 0 2
10 7
0 1 0
0 0 0
0 1 1
3 0 1
1 0 2
3 2 3
2 2 0
1 3 2
2 0 1
0 0 2
10 5
3 3 2
2 1 1
2 2 3
1 1 1
1 1 0
0 1 0
3 1 2
1 2 1
2 3 0
2 1 0
10 8
5 5 1
5 1 4
0 4 1
5 3 2
1 4 3
2 1 2
5 1 2
5 5 5
2 0 5
0 3 0
10 4
1 1 2
1 1 3
3 3 1
2 1 3
2 2 0
0 2 0
3 1 2
0 1 0
1 3 1
2 2 2
10 7
3 0 5
0 1 2
0 0 5
5 3 2
0 0 4
4 0 0
2 2 5
2 3 1
3 0 4
5 5 3
10 3
2 1 0
0 0 0
1 2 1
0 1 2
1 0 2
0 2 0
2 1 2
1 2 0
2 1 1
1 2 2
10 4
0 1 2
0 0 2
1 0 2
0 0 0
0 2 0
0 0 1
0 2 2
1 2 2
1 2 1
2 2 1
10 2
0 3 3
1 2 3
0 1 0
5 2 4
4 1 2
0 5 2
1 1 2
2 0 5
0 4 2
0 0 5
10 9
0 2 1
3 0 1
2 3 3
0 3 1
3 3 2
2 0 1
1 0 0
1 1 0
1 1 3
1 2 1
10 7
0 0 2
1 2 0
1 0 2
0 2 0
2 2 1
1 1 2
1 2 2
0 0 0
0 2 1
0 1 2
10 6
1 2 2
2 5 0
4 0 1
3 1 2
5 0 0
1 1 5
3 4 5
2 0 4
5 5 5
4 1 4
10 9
2 0 3
1 4 0
4 0 0
0 1 4
4 2 1
4 0 4
2 2 4
0 1 3
3 3 0
1 0 0
10 5
2 1 1
2 0 1
1 2 2
0 0 0
1 1 2
1 0 1
1 2 1
0 2 2
1 2 0
1 0 0
10 8
0 1 4
4 3 2
4 0 2
0 3 0
1 1 1
0 2 1
1 0 4
4 3 0
3 3 3
3 1 4
10 5
0 2 2
1 1 0
2 2 0
2 0 1
2 0 0
2 1 2
2 2 1
1 2 0
1 0 0
1 2 2
10 2
1 4 1
4 3 3
4 4 4
0 0 1
4 4 1
2 2 3
1 2 2
3 3 3
4 0 0
0 0 0
10 4
1 4 3
2 4 0
2 2 3
1 3 1
4 2 4
2 0 5
5 1 4
1 1 1
5 0 3
5 5 0
10 2
1 0 2
1 1 1
2 0 2
1 0 0
2 1 1
2 1 2
0 0 1
0 2 2
2 0 0
2 1 0
10 8
1 0 3
1 1 3
3 3 0
2 4 2
1 2 1
2 2 3
2 4 1
3 1 4
1 3 4
4 2 0
10 3
1 4 1
1 2 2
1 2 3
0 3 0
0 1 2
3 2 0
0 2 4
4 3 0
4 2 4
3 4 2
10 2
0 2 1
3 3 1
2 2 3
3 2 0
3 3 2
2 2 1
2 1 2
0 1 3
1 0 2
1 3 2
10 8
2 2 0
3 2 0
0 3 1
3 0 1
0 1 0
0 2 3
2 3 2
2 3 0
3 3 1
0 1 2
10 6
2 0 1
0 0 3
0 3 3
1 0 1
0 1 3
1 1 0
3 1 0
3 1 3
2 3 2
3 2 2
10 4
1 0 0
0 0 0
0 2 1
1 2 1
0 1 2
0 1 0
2 0 1
2 2 0
2 2 1
0 2 2
10 8
2 2 0
2 1 0
2 1 2
2 0 1
1 0 1
2 0 0
0 2 0
0 0 1
1 2 0
1 0 0
10 3
5 3 0
4 2 5
3 2 2
3 5 1
1 4 5
5 4 0
3 0 1
3 2 0
4 3 5
4 2 1
10 2
2 0 0
0 2 0
1 2 0
1 1 1
2 0 1
2 2 1
0 0 2
0 1 0
2 1 1
1 0 2
10 8
1 3 1
2 3 3
3 0 0
0 1 2
0 3 3
1 3 2
1 1 3
3 0 1
3 2 3
1 2 1
10 3
5 3 1
2 0 2
3 0 3
1 1 3
5 3 0
3 4 0
5 4 1
3 3 5
3 3 1
5 3 2
10 7
4 1 3
1 1 3
2 3 0
2 2 1
1 4 4
4 0 2
0 0 1
4 4 2
2 4 3
1 2 1
10 6
3 1 2
2 0 0
1 2 2
2 2 2
0 3 0
2 1 3
3 3 0
2 1 1
1 3 3
3 3 3
10 6
2 1 0
2 0 2
4 4 2
4 1 2
0 3 1
1 4 1
0 1 1
3 2 2
3 3 2
0 0 4
10 6
5 3 3
5 0 5
4 0 0
3 3 2
3 2 4
2 1 0
3 1 5
0 0 2
0 5 1
0 2 2
10 7
0 2 0
2 0 0
1 2 2
2 2 0
2 2 2
2 2 1
0 0 1
1 0 1
0 0 2
0 1 1
10 6
1 2 3
0 0 2
3 1 2
3 2 3
1 1 0
1 3 3
3 0 0
1 2 1
1 0 0
2 2 1
10 6
1 0 1
3 0 5
0 3 3
4 2 0
1 0 0
4 4 5
3 3 5
5 4 4
1 2 0
4 0 5
10 6
4 3 4
3 0 1
3 3 0
1 0 0
1 2 2
4 1 1
0 0 4
3 3 4
2 1 0
0 2 0
10 8
3 2 1
2 2 2
3 3 2
1 3 2
3 1 2
3 0 2
0 2 1
0 0 2
1 1 2
3 3 3
10 8
1 3 3
2 1 1
1 1 3
3 2 1
1 0 0
1 3 2
1 1 1
2 1 0
0 1 3
0 2 0
10 6
0 0 2
0 2 1
2 1 2
2 0 0
2 2 2
0 0 1
1 2 0
0 1 0
0 0 0
1 1 0
10 8
0 1 2
2 0 1
2 1 2
1 1 0
0 2 1
2 1 1
2 0 2
1 0 2
0 0 1
1 0 0
10 3
4 1 3
4 2 3
2 0 3
4 2 0
1 1 2
0 1 3
0 4 4
2 3 2
2 3 3
4 2 1
10 7
3 4 0
0 4 5
1 3 1
5 2 2
5 4 1
4 2 1
2 1 2
1 1 2
4 3 2
2 4 5
10 4
0 2 1
1 2 2
1 0 1
2 0 2
1 2 0
2 2 1
1 0 2
0 2 2
1 0 0
2 1 0
10 3
0 0 3
0 2 0
3 3 3
1 2 0
2 3 0
0 1 2
2 0 2
2 3 2
3 3 0
3 1 2
10 8
1 1 0
1 0 1
0 2 0
2 0 2
2 0 0
2 2 2
1 2 1
2 0 1
0 2 2
2 1 0
10 8
2 0 2
0 1 0
2 2 1
1 2 2
1 2 1
0 0 1
2 1 1
0 2 0
0 2 1
0 0 0
10 7
2 2 0
2 1 2
1 2 2
2 1 1
0 2 0
2 0 1
2 0 0
1 2 0
1 0 0
1 0 1
10 4
2 3 0
0 2 3
2 2 2
3 1 2
0 1 2
1 0 1
0 0 1
3 2 0
1 1 1
0 3 2
10 3
2 2 2
1 0 0
2 2 1
0 1 0
1 2 1
0 1 2
2 0 0
1 1 2
1 1 1
0 2 2
10 6
0 0 0
0 0 1
0 2 1
3 2 3
3 0 2
0 1 2
0 3 1
2 2 0
3 2 0
3 1 0
10 8
2 2 3
0 1 1
0 1 3
2 2 1
0 0 2
3 1 2
3 0 1
1 0 2
3 1 1
0 2 2
10 9
1 1 2
1 2 2
2 2 1
1 2 0
2 0 1
3 1 0
3 1 1
0 2 1
2 0 2
3 0 1
10 4
2 2 3
0 1 1
0 1 3
0 2 3
2 2 2
0 2 0
2 0 3
2 3 3
2 1 0
0 1 0
10 5
2 3 0
0 5 1
3 2 2
5 3 4
1 0 0
0 4 4
5 3 1
4 5 4
2 4 2
5 0 2
10 9
1 2 2
3 3 0
2 5 3
1 4 2
5 2 2
0 5 2
2 5 5
0 5 4
0 2 5
3 2 4
10 6
1 1 1
1 5 0
4 5 1
4 5 3
4 3 1
0 1 3
1 4 2
4 2 3
1 5 3
0 5 1
10 4
0 1 0
2 2 0
2 0 0
1 2 0
2 2 2
0 2 2
1 1 1
1 2 1
1 0 2
1 1 0
10 3
2 1 0
2 0 0
0 2 3
0 1 2
0 3 0
1 3 3
2 2 2
0 1 1
0 0 2
3 3 3
10 7
2 4 2
1 2 0
1 4 0
1 1 2
2 1 4
0 3 1
0 2 1
3 0 3
1 0 1
2 0 2
10 5
1 2 1
1 2 2
2 1 0
0 1 2
0 0 1
1 1 2
1 2 0
2 2 0
2 0 1
2 2 2
10 4
2 3 4
0 0 3
0 5 5
3 5 2
3 2 4
4 4 3
0 2 2
5 1 0
3 3 3
3 1 1
10 5
0 5 5
2 3 4
4 3 0
5 5 0
1 1 0
1 4 0
3 1 4
2 2 4
3 4 1
5 4 2
10 5
0 4 2
0 3 3
1 1 2
1 4 0
4 4 3
4 3 3
0 3 1
3 3 3
1 1 0
1 2 3
10 5
0 0 3
1 4 4
3 3 1
1 3 1
0 3 0
3 3 3
3 2 4
4 4 4
4 3 0
1 1 3
10 8
3 4 0
0 1 3
4 3 0
4 0 4
0 0 0
1 0 4
4 0 1
1 1 1
4 1 3
4 1 1
10 6
0 1 2
2 2 1
2 1 0
0 0 0
2 1 1
1 0 1
1 0 2
1 1 2
0 0 2
0 2 0
10 2
2 0 3
2 3 1
0 0 1
0 0 3
1 3 0
1 0 1
1 1 1
2 0 1
1 2 2
0 2 3
10 7
0 0 4
0 2 1
3 1 3
2 4 3
1 4 0
2 1 2
1 1 1
3 2 3
3 3 3
3 1 0
10 4
1 0 1
2 0 1
1 2 0
1 1 1
0 2 2
0 0 1
2 2 1
0 0 2
0 1 1
1 1 2
10 3
2 0 2
2 2 2
1 2 0
0 1 1
0 1 0
2 2 1
1 1 1
1 0 1
1 2 2
1 0 0
10 5
4 3 2
0 3 3
4 1 3
2 0 1
4 3 4
3 3 1
3 0 0
1 3 1
1 4 2
4 3 0
10 5
1 3 4
1 1 4
0 1 4
2 0 3
1 0 0
1 2 2
1 1 2
1 1 0
2 4 0
3 2 3
10 7
4 5 2
2 2 3
2 1 5
5 0 1
1 3 5
3 5 3
2 2 0
1 5 3
1 4 4
1 1 2
10 4
3 3 4
1 2 2
3 1 2
4 0 3
0 3 3
0 4 3
2 1 1
2 3 1
1 4 3
2 3 2
10 2
2 2 2
1 0 0
2 1 0
2 0 0
1 1 0
0 1 1
2 2 1
1 1 1
1 0 2
1 1 2
10 8
3 2 2
0 2 3
3 3 0
3 3 2
3 0 1
1 2 3
0 0 2
2 1 2
2 0 3
1 1 2
10 6
2 4 0
0 5 3
4 4 2
0 2 3
0 5 5
5 5 1
0 5 4
3 5 4
3 5 5
0 3 1
10 7
1 2 0
4 1 1
1 4 4
0 4 2
1 4 3
3 4 4
0 2 4
2 0 1
2 2 1
0 4 4
10 2
2 3 3
2 2 1
2 3 0
2 3 1
2 3 2
3 2 3
2 1 3
0 2 1
3 2 1
1 1 3
10 9
0 3 0
2 2 1
0 3 3
3 2 3
1 0 3
3 1 2
2 3 3
2 0 1
3 3 3
0 0 1
10 9
2 1 0
2 0 0
0 0 1
0 1 0
0 0 0
1 2 2
2 2 1
2 1 1
1 0 1
2 0 1
10 8
2 4 1
2 0 2
1 2 0
2 0 1
1 1 2
2 1 2
4 0 1
2 2 2
0 1 3
1 1 0
10 9
0 2 2
1 2 2
2 3 1
3 0 3
3 0 2
0 2 1
0 1 0
1 2 0
1 3 2
1 2 1
10 3
3 2 2
3 1 2
2 1 1
3 3 0
3 3 3
2 3 2
2 0 1
0 2 0
2 1 2
1 1 1
10 7
0 4 2
4 4 3
4 3 4
0 3 4
3 1 2
2 3 4
1 2 3
3 3 3
0 0 4
4 0 1
10 9
1 2 2
1 0 1
2 1 0
0 2 0
2 0 2
1 1 2
0 1 2
1 1 0
0 2 1
2 0 1
10 9
0 2 2
1 0 1
1 2 1
2 2 2
0 1 1
2 2 0
0 2 1
2 1 2
2 0 2
0 0 1
10 7
1 2 1
1 0 0
0 2 2
2 2 0
0 0 1
1 1 2
1 2 2
0 1 2
1 0 1
2 0 1
10 9
4 1 0
0 0 5
2 2 1
5 2 1
4 1 1
1 5 2
4 5 4
5 4 3
5 1 4
1 0 2
10 4
2 0 2
2 0 1
0 0 1
0 2 0
1 2 0
2 1 2
2 2 2
1 0 2
2 0 0
1 0 0
10 9
2 1 2
0 1 2
0 1 1
1 2 2
0 0 2
0 0 1
1 1 1
1 0 1
2 0 1
2 1 1
10 5
2 3 1
4 4 4
4 1 3
2 1 3
3 1 0
0 0 2
1 4 3
4 3 0
1 1 1
3 3 1
10 8
0 0 0
1 1 1
1 2 1
1 0 1
2 1 1
0 0 1
2 0 0
2 2 2
2 2 1
1 0 0
10 5
0 2 1
2 1 2
1 2 0
2 1 0
2 0 1
0 0 2
1 1 1
2 2 0
2 0 0
2 2 2
10 9
2 1 1
1 1 2
1 2 0
0 2 2
2 1 2
2 1 0
0 1 0
1 0 1
2 0 0
1 2 1
10 5
0 0 4
1 1 4
4 2 1
2 0 4
3 4 0
0 4 1
2 2 4
1 1 1
2 2 2
4 4 2
10 9
2 0 2
1 0 1
2 1 0
1 1 2
0 1 2
1 0 0
0 0 0
2 2 2
0 2 1
0 1 0
10 7
0 3 3
3 2 3
2 2 1
2 1 5
0 1 4
4 3 5
3 2 1
0 4 1
3 4 2
1 1 1
10 2
0 3 1
0 4 5
1 0 3
2 5 3
4 3 2
4 5 0
2 5 4
4 4 1
2 2 5
5 0 5
10 8
4 3 3
0 1 3
2 4 0
2 0 3
1 4 4
3 0 2
4 4 5
0 4 0
1 0 0
3 0 0
10 9
4 0 5
0 2 2
2 5 3
0 3 5
0 2 5
3 3 4
5 5 4
4 4 0
4 5 0
3 4 0
10 3
4 2 2
4 1 2
1 3 3
2 1 3
1 2 4
3 1 0
4 0 2
1 2 3
3 3 2
2 1 0
10 9
0 2 1
0 0 1
0 1 2
0 3 0
0 2 3
1 0 2
1 0 3
1 3 3
3 0 3
0 1 1
10 4
1 1 2
1 2 1
0 1 0
1 1 0
1 1 1
2 0 1
1 0 0
1 2 0
1 2 2
1 0 2
10 3
0 5 0
3 3 5
1 0 2
5 5 3
2 4 2
3 3 4
5 0 5
2 5 4
2 1 0
5 1 2
10 6
0 1 0
2 0 0
3 0 2
2 1 0
1 2 0
2 3 3
0 1 1
1 3 2
0 0 0
1 0 1
10 6
2 0 2
2 0 1
0 0 0
2 1 1
2 2 1
1 0 1
1 1 1
1 2 1
1 1 0
0 0 2
10 7
0 3 2
2 0 2
0 3 0
0 0 3
0 2 2
3 2 2
1 0 2
2 1 2
3 1 1
2 3 1
10 9
0 3 1
2 1 0
2 2 0
2 3 1
1 3 1
4 0 0
2 0 0
3 0 0
0 3 0
3 1 1
10 9
0 0 3
2 3 0
1 1 0
0 3 2
2 1 0
1 3 3
0 2 2
2 0 0
0 0 0
3 2 3
10 6
4 0 3
4 2 1
4 3 0
3 1 2
3 4 4
2 4 3
2 4 2
1 1 3
3 3 0
2 0 0
10 7
4 2 0
0 1 1
0 4 0
3 4 3
2 3 0
1 2 5
4 5 3
2 1 2
3 5 4
3 0 0
10 8
3 3 4
4 5 0
1 0 4
1 2 3
1 2 0
4 2 4
5 4 0
5 2 3
0 2 4
3 4 1
10 2
0 0 1
0 2 2
2 1 2
0 0 0
2 1 0
2 2 1
2 2 0
2 0 1
1 1 2
2 1 1
10 9
0 2 1
1 1 1
1 2 2
2 1 1
0 2 2
2 2 2
1 1 2
2 1 0
0 2 0
0 1 0
10 2
5 0 5
1 2 5
2 5 3
5 1 0
5 3 1
1 3 3
4 4 4
0 0 1
2 3 3
2 2 5
10 4
1 2 1
2 3 1
2 2 0
0 2 3
0 0 1
3 1 0
3 1 2
0 0 0
1 3 3
1 3 0
10 4
1 1 1
0 1 2
1 2 2
2 0 2
1 2 0
0 1 0
2 1 2
2 1 1
1 0 0
1 0 1
10 8
3 2 0
1 2 2
0 2 0
3 1 3
1 1 0
2 0 1
2 1 1
2 0 3
1 0 0
1 1 3
10 3
2 2 0
1 1 1
0 0 0
0 0 2
1 2 2
2 0 2
2 1 0
1 2 0
2 1 1
1 0 1
10 9
2 2 3
4 4 3
4 1 1
5 4 3
3 1 2
0 1 2
5 1 0
0 5 4
0 0 3
5 2 5
10 5
0 3 0
3 3 2
2 1 0
2 0 2
2 1 2
2 2 1
1 0 0
0 0 2
1 3 3
2 0 1
10 8
2 1 1
0 1 1
2 0 0
1 1 2
2 0 2
0 0 0
2 2 0
1 2 2
2 1 2
2 1 0
10 6
0 5 1
2 0 4
4 0 3
1 5 4
0 1 4
0 4 2
1 5 1
5 1 5
2 3 2
0 5 3
10 5
2 2 2
3 1 0
0 2 3
1 2 3
1 0 1
0 3 0
3 2 3
3 1 1
3 3 1
1 0 2
10 5
5 0 3
2 5 2
2 2 2
5 2 3
5 2 1
2 1 3
3 3 0
0 1 0
3 4 4
2 3 1
10 4
5 1 4
4 5 4
3 2 4
3 1 0
1 2 5
5 4 5
5 1 0
0 2 0
4 4 3
4 2 5
10 5
0 1 2
1 1 0
2 2 0
0 2 1
1 2 2
0 2 0
2 2 1
0 0 1
2 1 1
1 1 1
10 5
1 1 2
2 1 2
4 3 0
3 2 1
0 2 2
3 4 4
1 3 2
3 0 3
3 3 4
1 2 1
10 6
1 2 0
3 0 1
3 4 4
0 0 0
4 0 5
2 2 0
4 5 4
5 4 5
5 3 1
1 1 1
10 2
2 2 0
0 1 2
0 0 0
2 1 1
0 2 0
2 0 1
0 1 1
2 0 0
1 1 2
0 0 1
10 3
0 2 1
0 4 1
3 1 4
0 2 0
3 2 1
3 0 2
4 1 3
2 4 4
3 2 0
2 2 0
10 6
4 2 1
1 1 3
2 1 4
1 2 1
1 3 0
1 4 2
5 5 0
4 3 2
2 5 5
3 0 1
10 7
1 2 0
4 5 2
4 5 0
3 4 2
2 1 2
0 4 1
0 3 3
0 3 0
3 1 0
5 0 4
10 6
4 1 0
0 0 3
2 1 0
4 0 2
3 1 4
4 3 2
0 3 2
2 0 1
1 1 1
4 2 3
10 9
1 1 0
2 2 2
1 1 1
0 0 2
1 2 2
2 0 2
2 0 0
1 0 2
0 1 0
2 1 2
10 5
2 1 0
3 0 2
4 4 3
4 0 4
4 3 0
0 1 1
3 1 1
3 4 2
1 2 4
4 1 1
10 5
3 2 1
2 4 0
4 2 4
0 4 4
1 1 0
3 4 3
0 2 1
4 0 4
1 3 4
2 0 2
10 2
0 2 4
1 3 3
0 0 2
3 0 1
4 2 1
2 1 3
1 0 2
2 2 3
0 2 0
0 4 0
10 5
2 4 1
3 5 2
4 4 0
1 3 4
1 5 3
0 0 1
0 5 3
0 2 4
4 4 5
4 1 5
10 4
2 5 1
3 4 0
3 1 1
0 3 5
0 5 1
2 1 4
4 0 2
5 0 5
1 0 3
2 4 2
10 7
3 1 0
0 3 2
1 1 0
1 4 1
0 4 0
0 4 1
3 3 1
1 2 4
2 4 1
2 0 2
10 6
0 0 1
2 1 1
1 3 1
0 1 3
2 1 2
2 2 2
1 1 2
3 2 3
0 0 2
3 0 1
10 5
4 2 4
3 5 2
2 5 4
5 1 0
0 0 2
1 2 4
2 5 3
0 2 1
1 4 3
4 3 1
10 8
4 0 1
3 2 0
4 4 4
3 3 0
4 3 2
2 0 3
2 3 2
0 3 2
3 2 3
1 2 0
10 2
4 3 3
0 0 0
2 2 0
3 2 3
2 2 3
0 0 1
0 3 1
4 3 1
3 4 0
2 0 4
10 2
1 0 3
3 2 0
1 0 2
1 3 0
0 0 3
0 1 3
2 1 1
2 3 0
3 3 0
1 3 3
10 7
3 2 1
2 3 0
3 4 2
2 0 4
2 4 2
2 3 2
4 1 1
0 0 4
3 3 4
3 1 1
10 3
2 2 4
0 1 4
0 2 4
4 4 2
1 0 2
0 0 1
4 1 0
1 1 4
0 3 1
0 0 3
10 3
2 4 3
3 2 4
2 1 0
0 2 4
4 3 4
1 1 2
2 0 2
0 0 3
2 2 0
3 0 4
10 5
3 1 0
3 0 3
1 2 2
0 3 0
0 1 0
0 0 3
1 0 1
1 0 0
3 3 1
0 1 1
10 3
2 4 5
1 5 5
4 1 5
2 3 5
5 4 5
1 0 3
4 4 0
2 3 2
0 2 0
2 3 4
10 2
1 1 0
2 0 3
1 3 0
1 2 3
0 1 1
1 1 1
1 0 2
3 0 1
0 0 1
3 0 2
10 7
0 3 3
3 2 1
1 0 0
3 3 0
3 1 2
2 0 0
1 1 3
1 2 3
2 0 2
1 3 0
10 9
0 0 3
3 4 1
0 0 0
3 0 3
0 3 2
2 2 3
3 4 4
3 1 4
3 1 3
4 2 4
10 6
1 2 1
0 2 1
1 1 2
1 1 0
2 1 2
1 1 1
0 2 0
1 0 1
2 0 2
0 0 1
10 9
1 0 0
1 1 1
2 0 2
2 1 2
0 1 1
0 2 0
0 0 2
0 0 1
1 2 1
2 0 0
10 7
0 0 1
2 1 0
1 0 1
1 2 0
2 0 0
2 1 2
1 1 1
0 1 1
1 0 2
0 0 2
10 7
0 0 0
1 2 2
0 1 3
1 4 2
3 3 4
0 0 4
1 3 2
1 3 0
1 4 4
4 3 0
10 7
5 1 1
1 1 1
0 5 4
0 1 4
1 1 3
0 3 0
5 5 3
0 4 5
4 1 0
2 1 1
10 7
0 4 0
0 0 2
3 4 1
0 2 3
0 4 2
3 3 0
4 4 0
3 2 2
4 3 3
1 2 3
10 2
0 4 0
0 1 0
0 3 2
0 2 0
1 4 2
1 4 3
0 3 4
1 4 1
0 0 2
2 0 1
10 3
1 2 2
4 2 2
3 3 5
2 3 4
1 3 3
1 5 2
1 1 1
0 3 2
3 0 3
0 5 3
10 2
1 1 1
0 1 2
0 2 2
2 1 0
1 1 0
1 2 2
0 1 3
2 2 1
1 3 1
1 0 0
10 8
3 0 3
1 1 1
1 2 0
1 1 0
0 4 1
1 1 3
2 0 3
0 2 2
4 0 0
4 1 4
10 4
1 2 2
2 4 4
0 1 2
3 2 4
4 4 3
4 3 2
4 1 0
4 4 2
3 4 1
3 4 2
10 8
0 1 1
0 2 1
2 2 0
2 1 1
1 1 1
2 0 0
1 0 0
1 0 1
2 2 1
2 2 2
10 5
0 4 2
1 1 1
3 2 1
3 0 3
4 2 0
2 4 3
2 4 4
0 4 1
4 4 3
0 3 4
10 9
1 0 1
0 0 1
2 2 2
2 1 0
2 0 0
2 0 1
0 2 1
0 0 0
1 2 0
2 1 2
10 7
3 0 5
0 4 1
4 1 3
2 3 5
5 2 3
2 1 2
1 1 1
3 5 1
2 5 1
4 2 4
10 2
2 4 2
4 3 2
2 3 0
2 4 3
1 2 3
0 3 4
0 4 0
1 4 4
1 3 2
4 0 0
10 9
0 0 0
2 1 2
2 2 0
2 0 1
2 2 2
1 1 2
1 2 1
0 0 2
1 0 0
1 2 0
10 9
2 1 0
1 3 1
4 4 3
4 0 0
3 3 4
3 4 3
4 1 4
2 4 0
0 2 0
0 2 3
10 5
3 1 0
0 4 2
0 0 0
1 4 4
0 2 0
4 4 4
0 1 2
4 3 4
4 2 0
3 4 2
10 6
0 0 4
5 4 1
0 1 4
4 3 5
2 0 5
4 2 2
1 0 5
1 1 1
4 4 2
2 5 4
10 2
2 3 3
3 4 2
2 5 4
2 0 1
0 3 3
4 3 1
4 3 2
2 5 2
1 4 2
5 3 1
10 2
3 1 5
5 4 3
0 1 0
2 2 2
1 4 5
5 1 1
0 1 5
0 2 4
0 4 2
4 2 2
10 3
2 2 2
1 1 0
2 1 1
0 2 1
0 0 0
1 2 0
0 0 1
2 2 1
0 1 1
1 0 0
10 6
1 3 3
0 0 3
2 1 1
0 2 0
2 1 0
2 0 2
3 0 1
1 2 1
1 1 2
0 0 2
10 6
1 2 3
3 3 4
1 2 1
0 3 0
2 4 0
2 4 3
1 0 4
3 0 3
0 1 2
3 3 3
10 8
4 2 2
4 2 4
2 4 2
4 1 3
1 3 2
4 4 4
2 4 1
3 1 3
0 2 1
1 2 1
10 5
4 2 0
3 4 0
0 3 3
0 1 3
0 4 2
3 1 3
0 0 1
0 4 1
3 3 1
1 4 0
10 5
0 1 0
2 0 3
2 3 1
3 1 2
1 0 1
0 1 2
3 3 2
0 2 3
3 1 1
1 3 1
10 5
2 3 1
4 2 0
3 5 1
5 1 1
5 2 1
5 4 5
5 3 3
5 5 5
2 0 5
0 3 0
10 3
3 2 1
0 1 2
2 1 1
1 1 2
2 3 3
0 1 1
2 2 2
2 0 0
2 1 0
0 1 0
10 6
1 1 1
0 0 1
0 1 2
2 0 2
2 2 2
1 2 1
2 2 1
0 2 0
1 1 0
1 0 0
10 3
2 2 3
0 3 1
0 3 3
3 0 0
1 3 1
2 0 1
1 1 0
2 0 0
1 1 2
2 2 2
10 2
2 0 1
0 2 2
1 1 0
2 1 1
2 0 2
1 1 2
2 2 1
2 0 0
2 2 0
1 2 2
10 4
0 0 3
4 4 1
4 4 3
2 2 0
0 2 1
3 2 4
4 1 0
2 1 2
0 3 1
1 1 3
10 3
2 2 0
3 0 0
2 1 3
0 1 0
1 1 0
1 2 2
1 0 2
3 0 2
3 3 0
3 3 2
10 9
3 2 0
3 4 1
3 4 3
1 1 1
1 0 3
1 3 3
0 0 4
3 3 2
1 1 4
2 1 3
10 7
0 2 0
0 0 1
1 2 0
1 0 0
0 1 0
2 0 0
1 1 1
2 1 1
0 2 1
1 1 0
10 4
0 3 4
1 0 1
5 4 0
3 3 2
2 2 1
0 4 5
2 1 4
2 0 0
3 5 4
0 1 2
10 6
2 0 1
0 5 4
1 0 5
2 4 5
5 2 1
4 3 1
2 5 1
0 3 5
2 1 4
3 0 0
10 6
2 3 5
0 0 3
3 4 1
4 4 2
0 5 5
4 2 4
5 3 0
3 2 1
5 0 0
3 3 3
10 3
0 3 4
3 4 4
4 4 4
3 1 4
3 1 1
1 4 1
3 2 4
1 3 1
0 4 4
0 0 3
10 4
2 2 0
0 0 2
0 1 2
0 2 1
1 1 1
2 0 2
1 2 1
2 1 0
1 0 2
1 0 0
10 2
1 0 0
0 1 1
2 4 0
3 4 2
1 3 1
4 2 0
1 4 2
0 0 4
3 4 0
4 4 4
10 8
2 1 2
2 1 0
1 1 2
0 1 2
2 1 1
2 0 1
1 0 2
0 2 0
0 1 0
2 0 0
10 2
3 3 0
2 3 2
2 2 0
1 0 3
0 2 3
1 3 1
0 1 2
3 0 3
1 2 2
1 1 2
10 4
2 2 0
2 0 2
0 0 1
1 0 1
2 0 1
0 1 1
1 2 2
2 0 0
0 2 0
0 1 0
10 5
0 3 2
0 2 0
4 3 0
4 1 3
3 4 0
4 3 3
4 4 2
0 1 3
3 4 2
2 4 1
10 6
2 2 0
3 5 3
0 1 2
2 2 1
3 0 1
1 2 1
0 3 3
2 3 3
5 3 3
1 2 0
10 5
1 0 2
0 0 1
1 1 0
0 0 0
3 1 2
0 1 2
1 0 3
0 1 0
0 3 2
3 1 0
10 3
2 0 0
2 0 1
0 3 3
3 0 0
1 0 3
3 2 2
2 3 0
3 2 0
0 2 3
0 3 2
10 5
3 2 4
0 3 4
4 3 0
3 4 0
1 0 3
3 1 4
2 2 2
2 1 3
0 2 2
0 4 3
10 3
2 0 4
1 3 2
0 4 4
2 4 0
3 2 4
3 0 0
1 1 0
0 4 3
1 2 2
1 1 1
10 9
1 2 4
0 4 3
4 0 1
0 3 0
2 1 4
1 3 2
3 3 1
3 1 0
1 1 2
4 2 0
10 3
2 1 3
0 0 0
2 4 1
0 0 3
1 0 2
0 3 4
1 0 3
4 2 5
4 4 4
2 3 3
10 9
1 2 0
0 2 0
0 1 0
1 0 0
0 1 3
2 1 2
1 1 1
0 1 2
2 3 2
0 0 1
10 7
1 0 3
2 2 1
4 1 3
2 1 3
1 1 2
0 4 4
4 4 4
0 1 4
0 3 0
3 1 3
10 4
2 0 1
0 1 0
2 1 1
1 0 2
2 1 0
1 0 0
0 1 2
1 1 1
1 2 0
0 2 0
10 8
2 1 1
4 1 0
4 2 4
3 3 3
3 1 2
0 3 1
2 2 2
0 2 2
1 4 0
4 3 4
10 5
4 3 3
1 0 2
1 3 0
2 3 1
1 3 4
2 3 3
1 0 0
0 2 2
2 4 2
4 0 3
10 3
2 1 3
1 2 2
1 0 0
0 1 2
2 1 2
1 1 0
1 3 2
1 3 1
3 3 2
0 3 3
10 9
0 2 0
1 1 2
1 1 0
0 2 2
0 0 2
0 1 2
2 2 0
1 2 1
2 0 0
0 2 1
10 5
0 2 1
1 5 0
0 0 1
1 2 4
5 4 3
3 5 1
2 2 2
5 4 5
5 4 2
1 5 5
10 2
0 4 3
4 4 2
2 1 1
2 2 2
4 0 2
3 4 2
5 1 3
4 5 1
4 2 3
4 1 5
10 5
3 3 3
0 2 4
2 1 4
2 0 2
0 4 3
3 0 0
3 2 4
3 2 1
1 3 3
2 0 4
10 9
3 3 1
3 4 2
1 1 1
4 2 2
1 4 4
2 1 1
0 1 3
4 3 1
1 1 3
4 3 0
10 9
3 2 4
5 2 0
2 4 2
3 2 3
5 1 4
0 1 3
2 1 3
4 4 4
3 5 1
2 0 1
10 9
3 3 2
4 1 3
3 4 4
4 5 5
5 0 1
0 4 2
5 1 0
5 3 4
4 1 5
0 3 0
10 4
2 0 0
2 3 1
2 2 3
0 2 1
1 0 1
0 2 2
1 3 1
0 3 2
0 1 0
0 0 2
10 9
2 2 3
1 1 0
3 3 3
2 1 0
2 0 1
3 1 0
0 2 1
1 1 1
0 2 2
1 0 0
10 2
1 0 1
3 3 2
1 3 0
3 1 1
2 2 3
2 2 4
2 5 3
1 5 3
0 5 1
0 3 3
10 4
1 1 0
3 0 2
3 3 0
1 0 1
3 2 2
0 0 3
2 2 0
3 1 3
0 3 1
1 2 1
10 9
2 3 4
4 4 2
1 1 2
2 5 5
2 1 4
4 2 3
3 0 3
0 1 2
5 3 0
5 0 2
10 9
4 1 2
3 0 3
3 1 4
1 4 0
2 0 1
1 1 0
3 0 0
0 4 4
1 3 0
2 3 3
10 9
2 2 0
1 1 2
1 2 2
0 1 0
0 2 1
2 1 0
1 1 1
2 0 0
2 2 1
1 0 2
10 6
0 2 0
1 0 1
3 2 3
1 0 2
2 2 2
3 0 0
1 2 1
0 0 3
0 1 0
1 0 3
10 4
1 3 1
2 2 1
2 3 0
2 3 3
3 1 0
2 1 1
0 1 0
1 2 0
0 0 1
1 1 3
10 6
4 1 4
0 2 5
5 1 4
3 0 4
4 0 3
2 5 4
3 1 5
5 4 2
0 5 3
3 0 3
10 7
3 2 1
1 1 1
1 2 4
2 2 4
0 4 0
0 4 2
4 4 3
4 1 2
0 1 1
2 2 0
10 8
2 4 1
1 4 1
0 1 4
4 4 3
0 2 4
0 4 0
2 1 3
2 3 0
3 2 0
3 4 2
10 2
3 3 2
1 0 1
3 2 1
1 2 2
3 1 1
3 2 0
1 3 3
2 1 1
1 3 2
0 1 1
10 6
3 2 2
4 3 4
1 3 4
3 4 1
0 4 1
2 3 4
3 4 0
1 1 3
3 1 1
1 0 4
10 7
0 1 1
2 1 1
1 0 1
1 1 1
2 0 2
0 0 0
0 1 0
0 2 0
2 2 0
0 0 2
10 8
2 2 2
2 0 0
1 2 1
1 1 0
1 2 0
2 1 2
2 1 0
2 2 0
0 1 1
1 2 2
10 4
0 1 3
2 3 0
2 5 2
3 3 4
1 5 0
4 4 1
0 5 5
1 2 4
0 2 1
3 4 3
10 5
0 3 1
3 3 2
0 2 1
2 2 2
2 0 0
3 2 0
1 2 2
2 0 3
2 1 2
1 0 1
10 9
3 5 2
2 1 5
4 0 1
3 1 4
2 4 3
1 5 0
1 4 4
1 4 2
4 3 3
3 3 1
10 3
3 2 4
1 1 2
4 2 4
3 2 0
2 4 0
1 4 4
4 1 1
0 4 1
0 1 4
0 1 0
10 8
2 2 1
1 0 0
0 1 2
0 0 2
2 0 1
2 0 0
1 1 2
1 0 2
0 1 0
1 1 0
10 9
0 2 1
2 1 0
1 2 0
1 1 1
0 0 0
0 0 1
1 0 2
0 2 0
2 0 2
2 0 1
10 8
4 2 1
3 2 3
2 4 0
0 2 1
1 1 0
0 3 3
1 2 1
2 4 1
4 3 1
4 4 3
10 8
2 3 0
0 0 2
2 3 3
1 2 2
0 0 3
3 3 0
2 3 2
1 2 1
1 3 3
3 1 1
10 9
2 3 4
2 2 2
5 1 2
5 0 0
2 1 4
4 3 5
3 0 1
3 5 1
5 5 1
5 1 3
10 9
0 2 0
0 1 1
1 1 2
1 0 1
2 1 0
0 0 0
0 0 1
2 0 0
0 1 0
1 2 0
10 6
3 1 0
1 0 1
2 0 3
2 3 0
1 1 2
1 0 2
3 3 0
2 1 2
3 2 3
1 1 3
10 9
1 0 5
1 5 0
5 2 2
5 5 4
5 3 3
2 1 5
3 1 0
2 2 4
3 4 3
4 0 2
10 4
3 1 0
0 0 1
1 0 1
2 0 1
2 1 2
0 1 0
3 1 1
3 1 2
3 3 0
0 1 2
10 3
0 2 1
0 3 0
0 2 3
1 3 1
0 0 1
1 1 3
2 3 1
2 0 0
1 2 1
1 2 0
10 8
2 0 3
2 3 3
1 3 0
1 3 3
1 2 3
0 3 2
0 1 1
2 2 0
0 0 1
1 3 2
10 3
3 3 2
1 0 1
3 3 1
3 0 3
0 0 1
3 1 1
2 3 0
1 0 2
0 3 2
1 2 1
10 6
2 0 2
1 1 2
0 1 0
2 0 0
0 0 0
1 0 2
2 1 0
2 1 2
0 0 1
2 0 1
10 9
0 4 4
1 0 3
0 1 2
5 4 2
0 4 2
5 0 4
3 5 4
3 4 2
3 3 4
4 4 1
10 9
3 0 4
3 4 0
3 2 2
0 3 3
4 2 3
0 0 0
0 2 3
1 0 4
3 4 3
4 0 0
10 7
1 3 2
2 2 0
0 1 0
2 1 3
2 2 2
0 2 2
1 1 0
3 3 2
0 2 0
2 1 1
10 7
4 3 4
0 5 5
0 4 4
5 2 4
3 4 5
5 0 1
3 2 0
0 0 0
1 5 3
2 5 2
10 5
0 1 1
1 1 0
1 0 1
1 1 1
2 0 1
0 1 0
1 2 0
0 2 2
1 2 2
0 0 2
10 4
5 1 4
0 4 2
1 5 0
2 2 2
0 1 0
4 2 1
1 3 5
0 0 4
5 2 1
4 0 5
10 7
2 4 0
1 4 4
2 1 1
2 3 2
3 3 0
1 2 4
2 3 4
4 0 0
2 2 0
2 1 4
10 6
4 4 4
2 0 1
2 1 0
1 0 4
3 0 2
4 4 1
1 4 2
4 4 0
4 3 1
2 3 3
10 6
0 3 5
2 4 2
5 3 5
3 2 0
3 5 3
5 3 1
5 3 2
2 3 5
4 1 4
3 0 3
10 3
0 1 2
2 2 0
1 0 1
2 2 2
1 1 1
1 0 2
2 2 1
2 1 0
1 1 0
2 1 2
10 9
3 0 4
3 5 4
5 5 5
2 3 0
3 2 5
0 1 4
0 3 3
1 4 4
0 2 3
5 2 3
10 5
0 0 1
0 2 1
0 1 1
2 2 1
2 1 0
2 1 1
0 0 2
1 2 0
2 2 2
1 1 1
10 9
1 0 3
1 1 2
1 2 0
1 3 1
1 0 1
0 0 0
2 2 2
3 2 1
3 0 0
3 1 2
10 2
1 3 3
3 2 0
1 3 1
3 2 1
2 2 1
3 2 2
2 0 0
0 2 3
0 0 0
3 0 0
10 7
2 2 3
3 5 1
3 0 2
2 2 5
0 5 3
2 5 3
1 4 5
0 3 0
0 5 4
4 4 3
10 5
3 0 1
3 3 0
3 1 2
1 1 3
0 2 0
3 2 2
0 3 1
1 2 0
0 0 3
3 3 2
10 6
0 0 1
0 2 0
2 2 2
1 2 2
2 1 1
1 2 1
2 0 1
2 1 2
1 0 1
0 2 1
10 6
2 2 1
2 0 2
1 2 2
2 0 0
0 2 1
1 1 1
0 2 2
2 2 0
1 1 2
0 1 1
10 8
1 0 3
3 2 3
2 1 2
1 0 0
1 3 1
1 2 3
1 1 3
0 0 3
2 0 0
1 3 0
10 5
1 2 2
1 0 0
2 1 2
1 0 2
1 1 2
0 0 2
2 1 0
0 1 0
0 0 1
0 2 2
10 2
2 4 4
4 1 2
3 1 3
1 1 4
1 2 0
0 4 0
0 1 5
3 3 5
1 4 0
0 2 4
10 7
0 3 1
1 3 4
4 2 4
4 0 2
4 3 1
0 3 2
1 0 3
3 4 4
1 1 2
0 0 0
10 6
2 1 1
0 2 1
1 1 1
0 2 2
1 0 1
2 2 0
0 0 1
1 1 2
1 0 2
1 1 0
10 7
0 3 3
0 3 2
4 4 1
2 4 3
2 2 2
4 1 4
1 4 0
3 1 4
0 1 0
2 0 2
10 5
3 3 2
1 1 2
1 1 0
2 0 1
3 2 0
0 2 0
1 0 2
2 2 1
2 3 0
1 0 1
10 8
5 3 1
2 3 5
5 3 5
0 5 0
2 0 4
1 1 5
3 2 5
3 4 0
0 5 3
5 3 0
10 5
0 3 3
3 2 2
1 0 1
1 0 3
0 1 3
3 2 1
0 3 1
2 0 1
2 1 2
1 3 2
10 5
2 2 0
2 3 0
1 3 1
4 2 3
4 3 1
4 4 4
2 3 3
3 1 2
4 2 0
0 3 2
10 2
3 0 5
2 0 0
2 4 1
5 1 5
4 4 5
0 3 5
3 2 1
4 5 4
4 0 5
4 1 4
10 4
1 2 0
2 2 2
0 1 1
0 0 0
0 2 1
2 1 1
2 0 2
0 2 2
2 0 1
1 1 2
10 2
3 4 1
3 0 2
2 2 4
4 2 2
2 1 0
0 2 2
3 0 1
2 1 1
2 3 1
1 4 0
10 4
1 4 2
0 4 2
0 3 5
1 1 1
3 4 5
5 2 4
2 3 5
3 5 4
4 5 3
5 1 0
10 7
0 5 4
0 5 0
4 4 0
3 5 5
5 4 3
0 4 3
5 2 3
4 3 0
1 0 2
4 4 1
10 5
3 1 0
2 2 4
3 4 0
4 4 4
4 4 1
0 1 3
4 4 2
0 1 1
1 3 2
3 3 1
10 6
2 0 0
3 1 2
2 0 3
1 3 0
3 1 0
0 2 3
0 3 3
1 0 3
3 2 0
0 0 0
10 5
1 3 3
3 4 3
2 3 1
3 4 2
3 1 2
3 1 3
1 4 0
2 4 1
3 2 0
1 2 3
10 3
0 2 0
2 4 3
2 1 4
3 0 1
4 4 0
2 1 0
0 4 3
4 2 3
1 3 1
3 3 4
10 7
1 2 3
3 3 1
1 1 3
3 2 3
1 2 1
1 1 1
1 1 0
0 1 0
3 1 3
3 3 3
10 7
2 2 2
0 1 0
0 0 1
0 0 2
0 2 2
2 0 0
2 0 1
1 1 1
1 1 2
0 1 2
10 5
0 3 2
0 0 2
3 1 1
1 0 2
3 3 3
1 2 2
3 3 0
3 3 1
1 2 3
1 2 1
10 9
0 2 1
0 1 1
2 2 1
0 1 2
2 1 2
1 0 0
1 1 0
2 1 0
2 2 0
1 1 1
10 7
0 2 0
2 1 0
1 2 2
0 1 0
1 2 0
2 0 2
2 0 1
0 0 0
0 1 2
1 2 1
10 6
1 2 2
2 3 3
3 3 1
1 2 4
0 1 1
3 1 3
0 4 3
4 0 3
0 4 0
2 1 1
10 5
0 4 2
1 3 2
4 1 0
4 0 1
3 3 0
3 0 0
1 2 4
0 0 1
1 0 2
0 3 4
10 4
4 0 4
3 3 1
4 1 0
0 2 3
0 0 1
2 3 1
3 0 3
0 0 0
3 1 2
2 0 4
10 2
0 5 4
0 0 2
2 0 3
5 0 2
2 1 5
0 4 4
3 0 2
5 4 1
0 4 2
1 2 0
10 4
3 0 4
2 3 4
2 1 1
0 2 0
1 1 2
2 3 0
2 4 3
2 3 2
3 1 2
0 4 0
10 8
2 2 2
1 2 0
0 1 0
2 0 2
2 1 2
1 0 1
2 1 1
0 1 1
2 1 0
2 0 0
10 9
3 1 3
1 0 2
1 4 2
1 2 1
1 1 1
4 0 3
4 3 3
2 2 2
2 2 0
1 0 1
10 4
1 0 0
2 1 1
1 1 2
2 0 0
0 2 1
2 1 2
2 2 2
1 0 1
0 1 1
1 0 2
10 3
1 3 3
1 2 2
2 2 2
2 2 3
3 2 0
2 3 1
2 2 1
3 0 2
0 1 1
3 0 3
10 4
1 0 1
2 4 2
0 0 2
1 4 0
4 4 4
0 0 4
0 4 4
3 2 3
3 0 1
2 3 0
10 2
1 2 1
2 2 2
1 1 1
1 0 0
1 2 0
2 0 1
1 1 0
2 1 0
1 1 2
0 2 1
10 8
1 0 0
2 2 1
1 2 1
0 0 2
1 0 1
2 2 2
2 1 2
0 1 0
0 2 2
2 1 0
10 8
1 1 2
0 1 1
2 1 0
0 0 0
1 2 1
2 0 2
1 2 2
1 0 0
0 0 1
0 2 0
10 6
2 3 3
3 0 2
2 0 2
2 2 1
1 2 2
4 1 1
2 2 2
3 0 1
0 2 4
1 1 4
10 4
0 2 1
1 2 1
2 2 2
1 0 0
1 3 2
3 2 0
0 1 3
1 0 1
1 1 3
1 2 2
10 7
0 1 2
2 2 1
0 2 2
0 0 1
0 1 0
2 0 1
1 0 1
2 2 0
0 2 0
0 0 0
10 7
0 0 3
4 3 4
2 1 0
1 2 2
2 1 4
2 1 1
0 3 1
3 4 3
4 3 2
1 4 1
10 7
0 2 0
1 0 2
0 0 2
1 0 1
2 0 1
0 0 1
0 2 1
1 2 1
0 2 2
2 0 0
10 3
1 1 1
2 2 2
2 2 0
0 0 1
0 2 2
1 0 1
2 1 1
0 2 1
1 0 2
2 0 0
10 4
2 2 0
1 0 0
1 2 1
2 0 1
1 1 1
1 2 2
2 1 2
1 0 2
2 0 2
2 2 1
10 8
2 1 2
1 4 1
1 4 2
3 4 0
2 3 2
2 2 2
0 2 1
1 2 1
1 0 0
4 3 3
10 2
1 4 3
4 0 2
1 3 3
0 2 2
2 4 1
4 3 2
0 4 4
0 1 0
1 2 0
2 0 1
10 7
2 4 2
4 4 0
3 5 2
5 1 4
4 5 0
0 4 2
2 4 0
0 0 4
1 2 4
1 0 1
10 7
0 2 2
1 4 4
2 0 1
4 2 4
4 0 5
4 4 2
0 4 1
4 1 4
1 3 0
5 2 1
10 9
4 3 4
4 0 5
0 2 5
0 4 1
5 1 1
1 2 1
4 3 1
0 0 3
1 4 1
2 3 1
10 3
1 2 2
1 1 3
0 2 3
3 3 3
1 3 0
1 2 3
2 3 1
0 1 0
2 1 2
2 0 2
10 7
2 3 3
3 2 3
4 1 5
2 5 3
3 2 5
2 0 5
2 2 3
0 1 5
3 2 1
4 0 4
10 6
2 3 2
1 2 4
1 0 3
1 3 4
3 4 3
4 0 4
2 3 3
1 1 2
2 1 3
4 3 2
10 6
4 0 4
0 5 1
2 3 0
2 0 2
4 0 3
4 1 3
4 3 5
3 4 2
5 4 4
4 3 2
10 8
1 1 2
2 1 0
1 2 1
1 0 0
0 2 1
2 1 2
2 0 0
2 2 2
2 2 1
1 0 2
10 7
0 2 1
2 0 2
1 2 2
2 1 2
1 0 1
2 0 0
1 2 0
2 2 1
2 2 2
0 0 1
10 7
0 1 2
2 1 1
2 2 1
1 0 2
0 0 1
2 0 0
1 1 0
1 1 2
2 2 2
0 2 0
10 7
0 2 1
0 0 1
0 0 3
3 0 3
3 2 0
2 1 0
3 0 1
3 3 1
0 0 0
3 2 2
10 4
4 5 3
0 0 5
3 5 4
3 4 5
3 3 2
3 0 2
4 3 3
3 3 3
3 5 1
1 4 2
10 9
3 0 3
0 2 2
0 1 1
2 0 0
1 3 2
3 0 1
0 1 2
2 2 3
2 1 0
0 2 0
10 5
3 1 1
1 1 3
2 3 1
2 1 3
0 3 2
3 1 2
1 2 3
3 3 1
3 3 3
3 1 3
10 6
2 3 1
1 3 1
1 0 1
2 0 0
1 1 2
3 0 3
2 3 3
1 3 3
1 2 2
3 1 1
10 9
0 0 3
3 0 0
1 2 2
3 4 1
4 0 2
3 1 1
2 3 1
1 1 0
3 2 2
0 1 0
10 7
3 1 2
1 3 2
1 0 0
3 1 0
3 0 0
2 3 3
2 0 0
3 2 0
1 3 0
1 0 1
10 5
0 2 1
1 0 1
2 0 1
1 0 2
1 2 1
0 0 1
1 2 0
1 1 1
0 2 0
0 1 1
10 9
0 4 4
1 1 0
0 0 1
1 4 0
0 3 0
2 3 5
3 0 2
1 3 4
1 4 4
2 4 3
10 6
0 0 0
0 0 2
0 2 2
1 2 1
0 1 1
1 0 1
2 0 1
1 0 0
2 0 2
0 1 0
10 8
0 1 0
0 0 1
2 0 2
0 2 1
0 2 0
0 0 0
1 0 1
0 2 2
1 2 0
2 1 1
10 3
2 2 1
0 2 2
2 0 2
0 1 2
1 1 0
2 2 0
0 2 0
1 2 0
0 2 1
0 1 1
10 4
3 3 3
2 1 1
1 0 3
3 2 0
3 0 1
1 3 0
3 0 2
3 0 3
1 2 2
0 1 1
10 4
2 1 1
1 1 2
1 0 0
1 0 2
0 2 0
1 1 1
0 1 2
0 2 1
2 2 1
0 0 2
10 8
2 1 0
0 1 1
2 1 2
2 2 0
0 0 0
1 2 1
0 1 0
0 2 2
0 1 2
1 0 2
10 2
3 0 2
1 4 4
4 4 0
3 2 4
3 2 2
3 4 4
4 3 0
3 1 4
0 1 3
2 4 3
10 5
1 0 4
0 0 2
3 1 0
3 0 3
0 0 1
0 3 3
2 2 1
0 2 0
1 3 3
3 2 0
10 8
4 3 0
3 3 4
1 0 2
1 5 1
5 4 2
2 0 2
2 5 4
2 5 3
0 4 1
4 5 1
10 3
4 2 0
2 3 4
4 0 3
3 0 3
4 4 4
0 4 1
1 2 2
1 4 3
2 2 0
2 0 0
10 9
1 0 3
1 0 2
4 5 5
4 4 4
2 5 0
1 5 0
3 0 3
0 4 1
1 3 3
1 2 4
10 3
2 0 3
3 2 0
4 2 2
0 1 3
1 1 0
1 1 4
0 4 0
4 3 0
2 3 1
3 0 2
10 7
0 1 1
2 0 1
0 0 0
1 1 1
0 2 1
1 0 0
1 2 0
0 0 2
0 1 0
2 1 2
10 3
1 3 1
4 3 4
4 0 1
4 3 3
2 4 2
1 3 0
1 2 3
1 3 3
3 1 3
4 3 2
10 8
3 0 3
2 1 3
2 2 0
2 2 4
0 0 2
3 4 1
4 3 3
2 3 0
1 1 2
0 2 3
10 8
1 1 4
0 0 0
3 3 3
0 0 2
3 1 4
4 4 0
2 4 3
1 4 1
1 2 1
0 1 0
10 6
1 0 0
1 2 2
1 3 2
0 3 3
0 0 1
2 1 1
0 0 0
3 1 2
2 1 3
0 3 1
10 6
3 2 0
1 2 2
1 2 0
0 1 0
3 3 1
2 1 0
0 3 2
1 1 2
1 0 3
3 1 2
10 5
3 3 0
1 1 0
3 3 1
0 2 1
2 3 3
3 0 0
3 2 0
0 0 1
1 2 3
1 3 2
10 4
1 1 2
3 3 4
1 1 4
1 0 4
0 1 0
0 3 4
3 3 3
4 3 0
1 4 3
0 1 4
10 7
1 0 4
4 0 4
3 4 2
2 0 1
4 0 0
1 1 1
3 2 0
0 0 2
4 0 3
4 4 1
10 2
4 1 1
1 4 5
4 4 5
0 0 4
2 5 5
2 3 5
2 1 2
5 5 5
2 2 2
0 3 3
10 5
1 3 0
3 2 2
2 0 1
0 3 1
1 0 1
0 0 3
0 2 3
3 0 0
0 0 1
1 2 0
10 5
3 0 0
2 3 1
1 1 2
0 1 2
2 3 3
0 1 1
3 1 1
1 2 3
1 1 0
3 2 1
10 2
1 1 3
3 2 3
0 1 2
0 1 3
1 1 0
2 2 0
1 0 1
2 0 3
2 0 2
3 1 1
10 4
1 1 3
1 1 0
0 2 2
3 3 0
3 0 2
1 2 1
2 2 2
2 3 1
3 3 2
0 3 3
10 5
2 5 5
4 4 5
1 2 0
0 1 0
1 2 2
4 5 3
3 2 4
1 3 1
0 0 1
5 4 0
10 2
5 2 5
3 2 0
5 2 2
4 4 5
5 0 3
2 0 5
1 3 2
0 3 4
3 3 5
5 5 5
10 5
0 3 2
2 1 1
0 0 0
0 3 3
1 3 2
3 2 0
3 0 0
1 0 3
0 3 1
0 2 3
10 9
2 3 1
1 0 2
1 3 0
3 0 1
3 3 1
2 2 2
1 2 1
3 1 3
3 0 3
1 1 0
10 9
1 0 0
5 0 4
0 1 5
4 0 0
3 0 2
5 3 0
0 0 2
0 2 4
2 2 4
1 1 0
10 7
3 1 0
3 4 5
3 1 2
5 4 3
4 1 2
3 0 3
0 0 2
2 5 3
5 3 3
0 3 3
10 3
3 0 3
5 3 0
5 3 1
1 4 2
1 4 4
5 1 2
1 0 5
5 0 0
2 4 4
2 5 3
10 4
2 2 0
2 1 4
1 4 2
0 0 2
0 2 0
3 3 4
4 2 1
2 0 1
3 1 2
2 4 1
10 7
0 0 2
1 0 2
0 2 3
3 3 0
1 4 4
0 3 0
4 4 3
2 2 0
1 0 0
3 3 3
10 2
4 1 2
2 3 1
0 3 0
2 2 2
1 1 2
1 2 0
0 1 2
3 4 2
4 3 2
2 4 1
10 9
2 3 3
1 3 2
3 3 2
0 0 2
3 1 2
1 3 3
0 2 1
2 2 3
2 0 1
2 3 0
10 5
1 1 3
2 0 1
1 3 0
1 3 3
1 0 0
3 3 2
3 3 0
2 0 3
2 0 2
3 2 2
10 5
5 1 4
1 0 0
0 4 2
3 2 0
5 0 1
0 3 4
3 3 5
1 1 4
5 1 3
3 5 3
10 5
3 4 1
1 4 0
3 1 1
2 0 0
0 4 2
2 1 2
0 2 3
1 1 4
3 1 3
0 2 0
10 7
1 0 2
0 1 0
0 0 0
0 1 1
1 1 1
0 0 1
2 2 1
0 1 2
2 1 2
2 2 2
10 7
1 0 0
2 2 1
1 2 2
2 1 0
1 1 1
0 0 1
0 2 2
0 1 2
0 2 0
2 1 1
10 5
1 4 5
3 2 1
0 2 3
0 0 4
5 4 3
2 5 0
4 0 3
1 3 2
4 3 5
2 1 2
10 5
2 0 0
0 2 0
0 1 0
2 1 2
0 0 2
2 2 2
1 0 1
0 1 1
2 0 2
2 1 0
10 8
0 2 1
0 1 3
3 0 1
1 1 2
0 2 3
2 1 0
0 2 2
0 1 0
3 3 0
3 3 1
10 5
0 0 1
0 1 1
2 2 0
2 2 2
1 0 2
2 0 2
0 1 2
0 0 0
1 1 1
0 2 2
10 4
2 1 1
0 1 0
1 2 0
0 0 0
0 2 2
2 0 2
2 1 2
2 2 2
2 0 1
1 2 2
10 6
3 4 0
1 5 1
3 4 5
5 4 2
4 3 4
3 0 1
4 0 4
3 0 2
2 5 0
3 0 3
10 3
1 0 2
3 4 3
5 1 3
0 2 4
1 2 0
1 0 1
0 3 5
3 5 1
5 4 1
5 3 2
10 4
1 1 0
5 0 5
2 4 3
4 1 3
5 2 2
0 0 1
3 2 3
0 2 0
5 1 2
3 0 5
10 9
2 0 0
3 0 1
2 3 1
1 2 1
0 1 3
1 0 1
3 3 2
2 2 2
3 2 3
0 3 0
10 4
1 1 3
0 3 0
0 1 0
2 2 0
1 0 0
0 0 0
2 0 0
2 2 2
0 2 2
1 1 2
10 5
3 0 2
1 0 1
3 1 0
2 0 3
4 4 2
3 1 1
2 3 4
3 3 3
4 0 2
1 4 2
10 9
0 2 3
3 3 2
2 2 2
2 2 1
2 1 2
3 1 0
0 1 2
0 3 1
0 0 3
0 3 0
10 5
4 3 3
5 1 3
3 4 1
3 2 2
3 1 1
3 4 4
4 5 2
5 1 1
4 0 0
0 2 3
10 3
3 2 2
3 1 1
1 1 3
0 3 3
0 0 3
0 3 1
0 3 0
1 3 2
1 0 1
0 2 1
10 8
1 0 2
0 2 2
0 2 0
2 2 0
1 0 0
1 1 2
1 0 1
0 0 0
1 1 1
1 2 0
10 9
2 1 1
1 2 1
0 0 2
1 0 1
2 2 0
1 2 2
2 0 1
2 0 0
2 2 2
2 2 1
10 9
0 2 2
1 0 0
1 0 1
0 2 0
0 2 1
2 2 2
0 1 2
0 0 0
0 1 0
1 2 2
10 3
0 0 0
0 2 1
2 2 0
2 2 1
0 1 0
2 1 0
1 1 2
1 0 1
2 2 2
0 1 1
10 9
2 4 4
1 2 2
1 3 3
1 5 3
0 1 3
3 4 2
4 2 3
5 2 2
3 0 3
1 4 5
10 7
1 5 3
2 1 4
3 3 2
3 4 2
3 0 5
0 5 2
1 5 1
2 2 4
5 0 4
2 2 2
10 4
1 3 0
3 1 3
0 3 1
3 1 2
0 3 2
2 2 1
2 1 2
2 0 3
0 2 3
1 1 1
10 6
3 0 4
3 4 0
5 4 0
2 1 1
0 1 4
5 4 5
2 2 0
5 0 1
5 3 3
5 5 0
10 4
1 2 2
1 0 1
0 0 0
2 2 2
2 2 0
1 2 1
1 0 2
1 1 2
0 0 2
0 1 0
10 6
0 0 0
1 1 2
1 1 1
1 0 2
1 2 2
2 2 1
1 2 0
0 1 0
0 1 1
2 1 0
10 4
3 1 0
0 2 0
0 2 1
1 0 1
2 0 0
3 3 0
2 0 3
3 3 2
1 2 3
1 2 1
10 8
0 3 3
3 2 1
2 1 1
3 1 2
3 2 3
1 1 1
0 2 0
1 3 0
1 0 3
1 1 3
10 5
1 1 1
3 3 0
3 3 3
1 2 1
0 1 2
3 0 0
2 2 3
3 3 2
1 1 2
3 1 2
10 4
2 2 2
4 0 1
2 0 3
2 3 3
4 1 4
0 1 0
2 0 5
5 4 5
3 2 1
5 2 0
10 7
4 1 2
3 1 3
4 3 2
2 2 1
1 3 4
3 2 3
2 0 1
0 2 2
1 1 0
3 2 2
10 2
4 1 5
0 1 0
3 2 0
5 1 1
4 4 4
4 0 0
5 4 5
2 5 2
0 4 4
0 1 1
10 8
4 1 5
3 5 4
5 3 1
2 1 0
0 5 3
1 1 0
2 0 5
3 3 4
4 2 2
5 5 2
10 7
0 4 3
0 4 0
4 4 4
3 3 4
1 3 0
3 1 1
3 4 2
2 0 4
0 1 4
3 0 3
10 2
2 1 0
2 2 2
1 2 1
0 1 2
0 2 0
0 1 0
2 0 1
1 2 0
2 0 0
2 2 1
10 3
1 2 2
0 2 1
1 1 0
2 0 0
2 0 1
0 2 2
2 0 2
0 2 0
2 1 0
1 0 1
10 4
1 2 3
1 2 0
3 0 1
2 3 0
0 2 1
1 3 3
0 2 2
1 0 3
2 1 0
2 3 1
10 4
3 4 2
0 2 2
0 4 0
4 2 1
2 3 1
2 1 1
4 1 1
4 4 2
0 3 1
3 0 2
10 2
4 3 3
2 2 3
3 0 0
0 1 4
3 3 0
2 3 3
0 3 2
5 0 0
4 2 4
1 3 0
10 4
4 3 0
3 4 3
0 3 3
4 0 3
1 5 3
0 5 2
3 3 3
0 1 4
2 2 2
4 3 5
10 5
2 2 2
0 0 4
3 2 0
3 4 4
3 3 3
4 3 1
4 4 0
1 3 4
0 1 0
4 3 3
10 2
4 4 4
5 1 1
0 4 0
4 5 1
2 1 3
3 2 2
4 1 0
0 3 2
2 1 1
1 1 2
10 6
1 1 0
1 1 1
0 1 0
2 0 0
2 0 2
0 0 0
1 1 2
2 0 1
0 2 1
0 2 0
10 7
0 2 2
3 0 2
2 0 0
0 2 0
0 0 3
1 0 3
1 2 0
3 2 1
2 1 1
1 2 2
10 8
4 5 4
2 2 4
5 1 1
4 2 2
5 0 5
5 5 5
1 4 3
5 0 2
0 3 5
2 0 3
10 6
2 3 1
3 1 4
3 3 1
0 3 0
1 3 4
0 2 2
4 2 4
1 0 2
3 0 4
0 3 3
10 4
1 0 2
0 2 2
2 3 1
3 4 0
4 1 3
4 2 2
2 0 1
1 4 3
3 0 1
2 3 4
10 7
4 1 4
0 0 0
4 2 2
0 1 0
5 4 5
1 2 0
3 5 5
0 1 2
1 4 1
5 2 4
10 2
4 3 3
3 2 2
1 0 3
1 3 2
3 0 4
1 2 2
0 0 1
0 0 4
0 2 4
4 4 0
10 7
0 0 1
0 3 0
1 3 0
2 1 2
0 1 0
3 0 2
0 2 1
3 3 0
2 0 0
2 2 3
10 3
2 1 4
2 2 2
4 3 4
3 1 3
4 0 0
2 4 0
3 2 3
3 4 3
0 3 3
4 4 3
10 5
0 0 1
2 2 0
1 2 1
0 1 1
1 2 0
0 2 0
2 0 2
1 2 2
0 1 2
2 2 1
10 7
2 0 2
4 4 0
0 4 1
2 1 1
3 4 1
3 4 4
3 4 2
2 2 0
3 0 0
4 1 1
10 6
2 1 2
0 2 1
0 1 0
1 2 1
2 2 1
0 2 0
0 0 0
0 2 2
2 0 1
1 2 0
10 5
1 0 3
1 0 2
3 1 3
2 1 1
3 0 1
3 1 0
2 2 3
3 0 2
0 0 2
0 1 0
10 8
0 1 2
0 0 2
0 3 1
1 2 2
0 2 3
1 0 2
1 3 3
0 2 1
1 1 2
2 0 1
10 5
4 2 4
4 1 2
1 1 2
2 4 1
2 1 2
2 4 4
1 1 0
1 2 4
2 1 1
1 2 3
10 9
1 0 0
1 1 3
0 0 0
0 2 0
2 1 1
1 2 2
1 2 1
2 0 1
3 0 3
0 1 0
10 2
0 0 4
2 4 3
0 2 3
5 1 3
0 1 4
0 4 2
3 1 2
5 3 3
1 4 5
1 5 1
10 7
2 2 1
2 0 2
1 0 0
1 2 0
0 2 0
2 2 2
2 0 0
1 1 2
0 0 1
0 1 0
10 8
1 2 2
2 1 0
2 1 1
0 2 2
2 0 0
1 2 1
1 0 1
2 0 2
2 2 0
2 2 1
10 4
3 3 0
1 3 3
1 2 0
0 2 2
3 0 1
1 2 2
2 2 2
3 0 0
3 0 3
3 2 3
10 2
3 3 3
1 4 3
1 2 3
0 0 4
4 3 2
2 0 1
1 1 2
0 1 2
1 4 4
2 2 2
10 4
0 0 0
0 1 0
1 2 2
2 0 0
2 2 2
1 0 2
1 2 1
0 2 1
2 0 1
1 1 1
10 9
2 0 1
4 0 0
3 2 1
2 3 3
4 0 1
2 4 2
2 3 1
3 0 4
4 4 4
2 2 1
10 6
4 1 2
3 4 1
4 4 2
1 4 0
2 1 0
1 1 1
3 1 0
0 0 1
3 3 1
0 3 2
10 9
1 4 4
0 5 2
4 1 0
3 2 0
1 5 0
4 2 1
0 1 0
4 0 1
0 4 5
3 1 5
10 2
0 0 1
5 1 1
5 2 0
5 0 1
5 0 2
3 5 4
3 2 2
3 5 1
2 4 3
4 1 2
10 4
0 2 2
3 3 2
4 2 2
3 4 2
4 0 3
0 4 0
0 4 3
2 2 1
1 0 3
0 0 0
10 7
1 0 2
0 2 1
2 2 2
0 1 1
2 0 2
2 1 2
0 1 2
0 0 2
1 1 2
2 0 0
10 8
0 1 1
1 0 1
2 1 3
2 2 3
0 3 0
0 0 3
3 1 1
3 1 0
1 0 2
3 3 0
10 6
0 2 4
5 1 0
1 5 5
1 0 3
4 0 3
0 1 1
5 2 3
3 3 0
5 3 4
0 4 5
10 2
0 2 0
2 2 2
2 2 0
1 0 1
2 0 1
2 1 2
2 1 0
0 0 2
0 2 2
1 1 1
10 2
3 0 1
0 0 0
4 5 0
0 5 4
4 2 2
3 4 0
5 3 5
1 2 1
4 1 5
4 3 5
10 8
2 0 0
1 2 2
0 2 0
0 3 2
1 2 3
2 2 2
3 1 0
3 2 0
0 1 2
1 1 3
10 2
2 1 0
0 2 0
0 2 2
1 0 1
1 1 1
1 1 0
2 1 1
0 2 1
2 1 2
0 0 2
10 9
1 3 3
2 2 0
3 0 1
3 2 3
0 1 0
2 2 1
3 3 0
3 1 0
1 2 0
0 0 0
10 3
2 2 3
2 3 3
2 0 3
3 0 3
2 0 2
2 3 1
3 1 1
3 0 1
3 3 2
3 3 1
10 2
3 0 4
1 0 5
4 2 2
2 2 4
3 2 2
0 5 3
5 4 3
2 4 5
4 2 1
5 2 4
10 2
0 0 1
3 2 4
4 4 0
2 2 2
1 0 0
0 0 4
2 1 4
1 0 1
2 0 0
3 4 1
10 4
1 5 2
2 5 4
5 1 0
2 3 3
5 1 2
1 0 1
0 1 1
3 0 5
1 1 3
0 1 0
10 8
2 0 1
1 3 2
1 4 4
2 1 1
0 1 2
1 0 4
0 0 1
2 4 4
2 2 3
3 3 2
10 3
4 2 1
1 0 1
2 1 4
1 2 1
0 1 2
3 3 1
4 0 0
0 4 3
2 0 1
0 1 3
10 2
1 1 1
0 1 1
1 2 1
1 1 0
1 1 2
0 0 0
0 2 2
2 2 0
1 2 2
0 2 0
10 5
2 3 2
3 3 2
4 3 2
3 1 4
0 1 2
1 0 0
1 2 1
3 4 2
4 0 0
4 0 1
10 8
4 1 1
2 4 0
3 0 4
3 0 3
2 2 1
0 4 1
3 1 2
3 2 1
2 0 1
1 0 4
10 7
1 1 1
0 0 1
2 3 2
1 3 0
0 1 0
2 2 2
3 1 2
1 3 1
3 1 1
2 2 1
10 2
2 3 1
3 3 0
3 0 1
0 0 2
2 0 3
0 3 1
2 2 2
2 3 0
1 1 0
1 2 0
10 3
1 2 2
1 2 1
0 0 1
2 1 0
0 1 1
0 2 1
2 2 0
1 1 2
2 2 2
1 0 0
10 9
2 0 0
1 2 0
0 2 0
2 0 1
2 2 1
2 0 2
0 2 2
2 2 0
0 0 0
0 1 2
10 7
1 1 0
1 1 2
0 0 1
2 2 0
0 1 0
2 1 2
0 2 0
0 1 2
2 0 2
0 1 1
10 9
2 0 1
2 0 0
2 1 3
2 3 1
2 3 3
0 1 0
3 1 0
3 2 0
0 0 1
3 3 0
10 8
0 1 0
2 1 1
1 0 2
2 2 1
0 1 2
1 1 0
0 0 1
2 0 0
0 0 0
1 2 0
10 3
0 0 2
5 3 1
3 1 2
1 5 1
5 4 1
2 2 1
4 1 4
2 5 5
1 1 1
5 0 3
10 5
1 0 5
5 5 5
1 2 0
4 3 0
2 5 1
5 3 0
1 5 2
5 1 3
1 0 3
3 1 1
10 5
3 5 4
3 3 4
2 5 0
4 4 4
0 4 0
2 0 5
3 2 4
3 5 3
0 2 1
2 1 0
10 8
2 2 0
1 3 1
1 0 2
2 0 3
3 0 1
3 3 0
0 2 1
1 1 2
1 0 3
0 3 3
10 7
4 5 3
4 3 5
1 1 4
0 4 5
0 1 5
0 3 3
5 0 2
3 5 0
4 0 4
3 1 4
10 7
3 0 3
3 1 0
0 0 0
2 3 2
1 3 3
2 2 2
1 0 3
0 1 1
3 3 3
0 1 3
10 5
2 1 2
2 0 1
2 0 2
1 2 0
2 1 0
1 0 2
0 0 0
0 2 1
1 1 0
0 2 2
10 8
0 1 1
3 0 5
2 1 0
0 4 2
3 0 2
4 4 5
3 1 4
0 2 3
3 4 3
2 0 4
10 5
2 1 1
2 0 3
2 3 2
2 3 3
0 3 3
0 1 0
3 0 2
3 0 0
1 3 0
1 3 1
10 5
2 1 0
0 0 1
0 3 2
1 2 3
0 1 2
1 0 0
2 3 1
0 3 0
1 3 2
0 2 1
10 6
1 0 1
1 2 3
2 0 2
4 1 1
2 3 0
0 3 1
1 4 4
4 4 4
0 4 2
4 4 3
10 4
1 0 2
0 0 2
2 1 1
1 1 0
2 1 2
1 2 2
2 2 2
2 0 2
0 1 2
2 2 0
10 3
2 2 1
1 2 0
2 2 2
0 2 2
1 1 1
1 0 1
2 1 2
0 0 2
1 2 1
0 1 1
10 5
1 0 3
1 4 2
3 0 2
4 1 3
3 3 4
4 3 2
0 0 3
3 3 0
3 1 1
4 2 4
10 4
2 3 2
0 1 3
1 1 1
2 0 2
2 2 2
1 3 0
1 1 3
0 1 2
1 0 2
3 2 3
10 6
0 2 2
0 3 2
2 3 2
0 3 0
2 3 3
1 1 3
2 0 3
0 1 1
3 3 0
1 0 3
10 8
2 0 2
4 1 1
2 1 2
1 4 2
3 2 3
4 3 3
3 0 3
3 4 4
3 0 4
1 1 1
10 5
3 0 1
0 0 5
5 3 2
0 1 4
5 1 4
5 0 4
4 5 2
5 1 0
3 5 5
3 0 4
10 4
0 0 0
2 3 0
2 0 1
3 1 3
2 0 0
0 1 3
3 2 2
3 2 0
3 1 0
0 3 2
10 3
1 0 1
2 2 0
2 1 0
1 0 0
1 1 0
2 2 2
0 1 2
1 0 2
1 1 2
0 0 0
10 5
0 2 2
0 0 0
1 0 0
1 0 2
2 1 0
0 1 2
1 0 1
2 2 0
0 2 1
2 1 1
10 8
2 3 1
0 3 3
2 1 3
1 2 0
2 0 2
1 3 0
1 0 1
0 0 1
1 0 0
1 0 2
10 5
1 1 3
2 2 3
3 1 4
2 0 1
4 4 3
1 5 3
2 0 5
2 3 0
1 5 0
1 0 1
10 9
2 1 2
1 1 1
0 0 0
1 0 1
1 2 0
1 2 1
2 2 1
2 3 0
3 0 0
1 0 2
10 6
1 0 3
1 3 5
1 5 5
5 3 1
4 0 2
1 0 4
4 0 3
5 1 5
2 1 1
1 0 1
10 6
2 3 4
2 0 4
2 3 1
5 0 0
4 1 3
4 0 5
0 2 2
0 5 5
5 0 1
2 5 3
10 4
0 0 0
2 1 0
2 2 0
1 1 1
2 0 2
2 2 2
2 0 1
0 2 2
1 2 0
1 2 1
10 2
5 0 1
5 1 0
1 3 4
2 5 4
1 3 3
3 2 1
1 0 1
5 2 5
3 2 4
2 1 5
10 8
1 2 1
0 0 1
0 0 2
1 1 0
2 1 1
2 2 0
2 0 2
1 0 0
0 2 0
0 2 1
10 5
2 2 0
2 0 3
2 0 2
2 2 2
1 2 0
1 2 2
0 1 0
0 3 2
3 3 0
0 2 2
10 8
0 3 4
4 2 2
3 1 3
2 0 2
3 2 5
4 3 5
0 3 0
5 5 4
0 4 4
4 3 3
10 3
0 1 1
2 2 1
1 0 2
2 1 2
0 1 2
2 0 1
0 0 1
1 1 2
0 1 0
0 2 1
10 9
5 2 4
0 3 4
2 5 4
0 0 3
5 5 0
1 5 3
3 1 5
2 1 5
2 0 4
3 4 1
10 2
4 1 2
3 1 5
0 5 4
4 3 1
0 4 5
3 2 2
4 0 5
1 1 4
3 5 3
0 3 1
10 7
2 2 2
0 0 0
2 0 0
0 0 1
1 0 1
2 2 0
2 0 2
0 1 2
0 1 0
2 1 1
10 9
1 1 1
2 3 2
0 1 3
3 0 1
2 1 3
2 1 1
2 0 2
0 2 3
1 1 0
3 1 3
10 7
2 0 3
3 3 0
4 1 3
3 0 3
3 2 4
2 4 3
1 0 0
1 3 2
4 3 4
3 3 3
10 3
3 1 2
1 3 0
4 3 2
4 4 4
1 0 4
0 3 2
0 0 3
4 1 3
2 0 5
2 3 4
10 8
1 1 1
4 3 4
0 0 5
5 0 3
3 5 1
2 2 5
5 3 5
5 3 4
2 3 3
5 0 2
10 8
0 1 2
0 2 0
0 2 1
2 0 0
1 1 2
0 0 0
2 1 1
2 0 2
1 2 2
1 0 1
10 5
3 2 2
2 3 2
3 3 2
1 3 4
4 4 3
4 4 4
0 0 3
2 3 4
4 4 2
4 2 3
10 9
2 0 4
1 2 1
3 4 4
2 0 2
0 4 5
0 1 0
1 5 3
2 4 0
5 0 0
2 3 0
10 6
5 0 1
1 3 3
5 0 5
5 3 1
5 3 0
1 0 4
1 0 3
3 3 3
2 2 1
3 3 5
10 6
2 2 0
2 3 2
2 3 0
0 2 2
2 1 0
0 3 1
0 1 3
3 0 0
1 1 3
1 3 1
10 3
2 0 2
2 1 2
1 1 1
0 1 3
0 2 0
0 0 2
3 2 1
1 2 3
0 1 0
2 1 3
10 5
1 3 0
2 2 3
0 1 0
1 2 0
3 1 0
1 1 3
2 1 1
0 3 3
1 1 0
1 3 3
10 3
0 4 2
2 1 4
2 3 2
0 0 2
1 1 2
3 3 4
0 2 1
4 2 1
1 1 0
2 4 4
10 2
1 1 0
2 1 2
2 1 0
0 0 0
1 1 2
0 2 2
2 2 1
2 0 2
1 1 1
1 0 1
10 6
1 3 2
4 3 0
3 1 0
0 1 1
1 3 3
4 2 4
1 4 0
3 1 3
3 0 2
1 2 3
10 8
0 0 3
0 3 1
2 2 2
1 2 0
2 3 3
3 0 3
0 3 0
1 0 0
1 2 2
1 2 1
10 9
5 1 5
5 4 2
2 0 2
3 4 3
3 1 1
0 0 1
1 2 1
1 0 3
3 4 1
3 4 4
10 7
3 4 2
0 1 2
2 3 3
2 3 4
4 1 3
0 0 4
0 1 3
1 0 4
2 2 0
3 1 1
10 6
0 1 0
1 2 0
1 0 0
1 1 0
1 0 1
2 0 2
2 2 0
1 0 2
0 0 2
0 0 0
10 9
5 3 0
4 5 5
5 1 5
5 0 2
2 2 4
1 2 0
5 3 4
0 2 4
4 0 0
4 3 3
10 3
3 2 5
0 3 1
0 4 2
3 2 4
0 4 1
5 1 5
0 4 5
3 1 0
0 5 4
0 5 1
10 5
1 0 4
3 3 0
5 2 0
0 3 5
1 1 1
1 4 3
4 3 0
0 5 2
5 3 5
5 5 1
10 3
2 3 1
0 2 2
2 0 3
1 3 2
3 3 1
2 3 3
1 0 3
0 1 3
0 1 1
2 1 0
10 2
1 0 1
0 3 3
3 0 0
2 0 2
0 3 0
3 1 3
1 3 2
2 0 1
0 1 2
0 0 0
10 2
1 3 0
0 0 2
3 1 3
1 3 2
2 2 0
0 1 1
0 3 2
0 3 0
1 2 2
3 2 2
10 2
3 3 1
3 5 2
2 4 0
2 2 0
2 2 5
3 3 2
4 1 4
0 0 2
3 0 5
2 4 5
10 7
1 0 2
3 2 1
0 0 0
3 3 3
3 0 0
0 1 2
1 2 2
0 2 0
0 3 1
3 1 1
10 5
2 0 0
1 3 1
3 4 4
2 2 0
0 0 4
0 3 0
2 0 3
4 2 3
4 1 2
4 3 2
10 9
0 1 1
3 1 2
3 1 1
3 3 2
3 0 3
0 4 4
1 0 4
2 2 4
2 0 3
0 3 4
10 3
0 0 1
3 4 0
0 1 1
2 4 1
1 4 4
2 3 1
0 4 4
0 2 0
0 2 1
2 0 2
10 5
1 2 1
1 2 2
0 0 0
2 1 0
2 0 2
1 0 2
0 2 0
2 0 0
1 1 1
2 2 0
10 3
1 2 0
2 3 5
1 2 1
3 4 0
1 0 3
2 4 1
1 0 4
3 1 3
2 4 5
1 4 0
10 6
0 0 1
2 1 2
1 0 1
0 0 2
1 2 0
0 0 0
1 0 2
2 1 1
2 2 0
2 0 1
10 6
1 1 1
2 2 2
1 0 1
1 1 0
1 2 1
2 0 2
2 0 0
0 0 1
2 2 1
0 2 1
10 3
3 0 3
1 2 4
1 1 4
2 0 1
1 3 2
4 5 1
4 0 5
3 0 0
0 2 0
4 0 3
10 9
1 0 0
1 0 2
1 2 1
2 0 2
0 1 0
0 0 0
0 0 2
0 0 1
0 2 0
1 1 2
10 2
1 0 0
0 1 0
1 0 1
0 3 1
2 0 3
1 1 0
0 0 3
2 3 1
2 0 2
3 1 1
10 4
2 3 4
1 4 0
1 2 3
3 1 0
2 0 4
4 0 4
3 3 3
0 0 3
0 2 3
3 0 1
10 5
0 0 0
1 2 3
0 1 2
4 2 1
4 1 2
2 3 3
0 0 1
2 1 3
1 3 0
2 0 1
10 8
0 1 1
0 2 0
2 1 0
1 0 2
1 2 1
2 0 0
2 1 1
2 2 2
1 0 1
0 0 0
10 7
1 4 1
2 3 1
4 2 3
2 0 4
0 4 3
3 0 4
2 4 4
1 2 2
0 0 3
3 1 2
10 8
0 0 1
1 2 2
0 2 1
1 2 1
2 1 2
1 2 0
1 0 2
1 1 2
2 2 1
0 1 2
10 9
3 2 2
1 2 3
3 2 0
0 0 2
1 2 2
2 3 1
2 3 2
1 2 1
0 2 1
1 1 2
10 4
2 0 0
3 0 1
3 0 0
3 1 3
0 3 0
0 1 1
3 3 1
1 2 1
1 3 1
1 1 1
10 2
3 2 1
2 0 4
2 2 3
0 3 2
2 3 4
5 0 5
1 2 5
5 1 1
2 0 2
5 3 3
10 6
2 3 2
3 0 3
2 1 2
0 0 0
1 0 3
1 3 3
0 3 0
0 2 1
1 2 3
1 3 2
10 2
1 4 2
2 5 2
5 4 0
4 5 4
1 4 3
3 4 3
5 1 1
0 0 4
3 5 3
2 1 3
10 4
1 3 0
4 1 1
1 1 0
1 2 0
4 3 4
0 3 1
1 2 2
4 4 3
1 0 3
3 3 4
10 6
1 4 3
5 5 0
3 5 0
2 5 5
2 1 5
1 4 1
0 4 1
4 3 4
5 3 4
0 3 5
10 5
3 5 5
4 0 2
2 5 5
4 2 3
2 5 0
0 0 0
2 4 1
1 5 4
0 4 1
4 1 4
10 7
2 0 2
0 1 2
1 1 2
1 1 0
1 0 2
0 0 0
2 0 0
1 0 1
0 1 0
0 2 2
10 7
1 0 1
2 0 0
0 1 0
0 2 2
1 0 2
0 0 0
1 1 1
1 1 2
1 2 1
2 1 2
10 4
1 1 0
0 0 2
2 1 1
0 2 0
2 2 0
0 0 0
0 1 0
1 2 2
1 0 1
2 1 2
10 8
2 0 1
2 1 0
0 1 2
0 2 0
2 0 0
2 0 2
0 2 1
2 2 2
2 2 1
2 1 2
10 4
1 4 3
1 0 2
2 0 3
3 3 2
4 0 3
1 3 2
2 4 0
0 2 0
0 3 3
0 1 2
10 5
0 0 2
0 0 1
2 1 2
2 1 1
1 1 2
0 0 0
1 0 0
2 2 1
2 2 0
2 2 2
10 5
3 0 5
5 1 1
3 5 3
1 2 3
2 5 3
0 2 2
0 5 2
3 1 0
3 3 3
5 2 1
10 2
0 2 1
3 4 4
3 0 0
2 2 4
5 4 0
2 5 1
0 5 3
0 1 3
2 1 1
3 3 3
10 4
3 0 0
1 1 2
1 0 1
2 0 3
0 0 1
3 3 0
1 1 1
3 1 2
2 3 0
3 0 1
10 5
3 0 0
2 4 0
5 3 4
4 1 3
3 5 3
1 0 2
5 0 1
1 3 4
4 5 0
2 3 4
10 2
0 1 2
0 1 0
0 2 3
2 0 2
3 2 3
3 2 1
0 3 1
3 1 3
0 3 2
1 1 0
10 5
0 0 1
0 2 2
0 2 0
2 2 1
1 1 2
0 1 0
1 2 2
2 0 1
2 2 0
2 1 0
10 5
2 1 1
1 1 0
1 0 1
0 2 1
2 2 2
2 0 2
0 0 0
1 2 1
1 0 2
2 0 0
10 2
4 1 3
3 3 0
0 4 2
3 1 3
2 3 2
2 1 4
0 0 4
2 0 2
4 3 0
0 2 0
10 5
5 2 5
5 1 5
5 0 2
3 1 5
5 3 1
2 5 5
4 0 5
3 5 5
4 1 0
4 3 5
10 5
4 0 0
5 2 2
1 3 1
3 0 1
0 1 5
3 2 2
4 4 1
3 1 1
4 5 2
0 2 3
10 5
1 4 1
0 1 1
3 2 0
4 1 5
5 5 3
1 2 3
5 5 5
4 0 2
4 0 3
2 0 1
10 3
2 0 0
0 1 0
2 2 1
0 1 1
0 2 0
2 0 1
0 2 2
2 1 0
1 2 0
1 0 1
10 3
3 1 3
1 3 3
0 1 0
1 0 3
2 1 0
3 1 1
0 0 1
3 2 0
0 2 3
0 0 0
10 2
4 3 5
2 2 3
1 2 3
2 2 2
3 0 0
2 2 1
3 4 4
3 2 2
5 4 4
2 4 2
10 3
1 2 3
1 2 0
3 1 2
1 1 1
1 3 3
0 2 1
1 1 3
2 1 2
3 0 1
3 3 0
10 8
0 1 0
0 3 2
1 0 2
2 2 1
1 2 0
0 1 1
0 3 1
1 1 1
1 3 3
1 3 1
10 4
4 0 1
0 1 2
4 4 2
4 1 3
3 0 1
0 0 1
3 4 4
3 2 2
1 0 3
1 1 3
10 9
0 1 0
2 2 1
1 1 0
2 0 2
2 1 0
1 2 0
1 0 0
0 0 2
0 2 0
2 1 2
10 8
4 1 2
2 4 4
2 0 1
1 2 0
2 1 2
0 0 4
4 2 1
1 4 3
3 4 4
0 4 1
10 6
3 1 1
0 2 3
3 0 0
3 3 1
3 0 2
1 0 3
3 0 3
0 2 1
3 1 2
1 0 1
10 9
5 0 5
4 0 0
2 5 2
4 4 0
3 3 1
0 0 4
4 3 3
2 2 3
3 4 4
1 5 3
10 2
1 2 5
4 0 1
5 5 4
3 2 4
2 0 5
1 3 5
2 5 0
2 5 1
4 0 3
0 1 1
10 6
4 1 0
0 5 2
2 0 5
3 4 4
4 3 0
5 0 5
1 3 0
5 2 0
2 0 3
5 0 4
10 9
3 3 0
3 3 1
0 3 0
0 3 3
2 0 1
1 1 3
1 0 3
0 0 2
3 2 3
1 2 0
10 4
1 3 3
2 3 0
2 2 2
1 0 1
0 2 4
3 4 0
0 4 1
0 3 0
1 0 0
4 0 0
10 3
0 4 3
3 3 2
2 4 4
4 2 1
5 2 1
0 2 2
2 5 2
3 1 4
2 3 2
5 3 2
10 3
0 1 1
1 2 2
0 0 0
1 1 0
0 1 2
0 2 1
1 0 0
0 2 2
1 0 2
0 1 0
10 2
1 4 5
1 3 2
2 2 5
0 1 5
2 5 0
1 2 2
4 2 4
2 3 0
3 4 5
1 3 4
10 2
0 1 0
1 3 2
3 0 0
0 2 0
2 2 1
0 2 1
3 0 3
3 3 0
1 2 2
2 3 0
10 7
0 3 2
0 1 0
0 3 3
2 3 2
1 3 1
1 2 2
1 3 0
0 3 1
2 0 1
1 1 2
10 7
4 3 3
2 3 2
2 2 3
1 1 0
3 2 5
3 0 3
0 0 2
1 0 4
5 3 5
5 5 2
10 3
1 2 3
2 0 4
3 2 0
3 0 4
1 4 1
4 4 3
3 4 1
4 1 2
4 4 1
2 3 2
10 9
0 0 1
3 0 2
3 4 0
3 2 1
4 3 1
4 4 3
4 1 2
2 4 4
1 0 4
1 3 1
10 2
2 1 0
2 2 1
0 1 2
0 2 1
2 2 0
1 0 0
1 2 1
0 0 0
1 1 0
0 0 2
10 8
1 2 2
1 2 1
2 1 1
2 2 2
1 0 0
2 0 2
1 2 0
2 0 1
0 2 0
0 1 0
10 9
2 2 0
2 2 1
1 0 1
1 2 2
1 0 0
0 0 2
1 2 1
0 2 0
2 2 2
1 1 2
10 4
4 3 0
1 2 1
0 1 4
2 0 4
2 4 4
0 0 3
3 1 0
3 1 1
0 2 3
2 2 3
10 4
2 1 1
1 2 1
3 1 1
2 0 3
3 2 2
0 2 0
2 3 1
2 0 1
3 3 1
1 3 1
10 2
3 3 0
4 5 1
3 2 0
1 1 2
5 5 3
4 0 3
0 0 3
5 0 3
0 0 2
2 3 5
10 6
5 4 3
3 2 2
0 0 3
1 5 0
2 1 5
3 2 0
5 3 3
4 0 3
3 5 0
1 0 4
10 4
1 0 2
3 2 4
4 3 3
3 3 3
4 0 1
0 0 3
4 1 3
2 4 2
2 0 0
4 4 4
10 8
2 2 2
1 0 0
1 2 1
3 1 0
0 3 0
1 2 0
3 0 2
1 1 2
3 0 0
1 2 3
10 4
3 0 1
2 0 0
1 2 3
0 4 1
2 3 3
0 0 0
2 1 1
0 1 2
1 2 0
0 2 2
10 4
2 2 2
0 2 2
2 2 0
1 1 2
1 2 2
2 1 2
0 1 0
0 2 0
1 0 2
2 1 0
10 3
1 1 4
4 4 3
0 3 1
2 1 1
0 1 3
1 2 1
1 2 0
1 3 0
0 0 0
3 0 0
10 9
0 2 0
2 1 2
2 0 1
0 0 0
0 0 1
2 1 1
1 1 0
2 2 2
0 2 2
1 1 1
10 3
4 3 2
3 3 1
0 5 4
4 4 2
5 0 0
5 2 2
2 0 3
4 2 5
3 1 0
4 1 2
10 7
1 0 1
1 2 2
2 0 0
1 2 0
3 0 3
0 1 0
3 3 0
0 2 3
0 0 2
0 0 3
10 7
4 1 0
0 1 0
3 3 4
3 0 2
4 0 2
4 3 4
4 1 4
3 0 4
0 4 4
3 1 4
10 8
2 3 0
4 4 0
0 3 3
4 0 4
4 3 2
2 4 4
0 3 4
2 0 0
2 1 3
4 1 2
10 2
1 3 3
3 2 3
1 3 0
2 3 0
3 3 0
0 0 1
2 0 1
0 3 0
0 1 2
1 1 2
10 8
1 5 5
3 2 1
1 2 3
1 3 5
2 5 3
0 5 4
3 4 4
4 1 5
5 3 3
3 1 2
10 6
5 1 1
0 0 0
0 3 4
2 1 5
5 3 1
1 3 3
4 0 2
1 4 2
1 2 0
0 4 4
10 9
1 3 2
1 0 4
4 3 1
3 1 0
1 4 0
4 1 3
4 1 1
1 1 0
4 2 2
2 4 2
10 3
2 2 2
1 0 3
3 3 0
0 3 2
1 1 2
1 2 3
0 3 3
1 1 1
0 1 1
2 3 0
10 8
1 2 0
1 0 1
0 0 2
0 0 0
0 0 1
1 1 0
0 1 0
0 2 1
1 0 0
1 1 1
10 4
2 2 2
1 2 2
1 0 2
2 2 1
2 0 2
2 0 1
2 0 0
0 0 1
0 1 2
0 0 0
10 6
1 1 2
3 1 4
4 2 0
4 1 2
4 4 4
1 2 0
3 2 0
2 0 4
4 2 2
1 4 0
10 6
4 3 2
3 3 2
1 0 1
2 1 3
1 2 1
4 1 2
4 0 0
3 2 1
3 1 3
3 1 4
10 8
2 1 5
5 2 4
1 4 5
0 2 4
5 4 1
1 3 1
5 4 3
0 3 4
4 5 3
3 1 3
10 9
1 1 1
2 0 0
0 2 1
1 3 3
1 1 3
0 3 1
3 0 1
0 2 2
3 3 3
1 0 2
10 7
0 1 2
1 2 1
3 3 0
2 1 2
3 1 2
1 0 0
3 1 3
0 0 3
2 1 0
2 0 3
10 3
0 2 0
1 2 0
0 0 1
0 2 1
0 1 0
0 2 2
2 1 1
2 1 2
0 1 1
0 1 2
10 6
0 1 1
3 3 2
4 4 0
5 3 1
4 5 0
4 2 2
0 1 4
4 0 0
1 4 5
4 0 4
10 5
0 1 2
1 1 2
2 0 0
0 1 1
1 1 1
1 0 0
0 0 0
1 2 2
0 2 0
2 2 2
10 6
0 3 0
1 2 3
3 1 3
2 1 2
1 0 0
3 2 2
2 3 3
2 1 0
1 3 0
2 2 0
10 2
0 4 3
1 1 1
2 3 2
3 1 1
0 2 3
3 3 4
4 3 0
0 2 2
3 3 1
1 4 1
10 9
2 1 1
2 0 0
0 0 0
1 0 1
0 2 0
2 1 0
1 0 0
1 1 2
0 0 2
2 2 0
10 6
3 3 5
4 3 2
1 3 5
0 2 3
1 0 1
3 4 5
1 4 0
3 4 2
0 3 1
3 2 0
10 8
2 1 4
0 1 3
4 1 3
3 0 3
0 0 3
2 2 1
2 3 0
2 1 3
3 0 1
0 2 2
10 6
1 3 3
2 3 1
0 1 4
0 0 4
2 0 4
0 3 1
4 0 2
0 3 0
2 2 3
4 3 2
10 2
2 2 0
3 0 1
1 2 3
0 1 3
1 3 1
1 1 1
2 2 1
2 1 0
0 3 3
2 1 3
10 6
3 2 0
3 2 3
2 0 1
3 0 0
3 3 2
2 0 2
2 1 2
2 1 0
0 0 0
2 0 3
10 5
3 1 4
0 2 3
2 0 2
1 4 3
1 1 1
1 3 1
1 2 1
4 0 3
4 2 2
1 1 3
10 4
0 3 1
2 1 3
3 3 0
3 3 2
3 2 0
0 0 3
3 2 2
1 2 1
3 0 1
1 0 2
10 5
2 3 0
5 0 2
5 3 2
4 4 2
5 1 2
5 0 4
3 5 5
3 3 4
5 2 0
3 0 4
10 9
1 1 2
2 1 2
0 0 0
0 0 2
0 2 0
1 2 2
2 2 2
1 0 1
2 0 1
2 1 0
10 3
0 0 2
1 3 0
1 3 3
2 1 1
2 0 0
0 0 1
1 1 3
3 0 1
1 1 2
3 1 2
10 7
2 3 0
1 1 0
3 0 3
2 1 3
3 1 3
0 0 1
0 3 2
1 1 2
2 1 2
3 2 1
10 6
4 3 1
1 0 4
0 2 5
1 4 2
1 4 4
4 4 1
2 4 4
2 0 1
2 0 2
4 0 4
10 5
1 2 1
0 2 1
2 0 2
1 0 1
0 1 1
0 0 0
2 2 0
2 1 0
1 0 0
1 2 2
10 4
1 1 1
0 4 3
4 0 2
4 2 2
1 4 1
1 3 4
2 0 2
0 4 2
1 1 3
2 1 1
10 9
4 4 2
3 1 0
3 1 2
2 2 3
4 3 1
1 1 4
4 3 4
1 4 0
1 3 5
0 4 4
10 2
3 2 2
2 2 1
1 0 0
1 1 0
0 1 1
0 2 2
1 3 1
1 3 2
2 2 3
2 3 2
10 4
5 1 2
4 3 1
3 2 5
2 3 3
3 0 5
3 5 2
2 1 4
1 5 3
5 1 5
3 4 3
10 2
2 0 1
2 1 3
3 1 1
2 3 1
2 2 0
0 2 3
1 1 2
0 0 1
1 3 0
1 2 2
10 5
2 0 3
3 1 2
0 1 1
0 1 3
1 3 2
2 2 1
1 2 2
1 0 1
2 3 0
1 3 1
10 9
3 1 2
3 5 2
4 5 0
2 3 5
2 4 4
2 3 3
4 3 0
2 2 4
2 2 5
0 1 3
10 9
0 0 1
2 0 2
2 2 1
0 2 1
3 1 2
2 1 3
2 0 1
1 2 1
1 0 2
0 1 0
10 6
2 3 0
2 2 3
1 1 1
3 4 4
3 1 5
5 5 3
0 0 2
1 4 0
3 0 2
5 2 5
10 4
1 1 0
0 3 3
1 0 3
2 0 3
0 1 2
2 2 0
3 3 0
2 2 3
1 2 0
1 0 0
10 9
1 1 2
1 2 3
3 0 0
3 2 3
0 3 3
1 2 2
2 3 2
0 0 0
0 1 2
3 0 3
10 5
2 2 0
1 1 1
3 0 0
0 1 0
3 1 3
0 3 3
3 0 1
0 3 2
3 3 2
3 1 0
10 7
2 1 0
1 1 2
1 0 2
0 2 0
0 2 2
2 1 1
1 1 1
0 0 0
0 1 0
2 0 2
10 9
1 2 3
0 2 3
1 0 1
0 0 0
3 0 0
1 2 2
2 3 2
2 0 2
1 2 1
3 2 0
10 4
3 1 2
0 0 0
1 1 1
2 1 2
0 2 3
1 0 3
1 0 2
0 2 2
0 3 3
2 3 0
10 6
2 3 1
5 3 4
1 5 3
3 0 4
5 4 1
0 1 4
1 5 1
0 3 0
3 2 1
4 1 4
10 4
1 1 3
3 3 1
1 3 2
2 2 1
2 1 4
0 1 0
0 4 1
0 4 3
4 0 2
1 1 4
10 7
0 0 5
3 0 3
5 0 5
5 1 4
5 2 1
5 1 3
1 3 5
1 0 1
2 0 1
0 2 3
10 5
1 2 1
1 2 2
3 3 0
2 3 1
3 3 3
1 3 1
2 1 3
0 0 1
2 3 2
0 1 1
10 7
3 1 0
0 3 0
3 3 2
3 3 1
0 2 1
0 1 2
2 1 2
1 0 3
2 2 1
3 2 3
10 2
1 4 2
2 4 0
1 4 0
3 4 4
3 0 1
1 2 3
4 2 4
2 1 4
4 3 0
3 1 4
10 3
3 3 1
1 4 5
2 0 5
3 3 2
2 4 2
3 2 0
1 4 4
3 2 4
4 2 4
1 3 0
10 4
0 3 1
1 0 2
0 0 1
2 2 1
1 0 0
2 0 3
2 1 2
0 1 1
3 3 1
3 2 2
10 3
3 0 3
1 3 3
1 3 2
1 1 2
0 1 2
0 1 3
0 3 1
3 2 3
1 2 0
0 3 2
10 8
1 1 0
0 0 1
2 2 2
0 0 0
2 1 0
1 0 0
2 2 0
1 2 1
0 1 0
1 2 2
10 8
2 2 1
1 2 4
4 2 1
4 2 4
0 1 3
1 4 0
1 1 4
4 0 1
3 2 2
0 0 2
10 5
3 5 3
3 2 1
5 2 2
3 0 5
0 5 3
2 3 4
3 4 2
2 4 0
1 5 4
5 3 1
10 9
1 2 1
0 1 1
0 0 2
2 2 0
2 0 2
1 2 2
1 0 0
0 2 2
1 0 1
1 2 0
10 9
2 3 1
1 1 0
3 3 0
0 1 3
0 0 3
0 2 0
3 1 2
0 2 1
1 0 2
3 1 1
10 6
1 0 1
2 2 1
3 1 1
3 0 0
1 0 2
0 1 3
2 3 0
3 0 3
3 1 0
0 1 1
10 6
1 0 1
0 0 2
1 1 2
1 2 0
0 0 0
0 2 1
1 2 1
0 0 1
1 2 2
2 2 2
10 4
0 0 2
0 2 2
0 2 1
1 1 0
0 0 1
2 0 1
0 0 0
0 1 2
1 1 1
1 2 2
10 4
5 5 3
4 4 0
5 2 1
1 4 5
4 5 3
0 1 0
2 4 5
3 5 5
1 0 3
4 1 0
10 4
3 2 1
3 1 1
0 4 3
0 3 4
2 2 0
3 1 4
1 2 4
2 1 4
0 3 1
0 2 1
10 4
1 5 2
4 3 2
5 0 5
3 1 4
1 4 0
4 5 0
2 0 0
1 5 1
0 2 3
1 4 2
10 7
3 1 0
0 2 0
0 2 1
2 3 2
1 2 0
2 2 1
3 2 2
0 1 3
0 0 1
1 0 3
10 7
4 4 0
1 0 0
3 0 5
3 2 0
0 5 3
2 2 2
4 0 2
5 3 3
5 3 1
0 4 0
10 8
3 3 3
0 3 2
2 0 1
0 1 0
0 1 2
3 2 1
1 3 2
1 3 3
1 1 2
2 1 2
10 2
5 5 4
2 1 2
1 5 5
4 2 2
4 5 3
3 0 2
0 3 1
5 0 2
0 5 2
0 2 2
10 5
4 0 1
1 1 3
0 1 2
4 2 0
1 2 2
0 0 4
3 4 3
2 3 1
1 0 2
1 4 1
10 9
4 2 4
5 3 2
4 0 3
1 0 0
1 0 5
4 3 2
3 4 0
5 1 1
2 5 0
3 2 1
10 6
1 3 0
1 2 2
3 0 3
0 0 2
2 1 1
1 1 2
0 2 2
2 3 2
1 2 0
1 3 3
10 4
2 0 0
1 1 0
0 2 1
2 0 1
0 2 2
0 0 0
2 1 2
1 1 2
2 1 1
0 1 1
10 9
3 1 0
1 1 0
4 2 4
2 0 2
3 2 4
2 1 3
1 1 4
3 0 3
2 3 0
2 1 0
10 9
0 2 1
0 2 0
2 1 2
1 0 1
0 1 0
0 0 2
1 0 0
1 2 0
1 1 0
2 1 1
10 4
2 3 3
3 2 2
0 0 2
0 1 3
2 2 0
2 3 1
1 1 3
3 0 1
3 0 3
0 2 0
10 8
1 2 2
0 2 2
2 1 2
0 0 1
1 2 1
2 1 0
1 0 2
2 2 0
2 1 1
2 0 2
10 6
5 5 5
1 5 3
0 4 1
4 0 2
2 3 3
4 3 0
2 3 4
3 5 0
1 2 4
4 4 5
10 6
0 3 2
2 2 1
3 1 1
2 1 1
1 3 3
2 1 2
1 1 0
1 2 0
1 3 0
2 1 0
10 2
3 3 4
0 3 1
2 4 4
0 0 4
2 4 1
4 1 2
1 3 3
4 4 1
1 4 0
1 3 0
10 7
0 2 2
1 2 0
1 1 2
2 1 1
1 0 0
2 0 0
0 2 1
0 2 0
2 2 1
2 0 1
10 9
2 2 2
0 0 1
0 0 2
0 2 1
1 1 0
2 1 1
1 2 1
1 2 2
2 0 0
2 0 1
10 9
3 4 4
2 0 3
3 2 4
1 0 4
4 0 1
0 1 0
1 3 2
4 3 0
3 3 1
2 2 0
10 2
0 2 1
0 1 1
1 1 1
2 0 1
2 0 0
2 2 1
0 2 2
0 2 0
2 0 2
1 0 1
10 3
0 4 0
2 0 0
2 4 2
0 1 2
3 4 4
4 2 4
2 3 2
0 4 4
4 3 2
1 1 2
10 2
4 0 0
2 4 5
4 0 4
4 1 5
5 3 0
0 1 5
4 5 2
4 1 0
3 0 3
3 0 2
10 4
0 0 3
0 2 4
3 3 4
1 1 1
2 5 4
4 1 1
3 0 5
1 5 3
3 2 4
2 3 0
10 5
1 1 0
2 1 0
2 2 1
2 1 1
2 0 2
0 0 0
0 2 1
1 0 2
1 2 1
1 2 2
10 3
1 2 4
0 1 1
3 1 1
1 3 3
2 1 1
3 3 0
4 2 0
4 3 4
3 0 2
3 3 4
10 5
2 3 2
2 1 0
1 4 4
0 3 2
2 5 3
0 4 5
1 5 5
4 0 1
0 4 0
0 4 1
10 7
0 3 0
1 3 3
1 3 2
1 2 2
1 2 1
2 3 2
2 3 3
3 2 2
2 1 3
2 2 2
10 7
1 1 0
2 0 0
1 0 2
0 0 1
1 1 1
2 1 1
0 0 2
0 2 0
1 0 1
2 1 2
10 8
0 1 1
0 0 1
2 2 2
0 2 0
0 1 0
2 0 0
1 2 1
0 0 0
2 2 1
2 0 1
10 9
3 1 3
0 3 2
0 3 0
0 2 0
3 2 1
2 2 2
1 2 2
0 1 2
2 3 0
1 0 2
10 6
2 2 0
2 1 1
2 2 2
1 2 0
1 0 2
2 0 1
1 1 1
1 2 1
0 2 2
0 0 1
10 2
2 0 1
2 0 2
2 2 1
0 0 1
2 2 2
0 2 2
1 2 1
0 0 2
1 0 0
2 1 2
10 7
1 1 1
1 1 2
0 2 1
1 2 0
2 1 0
2 1 2
0 0 0
1 2 2
0 2 0
0 1 2
10 9
2 2 1
3 1 0
1 0 1
3 1 2
2 2 0
1 1 3
0 3 1
1 0 3
0 3 3
2 1 0
10 9
0 1 1
0 1 2
0 2 1
0 0 0
1 2 0
0 1 0
1 0 0
1 0 1
2 0 2
0 2 0
10 8
5 0 2
2 1 1
1 2 3
4 3 0
1 1 0
3 0 2
5 3 2
4 4 4
4 5 3
0 5 4
10 5
5 4 4
2 0 5
5 5 4
4 3 2
2 5 3
4 0 2
4 1 1
1 0 5
5 3 1
1 3 0
10 5
1 3 3
3 3 0
3 3 3
1 3 2
1 2 3
1 0 1
3 3 1
2 2 0
2 1 0
2 1 2
10 3
1 4 2
0 3 5
3 0 2
5 0 0
5 4 1
5 1 2
3 4 5
5 5 2
4 3 0
2 0 1
10 4
2 0 1
0 2 0
0 1 0
1 2 2
0 2 2
1 0 2
0 1 2
0 0 1
0 1 1
2 2 0
10 7
3 2 1
4 0 2
0 4 1
4 4 1
1 1 2
3 4 0
1 3 4
4 2 4
4 2 2
2 1 4
10 5
4 0 3
4 2 0
2 2 1
3 0 0
0 1 2
0 4 1
2 3 4
0 0 4
1 0 3
1 2 0
10 2
3 4 0
4 1 5
4 0 3
5 2 2
3 3 1
1 3 3
5 2 3
4 4 1
5 1 5
0 3 0
10 3
4 2 3
4 2 4
0 2 1
2 4 3
2 1 3
4 2 1
3 3 0
0 0 0
4 0 1
1 0 2
10 7
0 1 0
3 3 1
2 1 2
0 2 3
0 2 1
0 2 2
0 0 2
2 3 2
2 3 3
2 3 0
10 2
2 2 2
1 2 1
3 3 0
0 2 1
0 2 0
0 0 3
0 0 0
3 0 2
1 3 2
3 2 2
10 3
1 2 0
4 0 4
0 1 4
4 1 4
0 4 4
3 2 0
4 3 1
4 4 2
2 4 1
3 2 4
10 2
4 2 5
0 4 0
5 3 2
2 4 0
5 5 5
1 4 3
5 4 0
2 3 4
0 1 4
3 5 4
10 3
2 3 0
3 0 0
1 4 3
1 3 0
2 1 2
3 4 3
1 2 3
2 4 1
0 3 0
2 3 3
10 3
1 4 0
3 0 2
1 2 3
3 4 4
3 2 2
0 3 1
2 0 0
3 4 3
2 2 3
1 2 1
10 7
3 1 0
0 5 3
1 5 3
1 4 5
4 0 2
3 0 4
2 3 0
0 2 4
4 2 5
1 1 5
10 6
2 2 1
0 0 2
1 0 0
0 2 2
2 1 2
1 1 2
0 0 0
0 1 2
1 1 0
2 0 0
10 8
3 0 0
4 4 1
4 2 1
1 1 2
0 2 4
4 1 0
4 1 1
2 3 4
0 1 3
0 2 3
10 8
0 0 2
1 0 4
4 4 0
0 1 2
4 1 2
1 4 2
0 3 1
4 3 4
3 1 1
0 4 1
10 2
2 1 2
2 1 1
0 0 3
1 1 2
1 3 0
3 2 2
0 0 2
0 2 0
1 0 1
2 3 2
10 7
1 0 1
0 0 2
0 2 0
0 0 1
0 2 1
1 0 0
1 1 0
0 2 2
0 1 0
2 0 2
10 4
2 3 0
1 3 2
2 2 2
0 2 2
1 1 3
2 3 3
1 0 0
0 2 0
2 0 2
0 3 1
10 6
1 3 2
1 3 3
2 1 2
3 0 3
1 2 0
0 2 2
2 3 0
1 1 0
2 3 2
2 2 1
10 6
1 1 3
3 0 2
1 0 0
0 2 3
3 1 3
0 3 3
1 2 3
0 2 0
1 0 3
3 1 2
10 6
2 1 1
2 0 0
0 0 0
1 0 0
0 0 2
1 1 0
2 2 1
2 1 0
2 1 2
2 0 2
10 7
2 1 0
3 0 3
1 0 3
3 3 1
3 1 3
1 2 2
2 0 1
3 3 0
0 1 0
0 2 0
10 8
1 4 1
2 4 0
0 4 4
4 0 1
2 0 2
4 1 0
0 4 0
1 1 3
0 0 3
1 4 4
10 7
0 2 5
3 3 0
0 1 0
0 0 1
2 1 5
2 2 2
1 2 3
0 4 1
4 3 2
1 4 3
10 2
1 0 4
0 5 1
1 4 2
2 4 3
3 2 2
5 2 3
3 3 2
4 5 1
0 5 3
4 3 0
10 7
2 3 2
0 0 3
1 2 2
1 3 2
2 0 0
3 1 2
3 3 1
1 1 2
0 2 3
3 3 3
10 3
2 2 4
4 1 3
2 3 2
3 1 0
0 4 3
0 1 2
4 4 0
3 4 0
2 4 3
3 3 4
10 6
5 5 1
2 2 2
5 1 2
1 0 4
0 5 4
3 1 5
2 1 0
5 5 2
5 1 1
0 2 0
10 5
5 4 1
0 2 3
3 0 5
5 1 4
0 5 0
5 5 1
5 3 2
2 1 3
3 3 4
3 5 5
10 2
1 0 5
4 3 3
4 0 4
3 5 4
3 4 5
1 4 2
0 0 0
1 2 3
5 2 5
1 0 3
10 5
0 2 2
2 1 1
2 2 2
0 1 0
2 0 1
0 0 2
1 0 1
1 0 2
2 0 0
0 2 1
10 6
2 1 4
2 0 1
1 3 1
3 1 0
0 3 4
2 0 3
4 3 0
0 1 1
4 4 3
0 1 0
10 7
3 0 1
4 0 0
2 2 3
3 4 4
2 1 2
4 2 3
0 4 2
4 3 4
4 0 3
0 0 2
10 9
1 1 0
2 1 1
2 2 1
0 2 1
2 2 2
1 1 1
1 2 0
0 0 0
2 0 2
2 0 0
10 8
1 0 2
0 0 0
1 2 2
0 2 2
0 0 1
0 1 2
2 0 1
2 1 0
1 2 1
1 0 0
10 4
1 1 3
2 0 1
0 0 1
0 3 2
2 0 0
1 3 1
2 3 2
1 0 0
0 1 2
2 3 3
10 2
1 1 0
0 1 2
1 2 1
0 2 0
2 1 2
2 0 0
1 2 0
0 0 1
1 0 0
2 0 2
10 5
1 2 2
3 0 3
1 3 1
1 2 3
0 2 1
2 0 2
3 1 0
3 1 3
0 1 1
2 1 1
10 8
3 1 2
5 3 1
1 3 1
5 5 4
4 1 4
3 3 4
5 4 4
5 2 2
1 2 2
1 3 5
10 4
1 1 2
0 2 0
0 1 2
0 1 1
2 2 1
1 0 0
0 2 2
2 2 0
1 0 2
0 1 0
10 3
0 1 2
0 1 1
1 1 0
1 0 2
0 0 1
1 1 1
2 1 2
2 2 2
2 2 0
0 0 0
10 9
4 2 4
2 0 5
0 5 5
2 3 1
4 3 3
2 4 4
2 0 4
4 4 1
4 5 5
2 0 1
10 3
3 3 1
2 4 3
1 4 2
5 4 4
1 3 5
2 2 0
3 0 1
1 2 5
5 2 4
4 5 2
10 9
2 1 1
3 2 2
1 1 0
1 2 1
0 3 3
0 1 0
2 2 3
3 1 3
3 1 1
0 2 3
10 7
3 4 1
2 0 2
1 1 3
3 3 0
3 1 3
4 3 4
1 4 3
3 0 1
3 2 4
2 0 1
10 4
2 3 0
3 2 2
2 2 2
2 1 1
3 2 1
1 0 1
2 3 3
3 1 1
1 0 3
0 1 1
10 6
2 1 0
0 1 0
0 2 0
0 3 2
2 1 1
3 2 0
1 2 3
3 2 1
1 3 2
2 0 0
10 9
1 4 2
2 3 2
1 3 1
1 0 1
2 4 0
4 3 3
0 3 4
2 3 4
4 3 2
4 0 2
10 7
2 0 4
4 4 0
3 3 1
1 0 4
3 0 1
3 2 2
4 3 3
3 4 3
2 1 4
4 2 3
10 5
3 4 0
2 0 4
1 2 3
1 3 2
1 0 2
3 3 2
4 2 4
4 1 4
0 4 0
2 0 0
10 3
0 1 2
2 2 2
0 0 2
2 2 0
1 1 2
0 2 1
2 2 1
2 1 2
0 2 2
2 1 1
10 6
1 2 1
0 2 0
1 2 0
2 2 2
1 0 0
2 2 0
1 1 0
2 1 1
0 0 1
2 1 2
10 7
4 3 4
2 4 1
1 1 2
2 0 4
1 2 0
0 4 4
4 4 2
2 4 3
0 3 1
4 3 3
10 6
4 2 1
4 4 0
1 3 4
4 2 2
4 0 4
3 4 4
4 1 0
1 2 0
3 0 4
0 0 2
10 8
4 4 4
0 3 2
3 4 1
3 0 0
2 3 2
1 1 3
0 0 4
4 3 1
1 3 1
2 2 1
10 6
2 2 3
0 3 1
1 3 3
1 1 0
3 0 2
2 1 0
1 3 2
3 2 0
1 0 3
3 3 3
10 2
1 4 3
3 2 3
0 1 1
4 1 2
1 4 4
1 0 0
4 4 4
1 0 1
1 3 0
0 4 3
10 9
1 1 2
3 1 1
2 1 1
1 2 2
3 1 0
0 0 2
0 1 1
1 0 3
2 2 2
2 3 2
10 4
1 3 0
0 0 0
3 2 2
3 1 3
2 1 1
2 2 3
2 2 1
1 1 2
3 1 2
2 0 3
10 8
3 0 0
1 4 4
4 0 3
2 2 0
3 3 0
0 0 1
3 4 1
2 1 2
4 2 4
2 2 2
10 6
2 3 3
0 4 0
3 2 2
0 2 3
0 2 1
3 3 4
0 1 2
0 1 4
1 0 2
3 3 1
10 7
1 3 2
1 3 1
2 2 1
2 1 3
0 2 0
2 0 1
3 0 2
1 3 0
3 1 3
1 3 3
10 3
0 3 2
1 1 0
3 0 3
3 3 2
2 2 1
3 2 2
0 0 0
3 3 1
2 0 3
2 1 2
10 2
2 2 0
0 0 0
0 1 1
1 1 1
0 0 1
0 0 2
2 1 2
2 0 0
2 2 2
1 1 0
10 5
1 1 3
1 4 3
4 1 2
0 4 0
4 4 1
1 0 3
0 1 4
2 0 1
0 1 2
1 1 4
10 4
3 2 2
4 4 0
3 0 2
4 3 3
1 3 0
2 4 4
2 1 3
3 3 0
4 4 4
2 4 2
10 4
1 1 0
4 3 1
4 4 5
0 2 2
5 1 2
4 3 5
1 1 1
3 2 5
2 1 5
4 3 0
10 3
0 3 3
0 0 1
3 0 2
0 1 2
0 1 3
1 1 0
2 3 1
0 2 0
2 2 1
2 1 0
10 3
5 0 4
3 2 3
3 3 3
2 5 3
2 5 4
5 1 1
5 5 5
2 0 3
0 4 4
2 3 4
10 7
2 2 0
1 1 1
0 0 2
0 1 0
1 2 0
1 0 0
1 2 2
2 0 1
1 2 1
2 0 0
10 7
3 3 1
2 0 3
2 0 1
2 1 2
3 2 3
0 0 2
0 3 3
1 3 2
2 2 2
0 3 1
10 7
4 3 0
0 4 0
4 4 4
4 4 3
2 0 0
2 2 4
3 2 4
0 2 4
2 3 2
3 4 0
10 6
2 2 3
0 3 1
2 0 3
1 2 1
3 2 1
2 0 0
0 2 1
0 2 2
1 0 0
1 3 1
10 5
5 3 5
2 2 3
1 2 0
3 2 0
0 0 2
2 2 5
1 1 3
3 4 2
0 2 1
2 5 1
10 6
2 3 3
2 1 3
0 0 3
1 2 2
0 3 2
3 3 0
1 0 1
3 2 0
3 3 2
2 1 1
10 6
5 4 5
3 5 3
4 4 4
5 5 0
1 2 0
1 2 4
5 1 1
4 5 5
3 3 2
0 2 2
10 3
2 0 4
4 5 5
3 5 5
3 2 2
0 1 4
4 0 5
2 2 3
1 0 4
0 4 0
1 2 4
10 9
3 3 0
1 1 3
2 3 2
3 4 0
3 5 4
0 1 4
4 2 1
1 4 1
2 5 3
5 3 2
10 5
2 3 3
1 1 0
4 3 3
3 1 0
2 2 4
4 3 0
0 4 2
2 0 1
0 0 0
1 2 4
10 6
0 1 2
1 2 0
2 2 1
2 2 0
1 2 2
0 0 0
2 2 2
2 0 0
2 0 1
1 0 2
10 9
0 3 2
4 0 4
4 2 1
1 0 4
2 0 3
3 2 0
2 4 4
3 2 4
3 2 2
4 3 0
10 2
2 3 0
2 2 3
2 1 3
0 3 2
1 3 2
2 3 2
2 2 1
1 3 0
0 2 1
2 2 0
10 7
2 2 2
0 2 1
1 2 3
3 0 3
3 1 2
3 3 1
1 1 0
2 1 2
0 0 0
0 3 0
10 7
0 3 3
3 1 0
0 0 3
2 1 3
1 2 3
2 2 0
3 2 1
2 3 0
1 3 2
3 3 1
10 7
2 0 3
2 3 3
0 0 3
0 0 2
2 3 2
2 0 0
0 1 0
2 0 2
3 1 2
0 0 0
10 8
3 1 1
0 0 0
4 5 5
5 5 0
5 3 4
3 3 1
2 2 1
4 4 5
1 0 0
1 4 0
10 7
2 2 0
2 3 0
0 1 2
2 0 0
0 2 2
3 2 3
1 0 3
0 3 1
3 1 1
3 1 2
10 4
3 0 0
4 4 4
5 5 2
4 4 1
1 4 2
4 4 0
0 1 0
0 5 5
0 4 2
1 4 1
10 9
0 1 2
0 2 2
1 1 1
1 2 0
0 0 0
0 2 0
2 2 0
0 1 1
1 2 2
2 1 2
10 5
1 0 0
3 0 3
1 0 3
0 0 1
0 2 2
1 2 0
0 3 0
0 1 3
0 2 0
2 0 3
10 3
2 4 4
1 2 2
4 2 2
1 0 1
0 0 2
3 0 2
3 0 3
4 1 0
0 0 0
1 1 1
10 8
1 2 1
1 1 1
1 2 3
2 2 3
3 2 3
0 3 2
2 3 1
0 2 1
0 0 1
3 2 0
10 3
2 2 2
2 2 1
0 2 3
2 0 1
1 2 3
2 1 1
2 0 3
3 3 0
2 2 3
1 2 0
10 3
1 2 1
2 2 0
2 3 1
0 0 1
1 3 1
4 0 2
2 2 3
0 4 1
4 2 4
0 4 4
10 3
1 5 1
0 0 5
3 2 1
2 4 5
1 3 5
4 0 3
0 2 5
4 0 5
3 2 3
3 2 5
10 4
3 1 5
2 4 1
4 1 0
1 3 5
0 5 0
3 4 3
1 3 3
4 5 3
2 5 2
1 1 0
10 2
0 3 2
3 5 3
4 0 2
2 0 5
1 5 4
4 5 1
0 1 1
0 4 3
3 0 3
0 1 5
10 4
2 2 0
4 1 0
0 0 5
4 5 4
1 4 0
4 1 3
2 2 1
0 3 3
3 2 4
0 0 3
10 7
4 2 0
2 0 0
0 3 3
1 3 1
2 4 0
1 4 1
4 1 2
2 1 1
2 0 3
1 3 2
10 2
0 2 3
2 0 0
3 2 3
1 0 1
3 3 2
3 1 3
0 0 3
1 1 3
0 2 0
3 2 0
10 4
0 0 2
2 2 2
0 1 0
1 1 2
2 1 1
1 1 0
0 2 2
3 2 0
2 0 2
0 3 3
10 9
3 3 3
4 0 1
3 3 4
2 4 4
0 2 1
1 4 4
3 4 0
4 0 3
3 1 0
4 0 2
10 6
4 0 4
3 4 1
2 4 1
0 5 3
0 1 5
1 2 5
2 2 1
4 1 4
0 1 2
1 5 1
10 9
0 0 3
1 1 0
0 3 0
2 0 0
1 2 0
1 3 0
2 2 3
1 3 1
0 1 1
0 2 1
10 9
1 0 2
0 2 0
1 0 1
2 0 1
1 1 2
1 1 0
1 0 0
2 1 0
1 2 0
2 0 0
10 8
1 2 3
1 1 2
3 0 3
3 1 3
1 1 1
3 1 2
0 0 2
3 3 3
3 2 1
3 1 0
10 7
0 0 1
2 1 0
2 2 2
2 1 2
1 2 1
2 0 2
2 2 0
2 1 1
1 0 0
0 1 2
10 6
5 5 1
1 0 3
4 0 3
2 2 4
4 3 5
0 4 5
2 5 3
0 0 4
4 1 5
4 4 1
10 9
0 2 0
1 0 2
0 1 2
2 2 0
2 2 1
0 2 1
0 0 2
2 0 1
0 1 1
0 1 0
10 5
1 4 4
2 2 3
1 1 3
0 2 4
4 3 2
3 4 4
4 4 4
3 2 3
1 3 3
3 1 0
10 9
1 2 3
3 1 2
0 1 0
2 3 3
2 1 0
1 3 2
1 2 1
0 0 2
0 0 3
0 1 1
10 9
3 0 0
2 1 4
3 2 4
0 2 2
4 2 0
1 2 4
3 3 4
2 1 0
0 0 2
4 3 3
10 8
1 4 3
1 3 1
3 1 3
2 2 2
2 2 1
3 0 3
1 4 4
3 2 1
3 3 0
3 4 2
10 6
3 1 0
3 1 1
3 1 3
2 3 2
2 3 3
2 3 1
0 2 0
3 2 0
0 1 2
1 1 2
10 7
2 2 1
0 4 1
0 2 0
3 0 1
1 3 0
3 1 2
3 2 0
2 4 0
3 2 4
4 0 0
10 6
3 2 2
1 0 3
3 3 2
5 4 1
0 1 2
5 1 2
1 2 3
0 0 1
4 3 4
3 4 3
10 9
2 3 2
1 3 3
3 3 1
1 2 1
2 2 1
2 0 2
0 1 2
2 2 0
0 1 3
0 1 1
10 2
1 2 4
0 2 4
1 2 0
3 3 1
1 3 4
0 3 1
3 3 2
2 3 4
1 3 0
1 2 3
10 9
0 2 0
2 0 0
1 2 0
0 0 2
1 0 0
0 1 2
2 1 2
1 0 1
1 1 1
2 1 1
10 8
0 0 3
2 2 3
3 1 3
1 0 2
2 3 3
1 0 0
2 2 2
0 3 2
2 3 0
1 2 3
10 3
3 3 0
1 0 2
2 0 2
1 3 1
1 1 2
1 2 0
3 1 0
1 2 3
3 2 2
2 1 1
10 5
0 0 1
0 0 2
1 1 0
1 0 2
2 2 0
2 0 1
1 0 0
1 2 0
2 1 1
0 2 2
10 7
3 0 4
1 2 4
2 0 4
1 1 4
4 3 3
4 3 1
3 4 0
1 2 3
2 3 3
2 3 1
10 2
0 0 4
5 1 1
5 0 2
2 1 5
1 0 5
2 2 4
1 1 4
4 3 4
1 0 3
4 0 2
10 3
4 2 1
3 5 0
5 5 5
0 5 3
5 1 5
1 2 2
4 1 5
0 0 3
5 0 2
3 3 2
10 6
0 1 4
4 2 5
0 5 3
4 0 5
5 3 4
4 4 5
3 3 5
5 3 2
0 1 3
1 3 1
10 3
2 0 2
2 0 0
1 2 0
2 2 0
3 1 0
1 2 1
3 0 2
1 1 0
2 1 1
2 1 3
10 9
0 0 1
1 0 0
2 2 1
0 1 0
1 0 2
0 2 1
0 1 2
2 2 2
0 0 2
1 2 2
10 5
3 1 3
0 2 1
1 3 3
4 2 2
0 4 2
2 1 1
3 4 4
1 0 2
3 0 4
4 0 4
10 6
1 0 1
1 2 1
1 0 0
2 1 1
0 2 0
0 0 2
0 1 1
1 1 1
2 2 1
0 2 2
10 8
3 1 2
4 3 1
2 2 4
0 0 3
1 3 4
4 1 1
1 3 1
1 0 4
2 1 0
0 3 0
10 8
2 2 1
2 3 1
0 1 4
3 1 2
3 1 1
4 2 0
3 0 1
3 2 1
2 4 0
1 0 4
10 3
1 0 1
0 2 2
2 1 1
2 2 0
0 1 1
2 1 2
2 0 2
2 2 1
1 2 0
0 0 0
10 4
3 2 2
4 3 2
3 0 3
1 2 1
1 3 1
1 2 3
4 4 2
0 1 4
4 1 3
4 4 1
10 9
3 1 1
1 1 0
2 3 1
1 0 1
2 0 2
2 0 1
0 3 0
1 3 3
3 2 3
0 3 2
10 2
4 3 3
4 1 1
1 3 1
4 4 0
3 0 3
0 4 4
1 0 1
0 1 3
0 2 1
4 0 3
10 6
4 0 3
0 0 1
1 0 2
1 2 4
2 4 0
2 4 3
4 2 0
3 4 3
0 3 0
3 1 0
10 6
4 2 0
2 4 4
4 0 1
4 3 0
3 1 3
2 1 0
1 3 0
4 2 4
2 2 3
3 3 1
10 4
0 3 3
4 0 2
5 4 3
2 3 1
5 0 1
0 1 3
1 3 2
4 5 1
2 0 2
5 4 0
10 4
1 4 1
2 1 3
3 3 2
3 1 0
2 3 0
1 3 1
3 2 3
0 0 2
0 0 4
4 2 3
10 8
0 0 0
2 1 0
1 2 2
2 0 2
1 2 0
0 2 1
1 1 0
2 0 0
2 1 1
0 1 0
10 7
3 0 0
1 0 4
1 4 0
2 2 4
2 3 1
1 2 4
3 4 1
3 3 2
2 3 2
4 1 2
10 3
1 0 1
1 2 0
0 0 0
0 0 2
1 2 1
0 1 2
0 1 1
2 1 0
1 1 1
0 1 0
10 5
2 4 0
3 4 4
2 5 5
4 3 5
5 1 3
5 0 5
0 4 0
3 2 1
2 0 2
3 0 0
10 6
3 1 2
2 3 1
3 1 1
1 3 1
1 0 2
3 2 0
2 1 2
0 2 2
2 0 3
1 1 3
10 9
3 5 1
2 2 4
0 2 0
1 2 2
1 4 2
5 2 0
4 5 1
0 5 3
2 2 1
5 4 5
10 5
1 1 2
0 1 2
2 0 1
2 2 2
2 2 0
1 2 2
1 1 1
2 0 0
2 1 2
1 0 0
10 4
1 0 1
2 2 1
2 0 0
2 2 2
2 1 1
1 2 2
1 2 0
2 0 2
2 1 2
1 1 1
10 9
3 4 2
0 2 0
2 1 1
1 4 2
2 4 4
1 0 3
0 1 0
3 2 1
0 3 4
4 0 2
10 3
3 2 3
2 0 1
2 0 2
2 3 3
2 3 2
0 1 1
2 1 3
3 3 3
2 2 3
2 1 1
10 3
0 1 2
1 1 1
2 1 2
1 1 2
0 0 1
1 2 1
0 2 2
0 0 2
2 0 2
2 2 1
10 7
2 3 2
0 5 5
0 4 0
1 2 2
3 5 5
1 2 0
0 4 3
4 0 0
3 1 3
2 2 1
10 9
1 3 1
2 2 3
3 0 1
1 2 3
3 0 0
2 3 0
2 3 3
0 3 3
0 3 2
2 0 1
10 7
0 5 4
5 0 4
3 4 5
4 1 2
0 1 5
1 1 2
1 3 2
5 0 3
4 0 3
0 1 3
10 4
0 4 5
4 4 0
4 4 1
3 3 3
2 1 3
4 5 2
1 4 2
4 1 5
3 5 4
0 5 4
10 8
0 1 1
1 0 0
2 2 2
1 1 1
2 0 2
1 0 2
2 2 1
2 1 1
1 2 1
0 2 0
10 9
0 0 2
4 4 2
4 4 4
1 1 2
3 1 1
0 2 2
1 3 2
2 2 0
2 0 1
3 2 4
10 2
1 1 2
3 2 3
1 1 0
1 2 1
2 3 0
1 0 2
2 1 2
2 1 3
1 3 2
1 3 1
10 4
4 1 4
2 0 0
3 1 2
3 4 4
2 2 2
2 2 4
4 3 3
2 1 0
3 2 1
3 0 1
10 6
1 1 0
1 2 2
2 0 1
1 1 1
2 1 2
0 2 0
1 2 1
2 0 0
1 2 0
1 1 2
10 8
0 2 0
2 1 0
2 1 2
0 1 2
1 1 1
1 0 2
0 1 1
1 1 0
2 2 0
0 2 1
10 2
2 1 2
1 0 0
1 0 2
0 2 1
2 1 1
2 1 0
1 2 2
0 2 0
1 1 0
0 1 0
10 8
2 3 1
3 0 2
2 1 2
3 3 0
3 1 1
2 3 0
2 2 2
3 2 3
2 0 0
1 1 0
10 7
2 3 1
1 0 3
3 3 3
2 0 1
0 3 1
2 1 0
3 2 0
1 0 0
3 3 2
3 0 2
10 6
5 0 5
0 4 0
1 5 5
1 5 3
2 4 2
4 3 5
5 1 0
0 2 2
0 0 2
4 4 1
10 5
2 0 0
3 0 1
1 0 3
3 3 3
3 3 2
2 2 2
0 1 1
3 2 3
3 1 3
1 3 0
10 8
2 3 0
3 4 2
3 2 1
1 2 0
0 4 4
0 1 3
2 2 1
1 2 2
3 4 3
3 3 4
10 3
3 0 4
3 0 1
3 3 4
3 4 2
4 4 4
1 1 2
1 1 1
2 1 2
1 4 3
0 4 4
10 9
3 1 2
1 3 3
4 2 1
4 1 3
3 2 1
4 3 4
0 3 1
2 1 2
2 4 0
1 3 0
10 9
1 0 1
2 0 1
2 2 0
1 2 0
2 1 2
0 1 2
1 2 1
2 2 1
0 2 1
0 0 0
10 4
1 0 0
1 4 4
4 2 0
3 2 4
0 0 3
4 1 0
1 1 1
1 0 1
1 1 2
0 0 4
10 3
3 1 3
4 3 3
0 3 2
2 2 4
2 1 4
0 1 2
3 1 0
3 2 1
2 4 1
4 3 2
10 9
0 0 4
4 3 1
0 2 4
0 2 3
1 3 4
3 0 3
4 1 0
2 1 0
3 3 2
4 3 4
10 5
0 2 0
2 2 2
0 0 2
2 0 2
1 2 1
1 0 1
1 2 0
0 1 1
2 0 0
2 2 0
10 6
1 2 2
2 0 0
1 2 0
0 1 2
1 0 0
0 0 1
0 1 0
2 0 2
2 2 1
2 1 1
10 3
1 0 2
2 3 0
0 3 1
0 3 2
1 2 0
2 2 1
0 2 3
0 2 0
2 3 3
1 2 3
10 3
1 2 3
1 1 1
1 3 1
2 3 2
0 2 3
1 0 0
3 3 1
3 3 3
2 0 1
0 1 0
10 4
1 2 2
2 1 2
1 0 0
0 0 2
2 0 1
1 2 0
2 2 2
2 2 0
0 1 1
1 1 1
10 5
1 0 0
2 0 1
2 0 0
0 1 1
0 2 0
2 1 0
1 0 2
1 2 1
0 2 1
0 0 2
10 7
0 1 1
0 1 2
3 2 2
2 2 2
3 2 0
1 3 3
2 1 1
0 0 2
1 1 3
3 2 1
10 2
2 0 0
1 0 2
2 0 1
1 2 2
0 2 0
2 0 2
2 2 2
2 1 0
2 1 2
1 1 0
10 7
2 3 2
3 0 0
2 0 2
0 3 0
3 0 1
3 0 3
2 1 0
3 3 0
0 3 1
1 0 2
10 9
1 0 2
3 0 1
4 0 1
3 2 0
0 0 3
0 0 2
2 4 4
0 2 2
4 4 1
0 3 2
10 7
3 1 1
1 1 3
1 2 3
1 1 1
2 0 1
1 2 1
1 3 3
1 0 1
2 2 1
3 2 0
10 5
0 1 4
5 2 5
3 1 2
3 3 0
0 4 3
1 0 1
5 0 2
0 0 0
4 0 3
2 2 4
10 4
1 2 1
4 2 5
1 1 1
4 2 0
0 4 1
2 0 1
4 5 4
4 4 1
5 2 4
2 4 5
10 4
4 4 2
0 1 2
0 4 5
2 0 0
4 3 3
3 0 3
1 4 3
1 3 4
0 3 1
0 5 0
10 7
2 0 2
2 0 1
1 2 2
0 0 2
2 2 1
2 2 2
0 2 2
2 1 2
1 0 2
2 1 1
10 7
1 0 5
4 2 5
0 4 1
2 1 0
2 1 3
1 3 0
4 1 5
1 1 0
0 1 2
4 3 1
10 5
1 2 1
0 2 0
0 0 0
2 1 0
1 1 1
0 2 1
1 2 0
2 1 1
1 2 2
2 0 1
10 5
2 0 2
3 3 1
2 3 1
3 2 1
0 0 3
1 0 3
2 1 2
3 1 0
2 2 0
2 3 2
10 9
3 5 1
2 3 3
4 5 3
5 4 2
2 2 0
0 4 4
5 1 0
4 1 2
1 5 2
3 2 3
10 7
4 1 1
0 3 3
1 3 3
4 1 3
4 4 4
4 0 2
4 0 0
1 0 2
1 2 4
2 0 2
10 9
2 2 2
2 0 1
1 1 1
0 1 1
2 0 2
0 1 2
2 1 1
1 0 0
0 0 1
0 2 2
10 9
0 0 2
1 0 1
0 3 4
5 3 5
0 3 5
1 2 0
2 5 5
3 2 3
2 2 5
0 5 2
10 7
2 0 2
2 1 1
2 0 1
1 0 2
0 2 1
1 2 2
0 0 2
1 0 0
2 0 0
1 1 1
10 7
0 0 4
4 2 0
2 0 2
0 0 0
1 0 3
1 3 4
4 1 4
0 2 0
0 1 2
4 4 0
10 3
0 3 3
3 3 1
2 2 3
4 1 0
1 1 2
5 2 0
5 2 1
5 3 2
4 0 3
0 5 3
10 8
3 4 3
2 2 5
4 4 5
5 1 2
3 5 5
0 3 4
2 5 2
4 0 0
1 0 5
4 4 0
10 4
3 0 1
3 3 1
2 3 1
3 1 0
0 0 3
1 1 1
3 2 1
3 2 0
3 3 2
2 2 2
10 7
3 5 5
5 4 4
3 5 0
1 5 3
3 2 2
1 5 5
5 5 2
1 1 1
0 0 0
1 3 0
10 7
5 4 5
4 3 5
5 0 1
4 5 4
3 2 4
3 0 4
0 1 1
2 0 2
1 0 1
5 3 2
10 8
3 5 3
3 2 0
4 4 0
2 2 3
3 3 5
3 4 4
5 3 3
2 3 0
2 1 2
0 4 1
10 3
2 1 0
5 3 2
2 2 5
1 3 5
5 1 5
1 1 0
5 4 2
5 3 3
1 0 5
5 4 1
10 4
3 2 2
2 2 3
3 1 2
2 2 2
3 0 0
0 0 3
3 3 1
0 0 2
3 1 3
2 1 1
10 5
0 3 1
3 3 2
2 2 0
3 3 1
0 1 0
2 2 2
0 0 3
3 0 1
2 3 2
1 0 3
10 6
0 1 0
2 3 3
3 3 2
3 2 3
0 1 3
3 0 3
3 0 1
0 0 1
0 3 3
0 0 0
10 4
2 3 3
3 0 2
3 0 3
2 1 3
0 2 3
2 1 1
2 0 0
1 1 0
2 2 3
2 0 3
10 6
0 1 2
2 0 2
3 1 0
0 2 1
0 1 4
4 4 1
1 2 4
1 3 0
3 3 4
3 2 0
10 9
2 0 0
1 3 2
0 2 1
2 0 1
1 1 1
2 3 1
3 2 0
2 3 3
3 1 2
1 2 3
10 5
5 1 4
3 2 0
0 2 3
1 3 1
5 3 1
4 3 0
2 1 1
5 4 5
4 0 1
3 1 4
10 3
3 0 2
1 1 2
1 4 1
3 1 1
3 4 1
4 1 0
4 2 4
0 3 2
0 2 3
3 2 1
10 2
0 0 2
1 1 2
1 1 1
1 0 2
1 2 1
0 1 1
2 0 2
1 2 2
0 0 0
1 1 0
10 2
3 1 1
0 2 3
0 3 3
3 0 0
2 3 2
3 0 1
2 2 1
3 2 3
2 0 0
2 0 3
10 6
4 0 4
2 2 0
3 2 1
1 0 0
2 1 1
3 2 0
3 0 1
1 2 2
2 1 3
0 2 4
10 4
2 1 0
3 0 2
0 3 4
1 3 3
1 0 3
1 0 2
3 3 0
2 2 3
4 4 4
2 1 4
10 3
2 3 1
1 2 3
2 0 2
3 0 2
1 3 1
0 0 3
0 1 0
3 3 0
2 2 3
1 1 1
10 4
1 1 1
2 3 1
4 1 1
4 2 4
2 1 0
0 3 3
1 4 4
3 2 2
4 3 1
3 4 1
10 5
3 2 1
0 4 2
1 2 0
2 2 1
1 4 0
4 3 0
2 1 4
0 3 3
3 3 0
0 0 2
10 5
1 0 4
3 3 2
2 3 1
0 0 2
4 2 1
4 4 3
3 3 1
2 2 4
2 1 2
4 4 0
10 5
0 2 2
2 0 0
0 2 0
2 2 0
0 1 1
0 1 2
1 2 2
2 1 2
1 0 1
0 0 1
10 8
0 1 0
2 1 3
2 1 0
2 3 3
4 2 0
1 3 0
4 3 4
1 4 0
2 3 0
1 1 2
10 6
1 2 2
1 0 2
2 1 2
1 1 1
2 0 0
0 0 0
0 1 2
2 1 0
1 1 0
0 2 0
10 5
5 5 1
1 0 3
4 4 0
4 0 5
2 1 3
2 0 2
0 3 3
4 4 1
3 5 0
3 1 3
10 8
1 1 2
0 1 2
2 1 2
2 0 0
2 1 1
2 2 1
0 0 0
0 0 2
0 2 0
0 2 1
10 6
2 2 2
0 1 1
0 2 1
0 0 1
0 2 2
0 2 0
1 2 2
0 1 2
2 2 0
1 0 2
10 3
3 1 2
1 4 2
1 4 1
0 1 1
0 1 0
3 1 3
1 0 4
4 4 3
0 3 3
0 4 1
10 3
1 1 0
1 0 1
0 0 0
0 1 0
0 1 2
2 1 0
2 2 2
1 2 2
2 2 0
1 1 1
10 8
5 0 0
0 5 4
1 3 5
0 0 1
1 4 2
4 5 0
3 3 4
0 4 2
3 2 0
2 1 5
10 4
0 0 1
2 3 2
3 0 1
2 2 3
0 3 3
0 3 0
3 2 2
0 1 2
3 3 1
3 2 3
10 9
1 3 2
2 1 0
3 2 1
1 2 2
1 1 2
3 2 0
3 3 2
1 0 1
0 3 1
0 0 3
10 4
5 4 3
0 0 1
3 0 1
1 5 3
0 5 5
0 4 3
5 2 4
5 0 4
0 3 4
1 0 4
10 7
3 1 0
0 2 0
2 2 1
1 0 2
1 0 0
2 2 0
0 3 3
3 3 3
1 1 0
1 2 3
10 3
1 1 0
2 0 1
1 2 1
2 1 2
1 1 2
1 0 2
2 0 2
0 0 0
1 0 0
0 0 1
10 4
2 2 0
1 0 1
0 1 3
4 0 0
2 1 0
1 3 3
1 2 2
3 0 3
0 1 4
3 0 1
10 5
2 0 2
1 1 0
1 0 1
2 2 2
2 0 0
2 1 1
0 2 1
0 2 2
0 1 1
0 0 1
10 7
2 0 2
2 0 4
1 4 4
1 2 3
1 3 4
1 0 0
1 4 2
0 1 2
0 3 2
2 2 3
10 7
3 3 3
1 0 0
4 0 2
1 4 1
2 4 0
4 4 4
2 4 2
2 3 0
0 0 0
1 0 3
10 8
1 1 0
1 1 2
0 2 1
1 1 1
0 1 2
0 2 2
2 0 1
2 0 0
0 1 0
0 0 0
10 6
3 1 2
0 2 0
3 0 3
0 0 2
3 2 3
3 1 0
3 3 3
0 3 3
0 0 3
1 3 0
10 6
0 0 0
1 3 4
4 3 3
0 2 0
3 1 0
2 1 1
1 2 2
1 2 3
3 2 1
1 3 1
10 3
0 0 0
1 2 0
0 0 2
2 0 1
0 1 1
0 2 0
1 2 2
1 1 0
0 0 1
0 1 0
10 5
2 1 0
1 2 1
1 1 2
1 0 1
0 0 2
2 2 0
1 1 0
1 2 2
0 1 1
2 0 0
10 2
5 4 5
5 2 0
5 0 5
2 1 2
0 0 0
4 4 5
1 0 3
0 0 4
1 3 4
2 0 2
10 4
5 5 0
3 3 1
1 2 2
5 2 5
0 3 3
3 5 1
4 2 5
4 1 5
3 4 5
0 5 1
10 2
1 3 4
4 4 0
3 0 2
3 3 4
3 2 4
2 0 4
2 0 0
0 0 1
2 1 4
1 4 0
10 5
4 0 3
0 3 4
2 0 4
2 2 3
0 1 4
3 3 1
3 2 1
1 0 0
2 1 1
4 4 2
10 9
2 0 2
3 1 1
2 3 2
2 2 1
2 1 3
0 0 0
0 2 1
2 3 0
3 2 0
0 1 3
10 5
0 3 1
0 0 2
0 2 0
0 3 0
2 0 3
3 3 2
0 0 0
3 2 3
0 2 3
1 2 3
10 3
3 4 4
1 4 4
2 4 2
0 4 4
2 1 0
0 3 3
2 1 3
1 0 0
2 4 1
1 4 3
10 9
2 1 2
0 2 0
2 2 2
2 0 2
0 1 2
1 0 1
2 2 1
1 0 0
2 1 1
2 0 0
10 5
3 0 4
1 0 4
2 0 1
4 3 2
4 2 3
2 2 3
4 4 4
0 0 0
1 4 2
0 1 3
10 9
0 2 3
0 2 2
0 1 3
0 1 1
3 0 0
0 0 0
3 0 3
3 3 3
3 1 3
3 1 2
10 6
3 1 0
1 1 2
1 3 0
3 2 0
1 3 1
3 3 3
0 1 3
3 0 3
3 1 3
0 1 1
10 7
0 5 2
2 4 5
3 4 1
3 1 4
2 2 4
4 3 2
2 0 1
2 1 4
3 4 5
1 0 0
10 6
2 2 2
0 2 0
2 1 0
2 0 0
1 0 2
2 1 2
1 1 1
1 1 0
0 1 1
1 1 2
10 8
4 1 1
1 0 2
4 2 1
0 4 2
4 2 0
0 2 4
0 3 1
4 0 2
0 3 2
0 1 0
10 2
3 3 3
3 0 4
0 3 1
1 4 1
4 0 0
0 1 2
3 2 0
2 1 3
4 2 1
3 1 2
10 9
1 0 0
2 0 0
1 0 1
2 0 1
0 1 0
0 1 1
0 0 0
0 0 1
1 1 2
2 0 2
10 9
3 0 4
2 4 2
2 3 2
2 2 0
2 2 4
3 3 1
0 1 3
3 3 3
1 3 1
3 2 0
10 7
3 2 3
2 4 1
0 3 1
3 1 2
1 0 0
3 3 1
1 4 4
3 0 1
2 4 0
0 4 4
10 3
1 2 3
3 3 2
2 0 0
3 2 3
0 1 3
0 3 1
0 0 2
1 1 1
3 1 3
2 0 2
10 3
0 0 2
0 2 2
1 0 1
1 2 1
1 1 1
2 0 1
1 0 2
0 1 1
0 1 0
1 2 2
10 6
3 2 3
2 3 2
2 0 1
2 3 1
0 3 3
0 3 2
0 0 2
2 2 1
2 0 3
1 2 2
10 5
3 2 0
2 3 1
1 2 1
3 0 1
0 3 3
3 1 0
2 1 0
1 2 0
3 0 0
0 1 1
10 2
0 2 2
2 1 0
1 1 0
2 0 1
0 0 1
2 0 0
1 2 2
0 1 0
2 0 2
1 1 2
10 8
0 2 1
2 2 0
2 0 0
0 0 2
0 2 0
1 0 2
0 1 0
2 2 1
2 0 1
0 2 2
10 2
4 4 4
4 1 5
0 0 5
2 0 4
0 4 0
4 0 5
2 2 1
1 4 1
1 5 1
1 2 0
10 3
0 4 5
2 0 2
5 3 4
1 3 1
2 2 3
2 2 4
3 3 5
2 1 3
4 1 1
2 1 4
10 2
4 3 2
0 4 2
3 1 3
4 2 0
1 4 4
0 1 4
3 4 1
4 3 1
2 3 4
0 2 2
10 5
3 0 4
3 1 1
0 2 1
0 2 3
3 0 3
2 4 0
2 0 1
0 4 2
2 3 2
0 2 0
10 5
0 4 3
3 0 5
1 1 3
1 3 5
4 3 3
1 2 4
4 1 2
5 4 3
1 4 0
3 3 5
10 3
1 0 3
2 3 2
2 3 1
2 0 1
3 1 1
0 2 0
1 1 0
0 0 1
2 2 2
3 3 2
10 2
3 0 5
5 4 3
0 3 5
4 3 4
3 3 0
2 3 4
0 2 2
4 1 4
4 4 2
5 1 3
10 5
2 0 0
0 1 0
2 0 2
2 2 0
1 2 1
0 0 1
0 1 2
2 2 1
0 2 0
0 0 0
10 3
1 1 2
1 0 1
0 2 2
0 1 2
2 2 2
1 0 0
2 1 0
0 2 0
1 0 2
1 2 1
10 9
1 2 2
1 2 0
2 2 2
2 0 2
2 1 1
0 0 0
1 0 2
1 0 0
1 1 1
1 1 2
10 3
5 5 4
4 5 4
4 5 3
2 0 2
0 0 1
2 4 3
1 0 0
2 5 2
0 1 4
5 4 1
10 4
1 1 2
1 0 0
1 2 1
1 1 1
1 2 0
0 1 0
0 1 2
2 1 2
2 0 0
0 2 2
10 9
2 3 3
1 3 2
3 2 2
4 3 0
3 0 1
3 4 1
2 2 3
0 2 2
2 4 3
2 3 4
10 8
1 0 2
2 2 1
2 0 2
2 1 0
0 0 2
1 0 1
1 2 2
1 2 0
2 1 2
0 2 1
10 6
4 4 4
0 1 2
1 0 0
4 2 4
2 1 2
0 1 3
1 4 1
3 2 3
3 0 0
0 2 0
10 8
3 2 2
1 3 1
2 1 2
2 3 3
3 0 3
1 2 2
1 1 0
0 1 2
3 1 1
0 3 3
10 9
3 3 4
2 4 3
0 0 1
0 3 4
0 5 3
1 5 1
2 3 4
0 2 5
4 5 1
3 2 2
10 5
1 3 0
0 0 2
0 3 3
3 2 1
2 2 2
1 3 2
1 3 1
1 1 0
1 2 0
2 0 3
10 3
4 3 2
0 3 5
4 5 0
0 1 4
4 0 2
5 1 3
2 1 2
2 3 2
4 1 3
2 2 1
10 7
1 2 0
1 1 0
0 1 2
1 1 2
2 0 1
1 0 2
1 0 0
0 2 2
2 1 2
1 1 1
10 7
4 0 0
5 1 2
1 3 0
3 5 2
5 4 3
2 1 2
5 1 1
1 0 3
5 1 5
2 2 3
10 2
1 0 0
0 0 1
1 2 0
1 1 2
2 2 2
1 0 2
2 1 0
2 0 0
1 1 1
2 0 1
10 7
0 1 3
0 2 1
1 1 0
2 3 0
1 0 1
2 3 3
0 3 1
1 1 3
0 2 0
1 0 0
10 2
5 5 5
5 4 2
1 5 5
2 1 1
3 2 2
5 0 1
2 1 4
3 1 1
5 2 2
3 2 1
10 3
1 3 0
0 0 0
2 1 1
0 0 1
3 2 1
0 2 1
3 1 2
3 0 3
1 0 3
2 3 1
10 5
3 1 1
3 1 0
0 1 1
2 2 1
0 0 3
0 0 0
0 0 2
1 1 2
2 1 0
1 1 3
10 3
2 1 1
0 0 1
1 1 1
1 1 2
0 1 2
2 1 2
0 2 0
2 2 1
0 2 2
0 1 0
10 5
1 0 1
1 2 0
1 0 2
1 2 1
0 2 2
2 2 1
2 0 2
0 1 0
2 0 1
1 2 2
10 9
4 1 1
4 0 3
3 2 5
4 1 3
5 2 3
5 2 2
5 3 4
0 4 3
1 3 4
0 2 3
10 8
4 1 1
2 0 0
5 4 0
4 3 1
2 3 0
0 1 5
5 1 3
1 5 1
5 0 5
4 4 5
10 5
3 3 2
0 0 1
0 0 2
1 1 1
3 3 3
3 1 3
2 1 2
1 3 1
1 2 1
2 3 3
10 3
2 2 0
0 1 2
2 0 2
1 0 2
1 1 2
0 0 1
2 0 1
1 1 1
0 2 2
1 2 1
10 6
0 0 2
1 0 2
2 0 2
2 0 0
2 0 1
0 1 1
0 2 0
1 0 1
2 2 2
1 2 1
10 3
1 1 4
1 4 4
0 0 4
2 3 3
4 1 2
2 4 1
1 3 1
1 1 3
0 0 2
1 1 0
10 4
3 4 4
0 3 2
1 4 0
4 1 2
1 2 0
1 0 4
3 3 0
2 2 3
1 3 3
2 4 0
10 8
4 2 4
0 1 1
1 1 1
0 1 0
1 0 1
2 3 1
1 3 2
4 0 0
3 1 2
4 4 4
10 5
0 4 0
3 0 2
3 3 0
0 1 4
1 2 3
2 1 4
0 2 2
0 0 3
0 2 3
2 4 4
10 3
0 3 2
2 0 1
1 2 2
3 1 0
1 3 3
1 3 0
0 1 0
2 3 2
2 0 2
0 0 2
10 3
0 0 1
0 0 2
0 2 1
1 1 1
0 2 0
2 0 0
0 2 2
0 1 2
1 2 2
1 1 2
10 8
0 1 0
2 1 0
2 0 1
1 1 2
2 0 2
2 2 2
0 2 2
0 1 2
1 0 0
1 0 2
10 7
2 1 1
2 2 3
2 2 0
0 0 3
1 1 1
1 0 3
3 2 1
1 3 2
2 1 3
3 1 2
10 3
1 3 0
1 3 1
1 2 1
3 2 3
2 3 1
0 0 3
0 1 3
2 3 2
0 0 1
1 3 2
10 9
4 4 3
2 2 1
4 1 2
1 3 3
3 2 4
4 0 0
2 1 1
0 1 0
0 1 3
2 1 0
10 2
5 2 2
3 3 2
2 5 2
2 2 0
1 1 1
3 2 3
2 3 1
1 4 2
2 3 5
5 0 2
10 3
0 0 2
1 1 1
1 0 0
0 2 2
1 1 2
2 0 2
1 0 2
0 1 2
0 0 1
0 1 0
10 8
0 2 2
0 0 1
1 1 1
2 0 1
2 0 2
1 2 0
2 2 0
1 2 2
0 1 0
0 0 2
10 6
2 3 0
1 3 5
2 5 3
1 4 1
0 2 1
3 1 5
1 3 2
4 3 0
2 3 5
2 4 0
10 6
1 4 2
2 1 4
2 0 3
2 0 1
3 2 0
1 4 4
1 1 0
3 4 1
1 3 0
1 1 2
10 2
2 3 2
2 4 3
2 0 5
0 4 4
1 1 3
2 3 4
5 5 2
3 5 5
3 1 1
4 5 3
10 8
0 2 2
0 0 0
2 3 1
3 2 0
0 1 2
0 1 3
3 0 3
2 2 2
1 3 1
2 3 0
10 4
1 4 4
3 4 3
0 2 2
2 1 4
4 4 3
0 0 4
2 3 4
0 4 3
3 4 0
1 0 0
10 5
2 1 1
5 2 2
1 2 3
2 2 5
4 1 4
3 4 2
4 4 5
0 2 3
1 4 2
5 2 5
10 8
0 2 2
0 2 1
2 2 1
2 0 0
0 1 2
2 2 0
2 2 2
1 2 0
1 2 2
2 1 2
10 8
0 2 0
0 2 2
0 1 2
2 1 0
1 2 2
1 2 0
1 1 1
0 0 2
0 2 1
2 1 2
10 3
0 0 0
2 2 1
2 0 2
0 4 0
1 4 0
1 3 4
3 4 3
3 0 0
1 0 1
4 4 2
10 2
4 3 0
0 1 0
1 1 3
3 4 2
4 1 0
3 0 0
4 3 2
0 4 1
1 1 0
0 0 1
10 3
3 0 4
4 0 0
0 0 2
4 1 4
0 1 2
1 3 2
2 0 3
2 1 0
3 5 3
2 3 1
10 5
2 2 3
3 0 2
2 1 0
2 2 2
1 1 3
1 0 0
2 3 3
1 3 0
3 2 1
2 1 2
10 4
0 0 0
1 2 2
1 0 2
0 1 1
2 1 0
1 1 1
2 2 2
2 2 1
0 0 1
2 0 1
10 9
3 4 3
0 3 3
3 3 0
1 0 2
1 3 4
0 0 2
3 1 4
0 0 0
1 4 3
0 4 0
10 3
0 2 0
0 3 2
2 2 2
2 0 2
5 1 2
4 1 3
4 1 0
2 1 1
4 1 2
3 2 1
10 2
3 2 0
4 0 4
4 4 3
0 3 3
2 3 3
0 2 4
4 0 0
2 1 1
2 3 2
0 0 3
10 3
0 2 2
0 4 1
1 3 3
0 3 4
2 4 1
4 2 0
3 3 3
3 2 3
2 1 2
2 3 3
10 4
4 4 2
1 2 2
2 4 3
1 1 0
1 2 3
0 4 1
3 3 1
2 1 4
1 4 4
1 3 3
10 2
4 1 4
4 1 1
1 3 1
0 4 2
1 1 0
3 3 2
2 4 1
4 3 1
2 3 0
0 3 1
10 7
3 2 0
4 1 3
2 4 4
4 3 3
4 3 4
2 3 1
2 4 1
3 2 3
1 2 1
0 4 3
10 9
1 0 2
2 0 0
1 1 0
0 0 0
2 1 1
0 1 1
2 2 1
0 1 2
2 0 2
1 2 2
10 6
1 1 3
3 2 3
2 2 0
3 1 1
1 2 2
2 3 2
2 1 2
2 1 3
1 3 3
2 1 1
10 7
0 1 0
1 2 0
1 0 0
0 2 0
2 0 2
0 1 1
1 2 1
2 1 2
2 2 0
2 0 1
10 8
4 2 5
5 0 3
2 2 2
0 3 4
1 4 4
3 1 4
1 4 2
1 4 1
3 2 5
2 3 5
10 6
1 0 0
3 1 1
3 3 4
4 3 1
0 2 1
2 0 0
0 2 4
2 2 0
0 1 0
1 4 3
10 2
2 1 0
0 3 1
0 5 5
4 1 5
1 0 5
2 4 2
1 1 4
3 4 1
1 2 5
1 4 4
10 3
2 1 2
1 1 1
0 2 0
2 2 2
0 0 1
2 1 1
2 2 1
2 2 0
2 1 0
1 1 0
10 7
2 0 0
0 0 0
1 0 1
1 2 1
0 2 2
0 0 2
0 1 0
0 2 1
0 1 2
2 1 0
10 7
0 4 3
1 2 1
4 1 2
0 3 3
2 1 1
1 0 4
4 0 3
3 3 3
2 3 4
3 2 2
10 5
3 2 0
3 1 0
3 1 3
2 2 2
0 1 1
0 1 3
0 2 2
2 1 0
0 1 0
3 1 2
10 7
3 2 3
1 0 1
2 1 3
0 3 0
0 3 3
2 0 3
2 3 2
2 4 2
1 1 2
3 3 4
10 6
1 0 2
2 1 0
2 2 1
1 1 2
2 2 2
2 0 2
0 1 1
2 2 0
0 0 2
1 2 2
10 3
4 2 4
3 3 4
3 1 3
5 3 3
1 0 3
2 2 5
0 0 4
5 4 0
4 0 3
3 0 0
10 3
2 2 1
2 2 2
0 1 2
0 0 1
0 0 2
0 2 2
0 3 0
2 0 1
2 1 1
3 3 2
10 2
3 0 0
1 1 4
3 5 4
1 4 1
5 0 3
3 2 4
0 5 5
1 3 4
0 4 1
5 3 2
10 7
1 2 0
0 2 1
0 2 2
2 2 0
2 1 2
2 1 1
1 0 1
1 1 2
1 2 2
0 1 1
10 7
5 4 1
2 3 4
4 0 2
4 3 0
1 5 0
4 1 0
5 4 0
5 2 5
5 0 0
0 1 0
10 4
3 4 1
0 5 3
2 0 4
4 2 3
1 5 5
5 3 0
3 4 2
0 0 0
5 4 0
1 4 1
10 8
1 2 4
3 3 0
1 4 4
1 3 2
0 1 4
2 0 1
0 0 0
0 1 2
0 4 3
3 0 4
10 3
1 1 3
0 1 0
3 0 2
3 1 2
2 3 2
3 2 0
1 2 3
3 3 1
0 0 1
2 2 3
10 3
3 3 2
1 3 0
3 1 2
1 3 2
2 2 3
0 0 3
1 2 0
2 3 1
1 3 3
1 0 1
10 7
0 2 3
0 4 2
2 2 3
2 3 1
4 4 4
0 2 2
0 1 2
4 3 1
2 1 4
1 3 4
10 8
2 1 1
1 1 2
2 1 2
1 1 1
1 1 0
1 2 0
0 2 2
2 0 1
2 0 2
1 0 1
10 8
1 3 2
2 3 1
0 2 2
1 3 3
3 3 0
3 0 2
0 2 1
2 0 2
0 1 0
1 1 2
10 7
0 2 0
1 1 2
2 1 0
0 0 0
1 2 0
0 0 1
0 0 2
1 0 1
0 2 2
0 1 2
10 2
2 0 2
3 1 3
0 0 2
2 1 3
0 0 1
3 3 1
2 0 0
2 2 1
3 2 3
3 2 1
10 6
3 1 3
0 1 3
1 0 0
0 4 4
1 1 1
4 2 4
1 4 4
4 1 3
1 2 1
3 2 0
10 6
1 1 0
1 0 1
0 1 1
2 2 0
0 2 1
1 1 1
2 0 0
1 2 2
1 0 0
0 0 0
10 4
0 1 3
0 4 4
3 4 0
4 2 1
3 5 4
1 3 1
1 4 0
4 3 5
4 4 1
5 5 0
10 8
2 1 2
2 2 3
1 0 0
0 2 1
3 0 2
0 3 0
3 2 1
1 3 2
1 0 3
2 1 1
10 7
1 4 0
2 5 5
5 5 0
2 4 4
3 4 3
4 0 1
5 5 2
3 0 5
1 5 5
3 5 1
10 3
2 1 0
2 0 2
0 2 1
0 2 0
0 2 2
1 1 1
0 0 0
2 1 2
1 1 2
1 2 0
10 3
2 0 0
1 2 2
2 0 2
1 2 0
1 2 1
2 1 1
2 2 1
2 2 0
2 0 1
0 0 0
10 6
1 1 1
0 3 3
0 0 3
3 1 0
3 3 3
0 1 0
3 0 1
0 3 1
3 3 0
1 1 2
10 4
1 3 0
3 0 1
1 2 0
2 1 1
3 2 3
2 2 2
2 3 1
0 3 0
0 2 3
3 3 0
10 2
5 1 5
2 3 0
2 3 1
3 1 3
2 1 1
0 2 1
5 0 0
0 0 4
3 3 2
4 5 4
10 4
4 3 2
1 5 3
5 3 2
1 1 2
4 1 4
1 0 4
1 2 5
1 2 1
4 0 3
4 0 1
10 4
0 0 0
0 2 1
2 0 0
1 3 3
3 3 0
2 2 0
2 2 3
3 3 3
3 2 0
0 3 2
10 6
2 5 0
2 1 5
5 4 4
5 5 0
0 0 1
3 2 5
4 4 1
4 2 1
1 2 0
4 5 0
10 3
2 3 4
2 5 3
1 1 1
0 4 1
5 2 3
4 0 4
5 1 0
5 1 4
1 0 5
2 5 5
10 9
1 3 2
2 2 3
1 1 1
1 1 2
0 0 0
1 3 0
2 1 3
2 0 3
2 2 2
3 2 3
10 5
2 1 2
4 3 4
2 4 5
0 2 4
5 0 2
4 0 4
0 0 0
1 1 1
3 4 3
0 1 0
10 8
3 2 3
3 2 1
2 2 1
0 1 0
0 0 2
0 3 0
2 3 2
1 0 1
1 1 1
3 3 2
10 3
1 3 3
3 4 0
0 0 0
4 2 1
0 3 1
3 4 2
3 4 4
1 1 3
0 0 4
4 2 3
10 9
0 2 0
2 1 2
1 2 2
0 1 2
1 1 1
2 1 1
0 0 1
0 2 2
2 0 2
1 0 2
10 3
4 0 2
3 5 4
0 4 1
4 2 1
4 2 3
3 1 0
4 1 4
3 1 2
0 3 3
5 0 5
10 6
2 3 0
2 2 0
0 2 2
1 1 3
3 0 3
1 2 1
3 1 2
2 0 3
1 2 0
0 3 2
10 8
1 2 3
3 0 0
2 4 1
3 0 2
3 3 2
1 1 1
1 2 1
4 0 3
0 0 2
1 0 3
10 5
1 3 3
1 2 0
2 3 1
2 3 2
1 1 3
3 1 2
3 0 2
1 2 2
1 0 0
2 1 0
10 6
2 2 0
3 1 0
1 3 1
1 2 1
0 0 3
0 2 2
0 3 3
2 1 0
3 0 0
2 1 2
10 7
0 0 3
3 0 0
2 0 1
1 1 0
1 1 1
0 0 1
3 3 2
3 1 2
2 0 0
2 1 3
10 2
0 1 4
4 2 0
4 3 2
3 2 1
4 2 2
0 1 0
5 2 5
1 3 5
4 4 0
3 1 0
10 3
1 2 4
1 2 3
0 1 0
3 1 4
3 2 4
3 3 4
1 1 2
3 2 2
1 3 0
3 2 1
10 4
0 1 4
3 4 0
1 2 2
0 0 4
4 0 0
2 0 1
1 4 1
0 3 2
3 0 2
1 1 3
10 9
3 4 0
1 3 2
5 1 2
5 5 2
5 2 0
3 4 3
3 3 2
5 0 1
5 3 3
2 3 2
10 2
2 0 0
2 1 1
1 1 1
0 0 0
1 2 0
1 2 2
0 2 2
2 2 0
1 1 2
2 1 2
10 5
0 1 2
1 2 2
2 0 2
0 2 0
2 2 2
2 2 0
2 0 1
2 0 0
0 2 2
0 1 0
10 3
2 3 3
2 2 1
1 1 3
2 1 3
3 0 2
1 1 0
2 2 3
3 0 3
3 1 3
0 0 0
10 6
1 0 3
4 1 2
3 3 3
4 4 1
3 4 2
2 4 4
2 0 3
0 4 0
0 4 3
0 3 0
10 2
3 0 4
3 1 2
2 2 2
2 0 0
4 0 2
3 0 1
1 3 1
4 1 2
4 1 3
0 2 2
10 8
5 0 3
1 4 1
0 4 2
1 0 2
4 4 1
1 5 1
0 1 5
4 3 4
0 4 5
0 0 2
10 8
5 3 0
0 4 4
3 2 0
1 1 0
1 1 1
5 5 5
4 1 5
1 3 4
5 1 2
2 1 2
10 8
3 0 0
1 1 4
3 2 5
5 1 2
1 3 0
5 4 1
2 3 2
5 4 3
0 1 4
1 0 3
10 5
1 2 2
4 2 4
0 0 3
4 0 4
3 2 0
1 3 4
1 4 0
2 4 2
1 1 1
2 0 3
10 7
2 0 3
0 3 5
4 2 1
4 0 5
2 3 5
2 2 0
1 0 1
5 2 3
1 1 5
4 3 3
10 4
1 1 1
1 2 1
0 0 1
1 1 0
1 0 2
0 1 2
2 0 0
0 0 0
0 0 2
2 1 2
10 5
3 0 1
3 4 1
2 4 0
2 3 5
4 2 1
1 0 2
2 3 0
3 5 2
5 2 4
2 0 4
10 9
1 0 1
4 1 1
3 0 3
3 4 4
4 3 1
2 4 4
3 2 0
4 0 1
0 2 2
4 0 4
10 3
0 0 0
2 0 1
2 2 0
1 0 1
0 2 1
1 1 2
1 0 2
0 2 0
2 1 1
0 2 2
10 7
4 2 1
5 4 5
1 3 4
5 2 0
3 3 4
5 3 1
5 2 2
1 0 3
4 4 1
1 1 3
10 6
2 1 1
2 0 0
3 1 2
1 3 1
1 0 3
1 0 2
1 2 2
2 0 1
1 2 3
1 1 2
10 2
2 3 2
1 0 0
1 2 3
1 2 2
0 3 1
2 3 3
1 1 3
3 1 2
1 3 3
3 0 3
10 9
0 3 3
0 0 1
0 1 0
1 3 3
3 3 1
2 0 2
0 0 3
2 1 1
2 2 0
3 2 3
10 3
1 3 3
4 5 0
2 5 4
2 0 0
4 0 2
5 0 1
5 1 3
3 0 2
3 1 2
3 1 0
10 3
0 1 1
3 3 3
3 0 0
0 0 2
0 2 2
2 1 2
1 2 2
1 3 2
2 3 2
2 2 2
10 3
3 0 0
0 3 2
3 0 1
2 1 2
0 0 0
1 0 1
2 2 2
0 1 3
0 2 2
2 3 0
10 7
0 0 2
2 1 2
2 2 0
2 0 0
2 1 0
2 2 1
0 1 2
0 0 1
0 0 0
1 1 1
10 7
2 1 1
0 2 2
1 0 0
1 0 2
1 1 2
0 0 1
1 1 0
1 0 1
0 1 2
2 2 2
10 6
5 4 3
5 0 5
0 0 4
5 3 1
1 1 4
1 1 0
3 1 1
4 0 3
1 5 5
1 3 1
10 2
5 5 1
3 4 0
4 3 1
1 5 3
5 0 2
2 0 1
0 1 2
5 0 4
1 3 5
5 5 2
10 2
2 0 1
1 2 2
0 0 1
0 0 0
1 1 1
0 1 1
2 2 0
2 1 2
1 0 0
2 1 0
10 8
4 5 4
1 4 4
3 1 4
0 5 3
1 5 5
4 5 2
0 3 4
2 2 0
2 3 5
4 5 3
10 6
2 5 0
2 0 0
3 0 5
4 3 1
5 5 5
1 4 2
4 5 3
2 1 5
1 5 4
2 1 4
10 8
2 1 1
1 3 4
0 0 2
0 4 4
4 4 1
3 3 1
1 2 0
4 0 3
0 0 1
2 2 4
10 2
1 2 2
2 0 0
0 0 1
1 1 1
0 0 2
0 1 2
1 0 1
2 1 1
2 1 0
2 2 1
10 4
1 0 3
1 1 2
3 3 2
0 2 2
0 2 0
0 2 1
3 2 1
1 3 1
2 3 1
3 2 2
10 5
0 0 0
2 1 0
2 2 2
0 1 1
0 2 1
2 0 0
0 0 2
2 0 2
0 0 1
0 2 0
10 8
2 2 0
4 1 2
4 0 0
2 1 2
3 1 2
1 0 1
3 2 0
2 3 4
4 2 3
2 1 4
10 6
2 4 3
1 5 1
4 1 4
0 3 0
3 4 5
4 2 5
2 1 0
0 1 4
4 5 0
2 5 0
10 8
1 3 2
0 1 0
2 2 2
1 1 2
0 2 3
3 0 0
3 2 0
2 1 1
1 3 0
2 1 2
10 6
0 2 1
2 2 3
1 3 0
3 2 4
2 2 2
4 1 2
0 3 2
4 3 2
1 4 4
0 1 0
10 6
1 1 2
1 0 3
0 0 0
2 3 3
1 3 0
2 0 3
3 1 1
2 2 3
3 0 2
3 0 0
10 9
2 1 5
2 3 4
3 1 2
4 0 5
2 0 0
2 1 3
1 2 4
2 4 4
3 0 3
5 3 1
10 9
1 0 0
2 0 0
0 1 0
0 2 0
1 2 1
1 0 1
2 2 2
0 0 2
0 0 0
1 2 0
10 8
2 2 5
5 3 1
1 3 3
2 3 4
3 3 4
3 4 1
3 5 4
5 4 5
5 4 1
3 5 1
10 7
0 0 2
1 0 0
2 2 1
0 2 0
0 1 2
0 0 1
1 1 2
1 1 0
1 1 1
0 1 0
10 3
3 1 1
0 0 0
3 1 5
3 3 2
2 4 3
4 2 3
3 2 4
1 4 3
0 4 5
1 1 5
10 6
5 4 0
4 3 1
3 2 2
1 2 0
2 0 1
5 4 4
5 0 4
5 4 3
1 2 2
1 0 2
10 7
3 1 2
3 0 3
2 2 0
0 3 0
0 1 3
2 0 3
3 2 0
1 3 3
0 2 3
2 3 1
10 3
2 3 0
2 4 0
1 4 3
4 2 4
3 2 0
3 1 1
4 0 1
1 4 0
4 2 3
0 3 1
10 9
2 0 1
2 2 0
1 1 2
2 2 1
0 2 0
2 2 2
2 1 0
0 2 1
2 0 2
2 1 2
10 6
4 5 2
0 3 4
5 1 4
0 5 1
2 5 2
2 4 4
5 3 1
2 3 1
1 1 5
5 2 2
10 3
1 1 0
0 1 1
1 2 1
1 0 0
2 2 2
1 0 1
0 2 1
1 2 2
2 1 0
1 0 2
10 5
2 0 2
0 1 2
2 3 1
2 2 2
0 2 1
0 0 2
2 2 0
1 1 3
3 2 3
2 1 2
10 9
3 1 1
1 3 4
1 1 2
3 4 4
2 4 1
1 2 3
1 4 1
2 3 4
3 0 3
3 1 4
10 2
1 3 1
2 1 1
1 3 3
1 0 1
3 2 3
0 3 1
3 0 2
1 1 3
1 0 0
1 1 1
10 8
3 1 1
2 3 2
3 2 2
2 3 0
0 1 0
0 2 2
2 2 3
1 3 1
3 2 0
1 0 1
10 6
0 1 1
0 1 0
2 3 3
3 0 0
1 1 1
0 1 3
3 1 0
3 2 0
2 2 3
3 2 1
10 3
0 2 0
0 1 3
3 2 1
0 3 2
2 2 2
2 0 2
3 2 2
1 3 3
2 2 0
0 1 2
10 3
0 3 2
5 1 2
2 2 1
5 2 1
5 1 5
0 1 1
1 5 1
5 3 1
2 3 0
3 5 2
10 7
0 0 2
1 0 0
2 1 3
2 0 0
1 1 0
2 1 2
1 2 0
2 2 3
0 0 3
3 0 0
10 9
2 1 2
2 1 1
0 2 1
1 0 1
3 1 2
1 2 0
3 2 2
0 3 3
3 2 0
2 3 0
10 4
3 4 3
4 2 3
4 2 5
4 2 4
3 0 0
5 1 4
4 3 4
5 3 0
0 3 4
2 0 2
10 8
1 2 0
2 2 0
1 1 0
1 0 2
0 1 2
2 1 1
2 0 2
0 0 1
1 1 2
1 1 1
10 3
1 0 0
3 2 3
3 1 0
2 3 3
0 2 3
2 3 0
1 2 2
2 0 1
0 0 3
1 2 1
10 6
2 2 1
2 1 2
0 1 1
1 2 2
2 0 2
1 1 2
2 0 0
0 1 2
2 2 2
0 0 2
10 8
3 2 4
3 0 1
4 0 3
1 3 5
0 1 2
1 1 4
2 1 1
0 2 4
5 2 4
3 1 2
10 9
2 2 3
0 3 2
3 2 0
3 0 3
3 1 2
0 3 3
1 0 0
2 2 2
0 0 2
1 0 3
10 5
3 2 2
0 2 3
3 1 2
2 2 1
2 0 1
3 0 1
1 0 1
1 2 0
0 0 3
1 2 2
10 9
2 0 1
1 1 2
2 1 0
0 0 2
3 1 0
3 0 1
1 3 2
2 3 2
1 2 0
1 1 1
10 7
1 1 0
0 2 1
2 1 0
2 2 0
0 0 2
2 1 1
1 1 1
2 0 0
2 0 2
2 2 1
10 3
1 3 1
0 3 1
3 0 0
0 2 3
3 1 0
3 2 2
0 1 0
0 2 2
1 2 2
0 1 3
10 8
3 3 4
3 0 0
4 5 1
4 3 3
2 1 0
3 1 3
4 4 4
2 4 5
1 3 5
2 2 4
10 7
4 3 4
0 4 5
5 4 4
1 5 0
2 3 4
4 5 0
3 5 4
5 0 3
5 3 0
3 4 0
10 4
1 2 2
2 2 2
2 0 0
1 0 0
1 1 2
0 2 2
1 0 2
0 0 0
2 1 2
2 0 2
10 5
3 2 0
3 0 0
2 3 3
2 2 3
0 3 2
3 1 3
2 0 0
2 1 1
2 2 0
1 0 1
10 4
1 1 1
0 2 1
0 0 1
2 1 0
0 1 2
1 2 0
1 0 2
0 2 2
0 0 0
2 2 0
10 3
0 3 3
0 1 0
3 0 1
0 1 1
1 0 2
3 0 3
2 2 0
0 0 0
1 3 3
3 1 1
10 2
0 0 3
0 0 1
2 1 3
3 0 0
2 3 2
2 2 1
2 2 3
0 2 2
2 0 2
0 1 2
10 3
3 3 3
2 0 3
0 1 0
1 3 0
0 1 3
1 0 2
1 1 1
2 2 2
1 3 3
0 0 1
10 7
1 2 0
3 3 2
4 1 2
2 3 4
0 2 3
4 4 2
1 3 3
0 4 4
4 1 4
0 3 2
10 2
3 2 3
4 0 2
0 0 2
1 1 4
3 0 3
4 4 4
4 0 3
0 2 0
4 3 2
1 0 2
10 3
2 1 1
2 2 0
1 0 0
0 0 2
1 1 2
2 1 0
1 0 2
1 0 1
1 2 1
0 1 2
10 5
0 4 4
0 3 1
3 1 0
2 3 0
4 4 2
2 2 4
2 2 0
2 4 0
2 1 4
4 1 3
10 5
3 0 4
4 2 3
3 4 4
4 2 2
0 4 4
4 4 4
3 0 3
0 0 4
4 0 0
4 3 2
10 5
3 2 3
1 2 1
0 0 3
0 0 2
2 2 0
2 0 1
0 3 2
0 3 3
2 3 0
3 2 1
10 5
3 1 0
1 1 0
1 2 3
1 3 1
3 0 3
3 0 1
3 0 2
3 1 3
2 0 0
2 1 3
10 5
0 0 2
0 1 1
2 2 2
0 1 0
1 1 2
2 0 2
0 2 2
1 0 1
1 0 0
1 2 2
10 7
3 2 3
1 3 4
0 3 1
0 0 0
2 0 1
4 3 3
0 1 2
3 4 0
3 2 4
4 1 4
10 7
1 1 2
1 1 1
3 1 0
3 1 2
1 1 4
4 4 1
0 2 2
3 2 1
3 4 1
0 3 0
10 7
1 3 3
0 4 3
2 2 0
1 3 0
1 1 4
0 2 1
4 1 2
3 2 0
3 3 3
2 3 4
10 3
2 2 3
1 2 3
3 2 1
0 3 1
2 3 3
0 2 2
3 0 1
2 0 1
1 3 3
2 1 2
10 7
1 3 0
2 4 0
3 2 1
3 1 0
0 3 0
0 3 2
0 4 0
0 0 2
1 2 4
4 4 1
10 4
4 0 3
3 1 4
2 4 1
1 4 2
0 2 4
1 3 1
3 2 0
1 2 0
2 0 3
3 3 0
10 2
2 1 2
1 2 1
2 2 0
2 0 2
0 2 1
2 0 1
1 0 2
0 1 2
2 1 1
1 2 0
10 9
3 0 4
0 1 5
3 1 5
4 5 1
3 0 3
2 4 2
3 3 5
5 2 3
1 5 1
2 2 5
10 4
3 4 4
3 4 2
3 2 1
0 4 4
1 1 0
4 5 0
3 5 1
1 1 3
2 3 3
0 2 0
10 7
2 3 3
2 1 0
2 3 0
3 2 3
0 2 0
3 1 1
2 2 2
2 0 1
2 0 3
1 1 2
10 7
2 3 1
4 2 5
4 1 3
2 0 3
5 4 1
1 1 2
4 2 4
0 1 5
0 0 0
1 4 1
10 4
2 1 3
0 3 2
0 2 1
2 2 1
0 0 3
1 3 3
0 2 3
1 3 1
3 0 0
2 2 2
10 2
2 3 5
2 1 3
3 3 0
4 4 5
0 2 3
2 1 4
0 3 0
3 5 3
3 5 4
2 3 4
10 9
0 2 2
0 1 1
1 0 2
2 0 0
2 0 1
2 2 0
2 2 1
0 1 2
1 2 2
1 2 1
10 8
3 4 2
4 0 4
1 0 3
0 4 3
2 4 4
2 0 1
4 1 4
1 4 3
1 1 2
0 4 1
10 6
1 0 1
0 2 2
2 2 2
2 2 1
2 1 0
1 2 0
1 1 1
1 1 2
2 0 2
1 1 0
10 4
3 4 4
3 1 4
3 1 3
3 4 2
1 3 3
0 4 3
4 2 4
2 1 0
1 0 5
5 2 5
10 3
1 3 0
3 0 2
3 1 3
1 0 2
3 2 2
3 1 2
2 0 1
1 2 3
1 0 0
2 2 1
10 9
4 0 3
1 2 1
0 2 0
4 3 4
3 1 3
2 1 3
3 1 4
2 2 3
3 2 3
3 3 1
10 7
3 1 4
3 0 0
3 1 2
0 4 2
1 1 0
2 4 1
2 1 3
4 4 3
2 1 2
2 3 1
10 7
2 2 2
0 0 0
1 3 3
3 0 1
0 1 3
1 2 3
2 1 0
0 1 1
0 3 2
0 2 2
10 5
1 4 4
1 1 1
2 3 4
2 0 4
1 2 2
3 2 4
3 4 4
3 1 1
4 0 1
3 2 2
10 9
5 1 0
0 2 3
1 5 4
2 3 2
2 3 3
4 0 2
1 5 0
4 3 4
1 0 0
0 0 4
10 7
0 2 0
4 4 4
4 1 2
3 0 4
4 0 3
2 3 2
0 3 1
3 1 4
1 1 1
3 3 1
10 8
2 1 0
0 2 0
2 1 1
1 2 0
2 0 0
0 2 1
0 0 0
2 2 2
1 0 0
0 1 1
10 6
1 2 2
1 1 1
0 1 1
1 2 3
1 0 3
1 0 0
3 3 0
1 3 2
3 0 0
3 3 2
10 3
2 1 2
1 2 2
0 3 2
2 2 2
3 3 0
3 2 0
0 2 3
3 3 1
3 0 0
3 0 2
10 4
3 2 3
0 4 5
1 3 2
2 2 1
4 0 4
4 4 1
5 4 3
3 3 1
1 5 4
3 2 2
10 3
3 1 4
2 5 5
4 3 0
3 1 5
3 3 5
5 4 2
1 5 4
2 2 0
2 1 5
3 2 1
10 9
1 4 5
2 5 3
5 4 1
3 1 4
1 5 2
3 0 3
2 5 2
5 4 3
4 4 4
1 2 3
10 2
1 2 2
2 1 3
1 2 3
1 1 2
2 3 0
0 2 1
3 2 2
3 3 1
3 3 2
0 3 3
10 7
2 4 1
1 3 1
0 3 0
2 0 0
4 4 4
0 1 3
4 2 4
1 4 4
2 2 1
2 1 2
10 4
0 1 0
1 2 2
1 0 1
2 0 0
2 0 1
2 1 2
0 1 1
1 1 0
0 2 2
0 0 2
10 5
2 1 2
1 0 1
1 1 0
2 1 0
2 2 2
1 2 1
0 1 0
2 1 1
0 1 1
0 0 1
10 9
5 5 1
5 5 3
4 3 4
0 2 5
4 3 0
4 3 3
1 0 2
0 4 5
4 5 4
5 3 1
10 5
1 1 0
3 0 4
5 3 4
5 2 2
1 3 4
1 2 0
4 4 0
2 1 4
1 2 5
4 4 4
10 8
1 1 1
2 0 2
2 2 0
1 2 2
1 1 0
0 0 2
2 1 0
0 2 1
0 1 2
1 0 1
10 9
2 0 3
1 3 1
0 0 1
2 0 0
0 2 3
1 2 3
1 3 3
0 2 0
1 1 2
0 3 2
10 5
1 1 0
0 1 0
2 2 2
2 3 2
2 3 1
3 3 3
2 3 3
0 2 3
1 1 1
1 2 3
10 7
2 2 2
0 1 1
0 1 0
3 0 2
0 2 1
0 3 0
0 3 3
1 1 1
3 1 3
2 2 1
10 2
2 3 2
5 5 3
0 5 2
2 4 0
5 5 4
3 0 5
2 2 0
1 2 2
3 3 3
1 5 3
10 3
3 3 0
3 1 1
1 1 1
1 1 3
3 1 2
1 2 1
2 0 0
2 1 2
2 0 2
1 1 2
10 3
3 2 1
3 0 5
2 1 5
0 4 0
3 2 5
4 0 2
4 4 0
3 1 2
1 1 4
2 5 2
10 6
2 3 3
3 3 2
4 3 1
1 1 5
0 4 0
3 4 1
1 5 5
1 3 1
1 2 3
2 4 3
10 4
2 0 0
3 0 1
0 0 2
1 2 0
2 0 1
1 2 2
0 2 3
2 2 1
0 1 2
2 3 0
10 3
1 1 0
1 0 0
0 0 0
0 1 0
0 0 1
1 0 1
0 1 2
0 0 2
1 2 0
1 1 1
10 7
3 0 0
4 4 4
0 1 0
1 3 3
4 1 2
4 3 0
4 2 2
1 4 0
3 0 3
3 3 3
10 3
2 0 1
3 0 1
4 4 4
2 2 0
4 3 1
3 0 4
1 1 2
4 2 4
4 2 0
2 0 3
10 2
3 1 3
3 5 2
0 0 2
0 5 1
1 3 2
1 3 0
5 4 5
5 2 3
2 4 4
4 5 3
10 7
3 5 4
2 1 1
2 0 4
0 2 1
0 1 0
2 1 5
0 5 0
1 2 5
3 1 3
0 2 2
10 3
2 5 5
3 5 4
3 0 0
1 2 3
0 2 3
4 2 4
5 2 5
2 0 5
1 0 4
2 5 2
10 4
4 1 4
1 1 3
0 3 0
3 3 0
0 2 3
1 3 4
2 2 1
3 0 3
3 4 1
1 4 3
10 8
0 4 3
2 2 4
5 0 3
0 0 4
0 2 1
2 4 3
1 2 1
3 5 3
2 1 5
4 5 1
10 5
1 0 0
0 2 2
1 2 0
3 2 0
1 0 3
2 2 2
2 3 3
1 1 3
3 2 1
1 1 1
10 2
4 0 0
3 3 1
1 1 0
3 1 1
2 3 2
1 0 0
0 3 1
3 0 0
0 4 4
0 4 2
10 7
0 0 2
2 1 1
0 1 1
1 2 0
0 2 0
1 2 2
1 1 1
0 1 2
2 2 2
2 1 2
10 6
0 1 3
0 0 4
0 5 4
3 3 4
0 5 5
2 1 3
0 4 2
3 4 2
3 5 3
4 0 2
10 5
1 1 4
2 3 5
1 5 2
2 3 1
0 0 3
1 4 2
4 4 2
5 5 1
1 0 1
2 0 1
10 9
3 1 2
4 1 2
4 3 4
4 2 3
3 4 0
1 3 2
0 4 1
2 0 1
2 3 1
3 0 0
10 2
0 1 0
1 1 2
1 2 0
1 2 2
1 2 1
0 0 0
0 1 2
0 2 2
1 0 2
2 2 0
10 2
2 2 2
1 0 2
2 1 1
1 2 0
1 1 2
0 2 1
0 1 2
0 0 2
2 1 0
1 2 1
10 4
2 3 4
4 1 0
2 0 1
1 2 0
5 3 2
3 0 4
5 0 0
0 5 3
1 0 4
0 3 3
10 8
0 3 3
3 0 1
1 0 1
0 2 2
0 0 2
0 3 2
2 0 2
3 3 0
0 0 3
1 2 1
10 3
1 2 4
1 0 3
2 1 2
0 4 3
3 2 1
1 4 2
3 0 3
1 2 3
2 2 0
3 4 4
10 4
4 4 2
3 2 0
4 3 0
1 4 1
0 1 1
4 0 3
3 3 4
0 2 2
3 0 4
2 4 2
10 7
2 1 0
2 2 2
1 1 0
2 2 0
2 3 1
0 0 2
1 0 1
2 3 0
1 2 3
3 2 2
10 9
3 2 3
5 2 3
5 5 2
2 5 0
1 1 1
4 3 3
1 0 5
0 2 4
4 5 0
2 0 0
10 3
1 2 1
2 1 0
1 0 1
0 0 2
2 2 2
2 0 1
0 2 2
0 2 0
1 0 2
0 0 1
10 3
4 5 3
0 3 4
0 2 3
2 5 2
2 2 3
2 4 1
5 3 2
3 1 0
3 3 1
1 2 1
10 4
0 3 1
2 2 0
3 3 3
0 1 3
1 2 3
3 0 0
2 3 0
1 1 1
2 2 2
0 3 0
10 4
0 2 0
2 0 2
2 3 0
0 0 1
3 2 0
1 0 0
0 1 0
1 3 2
2 2 0
2 2 2
10 8
2 3 3
1 4 3
4 2 5
0 1 2
1 3 3
4 5 1
3 0 1
3 3 3
4 4 1
5 4 1
10 8
1 1 1
2 2 0
0 0 2
2 2 1
1 2 1
1 2 2
0 2 2
1 3 3
2 1 2
2 3 0
10 4
0 3 5
3 3 4
5 0 2
1 1 3
1 0 0
4 2 2
0 1 2
3 4 1
0 4 5
0 2 5
10 3
2 0 0
0 1 3
0 1 0
1 0 5
4 0 1
4 5 5
3 2 1
1 1 3
3 0 3
0 2 0
10 2
1 0 2
2 2 0
1 2 1
1 0 1
0 2 0
2 0 2
2 0 1
2 1 2
0 0 2
0 0 0
10 9
2 0 3
2 2 0
1 2 2
2 1 1
2 3 0
0 2 3
1 1 1
1 0 1
3 3 0
3 3 2
10 6
4 1 2
3 3 4
4 5 2
0 5 5
0 4 5
4 4 4
4 0 2
5 2 1
1 3 2
2 5 5
10 3
2 1 0
1 0 2
0 1 2
0 1 1
0 1 0
2 0 0
1 0 0
0 0 0
2 2 0
2 2 2
10 9
1 1 1
1 3 2
4 3 4
0 2 4
3 2 1
2 1 3
1 1 4
3 1 2
0 3 2
0 3 4
10 5
1 4 5
2 2 2
0 1 1
3 4 3
3 1 2
5 1 1
4 1 0
0 3 5
0 0 2
0 0 3
10 3
1 0 2
1 3 2
0 2 0
0 1 1
0 2 1
1 2 2
3 1 2
3 2 3
3 2 2
2 2 0
10 7
0 1 2
2 2 2
2 1 2
1 2 1
0 2 0
2 1 0
0 0 1
2 2 1
2 0 2
0 1 1
10 7
3 2 0
0 1 2
1 2 0
3 3 1
3 1 1
1 2 2
2 1 1
3 1 0
0 3 2
0 2 3
10 5
2 1 2
0 2 2
2 0 1
0 0 2
2 2 2
1 1 0
2 2 0
0 1 0
0 1 2
2 0 0
10 8
2 3 1
0 0 2
1 0 2
4 4 2
2 0 0
3 1 3
1 0 0
4 3 2
3 1 0
0 3 2
10 8
0 1 0
1 0 1
1 2 2
2 0 0
2 1 2
2 2 0
2 2 1
1 2 1
0 0 2
1 1 1
10 3
2 2 0
0 0 1
0 1 2
0 0 2
2 2 1
1 0 0
1 1 0
1 0 2
1 2 1
2 1 2
10 2
2 4 3
1 4 3
4 1 4
4 0 4
2 1 2
3 1 3
1 2 4
4 2 3
2 1 3
1 2 1
10 6
3 0 2
1 0 2
2 2 0
2 0 1
1 3 3
2 2 1
3 2 2
3 3 3
2 3 1
3 3 1
10 8
3 2 4
4 1 3
5 3 0
4 3 1
4 2 5
1 5 1
0 4 1
0 5 1
2 1 5
2 2 0
10 9
4 2 4
2 2 1
3 5 1
1 2 3
0 3 1
4 1 5
5 2 3
5 5 3
2 5 4
0 0 0
10 2
0 2 1
1 2 0
0 2 0
2 1 1
1 1 2
2 2 2
2 1 2
0 0 1
1 0 0
0 1 1
10 4
3 0 3
3 3 0
1 2 0
2 0 0
2 1 3
0 3 1
0 0 3
3 1 3
2 1 1
2 3 2
10 2
3 0 3
4 3 3
0 2 0
1 1 2
4 3 4
2 1 4
0 4 4
2 3 1
1 3 3
0 3 4
10 9
0 2 0
1 0 2
0 0 2
0 1 0
1 0 0
2 2 2
0 0 0
2 1 2
1 2 0
2 0 2
10 3
0 0 1
1 1 2
0 0 0
1 2 0
2 2 2
1 1 0
0 1 2
2 0 1
1 2 2
0 1 0
10 4
1 2 2
2 3 0
2 3 3
0 2 2
1 1 0
1 3 1
3 2 2
3 1 1
3 3 2
1 3 3
10 5
1 1 0
1 2 1
0 0 2
1 0 1
1 2 2
2 1 2
0 1 1
0 0 1
2 0 2
2 2 1
10 2
3 1 2
3 0 1
1 1 0
3 0 3
0 3 1
0 2 2
2 0 2
2 2 3
3 1 3
3 2 2
10 7
1 3 4
3 4 4
1 1 4
4 2 4
0 0 4
3 2 4
3 1 3
2 4 1
4 0 3
0 0 0
10 9
1 0 1
2 1 2
0 2 0
1 1 0
0 1 1
2 0 1
1 2 1
1 2 2
0 0 0
0 1 2
10 6
2 1 1
1 2 0
1 1 2
1 0 1
2 2 0
0 0 2
2 2 1
1 1 1
0 2 0
0 1 2
10 6
0 0 4
1 0 0
3 1 2
1 2 2
0 3 4
2 0 3
3 0 0
1 4 3
2 1 1
4 3 4
10 2
5 2 2
1 1 2
5 5 3
1 5 4
3 0 0
2 2 3
3 0 4
0 5 2
0 4 4
2 2 0
10 7
0 4 4
3 1 4
2 0 1
0 4 3
2 4 1
0 1 4
2 4 4
1 2 1
4 3 2
3 4 0
10 2
3 2 1
2 3 1
3 4 4
1 2 0
1 2 1
4 1 1
4 0 3
3 0 1
0 0 0
3 2 3
10 3
0 3 2
3 2 0
3 3 2
3 0 3
4 0 4
1 3 0
1 2 4
3 0 0
1 2 0
0 4 2
10 2
3 0 2
2 0 0
2 0 3
0 0 1
1 0 3
2 0 1
0 2 1
1 2 3
0 3 0
1 1 2
10 5
5 5 1
1 4 0
0 4 5
0 3 0
4 3 2
1 5 1
3 1 4
4 5 0
0 5 5
1 0 1
10 4
4 4 4
3 4 4
3 4 2
4 2 2
4 4 0
2 2 1
2 2 2
4 0 1
1 2 4
1 2 3
10 3
0 2 0
1 0 1
1 1 3
0 2 1
2 0 1
3 0 0
3 0 2
1 1 0
3 3 0
2 1 1
10 6
2 1 1
1 1 0
1 2 2
2 2 0
2 2 2
2 0 0
0 1 1
0 1 2
1 0 0
0 0 0
10 9
2 2 1
3 0 3
3 2 0
2 2 3
0 1 3
2 0 0
3 3 1
1 2 3
2 3 0
3 1 3
10 7
2 2 1
1 2 2
0 0 1
1 0 0
0 1 2
2 2 0
0 2 1
0 2 0
1 1 2
0 0 2
10 2
2 2 3
3 0 3
0 1 3
0 2 0
0 0 0
1 1 1
2 0 3
3 3 3
1 0 2
0 3 0
10 2
4 3 3
5 5 2
4 1 0
3 4 2
2 0 1
2 4 1
1 1 2
5 4 5
2 2 1
0 0 1
10 5
3 0 0
1 0 0
4 4 4
4 2 3
1 2 3
4 1 1
0 3 1
2 4 3
0 0 4
0 4 0
10 5
3 3 2
2 2 0
1 3 4
2 1 1
4 1 3
1 2 3
0 1 1
0 4 2
3 4 3
1 1 3
10 4
4 0 3
5 0 2
2 5 3
1 0 4
4 3 4
1 2 2
2 3 3
1 5 4
3 2 3
2 1 4
10 4
4 2 1
3 0 0
2 1 1
1 1 4
4 4 1
2 0 3
3 3 1
1 2 1
0 4 0
0 2 1
10 7
1 3 2
5 2 0
4 5 5
4 0 1
2 0 5
2 2 1
3 1 0
0 5 0
1 2 3
3 3 2
10 9
4 2 5
3 2 5
2 2 1
5 2 1
5 3 3
0 4 4
5 0 4
3 2 4
3 0 5
5 0 2
10 2
2 2 2
4 4 3
4 2 4
3 2 1
0 1 3
0 2 2
1 1 3
0 4 2
3 2 2
0 1 2
10 7
3 3 3
3 2 3
3 1 2
0 1 0
1 2 2
3 4 1
1 3 3
2 1 1
1 1 2
0 4 3
10 3
0 1 2
0 0 0
2 0 0
1 3 0
3 2 0
3 1 2
1 1 2
1 2 2
0 0 1
3 3 2
10 6
2 0 0
0 1 0
0 0 0
2 1 2
0 2 1
2 0 2
0 0 2
2 2 1
0 2 0
0 1 2
10 5
3 3 2
0 1 0
2 1 1
0 0 2
0 2 2
1 2 1
1 2 0
3 0 1
3 0 0
2 1 2
10 9
2 1 0
2 1 1
0 3 1
4 1 1
1 4 4
0 4 2
4 4 1
2 4 2
3 3 4
2 3 3
10 3
0 3 1
0 1 3
4 1 2
1 0 2
4 1 0
1 4 1
2 1 1
0 0 1
0 4 2
0 2 0
10 8
0 2 1
2 2 2
0 1 2
1 2 2
2 0 1
1 0 2
1 1 0
1 1 2
0 0 0
1 2 0
10 7
0 0 4
4 4 2
4 0 3
2 0 3
4 0 0
1 4 0
1 2 3
0 4 4
3 4 3
0 3 3
10 5
5 4 4
5 0 3
5 0 0
1 0 2
0 5 1
3 3 0
5 1 2
3 1 4
2 1 0
0 1 0
10 8
0 0 1
1 0 2
2 0 0
2 1 2
1 1 1
0 0 0
2 1 1
1 1 2
2 0 2
2 2 2
10 6
1 2 0
0 2 2
0 1 1
2 0 1
2 2 1
1 1 2
1 0 1
0 0 0
2 2 2
0 0 1
10 2
0 0 4
4 2 4
4 3 4
0 2 4
3 2 3
3 3 4
3 3 1
2 2 0
0 1 1
4 3 2
10 6
5 0 1
0 3 4
2 3 0
1 4 0
3 3 3
1 1 0
0 1 5
3 5 2
2 1 5
2 3 3
10 3
0 2 5
0 0 2
5 3 1
1 5 0
0 0 3
2 4 4
1 4 3
4 0 3
1 5 5
5 2 0
10 6
0 3 0
2 1 0
2 2 0
1 2 1
2 2 3
3 3 3
1 2 2
3 0 0
1 3 0
0 2 3
10 8
1 5 5
1 0 1
3 2 3
3 0 5
2 1 1
3 0 0
5 0 5
0 4 4
4 5 4
4 3 5
10 9
1 2 3
1 5 5
4 0 3
5 1 3
4 3 0
4 4 3
4 3 2
2 3 3
3 5 2
1 2 5
10 6
1 1 0
2 0 1
1 0 1
2 2 2
2 1 1
1 2 2
1 2 1
0 0 1
0 1 0
2 0 0
10 2
2 0 0
2 1 2
1 1 1
2 1 0
0 1 1
1 1 0
2 0 2
2 2 2
1 2 0
1 2 2
10 5
0 1 3
3 3 1
0 2 3
0 2 4
4 3 3
4 4 4
4 0 0
1 2 3
3 4 4
2 1 3
10 6
0 2 1
2 2 0
2 0 1
1 0 2
1 0 1
0 2 2
1 1 2
0 1 0
1 2 1
2 2 2
10 3
5 1 2
3 5 2
0 2 3
0 3 5
5 4 4
3 0 0
4 3 0
2 0 1
2 2 0
2 1 3
10 4
1 4 5
4 4 1
1 5 0
1 3 5
5 1 2
3 5 2
2 0 1
5 0 2
0 2 1
3 2 5
10 5
2 3 3
1 3 0
1 2 0
0 1 0
3 2 0
2 1 3
0 3 0
1 0 0
0 2 0
2 0 3
10 8
2 2 4
1 3 4
3 0 0
3 2 1
1 1 0
3 2 0
4 1 0
1 3 1
0 2 3
1 3 0
10 3
1 0 1
2 4 0
1 3 1
3 3 4
1 2 3
4 2 0
4 4 2
0 0 1
1 1 2
4 2 4
10 4
2 4 4
3 3 1
4 2 1
3 2 1
4 1 4
4 2 0
1 3 0
0 4 2
2 3 1
1 3 3
10 4
0 4 0
1 4 1
1 0 4
1 1 1
2 0 2
4 4 1
3 3 0
2 0 1
1 4 2
0 3 0
10 6
4 3 0
1 2 0
5 1 1
5 2 3
1 0 2
0 4 2
4 2 0
2 0 0
0 5 2
1 4 4
10 6
2 4 2
1 4 2
3 1 0
4 1 3
4 4 0
3 4 3
1 3 3
4 0 4
3 3 2
2 4 1
10 7
3 5 1
4 4 4
0 2 1
3 0 5
2 4 5
1 5 5
5 3 0
3 0 3
5 3 2
2 0 4
10 6
2 0 3
1 0 4
4 3 4
3 3 2
2 2 4
3 1 4
2 1 2
3 4 0
1 3 2
1 3 4
10 3
2 0 0
3 1 5
3 3 2
3 2 5
1 1 2
1 5 3
2 2 4
1 5 0
1 3 4
2 1 5
10 5
3 2 2
2 5 2
3 4 5
2 4 0
1 0 0
4 1 1
1 4 2
4 5 4
5 4 1
4 0 5
10 4
3 3 0
2 1 2
0 1 0
0 0 0
2 3 1
0 0 3
1 3 0
0 3 3
0 0 2
1 0 1
10 9
0 1 0
1 2 1
1 2 2
2 2 0
1 2 0
1 1 2
2 1 0
0 2 0
1 1 1
2 0 0
10 2
0 3 3
3 1 1
2 0 2
1 0 0
1 2 0
1 3 3
2 0 3
2 2 0
1 1 3
2 2 3
10 4
2 2 1
1 0 2
3 0 2
2 2 3
0 1 2
2 2 0
0 2 1
3 1 2
2 3 3
1 1 0
10 6
2 3 0
3 3 4
4 3 0
1 4 2
0 4 3
4 1 4
4 2 1
2 4 2
3 1 1
4 1 2
10 3
0 0 5
4 0 2
2 1 3
1 5 5
3 1 5
4 0 4
0 1 0
3 0 4
1 3 3
2 0 0
10 5
2 2 1
0 1 0
1 1 2
2 0 1
0 0 2
2 2 2
1 2 0
2 1 0
2 0 0
0 0 0
10 4
1 3 1
0 0 2
4 4 3
1 3 4
3 0 3
0 4 1
4 1 2
3 4 2
3 0 2
1 1 4
10 5
1 1 0
3 3 2
1 0 3
1 1 3
2 1 2
2 3 1
2 1 3
1 0 2
0 0 2
3 2 3
10 5
2 0 3
4 0 1
0 0 2
3 3 2
0 4 4
4 4 4
2 0 2
2 2 4
4 3 0
1 2 0
10 5
4 1 2
5 3 0
0 4 0
1 3 3
4 0 4
2 4 2
2 0 0
5 5 0
2 3 5
0 2 2
10 5
1 3 1
1 3 3
0 2 0
2 3 0
2 0 0
3 1 1
2 3 2
1 2 3
1 0 3
3 1 2
10 6
0 1 1
5 1 2
4 5 1
4 4 2
0 5 0
3 5 1
3 4 2
1 4 4
0 2 2
0 3 3
10 8
1 1 2
3 2 2
0 3 0
1 3 3
3 3 0
3 2 3
2 3 1
1 0 3
2 1 2
3 3 2
10 3
5 5 5
0 1 0
3 2 2
5 4 4
3 0 5
0 3 3
0 5 3
4 0 1
4 5 0
3 2 4
10 7
0 2 1
3 3 0
2 2 4
1 3 2
1 0 0
1 2 4
1 1 0
1 4 4
0 0 2
4 3 4
10 2
2 2 0
2 0 0
1 2 0
0 2 2
0 2 1
1 2 1
1 1 2
0 1 0
0 0 2
0 0 1
10 9
2 0 0
2 2 1
1 2 2
1 0 2
1 1 0
0 2 1
0 0 0
2 2 2
0 2 0
1 1 2
10 7
2 1 4
1 4 3
1 1 0
3 2 0
4 3 2
0 4 0
4 2 1
0 4 3
4 2 3
1 4 2
10 3
1 1 0
3 1 0
0 1 0
0 3 1
2 0 3
1 3 0
1 2 0
3 0 3
2 0 2
0 0 1
10 8
2 1 2
1 0 0
2 1 1
0 0 0
0 0 2
1 1 1
2 2 2
0 1 1
0 2 1
2 2 0
10 2
1 1 3
3 3 3
0 1 0
2 0 2
0 2 1
1 0 2
1 2 2
3 0 2
2 2 0
3 1 3
10 9
2 3 2
3 3 3
2 1 3
0 3 2
2 0 3
1 1 0
0 2 0
2 0 2
3 2 1
0 2 3
10 2
1 2 0
1 0 3
2 2 2
3 3 3
2 2 3
1 3 3
1 0 0
3 0 0
2 0 1
3 1 0
10 7
1 2 0
1 2 1
2 2 0
0 0 0
2 0 1
1 1 0
1 0 0
0 1 0
2 1 0
0 0 2
10 6
0 0 1
2 0 3
2 1 1
2 2 1
3 2 0
1 0 3
1 3 2
1 2 2
0 1 0
2 1 0
10 6
1 1 1
1 0 0
0 1 1
2 2 1
2 0 1
2 1 1
2 0 2
1 0 1
0 2 2
0 0 1
10 6
1 0 1
2 1 1
2 1 0
1 1 0
0 1 1
1 2 0
1 2 1
0 0 2
1 1 1
2 2 0
10 3
3 0 2
3 0 1
3 0 3
3 3 1
2 3 1
1 0 0
0 0 0
2 3 3
2 1 1
1 3 2
10 5
1 3 1
2 1 0
2 2 1
1 3 2
3 2 0
2 2 3
1 0 2
2 2 0
0 1 2
3 3 1
10 2
3 0 0
2 2 2
2 3 2
1 2 2
3 0 2
1 1 0
0 0 2
1 0 2
2 1 1
3 1 0
10 8
2 1 1
0 0 2
1 0 0
1 2 0
2 2 1
2 2 0
0 1 0
0 0 1
1 2 1
0 2 1
10 3
1 1 2
2 0 3
3 2 1
3 2 0
1 0 0
2 1 3
2 2 0
1 2 1
1 3 0
0 2 2
10 3
0 1 3
4 3 0
0 0 4
0 1 1
2 3 0
1 1 1
2 1 4
2 0 4
4 4 4
4 0 4
10 7
4 3 0
3 2 2
1 3 5
5 3 5
4 1 5
0 3 2
2 3 5
4 2 3
2 2 4
3 3 5
10 9
0 0 4
2 0 4
2 3 3
3 0 0
1 1 4
0 1 2
0 2 2
3 4 0
3 4 3
2 2 3
10 3
2 0 1
0 2 0
0 1 2
2 1 0
1 2 1
0 0 2
0 1 0
1 2 2
0 0 1
0 1 1
10 2
0 1 0
2 2 0
2 1 2
2 0 1
2 2 1
1 0 1
0 0 1
2 0 0
0 2 2
2 1 0
10 8
3 4 3
3 2 2
0 0 4
3 1 3
0 1 0
4 3 2
0 0 2
3 3 3
2 3 3
4 2 2
10 7
2 0 3
3 1 3
2 3 3
0 3 1
0 1 2
3 2 0
2 0 0
0 2 3
1 3 1
0 2 1
10 5
2 0 1
1 2 1
2 1 2
1 2 0
2 1 1
1 2 2
0 1 1
2 1 0
1 0 0
1 1 0
10 9
3 4 5
2 0 5
3 1 0
3 0 0
2 1 1
1 0 1
3 1 1
3 3 0
1 4 5
1 5 1
10 8
1 0 1
1 0 0
0 2 1
2 2 1
2 0 2
1 2 0
0 1 0
2 0 1
2 1 2
1 2 2
10 5
1 1 0
1 3 1
2 2 3
1 2 1
3 4 4
4 4 0
0 3 0
2 3 2
1 4 3
4 0 0
10 7
0 1 1
2 1 1
0 2 1
2 0 2
0 2 2
1 2 0
0 0 0
2 2 2
2 2 1
2 1 0
10 6
3 2 2
4 5 0
5 0 1
2 0 5
3 4 0
2 4 1
5 3 3
4 0 4
0 0 3
3 4 5
10 8
4 2 4
3 1 0
0 2 3
3 3 4
3 0 2
3 3 3
1 3 1
1 1 4
2 1 4
0 1 3
10 6
1 3 3
4 5 5
1 2 3
3 4 4
0 2 5
3 4 2
4 1 4
3 2 2
2 4 0
3 3 2
10 4
0 1 0
1 1 0
1 1 1
2 2 2
1 0 1
0 0 1
1 1 2
2 1 2
2 0 1
2 1 1
10 2
3 3 2
2 2 1
4 3 4
3 2 2
2 3 3
3 4 3
1 3 2
3 3 1
4 3 0
2 3 1
10 8
2 4 0
3 2 0
2 1 4
4 3 3
3 2 4
2 2 2
1 2 2
0 4 2
0 0 1
3 3 2
10 6
3 0 2
2 4 0
0 2 2
1 4 3
4 0 2
0 2 4
1 0 1
1 0 2
4 3 2
3 0 3
10 4
5 1 4
2 3 1
1 3 1
1 2 2
4 1 2
1 2 0
3 0 5
1 2 1
2 5 4
3 1 3
10 2
3 0 3
3 1 0
1 1 4
1 3 3
1 1 1
3 0 4
2 3 3
1 2 2
2 2 2
0 0 3
10 5
1 0 1
4 2 1
0 3 1
0 0 2
0 1 0
1 4 2
3 2 2
1 3 1
2 3 1
4 0 4
10 3
1 3 3
0 2 0
2 1 3
2 3 0
3 3 1
3 0 2
1 3 1
3 1 0
0 3 2
0 0 1
10 8
3 1 1
4 2 0
0 1 2
2 1 3
0 0 1
2 2 3
2 3 0
1 1 3
2 1 0
3 1 4
10 2
1 2 1
5 2 1
1 5 5
1 4 3
1 5 2
1 2 4
4 0 0
1 1 1
2 1 0
5 1 0
10 8
1 0 0
1 5 0
3 5 1
3 4 4
1 0 5
2 5 3
4 2 2
5 3 2
3 5 3
4 0 5
10 2
3 1 1
1 3 0
2 3 0
0 0 1
1 1 0
0 0 0
1 1 2
3 3 1
3 3 0
0 2 1
10 7
5 2 1
4 5 2
0 4 5
4 2 4
5 1 2
5 3 0
5 4 3
1 1 0
2 2 4
4 3 3
10 8
2 3 1
4 0 2
3 3 1
3 4 2
2 2 4
2 1 0
3 3 0
2 0 1
0 1 3
0 4 0
10 7
0 0 0
3 3 2
1 2 2
2 1 3
1 2 0
0 1 1
0 1 3
0 3 1
0 0 3
0 2 0
10 9
0 2 4
4 1 1
4 2 3
0 2 3
3 2 1
1 1 2
3 2 2
2 4 2
0 1 4
0 4 4
10 4
0 1 1
2 2 3
0 2 1
1 3 0
1 2 2
0 3 3
3 0 1
2 2 0
0 2 2
2 1 2
10 6
3 3 5
4 4 3
0 3 1
2 0 0
4 2 1
4 2 5
2 3 2
0 3 0
4 1 1
2 5 5
10 4
0 0 4
1 4 2
2 5 3
3 2 0
5 2 5
1 0 4
1 3 1
2 5 0
3 0 3
2 3 2
10 7
1 1 2
0 0 2
1 3 3
1 0 0
3 0 0
0 0 0
0 3 3
2 0 1
3 2 3
0 3 2
10 3
1 1 4
2 3 3
4 2 4
2 1 1
5 0 5
5 5 2
1 1 2
1 2 2
0 1 2
2 5 4
10 2
0 1 1
1 0 2
1 1 2
2 2 1
2 0 2
2 0 0
2 2 2
0 0 0
0 2 0
2 1 1
10 9
0 2 1
3 4 1
2 3 3
4 2 3
3 3 4
4 4 1
3 4 0
0 1 4
4 1 0
4 4 2
10 2
3 0 1
1 1 2
3 1 3
3 0 3
0 1 3
3 1 0
2 3 2
1 0 2
0 3 2
2 2 0
10 2
1 1 2
0 4 0
0 1 2
3 0 4
4 1 4
0 1 4
0 0 1
0 3 2
4 1 3
1 1 1
10 8
2 1 1
2 4 1
4 0 2
2 3 2
0 1 1
3 0 3
3 3 0
2 0 1
4 3 1
1 3 0
10 6
2 1 0
2 0 3
0 1 3
3 2 3
1 2 0
0 3 3
2 1 1
2 2 0
3 2 2
3 2 1
10 9
0 3 1
0 0 1
0 0 2
0 2 2
3 2 1
4 3 2
2 0 0
2 3 1
2 1 4
1 4 1
10 7
0 1 1
1 0 1
1 2 0
3 1 0
2 1 2
0 3 1
2 0 3
2 1 0
1 3 1
1 0 0
10 8
2 1 0
3 2 1
3 1 3
1 1 2
3 1 0
2 0 1
3 1 2
3 2 2
1 0 1
2 1 1
10 2
1 3 1
3 3 2
2 0 2
1 2 1
1 2 0
1 2 2
1 0 1
2 2 1
1 1 3
2 0 0
10 9
5 3 5
4 3 1
4 5 2
3 0 2
3 3 5
5 2 0
1 0 5
3 5 5
0 3 4
5 0 2
10 8
2 4 1
3 3 3
0 0 2
2 0 4
2 2 4
4 2 2
3 1 1
3 4 3
3 0 3
1 1 1
10 3
1 2 2
2 2 2
2 0 0
2 0 1
1 1 0
1 0 1
2 1 2
1 2 0
0 1 1
0 2 1
10 2
0 0 1
0 2 0
2 1 0
2 2 0
1 2 1
2 1 1
0 1 1
1 0 0
1 0 2
2 2 1
10 7
0 0 0
1 1 1
0 0 1
0 1 0
1 2 1
2 2 2
2 1 2
0 2 2
0 1 2
2 1 1
10 5
0 0 2
1 1 1
0 2 2
2 0 0
1 1 0
0 0 1
0 1 2
0 1 0
1 2 1
0 2 1
10 5
4 5 4
2 4 3
2 5 2
0 1 2
2 1 1
0 4 3
2 1 0
2 3 3
5 2 4
4 3 3
10 7
4 3 0
0 4 0
4 1 2
2 4 3
2 4 4
0 0 1
0 2 1
2 4 0
4 0 4
4 4 1
10 2
5 4 4
2 0 2
1 4 0
1 4 5
3 2 2
5 5 3
1 0 0
1 1 5
1 1 3
4 5 1
10 3
0 1 0
1 0 0
2 1 0
1 1 0
1 0 2
0 0 2
2 0 2
0 0 0
2 2 2
2 2 1
10 7
0 0 0
2 1 1
0 0 1
1 1 0
1 1 2
0 1 0
2 0 2
1 2 0
2 1 2
0 2 2
10 5
0 3 3
0 0 0
0 1 2
0 3 0
3 2 0
3 1 3
2 1 2
3 3 0
0 3 1
1 0 0
10 5
0 2 1
2 1 2
2 2 2
2 1 0
2 0 2
1 2 1
0 1 0
2 2 1
0 1 2
1 1 0
10 2
2 1 0
0 3 1
2 4 2
4 3 3
5 5 3
4 3 5
5 1 3
3 3 5
3 1 2
2 0 0
10 5
3 4 0
0 3 0
2 4 3
0 2 1
2 2 0
1 0 2
4 2 0
0 4 2
1 2 3
1 0 4
10 9
2 0 2
3 3 2
1 3 3
1 1 3
2 2 0
2 1 0
2 2 1
2 2 2
3 1 1
3 3 1
10 5
1 0 2
2 1 1
1 1 2
0 2 1
0 0 1
2 0 1
0 0 2
0 2 0
0 0 0
2 2 2
10 3
5 4 2
0 3 4
3 5 5
4 0 0
4 5 2
0 3 1
4 2 3
2 4 5
0 0 1
3 3 3
10 2
3 0 2
2 0 2
3 3 3
1 3 1
2 3 3
2 0 0
2 2 2
2 2 3
1 2 1
0 1 1
10 8
1 3 3
0 3 0
1 2 1
3 3 2
1 0 0
1 0 1
1 3 0
0 3 1
1 1 2
0 2 1
10 4
4 4 2
2 0 2
3 0 0
2 3 0
0 3 5
1 4 2
2 1 3
2 0 5
5 2 1
1 1 1
10 6
3 1 4
0 3 2
4 0 4
3 4 1
1 4 2
3 4 0
0 0 2
1 1 1
3 2 1
3 0 1
10 7
3 1 0
2 3 0
3 3 4
3 4 3
4 4 2
2 3 2
4 4 3
3 3 1
3 3 2
0 4 0
10 8
4 4 5
2 5 2
0 1 0
5 0 0
4 5 1
3 1 4
3 5 1
0 2 2
0 2 4
3 1 5
10 6
2 1 4
3 4 2
3 1 0
3 2 3
3 4 4
1 1 0
2 0 4
4 0 1
0 2 4
1 4 4
10 3
0 3 1
2 3 0
3 0 0
1 1 0
3 1 3
1 0 1
2 0 3
1 0 3
3 3 2
0 3 0
10 7
0 3 2
5 5 3
5 1 5
4 5 5
0 4 1
4 4 5
2 3 2
3 1 0
2 1 3
1 0 2
10 2
2 2 2
1 1 1
0 1 1
1 2 2
2 0 0
1 1 0
0 1 0
2 0 1
1 0 0
2 1 2
10 9
2 0 2
2 1 1
1 0 2
0 2 0
0 2 2
2 2 2
0 1 2
2 2 1
1 2 2
1 1 2
10 6
1 1 2
0 1 0
0 0 0
1 0 0
0 1 2
1 2 2
2 0 1
1 0 1
2 1 1
2 1 0
10 6
1 1 2
2 2 2
2 1 1
1 0 2
1 0 1
2 2 0
1 2 0
1 2 2
2 0 2
0 1 2
10 6
1 1 1
2 1 1
0 2 1
4 3 3
2 2 4
0 1 0
2 2 1
4 3 0
2 3 3
1 4 2
10 7
0 3 3
1 1 1
0 2 0
1 2 0
2 2 2
2 0 3
0 0 2
1 3 0
0 3 1
0 1 3
10 4
2 2 2
3 0 0
3 1 2
3 3 1
0 1 0
1 2 1
3 1 3
1 3 2
2 3 0
3 2 2
10 4
3 5 2
4 0 0
1 4 2
1 5 3
3 0 3
2 3 4
4 2 5
2 2 5
0 1 1
0 5 4
10 8
0 2 0
1 0 2
0 1 3
2 2 0
1 1 3
3 3 1
3 1 3
0 0 1
2 0 1
3 2 0
10 4
1 2 0
2 1 1
1 0 2
1 2 1
0 1 0
0 1 1
0 0 0
0 2 0
2 0 0
2 0 1
10 5
1 1 2
2 0 1
2 2 0
1 2 1
1 3 3
0 3 0
2 1 2
0 2 2
1 3 1
2 2 3
10 6
2 1 4
3 1 4
4 1 4
0 0 2
2 5 3
1 2 0
2 2 3
0 5 0
5 3 1
4 5 0
10 7
1 1 3
2 1 0
3 0 3
0 2 3
1 3 3
1 1 2
1 1 0
0 1 1
0 1 0
1 2 1
10 6
2 2 1
0 2 1
2 2 2
2 1 0
1 1 0
2 2 0
0 0 1
0 1 2
2 1 1
1 0 2
10 3
0 0 1
0 2 2
1 0 2
0 0 0
2 2 1
2 2 0
2 1 2
1 1 2
0 0 2
0 1 1
10 5
3 0 1
1 3 3
1 1 3
2 1 0
0 0 1
0 2 1
3 3 0
3 2 1
2 0 3
0 2 3
10 5
1 2 0
0 1 0
0 0 2
0 2 0
0 0 0
0 1 1
1 1 1
0 1 2
2 2 2
0 0 1
10 3
3 1 1
0 1 1
1 1 3
1 3 1
2 1 1
3 3 0
2 3 1
1 3 2
1 1 0
0 1 0
10 4
3 5 0
0 3 4
1 3 4
2 4 5
0 1 2
5 4 1
0 0 0
5 0 3
3 2 0
4 0 2
10 3
2 3 2
2 0 2
1 3 4
2 2 0
2 0 3
4 3 4
4 0 1
2 0 4
3 2 4
3 3 1
10 5
4 3 1
2 4 1
0 4 2
3 4 3
0 1 0
2 2 0
1 4 2
3 0 2
4 3 2
4 2 2
10 5
0 2 2
3 3 3
1 3 1
3 2 2
3 2 0
1 2 2
3 0 3
0 0 2
2 0 1
2 0 3
10 2
0 2 1
3 0 0
3 1 3
3 2 3
2 3 1
0 3 1
0 1 0
1 2 0
0 3 2
1 2 2
10 7
2 4 2
2 3 3
4 2 2
4 1 1
2 1 1
3 0 0
2 0 1
3 3 4
1 2 1
0 2 0
10 2
2 0 0
0 0 2
1 2 0
1 1 1
1 1 2
0 2 0
0 0 1
2 2 1
0 1 2
2 2 0
10 2
0 2 1
2 2 3
1 1 2
2 1 2
3 2 0
0 1 1
1 1 3
1 0 2
1 2 0
0 3 3
10 4
4 3 0
5 1 2
0 5 2
1 3 0
3 2 4
2 3 4
5 0 4
0 4 0
4 3 2
1 5 1
10 9
0 0 1
2 1 2
0 2 2
2 0 0
1 0 0
1 0 1
2 0 1
2 0 2
2 2 0
2 2 2
10 6
2 1 3
0 2 1
3 3 3
0 1 1
3 3 0
1 3 2
3 3 2
3 0 4
4 1 1
2 4 0
10 3
4 2 1
0 3 4
3 3 2
0 2 4
1 1 2
1 2 2
4 0 0
1 0 3
3 3 0
0 1 0
10 4
1 2 3
4 1 3
0 5 1
4 0 0
3 2 1
4 1 0
5 2 5
4 5 3
1 4 2
5 0 5
10 2
3 2 5
2 5 1
4 5 1
3 0 5
0 3 3
3 1 2
0 4 3
2 2 1
1 3 0
1 0 4
10 9
0 0 0
0 2 3
0 3 3
1 2 3
3 3 3
1 1 0
2 2 0
1 0 0
0 2 1
0 1 1
10 8
1 1 4
4 3 3
4 0 2
1 2 0
3 2 4
1 4 3
3 1 1
3 2 0
1 0 1
2 2 4
10 9
0 1 2
0 0 0
2 0 3
3 2 0
0 3 2
3 2 2
2 1 1
1 2 2
1 1 1
0 3 3
10 6
3 3 2
0 0 1
2 3 1
1 2 3
0 3 0
3 0 2
2 2 2
0 1 2
2 3 3
0 3 1
10 6
5 3 2
3 3 2
4 4 5
1 0 2
1 1 4
2 5 4
2 2 0
5 3 5
0 2 1
3 0 3
10 7
2 0 1
2 2 2
0 0 0
2 1 2
1 1 2
2 1 1
1 1 1
1 2 1
1 0 2
1 2 2
10 4
0 1 4
2 4 2
0 0 0
1 4 3
0 4 4
2 4 0
0 3 4
4 4 3
0 3 1
3 1 2
10 2
2 1 3
4 0 3
1 2 3
2 4 4
2 2 0
2 0 4
0 0 2
2 0 3
4 3 1
1 0 4
10 4
5 3 1
0 2 0
0 5 0
2 3 3
3 2 0
5 3 0
3 5 1
1 3 0
1 4 5
5 4 0
10 3
2 2 0
1 0 0
2 1 1
1 1 2
2 2 1
2 2 2
0 2 2
0 0 2
0 0 0
0 1 1
10 4
3 0 0
1 1 0
4 1 0
2 0 3
0 4 1
3 2 4
4 1 1
1 0 1
0 1 3
2 1 3
10 7
1 0 1
3 2 0
2 1 2
3 2 2
1 0 0
2 0 3
3 1 2
2 0 0
1 1 0
1 0 2
10 9
2 3 0
1 0 0
0 2 1
3 1 0
2 2 3
0 0 1
1 2 1
1 1 0
0 3 0
0 1 3
10 7
3 4 1
2 3 3
0 1 3
3 0 4
1 3 2
3 4 0
4 1 3
0 0 0
2 3 4
1 0 2
10 4
3 2 2
0 3 2
1 2 3
4 3 0
1 2 1
2 1 4
2 1 1
1 2 0
4 0 2
2 0 3
10 9
1 0 1
2 1 0
1 0 2
2 0 1
1 1 2
0 1 1
2 0 2
2 1 2
0 2 0
0 0 2
10 4
0 1 2
0 1 0
2 2 3
0 0 1
3 2 1
0 1 3
2 3 1
3 3 1
3 1 2
0 2 1
10 3
0 2 1
3 2 3
1 0 3
2 0 3
2 3 0
1 1 3
0 1 2
1 2 1
0 0 1
2 2 3
10 7
0 0 1
1 1 2
1 1 0
1 0 2
1 2 2
1 0 0
1 2 1
1 2 0
0 2 0
2 1 0
10 3
2 1 1
3 3 0
2 4 3
3 3 4
2 0 3
3 3 3
2 4 0
1 1 1
4 0 2
2 1 3
10 2
1 2 2
0 0 1
1 2 1
2 0 2
2 2 1
2 0 1
0 2 2
1 1 1
0 1 0
0 1 1
10 3
4 3 3
4 2 1
3 4 0
2 1 3
0 2 0
0 0 0
0 3 3
0 3 0
3 2 4
4 4 1
10 6
3 0 2
2 0 0
2 0 1
5 5 2
3 1 2
0 1 1
4 5 1
2 4 1
0 4 4
2 2 2
10 8
0 0 1
3 2 0
3 2 2
2 2 3
3 0 1
1 1 3
0 2 0
0 0 3
3 1 2
2 0 2
10 5
0 2 2
0 1 1
0 2 0
2 2 1
2 0 0
1 2 0
0 1 2
1 0 0
1 1 1
2 0 2
10 2
1 2 1
2 1 1
1 1 2
1 1 0
2 0 0
2 2 1
0 1 2
2 2 0
0 0 2
2 0 2
10 5
0 1 0
2 2 2
0 2 1
1 1 2
2 1 2
2 1 1
1 0 1
2 2 0
0 0 1
1 0 0
10 4
0 4 3
1 0 0
4 2 0
1 1 2
4 1 0
0 2 3
0 1 1
2 1 2
1 2 4
1 3 4
10 9
1 1 2
2 2 3
2 0 2
1 1 1
0 3 0
2 1 0
3 2 1
2 2 0
2 2 2
1 0 2
10 2
3 0 2
3 2 1
0 2 1
0 1 0
0 0 1
0 3 1
1 0 3
0 0 2
2 1 0
1 2 3
10 7
4 3 4
3 1 1
4 2 4
3 4 3
4 2 3
0 4 3
0 0 0
4 1 3
2 2 2
1 1 4
10 2
1 2 0
1 1 1
0 2 2
2 1 0
0 1 1
2 2 0
2 1 2
1 0 2
1 0 0
1 1 2
10 4
2 1 2
3 1 0
0 3 0
1 2 3
0 3 2
1 3 2
2 0 0
1 1 0
0 3 1
1 3 3
10 3
4 2 2
0 3 2
1 0 5
5 0 5
2 1 5
0 2 4
0 4 5
3 1 0
2 3 5
3 5 4
10 4
1 2 5
2 1 0
5 1 1
4 2 2
3 4 4
1 3 3
4 0 2
1 4 1
0 0 4
1 1 1
10 2
4 1 4
0 3 0
4 1 3
5 3 0
1 5 0
2 4 2
0 2 3
1 4 4
5 4 3
1 4 2
10 3
1 1 2
2 2 2
2 1 0
1 1 1
0 2 2
0 2 0
1 2 1
2 1 1
0 2 1
2 0 1
10 6
2 0 4
0 1 1
4 1 0
1 3 4
4 4 3
3 2 4
2 0 0
0 0 0
2 3 1
2 4 3
10 3
2 2 2
1 0 0
1 0 1
2 0 0
0 1 1
0 1 0
0 0 2
0 1 2
0 2 1
2 1 1
10 3
1 0 4
2 2 0
2 0 4
3 1 1
0 3 2
0 0 4
2 1 4
0 1 1
1 3 0
2 2 3
10 6
2 2 2
3 4 3
2 0 3
3 1 0
2 4 1
4 3 1
2 0 2
4 2 1
3 4 1
4 2 3
10 6
0 1 0
1 1 2
0 2 1
2 2 0
2 1 1
2 2 2
0 0 2
2 1 2
2 0 2
2 0 0
10 4
0 2 5
4 4 2
4 4 4
1 0 2
5 3 3
4 0 3
0 3 3
5 2 4
0 0 2
0 1 2
10 4
0 1 1
0 2 2
1 2 0
1 1 2
1 0 0
2 0 0
0 1 0
0 2 1
1 1 1
0 2 0
10 5
0 0 3
1 2 0
2 2 4
3 1 3
2 2 0
3 2 0
3 0 2
2 2 1
2 3 0
4 2 4
10 9
4 0 2
0 5 4
3 5 5
2 3 4
5 4 4
1 0 4
3 0 0
5 3 1
4 3 0
2 5 4
10 9
1 3 0
1 0 3
2 4 3
1 1 3
1 4 1
1 0 1
0 2 1
4 4 2
4 3 1
1 2 3
10 3
1 2 0
0 2 2
2 2 0
0 2 1
0 0 2
1 0 0
1 2 1
0 1 0
1 0 2
1 1 0
10 7
0 0 2
2 0 0
1 0 1
0 3 2
1 1 1
3 3 1
1 3 0
2 2 0
1 1 0
1 2 3
10 6
3 5 3
4 3 2
1 2 2
3 3 0
1 4 3
3 4 3
0 4 4
0 0 3
2 1 3
0 5 0
10 9
4 5 2
0 2 2
3 5 4
3 1 4
4 2 1
3 4 5
0 5 5
4 1 1
3 0 1
0 3 5
10 4
2 2 2
1 0 0
2 0 1
2 2 0
0 0 0
1 0 1
0 1 0
0 2 0
1 2 0
1 2 2
10 4
1 0 5
5 0 3
4 3 2
0 3 5
1 5 3
1 0 2
1 5 1
2 4 1
0 0 0
5 3 2
10 9
4 3 4
4 1 0
0 4 0
1 3 4
0 0 3
4 2 4
3 2 2
2 4 0
3 0 1
0 4 3
10 2
3 3 1
2 4 0
3 3 4
4 1 2
2 3 1
4 3 4
2 1 0
2 2 4
1 2 2
0 3 3
10 9
3 3 0
1 1 4
0 0 3
1 1 2
4 1 2
2 3 0
4 1 3
4 0 3
3 3 4
0 0 1
10 4
2 0 3
0 2 0
2 3 3
3 0 3
2 2 3
2 3 1
3 3 0
0 1 0
0 0 1
3 2 1
10 8
0 0 2
0 2 0
1 1 0
1 1 2
2 1 0
2 0 1
0 1 1
0 1 2
0 0 1
1 2 1
10 4
0 3 1
2 2 0
2 2 3
3 0 3
0 0 1
0 2 0
3 2 0
0 2 3
3 0 2
1 3 0
10 8
0 4 0
3 3 1
1 2 0
5 2 4
1 3 2
2 4 1
4 0 2
2 0 3
4 3 0
3 3 3
10 7
2 0 1
2 2 0
1 2 2
0 1 2
1 0 0
0 0 1
2 1 2
0 0 0
0 1 1
1 0 1
10 5
3 1 3
2 1 2
1 2 0
3 3 0
3 1 2
1 0 0
0 1 1
2 3 3
2 2 3
1 2 3
10 8
0 2 5
0 2 3
0 4 0
2 3 2
4 1 3
1 2 2
2 0 2
1 2 0
5 3 0
0 4 4
10 2
2 2 0
2 1 2
3 3 0
0 0 1
1 0 2
2 1 1
3 0 3
3 0 0
0 0 3
0 0 2
10 8
3 2 1
0 2 0
1 2 3
0 3 2
0 1 3
1 3 2
3 1 1
3 2 2
0 3 1
3 1 0
10 7
2 1 5
3 0 4
4 4 5
1 4 3
2 3 0
0 4 1
3 2 4
2 2 1
5 5 1
3 4 4
10 7
1 3 2
0 3 3
2 0 3
1 1 2
1 1 0
0 1 3
3 3 0
0 1 2
1 2 1
2 2 3
10 4
3 0 4
1 4 4
2 4 4
4 2 0
2 4 2
2 1 1
0 3 2
0 2 4
1 0 1
0 4 1
10 5
3 0 0
3 4 2
4 3 2
3 2 3
1 3 4
3 0 4
4 0 4
3 4 0
0 3 2
0 4 3
10 7
2 1 0
1 3 2
2 1 3
1 2 1
2 1 1
3 3 1
0 3 2
0 3 3
3 3 0
1 0 1
10 2
1 2 2
2 2 3
2 1 2
2 1 3
3 1 1
1 1 0
0 0 2
0 3 2
0 1 2
2 2 2
10 5
2 4 4
4 2 4
4 2 3
3 2 2
3 2 3
3 2 0
2 3 3
1 3 2
1 0 1
5 5 4
10 3
3 3 2
3 4 2
2 1 0
2 0 2
1 2 3
1 4 0
4 3 1
1 4 2
3 0 2
1 3 4
10 6
5 5 4
2 0 2
4 0 1
5 1 0
2 3 0
2 2 1
5 3 2
1 2 1
0 2 3
1 4 4
10 5
4 0 4
2 1 3
2 0 1
2 3 2
4 4 1
0 1 4
3 1 1
2 2 4
4 4 3
3 2 0
10 7
1 0 1
1 0 2
2 0 0
0 0 1
0 2 2
0 2 1
0 1 2
1 2 0
2 1 2
1 1 0
10 2
3 2 2
2 0 4
0 0 0
4 1 1
2 2 3
4 5 1
4 0 1
1 4 0
3 0 5
4 0 5
10 8
4 2 5
4 5 5
3 0 0
3 5 0
1 5 4
3 4 3
4 4 5
1 0 4
3 2 1
5 3 3
10 3
3 1 1
2 3 4
0 3 4
0 1 1
0 3 1
3 0 4
1 4 1
1 0 2
0 4 4
2 3 3
10 4
1 1 3
2 0 2
3 0 1
3 3 0
1 2 0
0 3 3
3 3 1
0 3 2
2 3 2
3 1 2
10 7
2 2 0
4 1 3
0 3 4
1 0 4
0 2 0
1 4 2
3 1 0
3 4 2
2 1 1
1 3 4
10 3
1 0 2
0 0 2
1 0 1
2 1 2
0 1 1
1 0 0
2 0 1
1 1 2
1 1 1
0 2 1
10 3
1 3 1
5 2 5
4 0 4
3 3 2
4 2 0
4 1 0
2 4 1
0 5 2
4 1 3
1 4 2
10 7
5 5 1
5 1 4
0 5 1
5 1 5
5 5 2
3 4 3
2 2 1
1 4 4
0 3 5
2 0 3
10 2
1 2 0
2 1 1
0 2 0
0 2 2
1 0 1
2 2 0
1 1 0
2 1 0
0 0 2
2 0 2
10 7
1 0 1
1 2 0
2 1 2
1 1 2
2 1 0
2 1 1
0 2 1
2 0 0
1 0 0
2 0 1
10 9
0 0 0
2 3 0
1 3 1
0 3 3
3 1 0
0 1 1
1 1 3
1 3 0
3 1 1
2 0 3
10 9
0 3 2
0 0 1
2 3 0
1 0 3
1 0 2
0 3 0
0 2 1
0 1 0
2 3 1
0 3 1
10 8
3 0 1
1 0 3
1 3 0
1 2 1
2 3 0
0 3 3
2 0 3
2 2 0
1 0 2
0 2 2
10 5
0 2 2
2 2 1
0 0 2
0 0 0
2 1 2
1 1 1
2 1 0
2 1 1
0 1 0
2 2 0
10 7
3 3 3
3 0 0
2 3 3
1 2 0
3 1 1
3 0 1
1 2 3
0 1 3
1 2 1
1 1 3
10 3
2 1 0
0 0 0
0 1 3
1 0 0
0 0 2
0 2 2
0 3 1
3 2 2
3 3 1
3 3 2
10 4
1 2 2
0 2 2
1 1 0
1 0 0
0 2 1
2 2 1
1 1 2
0 0 1
0 1 0
1 0 2
10 6
3 1 3
2 2 5
5 0 1
5 5 1
3 5 4
4 1 1
2 3 1
0 1 2
2 0 3
2 1 1
10 8
4 3 0
0 3 2
1 3 5
2 1 0
4 1 1
4 5 4
3 1 4
1 4 1
4 4 1
4 4 5
10 2
1 2 1
1 3 2
3 0 0
3 2 2
3 1 0
3 2 3
0 0 0
2 3 3
0 2 1
1 0 0
10 8
0 0 1
2 1 3
3 2 1
1 0 2
2 0 1
1 1 0
1 2 1
0 2 3
3 3 0
0 0 2
10 3
3 2 0
1 2 1
0 3 0
0 0 3
1 4 3
1 0 0
4 0 3
1 4 2
3 4 1
1 1 0
10 2
4 0 0
3 1 1
1 3 3
1 2 2
2 2 4
2 3 4
0 4 2
4 1 2
0 3 4
1 2 1
10 7
0 1 3
2 3 0
1 3 2
2 3 2
1 1 2
3 1 0
1 1 1
2 1 2
0 3 0
0 0 0
10 9
2 1 0
2 0 0
0 1 0
0 1 1
1 2 1
0 2 2
0 0 1
1 1 0
2 1 2
2 0 2
10 8
0 2 1
3 3 1
5 3 1
4 1 4
1 5 5
5 5 0
5 2 0
4 4 1
1 2 3
0 0 2
10 6
0 2 0
0 1 0
0 0 2
1 0 1
1 1 1
1 1 2
2 1 0
2 1 2
2 2 2
0 1 2
10 4
1 0 0
2 1 1
2 2 2
1 1 0
1 2 0
1 1 2
0 0 1
0 1 2
2 2 1
2 0 2
10 8
1 0 1
1 2 1
0 1 2
0 0 2
1 2 0
1 0 2
1 2 2
1 1 2
2 0 2
1 0 0
10 3
2 1 2
3 1 1
0 1 1
3 2 2
3 3 2
0 1 0
3 1 0
3 2 1
1 1 3
3 3 1
10 2
2 4 3
0 4 2
5 1 2
2 4 0
0 0 4
0 1 1
2 5 3
5 4 2
4 5 2
1 2 2
10 2
1 1 5
4 1 4
0 5 4
0 2 1
0 5 0
5 0 3
1 3 1
2 2 0
3 2 2
4 2 3
10 7
2 2 1
4 1 4
2 2 4
1 2 3
3 1 1
0 0 1
0 2 0
2 0 2
2 3 3
4 2 4
10 3
5 1 2
5 1 5
5 2 5
4 5 5
3 2 2
5 2 1
2 3 3
0 4 2
3 4 2
3 3 3
10 2
1 2 1
3 3 3
0 2 0
1 0 1
2 3 3
2 2 2
2 1 3
0 3 3
3 2 1
2 0 0
10 4
0 2 0
1 1 2
2 1 0
1 2 2
0 2 2
2 2 0
1 0 2
0 1 1
2 0 0
1 2 1
10 4
3 1 2
1 3 1
0 3 3
3 4 0
2 0 1
0 0 4
2 4 4
3 2 3
4 4 4
3 3 0
10 9
1 3 0
3 0 3
0 0 0
2 1 3
1 3 3
1 0 3
0 1 3
2 2 3
1 1 2
3 0 2
10 8
2 1 1
0 2 2
2 2 0
0 1 0
0 1 2
0 2 1
1 0 0
1 1 2
1 2 1
1 2 2
10 9
1 5 1
1 0 4
3 2 3
2 0 2
2 4 4
3 2 0
5 4 3
5 0 1
1 5 5
1 4 5
10 4
1 0 3
0 2 0
3 2 2
0 0 0
3 3 0
3 2 1
1 2 2
1 1 3
3 1 3
0 3 0
10 7
1 2 2
1 1 0
0 0 1
1 0 2
2 1 1
0 2 2
0 1 2
0 1 1
2 1 2
0 0 0
10 9
0 2 1
4 4 4
1 3 0
1 3 3
2 3 1
0 0 2
0 0 4
0 2 4
3 2 4
0 0 1
10 7
3 3 5
3 2 1
5 1 2
2 5 2
3 3 0
5 0 2
1 5 5
1 2 1
0 5 4
2 2 5
10 3
1 5 2
2 2 4
4 5 4
1 4 5
1 5 3
2 2 0
5 1 4
2 3 3
0 3 2
5 5 3
10 9
1 4 4
2 2 4
4 2 2
4 0 1
4 1 0
3 2 0
3 4 3
3 3 2
2 1 1
3 2 2
10 5
0 2 0
1 1 1
1 0 1
2 1 1
2 1 2
1 1 2
1 2 0
0 2 2
2 0 0
2 0 2
10 4
1 1 1
1 2 0
2 0 0
2 0 2
1 0 1
0 2 0
1 0 0
0 0 0
1 2 2
2 2 2
10 6
0 1 3
0 3 2
1 1 3
3 0 0
1 2 2
2 3 0
0 1 1
3 2 0
2 3 3
0 2 3
10 7
2 5 0
2 2 4
4 1 5
5 2 5
0 1 5
4 4 3
1 3 0
2 3 5
3 5 1
3 3 3
10 6
1 0 3
3 0 2
1 1 1
3 2 2
3 0 1
3 0 0
1 2 1
1 3 0
3 1 3
3 3 0
10 5
0 1 3
3 5 1
0 1 5
1 4 0
4 0 2
0 0 4
3 2 0
2 0 0
1 1 2
5 2 5
10 6
2 0 1
1 2 2
0 2 0
1 2 1
0 1 1
1 0 1
0 0 0
0 0 1
1 0 0
2 1 2
10 2
0 1 1
1 0 1
0 2 0
1 2 2
2 0 0
1 2 1
2 0 2
0 0 1
2 1 0
1 0 0
10 8
2 0 0
2 2 2
1 3 3
2 0 2
2 0 1
0 3 2
1 2 3
1 2 1
0 0 3
0 3 1
10 7
1 2 0
0 1 1
2 0 1
0 0 0
0 0 1
1 1 0
1 1 1
2 0 0
1 2 1
2 2 2
10 4
0 2 0
0 1 0
2 0 0
0 2 2
1 2 2
2 2 0
0 1 1
0 0 0
0 0 2
0 2 1
10 8
1 1 2
1 2 0
1 3 1
2 3 1
3 2 3
0 3 0
2 2 0
0 3 3
3 1 1
2 0 0
10 4
5 1 0
5 5 4
4 0 1
3 3 1
2 3 4
1 2 5
0 3 2
3 1 1
1 2 0
0 4 5
10 3
2 3 1
2 3 0
2 1 3
1 1 1
1 2 0
3 1 0
0 0 0
0 2 0
0 3 0
1 0 2
10 4
1 3 5
3 0 1
5 4 2
4 2 0
1 3 0
0 2 5
0 1 4
0 3 1
2 0 4
0 1 0
10 6
0 0 2
2 1 2
3 3 0
1 2 2
1 0 4
2 0 2
0 2 2
2 1 0
0 2 0
4 4 4
10 4
4 2 1
1 2 0
3 0 4
0 1 2
1 4 4
3 1 0
1 1 3
2 0 1
2 1 2
3 3 4
10 6
2 2 1
1 1 1
1 1 2
1 0 0
1 2 1
2 0 0
0 1 0
1 1 0
0 1 2
2 2 2
10 2
5 2 3
4 4 1
3 5 5
2 1 0
1 4 5
1 3 2
2 0 2
3 2 1
0 1 5
1 1 2
10 5
2 0 5
3 5 5
1 1 2
3 2 2
3 5 1
5 5 3
5 0 5
4 4 3
5 3 1
1 0 1
10 9
0 0 4
4 4 2
5 0 3
1 2 3
0 4 1
2 5 2
4 0 5
4 0 3
3 3 1
1 2 2
10 7
0 4 3
0 0 2
1 2 3
1 1 3
3 4 3
3 1 1
3 2 1
1 0 1
1 2 2
0 2 1
10 9
1 0 1
1 1 2
1 4 2
3 1 1
3 0 0
4 2 1
2 0 0
0 4 0
1 1 4
2 1 4
10 9
3 4 1
2 1 0
1 1 3
0 4 0
0 1 0
3 2 4
2 4 3
0 4 2
3 0 4
4 3 0
10 5
0 3 3
0 2 3
0 3 2
3 1 3
0 0 3
2 2 2
3 0 1
2 0 3
1 0 3
0 1 3
10 8
1 2 4
1 1 0
3 0 3
0 1 1
0 4 0
3 4 2
2 3 4
1 4 3
3 4 1
0 1 3
10 4
3 3 3
3 2 0
1 0 2
2 0 1
2 0 3
2 2 1
3 0 2
2 3 3
2 1 2
3 3 1
10 8
2 1 1
0 0 0
1 1 0
0 2 1
2 2 2
1 0 1
0 2 2
1 2 1
0 1 2
2 0 2
10 3
5 5 5
3 4 4
4 3 3
4 4 5
0 4 3
1 2 1
4 5 2
4 0 2
2 1 2
2 4 1
10 2
1 0 1
3 4 2
4 2 1
0 3 2
3 0 4
2 4 2
3 3 2
0 3 3
2 2 0
4 3 0
10 3
1 3 3
2 2 3
3 0 5
4 4 5
5 0 2
3 4 0
0 3 1
4 2 3
4 5 0
0 5 1
10 8
0 4 4
4 3 3
2 1 0
0 4 0
1 2 0
2 1 1
4 2 4
1 1 2
3 1 0
0 1 2
10 9
1 2 0
3 0 1
4 3 0
2 1 3
1 0 2
3 4 2
0 1 4
1 1 0
0 3 2
2 3 4
10 9
3 0 1
4 4 2
5 1 2
4 3 3
3 1 5
3 4 2
2 5 3
2 4 1
4 1 5
4 3 4
10 4
3 2 4
1 3 4
4 2 1
0 3 0
2 3 0
1 0 2
2 2 1
0 2 3
4 0 0
0 1 4
10 8
2 2 3
5 3 3
3 0 0
5 4 4
2 3 1
4 3 4
2 5 1
2 3 5
1 2 3
4 4 3
10 8
2 1 0
0 1 1
0 2 0
0 0 0
0 1 2
2 2 1
0 2 2
2 2 2
1 2 2
1 1 0
10 7
1 2 4
0 3 1
1 4 3
4 0 3
1 4 0
4 3 2
0 2 2
2 0 0
3 4 1
3 3 0
10 5
0 2 4
1 2 2
4 2 2
4 0 0
4 0 2
3 0 4
0 0 2
1 2 0
1 4 3
2 4 0
10 4
0 1 3
3 1 1
0 0 2
0 2 0
1 0 1
1 1 1
2 1 2
0 0 1
0 3 0
1 3 3
10 3
1 1 2
2 0 0
1 0 0
2 2 2
2 0 2
0 0 1
0 0 2
1 1 0
0 2 1
2 1 0
10 8
1 2 2
0 2 2
2 2 2
1 0 2
1 1 1
2 2 0
2 1 1
0 1 0
2 2 1
2 0 2
10 5
0 3 2
0 2 2
2 3 1
3 2 3
2 1 0
1 3 0
2 0 0
1 1 2
1 1 3
2 2 0
10 3
0 0 1
1 2 1
2 1 0
1 0 2
1 2 0
2 0 0
1 1 2
1 0 0
2 0 2
0 1 0
10 8
4 0 5
1 1 3
2 3 4
2 4 2
3 4 4
4 0 0
4 3 3
1 4 4
1 4 2
3 4 0
10 7
3 5 2
4 1 5
2 0 4
3 4 1
2 1 2
1 0 4
0 4 4
2 5 1
0 1 4
3 5 4
10 9
3 2 3
2 1 2
0 1 3
0 3 2
3 3 3
1 0 2
2 3 1
3 3 2
3 2 0
1 3 0
10 4
2 0 0
0 2 0
3 0 3
1 0 0
3 1 0
0 0 2
1 3 3
0 1 0
1 1 0
2 3 3
10 2
0 3 0
4 1 3
1 3 4
1 4 1
0 4 0
0 3 2
2 2 0
3 0 4
0 2 2
1 4 0
10 5
3 1 0
2 2 5
4 3 0
3 2 4
0 2 3
2 0 0
0 1 4
2 1 4
4 2 5
4 4 0
10 3
1 1 1
0 0 0
2 1 1
1 0 2
2 0 2
0 2 2
2 1 2
1 1 0
0 0 2
1 1 2
10 3
3 1 1
5 5 4
0 1 2
0 1 4
3 5 4
1 2 3
4 1 3
5 4 2
5 1 2
0 4 0
10 3
1 1 4
0 4 4
2 4 0
2 3 1
3 1 0
2 0 0
3 3 1
0 2 3
3 0 2
0 1 3
10 5
2 4 0
2 1 3
1 2 4
0 2 3
0 4 1
1 2 3
2 4 4
2 2 4
3 1 1
0 3 1
10 9
2 1 4
4 1 4
2 2 2
1 3 3
3 3 3
1 2 1
4 3 2
0 4 3
1 3 2
0 2 3
10 9
1 1 0
1 0 5
2 1 2
3 3 2
1 2 3
1 2 1
4 4 5
2 3 3
0 1 4
5 1 3
10 8
2 1 2
0 1 0
0 3 1
2 0 2
3 2 3
3 3 0
2 2 2
3 3 3
1 2 3
2 0 1
10 5
3 3 1
1 2 1
2 3 1
2 3 3
2 0 3
0 2 1
2 1 3
2 0 1
3 2 2
1 1 2
10 2
0 0 1
0 1 3
3 1 0
0 3 0
0 0 2
1 1 2
1 3 0
2 3 0
2 1 2
3 0 1
10 9
1 2 2
2 2 1
4 4 4
1 2 3
4 4 3
2 0 1
4 3 3
3 3 1
0 3 0
2 4 2
10 2
4 0 2
4 5 4
5 3 5
2 1 3
5 4 4
1 4 1
3 4 5
3 0 1
5 1 4
0 1 2
10 7
2 0 1
2 1 0
1 0 0
0 2 0
1 1 1
2 0 2
2 2 1
2 0 0
1 0 1
0 1 1
10 6
2 1 0
0 0 0
0 1 0
2 2 0
1 0 1
2 0 1
2 1 1
1 0 0
0 0 2
1 0 2
10 4
0 0 2
4 4 0
0 1 4
1 0 1
2 0 1
2 4 1
3 3 1
0 3 4
3 4 2
2 1 3
10 2
3 4 3
0 2 4
0 0 2
4 1 1
3 2 4
2 0 1
3 3 4
4 2 2
1 1 1
1 2 0
10 8
5 0 0
1 0 4
5 0 3
2 5 1
4 2 5
0 2 4
1 3 2
5 4 1
0 1 0
0 5 5
10 9
5 1 3
2 4 4
3 4 4
1 0 2
2 3 3
3 3 0
1 0 4
1 0 1
4 4 3
0 5 1
10 2
1 3 1
0 3 1
0 4 3
2 1 0
0 4 4
3 1 2
0 1 2
0 3 4
3 0 3
3 0 4
10 4
4 3 3
5 2 3
2 1 4
5 5 4
2 4 2
4 2 3
2 0 4
0 5 3
0 1 4
1 0 3
10 3
1 1 1
2 1 2
1 2 2
2 1 0
0 0 0
2 0 2
1 0 0
0 1 0
2 0 1
2 2 1
10 2
1 2 2
2 2 3
5 0 3
0 2 2
4 4 0
2 4 5
2 3 3
0 1 1
5 3 5
2 3 0
10 4
4 2 0
2 3 4
3 0 0
4 3 0
4 3 1
1 3 4
4 2 3
3 4 4
1 4 4
0 2 0
10 8
4 4 5
1 3 2
4 1 2
5 1 5
4 1 5
1 5 1
4 5 4
0 3 5
5 0 5
1 3 3
10 3
1 0 4
0 3 4
4 0 4
1 4 0
4 1 1
3 4 1
0 3 1
0 1 3
0 0 3
3 1 1
10 9
0 3 3
2 1 1
1 0 1
3 2 1
0 1 0
1 1 0
2 2 1
2 2 3
2 1 0
0 0 0
10 8
0 2 0
0 0 2
0 0 1
0 2 1
2 2 1
1 1 1
0 2 2
1 0 1
2 1 2
2 2 2
10 9
4 5 4
3 5 0
0 1 5
2 0 1
1 2 0
0 0 5
1 1 4
0 2 4
3 1 4
2 5 1
10 3
0 3 2
1 2 2
0 3 4
0 3 1
1 3 2
3 4 4
1 4 4
3 3 1
2 1 2
4 2 2
10 7
3 2 1
3 1 1
1 1 2
1 2 0
0 2 2
1 2 2
0 2 0
2 2 3
0 3 2
2 2 2
10 5
1 2 1
2 0 2
1 2 0
2 2 2
1 0 2
1 0 1
0 0 1
2 2 1
0 0 0
1 0 0
10 3
2 4 3
1 2 3
3 1 2
2 1 1
1 1 4
1 0 0
1 1 3
4 1 2
2 3 3
3 1 3
10 6
0 3 1
1 3 4
0 4 0
4 0 0
1 0 1
3 1 0
0 2 3
2 2 3
1 1 3
0 0 1
10 4
2 0 2
3 3 1
2 2 0
4 1 0
0 3 1
3 4 3
4 3 2
4 2 3
4 4 0
1 3 4
10 8
4 1 0
0 2 1
0 3 1
4 1 2
0 4 2
2 4 2
3 5 4
4 2 4
1 1 2
0 1 3
10 7
2 0 2
2 1 0
0 0 1
1 1 2
1 0 0
1 2 0
0 2 0
0 2 2
2 2 2
0 1 1
10 7
1 0 3
1 1 2
3 3 0
2 0 1
1 0 1
1 3 1
1 2 2
1 3 0
0 1 0
1 1 1
10 4
1 1 4
4 2 1
1 0 4
2 2 2
3 4 3
4 2 0
2 0 1
0 2 2
2 3 1
0 3 1
10 6
4 1 4
3 2 2
3 0 4
0 1 4
2 4 4
0 1 3
1 3 1
3 4 1
2 4 0
3 3 2
10 7
3 3 3
2 1 1
0 2 3
1 3 1
1 1 3
1 2 1
3 0 0
3 0 2
3 1 2
1 0 0
10 6
3 3 3
0 2 3
3 2 3
0 1 3
0 2 2
2 1 3
2 3 0
2 1 0
0 0 2
0 2 0
10 4
2 2 2
2 1 0
1 0 0
2 2 0
0 0 2
0 2 1
2 2 1
1 0 1
1 2 0
1 2 2
10 6
1 2 2
1 0 0
2 2 1
1 1 2
2 0 0
2 0 1
1 2 0
1 0 2
1 1 0
2 2 0
10 3
2 1 2
2 0 0
0 2 0
1 1 2
2 2 0
2 0 2
1 0 0
1 0 2
1 2 2
2 0 1
10 9
2 0 1
2 1 0
2 2 0
0 1 2
0 0 0
0 1 0
2 2 1
1 2 0
1 0 1
0 0 1
10 4
1 0 1
1 0 0
3 1 3
0 2 0
3 2 1
0 1 1
0 2 2
3 1 0
3 3 0
1 0 3
10 2
1 0 1
1 1 2
2 0 0
2 0 2
0 0 2
2 2 2
1 0 0
0 0 1
0 1 0
2 1 2
10 8
0 1 3
2 3 3
3 0 0
3 1 0
1 0 1
3 2 2
3 3 2
1 3 0
1 2 3
1 3 2
10 9
1 1 2
0 0 2
0 0 0
2 0 2
1 0 0
2 1 1
2 1 2
2 1 0
1 0 2
1 1 1
10 8
0 2 2
2 2 2
2 0 2
1 1 2
1 0 2
0 0 1
0 1 0
1 0 0
0 1 1
0 0 0
10 9
3 2 0
0 0 1
1 2 2
2 0 0
0 2 1
0 1 1
3 2 1
1 0 0
1 1 1
3 1 3
10 6
2 3 3
5 4 4
3 1 1
2 0 1
3 2 3
3 2 4
5 5 0
2 2 0
0 0 3
4 2 5
10 3
1 3 2
3 0 0
3 2 0
2 2 1
2 1 0
0 3 3
3 1 1
1 3 0
1 2 1
1 1 0
10 8
2 2 1
0 1 1
3 3 1
0 2 2
1 2 2
3 1 3
2 3 3
2 1 2
1 0 0
3 1 2
10 8
2 1 1
0 2 1
0 1 3
3 0 0
1 3 0
3 0 2
2 0 3
0 2 2
2 1 0
1 1 2
10 4
2 0 1
2 0 2
2 1 1
0 1 2
2 1 0
1 1 0
0 0 2
0 2 0
0 0 1
2 2 2
10 3
2 2 0
2 1 4
3 1 0
0 3 4
2 1 1
0 0 4
0 3 1
2 2 3
3 3 1
1 3 1
10 3
1 4 1
0 1 3
0 3 1
1 1 3
2 4 0
0 3 3
3 2 1
0 1 0
4 0 1
0 0 3
10 9
2 2 2
2 0 2
1 0 1
0 0 2
2 1 1
0 1 0
2 2 0
0 1 2
2 0 1
2 1 2
10 8
4 1 2
0 4 5
3 1 1
1 1 5
3 3 3
1 1 4
4 3 5
3 0 0
0 5 1
3 3 2
10 2
0 3 3
0 2 0
2 2 3
3 1 1
0 1 2
3 2 3
0 3 0
3 0 2
1 2 2
2 2 2
10 7
4 4 4
3 3 2
2 0 0
4 0 1
0 3 0
0 2 4
4 1 3
3 1 0
2 3 3
2 1 3
10 7
2 4 1
3 2 2
0 4 2
0 2 0
2 4 4
3 4 0
4 2 0
4 3 0
1 2 0
0 0 3
10 2
1 1 1
1 0 1
1 1 2
2 2 1
1 0 2
2 1 2
1 2 0
1 0 0
2 0 0
2 2 2
10 4
0 1 1
0 5 4
2 1 2
4 4 1
0 2 3
1 0 4
2 0 5
2 4 1
4 3 4
0 3 2
10 6
5 3 0
4 2 0
3 4 3
4 5 5
2 1 3
1 2 5
1 5 4
2 2 4
5 3 3
3 3 5
10 9
2 1 2
0 1 1
1 2 0
2 2 0
1 0 2
1 1 1
0 1 2
1 2 1
0 2 2
1 0 0
10 8
0 0 1
1 4 5
3 0 5
0 2 0
2 3 0
2 1 3
2 4 1
5 3 2
0 3 1
1 5 4
10 8
3 2 0
1 0 2
1 2 1
3 2 2
3 1 3
1 3 1
0 2 0
2 1 1
2 1 3
1 3 0
10 2
1 1 4
3 3 1
1 0 5
5 3 0
4 0 5
3 0 3
5 2 3
3 1 4
2 3 1
2 3 2
10 7
3 1 1
3 2 0
0 2 0
2 2 4
1 0 2
3 4 3
2 3 3
4 0 3
2 1 0
2 3 2
10 9
4 4 3
1 3 0
4 4 1
0 2 2
1 1 2
3 1 4
2 3 2
3 3 2
4 4 0
1 2 0
10 5
2 1 2
0 2 2
0 2 1
1 2 0
0 0 2
1 0 0
2 2 1
1 1 1
2 0 2
1 1 0
10 7
2 4 0
3 1 3
4 1 4
1 0 3
2 0 3
4 1 1
3 3 3
1 2 1
3 0 3
4 4 4
10 9
0 0 2
0 2 2
0 0 1
1 2 1
1 2 2
2 2 0
2 1 3
2 0 3
2 2 2
1 1 3
10 3
1 1 0
2 1 3
3 0 4
2 4 0
1 2 1
1 4 3
1 2 3
2 1 2
3 1 3
4 2 2
10 7
2 0 0
2 2 1
1 1 2
0 2 1
0 1 1
2 1 2
0 2 2
2 1 0
0 2 0
1 1 0
10 9
4 1 3
4 3 3
3 0 1
0 4 3
1 2 4
0 4 2
1 4 0
1 1 1
1 1 3
4 0 3
10 3
1 2 2
4 5 0
2 1 1
4 5 1
4 1 4
5 1 0
0 4 5
0 0 3
4 4 4
4 3 5
10 9
5 3 5
1 1 3
0 1 5
0 1 4
0 0 2
2 2 2
3 0 3
5 4 1
3 3 3
1 2 5
10 9
3 1 0
2 1 1
1 1 1
3 3 3
2 0 1
1 2 3
2 3 2
0 2 3
1 1 2
0 3 1
10 8
1 2 1
4 0 3
0 1 1
0 5 1
4 4 0
0 0 5
5 5 0
2 3 5
2 0 4
3 0 4
10 6
0 1 1
1 2 0
1 0 0
1 2 1
2 1 0
2 2 0
2 1 2
1 0 1
1 0 2
0 0 2
10 6
3 0 3
2 4 3
3 4 0
3 4 3
0 0 1
1 1 4
3 3 2
4 3 3
2 1 2
1 2 0
10 2
1 0 0
1 2 2
0 1 0
2 0 1
2 1 0
0 0 0
1 1 0
1 1 2
2 2 2
1 2 0
10 8
3 1 3
0 2 1
2 2 2
1 2 3
1 0 1
1 1 3
2 0 0
2 1 1
0 3 3
0 2 3
10 2
2 1 2
2 3 4
4 1 4
3 3 4
2 2 2
0 3 4
4 2 3
4 1 2
4 2 4
1 3 2
10 2
0 0 3
3 2 1
1 2 3
1 2 2
0 2 3
3 1 3
0 0 0
2 1 0
0 3 3
1 1 3
10 4
4 1 4
3 4 1
1 2 4
4 4 1
4 0 4
1 2 0
2 3 1
3 3 4
3 4 2
2 0 1
10 6
2 0 1
0 1 1
2 1 2
0 2 1
0 2 0
2 2 1
1 0 1
0 1 0
1 0 2
2 0 0
10 3
0 0 1
1 2 1
0 1 0
2 3 1
1 1 3
2 1 3
1 3 3
0 3 2
1 2 0
0 2 2
10 2
0 1 0
0 0 1
2 2 0
1 2 0
1 1 0
1 0 1
2 2 2
2 0 0
0 0 2
0 2 2
10 8
1 1 1
0 1 0
0 0 1
2 0 0
2 1 0
0 2 0
2 1 2
1 1 0
2 1 1
2 2 0
10 3
0 3 3
4 0 4
1 1 1
1 4 0
4 1 2
4 2 0
1 2 4
0 4 3
1 1 0
1 3 3
10 9
0 0 2
2 2 3
4 3 4
2 3 0
3 2 0
1 0 4
0 3 3
3 3 0
2 1 4
1 1 0
10 2
2 3 0
1 0 4
3 1 4
2 3 5
1 2 1
5 5 2
3 4 5
0 1 5
0 2 3
3 4 0
10 2
4 1 0
4 0 1
0 2 1
4 2 3
2 1 1
4 3 2
1 4 3
1 3 2
1 0 0
0 1 4
10 7
1 2 3
2 2 5
5 2 1
5 2 0
5 1 0
3 5 3
3 0 2
1 5 4
0 5 4
2 1 3
10 6
4 0 4
5 4 2
5 5 1
5 3 2
3 0 3
1 4 3
0 5 1
4 4 5
2 1 5
5 2 3
10 8
2 2 4
4 4 4
1 3 1
4 4 3
3 4 0
3 4 3
2 2 0
1 0 1
1 3 2
4 4 0
10 5
1 2 2
2 2 1
0 2 2
2 0 2
1 0 0
0 0 2
1 2 0
2 2 0
2 1 2
1 1 0
10 4
3 3 0
3 1 1
3 0 1
1 0 3
0 0 3
0 3 0
1 2 1
1 3 3
3 2 0
0 3 1
10 5
0 1 1
4 2 3
4 0 4
2 4 1
3 3 3
0 4 4
4 3 4
4 3 2
2 0 2
1 2 2
10 9
2 2 2
1 1 0
1 0 0
1 0 2
2 2 1
0 2 2
1 0 1
0 0 2
0 1 1
0 1 2
10 7
1 4 1
4 1 4
3 0 0
3 0 1
0 3 4
1 3 1
2 1 2
4 2 4
4 0 2
3 2 2
10 4
0 0 0
2 1 1
2 2 2
1 0 1
1 2 1
2 0 1
2 0 0
1 1 0
1 2 2
0 1 1
10 2
1 2 3
0 3 1
3 1 2
0 1 0
3 1 3
0 3 2
0 3 0
1 2 0
3 0 2
2 3 2
10 4
1 1 1
1 0 2
2 1 2
0 3 1
2 3 0
2 3 2
1 1 0
0 1 3
2 1 0
3 0 0
10 7
1 2 2
0 1 0
2 0 2
1 0 2
1 0 1
2 0 1
0 0 0
2 2 2
1 2 0
2 1 2
10 8
5 4 1
3 3 1
1 2 1
1 1 4
1 0 0
4 4 0
3 1 3
3 5 4
2 0 4
4 5 4
10 4
0 4 1
2 4 3
3 0 4
0 0 3
0 1 0
2 0 3
2 0 2
0 3 4
0 4 3
1 4 3
10 2
3 3 4
3 2 2
3 1 3
0 0 4
2 1 0
3 2 1
3 0 2
4 4 3
4 1 1
2 2 2
10 4
3 3 3
1 1 0
3 0 2
0 1 2
3 2 3
1 0 0
1 2 2
0 1 1
1 1 2
0 2 1
10 4
2 1 1
2 2 0
0 1 0
0 0 1
1 2 1
0 0 0
1 0 2
2 2 2
1 1 1
0 2 2
10 7
1 3 1
0 3 2
0 0 0
2 1 3
0 3 3
1 0 0
1 1 3
0 1 3
3 3 1
3 0 3
10 3
1 1 4
3 2 3
1 2 1
0 4 5
3 0 0
0 3 3
0 2 4
1 2 3
4 1 2
1 5 1
10 5
3 3 1
0 3 1
2 3 3
2 2 1
3 3 0
0 2 0
2 3 0
1 2 0
0 1 1
3 0 0
10 3
3 0 4
1 4 1
4 3 1
2 1 4
2 0 0
2 3 2
0 4 0
2 3 4
2 1 0
0 3 2
10 6
0 3 4
1 3 2
1 1 3
1 1 5
2 2 1
4 5 3
0 3 3
4 3 5
3 2 0
3 5 0
10 7
3 3 1
3 2 2
5 0 5
2 2 2
4 3 5
0 5 2
0 4 0
1 5 3
1 1 4
4 1 4
10 7
2 3 2
4 1 4
2 2 0
0 2 4
1 1 1
3 2 0
4 0 4
4 0 3
1 4 0
4 0 1
10 7
0 1 0
1 3 0
1 0 1
0 1 1
1 1 1
0 2 2
0 2 0
3 0 1
3 0 2
0 3 3
10 4
0 0 1
0 2 1
2 1 2
0 0 2
1 2 0
1 2 2
2 2 0
1 0 1
1 2 1
2 1 1
10 8
3 2 0
2 0 1
3 3 3
4 4 3
4 2 4
3 3 4
4 0 2
4 0 4
0 3 2
0 1 3
10 4
2 4 4
5 0 2
2 5 0
0 2 5
1 0 3
1 5 0
1 4 2
3 5 5
3 5 4
1 0 4
10 3
1 4 4
2 0 0
4 1 1
3 2 3
1 3 4
3 3 0
1 3 0
2 4 0
1 2 1
4 0 0
10 6
1 0 2
1 0 4
0 4 4
4 1 4
0 4 2
0 3 2
1 2 1
3 4 2
1 2 0
4 0 1
10 9
2 1 0
1 0 2
0 2 0
0 3 0
0 2 3
0 1 0
0 0 1
3 3 0
2 0 3
0 1 3
10 9
0 2 0
2 4 3
5 2 4
1 3 0
0 4 2
0 0 5
0 0 3
5 5 5
3 3 1
3 4 3
10 8
4 3 4
5 2 2
5 3 5
1 5 4
0 4 0
0 2 2
2 4 2
3 1 5
2 4 5
5 4 4
10 7
2 2 3
1 0 2
1 2 0
0 3 3
0 3 2
2 3 0
0 0 1
2 2 2
3 1 0
2 3 2
10 3
3 0 1
2 0 3
2 3 3
2 2 1
3 2 0
3 2 3
3 3 2
0 3 3
1 2 2
1 3 3
10 7
4 4 0
2 0 0
4 4 2
3 5 4
2 3 5
2 0 5
1 5 2
3 0 0
4 3 3
5 4 2
10 4
3 2 2
4 4 4
1 0 3
4 0 0
1 1 2
1 4 1
2 0 3
1 3 2
3 2 3
1 4 3
10 2
3 0 1
2 3 3
2 3 0
4 0 2
0 3 3
1 4 4
1 0 4
2 2 3
3 0 3
4 3 2
10 2
2 2 5
3 5 2
2 0 3
0 0 4
4 3 2
1 1 5
0 3 4
1 3 0
1 4 2
4 4 2
10 6
2 3 2
3 4 4
3 3 0
4 1 0
2 0 1
1 1 3
1 2 4
1 4 2
3 3 4
3 1 4
10 7
2 3 2
3 2 1
3 3 0
1 0 2
2 1 1
1 3 1
0 0 1
0 3 0
3 0 0
1 2 2
10 2
5 4 5
5 0 4
5 3 2
1 0 1
2 2 4
4 1 5
0 2 3
2 3 5
5 0 0
2 0 4
10 8
2 1 4
0 2 0
1 2 2
1 1 0
4 1 1
3 3 3
3 0 0
0 3 2
3 2 3
0 3 3
10 3
1 2 0
0 2 0
1 1 0
2 1 2
2 0 0
2 2 2
2 2 1
1 0 1
0 1 1
1 1 2
10 8
0 1 2
2 0 0
1 1 0
0 1 0
1 0 2
1 1 2
2 1 1
0 0 2
1 1 1
2 2 1
10 3
1 4 2
3 4 1
0 1 1
2 0 4
2 4 3
3 3 3
4 3 4
2 2 1
4 2 0
3 2 0
10 3
4 4 3
4 4 0
1 0 0
3 0 4
3 2 3
1 4 2
0 3 3
4 1 3
0 4 3
2 3 3
10 4
5 4 2
4 1 5
5 3 2
0 5 2
4 0 3
5 2 2
0 2 4
0 0 5
2 1 4
4 5 2
10 4
4 3 3
4 2 0
1 4 2
4 1 1
1 3 2
4 1 0
3 0 0
1 2 4
0 0 3
3 1 3
10 9
5 4 1
3 0 2
4 2 1
4 0 0
2 0 4
0 0 5
3 0 1
5 0 0
5 3 0
3 3 3
10 5
0 0 3
2 0 4
0 3 2
2 1 2
3 4 0
4 3 2
1 1 3
1 3 2
4 1 4
2 1 3
10 6
4 1 1
3 2 5
0 1 0
0 4 2
0 3 2
5 4 2
5 0 3
1 2 0
5 2 2
0 3 4
10 3
1 4 4
1 5 3
1 1 3
4 4 4
5 2 5
5 4 4
2 0 0
4 2 5
0 5 1
0 3 2
10 4
0 0 2
2 1 2
2 2 0
2 0 1
0 2 0
2 2 1
1 1 0
0 1 2
2 1 1
1 2 2
10 2
2 2 2
2 1 0
2 0 1
1 1 0
3 2 0
1 2 0
2 1 1
0 3 1
3 3 0
2 0 2
10 2
2 2 3
3 1 1
2 2 0
1 3 2
2 0 0
1 2 2
0 2 2
3 2 2
1 3 0
3 2 1
10 6
0 3 0
3 1 1
0 2 1
0 1 2
2 2 1
3 0 2
1 1 2
0 0 3
2 2 2
2 1 2
10 2
3 2 0
3 1 3
2 0 1
3 2 1
0 1 3
0 3 3
2 0 2
2 2 1
2 2 2
1 0 3
10 6
0 3 2
2 2 2
3 0 0
1 2 1
2 0 0
0 1 0
2 2 1
3 3 0
3 2 2
3 3 3
10 7
1 2 3
5 1 1
4 1 2
1 0 3
3 3 5
4 2 1
5 3 3
2 5 0
4 1 3
3 2 5
10 8
0 0 5
2 1 1
1 2 3
3 2 3
2 0 0
5 1 3
2 2 3
5 0 3
3 3 1
5 3 1
10 7
3 0 0
2 4 3
4 3 4
4 0 3
1 4 4
2 4 0
4 1 4
1 4 1
2 1 1
1 0 0
10 3
0 2 1
2 2 2
1 1 0
2 0 1
2 1 2
1 2 1
0 0 1
2 1 1
1 1 2
1 1 1
10 2
0 1 0
0 0 0
2 0 1
2 1 1
1 1 1
2 2 0
0 0 1
1 2 1
0 1 1
2 2 2
10 6
1 4 3
4 4 4
0 5 0
4 0 0
1 2 5
3 4 5
0 0 3
3 2 1
5 3 1
4 1 0
10 4
0 2 1
3 0 0
0 3 3
1 3 1
0 3 2
2 2 0
3 1 0
2 3 3
0 0 1
1 3 0
10 3
0 1 2
1 0 2
0 0 2
0 1 0
1 1 0
0 1 1
1 2 1
1 0 1
2 1 0
2 2 2
10 8
2 2 0
0 2 2
2 0 0
0 0 2
1 1 0
0 0 1
1 0 0
2 1 0
2 1 1
1 1 1
10 7
2 0 3
1 0 3
2 1 1
3 0 1
0 3 0
2 1 3
2 3 0
0 3 3
0 1 0
3 3 2
10 8
0 2 1
2 0 2
0 0 0
2 2 1
2 0 1
1 0 1
0 0 1
0 2 0
1 1 2
0 0 2
10 4
2 0 4
3 1 4
4 1 2
4 1 0
0 4 1
1 1 2
1 1 3
4 4 2
2 0 1
1 0 2
10 5
0 3 1
0 3 3
2 0 3
0 3 0
2 1 0
1 3 4
2 2 1
4 3 0
2 4 4
3 4 4
10 7
0 3 0
1 1 1
3 3 2
2 0 0
3 0 2
2 3 2
1 2 3
0 2 1
2 2 1
3 1 0
10 6
3 2 0
2 3 1
0 2 2
1 1 3
1 0 2
0 2 3
3 2 1
1 2 3
1 3 3
1 3 0
10 5
0 3 1
0 0 0
2 0 1
3 2 2
2 1 3
1 1 2
1 2 3
2 1 2
3 0 0
3 1 2
10 8
2 4 1
4 3 1
1 0 2
0 2 2
4 0 0
2 4 3
1 4 4
2 4 4
4 1 3
4 4 3
10 6
1 2 2
2 2 1
3 3 0
3 3 3
2 3 1
0 1 0
2 1 1
1 1 3
2 3 0
2 3 3
10 9
0 3 0
3 1 2
1 0 3
1 2 0
0 3 3
0 1 0
2 2 3
0 0 3
2 2 1
2 2 0
10 2
1 2 0
4 3 3
1 1 2
4 3 1
3 2 1
0 3 2
1 4 4
2 4 3
1 3 1
1 1 3
10 5
2 3 2
0 4 2
1 1 0
1 2 0
3 1 4
3 1 0
1 2 3
0 0 0
2 0 4
4 3 0
10 6
1 1 2
1 2 2
1 3 1
3 1 1
3 1 0
2 2 2
2 2 1
0 0 0
3 3 2
1 0 2
10 3
1 1 1
1 0 1
1 0 3
3 3 0
3 3 3
1 0 0
2 0 3
0 1 2
2 3 3
3 3 1
10 8
4 3 0
0 0 1
4 2 1
3 2 0
3 4 0
4 2 2
3 3 0
3 0 2
4 1 1
1 1 0
10 6
1 0 4
3 1 4
4 0 3
1 3 0
3 2 5
0 4 0
2 3 4
2 4 0
2 5 1
4 2 0
10 5
1 3 2
3 3 2
3 1 0
3 1 1
1 2 3
0 2 1
0 1 3
0 1 1
2 3 2
2 3 3
10 4
1 1 2
0 0 2
2 0 2
1 2 2
2 2 1
0 0 0
2 2 2
1 2 1
0 2 1
1 1 0
10 6
5 0 1
0 5 4
5 3 5
4 1 2
0 2 5
2 3 5
2 3 4
4 5 3
2 4 4
1 1 5
10 7
2 1 0
0 1 2
1 2 0
0 2 0
1 0 0
0 1 0
2 0 0
2 2 0
2 0 1
2 2 2
10 5
1 0 0
2 1 0
2 1 1
0 2 0
0 0 1
1 0 1
2 1 2
0 1 1
1 2 1
1 1 1
10 6
0 0 0
2 0 2
1 1 0
1 1 2
0 2 0
1 2 1
0 0 1
2 2 1
2 2 0
0 2 1
10 7
4 0 4
3 1 4
2 0 1
0 3 4
0 1 3
0 1 1
0 5 0
5 0 4
1 2 2
3 4 0
10 3
0 2 0
1 0 3
2 1 3
2 3 3
3 2 1
0 3 1
0 0 0
3 3 0
2 3 2
0 3 3
10 9
1 1 0
2 0 0
1 1 2
0 2 0
1 0 0
1 2 2
1 1 1
0 1 0
2 1 0
2 2 1
10 6
0 2 0
0 0 0
2 2 2
1 2 1
1 0 0
2 1 0
2 2 1
1 1 0
1 0 2
1 2 0
10 9
1 3 2
5 1 1
2 5 2
3 0 1
3 5 2
0 4 1
1 3 3
0 5 4
4 0 2
1 0 1
10 2
0 0 1
2 1 3
2 1 2
2 1 0
0 1 3
1 2 2
0 1 2
2 3 3
3 3 0
2 2 3
10 5
2 0 1
1 2 1
1 0 2
2 0 0
2 0 2
0 0 0
1 2 0
1 0 0
0 2 1
1 2 2
10 9
5 4 4
1 0 3
1 4 4
3 5 3
5 3 5
2 3 3
5 2 4
3 4 3
4 0 3
3 2 2
10 6
0 0 2
1 2 0
2 0 2
0 2 2
1 3 1
3 2 0
0 1 3
2 2 0
2 3 2
0 0 3
10 9
1 2 1
2 1 2
1 0 0
2 0 0
2 0 2
0 1 2
0 2 1
1 1 0
1 2 0
0 1 1
10 2
0 0 2
2 0 2
1 1 0
0 0 1
2 2 2
1 0 0
1 1 1
0 2 2
0 1 2
0 2 0
10 9
0 0 1
1 2 0
2 2 2
0 1 2
1 1 1
1 1 2
0 0 0
1 1 0
2 2 0
2 1 1
10 7
3 4 4
0 1 2
2 0 1
4 3 1
3 2 4
1 1 1
1 3 0
0 4 0
0 1 3
2 2 0
10 9
1 2 2
1 0 2
2 2 0
2 1 1
0 1 2
2 0 0
2 1 0
2 1 2
1 1 2
2 2 2
10 5
1 2 1
0 1 3
2 2 5
4 4 1
0 5 2
3 3 1
5 2 2
5 5 1
2 1 1
1 3 3
10 5
0 0 4
0 2 0
3 4 2
3 1 1
4 4 3
4 0 0
1 2 3
2 4 3
2 2 1
3 0 2
10 3
0 1 1
0 2 2
1 0 0
2 1 0
1 2 0
2 2 2
2 2 0
0 0 0
1 2 1
2 0 1
10 5
0 1 0
3 2 0
0 0 2
2 3 3
1 0 3
2 0 3
3 1 3
1 0 1
3 3 3
3 2 3
10 5
5 0 3
2 5 4
3 4 3
2 2 2
2 3 4
1 5 2
3 2 3
1 0 1
4 2 1
3 5 3
10 4
0 0 2
2 0 2
0 1 0
2 2 0
1 2 2
0 2 1
2 1 1
1 1 2
1 1 1
2 1 0
10 2
4 4 0
1 5 4
0 1 0
4 5 0
4 0 2
0 3 0
3 5 0
2 2 0
0 2 2
0 0 3
10 4
2 5 4
5 4 4
0 4 2
3 0 3
3 4 0
1 0 1
2 1 1
3 2 5
0 1 5
1 1 1
10 9
5 0 1
1 1 0
5 0 2
0 1 3
4 4 4
4 1 3
3 4 1
4 5 1
5 0 0
2 4 1
10 4
1 2 1
1 1 0
1 1 2
2 1 0
0 2 1
1 0 0
2 1 1
0 2 0
2 0 2
0 1 2
10 3
2 0 3
3 0 2
1 1 1
0 3 0
1 3 3
0 3 2
3 0 3
3 3 0
0 3 1
2 2 1
10 3
2 0 3
2 3 1
1 3 2
2 0 2
3 2 1
1 4 3
1 2 4
4 0 1
1 2 3
1 2 0
10 7
2 2 1
1 0 2
0 0 1
0 0 2
2 1 2
1 1 0
2 2 2
0 1 0
2 0 1
1 2 1
10 3
0 1 2
0 1 0
1 1 0
1 2 0
2 1 2
1 0 1
1 1 1
2 2 1
2 0 2
0 2 0
10 2
3 4 4
4 0 1
0 2 2
1 0 3
3 0 0
2 3 4
2 0 4
4 0 3
1 2 3
3 2 3
10 6
0 2 0
1 1 1
1 3 2
0 0 2
2 0 1
2 3 3
0 3 1
3 3 0
0 1 2
0 3 2
10 7
1 3 4
5 1 5
4 5 5
1 1 5
4 3 0
0 0 2
5 4 4
3 0 0
0 4 2
3 2 3
10 7
2 0 0
1 4 2
2 3 3
4 4 4
0 0 0
1 0 0
4 0 1
2 2 0
4 2 1
0 3 3
10 7
1 0 0
0 4 2
1 3 4
4 0 0
1 1 3
1 5 0
2 0 1
2 5 0
1 1 5
1 3 3
10 8
3 2 0
2 2 2
0 3 4
3 0 2
2 4 2
3 2 4
3 3 3
2 1 0
1 0 2
0 1 4
10 4
1 2 2
0 2 2
0 4 3
0 1 4
2 4 2
3 1 0
1 0 2
1 2 3
3 2 2
4 0 0
10 6
0 1 1
0 1 0
1 1 0
0 2 0
0 1 2
1 1 1
0 2 1
1 0 0
2 0 0
1 2 0
10 5
1 2 0
0 0 3
3 3 5
3 4 5
2 0 1
0 0 1
5 1 4
5 2 1
1 5 5
2 5 2
10 7
0 2 2
0 1 2
1 0 0
2 0 2
0 0 0
2 0 0
0 2 1
1 2 0
1 1 2
2 1 0
10 7
1 3 2
1 1 0
1 0 2
2 0 1
1 0 0
1 2 0
3 3 3
0 2 1
0 2 3
0 3 1
10 7
1 3 4
5 4 1
3 2 3
0 1 3
5 1 3
0 3 5
5 1 2
2 2 1
4 0 1
2 1 5
10 8
2 1 2
1 3 2
2 3 1
0 0 1
1 2 2
2 3 0
2 1 0
3 0 3
0 1 1
1 2 0
10 4
3 2 2
2 1 2
3 0 3
4 1 2
3 1 2
4 0 4
2 1 1
3 1 0
0 1 3
4 0 3
10 5
0 2 2
3 1 3
3 1 0
1 0 1
0 3 2
1 1 2
0 3 1
2 3 3
2 2 3
3 0 1
10 9
1 0 3
3 3 4
0 2 0
2 2 1
1 3 1
0 3 1
2 3 2
0 1 0
1 1 2
2 1 4
10 3
1 2 2
0 1 1
2 2 0
2 0 0
2 1 0
2 0 1
2 1 2
0 0 1
0 2 1
1 0 2
10 9
5 1 4
5 1 3
0 4 4
1 5 4
2 3 1
2 4 5
0 1 4
3 3 4
5 0 0
1 0 3
10 9
1 1 1
1 1 2
1 1 0
2 2 0
0 0 2
1 0 0
1 2 2
0 1 0
2 0 2
1 0 2
10 7
1 2 0
0 0 1
2 0 1
1 1 1
2 1 0
0 1 2
1 0 2
0 2 0
1 0 0
2 0 2
10 9
1 2 2
2 0 2
0 0 2
0 1 1
1 1 2
0 2 1
1 1 1
0 1 0
2 1 0
1 2 1
10 4
5 4 3
5 4 2
5 5 2
4 4 5
3 4 2
2 0 1
4 5 2
1 4 4
0 5 5
5 2 4
10 5
4 4 1
0 1 2
3 1 4
1 3 1
1 0 2
2 2 0
0 0 1
0 1 3
2 1 4
1 0 0
10 6
0 2 0
1 1 1
2 0 0
1 1 2
2 1 0
2 2 0
2 0 1
2 2 1
1 2 1
0 2 1
10 5
0 2 0
4 1 1
2 3 3
3 1 4
4 4 2
1 4 3
2 4 3
4 0 2
3 3 2
0 2 3
10 9
2 0 2
0 1 1
2 2 1
2 1 0
0 2 0
0 2 2
0 0 1
0 0 2
2 0 0
1 1 0
10 4
4 4 0
1 0 4
1 1 3
4 3 0
0 3 2
1 2 2
2 2 1
2 2 3
0 1 2
3 2 3
10 2
3 4 5
0 4 0
3 2 2
0 5 3
2 4 5
1 0 4
5 5 2
4 3 4
1 1 2
0 0 4
10 2
1 1 4
2 1 2
0 0 1
3 2 0
2 4 3
4 4 1
3 3 0
0 2 4
2 2 3
4 2 1
10 5
1 0 3
0 2 0
3 1 1
2 3 0
3 0 3
2 0 1
3 1 2
1 0 2
2 2 0
3 0 1
10 9
0 0 2
1 2 0
1 0 1
2 2 1
0 1 0
2 2 0
0 2 2
1 1 0
2 0 0
1 2 2
10 3
2 3 2
2 2 2
0 2 3
4 2 1
4 0 3
2 1 3
2 4 2
1 1 3
1 2 3
1 3 2
10 5
0 1 2
2 3 5
4 0 1
5 3 4
5 1 5
1 5 3
0 3 2
0 4 3
4 3 1
2 0 0
10 3
1 4 2
3 1 4
0 5 1
0 1 0
4 4 1
2 3 1
0 0 2
0 1 1
4 2 4
5 2 3
10 7
2 1 1
0 3 1
4 2 2
3 3 4
1 0 3
4 1 1
2 2 1
2 1 3
0 2 0
4 1 2
10 4
2 3 3
1 2 1
3 1 1
3 0 3
3 1 3
1 1 0
0 1 2
2 3 0
1 3 0
0 3 3
10 8
2 0 4
4 1 3
0 4 4
1 0 2
1 4 1
4 4 4
1 0 1
2 3 4
2 3 2
3 3 3
10 7
1 0 0
2 0 1
1 2 2
0 0 1
2 0 2
0 1 0
1 1 0
0 2 1
0 0 0
2 1 0
10 8
3 1 0
1 1 3
1 2 0
2 3 3
1 3 3
1 0 1
3 2 0
2 1 0
0 0 3
3 2 2
10 4
4 4 4
0 2 4
1 4 2
0 1 3
3 0 3
4 0 4
3 2 1
4 3 2
3 4 3
4 3 1
10 9
4 5 0
0 4 4
3 0 3
1 5 3
1 2 2
5 1 5
1 1 0
5 3 3
3 2 4
0 2 4
10 7
4 4 0
0 5 1
1 2 4
1 5 2
0 5 4
5 2 0
4 2 3
3 0 2
4 2 2
3 4 3
10 6
3 5 1
4 5 0
3 4 1
0 4 4
2 4 5
5 4 0
1 5 3
0 1 4
2 1 3
4 2 5
10 2
0 1 1
1 1 1
0 2 0
2 1 1
1 2 2
0 2 1
0 0 1
2 2 2
2 0 0
0 1 2
10 3
1 0 3
2 1 1
1 1 0
0 1 3
0 0 2
3 1 3
2 0 1
0 2 2
3 2 0
1 1 1
10 6
1 2 3
2 3 4
5 4 3
4 4 2
0 1 1
4 2 4
4 5 0
5 3 3
1 1 5
3 5 2
10 2
1 4 1
5 4 5
2 2 2
1 1 5
3 4 3
5 0 0
2 4 5
0 5 5
3 1 5
0 4 1
10 6
2 3 3
0 4 1
1 3 3
2 2 4
4 2 3
2 3 0
0 0 1
4 0 2
0 3 4
1 2 3
10 2
2 4 0
0 1 0
1 2 2
4 4 0
1 0 0
4 1 0
0 4 1
3 2 3
3 1 1
3 3 2
10 6
5 5 2
3 0 0
2 4 5
2 1 2
0 2 0
2 3 0
1 1 4
2 3 3
5 5 4
4 0 1
10 8
2 2 1
1 0 1
1 0 2
2 1 1
0 1 1
2 0 1
0 0 0
2 2 2
1 0 0
1 1 2
10 3
4 2 0
5 5 0
3 0 5
2 1 4
1 2 2
4 5 0
5 3 0
2 5 5
0 2 4
4 5 3
10 2
5 1 4
2 2 1
0 0 2
0 5 5
1 1 5
2 3 2
0 2 4
1 1 3
0 0 0
2 2 3
10 6
3 2 4
1 1 5
2 0 4
3 1 1
1 2 4
4 4 3
5 5 1
5 0 1
5 0 0
1 4 1
10 7
3 5 0
0 4 1
0 3 3
4 2 2
5 3 4
5 2 1
5 4 3
4 2 0
4 5 1
1 5 3
10 7
2 1 1
3 5 4
1 2 5
3 1 4
4 3 4
2 2 3
0 1 2
4 3 0
3 4 4
3 1 5
10 6
3 0 4
2 4 3
1 4 1
2 2 1
0 4 1
0 1 3
0 2 1
3 3 1
3 2 0
2 3 0
10 4
4 5 1
0 3 0
2 3 1
1 5 5
2 0 1
5 4 1
5 0 1
5 5 0
2 3 2
1 1 4
10 7
1 2 0
2 3 1
1 1 1
0 3 2
3 1 0
0 2 3
2 2 3
2 3 2
0 2 2
1 2 2
10 9
2 1 2
1 1 0
2 2 0
0 2 0
1 0 2
1 1 2
2 0 2
2 1 0
0 0 2
0 1 2
10 7
1 1 0
2 1 1
2 2 2
0 0 0
0 1 2
1 0 1
2 0 1
1 2 1
1 2 0
2 1 2
10 4
4 2 0
5 1 3
4 1 1
0 3 0
0 0 5
1 1 2
5 3 0
0 1 4
2 2 2
3 5 2
10 7
2 1 1
0 0 1
1 0 2
0 1 1
0 2 2
1 1 1
1 2 0
0 2 0
1 0 1
2 0 2
10 2
3 0 0
3 3 4
4 4 0
2 1 0
2 4 0
2 3 4
3 1 3
4 3 1
3 3 1
3 2 2
10 7
0 2 2
0 0 1
2 1 1
0 0 0
1 2 2
0 1 0
0 2 0
1 1 1
2 0 0
0 2 1
10 4
2 0 3
0 2 3
3 0 3
2 0 0
0 1 0
0 0 1
1 0 2
0 3 2
3 1 1
1 1 2
10 4
0 2 2
1 2 1
1 0 2
0 0 2
1 0 1
1 1 1
2 1 2
1 2 2
2 0 2
2 0 1
10 2
1 0 2
5 4 4
4 1 4
1 3 0
4 3 0
2 4 1
5 0 5
0 0 5
3 5 2
4 1 2
10 6
2 3 1
1 2 4
4 1 4
0 4 1
3 3 2
4 2 4
0 1 3
2 4 4
0 1 0
1 0 0
10 8
4 4 0
5 3 5
5 4 5
4 3 5
2 0 0
1 5 2
1 4 1
4 5 0
0 3 4
3 2 0
10 3
2 3 0
0 4 0
4 1 4
5 2 5
5 3 4
5 5 4
5 5 2
0 1 4
4 1 5
0 1 2
10 2
2 3 1
2 4 2
2 1 0
3 0 3
3 3 3
0 3 1
0 4 1
2 1 4
4 1 2
3 4 1
10 7
0 1 2
2 2 0
2 1 2
0 0 2
1 0 1
1 3 0
0 3 3
2 0 0
2 2 2
0 1 3
10 2
0 4 0
1 4 0
4 3 4
3 5 5
2 5 3
0 1 4
0 3 3
2 0 4
5 0 0
5 4 5
10 7
1 3 2
3 3 1
0 2 2
0 1 3
3 3 3
3 0 1
3 1 0
0 3 2
2 3 0
1 0 0
10 9
0 1 3
3 2 1
1 3 1
0 2 1
0 0 0
1 3 3
3 0 0
1 0 1
1 0 0
0 2 2
10 7
4 2 2
0 5 0
5 0 3
5 4 0
4 5 2
4 3 0
5 1 0
2 5 2
2 5 4
2 2 2
10 9
2 2 4
3 2 2
4 0 1
0 0 4
3 4 1
1 2 0
2 4 2
0 4 0
3 0 0
3 3 0
10 6
3 1 2
1 0 1
1 2 2
2 0 2
0 2 2
3 0 3
0 0 2
2 0 1
2 1 1
0 3 1
10 8
0 4 1
0 1 2
3 4 2
1 2 4
1 0 1
3 1 4
3 1 2
2 1 1
3 4 4
2 2 3
10 2
2 2 0
0 1 2
2 1 1
0 0 2
1 2 1
0 0 0
0 2 0
0 0 1
1 1 2
2 0 0
10 5
4 5 5
2 0 3
4 3 2
4 5 2
2 4 5
0 4 2
1 2 2
3 0 2
3 0 4
1 0 5
10 4
2 0 1
0 0 0
0 1 2
2 1 0
1 2 2
1 2 1
1 1 0
2 2 2
2 2 1
0 0 1
10 6
5 1 3
0 4 1
4 2 5
0 3 3
3 0 3
5 4 1
4 0 3
0 5 3
1 5 0
3 5 0
10 2
4 4 2
0 4 4
4 1 4
4 2 1
4 0 1
2 4 0
2 2 3
1 3 4
2 0 3
3 2 2
10 3
0 2 1
0 1 0
3 3 2
3 3 3
3 3 0
2 0 1
2 1 1
1 1 0
0 3 1
1 1 1
10 8
3 4 4
2 0 2
3 3 0
0 0 3
2 2 3
3 3 4
0 1 0
4 4 2
4 1 1
2 0 1
10 4
4 4 4
2 2 4
3 4 2
4 1 2
3 2 1
3 4 0
1 4 1
0 4 0
2 0 2
4 2 0
10 7
2 0 2
0 0 2
1 1 1
1 2 0
2 0 1
0 2 2
0 1 1
2 0 0
1 1 0
2 1 2
10 4
3 2 0
3 1 3
2 0 1
0 1 2
0 2 1
1 0 2
2 1 2
1 1 1
2 3 2
3 1 2
10 5
2 1 2
2 1 1
1 1 1
1 0 1
0 1 1
2 0 1
0 2 1
2 2 0
1 0 0
0 0 0
10 6
3 0 2
2 2 3
1 0 3
4 3 1
2 1 0
3 3 1
4 4 1
1 4 3
2 4 3
2 4 2
10 9
2 1 2
2 0 0
2 2 0
0 0 1
2 1 0
0 1 0
1 1 1
2 0 2
1 2 0
2 1 1
10 5
2 2 5
2 0 2
1 0 5
5 4 0
5 5 3
5 3 1
5 2 0
4 4 3
3 5 1
5 4 2
10 7
3 3 0
2 3 3
2 1 0
0 1 3
0 0 0
1 1 2
1 3 2
2 1 3
0 2 1
2 0 0
10 6
1 2 0
0 1 2
0 2 0
0 1 0
1 1 2
0 2 1
2 1 0
2 1 1
1 2 1
1 1 1
10 5
1 3 0
2 3 1
3 2 0
0 3 2
0 3 1
0 1 3
1 1 3
2 3 0
1 3 2
1 0 2
10 3
0 0 3
2 0 1
3 1 0
1 2 1
0 0 0
2 3 0
2 0 3
3 3 0
0 3 3
0 2 0
10 9
2 2 1
1 1 4
1 3 1
0 1 3
2 3 4
4 2 3
0 4 1
4 3 0
2 1 2
3 2 0
10 7
1 2 1
0 0 1
1 2 2
0 1 0
0 2 0
2 0 1
1 2 0
2 1 0
0 1 2
0 0 2
10 2
0 1 0
1 1 1
1 0 0
1 1 2
1 2 0
0 2 2
1 2 1
2 1 2
1 2 2
2 2 2
10 2
3 2 3
0 0 1
0 1 3
2 3 1
0 0 0
1 3 2
3 1 1
3 0 1
1 0 0
3 2 1
10 5
1 0 5
0 1 4
5 0 1
5 0 3
0 5 1
5 0 4
5 1 5
0 1 0
5 4 4
2 2 3
10 7
0 1 2
5 2 2
1 4 5
3 1 0
4 0 3
5 1 1
4 0 0
1 1 4
2 2 3
3 5 1
10 9
3 4 2
4 1 4
5 5 5
2 3 1
3 2 5
2 5 4
0 0 5
3 0 3
2 4 5
1 4 4
10 4
4 0 5
5 5 2
2 1 1
0 0 1
1 3 2
1 5 5
5 0 3
2 5 1
3 3 2
5 0 2
10 6
1 2 1
0 1 3
0 2 1
3 2 0
1 1 1
2 1 1
0 3 2
0 3 1
3 1 3
2 0 3
10 9
2 3 3
1 0 0
2 3 1
1 1 4
1 4 3
1 0 3
4 2 2
2 4 1
1 0 1
3 1 1
10 4
0 5 2
5 2 5
5 1 0
0 3 5
4 1 1
3 0 2
4 0 1
3 4 1
1 0 4
4 3 5
10 3
1 1 0
3 1 2
1 1 1
0 0 2
3 2 2
1 2 2
1 2 3
0 3 1
1 0 2
0 3 3
10 7
1 1 0
1 0 2
0 1 1
2 0 1
2 0 2
2 0 0
0 2 2
1 2 1
0 1 0
1 1 2
10 4
1 2 2
2 0 2
2 2 0
0 1 0
1 0 2
2 1 2
1 1 1
1 0 0
2 2 1
1 0 1
10 6
1 4 2
3 3 2
3 1 1
3 0 2
4 5 2
4 4 3
5 4 3
1 1 0
1 0 3
2 5 3
10 6
1 2 1
2 2 2
2 2 1
2 0 2
1 0 0
1 1 2
1 1 1
1 0 2
0 1 2
0 0 0
10 5
0 1 2
2 1 2
2 2 0
1 1 1
1 0 0
2 0 1
1 1 0
0 1 0
0 2 0
2 0 0
10 7
0 0 3
1 2 2
3 4 5
5 2 0
4 0 0
4 1 1
3 5 4
5 4 4
3 0 2
3 4 4
10 5
1 1 0
1 2 0
2 0 2
0 2 1
2 1 0
1 0 2
1 2 2
1 0 1
1 0 0
0 2 0
10 6
0 2 1
2 0 2
0 0 2
2 1 1
2 1 0
1 1 2
1 0 0
0 2 0
1 2 1
1 2 0
10 6
0 0 2
2 2 1
1 2 2
1 1 2
2 2 0
0 1 2
2 0 2
1 0 1
0 1 0
1 0 2
10 9
1 0 1
2 0 1
1 1 2
0 2 2
1 2 0
2 2 2
1 1 1
2 2 0
2 1 0
1 2 1
10 3
2 1 1
2 0 0
2 1 2
0 1 0
2 0 2
2 1 0
1 1 0
1 1 2
2 0 1
1 0 1
10 9
1 1 2
1 3 0
1 3 3
1 2 2
2 3 3
3 2 1
2 1 0
0 0 2
0 3 0
1 3 2
10 6
1 0 1
3 0 1
3 1 2
2 0 3
3 0 3
2 3 2
1 3 0
0 1 1
2 2 1
1 2 3
10 3
0 4 3
0 2 0
3 1 0
4 3 2
1 0 3
3 3 3
3 3 0
4 4 1
3 4 0
1 4 2
10 9
1 0 0
1 2 1
2 2 0
0 0 2
2 0 0
0 1 2
0 2 1
2 2 2
1 0 2
0 1 1
10 9
3 3 1
3 1 0
0 3 3
1 2 2
0 1 3
3 1 3
1 0 2
0 3 2
0 3 1
1 2 3
10 7
2 1 0
0 0 0
3 2 1
0 4 4
0 3 2
2 2 1
0 2 4
3 1 4
1 0 2
0 3 0
10 8
1 2 1
2 1 2
3 3 1
3 3 0
0 1 0
0 3 2
2 2 0
2 1 0
2 1 1
0 1 1
10 4
3 4 0
3 5 3
1 4 5
5 3 4
2 3 3
0 3 0
0 2 4
2 2 2
4 5 3
5 2 3
10 3
1 4 2
0 2 0
1 1 1
1 1 2
4 5 1
2 1 5
1 0 4
2 4 3
1 3 0
0 0 0
10 9
2 2 2
0 1 1
2 1 1
2 0 0
2 0 2
0 0 0
2 0 1
1 0 0
1 1 1
1 0 2
10 4
0 1 2
0 2 0
2 1 2
1 1 2
0 2 2
0 1 1
2 0 2
2 1 0
1 0 2
2 1 1
10 4
3 1 1
0 3 0
3 3 2
3 3 1
1 1 2
1 3 0
3 1 0
0 2 0
2 1 3
2 2 1
10 5
4 4 1
0 2 2
1 3 1
3 2 4
0 0 4
4 2 3
3 3 2
0 2 4
4 1 3
3 4 1
10 6
1 1 0
3 3 0
0 1 2
3 0 3
3 2 1
2 0 2
1 1 2
1 3 3
3 2 3
2 2 3
10 3
3 1 1
1 4 2
3 0 4
0 0 4
1 0 4
1 4 1
0 2 0
0 3 2
4 0 0
2 2 3
10 9
1 3 2
3 2 3
0 2 0
1 1 3
2 3 0
0 0 1
3 1 1
3 1 3
3 3 0
1 0 3
10 7
2 2 3
2 1 1
3 0 2
0 0 1
0 1 2
3 1 3
0 1 3
2 3 2
1 1 0
3 2 1
10 3
0 4 0
4 3 4
3 3 3
3 3 4
5 0 3
0 2 1
5 0 4
0 2 3
0 2 5
4 2 2
10 4
1 1 1
1 0 2
0 1 1
1 1 2
2 2 0
0 1 0
0 1 2
0 2 0
2 1 0
1 0 0
10 3
3 0 0
2 2 2
0 1 2
3 0 3
0 3 3
1 2 1
2 3 3
2 1 0
2 0 0
0 1 1
10 8
3 4 4
0 0 2
3 3 4
0 1 4
2 3 2
2 0 2
1 1 4
3 1 2
3 4 0
0 2 2
10 3
2 0 3
3 2 0
2 3 3
0 1 1
3 1 2
2 0 1
3 0 1
2 0 0
1 2 3
1 1 0
10 6
2 2 0
0 2 0
2 2 1
0 1 0
2 2 2
0 2 1
0 1 1
2 1 1
1 2 2
2 0 2
10 8
0 4 1
4 1 3
4 0 1
0 3 0
5 1 2
5 3 4
0 2 3
1 4 4
1 2 0
2 2 4
10 3
1 0 0
0 3 0
2 3 2
0 3 3
3 3 2
0 2 3
0 1 3
3 1 3
1 1 1
1 1 3
10 7
3 0 4
0 1 1
2 4 4
2 4 2
1 5 1
5 0 3
4 2 1
3 1 3
0 5 5
1 4 3
10 6
3 1 2
3 2 0
3 3 0
0 3 0
1 2 0
1 3 2
2 2 0
3 1 3
1 0 2
0 1 2
10 3
2 2 0
1 2 0
1 1 0
1 1 2
2 0 2
2 2 2
0 1 0
0 2 2
1 0 1
1 2 2
10 2
0 0 2
4 3 4
3 3 2
3 0 4
2 2 2
1 0 2
0 0 4
2 4 2
2 3 4
3 2 3
10 3
2 2 0
0 0 0
0 3 1
0 2 0
1 3 3
1 0 0
1 0 2
2 3 1
2 0 3
0 1 2
10 7
2 0 1
0 0 2
2 1 1
0 1 2
1 1 0
2 1 0
2 1 2
1 2 2
2 2 0
0 2 0
10 7
0 4 2
2 0 2
2 1 4
1 3 4
0 1 1
1 2 4
4 0 4
1 1 0
4 0 0
0 4 1
10 6
0 2 3
2 4 2
1 0 3
4 3 2
2 1 0
0 0 3
1 0 0
3 1 2
0 2 0
3 3 2
10 2
1 1 4
0 4 2
1 0 1
3 3 4
4 4 5
5 3 4
3 1 1
1 3 1
1 3 3
0 2 3
10 2
2 1 2
0 4 5
3 5 3
5 3 5
3 5 5
3 0 1
2 1 4
3 2 2
2 5 1
2 3 0
10 7
2 0 3
3 0 1
1 3 0
3 3 1
1 0 2
0 0 1
4 2 3
0 0 4
4 1 0
4 0 3
10 8
3 3 3
5 3 5
4 2 3
4 2 4
3 4 2
5 3 0
2 2 1
3 1 4
2 2 2
1 2 4
10 2
0 2 1
3 3 3
2 3 2
3 2 1
1 3 1
0 3 0
1 3 0
1 3 3
2 1 2
3 3 2
10 4
5 0 2
3 3 3
4 0 4
0 3 5
1 3 2
1 2 4
1 5 0
2 1 3
2 5 3
4 1 3
10 9
5 5 4
4 3 4
5 0 2
3 0 2
3 1 5
0 4 0
4 2 5
5 2 1
4 0 5
3 4 0
10 7
2 1 4
0 4 1
2 0 0
0 3 1
4 1 3
0 2 3
4 4 0
0 2 4
2 1 3
4 2 3
10 9
1 1 0
1 0 2
3 1 3
3 1 1
0 0 3
1 2 3
1 2 1
0 2 3
0 1 0
1 2 0
10 9
0 3 0
3 0 0
2 5 4
5 2 4
1 1 1
4 4 4
3 1 0
3 0 2
5 3 2
4 2 5
10 2
1 1 1
0 0 2
2 1 1
1 0 1
1 0 2
2 2 1
0 1 2
0 2 1
2 1 2
1 0 0
10 5
0 1 4
1 0 4
3 0 4
0 0 1
0 2 2
0 0 2
1 4 0
0 3 3
0 3 1
3 0 3
10 4
1 2 0
3 3 1
3 0 3
1 1 1
0 2 0
2 2 2
3 2 0
2 0 3
2 0 0
0 1 0
10 9
1 1 2
2 1 2
2 1 0
0 2 1
2 1 1
0 0 0
1 1 0
1 1 1
1 2 2
0 0 2
10 3
2 0 2
2 2 1
2 1 0
2 2 2
0 1 1
1 2 1
1 2 2
0 0 1
0 0 0
1 0 2
10 4
5 3 2
3 2 3
3 5 3
1 4 0
2 5 3
3 3 2
2 1 0
0 2 4
0 0 0
1 2 4
10 3
3 2 4
2 1 0
4 2 1
1 4 4
2 3 1
1 3 1
3 2 1
4 4 0
0 3 0
3 0 1
10 9
2 1 1
2 2 0
3 3 0
1 3 1
3 0 0
0 2 0
2 3 3
2 1 2
2 3 1
0 1 3
10 7
1 3 2
0 0 2
3 2 0
3 1 3
3 2 1
3 3 0
0 2 1
3 0 3
3 0 2
1 3 3
10 8
2 2 3
0 0 4
4 2 4
1 0 3
3 3 3
0 2 2
0 0 2
3 4 2
1 3 3
1 1 4
10 9
1 3 2
1 0 1
3 2 0
1 2 3
0 2 0
2 0 3
1 3 1
3 3 2
2 1 0
3 1 0
10 6
0 2 0
0 2 2
0 5 4
0 5 5
0 0 5
3 4 3
4 5 2
0 3 3
5 0 4
5 0 0
10 8
1 3 1
0 0 1
2 2 4
3 3 1
4 0 4
1 3 0
2 2 3
2 1 3
2 3 4
4 4 1
10 6
4 5 3
4 1 3
0 1 1
3 3 1
2 3 3
4 1 1
1 4 1
3 5 0
3 4 2
0 5 0
10 9
1 0 1
0 3 2
0 2 3
0 1 3
1 2 1
3 1 3
2 2 2
2 3 0
1 3 0
2 1 0
10 9
0 2 1
2 2 1
1 1 0
2 1 2
0 0 2
1 1 2
2 1 0
0 0 1
1 2 0
0 2 2
10 7
1 5 4
2 3 2
1 0 1
4 4 1
0 1 4
3 3 1
0 5 3
0 3 3
3 5 5
1 2 1
10 4
0 1 1
2 0 1
1 0 0
2 1 0
2 1 2
1 2 2
2 1 1
0 0 1
2 2 1
1 1 2
10 6
0 1 1
4 1 0
4 3 0
4 0 4
1 2 0
2 0 4
0 2 4
4 4 4
3 1 2
0 3 0
10 8
1 2 0
1 1 2
3 1 3
0 3 2
3 2 1
1 1 0
1 0 3
3 2 0
2 3 0
0 3 3
10 2
0 0 0
3 0 3
2 3 2
0 1 3
0 2 0
3 0 0
2 1 3
1 2 2
2 3 1
0 0 1
10 3
0 0 0
1 0 1
2 0 1
0 2 0
2 2 0
2 2 1
1 2 1
2 0 2
2 0 0
1 1 2
10 9
2 0 1
0 2 0
1 1 2
1 0 1
1 1 1
1 0 2
1 0 0
1 2 2
2 1 1
0 0 0
10 7
3 1 3
0 0 1
0 3 3
4 4 2
4 2 3
0 2 0
2 2 4
4 3 2
3 3 4
1 1 0
10 2
1 3 0
1 1 1
4 4 1
1 3 4
3 0 1
0 3 3
0 2 1
2 3 1
3 2 1
1 3 3
10 2
5 2 0
0 2 2
0 2 3
4 4 2
1 5 2
1 2 1
2 4 5
5 3 5
3 4 1
2 1 3
10 7
3 1 4
5 5 2
0 1 3
3 0 0
1 2 5
0 0 5
3 1 0
4 0 2
1 4 0
5 2 1
10 3
0 2 2
2 2 3
0 2 3
4 2 3
2 4 4
2 4 2
0 2 4
1 1 1
1 2 4
1 3 2
10 4
1 1 4
0 1 1
3 2 3
0 0 4
2 4 4
2 2 4
0 3 4
2 4 2
1 3 4
2 2 3
10 6
3 0 3
2 1 0
0 0 0
2 0 1
0 3 2
4 2 3
3 4 2
0 2 4
0 4 4
4 4 2
10 6
4 1 4
3 0 2
0 2 2
0 4 4
1 1 1
4 0 1
0 1 1
3 4 0
0 1 0
4 1 1
10 3
0 3 2
3 2 0
1 3 1
4 1 1
1 4 1
0 0 2
4 3 2
1 0 2
3 1 0
2 2 0
10 5
1 2 1
2 1 0
0 2 0
2 2 2
1 1 1
1 0 1
2 2 0
1 2 2
0 0 1
2 0 2
10 2
1 0 0
0 2 1
2 0 2
2 1 0
0 1 2
0 0 1
2 1 2
0 0 0
1 0 2
2 1 1
10 7
0 2 2
2 2 2
2 2 0
2 0 2
1 2 2
2 1 2
2 0 0
1 1 0
1 0 0
2 0 1
10 6
3 1 0
2 2 2
0 3 3
3 3 0
4 2 2
1 1 3
1 3 2
3 1 1
4 3 1
1 0 0
10 9
5 5 0
1 0 3
4 0 1
2 3 5
1 1 4
3 1 0
4 4 1
2 0 5
0 2 4
2 4 5
10 9
0 2 3
1 2 1
2 1 2
2 2 0
3 2 0
3 0 3
3 3 0
3 2 2
0 3 1
0 2 1
10 7
1 0 0
2 1 0
2 1 2
0 2 2
2 2 2
2 2 1
0 2 0
2 0 2
1 1 2
0 0 0
10 8
0 4 0
4 2 0
4 4 4
1 4 0
0 1 0
0 0 3
1 2 4
1 1 0
0 3 2
4 3 2
10 8
2 2 1
0 0 2
2 2 0
1 1 0
1 1 2
1 2 1
1 2 2
1 1 1
1 2 0
0 1 0
10 4
3 4 1
0 0 0
1 1 4
0 2 2
3 1 1
4 4 4
2 3 2
4 0 3
4 3 0
0 2 1
10 7
2 0 1
2 0 2
1 0 0
0 0 1
2 2 1
1 1 0
2 1 2
1 2 1
1 2 2
0 1 0
10 9
2 2 2
0 2 0
2 0 0
2 1 2
0 0 1
2 2 0
0 1 1
2 1 0
0 2 1
1 2 1
10 4
1 3 3
1 3 1
3 2 3
3 2 1
0 3 1
1 1 0
3 3 1
0 2 0
2 3 2
1 3 0
10 8
4 3 1
2 3 2
3 4 2
0 3 1
3 0 1
2 0 1
0 0 0
2 0 2
4 2 0
2 1 4
10 2
2 4 1
2 3 3
0 0 4
0 0 0
3 0 4
2 2 4
0 4 3
0 1 1
0 4 2
4 0 0
10 4
3 3 3
0 3 2
0 1 2
2 3 2
1 3 0
2 0 3
2 3 1
0 2 1
1 1 0
0 3 3
10 6
4 2 2
5 4 1
3 3 4
4 0 0
3 5 1
4 5 3
4 0 3
2 0 4
1 3 3
2 1 2
10 3
0 1 5
3 0 4
1 5 4
2 3 5
0 2 1
4 0 0
0 3 4
5 4 4
2 3 4
4 0 1
10 8
4 0 0
4 2 0
2 3 2
0 0 0
0 3 0
4 0 1
1 1 0
0 2 2
3 4 3
1 2 3
10 6
2 0 1
2 1 2
0 1 1
2 0 2
2 2 1
2 2 2
0 1 0
1 2 2
1 0 1
1 1 0
10 9
2 0 2
0 2 0
2 1 0
2 2 2
1 0 2
0 1 2
1 1 1
1 1 0
2 1 1
0 1 0
10 8
0 4 4
3 0 1
0 0 2
4 3 2
1 4 3
0 3 1
1 0 3
1 2 0
1 3 1
3 0 2
10 9
1 3 1
0 2 2
2 1 1
3 2 1
0 0 2
1 3 3
2 3 2
1 0 0
1 0 1
1 3 2
10 7
5 2 2
5 0 3
0 4 2
5 5 2
0 4 3
3 4 5
3 1 5
4 0 4
1 5 4
1 0 2
10 5
3 1 1
2 3 3
2 0 2
3 3 0
1 0 1
3 0 1
3 0 2
3 1 2
0 1 1
0 2 1
10 3
0 2 0
2 2 1
1 1 1
0 1 0
0 0 1
0 0 2
2 1 0
0 0 0
0 1 1
1 2 0
10 2
3 0 2
3 4 1
0 2 3
5 5 2
4 2 4
4 5 0
5 2 1
5 0 1
2 4 5
2 3 2
10 9
0 0 1
2 2 0
1 0 2
0 0 2
1 1 0
0 1 0
2 0 0
1 0 1
0 2 2
1 2 0
10 7
1 0 1
2 0 2
0 0 1
2 0 1
0 1 1
2 2 2
0 2 0
1 2 0
2 1 1
2 2 0
10 8
4 4 3
2 2 3
0 3 3
3 2 1
0 0 0
4 2 3
1 0 3
2 0 3
2 4 3
4 2 4
10 7
4 2 4
0 2 4
2 2 2
1 0 4
1 5 5
1 5 0
1 1 2
2 0 4
3 1 3
4 4 3
10 2
1 4 4
0 1 4
4 4 1
1 4 3
1 0 2
4 0 2
1 3 2
3 4 1
3 4 3
2 1 4
10 4
1 1 3
0 0 2
3 1 3
1 3 1
0 1 1
3 2 0
1 0 1
3 3 0
2 3 3
3 2 1
10 2
2 1 1
1 2 0
0 2 1
2 2 0
1 1 2
0 0 1
2 2 2
2 1 2
2 0 2
0 1 2
10 6
3 0 0
2 1 2
3 0 2
0 3 3
0 2 0
3 0 3
0 0 3
3 0 1
0 2 3
2 2 2
10 9
2 2 3
3 3 1
1 2 3
3 2 1
0 3 2
2 0 2
1 0 0
2 0 3
2 1 3
3 3 3
10 3
0 4 3
0 1 3
0 1 1
0 3 1
2 2 3
3 4 2
1 2 1
4 0 1
3 3 0
0 0 0
10 5
2 0 1
1 2 1
0 1 0
2 2 1
0 2 2
2 2 2
1 2 2
1 0 2
0 1 2
1 0 1
10 3
0 5 2
1 4 5
5 4 4
2 0 2
5 1 0
0 2 4
4 5 1
0 3 3
2 0 4
0 0 5
10 5
3 3 3
3 0 1
0 0 1
3 2 3
1 3 1
3 0 3
0 0 3
0 1 0
3 2 2
2 0 0
10 8
1 1 2
2 1 2
0 0 1
2 0 0
1 0 2
1 0 0
2 0 1
0 0 0
0 1 0
0 1 1
10 3
1 0 5
1 5 0
0 1 4
5 4 4
2 5 1
3 0 5
2 1 3
5 2 3
2 0 3
1 4 3
10 6
3 3 4
0 0 1
3 1 3
1 2 1
2 4 4
0 4 4
1 3 4
1 4 1
0 3 3
1 2 0
10 6
1 2 0
1 5 0
1 3 5
3 2 5
3 1 3
2 5 3
4 1 2
3 0 5
2 1 1
5 4 1
10 5
1 1 3
1 2 3
0 3 3
2 2 0
0 3 1
0 2 1
2 1 1
1 2 0
0 1 3
0 2 3
10 5
2 1 4
1 2 4
2 0 0
3 4 1
0 0 4
1 2 2
2 0 1
1 0 2
3 3 1
0 2 2
10 6
2 0 1
1 0 1
3 2 3
2 0 2
0 3 1
1 1 1
1 1 0
0 2 3
3 2 0
1 2 1
10 7
0 0 2
2 1 1
3 1 2
2 3 3
2 0 2
3 1 3
1 3 1
3 2 0
0 3 2
3 2 2
10 7
1 1 0
2 0 2
1 0 1
0 1 2
2 1 1
2 2 0
0 0 0
1 0 2
0 0 1
2 1 2
10 9
2 1 0
0 0 0
0 1 1
1 0 2
1 1 2
1 2 2
1 2 1
0 0 1
0 0 2
2 0 2
10 2
3 0 1
0 0 0
1 2 2
3 0 0
3 1 3
3 2 2
3 2 1
1 3 0
3 3 3
2 3 0
10 4
3 0 0
0 4 1
1 1 0
0 1 1
0 2 1
3 2 3
4 1 4
1 2 4
1 1 3
3 4 1
10 8
2 0 0
1 0 1
0 2 0
2 1 1
2 2 2
0 1 0
0 0 2
0 2 2
1 1 0
1 1 1
10 9
2 0 3
4 2 4
0 4 0
2 4 0
4 3 4
3 3 3
2 2 3
2 2 1
1 1 2
3 1 1
10 7
4 2 1
1 0 1
4 1 0
1 2 1
0 0 2
2 3 4
3 4 1
0 2 1
1 0 0
4 4 4
10 8
2 0 1
2 1 2
4 0 4
2 0 3
0 4 2
2 4 3
1 2 0
1 2 3
2 0 4
1 3 0
10 4
0 0 2
1 5 5
0 2 5
1 0 5
0 0 0
2 1 4
2 5 5
2 0 1
2 4 1
1 2 1
10 2
1 4 0
3 0 0
0 3 0
4 4 0
4 2 2
1 3 2
0 1 0
2 3 0
3 2 4
1 0 2
10 5
0 2 1
3 2 0
0 2 0
0 3 1
0 1 2
1 0 0
1 2 1
3 0 2
0 3 2
2 0 3
10 8
4 0 2
3 1 2
1 0 1
1 0 0
2 4 0
3 0 2
1 4 4
2 1 2
4 3 0
4 0 0
10 4
1 1 0
0 4 2
2 3 0
0 2 1
1 3 4
0 1 1
1 0 2
4 4 1
4 1 1
0 2 4
10 2
3 1 2
1 0 3
0 1 1
1 2 0
3 2 0
2 3 2
1 2 1
1 1 3
1 3 0
0 1 3
10 8
4 3 1
3 2 3
2 3 4
2 3 2
2 3 0
3 1 3
4 3 0
4 2 3
1 4 0
2 0 1
10 3
0 3 2
1 2 4
4 4 0
4 2 2
0 2 1
3 4 1
4 2 3
1 0 3
1 3 2
1 0 2
10 4
1 0 0
2 0 0
0 0 2
1 1 2
1 0 2
2 2 1
0 0 0
1 0 1
0 2 1
0 1 2
10 8
2 0 3
2 5 5
0 0 5
0 4 0
2 1 5
4 2 4
5 2 4
2 2 1
2 4 3
1 1 1
10 8
1 1 2
0 2 0
2 2 2
0 1 0
0 0 0
1 2 1
1 0 1
0 2 2
2 0 2
0 1 2
10 2
2 1 2
3 1 0
3 2 0
2 1 3
3 0 1
0 2 3
3 3 2
3 1 1
2 2 1
1 0 2
10 9
0 3 2
2 0 4
5 2 3
3 1 1
4 4 1
0 1 4
4 0 0
1 3 2
1 5 1
1 1 1
10 5
0 0 2
1 2 0
2 0 0
1 0 1
2 1 1
0 2 2
0 0 1
0 1 2
0 1 1
1 0 2
10 3
1 0 2
1 0 1
1 2 0
1 1 1
2 2 1
0 2 1
1 1 0
2 2 0
2 1 1
1 2 1
10 8
4 3 1
4 3 3
1 3 4
2 3 0
1 1 4
4 0 0
4 0 2
4 4 4
3 3 0
0 2 3
10 2
1 4 0
2 0 0
3 1 0
1 0 3
2 1 2
3 1 2
3 1 3
1 1 1
3 2 3
4 4 3
10 4
1 0 3
1 1 0
3 2 2
3 3 2
2 2 0
2 3 1
2 2 1
3 1 0
2 2 3
1 2 2
10 9
2 2 1
1 2 2
2 0 2
0 1 1
1 1 2
1 0 0
0 2 0
2 2 2
1 0 1
1 1 0
10 2
3 3 0
2 0 2
3 2 5
5 2 0
5 2 5
1 3 0
4 1 5
1 1 4
2 1 2
3 4 4
10 4
2 3 4
3 4 1
4 4 4
1 1 2
3 3 4
0 0 4
0 4 4
1 4 4
1 2 4
4 4 2
10 2
2 0 2
2 2 1
0 1 1
0 2 1
0 1 2
1 2 0
0 2 0
1 0 2
2 2 0
2 1 2
10 2
0 0 1
3 2 5
3 0 5
0 4 1
1 3 3
1 4 5
4 5 5
0 4 3
5 2 3
2 4 1
10 6
1 0 0
2 2 0
3 3 1
2 3 2
1 4 4
3 1 4
1 1 0
2 2 4
3 1 0
2 3 3
10 2
4 1 4
0 1 2
1 0 4
4 3 1
2 2 3
4 4 1
0 0 3
3 4 3
0 4 0
3 2 2
10 4
1 2 2
4 2 1
4 0 0
2 1 2
4 4 0
0 4 0
1 4 4
3 2 0
2 0 4
2 2 0
10 2
2 2 2
2 1 4
4 3 2
1 4 4
4 2 2
0 0 4
0 3 1
3 4 2
3 1 3
2 3 4
10 8
5 3 4
1 4 2
3 3 1
5 1 5
0 1 4
5 3 1
4 1 0
0 1 2
1 4 1
3 4 3
10 4
0 0 4
4 1 2
2 3 3
2 0 5
1 4 1
3 0 2
3 0 0
0 1 0
4 0 4
4 2 3
10 9
4 3 3
0 4 2
2 1 3
0 0 4
2 3 3
0 2 3
3 4 4
2 2 3
4 1 3
2 2 4
10 2
2 0 1
2 2 2
2 0 0
3 2 1
1 3 1
3 1 2
1 0 1
0 1 4
3 0 0
1 1 1
10 9
0 2 0
0 0 0
1 1 0
2 0 2
1 1 2
2 2 0
1 2 2
2 1 1
2 2 1
2 1 0
10 6
0 1 1
0 2 0
2 3 2
2 1 0
0 1 3
3 1 2
0 1 0
0 3 3
1 3 2
0 1 2
10 2
0 4 5
5 4 3
4 5 0
0 1 0
5 0 5
3 1 1
3 0 4
1 1 2
1 4 4
4 0 0
10 8
1 2 2
2 4 4
4 3 1
2 1 4
2 0 4
3 0 2
4 0 3
4 1 1
2 2 3
3 1 3
10 2
1 1 0
0 1 0
2 2 1
0 0 0
2 1 2
0 1 2
2 1 1
1 0 2
0 1 1
0 2 1
10 4
1 3 2
2 2 2
0 1 2
0 2 1
2 0 2
3 0 2
2 0 3
3 2 2
1 3 1
3 0 0
10 4
2 0 2
1 1 2
1 2 1
1 0 1
0 1 0
2 0 0
0 1 1
0 0 1
0 0 0
1 1 1
10 2
2 0 1
0 1 1
1 2 2
2 2 2
2 2 0
0 2 2
0 1 2
2 2 1
0 1 0
2 1 1
10 5
1 2 1
3 1 2
1 0 2
2 2 3
3 3 3
1 3 1
0 1 3
1 2 3
3 3 0
0 1 0
10 8
2 0 0
0 0 0
1 0 0
0 1 2
0 2 0
0 1 0
0 1 1
1 2 2
2 0 2
0 2 1
10 4
1 0 1
1 1 2
2 0 0
2 1 2
1 1 1
2 2 2
1 2 0
1 1 0
1 0 0
0 2 1
10 6
0 2 1
2 2 0
2 1 0
0 1 2
2 2 1
1 0 1
2 0 2
1 1 1
0 0 2
0 2 2
10 9
1 4 3
0 3 3
0 4 0
2 4 2
0 2 1
4 1 3
1 3 0
2 1 3
1 4 4
1 1 2
10 7
1 0 3
0 3 2
2 2 1
0 2 1
2 2 0
0 1 2
3 2 1
2 1 3
1 2 1
0 3 0
10 9
0 2 2
1 5 4
5 4 5
5 0 1
2 0 4
5 0 2
0 3 4
0 1 1
1 0 0
0 0 2
10 7
4 1 3
0 1 1
3 3 4
3 1 2
2 4 3
0 2 4
0 2 1
4 3 1
2 3 1
0 4 1
10 8
1 2 2
2 3 2
2 1 0
2 2 3
1 0 0
0 0 2
2 0 1
0 1 2
2 0 0
1 0 1
10 7
0 3 1
0 3 0
2 4 3
4 4 2
4 1 1
1 1 4
2 2 0
3 3 4
2 3 2
4 1 0
10 6
5 1 4
4 0 4
1 2 0
1 3 2
3 0 5
2 1 0
2 4 3
5 1 1
3 2 2
3 0 3
10 3
1 2 5
2 4 1
2 3 4
3 5 2
5 5 2
4 5 0
3 5 0
5 2 0
0 5 2
0 4 1
10 2
1 0 0
2 1 1
0 2 1
1 1 1
1 0 1
1 2 1
0 1 1
1 2 2
1 2 0
0 0 0
10 2
0 1 0
0 0 2
2 1 2
1 0 0
0 1 1
0 0 1
2 0 0
1 2 0
1 1 0
1 2 1
10 7
2 1 3
2 1 0
0 1 1
1 0 1
2 2 1
1 0 0
3 0 3
1 3 2
1 2 0
1 2 2
10 4
3 4 2
0 3 3
3 3 2
0 1 4
1 0 1
3 0 3
2 4 1
0 3 1
0 0 2
0 2 1
10 7
1 3 3
4 1 1
2 0 0
3 1 1
1 3 0
4 2 2
3 2 2
4 2 1
0 4 0
2 1 2
10 9
0 0 2
0 1 3
2 0 2
0 3 3
1 1 1
0 0 1
0 1 0
2 3 0
1 0 0
1 2 3
10 4
2 0 1
3 1 3
0 1 3
0 3 0
2 1 0
3 1 0
0 2 3
1 3 2
1 3 0
3 0 0
10 9
2 1 3
0 1 0
0 0 0
1 3 2
1 0 0
0 1 2
3 1 0
3 3 1
1 2 0
0 0 2
10 2
1 2 0
0 0 2
0 1 3
3 3 1
2 0 0
0 1 1
3 3 0
2 1 0
3 1 0
0 2 2
10 8
0 2 0
2 0 0
1 2 0
1 0 1
0 1 2
1 0 0
2 2 0
1 2 2
0 0 1
0 2 2
10 9
0 1 0
1 1 2
0 1 1
0 0 1
0 2 1
1 0 2
2 1 0
1 0 1
2 0 0
2 1 2
10 9
0 3 3
3 3 1
2 3 0
1 0 3
0 2 3
0 1 3
2 1 2
1 0 1
0 1 1
1 2 0
10 8
1 1 2
0 0 0
2 2 0
0 1 2
0 1 0
1 2 0
2 1 0
0 0 1
2 2 2
2 1 1
10 9
0 0 2
1 1 2
2 2 0
1 2 0
0 0 1
2 0 0
2 1 2
2 0 2
0 1 2
2 2 2
10 7
0 0 0
2 2 4
2 1 5
2 5 1
5 1 0
0 1 4
2 2 1
0 0 4
4 3 4
4 1 4
10 4
0 1 0
1 0 2
0 0 2
2 2 1
0 2 2
1 2 0
0 0 1
1 0 1
0 1 1
2 2 0
10 5
3 2 3
1 1 1
1 4 3
2 1 0
0 3 1
2 3 0
4 4 4
3 1 3
4 1 2
4 2 2
10 5
0 1 1
1 2 0
1 2 1
4 0 4
1 0 0
4 3 1
3 4 4
4 4 4
0 3 1
3 1 0
10 9
1 3 4
2 0 2
2 2 3
3 4 1
2 0 4
1 2 3
0 2 0
0 2 1
4 0 0
4 3 0
10 8
4 0 0
0 4 0
0 0 4
4 1 3
2 1 4
4 3 2
3 2 2
1 2 4
1 0 3
4 4 0
10 3
1 1 1
2 2 2
1 2 0
2 1 0
1 2 2
0 2 1
0 0 0
0 1 1
2 2 0
2 0 1
10 9
0 0 2
1 2 0
2 2 2
0 3 0
2 3 2
0 3 3
2 1 2
1 2 3
0 2 0
0 1 1
10 4
2 0 2
2 1 0
0 0 0
2 0 1
0 2 1
2 2 2
1 1 2
1 0 2
1 2 0
2 2 1
10 5
2 1 1
0 2 2
0 0 2
1 1 2
0 0 1
2 0 0
0 2 0
1 1 1
0 1 2
2 2 0
10 4
1 3 1
2 2 2
3 3 2
1 0 3
0 2 3
1 2 0
1 3 2
2 3 0
0 1 1
0 0 3
10 8
2 0 2
0 2 0
1 0 1
0 1 1
0 1 2
0 0 2
3 0 3
1 3 1
1 3 2
0 0 3
10 8
3 3 4
1 0 4
1 1 2
1 4 1
5 3 5
0 5 2
1 0 1
3 3 0
2 5 2
0 3 1
10 4
0 1 1
0 2 1
2 0 2
1 2 1
2 0 0
0 0 0
1 2 2
1 2 0
2 1 2
0 2 2
10 3
1 4 0
0 2 1
5 2 0
0 3 5
2 0 0
4 1 0
1 5 2
1 1 5
2 3 0
1 3 5
10 9
2 2 2
1 1 1
1 2 1
0 0 2
0 0 1
1 0 1
0 1 2
1 0 0
1 0 2
0 2 0
10 2
3 3 2
2 3 0
4 2 1
2 1 5
1 4 1
1 3 4
0 4 4
4 1 1
5 3 1
2 2 1
10 9
3 1 0
0 2 0
0 2 2
1 1 2
2 1 0
1 3 1
0 3 1
1 3 3
1 2 1
2 2 0
10 7
2 1 3
0 3 0
0 0 0
0 3 3
2 2 0
0 3 2
2 3 2
0 2 2
1 1 2
0 2 0
10 8
4 1 1
0 4 3
2 3 0
0 4 1
3 2 0
0 0 4
1 4 1
3 2 4
3 0 3
3 0 1
10 2
0 0 3
4 2 0
1 1 3
0 1 2
0 0 1
1 1 1
1 2 2
0 2 4
3 0 1
0 3 0
10 6
2 0 0
1 1 1
2 1 2
0 0 1
0 2 0
2 1 1
2 2 1
2 2 0
0 1 0
2 0 1
10 5
3 3 1
0 2 1
3 0 1
1 1 0
2 3 1
1 2 0
0 3 0
0 3 2
0 2 3
2 1 2
10 3
0 1 2
1 2 1
0 2 1
2 3 3
2 0 2
1 0 0
0 1 1
3 2 3
2 2 0
2 1 3
10 8
1 0 2
2 2 2
2 0 0
2 2 1
1 1 0
1 0 1
2 1 1
0 2 2
1 2 0
0 0 1
10 3
2 5 4
3 1 5
2 3 2
2 4 0
4 1 0
4 2 1
5 3 2
2 2 5
2 5 1
0 4 5
10 6
1 4 4
3 1 3
4 2 1
4 3 1
4 1 4
2 0 4
3 0 2
3 0 0
1 0 2
0 2 1
10 7
4 2 4
4 2 2
4 3 0
3 4 4
4 2 0
2 1 1
4 1 2
1 2 1
3 1 0
0 4 1
10 8
1 3 2
0 3 3
1 1 4
0 2 0
4 0 2
2 3 1
2 0 0
0 3 4
0 0 2
1 4 2
10 8
1 0 2
2 2 1
1 1 1
2 0 0
0 2 1
2 2 2
1 2 2
1 0 1
1 1 2
0 0 0
10 6
3 2 3
0 4 5
4 4 4
0 4 4
3 5 5
5 0 5
2 1 0
0 3 2
0 2 1
3 2 0
10 8
1 2 0
2 2 1
0 2 2
1 1 0
0 0 2
2 1 1
0 1 2
1 1 1
0 1 0
1 1 2
10 5
1 0 0
0 1 1
0 2 0
0 0 0
0 1 2
1 1 1
0 1 0
2 1 0
1 0 1
2 0 1
10 8
2 2 2
0 1 1
0 0 2
0 0 0
1 0 1
1 1 1
0 2 1
1 1 2
1 0 0
2 1 2
10 2
5 5 0
4 2 1
3 3 0
4 2 0
2 2 0
2 4 4
1 5 3
2 0 1
5 1 5
0 4 2
10 6
2 2 1
0 1 2
1 1 1
2 1 2
2 1 0
2 2 2
1 0 2
1 1 2
1 2 1
0 0 2
10 4
1 2 0
1 1 0
0 0 2
2 2 1
0 2 0
0 2 2
2 0 2
2 0 0
2 1 1
0 1 1
10 4
0 2 0
3 4 4
4 4 3
4 1 0
0 3 2
2 1 0
2 2 1
4 2 0
3 1 4
2 4 2
10 4
3 5 1
3 0 2
1 2 4
5 2 2
5 4 4
4 0 2
5 3 5
5 1 2
0 5 1
4 3 4
10 2
1 4 4
5 3 2
4 1 4
5 0 3
2 3 3
5 3 4
5 1 0
4 4 1
5 5 0
3 1 2
10 8
0 2 1
2 2 3
2 3 3
2 0 2
2 0 0
0 1 3
1 2 1
0 0 1
2 1 2
1 2 0
10 4
1 3 1
4 3 0
3 2 2
3 3 0
0 4 2
1 0 4
2 1 4
2 0 3
0 4 3
2 3 4
10 2
2 0 2
2 2 0
2 2 2
1 1 0
0 1 1
2 1 0
1 0 0
1 1 2
0 2 2
1 0 1
10 9
2 1 1
2 1 2
0 2 1
2 0 0
1 0 1
1 0 2
2 0 1
2 1 0
1 0 0
2 2 2
10 4
0 2 1
2 1 2
3 1 1
3 3 5
4 5 0
2 2 0
0 4 4
3 2 4
2 1 3
1 4 4
10 6
0 1 0
2 2 1
1 0 1
2 0 0
1 1 2
0 2 0
0 0 2
2 1 2
1 0 0
2 2 2
10 7
1 2 1
0 2 1
3 4 3
4 2 1
3 0 3
3 3 1
3 4 0
3 0 2
4 2 4
4 3 0
10 6
3 4 3
4 0 5
5 0 4
4 1 3
1 2 2
4 5 1
2 5 4
0 3 5
2 3 1
1 1 0
10 9
1 4 2
5 2 1
0 5 0
1 3 2
2 2 0
4 2 1
4 2 0
0 3 1
0 0 4
3 4 2
10 3
1 1 0
2 2 0
0 1 2
2 1 0
2 2 3
3 2 3
3 1 1
3 0 3
0 0 0
3 0 0
10 3
1 0 0
0 0 0
2 1 2
0 0 1
1 1 2
2 0 1
0 0 2
1 1 1
2 0 0
0 1 0
10 9
4 2 3
1 2 1
2 2 2
3 0 4
0 1 3
3 3 0
4 0 2
1 2 0
2 4 4
4 3 0
10 6
3 5 0
3 0 2
1 4 1
5 5 1
1 1 4
5 0 4
2 3 3
2 3 1
0 3 1
0 2 5
10 7
5 1 2
5 0 0
2 0 4
2 4 4
1 1 0
2 3 4
5 2 0
5 3 1
1 5 1
2 0 3
10 6
2 2 1
0 0 2
1 1 0
0 1 0
1 2 1
1 1 2
1 2 0
0 1 2
0 0 1
0 0 0
10 2
1 2 2
1 2 1
2 0 3
2 3 3
1 1 0
1 2 0
3 0 1
0 2 0
1 1 2
2 1 0
10 7
4 2 1
0 3 4
1 1 3
2 4 2
3 4 3
2 3 0
4 2 0
0 0 0
4 3 2
2 4 3
10 2
1 2 0
3 0 2
2 3 3
1 2 3
1 3 3
3 3 0
0 3 1
0 3 3
0 2 0
1 0 1
10 5
2 3 2
3 1 2
2 1 3
3 2 3
2 0 0
3 1 3
2 1 0
0 3 0
1 2 0
0 0 1
10 8
1 3 3
2 1 0
0 1 3
3 2 3
1 3 1
1 1 0
3 3 2
0 1 2
2 1 3
1 0 2
10 4
4 2 2
3 2 2
0 1 3
0 1 1
4 2 1
1 0 4
2 2 0
1 2 2
2 3 0
0 2 3
10 6
0 2 2
2 0 1
1 2 1
0 0 0
2 2 2
2 1 1
2 0 0
0 2 1
1 1 1
0 1 2
10 2
0 2 1
2 2 0
2 0 1
2 1 2
2 0 2
1 0 0
0 1 1
1 2 1
2 2 1
1 1 2
10 6
1 0 0
0 2 2
1 1 2
2 1 0
1 1 0
2 2 0
2 0 0
2 2 1
0 2 1
2 1 1
10 3
2 2 0
2 2 2
2 0 0
1 2 0
1 0 2
0 2 0
0 1 1
2 2 1
0 1 0
1 1 2
10 4
2 1 3
2 2 3
1 1 2
1 2 0
3 3 2
2 0 0
1 1 3
1 1 1
2 2 2
3 0 3
10 6
1 2 3
0 0 4
0 2 0
2 4 1
2 0 4
1 3 2
4 1 2
1 1 3
3 1 4
0 0 2
10 8
4 1 2
0 0 4
3 3 3
3 3 0
3 2 0
4 1 1
1 4 2
0 2 1
1 0 3
0 0 0
10 4
1 0 4
0 0 0
3 5 5
5 1 3
3 2 0
3 5 1
0 0 1
5 4 1
3 2 3
2 3 0
10 3
5 4 4
4 5 0
0 5 2
0 0 0
5 0 3
2 3 3
1 2 1
4 2 5
4 2 0
1 0 3
10 8
0 1 1
3 3 0
4 2 2
5 0 0
0 4 3
4 1 2
1 0 4
4 1 0
3 4 5
4 4 4
10 9
2 2 0
0 1 1
1 1 1
2 0 0
3 0 0
2 0 2
2 1 0
3 1 0
3 0 1
1 2 3
10 7
0 3 3
2 5 4
0 3 5
2 2 2
5 0 3
2 3 3
4 2 5
5 1 4
4 1 0
2 4 2
10 4
2 1 2
2 0 0
1 0 1
0 0 2
1 1 0
0 1 1
2 1 1
1 0 0
0 2 2
0 0 0
10 4
0 3 3
0 1 1
3 3 3
2 3 2
3 2 1
2 0 1
0 2 0
3 1 2
0 0 2
3 1 3
10 9
2 2 2
2 0 0
0 2 2
1 2 1
1 0 0
0 0 1
0 2 1
2 2 0
0 0 0
1 2 2
10 6
3 2 1
3 1 1
1 1 2
2 2 3
1 2 0
1 3 2
1 3 1
3 3 0
2 0 3
2 0 1
10 6
1 3 1
0 0 1
3 1 0
1 3 3
1 2 3
2 2 0
2 1 0
0 2 1
3 0 0
2 3 3
10 2
3 0 2
1 0 0
1 2 1
0 1 2
2 1 3
2 3 0
2 0 2
2 0 1
0 1 1
2 3 2
10 7
5 1 1
2 0 5
4 2 1
5 5 4
1 2 2
0 5 2
4 0 5
3 4 0
5 3 4
4 1 0
10 9
3 0 4
0 3 3
3 0 1
1 4 2
1 1 1
1 4 4
4 4 1
3 3 0
1 3 0
1 2 1
10 9
2 0 0
2 1 0
0 2 0
1 0 0
2 1 2
1 1 1
2 2 0
0 0 2
0 1 2
2 0 2
10 4
3 4 2
2 2 3
0 2 0
0 1 0
2 4 0
2 0 4
3 0 3
1 0 4
2 3 1
2 0 2
10 4
3 3 5
0 5 4
3 4 5
4 0 4
1 5 0
2 5 3
1 1 3
3 2 1
1 2 0
4 5 0
10 5
1 0 1
2 0 2
1 2 2
2 0 1
2 2 1
2 2 0
2 1 2
0 2 1
1 0 0
0 1 1
10 6
0 2 2
1 0 4
3 3 0
1 2 2
1 3 2
3 2 1
4 0 0
3 3 2
3 3 4
1 3 4
10 6
1 4 4
5 1 3
5 1 1
1 3 4
3 5 0
5 4 4
0 4 2
5 4 2
5 3 1
0 2 2
10 4
3 2 3
2 1 2
3 0 1
1 0 1
0 0 1
0 0 3
0 3 2
3 3 1
2 3 3
2 2 1
10 4
3 0 4
2 1 2
0 0 3
0 2 3
1 4 2
2 3 0
2 3 4
4 4 1
1 4 4
0 4 2
10 3
0 0 1
0 1 0
2 1 1
2 0 1
2 2 2
1 1 1
1 0 1
0 1 2
1 0 2
2 1 2
10 9
3 2 1
2 1 2
1 1 0
0 2 2
4 0 4
1 5 1
0 0 0
0 3 3
4 0 2
4 5 0
10 3
3 4 1
2 2 3
0 5 3
1 3 3
1 2 4
5 5 2
3 3 5
1 0 1
5 5 1
5 3 0
10 7
3 5 0
0 4 1
0 3 5
2 4 5
5 5 0
5 5 2
1 3 1
1 0 4
1 3 4
3 2 0
10 7
3 5 5
1 3 3
2 3 2
3 0 1
2 1 5
0 1 5
4 0 1
5 1 3
1 4 5
4 5 4
10 5
1 0 1
2 0 1
0 0 2
2 0 0
0 2 2
1 2 0
1 1 1
1 0 2
1 1 0
2 1 2
10 7
2 0 0
2 1 2
2 1 0
2 2 0
0 2 1
1 1 2
0 2 0
1 0 0
2 0 2
0 0 1
10 3
1 3 1
1 2 2
1 1 2
0 1 3
2 0 1
3 1 2
1 3 0
0 0 3
3 1 1
0 3 0
10 2
0 2 1
2 0 2
1 4 1
2 1 4
0 1 1
2 2 4
1 0 2
1 4 0
2 0 1
4 1 1
10 8
0 0 0
0 1 0
1 3 2
0 0 3
2 0 3
3 3 2
3 2 3
2 1 0
1 0 3
3 0 1
10 3
2 2 5
0 0 2
1 1 0
4 5 2
4 2 2
4 5 3
1 4 2
2 5 4
3 5 0
0 5 0
10 9
1 2 1
3 5 1
1 5 4
5 0 1
1 0 2
1 5 5
1 3 5
4 1 0
0 5 3
4 5 3
10 9
2 1 3
0 0 0
3 3 2
2 2 0
2 0 1
1 3 3
1 2 1
0 1 3
3 1 2
1 2 3
10 2
1 2 1
2 0 2
0 0 1
1 2 0
3 0 3
1 0 0
3 3 0
0 2 3
0 3 1
0 1 2
10 2
0 1 0
2 3 0
3 4 1
3 2 3
2 0 3
0 2 3
4 4 4
0 2 0
1 0 3
3 1 3
10 6
2 1 2
1 3 1
1 0 2
3 0 2
2 2 0
3 2 0
3 3 2
2 3 1
2 3 0
0 0 3
10 7
4 2 2
5 3 1
1 1 2
5 1 2
3 3 0
3 2 0
2 2 0
3 2 2
3 0 2
1 2 2
10 4
2 0 1
0 2 1
1 1 2
0 2 2
1 0 2
1 1 0
2 1 2
1 2 2
1 0 0
2 1 0
10 3
1 0 3
3 2 3
2 1 3
1 1 0
0 1 3
3 3 1
0 1 2
1 0 1
2 0 0
2 1 0
10 6
3 0 3
2 2 3
1 1 1
1 3 3
1 2 0
2 1 2
0 3 1
3 3 1
1 2 3
2 1 0
10 9
2 2 0
0 1 1
2 0 2
1 1 0
0 1 0
1 1 1
2 1 2
2 1 1
0 2 0
2 0 1
10 9
4 4 1
5 1 1
2 4 3
3 0 2
0 5 0
2 0 1
5 0 2
3 5 4
5 3 3
0 3 3
10 7
3 5 1
0 0 1
4 3 3
2 5 2
3 2 5
0 4 2
1 2 0
2 0 0
3 0 3
4 5 4
10 7
1 1 0
2 1 1
2 2 2
0 2 0
2 1 0
0 1 0
1 2 2
0 0 1
2 2 0
2 1 2
10 3
4 3 1
2 0 5
1 3 3
0 2 1
4 3 5
1 1 1
2 3 2
5 0 4
0 1 4
3 4 1
10 9
0 3 3
3 1 2
1 3 0
1 2 3
1 2 2
0 1 3
3 1 1
1 3 3
0 1 1
0 3 2
10 8
4 0 4
2 4 3
4 4 3
2 2 4
3 4 2
0 4 3
0 0 4
4 0 1
2 0 2
3 1 0
10 8
2 1 0
1 1 0
2 2 1
2 2 2
2 1 2
1 0 2
2 1 1
1 0 1
2 0 2
0 2 0
10 2
2 4 0
4 0 4
2 0 4
1 2 0
0 1 3
4 2 3
3 2 3
1 1 3
4 3 0
1 0 3
10 2
2 0 0
1 1 3
0 0 2
1 3 0
2 2 2
2 3 1
1 1 1
2 2 3
3 3 3
0 0 0
10 9
0 0 4
2 3 4
3 3 4
1 1 1
3 2 2
4 0 4
0 3 4
4 0 1
1 1 4
2 2 2
10 9
1 2 2
2 1 0
2 0 1
1 0 2
0 1 1
1 1 0
1 0 1
0 0 2
0 0 0
1 1 1
10 3
2 1 2
2 0 0
0 1 2
1 0 0
0 0 1
1 0 1
2 1 1
1 1 1
1 0 2
0 2 0
10 3
2 0 1
1 4 5
4 4 5
2 2 0
1 1 5
5 2 4
2 4 1
4 3 4
1 4 1
4 2 3
10 9
0 0 1
2 3 0
0 3 2
3 2 2
1 1 1
2 3 1
3 0 2
0 2 2
2 2 3
2 0 0
10 4
3 0 0
1 2 2
0 3 1
0 3 3
3 1 2
3 3 1
2 2 0
2 3 0
1 2 3
2 1 2
10 9
1 4 2
3 5 0
5 2 5
0 0 0
1 0 5
2 5 2
5 4 2
3 3 4
3 0 3
3 1 2
10 4
3 0 3
0 4 1
4 2 4
2 3 1
2 4 4
3 4 0
4 4 0
3 4 4
3 3 2
2 2 4
10 9
1 1 4
1 1 1
2 4 0
2 1 1
1 4 3
1 3 3
4 2 3
0 1 3
4 4 0
3 2 1
10 8
3 1 4
4 0 1
2 4 3
3 1 0
0 5 4
5 1 1
2 5 4
4 5 2
2 0 1
2 0 0
10 5
4 1 1
0 1 0
4 2 1
1 0 4
1 1 2
3 0 3
4 0 2
1 3 3
3 3 3
3 2 4
10 3
0 4 1
2 1 5
4 2 3
1 5 2
0 0 0
2 2 1
4 2 2
2 1 4
1 1 0
5 1 4
10 4
2 0 3
3 0 3
3 2 2
2 3 2
0 0 0
3 3 2
3 2 1
3 1 2
1 2 2
0 1 2
10 8
4 0 2
4 1 1
2 4 1
0 0 1
4 1 4
4 4 0
3 2 1
2 4 0
1 3 0
2 3 0
10 2
0 1 1
2 0 4
5 0 3
0 4 1
3 5 3
3 1 2
2 3 0
4 1 2
1 1 4
5 2 1
10 7
0 5 2
5 1 4
5 3 3
3 2 0
4 5 5
4 4 3
0 3 4
2 4 3
2 5 1
1 1 1
10 4
0 2 1
4 1 2
4 4 2
0 1 0
1 0 4
0 4 0
0 4 2
4 1 4
1 1 4
3 3 2
10 9
4 2 0
0 4 1
5 3 5
2 4 0
2 3 4
4 3 3
5 1 2
5 5 0
4 1 5
3 3 2
10 8
2 1 2
0 3 0
1 1 0
1 1 2
3 3 3
2 0 0
0 1 0
3 0 3
1 3 2
3 2 1
10 6
2 4 3
3 0 4
3 2 5
5 2 0
0 3 1
4 2 5
1 3 2
5 5 3
5 4 2
4 3 1
10 9
1 2 2
1 2 3
0 3 0
1 0 1
1 3 0
1 3 1
2 3 3
1 2 1
3 0 3
2 2 1
10 4
2 4 3
4 3 5
4 5 1
0 4 0
4 4 4
5 2 3
1 3 1
2 5 0
3 0 3
0 2 1
10 5
5 2 5
3 4 1
2 0 5
0 1 4
5 4 1
3 3 4
2 0 1
5 3 0
2 5 3
5 4 5
10 3
1 1 2
2 1 4
4 0 1
1 1 4
0 3 2
4 4 1
1 2 3
0 2 4
0 1 2
3 0 4
10 8
0 1 0
1 2 2
3 1 1
2 0 0
1 2 3
3 0 1
1 0 1
0 0 3
1 1 1
3 1 3
10 3
3 3 2
0 2 2
4 4 3
0 4 1
3 0 1
0 1 1
5 3 0
3 5 2
2 0 1
5 4 2
10 3
2 3 3
0 1 1
2 2 1
0 3 1
1 1 0
2 0 1
0 2 3
3 3 0
0 3 0
3 3 3
10 8
0 2 0
1 0 3
1 0 0
1 1 2
0 0 2
0 3 0
0 1 1
3 0 2
2 2 3
3 1 0
10 3
1 2 2
1 2 1
0 1 2
1 0 0
0 1 1
2 0 2
0 0 1
1 2 0
2 2 2
0 1 0
10 9
4 3 5
1 2 3
0 0 1
0 2 4
1 4 3
1 1 3
3 0 1
5 4 5
3 0 0
5 4 2
10 3
3 0 0
0 0 2
3 3 0
3 0 3
2 0 0
3 3 3
3 1 0
3 2 2
3 2 0
3 1 1
10 8
3 0 3
3 3 2
1 3 0
0 2 1
2 1 1
0 3 2
0 2 3
3 3 1
2 3 3
3 2 0
10 4
1 0 0
0 2 1
2 2 0
1 2 2
1 2 1
2 0 2
2 2 2
0 1 0
2 2 1
1 0 2
10 5
3 3 3
1 3 2
3 3 1
1 2 0
0 0 0
2 1 3
2 0 2
1 2 2
3 0 3
1 3 3
10 5
3 5 1
2 4 1
3 5 0
5 1 1
1 2 0
5 0 2
4 0 4
1 5 5
3 0 1
1 2 4
10 9
4 2 1
1 1 0
2 4 3
3 3 2
3 0 1
4 4 2
4 3 2
4 4 3
0 3 1
1 4 1
10 3
1 2 1
0 1 2
0 0 0
2 2 0
0 2 1
0 1 0
2 2 2
2 0 2
2 1 1
1 2 2
10 4
2 0 0
2 2 3
0 3 1
0 1 1
2 2 2
1 2 3
3 3 3
3 1 0
2 2 1
0 1 2
10 7
0 1 2
2 2 2
1 2 2
0 2 1
2 1 1
1 1 2
0 0 1
2 0 2
2 2 1
0 1 0
10 4
1 0 2
3 1 1
4 3 4
4 0 1
3 2 1
1 1 1
2 2 2
2 4 2
4 2 1
2 1 0
10 9
0 0 1
1 2 3
3 3 3
0 3 3
1 2 1
2 3 2
2 2 2
2 0 2
2 3 3
1 3 2
10 4
1 2 1
2 1 1
1 0 0
0 1 2
0 2 1
2 1 0
2 0 2
1 2 0
1 1 1
0 0 2
10 5
3 2 1
2 1 2
1 4 0
4 0 1
3 3 3
0 0 3
0 1 0
4 3 2
2 2 3
0 1 2
10 3
0 3 1
0 3 2
2 1 1
3 3 1
3 1 0
3 0 0
0 2 3
2 3 0
1 2 2
1 0 3
10 9
2 2 2
0 0 0
1 3 2
1 2 2
3 1 3
0 2 0
3 2 3
2 2 1
2 1 2
3 0 0
10 7
3 2 0
4 0 0
3 2 1
2 4 4
2 1 1
2 0 2
1 0 3
2 1 4
3 4 2
2 2 4
10 3
2 2 2
0 2 3
0 2 1
1 0 2
3 1 3
1 1 2
3 1 1
2 1 0
2 3 2
1 2 3
10 9
0 0 1
1 1 2
2 0 1
1 0 2
2 0 2
2 1 0
0 2 1
1 1 1
2 2 1
1 2 2
10 5
4 3 1
2 4 2
4 3 3
0 0 2
2 4 1
2 3 2
1 2 0
3 4 0
4 1 0
1 0 2
10 7
3 0 2
1 0 1
3 0 4
1 1 1
3 0 1
3 1 2
4 2 4
3 2 0
4 0 3
1 3 2
10 2
0 3 2
0 3 1
2 0 0
0 0 2
1 1 3
3 3 3
1 0 1
1 2 0
3 0 1
2 3 1
10 9
4 4 3
3 1 1
2 2 1
1 2 3
0 0 4
1 1 2
0 3 3
1 1 4
3 1 3
3 1 2
10 6
1 1 3
1 1 1
1 2 2
1 0 0
1 2 3
1 3 3
3 1 3
3 0 0
0 2 2
3 3 1
10 6
0 0 0
0 2 0
1 0 2
2 2 0
2 0 2
2 2 2
2 1 1
0 1 0
1 1 0
0 0 2
10 5
2 2 1
2 4 1
0 1 5
5 2 0
5 3 3
1 4 1
5 1 3
2 1 4
3 2 4
4 5 0
10 8
1 0 2
1 3 0
0 0 1
2 1 0
0 3 1
1 3 3
0 2 2
0 1 2
0 0 0
2 2 1
10 3
0 2 1
0 2 2
2 2 1
2 2 2
0 0 0
2 1 0
2 0 0
1 2 1
2 1 2
1 0 2
10 7
2 0 0
1 2 1
0 1 2
1 2 2
2 0 2
0 1 1
1 1 0
2 2 2
0 0 1
2 0 1
10 7
1 0 3
1 3 3
1 1 3
2 1 2
2 2 0
1 2 3
3 0 1
2 2 2
3 3 1
0 2 2
10 5
0 1 0
1 1 2
2 0 0
0 2 2
0 0 1
0 0 0
0 0 2
2 1 0
1 1 0
1 2 2
10 6
0 0 1
1 1 1
0 2 2
1 1 0
0 0 2
0 0 0
2 0 0
2 0 2
1 1 2
1 2 0
10 4
0 2 0
2 1 0
0 0 1
0 0 2
1 2 1
2 1 2
1 0 1
1 2 2
0 1 2
2 0 2
10 9
3 4 2
1 4 4
3 2 3
4 3 2
2 3 0
2 2 5
4 5 2
4 3 3
1 5 1
1 5 0
10 3
4 4 4
0 3 4
1 0 2
3 0 0
0 2 1
0 1 1
4 1 3
2 0 4
2 3 4
0 0 4
10 6
0 0 2
0 1 3
1 1 3
0 0 1
2 3 0
3 1 3
0 2 0
0 2 2
4 4 1
3 0 3
10 4
0 0 2
2 2 2
3 1 0
0 3 3
1 0 1
3 1 1
2 1 0
2 0 1
3 0 2
1 0 2
10 4
0 4 3
2 2 5
2 0 0
5 0 5
2 1 3
0 1 5
4 5 5
3 0 0
3 5 5
3 0 1
10 5
0 1 1
0 0 0
1 0 0
0 0 1
1 2 2
0 2 2
2 1 1
1 1 1
1 1 0
2 0 0
10 6
2 1 2
3 1 0
2 0 1
2 1 3
3 3 0
2 0 3
1 1 3
0 3 2
1 2 0
2 0 2
10 9
2 1 0
2 3 2
1 2 3
1 2 1
0 0 2
3 2 1
1 1 0
3 3 0
0 3 1
3 1 2
10 9
2 0 2
2 0 1
1 0 0
2 1 1
2 1 0
0 0 2
0 1 2
1 1 2
0 2 0
1 1 1
10 2
0 1 0
0 1 1
2 1 0
1 0 0
1 0 1
1 1 0
2 0 0
0 2 0
0 2 2
2 1 2
10 9
3 1 2
3 3 3
1 0 3
0 4 1
2 0 1
3 4 3
1 3 0
2 4 4
0 3 2
2 0 4
10 2
0 2 2
1 0 1
1 1 1
0 0 2
0 2 0
0 1 2
0 1 0
2 1 1
2 0 2
1 0 0
10 3
2 3 3
2 3 0
2 2 1
0 0 2
2 3 1
0 2 2
0 0 3
2 1 3
1 1 1
0 2 1
10 8
2 1 2
2 3 0
3 1 2
3 0 0
1 0 2
3 3 4
0 4 2
0 0 2
1 2 2
1 1 2
10 9
4 0 1
2 3 4
5 4 5
4 3 0
0 2 2
3 1 5
1 2 0
3 5 0
4 4 4
3 0 5
10 2
3 2 4
0 5 0
4 4 1
0 4 3
0 5 1
5 2 4
0 2 1
3 5 1
4 2 3
5 1 3
10 9
1 1 2
1 2 3
0 0 0
1 3 1
3 3 1
0 3 0
0 3 2
3 0 2
1 0 0
3 0 3
10 4
4 0 0
4 1 0
4 0 4
1 4 0
4 2 4
4 1 3
0 0 1
2 2 2
0 3 2
3 1 2
10 7
4 4 2
4 0 4
0 4 0
1 3 1
3 1 0
2 1 1
0 1 0
1 0 4
3 4 2
0 1 3
10 3
1 2 1
3 3 3
0 0 3
3 0 0
1 2 0
1 1 3
2 2 2
0 0 0
0 2 1
3 1 3
10 8
1 3 1
5 2 2
4 2 2
1 2 4
0 0 5
4 5 3
0 3 5
1 1 5
3 3 3
5 0 2
10 8
0 0 0
1 0 0
0 0 1
2 2 2
1 1 0
2 2 1
1 2 2
1 0 2
0 0 2
1 2 0
10 4
0 1 0
1 2 0
3 1 2
3 1 3
3 2 3
0 2 2
2 1 0
0 3 1
1 1 0
2 1 1
10 7
2 3 0
2 2 0
0 3 0
3 2 1
3 3 2
1 1 2
2 1 0
0 2 2
1 2 1
1 1 3
10 2
1 3 5
1 5 4
2 5 3
2 5 0
2 5 1
4 2 3
5 2 2
4 5 4
3 2 4
0 2 1
10 4
0 2 3
2 1 1
3 3 3
1 1 2
2 3 3
1 0 3
0 2 1
1 3 1
2 2 3
0 1 3
10 6
5 1 3
5 0 5
0 4 5
0 1 5
0 4 1
2 1 0
2 2 5
4 5 3
4 2 4
4 4 0
10 9
1 0 0
3 2 2
1 2 2
1 0 1
2 0 3
0 1 1
3 2 0
0 2 3
0 2 2
0 0 1
10 9
5 2 5
5 4 0
4 1 5
5 0 2
5 3 5
5 1 1
4 1 4
3 5 1
5 2 3
0 5 4
10 8
2 0 1
1 1 2
0 2 2
1 0 1
0 0 2
0 0 1
2 1 0
0 1 1
2 0 2
2 0 0
10 7
1 0 3
3 4 0
2 2 2
2 3 0
0 2 3
2 1 3
4 0 1
0 2 4
3 2 2
1 2 1
10 6
2 4 0
1 2 3
1 0 0
1 3 2
1 2 2
2 2 4
0 1 2
2 1 2
4 4 2
0 2 2
10 6
2 0 0
1 2 1
2 1 0
0 2 0
0 0 2
1 2 0
2 1 2
0 2 1
1 0 1
0 0 1
10 2
3 2 4
2 2 1
4 0 3
4 1 0
0 3 2
3 1 0
2 3 0
0 2 4
1 1 4
1 0 2
10 2
2 0 2
0 1 0
1 2 2
2 2 2
0 0 2
1 2 0
0 2 2
1 2 1
2 1 0
2 2 1
10 3
0 5 2
2 5 1
2 5 5
3 5 2
0 1 5
1 3 5
3 5 1
4 4 1
2 0 3
2 0 0
10 2
1 1 0
2 2 0
1 2 2
0 1 0
2 0 0
1 2 1
0 1 2
0 2 1
0 0 0
1 1 2
10 8
2 2 3
1 2 0
3 0 2
2 3 2
2 3 1
1 1 2
3 3 0
0 0 1
1 2 1
0 3 0
10 4
0 4 2
0 1 3
4 3 1
3 3 1
1 2 4
3 3 0
0 1 1
3 0 4
3 2 3
4 2 3
10 4
2 1 0
1 2 1
1 1 1
0 0 2
2 0 2
1 1 0
2 1 2
0 1 0
1 2 0
1 2 2
10 7
2 2 4
1 5 4
0 4 0
0 0 2
5 5 3
1 1 1
5 0 3
3 5 3
5 1 0
4 0 0
10 8
4 4 3
0 2 1
2 3 1
0 1 1
1 0 2
2 4 1
4 1 1
1 2 1
1 3 0
1 4 4
10 2
3 1 0
1 0 0
2 2 0
3 2 3
3 0 0
0 0 0
1 3 1
0 0 2
3 0 2
3 3 2
10 2
0 0 2
2 0 3
0 2 2
3 2 0
0 1 3
2 3 1
0 3 1
1 1 2
0 3 2
2 0 2
10 9
4 3 0
0 0 1
2 2 1
4 3 5
2 2 3
5 1 1
2 3 0
3 5 4
2 0 1
4 0 3
10 3
1 0 0
1 0 1
2 0 0
1 2 2
1 2 0
0 1 2
2 1 1
2 0 2
1 1 2
1 2 1
10 3
2 2 3
3 2 3
1 0 3
1 2 2
1 1 2
3 1 0
1 0 0
2 0 1
2 3 3
1 2 1
10 9
2 2 1
4 1 3
0 1 2
2 4 2
1 1 0
2 2 4
3 3 2
2 2 2
3 0 4
2 0 2
10 2
1 5 0
3 1 1
0 4 1
2 5 5
0 2 1
3 1 5
0 5 1
3 5 0
1 4 5
0 3 2
10 8
2 1 3
3 0 3
2 2 4
3 2 3
1 1 1
2 0 4
2 2 0
0 0 4
2 4 2
1 3 3
10 3
3 1 2
0 0 2
0 3 3
1 0 3
2 1 3
0 1 3
3 2 1
2 1 1
1 3 3
1 1 1
10 7
1 0 3
3 3 2
2 3 2
0 1 0
3 1 1
1 0 2
3 2 3
0 1 2
0 1 3
3 3 3
10 9
2 0 1
1 2 2
1 2 0
2 2 2
0 1 2
1 1 1
2 2 0
0 0 1
2 1 2
1 1 2
10 9
1 0 3
2 3 0
3 0 3
2 3 1
0 1 1
3 2 3
3 2 1
0 2 1
1 1 0
2 2 3
10 8
2 2 3
3 4 3
4 1 2
1 3 3
2 3 1
0 3 2
4 3 2
1 0 0
1 1 1
4 4 0
10 3
0 3 3
0 1 3
3 1 2
1 1 1
2 2 2
3 3 1
1 2 2
1 0 2
1 3 2
2 0 3
10 6
1 2 2
1 1 0
0 2 2
0 1 0
1 2 1
1 1 1
0 2 1
2 2 0
0 1 1
2 0 2
10 5
0 1 0
1 0 0
0 2 0
1 1 2
0 0 0
1 2 2
0 1 2
2 2 0
2 2 1
0 0 2
10 8
3 2 4
0 1 5
3 5 1
3 3 0
1 4 5
0 3 1
5 2 2
0 4 3
0 4 1
5 0 1
10 3
0 3 1
2 0 2
1 3 0
2 0 1
3 1 2
3 0 0
2 1 3
3 0 3
1 3 3
0 2 2
10 4
1 1 0
3 3 1
2 1 1
1 3 0
3 0 0
3 1 1
3 2 1
3 1 3
0 1 1
0 3 3
10 8
2 0 1
1 0 1
1 2 0
1 2 2
2 1 2
2 2 2
0 1 2
1 1 1
0 0 2
2 2 1
10 9
3 0 1
3 2 0
2 1 2
3 1 2
2 2 3
1 3 0
0 0 3
0 3 2
2 0 1
0 2 1
10 3
4 4 4
1 4 1
1 0 3
1 3 1
2 0 1
1 4 2
4 4 2
2 2 4
3 0 2
4 0 0
10 5
1 2 1
1 2 0
2 2 1
0 1 2
2 0 2
0 0 1
0 1 0
1 0 1
1 0 2
1 1 0
10 7
4 1 1
1 0 2
4 1 3
2 3 3
1 0 3
2 1 0
0 0 3
3 4 2
4 0 1
0 4 1
10 9
0 2 1
1 3 3
0 3 3
0 1 0
1 2 2
3 0 2
3 1 0
1 3 2
2 1 3
3 0 1
10 4
2 3 1
1 0 1
0 2 3
1 0 2
1 1 2
2 1 2
0 2 0
2 1 3
2 0 1
2 3 0
10 5
0 0 4
0 1 3
1 4 1
1 3 1
3 0 2
3 4 4
2 3 3
0 4 0
1 4 2
4 3 2
10 8
1 2 1
0 0 2
3 3 0
2 3 0
1 0 2
0 3 1
2 0 0
0 1 2
2 1 3
3 0 2
10 7
3 0 1
3 1 3
4 0 4
4 2 3
3 3 0
4 4 3
4 4 0
2 4 4
1 0 0
0 2 1
10 5
4 4 0
0 0 2
2 1 0
3 0 2
3 3 0
1 1 0
0 0 3
1 4 3
1 0 4
3 3 2
10 7
0 0 0
2 1 1
2 1 2
1 1 1
1 0 1
2 1 0
1 2 0
2 2 1
2 0 2
2 2 2
10 9
1 2 1
1 1 0
1 1 2
1 0 0
0 1 0
2 2 2
0 2 0
1 0 1
1 2 0
2 0 2
10 7
1 0 3
5 0 3
2 4 2
5 2 1
5 0 4
4 1 3
3 1 4
0 5 0
4 1 4
3 1 0
10 9
3 1 1
3 0 3
0 2 1
0 1 3
2 2 1
1 1 3
2 3 2
0 0 1
2 1 3
0 2 3
10 4
0 1 0
2 4 1
0 2 0
4 4 2
5 3 5
1 1 0
4 1 3
3 0 2
5 1 2
0 1 4
10 9
0 2 3
3 0 0
5 3 3
4 4 4
2 0 3
1 5 0
5 0 4
3 0 1
4 3 3
1 0 4
10 7
2 2 2
2 1 0
0 2 2
0 1 2
0 0 0
0 1 1
2 0 0
0 0 1
1 0 0
2 1 1
10 5
0 1 3
0 2 0
0 3 0
3 3 3
2 1 3
1 2 2
0 2 3
2 0 1
1 0 2
2 2 0
10 5
0 2 0
1 4 1
2 3 5
5 4 2
4 3 1
0 5 5
2 2 2
5 2 3
0 1 5
4 3 3
10 6
0 1 4
4 3 0
2 1 1
4 0 3
1 1 1
2 3 1
2 2 0
4 0 4
0 3 4
1 4 0
10 6
0 3 0
1 2 1
2 0 2
1 1 3
2 3 0
0 2 2
3 2 3
2 0 1
3 3 2
1 2 0
10 9
2 4 1
1 3 2
2 1 2
4 4 4
3 4 0
2 2 3
3 3 2
2 0 0
0 2 0
4 2 1
10 6
0 2 2
0 0 2
3 2 2
2 3 3
1 0 1
0 1 3
3 2 1
3 3 2
2 2 2
1 0 0
10 7
5 4 0
3 1 5
5 4 5
2 1 4
1 4 3
2 4 4
3 4 4
4 0 0
5 2 2
0 1 1
10 5
1 2 3
2 3 2
1 2 1
0 2 3
2 4 4
2 1 2
1 0 2
2 1 3
1 3 2
2 3 4
10 9
2 1 1
0 1 2
0 1 0
1 2 1
1 1 0
1 0 0
1 2 2
0 2 1
1 1 2
2 0 0
10 9
2 2 0
2 1 1
2 0 2
1 2 1
0 1 0
1 1 1
2 2 1
0 1 2
0 0 1
2 2 2
10 2
1 0 3
0 3 2
3 2 0
3 1 0
0 3 1
1 2 2
0 1 3
1 3 0
0 0 1
3 3 1
10 4
2 2 3
3 2 1
1 3 2
3 2 2
0 3 3
3 2 3
1 1 0
1 3 1
1 0 3
3 1 2
10 4
2 2 0
2 0 0
1 1 2
1 2 2
0 2 0
1 0 1
1 2 0
1 2 1
1 0 2
0 2 2
10 9
1 1 5
2 2 1
0 4 5
5 3 2
4 3 3
3 2 2
1 3 3
0 5 3
0 1 0
5 0 5
10 3
2 2 5
2 0 0
2 1 2
2 5 1
1 5 3
5 0 2
1 5 0
1 0 1
5 4 0
5 1 2
10 7
1 1 1
3 3 2
4 1 0
3 0 3
5 3 4
1 5 0
5 0 5
0 2 0
4 5 1
1 4 0
10 7
4 0 0
0 3 4
0 0 4
1 3 3
0 0 3
4 3 3
4 3 4
3 4 3
4 1 2
4 4 5
10 3
4 1 2
3 1 2
5 0 4
1 4 3
5 0 0
2 4 2
4 3 5
3 5 1
2 4 0
5 5 5
10 5
3 1 4
1 0 1
1 4 2
2 1 2
2 1 4
1 3 4
1 4 3
0 4 1
2 3 0
4 1 3
10 5
1 1 4
2 0 2
0 2 4
1 4 0
0 2 3
4 2 0
3 2 2
1 1 2
2 4 0
1 1 0
10 6
0 1 0
1 2 1
1 0 1
2 0 0
1 2 2
0 0 1
0 1 1
1 0 0
1 1 0
1 1 2
10 4
1 1 0
3 1 3
1 3 3
2 1 3
3 2 1
0 1 0
2 3 1
3 3 0
0 1 2
2 0 0
10 3
3 0 0
0 2 0
1 2 2
0 0 1
3 3 2
0 3 2
1 2 1
2 3 3
3 1 3
2 0 2
10 4
3 1 2
3 3 1
2 1 3
0 1 3
1 2 1
0 2 1
1 2 0
3 0 1
1 3 3
3 3 0
10 8
0 1 0
1 0 0
2 0 1
0 2 0
0 0 1
2 1 1
0 2 2
2 1 2
1 2 0
2 2 0
10 8
2 1 3
2 3 1
3 2 0
4 4 3
2 2 0
5 2 3
1 5 3
5 3 2
3 3 4
1 0 3
10 5
2 1 0
0 2 0
2 0 2
0 0 1
2 2 2
1 2 0
2 2 0
0 0 0
1 2 2
0 1 2
10 5
2 1 0
1 2 2
1 2 1
2 2 2
0 1 2
2 0 0
1 2 0
2 1 1
1 1 1
1 0 1
10 3
2 1 4
1 4 0
2 2 1
2 0 1
4 4 4
4 2 3
0 1 3
0 2 2
0 2 1
2 4 3
10 3
1 0 0
3 4 3
3 4 1
2 2 0
1 4 1
4 2 3
5 0 2
5 3 1
1 5 0
3 4 0
10 5
0 1 1
0 1 0
1 0 1
2 0 1
2 2 0
2 1 0
1 0 2
2 0 2
0 0 1
2 1 2
10 6
2 1 3
3 3 2
0 0 2
2 3 2
0 3 1
3 3 1
3 1 0
0 0 1
1 3 1
0 2 3
10 5
2 2 2
1 0 2
0 0 1
0 1 0
1 1 1
0 2 0
1 2 0
2 0 0
1 0 1
1 0 0
10 6
1 4 3
5 1 5
0 0 1
4 1 0
2 0 2
4 3 4
4 2 4
0 1 2
0 5 1
3 0 3
10 7
0 2 0
0 0 2
2 2 2
1 2 2
2 0 0
1 0 1
2 0 1
0 1 2
1 1 0
1 1 2
10 8
2 0 2
0 4 4
1 3 1
3 1 2
0 3 4
0 1 0
2 3 0
0 2 0
4 2 4
2 4 0
10 4
2 2 1
3 0 0
2 0 0
3 3 0
0 3 0
2 2 3
1 1 1
3 2 2
3 1 1
1 1 0
10 7
2 1 1
2 4 2
2 3 2
2 0 0
2 2 0
3 3 4
2 0 3
1 4 2
4 4 4
3 4 2
10 3
1 2 0
2 2 1
3 0 0
0 0 1
2 1 3
2 3 1
1 3 0
2 0 3
1 3 1
3 0 2
10 6
2 2 1
0 2 3
4 4 4
4 0 0
3 1 4
4 1 0
2 2 2
4 0 2
0 2 0
1 2 2
10 4
1 0 0
2 1 1
2 2 2
3 3 3
1 3 3
2 2 0
1 0 2
3 0 0
1 2 1
0 0 2
10 3
4 1 0
2 3 1
3 1 4
1 2 2
2 3 2
1 2 1
2 1 0
3 0 2
0 4 0
4 1 2
10 9
2 1 3
2 2 2
0 1 0
1 1 0
2 2 0
1 2 1
3 0 1
3 1 3
1 3 3
0 1 1
10 9
0 2 3
2 0 1
0 0 3
1 0 1
0 0 2
2 0 0
0 2 1
1 0 2
1 2 0
3 0 0
10 4
2 1 4
3 3 1
5 0 2
3 0 2
0 1 1
1 0 1
4 1 1
0 1 2
3 5 2
4 5 0
10 5
0 2 2
2 0 0
1 1 0
1 2 0
1 1 2
1 1 1
2 2 0
2 1 0
0 0 2
2 0 2
10 8
4 5 2
1 3 4
4 0 4
2 1 1
4 1 3
3 4 4
0 0 5
3 0 1
2 3 5
1 2 0
10 3
1 1 0
1 3 3
3 2 0
3 1 3
3 0 2
2 3 0
0 2 2
2 1 2
3 3 0
3 2 2
10 7
0 2 0
0 0 1
0 2 2
2 1 1
2 1 0
0 1 0
1 0 1
1 1 2
0 1 1
1 2 2
10 3
3 1 1
0 2 2
5 3 5
2 1 3
0 1 2
0 0 0
2 2 1
2 3 0
4 2 5
5 3 0
10 2
1 3 3
0 1 3
3 1 0
1 0 0
3 2 1
3 2 0
1 0 1
0 2 3
2 3 0
0 2 0
10 7
0 2 3
3 3 2
3 2 3
0 0 3
3 3 1
2 0 0
3 0 2
3 0 3
3 2 1
3 3 0
10 9
0 5 4
0 1 3
2 0 2
1 2 2
4 0 0
1 4 2
4 1 0
5 2 1
3 0 2
0 0 3
10 9
3 2 2
1 0 2
2 3 3
0 1 1
1 0 3
0 3 1
3 3 0
1 3 3
3 2 1
0 0 1
10 4
2 2 1
0 0 1
1 0 1
2 1 0
1 0 0
1 0 2
2 0 0
1 1 2
0 1 1
0 0 0
10 6
3 1 4
3 1 3
3 0 2
2 1 0
1 2 3
1 1 2
4 2 2
1 2 2
1 4 0
4 3 0
10 7
3 2 2
0 0 1
1 3 2
1 2 2
2 0 0
1 3 1
2 2 0
2 0 2
3 0 1
1 1 3
10 6
0 1 3
1 3 2
3 1 0
3 0 2
0 1 2
2 0 2
1 0 0
1 2 1
3 1 1
0 2 0
10 5
2 1 4
3 1 1
3 0 1
2 1 3
2 1 1
1 0 0
2 2 0
0 2 1
4 2 1
1 4 3
10 8
0 2 1
1 0 0
1 2 3
0 3 2
3 0 3
1 0 2
3 3 1
0 1 2
0 1 1
2 2 1
10 9
1 0 0
1 0 1
1 0 2
0 1 0
2 2 1
2 2 2
2 0 1
1 1 0
1 2 0
2 0 2
10 9
4 2 3
1 2 0
4 4 2
4 3 1
2 4 2
1 2 2
4 2 0
0 2 0
3 1 1
0 3 3
10 9
3 5 1
1 1 1
4 2 3
3 2 0
0 1 5
1 0 0
3 5 3
0 5 2
0 3 5
4 5 4
10 4
3 0 3
0 3 2
1 2 2
1 2 3
3 3 2
1 3 3
2 2 3
0 2 0
0 0 3
2 1 3
10 5
2 2 3
2 0 4
1 0 3
0 0 4
4 3 4
4 4 0
4 2 2
1 2 4
3 0 2
2 3 3
10 7
3 0 1
0 3 1
0 0 2
1 2 1
3 3 1
1 2 3
1 0 2
2 1 3
1 3 0
2 3 0
10 3
3 1 1
3 2 1
1 0 0
1 1 0
2 3 1
1 2 3
1 3 2
0 1 3
1 2 2
2 3 0
10 2
1 0 2
3 3 3
0 4 0
3 0 1
1 1 2
2 3 3
4 3 3
0 1 0
2 1 3
3 1 1
10 7
1 0 2
1 1 0
1 1 2
0 0 0
2 1 1
1 0 1
1 0 0
2 0 0
0 1 0
0 2 1
10 4
1 2 2
4 2 3
2 4 3
0 2 4
3 1 0
1 0 2
0 2 1
4 3 0
1 0 4
1 3 4
10 3
1 1 0
0 2 0
2 0 0
1 0 0
0 2 2
1 0 1
1 0 2
0 0 1
1 2 0
0 0 0
10 2
0 3 1
3 2 1
0 3 3
1 2 2
0 1 3
0 3 2
0 3 0
0 2 3
3 0 1
1 2 1
10 9
1 0 2
4 3 3
4 4 4
4 1 2
0 1 2
0 4 2
3 1 4
3 4 1
3 0 4
1 4 3
10 8
0 2 2
0 2 0
2 0 2
2 2 1
2 0 1
0 2 1
1 0 1
1 2 1
2 0 0
1 1 0
10 6
2 4 2
1 1 2
4 1 0
4 4 2
4 1 2
1 0 0
0 1 1
3 2 0
0 2 0
2 4 1
10 7
0 0 4
2 3 2
2 4 2
0 2 4
3 4 2
0 3 3
1 0 2
1 2 3
3 0 0
1 4 2
10 2
2 3 0
0 1 4
0 1 1
1 2 2
0 1 0
0 2 2
3 2 0
1 2 1
1 0 1
1 4 3
10 9
1 2 0
1 0 1
0 0 2
2 1 1
1 2 2
2 2 0
1 0 2
0 1 2
2 2 1
0 0 1
10 5
2 1 5
4 3 2
3 0 0
0 5 3
3 2 4
0 1 5
1 2 3
1 5 3
3 4 2
2 4 0
10 6
1 3 2
1 0 1
0 0 0
0 2 0
0 1 2
2 3 0
2 3 2
1 1 0
2 3 1
1 3 0
10 7
4 0 2
5 4 4
0 5 3
0 1 3
2 5 1
5 3 2
0 3 4
4 0 3
4 5 4
1 5 1
10 5
3 4 2
4 0 2
0 4 4
2 0 3
2 2 2
2 0 4
0 3 1
1 3 2
4 2 2
0 2 2
10 2
3 2 2
2 4 2
1 3 0
4 0 4
4 2 4
1 3 4
4 0 2
1 1 0
2 0 0
0 2 4
10 6
5 3 1
2 0 2
1 3 2
0 4 5
1 0 2
4 3 3
3 1 3
1 2 0
5 4 0
1 5 4
10 3
4 5 0
3 2 4
5 1 1
0 0 4
2 2 0
5 0 1
0 1 3
0 1 4
2 1 0
2 5 1
10 8
2 0 2
0 3 3
4 4 1
3 0 1
0 4 0
2 2 1
0 0 2
1 2 4
3 0 0
3 1 4
10 8
4 0 5
2 1 5
2 4 2
0 0 0
0 4 3
4 4 1
1 0 4
3 1 4
1 1 2
1 0 3
10 3
4 3 3
4 0 4
3 4 3
4 1 4
0 0 1
1 0 1
2 4 0
0 2 3
3 0 4
1 4 2
10 6
3 3 4
2 0 2
2 2 2
2 5 5
4 4 4
0 5 2
1 0 5
0 5 0
3 5 3
2 3 3
10 5
2 4 5
5 2 0
5 3 0
4 5 3
5 3 4
4 3 0
1 5 3
3 0 4
5 0 2
3 4 1
10 2
0 1 0
1 0 0
1 1 1
1 1 2
1 2 2
1 0 1
2 0 1
0 2 0
0 1 2
2 0 2
10 4
5 2 2
4 4 4
1 2 1
0 5 0
3 2 5
2 5 1
2 5 4
0 4 4
0 0 5
3 4 2
10 8
0 0 1
2 1 2
1 0 1
0 1 0
1 0 0
2 2 1
0 2 1
2 2 0
0 0 0
1 1 0
10 6
0 0 3
0 2 1
3 1 0
1 0 0
3 1 2
0 1 1
1 2 3
2 1 1
3 3 1
3 1 1
10 4
1 2 0
1 0 0
2 1 0
0 0 0
3 3 3
2 3 1
1 3 1
2 3 0
0 2 1
3 1 1
10 9
3 0 1
1 0 1
4 1 3
4 4 2
0 2 1
2 1 4
0 4 3
1 0 0
4 3 3
4 3 0
10 2
4 1 4
3 3 3
5 5 0
1 4 1
2 5 1
5 3 3
2 4 1
0 1 1
5 4 3
4 2 2
10 4
2 2 0
0 1 0
1 1 1
0 1 1
0 2 2
1 2 0
0 0 2
2 0 0
1 0 1
1 2 1
10 6
3 3 2
4 2 0
2 0 1
1 3 2
1 1 1
2 2 0
3 4 0
0 3 2
3 4 2
1 4 2
10 5
1 1 2
2 5 1
0 0 5
1 3 1
0 4 4
5 4 2
4 3 1
5 0 1
3 4 5
1 0 3
10 9
0 4 1
2 4 3
3 2 3
4 2 3
2 1 3
4 2 0
3 1 3
0 4 4
2 2 4
1 1 3
10 3
3 4 1
2 4 3
4 4 3
4 2 3
1 4 3
3 0 2
2 3 1
3 3 4
0 3 1
1 3 1
10 2
1 0 2
2 0 0
1 2 2
1 0 1
0 0 2
1 0 0
2 2 1
0 1 0
2 1 2
0 1 1
10 5
2 0 0
0 1 0
1 1 0
0 2 1
1 1 1
0 0 1
2 2 0
2 0 1
0 0 2
0 2 2
10 4
1 0 0
0 0 1
2 0 1
3 0 2
1 1 2
1 4 2
3 3 0
3 2 2
4 3 0
3 2 4
10 2
1 2 3
1 3 0
1 3 2
1 1 3
2 3 0
3 2 3
1 0 3
1 1 2
0 1 1
3 0 1
10 6
1 0 0
0 0 1
2 1 0
0 2 1
1 2 2
2 0 2
1 1 1
1 1 0
2 1 1
2 0 1
10 5
0 0 2
0 3 2
2 1 3
0 2 0
0 1 1
3 2 3
1 2 0
2 0 0
3 2 1
1 3 0
10 5
0 0 0
0 5 3
1 0 3
3 3 5
0 1 1
3 1 1
5 5 3
5 5 4
5 2 4
5 3 0
10 6
4 4 3
5 5 5
1 3 4
4 0 4
2 4 5
5 3 2
1 2 2
5 2 0
3 4 0
2 4 2
10 6
1 2 0
2 0 0
0 1 2
0 1 0
1 1 1
0 2 2
2 0 2
1 0 1
1 2 2
2 1 2
10 6
1 3 0
3 0 1
3 3 1
0 2 0
3 0 0
1 0 0
2 2 3
3 2 2
3 3 3
0 0 2
10 2
2 2 0
0 0 1
1 3 2
2 1 3
2 3 3
3 0 3
2 2 3
0 1 0
3 1 3
2 1 1
10 9
1 0 2
0 2 1
1 2 2
2 0 0
0 1 2
1 1 2
0 1 1
1 1 0
0 0 0
2 1 2
10 2
2 2 2
4 1 4
4 3 1
0 3 0
4 3 3
4 2 3
1 3 1
2 0 4
2 1 0
2 3 0
10 8
2 2 1
0 2 2
2 0 1
1 2 0
1 2 1
1 1 1
0 2 0
1 0 1
1 1 0
2 0 0
10 8
2 0 2
1 2 3
0 1 4
3 4 4
2 4 2
0 1 2
1 3 3
2 4 0
1 0 0
3 3 2
10 8
1 0 0
0 0 2
2 2 1
0 2 2
0 1 0
0 1 1
0 1 2
1 2 0
2 1 0
2 1 1
10 9
0 4 1
3 1 1
0 0 1
4 3 0
2 4 3
1 0 4
1 3 4
2 2 1
0 0 3
4 1 2
10 8
2 2 1
0 3 5
4 4 4
2 3 4
0 4 5
3 5 0
0 5 5
1 4 4
4 2 5
5 3 1
10 9
2 0 0
1 2 1
2 1 2
2 0 2
0 0 0
2 2 0
2 2 2
1 2 2
1 0 0
2 2 1
10 9
3 1 2
0 4 4
0 2 3
0 0 1
4 0 4
3 5 4
0 2 2
4 2 4
5 5 1
2 5 1
10 8
4 1 1
3 2 4
0 4 2
0 0 3
4 0 3
3 3 4
3 2 3
2 4 4
1 3 4
4 1 3
10 8
4 3 5
4 1 5
4 3 3
1 0 4
0 1 4
2 4 5
3 4 2
2 5 0
3 1 4
0 1 0
10 6
3 2 3
3 0 3
0 2 1
3 1 0
0 1 3
0 0 0
3 3 1
1 3 1
2 3 0
2 2 0
10 5
5 5 4
4 4 5
4 2 3
4 5 3
0 2 5
2 5 0
5 2 4
1 1 4
1 0 0
5 5 3
10 9
2 2 1
0 0 2
1 2 0
3 1 3
3 3 1
0 3 2
3 3 3
3 1 0
2 0 1
2 3 3
10 9
0 2 2
2 0 2
1 1 1
2 2 1
0 0 0
2 1 2
2 1 1
2 2 2
1 0 1
1 2 1
10 4
3 0 2
3 3 0
0 2 2
2 2 3
1 1 1
3 3 2
0 1 3
2 3 3
2 0 3
0 0 2
10 6
3 2 0
0 1 2
4 3 5
5 4 1
1 2 0
2 3 4
0 2 0
4 5 4
5 5 4
3 3 0
10 7
2 1 0
1 1 2
1 0 1
2 0 0
1 1 0
1 0 0
0 1 1
2 0 1
1 2 2
2 2 0
10 6
5 4 2
5 0 2
4 2 4
5 5 1
4 5 2
0 3 4
1 5 4
0 2 3
1 1 5
0 4 4
10 3
1 4 5
5 3 2
2 3 0
0 5 4
5 3 0
3 3 1
5 3 5
0 1 0
2 1 0
1 0 0
10 2
4 0 3
3 0 2
4 4 0
1 2 1
2 0 1
0 1 3
2 3 4
0 1 1
2 4 0
0 2 3
10 6
0 3 1
2 0 0
2 3 3
0 3 3
1 0 3
3 0 3
1 2 0
3 0 0
2 0 2
0 2 3
10 7
5 3 1
1 3 1
0 1 0
1 0 0
5 0 1
3 1 3
2 4 4
1 1 4
2 3 3
1 4 0
10 6
1 2 3
3 2 3
0 0 0
3 3 0
0 1 3
3 1 3
2 1 3
2 3 3
1 3 1
0 3 1
10 6
4 0 0
4 2 2
3 0 4
3 4 0
1 4 3
4 3 2
0 1 1
1 1 1
4 0 1
3 1 1
10 8
2 2 2
2 0 0
2 0 1
0 0 0
2 2 0
1 2 1
0 1 2
1 0 0
0 1 0
1 1 1
10 8
0 2 2
2 1 2
1 1 0
1 0 2
2 1 0
2 2 2
0 2 0
2 0 1
0 0 2
2 1 1
10 5
3 0 1
2 1 1
2 0 0
1 1 3
0 2 1
0 3 1
2 1 0
2 3 2
2 3 1
2 0 1
10 4
2 4 1
0 1 4
2 3 2
2 1 0
2 0 1
1 0 2
2 0 4
4 2 3
2 0 3
0 1 1
10 6
0 0 3
0 3 2
3 1 2
3 0 2
0 3 3
0 2 2
1 0 0
2 1 1
0 1 0
1 3 2
10 7
3 1 3
2 4 0
2 5 2
5 5 4
5 5 1
3 5 5
2 3 5
1 1 1
0 5 5
2 1 1
10 2
2 1 1
2 2 3
2 0 2
2 1 2
0 1 2
0 0 1
1 1 2
3 0 0
2 1 0
1 2 2
10 7
1 5 2
4 4 3
0 4 4
0 3 2
2 0 1
2 2 4
5 2 5
2 0 4
4 5 0
0 2 3
10 7
2 1 0
1 0 0
0 1 1
2 1 2
1 2 0
2 0 2
1 0 2
2 0 0
2 1 1
2 2 0
10 7
0 5 4
4 5 5
4 2 2
3 0 4
1 2 3
3 0 0
5 3 5
5 2 5
5 1 5
1 0 1
10 3
1 3 3
2 0 1
3 2 3
1 0 0
2 0 2
3 1 3
1 1 0
3 3 3
1 1 1
1 2 1
10 6
2 2 1
0 1 0
0 2 0
2 0 1
1 2 2
1 0 0
2 0 2
2 1 2
1 2 0
1 1 1
10 5
0 0 4
1 2 2
0 2 2
2 3 1
2 3 0
1 1 0
1 3 1
3 2 4
4 1 2
0 3 1
10 2
2 4 2
1 3 3
3 2 1
3 5 5
5 5 3
0 4 4
0 2 1
1 0 5
2 5 1
3 5 4
10 6
0 0 4
2 0 1
3 1 5
4 0 3
2 2 3
5 1 3
0 5 2
5 2 4
1 3 3
1 5 4
10 4
0 1 1
3 1 1
3 1 3
1 2 0
0 1 3
0 0 2
2 0 1
3 3 3
1 1 0
2 1 0
10 7
1 1 0
0 0 1
2 3 3
1 0 2
4 1 4
0 2 2
4 2 4
3 2 2
1 3 0
2 1 1
10 8
2 1 0
3 2 0
0 1 1
3 0 2
0 2 0
1 0 0
1 0 3
1 1 1
2 0 3
3 1 2
10 9
2 1 0
2 3 1
1 0 0
2 0 3
3 1 1
3 0 0
0 3 1
3 1 2
1 3 0
1 2 2
10 6
0 0 1
0 1 3
2 3 1
1 1 2
3 0 3
2 1 2
0 3 3
1 0 2
0 1 0
2 1 3
10 4
0 0 1
1 0 2
0 0 0
1 1 2
2 0 0
0 1 1
1 0 0
2 2 1
0 0 2
2 1 2
10 4
0 0 0
4 3 3
2 3 2
4 5 5
3 3 1
3 0 5
5 3 4
5 1 0
1 0 1
1 0 0
10 7
0 0 2
3 4 5
2 5 4
2 3 1
1 1 4
5 1 3
5 1 4
5 1 0
2 5 2
1 0 3
10 7
3 1 3
1 4 0
2 4 2
3 2 2
0 0 4
4 3 1
4 2 3
2 2 1
3 3 1
2 3 2
10 2
1 3 1
1 3 3
1 3 2
2 2 0
1 3 0
1 1 2
2 3 2
0 2 2
1 0 3
1 1 0
10 9
2 3 0
1 0 2
1 2 1
3 3 0
0 1 1
0 3 3
1 3 0
3 3 3
0 1 3
0 0 0
10 9
1 2 0
1 1 0
1 2 2
0 1 2
0 0 2
2 2 0
0 0 0
0 2 0
2 1 2
0 0 1
10 5
0 3 1
1 0 1
3 0 1
0 0 2
3 1 0
1 0 3
3 1 2
0 1 2
1 2 0
1 2 3
10 6
0 1 2
4 3 1
0 1 0
0 4 4
2 1 1
4 4 0
3 3 2
3 1 0
2 1 3
2 2 0
10 9
2 3 4
4 2 2
1 2 5
3 2 5
0 3 5
0 5 0
5 5 1
3 2 1
1 4 2
2 5 1
10 4
2 2 0
1 2 1
3 3 2
1 1 0
2 2 3
0 2 1
3 0 1
0 3 3
3 1 1
0 3 1
10 5
1 3 0
3 4 3
4 4 2
4 3 1
1 2 3
1 3 1
2 2 3
2 0 1
2 4 2
2 3 3
10 3
0 2 1
1 2 2
1 0 0
2 1 0
2 2 1
1 0 2
1 1 0
1 2 0
1 2 1
2 0 2
10 5
2 4 2
4 1 2
1 3 1
0 0 0
4 1 4
4 3 1
0 4 2
2 0 3
0 1 1
4 1 1
10 9
4 3 1
5 5 0
1 5 3
2 2 0
1 3 5
3 1 3
1 0 5
1 2 5
5 2 0
2 3 5
10 2
2 2 3
0 3 2
1 2 1
2 3 5
0 5 4
3 4 0
0 4 2
5 0 2
4 5 1
5 5 3
10 8
5 0 4
2 1 3
3 5 0
0 4 1
5 0 2
2 5 3
5 0 3
5 5 5
4 2 0
3 4 0
10 7
2 2 2
2 0 2
5 3 1
1 0 4
2 3 5
0 2 2
4 0 2
1 2 3
0 2 3
1 2 2
10 8
4 1 4
1 1 3
4 0 1
0 3 3
2 2 3
3 1 1
1 1 4
4 3 2
1 2 0
0 1 3
10 5
0 4 3
1 3 3
4 3 4
2 4 2
4 0 4
3 3 1
4 2 1
0 2 3
1 4 1
4 2 4
10 2
2 2 0
2 2 2
2 1 2
0 0 1
1 0 0
2 2 1
1 2 0
0 0 2
1 2 1
0 2 0
10 6
1 2 2
2 4 3
3 3 4
0 3 0
2 2 4
1 0 2
0 1 3
3 2 3
1 3 3
2 2 0
10 8
5 0 2
4 4 4
4 1 0
2 2 0
2 4 2
4 0 0
0 1 3
4 5 4
5 1 0
2 0 0
10 6
1 2 3
1 1 0
1 3 0
2 1 3
1 0 3
1 2 0
0 1 0
0 1 2
3 3 2
3 0 2
10 7
3 1 2
3 0 1
0 2 3
2 3 2
2 1 3
0 1 3
0 0 0
0 3 1
1 0 0
1 1 3
10 5
3 2 1
2 1 0
1 0 0
0 1 3
2 3 0
3 1 2
4 1 3
3 0 2
0 3 3
0 3 1
10 4
5 4 2
2 1 1
3 0 5
0 0 1
3 4 4
0 0 2
5 4 0
4 5 1
2 4 1
4 3 5
10 3
3 3 4
2 0 2
2 4 1
3 0 5
4 4 4
5 3 5
0 1 4
0 4 5
3 4 3
5 1 1
10 3
4 4 5
3 4 4
1 3 4
5 1 2
4 1 0
2 1 1
5 2 4
0 3 0
1 5 3
5 3 1
10 9
2 2 2
0 0 0
0 0 1
0 2 2
2 2 0
0 0 2
0 1 0
1 1 0
1 1 2
2 1 0
10 6
2 2 3
0 0 0
4 1 4
4 0 0
3 1 4
4 1 3
2 4 4
1 4 3
4 4 1
0 3 2
10 5
1 2 1
1 2 3
3 2 0
3 1 3
2 1 1
0 2 2
1 3 2
0 1 2
1 2 2
0 2 3
10 4
1 4 0
4 4 0
1 3 4
1 3 0
1 1 2
3 3 1
2 2 1
1 1 3
3 4 4
3 4 0
10 7
3 3 2
1 1 1
3 1 2
0 2 3
0 0 3
2 1 3
3 1 0
1 3 1
3 1 3
0 1 2
10 3
1 4 5
2 4 5
0 2 3
0 0 1
3 4 0
1 3 4
0 4 0
2 1 0
0 3 3
3 0 0
10 4
0 1 2
1 5 5
4 2 3
0 4 2
2 0 5
2 4 1
0 3 1
5 2 5
1 5 0
5 0 3
10 7
5 0 3
5 1 0
2 0 5
4 0 2
5 5 4
0 4 5
5 4 1
3 4 0
2 0 2
4 3 0
10 6
4 1 2
1 3 2
3 5 0
2 4 3
5 1 4
2 0 5
0 4 4
1 0 4
5 3 5
0 5 1
10 6
1 0 3
0 0 2
2 1 0
1 2 0
1 3 1
1 3 2
2 3 2
2 2 0
1 1 2
2 3 1
10 7
2 4 1
1 1 1
5 3 1
4 2 2
5 2 1
2 4 2
4 4 0
5 3 2
4 2 5
2 2 5
10 7
5 5 4
2 0 3
2 3 1
0 1 0
1 2 0
4 1 3
5 3 1
2 5 1
4 2 3
2 2 4
10 6
1 3 0
0 4 3
2 3 0
0 4 1
4 3 4
0 0 0
4 1 1
2 1 2
3 0 3
4 1 4
10 7
3 2 1
1 3 2
0 2 1
2 1 2
3 1 0
3 1 3
3 3 2
1 2 3
0 0 0
2 2 1
10 8
1 1 3
0 2 0
2 1 0
1 0 1
1 3 1
2 1 3
0 0 2
3 1 1
2 1 2
1 0 2
10 4
2 0 0
1 1 1
1 1 2
0 0 0
2 0 1
2 2 2
2 2 0
2 1 2
1 2 0
1 0 1
10 4
2 2 2
1 1 0
0 2 1
0 1 1
0 0 1
2 2 1
0 0 2
1 2 0
1 0 2
0 2 2
10 5
0 1 2
2 0 1
0 0 2
2 1 2
1 0 0
1 1 0
1 0 1
2 1 1
1 2 1
1 1 1
10 4
1 2 0
0 0 1
3 0 0
1 0 1
3 3 1
0 2 1
2 2 1
0 2 2
3 3 0
0 1 2
10 4
5 0 5
4 3 4
0 1 5
2 4 2
3 5 5
3 3 0
0 0 5
0 3 1
5 2 4
1 3 0
10 9
1 2 2
2 1 0
0 0 0
0 1 0
1 1 1
2 0 1
2 2 2
0 0 2
0 1 1
2 1 2
10 2
4 2 3
4 3 3
0 1 3
4 0 4
2 2 2
3 3 1
4 0 3
3 1 2
4 1 4
2 4 1
10 9
0 0 0
2 2 2
1 1 1
1 0 1
1 2 0
0 1 1
0 0 1
0 2 0
2 0 2
2 1 0
10 9
4 1 3
0 1 0
1 4 2
1 4 0
3 1 4
2 0 0
2 0 4
4 1 4
2 2 1
4 1 2
10 4
2 2 3
3 2 3
1 2 1
0 3 3
2 3 2
1 0 3
3 1 2
3 3 2
1 1 2
1 3 0
10 3
0 2 2
0 2 1
2 0 1
2 2 0
1 2 1
2 0 0
2 2 2
0 0 1
0 1 0
1 1 1
10 3
3 4 0
2 5 0
4 4 0
0 2 4
3 1 5
5 1 3
5 4 5
2 3 2
1 1 0
0 0 3
10 9
0 2 2
4 3 4
1 0 1
0 2 3
2 1 4
3 3 2
2 0 4
0 0 2
1 3 0
0 0 0
10 2
1 0 0
1 1 0
1 2 0
0 2 2
2 0 2
0 0 2
2 2 1
1 0 2
0 2 0
0 0 1
10 4
1 1 0
2 0 0
3 0 3
2 0 1
3 0 2
2 3 1
1 1 2
1 2 3
3 1 3
2 3 3
10 4
0 2 1
3 4 4
3 1 4
3 2 3
0 2 3
1 4 0
1 0 0
2 2 0
2 1 2
3 1 3
10 3
1 2 0
2 2 2
1 1 1
2 1 1
1 1 0
2 0 0
1 0 1
1 1 2
0 2 2
1 0 2
10 3
4 5 3
5 1 4
1 3 3
4 1 4
4 0 5
4 4 4
3 5 3
0 0 3
5 5 1
0 3 0
10 6
1 1 2
1 2 0
2 2 2
1 0 0
0 0 0
1 1 0
2 0 2
2 2 1
2 1 2
2 2 0
10 3
1 0 2
2 1 2
0 0 0
0 1 2
2 0 0
1 2 0
2 2 1
0 2 0
0 0 1
2 1 1
10 4
0 1 2
2 0 0
1 1 1
2 1 1
0 0 0
1 2 1
2 2 0
1 2 2
1 1 0
0 2 2
10 9
2 4 1
0 3 4
2 2 1
3 1 3
3 3 3
4 1 3
4 2 0
4 1 0
1 4 2
1 3 4
10 2
0 1 3
3 2 0
3 2 1
3 1 0
1 3 2
0 0 0
3 0 0
0 2 0
2 0 3
3 1 3
10 6
2 0 0
2 1 0
0 4 0
2 4 2
0 4 5
3 4 3
4 4 1
0 4 2
2 1 3
0 5 2
10 6
3 5 3
0 2 4
4 1 3
5 3 1
5 3 3
1 1 1
2 5 5
0 0 3
3 1 2
1 4 2
10 6
1 0 2
1 3 0
1 0 3
0 3 2
1 0 1
3 0 3
1 3 1
0 3 0
2 1 2
0 2 0
10 3
4 1 3
1 3 1
3 2 2
0 3 5
0 4 4
2 1 4
1 4 2
4 2 5
2 3 2
0 5 3
10 4
2 1 2
2 0 1
0 1 2
0 0 0
0 2 2
0 2 0
2 1 0
1 2 1
0 0 2
1 0 0
10 8
3 2 2
0 2 1
2 3 3
1 2 2
3 1 1
0 2 2
0 3 0
1 3 0
0 1 1
0 3 3
10 9
5 4 2
2 1 2
0 5 4
3 1 5
2 0 4
3 2 4
0 1 4
0 2 0
1 5 0
4 1 0
10 2
0 2 3
3 1 0
2 3 2
3 0 3
0 0 1
2 1 1
1 2 2
2 3 3
3 2 2
1 3 0
10 7
0 2 2
2 1 0
2 1 1
1 0 2
2 0 2
1 1 2
2 2 2
0 1 2
2 1 2
0 1 1
10 2
1 0 0
1 2 2
0 2 1
0 2 2
1 1 0
0 0 0
0 1 2
1 1 1
1 1 2
2 2 2
10 5
3 0 1
2 2 1
3 1 0
3 2 3
4 1 2
5 4 5
5 3 3
5 5 4
4 0 1
5 2 0
10 9
1 0 2
1 2 1
0 2 2
0 2 0
2 2 2
0 0 2
0 0 0
0 1 2
1 2 2
0 2 1
10 4
2 1 2
4 4 4
4 4 0
0 2 0
2 1 4
4 3 4
4 0 0
2 4 1
3 1 1
4 4 2
10 4
3 2 2
2 1 3
3 1 0
1 1 1
0 0 3
2 3 1
0 3 3
1 2 3
3 3 3
2 2 0
10 2
4 4 3
4 5 4
0 4 3
1 4 1
0 1 1
2 2 4
0 1 4
2 1 3
4 5 1
0 3 1
10 7
2 1 3
2 2 0
2 0 1
1 0 2
3 2 3
0 1 1
0 1 0
0 0 0
2 1 2
3 3 2
10 6
3 0 2
4 2 2
1 0 2
2 2 2
2 2 0
3 3 0
3 2 4
0 4 3
2 4 0
0 0 2
10 4
2 5 0
1 0 5
3 1 2
0 3 1
4 2 2
1 0 4
2 0 1
2 1 3
3 4 1
2 5 1
10 8
1 2 2
0 2 2
0 0 2
2 2 2
0 1 0
2 1 0
2 2 0
2 1 2
0 0 1
2 0 0
10 9
4 4 5
4 3 3
2 0 0
3 3 0
5 3 0
4 3 4
4 2 2
1 1 0
0 5 2
1 2 1
10 8
0 2 0
2 1 0
1 2 1
2 0 0
2 2 1
2 0 2
2 2 0
1 0 1
0 1 0
1 1 1
10 2
2 3 3
1 1 2
0 3 0
3 0 1
1 0 0
3 3 0
3 1 3
3 2 3
2 2 3
1 0 3
10 2
3 1 2
3 0 3
1 2 2
3 3 1
2 1 1
1 3 3
2 0 0
0 0 3
3 0 2
1 0 2
10 8
0 2 1
2 0 5
4 1 2
2 5 3
0 0 2
2 1 4
0 2 4
4 3 5
1 3 3
3 3 5
10 7
4 0 0
0 4 0
2 0 1
4 2 3
0 2 1
3 2 0
4 1 4
0 4 1
1 4 0
4 3 1
10 5
1 2 1
0 0 1
1 2 2
0 2 0
2 1 1
0 1 2
2 2 0
2 1 0
2 0 0
2 2 1
10 3
2 2 3
0 2 0
1 0 3
0 3 2
0 2 1
3 1 0
0 3 3
0 1 2
2 3 1
2 2 0
10 7
1 2 2
2 2 2
3 2 2
1 3 3
3 0 3
2 3 2
3 2 0
3 3 1
0 2 3
1 3 0
10 7
3 0 2
1 2 3
3 1 0
2 1 3
2 3 0
1 2 0
0 1 2
3 1 1
2 0 0
3 1 2
10 5
1 0 0
2 1 2
1 0 1
0 2 2
0 0 0
1 2 0
2 2 1
1 1 2
0 1 0
0 0 1
10 4
1 2 3
3 3 4
0 0 0
0 2 1
1 4 4
1 0 1
0 0 2
1 1 4
0 0 3
1 2 2
10 7
3 0 2
0 1 0
1 0 2
2 3 2
1 3 0
2 1 0
3 0 3
2 3 0
3 1 2
2 0 3
10 3
3 5 5
3 1 0
1 3 4
4 4 2
1 2 0
5 0 2
3 1 4
1 0 5
0 0 1
5 5 4
10 7
1 2 3
0 0 3
1 1 1
3 2 0
2 0 1
1 0 0
3 2 1
2 3 1
3 3 2
0 1 1
10 8
0 1 1
1 1 2
2 1 2
0 0 2
0 1 2
2 0 2
2 0 0
1 2 0
1 0 2
2 1 1
10 8
5 2 0
5 3 5
2 3 2
0 3 3
5 2 2
0 2 2
5 3 4
2 2 2
2 4 3
1 1 3
10 4
2 1 4
4 4 4
2 4 1
3 1 5
0 3 1
5 0 4
4 1 2
4 0 4
2 3 2
2 2 4
10 6
1 0 1
4 5 2
2 1 5
1 4 0
3 5 2
3 3 0
5 0 4
0 2 3
2 3 4
1 1 5
10 9
1 0 1
0 1 1
0 0 0
1 1 1
1 1 2
0 0 2
2 1 2
0 1 0
2 1 0
1 1 0
10 4
3 2 2
1 0 3
3 3 2
3 4 4
2 1 1
4 4 1
1 4 3
0 0 3
4 2 1
1 3 0
10 7
1 0 1
2 0 1
2 0 2
1 1 1
2 1 1
0 1 2
0 1 0
1 1 0
0 0 1
2 1 0
10 7
1 0 2
3 0 2
0 1 2
1 3 3
0 1 0
1 0 1
1 3 0
1 0 3
0 3 3
0 3 2
10 2
2 1 2
0 2 0
0 1 2
1 2 2
0 0 0
0 0 1
2 0 0
2 2 1
1 0 0
0 2 1
10 7
3 2 0
2 3 1
1 0 3
2 3 0
1 3 2
0 3 1
1 1 3
0 2 1
2 2 2
1 0 0
10 6
1 0 0
1 0 2
2 1 2
0 0 0
2 1 0
0 0 1
2 0 2
2 1 1
2 2 2
2 0 1
10 8
0 1 4
0 2 0
4 2 1
2 0 1
1 0 5
5 2 1
2 3 1
3 0 4
4 4 3
3 4 3
10 5
1 0 0
2 0 2
2 0 0
2 1 0
1 2 0
0 0 1
1 2 1
0 2 2
0 2 1
1 1 1
10 6
2 3 1
0 0 2
0 0 0
3 0 1
1 1 0
3 1 0
2 1 1
0 0 1
2 1 2
3 1 3
10 2
3 2 1
2 3 2
2 3 3
2 2 0
1 3 1
2 3 0
1 3 3
0 3 1
1 1 0
3 0 1
10 7
0 1 1
2 2 2
0 2 1
1 2 2
1 2 1
0 0 0
0 2 2
2 1 2
0 1 2
0 0 1
10 7
1 0 1
0 2 1
2 2 0
2 1 0
0 1 2
2 0 1
0 2 0
2 0 0
0 1 1
0 0 2
10 6
0 1 1
0 1 0
1 1 0
0 1 2
2 1 0
2 2 1
2 2 2
1 0 2
1 2 1
0 2 1
10 6
2 0 3
0 1 1
2 2 2
2 2 1
1 1 2
3 1 1
1 0 1
3 0 0
0 1 0
3 2 0
10 8
3 0 1
0 3 0
0 3 3
3 2 0
1 3 1
0 1 4
0 4 4
0 4 1
3 0 2
4 4 4
10 4
4 5 5
4 5 4
3 1 0
3 4 3
5 1 0
5 1 2
3 5 2
1 5 0
3 3 1
3 0 4
10 4
0 1 1
0 2 0
0 1 2
2 2 2
1 2 1
2 1 2
1 0 0
2 2 0
0 1 0
1 2 0
10 7
0 4 2
5 2 3
4 0 0
1 0 2
1 4 4
3 5 0
1 5 3
5 1 5
3 1 4
1 1 3
10 3
2 0 1
0 4 1
3 2 4
0 3 1
1 4 4
1 0 4
3 2 3
3 4 4
3 0 1
2 4 3
10 8
1 1 0
2 2 1
1 0 3
2 0 1
1 1 1
1 2 3
0 3 2
0 3 0
2 3 1
0 1 0
10 5
0 2 4
4 2 1
3 2 0
4 4 0
0 1 4
1 1 2
1 3 4
0 2 2
1 0 1
1 4 0
10 5
1 3 0
0 2 1
2 3 2
0 0 1
1 3 1
3 0 2
0 2 0
2 3 3
3 0 0
3 2 2
10 7
2 1 0
0 1 0
3 0 0
1 3 0
1 1 0
1 0 3
1 2 0
3 0 2
1 2 2
1 1 1
10 8
1 3 1
3 1 1
1 3 3
1 2 3
0 1 2
2 0 2
2 3 3
2 0 3
3 3 2
0 1 1
10 9
1 1 2
2 0 1
2 1 1
2 0 2
0 2 2
0 0 0
2 2 0
0 2 0
1 2 2
2 0 0
10 4
1 3 0
1 1 0
1 2 0
1 1 3
1 0 1
0 1 1
3 0 0
0 0 0
2 3 3
1 0 2
10 4
2 4 1
0 0 5
3 1 2
4 1 1
3 4 5
1 5 5
4 2 2
1 0 0
2 4 4
2 1 5
10 9
0 3 0
3 3 4
4 1 3
4 4 0
0 3 4
3 2 1
0 2 1
3 3 0
0 4 1
4 4 3
10 4
0 0 1
2 1 2
1 1 0
0 1 1
1 2 1
0 1 2
2 2 0
0 1 0
0 2 0
0 2 1
10 3
4 5 2
1 2 3
1 1 1
0 0 3
1 3 1
5 2 2
3 5 1
1 1 4
3 1 2
2 0 3
10 6
3 0 0
3 3 3
0 0 1
0 1 2
0 2 3
3 1 0
0 0 0
1 3 2
0 0 3
0 2 2
10 6
0 1 0
0 1 1
0 0 1
0 0 0
0 1 2
0 0 2
2 1 0
1 0 0
1 2 2
1 1 0
10 5
3 3 1
2 0 3
4 1 0
3 4 0
3 3 4
0 2 3
2 0 2
1 4 4
4 1 2
3 3 3
10 7
0 1 2
0 3 1
2 3 2
2 3 1
3 2 3
3 1 0
3 3 2
3 0 1
3 0 3
1 1 2
10 4
3 3 1
0 3 2
3 3 3
1 1 1
0 3 3
3 1 0
3 0 1
1 3 3
0 2 2
1 1 3
10 3
0 3 3
1 0 1
2 3 1
0 1 0
2 2 3
2 3 0
0 3 2
1 1 3
0 0 2
2 1 2
10 2
3 3 0
2 0 1
1 1 0
2 0 3
1 0 2
1 3 1
1 2 1
0 1 0
2 1 3
0 3 1
10 9
1 3 4
2 0 2
2 3 2
4 3 3
2 0 0
0 4 3
1 3 0
4 1 1
2 1 3
3 1 2
10 7
2 3 1
0 0 0
0 2 2
1 0 3
0 1 0
3 3 0
3 2 2
0 2 0
1 1 1
2 1 3
10 2
2 2 2
1 0 2
1 2 0
0 2 2
2 2 1
0 2 0
1 1 2
2 1 0
0 1 2
2 0 1
10 4
0 0 2
0 0 0
2 0 2
2 2 2
2 0 0
1 2 1
2 1 1
1 0 0
0 2 2
0 2 0
10 8
4 3 1
0 3 1
3 4 0
3 3 2
3 1 3
0 3 2
4 2 0
3 0 4
3 1 1
1 4 1
10 8
0 1 2
0 2 1
0 3 2
3 1 1
1 3 3
3 0 1
3 0 0
3 2 0
1 1 1
3 1 0
10 4
2 3 2
1 3 0
1 0 4
3 2 2
2 4 2
0 1 1
3 2 1
1 2 0
3 1 4
4 0 3
10 6
0 1 1
0 2 3
0 1 2
1 1 3
1 1 2
1 1 1
1 3 3
2 1 2
1 1 0
1 2 0
10 2
2 1 1
0 2 1
1 2 0
2 0 2
2 0 0
0 0 2
1 0 0
1 1 0
1 1 1
2 1 2
10 4
2 1 0
1 1 1
1 0 1
2 1 1
1 1 0
2 2 1
1 2 0
2 2 2
1 0 2
2 0 0
10 9
4 3 3
0 5 5
4 4 2
1 0 0
0 2 0
5 5 5
2 0 1
0 2 5
4 0 2
1 1 4
10 5
0 3 2
2 1 1
3 0 0
1 2 1
1 1 3
0 0 1
3 1 2
2 0 0
2 1 2
1 2 3
10 6
0 0 2
0 1 2
1 0 1
1 1 2
2 0 1
1 1 1
1 2 1
1 2 0
2 0 0
2 2 2
10 6
0 1 1
1 2 2
1 2 1
1 2 0
1 0 2
2 0 2
0 0 1
0 1 0
1 0 1
0 0 0
10 2
1 0 2
2 2 0
3 2 3
1 3 0
1 0 0
0 3 3
0 1 0
1 1 1
2 3 0
0 1 1
10 9
1 1 3
0 2 1
3 0 2
1 5 4
0 4 1
5 3 0
1 3 3
3 1 3
2 1 0
3 0 1
10 9
2 1 3
0 1 1
1 0 1
0 0 3
3 1 2
2 2 3
0 3 2
1 3 3
2 0 3
3 1 3
10 6
3 5 3
4 3 1
5 1 2
5 4 1
5 5 4
1 3 4
1 0 1
1 3 0
0 5 1
2 3 4
10 6
1 1 0
2 3 2
2 1 1
2 1 2
0 0 1
1 2 3
1 0 1
3 1 3
3 2 3
1 2 1
10 7
2 3 0
1 2 3
2 2 2
3 0 3
2 1 2
0 1 1
0 0 0
3 1 1
0 2 0
1 1 1
10 2
4 4 4
3 2 1
0 4 4
2 4 2
0 2 1
3 4 1
2 2 4
4 0 0
0 4 0
3 3 0
10 4
3 2 3
2 2 0
1 2 1
2 2 2
1 1 2
0 1 1
2 0 3
1 3 3
0 2 3
0 2 1
10 3
0 0 2
3 0 4
3 1 1
1 0 1
3 0 1
2 4 0
3 3 2
0 1 1
4 0 4
3 4 4
10 9
3 4 2
4 4 2
3 0 3
3 1 2
1 2 3
3 0 2
3 4 0
4 0 2
2 3 3
4 0 1
10 4
2 3 2
1 0 3
0 3 3
0 1 4
1 3 4
0 2 2
0 3 0
4 4 2
1 4 1
0 1 0
10 8
0 0 1
0 4 0
2 3 2
2 0 0
2 4 4
4 3 2
1 4 4
1 1 1
2 3 0
4 1 2
10 4
0 1 0
1 2 1
0 0 0
0 0 1
0 1 1
1 2 0
2 1 2
2 1 0
2 2 2
0 2 1
10 3
0 0 1
0 2 3
2 2 2
4 4 4
2 4 0
3 1 1
4 2 2
3 0 0
1 1 3
2 4 1
10 3
0 0 2
2 1 2
1 0 0
0 0 0
2 0 0
0 1 2
0 2 2
2 2 1
2 2 0
2 1 1
10 8
1 2 1
3 3 3
2 0 3
3 1 2
3 1 0
3 3 2
1 0 0
2 0 2
2 1 3
3 3 1
10 4
1 0 5
0 4 5
2 3 0
1 0 2
0 1 2
3 1 4
5 1 5
0 5 0
5 2 2
2 1 0
10 2
4 1 1
2 0 2
0 3 0
0 1 1
0 1 4
2 0 0
1 4 1
3 3 1
2 2 1
1 2 1
10 7
0 2 2
1 1 1
3 2 1
3 3 1
0 3 1
1 0 1
0 3 2
1 3 3
2 1 0
3 3 2
10 2
1 3 0
3 1 2
0 1 3
2 0 2
3 3 3
3 1 0
1 2 3
3 0 3
3 3 1
1 0 3
10 3
2 2 4
4 0 4
3 3 2
4 4 1
1 4 2
2 4 4
2 0 3
4 2 4
0 3 2
0 1 2
10 9
3 4 2
0 2 5
5 2 5
3 4 1
2 1 0
1 5 2
0 4 0
0 2 0
2 0 4
5 1 1
10 3
1 4 4
0 0 1
1 2 2
1 2 0
0 0 0
1 2 1
2 3 3
3 1 4
0 1 4
4 0 4
10 4
3 0 3
2 0 2
0 2 0
1 1 1
2 1 0
2 0 0
0 0 1
1 3 3
2 3 3
0 3 1
10 4
2 0 1
2 0 2
2 2 2
1 2 0
1 1 1
2 2 1
1 1 0
1 2 1
2 1 2
1 1 2
10 7
1 4 3
3 3 0
1 3 4
2 2 4
2 3 2
0 2 3
2 0 2
3 1 2
1 2 1
1 1 0
10 4
1 1 0
1 3 1
2 1 0
3 1 3
2 2 3
0 0 0
2 3 3
3 0 0
2 0 3
1 2 2
10 9
2 2 3
0 4 0
0 4 3
3 3 4
3 0 3
1 4 4
4 1 3
4 4 0
1 1 0
1 2 3
10 4
2 4 1
1 4 4
1 1 1
4 3 2
4 1 3
3 1 0
3 1 3
0 2 2
4 3 4
2 2 2
10 4
2 1 2
0 1 1
1 2 0
0 0 1
0 2 2
1 0 0
2 2 2
0 1 2
1 1 1
0 2 1
10 3
2 1 2
0 0 1
0 1 1
1 1 2
2 0 1
2 1 0
1 1 1
0 2 2
2 0 2
2 1 1
10 9
1 2 2
1 3 1
1 2 3
1 4 4
1 1 4
1 1 0
0 2 4
2 3 0
0 1 0
2 1 1
10 8
4 5 1
4 2 4
4 3 2
3 5 4
3 2 4
5 3 1
4 5 0
2 4 5
1 0 1
1 0 0
10 4
2 1 2
1 0 1
3 2 3
0 2 0
2 3 3
3 1 3
0 0 1
2 1 3
0 3 3
1 2 1
10 9
4 0 0
2 0 5
2 5 2
5 5 3
3 4 3
4 3 3
2 2 0
5 4 3
1 4 1
3 3 2
10 3
0 4 3
0 2 0
0 3 1
4 3 2
0 3 0
0 3 4
4 2 0
3 3 1
1 3 3
0 2 4
10 4
0 3 1
0 4 0
1 3 1
3 3 1
1 3 2
2 2 0
4 0 0
1 4 1
3 2 3
4 2 3
10 4
1 3 1
3 1 3
0 0 1
3 2 2
0 0 2
3 0 3
2 3 1
1 3 0
2 0 0
0 3 0
10 3
3 1 0
1 3 3
2 3 0
1 0 0
2 3 2
1 1 2
0 0 0
2 2 2
0 3 1
1 2 3
10 3
1 0 1
0 2 2
1 0 2
0 2 0
2 0 2
1 2 1
2 2 2
2 2 0
0 1 2
0 2 1
10 4
4 2 0
2 4 0
2 1 2
2 0 5
2 0 1
3 2 3
1 3 0
0 3 5
0 0 5
0 2 0
10 3
4 1 0
4 1 4
0 1 3
3 3 1
3 0 3
2 1 4
0 4 2
4 3 3
4 1 3
2 1 0
10 5
0 0 0
0 2 0
2 2 1
1 0 2
2 1 1
1 2 2
0 0 1
2 2 0
1 0 0
1 1 1
10 9
1 0 0
0 1 2
3 2 2
0 0 0
2 0 0
1 4 3
3 4 2
4 0 2
0 4 4
1 2 4
10 6
0 0 0
4 0 1
5 4 5
5 0 4
4 1 5
3 2 1
0 1 5
4 1 4
5 3 4
5 2 4
10 9
1 1 0
2 2 3
0 3 2
3 0 0
2 2 1
1 1 1
0 2 1
2 1 3
2 1 0
3 2 0
10 7
4 4 5
0 1 3
1 5 2
3 5 3
1 4 5
2 2 0
0 2 1
1 5 4
1 0 4
5 5 0
10 3
3 1 4
1 1 1
2 1 3
0 2 4
1 4 4
4 0 3
0 1 3
2 2 3
2 0 0
4 1 1
10 4
1 1 1
0 0 2
1 0 2
1 1 0
0 0 1
0 1 1
1 2 1
0 2 0
0 0 0
0 1 2
10 8
2 0 3
0 2 3
5 5 2
5 3 1
5 2 1
2 4 3
3 4 5
1 4 2
5 0 1
5 1 0
10 5
3 3 2
1 1 2
1 0 4
0 4 0
2 3 4
0 2 0
0 3 1
3 1 3
3 3 0
0 3 2
10 5
1 0 0
1 0 3
3 1 1
1 3 3
3 1 0
3 2 0
1 2 3
1 1 3
2 1 0
2 2 1
10 3
4 3 4
4 1 0
3 1 5
5 0 2
4 4 3
2 2 2
5 3 5
2 2 3
2 2 1
3 0 0
10 5
1 3 2
1 0 0
0 3 2
2 2 0
3 3 0
3 2 1
2 1 1
1 3 0
0 3 1
2 2 3
10 9
1 3 2
3 2 1
1 4 2
0 3 4
1 0 1
0 2 1
4 0 2
4 1 4
3 0 1
2 0 0
10 3
1 2 4
0 4 4
3 4 2
3 2 4
0 2 0
0 1 2
1 1 0
3 1 1
4 3 2
1 3 4
10 2
1 1 1
2 2 0
1 1 0
0 2 0
0 0 1
1 2 2
1 0 0
2 0 2
0 1 1
2 2 1
10 7
2 2 1
2 3 0
0 2 1
1 4 0
4 3 2
1 2 0
0 4 2
0 4 1
2 1 0
4 4 1
10 4
1 0 4
1 0 1
0 2 0
2 3 3
0 0 2
1 1 1
2 1 1
4 0 0
1 1 2
0 1 3
10 6
3 5 1
1 5 4
5 0 4
5 1 4
0 3 2
4 2 3
3 3 1
5 3 3
1 0 3
0 5 0
10 4
4 0 4
0 2 1
2 1 0
2 0 2
2 4 3
0 0 0
1 1 1
1 2 4
0 2 3
1 3 4
10 9
4 4 3
4 4 0
0 4 4
2 1 2
1 2 4
3 0 0
2 2 2
4 1 1
4 0 2
2 3 0
10 5
2 2 2
0 0 2
2 0 1
1 2 0
1 1 2
0 1 1
2 2 1
0 0 1
2 2 0
0 1 2
10 5
0 2 0
2 0 0
0 0 0
1 2 1
2 2 0
0 2 2
2 1 0
1 2 2
2 1 1
2 1 2
10 9
3 5 0
4 3 2
4 0 3
1 3 0
1 1 5
0 5 5
5 2 4
2 3 5
2 2 1
4 5 3
10 5
1 4 2
3 4 0
1 2 1
4 2 3
3 2 1
0 3 0
0 3 3
0 3 1
0 1 4
4 1 0
10 6
2 0 2
2 0 1
2 0 3
2 3 2
1 2 2
2 2 2
1 3 3
3 1 1
1 1 1
0 3 2
10 9
1 0 1
2 0 2
2 2 0
0 0 2
2 0 0
0 1 0
1 2 0
2 0 1
2 1 0
0 2 2
10 5
3 0 1
0 3 1
3 3 3
0 0 0
3 3 1
2 0 0
0 0 3
0 3 3
2 3 2
3 1 1
10 4
2 2 3
2 0 1
3 3 0
1 2 0
2 3 1
1 1 0
3 1 2
0 0 1
2 0 0
1 1 1
10 3
4 5 2
5 1 4
5 4 2
5 2 0
0 4 2
1 3 4
4 0 0
2 4 0
1 4 4
2 5 2
10 6
0 0 2
1 1 1
2 2 2
2 2 0
1 0 1
0 1 0
0 1 1
2 1 1
2 0 1
1 2 1
10 7
5 1 5
1 2 1
3 3 0
2 0 0
1 5 2
1 1 1
5 5 4
3 3 3
1 2 0
2 4 2
10 4
5 4 4
4 1 5
3 1 2
2 2 5
4 0 3
5 5 4
0 4 2
4 3 2
3 1 3
1 0 4
10 6
2 1 1
1 0 0
0 0 1
1 1 0
1 1 2
1 2 1
2 2 1
2 0 0
0 1 0
2 1 2
10 2
1 0 2
1 2 0
2 2 1
0 0 0
1 0 1
1 1 0
0 1 0
0 1 2
2 2 2
2 0 1
10 4
1 3 0
0 0 0
0 1 2
3 0 2
1 2 2
2 3 1
1 1 3
2 0 3
2 1 2
1 1 1
10 7
0 1 4
1 0 4
1 3 3
3 1 0
4 1 4
3 3 0
3 0 0
1 1 0
3 1 2
4 0 1
10 2
0 1 2
1 1 0
0 1 0
0 2 1
2 1 1
0 0 1
1 0 0
2 2 0
0 2 0
1 2 0
10 3
4 1 1
2 4 0
1 2 0
5 3 5
2 0 2
3 2 2
0 3 0
3 1 4
0 4 1
1 0 1
10 5
2 3 0
5 0 3
5 5 1
1 4 2
4 4 4
2 3 1
4 4 2
4 3 1
2 3 4
5 0 0
10 7
1 1 0
4 4 3
1 4 0
0 4 1
0 3 1
2 0 2
3 2 0
3 0 0
1 4 1
4 2 2
10 3
3 1 4
0 0 4
2 1 3
2 0 1
0 2 1
3 3 4
4 1 1
1 0 3
3 3 0
4 3 4
10 3
0 2 4
0 3 1
2 2 0
4 3 1
1 2 4
0 2 0
3 0 0
4 0 1
4 3 4
4 1 2
10 6
4 0 1
3 4 2
0 3 0
1 4 0
2 1 0
1 2 3
2 4 2
1 3 2
0 4 1
4 4 0
10 9
0 2 0
0 3 0
2 0 0
0 0 2
3 1 3
2 2 2
0 0 0
3 2 3
1 2 1
3 2 1
10 5
1 1 2
2 0 0
4 2 4
2 3 0
2 4 2
3 3 1
0 4 2
2 1 3
4 0 0
3 4 3
10 5
2 2 1
0 1 2
2 2 2
1 2 0
0 0 2
1 0 2
0 1 1
2 1 2
2 1 0
2 2 0
10 5
0 2 1
1 1 0
2 0 1
1 2 0
1 1 2
2 2 0
1 0 0
0 0 2
1 2 2
0 1 0
10 4
4 2 0
3 4 2
3 3 2
2 2 4
0 1 2
1 3 3
0 2 2
4 0 4
3 3 0
3 2 0
10 2
1 1 5
4 3 2
4 2 5
0 3 2
2 3 3
4 0 2
1 1 3
0 3 3
3 4 0
4 2 1
10 4
5 1 3
3 0 5
0 2 2
3 0 1
1 4 2
5 5 3
4 4 1
2 2 4
3 2 1
5 3 0
10 7
0 0 2
2 2 1
2 0 0
2 2 0
1 2 2
0 1 1
0 2 1
0 0 0
1 0 2
1 1 2
10 6
4 4 1
0 1 0
2 3 1
2 2 4
0 4 1
0 0 3
0 4 4
4 4 4
3 3 1
4 3 3
10 8
2 1 1
1 0 1
2 1 0
0 0 2
2 0 2
0 2 0
1 0 0
1 1 1
1 2 2
2 2 2
10 7
3 0 2
2 1 2
5 5 1
0 2 0
5 4 0
3 1 5
3 5 3
0 5 0
4 1 3
4 3 1
10 3
2 0 1
1 2 2
2 0 2
1 0 1
2 1 1
2 2 1
1 0 0
2 2 2
1 2 0
1 0 2
10 8
3 1 0
3 1 3
2 1 2
3 1 2
0 0 0
3 2 2
0 0 2
2 3 3
0 2 2
1 3 1
10 3
3 0 5
2 5 4
3 1 4
0 2 3
1 3 0
0 5 1
4 5 1
0 3 5
4 1 0
1 4 5
10 3
1 1 3
2 0 3
3 3 1
1 2 2
2 2 2
2 0 0
1 0 0
0 0 3
3 3 2
2 3 0
10 9
3 4 2
0 4 2
4 0 1
3 4 0
3 0 1
1 4 0
2 4 1
2 3 3
4 2 2
4 0 2
10 3
4 0 1
0 0 1
0 1 3
0 2 0
1 4 0
3 4 4
2 2 0
2 4 1
3 0 0
0 1 4
10 9
2 1 1
0 2 0
1 1 1
1 2 2
1 2 1
0 2 2
0 1 2
2 1 2
0 1 1
1 2 0
10 3
1 5 0
1 0 3
3 0 1
1 2 5
3 2 2
3 5 3
2 0 4
4 3 0
2 1 5
1 2 2
10 8
2 1 1
2 2 1
1 0 1
0 2 2
2 0 2
2 0 1
1 1 1
0 0 1
2 0 0
2 1 0
10 5
5 3 1
3 0 1
0 4 0
2 2 2
0 4 1
2 1 0
2 3 0
1 4 2
3 5 0
3 3 0
10 6
1 2 3
2 4 4
1 3 2
4 0 0
1 1 4
3 0 4
2 3 0
5 5 1
0 4 4
4 5 1
10 8
2 1 2
2 0 2
1 1 2
2 1 1
0 0 0
2 2 1
2 2 0
0 2 0
2 0 0
0 0 2
10 5
1 1 1
2 2 0
0 1 2
0 0 2
0 2 0
1 0 2
1 1 0
2 0 1
2 1 1
0 0 1
10 6
4 2 4
5 3 4
5 2 3
2 1 4
3 4 3
2 4 1
4 3 0
1 4 2
3 0 2
1 5 3
10 5
4 4 2
2 4 2
4 1 2
1 0 2
3 3 1
2 2 0
3 2 0
3 3 4
0 2 0
0 1 4
10 7
1 2 0
4 0 4
1 4 4
0 1 3
4 2 2
4 4 2
4 4 1
1 1 1
2 0 4
0 1 2
10 5
2 0 1
0 1 2
0 0 2
1 1 0
1 1 1
2 0 0
2 2 0
1 2 2
0 1 1
0 2 2
10 3
1 1 0
2 2 2
2 1 2
2 2 0
0 0 2
2 1 0
2 0 1
2 1 1
2 0 2
1 1 2
10 8
2 2 0
3 3 2
2 0 3
1 0 1
2 2 2
0 3 0
2 0 0
1 1 0
3 2 0
0 0 3
10 9
0 0 2
1 3 2
1 3 1
1 1 3
0 1 0
2 0 3
2 1 0
3 2 1
1 2 2
1 2 3
10 4
2 0 3
1 1 2
2 0 0
0 0 3
1 0 1
0 3 1
0 0 0
1 1 3
3 0 3
1 1 0
10 2
0 0 0
5 2 2
2 0 1
2 2 5
4 5 0
0 3 2
5 3 1
5 3 4
5 1 1
1 2 4
10 6
3 0 5
1 4 0
0 2 3
4 5 2
5 0 1
4 1 5
5 5 0
4 3 0
1 0 3
2 1 1
10 7
0 2 0
3 4 2
3 4 1
3 1 1
4 2 3
1 4 2
2 3 4
4 0 0
1 3 3
1 2 4
10 4
3 2 0
1 3 2
3 0 4
3 0 0
2 0 3
3 1 2
2 4 2
0 0 4
1 3 1
2 4 3
10 9
1 3 2
1 2 1
3 2 3
1 3 1
1 3 3
0 2 3
2 3 3
3 3 3
0 1 3
3 2 1
10 8
4 0 4
2 3 1
0 1 1
0 1 3
4 4 1
3 3 4
2 2 4
1 4 4
4 0 3
2 4 0
10 4
2 1 2
1 0 0
3 2 0
0 3 3
2 3 1
0 2 1
0 3 1
0 1 3
1 3 0
2 1 1
10 7
3 0 1
2 3 1
5 3 2
4 0 5
0 4 4
4 1 2
4 1 3
3 4 0
4 5 3
1 2 1
10 2
0 0 4
3 1 2
1 4 0
3 4 2
4 0 3
0 4 0
3 0 2
2 1 4
2 4 0
0 0 2
10 9
0 1 1
1 1 0
1 1 2
1 1 1
0 2 2
2 0 2
2 2 1
0 0 0
1 0 0
2 2 0
10 7
0 2 2
5 5 3
2 3 4
5 1 0
4 2 1
0 0 2
3 2 1
1 0 4
0 1 5
5 3 0
10 7
1 0 0
1 1 1
3 2 4
2 4 3
4 2 2
4 4 0
2 3 3
4 4 4
3 0 1
0 1 2
10 7
4 1 4
3 2 0
0 0 1
2 0 2
4 2 1
3 1 1
2 0 3
3 3 0
0 3 2
1 4 3
10 3
1 2 2
2 0 3
1 3 1
0 1 1
1 0 3
1 2 0
0 1 2
3 0 2
3 3 2
2 3 1
10 2
1 0 0
0 0 2
1 3 0
3 1 0
2 2 1
3 1 2
3 0 2
2 0 0
0 0 1
2 1 1
10 2
1 0 3
1 4 5
4 3 2
1 5 2
1 3 5
1 1 3
0 0 1
4 1 1
5 0 2
2 4 5
10 8
0 2 0
2 2 1
1 1 2
1 0 1
2 1 0
2 1 2
0 1 2
0 1 1
1 1 1
0 0 2
10 3
2 1 1
1 2 0
0 1 0
0 0 0
2 0 1
2 2 1
2 2 0
0 1 1
2 1 0
0 1 2
10 7
2 3 0
3 0 3
4 2 0
3 4 1
0 4 5
2 4 3
4 3 5
1 3 1
2 5 4
4 5 3
10 3
2 1 2
3 2 3
0 1 2
2 2 1
2 1 1
0 0 1
1 2 0
2 3 3
2 2 2
3 0 2
10 8
1 1 2
0 0 1
2 3 1
0 1 0
1 0 2
0 0 2
3 2 0
0 0 3
3 0 0
2 0 0
10 5
0 1 0
2 2 2
1 0 0
2 0 1
2 1 1
1 1 1
1 2 1
0 0 2
2 1 2
0 0 1
10 3
1 3 0
1 1 2
2 1 3
2 2 2
3 3 3
0 3 2
3 3 1
2 0 3
2 0 1
0 2 1
10 6
3 2 2
0 1 0
1 4 3
4 0 3
3 0 1
1 0 1
2 4 1
1 3 3
2 4 0
2 4 2
10 6
2 2 1
2 0 0
1 1 1
1 0 1
0 0 2
1 2 2
1 1 0
2 1 2
0 1 0
2 1 0
10 8
0 1 0
3 0 0
0 1 2
3 3 3
3 2 1
3 0 1
1 0 1
0 2 3
0 0 0
1 2 1
10 7
1 2 2
2 1 3
0 0 3
0 1 3
4 3 1
0 4 2
3 4 3
2 1 2
0 2 1
4 4 4
10 6
4 1 4
4 3 0
3 3 0
2 1 2
2 3 4
3 2 4
3 2 0
0 2 3
0 0 0
4 4 0
10 4
1 1 1
3 5 3
5 4 5
2 3 4
0 4 2
4 3 2
3 0 5
4 2 3
1 0 5
1 3 2
10 4
2 0 2
1 1 0
1 1 1
2 1 2
1 0 2
2 0 1
0 2 2
0 1 1
2 1 0
0 0 2
10 3
0 2 3
2 1 4
1 4 4
0 0 0
1 4 1
1 1 3
4 3 4
1 0 3
4 0 1
1 3 3
10 2
2 3 1
1 0 0
1 1 2
2 3 3
1 3 0
2 1 0
1 2 2
2 0 1
0 0 2
2 0 2
10 6
1 2 2
0 2 0
1 3 0
1 2 0
2 2 0
0 0 3
3 0 2
3 3 1
3 1 2
1 1 1
10 4
0 2 2
0 3 0
0 3 2
3 4 1
0 3 3
4 0 0
2 1 0
4 2 3
1 4 2
0 2 1
10 8
4 1 1
0 0 1
4 2 0
4 1 2
2 4 3
4 3 1
1 3 0
2 0 1
1 2 2
0 1 0
10 5
0 0 1
1 3 3
0 2 2
0 1 0
3 1 2
2 0 1
0 1 3
2 1 2
1 2 1
0 3 1
10 8
5 5 1
3 2 5
3 1 3
2 5 4
1 3 2
2 4 4
0 3 0
2 0 2
4 5 4
4 4 1
10 2
0 4 4
1 4 0
1 4 4
4 5 5
1 2 2
0 4 2
4 1 5
1 5 2
4 1 3
4 0 1
10 3
2 4 2
3 3 1
0 4 1
3 0 0
3 1 4
2 3 4
0 2 4
4 1 3
4 0 1
1 2 3
10 5
0 2 0
0 1 2
0 1 0
1 0 2
0 0 1
0 0 2
1 1 1
0 2 1
2 0 1
1 2 1
10 3
2 2 3
2 3 4
3 1 1
0 4 2
0 2 4
1 1 2
2 1 4
1 3 1
4 0 4
2 2 2
10 5
5 4 0
4 4 4
3 3 4
0 3 5
0 4 3
4 4 2
0 3 1
2 5 0
1 2 1
0 1 0
10 8
4 4 3
0 2 2
0 2 3
0 4 4
4 1 3
1 3 0
1 0 1
3 0 2
4 2 2
0 0 0
10 6
5 0 4
5 0 2
1 3 4
4 1 2
5 2 0
5 2 5
1 3 5
1 3 1
4 2 3
0 4 1
10 5
4 1 4
1 4 0
4 4 1
0 1 0
2 4 5
5 3 1
4 4 3
2 5 0
3 4 4
0 0 1
10 9
2 3 5
4 1 3
3 1 5
2 5 1
4 3 3
0 2 5
0 2 4
5 2 0
1 4 2
1 0 3
10 2
2 0 1
1 1 2
0 2 1
2 0 2
0 0 2
2 1 1
1 1 1
0 1 2
2 2 2
0 2 0
10 5
2 2 1
0 0 1
2 2 0
2 1 2
0 2 0
0 0 0
1 0 0
2 2 2
0 2 1
2 0 1
10 5
0 3 0
0 0 0
3 1 1
2 3 3
2 1 0
2 2 3
2 2 1
1 1 3
0 1 0
3 0 3
10 4
0 1 3
3 1 1
3 0 4
0 1 4
3 4 1
3 2 1
3 0 3
1 0 2
3 3 1
1 1 1
10 6
0 4 3
3 1 3
3 1 0
4 2 0
4 4 0
4 0 0
2 1 3
4 2 2
4 0 2
3 3 2
10 6
2 2 1
2 1 1
2 0 2
0 2 1
2 0 1
2 0 0
2 1 0
1 0 2
1 0 0
2 2 0
10 7
2 0 0
3 3 0
1 2 1
0 2 3
0 2 0
2 0 2
0 2 1
3 0 3
3 1 0
0 1 0
10 8
2 1 1
0 0 2
2 1 2
0 2 1
1 1 1
0 1 2
2 0 2
2 2 1
1 1 2
1 2 0
10 8
1 3 3
1 1 0
3 0 2
3 3 3
2 0 1
3 3 0
1 3 0
0 2 2
3 2 3
3 2 1
10 5
0 1 0
1 0 1
1 3 0
3 3 1
3 0 1
1 2 0
1 2 3
3 0 2
2 1 3
0 3 1
10 6
4 1 1
4 1 4
4 3 2
0 2 1
3 0 4
1 3 1
0 4 3
1 0 2
2 4 3
1 0 1
10 3
0 1 2
2 2 1
2 1 2
0 2 1
0 0 2
2 0 1
0 1 1
0 0 1
2 2 2
1 0 0
10 3
5 1 2
2 5 1
1 5 2
1 5 4
0 4 2
0 1 5
4 1 0
1 4 3
0 0 3
3 5 5
10 5
1 1 1
0 2 0
2 1 1
0 2 2
1 2 1
1 0 1
2 1 2
0 0 2
2 2 2
0 2 1
10 6
0 0 0
1 0 2
1 2 2
2 2 2
0 2 2
0 0 2
1 1 2
0 1 2
2 0 1
2 1 0
10 6
5 2 5
3 3 2
4 3 3
4 5 1
0 4 5
1 0 2
2 3 5
5 5 5
0 1 5
5 1 4
10 7
1 1 2
1 0 2
2 0 1
1 1 0
0 1 2
0 2 1
2 2 2
2 2 1
2 1 0
1 2 1
10 2
0 2 2
2 0 1
2 0 0
1 0 1
0 1 0
1 1 2
1 0 2
1 2 0
2 2 1
2 0 2
10 4
2 1 4
0 4 2
2 1 2
1 1 0
3 1 3
0 2 0
3 2 2
3 3 0
1 3 1
0 1 0
10 8
2 2 1
3 2 4
4 0 0
4 3 3
3 4 4
4 0 1
1 3 4
4 3 2
1 1 0
0 4 4
10 9
1 0 2
2 0 1
1 1 2
1 2 2
1 1 0
2 1 1
1 0 1
2 1 0
0 0 0
2 2 1
10 8
3 0 2
3 2 1
0 3 0
2 3 3
3 4 2
0 0 4
3 0 0
2 1 2
2 4 4
0 3 3
10 2
0 0 2
0 1 0
1 1 1
0 2 0
2 1 2
1 2 1
1 0 0
0 0 0
0 0 1
0 2 2
10 7
4 2 3
4 4 0
2 0 1
1 1 0
3 0 4
2 2 1
4 3 1
4 3 3
4 4 3
0 1 3
10 4
0 2 1
1 2 2
3 0 3
1 2 1
0 3 1
0 3 2
0 0 0
1 0 1
0 0 3
0 3 0
10 8
4 2 3
4 0 3
2 4 4
2 1 1
2 4 1
1 2 2
0 4 2
3 0 4
4 3 1
3 3 4
10 6
1 2 1
1 1 2
4 0 2
5 3 4
1 1 3
4 2 3
3 4 3
2 4 4
4 1 1
3 3 3
10 3
0 2 2
0 0 0
2 2 2
2 0 1
2 2 0
0 1 2
1 1 1
2 1 2
2 2 1
1 2 0
10 6
0 0 0
1 1 0
2 1 2
2 2 0
1 0 2
0 1 1
0 2 0
2 0 0
2 1 0
1 0 1
10 3
5 3 0
5 1 1
0 1 3
0 0 4
3 1 3
3 2 0
4 1 1
2 4 1
2 0 3
4 0 3
10 5
2 2 0
1 1 0
2 1 0
0 0 0
2 0 0
2 0 1
2 2 1
0 0 1
0 2 2
1 2 0
10 3
4 0 1
3 0 4
2 3 2
0 3 4
3 2 4
4 3 2
1 3 4
4 0 4
1 1 0
0 3 2
10 6
2 2 3
1 3 4
4 0 0
2 1 2
4 3 1
0 2 2
3 3 4
3 0 0
4 4 4
2 0 3
10 4
0 0 1
5 4 1
3 1 5
1 4 5
5 4 5
2 5 5
0 5 1
5 4 0
2 3 5
0 1 3
10 3
0 0 0
0 1 4
1 4 1
1 5 5
4 1 3
1 3 3
1 0 1
0 5 5
5 2 1
2 0 4
10 7
1 2 0
1 1 0
2 0 1
2 1 0
1 2 1
2 2 0
0 2 2
0 1 1
2 0 2
2 2 2
10 6
1 2 0
0 0 1
0 2 0
1 0 1
3 2 3
0 2 1
2 2 3
3 1 0
2 3 2
0 3 0
10 6
1 2 2
2 0 0
2 0 1
0 0 0
2 1 2
0 2 1
2 1 0
2 2 1
1 0 0
0 2 2
10 3
3 3 2
3 0 0
2 2 1
3 2 3
3 3 0
2 3 2
1 0 2
2 2 2
3 2 0
1 3 0
10 3
3 5 4
0 1 2
5 5 4
1 0 5
3 3 5
1 3 5
3 0 0
0 2 1
0 5 2
4 4 4
10 8
2 2 1
1 0 2
0 1 0
1 2 2
1 1 0
2 2 2
2 1 1
1 1 1
2 0 1
1 1 2
10 5
0 2 3
2 3 0
1 3 3
2 1 2
2 2 0
3 3 3
1 3 0
2 1 3
2 0 2
0 3 3
10 6
2 2 0
1 0 1
1 1 2
2 0 2
0 0 0
1 2 0
2 0 1
1 1 0
1 0 0
1 2 2
10 2
1 2 0
1 3 0
3 1 2
0 4 5
1 1 5
3 2 0
5 1 5
5 5 1
1 0 1
0 2 1
10 4
0 2 1
2 1 1
3 0 0
3 1 0
2 0 2
3 0 3
0 2 3
2 3 0
3 3 1
1 2 3
10 6
2 2 2
1 1 0
0 2 2
2 0 1
1 2 1
2 1 1
2 2 1
0 0 1
2 0 2
0 2 0
10 5
0 0 2
2 0 1
2 1 0
1 1 1
1 2 0
1 0 0
0 2 1
2 2 1
2 0 0
0 0 0
10 5
2 3 0
2 5 4
3 5 1
1 3 5
3 2 0
3 5 2
0 5 5
1 4 3
3 4 0
5 0 4
10 9
1 0 0
0 1 0
0 1 1
1 1 0
2 0 0
2 0 1
1 1 2
0 0 1
2 1 1
2 0 2
10 6
0 0 2
3 0 3
2 1 3
1 3 3
3 1 1
1 2 0
2 3 0
2 3 2
0 1 0
1 0 1
10 6
4 3 2
3 5 0
2 3 3
3 0 4
5 2 5
1 3 4
4 5 5
1 1 4
4 2 5
0 5 2
10 4
4 2 5
0 3 2
2 0 4
1 4 1
4 2 1
5 3 1
0 3 4
5 5 1
0 5 0
2 5 0
10 9
0 1 1
1 2 0
2 0 1
1 0 1
1 1 0
0 1 2
1 2 1
2 1 0
2 2 0
2 1 1
10 4
3 1 3
0 3 2
3 0 4
0 4 0
0 0 2
3 2 2
2 3 0
3 3 2
3 3 3
3 2 0
10 3
0 0 1
0 3 0
0 2 2
1 0 2
0 3 3
3 0 2
1 2 0
3 3 2
0 3 1
3 2 0
10 5
2 2 1
3 0 1
0 1 1
0 3 1
0 2 0
2 0 3
1 1 2
1 3 2
2 1 3
2 1 2
10 3
1 1 2
1 1 0
1 2 0
2 0 0
0 2 2
1 0 1
0 2 1
2 1 0
1 0 2
2 2 1
10 3
3 4 3
0 0 3
0 4 0
0 4 4
3 2 0
1 1 4
4 0 0
4 3 2
3 3 4
3 2 4
10 9
1 3 2
3 2 2
1 2 1
2 2 2
1 1 0
1 0 3
3 3 0
0 3 2
3 1 1
2 2 1
10 6
0 3 3
0 0 1
0 3 0
3 1 2
3 0 1
0 2 3
0 2 2
0 3 2
0 1 2
2 3 2
10 7
3 2 1
2 0 3
0 2 3
0 0 3
3 2 3
1 2 2
2 0 1
1 0 2
2 3 3
0 1 1
10 7
2 5 3
0 2 1
4 0 0
5 3 3
0 4 3
5 2 5
1 5 4
0 2 2
1 4 1
2 2 0
10 3
0 3 3
0 0 3
2 0 0
0 3 0
1 0 0
3 3 2
1 1 2
2 2 3
3 0 2
0 1 0
10 2
3 0 1
1 2 0
0 1 1
0 3 0
0 2 1
3 1 2
3 3 0
1 2 3
2 1 2
1 0 3
10 6
3 0 2
0 2 0
2 0 4
3 3 1
4 3 1
1 0 1
4 4 0
1 2 0
0 4 2
4 0 1
10 8
1 2 1
1 0 0
0 2 0
0 1 0
2 2 1
1 2 0
2 0 0
2 1 2
0 2 2
2 1 1
10 2
2 1 0
3 3 2
2 0 0
5 1 3
4 1 4
0 4 2
3 0 5
5 4 5
5 5 4
3 5 4
10 6
0 2 0
1 3 2
1 1 3
3 2 2
0 1 0
3 0 3
1 2 3
0 3 0
0 3 2
2 1 3
10 6
5 0 1
5 3 5
2 5 0
3 1 4
5 0 5
3 0 0
1 3 2
2 3 1
5 0 2
1 4 0
10 7
4 5 4
0 3 4
1 0 3
5 3 0
3 5 4
3 2 3
4 3 1
1 2 3
2 5 4
3 1 4
10 5
3 1 5
0 0 1
2 5 2
3 4 1
1 2 4
2 5 5
0 0 2
2 0 3
0 3 2
4 5 1
10 6
1 0 0
0 0 1
1 1 1
0 2 2
0 1 1
0 1 2
2 2 2
2 0 1
0 0 2
1 2 0
10 2
0 2 2
2 3 2
3 0 1
0 0 2
2 3 3
0 1 2
1 1 0
2 0 1
2 2 0
2 1 1
10 4
2 0 5
0 0 3
5 1 1
2 1 2
5 2 0
0 3 5
0 2 2
0 5 5
0 4 2
3 5 3
10 3
1 2 3
0 1 3
0 3 2
3 2 0
1 1 3
2 1 1
3 0 3
1 1 0
3 3 3
1 2 2
10 3
0 1 2
1 3 2
2 1 2
3 3 3
3 3 1
3 1 2
3 2 1
3 2 0
0 1 1
0 0 1
10 3
2 4 4
5 5 4
4 3 3
0 2 2
4 1 4
3 3 0
1 4 3
3 0 1
1 0 3
0 5 1
10 7
4 0 1
3 4 3
3 0 3
3 2 2
4 1 0
0 2 2
0 1 0
3 3 3
1 0 0
0 2 1
10 3
4 4 1
2 4 3
0 5 2
3 1 0
4 3 0
0 1 1
5 1 0
3 0 1
2 1 0
4 4 3
10 8
0 4 5
2 0 1
5 3 2
1 0 4
1 5 3
5 5 5
5 5 3
2 0 4
0 4 0
3 3 5
10 8
2 1 2
0 2 2
1 2 2
0 1 2
0 2 1
2 1 1
2 0 2
1 2 0
1 0 0
2 0 0
10 8
3 0 2
2 3 2
1 0 0
0 3 5
4 2 2
4 5 3
2 4 3
0 2 5
2 0 5
2 2 2
10 9
1 1 0
1 0 3
2 1 2
0 1 3
1 2 1
2 3 2
1 1 2
3 0 2
1 0 0
2 1 0
10 6
5 4 2
4 0 0
3 1 3
2 2 0
1 0 5
4 3 3
0 3 1
3 5 4
0 2 1
2 4 3
10 9
1 5 1
4 5 4
4 3 1
3 1 5
5 5 4
4 3 2
4 0 2
1 5 0
4 3 4
5 1 1
10 4
5 3 0
4 5 2
2 4 3
3 1 2
5 1 1
2 3 4
5 3 4
5 5 3
4 1 3
0 3 5
10 3
1 1 0
2 0 0
2 2 0
2 0 1
2 0 2
1 0 0
0 2 2
2 1 1
0 1 1
0 0 2
10 8
0 0 0
2 2 1
2 2 0
0 1 0
1 1 2
2 0 2
1 2 2
0 2 0
2 1 2
0 0 2
10 4
5 0 2
4 2 4
1 4 2
3 1 1
5 1 2
3 4 1
5 2 3
1 3 3
1 3 1
1 5 0
10 3
1 2 2
1 0 2
0 0 1
1 1 1
1 2 1
2 1 2
0 0 2
1 2 0
0 1 2
0 1 0
10 9
2 1 0
4 1 1
4 1 0
1 1 0
0 2 4
3 3 1
0 3 3
3 1 2
4 0 0
4 0 3
10 2
3 0 3
4 0 2
3 2 2
0 1 1
1 1 4
3 1 0
3 0 2
3 2 0
2 4 4
1 0 0
10 9
3 1 3
2 1 0
3 4 3
0 4 2
3 0 3
2 0 2
0 2 0
1 2 0
4 3 0
0 2 4
10 4
2 1 1
1 0 1
0 0 0
2 1 0
2 0 2
0 1 1
0 2 0
1 1 1
1 0 0
0 0 1
10 9
2 0 2
0 0 2
1 2 0
0 0 0
2 1 0
1 1 1
2 1 2
0 2 2
1 0 2
1 1 2
10 6
2 1 1
2 3 3
0 3 1
0 2 0
2 0 3
1 1 2
1 1 1
3 1 2
1 3 1
3 0 2
10 6
3 1 1
2 2 2
1 3 4
0 4 4
4 3 3
1 3 3
0 4 2
1 1 0
0 1 3
1 0 2
10 8
2 2 1
2 1 2
2 0 1
2 2 0
0 0 0
1 0 0
0 0 1
1 0 1
2 0 0
1 1 0
10 3
4 5 4
0 2 1
4 1 3
1 2 0
3 2 0
3 4 1
5 1 1
2 3 1
4 4 0
3 0 1
10 9
0 3 3
3 3 0
2 1 3
3 0 0
1 3 1
2 1 0
3 0 1
2 0 3
0 3 2
1 0 1
10 5
1 2 2
2 1 3
0 2 0
2 3 0
1 2 0
3 1 0
3 0 1
3 2 2
3 0 3
2 0 2
10 3
2 0 0
2 2 1
2 1 2
0 0 1
0 2 2
2 0 1
0 1 1
1 1 1
1 0 2
1 0 0
10 7
1 1 4
2 4 0
5 3 0
2 0 2
1 4 0
4 4 5
5 3 1
1 5 5
2 0 1
5 4 0
10 7
0 5 2
0 1 4
2 0 2
3 1 2
5 3 2
1 5 4
4 1 1
1 3 5
3 4 1
2 2 5
10 8
3 2 3
0 2 3
1 0 0
3 3 1
3 0 3
0 3 3
2 1 1
1 2 0
3 3 2
2 2 1
10 4
1 3 2
2 3 3
1 3 0
1 2 1
1 0 1
3 2 2
3 0 1
3 1 3
3 0 2
3 3 2
10 3
0 4 2
4 0 2
1 0 0
3 2 3
4 2 0
1 4 2
2 1 2
4 1 3
3 0 1
2 2 2
10 4
2 0 1
0 2 0
1 4 0
3 3 1
1 1 4
4 1 1
3 1 3
3 0 1
3 2 3
4 3 1
10 3
0 3 2
0 0 1
3 2 1
3 1 2
2 1 1
3 2 2
2 3 3
0 3 1
0 1 0
1 2 2
10 5
2 3 1
2 0 0
3 3 0
3 0 2
1 0 0
0 2 0
3 1 0
3 0 1
3 1 3
2 3 2
10 8
1 2 1
1 3 3
0 3 0
4 1 0
1 1 2
4 3 2
4 4 1
3 0 1
3 3 2
0 4 2
10 8
1 1 2
3 0 0
1 1 3
0 1 0
2 0 0
0 0 0
0 3 1
0 2 2
0 2 1
2 1 3
10 5
1 4 0
1 5 5
2 2 1
5 0 2
2 1 5
3 4 4
0 3 4
5 2 3
1 4 1
1 5 2
10 3
4 4 0
3 3 4
1 2 2
0 0 2
5 3 4
5 0 3
4 0 5
4 0 1
4 4 4
3 3 1
10 5
5 2 4
5 3 3
0 3 5
2 3 2
2 4 1
4 0 3
2 1 2
2 2 3
4 2 4
5 4 2
10 2
2 0 0
1 1 1
1 0 2
0 0 0
0 1 2
0 0 1
1 2 1
0 1 0
2 2 1
0 0 2
10 5
3 2 2
0 4 1
5 4 5
4 2 0
2 3 2
0 0 1
3 4 4
3 1 1
5 1 3
2 4 0
10 6
2 1 2
2 1 3
2 3 1
0 3 2
0 3 3
3 0 2
3 4 3
1 4 3
2 3 4
4 4 1
10 6
0 2 2
1 2 2
2 2 1
2 1 0
0 0 2
2 0 0
0 2 1
1 0 1
0 1 0
2 2 0
10 3
0 5 5
4 3 5
3 4 0
2 3 0
1 1 5
2 3 2
3 0 4
4 1 5
3 4 2
1 1 3
10 9
0 2 1
2 0 0
2 1 2
1 1 0
1 0 2
0 0 0
1 0 0
2 1 0
0 1 1
0 1 2
10 3
0 0 1
0 2 0
0 0 0
2 2 0
2 1 2
1 1 2
2 2 1
0 2 1
2 0 2
2 0 1
10 6
0 2 0
3 2 0
0 3 4
0 4 1
0 3 1
4 3 0
0 1 0
1 1 0
3 1 4
0 1 4
10 7
5 0 5
0 3 2
4 0 4
4 4 1
5 2 0
3 5 4
5 4 4
5 5 1
2 5 0
3 3 2
10 4
2 2 5
5 5 3
1 2 2
3 4 1
3 0 3
2 5 4
5 1 3
1 3 4
1 1 4
0 3 2
10 2
2 2 1
0 0 1
2 1 1
1 0 2
2 0 1
0 1 2
1 1 2
2 1 0
1 2 2
1 1 0
10 6
2 1 1
3 2 0
2 0 2
1 1 0
3 3 3
0 0 0
3 2 2
3 3 2
1 2 1
0 2 1
10 7
0 0 1
2 0 1
1 0 2
2 0 2
0 0 2
2 2 2
2 2 0
2 1 2
2 0 0
1 1 0
10 6
3 1 1
2 3 3
3 2 1
3 3 2
1 1 3
0 2 2
2 3 0
1 0 0
0 1 3
1 0 1
10 5
2 2 2
2 2 1
0 1 0
2 0 0
2 0 1
0 0 2
2 0 2
0 2 2
2 1 2
1 1 1
10 2
4 4 4
0 3 4
2 2 3
4 3 0
1 3 0
4 3 2
1 3 3
3 4 3
1 2 3
4 0 4
10 6
1 0 0
0 0 2
1 2 1
2 2 1
0 0 0
0 1 2
1 1 2
0 2 0
0 0 1
2 2 2
10 7
0 1 4
0 3 1
4 1 2
1 4 0
3 2 1
0 2 1
0 0 2
0 3 2
0 0 0
3 4 4
10 7
3 5 1
1 2 0
2 5 3
5 2 1
5 2 3
5 1 1
0 3 3
5 4 5
3 1 3
2 5 4
10 8
4 2 0
0 3 4
3 3 4
1 1 0
3 4 2
4 0 3
0 1 3
4 3 2
3 0 2
0 2 0
10 2
0 0 2
0 2 2
0 1 1
1 2 1
0 2 1
0 1 0
2 0 2
0 1 2
1 0 2
2 0 1
10 4
2 2 0
0 2 2
2 2 2
1 0 1
0 1 3
1 0 3
1 1 1
2 3 2
3 0 3
2 3 3
10 5
2 2 1
1 0 1
0 0 1
2 2 0
0 1 2
1 1 2
2 1 2
0 2 2
0 1 0
2 1 0
10 9
0 2 0
1 3 1
2 3 2
3 2 0
1 2 0
0 0 3
0 3 3
0 1 0
1 1 2
0 0 0
10 6
0 3 0
3 5 2
3 3 3
2 1 5
1 2 5
0 5 2
4 2 2
1 3 1
1 5 4
1 3 0
10 8
0 1 0
2 0 0
0 2 1
0 2 0
1 0 0
0 2 2
2 0 2
0 0 0
1 0 1
1 2 0
10 8
1 2 0
0 1 0
2 2 2
2 2 1
1 2 2
0 1 1
0 0 1
2 1 2
1 0 2
2 0 2
10 4
2 0 0
1 1 2
0 2 0
0 1 1
1 0 2
2 2 0
1 2 0
0 1 2
0 0 0
1 2 1
10 9
0 1 3
0 0 2
0 0 0
1 3 3
3 2 1
0 3 1
0 0 3
2 0 0
1 3 2
2 3 2
10 8
3 4 2
3 4 4
4 1 4
2 0 1
1 0 4
2 4 3
0 3 2
2 1 2
0 4 2
1 1 2
10 2
3 0 2
3 0 0
0 3 3
3 2 1
2 1 3
3 3 3
2 2 3
3 1 3
3 1 0
3 2 3
10 3
5 0 1
1 5 1
2 2 2
3 3 3
0 0 5
2 5 5
4 2 4
2 4 2
1 2 2
4 3 4
10 8
2 2 0
1 2 1
0 2 0
0 0 0
0 1 0
0 1 1
2 1 1
0 0 1
2 0 2
2 2 2
10 4
2 2 4
1 1 2
0 2 2
1 3 4
2 2 2
1 1 1
4 2 3
1 2 0
2 4 4
2 1 0
10 4
1 1 1
0 3 1
1 0 3
0 3 3
2 2 2
0 0 2
2 3 3
1 3 1
2 0 1
3 1 3
10 3
3 0 1
1 0 4
2 2 2
1 0 2
0 3 3
4 0 3
3 2 2
0 3 4
1 2 4
1 4 0
10 5
0 1 0
1 0 2
2 0 1
0 2 2
0 0 2
1 2 1
1 1 2
0 2 1
2 2 0
1 1 1
10 6
1 0 2
3 2 4
1 3 3
1 2 3
0 2 0
4 4 3
2 4 3
4 1 4
1 3 1
0 1 1
10 6
1 1 3
1 0 3
1 2 3
2 3 1
3 0 3
0 2 1
3 3 3
2 3 3
3 1 2
0 0 1
10 6
3 0 4
1 2 3
2 4 1
4 1 2
0 0 2
1 0 2
1 1 0
0 3 2
3 4 2
4 3 0
10 6
0 3 1
0 0 2
1 0 5
0 3 5
5 0 4
3 5 4
1 2 1
1 1 3
2 1 4
4 1 1
10 7
2 2 2
2 0 1
0 1 0
0 2 0
1 0 2
2 0 0
0 2 1
1 2 0
2 2 0
1 1 2
10 4
1 0 0
1 0 1
1 1 2
2 0 1
0 2 2
2 1 0
0 2 1
1 1 0
0 1 0
1 1 1
10 4
5 5 0
5 5 5
0 3 2
2 4 1
5 5 3
3 2 4
2 0 3
3 0 1
5 3 1
0 2 1
10 7
2 1 1
3 4 4
1 4 3
3 2 0
2 0 3
4 0 3
0 0 2
3 4 2
0 3 1
0 2 0
10 3
5 3 4
0 2 3
1 5 5
4 2 3
2 2 2
3 2 5
0 5 5
2 1 4
1 4 2
0 1 0
10 7
3 2 1
0 1 4
4 0 4
1 2 1
4 4 0
1 3 0
4 1 1
4 3 4
0 3 0
2 1 4
10 3
3 1 1
0 2 2
1 1 2
3 0 1
0 3 2
0 3 0
2 3 2
0 1 3
1 3 3
0 0 0
10 6
1 0 2
0 4 2
1 1 3
2 3 4
3 2 5
1 2 1
3 4 4
5 0 1
3 0 0
2 0 1
10 7
1 2 0
0 1 0
0 0 2
0 2 1
1 1 0
2 0 1
1 0 0
0 2 2
2 0 2
2 2 2
10 8
1 0 3
1 2 3
2 2 1
3 2 1
2 2 3
3 3 0
3 2 3
3 3 1
0 0 3
3 0 0
10 4
1 3 3
0 0 0
0 1 0
1 2 3
2 4 2
4 1 4
1 1 0
4 3 4
4 1 2
1 2 4
10 3
1 1 2
0 2 1
2 2 0
1 2 2
2 1 0
2 1 1
1 2 0
0 2 2
0 0 2
0 0 1
10 5
5 3 3
0 3 1
4 3 4
2 0 5
5 0 3
1 2 4
5 2 2
1 5 3
2 3 3
4 4 2
10 8
2 2 0
2 0 0
0 1 2
2 0 2
1 2 0
0 2 0
1 2 1
2 0 1
2 1 0
1 1 1
10 2
3 4 3
0 2 4
4 2 4
3 4 1
2 4 3
4 4 4
4 3 4
4 1 0
4 3 0
3 1 4
10 3
1 4 3
5 4 0
5 2 5
1 0 2
5 3 2
1 2 5
1 0 0
1 2 4
1 3 4
0 2 3
10 7
2 2 2
0 1 1
0 0 2
0 1 0
1 1 2
0 2 1
1 2 0
2 1 0
0 0 1
1 0 1
10 7
2 1 0
1 1 1
0 2 0
2 0 0
1 0 2
0 0 1
2 0 1
1 0 1
1 0 0
1 2 1
10 6
1 2 0
3 2 0
4 2 0
4 0 3
3 1 1
1 0 1
0 2 2
1 3 0
1 1 0
4 1 0
10 9
2 0 1
1 0 1
5 5 0
5 5 1
5 3 2
4 2 2
0 5 4
0 3 1
4 2 4
0 4 1
10 9
2 1 1
1 1 0
3 0 1
3 0 2
0 1 0
3 2 1
0 2 3
3 2 3
2 0 3
1 1 3
10 2
1 3 4
2 3 0
1 2 3
0 1 2
4 4 1
4 3 2
5 1 4
0 0 1
5 4 5
2 3 5
10 3
1 3 0
2 0 1
1 0 0
3 1 0
3 2 3
0 3 3
0 2 2
2 3 1
1 1 1
3 2 0
10 6
1 1 1
1 2 2
0 2 1
2 0 0
0 2 2
2 1 2
0 1 2
2 0 1
1 1 2
0 2 0
10 4
4 4 3
3 1 3
4 1 2
2 4 4
2 3 2
2 4 2
3 0 4
1 4 2
1 3 0
3 3 3
10 6
3 3 0
2 3 2
1 3 3
3 2 3
1 2 1
0 3 3
0 2 3
2 2 0
0 1 0
0 0 2
10 2
3 1 0
1 0 2
3 3 3
4 5 3
1 1 0
5 5 0
0 2 0
3 2 3
5 3 4
0 5 2
10 7
3 4 4
2 4 1
3 2 4
4 2 2
3 4 2
0 3 4
3 4 0
2 3 4
1 4 1
0 4 3
10 8
2 1 1
1 0 0
1 0 3
0 0 2
1 3 3
0 0 1
2 1 0
2 2 3
1 1 2
1 0 1
10 7
2 4 2
3 4 0
1 1 1
0 1 3
2 2 1
4 1 1
0 0 0
1 2 2
1 1 2
0 2 0
10 5
4 5 1
1 1 0
4 1 3
2 3 4
2 1 2
0 0 4
1 4 4
3 3 5
5 4 0
5 4 2
10 8
2 1 3
0 1 2
2 2 0
3 0 3
2 3 0
0 1 1
0 0 3
1 1 1
2 2 2
1 1 0
10 5
4 1 3
0 1 4
3 0 0
2 2 0
2 4 3
0 4 1
4 3 1
2 1 2
2 4 2
4 2 0
10 7
1 4 4
2 0 3
1 2 2
5 1 2
5 2 2
2 2 4
2 4 1
4 1 3
5 3 4
1 0 2
10 2
0 0 3
2 3 1
4 4 4
3 4 3
3 1 3
1 4 1
1 4 4
1 4 2
4 2 1
4 1 0
10 9
3 0 1
4 4 0
3 4 4
1 2 3
3 0 4
2 2 2
4 1 3
3 2 0
3 3 0
1 4 2
10 5
4 1 5
0 1 0
0 0 0
3 1 3
0 3 0
4 0 3
0 0 4
3 1 4
4 5 3
1 4 4
10 9
1 1 1
0 3 0
3 3 3
2 0 1
0 2 0
1 2 3
3 3 2
1 3 3
2 0 2
0 2 1
10 6
1 2 2
0 1 2
0 2 2
2 1 2
2 2 0
1 2 1
2 2 2
1 1 0
0 1 0
2 0 2
10 9
0 1 0
2 1 2
0 0 0
0 2 0
0 2 2
2 0 1
1 0 2
2 0 0
0 1 2
0 1 1
10 3
0 0 1
1 0 2
2 1 0
0 2 1
1 1 0
2 0 1
0 1 0
0 1 2
2 2 1
2 0 0
10 3
1 2 0
4 0 4
0 2 2
1 2 1
1 2 2
0 1 4
3 1 3
0 3 3
3 1 2
1 1 4
10 7
0 2 1
1 2 0
2 0 1
1 0 2
0 2 0
1 1 2
0 1 1
2 0 0
1 0 1
1 2 1
10 9
3 0 1
3 4 3
4 0 4
0 4 4
1 3 3
1 2 4
2 0 2
2 2 3
3 1 1
2 1 1
10 7
0 4 2
2 2 1
0 0 3
2 4 2
4 0 0
1 2 0
3 3 0
2 4 1
2 2 3
4 0 1
10 2
1 2 2
2 0 0
0 2 2
0 3 3
2 2 2
1 2 0
3 2 1
1 1 3
2 0 2
2 0 1
10 3
4 0 4
0 0 2
1 1 2
0 1 0
1 0 0
4 2 4
0 0 4
0 3 0
4 2 1
1 3 2
10 9
3 0 1
3 1 0
1 1 0
3 1 2
0 0 0
0 1 1
0 1 0
1 3 1
1 0 1
3 2 2
10 7
1 2 2
2 3 2
3 2 0
3 3 1
1 0 0
2 1 1
2 1 2
0 2 2
2 2 0
1 3 2
10 8
1 2 4
3 4 2
1 4 0
3 0 4
0 0 4
4 4 2
1 3 0
1 1 0
4 0 3
3 2 1
10 4
0 1 1
5 5 2
5 3 4
3 1 1
2 0 3
3 0 3
1 5 5
4 0 0
4 0 2
0 2 5
10 4
1 1 0
0 1 2
2 0 2
0 2 1
2 2 2
1 2 2
1 0 1
0 0 0
1 2 0
0 1 0
10 7
4 0 0
0 5 4
1 3 4
4 1 1
0 2 5
5 3 0
4 1 0
0 4 0
2 2 1
0 2 0
10 6
3 4 2
2 0 4
3 0 2
3 2 2
3 4 3
3 4 1
2 2 3
2 3 1
2 4 0
2 3 2
10 2
1 3 1
3 1 1
3 4 5
5 1 2
1 0 2
1 1 0
3 0 3
1 2 2
4 0 0
5 3 5
10 3
0 2 1
1 2 2
2 2 3
0 0 3
0 2 0
3 2 3
3 1 3
0 1 0
1 3 1
2 0 1
10 2
1 5 3
5 1 1
0 1 2
4 1 5
0 2 4
3 0 1
0 0 4
0 0 1
0 3 1
2 2 1
10 6
2 0 2
2 0 1
2 1 2
1 0 2
0 0 1
2 2 0
1 0 1
2 2 2
0 1 1
0 0 2
10 2
2 1 1
2 0 2
1 0 1
2 2 2
0 0 1
1 2 1
0 2 2
1 0 2
2 0 1
1 2 0
10 5
1 2 0
2 1 0
0 1 1
2 0 0
0 0 2
1 2 2
2 2 0
0 1 0
1 1 2
1 0 1
10 4
3 3 1
0 0 2
0 1 3
0 3 3
1 2 0
0 2 2
0 3 1
2 3 0
3 1 0
2 3 1
10 9
3 1 3
4 1 0
3 3 0
3 4 1
2 4 0
2 1 3
0 1 3
0 2 4
1 4 1
4 2 3
10 8
0 2 2
1 0 0
2 2 0
2 1 0
2 0 0
2 1 2
2 0 1
1 2 1
0 2 0
2 0 2
10 5
2 0 0
0 5 0
5 3 3
4 5 1
3 2 0
5 1 1
1 0 2
0 3 1
2 5 4
4 2 1
10 8
1 3 0
2 2 1
3 0 0
1 0 2
2 2 0
2 3 3
3 2 0
0 1 3
0 3 0
3 2 2
10 8
2 1 0
0 1 2
2 0 1
0 2 2
1 2 2
1 1 1
1 1 0
1 0 1
2 0 0
0 2 1
10 3
1 2 3
0 2 0
0 2 4
4 3 0
0 2 2
0 1 0
2 1 4
5 0 4
4 0 4
2 0 2
10 3
4 0 5
2 5 4
0 0 5
4 3 0
2 2 3
0 4 3
4 5 3
4 1 1
3 5 5
3 1 5
10 8
0 1 2
1 3 2
2 3 0
0 2 2
3 0 2
1 0 3
3 2 1
0 3 1
0 1 3
1 0 2
10 6
2 1 1
0 0 0
2 0 0
1 1 1
2 1 2
2 2 1
2 0 2
2 0 1
2 2 2
1 0 0
10 9
0 5 4
3 5 1
1 4 4
5 0 0
2 0 1
0 3 4
0 1 0
0 2 4
5 3 4
1 5 5
10 3
1 1 2
0 2 1
0 1 0
1 2 0
1 1 0
1 2 2
2 1 2
0 2 0
0 2 2
0 0 2
10 9
5 5 0
5 2 1
5 1 4
0 3 1
1 1 4
3 0 5
0 4 4
0 5 1
5 3 1
1 3 5
10 2
4 2 0
2 3 3
0 1 3
4 1 0
2 3 2
4 0 4
4 3 3
4 4 0
2 2 4
3 3 2
10 9
0 4 2
1 2 2
3 0 1
4 1 3
3 1 2
4 4 4
4 1 2
1 0 4
0 2 3
1 3 0
10 6
2 2 0
1 0 0
2 0 2
2 1 1
0 2 2
2 1 0
1 0 1
1 1 1
0 2 0
2 2 1
10 4
1 1 1
2 0 2
0 2 1
2 1 0
1 0 0
1 2 0
2 0 0
1 0 1
2 1 1
1 1 0
10 3
5 1 3
4 1 1
3 2 3
3 1 3
2 2 0
3 1 0
2 2 4
3 5 3
3 3 4
2 4 1
10 5
0 4 5
5 4 1
2 4 3
1 5 3
5 2 3
4 3 0
1 2 4
3 5 4
1 2 1
3 3 1
10 8
2 2 2
0 0 4
1 4 4
5 5 2
0 1 4
5 3 3
0 5 2
4 3 1
4 3 3
5 5 5
10 8
2 0 2
1 1 1
3 0 2
2 1 3
0 2 0
0 3 0
1 1 2
1 1 3
1 1 0
2 0 0
10 4
0 2 0
0 1 2
0 1 0
0 0 1
2 1 2
0 2 1
0 0 0
1 1 0
2 0 1
1 1 2
10 5
2 0 0
2 0 2
1 2 0
0 0 2
2 2 1
0 1 2
2 0 1
2 1 0
1 1 1
0 1 0
10 2
2 0 0
1 2 0
0 0 2
2 2 2
1 2 1
2 1 0
2 2 0
0 0 0
0 1 0
2 1 2
10 2
4 3 0
4 2 1
1 3 4
4 3 2
0 4 2
4 1 2
0 2 4
4 2 0
3 0 3
3 1 1
10 6
2 4 4
4 5 5
0 4 5
3 4 5
3 0 1
4 3 5
0 1 4
1 2 0
4 5 2
4 2 1
10 3
2 0 0
3 2 0
3 0 1
4 0 0
3 1 1
3 0 0
2 2 4
4 1 2
1 0 0
3 0 4
10 5
0 0 1
3 3 0
3 1 2
1 0 3
1 2 1
1 2 0
0 1 0
1 0 0
0 0 3
2 2 1
10 4
3 3 3
2 1 4
3 1 3
1 4 3
1 2 0
4 3 0
0 4 4
1 1 4
3 0 0
3 2 2
10 9
2 4 1
3 2 2
0 4 2
4 3 3
3 4 2
2 4 0
1 4 1
2 4 4
1 3 1
0 1 4
10 3
5 3 4
3 2 5
0 4 5
2 2 1
1 4 0
0 0 5
5 2 3
4 4 3
0 1 5
5 0 5
10 6
2 3 2
3 4 0
0 2 2
1 2 2
2 0 4
3 0 2
1 4 4
0 4 4
4 0 2
2 2 3
10 7
2 2 2
1 1 3
1 3 5
5 5 1
5 2 3
1 3 3
2 5 0
2 3 0
3 4 1
2 2 0
10 5
1 1 0
2 0 2
0 1 2
2 0 1
0 1 0
0 0 1
2 1 2
1 0 2
1 0 0
0 2 0
10 3
0 3 0
2 3 0
0 3 3
0 2 3
2 2 2
2 1 3
3 3 0
0 3 1
3 0 0
1 2 0
10 9
3 2 1
0 2 3
2 2 0
0 0 3
1 0 0
3 2 2
0 2 1
0 1 1
1 1 2
0 0 2
10 9
1 4 2
4 3 2
4 2 1
2 0 1
3 5 1
3 1 0
5 5 3
2 0 5
2 2 1
4 5 0
10 7
1 2 0
1 1 2
0 1 2
0 2 2
2 0 0
0 2 1
2 1 1
0 0 2
2 1 0
2 1 2
10 2
0 1 0
1 2 0
0 2 1
1 1 2
2 0 0
1 1 0
0 0 2
1 2 2
1 0 0
0 1 2
10 2
5 2 2
4 4 4
5 3 0
1 4 3
4 1 4
5 2 0
3 1 3
3 3 4
3 3 3
4 2 1
10 4
4 3 5
3 5 0
4 3 1
2 4 2
1 5 3
3 0 0
4 0 0
5 5 5
4 5 1
0 3 1
10 7
0 4 1
4 1 1
4 0 3
3 3 4
1 1 0
2 0 4
3 3 1
1 4 2
4 4 3
1 3 2
10 5
2 2 0
1 1 2
1 1 1
2 2 2
0 0 1
2 2 1
1 2 1
2 0 0
2 1 1
1 2 0
10 4
0 0 4
1 1 5
2 2 1
4 3 0
3 5 1
1 0 5
3 1 2
2 4 5
2 5 4
4 0 4
10 2
1 0 1
0 0 1
0 1 3
3 1 0
0 2 0
2 0 1
2 0 3
1 1 2
0 2 3
3 0 3
10 6
1 0 2
2 2 0
2 2 2
3 2 1
0 3 0
1 3 3
3 3 1
3 1 3
0 0 2
0 1 1
10 2
2 0 1
2 2 1
0 1 0
0 0 2
1 1 2
0 1 2
1 1 1
0 2 1
1 0 1
0 2 0
10 4
3 4 3
1 1 4
0 1 0
4 0 4
1 0 1
1 5 3
2 1 5
0 1 1
4 2 0
5 5 5
10 2
1 3 4
0 1 1
4 0 0
0 2 0
1 0 0
1 3 2
4 0 4
0 3 3
3 3 3
3 0 4
10 5
2 0 1
2 1 1
0 2 1
1 0 1
0 2 0
1 2 1
2 0 0
1 1 0
0 1 2
2 2 1
10 5
0 1 2
0 1 1
1 1 2
1 1 1
0 0 2
1 1 0
0 1 0
1 0 0
2 1 2
1 2 0
10 5
1 2 1
0 0 1
1 1 1
1 0 0
0 1 1
2 2 1
1 1 2
2 1 2
0 2 2
1 0 1
10 6
2 0 0
1 0 1
2 2 2
1 0 2
0 2 0
2 0 2
1 2 1
2 1 0
0 1 2
1 1 1
10 9
1 2 0
3 4 4
4 4 3
2 2 2
1 0 1
2 1 1
2 0 1
2 0 4
3 4 3
3 3 3
10 9
0 1 1
1 0 1
0 1 0
2 1 2
1 1 0
2 0 2
2 1 1
0 2 2
2 0 0
2 2 2
10 5
0 0 1
1 2 1
2 0 2
1 1 1
1 2 2
2 1 2
1 2 0
2 0 1
2 2 2
0 0 2
10 2
3 0 3
0 1 3
0 3 0
4 0 1
1 4 3
0 3 1
0 0 4
1 1 2
4 1 0
1 3 4
10 6
0 0 2
0 3 3
2 1 0
2 0 1
3 1 3
3 3 3
3 0 3
1 3 3
3 0 1
1 0 2
10 2
0 1 1
1 2 3
1 1 0
3 2 0
0 3 3
2 0 1
3 0 0
3 3 0
1 0 3
1 0 0
10 9
0 2 2
3 2 2
1 0 2
3 2 0
4 2 0
0 2 0
1 2 0
1 4 1
2 3 4
4 1 0
10 9
2 2 0
0 1 1
2 1 1
2 1 2
0 1 2
2 1 0
1 1 2
1 1 0
1 0 2
2 2 1
10 3
1 2 0
0 0 3
4 3 2
3 4 2
2 1 3
3 1 3
0 4 4
3 0 0
1 1 0
0 2 1
10 8
3 2 0
1 1 3
4 4 4
1 3 1
1 2 4
2 4 2
0 2 0
2 2 4
2 0 1
0 3 2
10 8
2 2 0
2 0 2
0 2 3
3 3 2
0 3 3
2 1 1
2 0 3
3 1 0
3 1 3
1 0 3
10 4
2 1 1
0 1 2
0 0 2
0 1 1
0 2 2
1 0 2
0 2 1
1 1 2
1 2 0
0 2 0
10 8
2 0 2
5 0 2
3 0 1
5 5 1
2 4 5
5 4 4
5 0 4
2 0 1
1 5 1
4 0 4
10 7
0 2 2
4 3 4
2 0 2
3 3 2
3 1 1
0 2 3
4 1 4
2 1 2
4 4 1
3 1 0
10 8
1 0 2
1 0 1
2 2 0
0 0 2
0 2 2
2 0 1
0 0 0
0 2 1
0 1 2
2 1 0
10 3
2 2 2
5 3 0
2 2 5
1 0 2
0 2 4
1 2 2
5 2 1
3 1 4
5 3 5
0 2 3
10 3
2 0 0
2 2 0
3 0 1
1 4 4
2 2 2
0 2 4
3 2 0
0 3 2
0 1 2
2 1 1
10 6
4 3 1
2 2 3
2 4 1
5 4 2
4 0 1
0 3 4
5 1 0
1 3 5
3 3 4
1 3 2
10 3
2 2 3
1 4 4
0 3 1
0 1 2
4 3 1
4 2 0
2 3 1
4 0 4
2 2 4
3 3 3
10 6
3 4 2
1 2 1
1 2 2
2 1 2
2 0 0
1 0 2
1 3 1
0 4 1
4 1 2
2 0 3
10 7
0 0 3
4 4 1
4 0 1
3 1 3
1 2 2
3 0 0
0 1 1
2 4 1
2 1 0
0 4 0
10 3
1 3 1
3 2 3
1 2 3
2 0 0
1 1 2
1 0 0
2 2 2
3 0 0
2 3 2
1 2 2
10 8
3 0 2
3 1 1
2 0 0
1 3 2
2 2 1
2 0 1
1 3 3
2 0 2
0 1 1
1 2 0
10 6
2 3 5
3 1 5
5 2 5
3 0 1
3 4 4
5 5 0
4 1 5
0 2 0
4 2 4
5 1 0
10 7
1 5 4
0 0 2
2 1 2
0 1 4
4 4 3
5 1 3
4 3 5
0 1 2
3 2 3
4 4 5
10 7
1 0 2
0 2 3
0 1 0
1 1 2
1 2 1
3 1 2
3 3 3
1 2 0
1 2 3
1 3 3
10 3
2 2 3
0 3 2
2 0 3
3 3 2
2 1 3
2 2 1
2 1 0
1 0 1
1 3 1
3 0 3
10 4
0 0 1
2 2 1
0 3 1
4 4 1
0 2 0
0 2 3
1 0 0
1 3 2
3 4 1
1 4 0
10 8
2 2 1
2 0 2
1 0 2
2 2 2
0 2 1
2 1 2
1 0 1
1 1 1
0 1 0
0 1 2
10 9
0 1 2
0 1 1
1 1 0
2 0 0
0 0 2
2 1 1
0 0 0
0 1 0
1 2 0
2 1 0
10 4
1 0 0
1 2 2
1 0 2
1 1 1
1 2 1
1 2 0
0 0 2
0 2 0
0 0 0
2 1 0
10 7
3 2 2
2 0 2
2 0 3
0 1 3
0 3 0
3 1 0
2 3 2
2 3 1
0 2 2
0 3 3
10 8
1 4 2
4 1 3
1 1 4
4 2 4
2 4 2
1 3 2
0 1 0
2 2 1
1 2 1
0 2 3
10 3
2 0 2
3 4 4
1 0 4
2 1 3
2 2 2
4 2 0
3 3 2
4 4 2
3 2 1
3 4 3
10 2
1 2 0
2 4 0
4 0 1
1 4 2
3 3 3
2 2 4
1 4 0
2 3 4
4 3 2
0 4 2
10 8
3 4 3
5 0 3
2 2 2
2 3 3
5 2 3
5 4 0
0 0 4
0 4 1
2 5 4
2 5 1
10 4
4 2 4
1 1 2
2 0 3
4 1 3
3 2 4
4 3 0
0 2 2
2 3 4
1 2 3
4 2 2
10 9
2 0 2
0 0 1
1 2 1
0 2 1
1 1 2
1 2 2
2 0 1
0 2 2
1 0 2
1 2 0
10 4
0 2 1
2 2 2
3 1 2
1 1 2
3 0 1
0 1 1
0 3 3
2 1 3
3 0 3
0 1 2
10 6
1 4 2
3 4 4
3 3 0
1 1 3
4 4 2
2 2 1
2 3 2
1 0 3
3 1 4
1 0 0
10 6
0 3 1
3 0 0
2 2 0
2 1 2
2 2 3
3 2 1
1 2 1
3 2 0
0 2 0
0 2 1
10 7
1 1 1
3 3 0
2 2 1
4 3 4
3 4 3
2 4 4
1 2 1
4 0 0
0 4 2
4 1 1
10 5
1 4 0
4 4 0
4 3 2
3 0 4
4 4 3
2 2 1
1 0 1
2 3 3
1 1 3
0 3 1
10 2
3 0 2
5 0 2
1 5 2
4 3 3
1 2 2
4 1 5
0 2 0
4 4 1
2 2 1
4 3 1
10 4
2 2 2
0 3 2
1 1 3
0 1 2
0 1 0
3 0 1
0 2 3
2 3 2
1 2 0
3 2 0
10 8
0 2 3
4 2 5
5 4 0
3 0 4
5 5 2
4 3 5
0 0 0
3 4 3
4 3 4
5 0 2
10 9
0 1 2
2 2 0
2 1 1
0 0 0
1 2 1
0 0 1
0 0 2
2 1 0
2 2 2
1 1 1
10 5
0 3 2
4 1 1
1 2 1
3 3 1
2 2 3
0 3 0
3 1 2
1 3 0
3 2 1
1 0 3
10 5
5 0 1
5 3 0
1 3 5
2 4 4
2 4 3
5 0 5
1 2 4
4 4 5
3 4 5
4 2 5
10 8
3 3 3
0 1 0
1 3 0
1 3 1
2 2 0
0 0 3
0 3 1
0 0 1
0 3 3
2 3 1
10 3
0 2 1
1 2 2
1 0 2
2 1 2
2 2 2
2 1 0
0 0 0
2 0 1
1 1 0
0 2 2
10 6
1 0 1
2 1 1
1 0 2
2 0 0
0 1 2
1 2 2
0 2 1
1 0 0
0 1 0
0 1 1
10 7
2 2 1
2 1 2
2 2 0
1 1 2
2 1 0
1 2 0
0 2 2
2 0 0
1 1 1
0 1 1
10 4
2 0 2
2 0 1
0 0 1
0 0 2
0 2 2
2 2 1
0 1 0
2 0 0
1 0 1
1 1 2
10 7
3 1 0
1 3 1
3 2 2
0 1 2
1 1 3
0 1 3
3 2 3
0 3 3
0 0 2
2 2 1
10 7
2 1 1
3 4 0
0 4 2
1 1 4
4 5 3
5 5 4
1 3 2
5 5 3
2 3 3
4 2 2
10 9
1 0 3
0 1 0
2 0 1
1 2 0
0 0 0
0 1 3
1 2 3
2 2 0
3 0 3
0 0 1
10 3
4 2 0
0 4 3
3 1 2
2 4 1
3 0 4
4 2 3
0 3 0
2 0 3
0 3 2
0 0 3
10 9
4 5 4
4 2 1
0 2 5
3 1 2
1 0 3
3 5 1
0 3 5
4 3 1
5 5 1
4 2 5
10 6
2 0 3
5 2 3
0 4 5
1 0 4
2 4 2
2 2 5
1 1 0
4 4 1
1 2 4
2 4 5
10 6
2 3 1
1 1 5
0 5 1
0 0 0
2 1 2
0 0 4
2 4 4
3 3 0
5 3 1
4 3 5
10 3
1 3 0
0 3 2
5 0 4
2 4 5
1 2 3
3 0 0
5 3 2
0 0 4
3 0 4
0 0 2
10 9
0 1 1
1 1 1
2 1 3
2 0 1
0 2 0
1 3 3
1 0 2
1 2 0
0 3 1
2 2 0
10 3
1 0 0
0 0 0
2 2 1
0 0 1
2 2 2
0 2 1
2 0 2
1 1 2
2 1 2
1 2 1
10 7
3 1 0
0 1 0
2 0 1
1 2 1
3 3 1
0 2 0
0 3 2
3 0 1
1 3 3
2 1 0
10 4
0 3 1
2 2 0
1 3 1
2 0 1
1 0 0
0 0 1
1 2 0
3 3 1
0 3 2
2 0 3
10 9
2 1 1
0 1 1
2 0 2
1 0 1
1 0 2
1 1 2
0 2 0
0 2 1
0 0 1
1 2 0
10 6
1 5 1
4 5 3
4 0 0
2 2 3
5 2 0
5 1 5
4 0 3
2 5 3
3 1 3
2 2 1
10 9
3 0 0
5 5 1
2 2 1
2 4 5
1 5 3
5 5 4
1 1 4
0 1 0
4 4 5
4 4 0
10 3
5 1 5
1 2 5
0 5 1
5 5 1
2 3 1
0 0 1
1 3 1
2 3 4
3 0 0
2 0 3
10 9
3 2 0
1 1 1
3 2 2
0 1 3
3 0 2
2 3 2
3 1 1
0 1 0
1 3 2
1 1 0
10 2
5 0 4
1 4 4
2 5 4
1 1 0
4 3 2
2 0 2
1 2 1
4 5 2
5 0 2
3 2 5
10 6
0 0 1
2 1 1
1 2 0
1 1 0
0 0 0
0 1 1
2 0 0
2 1 2
2 0 1
0 2 2
10 4
0 2 3
2 3 0
0 2 0
0 3 3
3 1 3
2 1 0
3 2 3
1 2 2
3 1 2
0 1 3
10 5
4 3 1
3 0 5
0 4 4
5 1 1
4 2 0
3 0 3
2 5 5
1 2 3
5 3 2
3 4 4
10 2
2 5 1
1 3 1
2 3 5
5 0 0
4 3 4
1 2 2
2 3 0
1 2 4
5 4 5
4 1 2
10 2
0 1 3
2 2 3
1 0 0
2 0 2
1 1 2
0 1 0
1 2 0
0 1 1
2 2 0
2 3 0
10 3
4 2 3
0 2 0
1 2 1
1 1 1
4 3 3
3 4 4
1 0 0
0 0 1
2 0 1
1 3 1
10 6
0 5 2
0 3 1
0 3 2
4 4 0
0 1 0
4 4 5
4 2 4
1 0 1
1 0 2
1 4 3
10 4
2 0 0
2 2 1
2 0 2
0 1 0
1 2 2
0 0 0
0 0 1
1 0 0
0 1 1
1 1 2
10 3
0 0 0
1 0 0
0 1 1
1 2 2
2 0 0
2 2 0
2 1 1
1 0 2
2 2 2
1 1 2
10 4
4 0 0
2 0 1
3 4 3
3 4 0
3 1 1
2 0 0
4 1 1
4 4 4
1 3 1
4 0 2
10 3
1 0 1
2 0 3
4 4 4
4 2 0
1 2 1
1 1 4
0 5 3
4 5 1
4 3 5
4 4 0
10 6
1 5 3
3 2 0
5 0 3
3 0 3
1 4 5
4 3 4
1 3 0
5 4 0
0 4 5
2 4 2
10 5
3 2 3
5 1 2
0 3 2
2 0 1
1 3 4
2 4 1
0 5 2
0 1 3
5 3 5
4 0 5
10 7
2 1 4
1 3 3
1 2 1
1 0 0
2 4 2
0 1 1
1 4 0
2 4 0
0 3 2
2 2 4
10 9
5 1 2
4 2 4
0 5 2
4 0 5
1 0 5
1 1 4
0 0 4
1 4 3
4 3 0
2 3 0
10 6
3 2 3
0 3 3
2 0 1
2 3 0
3 0 0
2 0 0
2 0 3
1 0 3
3 2 2
2 1 3
10 4
5 1 4
3 2 5
4 3 4
1 4 5
4 2 2
4 4 5
1 3 2
0 3 4
2 1 0
1 2 3
10 2
3 4 0
0 3 0
3 2 4
0 2 3
1 1 0
4 1 2
0 1 0
2 1 3
4 1 4
1 4 2
10 3
5 4 5
1 1 4
3 0 0
5 1 3
5 0 5
5 0 4
3 5 2
1 1 5
1 2 5
0 4 5
10 3
1 1 1
0 2 0
0 0 1
1 2 0
2 1 1
0 2 1
1 2 2
0 0 0
1 0 2
2 2 0
10 6
0 1 0
0 0 1
0 2 2
2 2 2
1 0 0
1 0 2
0 0 2
1 2 2
2 1 2
1 2 1
10 9
0 0 2
2 0 1
0 1 1
0 2 0
2 1 2
2 2 0
0 2 1
2 0 2
1 1 0
2 2 1
10 6
4 1 0
2 2 0
2 4 0
4 2 4
2 5 4
2 3 2
1 4 5
1 0 2
3 2 0
4 4 2
10 8
4 4 0
2 5 5
0 0 3
2 1 2
0 3 5
4 4 1
0 1 2
4 3 2
1 4 1
5 0 1
10 2
0 1 2
0 2 0
1 0 2
2 2 0
0 2 2
1 2 2
0 2 1
2 0 2
1 2 0
2 1 1
10 5
4 2 1
0 1 4
2 4 1
0 2 0
1 0 1
2 3 1
0 0 4
2 4 2
1 4 4
0 2 4
10 9
3 0 1
2 0 3
1 3 0
0 1 0
2 1 0
0 0 2
0 2 2
3 0 0
3 2 3
3 3 2
10 3
0 2 0
3 0 1
1 5 0
3 2 5
5 0 0
2 3 5
3 1 1
2 5 3
3 4 4
2 1 0
10 6
3 0 4
3 5 3
4 3 2
3 5 2
5 0 1
3 4 5
1 1 0
1 5 3
5 5 3
4 0 2
10 9
2 3 3
4 0 4
2 1 4
0 2 2
0 0 4
3 0 0
3 2 1
1 0 1
2 3 2
0 3 1
10 7
0 0 2
2 1 1
2 0 0
1 0 2
0 2 1
1 2 2
1 0 1
1 0 0
2 0 1
0 1 0
10 2
2 2 0
1 2 2
1 2 0
0 2 3
2 0 0
0 3 0
0 1 0
1 1 0
2 2 3
1 3 1
10 3
3 1 3
5 2 4
5 2 5
2 5 1
3 5 4
4 0 4
2 3 4
1 2 3
0 2 0
3 3 1
10 9
3 0 3
1 0 0
4 2 1
4 4 2
3 1 0
3 0 2
2 1 4
3 2 3
4 2 4
1 1 4
10 6
1 3 3
0 0 1
3 1 1
1 3 1
1 0 1
0 0 0
3 3 1
0 0 3
1 2 0
0 2 2
10 4
2 2 2
2 0 1
2 0 0
2 1 0
1 1 0
0 0 1
2 1 1
0 1 0
0 0 0
1 1 1
10 8
3 4 3
1 3 1
4 4 1
1 1 1
1 2 0
2 3 0
3 4 1
2 2 3
1 1 4
4 3 1
10 8
0 1 0
0 1 1
2 2 0
0 0 1
1 0 0
2 1 2
1 1 0
0 2 2
1 0 2
1 2 2
10 8
3 5 2
0 0 3
3 1 4
3 2 1
4 1 4
0 4 0
2 1 3
3 1 3
1 3 0
2 1 5
10 6
3 0 1
4 4 0
3 1 1
1 2 3
1 3 3
1 3 1
2 2 1
2 0 4
4 3 4
4 2 4
10 5
0 2 1
0 0 0
1 2 2
2 1 0
1 0 0
2 2 0
1 1 1
0 1 2
1 1 0
2 2 2
10 3
3 3 3
3 1 0
0 2 0
2 1 0
1 3 3
1 3 2
1 0 3
0 3 3
0 2 1
2 2 3
10 5
1 2 1
3 2 4
3 4 4
4 3 4
4 1 3
2 2 0
0 1 3
3 1 0
1 3 1
1 2 2
10 5
2 0 4
3 3 1
4 3 2
1 3 2
4 3 3
0 4 3
4 0 0
1 1 1
3 2 1
4 1 3
10 5
2 2 2
0 2 2
0 2 1
0 1 0
2 0 1
0 0 0
0 1 2
1 1 2
2 1 0
1 0 0
10 4
0 0 1
0 0 2
0 1 2
1 2 0
2 2 2
2 2 1
2 0 3
3 0 1
0 3 2
0 2 0
10 3
2 3 1
4 1 3
1 0 4
1 1 3
1 0 5
5 5 0
0 0 2
3 0 1
5 4 3
2 3 3
10 3
0 2 2
0 1 2
1 2 0
2 2 2
2 0 0
1 2 2
0 0 2
2 2 1
0 0 0
0 2 0
10 2
4 1 2
1 1 3
1 1 0
1 3 1
0 2 0
4 4 1
4 0 0
3 1 1
1 3 3
4 3 2
10 4
2 0 1
3 3 3
2 0 3
3 3 1
0 3 0
2 3 1
0 1 2
2 2 3
2 2 0
2 1 2
10 7
1 2 2
0 2 2
2 1 0
0 0 1
1 1 2
2 0 0
0 1 2
2 0 1
0 1 1
1 2 1
10 6
2 0 0
1 2 2
1 1 1
2 1 1
0 1 1
2 2 1
2 2 2
1 2 1
0 2 0
0 0 0
10 3
2 1 3
0 3 0
3 3 3
0 0 1
1 3 2
1 2 1
3 0 2
3 3 1
3 1 2
0 2 1
10 5
4 4 0
1 2 1
1 4 1
1 3 4
2 0 3
2 1 4
0 2 3
4 1 2
1 3 1
2 4 2
10 2
0 2 1
2 2 0
2 0 0
1 1 1
0 2 0
2 0 2
0 1 1
1 2 1
1 0 1
1 2 2
10 8
1 1 1
1 3 2
0 0 3
0 1 0
2 1 2
0 3 2
0 1 3
2 1 3
3 3 3
0 2 1
10 6
4 1 3
2 3 4
4 1 4
4 4 1
3 0 0
3 4 4
4 3 3
3 2 3
2 3 2
4 0 3
10 8
3 0 3
2 2 4
2 0 0
4 0 0
3 1 2
4 2 3
2 2 2
3 3 2
0 4 0
1 1 0
10 3
1 5 5
0 5 2
4 5 0
0 1 5
2 3 3
2 1 1
2 5 4
1 3 2
4 4 4
1 5 0
10 3
1 0 5
3 4 4
2 5 2
4 3 3
4 2 2
5 4 1
2 5 3
5 1 0
4 1 5
2 5 0
10 4
0 1 0
2 0 0
2 1 1
1 1 0
0 2 2
1 2 0
0 0 0
1 0 0
0 2 0
0 1 2
10 6
3 1 1
2 3 1
1 0 2
0 3 2
1 1 1
2 1 1
0 1 3
2 1 0
3 1 2
2 2 3
10 6
1 1 2
0 0 0
2 1 1
2 0 2
2 0 1
0 0 1
1 1 0
1 0 0
0 2 1
0 1 2
10 8
0 2 1
0 1 2
1 0 0
0 1 1
0 0 0
0 2 0
2 1 2
1 1 2
1 1 0
0 0 1
10 8
5 4 0
5 5 5
4 3 2
1 1 5
4 1 4
3 1 2
1 4 3
0 4 3
5 5 3
5 5 4
10 7
3 1 1
0 2 1
0 3 3
0 1 1
0 0 3
3 2 3
3 0 2
1 2 3
0 2 0
0 2 2
10 6
4 4 1
4 3 3
2 0 0
1 0 0
2 1 0
1 1 1
3 3 2
0 2 2
2 2 4
4 2 4
10 3
1 1 2
2 2 2
2 1 1
2 1 0
0 1 2
0 0 2
0 1 0
0 0 1
0 0 0
2 2 1
10 4
1 1 3
0 4 4
2 4 3
2 4 2
2 3 1
3 2 0
4 2 2
1 0 4
4 1 2
3 0 3
10 7
2 1 2
0 1 2
0 2 2
0 0 1
1 1 2
0 1 1
0 1 0
2 1 1
1 0 1
2 2 2
10 6
2 4 4
0 1 3
2 3 0
3 3 1
0 3 2
1 2 0
0 4 0
2 1 2
0 4 2
0 0 4
10 9
1 1 2
0 1 1
0 3 3
4 3 3
1 2 4
2 3 0
3 3 4
0 2 0
0 0 0
3 0 4
10 2
4 0 0
2 5 2
4 3 2
1 2 1
1 1 5
1 2 5
3 5 2
5 2 0
3 5 5
0 4 5
10 3
1 2 2
1 0 0
2 1 0
2 0 1
2 1 1
2 1 2
1 2 0
1 0 1
1 2 1
2 2 1
10 4
1 2 0
2 2 0
0 1 2
2 1 1
2 3 2
0 3 2
1 1 2
3 1 3
2 0 0
3 3 2
10 6
3 0 3
1 4 4
1 1 2
1 4 1
1 1 1
4 0 4
2 3 0
0 4 3
2 4 2
4 0 0
10 7
1 2 0
0 3 4
2 1 3
1 1 1
2 4 1
3 3 4
1 0 0
3 1 2
2 3 2
3 0 2
10 2
1 3 0
3 3 1
0 0 1
3 3 3
2 0 1
0 2 2
3 2 3
3 3 0
3 1 0
0 2 1
10 8
1 2 0
2 1 0
2 0 0
2 2 1
0 1 0
0 1 1
2 0 2
1 1 2
0 0 1
1 2 2
10 9
0 2 2
2 0 0
1 1 0
0 0 1
2 2 0
2 0 2
1 0 0
2 1 1
1 2 0
0 2 1
10 4
4 2 3
4 4 0
0 2 0
4 2 2
0 4 0
3 4 4
0 4 1
0 0 2
0 0 1
1 3 3
10 3
1 1 2
2 0 2
1 0 1
2 0 1
0 0 2
2 1 0
1 0 0
0 0 0
2 2 1
2 1 2
10 6
1 1 1
1 1 3
3 1 1
1 2 1
2 4 4
4 4 1
0 0 3
0 3 2
1 4 3
2 0 3
10 5
0 0 2
2 1 1
2 2 2
0 1 2
2 2 1
0 1 0
2 0 1
1 2 1
1 1 2
2 0 0
10 5
2 1 3
1 3 4
0 2 2
0 0 0
1 1 2
4 3 0
1 0 4
1 3 1
4 0 4
4 2 1
10 3
2 2 0
2 3 3
2 1 1
2 0 3
0 3 0
1 1 1
3 2 2
1 2 0
1 1 0
3 0 1
10 5
0 1 0
2 0 2
2 2 3
1 0 3
3 0 0
3 1 1
0 0 3
1 2 0
4 2 0
0 0 4
10 7
2 4 3
4 4 3
1 4 4
0 4 1
5 3 5
2 0 3
1 1 4
4 0 5
4 3 3
1 0 4
10 3
2 0 2
2 2 2
1 0 2
1 2 0
0 1 0
1 1 1
2 0 0
1 2 2
1 0 1
0 2 1
10 3
3 3 0
1 1 3
0 1 1
2 2 0
0 2 2
1 0 3
1 0 1
3 1 1
3 2 0
3 3 1
10 9
0 1 1
2 1 2
3 1 3
2 2 3
0 1 3
2 3 1
0 2 0
3 2 2
0 2 2
3 2 1
10 4
2 0 0
2 1 1
1 1 1
1 1 0
2 2 0
0 2 1
1 2 2
0 1 1
0 2 0
1 2 0
10 4
0 5 2
5 1 5
2 4 3
1 3 5
0 0 5
4 4 3
3 3 5
2 4 1
0 1 5
4 1 5
10 7
1 1 1
0 2 1
2 0 2
1 2 1
0 2 0
0 0 1
0 2 2
2 1 0
1 0 1
1 1 0
10 9
2 1 0
2 3 0
0 0 1
3 3 3
3 1 2
3 0 0
0 1 2
1 3 3
1 0 1
0 2 3
10 9
3 2 0
1 1 2
3 1 3
0 1 1
2 3 0
0 1 3
1 0 1
0 3 3
3 2 1
2 1 3
10 4
3 1 2
3 5 5
3 1 5
1 1 3
1 3 2
2 1 3
4 4 4
2 1 1
2 3 0
4 1 1
10 5
2 1 2
2 1 3
3 1 0
2 2 1
3 0 1
2 1 1
0 2 2
2 0 0
0 3 3
0 2 3
10 4
2 0 4
3 2 2
0 0 3
4 0 0
0 2 0
2 1 3
1 4 2
2 3 3
2 0 1
0 0 0
10 3
0 0 2
1 1 2
2 0 1
2 1 0
1 2 1
0 1 0
0 2 1
1 1 0
1 0 0
2 0 0
10 6
1 1 2
2 0 1
0 2 2
0 1 2
0 1 0
1 1 0
0 0 0
2 2 0
2 1 0
1 1 1
10 5
5 5 4
1 3 0
1 3 1
2 4 4
5 5 3
2 1 1
3 4 4
0 5 4
3 0 1
5 3 0
10 5
2 2 1
0 0 2
3 1 1
1 0 0
1 2 3
1 1 3
3 2 0
3 1 0
0 3 2
0 0 0
10 9
1 2 2
1 0 2
2 2 0
1 0 1
0 2 2
2 0 1
2 0 2
2 2 1
1 0 0
2 1 2
10 2
4 2 5
4 2 3
2 3 5
2 0 3
2 5 0
0 2 4
0 1 3
4 4 3
1 1 1
4 4 0
10 6
3 2 2
2 2 1
1 1 3
0 0 2
2 1 3
3 3 1
0 3 1
0 1 1
2 0 2
1 3 1
10 9
1 1 1
1 0 1
2 3 2
2 3 1
2 2 2
1 2 2
3 1 0
0 0 3
3 1 2
0 2 3
10 4
4 1 1
4 1 0
1 0 1
2 4 1
2 4 2
1 3 0
0 1 0
2 4 4
3 1 4
4 3 3
10 6
0 0 2
1 2 0
2 0 2
0 1 1
2 0 1
1 1 0
2 1 0
1 2 2
2 2 0
0 1 0
10 2
2 5 4
2 4 2
1 1 4
0 1 5
1 3 0
4 4 0
2 3 5
5 4 5
4 5 4
1 3 1
10 6
1 1 4
0 1 4
4 1 4
0 2 3
1 0 0
1 1 3
3 3 4
0 1 2
1 4 2
3 1 1
10 9
4 1 2
1 2 2
4 2 4
3 2 3
1 1 2
0 2 3
4 1 4
3 0 3
1 3 4
1 3 3
10 3
1 1 3
2 3 5
0 2 0
0 2 4
2 2 0
1 5 5
1 0 3
0 0 2
4 5 1
2 0 5
10 5
4 0 4
1 1 3
0 3 3
5 2 5
4 5 4
5 2 0
1 3 3
3 4 4
4 2 3
1 2 3
10 8
1 2 1
2 2 2
0 0 0
2 0 1
0 2 2
2 1 1
1 2 2
2 2 1
0 1 0
0 2 1
10 9
1 2 0
1 1 0
0 2 1
2 0 0
1 2 2
2 1 0
1 0 0
0 2 2
0 1 0
0 1 2
10 4
0 1 2
1 2 1
0 1 1
2 2 1
2 0 2
1 2 0
1 2 2
2 2 0
0 0 2
2 1 0
10 4
2 3 3
3 1 0
1 3 1
1 1 3
2 0 3
0 2 3
0 1 1
3 3 0
1 2 2
3 0 2
10 8
1 2 1
0 2 2
1 0 3
3 2 3
3 1 2
0 1 2
1 2 3
3 3 1
0 2 3
1 0 1
10 6
3 3 3
2 3 1
0 0 0
3 3 2
3 3 0
0 3 1
2 1 1
2 3 2
0 0 2
2 2 3
10 3
0 3 2
2 1 3
3 2 3
2 1 2
1 3 1
2 3 2
0 3 1
1 2 0
0 1 0
3 2 1
10 6
3 3 4
1 3 2
1 2 1
2 4 1
1 2 2
1 4 1
2 4 2
2 2 2
1 3 4
1 0 4
10 6
1 2 1
1 0 4
0 1 3
4 0 2
1 3 1
3 2 2
3 1 1
4 2 2
0 4 4
2 4 0
10 5
3 4 2
2 0 3
1 4 3
5 3 5
0 2 0
0 4 0
3 1 0
0 0 1
5 2 3
5 4 5
10 4
1 1 2
0 1 2
2 1 0
2 2 2
2 0 1
0 0 2
2 1 2
1 2 2
2 2 1
2 0 2
10 6
0 0 1
3 2 1
3 5 2
0 4 5
2 1 3
3 3 2
0 4 1
4 4 1
1 2 1
1 3 1
10 3
0 0 3
3 1 3
1 0 1
2 1 1
3 3 0
2 2 3
2 2 0
0 3 1
2 0 1
2 0 0
10 5
0 1 3
1 4 4
3 2 4
2 2 4
2 0 4
0 0 1
2 2 2
3 4 0
4 2 4
0 3 1
10 4
3 5 4
5 5 5
3 1 4
1 4 2
5 3 3
1 1 3
5 0 0
2 5 2
0 3 5
2 0 1
10 3
1 4 2
2 3 3
1 3 1
3 0 2
2 0 4
1 0 1
2 3 0
1 2 3
1 3 3
4 3 1
10 5
1 1 2
2 4 3
2 4 4
2 4 1
2 4 2
0 2 4
2 2 4
2 4 0
3 3 0
1 3 4
10 2
3 0 2
0 3 3
1 1 3
4 0 4
4 4 4
0 1 4
3 3 1
1 0 4
0 2 4
2 3 3
10 9
0 0 1
0 2 1
2 0 2
2 1 2
2 1 0
1 0 2
0 2 2
1 2 0
1 1 0
2 2 1
10 4
0 1 3
3 3 0
3 3 2
0 0 3
0 0 1
1 0 2
2 2 3
0 2 3
1 2 0
0 3 0
10 4
1 1 1
0 0 1
2 1 0
0 2 2
2 1 2
0 2 0
2 0 0
0 2 1
0 1 2
2 0 2
10 3
2 1 2
1 0 2
0 2 1
0 0 0
2 0 2
2 2 1
1 2 1
1 1 1
0 1 2
2 1 0
10 2
3 5 3
1 2 2
4 5 3
5 2 0
2 5 3
2 1 4
2 3 5
0 0 5
3 0 5
5 3 1
10 2
4 0 1
1 2 4
4 0 2
2 1 1
1 4 1
1 4 4
1 2 2
5 4 4
3 4 0
3 0 2
10 3
2 0 4
2 4 0
5 2 0
2 2 3
5 3 5
2 2 2
2 1 4
2 2 1
4 2 2
5 3 4
10 9
2 1 2
0 0 2
1 2 2
1 1 1
1 1 0
2 1 0
2 2 1
2 0 1
0 2 2
0 0 1
10 3
2 1 3
2 2 2
0 1 1
2 3 3
2 1 1
0 0 3
3 2 0
0 2 2
1 3 1
1 2 3
10 5
4 3 3
4 1 3
0 4 2
3 4 4
2 2 4
0 4 4
4 2 2
4 4 1
4 1 0
0 4 1
10 4
0 2 1
1 0 0
2 1 3
2 3 1
4 5 1
3 4 3
0 4 1
4 0 5
2 4 4
5 2 1
10 9
1 2 1
2 0 3
3 0 0
1 1 2
3 0 2
2 1 2
1 0 0
1 0 2
0 3 2
0 1 3
10 5
0 4 4
3 2 0
5 0 1
1 5 4
5 3 5
1 0 2
1 1 1
3 1 3
3 5 0
2 0 2
10 3
3 1 2
4 1 2
1 3 0
3 4 2
4 2 0
4 0 1
2 0 1
2 1 2
1 1 1
2 0 2
10 3
0 0 4
0 0 0
0 1 4
2 2 1
3 5 5
0 3 0
1 1 0
4 1 0
1 3 0
0 4 3
10 6
0 0 2
2 3 0
3 3 3
3 0 2
2 1 0
3 0 0
2 3 3
1 0 3
3 2 2
0 2 1
10 4
1 4 1
2 4 2
2 1 4
4 0 3
4 2 5
1 1 3
1 3 2
4 2 0
2 4 5
0 1 5
10 6
0 0 2
1 2 2
0 2 0
1 0 2
1 1 2
1 2 0
1 0 0
2 2 0
0 0 1
0 1 1
10 4
1 0 0
2 1 2
0 1 0
1 1 2
2 1 1
0 0 2
0 2 1
0 2 0
1 2 1
2 1 0
10 5
4 4 0
1 4 0
5 3 3
3 2 1
5 2 3
4 3 3
0 1 2
1 0 2
0 5 4
0 3 5
10 7
0 0 0
0 1 1
2 2 1
3 1 1
4 0 0
2 1 0
2 2 0
1 4 1
2 3 0
2 1 1
10 4
3 3 3
3 3 0
3 1 3
0 0 1
1 1 2
1 3 2
3 2 2
1 1 0
2 3 0
2 1 2
10 2
1 2 1
1 1 0
2 0 2
2 1 2
2 1 1
0 0 2
2 0 1
1 0 0
0 2 1
0 1 0
10 9
3 2 2
3 4 4
4 1 3
1 3 3
0 3 3
0 4 4
3 0 0
2 4 4
2 0 0
0 2 4
10 4
5 1 3
1 0 2
4 5 2
1 3 5
5 0 2
1 1 3
5 3 2
2 1 3
4 3 3
4 4 3
10 5
1 0 1
0 1 1
0 1 2
0 0 0
0 0 1
2 2 2
1 1 2
1 2 1
0 1 0
2 0 1
10 9
3 2 3
2 2 2
3 2 2
1 0 0
0 2 3
3 2 1
3 3 1
1 0 3
2 1 2
2 0 3
10 4
1 1 0
1 1 1
1 0 2
0 0 2
2 2 1
2 1 0
1 0 0
0 1 2
0 1 1
1 2 0
10 9
4 2 0
2 4 2
0 4 5
4 0 2
1 5 3
3 3 4
5 1 0
0 3 1
2 1 0
5 4 3
10 9
2 3 1
3 3 3
0 3 0
0 3 2
3 3 2
0 0 0
2 1 1
1 1 0
1 0 0
1 1 3
10 7
2 1 3
2 0 3
1 3 0
0 0 1
1 1 3
3 0 3
0 1 2
0 2 1
0 3 3
1 3 3
10 6
2 3 3
3 1 3
3 3 1
1 0 5
0 3 5
4 3 5
3 5 1
0 5 3
1 5 5
1 0 1
10 5
4 4 3
2 4 2
4 3 1
1 1 3
4 4 4
1 3 4
2 0 2
0 1 0
4 3 4
0 3 1
10 2
1 1 2
2 1 0
2 0 0
0 0 2
1 0 0
0 1 1
1 2 1
1 2 0
0 1 0
2 0 2
10 5
2 2 2
4 4 0
1 3 1
2 4 5
5 2 1
0 5 5
0 5 4
2 5 3
1 5 5
3 3 5
10 3
2 2 0
3 2 1
3 3 0
0 2 3
1 2 3
2 0 2
0 3 1
0 1 3
2 3 1
3 3 2
10 9
0 0 2
1 1 3
0 0 4
1 3 1
4 2 3
3 4 4
2 2 0
4 1 1
4 0 1
1 1 0
10 6
1 2 3
1 1 0
0 0 3
3 2 3
2 2 1
0 0 0
0 3 1
3 1 1
2 1 0
2 1 2
10 3
0 0 0
2 2 1
1 0 0
1 2 0
0 1 1
2 2 2
0 0 2
1 0 2
2 0 0
2 2 0
10 4
2 3 3
4 1 1
0 3 1
3 2 3
1 3 0
2 4 4
2 3 4
2 3 0
0 4 3
4 0 1
10 7
0 1 1
1 1 2
2 1 0
0 2 2
1 2 0
2 0 0
1 1 0
1 0 2
2 2 2
0 0 1
10 3
1 1 1
0 2 0
2 2 2
1 0 0
0 1 2
2 0 0
0 0 2
2 0 2
2 2 1
0 2 1
10 4
2 1 4
4 4 4
3 1 5
1 0 4
5 1 3
5 4 4
4 0 4
3 1 3
5 5 0
4 3 3
10 5
0 1 2
1 0 1
2 1 2
2 2 3
3 3 1
3 1 1
2 3 2
2 0 2
2 1 1
3 0 1
10 9
1 0 2
0 2 2
1 2 0
2 2 2
0 1 2
0 2 0
0 1 1
0 0 0
1 0 1
2 2 1
10 2
2 0 4
1 3 4
3 2 3
3 0 3
3 1 2
1 3 2
4 2 0
0 2 0
2 1 0
3 2 0
10 6
0 0 0
1 0 1
1 1 2
1 1 1
1 2 2
2 0 2
0 2 0
2 2 0
0 1 0
1 1 0
10 7
4 2 4
0 1 0
3 3 2
4 2 1
2 2 3
4 1 3
2 0 2
1 0 2
0 3 4
1 3 0
10 2
5 4 2
2 3 1
4 1 5
5 3 4
3 2 4
1 1 2
4 3 3
2 0 5
3 0 2
0 5 0
10 4
0 2 0
0 2 1
0 1 0
2 1 0
2 1 1
0 1 2
2 2 0
1 2 2
2 2 1
0 0 0
10 8
3 1 3
0 0 3
2 1 1
2 1 3
3 2 2
1 2 1
3 0 3
3 3 2
2 2 1
2 3 3
10 5
4 0 1
4 1 0
1 4 3
5 2 4
0 0 0
5 2 1
3 0 1
2 0 0
1 3 0
1 2 3
10 9
1 0 1
1 2 2
3 3 3
2 2 1
2 2 0
3 0 3
1 0 2
3 0 1
1 0 0
1 3 2
10 3
2 1 1
0 1 3
0 3 2
0 1 2
0 0 0
1 3 0
2 2 2
2 3 0
2 2 3
3 3 1
10 6
3 2 1
4 2 4
2 5 1
0 4 5
2 1 1
2 2 1
1 4 1
5 2 4
3 1 5
4 1 1
10 7
0 1 0
1 2 2
2 0 2
0 2 1
1 0 1
2 2 0
2 1 1
2 1 2
2 0 1
2 2 1
10 5
1 0 0
5 0 0
4 3 1
3 2 1
2 1 4
1 4 4
2 4 5
5 4 5
3 3 4
2 2 2
10 5
1 0 0
3 1 0
2 0 2
2 1 2
3 3 0
0 3 2
2 3 3
0 2 0
3 0 1
0 1 0
10 3
4 3 0
0 0 4
3 3 1
1 2 4
3 1 1
3 1 3
0 1 2
1 1 2
1 4 1
2 1 3
10 5
2 4 0
0 4 1
2 0 0
0 1 3
0 3 1
2 0 2
2 3 3
2 2 1
4 3 2
2 3 4
10 3
0 2 1
0 1 1
1 0 0
0 0 2
2 1 0
2 1 1
0 1 0
2 2 1
2 0 0
0 2 2
10 4
1 2 0
2 2 0
2 1 1
1 0 2
1 2 2
0 2 1
0 1 2
0 0 0
0 2 0
2 1 0
10 2
2 2 0
3 2 2
0 2 0
2 0 1
0 1 2
0 3 1
3 1 0
1 0 3
3 2 0
1 0 1
10 7
3 0 2
0 2 1
0 1 2
1 0 2
1 3 1
0 0 2
0 0 3
1 0 0
1 1 2
3 0 3
10 6
3 0 1
3 2 2
0 3 1
0 0 2
0 3 3
2 2 3
3 1 3
3 0 2
0 3 2
2 2 2
10 3
2 3 3
0 2 0
1 1 2
3 3 2
3 0 1
3 1 1
0 0 3
0 3 1
0 1 1
0 2 1
10 6
1 2 3
4 0 0
1 1 1
3 0 3
1 0 2
2 3 1
1 3 3
1 2 2
4 2 4
2 2 0
10 8
3 0 1
2 0 0
3 2 1
4 1 4
1 0 0
3 1 1
4 4 1
0 2 4
4 3 2
4 0 2
10 3
3 2 1
1 2 4
4 4 1
3 4 2
2 0 4
4 1 3
2 4 3
3 4 1
4 1 4
4 0 1
10 8
0 1 0
2 1 0
1 0 1
2 0 1
2 2 0
1 1 2
0 1 1
1 2 2
2 2 1
2 2 2
10 8
1 2 2
0 1 0
0 2 0
0 1 2
2 1 0
1 0 0
0 2 1
2 2 2
1 0 1
0 1 1
10 6
3 4 2
1 4 0
1 4 1
3 3 4
2 1 2
0 0 0
4 2 0
0 3 0
0 2 1
4 0 2
10 4
0 3 2
3 3 3
0 1 0
1 1 0
1 0 1
2 1 3
0 1 2
1 2 0
0 2 2
0 0 0
10 3
3 1 2
1 2 4
5 2 0
0 0 0
3 3 3
1 3 1
1 3 2
4 4 3
4 0 2
3 1 3
10 8
2 0 0
4 3 1
3 3 2
5 4 2
1 4 0
2 2 4
0 1 4
3 5 3
1 0 0
3 0 1
10 3
1 1 2
0 1 0
4 2 0
2 0 3
1 0 4
2 3 3
3 2 3
3 2 1
3 4 1
4 1 1
10 8
3 3 1
2 1 3
0 4 4
4 4 1
2 1 2
2 4 3
0 1 0
2 0 4
0 3 0
0 1 4
10 7
2 2 1
4 2 1
3 3 4
4 1 2
0 3 2
1 0 0
4 3 1
0 3 4
1 3 1
4 4 4
10 5
1 0 1
0 2 1
2 0 0
1 2 0
0 1 1
2 2 0
1 1 2
1 2 1
0 0 0
0 0 1
10 4
2 1 0
1 0 2
2 2 2
1 2 1
0 2 1
1 1 2
0 1 2
2 2 0
0 0 0
1 2 0
10 4
3 1 2
3 3 1
3 0 0
0 3 3
0 1 3
1 1 0
1 1 1
3 0 1
3 2 3
1 3 3
10 5
5 2 1
4 5 0
4 3 1
1 5 2
2 5 2
3 2 1
4 5 1
1 2 4
1 2 2
3 1 3
10 4
4 2 1
0 4 5
4 1 4
2 2 1
4 4 1
2 1 3
4 3 1
3 4 3
3 1 0
4 4 0
10 6
0 0 1
1 0 0
2 2 2
0 1 1
1 2 2
2 2 0
2 0 2
1 1 0
1 1 1
1 2 1
10 2
1 1 0
2 1 1
0 3 0
3 1 3
2 2 2
3 0 3
1 3 2
2 1 3
2 0 3
1 3 3
10 9
2 5 2
3 3 3
5 4 5
2 1 2
0 4 5
3 1 1
4 1 3
0 4 2
2 3 1
1 1 2
10 9
2 1 4
2 4 3
5 4 5
0 4 2
3 5 2
3 4 2
3 1 4
0 0 1
0 3 3
2 5 1
10 2
0 2 0
0 0 2
3 2 2
3 3 0
1 2 3
0 1 2
2 1 2
2 2 2
0 0 3
2 1 1
10 5
1 2 1
2 1 0
0 1 3
0 2 0
3 3 1
0 2 2
1 0 3
2 0 0
3 2 2
1 2 2
10 8
1 4 3
3 0 1
4 3 4
0 3 5
0 2 5
2 1 4
1 0 5
5 4 1
4 2 4
2 3 5
10 3
2 2 1
3 1 3
3 3 2
0 2 2
2 3 0
0 0 3
1 1 0
2 3 2
2 0 2
1 3 3
10 6
2 3 0
3 2 2
4 4 0
3 0 0
4 2 1
5 1 4
5 3 2
4 2 2
4 2 0
2 4 5
10 5
0 5 3
3 3 3
4 0 3
5 5 4
3 2 1
1 4 5
3 5 4
3 5 1
0 1 4
2 1 1
10 8
1 2 0
1 0 0
0 1 2
0 2 1
1 0 2
2 1 0
0 0 0
1 0 1
0 2 2
1 1 1
10 4
0 0 1
0 2 1
1 0 1
1 2 1
0 0 2
2 1 0
0 1 1
0 2 2
1 0 2
2 1 2
10 4
4 2 1
2 2 2
5 0 2
1 5 0
0 4 2
0 2 0
4 3 5
4 2 0
1 3 0
3 4 0
10 5
1 2 0
3 2 4
1 4 4
2 1 1
4 1 1
0 3 2
3 4 1
0 3 1
2 0 0
2 3 2
10 3
1 0 4
0 1 3
1 1 2
0 3 2
4 2 1
0 2 4
3 0 1
3 3 0
3 2 2
2 1 0
10 2
2 0 1
2 1 1
0 0 0
2 2 2
1 0 0
2 0 2
0 2 0
0 0 1
0 2 1
1 1 0
10 6
3 3 4
2 4 3
3 4 2
4 0 3
0 2 0
3 1 0
3 4 0
0 2 3
2 4 1
1 1 0
10 7
3 0 0
3 3 4
1 0 4
2 4 4
4 0 4
2 3 1
4 4 0
3 4 4
4 3 0
1 1 3
10 7
0 2 0
0 0 2
1 3 1
0 2 2
3 1 0
3 3 1
1 0 3
0 2 3
0 3 0
3 2 0
10 9
1 1 1
0 1 2
0 1 1
2 2 1
1 1 2
1 0 0
3 0 2
1 3 1
3 2 2
2 2 0
10 4
0 4 2
3 1 4
2 1 1
4 3 2
3 0 1
4 2 1
0 2 4
4 4 0
2 4 3
4 4 2
10 5
5 0 0
2 1 2
4 0 0
1 5 0
4 5 1
5 4 4
2 3 1
4 1 4
3 3 2
5 3 5
10 8
1 3 4
4 2 0
3 1 1
4 3 4
1 3 0
4 4 1
2 0 4
4 4 2
3 4 4
2 4 2
10 3
2 0 1
2 1 2
0 0 0
2 2 1
2 1 0
0 2 2
2 2 0
1 0 1
1 1 0
1 0 2
10 6
0 0 2
0 2 1
3 2 3
1 4 3
4 1 0
1 0 1
0 1 3
1 3 3
3 0 4
4 2 2
10 4
0 1 2
2 1 2
0 2 1
0 0 1
2 1 0
2 2 1
1 0 2
1 1 0
1 2 0
0 0 0
10 7
2 2 0
3 1 1
1 0 0
0 3 2
2 1 0
0 2 2
0 0 2
0 0 0
0 0 3
2 2 3
10 4
4 2 4
1 0 2
4 3 0
0 2 1
3 2 1
3 3 1
2 1 0
4 3 3
1 1 0
0 4 3
10 5
3 1 2
2 3 0
0 1 0
3 0 1
0 2 0
1 2 1
3 1 0
2 0 2
0 1 1
0 0 3
10 8
3 4 1
2 0 2
1 3 1
1 2 4
2 0 3
3 3 4
3 0 3
3 1 0
0 1 0
1 1 3
10 5
2 0 2
0 0 1
2 0 1
3 1 0
3 3 1
2 3 0
0 2 4
3 2 1
1 3 1
4 2 3
10 2
5 0 3
0 5 5
4 4 1
1 1 2
2 0 1
3 4 4
1 2 3
3 1 5
2 4 4
1 0 0
10 3
3 1 3
2 3 2
0 2 2
2 1 1
3 0 2
1 2 2
3 2 0
3 2 2
1 2 3
3 0 3
10 9
3 0 2
2 2 0
0 3 0
0 1 3
2 3 3
1 0 0
0 3 3
1 3 0
1 0 3
2 2 2
10 7
3 3 3
2 0 3
2 0 4
0 2 0
4 0 3
0 1 3
2 0 1
4 1 1
1 3 0
2 4 3
10 8
0 3 0
2 5 4
4 3 4
0 3 1
0 5 1
2 5 5
3 4 1
5 1 0
5 3 2
3 2 1
10 8
3 1 1
3 0 0
3 3 0
3 1 3
2 2 3
2 1 3
1 2 1
3 0 1
1 2 0
2 3 3
10 2
4 3 0
4 1 2
4 0 3
3 3 3
2 1 3
3 0 0
4 4 2
4 3 4
4 1 3
1 3 2
10 6
1 0 2
3 3 0
1 0 0
3 1 1
3 3 1
2 0 3
0 1 3
2 0 2
1 3 1
1 1 1
10 3
0 1 2
1 0 0
0 2 0
1 0 1
0 2 2
0 0 2
2 0 2
0 1 1
0 0 1
2 2 2
10 2
0 2 1
2 1 2
1 1 2
0 1 2
2 1 1
1 2 2
1 1 1
1 0 0
0 2 2
1 0 1
10 9
1 2 2
1 2 3
2 3 3
2 3 2
1 3 4
2 1 4
0 4 0
5 3 0
1 4 1
2 1 1
10 7
5 0 2
3 5 4
3 4 5
2 5 4
4 4 0
3 4 3
5 1 2
3 4 2
3 5 2
1 3 0
10 5
3 2 0
0 2 3
1 3 2
0 3 2
3 0 2
0 1 0
2 3 2
1 1 1
1 2 0
3 2 1
10 3
3 3 0
2 0 0
0 3 2
3 1 1
1 1 2
0 3 0
2 1 3
3 2 3
1 1 1
3 2 1
10 7
5 1 0
1 5 3
0 1 4
0 0 4
2 1 3
5 4 3
5 0 0
3 0 3
2 0 1
5 5 5
10 9
2 0 4
1 2 3
3 2 0
3 3 2
1 3 2
3 4 2
0 2 0
2 3 4
3 4 4
1 4 3
10 2
3 2 0
1 4 0
0 0 1
1 2 1
1 3 4
4 1 3
1 2 0
1 0 1
1 3 0
4 0 3
10 3
3 4 2
0 4 4
4 4 1
2 3 4
1 1 2
4 3 4
1 1 1
5 4 1
2 2 1
4 2 0
10 2
2 0 1
1 1 2
0 0 2
1 1 0
1 1 1
2 2 1
2 2 0
0 2 2
1 2 1
0 1 2
10 5
1 1 0
0 3 2
5 2 3
0 4 3
3 5 2
4 0 0
4 3 1
4 1 1
2 4 2
5 2 2
10 5
0 2 2
2 0 4
2 0 2
3 2 0
4 4 4
0 1 1
3 1 3
3 3 0
4 1 3
2 3 0
10 6
0 5 1
0 1 4
1 5 1
2 5 5
1 4 0
4 1 2
1 0 3
1 1 0
4 2 3
5 5 4
10 5
1 0 0
0 1 1
3 1 3
0 3 0
2 0 2
1 2 3
2 3 2
1 2 1
1 0 3
3 2 0
10 9
0 2 0
2 1 2
2 0 1
0 2 1
1 0 2
2 2 1
2 0 0
0 0 1
1 2 0
0 1 2
10 4
3 2 1
0 2 0
3 3 0
2 3 4
2 2 2
1 4 1
2 0 2
4 0 4
0 3 0
2 1 1
10 6
3 2 2
2 2 5
4 0 1
3 0 0
2 3 0
3 4 0
0 5 2
4 5 5
1 4 2
4 5 0
10 3
1 0 0
1 3 0
0 0 1
0 3 1
2 0 1
1 2 2
3 2 1
3 2 0
3 3 0
1 3 2
10 3
0 1 2
3 3 2
1 0 1
2 1 2
1 0 3
1 3 2
0 3 0
1 1 1
0 3 3
2 3 1
10 8
5 1 4
1 3 2
5 1 2
4 2 1
5 1 3
4 4 0
5 0 0
3 4 5
1 2 2
5 3 3
10 7
2 4 0
3 3 3
3 1 2
1 4 1
4 2 0
0 3 2
2 2 2
2 2 0
2 1 0
3 1 0
10 7
1 2 2
0 1 3
1 0 2
1 2 1
2 0 2
2 2 3
3 0 0
2 3 2
2 2 1
1 1 0
10 8
2 3 0
3 3 2
2 3 3
1 0 3
0 3 1
1 2 2
2 2 1
0 3 3
2 3 1
3 3 0
10 8
0 3 1
0 3 0
4 3 3
1 2 1
1 3 3
2 0 1
3 2 0
2 1 0
1 1 0
2 3 0
10 7
0 1 2
1 1 1
0 0 1
1 2 0
2 2 2
0 2 2
2 1 2
2 2 0
1 1 0
2 1 0
10 7
2 2 2
1 2 1
2 2 0
0 1 1
2 0 2
0 0 0
1 2 0
0 0 1
2 2 1
1 0 2
10 6
0 1 2
1 2 2
0 1 0
0 2 2
2 2 0
1 0 1
0 2 1
2 1 2
0 1 1
2 2 1
10 6
0 2 0
2 2 1
0 0 2
2 0 1
1 2 1
1 1 2
2 2 0
0 2 2
1 1 1
2 2 2
10 5
1 3 0
2 3 0
3 1 3
3 1 4
2 3 4
4 2 4
4 4 4
1 3 4
1 4 1
1 2 0
10 6
3 0 3
3 1 2
2 2 4
1 3 3
1 2 4
4 2 3
0 3 2
2 4 3
1 4 2
3 3 3
10 7
2 3 0
4 2 3
2 0 1
1 2 0
2 3 3
3 2 1
4 2 4
0 3 2
3 2 3
0 1 0
10 7
1 2 1
0 2 0
0 1 2
2 0 0
1 1 2
1 1 0
0 0 0
0 2 2
2 2 2
1 0 0
10 3
2 3 2
3 1 1
1 1 0
3 3 2
3 2 3
0 0 3
2 2 0
3 2 2
3 3 3
3 3 0
10 3
0 0 4
2 2 4
5 5 4
2 3 0
1 2 5
0 3 1
2 1 2
3 1 1
4 1 4
3 3 0
10 8
1 3 3
3 1 0
1 1 1
1 2 3
0 3 1
1 2 0
0 0 0
2 0 2
1 0 3
1 0 0
10 3
1 0 1
1 0 2
1 1 2
0 0 1
2 2 0
0 0 0
2 2 1
0 1 2
1 0 0
1 1 1
10 2
0 3 0
0 0 1
4 3 4
2 2 1
1 1 3
4 4 0
4 1 2
3 0 4
3 2 3
1 1 2
10 4
4 1 1
1 5 1
1 1 0
4 3 5
2 3 0
1 0 4
5 0 1
3 0 2
2 1 2
1 3 0
10 6
3 3 0
3 3 2
0 1 3
3 2 1
1 2 1
2 0 3
3 0 0
3 2 3
0 0 0
2 3 0
10 4
2 2 2
1 0 1
2 2 0
1 1 2
1 0 2
2 2 1
1 1 0
2 1 2
2 1 0
1 0 0
10 6
1 3 0
3 1 1
3 0 0
0 2 2
2 3 3
2 3 1
3 2 1
0 0 2
1 3 2
0 1 1
10 8
2 2 0
1 2 0
1 1 0
0 0 2
0 0 0
0 1 0
2 0 1
2 2 2
2 1 1
1 0 1
10 5
3 1 0
0 1 0
1 2 0
1 0 3
2 3 2
3 1 2
0 0 1
2 3 1
0 2 0
2 1 1
10 4
4 1 2
1 2 2
4 0 3
1 3 1
3 2 3
3 1 1
1 1 3
4 0 1
2 0 2
0 1 3
10 6
2 2 0
2 1 2
1 2 0
0 1 2
1 0 0
2 2 1
2 1 0
0 2 1
1 0 1
2 0 1
10 6
3 3 3
2 3 2
0 3 1
1 1 2
3 1 3
0 0 2
1 3 0
2 2 2
0 0 3
0 1 2
10 7
0 1 3
3 3 0
2 2 2
0 0 1
0 1 0
1 2 3
1 2 1
3 0 2
3 0 1
3 2 1
10 2
4 1 5
4 3 1
0 3 1
1 1 1
2 1 3
1 3 2
3 0 4
0 4 4
3 0 2
3 5 3
10 7
3 2 3
2 1 0
1 0 0
1 3 1
1 1 1
3 0 2
0 2 3
2 0 0
2 3 0
1 2 2
10 4
1 1 0
2 0 0
1 0 1
1 2 1
0 1 2
0 0 2
2 1 1
0 1 1
2 0 1
1 1 1
10 8
4 0 2
1 2 2
0 2 2
0 1 3
3 1 0
1 0 2
2 5 1
4 4 4
1 1 5
5 1 3
10 8
2 2 1
3 1 2
3 1 0
0 2 1
0 3 1
1 0 0
1 0 2
3 0 3
2 3 2
3 3 0
10 5
0 1 0
1 1 2
1 1 0
2 0 1
2 1 0
0 2 1
1 2 2
0 1 2
1 2 0
0 2 0
10 6
2 2 1
0 3 3
1 0 2
1 0 0
0 1 5
0 3 5
0 0 1
5 4 2
2 0 5
0 4 1
10 4
1 1 1
3 1 1
2 3 1
1 3 0
2 3 0
3 2 3
0 1 0
1 2 3
1 3 1
3 1 0
10 8
1 3 3
0 3 2
1 0 0
1 0 3
3 1 1
3 0 3
3 0 1
0 0 3
2 3 0
2 2 2
10 6
3 1 1
1 3 1
1 2 0
1 0 0
2 2 2
1 3 2
2 1 2
1 3 3
0 1 0
2 3 2
10 8
1 1 2
3 4 5
1 3 0
2 4 3
3 1 3
0 2 2
2 0 4
1 5 4
1 4 4
5 1 0
10 2
1 0 3
1 2 3
2 0 3
1 1 1
3 0 1
0 3 0
3 3 3
3 0 0
2 2 0
3 3 1
10 7
0 1 1
2 1 1
0 1 2
2 2 1
1 2 1
0 0 1
1 1 1
0 0 2
0 2 0
0 0 0
10 3
0 2 2
0 2 1
1 2 2
1 2 1
2 2 0
1 3 2
0 4 0
4 0 4
2 2 1
2 4 4
10 2
0 2 2
2 3 1
2 1 2
3 2 3
1 1 1
3 1 3
0 1 0
1 1 2
0 0 0
3 2 0
10 4
3 2 1
0 1 4
3 1 1
3 3 1
0 4 4
1 2 4
2 1 0
4 0 2
3 4 4
1 2 1
10 3
2 1 5
4 3 1
3 5 2
1 0 5
3 4 0
4 4 4
3 1 3
5 1 5
0 1 2
4 0 0
10 2
4 3 5
5 1 5
0 4 3
0 1 4
1 5 5
5 3 1
1 1 3
5 3 3
5 5 5
5 5 0
10 7
0 0 1
0 1 2
1 1 3
0 2 3
1 3 3
2 1 1
0 3 1
0 1 3
1 2 1
2 0 1
10 3
0 3 1
4 2 0
0 4 2
1 3 1
0 3 2
4 1 1
3 4 1
2 4 3
4 2 1
3 2 0
10 5
0 2 3
2 1 4
0 1 5
4 5 5
0 2 2
0 5 1
4 3 3
4 5 1
2 5 0
5 1 3
10 7
1 1 2
1 2 0
2 0 2
2 1 0
2 2 1
0 0 2
0 0 0
1 0 2
0 0 1
1 1 0
10 6
4 2 4
0 1 1
0 0 2
4 3 1
3 4 0
3 2 4
3 0 4
0 0 0
4 1 0
0 4 2
10 9
1 0 3
0 4 2
2 0 0
2 3 1
4 3 0
2 2 2
2 1 0
2 1 1
0 1 3
0 0 4
10 9
3 4 2
0 3 3
4 1 4
3 2 3
4 0 3
4 2 2
4 2 3
2 3 4
4 4 0
0 4 2
10 3
1 0 1
0 1 2
2 1 0
0 0 1
0 1 1
2 1 1
2 2 1
1 1 0
0 1 0
2 2 0
10 6
1 2 1
1 0 2
1 2 2
1 2 0
0 0 0
2 0 2
2 2 2
0 1 2
2 0 0
1 1 1
10 7
3 2 5
5 0 2
4 2 0
1 2 3
0 1 2
2 1 4
5 5 0
4 0 1
0 4 3
4 3 3
10 2
2 3 2
3 2 2
0 1 2
0 2 0
0 3 2
2 1 2
0 1 1
0 3 1
2 0 1
0 0 2
10 9
0 0 3
2 1 2
0 0 2
1 1 3
2 0 2
2 3 2
1 1 1
2 0 0
1 3 0
2 0 1
10 9
2 2 2
1 3 3
1 0 1
0 0 3
0 3 0
0 1 1
0 2 0
2 1 1
1 2 0
0 1 0
10 7
1 5 2
1 0 4
4 4 2
3 1 0
4 0 1
1 5 0
3 0 5
2 3 4
3 4 1
2 0 0
10 7
0 0 5
0 5 5
2 0 1
1 2 0
5 4 1
2 2 3
1 3 2
3 3 5
4 4 0
1 4 5
10 2
0 1 1
0 1 2
1 1 2
2 1 1
0 1 0
1 0 0
1 1 1
1 0 2
1 1 0
2 2 0
10 2
0 2 0
2 0 2
3 1 0
1 0 3
2 3 0
3 3 1
1 1 0
1 0 0
2 2 3
2 1 3
10 6
2 2 1
1 2 0
2 2 2
1 1 0
0 1 2
0 1 1
2 0 2
1 0 0
0 2 2
1 0 1
10 9
2 1 1
0 1 0
1 0 1
0 2 2
1 1 0
1 0 0
1 2 1
2 2 0
1 0 2
1 2 0
10 5
2 1 1
2 1 0
0 0 2
1 2 1
2 1 2
0 1 2
2 2 1
0 0 0
1 1 1
1 2 0
10 8
5 0 1
2 3 1
2 0 1
4 5 3
5 4 1
5 2 1
1 3 0
0 2 5
1 4 3
3 2 5
10 7
0 2 1
1 2 1
0 0 0
2 2 0
2 2 2
0 0 2
1 1 1
0 2 0
0 0 1
1 2 0
10 8
3 3 0
0 1 1
1 2 1
1 2 3
0 3 2
2 2 2
1 1 1
2 2 1
2 0 2
3 3 1
10 4
1 0 0
0 2 0
0 0 1
2 1 1
2 2 0
1 1 0
0 1 1
1 0 1
0 1 2
2 0 2
10 5
3 2 3
5 5 3
3 5 1
2 2 1
1 3 2
4 0 5
2 2 5
2 2 4
3 0 2
4 5 2
10 3
0 3 1
4 4 3
4 0 2
1 1 5
3 1 3
5 0 5
2 3 3
0 5 3
1 0 0
4 5 3
10 5
5 2 1
5 1 2
4 0 3
3 5 0
4 1 1
2 4 5
1 1 5
5 3 5
3 2 4
0 4 5
10 6
2 5 3
4 3 0
4 1 0
4 2 5
2 4 1
5 1 5
0 2 3
1 4 5
1 3 4
3 0 5
10 4
1 0 0
0 4 3
2 3 2
0 2 2
2 2 2
0 4 2
2 2 1
4 3 3
1 1 2
2 4 0
10 3
3 1 2
2 1 2
1 0 2
0 0 0
0 3 0
2 2 0
3 1 1
3 1 0
2 2 3
0 1 3
10 3
0 2 0
4 4 2
3 2 2
2 1 5
5 4 0
3 5 3
0 3 5
3 1 4
5 2 2
4 0 1
10 4
4 0 0
4 2 0
3 2 0
4 4 3
1 1 2
3 4 3
2 0 3
2 0 1
1 4 1
3 0 4
10 5
1 1 0
0 0 1
1 2 0
0 1 0
0 2 0
2 1 1
0 0 0
0 2 1
0 2 2
0 0 2
10 5
1 2 0
3 0 1
0 0 0
3 2 0
3 0 0
0 0 3
0 0 1
2 3 2
2 0 3
3 0 3
10 3
1 2 2
2 0 1
2 2 0
0 1 0
0 0 2
0 2 1
1 1 1
2 2 1
1 2 1
1 0 1
10 5
0 0 2
0 2 0
0 0 1
1 2 0
1 1 1
1 0 1
2 1 1
0 2 1
1 1 0
0 2 2
10 4
1 1 2
0 2 2
2 2 2
0 2 0
2 0 1
2 1 2
1 0 1
0 1 0
0 2 1
1 2 0
10 6
0 2 2
2 0 2
2 0 1
0 0 1
2 2 2
0 2 0
1 0 1
1 1 2
0 1 2
2 1 1
10 3
3 3 3
0 0 1
3 3 2
2 0 0
2 0 3
3 2 0
2 3 0
0 0 2
3 2 2
1 1 2
10 4
0 4 4
3 2 0
2 3 3
4 3 1
3 1 1
4 2 0
3 0 3
1 1 4
0 0 1
1 0 3
10 8
1 0 2
0 1 0
1 0 0
1 0 1
0 2 2
2 2 1
2 1 1
1 1 2
0 1 1
2 0 0
10 3
0 1 2
1 2 2
1 2 1
3 2 1
1 3 1
1 2 3
0 1 3
3 3 2
1 0 2
1 3 2
10 6
1 3 1
2 3 0
1 0 0
2 2 0
1 0 1
2 3 2
3 1 3
3 1 1
2 2 3
1 1 0
10 8
1 2 0
2 2 1
2 1 1
2 0 0
1 0 0
0 2 0
0 2 2
0 0 2
2 0 1
1 1 1
10 4
2 4 2
2 2 2
0 3 3
3 0 2
1 4 0
0 4 2
4 2 0
2 3 4
1 2 1
1 1 0
10 5
0 0 0
0 2 2
1 0 0
1 2 2
0 2 1
2 1 0
1 0 2
2 0 2
1 1 0
0 0 1
10 2
1 3 0
0 0 1
2 0 2
1 3 1
2 0 0
0 3 3
3 2 1
1 2 0
3 0 1
1 0 0
10 4
2 1 4
0 0 2
2 3 1
3 3 1
3 3 0
4 0 1
4 4 3
3 0 4
1 3 2
4 3 0
10 7
0 3 4
4 2 5
2 0 0
5 5 4
2 4 4
4 3 0
2 2 5
0 0 4
4 1 3
3 5 1
10 9
2 2 3
3 2 4
3 0 2
3 3 2
4 3 0
3 2 0
0 1 0
3 2 3
3 4 2
4 0 4
10 3
0 1 0
2 0 0
1 0 0
2 1 0
1 2 0
2 2 1
0 1 1
0 2 2
0 2 1
0 0 1
10 7
3 0 0
1 2 3
3 0 2
0 0 1
2 0 3
2 3 3
0 1 2
1 1 1
0 1 3
0 1 0
10 9
3 1 2
3 2 1
0 0 0
2 2 1
1 1 0
1 0 1
3 0 0
1 2 2
1 0 0
2 0 3
10 8
1 0 2
1 2 0
3 2 1
1 1 2
0 0 2
0 3 2
2 1 1
2 0 0
0 1 0
3 3 3
10 8
2 2 0
2 1 1
0 2 0
1 1 2
1 2 1
0 1 0
1 1 1
2 2 1
2 1 0
2 1 2
10 7
4 5 1
1 5 2
2 3 4
0 2 5
3 1 4
0 5 5
4 0 0
2 2 1
1 0 0
1 2 3
10 7
0 0 5
1 3 3
2 3 5
2 0 5
3 2 2
5 3 2
2 2 2
5 0 4
3 2 0
1 3 0
10 8
0 0 1
1 0 4
1 4 4
0 1 4
3 3 2
1 4 3
0 1 2
1 4 0
1 5 2
5 4 3
10 6
0 3 2
2 0 0
3 0 0
1 0 1
3 3 0
1 0 0
1 1 2
0 3 1
2 1 1
1 3 0
10 3
5 4 0
1 0 2
5 1 3
0 0 5
2 4 4
3 0 2
0 5 3
1 5 3
4 4 5
1 4 3
10 4
0 0 0
0 3 2
2 3 2
1 3 0
3 0 2
1 0 1
1 0 3
0 0 2
3 3 0
3 0 1
10 4
3 1 3
5 3 5
4 2 0
1 0 5
2 1 1
3 1 4
0 0 3
0 0 5
3 3 2
0 0 4
10 3
0 2 1
2 2 0
0 2 0
0 1 0
1 0 1
2 0 0
2 2 1
2 1 0
1 2 0
1 1 0
10 3
4 4 3
2 3 0
3 2 2
3 0 4
0 1 4
3 1 1
1 2 0
4 3 0
3 2 1
4 1 4
10 9
0 0 3
1 3 3
3 2 3
0 0 0
1 0 2
3 3 2
0 2 0
2 2 0
0 3 2
3 2 2
10 5
1 3 2
2 0 0
1 2 1
3 1 0
0 3 1
0 0 0
0 0 2
1 3 1
0 1 1
3 1 2
10 8
4 3 5
5 1 1
5 0 5
5 3 3
5 2 4
1 4 0
1 1 4
0 0 1
1 0 2
4 0 3
10 8
3 4 0
4 2 0
4 3 1
4 3 0
4 1 0
5 4 2
4 4 3
0 4 5
2 1 0
5 0 1
10 6
4 3 4
0 0 4
4 2 1
0 2 1
3 0 1
3 4 1
2 3 4
0 2 0
4 2 4
1 2 1
10 5
2 0 3
2 3 0
3 2 1
0 3 0
0 1 0
3 1 0
2 2 2
0 0 2
3 0 2
3 3 3
10 7
1 0 4
3 4 4
1 3 3
2 4 4
4 1 2
1 4 0
3 0 1
4 4 1
3 0 0
2 0 3
10 6
0 2 2
2 1 1
0 0 0
0 2 1
1 0 2
1 2 0
0 1 0
1 2 2
2 2 1
1 1 2
10 4
3 3 2
5 0 0
3 2 3
3 3 5
2 3 0
0 0 4
3 0 0
5 4 2
5 3 1
0 5 5
10 4
0 0 3
0 2 3
0 0 2
2 2 3
3 3 2
0 1 2
1 0 0
3 3 1
1 2 1
1 1 2
10 7
0 2 1
0 2 0
2 1 0
1 1 2
1 1 0
1 0 0
1 2 0
2 0 0
2 2 1
2 2 2
10 9
3 2 1
0 3 0
3 2 2
1 2 0
1 3 3
3 2 3
1 3 0
0 3 1
1 1 3
3 3 0
10 3
0 1 1
1 2 0
1 2 1
2 2 2
0 0 0
0 0 1
2 1 2
2 2 0
0 2 0
2 0 2
10 5
3 4 5
5 2 3
0 0 5
2 0 3
3 3 2
4 2 5
0 3 1
1 3 0
5 5 4
0 5 5
10 6
4 0 2
4 4 4
0 3 4
2 2 3
1 4 2
0 3 3
0 1 2
0 2 0
1 0 1
2 4 1
10 7
4 4 2
0 1 1
0 4 3
0 2 1
0 1 0
3 3 3
3 2 3
3 2 1
0 3 1
1 0 2
10 9
0 0 1
0 0 2
1 0 0
0 0 0
2 0 1
0 1 1
2 0 0
1 1 0
2 1 1
1 0 2
10 4
5 4 4
0 3 4
2 1 2
0 5 5
4 3 5
5 0 4
3 1 0
2 5 5
3 2 2
2 4 0
10 9
0 0 4
4 3 1
0 0 1
3 2 3
4 2 2
2 3 3
3 1 3
4 0 3
1 1 4
2 2 1
10 5
2 3 4
4 4 2
0 3 4
3 3 1
4 0 0
4 0 1
2 4 2
2 3 2
0 3 1
2 0 1
10 6
1 3 3
2 3 2
2 3 1
0 2 2
3 3 3
0 1 3
0 0 1
0 3 2
3 2 3
2 1 1
10 7
2 1 3
1 2 2
0 1 0
3 3 2
3 0 2
1 2 1
0 1 2
0 0 2
2 0 3
2 1 1
10 8
0 4 0
3 1 1
4 4 0
2 0 4
4 0 0
1 3 2
4 3 4
1 2 4
2 2 0
4 2 1
10 8
0 1 0
0 3 2
2 1 0
1 1 3
2 4 3
4 4 1
0 3 4
2 0 0
1 4 4
1 2 0
10 4
1 2 0
2 2 0
2 0 2
0 1 1
2 2 1
1 1 2
1 1 0
0 0 2
2 1 1
2 1 2
10 8
2 1 0
2 2 0
0 0 1
2 2 1
2 1 2
0 1 0
2 1 1
0 1 2
0 0 0
1 2 0
10 3
0 1 1
1 1 0
1 1 2
2 2 2
2 0 2
1 2 1
0 0 2
2 0 1
0 2 2
1 0 1
10 5
2 2 1
1 0 1
0 1 0
0 2 2
2 1 0
2 1 2
1 2 2
0 2 1
1 1 2
0 1 1
10 9
5 2 1
2 4 3
0 1 3
3 5 1
1 5 2
4 5 5
1 0 5
4 4 1
1 3 1
2 3 4
10 9
3 3 2
0 3 2
2 2 1
2 1 0
4 1 1
4 2 2
2 4 3
1 3 0
2 2 0
3 1 4
10 6
5 4 3
2 3 5
4 4 3
2 0 0
1 4 5
0 3 1
4 0 4
4 3 1
4 5 3
1 0 4
10 3
3 4 3
0 1 2
4 1 2
1 3 3
1 3 0
4 4 0
2 4 4
3 2 0
2 2 4
4 2 4
10 2
5 2 1
1 0 4
5 5 0
5 0 1
1 2 5
2 3 5
2 1 5
5 5 5
4 3 2
3 2 2
10 8
3 4 3
0 4 4
3 2 2
1 4 2
2 3 4
1 3 0
0 3 0
2 4 1
1 4 0
4 3 4
10 9
2 1 2
0 1 3
1 0 1
0 0 2
1 1 2
0 2 1
3 1 2
2 2 1
1 2 1
0 2 0
10 9
1 1 0
3 2 0
1 0 1
3 0 0
3 2 3
2 2 0
3 3 0
3 3 1
0 3 2
0 3 3
10 4
0 0 1
0 3 3
3 1 3
2 0 1
2 0 0
3 3 2
2 1 2
2 1 0
0 2 0
1 2 1
10 4
0 2 1
2 1 2
0 0 3
2 1 0
3 2 0
2 3 2
2 3 1
2 3 3
3 2 2
0 3 3
10 7
2 4 4
0 2 3
1 4 3
1 1 1
4 1 3
2 2 0
1 1 0
3 4 0
3 2 2
1 4 0
10 2
4 0 1
1 0 3
3 1 4
2 3 0
3 0 2
0 2 0
2 4 0
1 0 4
0 1 1
2 1 4
10 7
0 1 1
0 2 3
3 3 3
1 3 2
2 0 3
2 0 2
2 0 0
2 3 2
0 0 1
1 3 1
10 7
2 1 0
1 2 1
2 0 0
0 1 2
1 2 0
1 2 2
2 2 0
0 2 1
0 0 2
1 0 1
10 8
2 0 0
0 0 2
0 5 5
5 0 1
3 4 2
5 0 5
1 3 3
4 0 5
2 0 4
3 5 2
10 2
3 3 2
2 0 1
2 1 2
1 0 0
0 1 2
3 1 3
0 3 3
2 1 1
0 2 0
3 3 0
10 3
5 4 3
0 5 3
3 5 0
5 5 5
2 0 0
0 3 4
0 0 2
4 5 1
1 5 2
5 0 1
10 4
3 2 1
1 2 2
1 3 0
3 0 3
1 3 1
1 1 1
2 1 2
0 3 1
0 2 0
0 1 3
10 5
1 2 0
2 1 3
2 4 0
0 2 4
2 0 4
0 4 3
2 1 2
2 0 1
0 3 1
1 3 4
10 4
3 3 5
5 5 2
0 2 0
4 3 1
3 3 0
4 2 4
1 3 4
0 4 2
4 2 1
1 3 2
10 9
0 0 2
1 2 0
2 1 1
0 0 1
2 2 2
2 2 0
2 0 2
1 1 0
2 2 1
0 1 1
10 3
0 1 3
0 4 4
2 1 0
4 2 0
2 0 0
2 0 4
1 0 4
1 0 2
4 3 4
2 1 1
10 7
4 4 2
3 5 2
2 4 1
2 3 1
3 4 5
0 4 5
3 4 3
2 1 1
3 2 5
5 5 0
10 2
4 3 0
1 1 1
3 4 1
2 1 4
2 3 1
4 1 2
3 0 2
4 2 4
3 3 1
0 3 4
10 8
3 1 1
1 1 1
1 2 0
0 3 0
3 1 3
0 3 1
3 3 3
0 0 3
3 1 0
2 2 3
10 4
2 4 4
4 3 3
3 1 4
1 4 4
5 2 5
0 0 3
1 5 1
4 4 4
5 3 5
2 0 3
10 9
3 0 3
2 3 2
2 3 3
1 0 3
0 0 3
3 1 0
3 2 2
1 3 0
0 0 1
0 3 1
10 9
2 0 0
0 3 0
0 1 0
3 3 0
0 2 2
0 1 1
1 1 1
0 0 3
0 1 2
0 0 2
10 4
0 2 2
4 1 4
4 3 3
3 3 4
4 2 3
1 4 0
1 0 1
1 3 1
1 2 4
4 2 1
10 8
1 0 0
0 2 2
2 1 2
0 0 0
0 2 0
1 1 1
0 1 2
2 0 1
1 0 1
1 0 2
10 5
5 4 3
3 0 4
1 1 5
5 3 4
3 1 2
5 1 5
5 5 5
3 5 5
1 5 1
2 0 5
10 9
1 3 4
4 1 2
2 1 4
1 0 0
1 0 3
3 3 2
4 0 2
3 1 3
1 1 4
4 4 2
10 9
2 2 0
0 1 2
3 3 3
1 2 2
2 1 1
3 1 2
1 0 2
1 1 2
2 0 3
2 1 0
10 8
1 1 3
0 4 1
1 2 1
0 0 2
1 0 3
2 0 1
2 4 2
1 4 0
0 2 0
4 3 2
10 2
2 1 1
1 1 2
2 1 0
0 0 0
0 2 3
1 3 0
3 2 1
2 3 3
1 1 1
1 2 3
10 3
2 5 1
3 0 4
5 4 2
2 4 5
1 0 5
1 3 4
0 5 2
0 3 5
1 2 4
3 3 3
10 8
2 1 1
2 2 2
3 2 0
1 1 2
0 3 0
0 1 3
3 1 1
1 3 3
3 3 3
0 0 0
10 6
1 2 2
2 2 1
0 0 2
2 1 2
2 2 0
2 1 0
0 2 1
1 0 0
0 2 0
2 0 1
10 4
0 0 1
0 0 2
1 2 1
0 1 0
1 0 0
1 1 0
0 2 1
0 0 0
0 1 1
2 0 1
10 6
4 2 4
3 1 2
0 2 3
2 5 3
3 1 3
3 1 0
1 2 4
3 0 2
1 2 0
1 4 1
10 2
2 1 2
0 2 0
2 0 1
1 0 1
0 0 0
0 0 2
0 0 1
2 0 2
2 0 0
0 1 2
10 8
0 0 1
0 2 0
0 1 1
1 2 0
1 0 2
2 0 2
2 1 1
1 1 1
0 1 0
2 1 0
10 2
0 1 2
0 4 3
4 4 2
1 4 3
3 1 4
0 3 3
1 1 2
0 0 3
3 2 0
2 1 1
10 2
1 1 3
2 4 3
4 3 4
3 2 3
1 5 1
5 1 3
2 2 5
5 4 4
3 2 4
2 2 0
10 9
2 3 0
1 3 4
2 2 3
0 0 3
4 0 0
3 2 1
0 2 0
0 3 0
1 0 2
0 2 1
10 2
2 2 2
0 2 1
0 2 0
2 0 1
2 1 2
2 0 0
0 0 1
2 2 0
1 1 0
1 0 1
10 3
2 1 3
3 2 3
2 0 1
2 3 0
1 3 0
2 3 2
2 2 1
1 1 3
1 0 3
0 0 0
10 7
3 0 3
1 2 0
2 2 3
1 1 0
3 1 2
0 2 2
2 3 1
1 3 3
2 0 0
2 0 2
10 4
3 2 2
1 0 2
1 0 1
3 3 2
0 2 3
3 0 0
2 0 0
0 1 0
3 0 1
2 3 3
10 4
1 3 1
0 2 3
2 0 4
1 4 5
3 2 5
5 0 4
1 4 2
0 1 4
5 3 2
4 1 5
10 3
2 2 3
1 2 0
1 0 0
2 0 1
1 3 3
2 1 3
0 0 3
2 3 1
3 1 1
0 2 1
10 8
0 1 2
1 0 2
0 2 2
1 1 1
2 1 0
2 0 0
2 0 2
1 2 0
0 2 1
0 0 1
10 3
1 2 2
4 3 1
4 2 4
1 0 3
2 2 0
2 4 4
3 4 3
0 1 1
3 4 0
3 2 1
10 8
4 1 4
0 3 3
4 4 1
4 2 1
3 2 1
4 0 2
3 3 1
1 1 2
4 2 0
2 0 2
10 5
1 4 2
2 2 0
1 2 1
1 4 3
1 3 1
0 0 2
2 1 0
2 0 4
2 1 1
3 3 0
10 9
2 1 1
0 1 1
1 0 0
0 0 1
1 2 0
1 2 2
0 1 0
1 1 1
0 2 2
2 2 1
10 8
4 5 0
5 1 5
5 2 1
4 2 2
3 4 0
5 1 3
1 4 5
5 3 5
1 4 3
1 4 2
10 4
0 0 1
1 2 2
2 0 1
2 0 0
2 1 2
1 0 1
1 1 2
0 1 0
0 2 1
1 0 0
10 5
2 1 1
5 4 4
1 0 4
1 2 4
4 3 4
5 0 0
0 2 0
5 5 5
3 5 2
5 4 1
10 7
3 4 5
1 3 2
4 4 4
1 0 4
0 3 2
3 2 4
1 2 3
1 2 1
2 2 1
0 4 2
10 3
1 4 2
3 3 0
2 2 4
1 2 4
0 4 0
3 0 1
0 1 2
2 3 1
3 0 2
2 1 0
10 2
1 5 2
3 1 3
4 3 3
3 2 5
1 5 0
1 0 1
5 3 4
0 5 5
0 1 1
4 3 2
10 5
0 1 1
0 1 2
2 0 0
1 1 0
2 1 0
1 1 1
2 1 2
1 2 0
2 1 1
2 2 1
10 7
0 0 1
1 0 2
0 0 2
1 2 0
1 1 0
0 1 2
0 1 1
0 2 2
2 0 1
2 1 1
10 5
0 0 3
1 2 0
2 2 0
3 3 0
1 1 3
0 0 1
1 1 2
0 3 0
1 3 1
1 2 2
10 2
0 2 1
1 0 4
0 2 3
2 4 2
4 4 1
4 3 1
0 4 3
1 3 4
0 1 0
4 2 1
10 2
1 0 3
2 3 2
0 2 2
2 1 3
2 0 0
3 1 3
1 2 3
3 3 3
0 3 3
1 1 2
10 2
2 0 3
1 2 3
2 2 1
3 0 1
3 3 0
0 3 3
0 1 1
2 3 2
3 2 3
0 1 2
10 8
2 2 0
1 0 1
0 2 0
1 0 2
1 1 1
0 2 2
1 1 0
2 0 1
2 1 1
2 1 0
10 2
5 4 5
0 3 3
2 3 2
1 5 2
1 3 0
4 5 1
2 2 0
0 3 4
2 3 0
1 2 4
10 2
1 1 0
2 0 3
1 3 0
1 0 2
2 0 1
0 1 3
2 3 2
2 3 3
1 2 0
1 2 2
10 5
2 1 3
3 2 1
1 3 3
0 3 0
3 1 3
1 1 2
1 2 0
2 0 2
1 3 2
0 3 1
10 5
4 4 3
3 1 2
1 2 1
4 5 0
4 0 2
2 1 1
5 3 0
0 4 0
5 1 1
3 1 1
10 5
3 2 0
1 3 0
2 2 2
2 3 3
2 0 2
3 0 3
3 1 1
2 2 3
0 2 1
1 0 3
10 2
3 4 2
3 1 1
5 0 1
3 4 3
0 0 5
1 1 4
5 5 1
3 5 3
2 3 1
5 5 4
10 5
5 1 5
0 1 0
1 1 2
5 5 0
0 2 1
5 1 2
2 0 0
0 4 4
1 1 4
4 3 1
10 2
0 3 5
1 1 1
2 2 4
5 4 1
1 3 0
5 5 0
4 3 5
4 5 4
2 4 0
4 4 1
10 3
3 0 3
4 0 1
4 2 3
2 1 2
1 4 2
0 1 2
4 4 4
1 2 1
3 3 3
2 3 3
10 4
0 2 2
1 2 0
0 0 2
2 1 0
0 2 1
2 0 0
1 0 2
0 0 1
2 2 2
2 0 2
10 4
3 0 3
2 0 5
4 2 0
4 4 4
2 1 1
0 3 2
2 3 0
4 1 4
1 5 2
1 1 5
10 5
3 2 1
1 2 4
0 4 4
4 3 0
0 2 1
4 3 3
3 0 1
1 0 3
4 0 5
4 0 1
10 4
2 3 2
3 0 1
3 0 2
1 0 2
1 2 3
3 2 0
2 2 1
0 1 0
3 1 1
2 1 2
10 5
0 0 0
1 2 1
0 2 2
2 1 0
2 0 1
1 1 2
0 2 0
2 0 2
1 0 0
2 0 0
10 7
1 1 0
2 0 1
0 1 1
0 2 1
0 0 0
0 0 2
2 1 2
1 0 1
2 0 0
1 2 1
10 3
1 1 2
2 3 1
1 2 0
0 2 3
1 3 2
0 1 2
2 3 0
0 3 3
3 0 1
1 2 2
10 7
5 4 1
1 3 3
0 4 3
5 4 5
1 0 4
1 4 2
4 5 3
4 4 5
5 3 5
4 3 3
10 3
3 4 0
0 1 1
0 2 5
3 4 3
5 3 5
2 2 5
0 4 2
5 0 3
3 5 5
1 5 5
10 3
3 0 0
3 1 0
2 0 3
3 3 0
3 0 1
0 1 3
1 1 3
0 1 1
3 3 3
2 3 2
10 8
3 4 2
5 2 2
1 1 5
4 4 5
1 4 0
1 1 4
1 0 4
3 0 0
0 3 4
4 1 3
10 2
5 0 1
5 1 3
4 5 3
4 3 1
3 2 3
0 5 2
4 5 5
5 4 4
1 5 0
2 1 0
10 6
2 0 2
1 0 2
1 2 3
1 3 1
2 3 0
1 2 2
2 1 2
0 3 1
1 0 0
2 2 1
10 4
0 1 2
1 0 1
2 1 0
1 2 1
0 0 2
2 0 0
1 2 0
0 0 0
0 2 1
1 1 2
10 6
0 1 2
3 1 2
1 1 0
1 3 3
2 3 0
1 2 0
2 1 3
3 0 3
0 1 3
2 2 0
10 2
1 4 3
3 1 2
2 3 2
2 2 3
3 1 4
3 1 3
0 3 1
4 1 5
0 2 4
4 5 4
10 3
4 3 4
0 4 3
0 4 5
0 1 1
5 0 2
2 1 0
0 0 5
5 0 1
5 0 5
5 3 5
10 8
2 1 0
0 2 0
2 0 1
1 2 0
1 1 0
0 2 2
1 1 1
1 2 2
0 0 1
0 1 1
10 6
2 1 0
1 3 5
2 5 4
5 3 1
2 1 1
4 1 5
3 2 3
0 1 4
3 5 5
2 3 2
10 4
1 0 3
2 1 0
0 0 2
0 0 1
0 2 0
3 0 1
0 1 1
1 2 1
1 0 2
0 0 0
10 7
1 2 4
1 0 2
3 1 3
4 1 2
4 1 3
0 3 4
2 1 4
2 1 3
3 1 1
4 2 2
10 4
0 1 2
1 0 0
1 0 1
2 2 2
2 1 2
1 2 1
2 2 0
0 0 2
0 1 1
2 0 2
10 6
0 2 0
2 1 1
2 0 2
1 0 0
2 2 0
2 2 1
1 0 1
0 1 2
1 2 0
2 1 0
10 7
0 4 2
4 4 2
2 3 4
3 2 3
0 2 0
4 3 1
1 3 0
1 1 4
3 0 1
3 2 2
10 8
2 0 0
1 2 1
2 2 1
0 2 2
0 1 2
0 1 0
1 1 0
2 2 0
2 2 2
1 0 1
10 9
1 0 0
2 2 1
1 1 2
2 2 0
2 2 2
0 0 2
0 1 2
1 0 1
2 0 0
0 2 0
10 5
1 3 3
5 4 1
5 4 0
4 0 2
1 2 3
2 5 4
4 1 0
1 5 1
2 2 1
3 2 3
10 7
3 0 3
4 1 0
4 4 1
3 3 2
2 1 4
4 3 3
0 1 1
4 3 0
4 0 0
2 0 0
10 9
3 0 2
2 5 3
4 3 5
0 2 3
5 5 2
5 5 4
4 1 1
2 2 1
1 3 5
4 0 1
10 8
1 2 2
2 1 2
0 0 0
0 1 0
0 1 1
2 2 0
1 0 0
1 2 0
0 0 2
1 1 2
10 6
2 2 2
1 2 2
3 1 1
3 3 0
3 0 3
2 1 1
0 1 2
3 0 0
1 1 1
1 1 2
10 3
2 0 2
0 2 2
2 2 2
1 0 1
0 0 0
0 2 0
1 2 0
0 1 1
1 2 2
0 2 1
10 7
1 0 3
2 0 3
2 2 0
3 2 0
1 3 1
1 1 0
0 0 1
1 0 1
0 3 0
1 2 0
10 6
2 2 0
1 1 2
3 2 2
2 1 2
1 1 1
2 0 2
0 0 1
0 3 0
1 0 1
1 3 2
10 6
1 1 2
0 0 1
1 2 2
2 2 2
0 1 0
0 2 0
2 1 0
2 2 0
0 0 0
2 1 2
10 8
4 4 3
0 4 4
2 4 0
1 1 2
2 3 2
2 4 1
4 3 3
2 2 3
3 3 4
3 1 0
10 5
3 4 2
5 3 2
1 0 4
5 3 5
4 5 1
5 2 0
2 4 5
0 3 0
1 2 3
3 3 1
10 5
0 3 2
3 1 3
0 2 1
3 3 0
2 0 2
3 3 3
2 2 1
2 2 3
2 3 3
3 2 1
10 5
2 1 2
2 0 3
3 0 1
0 3 0
0 3 4
0 1 0
3 4 3
4 0 4
1 2 0
3 3 1
10 2
0 2 1
3 2 3
2 2 1
2 1 3
0 0 1
1 1 0
0 2 0
3 1 2
1 0 0
3 0 1
10 9
2 2 0
0 1 1
2 2 3
0 1 0
0 3 1
0 2 0
2 0 1
0 3 3
3 1 2
0 0 2
10 2
1 0 0
0 0 1
1 1 2
2 0 1
1 0 2
1 2 0
0 1 1
1 0 1
2 0 2
0 0 2
10 8
2 1 3
4 2 4
1 4 3
1 2 4
2 0 3
0 2 2
1 0 1
4 1 0
0 4 1
1 2 1
10 2
2 2 1
1 1 0
1 0 2
1 2 1
2 2 0
0 0 2
0 1 2
0 2 2
0 1 0
1 1 2
10 4
3 1 3
5 0 0
4 2 3
1 0 2
5 3 1
4 1 2
5 2 4
2 4 0
4 0 3
4 4 4
10 3
1 5 5
0 2 2
5 5 5
5 2 4
1 4 4
5 3 3
3 2 0
2 2 3
5 0 0
3 0 0
10 6
1 2 0
1 1 0
0 0 0
0 0 2
0 2 2
0 2 0
1 2 2
1 0 2
2 2 1
1 2 1
10 2
4 3 2
2 4 2
1 2 4
0 2 0
1 0 3
3 3 3
0 1 4
1 4 0
1 3 2
3 1 4
10 7
2 4 3
1 0 3
4 4 4
1 3 4
1 0 2
2 1 3
2 2 1
1 2 4
2 4 1
0 3 1
10 8
2 1 2
0 0 2
1 2 0
2 1 0
0 0 1
0 1 2
2 2 2
1 1 2
2 1 1
0 1 1
10 7
0 5 4
3 0 3
0 0 5
4 4 5
1 4 2
0 5 3
4 5 5
2 4 3
0 4 0
3 2 1
10 6
4 4 0
1 4 3
3 1 1
4 0 1
2 1 2
3 4 2
3 1 4
3 0 3
4 4 1
3 0 4
10 6
2 2 1
1 2 1
0 2 1
1 0 0
2 0 1
0 2 0
1 1 2
1 2 2
2 0 0
1 2 0
10 9
0 2 0
0 3 2
1 1 1
2 0 1
1 2 2
3 0 2
0 3 1
1 2 0
1 3 0
3 0 1
10 7
2 0 0
0 0 4
3 4 0
4 0 1
1 3 1
0 0 0
2 2 1
3 4 1
4 1 4
0 3 0
10 4
1 4 2
0 2 1
0 0 1
3 1 4
4 2 4
4 2 1
2 4 2
4 0 3
2 0 3
2 2 3
10 7
4 3 2
2 3 5
0 4 5
0 2 4
5 0 5
4 5 3
4 1 5
4 4 5
5 1 4
1 0 2
10 5
0 0 2
1 1 0
2 2 2
0 2 1
0 2 2
2 0 1
0 1 1
1 2 1
1 0 1
1 1 1
10 3
4 4 4
5 4 2
2 0 5
5 1 2
5 5 1
5 0 2
0 4 1
5 2 1
5 1 4
1 0 0
10 7
1 2 3
0 1 3
0 1 1
1 0 1
2 2 1
3 1 2
0 3 1
2 0 1
2 1 0
1 2 2
10 8
2 2 2
2 1 4
2 4 0
2 1 3
1 0 4
4 3 0
3 0 2
1 4 0
4 3 1
1 3 0
10 9
2 0 0
1 0 0
1 0 2
1 1 0
0 1 0
0 0 1
0 0 0
0 2 0
2 0 2
2 0 1
10 6
1 2 4
2 2 1
0 2 3
2 4 1
0 3 4
2 3 2
1 3 3
4 0 2
3 1 1
2 3 4
10 5
1 0 3
1 0 0
1 0 1
1 3 0
0 1 1
2 2 1
0 3 3
3 1 3
3 3 1
3 3 2
10 5
1 3 0
2 2 1
1 3 3
3 3 3
0 0 1
3 0 1
1 2 1
0 1 1
3 1 1
3 1 2
10 9
1 0 0
0 1 3
2 3 0
1 1 2
3 3 0
1 1 0
3 3 3
1 0 3
0 2 0
0 3 2
10 7
2 1 0
1 1 2
2 1 1
1 2 0
0 2 2
0 1 2
1 0 0
0 1 0
2 2 1
1 2 2
10 2
0 1 3
3 2 4
1 5 0
0 0 1
0 1 5
2 5 3
3 0 1
2 3 0
0 0 0
4 0 5
10 2
0 0 3
1 1 2
2 2 0
0 2 3
2 3 2
2 1 2
3 0 0
0 2 0
1 3 3
1 1 3
10 6
2 0 2
0 0 0
2 2 1
0 0 1
2 1 2
1 1 0
1 2 0
1 0 2
0 2 0
2 0 1
10 5
1 1 0
2 2 3
1 3 1
0 1 2
2 1 2
0 3 3
0 1 0
2 3 3
1 2 2
3 3 1
10 5
3 0 5
0 4 5
0 2 1
0 0 2
2 4 2
2 2 4
2 0 3
2 0 0
2 2 0
2 5 0
10 3
3 1 2
3 2 1
4 4 1
4 4 2
0 0 0
4 4 4
1 0 2
3 4 2
0 2 0
4 3 0
10 4
1 2 0
1 1 2
2 2 0
0 2 1
1 2 2
1 1 0
2 1 0
2 0 2
0 1 2
2 1 1
10 8
3 4 5
1 5 0
2 0 1
3 5 4
2 1 1
2 3 2
1 1 1
2 2 3
3 0 2
0 4 0
10 7
1 1 5
1 2 5
3 3 5
0 2 0
5 3 1
3 0 2
5 2 0
1 4 1
1 0 4
2 0 5
10 5
1 1 3
4 5 3
1 5 4
2 1 3
4 1 5
4 4 3
2 0 3
3 3 0
3 0 2
0 0 2
10 4
0 4 5
3 1 3
4 4 3
4 3 4
5 3 4
0 2 4
4 4 0
3 5 1
5 3 5
2 0 1
10 4
0 1 3
2 1 3
3 1 2
0 0 0
1 0 1
1 3 2
0 3 2
3 0 2
2 3 2
1 3 1
10 3
0 0 3
1 1 0
3 1 3
0 0 2
1 0 0
3 0 3
3 3 0
3 0 0
1 1 3
1 2 3
10 3
2 0 2
0 2 0
2 1 1
1 0 0
0 0 2
0 2 1
0 1 0
1 0 2
2 0 0
2 2 1
10 6
1 2 0
1 0 0
1 2 1
2 1 1
3 3 0
0 0 1
1 3 2
0 0 0
3 0 0
0 0 3
10 9
3 5 0
3 3 4
4 0 1
5 1 2
0 3 3
0 0 1
2 2 1
4 2 4
4 0 3
0 1 4
10 7
1 2 2
2 2 0
1 1 0
1 0 1
0 2 0
2 2 1
1 0 2
0 0 2
0 2 2
2 0 0
10 5
4 2 2
1 2 3
3 4 3
3 0 2
1 0 4
2 2 2
3 4 2
0 3 0
1 4 0
2 2 1
10 7
2 0 0
1 3 2
2 1 3
3 1 1
0 2 0
2 2 2
1 3 1
3 2 2
2 0 2
0 1 0
10 9
1 1 0
4 3 2
1 0 4
4 4 0
0 1 0
1 2 0
3 3 0
1 2 3
1 0 2
4 0 4
10 6
1 1 2
0 1 0
2 0 2
1 0 1
2 2 1
1 0 2
1 0 0
0 0 1
2 0 0
2 2 0
10 2
0 0 1
1 2 1
1 0 2
1 1 2
2 0 2
2 1 1
2 0 1
1 2 0
0 1 1
2 0 0
10 3
4 0 5
2 1 1
5 4 0
1 4 0
5 2 0
2 0 4
0 5 5
0 3 3
0 5 0
5 1 0
10 2
3 1 2
0 3 2
1 0 0
2 0 1
1 1 1
0 3 3
0 2 1
2 0 3
2 2 0
0 3 1
10 2
0 1 0
1 0 1
2 0 2
0 1 1
2 1 0
1 0 0
2 0 1
2 2 0
2 2 2
1 0 2
10 3
2 1 2
1 0 0
0 1 1
1 0 1
2 1 0
2 0 2
0 0 1
1 0 2
0 0 2
0 2 0
10 5
4 4 0
3 1 4
3 0 0
1 1 0
1 3 3
2 4 2
1 1 4
4 3 3
1 3 2
1 2 2
10 6
2 3 0
3 3 3
2 3 2
3 0 3
2 0 3
0 3 1
3 1 1
0 0 1
0 0 3
0 0 0
10 6
3 0 0
0 0 2
3 3 3
1 3 0
3 1 1
1 0 2
0 3 1
3 2 1
0 1 2
2 2 3
10 7
2 1 1
2 2 0
1 0 1
1 0 2
0 0 2
0 1 2
2 0 0
1 0 0
1 2 2
0 1 0
10 9
3 0 1
0 2 1
1 2 0
0 3 2
1 0 2
1 3 3
0 3 1
1 2 2
1 2 1
2 1 2
10 7
5 0 4
2 3 3
1 2 1
3 0 3
1 4 2
3 2 2
2 0 1
1 3 0
2 2 4
3 3 2
10 2
3 5 2
1 1 5
3 3 1
2 5 5
1 5 2
1 3 1
4 4 2
1 2 4
1 5 3
1 1 0
10 6
3 2 1
3 1 1
3 4 1
3 3 2
3 3 1
3 4 0
0 4 3
0 0 4
4 2 4
2 3 3
10 9
0 0 0
0 0 2
2 2 2
1 1 0
1 0 2
1 0 0
0 1 2
0 1 0
0 1 1
2 1 2
10 2
2 0 0
1 2 0
2 2 0
0 0 1
0 2 1
2 1 0
1 0 0
0 1 2
1 2 1
0 0 0
10 9
1 0 2
2 1 2
0 1 2
0 1 0
1 1 0
2 0 2
2 2 2
1 2 0
0 0 0
2 0 0
10 6
4 2 3
0 2 4
4 0 3
0 4 1
1 0 3
2 1 2
1 2 5
1 3 4
1 5 4
0 1 3
10 5
1 1 3
0 0 1
0 3 3
2 2 0
0 0 3
0 3 1
0 0 0
3 1 2
3 2 3
2 0 3
10 8
0 0 3
4 1 3
1 0 4
1 2 1
3 2 3
0 4 2
3 0 3
4 0 1
2 4 1
2 0 0
10 2
5 1 5
2 3 5
5 1 4
1 4 2
1 3 5
3 5 3
4 3 0
4 4 1
3 0 3
5 4 2
10 8
0 2 2
1 3 3
1 2 1
1 1 3
1 3 1
3 1 1
0 3 1
1 1 0
1 0 2
2 0 0
10 5
0 3 3
1 2 3
2 1 4
1 1 1
2 4 4
1 4 2
4 2 2
3 2 4
0 4 2
4 1 0
10 6
0 0 4
3 1 3
3 0 2
0 3 3
0 3 1
3 2 0
4 1 0
3 4 4
0 1 3
0 4 0
10 5
1 0 0
0 1 0
1 2 2
1 0 1
2 0 0
0 2 1
0 0 2
0 0 0
2 1 1
0 2 0
10 3
2 2 2
1 2 1
0 1 2
0 1 0
2 0 0
0 1 1
1 1 1
0 2 0
2 1 0
2 2 1
10 6
2 1 1
1 0 2
2 0 0
0 1 1
0 2 2
0 2 0
2 0 2
1 2 0
2 1 2
0 0 1
10 4
2 1 0
1 1 1
1 2 0
1 1 0
1 0 1
2 1 2
1 0 2
0 0 2
1 0 0
1 2 2
10 5
2 0 2
1 4 1
4 0 3
2 1 2
0 4 3
4 0 2
2 0 4
3 1 2
2 0 3
2 0 0
10 3
3 4 0
2 2 0
4 2 4
2 0 4
4 2 2
1 3 3
2 0 1
2 4 2
1 2 2
0 0 2
10 7
0 2 1
0 0 0
1 2 1
2 0 1
2 1 2
1 0 0
2 0 2
2 2 1
1 0 2
0 0 1
10 6
0 1 2
0 2 1
2 0 2
2 1 1
1 0 1
1 2 0
2 0 1
1 0 2
1 1 2
2 2 1
10 3
0 0 1
1 0 2
0 1 0
2 2 1
1 0 1
0 0 0
0 0 2
1 0 0
2 0 1
1 2 2
10 3
1 1 1
0 1 2
2 0 1
1 1 0
0 2 0
1 0 2
1 0 0
1 0 1
1 2 1
1 2 2
10 2
5 1 4
3 0 0
5 3 5
3 3 1
4 5 4
4 3 5
4 4 1
2 0 3
3 1 4
1 0 2
10 5
3 2 1
3 3 1
1 1 0
0 0 2
1 0 2
0 2 0
3 2 2
1 0 3
0 3 3
1 2 1
10 3
1 0 0
2 0 1
2 0 0
3 0 1
3 1 2
1 3 2
0 1 1
0 3 3
0 3 1
3 0 2
10 9
1 0 2
3 1 1
2 3 3
1 1 0
1 3 2
0 1 1
2 2 2
3 1 2
2 1 1
0 3 2
10 6
3 1 0
3 0 0
3 3 1
1 2 2
4 2 1
4 0 4
0 2 1
3 2 3
2 0 1
0 0 3
10 5
3 4 0
3 2 5
4 1 0
4 2 3
4 4 2
1 1 0
4 3 1
4 4 5
2 3 1
3 0 2
10 5
1 1 0
1 0 0
0 1 0
1 2 1
3 1 0
2 3 1
3 2 0
0 0 1
0 2 3
2 0 2
10 8
1 2 2
2 1 2
1 0 1
2 2 1
2 1 1
2 1 0
2 0 0
0 1 1
0 0 0
0 2 0
10 4
1 4 2
0 2 3
5 3 4
1 5 1
5 3 5
0 0 3
0 2 4
2 2 0
2 3 4
5 2 0
10 6
3 0 0
2 3 2
1 4 5
0 1 0
3 1 3
2 2 5
0 4 1
5 4 4
5 0 0
5 2 2
10 4
2 0 0
2 0 1
1 0 1
1 1 1
2 2 2
1 2 0
1 1 0
2 2 1
2 2 0
2 1 0
10 7
1 1 2
0 3 1
1 2 0
3 0 2
3 3 2
0 0 3
2 1 0
0 1 3
2 2 0
3 1 3
10 9
2 1 2
2 1 0
2 2 0
0 0 2
2 2 1
1 2 0
0 0 0
2 0 0
0 2 2
1 1 2
10 2
0 2 3
0 5 3
3 2 1
0 5 0
4 2 1
4 3 0
4 2 0
5 2 0
0 2 4
4 2 4
10 5
0 1 1
2 4 2
4 3 1
2 2 3
4 4 0
0 2 2
1 1 2
1 2 2
1 3 1
3 3 4
10 2
3 3 0
1 0 0
2 3 4
2 3 2
2 1 3
3 2 4
4 0 3
2 4 1
4 1 3
1 4 2
10 8
0 3 1
0 2 0
3 0 3
3 1 1
2 3 3
1 2 3
2 0 1
1 1 2
0 3 2
2 3 1
10 8
3 4 4
1 5 5
5 3 3
3 5 4
4 0 3
0 4 5
1 2 1
3 5 3
1 0 5
2 4 5
10 4
2 1 3
0 2 0
1 3 4
3 0 3
5 2 4
1 2 3
1 3 2
1 5 0
1 4 5
1 4 1
10 4
1 0 2
2 1 0
3 2 1
1 0 0
0 0 0
0 3 3
2 2 3
2 1 2
1 3 3
3 2 2
10 6
0 2 3
4 1 2
1 5 0
1 0 1
1 0 5
1 0 4
5 4 3
0 5 0
4 1 4
0 3 0
10 9
2 0 1
1 1 0
0 2 0
0 1 0
0 0 2
0 0 0
1 0 1
1 2 0
1 2 1
2 0 2
10 5
1 5 1
0 0 2
0 1 1
0 2 1
1 0 1
2 3 1
2 2 1
4 5 0
3 5 4
5 1 4
10 6
0 0 2
1 2 1
1 0 1
0 1 0
1 2 0
2 1 0
2 1 2
2 0 0
0 0 0
2 2 2
10 4
0 1 1
0 2 2
1 1 0
2 2 2
2 1 0
1 2 0
0 2 0
1 0 0
1 0 2
2 0 0
10 9
3 1 2
2 1 1
3 1 4
2 2 2
3 2 2
4 1 0
1 1 3
3 4 1
1 2 2
2 2 4
10 9
3 4 3
4 1 3
2 0 0
3 0 3
1 1 0
0 2 4
2 2 4
0 0 0
1 3 4
3 3 0
10 4
1 4 4
2 3 2
2 2 1
4 1 4
4 3 3
1 1 4
1 0 3
0 4 2
0 2 3
3 3 1
10 9
4 5 4
2 2 5
3 5 3
4 1 1
5 3 4
3 3 4
1 4 3
0 5 2
4 0 5
3 4 1
10 4
2 2 4
4 4 1
2 0 3
0 0 0
0 2 0
1 0 4
2 1 4
1 4 3
4 2 3
2 0 0
10 8
0 0 4
2 3 4
4 0 3
1 5 3
3 1 1
4 1 1
4 3 1
2 2 0
5 4 3
0 4 4
10 6
1 2 0
0 0 3
1 3 4
5 4 2
5 4 4
5 3 2
4 2 3
4 5 3
0 1 2
1 3 0
10 9
3 0 5
2 3 1
4 2 1
0 4 1
5 5 3
0 5 1
1 2 1
5 3 4
0 5 2
0 0 3
10 2
0 3 3
5 3 4
4 2 2
5 0 4
5 2 1
3 5 1
4 3 3
4 0 5
2 2 2
0 0 5
10 3
3 2 3
0 3 0
1 2 3
1 2 0
0 4 3
1 0 4
3 1 0
0 4 0
4 3 1
2 4 3
10 6
1 0 1
2 1 1
2 4 2
1 0 0
3 0 4
0 0 5
4 3 0
1 1 3
1 0 3
2 4 5
10 6
1 3 1
0 0 3
2 3 0
3 3 1
2 1 2
3 3 0
3 0 3
1 2 2
2 0 2
0 0 1
10 8
0 1 0
1 0 0
0 2 1
1 0 4
1 1 0
0 2 2
1 3 4
4 3 1
3 4 0
3 1 2
10 7
3 0 2
3 3 2
3 0 3
0 0 2
1 0 2
1 3 1
1 3 0
1 0 1
0 2 2
0 3 2
10 4
5 4 5
0 3 1
2 1 3
2 5 1
2 3 4
2 2 0
0 1 2
3 1 5
2 2 3
5 4 4
10 4
0 2 2
1 2 0
0 0 2
2 1 0
2 0 0
2 1 1
2 0 1
1 0 1
1 0 0
2 2 1
10 4
3 0 5
5 0 0
3 2 3
1 4 3
3 3 0
5 3 3
0 5 4
5 3 5
5 2 2
3 0 4
10 8
2 4 2
2 1 2
4 2 1
4 0 3
3 4 3
1 0 2
1 4 3
1 1 3
2 3 0
1 3 3
10 8
0 3 3
1 1 0
2 2 3
2 1 2
1 0 0
2 1 3
0 2 3
1 0 1
2 0 1
3 1 2
10 9
1 0 0
0 1 2
2 1 2
2 0 2
0 1 0
0 1 1
0 0 2
2 0 0
2 1 1
2 2 1
10 7
0 1 2
2 2 2
1 2 0
0 0 0
0 2 1
2 0 0
1 2 1
0 2 2
0 0 2
2 1 0
10 5
5 5 1
3 1 4
1 5 3
5 5 0
2 5 2
3 5 3
1 2 5
3 1 3
5 4 4
1 3 3
10 2
4 2 0
2 4 0
3 1 2
4 1 4
0 2 2
4 3 2
3 2 2
3 3 4
4 3 1
4 1 1
10 8
3 1 2
1 3 1
1 0 0
3 1 1
0 1 1
1 0 2
2 1 0
2 3 3
3 0 3
1 0 1
10 2
1 0 2
3 0 3
3 2 1
0 2 2
1 2 1
0 3 3
1 1 3
2 2 1
0 3 2
2 0 2
10 5
2 2 3
1 3 3
3 4 4
1 4 4
2 2 2
3 1 4
4 2 2
2 4 1
3 2 4
0 0 1
10 7
2 2 1
1 2 1
2 1 1
2 0 1
1 0 2
0 0 1
1 2 2
0 1 2
1 1 2
0 2 2
10 5
1 1 0
1 4 3
4 0 0
3 0 2
3 4 4
4 4 1
2 4 4
2 3 2
0 3 0
4 3 4
10 4
3 0 3
1 1 2
2 3 0
3 1 2
1 3 0
2 2 2
0 3 1
2 1 2
3 0 2
3 1 0
10 9
2 0 1
2 2 2
1 1 0
2 2 0
0 1 0
0 1 2
0 1 1
1 1 1
0 0 0
1 2 1
10 9
0 3 0
0 3 2
3 2 3
1 3 0
2 0 2
3 1 3
0 1 2
2 1 2
0 1 0
2 3 2
10 4
0 1 0
1 0 2
1 0 0
0 2 2
1 1 0
1 2 2
0 2 1
2 1 1
1 1 2
0 1 1
10 4
4 3 2
3 2 4
4 2 3
2 1 3
3 4 0
3 2 0
4 1 1
1 2 0
2 1 4
3 4 4
10 7
1 0 2
2 0 0
0 0 1
1 0 1
1 1 1
0 1 0
1 2 0
0 0 2
0 2 1
0 2 2
10 8
0 2 0
1 1 0
2 0 1
1 2 3
0 0 1
2 2 3
3 0 2
2 1 3
0 0 0
0 3 3
10 5
0 2 4
4 5 3
1 0 3
0 5 1
2 4 5
5 1 1
2 0 2
5 0 5
2 3 5
3 4 5
10 4
0 1 0
0 1 2
2 2 0
0 0 1
1 0 0
0 2 2
1 1 1
0 0 2
0 1 1
1 0 1
10 2
1 0 1
2 1 2
0 1 1
1 1 0
2 0 1
0 0 0
2 0 2
1 2 0
1 0 2
1 0 0
10 4
0 0 4
1 3 0
0 4 4
0 2 4
2 0 4
1 3 2
2 2 4
2 4 1
2 0 3
4 4 0
10 4
1 2 4
3 4 2
3 1 3
0 1 3
3 2 0
3 3 0
1 2 2
2 5 3
5 5 3
5 3 2
10 2
3 1 3
4 0 2
3 3 1
1 1 4
2 2 0
0 1 2
4 4 2
2 4 4
3 0 4
0 2 1
10 9
2 3 3
0 1 3
1 2 2
1 2 0
2 3 2
3 3 2
2 3 0
1 1 1
1 2 1
3 2 1
10 8
2 0 1
2 2 1
1 1 1
0 0 1
0 0 2
1 2 0
2 1 1
0 2 1
1 1 0
0 2 0
10 4
2 2 2
0 1 1
1 1 1
0 2 1
2 2 1
2 1 0
0 0 1
1 0 0
2 0 1
0 0 2
10 8
0 0 2
4 2 4
4 2 3
2 0 4
3 4 0
2 1 2
0 2 0
2 2 2
3 1 3
0 4 4
10 7
3 3 1
3 1 1
0 1 3
2 2 1
0 1 2
1 0 0
3 0 2
2 0 3
2 3 3
2 1 0
10 5
0 1 3
0 2 1
5 4 5
4 3 2
4 5 1
4 5 3
5 5 5
5 0 3
4 2 5
1 4 5
10 7
2 3 0
2 2 1
0 0 2
3 2 2
1 3 2
0 2 3
0 1 3
0 3 0
0 1 0
1 1 1
10 7
1 3 2
0 2 0
3 1 2
3 3 1
0 2 3
0 0 2
3 0 1
1 0 1
1 2 0
1 3 3
10 7
4 2 3
3 2 1
5 5 4
1 5 1
5 2 4
5 2 2
4 1 4
3 5 3
4 0 5
5 3 0
10 2
3 0 4
4 3 0
2 0 0
4 1 3
0 2 1
5 4 0
1 1 3
4 0 2
0 0 1
5 2 2
10 5
1 2 5
1 1 1
0 2 2
4 4 2
5 5 3
2 0 4
3 2 0
2 5 2
5 0 3
2 1 4
10 5
3 4 0
1 2 3
4 1 1
1 2 4
3 2 0
0 4 2
3 1 2
1 1 2
2 4 4
4 0 2
10 9
0 2 2
2 0 0
1 1 2
1 2 1
2 1 2
1 0 0
0 1 2
0 1 1
0 0 2
0 1 0
10 8
3 3 0
5 0 2
0 2 0
0 3 3
1 1 1
2 1 1
0 0 1
5 2 1
2 0 1
2 1 3
10 5
3 0 3
2 1 3
0 2 3
2 2 0
0 0 1
3 2 0
1 1 0
1 0 1
2 0 1
0 2 2
10 8
1 0 1
2 0 2
2 2 2
1 1 2
2 2 0
0 2 1
0 1 0
2 0 1
0 1 2
1 2 2
10 5
0 3 3
2 3 3
2 1 3
0 0 0
3 0 2
2 0 2
2 3 0
0 0 1
3 1 3
3 0 3
10 7
1 1 1
3 0 3
3 3 1
1 0 3
2 2 1
0 1 2
1 3 2
3 2 3
0 0 2
2 3 3
10 5
1 1 0
2 1 1
2 3 0
0 0 3
2 0 3
1 2 0
2 2 2
1 2 3
0 1 2
0 3 2
10 3
2 1 1
2 4 0
3 2 3
1 1 0
1 4 4
3 4 4
4 0 1
4 4 4
2 0 1
2 3 1
10 4
4 1 2
1 0 1
3 1 3
2 1 2
3 3 4
2 0 2
3 4 1
4 1 1
4 1 3
0 1 1
10 4
2 1 1
0 1 2
0 0 2
0 1 0
1 0 1
2 2 2
2 0 0
2 0 2
0 0 1
0 0 0
10 4
4 0 4
1 4 0
3 4 1
3 4 2
2 3 0
2 1 2
1 0 0
2 4 0
1 0 1
4 2 2
10 9
1 0 1
2 0 2
1 1 1
0 0 0
0 0 1
1 2 1
1 0 0
1 1 0
1 2 2
0 1 0
10 2
4 4 0
3 4 0
1 0 0
4 3 3
3 1 3
4 2 3
3 3 3
0 1 0
3 4 1
2 0 4
10 6
2 1 2
1 2 1
0 1 2
2 0 2
2 1 1
1 0 0
0 1 1
2 0 0
2 2 0
0 0 0
10 3
0 2 1
2 3 2
1 1 2
3 0 4
4 1 2
0 3 0
0 4 2
3 0 1
4 3 0
2 4 0
10 5
1 0 0
1 2 1
0 0 0
2 2 1
1 0 2
0 1 1
1 2 0
0 2 2
2 1 2
2 2 0
10 8
3 2 0
2 4 3
2 1 4
1 0 1
4 4 2
2 2 0
4 2 4
4 4 3
3 4 1
0 2 1
10 9
1 0 0
2 1 0
2 2 2
0 1 1
1 0 1
2 0 0
1 1 2
1 2 0
2 0 2
2 1 2
10 8
2 0 0
2 2 3
0 1 3
2 3 3
0 1 2
0 3 3
3 1 3
1 3 0
1 0 1
1 3 2
10 4
3 1 3
4 0 3
5 5 5
2 4 3
0 0 0
3 2 3
4 2 5
4 1 0
4 4 4
4 3 2
10 6
2 0 1
2 1 1
1 2 1
0 2 1
0 2 0
0 1 1
1 2 2
0 0 0
2 1 0
0 1 2
10 2
0 3 3
3 0 0
0 1 2
1 3 1
0 0 3
3 3 0
1 0 3
0 2 2
1 1 0
1 1 3
10 5
2 0 4
3 3 0
1 0 2
3 3 4
1 1 3
4 1 4
3 2 0
4 2 3
1 0 0
1 3 3
10 7
4 2 0
3 0 2
4 1 2
1 1 4
1 0 4
2 1 2
2 4 3
3 1 3
2 1 3
0 2 2
10 9
2 2 0
2 3 5
2 2 2
4 0 1
1 3 0
1 3 3
0 3 1
3 3 1
2 4 4
3 5 4
10 8
0 0 0
2 1 0
2 0 0
0 0 1
2 2 2
1 1 0
1 2 0
1 0 0
0 1 2
0 1 0
10 8
0 4 0
4 1 0
2 2 2
0 0 1
1 1 2
1 2 3
1 4 0
3 0 1
2 1 0
2 4 2
10 4
3 4 0
3 4 3
0 2 3
1 3 3
0 0 1
4 3 1
1 2 2
4 2 4
4 0 3
4 1 2
10 4
1 3 1
0 5 0
2 5 0
5 2 2
5 4 2
0 2 3
3 2 1
5 4 4
4 0 3
5 0 2
10 6
1 0 2
0 0 0
1 1 0
0 3 3
1 3 1
3 2 0
0 0 3
1 2 3
3 2 2
3 1 1
10 6
2 2 2
1 1 0
2 1 0
2 0 0
0 2 0
1 2 0
1 2 1
2 1 2
2 1 1
0 1 0
10 8
2 2 2
0 0 4
3 4 1
1 3 4
0 4 0
3 1 3
2 4 0
3 0 4
2 1 4
2 3 1
10 9
1 4 1
0 0 2
2 3 2
3 4 3
4 1 3
2 1 3
1 2 4
1 2 3
3 0 0
0 0 0
10 6
3 2 3
2 2 3
3 3 1
1 3 0
3 0 2
0 3 2
3 2 2
4 0 2
2 3 1
4 4 1
10 3
1 1 2
2 2 1
3 2 1
2 1 1
3 3 2
0 1 1
1 0 0
0 0 2
0 0 1
0 2 2
10 6
1 3 1
2 2 2
5 3 4
0 3 2
5 1 0
3 0 3
3 4 1
3 0 2
0 1 2
2 2 0
10 4
0 0 1
1 1 1
2 1 2
1 0 0
2 0 1
0 0 2
2 0 0
1 1 0
0 2 1
1 1 2
10 2
2 2 3
3 1 2
2 2 2
0 3 0
1 2 3
0 0 3
1 2 1
2 1 0
0 1 3
3 2 3
10 4
0 2 0
1 1 3
3 2 2
0 0 0
1 1 2
2 3 1
3 3 1
0 1 3
1 3 0
3 0 3
10 9
3 1 2
3 3 3
0 3 0
3 2 1
3 0 2
0 0 0
0 0 1
3 1 3
0 1 0
0 0 2
10 8
0 1 1
2 0 0
0 0 1
2 2 2
1 2 2
1 2 0
0 0 0
2 1 0
2 1 2
1 1 0
10 5
2 0 0
0 1 2
0 3 1
3 3 0
0 1 1
1 2 3
0 2 2
3 3 3
2 1 0
3 0 3
10 9
2 3 4
1 0 0
4 2 4
1 1 1
1 4 0
4 0 0
3 3 2
0 3 3
2 3 2
1 0 4
10 2
1 2 0
2 1 0
0 1 0
0 1 2
0 0 0
1 0 0
0 2 1
2 0 0
1 1 2
1 2 2
10 3
1 4 1
1 0 2
4 3 0
3 2 2
2 0 0
1 1 4
1 1 3
1 0 1
2 3 0
4 4 2
10 2
2 0 0
2 1 1
2 1 0
0 0 2
1 1 0
2 2 2
1 1 2
0 1 2
1 2 0
0 2 0
10 3
3 1 3
2 2 1
0 2 2
0 1 0
3 2 3
0 3 1
0 2 3
2 1 1
3 1 1
1 3 1
10 7
2 5 4
1 5 4
3 3 0
0 4 5
4 4 3
5 0 0
5 2 1
1 4 4
4 2 4
0 1 4
10 5
2 1 0
0 2 0
1 2 0
2 1 1
1 0 0
1 1 2
2 2 0
0 1 0
1 1 0
2 2 1
10 4
4 4 0
2 4 0
2 3 3
4 3 5
3 5 5
3 5 4
1 4 1
0 0 1
3 4 5
2 0 1
10 2
3 4 4
2 3 0
2 2 4
2 1 0
2 0 2
2 4 2
4 3 3
1 0 3
0 3 0
1 2 3
10 3
1 0 0
2 2 1
2 2 0
0 2 1
0 2 0
0 0 0
1 1 2
0 1 1
1 1 0
1 2 0
10 4
1 3 3
1 2 5
2 0 3
2 0 0
3 0 3
1 2 1
0 4 5
2 0 4
1 4 0
2 2 2
10 3
0 2 2
0 2 0
2 0 0
2 2 1
0 1 2
0 1 0
2 2 0
0 0 1
0 2 1
0 1 1
10 5
4 3 3
2 3 4
1 2 2
2 2 4
1 2 3
4 1 3
0 1 0
0 1 1
2 0 1
2 4 3
10 5
0 1 1
2 1 2
0 2 0
0 1 0
2 2 0
0 1 2
0 2 2
2 2 2
0 0 1
0 0 0
10 7
2 4 2
4 3 3
3 0 3
0 2 1
4 2 0
1 0 2
0 2 3
2 3 2
1 0 3
4 1 0
10 9
3 2 1
0 0 3
3 3 2
2 0 0
1 3 3
1 2 2
2 1 1
1 1 1
1 3 2
1 1 3
10 6
1 0 2
1 1 0
1 1 1
0 0 0
2 2 0
2 1 0
1 2 2
2 2 2
1 2 0
1 1 2
10 2
4 1 0
2 0 4
4 3 3
2 1 2
4 3 2
0 3 4
1 2 3
0 1 4
1 0 0
4 3 4
10 3
3 2 2
3 3 3
1 0 1
3 3 2
1 3 3
0 1 0
1 3 1
0 3 1
0 0 0
0 1 1
10 5
1 4 2
4 0 2
3 4 5
0 0 2
4 5 0
4 5 5
0 0 5
5 2 0
2 5 5
3 1 3
10 8
2 2 2
4 1 5
0 5 0
4 5 2
3 1 5
1 5 4
3 0 1
0 3 3
1 3 5
2 3 5
10 4
2 3 1
1 3 0
2 0 3
0 1 0
0 3 2
3 3 1
2 0 0
3 2 1
0 0 0
1 2 0
10 5
0 0 1
2 2 1
0 1 3
3 2 1
3 3 3
3 0 3
3 0 0
2 2 0
0 1 0
3 2 3
10 7
3 1 2
3 2 3
3 4 2
1 4 0
3 4 1
1 0 2
4 4 4
1 2 2
3 2 2
2 3 1
10 3
0 2 0
1 1 3
3 1 1
1 2 0
2 1 1
2 3 3
1 0 0
3 0 3
3 1 3
2 2 1
10 7
2 2 2
3 1 3
1 3 2
3 0 3
2 3 2
2 1 1
0 2 2
1 1 1
0 3 2
3 0 1
10 8
2 3 3
3 0 0
0 3 3
2 1 1
2 1 3
0 0 3
3 1 0
2 2 0
3 1 1
0 0 0
10 6
2 3 2
2 1 1
4 4 3
3 0 1
3 2 1
1 2 0
1 1 0
4 4 1
4 3 4
2 3 1
10 4
2 2 0
4 0 0
3 1 0
3 0 3
0 1 2
3 4 3
2 2 4
1 3 4
4 0 4
3 4 2
10 4
1 5 0
3 2 5
3 5 4
4 2 1
2 3 0
3 1 2
2 3 3
5 4 4
5 5 3
2 4 4
10 4
3 2 2
3 4 0
1 4 1
0 3 0
1 1 0
1 3 0
0 3 3
1 2 2
0 1 2
3 4 3
10 2
2 0 1
2 2 1
1 1 1
0 1 1
1 1 2
0 0 1
0 1 2
2 1 0
2 0 0
1 0 1
10 7
0 1 0
2 1 0
0 1 2
0 2 1
1 2 2
2 2 2
0 1 1
2 0 0
1 0 2
2 2 0
10 4
1 0 2
1 2 2
2 1 1
2 2 1
1 1 0
2 1 0
1 2 1
1 2 0
1 1 2
2 0 1
10 8
4 0 4
0 3 0
4 4 1
3 2 3
2 0 0
1 2 2
3 2 2
4 0 3
4 1 4
3 4 3
10 9
1 1 1
1 0 2
1 2 0
2 2 1
1 1 2
0 2 1
1 0 1
0 2 0
2 1 0
2 0 1
10 9
2 1 2
1 2 0
2 2 3
2 2 1
2 3 0
2 2 2
3 3 0
3 2 1
0 2 2
3 0 1
10 2
1 2 0
1 2 1
0 2 2
1 1 1
0 1 0
3 3 1
0 0 0
0 1 3
3 2 0
0 0 2
10 2
0 2 0
1 2 1
2 0 1
0 0 0
2 2 1
0 1 2
2 0 2
2 0 0
2 1 1
0 2 2
10 7
1 0 0
0 2 1
0 2 0
3 1 0
1 1 3
2 0 3
1 2 2
2 2 0
1 2 0
3 2 1
10 7
4 4 0
0 1 2
1 4 0
5 4 4
2 3 0
3 2 5
5 5 4
1 1 5
4 3 2
5 5 5
10 9
1 0 3
3 3 3
3 1 1
4 0 4
1 4 4
2 0 2
2 4 0
1 3 0
2 4 1
1 3 4
10 4
4 2 5
1 3 5
5 1 5
2 1 0
1 1 1
3 4 5
3 4 3
3 2 5
2 5 3
3 2 0
10 3
1 0 2
1 2 2
2 0 2
0 0 0
2 1 0
1 2 1
2 2 2
2 2 0
1 0 0
0 1 2
10 4
2 1 2
4 2 0
0 0 4
0 4 5
5 3 4
0 3 4
0 0 5
0 1 0
4 1 5
5 0 3
10 8
2 3 2
1 2 3
2 0 2
0 3 1
2 1 1
3 1 1
0 1 0
3 2 2
1 1 3
3 0 0
10 4
3 4 1
3 2 1
0 2 1
4 1 0
2 4 2
3 1 3
3 3 4
1 4 4
2 2 1
4 4 1
10 7
2 1 1
2 3 1
2 1 3
1 0 3
3 1 3
1 2 3
3 2 0
2 2 0
0 0 0
1 0 1
10 5
0 2 1
2 1 0
2 1 1
2 2 0
0 2 2
2 0 2
0 1 0
1 0 0
2 1 2
1 0 1
10 9
2 2 0
0 3 4
1 0 4
2 2 1
1 2 3
4 0 0
1 3 4
0 0 4
3 1 1
0 2 3
10 7
2 0 3
4 0 2
1 1 1
3 4 4
0 1 1
4 3 0
1 2 3
3 4 2
3 1 4
0 1 2
10 6
3 1 0
5 3 1
4 3 5
5 0 2
1 1 3
2 1 3
3 4 1
0 1 2
1 5 1
1 2 2
10 8
1 4 1
3 5 3
0 1 3
2 1 1
3 3 4
2 2 3
5 3 0
3 1 1
0 2 4
0 1 4
10 4
2 1 3
2 3 2
2 2 1
3 1 2
3 3 1
1 0 1
3 1 0
0 1 3
0 3 3
2 0 3
10 8
3 0 0
2 2 1
4 3 1
3 2 2
1 4 0
1 3 1
0 4 3
1 3 4
2 3 2
3 1 3
10 5
0 0 1
1 0 3
0 0 0
2 0 1
2 2 0
0 2 1
1 2 0
3 3 0
3 3 3
0 1 1
10 4
0 1 1
2 0 2
1 1 2
2 2 2
2 1 0
2 1 2
1 1 1
1 0 2
0 0 2
2 1 1
10 8
4 4 4
4 2 1
2 4 0
1 4 0
4 4 2
0 2 0
0 3 0
2 2 3
0 1 2
4 1 2
10 6
4 0 3
1 1 0
1 2 1
1 2 0
4 2 0
3 3 1
0 4 2
4 4 2
3 1 0
2 3 2
10 5
1 0 1
1 2 1
2 1 1
1 2 2
2 0 2
0 0 1
2 0 0
0 2 1
2 1 0
0 0 2
10 4
1 0 3
2 0 1
4 4 1
5 2 3
0 0 2
5 2 4
0 0 1
2 4 0
2 3 5
4 5 5
10 5
4 1 0
2 0 0
4 1 1
1 4 3
4 4 3
0 1 1
1 3 4
3 1 4
3 0 3
4 2 3
10 2
0 0 1
2 1 2
1 2 0
1 0 0
1 2 1
2 2 2
0 1 0
2 0 1
2 1 0
0 2 1
10 7
3 1 0
3 4 4
3 2 2
1 1 0
3 0 1
0 3 0
3 3 0
3 3 3
1 0 2
2 4 2
10 5
1 1 3
4 0 0
0 3 4
0 1 4
0 3 3
3 4 0
1 2 1
2 2 1
3 1 4
4 1 0
10 5
4 1 3
3 2 4
0 5 5
5 1 2
5 3 2
0 0 1
4 3 4
4 1 4
3 3 2
3 4 0
10 8
0 1 0
2 1 0
1 1 0
1 2 2
2 1 1
2 2 1
0 0 1
0 1 1
2 2 2
0 1 2
10 6
3 0 2
1 2 5
3 1 0
4 5 1
1 3 1
1 0 2
5 1 1
5 1 5
2 2 0
1 0 5
10 8
1 4 4
2 1 2
4 1 0
1 4 1
2 2 4
2 4 1
4 2 2
2 4 3
0 1 2
0 3 3
10 3
3 2 4
2 1 4
1 0 1
0 2 2
0 1 2
0 2 4
3 3 3
0 3 2
0 4 2
0 3 0
10 6
1 2 0
0 0 2
1 1 1
0 1 0
2 1 1
0 2 1
2 2 0
2 2 1
0 2 0
2 0 1
10 7
2 3 1
0 1 1
2 0 2
2 0 0
1 0 3
3 0 1
2 3 3
3 3 2
3 0 3
2 2 1
10 9
0 1 0
1 1 0
2 2 2
0 0 1
2 2 1
2 0 1
2 0 0
2 0 2
1 2 2
0 2 0
10 6
2 3 2
0 3 3
2 0 3
2 1 0
2 2 3
3 3 0
0 2 1
0 0 0
1 2 2
1 3 3
10 3
1 2 0
0 3 4
2 3 3
4 1 0
4 4 4
2 2 1
4 4 1
4 1 3
2 3 1
1 0 2
10 2
3 0 0
3 2 2
0 3 0
2 3 3
0 1 0
2 0 0
3 2 1
1 3 0
0 1 1
2 2 0
10 9
0 2 0
2 0 1
2 3 1
3 0 2
1 0 1
3 3 1
0 0 2
3 2 2
1 1 0
3 1 1
10 3
0 3 2
3 3 1
0 2 2
1 3 0
2 0 1
2 1 0
1 2 3
3 3 3
3 0 1
0 1 1
10 8
3 2 2
3 1 3
3 3 2
3 1 0
3 0 0
2 2 0
0 3 0
0 2 3
2 3 1
3 0 2
10 4
2 2 3
1 3 2
1 2 1
2 3 1
1 1 2
0 1 0
2 0 3
1 0 1
2 2 0
3 3 1
10 2
0 1 1
2 0 0
1 2 0
2 0 2
0 0 1
0 2 1
0 0 2
1 1 1
0 1 0
2 2 0
10 3
1 2 2
0 5 4
1 1 4
5 3 0
0 5 2
5 5 5
5 4 0
2 2 2
1 5 2
4 2 5
10 8
1 2 3
0 3 1
0 3 2
1 1 2
1 3 3
0 1 0
0 2 0
0 2 2
2 3 3
0 0 3
10 8
0 2 0
0 4 3
4 5 1
5 5 5
4 2 4
2 2 3
3 5 3
5 0 0
3 2 4
2 1 5
10 5
1 1 0
0 0 0
2 0 1
0 2 2
0 1 2
2 1 0
1 0 0
0 0 2
2 1 1
1 0 2
10 6
2 0 1
2 2 0
1 1 2
1 2 1
2 1 2
1 1 1
1 2 2
0 2 0
2 0 2
0 1 2
10 8
0 0 2
0 1 0
0 2 0
0 2 1
1 0 0
0 2 2
0 1 2
2 0 1
1 1 1
0 1 1
10 5
1 1 0
2 3 2
2 0 4
0 3 2
1 1 2
1 0 1
3 2 1
1 3 0
3 3 1
4 0 4
10 8
0 1 1
0 2 1
1 1 1
2 1 1
1 2 2
1 0 2
2 0 1
1 2 0
1 0 1
2 0 0
10 3
0 0 0
2 0 0
0 1 1
2 2 0
1 1 2
0 1 0
1 1 0
2 1 1
2 1 2
2 2 1
10 3
2 1 3
1 0 1
1 2 0
1 3 2
1 1 3
1 2 2
3 2 1
3 0 2
3 2 2
3 2 0
10 7
0 2 3
2 2 2
1 2 2
0 0 1
0 1 1
1 1 2
3 0 0
2 2 3
1 1 3
1 0 1
10 9
5 1 5
0 0 2
2 0 2
1 1 2
1 3 4
2 2 4
3 1 3
5 1 1
5 4 4
3 5 3
10 6
1 1 0
1 1 2
1 2 0
1 0 1
0 1 0
0 2 1
1 0 0
2 0 0
2 1 2
2 2 0
10 9
1 3 1
2 2 3
1 2 1
2 1 1
1 1 1
3 2 1
2 1 2
3 2 0
0 2 0
1 0 2
10 4
5 0 1
4 0 5
3 0 5
1 1 3
5 5 2
0 2 3
5 0 4
4 4 2
3 1 1
2 3 4
10 3
2 2 1
1 0 1
0 0 1
0 1 2
2 0 1
0 2 0
1 1 2
2 2 0
1 1 0
1 2 2
10 4
1 3 2
5 3 2
4 0 1
4 3 0
5 3 0
4 0 4
0 3 1
1 0 2
0 2 1
2 5 2
10 7
0 2 0
2 0 2
1 0 2
3 2 3
4 2 2
3 2 0
2 2 2
0 4 4
2 1 3
1 3 3
10 6
1 0 1
3 0 4
1 4 4
2 3 0
4 4 3
4 3 2
3 3 4
1 3 4
3 0 3
2 4 3
10 9
1 1 2
1 0 1
2 0 2
0 1 0
0 2 0
0 0 1
0 1 1
1 2 0
2 1 2
1 1 0
10 2
0 3 0
2 3 3
1 1 1
0 0 2
0 0 1
3 1 2
2 0 2
3 2 3
2 2 2
1 2 0
10 3
2 1 1
2 2 0
0 1 2
0 0 1
1 1 2
1 0 1
2 1 0
1 2 1
1 1 0
2 2 2
10 6
5 0 5
0 0 3
2 0 2
0 2 3
5 2 2
1 2 2
3 3 2
3 1 3
5 3 5
3 0 5
10 6
1 0 0
2 3 5
3 5 1
1 5 2
2 0 2
4 2 4
2 5 5
4 0 4
0 4 1
1 4 0
10 6
1 5 1
4 1 5
1 4 3
4 0 3
2 3 2
0 3 4
2 4 1
4 4 5
0 2 4
3 5 0
10 9
1 2 0
2 2 0
0 0 0
2 2 2
0 1 1
0 2 1
0 2 0
2 0 0
2 0 1
1 2 1
10 8
2 1 2
2 3 3
4 2 3
1 3 1
2 0 1
1 4 0
3 4 1
3 4 3
4 0 0
3 1 0
10 8
2 2 1
0 0 3
3 2 0
1 2 3
2 2 3
1 0 0
0 2 2
3 0 2
0 1 1
3 0 1
10 7
0 0 2
0 0 1
1 1 0
1 2 1
2 2 2
2 1 2
1 0 1
1 0 0
0 2 0
0 2 1
10 6
1 2 1
2 1 0
0 0 0
0 2 1
0 2 0
1 1 2
2 1 1
2 0 2
2 2 0
0 1 2
10 4
1 2 0
0 3 3
1 3 1
2 2 1
2 1 3
2 1 0
3 0 2
1 3 0
2 1 2
1 1 0
10 8
1 0 1
1 2 0
0 2 0
2 2 1
0 2 2
0 1 1
1 1 1
1 0 0
2 0 2
0 0 0
10 7
2 2 2
2 2 1
1 1 2
0 2 0
2 1 2
1 0 0
2 0 0
0 2 2
0 2 1
1 2 2
10 7
3 0 3
1 3 0
2 1 4
3 2 0
3 3 1
0 0 3
3 1 3
2 3 2
2 4 4
1 0 3
10 3
3 1 0
3 3 3
1 1 2
1 0 3
1 3 0
3 0 0
3 2 3
1 2 3
1 0 0
3 2 0
10 2
3 0 0
0 4 4
3 4 4
4 0 3
1 3 0
0 3 2
1 3 2
3 1 3
4 1 0
0 0 1
10 6
2 1 0
0 2 2
0 0 2
2 2 0
0 0 0
2 0 0
0 2 0
1 1 0
0 0 1
1 0 2
10 2
4 0 1
0 4 1
3 3 4
2 0 2
4 2 4
0 1 0
3 2 3
3 4 4
4 2 0
3 0 3
10 6
3 5 1
5 2 4
3 3 3
5 0 1
1 3 2
0 3 4
2 5 5
5 0 2
2 2 4
3 3 0
10 2
0 0 1
0 0 2
1 1 1
0 2 0
2 2 1
2 0 2
0 0 0
0 1 0
2 2 0
0 2 2
10 9
2 2 2
0 3 0
0 3 2
1 4 1
2 4 0
3 2 1
3 4 3
2 1 1
3 3 0
2 5 2
10 5
4 0 3
1 4 2
2 2 4
1 2 0
1 0 2
2 4 3
3 3 2
3 4 4
0 1 0
2 3 0
10 9
0 2 1
1 2 2
0 1 1
2 2 2
2 1 2
2 1 0
1 0 2
2 0 0
0 2 0
2 2 1
10 6
1 0 3
1 2 0
1 4 1
4 2 3
1 4 2
0 4 0
1 2 2
3 1 3
3 0 4
2 2 2
10 4
2 1 4
4 1 4
1 2 1
2 3 2
0 4 5
5 3 1
3 5 2
1 5 5
2 1 2
5 5 0
10 6
0 3 1
0 0 1
2 0 2
3 2 2
1 0 0
1 0 2
0 0 2
0 2 0
3 2 3
3 1 3
10 2
2 1 1
1 1 2
0 2 0
0 1 0
1 2 1
1 0 2
2 0 1
0 2 2
2 0 0
1 0 1
10 8
0 2 3
3 1 0
0 0 1
3 0 3
1 1 2
1 3 2
3 1 2
1 2 1
0 1 3
1 1 3
10 3
2 1 4
1 1 2
0 1 4
2 3 0
1 2 1
3 3 1
0 4 3
2 4 1
4 1 4
1 0 2
10 7
1 0 1
0 0 0
0 3 0
1 0 0
2 3 3
2 1 0
3 3 1
1 1 3
3 2 3
0 0 2
10 8
0 0 0
2 1 1
0 1 2
2 1 2
2 0 0
0 0 2
1 1 2
1 2 2
2 1 0
1 1 0
10 4
1 1 1
3 1 1
4 2 4
4 4 3
3 2 4
4 3 0
3 1 2
3 0 0
2 1 3
0 3 4
10 9
1 2 0
0 2 1
2 3 2
3 3 2
3 2 2
1 3 3
0 2 0
3 0 3
2 1 3
3 2 1
10 8
2 2 1
1 1 2
1 1 1
1 2 0
2 0 1
0 0 2
2 0 0
2 1 1
1 2 2
1 0 1
10 4
1 1 1
2 2 0
1 0 0
2 0 2
2 0 0
1 2 0
1 1 0
0 1 1
2 0 1
0 1 2
10 6
2 0 3
2 0 1
1 3 0
0 3 3
3 1 1
1 0 2
2 2 1
0 3 1
1 3 2
1 0 1
10 4
2 2 1
2 2 0
0 3 2
1 3 5
2 0 4
1 0 1
1 3 3
2 1 5
4 0 3
0 5 4
10 7
3 2 3
3 4 4
1 4 3
0 1 0
1 2 3
1 2 4
4 4 3
1 0 4
0 4 4
4 2 3
10 6
2 1 2
2 0 1
1 1 0
1 0 0
0 0 1
1 2 2
0 2 1
2 2 2
0 1 2
1 1 1
10 7
0 4 2
4 0 1
3 3 0
4 3 2
1 0 2
1 4 3
0 2 3
0 3 1
0 0 4
1 0 0
10 4
3 3 3
2 1 2
1 3 0
0 1 3
2 0 2
2 0 1
1 0 3
1 1 0
0 3 3
1 3 2
10 6
1 0 2
1 1 4
1 2 2
0 2 0
5 2 2
2 3 3
5 3 2
5 3 0
0 5 1
5 2 0
10 2
2 2 2
2 1 0
1 2 1
2 2 0
2 0 2
2 0 0
0 1 1
2 2 1
0 2 2
1 1 1
10 2
1 2 0
0 0 1
0 0 0
2 2 1
2 0 1
2 1 0
1 0 2
1 2 2
2 2 0
2 2 2
10 7
2 1 3
3 1 1
1 3 1
0 1 0
2 0 1
2 3 2
0 0 1
0 2 1
2 1 1
2 2 1
10 6
2 3 2
1 1 2
0 1 1
0 1 2
3 2 2
3 0 0
2 3 0
3 3 1
2 2 0
3 2 3
10 6
1 1 4
5 3 0
2 5 0
3 1 5
4 3 0
4 2 0
5 2 1
2 1 5
0 1 1
3 5 4
10 4
0 0 2
2 2 2
0 2 2
0 1 2
2 1 0
2 0 0
1 2 1
2 0 2
0 2 0
0 0 1
10 6
0 1 2
2 1 1
3 2 2
1 2 3
0 3 0
2 0 1
3 3 0
0 0 2
0 1 1
1 3 0
10 5
1 1 3
2 1 0
0 4 3
1 3 0
5 2 3
2 4 2
0 1 2
0 3 1
3 1 3
4 0 0
10 2
3 1 2
0 1 2
2 1 3
0 0 2
2 2 2
0 1 1
2 1 2
0 1 3
0 2 2
3 1 0
10 5
3 5 1
5 3 1
4 2 5
3 1 5
0 1 2
0 0 4
2 5 2
1 1 2
3 0 0
0 1 4
10 7
5 2 4
0 1 0
5 5 4
2 1 3
5 3 3
0 2 2
1 2 5
0 1 5
2 2 0
0 2 5
10 5
3 1 2
0 1 3
3 1 1
3 3 0
3 3 2
1 0 3
1 3 0
2 2 1
1 1 2
1 2 2
10 4
3 2 3
0 0 2
2 2 2
2 3 3
0 2 2
2 2 3
3 1 3
3 1 1
1 3 1
1 2 2
10 6
0 4 0
3 2 0
0 3 2
0 3 0
3 4 3
3 3 3
0 0 3
1 2 0
4 0 0
1 0 3
10 5
1 2 2
0 1 0
0 2 2
2 1 1
0 0 2
1 0 0
2 0 0
0 0 1
1 1 2
1 1 1
10 8
4 0 0
3 1 4
2 1 4
2 4 2
3 1 0
1 3 0
1 3 2
2 4 0
2 3 2
3 4 0
10 2
2 3 3
3 3 1
1 1 3
1 1 1
2 1 2
0 2 2
0 2 1
0 0 3
1 2 2
0 0 0
10 6
3 5 2
1 0 1
4 4 0
0 1 4
5 3 2
2 1 3
5 0 2
3 1 1
2 2 1
0 0 3
10 8
5 0 1
1 4 5
0 2 5
0 3 2
5 3 1
2 0 0
4 2 5
2 5 0
5 5 2
5 0 0
10 5
5 3 5
2 2 1
2 5 2
0 2 5
1 1 4
1 2 5
2 5 4
4 2 0
2 0 0
4 5 5
10 7
3 1 1
4 4 0
4 0 4
2 3 0
2 1 2
0 4 1
4 3 3
0 0 0
2 4 4
4 2 2
10 8
1 3 5
2 2 4
1 4 4
2 0 1
0 2 2
4 5 2
4 2 2
4 4 4
0 0 4
5 1 2
10 6
0 2 0
2 0 2
1 1 2
0 2 1
0 0 2
2 2 2
0 1 0
0 1 1
2 1 2
0 0 0
10 9
1 2 1
2 4 4
3 4 1
2 1 4
0 3 1
2 1 3
0 0 4
1 1 4
1 2 3
1 1 0
10 6
1 1 4
2 4 3
0 4 3
0 4 1
4 3 1
4 1 3
2 3 0
3 4 0
3 2 0
0 2 4
10 5
2 3 3
0 3 3
1 1 3
1 0 1
1 0 2
0 0 2
3 1 2
1 3 2
3 0 0
3 1 0
10 6
5 0 4
5 2 4
3 5 2
4 5 2
2 0 5
5 4 1
5 5 1
5 3 0
2 5 2
4 2 3
10 5
2 3 3
0 3 1
1 3 2
0 0 2
0 3 0
0 0 1
0 3 2
2 0 3
1 0 0
2 3 2
10 2
2 1 3
5 5 0
2 3 4
3 2 2
0 5 2
1 3 4
5 2 5
4 0 2
0 5 4
0 5 1
10 6
2 0 0
4 0 2
0 2 1
4 4 2
4 1 4
0 2 2
1 2 0
1 2 4
2 2 3
1 3 1
10 9
2 0 1
0 2 2
0 3 1
1 0 0
3 2 1
3 3 0
3 2 0
0 2 3
0 3 3
2 3 1
10 7
1 1 0
0 1 2
0 1 1
2 1 1
1 0 1
2 2 2
1 1 1
1 0 0
0 1 0
2 1 2
10 8
3 3 2
4 0 3
4 1 0
2 4 4
2 4 0
3 1 0
2 4 1
0 1 0
0 4 3
2 0 1
10 7
4 3 1
4 4 2
0 0 4
3 0 3
0 2 0
2 2 3
1 4 1
4 1 1
2 4 4
4 2 2
10 7
0 1 1
2 0 1
2 2 0
1 0 1
0 1 0
1 2 1
2 1 0
1 1 1
0 2 2
2 2 2
10 3
2 0 0
2 0 4
2 4 2
1 3 2
3 2 3
2 4 0
1 2 1
3 3 2
0 1 4
3 3 0
10 7
2 0 0
2 2 2
1 0 0
0 2 0
0 1 0
0 0 0
1 1 2
0 0 1
2 1 2
2 2 1
10 5
4 3 2
5 1 2
4 1 1
3 3 3
5 3 0
4 1 0
3 4 4
5 0 4
0 5 2
5 2 1
10 9
2 0 2
0 1 1
2 2 0
1 1 2
2 1 2
2 0 1
2 2 2
2 1 1
0 2 2
0 1 0
10 8
1 3 0
3 2 1
3 1 2
2 1 0
0 2 0
0 1 0
1 3 3
1 1 0
2 3 1
0 3 2
10 7
2 3 3
2 3 2
2 3 0
3 3 3
0 2 1
3 2 2
2 0 3
0 3 0
0 2 0
2 1 1
10 5
1 2 2
0 0 3
3 3 0
2 2 2
2 1 0
3 0 0
3 3 3
1 1 1
3 1 2
3 0 1
10 2
4 2 1
5 2 2
4 2 5
2 3 3
2 1 3
3 2 0
1 5 2
1 5 1
0 2 5
4 3 4
10 7
1 0 3
1 2 1
3 0 2
1 2 3
3 3 3
1 1 0
1 1 1
2 0 1
3 3 2
3 2 3
10 4
1 2 3
2 0 4
5 3 3
4 0 3
0 0 4
2 5 5
2 0 3
5 3 2
0 2 5
1 1 1
10 2
5 4 5
2 5 3
1 3 1
2 2 2
0 3 2
3 1 4
5 1 4
5 5 5
0 0 0
2 3 4
10 2
0 1 1
0 1 3
5 5 2
0 5 3
4 3 2
1 0 3
5 1 2
3 5 4
0 0 4
1 1 5
10 9
2 2 1
1 2 2
0 2 2
0 1 2
2 1 2
1 2 0
2 1 0
1 0 1
0 2 0
1 0 0
10 6
4 3 0
4 1 3
2 1 3
3 0 1
3 4 3
2 1 0
4 3 2
2 4 4
0 3 0
4 3 1
10 6
3 0 0
0 5 2
3 5 1
1 1 3
3 4 5
3 5 5
2 5 3
0 1 1
5 1 2
1 3 0
10 9
1 3 3
0 1 1
3 1 1
0 2 1
2 3 1
2 0 3
0 3 1
0 1 2
3 2 2
3 2 1
10 5
0 0 1
1 1 2
1 1 1
0 0 0
1 0 2
0 0 2
2 2 0
2 0 2
0 2 1
2 0 1
10 4
3 1 1
2 3 0
0 0 1
3 0 1
1 3 2
0 1 1
1 3 1
1 2 0
2 3 1
0 3 3
10 4
3 0 2
1 2 4
2 2 3
1 1 3
4 3 3
3 1 1
4 2 3
4 2 0
3 0 1
4 1 4
10 6
0 0 0
0 1 2
0 0 2
1 2 1
2 2 1
1 0 2
0 0 1
2 0 0
2 1 1
2 2 2
10 4
3 0 2
3 0 1
2 3 3
3 2 0
2 3 2
3 2 1
0 2 0
0 3 0
1 0 1
0 3 1
10 6
1 0 1
5 0 0
1 0 4
1 5 2
3 0 4
3 3 1
1 5 0
1 3 1
0 0 0
4 1 0
10 8
0 1 0
0 1 2
2 1 0
1 1 2
0 0 2
0 2 0
2 0 1
0 2 1
1 2 0
0 0 1
10 4
3 3 0
1 1 0
3 1 2
2 2 3
0 3 1
3 3 1
0 0 1
3 0 2
1 2 0
0 2 2
10 9
2 2 1
2 3 3
3 3 3
1 3 2
3 0 1
3 0 3
0 2 2
2 3 2
3 0 2
1 0 2
10 6
2 1 2
2 3 1
3 0 1
3 0 3
0 0 3
2 1 0
0 3 2
2 0 3
2 2 1
1 2 0
10 2
0 1 2
1 3 1
3 2 4
2 0 4
3 2 1
2 1 1
2 3 0
4 2 0
3 1 3
0 4 3
10 3
2 2 3
2 1 1
3 2 3
1 3 2
3 0 1
2 3 2
0 2 3
3 0 3
0 0 0
2 1 3
10 3
2 2 2
1 0 0
1 0 1
1 1 3
4 2 0
0 2 1
0 4 4
0 3 0
4 2 1
2 1 2
10 2
0 2 1
3 1 2
3 1 0
2 2 1
1 0 0
2 0 2
2 1 0
3 2 2
0 0 1
3 0 0
10 7
0 1 3
2 0 0
3 1 1
1 3 3
1 3 1
3 2 3
3 1 2
1 1 3
0 1 0
0 2 1
10 7
4 1 4
5 0 0
2 1 2
3 2 0
0 2 2
2 2 4
1 2 4
1 0 1
1 1 1
5 0 1
10 9
5 5 3
4 3 5
2 4 0
3 1 5
2 0 3
1 0 4
1 0 0
0 4 4
4 1 1
2 5 3
10 4
2 3 1
4 4 4
0 2 0
0 0 0
1 4 4
1 1 1
3 2 4
1 0 1
0 3 2
4 4 0
10 2
3 5 2
1 5 3
0 4 4
2 4 0
1 1 2
1 0 5
2 5 0
5 5 0
5 4 3
4 2 2
10 5
3 2 4
2 3 5
3 5 1
3 5 3
5 0 5
5 0 3
0 1 3
4 5 1
2 4 0
2 4 3
10 7
1 2 4
0 0 3
0 0 4
3 0 1
0 0 0
2 1 4
1 3 1
0 3 4
0 3 3
4 1 2
10 8
1 3 3
5 2 4
3 2 2
2 1 5
1 2 5
5 2 0
5 1 1
0 2 1
2 3 2
2 5 1
10 2
2 0 1
1 2 2
0 0 0
2 2 0
2 1 1
0 0 2
0 0 1
0 2 0
0 1 1
1 1 1
10 5
0 1 3
0 1 1
1 3 1
3 2 2
1 1 0
0 0 0
1 3 2
3 0 2
0 0 2
2 0 2
10 6
0 2 1
1 0 2
1 1 0
4 5 5
4 1 3
5 1 2
3 1 4
3 4 3
3 0 4
2 1 4
10 5
0 1 1
2 1 1
1 2 2
0 0 1
1 1 2
0 1 2
1 0 0
2 0 0
1 1 0
0 2 0
10 2
0 1 2
2 2 1
1 2 2
2 1 2
0 2 0
2 0 0
2 2 0
0 1 0
1 0 2
2 2 2
10 7
2 1 0
2 1 2
1 0 2
0 0 0
0 0 2
2 0 2
1 2 1
0 0 1
2 2 2
0 1 0
10 9
1 2 0
2 0 2
0 0 2
2 1 2
0 1 1
0 2 1
2 2 2
0 0 0
0 1 0
0 1 2
10 5
1 2 5
3 1 2
3 1 1
2 4 5
5 1 3
0 4 0
4 1 0
5 0 1
3 5 2
2 5 2
10 6
3 0 1
1 3 2
0 0 2
3 3 3
2 0 0
1 1 3
0 3 3
3 2 2
1 2 3
1 2 0
10 9
0 2 1
1 0 2
1 1 1
2 1 2
2 1 0
0 1 1
2 2 0
1 2 0
0 1 2
0 0 2
10 9
2 3 1
3 3 3
1 2 1
2 3 0
3 1 0
3 1 2
1 1 1
1 2 0
0 0 1
3 2 0
10 9
1 2 3
0 2 0
3 1 0
1 3 0
2 3 3
2 1 1
3 1 1
3 2 3
2 3 2
3 0 1
10 2
4 2 4
3 1 2
2 4 2
0 0 4
2 2 1
1 5 5
3 5 5
1 5 2
0 3 0
1 3 3
10 3
2 0 1
0 2 1
2 1 1
1 1 1
1 0 1
0 0 0
2 0 2
1 1 0
0 2 2
2 1 0
10 8
1 0 0
0 1 0
1 1 1
0 0 0
1 0 1
2 1 0
0 1 2
1 1 2
0 2 0
0 2 2
10 5
4 0 5
3 1 0
0 5 3
1 5 2
0 0 0
2 0 0
1 2 5
4 3 5
1 2 0
2 0 4
10 6
2 1 1
2 0 0
0 4 0
4 4 4
1 4 0
0 0 0
3 4 1
3 3 2
0 1 4
1 2 2
10 7
1 2 4
2 1 2
3 0 0
3 1 0
3 0 3
1 4 0
1 1 4
2 1 0
0 4 3
3 2 2
10 7
2 1 1
0 0 0
1 2 2
2 2 1
1 1 0
0 2 1
1 1 2
2 2 0
1 1 1
2 0 1
10 6
2 2 1
2 2 0
0 2 0
1 0 0
1 1 2
0 0 0
2 1 2
2 0 2
2 1 1
2 2 2
10 3
3 0 1
4 4 3
2 1 0
3 2 2
1 1 0
4 0 2
3 0 4
0 4 2
4 1 1
4 0 0
10 5
2 3 3
4 4 2
1 1 1
1 0 2
4 1 4
4 0 0
1 4 0
1 3 0
0 1 1
3 3 1
10 3
2 1 0
0 1 2
0 1 0
2 1 1
4 2 0
0 4 0
4 2 4
1 1 0
3 4 4
4 0 2
10 8
4 5 2
0 5 0
3 2 2
5 3 1
2 1 0
4 1 0
3 1 5
4 1 5
3 2 1
0 3 1
10 4
3 5 4
3 4 0
2 2 4
2 4 4
0 2 0
4 1 4
2 0 0
3 5 1
0 2 1
1 4 3
10 7
2 0 2
0 0 2
0 0 0
1 0 2
0 0 1
0 1 1
0 2 1
0 1 0
2 0 1
2 1 0
10 2
0 3 1
2 2 2
3 2 2
3 2 0
3 0 2
3 1 1
3 3 3
2 1 1
2 1 3
0 2 0
10 6
0 2 5
4 4 2
2 4 4
2 3 5
0 0 3
4 2 0
4 2 4
4 3 4
5 1 2
4 0 2
10 3
3 1 0
3 2 2
2 3 2
2 1 3
0 3 2
1 3 4
2 2 4
0 2 4
0 4 0
0 1 2
10 5
0 0 2
1 2 3
0 1 1
2 0 2
0 3 1
3 1 1
1 1 3
2 2 1
0 3 2
3 3 2
10 8
3 1 0
3 3 3
3 3 1
3 1 1
0 2 0
0 3 1
3 2 3
1 2 1
3 0 0
2 3 3
10 4
3 1 5
1 3 4
3 1 1
5 2 4
1 3 2
0 1 4
3 5 1
4 5 5
2 1 3
2 5 3
10 3
1 0 1
2 2 4
2 4 4
0 0 0
3 3 2
1 4 0
2 4 3
1 3 3
1 1 3
4 0 0
10 6
1 0 0
2 2 1
2 0 1
0 2 0
1 1 2
2 0 0
1 0 2
1 2 1
0 1 2
1 0 1
10 2
1 2 5
2 2 4
3 1 2
0 4 3
5 1 1
2 5 5
2 4 3
5 4 4
0 5 4
2 3 0
10 9
2 1 0
4 3 4
1 3 4
0 3 4
2 4 2
2 3 1
3 2 2
2 1 3
2 0 1
1 0 0
10 4
1 4 0
2 1 3
4 4 0
4 2 1
0 0 1
2 4 2
0 4 1
2 1 4
4 3 2
1 1 4
10 8
4 0 4
2 3 3
5 2 2
5 5 3
4 2 4
4 5 3
2 1 1
5 2 4
2 5 2
2 0 1
10 3
0 2 1
0 0 1
3 4 4
3 3 1
0 0 3
2 3 1
3 2 4
2 4 2
2 3 0
3 2 0
10 6
2 0 0
1 2 0
2 2 5
4 5 2
0 3 0
5 1 3
1 1 1
2 1 4
1 5 0
1 5 5
10 2
1 2 3
1 2 0
3 3 0
1 3 3
2 2 2
2 2 1
3 3 1
1 2 1
2 1 3
1 1 3
10 3
2 2 1
5 3 1
1 0 1
2 0 1
2 5 0
2 3 1
3 1 5
5 0 0
5 5 3
5 1 4
10 5
3 2 3
1 2 4
2 4 1
3 0 0
3 0 4
0 4 3
4 2 4
2 0 1
0 4 2
3 1 1
10 6
3 2 2
2 2 1
3 2 3
3 0 3
2 0 3
0 0 1
1 3 3
0 2 3
0 3 1
2 0 2
10 5
2 1 2
2 2 2
2 2 0
2 0 2
0 2 1
0 1 1
0 2 0
1 1 0
2 0 0
0 2 2
10 5
5 5 5
4 3 1
4 0 5
0 2 2
2 0 2
4 1 5
4 3 2
1 4 3
0 5 2
5 3 4
10 5
0 0 1
2 1 2
1 1 1
2 0 2
0 1 1
1 2 1
0 2 1
2 1 0
1 0 1
1 2 2
10 5
2 3 2
0 3 3
2 1 2
0 1 2
3 1 2
1 3 2
3 1 0
1 3 0
1 0 0
1 0 3
10 8
0 4 1
2 4 5
3 4 0
3 2 2
0 0 2
0 4 3
4 5 4
5 3 3
5 4 4
3 0 3
10 4
3 2 3
0 0 3
0 0 4
0 3 2
1 2 2
2 3 2
1 5 0
3 4 5
2 2 0
3 0 2
10 9
0 1 0
0 1 1
1 2 1
0 2 2
3 2 2
0 1 2
2 1 1
3 0 2
0 3 3
2 3 3
10 2
0 2 2
2 2 2
4 5 3
3 1 1
1 5 5
4 4 2
3 4 4
2 5 1
3 2 0
0 3 5
10 2
0 0 2
1 2 0
2 1 2
1 1 2
1 2 2
0 1 1
1 0 1
1 1 1
1 0 0
0 2 2
10 7
1 1 1
3 1 1
3 0 3
3 1 3
0 2 2
3 2 0
0 1 3
2 1 1
3 1 0
2 2 2
10 8
3 3 0
1 0 3
3 2 3
3 1 2
3 3 3
0 2 3
1 2 1
1 1 0
1 3 2
2 0 2
10 9
1 3 0
3 3 1
1 1 1
3 2 0
2 3 1
3 0 0
3 3 2
0 0 3
1 2 3
3 1 0
10 5
3 3 0
2 3 1
0 0 2
1 1 4
0 0 1
3 0 0
4 4 4
4 3 0
4 1 0
3 2 2
10 7
1 2 2
2 1 1
0 0 2
0 2 3
3 3 1
3 2 0
0 1 3
1 0 1
0 2 2
2 0 0
10 3
2 3 1
5 1 0
3 5 0
2 0 4
2 1 5
4 1 0
1 3 5
5 0 5
0 5 0
0 5 1
10 9
1 2 2
1 2 1
0 0 0
0 0 2
0 2 2
1 1 0
1 2 0
2 2 1
2 0 1
1 0 2
10 2
1 3 2
1 1 2
0 3 1
2 1 1
1 1 1
0 1 1
2 1 0
3 2 1
2 2 0
1 1 3
10 6
4 5 0
2 5 0
0 2 4
0 5 0
2 1 3
2 2 2
3 5 0
2 3 0
2 1 5
1 1 5
10 8
0 2 2
0 1 2
3 3 0
2 2 2
0 2 0
3 2 3
3 0 1
1 2 0
3 2 1
3 1 0
10 2
3 2 4
0 3 4
3 4 1
1 3 3
0 4 2
4 3 2
2 1 0
3 1 3
4 0 4
3 1 2
10 6
4 4 3
2 4 2
4 0 0
0 3 4
2 4 3
4 3 4
4 4 0
2 2 3
3 3 0
3 4 3
10 8
2 0 2
0 1 1
1 2 0
2 1 2
1 0 0
0 0 1
1 1 0
0 1 2
2 0 1
1 2 1
10 8
0 2 2
1 0 2
0 1 2
0 2 1
1 0 0
1 0 1
1 1 0
0 0 1
2 1 0
1 1 1
10 6
1 1 0
0 2 1
0 1 0
1 1 2
0 2 0
1 1 1
1 2 1
0 0 1
2 0 0
1 2 2
10 3
2 3 1
0 0 0
2 3 0
0 2 2
1 2 2
1 2 4
2 2 0
1 1 0
0 0 4
2 1 0
10 5
4 3 4
4 3 1
1 4 3
0 0 4
1 0 4
3 2 3
4 2 2
3 0 4
0 0 0
0 3 0
10 5
1 0 3
1 1 2
4 1 0
3 0 0
2 1 3
0 0 0
0 3 1
1 2 2
3 2 3
2 0 3
10 5
5 3 2
5 1 0
2 0 5
0 3 2
3 4 4
2 5 4
4 4 1
1 2 0
4 3 0
0 3 1
10 8
3 2 0
5 3 3
1 5 5
3 0 2
4 5 0
4 4 2
2 5 3
5 2 2
5 2 4
3 3 4
10 9
3 3 1
1 1 1
1 1 3
1 2 2
1 2 0
0 3 0
2 0 3
0 2 2
3 0 0
0 2 3
10 7
3 3 1
3 2 0
3 1 3
3 0 2
3 3 3
0 2 3
1 3 2
2 0 2
1 1 1
2 3 2
10 6
2 4 3
1 3 3
1 1 4
1 0 3
1 4 2
3 0 4
0 3 3
2 1 4
2 4 4
4 4 1
10 6
1 0 1
1 2 2
0 1 2
0 0 0
2 2 0
1 1 0
2 0 0
0 2 2
2 1 2
1 1 2
10 3
1 4 4
4 4 3
1 1 2
2 2 2
4 1 2
4 2 2
0 1 0
1 1 1
1 2 4
1 0 0
10 2
2 0 0
1 2 1
0 1 2
1 0 2
2 1 0
0 2 0
0 1 0
1 0 0
1 0 1
1 1 2
10 6
1 0 0
0 4 4
4 2 1
4 0 2
3 3 4
1 1 3
4 1 0
0 2 0
3 0 4
3 1 4
10 8
2 1 3
2 3 1
2 2 3
0 1 1
3 3 2
0 0 0
3 2 0
3 0 2
0 0 1
1 3 3
10 7
2 0 3
3 2 1
1 3 0
3 3 1
0 1 3
1 0 3
1 2 1
2 3 3
2 1 1
3 1 1
10 7
3 2 2
2 0 1
2 1 0
1 2 1
2 0 2
1 3 3
0 2 0
0 1 2
2 1 3
0 0 3
10 5
3 3 0
2 0 3
2 2 1
0 0 0
3 0 1
3 2 2
3 2 1
2 1 3
1 3 2
1 1 0
10 9
2 1 1
0 0 0
1 0 1
0 0 1
0 1 0
2 2 1
2 1 0
1 2 0
0 1 1
1 0 2
10 2
2 1 2
1 0 3
1 3 1
2 0 3
1 0 2
1 4 2
2 1 4
1 4 1
3 0 2
4 0 1
10 5
0 0 2
0 0 1
1 2 2
0 2 2
2 2 0
1 2 0
0 1 1
1 1 0
2 0 1
2 2 1
10 9
0 0 2
2 0 1
0 2 2
1 2 1
0 0 0
1 1 1
1 0 1
2 2 2
2 0 2
1 1 0
10 3
1 0 2
0 3 2
1 0 3
1 1 1
2 2 1
3 1 0
3 0 1
3 2 3
2 0 2
1 1 0
10 2
3 5 3
2 4 2
1 5 5
4 3 5
5 5 1
3 3 4
0 2 3
1 4 0
3 2 4
2 0 5
10 3
1 5 3
0 4 3
4 1 3
3 3 5
2 0 2
5 3 5
0 0 3
3 4 3
3 4 5
3 4 1
10 3
3 1 0
1 2 2
2 1 1
2 1 0
1 1 2
0 1 3
2 2 0
3 2 0
0 3 0
0 2 1
10 7
0 4 3
4 5 0
2 5 0
4 3 4
0 0 0
1 1 5
1 0 2
1 5 3
5 2 3
4 0 3
10 3
1 3 5
5 0 5
2 1 0
0 2 3
2 4 4
4 4 3
0 3 3
4 5 5
1 3 4
4 0 2
10 9
2 0 0
0 1 0
1 2 1
2 2 2
2 0 2
2 0 1
1 1 1
1 0 1
0 0 1
0 0 0
10 5
1 0 2
1 0 0
1 1 0
0 1 1
2 0 1
0 0 0
2 2 0
1 0 1
2 0 0
2 2 2
10 5
4 0 0
1 4 4
1 0 2
4 3 4
4 1 3
4 3 0
1 3 3
0 4 3
3 1 1
4 2 3
10 7
0 1 2
2 1 0
1 0 1
1 0 0
2 0 0
1 1 0
0 2 0
1 1 2
1 1 1
1 0 2
10 7
4 0 2
0 3 2
4 1 3
2 0 0
2 1 2
0 3 4
0 3 3
1 1 3
3 1 4
1 2 4
10 4
2 3 1
0 0 0
2 3 0
1 1 0
2 0 2
1 4 4
0 2 3
1 0 0
3 0 2
3 2 1
10 4
1 1 1
0 1 2
1 0 1
2 1 2
2 2 1
1 1 0
0 0 2
2 1 0
0 0 1
2 0 0
10 5
1 2 0
2 0 1
0 1 0
4 2 4
4 2 1
3 2 4
0 2 3
4 0 1
0 3 3
3 4 0
10 5
1 4 0
1 0 4
3 2 3
4 0 0
4 0 4
1 1 2
4 4 3
4 1 2
2 2 4
3 1 3
10 3
1 2 0
4 1 2
1 4 5
1 5 1
5 3 2
5 0 5
2 0 2
4 0 4
3 3 4
5 1 4
10 4
1 1 0
1 2 2
1 0 0
0 0 0
1 2 1
1 1 2
0 2 2
0 2 0
2 1 2
2 1 1
10 7
0 3 2
0 4 0
3 3 3
0 4 3
4 1 0
0 2 2
4 0 1
2 4 2
2 0 1
4 4 4
10 4
2 1 2
2 1 0
2 2 1
2 0 2
0 2 2
1 1 0
1 0 1
0 2 0
0 0 0
1 0 0
10 8
3 0 3
0 3 0
3 0 0
4 2 3
1 5 2
5 4 1
2 2 1
2 0 3
4 0 2
4 4 5
10 5
2 1 1
0 0 1
3 1 3
2 2 3
2 3 3
2 1 2
1 1 1
3 0 2
0 1 0
0 2 2
10 8
0 1 1
0 1 3
5 3 3
4 1 1
0 3 4
4 4 1
3 3 0
0 3 2
2 4 5
4 5 5
10 2
1 0 0
2 1 1
2 2 1
1 0 2
2 0 2
0 2 2
0 0 0
0 1 1
1 2 1
1 2 2
10 6
2 0 4
2 2 5
1 4 4
3 0 1
3 4 1
2 2 2
3 4 3
3 5 3
3 1 1
0 5 5
10 8
0 2 1
0 1 2
3 2 2
0 3 2
2 1 0
1 3 1
1 3 2
0 0 2
1 0 2
1 2 3
10 8
4 0 3
0 3 1
1 3 2
2 4 2
1 1 4
5 5 2
2 2 4
1 0 1
0 1 0
1 2 4
10 3
3 0 1
5 4 0
3 1 5
2 3 1
3 0 2
0 3 5
5 2 0
4 2 1
4 1 3
3 4 1
10 4
4 1 2
4 0 4
1 1 0
2 3 1
1 3 1
2 0 3
3 2 4
2 4 4
0 3 3
3 2 0
10 4
2 1 1
0 2 1
0 0 2
2 0 1
0 0 0
1 1 1
0 1 0
1 1 0
1 2 2
1 0 2
10 7
2 0 2
1 2 0
0 2 2
0 1 1
2 1 1
0 0 2
0 1 2
1 0 2
2 1 2
1 1 2
10 3
1 1 4
0 0 3
0 5 4
2 3 1
2 0 1
5 3 1
0 4 0
0 1 0
2 4 5
0 2 3
10 5
0 0 0
3 0 1
3 1 2
1 3 1
3 0 0
3 2 3
0 2 3
2 0 1
2 2 3
1 1 2
10 6
0 1 1
0 1 0
1 2 2
1 1 2
1 0 2
2 2 1
2 0 1
0 1 2
2 0 2
2 2 0
10 5
3 1 2
4 2 3
4 0 3
0 2 3
2 0 2
1 3 1
0 1 0
1 1 4
1 3 4
2 2 2
10 8
2 2 1
3 3 1
0 1 3
2 1 0
2 1 1
1 3 0
1 0 1
0 3 2
0 0 2
0 2 1
10 7
1 2 1
3 3 1
2 3 2
0 0 0
2 1 3
2 3 1
1 3 2
3 1 3
1 3 0
2 0 0
10 3
1 1 0
2 3 1
3 3 1
1 3 0
3 1 1
0 2 3
2 0 3
2 2 0
1 1 1
2 3 2
10 9
3 1 0
2 2 1
2 2 3
1 1 2
3 3 2
3 0 2
1 2 2
3 3 3
3 2 2
0 1 1
10 9
2 0 3
0 1 3
2 2 3
2 0 1
0 2 3
2 2 1
4 2 4
0 1 1
0 4 1
1 1 0
10 2
0 0 0
2 1 0
3 4 5
5 4 5
1 2 5
4 3 3
4 1 0
5 3 3
0 1 2
4 3 0
10 5
3 2 3
1 3 4
2 0 3
2 3 1
2 1 1
4 3 4
2 0 0
0 4 2
2 2 4
4 1 4
10 4
0 0 5
2 5 4
4 1 2
3 3 0
0 1 1
5 3 5
2 5 1
1 0 1
1 0 3
5 1 5
10 9
1 2 3
2 2 3
4 4 4
2 2 0
1 3 2
0 3 0
2 4 4
1 1 1
0 4 2
0 4 0
10 5
3 2 3
3 2 0
2 3 3
0 4 4
0 4 1
0 0 3
2 4 0
1 2 3
2 2 4
1 1 1
10 3
0 1 1
0 4 5
0 5 1
3 4 2
2 0 2
2 3 1
4 5 0
5 1 1
2 5 4
4 4 3
10 8
1 0 0
0 0 2
2 2 2
0 0 1
0 2 2
1 0 2
0 1 0
2 0 0
2 2 0
0 1 2
10 2
1 2 3
1 0 3
2 0 2
1 1 3
3 2 3
2 2 0
3 0 2
0 0 1
1 0 0
3 2 0
10 6
2 0 1
4 3 2
0 3 0
1 3 3
1 1 0
1 2 0
0 1 0
2 3 1
3 1 1
2 3 2
10 6
1 0 0
4 1 2
0 3 2
0 3 3
3 3 3
3 0 0
2 0 1
2 3 2
2 2 0
0 1 0
10 7
1 1 2
3 3 0
3 2 0
0 2 1
1 2 0
2 2 2
0 1 2
0 1 0
3 1 3
3 2 2
10 6
0 1 1
0 1 2
0 1 0
0 0 1
2 0 2
1 1 0
1 1 2
1 1 1
0 0 0
2 1 2
10 4
1 2 0
0 1 4
0 1 1
3 3 0
0 2 2
1 1 3
3 2 4
0 3 3
3 0 2
0 1 0
10 7
0 0 2
1 0 0
2 2 0
1 2 0
1 0 1
2 2 2
2 0 0
0 2 0
2 0 1
2 1 1
10 6
1 2 1
2 4 2
4 2 4
4 4 3
4 0 3
4 3 0
3 1 3
4 1 1
3 3 4
2 3 0
10 6
2 0 0
0 2 2
2 2 2
0 1 2
1 1 2
2 1 2
1 2 1
2 2 1
1 0 0
0 1 0
10 9
1 0 2
2 2 3
3 2 0
0 3 4
3 1 0
1 4 2
3 0 4
4 1 0
3 3 4
3 3 0
10 5
2 5 5
0 1 3
1 5 2
4 5 2
2 1 0
0 0 3
4 2 4
4 4 5
0 5 5
5 0 3
10 3
2 4 0
4 4 1
3 1 0
3 4 3
0 2 3
0 1 1
4 4 4
1 0 0
3 3 2
4 3 0
10 2
0 0 0
2 1 0
2 0 0
0 2 1
0 1 0
1 1 2
1 1 1
2 2 2
1 2 0
1 2 1
10 9
0 2 0
3 2 2
0 3 2
3 3 2
2 0 2
2 2 3
2 2 2
3 1 2
2 0 1
1 3 1
10 2
2 0 1
3 0 1
3 0 2
3 1 3
3 1 1
1 2 1
3 3 0
3 3 3
1 3 3
3 2 3
10 5
2 0 2
0 0 0
2 0 1
1 2 2
1 2 0
2 1 0
2 2 2
0 1 2
2 1 1
1 0 1
10 8
1 1 0
2 2 2
0 2 1
2 2 0
2 0 2
0 2 0
1 1 2
1 0 0
0 1 1
0 1 0
10 4
0 3 2
0 2 1
1 0 2
2 3 3
0 2 0
2 0 1
2 2 3
0 2 2
3 1 1
2 2 2
10 7
3 0 4
5 0 2
2 2 5
5 2 0
3 5 2
3 4 5
3 0 2
3 2 1
1 2 2
5 1 3
10 6
0 0 1
2 2 1
2 0 2
0 2 0
0 1 1
1 0 1
0 1 0
2 1 1
2 0 1
2 1 0
10 8
3 0 4
4 0 1
2 2 3
1 4 0
1 0 1
1 1 2
2 4 1
0 1 0
4 0 4
4 0 2
10 4
1 2 2
3 2 1
1 0 2
2 3 1
2 3 3
0 0 0
3 3 3
2 2 1
2 1 1
1 2 1
10 7
3 3 2
0 4 0
1 1 0
0 1 1
1 3 4
0 1 0
1 3 1
4 3 3
3 0 0
4 4 3
10 6
2 2 2
0 2 0
1 2 1
0 1 1
0 1 2
0 0 1
1 1 0
0 2 2
2 1 0
2 2 0
10 2
0 2 2
1 1 0
2 2 1
0 1 1
2 1 1
0 1 2
0 2 1
0 1 0
1 2 2
1 0 2
10 7
2 3 1
1 1 1
2 3 2
0 3 1
0 1 1
1 2 3
2 2 0
3 1 2
1 3 3
1 1 3
10 9
1 4 4
4 4 2
0 1 4
4 0 1
0 2 3
1 4 2
4 1 3
2 3 0
3 4 0
1 2 0
10 9
0 0 1
1 1 1
0 2 0
0 1 0
2 2 0
1 2 2
0 2 1
0 1 1
0 0 0
0 0 2
10 3
3 1 1
3 3 2
3 2 2
0 3 3
2 2 2
2 3 1
2 0 0
0 2 0
3 3 1
2 3 2
10 8
3 1 3
3 2 1
3 2 3
2 3 3
0 2 1
0 2 0
1 2 0
1 3 1
1 2 1
0 0 0
10 5
3 5 3
1 4 5
1 0 2
2 5 2
5 3 1
5 3 4
2 2 0
4 2 5
0 3 1
3 0 5
10 4
1 1 0
0 2 1
1 2 0
2 2 0
0 1 0
1 0 2
0 1 1
1 0 1
1 2 2
0 0 0
10 3
2 0 4
4 1 2
1 3 4
2 2 2
1 0 4
3 5 5
4 4 2
5 4 3
2 0 5
4 0 4
10 3
1 2 3
2 0 2
1 1 2
3 0 2
1 1 1
2 3 0
0 2 3
2 1 1
2 3 2
2 0 3
10 5
1 1 1
3 0 2
0 3 3
1 3 0
3 0 1
1 1 0
0 1 2
0 1 1
2 3 3
3 0 3
10 7
4 2 3
1 2 1
3 4 1
4 0 5
3 5 3
2 1 0
0 5 4
0 2 5
5 0 0
1 1 1
10 9
2 1 1
2 1 2
2 2 0
2 0 1
2 2 1
2 1 0
0 1 1
1 0 1
0 2 1
0 0 1
10 9
2 2 1
1 2 2
0 1 1
1 0 2
0 2 2
1 1 0
2 2 2
2 0 1
1 2 1
0 0 1
10 5
2 0 3
2 1 2
0 3 0
2 2 2
0 2 3
3 1 3
1 0 0
1 0 2
1 0 3
2 0 1
10 8
2 1 2
2 0 2
2 2 0
2 1 0
0 1 1
0 0 1
2 2 2
1 1 0
0 1 2
2 0 0
10 6
1 2 0
1 0 0
2 2 2
2 1 0
0 1 1
2 0 1
0 0 0
1 1 0
1 2 2
2 1 2
10 9
0 2 1
4 2 4
0 1 3
0 0 0
0 4 1
2 1 4
4 4 4
1 2 1
3 0 4
3 0 2
10 5
3 2 3
4 1 0
1 1 4
2 2 3
3 2 0
4 1 4
4 4 1
1 4 0
0 2 2
0 0 0
10 7
3 3 1
0 0 2
1 3 3
0 1 0
0 2 2
2 2 1
3 1 2
1 3 0
1 1 2
1 2 1
10 3
3 0 0
3 3 2
3 0 3
2 1 0
3 1 2
1 2 1
0 0 0
0 3 2
1 3 3
3 2 0
10 9
2 2 2
1 1 2
1 1 3
0 2 1
2 4 1
4 1 4
1 3 2
2 1 1
2 2 3
3 4 0
10 2
3 1 4
3 5 2
4 4 5
2 5 4
5 0 0
1 0 1
2 2 0
2 5 3
1 4 0
1 2 4
10 2
3 2 4
1 5 0
0 5 2
2 0 4
1 3 3
5 2 0
1 2 4
1 1 4
0 4 2
3 5 1
10 5
2 1 0
2 0 2
2 1 2
1 0 0
0 1 2
1 2 1
1 2 0
1 0 1
0 2 1
1 2 2
10 8
0 1 1
2 1 0
0 0 1
0 0 2
0 2 2
2 0 2
0 1 2
1 0 1
0 0 0
2 1 1
10 5
3 1 4
4 2 3
1 0 3
0 1 0
0 3 4
2 2 2
4 1 4
3 4 3
1 4 3
4 4 4
10 3
0 0 0
1 0 2
1 2 2
2 2 0
2 0 1
0 1 3
2 3 1
3 0 2
0 2 2
1 2 0
10 2
3 0 0
2 1 4
1 3 4
0 2 2
0 3 4
0 0 1
4 4 0
2 0 3
1 2 0
2 0 2
10 9
1 0 3
1 1 1
2 1 3
0 0 1
1 2 0
3 3 1
2 3 2
3 0 2
0 2 2
2 0 1
10 7
1 0 0
2 0 1
2 2 2
1 1 2
1 2 0
1 0 2
2 0 2
1 1 1
0 2 2
0 0 2
10 6
2 0 2
1 2 2
2 1 1
2 0 0
2 1 2
0 2 2
2 0 1
2 2 1
1 2 0
1 1 1
10 8
2 1 3
2 2 0
2 1 1
1 3 1
2 0 0
3 3 0
3 1 1
1 2 3
1 2 1
0 1 1
10 9
0 5 1
1 4 0
5 5 1
0 3 2
0 5 5
4 3 5
5 0 3
2 3 2
5 1 4
5 2 5
10 2
1 2 1
1 2 0
2 0 0
2 1 0
0 2 0
2 0 1
1 0 2
1 2 2
2 2 1
2 1 1
10 9
4 4 5
2 5 2
0 4 4
4 2 0
0 5 1
3 0 4
0 1 2
5 5 2
1 5 0
0 5 0
10 3
1 3 0
1 2 2
0 2 0
0 3 1
1 0 3
0 1 3
1 1 2
1 1 1
2 2 2
3 3 3
10 9
4 5 1
5 1 3
5 5 2
5 2 5
3 1 4
3 3 5
0 4 5
3 4 2
5 2 3
0 5 5
10 7
0 2 0
0 0 2
1 0 1
2 0 1
1 1 1
2 0 2
0 2 2
1 0 0
1 1 2
1 2 1
10 7
1 4 1
0 2 2
1 0 1
1 3 1
4 4 4
4 0 0
2 1 0
2 0 4
0 2 3
3 2 0
10 3
1 0 2
1 0 0
1 1 0
1 1 2
0 1 2
0 0 2
2 2 1
1 1 1
1 2 2
2 1 1
10 4
1 0 0
2 1 1
1 1 2
0 0 0
2 0 2
1 1 0
2 1 2
2 2 0
1 1 1
0 1 0
10 9
2 0 0
1 1 0
0 0 0
1 2 1
1 0 2
2 1 0
2 2 2
0 2 1
1 2 2
0 1 1
10 7
0 2 0
1 4 2
2 3 1
3 4 0
3 2 0
4 4 1
0 2 4
2 4 4
1 0 3
3 3 2
10 4
2 3 2
1 0 2
1 1 0
2 0 0
1 1 3
0 1 0
2 2 3
2 0 2
0 0 1
0 3 3
10 4
0 0 2
2 1 3
1 4 1
0 2 1
2 2 3
3 4 3
0 4 4
3 1 4
0 2 2
1 1 0
10 5
1 3 1
3 0 4
3 1 0
3 0 3
3 1 3
1 1 4
2 4 0
4 0 4
4 4 4
2 4 4
10 5
3 3 0
2 0 2
0 2 1
3 2 2
2 2 1
1 2 0
0 1 1
2 2 3
3 3 1
3 0 0
10 8
2 0 2
2 0 1
1 2 1
0 1 1
1 1 2
1 0 0
0 1 2
2 2 2
1 0 1
2 2 0
10 9
4 3 3
0 1 2
4 4 2
3 0 4
3 4 2
1 3 4
1 1 2
3 3 2
2 0 0
3 2 2
10 5
1 2 1
0 0 0
1 2 0
0 2 2
0 0 2
2 2 1
0 1 1
1 2 2
0 1 0
2 1 0
10 6
0 3 0
0 0 5
2 1 0
2 2 3
1 1 2
1 5 1
4 1 5
2 5 0
3 4 5
1 4 0
10 6
3 2 1
3 0 1
2 1 1
1 3 2
2 0 2
2 2 2
0 0 3
1 2 3
1 1 3
0 2 2
10 2
4 2 1
2 3 3
0 3 0
2 3 0
2 4 0
4 3 0
3 3 0
2 3 1
0 2 4
4 3 2
10 6
1 2 0
0 2 1
4 5 3
1 0 4
1 1 3
2 3 5
2 1 4
3 3 1
1 1 2
4 4 2
10 8
1 1 5
4 4 5
0 4 3
4 3 1
3 4 4
4 5 5
2 4 0
4 2 2
5 3 2
5 0 2
10 9
1 0 2
3 3 1
2 3 2
2 2 2
2 0 0
1 3 2
3 2 1
0 2 3
3 1 3
1 1 0
10 5
2 3 2
4 2 0
2 3 3
1 4 1
4 4 4
0 3 4
4 1 4
4 0 1
2 3 0
3 0 1
10 5
1 3 1
1 4 0
1 4 4
4 4 3
2 2 0
0 1 1
0 0 4
0 1 3
4 4 1
1 3 0
10 9
1 0 2
0 2 2
2 0 2
1 1 2
2 2 0
0 0 1
1 0 1
0 0 2
2 2 2
1 2 1
10 4
2 5 5
3 4 5
3 1 3
0 2 3
1 3 4
4 5 5
0 1 3
5 0 4
3 0 1
0 2 5
10 9
3 1 4
4 3 1
4 3 4
0 3 2
3 0 1
0 0 2
0 4 0
3 4 3
4 2 2
3 3 0
10 2
3 2 3
2 0 0
3 0 3
3 2 2
1 1 3
1 2 2
1 1 1
1 2 3
0 0 1
3 3 2
10 2
1 1 0
4 0 2
4 3 3
1 2 3
1 2 2
4 1 0
0 3 0
2 1 1
2 3 2
4 0 0
10 7
2 2 5
4 5 3
5 5 3
1 4 3
0 5 5
0 1 0
0 0 3
4 4 2
0 1 4
0 0 4
10 2
0 0 1
1 1 0
3 3 0
0 1 1
1 1 3
1 1 2
2 3 3
2 1 2
1 3 2
0 1 2
10 4
2 2 2
2 0 1
0 0 1
1 0 0
2 2 1
0 2 1
1 0 2
1 1 0
0 1 0
2 1 1
10 5
0 1 3
2 2 3
2 2 2
3 1 0
3 0 3
1 0 2
3 3 1
3 2 1
0 0 1
2 3 2
10 8
0 0 0
1 1 0
1 0 2
0 1 2
2 1 0
2 2 0
0 2 0
2 0 2
1 2 0
2 1 2
10 9
0 1 0
1 2 1
2 2 2
0 0 1
1 1 1
1 0 2
0 1 2
0 0 0
2 1 0
1 2 0
10 5
0 0 0
1 1 1
1 2 0
1 2 1
0 1 2
0 1 1
2 2 0
0 2 0
2 0 1
2 1 1
10 6
1 1 4
4 4 0
2 4 2
3 1 1
2 2 2
2 1 1
0 4 0
4 3 4
2 1 4
2 4 3
10 9
2 0 0
2 1 1
0 2 1
1 1 2
0 1 2
2 1 2
0 1 0
0 2 2
2 0 2
1 1 1
10 4
2 2 2
1 0 0
2 2 0
0 2 2
1 2 0
1 1 0
2 0 1
0 1 0
2 0 2
0 0 2
10 9
1 1 3
1 3 2
2 1 0
3 0 0
2 0 1
3 3 2
0 1 0
0 0 3
0 0 0
3 2 0
10 5
2 1 2
1 0 2
1 1 2
2 2 0
0 0 1
0 0 0
0 2 0
0 0 2
2 2 1
2 1 0
10 7
0 3 1
1 1 2
2 1 2
0 3 3
1 0 1
1 1 1
3 2 1
2 0 2
0 3 0
1 2 0
10 9
5 4 2
4 1 2
5 4 3
1 1 1
3 4 3
3 3 0
3 5 4
4 0 5
4 2 3
0 3 0
10 5
0 1 4
0 3 0
4 1 3
3 3 1
2 5 1
5 2 0
2 0 0
5 0 2
2 4 0
2 4 2
10 9
2 0 1
2 1 1
0 0 2
0 0 1
0 1 2
0 0 0
1 1 1
1 0 0
1 1 2
2 0 2
10 5
3 0 3
3 1 2
3 2 1
0 0 1
2 3 3
1 3 0
1 3 2
3 3 2
2 2 3
0 2 3
10 2
2 3 3
1 2 2
3 3 2
1 0 0
1 0 1
3 0 1
1 2 3
3 1 0
0 3 0
1 2 0
10 2
2 3 1
4 2 1
5 2 3
2 0 2
0 1 3
5 4 0
2 4 0
1 5 3
2 1 3
5 2 0
10 2
1 0 2
1 3 0
1 4 4
1 3 2
4 4 2
1 0 4
2 4 1
2 3 1
0 2 0
0 1 1
10 8
0 1 0
0 0 2
0 2 2
0 1 2
1 1 1
2 2 0
0 0 0
1 0 2
1 0 0
0 2 1
10 7
0 3 2
2 2 3
3 3 2
2 1 2
4 2 1
0 2 4
1 1 3
1 0 2
2 0 0
1 4 1
10 7
2 1 1
2 0 2
1 2 1
1 2 2
0 2 1
2 1 2
0 1 0
2 1 0
1 1 1
0 0 2
10 8
4 3 2
1 3 4
3 2 3
4 1 1
2 1 4
1 1 1
4 2 1
2 0 4
4 3 3
4 0 2
10 7
0 0 2
1 0 1
3 3 2
2 2 2
3 2 4
1 3 2
4 0 0
5 2 0
3 2 0
2 1 4
10 9
3 1 5
2 2 5
3 3 4
1 1 4
5 5 2
0 3 0
2 0 2
5 4 0
3 1 3
2 1 3
10 4
1 1 1
1 1 2
0 1 0
0 0 1
2 0 0
1 2 1
1 0 1
1 0 2
2 1 0
1 1 0
10 5
4 4 2
2 5 5
2 0 3
3 1 0
3 3 0
1 1 5
2 3 0
3 5 2
0 0 4
3 4 4
10 2
0 1 1
0 2 2
3 2 2
1 1 1
0 3 2
3 1 2
1 3 1
1 2 2
2 3 3
3 1 0
10 4
0 0 1
0 1 0
2 0 2
0 2 1
0 2 3
1 1 0
3 1 1
1 0 2
1 0 3
0 3 1
10 6
4 2 1
2 0 1
2 0 0
0 1 4
4 0 3
3 1 2
2 0 3
4 4 2
3 0 4
3 4 4
10 7
1 0 3
2 3 1
0 2 1
2 3 0
1 4 3
4 2 2
3 0 3
3 0 1
1 3 1
2 3 3
10 9
2 1 1
0 2 0
2 2 1
2 0 1
1 2 2
0 0 0
1 1 2
1 0 0
1 2 0
0 0 2
10 7
1 3 5
3 3 2
5 1 2
0 3 2
3 0 1
5 5 1
2 0 3
0 1 4
1 5 0
3 5 1
10 4
2 1 3
3 3 3
1 2 3
3 2 1
4 2 2
0 1 3
0 4 0
2 1 2
3 1 0
0 0 2
10 3
3 3 0
1 1 5
4 0 0
5 4 5
4 0 4
0 0 3
0 5 0
5 1 2
3 3 5
4 0 1
10 3
3 4 0
2 3 4
2 2 2
2 1 3
4 4 3
3 4 2
3 3 1
2 4 0
2 0 2
2 2 3
10 6
3 2 5
4 1 1
2 1 4
2 1 2
5 2 1
4 2 3
5 1 5
0 3 4
1 5 4
2 5 4
10 2
1 2 0
4 5 3
1 4 0
5 5 0
3 0 5
4 2 5
1 2 2
2 3 2
5 4 1
3 5 2
10 9
1 0 2
1 2 1
1 0 1
2 2 0
2 2 1
0 2 0
2 0 1
2 1 2
1 1 0
1 1 1
10 8
0 4 1
4 2 4
4 4 0
1 3 1
1 1 1
4 4 1
4 4 4
4 4 3
4 2 1
4 1 3
10 7
3 3 2
1 2 2
3 0 0
3 2 2
0 2 3
1 3 2
3 1 1
1 2 1
2 1 0
3 1 0
10 4
3 4 4
0 0 0
4 2 4
5 1 4
4 1 5
1 2 3
3 5 2
4 3 5
2 1 0
0 1 2
10 8
4 4 1
3 0 1
4 2 2
4 4 3
3 4 4
2 2 2
2 1 1
2 3 3
2 1 2
4 2 3
10 8
2 4 1
0 0 4
4 1 0
3 4 0
4 2 4
4 1 2
1 2 3
4 1 4
1 1 2
0 3 1
10 8
3 3 3
0 3 0
2 2 3
3 1 2
0 2 0
2 3 0
1 3 0
0 0 3
3 3 2
1 2 1
10 5
0 1 0
2 0 5
5 2 4
3 2 2
1 2 4
1 2 5
4 5 3
0 2 0
1 3 4
0 3 1
10 6
3 3 0
0 1 2
2 0 2
2 1 0
3 0 0
1 2 2
1 3 3
3 1 3
3 3 2
3 0 2
10 5
2 1 1
4 2 4
0 3 2
1 1 1
4 4 2
1 4 1
1 0 3
1 3 0
1 4 0
1 3 1
10 9
4 1 5
2 0 0
2 5 2
5 2 2
1 0 4
1 1 1
1 0 3
3 2 3
3 5 3
2 2 4
10 2
3 5 1
5 0 0
2 3 3
3 0 1
0 1 2
3 2 5
4 3 2
2 1 4
2 0 5
3 3 1
10 4
5 5 2
1 2 2
5 2 4
5 3 3
4 1 3
0 5 0
4 5 2
2 4 4
5 3 4
0 0 0
10 2
0 2 2
1 0 1
2 2 2
0 1 1
2 2 0
1 0 0
2 0 2
1 2 1
0 1 0
0 0 2
10 9
2 2 2
1 2 2
0 1 1
0 0 1
0 2 0
1 1 1
0 1 0
0 0 0
2 0 1
2 1 2
10 6
1 2 4
0 3 4
2 5 3
4 4 3
5 3 2
1 3 0
2 3 4
2 5 1
2 3 0
0 4 2
10 3
2 3 1
0 3 0
3 3 0
0 2 2
0 1 3
2 0 1
2 1 0
1 3 2
2 0 0
0 1 1
10 2
4 4 1
3 0 0
0 0 0
3 3 4
3 4 3
0 4 0
2 1 1
3 3 3
1 1 1
4 1 2
10 8
2 4 0
0 3 1
4 0 0
0 1 4
0 2 3
0 1 1
3 4 4
3 4 3
3 4 0
4 0 2
10 2
2 1 1
1 0 2
1 2 2
0 0 2
1 1 2
1 2 1
0 1 2
2 1 0
1 1 1
2 0 0
10 9
0 3 5
1 0 1
0 4 0
0 5 4
1 4 3
4 0 4
2 4 0
0 2 0
2 5 2
4 5 3
10 4
2 2 0
2 2 1
1 0 1
2 1 2
1 1 2
2 0 0
2 2 2
0 0 1
1 2 0
0 2 0
10 4
0 1 0
1 2 0
0 2 0
0 2 2
1 1 2
1 2 2
0 0 0
1 2 1
0 2 1
2 1 2
10 9
2 2 0
3 1 1
5 5 2
4 0 1
1 0 5
4 1 3
2 3 4
0 4 1
5 5 5
2 5 1
10 4
1 1 2
0 0 1
5 3 4
5 1 2
2 0 2
1 0 3
3 4 0
1 1 0
2 2 2
0 5 4
10 5
4 2 3
5 0 1
2 3 2
1 0 0
4 4 0
4 0 5
2 1 5
5 0 3
4 5 3
1 1 1
10 6
0 2 2
1 2 2
0 1 2
1 2 0
0 0 2
0 0 0
0 1 1
0 0 1
1 1 1
2 0 0
10 3
0 3 0
3 0 2
2 1 1
4 4 4
0 1 1
3 2 2
3 1 2
0 1 4
4 4 0
0 4 2
10 6
3 0 0
3 0 2
1 3 3
1 3 1
2 2 3
3 0 1
1 0 2
2 1 3
2 3 1
2 3 0
10 8
2 0 1
1 0 3
0 4 4
2 0 3
0 5 1
2 5 0
5 5 5
5 5 0
5 3 5
2 4 0
10 7
3 0 1
1 0 0
3 2 1
2 2 2
2 1 1
2 0 1
0 2 2
3 3 1
1 1 3
2 3 0
10 2
0 2 3
3 0 1
3 4 3
0 0 4
5 0 0
4 5 2
0 4 4
1 1 0
1 1 5
4 2 1
10 2
0 0 2
2 1 1
1 1 1
2 2 0
0 1 1
2 0 0
1 0 1
1 2 2
1 2 1
2 1 2
10 8
1 2 3
3 2 0
1 3 2
3 3 1
0 1 2
3 0 1
2 2 2
0 1 3
1 1 2
2 0 1
10 8
3 0 2
1 0 3
3 1 1
3 2 2
3 1 2
0 0 0
0 0 2
0 3 0
1 2 0
3 3 1
10 4
1 0 4
0 3 1
2 4 2
2 4 5
5 5 5
5 2 2
3 5 3
2 3 0
4 2 2
3 5 2
10 9
0 1 2
1 0 3
2 2 0
1 1 0
0 3 2
3 1 2
1 0 2
0 2 3
3 2 3
1 1 3
10 8
2 2 1
2 0 0
2 1 0
1 2 2
0 0 0
0 2 2
2 3 2
0 3 2
2 3 0
2 0 1
10 5
1 2 0
2 1 1
2 1 0
2 0 2
1 0 1
2 2 1
0 0 2
1 2 2
0 0 0
1 2 1
10 5
1 0 2
3 2 0
4 0 1
0 2 0
2 0 3
2 0 2
1 4 0
4 4 3
3 2 4
2 4 3
10 8
1 0 2
2 2 2
1 3 3
0 0 1
0 0 0
2 1 0
2 3 3
3 2 2
3 1 0
1 3 2
10 4
1 3 1
1 4 4
2 0 0
2 2 1
2 0 1
2 4 2
3 2 0
0 1 4
3 4 4
4 3 4
10 5
5 5 5
5 0 3
5 1 1
5 3 0
2 1 3
2 3 3
4 1 3
4 5 4
1 1 0
2 4 4
10 3
2 1 5
4 1 0
1 2 4
0 0 4
2 0 0
1 0 3
1 2 1
2 5 2
1 5 0
3 3 5
10 2
3 3 0
2 3 4
2 1 4
4 2 0
0 4 2
1 0 0
3 4 2
3 4 3
1 0 4
1 4 3
10 9
0 1 0
1 1 2
1 2 0
2 2 1
2 0 2
0 2 2
0 2 1
0 1 1
0 1 2
2 1 2
10 4
4 3 5
2 0 5
3 4 1
3 4 5
5 1 4
1 5 4
1 5 5
2 0 1
3 3 3
5 0 3
10 3
3 5 5
3 2 3
4 5 1
3 0 0
5 4 4
4 1 4
5 5 4
0 0 2
4 3 5
1 1 0
10 2
1 2 0
1 0 1
2 2 2
0 1 1
2 0 1
2 0 0
1 1 2
2 1 2
2 1 0
1 1 1
10 6
2 1 1
0 0 1
1 2 0
1 2 2
1 1 1
2 1 0
2 0 1
0 2 1
2 0 2
1 0 0
10 7
2 0 1
3 2 3
3 1 0
3 3 3
2 1 1
3 0 3
0 2 2
1 2 2
1 3 1
0 3 3
10 3
2 0 2
1 2 2
0 1 0
2 1 1
0 2 0
0 2 2
0 0 1
0 2 1
2 0 1
1 0 1
10 4
1 1 5
3 5 2
0 5 5
1 1 4
3 2 1
2 4 3
5 4 1
1 0 4
4 0 2
3 4 4
10 5
1 0 1
2 1 0
1 0 2
0 2 0
2 0 1
1 0 0
0 1 1
0 1 2
1 1 0
2 1 2
10 3
1 3 2
3 3 4
1 4 2
0 2 2
4 2 3
2 0 2
0 3 2
2 1 1
3 0 0
2 4 0
10 5
0 0 1
2 1 1
1 2 1
1 2 0
2 0 0
0 2 2
2 2 2
0 1 0
1 1 2
2 1 2
10 6
1 0 1
3 0 1
0 3 2
3 2 3
1 4 0
1 3 4
2 3 2
4 1 0
1 2 3
2 1 2
10 9
1 0 2
0 2 0
1 2 1
2 2 0
1 1 1
1 2 0
1 0 1
2 0 0
2 0 1
2 2 2
10 8
0 1 0
0 0 2
0 2 2
0 0 1
1 0 2
0 2 1
0 2 0
2 1 2
1 2 0
0 1 2
10 2
0 2 1
1 0 3
3 0 2
1 1 1
3 3 1
1 2 1
1 3 3
0 3 3
3 2 3
3 3 0
10 4
2 0 2
3 0 3
2 0 1
2 4 3
3 2 0
2 2 2
2 0 0
3 2 1
1 4 1
2 3 4
10 9
1 2 2
2 0 1
1 2 1
1 2 0
1 1 0
1 0 0
2 2 1
0 0 2
0 1 2
2 1 0
10 5
1 1 1
1 0 1
2 1 0
1 0 0
0 2 1
0 1 0
0 1 2
0 2 0
0 2 2
0 0 2
10 2
0 1 1
2 3 3
3 1 1
1 2 3
0 0 1
2 0 0
2 0 1
3 3 3
0 3 2
3 0 1
10 8
2 2 3
0 1 0
1 2 2
0 2 1
2 3 0
0 3 2
3 1 1
3 0 3
3 0 0
0 0 2
10 4
1 1 3
4 1 4
0 3 3
0 1 3
0 4 2
2 4 0
3 4 2
3 4 3
1 3 1
3 2 3
10 4
0 1 1
1 3 3
3 2 2
1 2 3
3 0 0
3 1 0
3 2 1
2 3 2
2 1 0
2 3 3
10 4
1 0 0
0 0 1
3 4 4
0 4 1
2 2 1
0 1 3
0 2 0
3 1 4
2 2 3
2 4 1
10 4
1 2 1
1 1 3
0 1 1
2 2 3
1 0 1
3 0 0
2 3 1
0 0 1
1 0 3
0 3 0
10 5
1 1 2
0 0 0
2 2 1
0 2 0
2 0 0
2 0 1
1 2 2
2 1 0
2 1 2
1 1 1
10 4
2 2 1
0 2 2
1 3 1
1 1 3
0 3 1
0 3 0
2 0 1
1 1 2
0 0 0
1 1 1
10 6
4 1 4
1 2 0
0 0 3
0 1 1
4 0 3
4 2 3
2 4 1
3 2 2
3 4 4
2 1 2
10 6
0 2 3
0 2 4
5 5 4
5 0 1
0 2 1
0 4 5
5 0 2
4 3 2
0 0 1
0 5 0
10 5
1 2 2
1 1 0
0 1 0
1 1 2
2 0 1
0 0 0
2 1 2
1 0 0
0 1 1
1 0 2
10 8
0 1 4
2 0 3
1 4 2
0 1 3
2 3 4
0 2 2
3 4 4
3 3 2
1 1 1
4 3 1
10 9
1 3 1
1 1 0
2 3 3
0 2 2
3 2 2
0 3 0
1 0 3
2 2 1
2 1 2
1 3 3
10 9
0 3 4
2 2 2
0 4 0
4 3 0
2 4 4
0 2 4
3 2 2
2 3 1
4 2 2
1 0 0
10 7
5 4 4
5 0 4
3 0 0
5 4 0
3 1 0
4 0 4
1 3 0
2 2 1
2 0 5
4 1 3
10 9
2 2 1
1 0 0
0 2 0
1 1 2
0 0 0
2 1 1
2 0 0
1 1 0
2 0 2
0 2 1
10 7
0 1 2
2 1 2
1 0 2
2 3 2
1 2 0
1 2 1
2 0 3
3 2 2
0 2 2
0 3 2
10 6
2 0 2
0 5 5
4 1 2
2 5 0
1 1 2
3 1 5
4 5 4
4 1 0
5 1 5
3 2 4
10 7
0 0 2
0 1 1
1 2 2
0 0 1
0 2 2
2 0 0
2 1 2
0 2 0
2 0 2
1 2 0
10 2
0 3 1
1 0 2
0 2 0
1 1 2
0 2 1
0 2 3
1 3 3
1 1 0
0 1 3
2 2 2
10 5
1 4 3
4 0 2
2 4 3
1 0 0
1 0 4
0 3 0
2 1 1
0 1 0
3 3 2
4 1 3
10 4
1 1 0
0 0 2
2 1 1
2 2 1
2 1 2
0 1 1
2 2 0
1 2 1
1 1 1
0 2 1
10 3
0 0 2
2 1 1
1 1 0
2 0 1
1 0 0
0 2 2
1 0 2
2 2 0
0 2 1
2 2 2
10 7
5 0 3
2 5 4
4 1 5
5 3 5
4 3 4
1 5 1
2 0 5
0 1 0
1 4 3
5 5 5
10 5
3 1 1
1 5 5
4 4 0
1 2 2
4 5 0
5 0 1
5 3 4
5 5 5
0 5 1
2 0 3
10 6
2 1 1
1 1 1
0 1 2
1 2 2
1 0 2
0 1 1
0 1 0
1 2 0
2 1 0
0 0 2
10 6
0 1 0
1 1 0
1 2 2
1 0 2
2 0 2
0 1 1
2 1 2
2 0 1
1 1 1
0 2 0
10 2
2 2 1
2 1 3
2 1 2
2 0 2
1 3 2
3 3 0
0 1 2
2 1 0
3 2 3
3 0 0
10 2
2 1 2
0 2 2
2 2 2
1 2 1
2 2 1
0 1 0
2 1 0
2 2 0
2 1 1
0 1 1
10 3
3 2 4
2 4 4
2 1 0
1 2 0
0 1 1
1 2 4
4 0 4
3 0 1
1 4 2
1 4 0
10 7
1 1 2
1 5 0
5 1 1
2 4 0
1 4 5
1 1 4
4 0 1
3 1 3
5 0 1
5 4 0
10 9
0 1 2
0 2 1
0 1 3
2 3 2
3 2 1
3 0 2
3 2 3
1 2 0
2 1 3
0 0 2
10 8
0 1 1
1 1 1
3 3 0
3 1 3
0 2 1
2 3 0
2 1 0
2 0 3
1 3 3
0 0 2
10 9
3 1 0
1 0 0
0 2 3
2 0 3
1 3 2
0 0 1
3 2 0
3 3 0
0 3 1
0 3 0
10 6
0 1 5
5 4 4
3 3 5
5 0 5
3 1 0
1 0 0
0 2 4
5 5 2
2 0 3
0 1 0
10 4
2 2 0
1 2 0
1 1 2
2 2 2
1 2 2
1 0 0
2 1 1
0 1 2
0 1 0
2 0 0
10 8
2 0 0
1 0 0
1 2 0
2 2 0
1 1 2
0 2 0
2 2 2
1 2 2
1 2 1
1 0 1
10 3
1 5 5
1 2 0
2 0 3
0 4 3
5 1 3
4 3 2
0 2 0
5 5 2
5 4 1
3 5 0
10 7
1 2 2
0 1 2
0 0 0
1 1 0
1 2 0
1 0 2
0 2 0
0 2 1
2 0 2
2 1 2
10 9
0 3 4
4 4 3
2 1 3
0 3 2
0 1 5
2 2 4
3 1 2
2 5 5
2 4 5
5 0 2
10 5
2 1 5
5 5 2
5 5 5
1 4 3
1 0 0
2 0 2
2 5 1
4 1 2
0 0 1
2 0 1
10 9
5 3 1
0 1 3
1 0 1
0 0 2
0 0 5
2 2 2
1 5 1
5 1 4
2 3 5
3 5 4
10 9
1 4 3
1 0 4
4 4 1
2 4 0
3 3 1
0 4 1
3 1 4
4 4 2
1 1 3
3 1 2
10 5
5 1 1
5 5 4
0 5 3
3 2 2
4 0 1
5 3 5
5 4 1
1 1 0
1 5 5
4 2 2
10 7
2 5 2
1 5 1
2 3 5
0 3 3
1 2 0
2 2 4
3 1 2
5 0 3
2 1 0
4 1 2
10 8
0 5 4
2 0 4
1 0 0
0 2 4
4 2 0
2 2 5
2 5 5
0 3 5
4 0 0
5 4 2
10 6
0 0 0
1 2 2
2 1 1
0 0 2
2 1 2
0 0 1
1 1 1
0 1 1
1 1 2
0 2 2
10 4
2 2 0
2 1 2
2 2 2
1 2 1
1 2 2
0 0 0
0 2 2
0 1 0
2 0 2
2 2 1
10 7
2 4 4
1 0 3
1 0 0
4 3 4
4 2 4
4 0 1
2 0 3
3 1 4
3 4 3
1 0 2
10 6
0 2 0
0 0 2
1 2 2
1 0 1
2 1 0
0 2 2
2 0 1
0 0 0
1 0 2
1 2 0
10 9
0 1 3
3 3 0
1 3 1
1 0 1
0 0 1
0 0 3
2 0 0
1 1 0
2 0 2
3 2 0
10 3
1 0 2
1 2 2
0 2 1
1 1 2
1 2 0
0 0 1
0 2 0
2 0 2
1 0 1
2 1 1
10 8
5 0 2
0 3 4
3 3 0
1 5 1
5 5 0
3 2 0
0 3 0
4 4 4
1 1 3
4 1 4
10 4
0 2 1
2 1 1
0 4 0
4 2 2
2 0 1
2 3 0
4 3 3
0 3 4
1 3 0
1 0 4
10 2
1 2 1
2 1 2
1 1 2
1 0 0
1 1 1
2 1 1
0 0 0
0 2 2
1 1 0
1 0 1
10 6
2 2 2
2 0 1
2 0 2
0 1 2
1 2 0
0 0 2
1 1 1
2 1 0
1 0 1
2 2 1
10 9
3 1 5
0 0 5
1 3 5
3 1 0
4 4 4
0 1 2
0 5 0
1 2 2
4 3 5
3 3 0
10 4
1 3 3
4 0 1
1 4 0
0 1 1
3 3 1
3 2 1
2 0 4
1 0 4
2 0 0
3 0 0
10 5
3 1 3
4 1 0
1 3 4
3 3 3
0 2 1
3 3 0
4 4 3
1 4 0
0 0 2
1 2 4
10 2
1 2 0
1 2 3
3 1 3
3 1 2
3 3 0
2 0 2
0 3 3
3 1 0
2 1 0
0 2 3
10 9
1 3 3
0 0 1
0 0 3
1 1 1
0 0 2
1 1 3
0 2 1
2 3 0
1 3 0
1 2 3
10 5
2 0 3
1 2 0
3 2 0
3 0 3
2 2 0
1 2 3
3 1 3
3 0 1
3 2 2
3 3 0
10 3
2 0 2
2 1 2
1 1 0
1 0 1
2 1 1
2 1 0
2 2 1
0 0 0
0 0 1
0 1 2
10 2
3 0 1
5 1 4
5 0 4
2 1 0
1 0 1
0 1 2
1 5 1
5 5 1
4 4 0
1 4 4
10 9
0 2 2
2 2 0
1 2 1
2 0 2
1 0 0
2 2 2
0 2 1
1 0 2
0 1 2
2 0 1
10 5
0 2 2
0 2 1
2 0 0
0 1 2
2 2 2
1 1 1
0 0 0
2 0 2
2 1 2
1 1 2
10 4
0 2 0
2 1 1
0 0 0
2 2 1
2 1 3
3 3 0
1 2 0
1 3 3
2 3 0
1 2 3
10 8
1 1 3
4 4 1
1 1 4
0 4 2
3 4 4
4 2 0
3 2 4
0 2 2
0 2 4
3 2 1
10 2
2 2 4
1 2 2
3 4 3
0 3 1
3 1 0
1 2 1
5 2 2
3 4 5
1 2 4
1 3 5
10 4
0 0 3
0 1 3
2 1 0
3 3 2
2 0 1
1 2 1
2 0 3
0 2 2
2 0 0
0 0 1
10 9
0 3 1
3 3 3
2 1 1
1 0 1
2 3 2
2 3 3
3 1 2
3 3 0
1 0 3
2 0 2
10 7
1 1 0
2 1 1
0 1 0
0 0 1
1 2 1
0 2 0
2 0 1
1 0 2
1 2 0
2 0 0
10 3
1 0 1
1 2 1
0 1 1
0 2 2
2 1 0
0 0 0
2 0 2
0 2 0
0 1 0
1 2 0
10 3
1 4 1
4 4 3
4 2 4
4 3 3
5 3 3
1 0 3
4 0 4
2 5 5
0 4 4
2 1 0
10 4
1 1 4
2 2 0
3 1 0
2 1 3
2 4 3
2 4 4
3 3 3
2 0 0
0 3 1
4 4 4
10 4
2 2 4
2 4 1
0 1 2
3 1 2
3 4 4
0 2 4
0 3 0
2 2 1
3 1 0
0 1 4
10 4
3 0 0
0 4 4
1 3 1
4 3 4
4 0 4
3 4 0
1 1 2
2 0 4
4 4 3
4 2 3
10 7
2 0 3
0 1 3
1 2 0
2 5 5
3 2 5
0 0 0
4 1 4
5 1 5
5 2 1
2 1 1
10 5
1 2 3
2 2 0
0 1 1
0 3 1
2 3 0
0 0 3
2 1 2
0 2 3
3 3 0
1 3 2
10 2
5 1 2
4 3 0
0 0 4
4 0 5
3 4 1
3 4 4
2 1 5
1 4 1
2 3 1
3 3 4
10 4
3 2 2
3 3 3
2 1 1
0 0 2
1 3 2
0 0 3
1 0 2
1 2 0
1 3 0
2 2 0
10 6
4 4 4
3 4 4
3 3 2
2 0 2
0 0 0
2 1 3
0 2 0
3 3 3
1 1 2
3 1 1
10 4
3 2 3
3 0 2
1 2 0
3 1 1
3 0 3
0 3 1
3 1 2
2 3 0
0 0 0
3 2 1
10 9
0 1 1
4 3 2
3 4 4
0 4 2
1 4 0
3 2 4
3 0 2
4 1 3
3 4 2
4 3 4
10 7
3 3 3
1 1 1
3 0 3
1 1 3
3 1 3
1 0 3
0 2 2
0 2 1
0 2 0
0 2 3
10 9
3 2 0
3 0 2
1 4 2
4 2 3
3 2 1
4 0 2
2 3 0
0 1 2
3 4 2
2 4 2
10 8
2 5 1
2 1 2
0 4 4
0 5 2
2 2 1
0 3 5
4 4 4
1 2 0
4 1 0
3 1 5
10 6
3 3 3
0 3 0
1 2 0
1 1 2
1 3 1
1 0 1
0 2 0
3 2 1
3 0 0
2 3 1
10 4
2 1 2
0 2 2
0 2 0
1 0 1
0 2 1
0 0 0
2 2 1
2 1 0
0 0 1
0 1 1
10 4
4 3 2
4 2 2
3 4 3
4 4 0
3 2 0
2 0 3
4 1 3
1 2 4
3 4 2
1 0 2
10 7
2 1 0
0 2 2
0 1 1
1 2 2
1 0 1
2 1 1
2 1 2
0 1 0
2 2 0
1 1 1
10 6
0 1 2
1 0 2
0 2 1
1 1 0
1 2 0
2 2 1
2 0 0
1 0 1
0 1 1
1 1 2
10 2
2 0 0
2 3 1
1 3 0
1 0 1
3 0 2
0 1 3
1 0 0
3 1 3
3 2 1
2 1 2
10 3
4 3 4
1 1 0
2 1 4
2 2 3
0 2 1
1 2 0
2 4 1
0 3 1
2 3 1
4 0 3
10 4
0 3 3
2 1 0
4 4 5
1 0 3
0 1 2
4 3 2
3 0 0
3 0 4
3 4 3
5 3 5
10 4
2 2 2
2 1 2
2 0 2
2 1 1
1 0 0
0 2 0
0 0 0
0 2 2
1 1 1
2 0 0
10 2
4 0 2
3 2 0
4 0 0
2 0 3
3 1 4
1 4 2
3 0 1
1 2 1
4 1 1
3 1 1
10 2
1 1 3
1 0 2
3 3 2
1 3 2
3 1 0
0 2 2
3 2 0
0 3 0
1 2 1
1 3 0
10 9
0 3 3
2 3 0
3 3 1
1 2 1
3 0 3
1 3 3
0 1 3
0 2 2
1 3 1
3 1 3
10 4
3 2 4
4 1 1
1 1 2
4 3 4
4 4 1
3 4 1
2 2 2
4 4 3
4 0 2
2 1 1
10 2
4 5 5
1 0 1
5 0 4
1 4 2
5 4 2
3 0 5
4 4 0
1 1 1
5 2 4
4 1 1
10 3
3 1 4
1 0 1
3 4 3
0 0 2
3 2 4
0 4 3
2 4 3
0 0 0
1 0 0
1 2 0
10 7
0 4 4
3 2 2
4 2 0
4 1 1
2 4 4
2 4 1
3 1 2
3 4 4
0 4 2
3 4 3
10 4
2 2 1
2 2 2
0 3 1
0 0 4
4 1 2
2 1 2
1 2 3
2 3 4
0 1 4
1 4 0
10 6
1 0 0
1 3 3
3 0 0
0 2 3
2 3 3
1 3 1
2 1 1
1 1 2
1 0 1
0 1 2
10 6
3 0 2
3 0 0
1 2 1
2 1 1
2 3 1
1 1 0
3 3 1
1 2 3
2 0 1
3 1 0
10 2
5 0 4
5 2 1
1 5 4
3 4 3
5 1 1
4 5 3
0 5 2
0 0 3
2 2 3
3 5 2
10 3
0 1 0
1 1 2
0 0 2
1 2 2
0 2 2
0 1 2
0 2 1
0 2 0
1 0 2
2 2 1
10 8
3 4 1
2 3 4
3 1 2
3 2 2
1 2 4
2 4 4
0 1 2
2 0 4
3 2 0
0 0 0
10 2
1 1 0
1 0 0
2 0 1
0 1 2
0 2 0
0 1 1
2 1 0
0 2 1
1 2 0
0 2 2
10 4
2 3 0
3 3 2
1 0 1
3 0 2
2 3 2
0 3 2
3 2 2
0 1 0
1 0 3
1 1 2
10 5
1 0 4
4 3 1
3 4 3
4 1 2
0 3 0
0 0 4
4 3 2
0 2 0
1 0 2
2 2 0
10 8
0 2 2
2 1 0
1 1 2
1 0 2
0 0 2
0 1 1
2 2 2
0 2 1
1 1 0
2 2 0
10 2
5 0 2
4 0 1
1 5 2
1 1 3
2 3 3
1 0 1
4 2 4
3 0 4
3 4 2
3 3 1
10 8
5 1 2
4 0 1
5 4 4
4 2 2
0 2 3
0 4 2
0 4 4
5 4 5
5 3 5
4 0 3
10 5
0 0 2
1 3 3
3 2 3
1 2 1
0 1 1
2 0 2
1 2 2
2 2 3
3 3 0
0 0 1
10 9
0 4 5
1 1 1
5 0 2
4 0 1
2 2 0
3 4 4
1 5 5
2 2 2
5 0 5
0 4 0
10 7
2 4 2
4 4 4
1 5 1
0 0 4
3 4 4
4 4 2
0 5 1
1 2 0
1 4 3
1 1 2
10 6
2 1 4
0 1 2
3 0 1
1 3 4
1 1 3
4 1 1
4 0 3
3 2 1
0 1 3
1 4 1
10 3
1 0 2
2 1 1
0 0 1
2 2 0
1 1 1
0 1 0
2 1 2
2 0 0
0 2 2
1 2 0
10 6
3 3 3
3 0 5
3 2 0
1 5 3
0 0 5
1 0 1
0 1 1
4 1 3
0 4 0
5 1 0
10 6
1 2 1
0 1 2
0 0 0
2 1 0
0 0 2
2 1 2
2 0 0
2 2 2
0 2 1
1 2 0
10 9
1 5 5
0 4 5
0 4 2
5 5 0
5 2 2
2 0 2
0 5 3
5 3 1
2 1 0
3 0 3
10 4
0 1 1
0 1 2
2 1 3
1 1 1
0 0 0
1 3 0
0 3 1
0 2 2
2 0 2
0 1 3
10 7
1 1 0
2 1 0
2 0 0
0 1 2
2 0 1
2 2 1
0 1 0
1 2 2
2 2 2
0 0 0
10 6
3 2 2
0 1 2
0 3 3
3 2 1
0 0 3
3 0 2
0 3 2
1 1 1
1 3 0
2 1 1
10 3
3 2 5
1 3 3
1 0 3
3 5 4
4 1 1
2 5 0
2 0 1
1 3 5
3 5 1
2 3 0
10 9
0 0 4
1 0 1
1 3 4
1 5 2
4 3 5
4 4 5
4 4 0
0 2 5
0 1 5
4 0 1
10 6
2 2 1
1 2 0
2 0 2
0 0 1
1 2 1
1 0 1
2 1 1
0 1 1
0 1 2
0 0 2
10 6
0 5 2
1 3 5
5 2 3
4 0 0
3 3 0
0 5 3
2 1 1
4 0 2
4 3 4
0 2 5
10 6
1 1 1
0 0 0
2 0 2
2 1 0
0 1 1
0 0 2
1 2 2
2 2 2
2 2 1
1 0 0
10 9
0 1 2
0 1 0
0 2 2
2 2 0
2 1 0
2 0 1
2 2 1
1 1 0
1 2 2
0 2 1
10 7
1 3 3
2 3 3
3 0 0
0 0 1
2 0 2
2 0 3
1 0 3
1 2 2
3 3 2
1 1 3
10 8
0 2 1
1 0 2
2 2 2
2 1 0
0 1 1
1 0 0
0 0 2
2 1 1
1 0 1
1 2 2
10 4
3 4 2
5 1 5
0 0 0
0 4 4
4 5 3
4 2 4
0 4 5
1 3 4
2 1 1
4 0 1
10 5
2 0 3
0 3 0
0 3 3
1 1 0
2 2 3
3 0 2
2 0 1
2 0 0
2 1 0
3 2 1
10 3
0 1 2
0 0 1
0 1 1
0 2 1
1 2 2
1 0 2
2 0 1
0 0 0
2 1 0
2 2 1
10 5
1 5 3
3 3 3
2 1 5
5 5 3
1 4 2
4 2 5
0 0 3
4 4 2
3 2 4
5 0 5
10 9
2 3 0
1 3 0
3 3 2
3 3 1
3 2 3
1 0 3
1 1 1
1 0 0
2 1 3
1 2 3
10 2
1 3 3
0 3 5
4 2 0
1 2 1
2 1 4
1 2 4
4 0 2
4 4 3
0 4 1
1 1 2
10 5
1 2 1
2 1 3
5 5 3
4 3 3
4 1 1
0 4 0
1 3 3
3 0 1
3 4 3
1 1 5
10 4
0 1 4
0 4 5
2 3 3
3 0 3
3 2 2
4 3 5
0 0 2
1 4 4
0 3 5
2 3 5
10 7
4 1 1
2 1 2
0 1 4
0 2 3
0 3 0
3 4 5
4 3 0
4 3 2
1 5 4
3 2 4
10 3
1 1 4
4 0 0
0 0 2
4 1 0
3 2 1
4 2 4
3 2 2
2 3 0
0 3 0
4 4 4
10 6
2 0 1
1 0 0
1 1 0
2 1 2
0 0 2
2 2 2
0 2 0
1 2 1
1 2 0
2 2 1
10 7
1 4 2
3 4 4
4 3 4
2 0 1
4 1 1
1 4 0
4 3 0
2 0 0
0 3 3
0 4 4
10 9
4 4 2
2 1 1
0 2 2
1 3 3
5 5 4
3 1 5
0 1 5
0 1 2
4 2 0
5 2 0
10 9
0 0 2
0 2 3
2 1 1
1 1 3
0 0 0
2 0 3
2 2 1
2 0 1
1 3 1
0 3 2
10 4
1 0 2
2 1 2
2 0 2
1 1 0
0 0 2
1 1 2
1 1 1
2 2 0
2 0 0
1 0 1
10 7
1 3 2
3 2 2
2 3 2
0 1 2
2 0 2
3 1 2
1 3 0
0 2 2
0 0 3
2 1 1
10 5
2 3 2
1 1 0
2 3 4
2 1 1
4 2 0
5 3 1
0 5 5
3 2 2
2 0 3
1 4 3
10 5
4 3 3
4 5 4
3 0 5
0 5 1
2 4 3
5 5 3
1 4 5
3 0 4
3 4 4
2 5 2
10 5
1 0 2
3 4 2
0 3 2
2 3 0
1 1 3
1 4 1
2 3 3
2 1 3
0 4 4
1 4 2
10 3
0 3 3
2 3 3
0 0 4
3 4 0
3 1 2
0 3 4
4 4 2
1 3 4
0 2 1
3 3 1
10 4
4 4 2
2 4 4
5 3 0
1 3 4
1 2 4
3 0 0
0 3 1
0 5 3
2 4 5
1 0 1
10 2
2 1 1
0 1 0
3 1 0
2 3 1
0 1 3
0 2 2
1 1 0
2 2 1
1 2 3
1 2 0
10 5
3 3 0
4 1 2
0 2 4
1 0 2
2 1 2
0 3 0
2 2 2
0 0 1
2 3 0
1 0 0
10 5
4 3 2
1 4 4
1 3 4
2 0 1
2 4 0
3 4 0
2 3 1
4 2 1
4 4 0
3 4 3
10 3
3 0 0
3 0 2
4 3 3
1 0 0
3 4 4
4 2 4
1 3 2
2 3 1
4 1 4
0 1 3
10 4
3 2 3
3 1 0
1 3 2
0 0 2
1 3 0
2 3 2
1 2 2
1 1 3
2 3 1
1 0 3
10 7
0 1 2
5 4 1
0 4 0
3 2 3
5 5 1
0 4 4
5 2 2
2 2 3
5 0 2
2 0 5
10 2
1 3 4
1 1 0
3 0 3
2 3 0
1 3 0
4 0 0
0 4 0
4 2 3
4 1 2
2 4 2
10 9
0 0 1
2 1 3
3 1 4
4 1 2
1 4 1
4 4 4
2 4 2
2 4 0
2 0 4
4 1 3
10 8
2 0 1
4 0 2
2 4 4
1 4 0
5 3 5
1 1 5
1 1 0
4 1 2
3 2 3
5 0 2
10 2
0 1 1
3 1 2
1 4 3
1 3 4
2 1 3
3 1 0
4 1 0
3 0 4
0 2 2
4 3 4
10 9
3 4 1
3 3 1
0 4 0
0 3 2
2 1 1
4 2 1
3 4 0
4 3 0
3 0 0
4 0 1
10 4
3 1 3
3 1 2
4 2 3
3 1 1
2 0 2
1 0 1
2 2 4
3 4 4
1 3 0
2 2 1
10 7
3 4 2
0 1 4
1 3 4
1 4 0
4 0 4
1 3 2
3 2 1
2 0 2
3 1 1
4 0 2
10 2
2 1 2
1 3 0
3 0 2
1 0 2
1 1 0
3 2 3
3 0 1
0 1 0
0 1 3
2 0 2
10 5
1 5 0
2 3 0
1 0 4
4 0 2
5 2 0
4 5 4
4 4 0
1 1 3
1 2 5
2 4 4
10 3
3 3 3
2 1 2
1 2 4
1 2 2
2 2 0
2 4 2
2 2 1
0 3 2
2 0 3
3 4 1
10 8
2 0 4
4 0 2
0 0 1
3 2 0
3 2 4
0 3 2
2 4 4
0 4 4
3 3 0
3 0 3
10 7
0 2 2
0 1 1
2 1 2
1 0 1
2 0 0
2 0 1
1 0 0
2 2 1
1 1 1
1 1 2
10 9
1 1 2
1 1 1
0 2 0
2 1 2
2 0 1
0 2 1
1 2 0
2 0 2
1 0 2
0 0 2
10 6
3 5 2
3 4 3
0 4 0
0 1 0
2 5 4
3 1 2
1 1 2
1 5 5
1 1 0
1 5 1
10 2
0 1 1
0 1 3
4 5 5
4 1 3
5 0 4
5 3 2
5 3 1
3 2 1
2 5 1
5 2 5
10 8
0 1 2
0 1 0
2 2 0
3 2 1
3 2 0
0 3 0
3 2 2
1 3 3
0 3 2
1 3 0
10 3
2 0 0
1 1 1
2 1 2
1 2 2
2 0 1
0 2 2
1 0 2
2 1 1
2 0 2
2 2 2
10 2
0 0 0
0 4 3
3 1 2
2 0 0
2 4 4
3 4 1
3 2 1
0 3 1
4 0 1
4 0 3
10 7
2 4 4
4 3 0
1 2 3
4 1 3
2 1 1
0 4 2
0 4 0
2 3 4
1 2 1
3 4 3
10 7
4 1 2
1 1 0
0 4 3
0 3 0
0 2 0
5 4 2
0 1 1
2 3 4
0 0 5
3 2 4
10 3
3 0 4
3 1 1
2 3 0
4 4 4
3 4 2
0 4 1
4 2 1
1 1 2
3 3 3
3 2 1
10 6
2 1 0
2 1 1
0 0 1
1 2 0
1 0 1
2 0 0
1 1 0
1 1 2
0 2 0
0 1 0
10 4
4 5 0
3 0 0
4 0 5
5 4 5
2 5 2
3 2 5
0 1 3
1 0 4
0 4 3
3 3 1
10 9
0 3 3
1 0 0
0 2 1
3 1 3
1 1 3
2 2 2
1 3 0
3 2 0
2 0 3
1 2 3
10 8
3 0 2
3 1 0
3 2 0
3 2 1
0 3 0
1 2 1
1 0 2
3 0 3
3 3 3
2 3 2
10 7
4 1 4
0 2 1
2 0 1
2 3 0
1 4 4
0 3 3
2 4 3
0 3 0
1 1 0
2 0 3
10 6
0 3 1
2 0 1
3 2 1
2 0 2
3 0 1
0 3 2
3 3 0
3 3 2
1 2 0
2 1 1
10 8
2 3 0
1 3 1
3 3 1
0 1 0
1 2 0
2 3 3
1 1 2
3 2 2
2 1 2
2 2 1
10 7
1 1 0
2 3 0
1 1 1
3 0 0
1 1 3
2 2 0
3 1 0
2 2 1
3 0 1
1 2 1
10 5
1 1 2
3 4 0
4 3 3
1 0 0
4 4 3
4 0 4
4 0 0
3 0 3
4 1 3
0 1 3
10 6
1 0 3
1 0 4
2 4 3
3 4 3
3 1 4
4 2 2
1 1 0
0 4 2
2 0 1
3 1 3
10 2
4 4 1
3 2 4
4 0 0
2 3 3
0 0 3
0 3 3
2 2 3
3 2 1
0 1 2
2 1 2
10 9
2 2 2
1 2 2
0 2 1
0 0 0
0 2 0
2 2 0
1 1 2
2 2 1
1 1 1
1 0 2
10 9
0 1 2
1 0 0
1 1 0
1 1 2
2 1 2
2 2 0
2 1 0
0 2 2
2 0 1
0 1 1
10 9
2 0 1
1 4 3
3 4 1
4 4 2
4 2 0
1 0 3
1 1 4
4 3 4
0 0 2
0 3 0
10 7
0 3 1
1 3 1
3 4 2
3 2 0
2 1 2
2 0 4
2 3 4
4 0 3
1 0 1
3 3 4
10 7
1 3 2
0 1 3
3 4 0
2 3 1
3 4 1
0 2 4
0 0 0
0 2 2
2 3 0
0 3 3
10 3
2 0 1
0 0 0
2 2 0
2 0 2
1 1 1
0 0 2
1 0 0
1 0 1
0 2 2
2 2 2
10 9
4 3 2
2 2 2
0 3 1
1 3 1
0 4 4
2 0 3
1 2 0
1 0 2
3 3 2
0 4 0
10 3
0 1 3
0 0 3
0 3 3
3 0 2
2 0 1
2 1 2
2 3 1
3 1 1
1 0 3
2 2 3
10 9
0 4 3
0 4 5
4 4 5
4 2 3
4 4 2
2 4 5
5 1 5
0 0 3
5 2 1
5 0 4
10 3
1 2 3
1 1 1
2 1 1
1 0 3
2 2 0
2 0 0
2 3 2
0 1 2
3 2 2
3 1 3
10 3
0 3 2
0 2 1
3 2 2
3 0 3
1 2 3
2 2 0
3 3 1
1 3 1
3 1 0
2 0 1
10 8
4 0 1
0 4 1
3 2 1
4 3 4
4 3 2
2 3 4
2 3 0
4 4 1
2 0 1
1 2 1
10 6
1 2 1
0 2 0
0 1 1
0 1 2
2 0 0
2 2 0
1 2 0
1 0 1
2 2 1
0 0 2
10 3
0 0 0
5 0 1
1 5 1
4 1 4
4 4 3
4 0 4
0 0 1
2 1 1
1 1 0
4 0 2
10 6
0 2 3
0 1 3
0 1 0
1 1 3
0 3 3
3 3 3
0 1 2
1 2 2
1 3 3
2 0 1
10 6
0 0 0
0 1 0
1 0 3
3 3 1
1 3 1
3 2 5
3 3 4
5 1 2
4 3 2
4 1 3
10 4
1 1 2
1 1 0
2 1 2
1 2 2
1 2 1
1 0 1
2 0 2
0 0 0
0 1 2
0 1 1
10 5
5 0 1
3 0 0
0 3 5
1 1 1
2 4 2
3 2 3
5 5 3
3 3 0
5 2 0
1 5 1
10 3
3 2 0
2 0 0
1 4 0
0 3 1
2 3 4
4 3 1
3 4 4
0 0 2
0 0 4
4 0 4
10 7
0 2 4
2 3 2
2 2 2
4 1 1
0 0 1
0 4 3
4 1 4
2 3 4
0 2 3
1 2 0
10 7
0 2 2
2 0 0
2 2 0
2 0 2
0 1 1
0 2 0
0 1 0
1 0 0
1 2 2
2 2 2
10 3
0 1 0
1 4 5
3 5 1
2 1 0
4 2 0
5 1 2
5 3 0
4 5 5
4 3 1
2 2 2
10 9
1 0 4
4 0 5
1 5 1
5 1 4
3 0 2
4 0 4
4 1 4
0 5 0
2 5 0
0 1 3
10 8
1 2 0
0 1 1
0 0 0
1 0 2
0 0 2
2 1 2
0 0 1
1 2 1
0 2 1
1 0 1
10 9
1 5 5
2 5 5
0 1 5
1 4 3
0 5 0
1 4 2
1 2 5
2 2 5
1 2 3
1 3 5
10 8
2 2 2
0 1 1
0 1 0
0 0 2
2 1 0
1 1 2
2 0 2
1 0 1
0 0 1
1 2 2
10 2
0 0 1
2 2 2
0 0 2
0 1 0
0 2 0
2 0 1
0 2 1
1 2 1
1 1 2
1 1 1
10 8
0 0 2
2 2 2
1 1 2
0 2 0
0 1 1
1 1 0
2 2 1
1 2 2
2 1 1
2 0 1
10 5
4 4 2
0 4 4
4 3 0
3 3 4
0 2 1
3 1 2
3 2 1
0 3 4
2 0 2
0 1 3
10 2
0 3 1
4 3 3
4 3 5
4 0 1
0 2 3
4 1 0
3 4 4
5 3 0
3 0 1
5 1 4
10 5
5 0 2
3 1 3
0 5 2
4 0 0
0 3 1
3 1 1
5 2 4
3 3 0
5 3 5
3 5 5
10 5
2 1 1
0 2 2
0 0 0
0 0 2
1 1 2
0 2 1
0 1 2
2 2 2
2 1 2
2 2 0
10 5
1 2 2
1 0 2
0 0 1
2 2 1
2 0 2
2 1 0
1 2 0
1 0 1
1 1 2
0 2 0
10 7
0 3 0
1 4 4
0 0 0
2 5 5
5 4 5
4 1 2
5 0 2
2 0 1
0 3 3
3 3 1
10 8
3 1 2
2 0 0
0 1 2
1 3 2
2 3 3
2 2 0
0 1 1
2 2 2
0 0 1
1 0 1
10 3
2 1 2
4 3 2
1 4 2
3 0 0
2 2 0
2 4 1
1 0 3
1 1 4
0 3 3
2 1 1
10 5
2 2 1
1 0 2
2 1 0
0 0 2
1 2 0
2 0 2
0 2 2
0 0 1
1 1 2
0 1 2
10 5
0 0 2
3 3 2
1 0 1
0 2 2
3 1 1
1 3 1
2 3 2
2 2 2
3 0 0
0 2 3
10 3
2 2 0
0 1 0
1 1 2
2 0 2
2 0 1
0 2 1
2 1 0
0 0 0
1 0 1
1 1 1
10 5
2 0 0
2 1 1
0 1 0
0 2 1
0 0 0
1 1 0
0 0 1
1 1 1
0 1 1
2 1 2
10 5
1 3 1
3 1 2
2 0 3
0 3 1
1 2 0
0 0 2
3 0 1
2 2 1
3 2 1
3 1 0
10 6
0 0 1
2 2 0
1 1 0
2 1 0
1 0 2
2 0 0
1 1 1
1 1 2
2 2 2
1 0 1
10 4
1 1 4
2 1 4
2 1 3
3 1 1
1 3 0
3 0 2
4 3 4
0 0 4
4 0 0
0 1 3
10 4
2 2 0
1 2 1
1 0 0
0 1 2
2 2 2
2 0 0
2 2 1
2 0 1
0 2 2
2 1 0
10 2
4 0 4
4 2 2
3 3 4
1 4 0
3 2 3
3 0 2
3 2 2
2 1 4
2 2 2
1 2 0
10 9
0 0 0
0 0 4
0 4 1
2 3 3
4 1 2
0 1 2
0 0 2
1 0 4
4 2 4
0 1 0
10 5
2 3 2
3 1 1
0 0 2
3 3 2
3 2 3
2 3 1
3 0 2
0 3 2
3 3 0
3 0 1
10 4
3 1 2
0 0 0
2 1 1
1 1 2
0 2 1
0 0 2
3 0 1
2 0 2
0 3 3
0 1 3
10 4
0 0 0
0 1 2
0 1 1
2 1 0
2 2 1
1 2 0
1 0 1
1 0 2
0 2 0
1 0 0
10 8
2 0 3
3 2 2
2 1 0
3 1 1
1 0 1
1 3 2
2 3 1
2 1 2
0 2 2
0 0 2
10 6
0 2 3
1 5 3
0 2 5
0 2 1
3 4 4
2 1 3
5 1 4
0 5 5
0 4 3
3 1 0
10 4
2 0 0
0 4 1
0 4 2
2 0 2
4 3 0
1 1 4
1 2 0
4 2 1
0 2 2
2 0 3
10 8
0 3 0
1 2 2
0 1 0
2 1 0
3 0 2
3 2 3
2 2 3
0 2 0
1 1 0
2 2 2
10 7
0 0 0
2 2 1
1 0 2
1 2 1
2 0 0
0 1 2
1 1 2
1 2 2
0 1 0
1 1 0
10 2
2 5 5
5 0 1
3 0 3
0 0 0
4 3 0
5 4 0
2 2 1
5 5 2
1 3 5
3 4 5
10 6
2 0 4
1 3 2
3 2 4
1 3 3
4 4 0
1 0 2
0 1 4
3 4 0
1 4 1
1 4 2
10 6
2 1 2
0 2 2
1 0 2
2 0 1
1 1 0
1 1 2
1 2 2
1 0 1
2 2 2
2 1 1
10 4
1 0 1
0 0 2
2 2 2
1 2 2
1 1 0
0 2 0
2 1 1
1 2 1
0 0 0
0 1 1
10 6
3 1 1
0 0 2
2 0 2
3 2 3
2 3 3
0 3 3
3 3 2
1 3 1
3 0 2
0 0 3
10 5
3 0 2
3 0 0
0 0 0
2 2 3
2 1 2
3 0 3
1 3 2
1 1 2
1 3 1
2 3 3
10 4
1 1 2
4 3 1
2 0 3
1 0 0
1 0 1
2 1 3
0 0 3
3 2 1
0 3 4
2 4 3
10 4
1 0 2
1 2 0
0 0 1
1 0 0
1 2 2
0 2 1
1 1 0
1 0 1
0 0 0
0 2 2
10 6
2 1 2
3 1 3
2 2 2
1 3 1
2 1 1
1 2 3
0 3 0
1 2 0
0 2 0
2 3 0
10 4
2 2 0
1 0 2
2 1 1
1 1 0
2 0 0
1 2 0
0 2 1
2 1 0
1 1 2
0 0 0
10 4
1 1 2
0 2 2
3 0 0
2 0 3
3 1 2
3 0 2
0 1 3
1 0 2
3 3 1
2 2 2
10 5
2 0 0
1 1 1
0 2 2
0 1 1
2 1 2
1 2 2
0 2 1
0 2 0
1 2 1
2 1 1
10 4
4 3 1
2 3 2
3 1 4
4 2 3
4 0 4
1 1 3
4 2 2
0 4 0
1 0 4
1 3 3
10 2
0 2 1
2 2 1
0 0 0
1 2 1
0 1 0
2 0 1
0 0 1
1 0 2
1 1 1
0 0 2
10 8
4 0 0
3 2 0
2 0 1
4 4 0
0 1 0
4 2 1
2 1 1
3 3 1
0 1 1
2 0 4
10 7
2 2 0
0 2 0
1 1 1
2 3 2
2 3 0
0 1 3
0 0 2
1 2 2
1 1 0
3 0 1
10 4
5 5 5
5 2 0
3 5 4
0 4 5
0 0 0
1 2 0
1 4 4
4 5 3
3 1 4
2 0 1
10 5
1 1 4
4 1 1
2 3 3
0 0 2
1 0 1
0 2 2
0 4 3
0 4 0
1 2 0
3 0 2
10 7
0 0 1
1 2 1
2 0 1
1 0 2
0 2 0
1 0 1
2 2 1
1 1 0
0 0 0
2 0 0
10 5
5 1 0
0 0 5
3 0 2
1 3 4
0 5 2
3 4 3
3 4 4
5 2 3
0 0 0
4 1 2
10 3
5 3 4
4 4 1
1 5 2
3 0 3
0 0 1
1 0 0
4 3 5
4 1 5
4 3 2
1 1 1
10 6
1 0 1
1 4 1
3 0 4
4 3 1
0 1 2
2 3 2
4 2 2
2 0 0
1 0 3
1 2 4
10 7
0 2 3
0 4 4
0 4 1
3 0 3
3 0 1
2 0 0
4 1 1
0 0 3
1 2 1
1 0 4
10 6
1 4 3
2 0 0
3 0 0
3 2 3
3 1 3
3 3 2
4 3 3
1 3 4
2 0 4
0 4 4
10 5
0 2 2
1 1 2
2 1 1
2 1 2
1 1 0
0 0 0
2 1 0
1 2 1
2 0 2
0 2 1
10 5
1 2 1
2 0 0
0 1 2
2 1 0
2 2 2
2 0 1
2 0 2
1 0 2
2 2 1
0 1 0
10 5
2 0 0
2 1 0
0 1 0
0 0 2
2 0 2
0 2 0
2 1 2
2 1 1
1 2 1
1 0 2
10 4
2 3 3
2 2 1
4 1 3
0 1 0
0 2 4
2 2 2
3 0 3
1 2 2
4 4 4
4 0 4
10 5
0 3 3
0 0 0
2 2 2
2 1 2
0 1 0
3 1 0
2 3 3
1 2 2
0 2 1
0 2 0
10 5
2 2 0
1 3 0
1 0 2
2 3 0
3 0 3
4 2 0
4 4 2
4 0 0
1 1 4
3 2 3
10 6
0 0 0
0 0 1
2 1 1
2 2 1
2 0 2
1 1 2
2 2 2
1 1 0
0 1 0
1 0 0
10 2
0 2 2
1 3 0
2 2 0
2 2 1
0 3 1
1 1 3
3 2 1
1 3 3
2 0 0
0 0 1
10 3
5 1 1
3 1 1
2 0 5
0 2 3
5 5 5
4 1 1
0 0 2
1 2 4
0 4 1
5 1 0
10 4
1 4 1
3 0 4
4 4 1
1 3 0
2 0 1
0 4 0
3 3 2
4 0 3
3 4 0
2 3 3
10 3
1 3 4
2 2 4
1 0 0
2 1 4
2 2 3
4 1 1
3 3 2
1 3 1
0 1 1
1 4 3
10 8
3 3 2
2 2 4
1 4 2
0 1 1
1 2 1
4 0 3
3 2 1
4 2 0
3 1 3
3 4 3
10 9
0 0 2
1 1 0
2 1 2
1 0 0
2 2 1
1 2 2
0 2 2
1 0 1
1 0 2
1 2 1
10 3
3 1 0
1 4 2
2 5 4
4 4 3
0 1 4
0 2 4
3 1 4
5 4 5
0 3 3
5 3 5
10 8
0 4 2
1 4 3
1 3 3
1 0 2
1 1 3
3 3 4
2 0 4
2 1 4
4 2 2
3 4 0
10 6
2 2 1
1 0 3
3 2 0
3 2 3
0 1 3
1 3 2
1 0 0
0 1 0
3 1 0
0 0 0
10 2
1 0 1
1 2 0
0 0 2
0 2 0
1 0 0
0 1 2
2 2 2
2 1 2
0 2 2
1 2 1
10 7
1 2 2
0 4 4
0 3 1
0 2 3
1 3 3
4 1 4
3 3 0
4 4 2
4 2 4
2 3 4
10 7
1 3 3
0 0 0
2 0 1
1 3 1
2 0 3
3 1 2
2 2 3
1 0 3
3 1 1
1 3 2
10 3
0 0 0
2 1 2
1 0 1
2 1 0
1 2 2
1 1 0
1 0 0
1 1 2
2 2 2
0 1 1
10 8
2 1 3
2 4 0
2 3 3
1 0 0
4 1 3
1 2 2
1 3 0
3 4 4
0 2 4
1 2 1
10 4
4 1 3
3 1 1
5 2 3
0 2 5
5 3 2
4 5 2
3 2 2
4 1 2
0 1 2
1 4 2
10 7
4 5 0
0 5 5
5 4 0
4 4 4
3 1 1
4 4 5
4 2 5
0 3 1
4 4 1
1 0 3
10 2
0 2 2
1 1 2
4 2 2
0 4 2
2 4 3
4 1 2
2 3 4
4 3 1
3 2 4
1 4 0
10 2
3 5 5
2 4 4
0 3 4
3 0 1
5 1 4
5 5 0
3 4 1
0 1 5
2 2 5
1 0 3
10 6
4 3 4
4 2 2
4 4 1
3 3 3
0 3 2
2 0 0
0 0 4
1 0 2
1 0 1
3 3 2
10 5
4 3 2
1 3 5
2 0 5
3 1 5
1 4 3
3 1 4
1 5 2
3 1 3
2 5 3
5 2 5
10 2
0 3 1
0 0 1
0 2 2
1 3 2
2 1 1
1 2 1
3 0 2
3 2 0
2 3 1
0 0 0
10 2
0 2 2
0 2 1
0 1 0
0 1 2
2 0 1
1 0 2
2 2 2
0 0 1
2 2 1
1 2 2
10 8
4 0 1
3 4 5
3 4 3
4 1 1
2 2 1
1 5 1
2 5 2
0 4 0
0 2 0
4 2 0
10 5
2 2 2
1 1 1
2 0 2
2 1 2
2 0 0
1 1 0
0 2 0
1 1 2
0 2 2
2 0 1
10 3
1 3 3
1 2 2
1 1 0
2 2 2
3 3 1
3 2 2
0 2 3
3 2 3
1 1 3
2 3 0
10 2
2 0 3
3 1 2
3 0 3
4 2 2
3 2 4
2 3 2
1 0 2
3 2 0
4 1 0
0 1 4
10 4
2 1 3
2 2 3
3 0 1
2 2 0
0 0 1
1 1 3
1 0 2
0 3 0
2 0 0
3 1 2
10 8
3 0 1
0 3 2
0 1 1
1 0 3
1 0 0
3 1 2
0 2 1
0 3 3
1 3 2
0 1 0
10 5
3 2 0
2 1 3
1 0 0
3 1 3
0 3 0
2 0 3
0 2 2
0 1 0
0 3 3
1 1 1
10 4
3 0 4
4 2 3
2 0 4
1 4 1
1 1 3
3 3 4
1 1 2
0 2 3
3 1 1
1 2 1
10 5
2 2 2
0 0 1
1 2 2
1 0 2
1 1 1
2 0 2
1 2 0
1 2 1
0 0 0
2 1 1
10 3
4 3 0
0 1 1
5 3 4
2 1 0
2 2 4
3 0 0
1 1 3
1 4 0
1 1 4
3 3 5
10 8
1 1 0
2 2 1
1 2 1
2 0 1
2 1 1
0 2 2
0 1 0
0 1 1
0 0 1
2 0 0
10 7
3 1 2
5 2 1
4 5 5
0 1 0
4 5 3
5 4 2
2 2 2
1 0 1
4 3 1
0 3 2
10 2
5 0 5
3 2 3
3 4 1
3 1 5
0 3 0
1 5 0
3 3 0
0 0 3
5 2 2
3 1 0
10 4
1 1 0
1 4 3
1 3 1
4 3 2
4 2 3
2 1 0
4 0 0
0 3 2
4 4 3
0 2 2
10 6
0 1 2
1 0 1
2 1 0
2 0 2
0 0 1
2 1 1
2 2 1
2 2 2
1 2 0
1 1 1
10 3
2 1 4
2 2 0
1 3 1
5 1 3
5 4 2
0 0 4
0 2 0
4 0 4
1 5 2
0 4 1
10 7
1 1 1
0 2 0
2 0 0
2 0 1
0 2 1
1 1 0
1 0 2
0 1 0
2 1 1
0 0 0
10 8
2 0 2
1 1 1
0 2 0
0 1 0
1 1 0
0 0 1
0 0 0
0 2 1
1 2 0
1 1 2
10 9
2 0 0
2 2 5
4 0 0
0 1 5
0 1 0
3 5 4
4 4 1
2 5 2
4 5 1
2 5 5
10 9
0 2 0
1 2 2
1 0 0
2 2 1
2 0 2
0 0 2
0 0 1
0 1 1
1 0 1
1 1 2
10 3
4 4 1
3 4 1
2 2 0
1 0 1
0 3 3
1 2 4
1 1 2
2 4 2
1 2 0
3 4 2
10 8
4 4 1
0 1 2
4 1 4
1 1 4
0 2 1
2 0 2
3 2 4
3 0 4
4 3 1
3 1 3
10 9
0 1 4
3 3 4
2 1 2
0 4 0
1 0 0
1 1 2
3 4 2
1 2 2
4 3 2
2 1 1
10 7
0 0 1
3 1 1
2 2 3
0 3 2
2 0 1
1 3 3
2 1 3
2 3 2
2 3 3
1 2 2
10 5
0 0 2
2 0 2
0 1 2
0 2 1
2 2 2
1 1 1
0 0 0
2 1 2
2 2 1
1 0 2
10 6
0 1 2
1 0 2
0 0 1
0 1 0
2 1 1
0 0 0
1 2 2
1 1 0
0 2 1
1 0 1
10 5
0 1 0
1 3 0
2 0 1
0 0 1
3 2 0
0 1 2
2 1 0
3 2 3
0 1 1
2 3 1
10 3
0 3 4
4 4 3
0 2 5
1 4 0
4 2 4
5 0 2
1 0 5
5 3 2
5 3 0
4 1 5
10 5
0 1 1
4 0 2
1 4 4
5 2 1
0 1 5
1 5 2
2 1 2
4 0 5
0 4 5
5 0 2
10 5
2 0 0
1 2 0
1 3 1
0 1 0
0 0 2
1 1 0
1 1 3
3 2 1
0 2 2
0 2 3
10 6
2 2 1
0 1 0
1 2 2
1 0 0
2 1 2
2 0 2
0 2 2
2 2 0
0 1 1
1 1 2
10 3
1 2 1
2 0 1
1 2 2
0 1 1
1 0 1
1 0 0
1 1 1
1 1 2
0 0 0
2 1 0
10 2
3 1 3
0 1 2
4 4 0
4 4 3
0 1 1
4 3 1
1 0 3
2 0 2
0 3 2
2 4 4
10 8
0 3 1
5 2 5
5 4 5
0 0 2
1 0 1
3 0 5
0 0 5
4 1 4
1 3 1
4 5 2
10 7
2 2 3
0 3 1
0 0 1
3 0 1
3 2 3
2 0 2
3 3 0
0 3 3
2 3 0
3 1 1
10 5
4 1 1
4 0 4
3 0 1
3 3 1
1 5 0
1 1 0
1 2 5
5 3 1
1 4 2
4 1 3
10 9
1 0 2
2 1 3
1 1 3
1 1 2
2 3 0
2 2 1
3 3 0
2 0 3
3 2 1
0 2 0
10 9
0 0 2
2 1 2
0 0 1
0 2 0
2 0 2
0 2 2
0 0 0
1 0 1
1 2 2
1 0 2
10 2
0 1 2
0 2 1
0 0 2
2 2 2
1 2 2
2 0 1
1 1 0
0 1 1
2 0 0
2 1 1
10 3
0 0 0
1 0 1
1 1 2
1 1 1
1 2 0
2 1 2
0 0 2
2 1 0
2 0 2
0 2 2
10 3
5 2 0
1 2 1
0 1 4
2 1 3
0 2 5
2 3 0
4 1 5
2 0 0
2 2 2
5 0 3
10 9
0 5 2
5 4 3
5 2 0
3 1 5
2 3 4
0 2 0
4 1 1
4 3 2
4 1 0
0 4 4
10 8
0 2 0
1 0 1
2 0 0
1 0 0
1 2 1
0 1 0
1 2 0
1 0 2
0 0 0
2 0 1
10 7
3 3 4
2 0 4
0 1 3
3 3 2
4 2 1
1 4 1
0 4 0
3 2 0
2 4 2
4 1 0
10 8
3 3 2
2 0 1
2 3 1
3 0 2
2 0 0
2 2 3
1 0 3
3 3 0
0 3 1
3 1 0
10 3
2 3 0
1 0 1
2 1 2
0 2 0
3 2 2
2 0 0
2 3 1
1 1 0
2 0 1
2 0 3
10 2
5 2 1
5 1 5
1 5 0
5 0 0
3 4 3
2 5 0
1 2 0
1 1 4
3 2 0
2 1 1
10 9
0 2 2
0 1 0
2 2 1
0 2 0
2 1 2
1 2 2
2 0 1
2 0 0
2 1 1
2 2 0
10 9
5 5 0
2 1 3
4 0 3
2 4 4
0 0 3
3 5 3
1 5 2
0 3 5
3 3 5
1 5 4
10 2
0 1 2
1 0 2
2 0 0
2 0 2
1 2 0
0 0 1
1 2 2
0 1 1
2 1 2
1 1 0
10 7
1 0 0
1 2 1
0 2 2
2 0 0
1 1 0
0 2 0
2 0 1
1 2 0
1 1 1
2 2 2
10 4
3 1 2
3 0 0
1 2 2
0 1 2
3 1 1
3 2 2
0 0 2
3 3 0
0 3 3
2 1 0
10 9
3 1 0
3 1 4
4 2 1
1 3 2
0 0 4
0 4 0
0 3 1
4 4 1
0 0 1
4 3 4
10 7
0 1 1
1 1 1
2 1 3
2 0 2
1 3 2
2 1 1
2 1 0
3 3 3
0 0 0
1 0 1
10 2
1 1 2
3 2 3
0 1 3
1 3 1
3 1 1
3 0 1
2 0 1
0 0 2
2 1 0
0 1 1
10 8
1 1 1
2 1 2
2 0 0
0 0 2
1 0 0
2 2 0
1 2 1
1 0 2
1 0 1
0 2 0
10 2
3 1 3
3 4 2
3 0 4
0 0 2
2 3 4
3 4 4
1 2 1
1 2 2
4 0 0
3 3 1
10 4
0 2 2
1 0 1
2 2 1
0 0 0
1 1 1
1 0 2
1 1 2
2 1 2
1 0 0
2 0 1
10 5
4 2 0
2 2 0
3 2 1
3 2 4
2 4 1
2 4 3
1 0 4
3 0 4
0 1 0
2 2 2
10 4
3 5 4
4 2 2
2 1 0
0 5 0
5 2 4
3 5 5
1 3 5
2 2 3
3 1 0
4 3 3
10 5
3 3 1
5 2 3
2 2 4
4 0 4
2 4 3
0 5 0
3 0 1
3 1 2
2 5 4
1 3 1
10 6
1 0 2
2 2 0
1 0 0
0 0 2
1 2 2
0 1 0
2 0 2
1 2 0
0 2 0
0 0 1
10 6
5 0 0
0 2 2
0 0 4
3 0 5
3 2 2
2 1 5
4 1 0
1 5 0
4 3 5
4 5 5
10 7
2 0 2
0 1 0
2 2 0
0 0 0
2 0 0
1 2 1
2 1 1
1 1 1
0 0 2
1 0 1
10 3
1 0 2
2 2 0
3 1 1
1 3 1
3 1 3
1 2 3
3 1 2
3 3 2
2 0 3
1 0 1
10 3
1 0 2
0 2 2
1 0 0
0 1 0
2 0 0
0 0 1
1 1 0
0 1 1
2 0 1
2 2 2
10 6
1 1 1
3 2 1
0 1 1
2 0 3
2 2 1
3 0 3
0 2 3
0 0 3
2 2 2
3 3 1
10 3
0 2 0
0 1 0
1 2 0
2 1 1
0 0 2
1 0 2
1 1 1
0 1 2
1 0 0
0 2 1
10 9
0 1 0
2 2 3
1 0 0
2 3 0
2 2 0
3 0 3
3 0 2
3 2 2
1 2 1
0 1 1
10 9
3 4 3
5 5 0
2 0 0
5 3 3
2 0 4
4 5 4
2 4 2
1 3 2
1 1 2
2 3 2
10 2
4 2 3
5 1 4
0 0 2
4 4 5
1 5 0
0 4 0
1 0 3
1 5 3
0 2 3
5 1 5
10 8
0 2 1
1 3 3
1 1 3
0 2 0
1 2 1
0 0 3
2 3 3
2 3 0
1 2 3
1 3 2
10 6
0 4 1
2 4 1
3 0 2
0 0 1
0 2 2
3 0 1
3 3 0
4 1 3
2 0 0
2 2 2
10 7
2 0 1
2 1 1
1 0 0
2 0 0
1 2 2
2 0 2
1 1 2
2 2 1
1 2 1
0 0 1
10 6
5 1 5
0 0 2
4 2 2
1 5 4
2 0 4
4 2 1
2 4 0
0 3 5
1 5 5
5 3 5
10 5
3 0 2
3 0 0
0 0 2
1 1 3
2 2 0
2 0 1
3 2 3
1 3 3
0 3 3
2 3 0
10 4
3 2 2
4 2 3
0 4 1
1 3 4
0 0 2
1 0 2
0 4 3
2 3 2
4 4 4
1 0 4
10 8
0 3 3
3 2 2
0 2 2
1 2 3
2 0 0
1 3 3
1 0 0
2 2 0
3 1 1
2 3 3
10 7
3 3 3
2 2 1
1 2 2
1 3 2
1 1 3
0 0 0
3 0 2
2 2 0
1 0 0
1 2 0
10 9
1 2 0
2 0 2
2 1 1
0 2 0
1 0 2
0 1 1
0 2 1
2 0 0
1 1 0
1 1 2
10 8
3 0 3
3 3 4
1 3 4
0 2 3
1 4 1
3 4 1
0 2 2
3 2 1
0 3 1
2 1 0
10 4
1 4 0
4 2 1
0 3 2
0 3 4
2 3 1
1 3 0
2 2 0
1 2 2
1 0 1
1 2 0
10 4
0 1 0
2 2 2
2 0 1
2 1 0
1 2 1
0 1 1
0 1 2
0 2 1
1 1 1
2 1 2
10 7
4 4 1
4 1 4
2 3 4
2 4 4
0 2 2
1 3 2
3 0 4
4 2 0
3 3 3
4 2 2
10 3
0 3 1
1 1 3
0 1 0
2 2 0
0 0 0
2 2 3
1 1 0
3 2 2
2 1 1
3 3 1
10 6
2 0 0
2 1 1
0 2 1
2 2 0
1 0 1
1 0 0
1 2 0
1 2 2
0 1 2
1 0 2
10 5
3 1 0
1 1 0
0 1 3
2 3 1
1 1 3
0 1 0
1 3 3
2 1 2
3 2 3
3 0 0
10 6
3 4 4
2 3 3
4 2 3
1 5 4
5 1 5
0 0 3
0 1 2
0 0 2
5 5 2
4 0 5
10 2
0 3 0
1 1 0
0 3 3
0 0 3
1 3 0
0 2 1
0 1 3
1 2 0
3 0 1
2 1 2
10 8
3 1 4
0 0 5
1 5 4
3 5 0
2 2 2
1 1 2
4 1 1
3 5 2
2 3 3
2 5 1
10 5
1 0 0
1 2 0
0 1 0
1 1 1
1 0 1
0 2 1
0 1 1
2 2 0
0 2 2
2 2 2
10 7
2 1 0
1 1 2
0 2 1
0 0 2
1 0 2
2 0 1
2 0 0
0 0 1
1 0 1
2 2 2
10 2
0 0 3
1 3 3
0 1 0
3 2 1
2 0 0
1 0 1
3 3 3
2 0 3
2 1 2
2 2 3
10 8
3 3 3
2 1 2
1 3 3
0 0 2
0 2 3
3 2 1
2 2 2
3 1 2
0 2 0
1 2 2
10 2
3 1 0
2 2 0
4 1 3
3 1 1
4 1 4
3 1 2
3 4 2
5 0 4
2 1 5
0 2 2
10 8
5 5 5
2 0 3
4 0 5
1 2 2
5 5 0
0 1 5
4 4 5
3 0 5
5 5 4
3 0 4
10 9
5 2 4
0 1 0
2 3 0
5 3 4
0 4 5
2 1 2
4 1 2
5 2 2
2 2 5
4 3 2
10 3
1 1 4
5 0 2
4 2 2
0 1 3
0 4 2
2 3 3
3 2 3
4 0 0
0 0 1
1 0 4
10 3
0 2 1
1 2 1
0 0 1
0 0 2
2 2 1
1 2 2
0 1 0
2 0 2
2 1 0
0 1 2
10 6
1 0 0
2 1 0
2 1 2
1 0 2
0 1 2
0 1 1
1 1 1
0 1 0
1 2 1
1 0 1
10 3
0 1 2
1 1 0
0 2 0
1 1 2
1 0 0
2 1 0
2 1 2
1 2 2
0 2 1
0 0 0
10 6
0 2 2
3 2 0
0 4 2
2 3 4
1 4 4
0 2 1
4 0 2
0 1 1
1 3 0
0 2 4
10 6
1 0 4
1 1 1
0 5 2
5 1 4
5 3 3
3 5 2
3 3 4
0 0 2
3 3 5
5 4 5
10 5
2 2 0
0 1 2
2 0 2
1 1 2
2 0 0
0 2 0
0 1 1
0 0 0
1 0 2
2 1 2
10 4
0 3 1
0 2 2
1 2 3
2 3 3
1 0 0
2 1 1
3 1 2
3 3 1
3 0 2
2 2 3
10 2
3 5 3
5 5 2
2 1 3
1 3 2
0 0 3
2 5 4
3 2 2
5 5 0
0 1 5
0 4 3
10 4
2 1 4
3 3 0
1 4 0
1 0 4
0 2 0
4 2 3
2 4 4
2 0 4
2 2 4
3 0 2
10 7
0 1 0
0 2 2
0 0 0
1 0 2
0 1 2
1 0 1
2 1 0
1 2 0
0 2 1
1 1 2
10 3
0 3 0
0 2 0
3 0 3
2 1 0
3 0 2
1 1 3
3 2 0
0 0 0
1 0 3
1 1 1
10 6
0 2 2
2 3 1
1 4 0
0 0 1
3 2 3
1 1 3
4 3 3
0 1 2
3 1 1
1 4 3
10 4
2 0 0
4 1 1
3 4 3
5 2 2
2 4 4
5 5 3
5 1 2
2 5 4
1 5 5
0 0 0
10 3
3 2 1
0 0 0
3 1 1
3 2 4
3 3 4
4 3 5
5 4 3
2 0 0
2 5 0
3 3 3
10 6
0 3 2
3 1 0
2 0 3
3 2 0
3 1 1
3 3 0
1 2 1
2 1 1
3 0 1
2 3 3
10 8
2 2 4
4 4 5
0 0 0
5 3 5
2 0 5
1 0 1
2 2 3
1 2 3
4 2 2
1 1 0
10 2
2 2 2
1 1 1
2 0 0
0 0 1
1 2 1
1 2 0
0 1 2
2 2 0
0 0 2
0 2 0
10 4
0 1 0
3 3 0
3 4 4
3 1 0
2 3 4
2 3 3
1 0 1
3 3 4
1 3 3
4 3 4
10 9
1 4 5
5 0 0
4 5 1
3 0 0
2 3 2
4 4 3
3 4 1
2 0 2
3 2 4
0 4 4
10 3
0 2 0
2 0 0
1 2 2
2 2 1
1 0 1
0 2 1
0 2 2
1 1 0
0 0 2
1 2 0
10 4
0 2 0
3 3 3
1 3 2
3 1 2
0 1 3
0 3 3
2 0 3
2 2 2
1 0 2
1 1 0
10 5
3 1 5
4 0 3
1 4 4
0 5 5
3 0 3
0 5 4
2 5 3
0 4 5
2 0 3
5 2 4
10 2
4 2 0
2 2 3
4 1 2
3 3 4
1 3 0
0 2 1
2 0 3
4 3 1
0 0 1
1 3 3
10 7
2 0 4
4 1 3
3 0 3
1 2 4
2 3 0
1 3 4
0 4 0
4 2 4
4 1 2
2 2 3
10 5
0 1 2
2 0 0
2 2 2
0 2 2
1 0 0
0 1 1
2 2 1
2 1 0
2 0 2
1 2 1
10 4
0 4 4
2 2 2
1 2 1
1 2 3
4 4 3
1 4 0
2 3 2
3 2 2
1 3 2
3 3 0
10 6
3 1 0
1 1 0
2 0 3
3 1 1
1 2 0
1 3 0
0 2 3
0 0 2
0 1 0
2 1 1
10 6
1 3 2
2 1 3
3 1 0
2 0 2
2 0 1
2 1 0
3 3 1
0 0 3
2 2 0
3 1 1
10 8
0 0 0
2 1 0
1 0 2
1 2 0
1 2 2
0 1 2
0 0 2
0 1 0
2 2 1
0 2 0
10 5
1 1 4
4 1 5
3 0 4
4 0 5
3 3 1
0 2 5
4 3 4
1 4 1
0 2 1
4 3 2
10 3
0 5 5
4 4 0
4 4 3
1 0 1
4 3 2
3 4 5
2 3 2
5 2 4
0 5 0
1 5 2
10 3
3 3 3
0 3 1
2 2 0
3 0 3
0 2 3
1 2 2
1 1 2
1 0 1
3 0 0
2 2 3
10 5
0 1 0
4 2 0
4 1 1
3 0 3
4 4 1
2 3 2
0 0 2
0 1 4
2 0 4
3 2 1
10 9
2 1 0
0 2 2
0 2 0
2 1 2
1 1 1
2 2 0
0 2 1
1 2 2
0 0 2
2 2 2
10 4
0 2 1
1 1 2
0 3 1
2 3 0
1 1 1
1 0 0
0 0 1
2 0 0
2 2 3
1 3 2
10 5
2 2 1
2 0 2
1 1 0
0 0 1
2 1 0
1 2 2
0 2 1
2 0 0
1 0 0
2 1 1
10 2
3 4 3
1 0 4
0 1 1
4 0 1
4 4 4
4 2 2
3 0 0
1 4 0
3 2 2
0 3 4
10 7
1 0 4
4 1 1
0 2 3
2 1 3
1 3 1
3 4 1
1 1 0
2 4 1
1 3 0
4 3 2
10 3
4 1 3
5 2 3
2 0 0
1 5 4
4 3 0
4 0 5
1 2 2
2 2 2
1 4 3
0 0 1
10 2
1 0 0
1 0 2
0 0 0
1 1 2
1 2 1
2 0 2
1 1 0
2 1 1
2 2 1
0 2 1
10 6
0 4 3
3 1 0
4 2 3
0 3 3
3 3 1
4 4 4
3 0 4
2 2 1
2 4 3
2 2 3
10 4
2 2 0
1 2 3
0 3 0
3 3 2
4 4 3
4 3 0
3 3 3
2 4 3
3 2 4
0 3 2
10 6
3 4 4
3 0 4
1 4 2
3 2 4
2 0 3
3 4 0
0 1 0
2 0 1
1 3 0
0 3 4
10 2
0 1 0
0 0 0
2 1 3
2 1 1
3 2 0
3 2 3
1 0 1
2 3 1
2 3 3
3 3 1
10 6
5 3 3
0 5 3
0 3 2
3 3 1
5 5 4
4 0 3
1 0 0
2 3 5
1 1 5
1 3 5
10 3
0 2 1
0 0 0
3 0 3
0 0 1
3 2 0
1 2 0
3 0 2
0 3 2
3 2 3
3 1 0
10 2
5 4 0
1 0 4
2 5 0
0 0 5
4 3 0
2 5 2
3 2 4
2 4 3
2 3 1
3 1 2
10 6
0 0 1
0 2 0
2 1 1
1 0 0
1 0 1
0 1 2
1 1 0
0 0 2
1 0 2
0 1 1
10 7
2 2 0
2 2 4
5 3 1
2 4 3
4 5 3
3 4 3
4 2 5
5 0 4
1 1 3
0 4 0
10 7
0 4 0
2 3 0
3 2 0
4 3 2
4 1 3
3 1 4
2 4 3
4 3 4
3 0 0
2 4 2
10 7
3 2 3
3 3 0
3 3 1
3 0 0
2 2 3
2 2 2
2 2 1
2 1 0
2 3 2
2 0 1
10 2
1 3 0
3 1 0
1 2 3
2 0 2
0 3 2
0 1 1
3 1 3
2 2 0
1 2 2
3 1 2
10 3
2 2 0
1 2 2
2 3 2
0 1 2
2 0 0
2 0 2
3 3 3
1 1 2
3 1 3
0 3 0
10 7
3 2 2
4 0 1
1 4 0
1 2 2
2 4 3
4 3 3
1 3 0
0 1 3
1 0 3
2 4 1
10 6
2 0 1
3 3 1
1 1 3
0 3 1
2 3 1
1 2 2
0 0 3
1 3 2
2 2 3
0 2 2
10 5
0 1 3
2 2 1
0 3 3
1 4 4
1 4 3
4 3 4
4 4 3
2 3 4
4 0 2
3 2 4
10 4
2 3 0
2 1 0
3 3 3
0 3 0
0 1 2
2 2 2
2 2 3
1 0 1
2 0 1
3 2 0
10 7
0 3 3
0 3 1
1 3 2
1 2 0
3 1 3
1 1 3
0 0 1
3 3 3
2 3 1
0 3 2
10 5
3 3 0
1 2 1
2 2 3
2 2 0
1 0 0
3 1 3
2 1 0
0 1 2
3 0 3
2 2 1
10 9
2 1 2
0 3 1
1 2 1
2 0 2
0 3 0
1 1 1
1 0 1
2 3 0
2 0 3
2 0 1
10 9
0 0 2
0 0 1
1 2 2
1 2 1
0 2 0
2 2 2
0 2 1
2 0 0
1 2 0
2 0 2
10 6
5 3 5
3 5 2
2 2 2
2 2 1
0 1 3
4 0 4
3 1 5
0 5 0
5 1 2
4 4 4
10 6
2 2 3
1 0 4
4 4 3
3 0 1
1 2 2
4 4 4
1 3 2
2 3 0
3 3 0
3 1 1
10 6
1 1 2
2 2 1
0 1 1
1 2 0
0 0 2
0 0 1
2 1 1
1 2 1
1 0 2
2 1 0
10 7
4 5 2
1 1 5
5 3 2
2 4 2
0 2 1
4 1 3
3 5 4
5 1 3
0 3 2
2 5 1
10 9
2 4 3
4 3 1
3 3 0
2 2 2
3 4 3
1 3 2
3 1 4
4 2 2
2 3 4
3 3 4
10 8
1 0 0
0 1 1
1 1 0
1 2 2
0 1 0
1 1 2
1 2 0
2 1 2
0 0 2
2 2 2
10 7
2 3 2
1 3 3
2 0 0
3 3 0
1 0 2
0 3 0
3 3 2
3 2 3
3 1 0
1 1 1
10 3
4 1 0
3 1 4
5 2 1
5 4 2
4 2 4
4 0 3
1 3 4
1 2 1
4 5 5
2 3 0
10 4
3 2 4
4 1 3
4 2 1
1 3 4
0 2 4
2 3 3
2 0 0
2 2 4
3 1 1
3 4 4
10 4
1 1 2
2 1 1
2 0 1
1 0 2
1 1 1
0 1 2
0 1 1
2 2 1
0 1 0
1 2 1
10 9
3 0 0
2 3 0
0 2 1
3 4 3
1 3 1
4 3 0
0 1 2
2 3 3
3 1 1
4 0 3
10 7
1 3 0
2 0 3
1 3 3
3 0 3
0 2 3
1 2 2
0 0 2
1 2 0
2 2 3
3 2 1
10 9
2 0 1
0 0 2
0 1 1
2 1 0
0 0 1
2 2 1
0 2 2
1 1 0
1 0 2
2 0 2
10 7
1 0 1
0 2 0
2 3 3
0 2 1
3 2 3
3 1 2
2 2 1
0 0 1
0 2 2
1 0 0
10 5
0 2 1
1 0 1
1 0 0
1 1 1
1 2 1
0 2 0
0 0 0
2 1 0
0 1 0
0 2 2
10 4
0 0 2
1 0 1
1 2 1
0 2 1
0 0 1
2 0 2
1 0 0
2 1 2
2 2 0
0 1 0
10 5
4 1 1
3 4 0
4 2 2
3 1 3
1 1 1
3 0 3
0 1 3
3 0 4
3 3 1
3 2 0
10 5
0 2 1
2 0 1
1 2 2
1 1 0
2 0 2
0 0 0
0 0 1
1 1 2
0 1 1
2 1 1
10 4
4 2 1
0 3 1
4 3 4
3 4 3
3 4 2
2 2 4
4 1 4
3 4 4
1 0 0
0 1 2
10 2
0 2 0
2 2 2
2 0 2
1 1 2
2 1 1
1 2 0
1 2 1
1 2 2
0 1 1
2 1 0
10 6
3 1 1
3 0 2
4 1 3
2 0 3
0 3 3
0 3 2
4 2 2
2 0 2
0 3 1
4 0 2
10 5
1 2 2
3 1 3
3 0 2
3 3 0
3 0 0
2 0 1
1 2 3
2 0 0
0 2 0
0 1 2
10 3
0 2 0
1 1 2
0 1 1
0 1 0
0 2 2
2 1 0
3 1 0
1 2 0
1 0 3
0 3 0
10 5
4 2 0
4 3 3
1 1 0
1 4 2
0 1 0
1 3 2
0 1 1
2 1 4
1 1 4
2 3 1
10 9
1 0 0
2 0 0
2 0 2
1 1 2
2 1 1
2 1 2
0 2 0
1 2 1
2 2 2
0 1 2
10 5
3 1 3
2 2 2
0 2 2
4 2 1
3 0 2
0 0 3
0 0 1
1 5 4
3 3 3
1 1 4
10 3
0 3 4
5 5 5
2 2 2
0 3 3
0 4 2
4 2 0
1 5 1
4 5 3
5 5 4
4 4 0
10 5
1 1 0
2 2 0
1 2 1
1 1 1
0 2 2
2 0 2
1 0 2
2 0 0
0 0 1
1 0 0
10 4
5 5 1
4 5 2
4 0 0
5 5 3
0 3 4
5 1 0
5 0 1
1 3 4
1 1 4
0 1 3
10 6
3 0 0
0 3 1
0 1 2
4 4 3
2 3 1
2 0 3
1 0 3
4 2 0
0 2 3
4 3 2
10 6
2 1 0
0 2 0
1 1 0
0 2 1
2 0 0
2 1 1
0 0 1
1 0 0
1 2 0
2 2 1
10 3
4 4 0
4 2 5
5 0 4
3 0 0
4 4 4
0 0 0
4 0 2
3 3 0
1 3 2
1 2 2
10 4
0 1 0
1 2 1
0 3 3
4 1 1
2 3 4
3 4 2
1 1 3
3 1 2
3 3 4
4 3 4
10 6
3 1 1
1 0 1
0 0 2
2 3 2
2 0 3
2 3 3
2 3 1
0 2 1
2 0 1
0 2 2
10 7
2 2 0
1 2 1
3 2 3
2 4 4
3 2 1
3 0 3
2 1 4
4 4 2
1 3 1
1 2 2
10 8
3 1 2
2 1 1
1 2 2
0 3 0
1 3 0
1 2 0
3 2 0
3 1 0
0 2 2
3 3 1
10 2
1 1 3
3 0 1
1 2 2
2 1 0
1 1 2
3 3 4
4 1 2
4 3 3
2 4 0
0 1 1
10 8
1 2 0
2 0 0
0 3 1
3 2 2
3 2 1
3 1 2
3 3 1
1 2 1
1 0 2
2 3 2
10 6
4 1 2
4 1 0
1 1 0
4 0 1
0 2 1
3 1 2
2 4 3
1 0 0
3 3 0
2 0 1
10 6
2 3 1
1 1 3
4 5 3
2 0 0
3 2 1
1 4 0
1 3 4
4 2 2
2 3 0
1 5 5
10 6
2 0 2
1 0 0
2 2 0
0 2 1
2 1 2
0 1 2
2 0 1
1 0 2
1 0 1
1 2 0
10 9
2 2 3
3 3 2
1 1 3
4 4 4
2 1 1
2 0 0
2 0 4
0 3 3
0 4 2
4 2 1
10 7
3 0 0
2 2 2
3 3 3
3 1 1
0 0 2
3 3 0
0 3 2
3 1 3
1 1 0
1 0 0
10 8
2 0 0
0 1 1
1 1 1
1 2 3
1 2 0
2 2 0
2 2 1
0 2 1
3 3 1
1 2 2
10 6
4 0 2
5 4 1
4 1 2
2 3 3
4 5 1
0 5 3
2 3 5
0 2 2
4 3 4
0 1 3
10 2
0 2 2
2 1 2
1 1 2
2 1 0
1 2 0
2 2 0
2 0 0
0 0 1
1 0 1
0 0 0
10 6
3 3 3
3 1 0
4 4 1
3 2 2
0 4 0
0 4 3
4 1 4
0 4 2
4 0 4
2 1 1
10 6
2 2 0
1 0 3
3 1 1
3 1 2
1 2 2
2 1 0
1 1 1
2 1 3
0 0 2
0 0 3
10 2
1 2 0
2 1 2
2 1 1
0 2 0
1 1 1
1 1 2
1 0 2
2 0 1
0 0 1
1 2 2
10 2
1 3 1
0 3 1
0 1 1
0 3 0
0 0 2
2 0 1
1 2 0
2 2 1
2 0 2
3 2 0
10 9
1 0 1
0 2 1
0 2 3
2 0 2
1 0 3
2 1 0
3 0 0
2 3 0
3 3 0
3 1 2
10 2
0 2 1
1 3 2
3 4 0
2 3 1
3 1 1
4 1 1
4 3 3
4 3 2
4 0 4
3 1 3
10 4
5 1 3
1 3 3
0 1 0
1 3 0
0 5 0
3 3 1
2 1 5
0 0 0
4 0 0
0 4 0
10 4
3 4 3
4 3 3
4 3 1
2 4 1
1 3 4
1 4 4
1 2 2
2 1 2
1 4 0
2 3 2
10 4
2 0 0
1 4 3
1 1 4
3 1 2
0 2 1
0 3 1
3 0 2
1 3 2
2 4 3
0 4 4
10 6
1 0 2
1 2 0
0 3 2
0 1 2
1 0 3
2 2 1
1 1 1
1 3 1
2 3 1
2 2 3
10 9
0 1 2
2 1 1
1 1 2
1 0 1
0 0 2
0 0 1
0 1 1
1 0 2
2 0 0
1 1 0
10 7
3 2 2
1 4 5
0 3 2
3 0 4
4 4 5
1 3 3
2 5 0
2 1 0
2 1 3
2 5 1
10 4
0 1 0
1 0 1
2 1 0
1 1 0
2 2 2
2 2 0
0 2 1
1 2 0
0 1 1
2 0 2
10 3
3 2 3
2 2 0
1 0 1
1 3 0
1 3 3
0 2 2
2 2 3
1 0 3
3 3 1
0 2 1
10 5
5 0 3
1 2 0
0 2 0
4 5 2
0 3 3
1 3 3
4 1 0
0 0 2
0 4 0
0 5 0
10 8
4 5 0
4 1 2
3 2 5
0 3 3
5 3 4
1 2 0
0 2 3
3 1 3
1 4 3
5 1 0
10 9
0 0 1
0 0 0
0 2 2
2 2 0
0 2 0
0 0 2
1 2 2
0 1 2
2 2 2
2 1 2
10 2
4 3 0
5 2 4
4 4 1
4 2 3
2 4 2
5 2 0
0 0 3
1 3 1
5 1 3
0 2 2
10 9
1 1 1
2 2 1
0 0 1
0 2 1
1 0 0
0 1 2
0 2 2
1 2 0
1 2 2
0 1 1
10 2
1 2 3
0 0 1
2 2 3
3 3 0
2 0 1
3 2 3
0 2 3
0 1 2
2 1 0
0 3 0
10 2
2 2 3
3 3 4
0 0 1
4 3 0
4 1 3
1 4 3
2 0 0
1 4 0
0 4 2
1 4 4
10 6
2 0 2
0 1 1
0 1 0
0 0 2
0 2 1
2 0 0
1 1 0
0 2 2
2 1 0
1 1 1
10 6
1 0 3
2 2 1
0 0 3
0 1 1
2 0 3
3 0 2
1 2 0
0 1 0
0 1 3
3 0 0
10 2
3 0 2
1 4 4
0 3 5
4 4 0
1 2 1
4 1 3
5 2 1
4 3 2
5 1 5
5 3 0
10 6
3 0 3
1 0 1
3 3 0
1 2 3
1 0 0
1 1 3
2 2 1
0 1 2
1 3 2
1 0 2
10 6
1 2 1
3 1 0
2 1 2
0 2 3
1 0 3
3 1 2
1 2 3
0 3 0
1 1 2
1 3 1
10 5
0 3 0
5 4 0
1 0 2
5 4 1
3 0 2
3 3 2
3 5 4
3 4 3
1 4 2
2 0 5
10 9
4 0 1
3 3 0
1 2 0
0 0 4
3 3 2
3 1 1
0 4 1
2 0 2
3 0 3
1 1 1
10 5
2 2 1
4 4 4
0 3 4
4 0 2
5 0 5
4 5 2
1 3 2
2 2 2
1 4 2
5 0 2
10 4
1 2 0
2 1 1
2 0 0
0 1 2
0 0 2
1 1 0
1 0 0
1 2 1
0 0 1
0 2 2
10 8
0 2 1
1 2 2
1 3 2
2 1 1
3 3 1
3 0 0
2 0 1
1 2 0
1 0 2
1 1 1
10 3
0 0 2
3 0 0
0 1 1
0 1 0
2 1 3
0 3 1
1 3 2
3 1 0
2 0 3
3 0 1
10 2
0 2 2
2 0 2
2 1 0
1 2 0
0 2 0
0 1 0
1 1 1
2 0 1
2 2 1
1 0 2
10 2
1 1 1
0 1 1
2 0 1
2 2 0
2 0 2
1 0 0
0 2 0
0 0 0
2 1 2
1 2 2
10 2
0 2 3
3 0 0
3 3 3
2 3 3
3 0 3
3 2 2
0 3 2
2 3 1
2 0 0
3 1 2
10 2
2 0 2
1 3 1
0 0 2
3 1 2
0 3 2
2 1 1
0 1 3
1 1 3
1 1 2
1 2 3
10 9
3 0 2
3 0 3
3 2 1
2 1 1
2 1 0
3 1 2
2 0 1
3 0 0
0 0 2
0 3 1
10 5
3 3 0
1 3 2
0 3 2
2 2 2
3 0 3
0 2 1
1 0 0
0 3 1
1 3 0
0 2 3
10 8
3 3 3
1 3 3
3 0 0
1 3 2
1 0 0
0 2 2
0 1 0
1 1 0
1 0 3
2 2 0
10 2
3 3 2
1 3 2
4 0 4
1 3 4
1 0 2
3 3 4
2 3 1
4 3 2
1 0 0
2 4 0
10 7
1 4 0
0 4 4
2 0 5
3 4 4
0 0 2
2 2 3
0 2 3
1 3 0
0 0 3
2 4 1
10 7
2 5 5
3 5 1
0 3 5
0 3 1
1 4 2
1 5 5
1 0 0
5 3 2
4 4 4
1 0 3
10 7
2 3 1
0 2 2
2 0 1
0 0 2
0 1 2
1 3 1
2 3 0
2 2 3
0 2 1
1 2 2
10 6
2 5 4
0 1 0
2 0 2
4 1 0
3 5 5
3 3 5
0 1 4
3 3 0
3 5 4
5 5 1
10 9
0 2 0
0 1 0
1 1 2
0 0 0
2 0 0
1 0 2
0 0 1
1 0 1
0 2 2
1 2 2
10 8
0 5 1
0 4 4
1 3 0
3 5 5
2 4 0
3 2 0
4 0 0
4 5 5
5 5 3
3 3 1
10 8
5 4 5
1 0 3
5 4 1
4 5 2
5 0 5
5 2 0
2 4 4
1 3 3
0 5 1
3 1 2
10 8
1 0 2
2 1 0
1 2 1
1 2 2
2 1 1
1 0 0
2 0 1
2 2 2
0 1 1
2 0 0
10 7
3 2 1
3 0 1
1 1 0
2 2 1
1 3 3
1 2 0
1 3 2
2 2 0
1 0 0
0 2 1
10 6
0 0 5
5 2 0
3 0 1
3 4 2
5 4 4
1 0 0
2 4 4
5 3 4
4 5 0
0 4 5
10 8
2 2 1
2 2 0
1 1 0
2 2 2
1 1 2
1 0 0
2 1 0
0 0 2
2 0 2
0 0 0
10 2
4 5 1
3 5 5
3 3 3
2 4 5
4 0 5
3 1 4
1 2 4
4 5 0
1 0 3
2 3 1
10 4
0 0 2
0 2 3
1 3 2
2 2 2
2 0 0
1 3 0
1 1 0
3 2 3
2 0 3
2 3 1
10 7
2 3 3
0 3 0
4 3 5
2 2 2
5 0 3
1 0 0
5 4 3
1 5 2
4 4 4
0 4 2
10 3
2 3 1
2 1 2
3 0 2
2 3 3
1 0 1
0 3 0
0 0 0
2 2 3
1 3 0
3 1 0
10 8
0 1 0
2 2 0
2 0 2
0 0 0
0 2 2
2 2 2
1 1 0
1 1 1
1 0 2
0 1 1
10 8
0 4 0
0 3 4
0 0 0
0 0 2
4 2 0
1 4 1
4 0 0
3 3 4
4 2 1
2 1 1
10 4
4 2 2
2 3 3
5 2 4
4 0 3
4 4 1
2 1 5
1 4 3
4 4 5
2 2 3
5 4 0
10 6
5 0 3
5 2 1
4 0 2
2 0 3
5 0 1
2 5 0
2 3 0
4 4 4
0 3 4
2 2 2
10 4
2 2 0
2 3 0
3 3 1
2 1 1
3 0 2
3 0 1
2 3 1
1 3 2
2 0 0
0 0 3
10 3
2 2 0
2 0 2
3 1 1
0 0 0
4 2 0
0 1 1
3 0 0
1 2 0
0 3 2
4 0 3
10 4
0 0 0
0 0 1
1 1 2
0 2 1
2 1 0
1 2 1
2 0 0
2 2 2
1 1 0
0 1 1
10 9
0 1 3
1 1 2
3 3 2
0 1 1
0 2 0
2 2 0
3 3 0
2 2 2
3 0 2
0 0 3
10 3
2 1 0
1 2 2
0 1 1
1 0 2
0 2 0
2 0 0
0 2 2
2 0 1
2 2 0
0 0 1
10 7
2 3 2
0 1 0
2 1 3
1 2 3
3 1 1
3 1 0
3 0 2
3 1 3
1 2 1
2 2 2
10 9
4 4 3
0 3 1
2 3 0
4 2 0
1 4 2
0 4 2
2 1 3
3 3 0
2 1 4
3 2 4
10 5
2 0 0
1 0 1
0 0 2
2 2 0
2 1 2
1 1 1
1 1 2
0 1 2
2 1 1
1 2 0
10 4
3 0 3
1 2 1
4 1 3
2 2 0
0 0 1
4 1 2
3 1 3
2 4 1
3 1 1
4 1 4
10 8
2 1 4
4 0 0
2 0 1
3 1 2
0 4 4
3 3 0
0 4 2
2 1 0
3 3 2
2 2 0
10 2
0 2 0
3 3 2
2 1 2
0 1 0
2 1 1
1 3 2
1 1 0
1 2 1
2 2 2
3 3 1
10 9
2 3 1
1 3 0
2 3 2
2 0 3
2 0 2
0 2 1
2 1 3
0 1 1
0 2 0
3 1 1
10 4
0 2 0
2 1 0
1 1 2
0 1 0
0 1 2
1 2 2
2 1 1
0 0 1
2 0 0
0 2 2
10 6
1 1 5
2 3 3
1 2 1
1 5 2
0 5 3
4 1 4
2 0 1
2 5 3
5 3 3
5 1 2
10 3
4 5 0
0 4 5
4 0 1
2 1 0
1 1 3
2 4 2
5 0 1
4 3 3
4 2 5
4 4 1
10 3
4 1 0
0 2 4
3 3 4
0 4 2
0 1 0
4 3 0
4 0 0
2 0 0
1 3 2
1 4 3
10 4
1 2 0
5 2 4
0 0 1
4 4 5
3 4 2
2 2 4
1 2 4
5 4 2
0 2 1
0 5 0
10 7
0 3 4
2 1 0
2 3 2
1 4 2
4 1 0
3 1 1
3 4 4
0 2 1
3 3 4
5 5 0
10 7
2 2 1
0 1 2
2 2 2
0 0 1
2 0 2
0 2 2
0 2 1
1 0 1
1 2 1
0 2 0
10 9
1 4 0
0 3 2
2 1 4
0 4 2
1 4 2
1 1 2
3 3 1
2 0 0
4 1 0
0 1 1
10 2
2 1 1
2 1 2
1 1 1
0 1 1
2 1 0
2 0 0
1 1 2
1 2 1
0 0 1
0 2 1
10 7
1 5 3
4 4 2
5 0 2
5 5 0
5 3 2
1 2 2
1 0 3
4 1 0
0 2 5
1 2 5
10 6
4 4 2
0 3 2
4 1 1
1 0 1
2 1 2
2 3 0
0 4 2
0 3 4
3 2 1
0 2 4
10 3
0 4 3
3 4 1
3 0 3
0 3 2
3 1 2
0 1 4
0 2 1
0 4 1
1 0 2
4 3 0
10 6
3 0 1
2 1 3
1 0 1
0 1 3
0 2 1
1 2 3
2 3 3
1 3 0
0 1 2
0 2 3
10 6
3 4 1
1 5 1
2 0 5
2 3 4
0 5 3
4 0 2
4 0 5
1 3 5
0 2 0
5 2 4
10 8
5 4 4
3 5 1
4 4 3
2 5 5
2 2 3
3 5 0
3 4 1
0 0 0
2 2 5
2 3 1
10 6
1 0 1
0 2 2
1 0 2
2 0 2
0 1 2
0 1 0
0 0 1
2 1 2
0 2 1
1 1 1
10 7
3 4 5
4 5 2
1 0 1
5 3 4
3 1 1
1 2 1
5 1 1
1 4 2
3 2 1
1 5 2
10 5
4 3 0
2 2 4
0 5 0
0 0 0
3 5 2
3 0 5
0 3 3
5 2 4
0 4 1
0 5 3
10 2
2 0 2
0 2 2
1 2 0
2 1 2
0 0 2
0 2 1
2 2 1
0 1 1
1 1 2
2 2 2
10 2
0 2 2
0 0 1
2 1 1
1 0 2
0 1 2
1 1 1
1 0 0
1 1 2
0 0 2
1 0 1
10 3
3 2 5
4 4 3
4 0 3
3 0 1
3 0 2
4 3 4
0 4 3
2 4 5
4 0 0
0 5 0
10 8
2 1 2
3 1 3
0 2 4
3 3 0
1 2 4
3 0 4
1 2 1
0 3 4
3 2 0
0 4 1
10 5
2 1 1
2 0 1
2 1 0
0 1 0
1 0 2
2 1 2
1 0 0
2 0 2
1 2 0
1 1 0
10 6
3 2 0
2 3 3
2 0 4
1 0 1
2 2 0
4 3 3
3 1 0
1 0 3
3 2 3
4 4 4
10 9
2 1 3
1 2 1
3 0 1
2 2 3
0 3 1
0 3 2
0 1 2
0 0 1
1 1 3
3 1 1
10 6
4 1 0
2 1 2
0 3 4
2 1 4
0 0 2
3 1 0
4 5 3
2 4 2
0 5 2
0 4 4
10 5
3 0 0
1 3 2
2 0 0
0 2 3
2 3 1
3 1 2
0 2 0
0 0 1
3 2 3
2 3 0
10 7
3 3 1
1 2 3
3 1 3
2 1 1
1 0 3
3 3 2
2 1 2
0 3 3
3 3 3
3 0 0
10 5
3 1 4
1 5 3
4 2 2
1 4 3
0 5 5
5 4 3
0 2 1
0 3 3
5 5 5
4 0 3
10 5
4 1 0
3 5 3
4 4 5
5 0 2
0 1 0
4 5 4
5 4 4
1 5 0
5 0 3
4 1 2
10 8
1 2 1
1 1 2
2 1 2
2 0 0
3 1 0
1 0 1
1 3 0
3 1 1
2 2 2
3 3 3
10 2
3 2 3
1 3 0
2 3 0
1 0 0
0 3 3
3 2 2
2 0 3
1 2 1
1 3 2
2 2 1
10 8
0 0 1
2 0 2
3 3 0
0 1 2
2 1 2
0 2 3
1 0 1
2 3 3
3 3 2
0 0 0
10 6
4 2 0
1 1 3
4 3 0
3 0 4
2 5 2
3 4 2
3 3 3
1 0 2
1 5 5
5 2 0
10 4
2 0 2
2 1 2
1 2 1
2 0 0
1 2 0
0 1 2
2 0 1
1 1 0
2 2 1
0 0 0
10 2
1 2 2
4 4 1
4 2 3
2 1 0
2 3 3
2 0 3
0 0 2
4 1 3
0 4 4
2 0 0
10 2
1 1 3
5 3 2
0 2 4
3 3 5
5 0 2
0 4 4
3 0 3
2 4 1
5 4 0
4 3 4
10 3
0 5 4
3 2 3
0 2 2
4 2 3
0 1 3
2 3 2
3 1 0
3 3 0
5 3 4
1 2 4
10 5
3 5 5
2 1 0
0 1 2
5 3 0
0 4 2
0 3 5
3 3 2
3 2 0
3 0 5
2 0 3
10 3
4 0 0
4 2 2
4 2 3
3 0 5
5 1 3
1 1 3
5 5 2
5 1 1
4 5 1
2 5 5
10 4
2 3 1
2 0 0
3 2 2
2 3 3
0 0 0
2 3 2
0 2 3
3 0 3
1 0 2
0 2 2
10 2
0 1 1
1 2 1
3 0 1
3 3 1
2 3 3
2 0 2
3 2 3
2 1 2
2 2 1
2 0 3
10 5
1 2 2
1 4 1
0 2 4
2 4 0
5 1 3
2 3 0
4 5 4
5 3 0
2 5 2
2 2 0
10 7
0 1 4
0 0 4
3 0 3
1 4 0
4 0 1
2 3 4
1 3 1
0 4 4
3 1 0
1 3 4
10 9
3 2 0
3 5 5
4 1 1
0 5 0
3 5 2
0 5 4
4 4 3
4 1 4
5 3 4
0 3 2
10 4
3 1 1
0 3 2
3 5 2
2 5 4
3 5 5
3 2 1
1 2 4
5 2 2
0 0 5
0 2 1
10 8
1 1 0
0 4 3
0 1 2
4 3 0
4 0 1
0 0 1
2 2 3
1 0 3
4 2 1
2 0 2
10 7
0 1 2
2 0 0
0 1 1
2 2 1
0 2 0
2 2 0
0 0 2
1 1 1
1 0 1
2 0 2
10 9
3 2 2
0 2 3
2 3 2
2 0 0
3 2 1
0 2 0
3 1 0
3 0 1
2 3 1
0 0 1
10 4
3 0 1
3 3 3
1 2 1
2 3 3
2 2 1
0 2 1
3 3 0
0 3 3
2 0 0
0 1 2
10 5
0 2 3
2 1 1
3 1 0
0 3 2
2 3 3
1 1 2
1 2 2
0 0 3
2 0 0
2 3 1
10 7
2 1 2
0 1 0
0 0 0
1 1 2
2 0 0
0 1 1
2 2 0
0 0 2
1 0 2
0 2 2
10 9
0 5 3
0 0 4
4 1 1
0 2 5
3 0 4
3 5 1
4 0 1
4 5 2
3 3 0
2 4 1
10 2
3 2 0
5 3 4
3 2 1
1 2 1
3 4 4
2 1 4
5 3 2
5 0 5
2 5 4
1 2 4
10 2
0 2 2
0 2 1
0 1 3
1 2 0
3 2 3
0 1 2
3 2 0
0 3 0
1 2 2
1 1 0
10 8
2 2 2
1 1 2
2 1 2
1 1 1
1 2 2
1 2 0
1 1 0
0 1 0
2 2 1
0 2 0
10 7
2 4 5
2 4 1
0 1 2
5 2 0
5 5 3
3 3 5
2 1 5
2 3 3
4 1 3
3 3 4
10 8
3 3 3
0 2 1
0 1 2
1 2 1
0 1 0
0 2 3
3 1 2
2 0 1
1 3 2
3 2 1
10 4
3 5 0
4 2 1
2 3 0
2 3 3
5 2 0
3 2 2
2 3 1
3 3 2
0 1 1
5 1 4
10 7
1 1 1
3 1 3
2 1 4
2 0 3
4 1 1
3 4 2
4 2 1
3 2 1
1 2 3
1 2 2
10 9
0 1 1
1 2 1
2 0 0
0 2 1
2 2 2
1 1 1
1 0 2
0 0 0
1 0 0
2 1 1
10 7
5 3 3
3 3 5
2 2 1
4 1 5
4 3 1
3 4 5
3 5 3
2 4 2
3 1 1
3 5 4
10 5
1 2 1
0 2 2
0 3 2
0 3 3
2 2 3
2 3 3
0 2 1
3 2 1
3 1 3
0 1 0
10 6
3 3 0
0 1 2
2 2 1
2 3 1
0 1 0
2 1 1
0 3 0
2 3 2
1 1 0
0 2 2
10 5
2 2 0
0 1 2
2 0 2
2 1 2
2 1 1
2 2 2
0 1 0
1 0 0
1 0 2
0 2 1
10 6
3 2 4
2 5 4
4 2 4
3 5 0
1 0 2
0 3 2
5 4 4
5 3 0
2 1 1
4 5 4
10 2
3 0 0
1 4 2
0 1 3
1 4 0
2 4 2
2 2 1
1 3 2
2 4 3
4 0 0
0 1 1
10 5
2 2 4
1 2 5
5 5 1
3 3 2
2 4 2
5 2 5
4 5 1
0 5 1
2 0 0
4 4 2
10 8
2 2 3
2 3 3
3 0 2
3 0 3
3 3 3
3 2 1
3 3 0
0 2 3
1 2 1
3 1 1
10 4
2 1 2
0 0 0
3 1 2
0 2 1
1 0 3
0 1 3
0 1 2
3 3 1
3 2 2
2 0 0
10 5
1 3 1
3 0 0
0 2 2
2 2 0
2 0 2
3 0 2
3 2 1
0 1 3
0 0 1
1 0 0
10 8
3 4 5
0 2 1
1 0 3
2 2 0
5 3 3
2 4 5
5 1 4
3 5 1
0 5 3
1 0 1
10 9
0 0 0
1 0 2
0 2 2
0 2 0
0 2 1
2 1 1
0 0 2
2 2 1
2 2 2
1 0 0
10 8
0 2 1
0 0 2
2 1 2
0 0 1
2 1 0
0 1 0
0 2 2
2 0 2
1 1 2
2 0 1
10 9
3 0 3
1 2 1
3 1 2
0 0 0
3 3 0
3 0 1
0 3 3
1 2 2
1 1 1
2 1 1
10 6
3 4 3
4 1 3
0 3 0
3 0 5
5 5 0
5 4 1
2 2 2
3 0 1
4 5 0
3 5 3
10 7
2 3 3
0 4 0
5 2 1
0 0 5
5 5 4
1 4 3
2 5 4
0 1 0
1 1 5
1 5 4
10 5
4 5 4
0 4 0
4 4 5
1 0 1
3 3 1
3 2 5
4 1 4
3 5 4
2 5 3
3 1 5
10 7
2 2 0
0 0 0
2 1 0
0 1 0
2 2 1
2 0 1
2 2 2
0 0 2
1 2 1
0 1 2
10 9
0 2 3
0 3 2
0 3 1
3 3 3
2 3 2
2 1 1
2 0 2
2 1 0
3 3 2
3 0 2
10 4
1 1 1
1 2 1
1 1 0
2 2 2
1 1 2
2 0 2
0 2 2
0 2 1
2 1 2
1 0 1
10 8
5 1 4
1 1 0
5 5 3
3 2 2
2 5 0
5 0 5
0 4 5
2 0 2
0 1 0
5 1 2
10 8
2 4 2
4 1 2
2 4 3
2 3 2
0 3 3
4 1 0
0 3 1
4 0 0
2 4 0
3 1 0
10 3
2 1 3
0 1 1
0 0 1
0 2 3
3 2 3
0 3 0
0 2 2
3 0 3
0 0 3
2 0 0
10 7
1 0 1
3 0 1
4 1 4
1 2 1
3 2 1
3 3 1
4 4 4
3 0 3
1 0 2
0 0 4
10 9
3 1 3
4 3 0
0 1 2
2 2 3
4 2 0
0 4 4
3 0 1
2 1 3
2 1 0
3 4 1
10 2
0 3 3
0 4 4
0 2 1
3 3 0
2 3 2
1 3 2
0 1 0
4 0 3
0 4 1
3 1 0
10 7
2 1 2
3 3 0
4 1 3
4 2 4
5 2 1
2 4 4
5 5 0
0 0 5
1 0 2
1 3 3
10 6
2 3 1
0 3 0
1 0 1
1 3 2
2 0 0
1 3 1
0 0 0
2 2 3
3 0 2
3 3 1
10 9
0 2 1
1 2 4
1 1 0
2 4 1
3 3 1
1 2 3
4 0 1
2 1 4
2 4 2
2 1 1
10 8
0 1 3
0 3 3
3 4 1
1 4 0
3 4 3
2 4 4
4 1 1
3 2 0
1 1 3
2 1 2
10 7
5 1 2
2 5 4
3 0 3
0 5 0
4 2 5
5 3 0
4 1 1
0 5 2
2 2 3
2 5 0
10 9
0 2 2
1 1 2
3 0 3
1 3 0
0 3 0
2 0 3
2 3 1
3 0 1
3 3 3
2 0 0
10 4
3 4 1
4 0 1
4 1 3
0 3 0
1 3 3
1 4 0
3 4 4
4 1 2
0 3 2
4 3 2
10 9
5 2 4
2 5 3
2 4 4
3 2 4
1 3 4
0 2 5
5 3 0
1 2 0
2 3 4
1 1 3
10 3
1 1 1
3 0 1
1 1 2
3 3 0
2 0 2
3 2 3
3 1 2
3 0 0
2 0 0
2 0 1
10 8
2 2 0
2 1 2
2 1 1
2 0 1
2 1 0
1 0 0
1 0 1
0 2 0
0 1 1
2 0 0
10 6
2 3 1
2 0 3
0 1 2
3 2 3
3 1 0
3 2 1
0 3 3
3 0 3
0 2 2
0 0 3
10 8
2 0 2
0 0 2
0 1 2
2 1 1
1 2 1
0 0 0
2 0 0
2 2 0
1 2 0
1 1 2
10 7
3 3 1
0 4 1
1 1 0
0 2 1
4 1 0
3 2 4
1 4 4
3 3 0
2 1 0
4 0 3
10 7
3 0 1
0 2 0
2 1 3
1 3 2
0 0 1
0 0 0
1 4 0
1 3 3
1 0 3
2 2 3
10 5
1 1 3
4 0 3
1 4 4
3 2 0
2 4 3
4 2 4
0 0 3
2 1 3
3 1 0
0 3 4
10 5
1 3 4
5 2 4
5 3 2
3 1 5
0 1 5
3 3 1
5 5 4
1 5 0
0 3 5
0 4 1
10 3
2 3 3
4 2 0
2 0 1
2 0 2
1 4 2
2 0 0
4 4 0
2 1 3
0 4 1
0 0 2
10 6
4 1 1
2 2 1
1 4 4
2 3 0
4 2 0
0 4 2
0 0 4
3 1 1
4 0 5
2 0 1
10 4
2 2 0
1 1 0
3 2 3
1 2 0
0 1 3
0 1 2
1 2 1
3 2 1
3 2 0
0 1 1
10 7
0 5 4
0 5 1
4 0 1
4 5 2
0 4 2
5 2 2
3 5 5
1 3 4
5 0 3
1 1 4
10 6
2 1 1
1 0 0
1 1 1
1 2 1
0 0 1
0 1 2
0 0 0
0 2 1
1 0 1
2 2 1
10 6
4 4 2
4 4 4
0 1 2
1 0 0
2 1 1
0 1 1
0 4 4
2 3 3
0 0 1
0 0 4
10 5
4 0 4
0 3 2
2 1 1
5 3 4
3 3 1
3 4 3
1 4 2
5 2 4
2 4 3
1 3 5
10 8
0 2 1
2 0 0
0 0 0
1 2 2
1 0 1
1 1 0
2 2 2
0 0 2
2 2 1
0 2 0
10 6
2 0 1
2 1 2
1 2 0
0 1 1
2 2 2
2 2 1
0 0 1
1 2 1
2 1 0
1 0 2
10 2
4 2 3
3 3 1
5 3 5
3 0 1
3 1 4
1 3 2
3 4 4
5 0 5
4 2 1
3 1 3
10 2
0 1 2
1 2 0
2 1 2
0 2 1
2 1 0
1 0 2
2 0 0
1 2 1
0 0 2
0 2 0
10 2
3 4 1
0 1 3
3 4 4
0 0 2
0 0 3
0 0 0
2 2 3
0 1 4
4 4 1
1 2 1
10 9
4 3 4
0 2 3
3 3 4
4 3 2
2 4 1
4 3 1
0 1 1
2 3 0
3 2 0
0 2 4
10 5
0 0 2
0 2 1
0 3 1
2 0 0
2 0 1
1 2 3
1 0 0
1 3 0
3 3 2
3 3 1
10 7
0 4 2
4 2 3
3 3 4
1 4 3
0 1 1
4 4 4
3 1 4
2 1 2
3 4 2
1 0 4
10 8
4 2 3
1 2 3
2 4 3
1 0 4
2 2 1
1 3 4
4 1 2
1 3 3
2 4 2
2 1 1
10 4
0 0 4
1 4 3
4 1 1
4 4 1
3 3 0
0 2 0
0 1 3
2 4 2
4 3 1
1 4 0
10 7
0 0 2
1 2 1
2 2 0
0 1 2
2 0 2
0 2 2
1 1 1
0 1 0
0 1 1
1 0 2
10 6
1 0 1
0 0 3
0 3 1
3 0 0
2 3 1
1 2 0
0 0 2
3 2 2
1 3 3
3 1 2
10 4
1 1 3
1 4 2
4 0 3
4 3 2
3 2 4
4 3 0
0 3 1
1 0 0
0 1 3
0 4 3
10 4
1 2 0
0 2 2
1 1 0
0 1 0
3 0 0
1 3 2
0 0 1
1 3 1
2 2 1
2 2 3
10 6
1 1 2
2 0 2
2 1 0
0 0 0
2 1 2
1 0 1
2 2 1
0 1 2
0 0 1
2 0 0
10 4
1 4 2
2 3 1
0 3 4
4 0 3
0 2 3
2 2 0
4 2 1
2 3 2
3 2 1
1 0 2
10 9
3 0 2
1 1 0
1 3 0
2 2 0
3 3 0
1 1 1
2 0 3
2 0 2
3 0 0
3 2 2
10 2
2 3 2
0 5 5
4 3 2
5 0 5
0 4 5
2 0 4
2 1 3
4 0 2
4 4 2
3 3 1
10 2
3 1 1
0 3 2
3 3 2
1 1 2
0 1 3
3 1 2
3 2 1
0 0 3
3 0 2
1 3 0
10 3
1 3 3
0 1 1
1 1 0
0 3 1
0 2 1
1 2 3
3 1 1
0 2 3
3 2 3
0 1 0
10 8
1 1 2
2 2 1
0 0 0
2 2 0
2 2 2
1 2 1
1 1 0
1 1 1
1 0 2
1 2 0
10 5
0 0 1
1 1 4
4 4 4
4 1 1
4 3 1
1 1 1
1 3 0
4 3 3
0 2 4
3 3 4
10 9
3 3 2
5 2 1
0 2 4
0 2 1
3 3 5
1 5 3
1 4 1
5 2 0
4 1 4
3 4 5
10 7
1 3 2
2 0 0
4 2 0
2 4 2
4 3 2
0 3 3
3 3 0
3 4 4
0 4 1
3 4 3
10 9
2 0 3
3 2 3
1 2 3
1 2 2
3 2 2
2 3 2
0 2 3
0 3 1
2 0 0
1 0 3
10 7
0 1 1
0 1 0
1 1 0
0 2 2
1 0 1
1 2 1
0 0 1
2 0 0
2 0 2
1 1 1
10 9
2 0 5
4 1 1
4 5 3
1 1 2
1 4 0
1 3 4
3 3 4
4 2 5
4 2 4
1 1 0
10 7
1 3 1
3 1 2
3 2 2
1 1 3
2 2 1
1 0 3
2 1 3
1 1 0
0 3 2
2 0 2
10 5
0 1 2
5 4 0
4 5 4
0 1 5
5 3 0
5 2 4
3 5 3
5 0 2
2 5 0
4 3 2
10 9
3 3 0
2 0 3
0 0 3
0 0 2
0 0 0
3 1 3
2 3 2
2 3 3
1 0 1
3 2 0
10 6
1 1 3
0 2 3
1 1 1
1 3 2
2 3 0
0 0 0
3 0 2
2 1 1
3 0 3
0 2 1
10 3
0 0 4
0 1 3
4 4 2
4 2 0
3 2 1
0 3 0
4 1 2
0 3 2
0 2 3
3 0 0
10 2
4 1 3
4 2 2
1 5 2
3 1 5
0 5 3
0 0 1
0 3 4
1 2 4
2 4 1
4 3 5
10 4
3 0 2
0 0 2
0 3 3
1 0 3
1 0 2
2 3 2
1 1 3
0 0 1
2 2 3
1 2 1
10 6
2 2 1
2 3 0
2 1 3
2 2 3
0 1 1
0 3 1
1 2 1
1 1 3
3 2 3
1 0 0
10 2
3 2 1
3 3 2
2 0 2
2 0 0
0 3 2
1 3 1
0 1 2
0 2 0
2 2 3
1 0 3
10 8
1 4 3
3 3 0
0 3 4
3 4 0
4 2 4
0 2 3
2 2 3
4 4 0
1 4 2
1 3 4
10 7
1 2 2
0 1 0
1 0 2
1 0 0
0 0 1
2 2 0
1 1 1
2 0 0
2 2 1
2 1 0
10 4
2 0 2
2 2 0
0 0 0
0 1 2
2 1 0
1 1 2
2 1 1
0 2 2
1 0 2
1 2 2
10 4
0 0 0
2 1 0
0 1 3
2 1 1
0 1 0
0 0 2
3 1 0
1 1 1
2 0 3
2 2 2
10 8
2 3 2
0 2 0
3 0 3
1 2 1
3 2 1
3 1 0
2 0 3
1 0 0
3 3 3
2 0 1
10 6
4 3 0
2 4 0
4 2 2
0 0 5
5 1 4
0 1 4
0 5 4
3 1 4
2 3 5
5 4 2
10 6
1 1 2
1 1 1
2 2 2
2 1 1
0 0 0
0 1 2
1 2 2
2 2 1
2 2 0
0 2 0
10 4
0 2 0
2 2 0
2 2 2
1 2 2
1 0 0
0 1 2
1 1 1
1 2 0
2 0 0
0 0 2
10 6
2 0 0
1 2 1
2 1 1
1 1 2
0 1 0
2 1 0
1 2 2
1 1 1
1 0 0
0 1 2
10 5
2 1 2
1 2 3
1 0 3
3 0 0
1 3 0
2 0 2
0 1 1
0 0 0
3 1 1
1 1 2
10 9
1 4 3
0 1 1
3 5 1
4 4 4
5 4 5
2 3 5
5 4 3
5 0 1
1 5 3
3 2 0
10 5
2 0 1
2 0 2
0 0 1
1 0 0
1 2 0
2 0 0
2 1 2
1 2 2
1 1 2
1 1 0
10 2
0 2 1
2 2 2
2 2 0
0 2 0
2 0 2
0 2 2
1 2 1
0 1 1
1 0 0
2 0 1
10 4
1 4 1
3 4 3
3 3 4
4 3 1
0 1 3
0 0 4
0 4 3
3 3 0
3 2 3
1 1 4
10 9
1 2 2
1 1 2
0 2 0
2 2 1
0 0 0
0 1 0
2 2 0
2 2 2
1 0 0
2 0 2
10 6
2 1 0
1 0 2
3 1 0
1 2 0
3 3 1
1 0 3
0 1 1
1 0 0
1 3 1
2 3 1
10 5
1 0 0
0 0 2
2 0 2
1 2 1
1 1 0
2 2 1
2 2 0
1 0 2
0 2 2
1 2 0
10 5
4 1 3
5 5 3
4 2 5
5 3 2
4 4 3
3 4 5
2 4 3
5 0 0
1 1 3
5 4 1
10 5
3 4 4
5 0 0
2 3 2
3 5 4
2 2 0
2 2 3
3 3 3
2 1 1
1 0 1
4 2 2
10 6
3 1 0
3 2 1
1 1 1
3 2 0
1 1 0
2 1 1
3 0 2
0 1 2
0 2 3
2 3 0
10 4
1 0 2
2 1 0
1 1 0
3 3 2
0 2 0
3 2 1
2 1 3
2 1 1
3 2 3
1 1 3
10 9
1 0 1
1 2 0
0 2 0
1 0 0
1 2 2
1 1 2
1 0 2
2 1 0
2 0 2
1 2 1
10 9
4 2 3
4 5 2
5 4 0
2 4 2
2 1 0
1 5 5
0 2 2
4 3 4
3 0 3
4 2 2
10 6
2 3 5
3 4 4
4 2 1
0 3 0
4 0 3
4 4 3
1 4 5
2 1 5
0 4 2
2 5 1
10 7
3 2 4
5 3 5
2 4 1
5 3 1
3 2 3
4 0 5
3 5 4
5 0 3
5 2 1
0 5 3
10 4
1 2 1
0 1 0
0 1 1
2 1 0
1 2 0
0 2 1
2 0 2
0 0 0
1 0 1
1 0 2
10 4
3 4 2
2 3 2
3 1 0
0 0 0
1 2 4
3 2 4
0 2 1
1 1 1
0 1 1
2 2 1
10 6
2 0 2
0 2 0
0 0 0
0 1 1
1 1 0
0 1 2
0 1 0
2 0 1
0 0 2
2 0 0
10 3
0 2 2
2 2 1
0 2 0
1 2 1
0 2 1
1 1 1
2 2 2
0 1 0
0 1 1
2 1 1
10 4
2 3 0
4 1 5
0 5 2
5 4 3
3 3 2
3 3 0
0 1 1
1 0 4
5 2 1
4 0 3
10 2
0 0 0
0 1 2
2 1 0
2 2 2
0 2 1
0 0 1
1 2 0
1 1 1
0 2 0
0 0 2
10 3
0 0 0
1 4 0
2 2 3
3 1 4
5 3 4
3 2 2
1 5 5
3 0 0
2 0 1
5 5 5
10 3
5 5 2
4 4 2
1 1 4
2 0 3
5 1 1
4 2 2
3 2 0
1 5 3
3 0 1
3 1 0
10 4
4 3 3
3 2 3
4 4 3
3 5 3
0 5 5
1 4 2
4 0 4
0 5 2
3 2 0
4 2 2
10 2
0 0 2
1 3 2
2 0 2
1 2 0
3 0 1
3 1 1
1 2 2
2 2 3
3 2 1
1 0 3
10 8
4 4 1
2 2 0
3 0 0
1 0 4
2 0 5
3 0 3
3 5 0
3 2 2
4 5 0
4 1 3
10 3
3 2 2
3 2 3
1 3 2
0 0 1
2 1 2
2 2 0
1 3 0
3 1 1
1 1 0
1 0 0
10 4
5 3 3
5 4 0
5 5 0
2 2 3
1 3 3
0 4 3
0 1 3
2 2 0
2 5 4
0 0 0
10 2
3 3 0
2 2 0
0 4 1
0 0 4
0 0 0
3 3 4
0 2 0
0 1 2
1 0 3
3 2 3
10 7
2 2 3
2 1 3
1 1 2
0 0 2
3 3 0
3 3 3
1 1 3
0 3 3
0 2 0
1 0 0
10 8
1 2 1
0 1 4
4 3 0
2 0 3
2 4 0
3 0 1
0 1 2
1 3 1
0 2 3
1 3 3
10 8
4 0 3
1 2 3
1 4 2
3 4 3
4 3 0
3 4 2
4 3 3
0 3 3
1 0 3
4 1 1
10 8
0 2 3
1 2 0
1 1 2
3 3 0
0 3 0
2 3 0
3 0 2
1 3 3
3 2 1
1 1 0
10 9
3 2 4
4 5 1
5 2 5
1 3 4
5 5 0
1 4 3
5 5 4
0 1 5
3 0 4
2 2 0
10 9
1 3 0
1 3 1
0 1 2
4 1 2
4 0 1
2 0 2
2 4 0
2 3 2
0 4 0
1 0 0
10 3
0 1 0
0 1 2
2 1 2
1 2 1
1 1 1
1 1 2
0 2 1
2 0 2
0 0 0
2 1 1
10 2
2 0 1
2 1 0
0 2 0
1 1 3
0 2 3
1 3 0
1 3 3
3 0 0
2 2 1
1 3 1
10 2
3 3 3
4 0 4
0 2 3
2 0 1
1 4 2
2 1 0
2 1 4
4 1 3
2 0 4
3 2 3
10 7
4 3 5
5 3 4
2 1 2
2 3 5
2 4 1
1 3 4
1 2 2
3 5 4
4 4 5
2 3 2
10 8
1 0 2
0 2 2
0 0 1
1 2 1
0 1 0
1 0 1
2 0 0
2 2 0
2 1 0
2 0 1
10 8
0 0 1
2 1 0
1 0 2
2 0 2
2 0 1
1 2 2
0 0 0
1 1 1
0 1 0
2 0 0
10 7
0 1 2
0 0 1
0 0 2
0 0 0
2 0 0
2 0 1
0 1 0
0 1 1
2 1 2
2 2 1
10 2
3 2 1
2 0 1
0 3 3
3 1 2
0 0 2
2 2 1
1 3 1
2 2 3
2 2 0
2 1 0
10 3
2 2 1
0 0 0
0 2 1
0 1 1
1 2 1
1 1 2
0 0 2
1 2 2
2 2 0
2 1 0
10 6
0 1 3
3 2 3
3 3 3
3 1 2
1 0 2
0 0 0
3 3 2
3 0 2
1 1 1
3 0 3
10 8
3 2 4
4 4 3
4 2 1
4 1 0
1 1 4
1 1 1
4 1 4
2 3 0
4 0 0
3 0 1
10 4
3 1 1
0 1 3
2 3 0
0 2 2
3 0 2
1 1 0
1 0 0
2 0 3
1 3 3
0 2 1
10 5
1 2 2
4 2 1
1 3 3
1 0 2
2 0 4
4 1 1
3 3 4
2 1 3
1 2 1
4 3 4
10 5
2 1 2
0 2 0
2 0 0
1 0 2
1 1 0
1 1 1
2 2 1
2 0 2
0 2 1
1 0 1
10 2
2 1 0
4 3 2
3 4 0
0 1 1
4 2 0
1 0 3
0 4 3
3 1 4
2 0 0
0 1 0
10 7
2 2 2
1 0 0
0 0 0
1 1 2
2 0 2
0 0 2
1 2 0
2 0 0
2 2 0
1 2 1
10 4
4 4 0
3 4 0
1 0 5
5 3 2
5 0 5
2 5 0
0 3 5
5 2 1
0 1 1
1 5 1
10 8
3 3 2
3 0 2
3 2 0
2 2 2
2 1 3
2 3 0
3 2 1
2 0 3
1 2 1
0 3 3
10 2
1 1 2
0 0 2
1 0 1
1 0 2
2 1 0
0 2 2
0 1 1
0 2 0
0 1 2
2 0 0
10 7
3 3 0
1 2 3
2 0 1
1 3 2
1 1 0
0 1 0
3 2 0
1 0 2
1 1 2
1 0 3
10 9
5 4 3
0 1 0
3 0 5
5 0 2
4 3 1
2 1 3
4 0 4
2 0 3
2 3 3
2 1 2
10 6
1 0 2
2 2 2
0 1 0
0 0 2
0 0 0
1 0 0
2 0 0
1 1 0
0 1 1
2 1 0
10 4
3 2 4
2 1 3
0 4 3
0 3 1
2 3 3
2 0 4
2 0 2
4 3 0
4 1 2
2 3 2
10 2
1 4 4
1 2 2
3 2 4
1 1 0
0 2 0
4 3 2
2 3 1
1 0 0
4 2 3
4 3 1
10 8
0 0 2
3 3 1
1 0 3
1 2 1
2 1 2
2 2 3
3 3 2
2 0 0
2 3 3
0 1 1
10 4
1 3 3
1 0 3
2 3 3
1 1 3
0 1 2
3 2 1
2 3 2
3 3 3
3 0 1
2 2 0
10 6
1 3 3
1 3 0
2 0 1
1 0 3
2 3 0
3 0 3
3 2 0
0 3 1
0 1 3
2 2 1
10 2
0 3 4
1 2 4
5 0 0
1 2 2
4 0 0
5 2 2
3 4 1
2 1 5
1 5 1
2 4 4
10 4
2 0 0
2 3 4
2 2 0
1 0 3
0 0 2
3 3 3
2 3 3
3 3 0
0 2 4
2 4 0
10 2
0 1 2
2 0 2
1 1 1
0 2 3
3 2 2
3 3 0
3 0 3
2 1 2
0 2 1
3 3 1
10 3
0 0 1
2 2 0
1 1 1
0 1 0
2 0 0
0 0 2
1 2 2
0 2 2
2 1 2
2 0 1
10 6
1 1 0
2 0 2
1 0 1
1 0 2
1 1 2
2 2 0
2 0 0
0 0 1
2 0 1
1 1 1
10 2
0 4 4
0 3 4
1 3 1
2 1 1
3 3 1
4 0 0
4 1 4
1 0 0
4 0 3
2 0 3
10 8
0 3 2
4 2 4
3 1 3
4 0 1
2 4 0
3 2 0
0 3 0
4 3 0
4 4 0
1 4 3
10 4
3 4 0
2 4 3
0 3 1
4 4 3
3 0 1
3 1 4
3 2 4
2 2 1
1 3 0
1 0 2
10 7
0 2 1
2 1 1
1 1 2
2 2 1
1 0 2
2 0 0
2 0 1
1 2 2
0 0 0
1 2 1
10 2
4 2 1
2 0 3
4 4 1
2 0 0
3 4 4
3 3 4
4 4 4
3 3 2
0 3 2
3 0 1
10 4
4 2 0
4 0 1
2 1 2
3 2 2
1 2 4
4 1 2
2 3 1
3 2 3
1 1 4
3 0 0
10 2
3 2 1
0 0 3
0 2 0
3 0 1
2 0 0
3 0 0
0 3 2
3 2 0
2 2 3
2 2 2
10 7
0 1 2
1 2 2
0 0 0
1 0 2
2 0 1
2 0 0
1 0 1
2 2 1
1 1 0
2 0 2
10 5
1 5 4
0 2 2
5 1 0
4 2 3
0 2 0
1 3 3
5 3 2
5 3 0
5 5 5
3 4 2
10 9
4 2 0
1 3 0
2 0 2
3 5 3
2 4 2
2 3 3
5 0 0
4 2 3
2 0 1
1 3 1
10 8
0 3 1
3 2 5
2 5 5
0 1 1
5 4 1
4 1 1
1 5 2
3 2 0
0 3 0
2 5 3
10 7
2 2 1
0 2 0
0 2 2
2 1 0
2 0 1
1 2 2
1 1 2
1 1 0
0 1 2
0 1 1
10 9
3 1 2
0 4 3
0 2 3
1 3 4
0 2 1
3 2 2
1 2 1
2 0 2
3 1 3
0 4 2
10 6
1 2 1
0 2 2
2 1 1
0 1 1
2 2 2
1 2 2
0 1 2
2 0 0
2 2 0
1 1 1
10 4
5 1 5
5 0 4
0 2 2
3 1 1
0 2 5
3 3 3
0 1 3
4 0 1
0 4 0
0 4 4
10 3
3 5 2
1 5 1
3 3 0
4 2 0
5 1 5
1 4 0
1 0 0
0 1 0
2 5 0
5 2 5
10 8
4 4 0
1 1 3
2 1 0
1 3 3
1 4 1
3 5 2
5 1 5
3 2 1
5 5 4
5 4 2
10 3
1 0 2
1 1 0
2 1 1
1 0 0
2 0 1
1 2 1
0 0 2
2 2 1
1 1 1
0 2 1
10 8
2 3 1
1 5 2
0 4 3
0 3 4
2 0 0
0 3 0
3 5 5
1 5 3
1 2 1
1 1 3
10 6
3 3 0
1 2 0
2 4 1
1 2 1
1 2 4
2 4 2
1 3 0
0 2 3
1 0 5
3 5 2
10 6
3 1 3
0 3 1
3 2 0
1 3 2
2 0 2
2 0 1
2 2 1
0 1 0
1 3 0
3 1 2
10 9
1 1 1
0 0 2
1 2 1
1 1 0
2 0 0
0 2 2
1 2 0
2 1 0
1 0 0
0 1 2
10 2
0 2 1
2 2 1
1 0 1
1 0 2
0 1 1
2 0 1
0 0 2
2 0 2
1 1 0
0 2 2
10 3
0 1 1
1 2 1
2 2 1
1 1 1
2 2 0
2 0 0
1 1 2
0 2 0
2 0 1
1 0 0
10 5
5 4 5
1 1 1
3 0 4
5 2 2
5 2 3
4 0 2
3 0 2
4 1 4
1 2 1
3 2 3
10 8
3 1 2
0 3 3
2 0 1
0 2 3
1 3 3
2 3 3
3 2 2
3 1 0
2 3 0
3 1 1
10 5
0 0 2
1 2 3
0 1 3
1 0 2
3 2 3
2 3 2
1 2 0
3 0 2
0 2 2
0 0 3
10 7
5 1 0
3 2 4
2 0 1
1 5 2
0 2 0
4 2 0
0 2 2
3 1 3
0 5 1
4 2 2
10 8
0 4 4
1 2 1
4 0 4
1 3 4
1 3 0
2 4 0
2 3 4
2 2 1
0 3 4
1 3 3
10 6
0 1 0
0 1 1
3 2 0
1 0 2
0 0 3
2 2 2
3 2 2
0 2 3
1 2 1
1 3 1
10 5
4 4 3
2 4 2
4 5 3
3 5 1
1 2 1
2 5 5
4 0 1
2 0 4
3 3 3
4 3 4
10 2
0 0 2
2 1 0
3 3 0
3 0 0
2 1 3
3 0 3
1 1 1
1 3 2
1 2 0
1 3 0
10 9
4 4 0
3 4 1
3 3 4
3 0 4
4 4 4
3 3 0
0 3 3
2 0 2
1 0 4
1 1 2
10 4
1 1 2
3 2 1
3 3 0
0 0 1
0 3 1
2 0 2
0 0 0
0 2 2
1 3 3
0 2 3
10 8
0 1 0
0 1 4
3 3 0
4 0 3
1 4 1
2 4 4
4 3 4
0 0 2
1 3 0
0 3 3
10 3
4 1 4
4 0 3
4 1 2
4 3 4
3 1 4
2 2 2
2 0 3
4 0 2
3 3 2
2 4 0
10 2
3 0 3
0 0 1
1 3 2
1 1 1
2 2 0
2 1 2
1 3 3
0 1 1
1 0 0
0 1 3
10 8
1 1 1
1 2 1
1 1 2
0 1 2
2 0 1
2 0 0
1 2 2
0 2 2
0 0 1
2 1 1
10 8
2 3 4
0 1 1
4 4 4
0 3 1
4 4 0
4 0 4
3 0 4
1 2 2
0 2 0
0 1 0
10 6
1 2 0
0 2 0
2 2 2
0 2 2
0 1 0
1 1 0
1 0 0
0 0 1
2 1 1
0 0 0
10 2
0 2 1
2 1 0
1 2 0
0 2 0
1 1 0
2 2 0
2 2 1
1 0 2
0 1 0
1 2 2
10 6
2 0 1
2 0 2
1 1 0
0 0 1
0 2 2
0 1 2
0 1 1
0 0 0
2 2 0
1 0 1
10 2
3 1 2
1 3 3
0 3 1
0 1 4
1 4 4
0 4 0
1 0 3
3 0 0
3 2 3
3 3 4
10 3
2 1 0
1 0 1
0 2 1
1 2 0
1 1 0
0 1 1
0 0 0
1 1 2
2 2 1
2 2 2
10 5
1 4 1
3 0 4
0 0 0
4 2 4
2 4 0
3 0 3
3 3 2
0 2 1
3 3 4
3 3 3
10 5
0 1 2
0 2 2
0 1 1
1 2 0
2 1 1
0 2 0
2 0 0
1 1 2
2 0 1
1 0 0
10 6
0 3 1
1 4 2
3 0 2
4 0 0
0 4 0
2 2 1
2 3 2
4 1 3
0 4 2
1 4 0
10 6
0 2 0
1 0 2
0 1 2
2 0 2
2 2 1
1 0 1
0 0 0
0 2 1
2 1 1
1 1 1
10 3
3 1 1
2 3 2
1 1 1
0 3 2
0 2 1
1 0 3
1 1 3
2 2 1
1 0 1
2 2 3
10 3
0 3 1
2 1 3
0 0 0
0 1 2
1 3 3
3 2 1
2 2 0
0 3 4
4 0 3
2 1 2
10 4
0 1 0
2 0 2
0 0 2
1 1 0
1 0 1
2 2 1
0 2 1
0 1 2
2 2 0
1 1 2
10 7
3 4 3
5 5 2
0 5 3
3 1 3
4 3 5
4 4 0
2 0 5
1 2 5
0 3 3
3 3 4
10 3
1 1 0
5 2 3
2 1 1
4 3 4
4 4 1
1 3 0
1 4 3
0 1 2
1 5 1
4 4 5
10 2
2 0 0
3 0 3
2 4 0
0 4 2
1 0 1
4 1 0
1 4 2
1 2 4
4 0 0
4 2 3
10 6
5 0 1
0 0 2
3 2 0
5 1 3
4 1 3
4 5 1
3 5 2
4 0 2
4 2 5
5 2 1
10 9
2 1 1
3 0 4
3 3 2
4 0 4
4 0 0
3 2 1
0 2 0
1 3 0
3 0 3
0 4 1
10 6
5 2 5
4 0 0
1 1 2
4 5 3
1 3 2
1 2 3
3 5 0
4 1 3
2 2 2
3 1 1
10 8
1 3 4
2 4 0
0 1 2
0 1 1
3 4 0
0 0 3
3 1 3
1 2 0
4 3 2
4 4 3
10 8
5 0 2
1 0 0
0 5 0
2 4 1
0 2 5
1 0 5
1 1 1
2 4 2
2 3 2
5 0 0
10 8
5 1 4
1 5 1
3 3 1
1 2 4
1 1 2
3 3 4
4 1 4
0 1 4
5 4 3
3 4 3
10 5
0 2 0
0 0 0
1 2 0
1 2 1
0 0 1
0 2 1
0 1 0
0 0 2
1 2 2
0 1 1
10 4
1 2 2
3 1 3
0 3 1
1 2 0
3 0 1
2 0 1
2 1 1
1 3 0
0 1 2
3 3 2
10 5
2 0 0
0 2 1
0 2 3
3 3 0
1 2 0
1 2 1
1 2 3
3 0 2
3 3 2
2 1 3
10 4
3 3 2
3 1 4
1 2 3
1 0 4
3 3 0
3 2 1
0 1 0
0 3 4
0 0 2
3 2 2
10 7
1 5 0
4 3 3
5 2 4
5 0 2
3 5 2
3 3 0
4 1 4
0 2 5
5 2 1
4 5 2
10 5
0 4 2
0 3 1
1 3 0
2 1 0
3 3 4
3 0 0
1 4 0
2 1 4
3 0 4
1 0 2
10 3
2 5 5
2 3 0
3 5 3
0 2 4
5 1 1
5 0 4
2 1 5
5 5 1
1 1 3
2 4 5
10 7
2 1 2
2 2 2
0 0 1
2 0 1
1 0 2
0 0 2
1 1 2
1 2 2
0 0 0
1 0 0
10 6
3 0 1
1 0 0
2 3 1
2 3 2
2 2 0
2 2 3
0 0 1
3 0 0
3 2 1
1 0 3
10 4
2 2 3
4 2 1
0 1 2
4 2 0
2 4 3
2 0 2
1 0 3
4 3 0
4 3 4
0 2 0
10 5
3 2 1
2 1 0
0 3 2
3 4 1
5 0 4
1 4 4
3 1 0
1 4 3
0 3 1
0 5 1
10 9
1 0 2
2 1 0
1 1 2
1 0 1
1 2 2
1 2 0
0 0 1
2 0 2
0 2 1
2 2 1
10 8
0 0 2
2 0 0
1 2 2
3 3 2
1 3 2
2 2 2
1 0 1
3 1 2
2 3 0
0 0 3
10 3
1 0 2
2 2 0
0 0 0
0 0 1
1 2 2
2 0 1
3 1 0
3 1 1
0 1 0
2 0 0
10 7
4 1 0
4 2 0
5 4 2
4 0 2
4 4 0
0 0 5
4 3 1
1 5 1
3 3 5
0 4 1
10 6
0 2 1
1 1 3
0 0 3
1 0 2
1 3 0
3 1 1
1 0 0
0 3 2
2 2 3
3 1 2
10 7
2 2 2
2 1 0
0 0 3
2 1 2
1 2 0
1 0 3
3 0 0
0 3 3
2 3 3
2 0 0
10 4
1 1 0
0 1 2
1 2 1
0 1 1
1 1 2
0 2 0
1 1 1
2 2 0
1 2 0
0 1 0
10 3
4 1 0
5 2 5
3 0 4
3 2 3
3 3 4
1 4 1
5 1 3
1 2 1
1 1 1
3 0 5
10 7
0 3 0
2 0 3
2 0 0
4 1 2
1 3 1
3 2 1
4 2 2
0 0 3
3 2 0
0 4 4
10 5
0 5 0
0 5 1
4 3 2
5 4 1
3 0 1
3 3 2
4 4 5
5 1 1
1 3 5
4 5 0
10 4
1 0 1
0 1 0
0 0 0
2 0 1
2 0 0
1 1 1
2 2 1
2 1 1
0 0 2
1 2 0
10 3
3 0 3
1 2 0
0 0 3
3 1 0
3 3 3
0 3 2
1 3 2
0 0 2
0 0 0
2 0 1
10 5
1 0 2
1 2 0
0 2 2
0 1 1
0 0 2
0 1 2
1 0 0
2 0 2
2 2 2
2 0 1
10 8
0 0 0
2 2 2
2 3 2
0 2 3
2 0 3
2 2 1
0 2 1
2 0 1
0 0 1
0 1 2
10 3
1 2 0
1 1 2
4 0 1
0 5 1
2 0 5
5 4 4
2 0 4
2 5 3
4 3 5
3 1 4
10 4
1 1 4
0 4 1
3 4 5
5 2 5
1 5 2
3 2 4
1 4 0
2 3 4
2 0 2
3 1 1
10 9
3 1 0
0 1 2
1 0 2
1 2 2
1 0 3
1 1 0
2 3 2
2 3 0
1 2 0
3 0 1
10 5
0 1 2
2 0 2
0 1 1
0 2 2
1 1 1
2 1 2
0 0 1
2 2 1
0 0 0
1 1 2
10 7
3 2 1
4 3 2
2 0 5
3 2 0
3 5 2
2 0 4
2 0 0
2 5 4
3 3 1
3 5 4
10 4
5 4 3
2 5 4
5 4 4
3 4 1
0 1 1
5 5 3
0 5 3
2 3 0
5 0 5
3 5 1
10 4
0 0 3
1 0 3
1 1 1
1 3 0
0 3 3
0 3 1
1 1 0
2 2 0
3 1 2
0 2 2
10 2
5 2 2
3 3 2
4 4 3
5 2 0
2 4 2
1 1 2
3 3 1
4 3 4
4 2 2
5 4 3
10 4
3 3 1
1 0 3
1 3 0
3 0 2
3 2 0
0 2 1
2 0 1
0 3 1
2 2 0
0 0 0
10 5
3 3 3
0 2 2
2 2 2
0 1 0
0 3 2
2 0 1
2 1 1
2 0 0
3 1 1
3 0 1
10 6
0 5 1
4 4 4
4 0 5
2 5 4
0 3 5
0 1 5
3 4 0
0 3 0
4 3 5
0 5 4
10 7
1 4 3
2 2 1
4 4 3
0 3 0
2 3 3
1 2 2
3 2 4
1 4 4
1 3 1
0 4 0
10 6
0 1 2
0 0 0
1 0 3
0 3 2
1 3 1
3 3 0
1 3 2
2 2 3
0 0 2
3 0 1
10 7
1 2 0
0 1 1
1 2 2
2 2 0
0 2 0
0 0 1
1 0 2
1 0 0
2 1 2
1 1 2
10 9
3 1 2
1 1 0
1 1 2
2 1 3
1 3 0
0 3 4
2 3 2
3 4 1
3 0 3
4 2 1
10 7
2 4 1
3 0 2
2 2 4
0 4 1
3 2 3
1 3 4
2 1 3
4 1 2
3 3 1
0 0 4
10 6
5 0 5
5 3 1
0 0 5
5 0 2
2 3 5
3 5 1
0 4 3
5 4 5
1 5 2
5 2 0
10 7
1 2 2
2 0 1
3 1 1
2 2 0
3 0 0
2 0 2
3 2 3
0 2 1
3 1 3
3 3 2
10 3
1 2 0
0 2 2
1 2 2
1 0 2
1 2 1
2 0 2
0 0 1
2 1 0
0 2 0
0 0 2
10 2
4 0 2
1 3 3
2 0 0
3 0 4
4 0 3
1 1 0
1 0 3
3 0 3
1 0 4
3 2 4
10 5
1 2 0
3 2 0
3 1 0
1 1 0
3 1 1
1 0 2
3 2 3
1 3 1
3 2 2
2 3 0
10 6
0 0 2
1 1 0
1 0 0
0 2 2
1 2 2
2 0 2
2 1 2
0 2 1
0 0 1
1 0 1
10 9
3 4 1
4 4 0
1 2 0
2 2 4
4 2 2
4 2 3
3 4 3
2 4 4
0 4 2
0 1 0
10 3
2 1 3
3 4 3
4 2 0
1 0 1
2 3 3
2 0 1
1 2 2
4 1 0
2 3 0
2 4 4
10 7
0 0 0
2 1 1
2 1 2
1 2 1
1 2 2
1 1 1
2 2 1
1 0 1
0 2 0
1 1 0
10 7
3 3 1
4 3 3
2 4 2
2 3 2
3 4 4
0 2 0
2 4 0
3 0 4
4 0 1
2 0 4
10 6
4 3 5
5 4 3
3 5 1
4 1 2
1 5 3
3 3 3
2 2 0
4 1 3
0 3 5
4 4 4
10 6
3 1 1
3 3 1
2 3 1
5 3 4
1 2 4
2 5 4
2 3 0
2 0 2
4 1 1
2 2 1
10 2
3 2 1
3 3 4
0 0 1
3 1 1
2 4 4
0 4 1
1 4 1
1 3 3
2 0 2
0 3 0
10 5
0 3 1
1 3 0
0 0 2
2 3 0
2 1 3
0 1 2
3 3 2
0 2 1
0 3 3
1 2 3
10 3
1 0 1
1 0 2
0 1 2
1 2 0
0 2 2
0 2 1
0 1 0
1 1 2
2 2 2
1 1 0
10 6
0 0 1
2 2 1
1 2 0
1 2 1
0 1 1
2 0 2
0 2 2
2 2 2
1 0 1
1 1 2
10 5
2 2 1
1 2 1
3 2 4
4 2 1
0 1 0
0 3 3
2 4 3
3 0 4
3 4 3
3 3 4
10 8
5 3 0
3 2 3
0 4 3
2 2 3
4 5 0
4 2 2
0 3 1
3 1 3
1 1 0
4 1 1
10 9
1 3 2
2 2 2
2 2 0
0 3 0
2 1 2
0 2 3
1 1 0
4 4 4
4 0 0
1 0 2
10 3
0 1 1
4 2 1
3 4 1
4 2 3
1 3 2
4 4 0
4 3 2
1 4 3
0 0 0
2 0 3
10 6
1 1 2
0 0 3
0 1 0
2 1 0
0 2 3
3 3 3
3 2 0
1 1 3
2 1 1
0 1 1
10 8
0 2 2
0 1 1
3 0 1
3 1 2
1 2 0
3 3 2
2 1 0
0 1 0
2 1 2
1 0 2
10 3
2 2 2
3 1 3
0 1 3
2 0 2
3 4 2
4 3 4
2 1 0
1 0 0
0 3 4
3 2 2
10 4
0 1 1
4 4 1
0 4 3
2 5 4
0 5 0
4 1 2
5 0 1
1 5 0
1 0 2
1 3 3
10 5
2 2 2
1 1 0
0 1 2
2 0 2
2 2 1
0 2 0
0 0 0
2 1 0
0 1 1
2 2 0
10 8
1 3 3
3 3 4
2 4 4
4 4 2
1 4 3
0 2 1
2 0 3
1 2 0
0 4 1
0 3 3
10 5
4 3 4
0 0 0
0 0 3
0 1 4
1 0 0
0 4 4
3 3 4
4 1 0
3 3 0
0 0 4
10 6
1 4 3
1 1 2
4 3 1
0 2 0
2 4 3
1 3 4
3 3 4
4 4 2
4 1 3
1 1 4
10 4
2 2 2
3 4 1
3 3 3
0 1 3
1 1 1
4 2 1
0 3 2
1 0 0
0 0 4
4 2 0
10 5
0 4 1
4 3 3
0 2 5
5 3 1
1 2 3
5 3 4
5 0 4
1 5 1
3 1 2
5 3 2
10 3
2 3 0
3 2 0
1 1 4
2 1 4
2 3 1
0 4 0
3 3 4
0 3 4
0 2 4
1 1 2
10 3
1 0 0
0 0 4
1 3 0
3 2 0
2 1 2
3 4 2
4 4 2
2 3 0
1 3 2
0 3 4
10 8
0 3 4
1 5 3
3 1 3
5 1 4
0 3 3
5 3 5
3 5 5
2 2 1
3 0 5
4 0 1
10 8
3 1 2
3 2 3
0 1 2
0 3 1
2 0 0
1 1 0
3 1 3
2 0 2
3 3 2
2 1 3
10 6
2 1 1
0 0 2
1 2 2
1 1 0
0 0 0
1 1 1
1 0 1
1 1 2
2 1 2
1 2 0
10 3
4 1 2
0 2 4
4 3 0
3 1 3
2 3 2
1 0 2
1 2 1
2 3 1
3 0 4
0 1 4
10 6
2 0 2
2 2 0
2 2 2
1 0 1
1 2 1
1 0 2
1 1 2
2 0 1
2 1 0
1 1 0
10 6
3 0 2
1 3 1
1 1 3
0 1 2
2 0 3
2 0 0
2 1 1
0 2 1
3 2 1
2 3 0
10 3
0 3 2
3 2 2
2 0 0
0 3 0
3 0 3
3 3 1
0 2 2
1 0 0
2 2 0
0 0 2
10 5
2 0 2
2 1 0
3 1 2
0 0 2
0 0 1
3 0 3
1 0 2
2 3 3
0 3 3
0 3 1
10 5
5 1 1
2 5 5
4 2 4
5 5 0
0 5 4
5 0 5
0 3 5
4 5 1
4 2 1
2 2 2
10 7
4 4 2
2 3 1
1 0 2
2 0 4
4 1 4
3 1 2
4 3 4
3 2 0
1 0 4
4 4 0
10 2
0 0 3
3 0 1
3 2 1
2 2 1
1 3 0
0 3 0
2 1 0
0 2 0
2 2 0
2 3 3
10 5
0 1 2
1 0 0
1 0 1
1 2 2
2 2 2
1 0 2
1 1 1
1 1 2
0 2 0
0 1 0
10 5
1 2 1
1 2 3
1 2 2
0 2 0
3 1 3
0 1 2
0 1 3
2 2 2
3 1 0
0 3 3
10 2
1 3 5
3 1 5
5 0 3
4 5 0
1 4 2
5 3 1
1 3 3
3 0 4
4 0 1
1 1 5
10 4
3 2 3
3 3 2
1 0 1
1 0 3
3 0 2
0 2 3
2 3 0
1 1 2
0 1 2
2 1 0
10 7
0 3 0
1 2 3
2 2 0
3 4 1
0 1 5
0 0 0
4 3 3
3 4 5
1 5 0
4 5 0
10 5
0 0 0
1 1 1
1 0 2
1 0 0
2 0 1
0 1 2
1 2 2
0 1 1
2 2 2
2 0 2
10 9
1 0 2
3 3 1
3 2 0
3 0 0
3 2 3
0 3 2
1 2 0
1 2 2
0 3 3
1 3 1
10 6
1 0 4
1 2 3
3 2 0
0 0 4
3 0 4
1 4 2
3 0 1
0 3 1
3 4 4
0 0 0
10 4
3 3 2
3 2 0
0 0 1
1 1 0
2 0 1
1 1 1
0 3 1
1 3 2
0 2 2
0 2 1
10 6
2 2 0
3 0 1
0 1 3
0 3 1
3 2 3
1 3 2
1 2 1
0 0 2
2 3 3
2 3 1
10 9
2 3 3
0 1 2
0 3 0
0 2 3
1 0 2
2 0 2
0 3 1
3 0 2
2 0 3
3 1 2
10 2
0 2 1
1 2 0
3 1 1
0 2 3
1 1 3
0 1 3
3 2 1
2 1 2
0 1 1
1 1 2
10 5
4 4 1
2 1 2
3 4 2
2 4 4
4 3 4
1 0 1
0 0 2
0 1 2
1 3 0
0 4 1
10 9
0 2 1
3 0 1
3 1 3
1 0 1
3 0 2
2 0 0
3 4 3
1 2 0
0 4 4
1 1 2
10 6
3 0 1
1 2 2
0 1 2
1 0 1
0 2 2
3 3 3
1 0 3
1 2 3
0 0 1
2 2 1
10 7
0 0 0
0 1 0
0 1 2
0 2 0
2 1 2
2 1 0
0 0 1
1 2 0
2 0 0
1 2 2
10 8
5 5 5
3 3 1
3 0 2
4 3 5
0 4 4
2 4 1
3 3 2
2 0 0
3 4 2
1 4 4
10 5
3 0 1
1 1 3
2 0 2
0 2 2
3 2 1
0 2 3
0 1 2
2 3 2
0 3 1
1 3 1
10 3
3 3 4
0 3 1
4 0 4
3 1 3
4 4 0
3 4 3
3 3 1
1 2 3
3 0 4
3 3 3
10 8
0 3 1
0 4 2
0 4 0
4 3 3
4 1 3
4 0 3
4 0 2
1 2 4
0 1 4
4 1 4
10 9
1 2 0
1 2 2
2 0 0
1 0 0
2 0 2
0 2 1
1 1 2
0 1 2
0 0 0
2 1 2
10 7
0 2 1
0 3 0
3 0 0
2 0 1
0 1 1
1 2 1
2 0 3
2 1 0
0 2 0
3 0 2
10 7
0 2 3
3 1 3
1 1 1
0 0 1
3 3 2
1 2 0
0 2 2
2 2 0
1 1 0
2 2 2
10 6
5 5 5
2 2 2
3 3 4
3 0 3
3 3 1
3 5 0
2 4 5
0 4 2
1 1 0
4 0 3
10 9
1 0 3
1 3 2
0 3 2
2 3 2
0 3 3
2 0 2
3 0 2
0 2 1
2 3 3
3 0 0
10 7
3 1 3
4 1 0
4 2 5
5 1 1
4 3 4
5 3 4
4 2 1
4 0 5
3 2 3
2 4 0
10 5
2 0 1
0 1 1
1 1 0
1 0 0
2 1 0
1 0 1
2 2 1
2 0 0
1 2 0
0 1 2
10 3
2 4 1
2 1 1
1 0 2
3 4 2
2 3 4
2 3 2
3 1 4
1 1 0
2 0 0
1 2 3
10 5
1 1 0
2 2 2
1 0 2
1 2 1
0 2 2
1 0 1
0 0 0
2 0 1
0 1 0
0 2 0
10 8
1 1 1
1 0 1
0 2 0
0 2 1
0 1 2
1 1 2
2 0 0
0 2 2
1 2 2
1 2 0
10 3
0 2 0
2 0 1
1 1 2
1 2 1
1 0 0
0 0 1
2 2 1
2 2 2
1 2 2
0 0 0
10 4
2 5 5
2 5 3
3 1 4
5 2 4
2 3 4
2 1 2
2 2 5
3 1 5
3 2 2
5 0 3
10 2
2 3 2
4 2 3
4 2 4
0 2 2
0 4 4
1 4 0
1 0 4
3 4 0
0 4 3
3 0 0
10 3
2 1 1
1 3 0
5 1 1
1 1 5
5 1 5
5 5 5
2 5 4
2 1 2
4 5 2
4 0 1
10 9
5 4 5
1 3 1
5 5 0
2 3 0
3 2 1
2 2 1
0 4 4
2 4 2
0 0 0
2 4 4
10 3
5 4 3
4 2 5
2 4 0
3 3 1
3 0 4
3 2 1
2 3 3
4 0 1
1 5 1
5 1 5
10 2
0 2 1
1 1 0
1 0 2
0 2 2
2 0 0
2 0 2
1 2 2
2 0 1
1 1 2
2 1 1
10 7
0 2 0
0 0 0
3 3 0
3 2 2
0 1 3
0 3 1
0 3 2
3 0 2
0 1 2
1 1 3
10 3
2 2 2
0 1 0
1 2 1
2 0 1
0 2 2
1 1 2
1 1 1
0 0 1
1 1 0
0 2 1
10 8
3 1 0
3 0 0
2 3 1
0 1 2
1 3 2
3 0 1
3 2 3
0 2 1
1 0 1
2 0 1
10 6
2 4 4
0 0 3
0 2 0
4 2 3
4 0 3
1 1 4
2 2 3
2 0 2
1 3 3
1 0 2
10 3
1 4 4
4 0 3
0 2 3
2 1 2
2 4 4
4 3 1
4 0 4
2 0 0
0 4 4
4 4 3
10 8
3 0 3
0 0 4
1 3 0
4 1 1
0 2 1
3 4 1
1 2 1
2 3 0
4 2 1
1 2 2
10 4
4 1 0
0 1 1
4 4 0
1 4 3
3 2 4
1 0 2
4 1 4
3 4 2
1 1 0
3 1 4
10 9
1 2 0
4 3 3
0 4 1
1 1 0
2 0 2
0 1 3
4 3 2
0 0 1
0 2 3
2 4 2
10 7
4 4 3
2 3 2
3 4 0
1 1 2
2 2 2
2 4 3
0 3 0
1 0 3
0 2 0
2 1 3
10 2
0 4 1
3 0 4
4 4 4
2 1 3
0 4 3
3 2 3
4 1 3
4 1 1
1 2 4
4 1 4
10 8
3 0 5
2 2 4
5 3 2
1 2 3
3 3 2
2 2 3
2 5 1
1 0 4
4 4 3
0 1 0
10 8
0 1 1
0 0 0
0 0 2
0 2 0
2 2 1
1 1 2
2 2 0
0 0 1
2 2 2
1 2 2
10 3
1 2 0
1 1 5
0 3 4
4 2 0
0 4 4
0 5 4
4 0 3
2 2 4
0 1 4
4 3 0
10 7
4 2 1
4 0 4
4 2 4
1 0 3
2 2 5
0 1 0
2 5 3
3 1 4
3 4 5
5 2 4
10 2
1 0 2
1 2 2
1 0 0
2 1 1
0 0 0
0 2 0
1 2 0
1 0 1
0 0 2
0 1 2
10 8
1 1 1
2 0 0
0 0 1
2 2 0
0 0 0
2 1 0
1 0 2
0 1 0
0 1 1
2 1 2
10 9
1 0 0
1 1 2
0 1 2
2 0 0
2 2 1
0 1 1
1 2 1
0 1 0
1 1 0
0 0 0
10 7
2 1 5
3 0 0
2 5 4
5 4 3
3 2 5
2 2 4
0 5 0
0 4 5
3 4 4
1 2 3
10 2
1 4 3
0 4 0
1 2 3
0 5 2
3 4 5
3 3 2
1 5 4
1 0 1
5 3 1
3 1 0
10 2
1 2 0
2 0 0
1 0 0
1 1 1
1 1 0
2 0 1
0 2 1
0 0 2
1 2 1
0 0 1
10 4
0 2 0
2 1 1
0 2 2
2 0 2
2 1 2
1 0 0
0 0 0
0 0 2
0 0 1
0 2 1
10 8
1 2 2
0 0 2
2 0 1
0 1 2
0 2 0
2 2 0
2 0 2
2 2 2
2 2 1
1 0 2
10 6
1 1 0
1 0 2
0 1 2
2 2 2
2 0 2
2 0 0
0 0 2
1 0 1
2 1 0
1 1 1
10 8
1 2 2
0 1 2
2 1 3
2 2 3
1 2 0
1 3 1
2 0 0
0 1 0
1 1 3
3 0 2
10 7
4 2 0
1 3 3
0 2 3
1 0 3
2 1 0
3 0 3
1 1 4
2 0 4
3 2 4
1 2 0
10 6
4 0 1
3 0 0
1 4 2
3 3 4
0 2 1
4 0 3
1 2 4
1 0 3
0 0 3
3 0 2
10 6
1 0 0
1 2 0
0 1 2
1 2 1
2 0 1
1 2 2
0 2 2
2 1 1
0 0 0
1 0 2
10 2
4 5 2
5 3 3
3 2 0
1 2 4
0 1 4
0 3 4
3 0 2
0 0 3
1 4 1
4 4 2
10 3
0 3 3
5 3 5
0 4 5
5 2 3
5 3 2
5 1 4
0 2 3
0 1 1
5 3 3
0 4 2
10 4
0 1 0
0 2 2
2 1 2
0 2 0
0 0 2
1 1 0
0 1 1
2 2 0
2 2 1
1 1 2
10 8
3 5 4
4 2 0
4 2 1
1 1 2
4 3 0
4 5 0
0 2 1
2 3 1
5 0 1
3 1 0
10 8
2 5 3
5 4 0
2 4 0
5 2 2
5 1 3
4 5 4
3 0 1
5 1 5
1 4 2
0 2 4
10 9
4 0 4
1 2 0
2 1 2
1 0 1
1 3 1
4 0 1
0 2 4
0 2 1
4 3 4
0 1 2
10 5
3 5 2
0 3 5
3 5 0
2 0 5
0 2 2
3 1 2
5 0 5
5 3 3
4 0 3
5 3 4
10 6
0 5 3
4 0 5
2 1 4
0 3 4
0 1 5
5 3 0
4 3 4
2 4 5
3 1 3
0 0 4
10 7
0 4 2
2 4 4
3 0 2
2 1 0
2 4 1
0 3 0
4 0 0
1 4 3
0 2 0
0 0 3
10 3
1 3 3
1 2 5
2 1 5
2 5 5
4 0 4
2 3 0
4 1 1
0 0 3
2 2 5
4 1 2
10 9
0 3 0
0 2 2
0 3 1
0 1 0
3 2 3
0 1 1
1 2 2
0 3 3
0 3 2
2 1 2
10 2
2 2 0
2 1 0
4 3 2
2 2 4
4 3 0
0 0 4
3 3 1
2 0 3
1 3 0
0 2 0
10 3
2 3 1
3 0 0
0 2 0
2 3 2
3 2 0
2 2 3
2 2 0
3 0 3
1 0 1
0 3 2
10 9
2 2 0
1 1 5
3 4 3
3 2 5
1 4 1
2 0 3
4 5 0
5 5 3
1 4 5
5 1 0
10 6
2 3 0
3 3 0
3 0 3
2 1 1
1 2 2
2 2 0
0 0 3
3 3 1
3 2 3
1 2 0
10 8
1 1 1
1 0 0
2 1 0
2 1 1
1 1 0
1 2 2
0 1 2
1 2 1
2 1 2
2 2 0
10 3
0 1 1
0 2 0
1 2 0
0 1 2
0 1 0
0 2 2
2 2 1
2 2 2
2 0 2
0 0 0
10 9
5 1 5
4 4 3
4 1 4
4 3 2
3 2 1
3 0 1
5 0 0
2 4 5
2 1 5
3 2 4
10 9
4 2 0
2 4 0
3 1 3
0 0 4
1 3 4
1 1 3
0 3 0
2 3 4
2 4 4
4 3 2
10 2
2 1 3
0 1 0
1 1 0
2 0 2
3 1 2
1 1 1
0 3 1
2 3 0
2 0 1
0 1 2
10 8
1 2 2
1 1 2
0 1 1
0 1 0
1 1 1
1 0 0
1 2 1
2 1 1
2 0 1
0 2 2
10 4
0 4 1
2 2 1
0 2 2
3 0 2
3 1 2
2 3 3
4 1 2
0 1 2
2 4 2
0 2 3
10 3
1 0 3
2 0 1
0 0 2
3 2 0
2 0 2
3 3 0
3 1 2
3 2 2
1 2 3
0 1 0
10 6
1 4 4
4 2 2
0 5 0
3 5 3
3 1 4
1 0 0
2 5 4
1 0 3
2 2 0
4 0 4
10 6
0 4 3
3 4 2
2 3 0
2 1 4
2 1 3
3 3 2
4 0 0
4 1 0
2 2 2
3 4 3
10 8
2 1 0
2 3 3
0 2 1
3 0 1
2 1 3
1 3 1
1 0 3
0 1 0
2 2 2
3 0 0
10 5
5 0 4
1 3 3
1 5 1
1 3 0
5 0 5
0 3 1
0 4 5
5 1 1
5 3 0
1 2 2
10 6
1 2 1
0 1 2
1 2 0
1 0 0
2 2 2
1 2 2
0 1 1
0 2 2
0 0 0
2 2 1
10 5
1 3 2
0 1 3
2 3 1
2 2 2
1 3 0
3 1 3
0 3 2
3 2 0
3 2 2
1 3 1
10 6
1 2 1
2 1 3
2 1 0
1 1 3
2 3 1
3 0 0
2 2 2
3 3 0
0 1 0
1 3 1
10 8
0 3 0
4 3 1
5 3 0
2 0 0
1 1 0
0 5 4
1 1 5
2 3 3
5 4 2
3 5 3
10 7
2 0 1
0 0 0
2 0 2
2 1 0
0 0 2
1 0 1
1 2 0
2 2 2
2 2 0
2 1 1
10 5
3 5 1
2 3 3
1 3 1
0 1 5
3 2 0
5 1 1
5 3 3
2 0 1
2 1 4
2 4 0
10 5
0 3 3
3 3 3
4 1 2
2 2 0
3 3 2
3 2 0
1 1 2
1 3 2
1 1 4
3 3 4
10 2
3 3 0
1 0 3
4 1 3
3 2 0
2 1 1
2 2 2
1 1 4
1 2 2
0 4 1
0 2 1
10 7
1 3 1
2 0 3
0 1 0
1 2 0
2 3 1
4 0 1
1 0 1
3 0 1
2 0 1
4 4 4
10 3
0 0 1
0 0 2
1 1 0
1 2 0
2 1 2
2 1 0
1 1 1
0 2 0
1 0 0
2 1 1
10 5
4 3 3
2 4 3
3 1 4
0 2 3
0 2 0
2 3 4
3 4 2
2 0 0
3 0 2
1 0 4
10 8
0 0 3
1 3 3
5 0 4
3 0 5
3 1 1
3 5 4
2 4 5
2 3 4
5 2 3
5 1 2
10 8
1 1 2
0 1 2
1 1 1
2 2 0
1 0 1
2 0 0
0 1 1
0 1 0
0 2 0
1 1 0
10 6
2 0 2
0 0 0
0 2 2
2 2 2
0 0 2
0 1 2
1 2 1
1 0 0
2 2 1
0 0 1
10 9
1 1 2
0 0 1
1 2 0
0 1 0
0 2 1
2 1 1
2 2 0
1 0 1
1 1 0
0 0 2
10 2
0 1 0
0 1 1
2 0 0
2 1 0
0 0 1
2 1 1
1 0 2
1 1 1
0 2 1
2 0 2
10 2
3 3 2
1 2 1
2 0 1
2 1 0
1 2 3
1 1 0
3 0 1
3 1 1
2 3 1
3 2 0
10 4
1 5 1
4 1 3
2 5 5
4 3 1
4 3 4
0 4 5
4 2 5
0 0 2
3 2 2
3 4 2
10 2
1 4 3
4 2 2
1 2 3
3 4 2
1 4 4
4 0 2
3 3 4
0 0 4
3 1 2
3 1 3
10 7
0 2 0
2 1 0
2 2 0
0 1 0
0 1 2
0 2 1
2 1 2
1 2 2
1 2 1
2 2 1
10 8
4 3 4
4 2 0
4 1 3
0 4 0
2 2 3
1 1 1
1 3 1
0 3 2
1 2 4
4 0 2
10 9
2 0 0
0 1 2
4 4 2
4 3 0
4 3 3
1 1 4
3 3 2
2 3 1
4 4 1
3 2 0
10 5
3 2 4
0 3 4
3 2 0
0 2 4
2 1 3
1 4 4
2 3 1
0 0 4
1 1 4
3 1 1
10 6
4 4 0
3 5 2
5 1 3
3 2 2
3 2 5
1 2 5
2 0 3
4 5 3
1 5 5
5 4 3
10 4
2 1 2
1 2 2
1 0 1
1 2 1
0 0 1
0 2 0
2 0 0
1 1 2
0 1 0
0 1 1
10 2
2 2 0
2 3 2
3 1 4
4 1 2
1 4 1
3 4 1
4 3 3
4 1 4
1 4 0
0 1 1
10 9
1 2 0
2 0 0
1 2 2
0 0 0
0 1 0
2 1 1
2 0 1
1 0 1
0 1 2
1 0 0
10 5
3 0 0
0 3 0
4 3 1
0 0 1
4 1 2
0 4 3
4 0 3
1 3 4
1 0 1
4 4 2
10 5
0 2 0
2 0 1
0 1 2
0 0 0
0 2 1
2 1 0
2 1 1
1 1 1
0 0 1
1 1 0
10 9
1 0 4
5 1 3
1 0 1
1 5 1
1 4 1
2 2 0
0 2 2
3 0 0
5 3 5
4 0 5
10 5
2 2 4
5 5 2
0 1 1
2 5 1
3 2 2
0 1 5
0 2 0
3 3 2
2 4 1
0 2 3
10 5
5 1 5
1 0 4
5 1 3
5 3 2
4 5 3
0 3 0
3 2 2
1 0 0
4 4 1
0 0 5
10 3
1 2 3
2 2 2
3 1 1
0 2 2
3 3 0
0 1 0
3 3 1
2 1 2
1 1 2
2 0 0
10 3
5 3 4
2 4 1
0 3 5
3 0 1
3 0 3
4 1 3
2 5 1
4 1 4
0 0 1
1 1 3
10 3
3 4 3
2 1 5
0 3 5
3 1 4
3 2 5
5 5 4
2 2 2
4 3 4
4 3 2
4 3 1
10 2
0 0 3
0 4 0
4 2 3
1 2 3
2 3 3
3 4 1
2 2 2
2 2 0
3 1 3
2 4 0
10 2
2 0 0
1 1 1
1 1 2
0 2 0
0 2 1
1 0 1
1 1 0
2 1 0
2 2 0
2 2 1
10 4
3 0 2
2 1 0
3 4 2
2 2 2
3 4 0
2 4 3
2 1 4
4 4 4
0 2 1
3 3 0
10 6
1 1 2
0 2 2
0 0 1
2 0 1
2 0 0
1 2 2
2 0 2
1 2 1
2 1 1
0 0 0
10 9
0 5 0
3 2 5
4 3 2
0 2 2
2 3 3
1 0 2
4 5 4
5 2 0
1 4 2
4 1 1
10 8
2 2 2
2 2 1
1 1 2
1 1 0
0 2 2
0 1 0
1 0 0
1 2 0
0 2 0
2 2 0
10 7
2 4 2
0 0 1
4 3 1
1 2 0
4 2 0
0 4 3
4 3 3
1 3 3
0 5 1
0 2 5
10 6
2 1 1
2 0 0
2 2 2
0 1 1
1 1 1
1 0 2
2 2 1
1 2 2
2 1 0
2 0 1
10 5
0 3 2
1 3 1
1 3 3
2 2 3
2 0 0
2 0 2
0 0 1
0 2 0
0 2 1
1 0 0
10 7
1 3 0
0 3 2
2 3 0
0 3 1
1 0 2
2 3 3
3 2 3
1 1 0
1 3 2
3 2 2
10 5
1 0 2
3 1 1
3 1 2
0 0 3
1 1 3
1 2 2
3 3 1
1 2 0
1 0 3
1 3 1
10 5
4 3 2
5 1 0
4 4 2
2 3 2
2 2 4
5 3 4
3 5 5
0 3 1
3 4 4
4 3 0
10 8
0 0 5
3 5 0
5 2 2
0 1 1
4 5 5
2 0 5
4 1 2
0 2 5
4 3 5
4 0 1
10 8
0 1 0
3 0 0
3 1 0
3 2 2
0 1 3
2 3 0
3 1 1
0 3 3
0 2 2
0 3 0
10 9
2 0 5
1 4 4
3 3 1
2 5 1
5 4 5
1 3 5
2 2 4
3 3 2
1 4 5
0 0 0
10 4
5 1 2
0 5 1
1 5 5
1 2 2
2 1 4
0 4 4
2 5 4
3 5 1
2 0 5
4 2 3
10 4
0 1 0
0 1 1
2 0 1
2 1 1
0 0 0
1 2 2
2 0 2
1 1 1
1 2 1
2 2 2
10 5
0 2 2
2 1 1
1 1 2
0 1 2
0 2 0
2 0 0
2 1 0
0 0 2
1 0 0
0 0 0
10 6
1 0 2
0 0 0
0 1 0
2 1 0
0 0 2
2 2 0
1 1 2
1 0 1
1 1 1
0 1 1
10 4
1 3 0
2 0 2
3 3 2
3 2 2
0 3 3
3 2 0
2 2 0
1 1 3
2 2 2
1 0 3
10 7
0 1 1
0 2 1
2 2 2
2 0 0
1 2 0
2 2 0
1 1 1
0 0 1
2 1 2
2 0 2
10 8
5 3 1
5 0 3
1 5 4
2 3 1
4 3 3
4 0 0
0 2 3
2 5 3
5 1 1
1 5 1
10 5
1 2 0
0 0 0
2 2 2
1 2 1
1 1 0
0 2 0
1 1 2
2 1 1
0 0 2
1 0 0
10 4
2 4 3
2 1 2
3 0 0
3 0 3
2 3 4
2 4 1
1 2 1
4 0 1
4 1 0
4 3 0
10 6
2 0 1
0 0 0
1 2 2
0 0 1
2 1 2
2 2 1
1 1 2
0 0 2
2 2 0
2 2 2
10 5
4 2 1
2 4 4
2 1 0
0 2 3
4 0 3
3 2 5
0 5 1
1 0 3
3 5 1
5 2 3
10 8
1 2 5
0 0 2
3 5 5
5 3 1
1 1 5
0 2 1
1 0 3
4 5 1
1 1 1
1 3 0
10 7
2 0 1
2 1 0
1 2 0
1 1 2
2 0 0
1 2 2
2 2 1
0 2 1
1 1 0
0 2 2
10 6
5 1 3
5 0 3
4 4 0
5 2 0
2 4 4
0 2 0
5 0 2
1 3 4
5 2 2
2 4 3
10 5
0 2 0
2 2 2
3 1 1
2 2 1
3 3 0
1 0 0
3 1 3
2 0 2
1 1 3
0 1 3
10 2
2 4 0
0 5 2
2 0 3
4 3 0
3 0 5
4 2 2
5 2 0
4 0 3
2 0 2
3 3 2
10 7
2 4 5
5 1 2
4 3 0
1 0 1
2 1 1
1 5 5
1 0 2
2 1 0
5 5 1
2 0 1
10 3
3 3 0
3 0 1
3 2 0
2 0 0
1 1 3
3 0 0
2 0 2
1 3 2
0 2 3
3 2 2
10 9
1 4 0
3 2 4
2 5 3
5 2 2
0 2 3
0 2 1
1 4 3
2 0 2
5 3 2
1 1 3
10 9
0 2 2
2 1 1
3 2 2
2 3 2
2 2 2
3 0 2
1 1 3
2 3 0
0 2 3
2 1 2
10 5
3 1 1
1 0 0
3 3 0
1 0 1
4 4 0
3 0 2
4 1 1
2 0 4
0 0 1
3 3 2
10 2
1 2 0
1 2 4
5 3 3
3 3 5
4 4 5
4 2 2
3 4 5
5 1 3
3 3 2
4 3 1
10 9
3 2 4
0 2 2
2 1 4
3 4 4
3 1 3
2 4 3
3 0 1
2 1 2
0 2 0
2 1 0
10 9
3 0 3
0 2 1
0 3 0
3 3 2
3 0 2
3 1 0
1 1 3
3 1 1
2 3 1
3 0 0
10 4
2 1 1
0 0 0
1 0 2
1 2 2
1 0 1
0 1 1
0 2 2
2 1 0
0 0 1
2 0 2
10 8
1 2 4
1 4 1
2 0 0
3 3 2
4 1 3
2 2 0
1 1 0
4 1 2
0 3 1
4 1 1
10 5
1 2 2
0 1 0
1 1 0
1 0 1
2 1 1
0 0 0
2 2 2
0 1 2
0 2 2
0 1 1
10 4
4 0 4
3 0 3
3 1 0
3 3 4
3 5 1
4 4 2
2 1 0
5 4 2
3 1 4
1 0 4
10 3
3 1 4
5 4 4
5 0 1
4 2 2
2 4 2
0 2 3
0 5 2
1 0 2
4 3 3
3 1 3
10 3
2 4 2
4 5 3
0 4 1
3 4 1
5 5 2
2 2 0
0 3 5
1 3 3
5 4 0
2 2 1
10 3
2 0 1
3 1 2
3 3 1
1 3 3
2 0 2
1 2 0
2 1 0
1 0 3
0 0 3
2 2 3
10 7
3 5 0
3 3 5
4 2 5
1 4 3
4 5 5
5 1 1
1 2 2
4 0 0
0 5 0
3 2 2
10 6
2 2 2
1 0 2
2 1 2
2 2 0
2 0 2
1 2 0
2 2 1
0 0 0
0 1 1
1 1 1
10 5
5 5 1
1 0 3
1 5 0
4 4 0
5 3 5
2 2 1
4 1 2
4 5 4
4 3 3
1 1 2
10 9
0 2 3
1 3 4
2 1 1
0 0 4
2 0 2
4 3 1
4 4 3
4 0 4
3 4 4
1 1 4
10 3
4 3 0
2 3 1
3 4 5
0 3 3
4 4 2
0 0 1
2 4 1
5 3 3
3 2 5
2 2 0
10 4
2 0 1
1 1 0
2 1 1
0 2 2
1 1 2
2 0 0
0 1 0
0 0 0
1 2 0
2 1 0
10 3
1 1 2
0 2 3
0 3 3
3 4 2
0 2 4
2 4 0
0 3 2
4 3 0
2 3 4
1 1 0
10 7
0 1 0
0 2 1
2 0 1
0 0 0
1 0 2
1 2 2
1 0 0
2 0 2
0 2 2
0 0 1
10 5
1 1 2
4 1 0
0 0 1
1 3 0
4 3 2
2 3 2
3 0 4
2 1 0
1 4 1
1 2 4
10 6
1 2 3
0 0 0
2 2 3
3 3 2
0 3 2
2 1 3
2 2 2
2 3 0
3 3 0
2 0 0
10 6
3 0 4
1 3 3
2 5 0
1 2 0
0 3 0
0 2 2
5 4 5
0 4 4
5 4 0
4 1 4
10 8
2 5 5
4 5 1
1 0 3
3 3 4
1 2 5
4 2 3
5 4 0
3 2 0
3 5 2
3 5 4
10 3
4 1 2
5 3 3
0 5 3
4 3 2
4 4 1
4 5 1
1 0 5
2 5 3
3 1 0
5 2 2
10 6
3 5 1
5 0 1
1 3 1
2 0 3
3 1 2
5 3 0
3 5 2
0 0 3
5 4 0
4 0 5
10 9
0 2 1
0 1 2
2 2 2
2 1 2
1 2 1
0 1 1
2 2 0
2 2 1
2 0 0
1 0 2
10 8
2 0 4
0 3 0
0 0 0
3 3 2
1 1 3
3 2 3
4 2 0
3 4 4
2 4 0
2 2 4
10 9
1 4 1
0 0 2
4 3 3
4 0 2
1 5 3
3 4 3
1 0 1
5 1 0
5 3 3
5 5 2
10 6
5 3 1
1 0 3
2 3 5
2 3 1
2 1 3
0 2 2
2 1 5
4 1 0
5 2 1
4 1 4
10 5
1 1 0
0 0 1
2 2 1
0 1 0
0 0 0
0 2 2
1 0 0
1 0 1
0 0 2
2 2 2
10 4
0 1 2
2 3 4
0 2 3
3 4 2
0 3 3
3 0 0
1 2 0
1 4 3
4 4 0
0 2 0
10 4
0 2 0
0 0 1
0 2 2
2 1 1
2 2 2
1 0 2
0 1 2
0 1 3
0 0 3
0 0 2
10 7
1 0 1
3 3 3
4 4 4
0 3 4
1 0 4
3 2 4
4 0 0
3 2 2
2 2 4
3 3 0
10 4
0 4 4
3 4 4
4 0 3
5 5 4
4 2 3
1 5 1
2 0 4
1 4 1
5 5 2
5 2 0
10 7
2 1 4
1 1 1
3 1 3
2 0 2
3 2 3
1 0 4
0 4 3
1 2 3
0 4 4
0 1 1
10 7
0 0 0
0 1 0
2 0 2
1 1 2
2 1 0
0 2 2
1 0 2
1 1 0
0 2 0
1 2 2
10 5
2 1 5
3 0 5
5 1 0
3 0 1
4 2 1
2 2 1
5 1 5
3 1 3
2 4 1
3 4 4
10 2
2 4 2
0 2 2
2 1 2
2 3 4
1 2 2
3 4 0
1 4 2
0 4 2
2 3 1
3 4 3
10 2
3 1 0
1 3 1
4 2 3
1 4 3
0 1 4
3 3 0
1 5 1
2 2 3
0 0 5
1 0 1
10 7
3 1 4
5 1 4
2 3 1
1 4 1
0 3 4
2 4 5
1 2 3
2 3 3
4 0 5
3 4 4
10 3
0 1 0
1 3 2
2 3 1
1 1 2
0 0 2
0 2 2
0 0 3
2 0 3
3 3 3
2 3 3
10 4
2 1 2
0 1 1
1 0 0
0 3 1
0 1 0
3 0 2
0 2 2
0 1 2
3 3 0
3 3 3
10 7
0 2 2
4 0 2
2 2 0
1 1 4
2 1 0
1 1 1
0 4 2
1 0 4
4 4 2
1 3 0
10 4
3 0 1
1 3 3
1 0 0
1 3 2
3 3 2
2 2 0
0 3 2
2 2 2
2 0 2
2 1 3
10 7
0 1 0
0 1 1
3 0 4
3 2 2
4 0 1
4 4 4
2 2 1
3 3 0
0 2 2
2 3 0
10 4
1 0 1
2 0 2
1 2 1
2 0 0
0 2 2
1 1 2
2 1 1
2 2 2
2 1 0
1 0 0
10 7
3 4 3
1 2 0
0 2 4
2 2 2
0 1 0
1 3 2
0 2 1
3 2 2
0 0 3
1 4 1
10 9
4 2 0
4 2 2
5 5 1
2 0 0
3 4 0
2 2 1
4 0 3
1 0 3
0 3 4
0 2 1
10 2
4 4 0
2 2 1
0 5 5
5 1 5
1 1 2
0 2 5
0 1 2
2 1 2
2 3 0
1 2 2
10 9
0 3 0
3 1 0
2 1 3
1 2 0
0 3 2
1 1 0
1 3 0
0 0 3
1 0 0
2 0 2
10 2
3 3 3
3 2 4
4 5 4
4 3 5
0 4 5
1 1 3
0 0 0
0 1 3
2 0 0
1 4 1
10 8
3 2 2
0 0 1
0 2 4
2 2 4
1 3 4
2 0 0
4 3 4
3 2 3
3 0 3
3 1 4
10 9
4 2 1
5 4 5
2 0 3
3 2 1
3 4 1
3 2 5
1 0 5
5 5 2
1 2 5
3 0 1
10 7
4 1 1
4 5 1
1 1 4
2 2 0
5 0 0
1 4 1
4 0 2
2 1 4
0 4 5
3 1 4
10 5
2 2 2
0 1 1
3 3 2
1 0 3
2 3 1
3 1 3
1 3 3
0 2 3
0 0 1
2 3 2
10 2
3 0 2
0 0 3
3 3 0
3 2 0
1 2 1
0 2 0
0 3 3
3 1 0
3 3 1
2 2 0
10 4
2 2 1
2 2 0
0 1 0
2 1 2
1 1 0
2 0 0
0 1 2
1 0 1
0 0 0
2 2 2
10 4
1 0 0
0 1 1
2 3 1
3 3 3
0 1 2
0 2 3
2 0 0
1 3 3
1 0 1
0 0 0
10 6
0 3 3
3 1 3
0 5 2
3 2 4
1 0 4
4 4 1
5 0 1
5 3 2
5 0 2
0 2 5
10 8
0 2 0
3 0 3
3 2 0
1 3 1
3 1 3
2 1 2
0 3 1
3 3 3
2 2 3
1 1 3
10 7
0 2 2
2 1 2
3 0 0
1 0 3
3 0 1
3 3 1
2 2 0
2 1 0
3 1 1
1 1 3
10 2
0 0 0
2 1 3
1 0 1
2 1 1
1 4 0
2 3 2
0 2 0
1 0 4
3 2 0
0 1 2
10 5
2 2 4
3 3 4
4 4 0
0 0 3
0 3 4
1 2 3
3 0 0
0 1 4
3 1 3
3 1 4
10 6
1 2 2
2 0 2
0 1 2
0 2 2
1 1 0
0 0 0
0 2 1
1 1 1
1 0 2
0 0 2
10 8
2 1 2
0 2 2
0 0 0
0 2 1
2 1 1
0 1 2
0 0 1
1 1 1
1 2 1
2 0 2
10 4
1 2 3
0 3 3
0 1 0
2 3 2
2 2 1
0 2 0
2 2 3
3 0 2
0 2 2
1 2 0
10 8
4 2 1
3 0 4
3 2 0
1 0 4
0 3 4
1 2 3
4 2 0
1 1 1
2 0 3
2 2 0
10 9
0 0 1
2 2 2
2 0 0
1 2 0
1 0 0
0 1 0
0 0 0
2 1 1
1 2 1
1 1 0
10 2
0 1 3
0 0 1
3 1 1
1 2 0
1 0 3
1 0 2
0 2 3
2 1 1
2 3 0
1 2 1
10 7
0 1 4
0 3 2
3 3 0
5 3 1
5 4 0
0 1 2
5 5 2
3 1 0
5 5 5
0 5 4
10 4
1 0 2
1 0 1
1 1 1
1 2 1
0 0 0
1 2 2
1 2 0
2 1 2
0 0 1
0 2 0
10 5
1 2 1
1 1 0
0 2 2
2 0 2
1 2 0
2 1 2
1 2 2
2 1 1
1 1 2
0 2 0
10 7
2 2 0
1 2 2
2 2 2
0 0 0
2 0 2
2 0 1
0 0 1
1 2 0
0 1 0
1 1 1
10 9
0 1 0
1 0 0
2 2 2
2 1 1
2 0 2
0 0 1
2 1 2
0 1 1
2 1 0
0 1 2
10 7
0 1 1
0 0 1
1 2 2
0 1 2
2 1 0
1 0 1
0 2 1
1 1 0
2 0 2
2 1 2
10 6
2 3 3
0 2 0
1 2 1
4 0 4
1 0 1
2 2 1
2 3 1
0 3 1
3 1 3
2 0 3
10 9
1 2 1
0 1 1
1 1 0
2 2 2
0 2 1
1 0 2
1 2 0
2 2 1
1 0 0
0 2 0
10 6
5 2 1
5 0 0
0 0 5
2 4 0
0 2 4
3 5 5
0 5 3
4 3 5
1 0 5
3 2 5
10 3
1 3 0
1 2 2
0 0 0
0 3 3
3 0 3
1 0 0
2 3 1
1 1 3
0 2 3
1 2 1
10 3
1 1 1
1 3 3
0 3 0
3 1 2
0 1 2
0 3 2
3 1 1
0 0 0
0 1 0
0 3 1
10 3
0 2 0
2 0 0
2 2 1
1 1 2
0 2 2
0 0 2
0 1 1
0 1 2
1 1 0
2 2 2
10 5
1 0 2
0 2 0
0 2 2
1 0 1
0 2 1
2 2 1
1 0 0
1 1 0
0 1 0
0 0 0
10 2
0 0 0
0 2 1
0 0 1
0 1 2
2 2 0
1 2 2
1 0 2
1 0 0
1 1 1
2 2 2
10 4
0 5 4
3 5 4
1 2 3
3 3 0
0 2 1
3 1 4
5 5 2
5 3 0
0 3 1
0 3 2
10 3
0 0 0
0 1 0
0 2 2
1 0 2
1 0 0
2 0 0
1 0 1
1 1 1
1 1 0
2 0 2
10 8
1 2 0
3 2 3
4 0 1
2 2 0
0 3 0
3 3 1
2 1 4
3 0 0
0 2 1
1 3 0
10 8
3 1 4
4 4 5
2 3 1
1 0 0
3 2 3
5 1 3
0 4 5
0 0 5
0 4 4
1 3 3
10 9
1 0 0
0 2 0
3 2 3
2 0 3
1 1 0
2 0 1
2 0 2
0 1 0
3 3 0
1 1 2
10 4
3 1 3
3 0 2
0 1 2
1 1 3
3 2 2
0 3 0
0 0 0
2 1 2
1 0 3
1 1 0
10 7
2 1 0
1 1 4
0 3 2
2 4 2
0 0 2
3 2 1
4 3 3
2 3 4
2 2 0
2 2 2
10 3
1 0 1
0 1 1
2 0 2
1 1 1
2 1 2
1 2 1
2 2 1
0 0 1
1 1 0
0 2 0
10 9
2 4 4
2 0 1
5 4 5
3 2 1
0 2 2
3 3 5
3 0 2
0 1 4
1 5 4
3 4 5
10 6
0 0 2
1 1 1
0 2 0
1 1 0
1 1 2
2 1 1
2 0 0
0 1 2
2 0 1
2 0 2
10 4
2 2 1
1 1 0
2 2 2
0 0 2
1 0 0
2 0 2
1 0 2
0 0 0
1 2 1
1 2 2
10 5
0 3 3
3 3 3
4 4 4
0 4 1
2 4 1
0 3 0
2 1 1
3 2 2
3 3 1
1 3 1
10 5
2 1 1
2 0 2
4 0 2
2 4 3
5 1 1
0 2 5
0 1 0
5 4 2
2 5 2
5 1 5
10 3
1 4 2
1 2 4
0 3 4
0 2 3
2 0 3
3 2 1
1 2 3
4 2 4
0 1 4
0 0 0
10 4
0 1 2
0 3 2
1 3 1
1 0 2
1 2 2
3 2 3
0 3 1
2 0 0
1 1 1
3 2 2
10 8
0 2 0
0 1 0
2 2 2
2 2 1
1 1 0
2 0 0
0 1 2
1 0 1
2 2 0
0 1 1
10 4
4 5 3
4 3 2
1 0 5
2 4 4
1 1 1
2 4 5
5 4 3
2 4 0
5 0 0
2 3 3
10 8
4 3 3
3 2 3
0 0 1
3 3 4
2 4 0
3 2 2
1 0 2
4 4 2
1 2 0
0 0 2
10 5
3 3 3
3 0 2
1 3 3
0 0 1
3 2 2
1 2 0
1 1 1
1 2 1
0 2 3
3 2 1
10 3
1 0 3
0 2 2
0 1 3
3 1 3
3 1 2
3 0 3
1 0 2
2 0 1
0 3 3
3 0 1
10 9
2 3 3
3 2 2
2 1 0
1 4 2
4 3 2
1 1 4
2 5 4
4 1 1
3 3 2
3 2 0
10 6
0 1 2
0 0 0
2 1 2
2 0 2
1 0 1
1 0 0
2 2 0
0 0 1
0 1 0
1 2 2
10 3
1 2 2
1 2 1
1 0 1
2 0 0
0 0 0
2 2 1
1 2 0
2 1 2
0 2 0
1 0 2
10 7
3 2 2
3 1 0
0 2 0
1 3 1
0 3 1
3 3 3
1 2 2
3 0 2
1 0 3
3 2 1
10 6
2 3 0
2 2 0
0 2 0
0 1 2
3 1 0
1 0 0
2 2 1
3 0 1
1 1 2
1 1 0
10 5
0 2 1
0 2 2
2 1 2
2 2 0
2 1 0
1 0 2
0 0 2
1 0 0
2 1 1
0 0 0
10 9
5 5 2
3 2 3
2 2 3
2 3 2
0 2 4
2 5 2
1 5 1
1 0 2
0 3 5
1 1 3
10 8
1 3 4
1 0 1
0 1 1
2 2 2
0 4 0
2 0 3
4 0 4
3 3 0
4 2 1
3 0 1
10 5
0 0 3
0 1 1
1 2 1
0 2 3
1 3 2
3 2 2
2 1 1
3 3 1
0 2 1
3 2 3
10 3
3 1 3
1 1 0
2 3 3
3 2 0
3 2 2
0 3 1
0 0 3
2 2 2
0 0 2
0 0 1
10 9
2 0 1
1 2 0
1 1 1
1 0 1
2 2 0
0 2 2
1 1 2
0 0 0
2 1 0
2 0 2
10 8
4 3 0
5 5 4
4 2 0
3 3 5
1 4 0
3 0 1
2 3 1
5 5 3
2 3 5
1 0 3
10 4
0 2 1
1 2 2
0 1 0
0 0 2
1 0 2
2 0 1
1 2 1
0 0 1
2 2 1
1 0 1
10 9
1 1 3
2 0 0
2 2 1
2 1 1
0 0 3
0 1 3
0 3 2
0 3 0
0 1 2
2 0 1
10 8
1 4 4
4 2 4
1 3 5
0 3 3
0 2 3
4 2 1
3 2 0
5 0 5
1 1 5
0 3 1
10 3
0 1 2
0 2 2
1 1 1
0 0 0
2 1 2
0 1 0
1 1 2
1 0 2
2 1 1
2 2 1
10 8
1 1 1
1 2 1
2 0 0
0 1 0
0 1 1
1 0 1
2 0 1
2 0 2
2 1 1
2 2 2
10 8
1 0 2
2 1 1
0 3 0
2 3 2
3 0 2
3 0 0
2 1 3
3 3 0
0 2 3
3 2 3
10 8
4 3 0
2 0 1
3 4 0
4 4 3
4 2 0
2 3 0
3 3 3
4 1 4
0 3 4
3 4 4
10 6
4 0 3
4 3 3
3 0 4
2 3 0
0 1 1
5 4 3
5 1 5
5 2 4
0 5 1
4 5 0
10 3
1 1 1
0 2 0
1 2 1
1 1 0
1 0 1
2 1 2
0 0 1
0 0 0
2 1 0
2 2 1
10 7
4 3 3
3 1 5
3 2 2
2 0 1
3 4 3
5 3 0
5 3 1
3 4 5
2 2 5
0 4 1
10 3
2 0 1
0 2 1
2 0 2
0 1 2
2 2 0
1 2 2
2 1 2
2 2 2
1 1 1
0 1 0
10 7
0 4 4
3 1 2
4 4 0
4 3 2
0 1 1
4 0 3
4 2 3
4 3 1
3 4 0
4 1 3
10 9
0 1 3
1 2 1
0 3 1
4 0 3
3 0 0
4 4 3
2 1 3
3 0 4
2 2 3
0 3 0
10 9
3 1 3
4 5 3
3 3 5
1 3 0
4 5 0
0 3 4
1 4 0
4 4 1
5 3 5
0 5 0
10 8
1 3 2
0 2 2
2 0 2
2 2 1
1 1 1
0 3 1
1 3 0
3 0 2
1 2 1
3 3 1
10 4
0 0 4
3 0 2
4 4 3
2 2 1
1 3 3
2 0 2
2 3 4
3 0 4
0 0 0
0 1 2
10 2
2 1 0
2 1 2
0 0 2
2 1 1
1 0 0
1 2 1
0 2 0
0 1 2
2 0 2
0 1 0
10 7
0 2 1
1 1 3
3 0 2
0 0 3
2 0 1
2 2 0
1 3 3
1 3 0
1 0 0
1 0 2
10 7
0 2 3
3 2 3
2 3 2
2 2 1
0 2 0
0 3 1
3 1 1
2 0 3
0 2 1
3 2 2
10 2
0 0 4
4 3 3
3 1 1
4 1 2
3 3 0
0 3 0
3 3 3
2 4 0
4 4 2
0 0 3
10 4
2 2 1
1 0 0
1 2 0
0 2 1
2 2 0
2 1 0
0 2 2
1 2 2
2 0 0
2 0 1
10 9
4 1 1
3 0 0
4 2 0
4 0 3
1 2 0
0 2 4
0 4 4
0 4 0
2 0 0
2 4 0
10 7
0 4 0
3 3 1
1 5 0
4 4 1
4 0 4
4 4 0
4 4 5
2 4 2
5 1 3
0 1 4
10 6
1 2 3
0 1 2
2 0 2
1 3 3
3 2 0
3 0 1
0 0 0
3 0 0
2 3 0
1 3 1
10 6
3 2 4
3 2 2
0 5 0
0 1 4
3 5 1
2 4 2
2 3 3
3 3 2
1 2 4
0 3 0
10 2
0 1 0
4 3 2
4 3 0
0 0 2
0 0 3
3 1 0
1 4 4
2 0 3
1 4 1
4 1 1
10 3
2 5 0
4 3 2
3 5 3
4 1 2
3 3 0
4 2 5
0 4 0
1 1 0
5 2 4
3 2 2
10 5
4 5 3
3 4 3
5 5 4
1 3 4
0 3 2
3 2 5
2 1 4
2 0 3
3 2 3
2 2 2
10 2
2 0 2
2 2 0
1 0 1
2 1 1
2 0 1
2 1 0
1 1 2
0 1 1
0 0 0
1 0 0
10 7
2 2 3
4 2 0
1 2 3
0 4 0
1 3 1
0 3 0
1 4 0
2 4 3
4 2 2
3 4 3
10 4
4 0 5
2 5 0
4 1 0
4 2 5
3 3 5
2 0 3
5 1 1
0 5 0
4 4 5
5 2 4
10 7
2 0 2
0 2 4
5 4 1
3 4 0
0 3 5
3 0 3
0 0 4
3 0 0
4 5 3
3 2 1
10 9
2 4 0
5 0 3
0 1 2
3 4 3
0 0 1
0 5 5
2 2 3
2 1 1
4 3 5
2 4 4
10 5
0 0 1
3 4 0
2 3 1
1 4 0
3 1 3
0 1 4
1 1 0
1 1 1
4 2 4
2 1 4
10 2
3 4 1
0 1 0
4 3 0
1 1 2
2 1 3
1 1 3
3 3 1
0 2 1
3 2 4
4 3 1
10 6
2 1 1
2 2 0
0 0 2
1 2 0
1 0 2
0 1 0
1 1 2
1 2 2
0 1 1
2 0 1
10 4
1 1 0
0 0 2
0 1 1
2 2 1
0 1 2
1 0 1
2 2 0
2 2 2
1 2 2
2 1 0
10 4
1 2 5
1 3 5
2 4 2
4 3 0
1 1 2
1 1 0
2 5 0
5 5 3
2 3 0
5 4 1
10 9
0 3 3
5 1 2
2 4 3
1 4 0
0 4 1
4 5 4
0 4 3
4 0 1
4 5 2
5 2 1
10 6
4 4 3
4 1 1
4 2 2
3 4 1
2 0 0
2 2 4
1 2 1
3 4 2
2 2 0
1 3 4
10 2
2 3 1
1 0 3
1 4 2
0 4 2
2 1 3
4 4 2
0 1 3
2 3 2
0 0 4
4 3 0
10 7
4 4 1
2 2 2
0 1 3
3 0 1
4 4 2
2 0 3
1 4 3
0 0 3
2 3 3
2 1 3
10 2
3 1 1
0 3 0
0 4 2
0 0 1
4 3 2
1 2 0
3 2 3
2 1 1
3 3 4
3 2 4
10 9
0 2 3
1 3 4
4 3 2
2 4 3
2 3 2
1 1 1
0 0 1
1 3 1
0 3 1
4 2 1
10 5
0 0 0
2 4 0
1 1 2
2 4 2
1 0 0
3 1 0
1 3 0
0 1 0
0 3 1
2 3 1
10 9
0 1 1
2 0 2
0 0 1
1 0 0
1 0 2
0 0 0
2 1 0
0 2 2
2 2 2
0 1 0
10 7
0 1 0
2 1 2
1 2 1
1 0 1
0 0 2
2 0 0
1 1 0
1 1 1
0 2 1
0 0 1
10 3
1 2 0
0 0 3
3 2 0
2 2 0
1 0 0
1 2 1
0 3 0
1 2 2
1 0 2
3 3 0
10 5
2 2 0
0 1 0
2 0 0
1 3 1
3 1 3
2 0 1
3 3 0
0 3 0
0 2 0
3 2 0
10 5
2 4 1
3 4 4
2 1 0
3 2 5
2 1 3
2 2 0
3 0 3
1 3 4
1 3 2
2 5 3
10 9
3 2 3
4 1 2
1 2 3
1 2 4
0 0 3
2 4 3
2 1 0
3 4 0
0 1 4
2 4 2
10 4
0 0 4
2 3 5
4 2 4
0 3 2
5 3 1
4 2 0
4 5 1
0 4 5
4 0 4
3 2 0
10 3
2 2 5
3 3 5
2 1 0
5 5 5
2 2 4
3 5 1
3 1 0
2 2 1
0 0 5
2 5 1
10 7
0 0 1
1 1 2
2 2 2
1 1 1
1 2 2
2 1 1
1 2 0
2 1 0
2 0 2
2 1 2
10 6
1 0 3
1 3 4
0 1 3
1 4 4
0 4 1
4 2 3
1 4 3
4 3 0
3 0 4
1 2 1
10 6
2 3 2
5 5 4
1 1 0
3 0 0
4 1 1
5 4 2
1 4 5
2 4 0
0 0 2
2 4 2
10 4
1 2 1
3 4 1
2 2 3
2 1 2
0 0 1
1 0 0
1 1 4
2 2 4
2 3 3
1 4 2
10 5
1 1 1
1 0 1
2 2 1
1 3 2
0 2 3
2 1 0
2 1 2
3 0 3
2 0 0
1 4 0
10 6
3 4 0
1 1 0
4 1 3
4 1 0
2 1 0
0 4 3
1 0 3
1 0 4
1 0 1
3 3 2
10 6
3 1 3
1 1 1
3 2 0
0 2 3
3 3 3
2 3 2
0 1 2
3 3 1
1 0 1
2 0 3
10 2
5 1 2
2 2 5
2 0 1
5 4 0
5 5 2
3 2 1
3 3 1
1 2 3
4 5 2
3 3 3
10 9
3 3 4
2 0 3
0 0 1
1 2 3
3 2 2
4 1 2
4 2 3
3 1 0
2 1 0
1 1 1
10 8
2 0 1
2 2 0
0 0 1
3 0 2
0 1 2
2 3 1
0 1 0
1 2 2
3 1 0
3 2 0
10 8
0 2 1
1 3 5
3 1 2
5 1 4
5 5 5
2 2 3
4 5 5
3 5 3
2 0 0
0 5 0
10 6
2 2 3
1 0 0
1 2 1
3 1 3
0 0 0
2 0 0
2 1 1
3 3 2
2 1 2
0 2 2
10 8
2 2 1
2 0 0
0 0 1
2 1 0
0 1 1
1 2 0
1 0 0
1 0 2
1 0 1
0 2 2
10 8
0 3 0
1 4 0
1 3 0
4 3 3
4 3 0
2 3 2
1 4 2
3 2 2
2 2 1
2 0 1
10 4
3 2 2
3 0 0
0 1 3
1 3 2
2 1 0
3 3 0
3 3 2
1 0 0
1 3 1
0 2 0
10 9
3 3 3
2 3 3
0 2 2
0 0 3
3 1 1
3 3 0
3 2 1
1 3 3
1 2 1
2 1 1
10 2
0 1 0
4 1 2
2 2 0
4 5 0
1 5 1
3 5 3
2 0 2
2 3 0
3 3 0
1 4 2
10 8
1 2 2
3 2 4
1 3 3
3 3 1
0 2 3
1 4 0
0 2 0
1 1 2
0 4 0
0 0 0
10 5
1 0 1
1 1 1
2 0 1
2 2 0
1 2 1
2 0 0
1 0 0
0 1 1
0 2 2
0 2 1
10 8
2 2 0
3 2 0
2 1 1
1 0 3
0 2 3
2 0 1
3 1 0
1 0 1
0 0 0
1 3 0
10 7
4 0 5
1 5 1
1 0 3
2 1 3
2 0 2
2 3 1
3 3 5
4 1 3
5 0 0
4 0 1
10 7
3 3 2
1 2 0
3 1 0
2 0 2
0 0 2
3 0 3
1 3 3
3 2 0
1 1 2
2 2 0
10 5
2 2 1
3 3 0
5 1 1
5 4 2
2 2 5
2 1 2
2 1 4
5 5 2
2 0 5
5 2 3
10 4
3 0 3
0 3 4
4 3 3
3 2 2
2 0 1
0 4 3
3 2 3
1 0 4
3 1 2
1 0 3
10 8
1 0 4
3 4 3
3 3 3
4 0 2
2 2 2
3 4 1
0 1 2
0 4 0
2 2 0
2 0 1
10 9
1 0 2
0 0 1
1 0 0
1 0 1
0 1 1
0 2 0
1 2 2
1 2 0
2 2 0
2 0 1
10 3
2 3 1
2 3 3
2 1 2
0 2 0
1 1 1
0 0 1
0 0 0
0 1 1
3 1 3
2 2 3
10 7
0 0 0
2 3 0
1 1 3
0 2 0
2 2 3
3 1 1
3 1 3
0 1 0
0 0 2
2 3 2
10 8
0 1 5
0 1 0
2 3 1
2 3 2
3 4 3
2 5 2
2 2 1
1 3 0
4 0 3
1 2 3
10 5
2 1 2
1 1 0
0 0 2
0 1 2
0 1 1
0 2 2
1 1 1
2 1 1
2 2 1
1 1 2
10 7
4 0 2
4 3 0
3 2 2
4 0 1
4 2 2
4 0 3
3 4 0
4 1 3
1 4 3
3 1 4
10 4
0 0 1
2 0 1
0 1 2
2 1 1
2 2 2
2 1 0
0 2 2
1 1 2
0 1 0
0 0 2
10 4
1 4 1
1 0 1
4 0 1
3 3 4
4 4 0
0 0 4
3 0 4
1 4 3
3 3 1
3 2 3
10 4
2 2 0
0 3 1
0 3 2
1 3 3
0 1 0
3 0 0
0 0 3
0 2 3
0 2 2
1 0 0
10 9
4 1 2
4 4 1
3 0 1
1 0 1
2 0 4
4 2 1
0 4 1
2 2 2
1 1 1
4 0 5
10 7
2 5 3
1 2 3
3 2 2
2 2 1
2 4 2
2 4 4
0 4 1
4 3 5
3 1 2
4 2 5
10 7
5 3 2
0 4 5
3 1 0
1 5 5
5 2 3
4 0 4
1 3 0
4 1 4
5 4 2
2 1 2
10 2
2 1 2
0 0 3
4 2 0
1 0 1
2 3 2
0 4 1
0 1 1
4 4 2
0 2 2
4 3 3
10 5
0 4 1
4 3 1
1 2 3
2 4 1
3 2 4
2 2 3
3 2 2
2 3 1
3 3 4
1 4 4
10 4
2 2 0
2 2 1
2 1 0
0 2 2
0 0 1
0 1 1
1 2 2
1 1 0
0 1 2
1 2 1
10 4
1 2 4
0 3 3
4 0 2
1 0 4
2 3 0
3 0 0
0 2 2
1 1 4
3 2 0
0 1 4
10 6
0 1 1
2 1 2
2 1 1
0 2 0
0 0 2
2 0 1
2 2 2
1 0 0
1 1 0
2 2 1
10 6
0 1 1
1 2 2
0 2 0
2 0 0
2 2 1
2 0 1
0 2 1
2 1 0
2 2 0
2 1 2
10 3
0 1 2
2 0 2
1 1 0
1 2 1
2 1 2
0 2 2
0 1 1
2 2 2
2 2 0
0 2 1
10 4
2 5 2
2 2 4
3 0 4
2 0 4
0 2 4
2 5 5
2 4 5
0 3 0
5 2 2
4 0 4
10 9
2 1 2
2 5 5
3 5 3
1 5 4
0 0 0
4 2 3
0 3 0
1 5 3
0 4 2
4 2 0
10 4
1 0 3
3 0 0
0 2 2
2 0 0
1 1 2
3 0 2
0 0 2
0 1 2
3 1 1
1 2 1
10 8
1 1 4
1 2 2
4 4 2
4 0 3
4 1 2
4 0 2
4 2 2
0 1 1
2 3 0
1 4 2
10 5
4 2 2
3 1 4
0 1 1
2 3 2
0 2 0
2 0 0
3 3 0
3 2 0
0 0 2
3 0 2
10 9
2 2 2
0 0 0
1 0 1
0 1 0
2 0 2
0 2 1
2 2 1
0 0 2
0 2 2
0 1 1
10 2
2 4 0
4 0 2
2 2 1
2 1 1
0 3 4
0 1 1
4 1 3
4 1 0
3 3 2
1 3 0
10 9
0 0 0
2 2 2
0 0 1
0 2 0
2 2 0
1 3 0
0 1 2
2 0 3
3 3 1
3 0 0
10 9
1 1 0
0 1 1
0 1 2
2 0 2
0 0 2
1 0 0
2 1 1
1 1 2
2 2 1
1 2 0
10 3
3 0 2
4 0 3
3 3 2
0 2 2
1 2 4
2 3 2
2 4 3
4 2 4
2 0 0
0 4 2
10 2
2 4 1
5 4 2
4 3 0
3 4 1
2 4 2
4 5 1
2 4 0
1 5 1
5 1 4
4 0 4
10 5
0 2 2
0 1 0
0 0 0
2 0 0
1 0 1
2 1 0
2 0 1
2 0 2
0 2 0
2 2 0
10 6
3 0 0
4 1 4
1 3 1
1 2 3
1 4 1
1 3 4
3 2 5
1 1 5
1 0 1
1 1 3
10 7
3 2 4
0 2 0
3 2 3
2 3 1
4 2 0
0 4 2
4 4 1
3 2 2
3 1 5
5 4 5
10 3
0 3 2
0 0 2
1 1 1
0 0 1
1 1 3
0 2 3
1 2 1
3 2 0
1 2 0
0 1 0
10 5
2 2 1
2 0 1
1 3 1
0 0 1
0 1 1
0 2 3
0 0 0
1 1 2
0 2 2
3 1 3
10 3
0 2 0
4 3 3
4 1 0
1 4 3
2 2 0
3 4 0
2 1 3
1 1 3
3 2 0
0 0 1
10 4
0 0 0
1 0 2
2 1 2
0 3 1
0 0 1
0 1 0
1 1 1
2 1 3
0 2 3
3 2 3
10 5
5 2 1
1 2 4
4 3 3
5 1 0
4 1 2
3 4 2
4 1 4
1 0 1
4 4 3
0 5 4
10 6
4 1 3
0 1 2
3 2 2
4 0 1
0 3 1
2 4 1
0 1 1
0 1 0
0 4 2
4 0 3
10 9
5 2 0
5 0 2
4 1 3
4 2 0
0 5 5
2 3 2
2 4 1
2 5 3
1 2 4
2 3 1
10 9
5 3 3
2 4 3
5 3 1
4 2 2
1 4 4
4 3 2
5 0 2
4 5 1
2 0 0
5 4 2
10 5
4 0 0
0 3 3
3 4 4
3 3 4
1 2 1
0 4 0
0 2 1
3 0 3
3 2 4
0 1 1
10 2
2 3 3
2 0 0
3 0 2
0 0 0
3 1 3
2 3 2
1 2 3
0 2 2
2 2 1
0 1 0
10 4
2 2 0
1 2 3
0 0 0
1 1 2
2 0 0
2 2 1
3 3 3
0 2 1
2 3 3
0 3 2
10 6
0 1 0
2 0 0
3 2 3
3 1 1
0 1 2
0 2 2
1 3 2
0 3 3
1 1 0
2 2 1
10 5
0 3 0
1 3 2
3 2 2
2 0 1
1 3 1
2 1 1
3 2 3
1 0 3
0 2 3
0 3 1
10 9
2 0 2
0 2 2
0 2 0
0 0 0
2 2 2
2 1 2
1 2 2
0 0 1
1 0 1
1 1 0
10 7
1 0 0
2 0 1
0 0 0
1 1 2
2 1 2
1 1 0
0 1 1
2 1 1
0 1 0
2 1 0
10 2
4 2 0
4 3 2
4 1 2
2 3 1
3 2 1
4 0 4
4 1 0
4 0 3
3 3 1
2 0 0
10 5
0 1 1
1 1 0
1 2 0
2 1 0
1 1 1
1 0 1
0 1 2
0 2 2
0 2 0
0 0 2
10 8
3 2 3
4 0 3
0 4 2
2 2 1
1 3 3
1 1 1
1 1 3
2 2 4
0 0 1
4 2 0
10 5
2 2 1
2 1 2
0 1 2
1 2 2
1 0 0
2 1 0
0 0 2
1 2 0
2 2 2
2 0 0
10 9
0 0 0
0 5 0
2 3 4
0 4 4
4 2 0
1 2 4
5 4 1
1 3 3
4 3 0
4 0 3
10 6
3 3 0
4 0 3
1 4 4
4 0 2
3 4 4
4 3 3
3 2 1
4 1 4
0 2 1
2 3 2
10 4
1 2 1
0 0 2
2 1 0
2 0 2
1 0 2
0 0 1
0 1 0
1 1 0
1 0 1
1 2 2
10 9
0 2 1
2 0 2
0 2 0
0 0 1
1 1 2
2 0 1
2 2 0
1 0 0
2 1 0
2 0 0
10 7
4 0 1
0 1 3
4 2 5
2 3 4
4 0 0
1 4 2
0 5 5
5 1 4
1 0 2
4 0 2
10 6
0 1 0
2 0 0
2 0 1
0 0 1
0 1 1
2 2 1
2 0 2
1 1 0
1 0 0
1 2 0
10 5
4 3 4
4 2 5
5 1 2
2 5 2
4 4 3
3 5 1
2 2 2
0 3 0
5 0 1
1 2 0
10 4
2 1 2
1 1 0
1 2 0
1 2 2
2 2 0
1 2 1
0 0 0
2 0 1
1 0 2
1 1 2
10 5
1 2 0
2 0 3
3 0 0
3 2 0
3 3 2
0 3 2
3 1 0
2 3 3
2 3 1
0 0 0
10 9
1 0 2
1 0 1
0 2 2
0 2 1
2 0 2
0 0 1
0 1 0
1 2 0
2 2 0
1 1 1
10 6
3 0 1
0 0 0
2 2 2
3 2 3
1 3 2
2 3 0
2 1 2
0 3 3
3 1 3
1 0 0
10 4
0 2 2
1 2 0
0 0 1
1 1 1
0 2 0
0 0 2
1 0 2
2 2 0
1 2 2
0 1 1
10 8
0 1 0
0 1 2
2 1 2
1 3 2
0 2 1
0 2 2
1 2 2
3 0 1
3 2 0
1 2 0
10 7
5 2 3
2 5 2
3 1 1
5 5 3
2 4 3
4 0 4
0 2 1
4 0 2
0 3 1
4 2 1
10 6
0 0 4
1 5 4
5 1 0
4 0 0
5 4 0
5 1 5
0 5 4
5 0 3
1 5 2
3 2 4
10 4
2 0 2
4 3 4
4 4 1
4 2 4
4 3 0
3 4 0
0 1 1
2 4 3
2 4 1
3 0 1
10 9
0 1 0
1 2 0
0 0 2
2 1 0
1 1 2
1 1 0
1 0 0
0 2 0
1 1 1
2 1 2
10 3
0 3 2
0 1 3
0 2 2
1 2 3
2 0 3
0 1 1
3 3 2
2 0 0
0 0 0
2 0 2
10 3
0 2 3
1 3 1
2 3 1
2 0 2
1 1 2
3 0 3
1 0 2
0 0 1
2 3 2
0 3 0
10 4
4 5 5
2 5 3
5 2 1
4 4 2
3 2 0
4 0 3
1 3 4
5 1 4
3 5 0
0 1 0
10 3
1 2 1
1 2 0
0 1 2
2 2 1
1 1 0
0 0 1
2 0 0
2 0 2
2 2 2
2 1 1
10 2
3 1 4
0 2 1
1 3 5
2 1 1
2 4 1
5 5 2
0 3 3
4 5 3
2 4 2
2 3 0
10 7
1 2 1
2 1 1
0 0 1
1 2 2
0 1 2
0 0 0
1 1 1
2 0 2
0 2 2
1 1 2
10 8
4 1 3
0 0 4
4 4 4
2 2 4
4 2 2
3 4 3
3 1 4
2 1 0
3 2 1
0 3 2
10 6
0 0 1
0 2 1
0 0 0
2 0 2
0 2 2
0 2 0
1 2 1
2 2 2
1 2 0
1 0 1
10 4
0 1 0
0 1 1
2 2 1
1 0 0
2 1 2
1 1 0
2 1 0
0 1 2
0 2 2
2 2 2
10 5
4 2 1
4 4 0
4 4 4
0 2 1
1 2 0
2 4 4
4 3 3
1 4 3
3 1 0
1 1 3
10 2
1 0 0
3 3 2
1 1 3
1 1 1
0 3 0
2 0 2
3 2 3
1 1 2
0 0 3
2 1 0
10 7
0 2 3
0 3 3
2 2 2
2 1 0
3 0 3
5 5 3
1 3 0
2 1 3
3 3 1
5 3 3
10 8
2 0 2
2 1 2
0 3 3
0 1 3
1 1 2
1 0 3
0 1 2
1 0 0
0 3 0
3 2 3
10 3
0 0 3
1 2 4
4 1 4
1 0 1
3 0 3
1 3 3
0 1 4
0 4 4
2 4 1
1 0 2
10 2
3 0 5
0 3 0
1 3 4
3 4 4
1 4 4
2 3 2
0 4 2
2 0 0
2 1 4
1 5 4
10 5
1 2 1
3 1 3
3 1 1
2 2 1
3 3 0
2 2 2
1 2 3
0 2 2
2 3 0
2 2 0
10 3
1 2 3
5 2 2
1 4 3
0 2 4
0 4 5
5 3 4
3 5 5
0 4 0
2 1 3
0 1 3
10 8
2 2 1
4 4 0
2 1 4
2 2 2
2 1 3
4 0 3
3 2 4
0 3 2
4 1 3
4 2 3
10 6
0 1 3
3 2 1
0 0 3
3 3 3
0 1 2
2 2 3
3 1 2
2 0 1
0 3 1
1 2 2
10 2
2 0 1
1 0 1
0 0 1
0 1 1
2 1 0
1 0 2
0 1 2
2 1 2
0 2 2
1 2 0
10 5
2 0 0
3 1 3
1 1 0
3 2 3
2 1 0
0 1 0
2 2 3
2 2 1
2 0 3
2 3 1
10 8
2 2 0
0 2 2
0 2 0
0 1 2
2 2 2
0 0 1
1 1 2
2 0 0
0 2 1
1 0 1
10 6
2 2 1
3 0 2
1 2 0
3 3 3
0 2 0
0 0 2
3 0 3
3 2 0
0 3 2
0 2 3
10 2
5 4 4
1 2 2
0 5 1
3 3 0
0 5 4
3 0 5
1 3 3
5 5 4
2 4 5
3 1 2
10 2
0 1 4
1 2 4
0 3 0
0 2 2
2 3 3
3 0 0
0 2 3
3 2 0
3 3 0
4 3 2
10 3
0 1 2
2 2 0
0 2 0
0 0 2
2 0 1
1 0 0
1 0 2
2 1 2
0 2 1
1 2 1
10 4
3 0 3
0 1 1
2 3 2
3 0 1
3 1 3
1 0 3
3 1 1
2 0 0
1 1 1
3 3 3
10 9
0 1 3
1 5 3
4 2 2
0 0 5
5 4 2
5 0 5
2 2 2
0 0 4
5 3 2
1 1 2
10 7
2 2 2
2 2 1
2 0 0
2 2 0
0 2 1
1 2 2
0 1 2
0 0 0
1 0 2
0 2 0
10 2
1 1 2
1 1 1
2 2 2
0 0 0
0 2 0
0 2 2
1 0 2
2 2 0
0 1 0
2 1 2
10 7
0 2 1
3 1 1
3 0 3
1 1 3
2 0 1
1 0 1
2 2 0
1 1 1
2 2 3
1 2 2
10 2
1 3 5
5 4 5
0 3 5
5 4 0
1 5 3
1 2 1
3 3 1
2 2 4
2 4 2
1 3 2
10 9
0 2 4
1 0 0
1 2 0
0 0 2
4 2 1
2 2 0
4 0 2
0 4 1
2 4 4
1 2 4
10 9
3 1 3
2 1 3
3 3 3
2 0 0
1 0 1
3 1 2
3 3 1
3 1 1
2 3 1
2 0 2
10 5
0 2 0
3 0 4
3 0 0
4 2 4
0 0 2
2 1 3
3 3 0
2 0 2
3 4 3
2 4 0
10 7
1 4 3
0 3 3
4 0 2
4 1 4
0 2 2
4 4 3
0 4 3
2 3 0
3 4 1
2 2 4
10 9
3 1 2
3 3 1
2 2 2
3 2 2
1 2 0
3 2 3
0 3 3
3 0 3
1 1 3
2 1 2
10 7
2 2 2
0 0 0
0 1 1
1 1 2
1 0 1
1 0 0
0 2 1
1 2 0
2 1 1
0 0 1
10 4
4 0 2
4 5 1
2 4 4
2 0 2
2 4 1
5 5 5
0 1 0
5 3 5
1 4 2
4 4 3
10 9
0 3 0
1 0 2
2 3 1
1 2 3
3 3 2
1 1 2
0 0 3
3 1 1
0 1 1
1 1 1
10 4
2 0 0
2 2 0
2 1 1
2 0 1
1 2 1
0 2 2
1 1 2
0 2 1
0 0 0
0 1 1
10 5
3 0 3
0 1 0
3 2 1
1 0 1
2 2 0
2 3 2
1 3 3
0 1 3
0 2 0
1 3 1
10 7
1 4 4
2 1 4
1 0 4
0 1 2
4 1 2
3 2 4
4 2 0
0 4 0
3 3 4
1 4 2
10 2
1 3 4
3 2 5
5 4 2
1 0 5
5 3 2
5 4 4
4 2 2
0 2 2
2 4 0
5 3 1
10 3
3 1 2
2 3 1
3 3 3
3 1 1
0 3 1
3 3 2
0 2 1
0 0 3
1 3 1
3 1 3
10 2
4 0 2
1 2 1
0 3 1
3 3 3
2 2 0
1 3 4
0 1 5
5 1 2
1 5 4
2 4 4
10 6
1 0 2
1 2 1
1 2 0
1 1 0
1 0 0
2 0 1
1 1 2
2 2 1
1 2 2
2 0 2
10 2
2 3 1
0 0 3
5 2 4
3 5 4
1 3 2
5 3 0
0 0 4
5 4 5
5 0 3
5 4 4
10 2
2 0 1
1 0 2
1 0 1
0 2 2
0 0 0
2 2 0
1 0 0
1 1 2
2 2 1
2 1 0
10 7
3 0 1
2 0 0
2 0 3
0 1 0
1 3 1
1 0 1
2 2 3
1 2 0
1 3 2
0 3 1
10 2
1 2 2
2 0 2
0 0 2
0 1 0
1 0 0
0 2 2
0 2 0
0 1 1
1 1 2
1 0 1
10 2
1 2 0
1 0 1
2 1 2
0 2 2
2 0 2
1 1 1
0 0 1
2 2 2
0 2 0
0 2 1
10 4
2 1 2
0 1 2
1 1 2
0 2 1
0 0 2
1 1 0
0 0 1
2 0 0
0 1 1
1 1 1
10 6
2 2 0
1 0 3
1 4 0
1 2 4
2 4 1
4 1 1
4 0 4
4 2 3
2 0 0
2 4 2
10 9
0 0 3
2 1 3
3 4 1
1 2 3
2 3 3
0 0 2
2 4 3
0 2 0
0 3 3
2 2 0
10 9
5 5 1
5 2 0
4 5 5
3 2 5
1 4 5
0 1 3
4 1 4
0 1 2
0 1 0
4 4 4
10 3
1 1 2
3 2 2
2 2 2
1 1 1
2 1 0
1 1 0
0 1 2
1 2 3
1 2 1
2 3 2
10 9
2 1 2
1 2 2
2 2 2
0 1 1
2 0 1
2 1 1
1 2 0
1 0 0
2 0 0
0 1 0
10 9
2 2 1
1 2 0
0 2 2
0 0 0
0 2 1
2 1 2
0 1 1
2 2 2
1 2 1
0 0 2
10 6
3 3 2
4 5 0
0 0 0
2 4 5
2 3 5
1 1 0
4 1 4
0 0 3
5 0 2
5 5 2
10 2
0 5 3
4 5 2
5 2 5
4 4 0
3 4 1
2 4 2
1 5 4
1 0 5
1 0 4
1 1 5
10 5
1 1 3
3 0 3
5 5 0
2 0 2
0 4 0
2 4 2
2 2 2
5 3 2
2 3 5
1 5 1
10 8
0 0 2
0 2 2
0 2 1
0 1 0
1 2 1
1 0 0
2 1 0
0 2 0
0 0 0
1 0 1
10 9
1 2 1
1 0 1
2 2 0
0 2 0
2 2 1
0 0 0
1 1 0
1 1 2
2 1 2
0 0 2
10 3
0 1 1
0 0 1
2 1 1
0 0 0
1 0 1
0 0 2
1 1 0
0 2 1
2 1 0
0 1 0
10 2
1 1 2
0 3 0
2 2 0
0 0 2
0 0 3
2 1 1
1 0 0
2 2 1
1 3 2
3 0 0
10 8
1 1 0
0 2 4
3 0 4
1 0 0
2 0 3
0 4 4
1 3 3
3 3 4
4 4 0
3 3 2
10 9
1 1 2
3 3 1
2 2 2
1 4 0
2 0 4
0 3 3
1 4 4
1 0 4
0 1 2
0 2 4
10 4
2 0 1
2 3 1
0 2 2
1 1 0
3 1 0
2 1 0
3 0 2
2 3 0
3 2 1
0 3 3
10 2
1 1 0
2 2 0
2 0 2
2 2 1
1 0 2
0 2 2
0 0 0
2 0 1
0 1 1
1 2 0
10 4
1 2 2
2 0 0
2 2 0
2 0 2
1 1 2
0 2 1
2 1 2
1 1 1
1 1 0
2 1 0
10 8
3 4 0
3 0 0
0 5 2
2 3 5
3 4 5
2 4 2
4 5 5
5 1 1
3 1 0
1 2 4
10 2
4 3 0
2 3 3
0 1 3
3 4 1
0 0 3
0 0 1
3 0 2
2 1 4
1 4 0
4 1 2
10 4
3 0 1
2 1 4
2 4 1
4 1 0
4 3 1
0 3 1
3 4 1
4 3 3
2 2 4
4 4 0
10 5
1 4 1
2 1 3
0 1 3
1 1 4
2 1 0
0 2 4
3 1 3
2 3 2
2 1 1
2 2 4
10 6
2 0 2
3 2 2
0 2 2
0 2 0
3 2 0
3 0 0
3 1 1
0 0 3
1 0 0
2 1 0
10 4
1 2 2
0 0 2
2 1 0
1 1 1
2 0 0
0 2 0
0 1 1
0 2 1
0 0 1
2 2 0
10 3
3 1 2
3 0 5
0 4 4
2 3 3
3 4 5
1 0 4
4 5 1
3 1 4
4 1 3
1 4 1
10 5
4 1 1
2 0 3
2 2 0
1 4 0
1 1 0
4 2 4
2 2 1
3 2 4
1 0 4
3 1 3
10 2
4 2 0
1 5 0
3 1 2
3 0 0
2 1 0
5 2 1
3 2 1
4 1 5
2 0 5
5 0 1
10 3
3 2 1
3 1 1
2 1 0
1 0 2
3 1 0
1 3 3
0 3 0
1 3 1
2 0 3
2 2 2
10 6
0 0 2
3 0 2
1 2 0
3 3 1
1 3 1
3 1 1
1 3 3
3 2 3
0 2 0
3 2 2
10 8
1 0 2
1 1 0
0 2 1
2 2 1
2 1 2
0 0 1
0 1 0
2 0 0
2 2 0
1 1 1
10 9
1 2 1
0 2 1
2 0 0
2 2 2
2 0 2
0 0 0
0 2 0
1 1 0
2 2 0
2 1 0
10 6
0 1 1
0 1 2
1 1 3
1 2 1
3 0 0
1 0 1
1 3 2
1 0 0
1 3 1
3 2 0
10 3
2 3 5
3 5 5
4 3 4
4 4 4
3 2 4
5 2 1
4 0 1
2 0 3
3 1 1
5 5 5
10 6
0 0 0
0 2 0
2 0 1
2 0 2
2 1 0
0 1 2
0 2 2
1 1 0
0 0 1
2 2 1
10 6
4 4 1
1 3 2
4 4 0
3 2 3
3 4 4
4 0 1
0 1 4
3 1 1
2 1 0
2 3 2
10 2
2 5 1
5 0 1
4 1 1
3 1 1
0 2 1
0 3 5
3 2 3
1 1 5
5 4 0
2 3 2
10 9
0 0 2
2 1 2
0 2 2
0 2 1
1 0 1
2 0 0
1 2 1
1 1 0
1 2 0
0 1 0
10 3
4 4 2
0 0 3
4 1 1
1 4 1
1 4 0
0 4 3
0 0 1
2 0 0
0 1 1
4 3 2
10 7
0 2 2
1 2 1
1 1 2
2 2 0
2 0 2
1 0 2
0 0 2
0 0 1
1 1 1
2 2 1
10 8
5 2 4
1 0 0
0 3 2
3 4 5
4 2 1
5 0 0
1 3 2
5 0 4
1 1 3
2 1 1
10 8
1 0 0
1 3 0
0 4 3
2 0 4
3 4 3
0 0 2
2 3 4
4 3 1
3 4 4
2 0 0
10 2
0 2 1
2 0 1
2 0 0
2 1 2
0 1 0
2 2 0
0 1 1
2 2 2
0 0 2
1 0 1
10 9
4 4 0
0 0 2
3 0 3
0 2 2
4 5 3
3 3 2
1 1 2
0 5 2
4 2 5
5 3 5
10 5
0 1 1
0 2 0
3 2 0
1 2 1
0 1 3
2 0 0
3 3 3
1 2 2
0 2 3
0 3 3
10 8
1 1 2
0 1 0
1 2 2
1 2 0
0 2 0
2 2 0
2 0 2
1 2 1
2 0 0
0 1 2
10 8
1 3 5
0 1 1
4 4 0
2 2 3
0 2 4
5 2 5
0 2 3
4 0 4
3 2 1
5 0 1
10 4
0 1 0
2 2 1
2 0 1
0 2 0
0 2 1
0 1 2
1 0 1
2 2 0
2 1 1
0 2 2
10 5
1 3 1
3 3 2
0 3 3
1 1 1
0 1 0
3 1 1
0 0 0
3 1 0
0 1 3
2 2 3
10 7
0 0 2
3 2 0
2 0 0
0 3 3
1 0 1
2 3 1
1 2 1
1 0 0
2 3 0
1 0 2
10 5
0 1 2
0 1 1
1 1 1
1 1 0
1 2 1
2 0 2
0 2 0
2 1 1
2 2 2
1 2 2
10 3
2 0 1
0 0 1
1 2 1
1 1 0
1 0 2
2 1 2
0 1 1
2 2 0
0 2 1
1 1 1
10 5
2 0 1
1 1 2
1 0 3
1 1 1
2 3 3
2 2 0
1 3 0
2 3 0
2 1 1
2 2 2
10 2
1 1 1
1 5 1
3 3 4
1 3 3
0 0 1
1 3 2
4 2 5
4 5 4
1 1 4
4 2 3
10 4
1 3 2
0 3 1
5 3 1
4 5 5
2 5 4
1 2 1
5 2 3
4 1 3
3 3 0
1 2 2
10 3
1 2 1
0 2 4
4 3 4
2 1 1
4 3 0
1 3 3
1 2 4
0 4 1
0 4 0
4 0 1
10 6
1 0 2
1 2 0
0 0 1
0 2 3
4 0 2
0 4 4
3 4 0
0 2 1
0 2 0
4 3 3
10 3
1 1 1
1 1 0
1 2 1
2 0 1
0 2 1
0 1 1
0 0 2
0 0 1
1 0 0
1 1 2
10 7
0 2 2
0 0 0
2 2 2
2 0 2
1 0 1
2 1 0
0 1 2
2 0 0
0 2 1
0 2 0
10 9
2 0 3
1 1 2
3 2 1
1 1 0
3 3 2
0 1 2
2 1 3
3 1 1
0 3 3
2 1 2
10 4
3 2 2
0 1 3
0 3 3
3 0 1
2 3 0
2 3 3
3 2 0
2 1 1
2 0 1
1 3 3
10 5
0 0 0
2 2 2
0 1 1
0 2 2
2 2 0
1 1 1
2 1 2
1 2 1
0 2 1
2 0 2
10 3
0 2 5
1 2 0
1 4 0
5 1 4
2 0 4
0 2 3
2 5 0
5 1 0
3 3 2
3 2 5
10 6
2 0 2
3 1 0
0 0 0
0 1 2
0 3 0
2 2 2
1 2 0
3 3 0
2 1 1
3 1 1
10 3
0 3 1
1 2 2
2 2 2
1 3 2
1 0 0
0 2 3
2 0 2
3 0 3
0 0 3
3 2 1
10 7
3 5 4
3 0 5
1 3 3
3 5 5
2 0 1
1 4 4
1 5 2
1 3 4
0 4 5
4 2 4
10 5
2 1 2
2 0 0
0 1 0
1 0 1
0 2 2
2 1 0
0 2 1
1 0 2
0 1 1
1 2 2
10 4
0 1 2
2 0 0
2 2 1
2 2 0
1 2 2
1 0 2
1 0 0
1 0 1
0 0 0
2 1 2
10 8
0 1 0
0 2 0
2 1 1
1 1 1
0 2 1
2 2 2
2 2 1
1 1 2
2 1 2
0 1 1
10 3
1 0 2
0 0 0
0 2 0
2 1 0
2 2 0
2 1 2
1 2 1
0 0 2
1 0 1
0 2 1
10 5
1 0 1
1 2 3
3 0 0
2 1 0
1 1 3
0 1 3
1 3 3
3 2 2
0 2 3
1 1 2
10 6
3 2 4
3 1 2
0 3 4
2 0 4
4 2 4
1 2 2
2 1 3
4 4 2
0 0 1
2 4 2
10 8
2 3 2
5 3 2
4 3 3
5 5 1
0 2 5
3 3 0
0 0 2
2 3 4
3 1 5
5 0 2
10 9
2 1 2
0 2 5
3 5 1
0 1 5
5 2 5
0 5 5
3 4 5
3 4 3
5 5 5
3 0 1
10 6
3 1 4
3 2 0
2 1 4
2 4 2
1 0 1
2 3 4
4 4 4
0 4 4
1 4 0
3 0 3
10 7
0 4 2
4 0 4
3 4 1
1 3 2
3 2 0
1 1 2
2 2 1
3 2 1
1 0 2
0 0 1
10 4
3 2 1
4 4 4
4 2 3
3 2 0
3 2 2
2 0 4
1 3 2
1 3 3
1 0 1
3 4 2
10 2
4 1 3
2 4 2
2 5 4
3 1 1
4 5 2
4 4 0
0 5 2
1 5 3
4 0 5
3 5 1
10 8
0 2 0
2 0 0
0 2 2
0 2 1
1 2 0
1 0 1
1 0 2
1 1 0
2 1 0
2 2 1
10 9
4 3 1
1 4 0
2 4 3
0 1 2
0 1 5
1 0 4
5 1 1
5 3 4
0 0 4
5 5 0
10 4
2 2 1
0 0 2
0 0 0
0 2 2
0 1 1
1 0 2
0 0 1
2 0 0
1 1 2
1 0 1
10 5
2 1 4
1 3 2
5 3 5
3 4 5
0 0 0
0 1 3
1 5 4
3 1 0
4 3 5
0 5 0
10 5
3 3 4
0 0 4
3 0 2
5 1 1
1 4 4
2 5 4
1 5 4
3 4 3
0 5 1
0 1 2
10 5
2 0 0
0 0 0
1 2 0
1 1 1
1 1 2
0 2 2
0 2 0
1 0 0
1 0 2
2 1 0
10 2
3 4 4
3 0 3
1 0 2
1 4 3
2 4 4
2 2 0
4 4 3
4 4 0
4 0 1
3 4 0
10 9
2 3 1
1 1 1
1 2 3
3 1 1
0 3 0
2 3 2
1 3 3
1 0 3
1 1 2
1 0 1
10 8
4 1 2
3 5 3
5 0 2
4 2 2
2 1 1
5 1 2
4 0 0
3 3 3
3 5 4
4 3 2
10 2
2 0 0
1 0 2
0 0 0
2 2 1
0 1 2
0 2 1
2 1 1
0 1 1
1 0 1
1 0 0
10 2
1 3 2
2 0 0
2 1 3
0 0 1
2 3 0
0 2 3
3 1 3
3 3 3
0 0 3
1 3 3
10 3
0 2 0
2 1 0
2 1 3
0 1 3
2 3 3
3 0 2
3 1 1
0 0 2
2 2 1
1 1 0
10 6
2 1 2
5 3 5
2 5 5
1 0 4
0 1 2
1 2 5
3 3 3
0 5 1
3 0 0
2 4 4
10 9
0 1 0
1 2 0
0 2 0
1 2 2
1 0 2
1 1 2
2 0 2
1 0 1
2 2 2
0 0 2
10 9
1 2 2
0 1 3
3 3 2
0 1 1
3 0 3
1 2 1
3 0 0
2 2 1
2 0 1
3 3 1
10 9
2 2 1
1 1 1
1 3 4
3 0 4
1 2 1
3 1 1
2 3 4
4 3 0
1 1 0
2 1 1
10 3
0 2 2
2 1 2
1 0 0
1 1 2
1 2 2
0 1 1
1 0 2
0 1 2
0 2 0
0 0 1
10 3
1 2 3
4 3 3
0 0 1
4 4 0
2 4 5
3 5 5
0 4 1
4 0 0
3 4 2
0 5 2
10 3
0 1 0
0 2 2
1 1 1
2 2 1
1 0 2
2 0 0
1 2 1
0 0 0
1 1 2
0 1 2
10 3
1 2 2
5 2 5
5 1 4
1 1 3
4 4 2
5 5 4
2 1 3
0 5 0
0 0 2
0 5 3
10 3
4 4 2
3 2 0
5 5 4
2 1 3
0 2 4
3 1 3
4 1 3
1 1 1
3 3 4
1 0 1
10 2
1 1 0
3 3 3
0 3 2
0 1 2
3 3 2
0 3 0
1 1 1
3 2 2
2 1 2
1 1 2
10 7
5 1 3
3 5 1
1 3 3
3 3 2
4 4 4
2 3 5
1 4 1
4 4 5
1 4 4
2 2 4
10 6
0 1 0
2 0 0
3 1 1
3 2 3
1 2 1
3 1 2
2 1 1
3 1 3
2 2 2
3 1 0
10 8
2 3 2
3 1 2
1 1 1
3 0 2
2 1 2
1 2 0
3 1 0
0 1 0
1 1 0
2 1 0
10 7
2 1 2
3 1 0
2 2 0
3 1 4
4 5 2
4 4 3
1 1 4
4 2 2
2 0 0
3 5 3
10 6
1 0 2
1 2 0
1 0 1
1 2 2
0 0 2
2 0 0
0 0 1
0 2 2
2 2 2
2 2 1
10 5
3 1 2
1 1 3
2 0 0
0 3 1
0 0 2
3 0 3
0 3 0
0 1 1
3 0 0
1 3 0
10 9
5 3 0
2 3 2
4 1 2
2 0 0
1 1 2
3 1 4
5 5 0
1 5 0
2 3 1
0 1 3
10 4
2 0 0
1 1 3
4 1 0
2 1 3
2 0 3
1 4 3
4 1 2
4 1 4
2 1 0
3 0 3
10 3
2 0 0
1 2 2
1 3 1
3 0 3
2 2 0
1 1 2
2 2 1
0 3 1
3 1 2
1 1 1
10 2
0 4 0
4 1 0
3 4 4
4 1 1
0 0 4
3 3 1
3 3 2
0 0 0
1 3 0
1 4 2
10 8
2 4 2
5 1 5
1 2 3
4 5 0
5 3 4
4 4 0
3 0 2
2 4 4
1 4 3
0 2 3
10 5
1 1 3
3 1 3
3 3 0
3 2 2
2 2 2
0 0 0
0 0 3
1 3 1
3 0 3
1 1 0
10 8
0 1 2
2 0 2
2 2 2
1 1 2
0 0 2
0 0 1
1 2 0
1 0 1
1 1 0
0 1 1
10 6
2 4 0
1 0 0
1 2 4
0 4 5
4 4 3
5 0 3
4 0 3
1 5 2
0 3 4
5 1 2
10 6
1 1 4
1 0 1
5 4 1
4 2 5
2 4 2
3 4 0
4 3 2
3 1 2
3 3 0
1 5 0
10 6
0 2 0
2 2 2
1 0 1
2 1 2
0 0 2
0 1 0
2 2 0
1 2 2
0 0 1
2 0 0
10 6
0 1 2
0 3 1
3 1 1
2 1 0
1 0 1
3 0 1
3 0 2
2 2 1
1 1 2
2 0 3
10 9
3 0 3
1 3 2
0 2 2
2 3 2
0 3 2
3 0 2
2 1 2
3 0 0
2 0 1
1 2 2
10 4
3 4 3
1 0 3
4 3 0
0 0 3
3 3 4
3 1 2
2 4 4
4 0 1
0 3 2
0 3 4
10 4
1 5 1
1 4 5
0 4 5
5 5 0
0 5 1
5 3 2
4 3 2
4 3 0
1 5 2
5 2 3
10 6
1 0 3
1 0 0
3 3 1
2 3 2
1 1 3
0 2 0
1 3 1
2 1 2
1 0 1
0 3 1
10 9
2 2 2
2 2 0
0 2 1
2 1 2
2 0 1
1 0 2
0 1 1
2 0 2
2 0 0
0 2 2
10 4
1 1 3
0 3 2
3 3 2
1 2 0
1 0 3
1 0 1
2 0 3
2 3 1
3 0 0
2 3 2
10 6
3 0 3
3 1 2
1 3 1
0 1 1
1 2 2
2 3 0
1 3 0
1 3 3
1 2 1
2 0 1
10 7
0 1 1
1 0 1
0 0 2
1 1 3
3 3 2
2 0 2
1 3 0
2 2 2
2 3 2
0 3 1
10 6
1 1 2
1 2 0
0 2 2
0 0 1
0 1 0
2 1 2
2 0 2
1 0 2
1 1 0
2 0 1
10 5
3 5 5
0 0 1
1 1 3
4 0 4
5 1 5
0 1 3
5 1 3
4 1 0
5 5 1
3 1 2
10 3
2 1 2
0 0 0
0 2 2
2 0 1
2 0 2
2 2 2
1 1 2
1 0 2
2 2 1
1 0 1
10 8
0 1 0
1 3 3
5 4 1
1 4 4
1 3 2
3 4 5
3 0 1
2 4 2
4 3 2
0 4 1
10 6
1 2 3
1 1 0
2 0 3
3 0 3
0 2 3
3 2 2
2 3 3
2 2 0
3 0 1
1 2 1
10 2
1 0 2
2 1 2
1 0 0
2 1 1
0 1 2
1 1 0
1 1 2
0 0 2
1 2 0
2 2 0
10 2
0 3 0
2 5 1
0 4 3
2 2 3
5 4 5
3 4 5
2 1 2
2 5 5
4 0 1
2 2 0
10 6
2 3 4
4 3 2
2 0 4
3 0 0
4 1 4
1 0 1
4 0 3
0 0 4
1 4 3
1 0 4
10 7
0 0 2
1 0 0
2 0 0
1 1 1
0 1 0
1 2 0
1 1 2
0 1 1
2 2 2
2 1 1
10 3
2 4 2
4 0 4
3 3 4
1 0 3
2 1 2
0 1 4
0 1 2
4 4 4
4 4 1
4 0 3
10 8
2 0 1
0 2 2
1 2 1
0 3 3
0 1 2
3 1 3
1 1 3
3 3 2
0 3 2
2 3 3
10 2
3 4 3
5 3 2
4 1 5
0 5 5
1 3 0
0 1 4
0 0 1
2 1 1
5 2 0
4 0 2
10 3
0 2 0
0 0 1
2 0 1
0 1 2
0 0 0
0 0 2
1 1 2
0 1 0
0 1 1
2 1 0
10 9
0 3 1
0 2 3
1 3 3
2 3 1
3 1 3
0 3 2
2 3 3
0 1 3
1 3 0
0 1 1
10 5
5 1 5
4 2 2
3 3 5
1 0 0
5 1 0
5 5 0
4 1 2
5 4 3
2 2 2
4 3 4
10 2
2 4 3
2 4 4
1 4 2
0 1 0
2 1 2
3 1 1
1 2 0
0 4 1
2 3 1
0 4 2
10 8
0 5 4
3 2 2
1 1 1
5 4 1
2 0 4
5 1 0
4 4 5
1 4 2
5 5 2
4 4 4
10 2
0 2 1
2 0 2
1 2 0
1 2 1
2 1 2
1 1 0
0 0 1
0 0 0
2 0 0
1 0 0
10 6
1 1 4
0 2 1
3 1 1
3 2 3
4 4 2
4 1 4
2 3 1
3 0 0
1 1 2
4 1 0
10 3
3 3 1
2 0 2
0 0 3
2 0 1
2 2 2
1 3 1
2 0 0
0 1 1
0 3 0
2 1 1
10 6
2 3 1
1 2 0
0 0 0
0 1 1
0 2 1
3 2 1
0 3 0
0 0 1
2 0 2
2 0 3
10 7
2 2 2
0 2 1
3 1 0
2 1 3
1 3 0
2 1 1
0 3 3
0 3 2
3 4 1
0 1 4
10 9
1 1 1
0 3 1
0 3 3
2 3 0
1 2 1
0 2 1
2 0 0
2 0 1
1 3 3
2 3 3
10 7
3 3 0
2 3 3
0 1 1
1 2 1
3 3 3
0 1 0
1 1 1
0 2 0
3 1 1
0 3 1
10 9
1 0 1
0 2 2
0 2 1
2 1 2
2 1 0
0 0 0
0 1 2
0 1 0
2 1 1
2 2 0
10 5
2 2 0
2 2 2
0 2 1
2 0 1
0 0 0
2 2 1
1 2 1
2 0 0
1 1 2
0 1 1
10 6
2 2 1
1 2 0
2 0 2
1 0 1
0 2 0
2 0 1
0 1 2
1 2 1
2 1 0
1 2 2
10 7
3 2 3
4 1 2
1 1 2
1 0 3
1 3 4
3 0 1
4 3 1
2 1 2
4 4 2
4 4 0
10 4
0 2 1
3 0 0
2 1 0
1 2 0
0 3 0
3 3 2
1 1 1
3 0 3
4 0 0
4 0 4
10 8
4 4 1
2 4 2
3 0 4
0 3 1
1 3 0
3 3 2
2 4 4
1 1 0
1 1 2
0 4 4
10 6
2 1 1
1 3 3
1 4 4
2 5 5
1 2 0
5 1 2
5 2 1
0 4 0
0 4 1
2 2 1
10 7
1 3 0
1 3 2
1 2 1
1 2 2
2 2 0
1 1 3
1 2 0
3 1 2
3 1 1
2 0 0
10 2
0 1 2
1 3 2
5 5 2
4 1 0
4 3 0
5 1 1
3 5 5
2 4 2
4 2 1
1 4 1
10 6
3 3 2
0 0 0
2 1 0
1 3 0
1 1 2
2 2 1
2 2 3
2 1 1
3 0 3
1 2 1
10 8
3 0 0
4 0 3
0 2 4
4 4 3
2 1 2
0 3 0
2 3 2
0 4 3
3 3 1
0 3 1
10 4
2 1 4
1 2 1
4 2 4
1 4 0
1 2 3
2 3 3
2 4 3
1 2 4
2 0 2
2 2 3
10 2
1 0 1
0 2 0
4 1 2
1 2 1
0 1 2
4 0 3
2 4 0
3 2 1
1 4 4
4 4 4
10 2
3 5 2
4 5 1
2 4 0
5 1 2
0 4 5
1 2 1
0 4 1
0 3 3
0 3 0
2 4 5
10 5
4 0 0
3 0 0
2 3 1
4 3 1
4 3 3
3 0 4
2 4 2
4 3 4
3 4 0
4 2 4
10 7
1 1 0
1 1 3
2 2 1
1 3 1
1 3 2
3 0 3
1 2 3
3 0 2
1 0 0
3 1 2
10 7
1 3 3
0 2 1
4 1 0
3 2 5
2 5 4
2 4 0
3 3 4
5 3 4
0 1 4
0 2 3
10 9
1 2 0
1 2 2
2 0 2
2 2 2
0 2 0
1 2 1
0 2 2
1 1 2
2 0 0
0 0 1
10 3
3 2 1
2 0 2
2 2 2
0 2 3
4 3 4
4 2 4
2 1 0
0 1 0
1 2 3
1 3 2
10 3
0 0 2
1 2 0
2 2 1
0 0 0
1 1 2
2 1 0
1 1 1
0 1 2
1 1 0
2 1 2
10 3
1 0 2
2 2 2
0 0 0
0 0 2
1 0 1
1 2 1
2 0 1
2 0 0
2 1 0
0 2 2
10 6
3 3 2
3 2 3
3 0 3
3 0 0
3 2 2
2 2 1
1 0 3
2 1 1
2 2 2
0 3 3
10 2
1 4 2
4 4 1
1 0 3
0 1 1
3 3 3
2 3 2
0 1 3
4 3 3
2 2 1
1 0 4
10 8
1 0 2
2 1 0
2 1 1
0 0 1
2 0 1
0 1 1
1 1 2
2 0 2
0 2 2
1 2 0
10 8
2 1 0
0 0 2
0 1 1
1 2 0
0 0 0
0 2 1
2 1 1
0 2 0
1 0 0
2 1 2
10 9
0 0 3
1 5 0
3 2 1
0 4 1
3 5 4
4 1 2
5 5 3
0 5 5
0 5 4
2 4 3
10 6
4 0 4
0 4 1
0 0 2
0 4 4
0 2 4
0 1 0
2 0 2
1 3 3
1 2 0
0 3 1
10 6
1 1 0
2 2 2
2 1 1
1 2 2
2 1 0
2 0 2
0 0 1
2 2 1
0 2 0
0 1 2
10 8
5 1 1
3 0 4
1 3 1
2 5 5
2 4 5
3 5 0
2 4 4
1 2 1
1 4 5
0 1 4
10 4
0 1 3
2 2 3
0 0 3
2 2 0
2 1 3
2 2 1
1 3 1
3 3 0
1 2 3
0 2 1
10 7
0 0 0
2 2 2
0 1 0
1 0 1
1 2 0
1 1 0
0 2 0
0 2 1
2 1 0
0 2 2
10 5
0 2 0
0 1 0
1 0 2
2 1 1
0 0 0
0 2 2
1 2 1
1 1 2
1 1 1
1 1 0
10 9
1 1 0
0 2 2
2 2 0
1 0 2
2 0 1
2 0 0
2 1 0
2 1 1
1 2 0
1 2 1
10 5
3 0 2
1 3 3
3 1 3
1 2 3
1 0 3
1 2 1
2 1 0
2 3 2
3 3 3
3 2 1
10 8
0 0 0
2 2 0
2 3 1
1 1 2
0 4 0
0 0 3
1 2 0
2 4 0
0 0 4
2 0 0
10 6
3 3 4
3 4 2
2 4 2
0 4 2
3 2 1
1 3 2
3 0 3
1 3 1
0 3 4
1 2 2
10 7
1 5 0
4 2 3
4 2 1
3 4 3
2 1 5
0 1 1
3 5 1
1 3 2
1 0 4
0 2 2
10 5
1 0 0
2 0 2
1 2 1
0 2 0
1 1 0
2 0 1
0 2 1
2 2 2
0 1 2
1 2 2
10 8
1 2 1
0 1 1
2 0 0
0 0 0
1 0 2
2 1 2
2 0 1
1 1 2
2 2 1
1 1 0
10 6
1 5 1
2 2 3
4 2 1
2 1 5
3 4 3
1 1 0
5 0 4
0 5 4
5 2 0
0 3 0
10 9
2 3 1
3 1 1
1 3 1
3 1 0
0 1 2
3 3 2
0 0 1
2 2 1
3 0 0
3 2 0
10 4
4 2 0
1 4 1
3 3 4
0 0 1
0 4 4
2 2 0
1 3 0
1 2 3
2 1 1
4 0 4
10 3
1 1 2
1 3 2
2 2 0
0 5 4
5 1 3
3 4 1
0 2 2
1 5 0
1 0 4
0 3 5
10 4
5 4 3
1 0 5
5 3 2
5 5 1
1 5 3
1 1 5
5 1 5
2 0 4
2 5 5
3 1 3
10 9
0 2 2
2 1 2
2 0 1
1 2 0
0 1 1
0 0 0
0 0 3
3 1 3
3 1 2
3 1 0
10 3
1 0 2
0 3 1
1 3 3
0 0 2
2 3 0
2 1 2
1 3 1
0 2 2
3 2 2
2 2 3
10 6
5 1 1
4 0 2
2 0 1
1 2 4
1 5 3
0 1 3
3 5 4
2 4 5
4 3 2
4 3 1
10 6
1 3 0
3 1 3
3 0 3
0 3 3
3 0 2
1 2 1
3 0 0
2 3 0
1 3 2
0 0 0
10 3
0 1 2
2 0 0
1 0 2
0 0 1
0 2 2
1 1 2
2 2 0
1 0 0
0 2 1
2 1 0
10 5
2 2 2
0 0 2
1 1 1
2 0 2
2 2 1
1 0 0
1 2 0
2 2 0
1 0 2
2 1 1
10 4
2 1 2
0 2 2
2 1 0
0 0 2
1 1 0
1 2 0
2 2 1
1 2 2
0 2 1
2 0 0
10 9
2 0 3
1 2 1
3 0 2
1 1 3
3 3 0
1 1 1
2 1 3
3 3 3
0 2 2
0 3 0
10 6
0 2 3
2 2 3
2 2 1
1 3 1
2 0 2
0 1 2
1 3 2
0 3 1
2 1 0
0 3 2
10 2
2 1 0
1 0 0
1 0 2
2 0 0
1 2 3
0 0 3
1 1 2
2 2 0
3 0 3
2 3 3
10 4
0 1 0
0 1 1
1 1 2
2 0 0
0 0 0
0 2 0
2 1 0
1 2 2
2 0 2
2 2 2
10 9
0 1 0
0 2 2
2 2 0
2 0 0
0 0 2
0 1 2
1 0 0
1 1 1
2 2 2
1 0 2
10 3
0 1 1
4 3 2
0 0 2
2 4 0
1 3 2
4 1 2
2 3 2
1 0 3
2 2 4
1 2 0
10 3
2 1 3
4 2 3
3 0 5
1 4 1
1 1 0
5 2 5
1 4 5
0 2 2
0 2 0
4 2 2
10 5
0 1 2
2 2 0
1 2 2
1 2 0
2 0 2
2 1 2
0 1 1
1 2 1
1 0 0
2 0 0
10 4
0 4 2
3 4 2
0 1 3
2 1 1
4 0 4
2 1 3
3 0 2
2 0 0
3 4 3
1 4 3
10 5
1 2 0
0 1 1
0 2 0
2 1 1
2 0 2
1 0 2
2 2 2
0 0 1
1 1 1
2 0 1
10 6
3 1 3
5 2 3
1 0 3
0 0 0
2 5 5
5 3 0
4 4 2
2 3 2
4 2 2
0 4 1
10 3
1 3 4
3 1 2
4 2 1
2 1 1
3 2 4
0 2 4
2 2 1
0 2 1
4 4 0
3 3 4
10 3
1 0 1
4 4 2
0 0 2
3 3 4
2 3 4
2 2 4
3 4 4
1 1 4
1 4 0
3 2 3
10 6
3 1 2
2 1 0
3 2 1
3 0 0
1 0 3
0 1 3
1 3 0
0 0 3
2 3 3
2 3 1
10 3
1 2 2
0 1 3
1 3 3
2 1 0
4 2 1
2 0 2
3 2 3
0 1 1
3 3 1
4 3 4
10 5
1 1 1
0 0 2
1 0 2
2 0 0
1 2 2
2 1 2
0 2 1
2 2 2
1 2 1
0 1 2
10 7
1 1 0
0 0 2
1 2 2
0 2 0
0 0 1
0 2 1
2 2 0
2 1 2
0 1 0
2 1 0
10 8
1 2 1
2 0 2
0 1 0
0 2 1
0 0 2
2 2 2
0 0 1
2 2 0
0 1 2
0 1 1
10 4
3 5 0
3 0 2
4 0 1
4 4 2
4 4 4
1 0 1
2 3 4
4 1 3
1 0 0
4 2 0
10 7
4 0 0
2 1 1
1 3 0
0 0 3
1 4 0
4 3 2
2 2 2
3 0 3
1 3 1
2 2 3
10 9
2 2 2
2 0 0
1 1 0
0 0 0
2 1 1
1 1 2
2 1 0
0 1 0
1 1 1
2 2 0
10 4
2 0 1
0 1 1
0 2 1
1 1 2
0 0 2
0 0 0
1 2 1
0 2 2
1 0 2
0 1 2
10 9
1 0 2
1 2 0
1 0 1
1 2 2
2 2 1
2 0 1
0 2 1
2 2 0
0 2 0
0 0 1
10 5
1 2 3
4 4 2
1 4 4
4 4 1
1 1 4
3 4 3
4 2 3
1 4 2
2 0 0
3 3 0
10 7
0 4 1
1 1 2
0 2 3
2 3 2
4 2 3
4 2 0
0 0 4
3 0 1
0 0 2
4 1 0
10 2
1 0 0
1 2 2
1 0 1
0 2 2
1 2 1
1 2 0
2 1 0
2 0 0
0 0 0
0 2 1
10 4
3 1 3
0 2 3
1 3 3
1 0 2
1 3 1
1 2 2
3 0 0
1 3 0
2 0 3
0 2 1
10 2
1 2 1
1 1 0
0 2 1
2 0 1
2 2 1
2 1 0
0 1 0
2 1 1
0 0 0
1 0 0
10 3
2 1 2
0 0 2
2 2 0
1 1 2
1 1 0
0 2 2
2 0 0
0 1 0
0 1 1
0 1 2
10 6
5 3 5
1 0 5
2 3 5
2 4 0
3 1 0
0 0 1
5 2 0
5 1 4
3 0 1
3 2 0
10 7
5 0 2
4 0 3
3 3 4
1 5 1
2 3 3
4 4 2
3 1 0
2 5 1
1 3 1
2 0 4
10 3
0 1 3
4 2 5
0 5 0
3 2 4
5 1 3
5 2 1
4 1 3
4 3 3
3 0 5
2 4 0
10 3
1 1 2
0 3 0
0 3 2
3 3 4
3 0 1
5 0 2
1 5 5
2 5 0
0 3 3
3 2 3
10 6
0 2 0
2 1 2
0 1 2
0 1 1
0 2 1
1 0 0
2 0 1
1 1 0
1 2 1
0 0 0
10 5
2 2 0
0 1 2
1 1 2
2 1 0
0 0 2
2 1 1
1 0 2
2 0 2
0 2 1
0 2 0
10 3
2 1 1
0 2 0
1 0 1
2 2 1
0 0 2
2 2 2
2 2 0
2 1 0
1 1 1
1 0 2
10 8
1 1 2
1 0 1
2 2 2
1 1 0
0 2 1
0 2 0
2 1 2
0 0 1
2 0 1
2 1 0
10 3
1 0 2
2 2 0
2 2 3
0 4 2
3 2 2
1 0 3
4 4 3
4 4 4
4 3 4
3 0 2
10 4
4 3 4
4 4 5
4 4 4
0 1 5
3 2 1
1 4 1
3 1 0
4 1 3
4 0 1
3 5 3
10 7
2 1 1
2 4 3
4 4 2
1 2 1
2 1 2
0 2 2
0 0 0
2 1 0
1 0 1
0 1 2
10 5
4 3 2
4 2 5
2 5 3
0 3 5
1 4 0
1 2 2
5 3 5
5 4 0
0 4 2
5 5 5
10 3
4 4 3
0 3 0
4 0 2
2 4 3
1 4 2
2 4 0
0 0 1
4 0 4
3 3 3
3 1 2
10 8
3 1 3
2 0 1
1 0 0
0 2 3
2 3 0
1 3 1
0 1 1
1 3 3
2 3 1
0 0 1
10 5
1 0 0
2 2 1
0 0 1
0 2 2
0 1 0
0 0 0
1 2 0
2 0 0
0 1 1
1 1 0
10 5
2 3 3
3 5 0
3 4 3
2 2 4
3 3 3
4 5 2
1 2 4
3 3 0
1 2 3
0 0 5
10 9
3 2 3
1 1 1
2 3 3
0 1 0
0 3 0
3 1 0
2 0 1
0 3 2
0 0 2
0 2 1
10 9
2 2 1
3 3 2
1 1 1
2 2 0
3 2 3
3 4 3
2 4 0
4 1 1
4 4 1
4 3 4
10 5
5 5 5
0 5 5
2 2 0
3 4 4
2 5 0
5 2 5
3 1 4
5 0 5
2 2 1
2 4 3
10 9
3 2 3
0 0 0
4 2 3
3 4 1
4 2 2
0 1 3
2 1 3
3 3 2
4 4 2
1 3 4
10 4
1 1 1
0 1 0
1 2 2
2 2 1
1 1 2
0 2 0
1 2 1
1 2 0
0 1 2
1 1 0
10 4
1 0 2
2 2 1
2 2 0
2 1 1
0 1 1
0 2 1
0 1 2
1 1 1
2 0 2
0 0 2
10 2
0 2 0
2 1 1
0 2 2
0 1 1
0 1 0
2 0 1
1 1 1
2 1 0
2 2 0
0 2 1
10 3
3 3 2
0 3 1
1 0 3
0 2 1
0 0 1
3 3 0
1 1 1
2 3 0
2 0 2
1 2 1
10 4
2 1 0
2 3 2
1 1 0
3 0 3
2 2 1
1 0 1
0 3 0
3 3 3
3 1 1
1 1 3
10 8
3 1 2
4 4 0
1 0 2
1 4 0
1 2 1
2 2 0
2 3 2
0 0 1
3 0 1
0 1 0
10 9
0 2 3
0 3 2
0 4 4
2 3 1
3 3 0
2 2 4
4 0 3
1 0 4
2 0 4
2 2 2
10 4
0 1 0
0 2 2
2 1 2
2 1 1
2 0 2
1 2 0
2 1 0
2 0 0
0 0 2
0 0 1
10 2
1 5 1
5 4 0
5 3 4
0 5 4
0 4 3
1 3 4
5 2 1
5 4 3
1 0 5
0 1 3
10 5
1 2 1
0 1 1
1 1 0
1 1 2
1 0 2
1 1 1
0 2 2
2 0 0
2 2 0
1 0 0
10 7
1 2 5
4 5 2
0 1 0
1 4 5
1 0 4
4 1 4
3 2 2
0 1 3
1 4 3
5 1 4
10 6
2 2 1
1 1 2
1 2 1
1 2 2
0 0 1
0 2 1
2 2 2
2 1 1
2 0 2
2 2 0
10 9
4 1 3
4 4 0
0 1 3
1 4 2
1 0 1
3 4 1
1 3 3
1 1 2
0 3 2
0 2 2
10 6
1 3 5
2 0 5
5 2 2
3 1 3
0 5 4
0 4 4
2 3 0
2 2 4
4 3 3
4 5 3
10 2
1 3 2
4 2 4
2 2 0
4 4 0
2 3 3
1 2 3
0 4 1
2 4 2
1 2 0
0 3 3
10 8
0 3 2
2 0 0
3 4 2
1 4 4
3 3 2
3 1 0
1 2 2
0 3 3
0 3 4
3 0 0
10 8
1 2 4
4 1 4
1 1 1
0 4 0
0 2 0
3 2 1
0 4 1
4 3 0
1 2 0
3 2 3
10 2
0 2 0
2 2 0
2 0 2
1 0 2
2 0 1
1 0 1
1 1 0
1 2 2
1 1 1
0 2 1
10 2
1 2 1
0 1 0
0 1 1
1 2 0
1 0 1
2 2 0
2 2 2
1 1 0
2 1 1
2 1 2
10 7
1 5 0
2 3 0
3 4 1
5 5 4
0 4 5
3 0 5
5 1 3
4 4 0
3 5 0
4 0 2
10 4
4 0 1
0 2 3
4 1 4
4 2 0
4 2 3
4 3 4
2 4 0
3 2 1
2 0 2
4 1 3
10 6
4 2 2
4 0 2
0 1 4
2 4 0
1 4 2
3 1 1
1 3 3
0 0 2
1 0 4
3 2 0
10 6
3 3 3
3 1 1
3 0 3
0 0 3
0 2 2
2 3 3
3 1 0
2 1 2
0 0 0
2 2 1
10 2
0 4 0
4 2 0
2 2 1
4 4 0
3 3 1
0 0 0
4 4 4
1 4 4
2 1 1
0 2 4
10 8
4 3 5
1 2 5
2 4 2
0 0 4
2 3 2
0 2 1
1 4 2
0 4 2
3 3 5
4 3 0
10 2
0 4 2
1 5 5
1 4 3
0 4 3
2 1 1
4 0 3
0 2 0
5 0 4
4 3 4
2 1 0
10 2
0 1 2
2 0 2
0 2 2
2 1 2
0 1 1
0 0 0
2 1 1
1 0 0
2 1 0
0 0 1
10 6
2 2 1
2 0 0
0 4 3
4 4 4
3 0 2
0 3 2
4 0 1
4 2 2
2 4 0
1 2 1
10 2
4 5 1
5 2 2
3 4 0
5 1 0
0 4 3
2 5 3
1 3 5
1 1 2
1 2 1
5 2 3
10 8
3 4 3
0 3 4
1 3 3
2 2 4
1 2 0
0 0 2
0 1 3
1 0 4
3 0 4
0 4 4
10 6
1 0 3
0 0 1
1 2 5
5 4 5
3 5 5
1 1 4
1 3 3
1 5 2
4 2 4
4 2 2
10 3
5 3 0
3 5 5
1 2 2
4 1 0
1 3 3
5 5 2
5 1 5
2 3 2
5 0 0
1 2 1
10 2
4 5 0
2 0 5
3 5 2
0 3 0
4 2 5
5 2 0
4 3 2
4 3 4
4 4 3
0 0 4
10 8
1 1 3
2 1 2
0 2 3
3 3 3
0 0 0
2 2 1
2 0 2
1 1 1
2 0 3
1 2 2
10 7
3 2 1
1 2 0
0 0 5
0 3 2
1 0 5
1 1 2
1 3 3
3 0 4
0 1 0
1 5 0
10 9
2 0 0
2 2 2
1 0 0
0 2 2
1 0 2
2 1 2
0 2 1
1 2 0
0 1 2
2 1 1
10 7
3 1 1
3 3 3
0 3 2
2 3 1
2 1 3
1 0 3
1 0 1
0 2 3
3 1 3
2 3 0
10 7
1 0 3
0 0 3
2 3 1
0 1 2
0 2 3
1 3 0
2 2 2
3 1 3
1 3 2
0 0 0
10 5
2 0 5
4 5 1
4 3 5
0 5 5
5 1 0
5 4 5
0 4 4
0 5 0
5 1 2
1 3 4
10 6
2 0 0
1 2 2
2 1 1
0 0 2
0 0 1
1 0 0
1 1 1
1 1 2
0 2 1
0 1 1
10 9
5 1 5
3 2 2
5 5 5
4 4 5
1 2 5
2 2 0
0 3 0
5 2 0
0 4 0
4 4 0
10 3
2 2 2
2 2 1
1 0 2
1 0 0
1 0 1
0 1 3
0 3 2
3 2 3
2 2 3
1 2 0
10 7
2 2 0
0 3 3
1 1 3
2 3 3
1 1 0
1 0 1
1 2 0
3 2 0
2 1 1
2 0 2
10 5
1 2 1
2 3 2
2 3 3
2 3 1
3 1 1
1 0 2
2 0 1
1 0 0
0 0 0
3 1 2
10 4
0 4 3
2 3 3
0 3 0
3 0 4
2 4 0
4 1 0
1 2 0
4 2 3
4 3 2
2 3 2
10 3
3 3 1
3 2 2
2 0 0
1 3 3
2 1 4
1 1 1
2 3 3
0 4 3
3 2 3
1 1 0
10 6
5 2 3
1 1 1
1 0 5
5 1 2
3 3 3
0 3 0
5 3 0
1 1 4
1 0 2
1 3 3
10 5
1 1 3
1 3 3
3 2 2
2 3 3
3 2 1
2 2 0
2 1 1
2 0 3
3 2 3
2 3 1
10 3
2 3 1
3 1 0
3 0 1
1 0 2
1 3 0
3 1 1
0 3 1
0 3 2
3 1 3
2 2 2
10 7
3 2 2
3 1 2
2 2 1
2 3 2
2 0 3
0 1 3
0 2 2
1 3 0
1 2 0
1 1 3
10 4
4 5 2
1 4 2
3 2 0
1 2 3
3 3 5
0 2 1
5 0 3
5 0 0
3 5 1
3 4 3
10 9
2 0 0
3 1 3
0 5 3
2 5 4
4 2 5
1 1 2
4 3 5
2 2 3
0 0 1
3 2 1
10 2
1 1 0
2 0 2
2 1 0
1 0 2
1 2 0
1 0 1
2 2 2
0 2 1
1 1 2
2 1 2
10 5
2 4 1
4 4 4
1 3 2
0 2 4
1 3 1
3 0 2
1 3 0
0 3 2
3 0 0
0 4 2
10 7
1 1 0
1 0 2
2 1 0
2 0 2
0 2 0
2 0 0
0 1 0
1 0 0
1 2 1
0 2 1
10 4
4 2 5
5 4 2
3 4 1
1 3 3
2 3 2
3 1 2
5 5 3
0 3 2
0 0 1
5 2 4
10 5
4 3 4
0 4 3
1 1 0
2 4 4
1 3 1
0 1 3
1 2 4
2 2 1
4 4 2
0 1 4
10 6
0 1 0
2 0 2
0 0 1
2 2 3
3 2 3
2 2 0
2 3 1
3 3 1
1 2 2
2 2 1
10 2
2 0 0
1 1 0
0 0 2
5 5 3
1 0 4
4 4 3
3 4 2
3 1 1
1 2 1
1 3 1
10 5
1 3 4
3 4 1
3 0 1
0 1 3
0 2 0
3 0 0
3 2 4
1 5 3
0 0 4
0 3 2
10 8
2 3 0
2 1 2
1 3 2
3 1 4
2 2 0
4 4 4
3 1 1
3 4 1
0 0 4
3 1 2
10 7
3 4 2
0 4 1
3 3 4
0 0 3
3 0 2
2 3 0
1 3 3
1 0 1
2 2 2
2 4 0
10 3
1 2 3
0 2 2
0 0 3
3 0 0
2 2 1
1 1 2
1 2 0
0 0 0
3 2 2
1 0 2
10 6
1 2 2
2 2 1
2 2 0
0 2 1
1 0 0
0 2 2
1 1 0
2 1 0
1 1 1
0 1 2
10 4
3 2 0
1 2 1
2 2 1
1 0 3
0 2 2
1 1 3
1 3 1
2 0 1
0 3 3
2 0 2
10 3
3 0 3
1 3 0
2 0 3
2 3 1
2 0 0
2 2 1
0 1 0
1 1 3
0 0 1
1 2 0
10 9
1 3 1
0 3 3
2 2 4
0 1 3
1 1 2
3 3 1
3 1 3
0 2 0
1 4 2
2 2 0
10 4
4 3 4
4 2 0
3 0 2
4 2 1
3 4 3
2 2 2
4 1 1
1 1 2
3 4 1
0 3 2
10 4
1 2 2
0 1 2
0 3 0
1 2 1
2 3 3
0 2 1
1 0 0
3 1 2
1 2 0
3 0 1
10 6
3 3 5
2 1 0
5 4 3
0 1 4
3 1 1
4 5 4
1 1 1
3 5 1
3 1 2
3 2 1
10 9
0 5 4
5 0 5
1 1 4
0 1 5
2 0 4
4 3 2
0 1 0
0 5 2
1 3 4
2 2 5
10 9
1 1 4
2 1 2
4 4 0
4 0 2
4 3 4
4 0 0
3 0 3
4 3 1
1 1 1
1 4 0
10 9
1 2 3
0 3 0
0 0 2
0 1 2
3 4 2
2 2 4
2 2 0
4 3 2
2 1 3
4 3 3
10 3
1 2 2
0 0 0
2 0 2
1 1 2
1 0 0
1 1 0
1 0 2
1 2 0
2 1 0
0 2 2
10 3
1 5 2
3 5 4
3 3 0
2 0 4
2 5 0
0 0 2
5 5 0
4 3 2
0 2 1
4 0 1
10 3
2 0 3
2 5 5
1 3 2
0 0 1
0 4 4
4 1 2
4 3 1
4 0 5
3 2 5
1 2 1
10 9
1 0 0
0 1 1
0 1 2
1 1 0
0 0 2
1 2 2
2 2 2
1 1 2
0 2 0
2 2 1
10 7
0 0 3
3 1 3
0 0 2
3 0 1
3 0 0
0 2 1
2 2 3
1 0 2
0 2 0
2 3 3
10 2
2 0 3
4 2 2
1 4 2
1 3 2
2 2 4
1 1 0
1 4 0
0 3 1
1 3 1
0 2 3
10 9
4 0 3
5 2 4
3 2 1
1 1 0
3 2 0
1 4 0
4 1 1
2 5 0
5 5 5
1 0 4
10 4
3 3 2
0 0 2
2 3 0
2 2 1
0 3 3
2 3 1
3 1 0
0 0 3
2 0 3
1 0 2
10 6
2 2 2
1 2 1
2 1 0
0 2 1
0 0 0
1 1 2
2 2 1
2 2 0
1 0 1
1 0 0
10 7
1 1 0
1 1 2
2 0 0
0 2 1
2 0 2
1 2 0
1 0 0
1 0 1
0 1 0
1 0 2
10 7
0 0 5
2 5 5
2 4 4
5 3 1
3 5 1
1 1 4
0 2 1
5 5 5
3 0 3
4 5 4
10 6
1 0 0
1 1 2
2 1 0
0 0 0
0 2 0
1 1 1
0 2 1
2 1 2
2 0 0
0 1 0
10 7
2 0 2
3 3 4
3 0 3
4 1 4
1 3 3
2 3 1
4 2 4
2 0 1
1 2 1
3 0 1
10 9
3 3 0
3 2 3
3 1 1
3 4 3
1 3 2
0 2 2
0 4 2
2 0 3
4 4 2
4 2 2
10 3
3 3 0
0 4 4
0 3 4
0 2 4
4 4 3
1 1 4
2 0 3
0 3 3
1 0 3
3 2 0
10 6
4 2 2
1 5 4
0 0 0
5 3 5
4 5 4
4 1 0
5 5 1
3 1 2
4 0 5
3 3 0
10 8
1 2 3
0 1 4
1 3 5
2 0 4
1 1 4
5 4 0
2 5 0
0 5 0
4 4 3
3 1 0
10 7
1 0 2
1 0 3
2 3 4
2 3 0
4 4 2
4 3 1
1 2 1
1 3 4
3 2 1
2 4 1
10 6
3 1 5
3 3 2
5 3 1
1 2 3
2 4 3
4 2 4
5 0 3
5 0 1
4 5 1
3 2 0
10 6
2 4 4
5 4 3
2 2 3
3 4 0
4 4 5
5 4 2
0 0 3
1 2 3
5 3 3
3 5 0
10 4
5 4 4
3 0 4
0 5 0
0 1 0
5 4 5
1 0 5
4 5 1
0 3 5
5 0 0
2 3 1
10 3
3 2 4
1 4 1
3 4 0
1 1 2
1 4 4
3 4 2
2 3 3
4 0 0
0 4 1
4 1 4
10 9
3 0 3
2 2 1
3 1 1
2 1 2
2 1 3
2 3 2
3 3 2
1 2 1
3 0 1
3 0 2
10 4
3 0 2
3 1 3
0 3 1
1 0 3
2 2 3
3 0 3
3 2 1
3 3 0
1 3 1
2 1 1
10 6
2 0 2
2 1 0
2 1 2
1 0 1
0 2 0
1 1 0
2 2 0
2 0 1
2 2 2
2 1 1
10 8
2 2 0
1 2 0
1 2 2
0 1 2
0 0 0
2 0 0
1 1 0
0 1 1
0 0 1
0 2 0
10 7
4 3 0
4 5 5
4 1 2
0 0 1
0 3 1
2 5 3
3 3 3
5 4 3
0 3 0
4 1 3
10 7
0 1 2
1 2 2
1 2 0
2 0 1
2 2 2
2 2 1
0 2 2
1 1 0
2 0 0
2 2 0
10 6
2 3 1
0 2 3
3 1 2
1 0 1
0 1 3
1 3 2
0 3 0
2 1 0
3 2 2
0 1 0
10 9
0 0 1
2 2 1
2 0 0
2 0 1
2 3 2
1 0 3
3 1 2
2 1 0
0 2 2
2 2 2
10 5
0 4 2
0 5 4
2 4 5
0 0 0
0 0 5
2 0 0
1 0 4
0 2 4
0 4 5
5 4 5
10 2
2 0 2
3 2 1
3 2 0
1 2 0
3 3 0
0 2 3
1 2 3
0 3 0
3 1 3
3 0 1
10 3
5 4 0
3 5 5
2 5 0
0 1 5
4 4 2
1 4 0
1 1 2
3 5 1
1 3 5
2 3 1
10 4
2 2 2
1 1 0
2 1 2
2 0 0
2 2 1
2 0 1
2 0 2
2 2 0
0 1 1
1 1 1
10 3
2 2 3
1 1 3
0 0 1
2 1 3
3 1 0
0 0 2
1 2 2
3 2 1
1 0 0
2 0 0
10 5
4 3 2
0 0 0
0 2 1
1 0 1
1 3 0
3 2 3
3 4 2
2 1 1
2 0 0
3 0 4
10 8
2 0 5
4 1 0
4 0 3
2 3 4
5 0 5
2 0 2
5 2 4
4 0 4
0 5 3
4 5 2
10 4
4 2 0
4 4 0
0 1 2
3 0 1
4 4 2
1 2 0
1 0 0
2 0 3
1 2 1
3 4 4
10 5
0 2 3
0 2 1
3 3 3
2 0 2
2 3 0
2 2 2
0 0 3
0 3 0
3 1 2
2 1 3
10 3
2 2 2
0 3 1
3 2 1
1 1 2
1 0 1
1 1 3
3 3 1
3 3 0
2 1 1
2 1 3
10 2
1 0 1
0 2 3
0 1 0
3 0 1
1 1 3
0 0 2
0 2 1
1 2 2
2 3 1
1 0 2
10 5
4 0 3
4 1 0
2 1 0
3 4 0
2 3 4
0 1 2
0 0 1
4 1 3
3 2 4
2 1 4
10 4
3 3 1
1 0 2
0 2 2
0 1 1
2 0 2
0 0 0
0 1 2
0 2 0
0 1 0
3 0 0
10 2
2 1 1
3 1 1
4 3 1
1 3 4
1 0 2
1 4 1
2 2 1
4 2 1
1 1 4
2 3 3
10 6
1 5 1
5 5 4
4 0 5
1 4 1
1 5 0
0 3 4
4 0 0
3 2 1
4 2 3
0 4 5
10 6
3 1 1
3 1 2
3 0 3
2 3 1
2 2 2
1 2 3
2 1 1
0 3 3
3 0 0
2 3 2
10 3
1 3 5
0 2 5
1 0 3
3 3 2
3 3 3
3 4 0
3 1 3
1 1 4
1 0 2
2 1 5
10 5
2 1 1
2 1 2
0 1 1
0 0 0
0 2 2
2 0 2
2 0 1
1 1 1
1 2 2
0 2 1
10 4
3 5 0
0 5 3
1 0 4
4 4 3
3 5 5
4 4 2
4 0 5
3 4 1
3 1 1
4 3 3
10 2
3 4 3
4 0 3
2 0 0
0 2 0
2 5 4
4 1 0
3 5 2
1 3 3
0 3 1
1 1 2
10 3
2 2 2
2 1 0
1 2 0
0 0 0
0 1 1
1 1 0
0 0 2
0 0 1
1 0 1
0 1 0
10 7
1 2 4
0 0 3
1 1 2
4 1 1
3 2 3
4 2 0
0 0 1
2 0 4
0 4 3
1 3 0
10 9
3 2 2
1 3 1
3 1 3
4 3 5
1 1 4
4 5 5
0 1 0
4 2 4
3 0 3
3 0 5
10 3
1 4 0
1 1 2
4 1 3
1 3 0
3 2 4
4 3 0
3 4 3
4 0 0
3 1 0
3 4 0
10 9
1 0 1
0 2 1
0 1 0
1 3 2
0 2 2
4 0 5
2 3 5
3 0 2
0 2 4
0 3 2
10 4
2 1 4
3 4 2
2 1 3
0 0 2
2 3 2
3 0 3
0 4 0
1 2 1
3 1 3
0 2 3
10 7
3 1 3
2 2 0
4 2 0
4 4 4
2 1 2
3 0 0
4 0 0
1 2 0
3 2 3
0 4 2
10 4
3 3 4
4 2 2
4 0 3
3 4 0
2 2 1
0 2 0
2 0 4
1 4 4
3 1 3
2 4 2
10 6
0 1 1
1 1 2
1 2 1
2 1 1
0 2 2
0 1 0
2 0 2
2 2 0
1 0 2
1 2 0
10 9
2 2 2
0 2 0
0 2 1
2 0 2
1 0 1
0 1 1
0 1 2
1 1 1
1 1 2
1 0 0
10 5
0 0 1
2 0 2
0 0 2
0 0 0
2 1 0
1 2 0
2 1 2
1 1 0
0 1 0
0 1 2
10 5
1 2 2
0 1 1
0 0 2
1 1 2
2 0 2
1 2 1
2 0 1
2 1 1
0 0 1
0 2 0
10 2
0 0 2
0 0 3
1 1 1
0 3 2
3 1 1
3 1 2
1 2 0
2 0 0
0 2 3
1 0 1
10 7
1 2 2
0 1 2
1 0 0
0 2 2
2 1 2
0 1 0
2 0 2
2 2 0
0 0 2
2 1 1
10 7
2 0 0
0 2 2
1 3 0
2 0 1
3 0 2
1 3 1
0 0 1
0 0 3
2 0 2
2 1 1
10 2
0 2 0
1 0 0
1 0 1
2 0 0
2 0 1
0 1 1
2 0 2
0 0 0
1 1 2
0 1 2
10 6
1 0 0
2 2 1
0 2 2
0 0 1
2 2 2
0 2 0
0 0 2
2 2 0
2 1 0
0 0 0
10 3
2 2 2
3 0 2
0 3 2
2 0 2
3 2 1
0 2 0
1 1 1
0 3 3
2 3 2
0 0 2
10 7
0 0 1
0 0 2
2 0 1
1 2 1
1 1 0
1 2 2
2 2 0
1 0 0
2 0 2
0 2 0
10 8
2 2 3
0 3 1
3 0 2
0 2 0
0 1 3
1 2 0
1 3 3
3 3 1
0 1 0
3 1 0
10 5
0 1 0
1 2 0
2 2 0
3 2 4
4 2 4
3 3 0
3 3 4
1 1 1
1 1 4
2 3 4
10 6
4 0 0
0 3 5
0 2 4
1 0 3
3 0 3
4 1 5
0 2 1
2 0 2
4 3 2
5 1 4
10 8
4 3 0
0 4 2
3 5 1
3 1 4
5 3 4
3 3 3
4 3 4
5 3 0
1 4 0
3 1 1
10 3
2 2 2
0 3 1
0 2 3
4 1 2
4 0 4
0 4 1
1 1 3
2 3 3
2 0 1
0 3 3
10 8
2 0 1
0 1 2
0 1 0
1 1 2
1 0 0
0 1 1
2 2 1
2 1 1
0 2 1
2 0 2
10 9
5 4 3
1 1 2
5 4 4
1 1 5
4 3 0
2 4 3
5 3 5
3 2 2
1 1 4
3 4 3
10 2
0 4 1
3 2 0
2 4 0
2 1 1
4 3 4
4 3 2
3 3 1
0 3 4
2 2 4
4 1 0
10 2
4 2 2
0 0 0
1 3 3
3 1 1
2 3 1
3 0 3
4 1 0
2 4 0
4 4 4
4 3 3
10 7
3 1 3
2 1 0
3 2 2
2 1 2
4 1 3
3 0 2
0 3 0
1 2 1
2 2 1
1 3 2
10 8
0 1 0
1 2 1
2 1 0
1 0 1
2 0 1
1 1 2
0 1 2
0 2 0
1 1 0
1 2 2
10 3
3 2 2
4 0 1
4 1 4
4 4 0
4 3 0
1 3 1
2 2 3
4 2 2
2 3 1
4 2 4
10 3
4 0 2
4 3 3
3 3 2
3 0 2
0 1 3
1 2 2
4 2 0
3 1 0
3 2 4
4 2 2
10 6
3 2 3
3 0 1
1 1 3
1 0 1
1 0 0
2 1 0
1 0 3
1 2 0
2 2 3
2 2 0
10 9
1 0 1
2 2 0
0 1 2
0 0 1
1 1 2
2 2 1
0 1 1
2 0 2
1 2 0
1 2 1
10 2
4 2 5
4 2 3
0 0 0
1 1 1
4 0 1
3 0 5
2 0 3
5 1 0
3 1 1
1 2 0
10 3
5 3 0
4 4 4
3 0 4
2 3 5
0 4 1
4 5 4
0 0 5
1 3 4
0 2 2
1 1 3
10 6
1 1 2
2 2 1
2 0 1
0 0 1
1 0 2
0 2 1
2 0 0
1 2 1
2 1 2
0 2 2
10 4
2 2 1
0 0 0
1 1 1
0 2 2
0 1 1
1 0 2
1 2 2
2 0 0
1 1 2
2 0 1
10 2
0 1 2
1 2 2
0 0 0
2 0 0
0 2 1
2 2 0
1 0 1
0 2 2
0 2 0
0 1 1
10 3
1 2 0
0 3 2
1 2 3
1 4 3
0 2 0
3 1 2
2 3 3
4 0 2
2 0 4
0 4 1
10 3
5 2 1
0 3 3
2 4 4
5 3 0
4 5 3
5 0 0
3 3 3
2 4 5
3 0 3
4 0 4
10 3
2 1 1
0 0 0
1 0 1
2 2 2
2 1 2
0 2 2
1 0 2
1 0 0
1 2 2
1 1 1
10 2
1 0 2
1 0 0
0 1 2
2 0 1
1 2 1
1 1 1
2 0 2
0 0 2
2 0 0
1 1 0
10 4
3 4 2
1 4 4
4 3 1
1 0 0
2 1 4
1 0 4
2 1 0
3 3 0
0 2 4
2 0 2
10 6
3 2 3
3 1 2
2 2 1
1 3 4
0 0 0
4 4 2
0 4 4
1 3 0
0 2 4
4 0 3
10 7
0 3 2
1 3 1
0 3 3
3 0 2
4 2 3
4 4 1
3 2 0
1 1 1
4 1 2
1 1 3
10 6
2 0 2
3 2 3
2 0 4
4 1 1
0 2 0
1 4 3
0 1 1
3 3 0
2 3 2
2 2 1
10 5
2 4 5
5 2 3
0 1 0
5 2 5
4 3 3
0 1 5
0 3 4
1 4 5
4 4 1
2 4 1
10 3
3 0 0
3 0 1
1 3 2
0 2 0
3 2 1
1 2 3
3 3 3
2 3 1
2 1 4
4 2 3
10 2
1 3 2
1 0 1
0 4 2
3 2 4
3 0 2
1 2 2
2 0 3
4 1 4
3 0 4
3 1 2
10 5
4 1 4
2 4 2
0 1 4
2 3 3
0 1 0
4 4 1
2 3 2
0 3 4
3 3 2
3 0 0
10 7
4 1 2
4 3 1
4 0 1
0 0 3
3 3 4
0 2 2
2 0 3
1 2 4
0 0 1
3 2 1
10 6
3 3 0
2 2 1
2 0 4
1 0 2
0 1 4
1 0 3
4 4 1
2 1 2
4 4 3
4 1 4
10 7
0 2 2
4 4 3
3 4 1
4 2 3
0 0 0
2 2 2
1 0 1
2 1 2
2 2 3
4 2 2
10 4
2 5 5
1 1 3
0 3 2
1 5 5
4 2 3
2 4 3
2 2 1
4 5 1
2 0 5
5 4 5
10 5
0 0 0
1 2 1
1 2 2
2 2 1
2 1 2
0 2 2
2 0 0
0 2 1
2 1 0
2 2 2
10 2
2 3 1
2 1 1
0 3 1
3 2 1
0 1 2
3 2 3
3 1 3
0 1 3
2 1 0
1 0 2
10 9
3 2 0
4 1 3
4 1 4
1 0 4
3 4 4
1 0 3
2 1 3
4 0 0
4 4 0
2 0 3
10 5
1 2 0
3 0 0
2 1 1
1 0 2
0 1 1
0 2 3
2 0 1
1 1 3
0 2 2
3 2 2
10 9
2 0 3
4 3 3
2 4 1
3 2 3
1 2 4
4 0 1
2 3 3
2 1 1
0 3 4
4 4 0
10 2
1 2 0
1 1 2
0 0 0
1 0 1
0 1 1
2 1 1
2 2 0
0 0 1
0 1 0
2 0 0
10 8
0 2 2
1 2 2
0 0 0
2 2 1
1 1 1
2 2 0
1 2 0
0 1 1
1 1 0
2 2 2
10 4
1 2 3
4 4 3
2 4 3
0 4 1
0 3 4
4 4 1
3 0 0
2 0 0
0 4 2
1 4 1
10 8
1 0 0
3 2 2
0 4 2
3 1 1
2 2 1
1 2 4
2 1 1
0 1 1
0 4 1
1 1 4
10 5
2 0 2
4 2 4
0 4 3
2 4 4
0 1 1
2 1 1
0 2 0
1 0 3
4 0 3
0 1 0
10 4
1 2 1
1 0 1
2 2 1
0 1 0
2 2 2
2 0 2
1 2 0
2 0 1
0 2 2
1 1 2
10 2
1 2 0
2 0 1
1 0 2
2 1 0
0 2 2
0 1 0
0 0 0
1 2 2
1 0 0
2 1 2
10 3
2 1 2
2 0 1
1 1 2
2 3 0
2 1 1
1 3 1
0 1 2
1 0 0
1 1 0
1 3 2
10 4
0 3 4
1 3 0
5 5 0
0 2 2
1 1 5
1 1 2
5 2 5
5 4 0
1 2 1
1 5 3
10 6
2 1 4
5 4 2
4 4 5
5 5 4
5 2 3
1 5 5
1 3 3
0 2 2
3 1 5
4 2 4
10 4
1 4 2
1 4 0
2 4 1
3 4 1
1 4 1
3 0 4
2 1 0
4 3 2
2 4 3
4 0 1
10 3
2 0 1
3 4 1
0 4 3
3 2 4
0 5 5
2 0 5
0 4 4
1 4 3
5 3 0
3 1 2
10 6
2 2 0
3 3 1
1 1 0
3 2 3
3 0 2
3 1 2
2 1 0
1 3 1
0 2 3
0 0 3
10 3
1 0 1
0 3 2
2 3 5
0 3 4
4 0 1
5 1 1
1 3 5
0 1 5
5 5 0
1 4 1
10 6
1 2 2
2 2 2
2 0 1
1 2 1
2 2 0
0 0 0
2 1 1
2 1 0
1 0 1
1 0 2
10 7
5 5 5
0 3 0
3 5 4
4 4 1
3 3 3
5 2 3
5 4 2
5 2 4
4 4 3
4 2 5
10 8
2 1 1
1 2 1
1 1 2
1 2 2
1 0 1
0 0 0
2 2 0
2 0 1
2 2 1
2 1 0
10 6
1 1 0
3 2 2
2 2 3
1 0 2
1 3 2
3 0 2
0 1 3
0 0 2
3 2 0
3 1 0
10 6
2 2 0
3 1 2
2 1 0
1 3 2
2 1 1
1 3 0
2 3 2
0 3 2
1 2 2
0 0 3
10 6
2 2 3
1 3 2
2 3 2
2 3 0
0 3 3
2 1 3
0 3 0
0 1 3
1 1 0
2 0 0
10 7
3 0 5
2 0 3
1 0 5
5 3 5
0 5 3
3 2 1
0 4 5
2 3 0
4 0 5
1 3 0
10 4
1 1 1
1 0 1
1 2 1
0 1 2
0 1 0
1 2 0
2 0 2
0 2 2
2 2 0
1 1 0
10 9
3 3 2
3 4 2
2 4 0
0 2 2
2 4 1
1 2 3
2 1 1
4 4 4
1 4 4
3 2 4
10 8
2 2 2
0 3 3
0 0 2
3 3 3
2 0 0
3 1 0
3 4 4
4 3 4
4 3 2
1 3 4
10 2
0 2 1
0 1 2
2 2 2
2 1 1
1 1 0
1 0 1
0 0 0
0 2 0
1 2 2
1 1 2
10 9
0 4 1
1 0 1
4 5 5
1 2 3
4 4 0
4 4 5
2 5 4
4 1 0
3 1 4
3 5 2
10 8
0 1 1
1 0 2
1 0 0
1 0 1
0 2 2
2 2 0
1 1 1
1 1 2
2 0 1
0 2 1
10 5
0 2 0
2 1 2
1 0 2
2 0 1
0 2 2
2 2 2
1 1 1
0 0 2
2 0 0
2 0 2
10 6
3 1 3
1 1 2
3 2 1
0 1 1
3 2 0
3 0 2
2 3 2
0 1 3
3 2 3
3 1 2
10 7
3 5 1
0 1 2
4 4 4
0 4 1
1 3 2
3 0 5
5 4 5
1 0 2
3 3 1
3 4 0
10 6
5 5 1
2 3 2
4 0 3
5 0 3
5 1 4
1 3 4
0 4 2
3 1 4
1 5 3
1 4 5
10 8
2 1 2
0 2 1
0 3 3
1 1 2
2 0 1
3 3 1
3 0 0
1 3 0
0 2 3
1 1 3
10 4
3 3 0
2 3 3
1 3 0
3 0 0
3 2 2
2 2 1
1 1 3
1 3 3
1 2 3
2 2 0
10 8
0 1 3
1 3 0
1 3 2
0 2 2
0 1 2
2 0 3
3 2 3
1 1 3
3 3 1
2 1 0
10 6
3 4 2
3 1 5
3 2 1
4 2 0
1 1 5
4 4 4
5 0 2
1 4 1
0 5 5
1 2 3
10 8
2 1 0
0 1 0
0 0 0
0 3 0
0 3 1
3 2 1
1 2 3
3 2 2
2 3 0
0 3 2
10 5
1 4 5
5 5 2
1 0 1
5 0 0
4 3 1
2 0 4
5 1 1
3 5 5
1 5 4
1 4 0
10 2
4 5 4
4 2 5
0 5 3
1 2 5
1 0 2
5 1 4
1 5 4
3 1 1
5 1 5
0 1 1
10 2
2 0 0
4 0 4
4 0 1
3 2 2
4 1 0
4 2 2
3 3 3
0 1 2
3 3 0
1 4 2
10 7
2 1 2
0 1 1
0 0 1
0 2 2
0 0 2
1 1 1
2 0 2
0 1 2
1 0 0
1 2 0
10 4
1 2 2
0 4 3
2 1 1
0 0 1
4 4 4
3 3 4
0 4 1
4 2 0
4 4 0
3 3 0
10 8
1 0 1
0 1 1
1 3 3
0 0 2
2 1 2
2 0 3
0 0 1
1 2 3
3 3 3
3 3 0
10 9
4 0 4
4 4 0
2 4 2
0 1 3
0 3 2
3 3 4
2 0 1
1 2 2
4 3 1
1 3 4
10 6
0 2 0
0 4 0
5 3 5
2 5 1
3 3 1
3 1 4
2 0 4
2 3 5
1 5 3
4 3 5
10 7
2 0 1
3 1 3
2 3 1
2 2 0
2 1 3
2 0 0
1 3 1
3 1 2
1 0 3
3 3 3
10 9
5 1 3
5 4 5
4 2 0
5 1 2
0 2 5
3 0 2
5 3 5
2 5 0
3 2 5
3 4 5
10 7
2 0 2
2 2 1
0 0 1
2 1 0
0 2 2
2 2 0
0 1 2
2 0 0
1 0 0
1 2 0
10 7
0 0 3
4 2 1
0 0 4
3 5 4
4 2 3
1 1 0
0 4 0
1 5 0
4 0 5
1 2 2
10 8
3 2 2
4 2 1
4 2 0
4 0 1
4 2 3
1 3 4
4 3 4
1 4 3
1 4 0
0 2 3
10 3
0 0 1
1 0 0
1 2 0
1 2 2
1 1 0
0 1 0
2 1 2
0 2 0
1 0 2
1 0 1
10 2
1 2 3
0 0 0
0 1 0
0 3 2
0 0 1
3 2 1
1 0 1
0 1 2
1 3 3
2 3 3
10 9
3 3 1
0 0 3
1 0 3
1 3 2
3 1 0
2 2 0
2 3 1
1 0 2
3 3 0
2 0 3
10 9
0 1 0
2 2 0
2 0 1
0 1 1
1 2 1
0 0 0
2 0 0
0 2 0
1 0 2
1 1 1
10 2
3 4 2
1 5 4
4 2 5
5 3 4
5 4 4
1 0 1
3 3 1
1 2 5
0 3 3
2 2 1
10 3
1 2 2
0 0 0
2 0 1
0 2 1
0 1 0
2 2 0
0 2 0
1 1 0
1 2 0
0 1 2
10 5
0 0 1
4 1 0
4 3 3
2 4 2
0 1 0
3 2 3
3 4 2
0 0 2
0 4 2
4 2 4
10 5
0 0 2
1 2 1
2 1 1
1 2 0
0 0 1
1 0 2
0 1 2
0 0 0
0 2 2
2 0 2
10 5
0 3 3
4 0 4
2 3 2
1 3 4
4 4 4
3 3 3
2 2 0
3 2 2
3 2 1
2 2 3
10 9
4 4 3
2 4 1
0 5 4
2 0 3
5 4 2
0 3 5
2 0 1
5 2 5
3 0 3
1 2 5
10 4
0 0 3
0 3 3
1 4 3
0 2 2
0 0 0
3 3 4
4 0 3
2 4 0
0 3 4
3 2 0
10 6
0 0 2
0 1 2
2 2 2
1 0 1
2 1 0
0 2 0
0 1 1
1 2 0
1 2 1
0 1 0
10 4
3 3 1
2 0 3
1 2 1
0 0 2
1 0 3
1 3 3
3 0 2
0 3 3
2 1 3
1 0 1
10 8
1 4 4
0 2 1
2 4 4
2 3 0
0 0 0
2 1 0
2 1 4
2 0 3
1 1 1
4 1 1
10 4
0 2 1
1 3 3
1 0 2
1 1 3
3 3 2
3 0 0
0 1 0
0 0 3
1 3 1
3 1 0
10 8
1 1 2
0 0 2
1 2 1
2 2 0
2 2 2
1 0 2
2 0 2
2 0 1
1 2 0
0 2 1
10 5
2 1 0
2 0 0
2 0 2
1 0 0
1 1 1
0 0 2
0 1 2
1 1 2
0 1 1
1 0 2
10 4
1 2 0
3 5 3
3 4 1
0 4 0
2 1 4
3 3 0
4 0 5
3 4 0
1 5 1
0 5 5
10 6
3 1 3
3 0 3
2 1 0
0 0 3
2 3 1
0 2 0
2 3 0
1 2 2
2 3 3
1 1 0
10 7
1 0 3
1 2 5
5 3 3
2 2 2
5 3 4
2 4 0
0 3 0
5 0 3
0 2 0
0 4 0
10 4
1 2 4
5 4 1
3 3 4
0 0 4
2 0 3
1 2 3
4 2 2
0 3 2
4 3 5
0 1 3
10 2
1 2 3
4 0 2
2 2 3
2 2 2
0 3 3
3 1 3
1 4 3
4 1 4
3 1 2
3 4 3
10 4
3 0 2
1 2 2
1 3 1
0 3 3
4 3 0
1 1 1
1 0 2
3 1 2
1 2 1
2 1 4
10 4
3 1 3
3 0 0
2 1 2
1 0 3
2 0 0
3 3 1
0 3 1
2 3 1
1 1 2
0 2 2
10 7
2 0 1
0 2 2
2 2 1
2 1 2
2 0 2
2 0 0
1 0 2
0 0 0
2 2 0
0 1 0
10 5
4 1 2
1 4 3
0 1 1
1 2 2
0 1 4
3 4 3
4 2 4
2 2 0
0 0 3
1 3 4
10 2
4 0 0
2 2 1
1 1 4
2 2 0
0 0 2
3 4 4
2 0 4
4 4 0
2 0 2
3 2 2
10 7
1 1 0
0 2 0
1 0 2
0 0 1
2 2 0
1 0 0
1 2 0
0 2 2
1 2 1
0 0 0
10 5
0 1 3
3 2 2
0 0 1
0 2 1
1 2 0
3 3 3
2 2 2
0 1 1
1 0 0
0 3 1
10 3
3 2 5
0 2 3
4 2 2
1 0 5
3 4 2
0 0 1
5 3 1
3 2 4
3 0 5
4 0 3
10 4
4 1 4
4 1 0
2 4 4
2 4 1
3 2 0
2 1 3
3 3 1
3 2 1
0 4 2
0 3 1
10 6
0 2 0
1 0 0
2 0 2
0 2 2
1 1 2
0 1 2
2 1 1
0 1 0
2 2 1
0 0 0
10 4
1 4 2
3 0 4
1 4 4
0 3 4
4 0 2
3 4 3
0 0 4
2 4 0
3 1 3
1 1 3
10 3
4 4 0
4 1 3
2 2 3
4 0 1
1 4 1
1 2 0
3 1 1
1 1 3
2 0 2
4 1 0
10 7
2 0 1
0 2 1
1 1 0
1 0 2
2 1 2
0 2 2
0 0 0
1 2 0
2 2 0
2 1 1
10 3
3 0 4
1 0 1
1 2 4
3 3 4
2 4 3
1 4 4
4 4 4
2 3 3
3 4 1
2 4 1
10 8
2 0 1
2 1 1
2 2 0
1 0 1
1 1 2
2 2 1
0 0 1
0 2 1
2 1 0
2 0 2
10 6
0 2 0
2 2 2
1 1 1
1 2 1
2 2 1
0 1 1
0 2 1
1 1 2
0 1 0
2 1 0
10 4
4 1 0
4 2 3
3 3 3
2 4 1
1 1 2
4 3 3
3 1 0
3 1 4
4 0 0
2 4 2
10 4
2 3 4
2 3 2
3 4 0
0 1 2
4 2 1
4 1 2
1 0 4
2 2 2
3 2 4
3 4 2
10 8
4 0 1
4 1 2
3 3 0
1 2 1
4 2 0
0 2 3
2 0 1
4 1 3
4 3 4
2 0 4
10 9
4 0 3
2 2 4
4 0 4
1 1 2
0 0 0
3 4 3
3 0 3
3 4 4
0 3 4
0 2 2
10 7
3 1 1
0 3 0
3 1 2
2 2 0
3 0 2
2 2 2
3 0 1
1 3 3
0 3 1
2 1 0
10 4
2 2 0
0 0 2
2 1 0
2 0 2
1 2 2
0 0 0
1 2 0
0 0 1
0 1 2
0 2 2
10 8
2 1 1
2 2 2
0 0 0
1 2 0
2 2 0
1 1 1
1 0 2
2 2 1
2 1 0
0 2 0
10 5
1 2 2
1 0 2
1 2 0
1 1 3
0 1 0
3 2 3
0 0 3
0 2 2
3 1 1
1 3 1
10 2
4 0 3
1 0 2
4 3 2
0 4 2
4 1 2
2 4 3
3 4 3
1 3 2
4 1 0
1 1 2
10 7
0 0 0
2 1 0
3 3 2
0 3 3
1 1 3
0 2 3
1 2 3
2 3 3
0 1 2
2 2 2
10 7
2 4 4
1 2 3
3 3 2
3 1 1
0 3 3
1 2 4
4 4 0
3 2 4
3 4 0
4 2 4
10 6
1 1 1
2 0 0
1 2 1
0 1 1
1 0 0
0 2 2
1 0 1
1 1 2
2 1 1
2 0 2
10 9
4 5 2
4 0 5
4 4 1
1 0 5
0 1 0
1 1 5
4 3 0
5 0 5
4 0 0
1 3 0
10 6
1 2 1
2 2 0
2 0 0
2 1 2
0 2 2
0 0 0
2 2 1
1 2 2
1 0 1
2 1 1
10 5
3 2 0
2 2 2
0 0 0
3 0 1
2 1 1
3 0 2
0 3 2
0 3 3
0 2 0
1 2 1
10 7
0 0 4
2 0 0
1 1 2
4 4 1
4 3 2
1 2 3
3 4 1
3 0 2
5 2 2
0 3 5
10 5
1 0 1
0 2 2
1 1 1
2 2 1
0 1 1
2 2 0
0 0 2
0 1 2
2 1 0
0 2 0
10 9
0 3 1
4 0 1
4 3 5
4 0 2
2 0 5
1 5 1
1 0 3
5 4 4
4 4 5
2 5 3
10 3
2 3 2
1 0 3
4 2 4
2 0 4
4 4 4
3 3 1
2 2 3
0 4 1
3 2 3
3 0 0
10 3
0 2 0
1 2 1
2 0 1
2 0 0
1 0 0
2 2 0
0 2 1
1 2 0
1 1 2
0 1 2
10 8
2 0 4
2 2 4
4 3 0
0 3 4
0 4 3
1 2 1
4 3 3
1 4 0
0 0 4
1 0 3
10 2
0 0 0
3 2 0
2 0 0
2 3 3
2 2 3
0 0 1
1 2 1
0 3 0
2 2 0
2 3 2
10 5
3 1 0
3 0 4
0 4 3
0 2 4
2 2 0
2 0 1
3 2 2
4 2 4
0 0 3
4 1 4
10 9
2 0 0
1 1 2
1 2 2
2 1 1
2 2 0
1 0 1
2 1 2
0 0 0
1 0 0
2 2 2
10 4
3 3 3
2 0 1
2 3 1
1 2 3
2 2 1
0 3 2
3 1 0
1 0 2
1 3 2
0 2 1
10 8
3 1 2
3 3 1
4 1 1
1 3 0
5 2 2
4 4 2
0 0 3
2 3 3
3 2 5
0 5 1
10 7
2 0 0
3 3 3
3 1 2
1 3 0
0 1 0
0 1 3
3 3 0
1 2 1
3 3 1
2 1 2
10 7
0 0 2
3 3 4
2 0 2
1 1 2
4 4 2
3 3 1
4 4 3
2 3 2
4 0 4
2 4 4
10 9
0 2 2
2 0 1
0 2 1
1 1 0
2 0 2
0 2 0
1 1 1
2 1 0
0 1 0
0 1 1
10 3
2 1 1
2 2 0
3 1 0
3 2 3
1 4 0
0 1 1
4 1 2
2 4 2
1 3 4
4 2 3
10 5
3 4 1
3 1 4
0 1 3
4 3 1
2 4 2
4 3 3
2 1 2
3 0 4
2 4 4
0 1 0
10 8
4 2 1
2 4 0
0 3 0
2 3 4
3 1 3
4 0 3
0 4 5
3 0 0
1 2 4
2 0 5
10 2
3 0 2
2 3 2
3 2 1
2 1 4
5 0 2
0 0 0
1 5 5
5 2 4
2 1 0
4 3 3
10 8
0 1 2
0 4 1
3 3 4
1 0 0
3 0 1
1 2 4
1 4 2
4 0 0
0 3 4
3 3 0
10 3
3 3 0
1 3 1
3 0 3
2 1 3
0 0 0
2 1 1
3 3 1
1 1 2
2 2 1
0 3 1
10 5
3 1 2
4 3 4
0 1 3
1 3 1
2 3 3
1 0 0
3 3 4
1 4 0
3 4 0
1 3 4
10 4
1 0 1
2 2 1
2 0 3
1 3 2
3 0 3
3 3 0
1 2 1
1 0 0
2 2 3
1 3 1
10 2
1 5 3
5 1 1
1 3 0
5 0 1
2 2 1
4 0 3
0 0 4
0 3 3
4 3 1
3 3 5
10 7
1 1 1
0 1 1
1 3 2
0 1 0
3 3 3
1 2 3
1 3 0
2 3 2
1 0 0
2 2 0
10 6
0 4 2
4 2 2
5 3 5
2 5 3
3 3 2
3 3 3
0 0 2
1 5 3
5 3 3
3 2 0
10 5
1 2 3
0 1 3
0 2 3
1 3 2
0 3 2
1 1 1
0 0 1
1 1 2
3 2 2
3 3 3
10 4
5 0 3
1 2 3
3 5 0
5 2 0
5 3 1
2 3 4
4 1 3
1 1 4
0 5 4
4 0 2
10 9
0 0 1
4 2 1
4 3 4
3 4 4
4 0 4
3 3 4
4 5 5
1 1 3
2 0 5
0 4 1
10 6
2 0 2
3 1 2
0 1 2
3 3 0
0 1 0
3 2 3
0 2 0
3 0 3
2 1 3
3 2 1
10 8
2 1 0
1 0 2
0 0 0
2 2 2
1 1 0
0 1 0
1 0 1
1 0 0
0 2 0
0 0 1
10 4
1 3 2
2 2 0
2 3 2
3 1 3
0 1 3
3 2 0
2 1 2
1 3 1
0 0 3
3 3 2
10 2
4 1 3
0 4 3
2 1 4
2 3 4
3 2 1
3 0 2
2 4 1
3 0 3
0 2 2
3 4 0
10 3
1 2 1
3 1 0
3 2 4
3 0 0
4 4 0
4 3 3
4 3 4
4 3 0
3 2 1
3 2 3
10 2
2 1 1
2 3 3
0 4 3
4 2 0
2 4 3
3 1 3
2 4 0
4 3 2
4 1 1
4 3 0
10 7
1 1 2
2 1 0
0 2 2
0 2 0
1 0 2
2 1 1
2 0 0
2 0 1
1 2 0
0 0 0
10 4
2 2 2
0 1 1
4 4 3
3 3 1
3 0 2
1 4 0
3 3 0
3 3 4
3 4 3
4 3 3
10 7
2 2 5
1 4 4
5 2 4
4 1 3
2 3 4
5 0 5
3 3 4
3 4 2
3 1 1
5 2 1
10 9
5 5 1
0 5 0
1 3 0
1 1 3
4 4 3
5 0 1
0 5 4
0 4 5
3 3 3
0 4 4
10 5
0 0 4
2 3 2
1 1 2
3 1 1
3 0 2
2 0 3
3 4 2
4 4 0
4 0 1
1 0 2
10 3
0 3 3
1 5 0
2 5 0
5 2 1
1 1 4
4 0 0
5 5 5
0 0 3
5 1 1
3 3 2
10 9
2 0 2
0 2 0
2 1 2
0 1 0
0 0 0
1 1 1
1 0 1
2 0 1
0 2 2
0 1 2
10 5
0 3 2
3 3 0
0 3 1
1 1 3
0 2 2
3 2 0
1 1 0
2 1 1
0 0 0
1 2 3
10 8
0 0 2
1 1 2
1 2 1
1 2 0
2 2 1
2 1 1
0 1 0
1 1 0
0 2 1
1 2 2
10 8
1 3 0
2 0 0
0 0 1
0 1 1
3 3 1
2 3 0
2 1 1
3 1 1
2 1 3
1 3 2
10 7
1 2 2
4 3 4
4 5 2
2 3 1
4 4 0
0 3 0
0 3 2
4 5 4
4 5 0
0 0 3
10 8
2 0 0
4 1 0
4 2 0
4 2 3
3 4 1
1 4 3
3 5 2
5 5 5
2 2 3
2 4 0
10 7
3 1 1
0 0 0
3 3 1
3 1 3
2 3 2
2 0 1
0 1 3
3 0 2
0 1 0
2 0 3
10 4
1 5 1
2 0 1
0 2 4
4 5 3
5 5 4
1 1 3
1 0 3
1 5 0
0 4 4
4 5 5
10 2
1 3 3
1 2 3
0 3 1
0 0 3
3 2 3
0 0 2
2 0 0
1 0 3
1 2 1
3 2 1
10 5
0 0 1
0 2 0
1 2 0
1 2 2
2 1 2
1 0 2
0 2 2
1 0 0
0 1 0
2 0 2
10 7
2 5 1
4 3 4
4 5 3
4 0 3
5 3 0
3 4 0
0 2 0
2 5 4
4 1 4
4 1 2
10 7
1 3 1
4 1 4
1 3 0
0 3 3
2 3 2
2 1 3
3 4 0
4 4 0
0 3 0
0 1 1
10 8
1 1 4
0 2 3
0 1 2
4 4 4
4 1 3
2 1 4
1 1 2
0 4 0
4 0 2
3 2 4
10 2
4 2 0
2 2 3
1 2 4
1 4 4
1 0 4
0 3 3
0 2 1
3 4 2
2 0 3
0 0 3
10 8
0 2 4
4 4 2
3 1 3
2 4 3
0 1 2
1 3 0
1 1 2
4 3 0
4 1 0
0 4 0
10 2
4 0 4
0 0 0
0 0 2
4 5 5
0 3 1
3 4 3
4 4 4
0 4 0
1 3 4
0 1 1
10 4
2 1 3
0 3 2
1 1 3
3 4 3
2 4 3
0 2 2
0 0 2
1 2 1
1 3 2
3 1 1
10 5
4 2 4
4 0 3
4 4 3
2 0 1
3 1 0
3 0 1
0 4 2
4 4 0
2 4 0
2 2 1
10 9
0 1 2
3 5 3
0 0 5
3 3 3
5 5 0
3 3 4
2 5 5
3 2 3
5 4 3
3 1 2
10 7
1 5 4
3 0 2
0 4 4
5 4 2
5 1 2
2 2 4
2 1 0
0 5 5
3 5 4
0 2 2
10 8
5 1 4
5 3 4
5 4 2
3 4 5
2 3 4
4 3 5
1 3 2
3 3 3
5 5 0
3 5 5
10 8
2 1 0
0 2 1
3 0 0
2 1 1
2 0 2
1 1 0
0 0 3
0 1 2
3 0 3
1 2 3
10 7
0 4 0
5 0 3
5 3 3
3 2 4
4 3 4
0 3 1
4 2 0
4 2 5
4 5 2
5 1 1
10 4
4 1 3
5 2 2
5 4 4
1 5 4
4 1 5
3 5 1
5 5 5
0 4 5
2 0 0
2 1 3
10 5
3 0 0
2 2 1
3 0 2
1 3 2
1 2 3
2 2 0
1 2 2
3 2 0
2 3 1
0 2 0
10 3
4 0 5
4 1 4
0 4 2
1 1 0
5 2 1
2 3 1
5 5 1
0 2 0
3 2 4
2 3 4
10 2
1 3 2
0 1 1
0 1 0
1 1 1
2 0 2
2 1 3
0 3 3
2 2 2
3 2 3
0 0 2
10 7
3 0 0
0 3 0
5 1 4
3 3 0
5 4 2
5 2 1
3 5 3
5 1 0
4 0 0
3 5 5
10 5
3 3 1
2 2 3
0 0 3
1 2 0
3 0 2
1 0 0
1 0 3
1 2 1
0 2 1
3 1 3
10 4
3 2 1
2 2 2
3 0 1
0 1 2
3 1 1
1 2 0
3 1 0
0 2 2
1 3 2
0 1 3
10 6
0 0 0
1 1 0
2 2 0
0 1 2
1 2 2
0 2 1
2 1 0
0 1 0
2 0 0
2 2 2
10 7
2 1 3
2 0 3
2 1 0
2 3 3
0 2 2
3 3 0
1 0 2
0 0 2
3 2 0
3 2 3
10 6
0 2 1
0 1 2
1 2 1
2 0 2
1 1 1
1 0 0
2 1 2
2 1 1
0 0 2
2 1 0
10 2
3 2 0
2 0 3
0 2 0
0 0 1
1 2 0
3 3 0
2 1 3
0 0 3
1 1 1
2 1 1
10 8
2 1 1
2 1 3
0 1 1
3 3 2
3 3 1
2 2 2
3 2 3
1 2 2
0 0 2
1 3 1
10 7
0 1 0
1 2 0
3 3 3
2 3 1
2 0 3
1 1 2
0 3 0
2 0 1
3 2 3
1 3 1
10 3
0 4 5
3 2 3
0 4 3
1 2 0
4 0 2
4 3 2
1 0 2
5 1 1
2 3 4
3 4 2
10 5
0 2 0
3 2 1
0 3 0
2 0 2
2 1 2
3 0 1
2 3 1
3 3 2
2 3 0
3 2 2
10 8
2 0 2
0 2 5
3 5 5
3 4 0
1 0 4
5 0 3
1 4 4
0 5 1
5 3 5
4 0 5
10 5
2 2 2
1 0 2
1 0 0
1 2 1
0 0 0
1 2 0
0 1 2
0 2 1
0 1 0
0 2 2
10 3
1 3 3
3 0 3
1 1 3
0 3 0
0 0 3
3 2 0
3 3 0
2 2 3
3 3 1
2 1 0
10 3
3 3 4
0 0 1
0 0 3
5 4 3
1 5 5
3 3 1
5 1 3
1 0 2
0 2 5
2 4 5
10 4
1 2 0
0 2 2
2 3 2
1 0 2
0 2 4
0 0 4
0 0 0
0 1 0
2 3 4
4 2 3
10 8
4 0 5
0 5 4
3 3 1
3 5 1
0 4 2
4 3 0
2 0 0
1 0 3
4 3 2
4 2 3
10 2
0 3 0
0 1 3
3 0 3
2 0 0
2 3 0
2 3 3
1 0 1
0 3 1
1 0 3
1 2 0
10 2
0 2 3
2 0 2
3 0 2
2 3 0
3 0 0
3 2 3
3 2 0
2 1 0
0 1 3
1 2 3
10 2
2 1 3
1 1 4
3 5 0
5 4 3
4 4 4
1 5 0
4 0 5
5 0 4
4 2 5
5 0 0
10 3
0 5 4
4 3 1
2 1 0
3 4 4
3 2 3
0 5 3
5 4 2
2 2 2
3 1 5
5 5 0
10 2
0 2 2
1 0 1
0 2 0
2 2 1
0 0 0
2 2 2
2 1 2
0 1 0
0 1 2
2 0 0
10 4
2 0 4
3 2 2
4 4 2
1 1 5
2 1 4
4 0 0
2 0 5
2 4 1
5 4 1
5 2 2
10 7
2 4 0
5 0 5
5 0 4
0 2 1
5 1 0
4 4 0
2 1 4
2 0 0
0 0 2
5 5 4
10 9
0 1 1
0 2 2
2 2 1
0 1 2
1 2 0
2 1 0
1 2 2
2 0 0
0 1 0
1 0 0
10 8
1 2 2
2 1 0
2 2 2
0 1 2
1 1 1
0 0 1
0 2 2
0 2 1
2 1 2
1 0 1
10 2
3 0 2
3 1 1
3 3 2
1 2 3
2 3 3
2 1 2
3 3 3
2 3 0
0 2 2
3 3 1
10 6
3 0 1
2 0 3
0 1 2
4 2 2
2 2 2
3 4 0
0 4 0
2 1 3
2 3 3
3 0 2
10 2
2 4 4
3 2 2
1 3 4
4 0 4
2 1 0
4 3 3
2 3 0
3 2 0
2 3 1
3 4 2
10 5
2 1 0
1 0 1
0 1 3
0 0 2
2 2 0
1 0 3
3 3 1
1 1 3
1 2 1
0 3 1
10 6
0 0 0
1 0 2
2 2 2
0 2 1
2 0 0
0 0 2
1 1 0
2 1 2
2 2 0
1 2 2
10 7
5 0 5
1 4 4
2 3 1
0 4 1
4 3 5
1 5 4
4 0 4
3 1 1
3 5 0
5 0 0
10 5
0 1 1
1 1 2
1 2 0
2 0 2
1 1 1
2 0 1
2 2 2
1 0 0
2 0 0
2 2 1
10 2
2 0 2
2 1 2
2 2 0
1 1 1
0 2 0
1 2 1
0 0 2
1 0 2
1 1 0
1 0 1
10 3
1 1 0
1 1 3
3 2 3
0 3 0
3 2 0
3 3 3
0 0 1
1 2 0
1 3 3
3 0 0
10 6
5 0 1
0 2 5
2 5 0
0 3 3
3 1 1
3 5 5
0 2 2
0 0 4
1 3 1
5 4 3
10 8
3 0 4
1 1 4
4 1 2
2 0 0
4 0 2
0 1 0
0 4 3
4 2 2
3 0 3
3 2 4
10 8
2 4 2
4 2 1
3 2 2
0 1 4
2 4 0
3 2 3
0 4 4
3 2 4
0 4 0
0 2 3
10 2
2 2 1
1 2 2
2 2 2
2 1 1
0 1 2
2 0 0
1 0 1
0 0 2
0 1 1
1 2 1
10 4
2 0 3
1 4 1
4 0 2
5 4 3
3 1 1
2 5 2
1 2 5
0 0 2
2 5 5
3 2 4
10 3
4 2 1
1 3 1
0 2 1
1 2 2
0 1 3
4 0 2
3 2 2
3 4 0
2 2 4
1 0 3
10 6
1 3 0
0 0 4
4 0 0
3 2 3
0 3 0
3 4 3
2 2 1
4 4 1
4 0 1
2 0 1
10 2
1 0 1
3 2 1
2 2 2
2 1 0
0 1 0
2 2 0
3 3 2
2 3 0
1 1 3
2 1 2
10 8
3 1 0
2 1 0
0 2 0
3 0 1
3 3 3
1 2 0
2 1 1
0 2 3
3 3 2
2 1 2
10 6
3 0 0
3 0 3
0 0 1
3 1 2
0 1 0
3 1 1
3 2 1
1 0 3
3 2 0
3 1 0
10 2
3 0 0
1 0 2
0 1 3
4 4 3
4 0 1
4 1 3
1 3 3
1 0 3
1 1 4
1 0 1
10 7
4 3 2
3 0 5
5 0 1
2 1 2
4 1 1
1 4 3
4 5 0
0 2 4
5 0 0
1 0 2
10 8
2 1 1
0 2 1
1 0 2
0 1 1
1 0 0
1 1 2
1 2 1
1 2 2
0 1 0
2 0 2
10 6
3 3 1
0 1 3
0 3 3
3 2 1
1 2 1
2 3 3
3 2 0
2 1 1
0 0 0
3 0 0
10 9
0 0 2
4 0 2
2 0 1
2 1 3
4 3 0
3 3 3
3 4 2
0 3 0
3 0 0
4 3 1
10 3
0 0 3
2 3 2
3 1 2
0 2 2
1 1 3
1 0 2
2 2 3
2 0 2
2 0 1
2 2 0
10 9
0 0 3
0 3 2
2 3 3
2 3 2
3 1 0
3 2 2
3 0 3
3 2 3
0 0 0
3 3 0
10 9
1 2 1
0 0 1
0 1 0
1 0 1
2 1 2
0 2 0
0 0 2
1 1 0
1 2 0
0 0 0
10 7
0 0 0
1 1 4
2 4 4
4 0 2
2 0 2
0 2 2
3 3 3
3 0 4
2 1 4
3 1 0
10 9
2 3 0
5 0 2
3 4 2
0 3 3
3 5 5
5 4 0
4 5 0
3 2 0
4 0 0
5 3 3
10 4
2 2 4
3 3 1
4 1 1
4 3 2
4 2 4
0 4 2
2 1 0
3 4 1
2 4 4
0 4 4
10 5
2 0 2
3 1 3
1 3 2
2 4 5
2 1 0
5 1 5
3 0 2
2 1 5
4 1 1
0 3 5
10 6
3 1 4
0 1 4
0 0 4
0 4 4
4 3 0
1 0 2
2 2 4
2 1 4
4 0 3
2 3 0
10 5
2 2 1
0 1 2
0 0 2
0 1 0
1 2 0
2 1 2
0 1 1
1 0 2
1 0 1
0 2 1
10 7
0 4 2
5 3 5
1 3 4
1 4 0
3 0 3
2 4 4
4 2 2
3 4 1
2 3 2
3 0 4
10 8
3 0 3
1 2 1
2 2 1
3 1 2
0 0 3
0 3 0
1 3 3
1 0 3
2 1 3
0 0 1
10 7
2 1 2
0 0 1
0 1 0
1 0 0
2 2 1
2 1 1
2 0 1
2 1 0
2 2 0
1 0 2
10 7
0 3 2
3 1 5
5 3 3
4 4 1
5 5 3
5 2 4
3 0 2
3 3 2
1 4 3
4 1 4
10 4
1 3 2
0 0 0
0 1 2
2 1 2
3 2 2
2 3 2
1 3 3
2 1 3
0 2 0
1 1 1
10 6
1 2 2
0 2 4
2 1 3
4 2 4
5 5 1
0 0 0
5 3 4
2 1 5
0 2 3
0 3 5
10 2
2 1 0
3 1 3
1 0 1
3 3 3
1 2 3
0 3 0
2 1 3
2 0 3
2 2 1
0 2 2
10 8
0 3 0
3 2 2
0 3 1
0 2 1
1 3 2
3 3 1
2 3 3
1 0 3
2 3 1
1 3 3
10 8
1 2 1
1 2 3
0 1 3
3 1 0
3 3 2
0 3 0
2 3 1
3 2 0
1 2 0
0 2 1
10 2
3 3 2
3 1 2
4 0 1
4 4 1
1 3 0
2 3 3
4 1 3
1 3 1
4 0 0
1 4 0
10 3
0 0 3
1 4 4
3 3 2
0 1 3
3 1 4
1 1 0
2 3 1
3 1 1
2 1 1
1 4 2
10 4
2 1 1
2 0 0
2 1 0
0 1 0
0 1 2
2 1 2
1 2 1
1 2 0
1 1 1
1 1 0
10 4
2 2 0
2 1 3
3 1 3
3 0 0
3 2 3
0 1 0
3 0 3
3 3 1
0 2 2
1 3 3
10 8
2 4 3
0 4 1
3 5 1
0 1 5
2 5 3
4 5 3
4 4 5
0 2 5
5 2 2
0 5 1
10 2
2 4 3
2 3 3
3 3 3
3 4 3
0 2 0
2 0 2
4 1 4
2 3 0
4 2 1
2 1 2
10 9
1 4 2
0 4 3
3 0 3
3 0 2
3 1 1
1 3 2
4 0 4
1 0 0
0 3 0
3 0 4
10 9
4 1 3
1 2 3
1 3 2
2 1 0
1 2 2
3 3 2
2 0 4
3 0 1
0 4 0
1 3 0
10 9
2 3 2
2 0 1
2 3 0
0 2 2
1 1 3
3 3 2
0 3 0
2 1 0
0 1 0
1 0 1
10 5
3 0 3
2 2 1
2 3 2
4 2 3
1 4 0
1 1 1
0 0 4
4 1 3
0 0 2
0 2 1
10 4
3 0 3
1 2 3
2 1 0
1 1 3
0 1 0
0 0 2
1 2 0
1 3 2
3 3 2
3 3 1
10 4
2 1 5
2 0 2
5 3 1
2 1 0
2 3 4
5 5 5
5 0 2
2 4 5
2 3 1
1 1 5
10 9
2 4 3
1 3 2
0 2 4
0 4 3
1 3 1
0 4 0
0 3 0
2 3 0
4 1 2
2 1 4
10 8
5 2 2
5 4 0
1 2 5
4 0 2
4 2 4
5 2 3
1 2 1
4 5 5
4 4 0
2 5 3
10 9
2 2 2
3 3 3
0 0 0
4 2 5
1 1 2
5 5 1
2 5 4
5 4 3
3 4 2
3 5 0
10 7
1 2 3
3 3 2
1 0 2
2 1 3
3 2 2
3 0 0
3 0 2
2 0 0
1 3 2
2 2 1
10 4
1 2 1
4 0 3
3 2 2
4 2 4
4 1 1
0 3 4
4 3 3
0 3 0
4 3 0
1 1 4
10 4
1 0 2
3 3 4
0 0 4
2 2 0
2 3 4
1 4 4
1 1 4
0 1 3
3 3 1
1 1 2
10 3
1 2 0
4 0 3
2 2 0
2 1 3
1 2 4
1 4 2
3 2 3
4 0 4
0 4 3
0 1 0
10 6
1 3 3
3 0 5
3 3 4
5 0 0
4 2 3
5 3 4
2 5 5
4 1 1
2 2 3
0 4 1
10 5
0 2 4
0 2 3
4 3 1
4 1 3
3 4 2
2 1 0
3 3 4
0 3 3
1 4 1
3 1 2
10 6
0 0 1
2 2 0
1 0 0
1 1 0
1 2 0
0 2 2
2 1 1
0 1 2
1 2 2
1 1 1
10 2
2 2 2
0 0 3
4 4 5
2 2 3
0 5 1
1 5 3
0 1 2
4 4 2
5 4 5
3 2 1
10 7
0 2 3
3 2 2
2 1 3
3 3 2
1 0 1
2 2 2
2 3 0
1 3 2
3 0 2
0 1 2
10 7
2 0 0
0 2 0
1 0 2
0 0 1
1 2 2
2 2 1
0 0 0
1 1 2
1 0 1
2 2 2
10 6
3 3 1
1 0 0
1 3 2
3 2 1
0 2 1
1 2 3
3 2 0
0 0 3
2 0 2
0 1 2
10 9
0 4 1
2 3 1
0 0 1
2 4 2
1 2 1
0 4 0
3 3 1
3 2 4
4 2 0
4 1 1
10 4
0 4 4
2 0 0
2 2 2
2 0 4
4 1 2
0 0 1
1 2 4
0 0 4
4 0 3
2 4 0
10 7
4 5 4
5 4 2
5 5 2
1 1 2
2 4 2
2 0 2
1 1 0
0 4 4
0 3 4
1 0 0
10 3
2 4 1
2 1 0
2 4 3
0 3 1
2 4 0
4 4 2
0 1 3
4 1 0
0 0 0
2 3 1
10 8
0 1 2
0 2 0
2 0 2
1 0 2
1 1 1
1 1 0
2 2 0
0 0 0
2 1 2
1 1 2
10 4
2 0 3
3 0 2
3 1 1
0 2 2
1 2 1
1 1 2
0 2 0
1 0 3
3 3 2
3 3 1
10 6
5 1 0
2 4 3
1 1 5
3 0 4
1 5 3
0 3 0
1 2 1
4 2 4
2 1 4
5 0 2
10 6
2 0 4
2 2 1
4 1 1
0 5 2
0 0 4
3 2 4
1 4 5
0 1 4
5 4 4
2 2 0
10 6
1 4 3
1 0 1
3 3 0
3 3 1
2 1 3
2 3 0
3 0 0
0 4 4
0 1 2
3 4 2
10 8
1 2 0
3 1 2
0 0 0
0 1 3
0 1 0
2 1 1
1 0 0
3 2 2
2 0 1
3 1 1
10 2
0 1 0
0 0 1
0 1 1
2 2 0
1 2 1
1 1 2
0 0 2
1 1 1
2 0 0
1 1 0
10 3
0 5 3
1 2 2
2 5 4
2 2 1
3 4 1
2 2 5
2 3 1
5 3 4
4 0 4
0 0 3
10 8
1 1 0
1 2 3
2 2 0
0 3 1
0 0 0
3 0 3
0 3 0
1 3 3
0 2 2
0 3 2
10 8
2 0 2
1 2 3
3 3 2
2 1 1
2 3 1
2 2 3
0 0 2
1 2 1
2 2 1
0 1 3
10 3
4 0 2
3 0 1
5 2 2
3 2 2
1 2 5
0 0 2
5 4 5
4 1 1
2 0 4
5 2 4
10 9
0 2 4
2 2 3
2 2 2
3 2 3
4 0 0
1 3 0
1 4 2
1 1 2
1 4 1
1 3 4
10 5
0 1 3
3 0 2
0 1 2
2 0 3
3 1 3
0 2 0
0 0 0
2 3 2
1 1 2
2 3 0
10 3
0 2 2
2 0 1
2 1 1
0 0 0
2 2 2
1 2 1
0 1 2
1 0 2
2 1 0
1 0 1
10 4
3 3 3
0 3 3
3 3 2
1 1 3
1 0 1
1 3 0
3 2 2
0 1 0
0 0 3
3 1 2
10 8
2 3 3
0 3 3
3 1 0
3 3 2
2 3 1
2 1 1
1 1 0
3 0 1
1 0 0
2 0 3
10 9
3 2 5
5 1 3
5 3 4
2 5 5
3 3 5
0 2 0
5 2 3
1 3 2
0 0 1
1 4 1
10 2
3 4 3
0 0 2
3 2 4
2 4 0
0 0 4
4 5 5
1 5 1
3 5 2
0 2 4
1 2 1
10 9
2 1 5
0 0 3
0 2 4
3 1 4
5 1 2
0 3 5
1 1 0
4 0 0
3 0 1
2 4 2
10 5
1 3 1
3 3 3
2 0 3
3 3 4
3 0 4
2 1 2
0 0 2
2 0 2
2 0 4
3 0 1
10 2
2 4 0
4 0 1
5 1 5
5 0 5
1 3 1
2 1 3
4 3 3
4 2 3
4 3 2
1 5 3
10 2
2 2 3
0 0 0
2 3 1
2 0 2
3 3 1
2 3 3
2 1 3
1 2 3
0 0 3
1 0 2
10 4
2 0 0
0 0 2
1 2 2
1 3 3
0 2 0
0 1 1
3 0 0
0 1 3
2 0 3
0 0 1
10 6
0 0 1
2 1 1
2 2 3
1 3 2
3 0 2
3 2 2
1 3 1
0 2 1
1 1 1
0 0 0
10 9
0 4 5
5 3 3
3 4 5
2 0 1
5 3 5
2 4 3
3 0 0
2 4 5
3 5 1
4 3 1
10 2
1 2 1
3 0 1
3 3 0
0 2 0
4 2 1
3 3 2
4 1 3
4 2 4
0 3 1
2 1 4
10 8
2 1 0
2 0 0
0 1 1
1 2 1
0 2 2
2 1 1
2 0 1
2 2 0
0 0 2
0 2 1
10 4
1 1 0
2 1 0
0 0 2
0 2 2
0 0 0
1 0 0
2 2 1
1 1 2
1 1 1
2 0 0
10 9
3 0 1
2 1 1
1 3 2
1 1 2
3 2 2
0 2 3
1 0 1
1 2 1
1 0 3
0 3 1
10 7
2 2 0
2 1 3
0 0 1
2 2 1
3 2 0
1 1 1
1 3 2
1 2 3
1 0 0
3 1 2
10 2
0 2 3
0 4 2
0 0 4
3 4 3
0 3 1
0 4 3
4 2 0
1 1 0
0 0 0
1 1 3
10 5
2 1 3
1 0 1
4 3 1
2 3 0
3 0 0
1 2 3
4 2 0
2 0 2
2 4 2
3 1 1
10 4
0 0 1
2 1 1
1 2 0
0 0 2
2 2 0
2 0 2
0 0 0
2 1 0
1 2 1
0 1 0
10 9
0 3 5
1 5 5
1 4 1
0 5 5
4 0 1
1 0 1
2 0 0
0 1 3
1 3 5
1 2 5
10 5
3 2 1
2 2 1
3 2 0
0 0 0
2 0 0
3 3 2
2 3 0
0 2 0
1 3 2
1 2 1
10 7
0 3 2
0 0 0
2 3 1
0 0 1
1 2 3
0 1 2
0 1 1
3 2 3
3 0 0
1 2 0
10 9
3 0 0
0 3 0
2 3 1
2 1 3
2 2 2
3 1 3
1 1 0
0 2 2
1 2 1
0 2 0
10 6
0 1 2
3 3 1
3 3 0
3 0 0
1 1 3
3 1 0
1 2 3
1 1 1
3 2 2
0 2 1
10 8
1 2 0
0 3 0
1 0 1
2 1 2
3 3 1
1 3 3
1 1 3
3 3 3
2 0 2
1 2 3
10 3
0 3 0
0 2 4
3 3 3
2 1 4
2 0 0
1 2 4
4 1 4
2 2 1
0 3 1
3 1 1
10 4
2 2 1
0 3 2
1 0 0
1 3 1
0 3 3
3 0 3
1 0 3
2 2 2
3 0 1
2 1 0
10 5
1 3 4
2 4 2
0 3 2
1 2 1
0 0 2
2 2 0
3 1 3
1 3 0
3 0 2
2 3 1
10 7
0 0 3
2 0 2
2 3 0
2 3 2
0 3 1
2 1 0
2 1 2
0 2 2
1 0 2
3 3 3
10 5
1 2 1
0 0 0
1 0 2
1 1 1
2 0 0
0 2 1
2 2 1
0 2 0
1 2 2
2 1 1
10 6
2 2 0
3 3 0
2 3 2
3 2 4
2 4 0
2 2 1
3 1 0
0 3 4
3 0 2
1 0 1
10 5
4 0 1
1 3 1
0 3 1
3 4 1
2 3 1
1 1 0
4 2 1
2 2 3
1 2 2
0 2 3
10 9
2 1 2
2 2 2
2 0 1
1 0 2
0 3 0
3 1 0
3 1 2
0 0 1
1 1 2
3 0 2
10 8
0 0 3
4 4 4
5 2 4
3 5 4
0 0 5
3 2 0
3 4 3
0 5 5
3 2 3
3 0 1
10 2
1 0 1
1 2 0
0 1 2
2 0 0
1 0 0
0 2 0
0 1 1
1 1 2
1 0 2
1 2 2
10 6
1 1 2
2 2 1
2 0 0
1 2 2
2 2 2
0 1 0
2 1 1
1 2 0
1 0 1
1 1 1
10 5
4 3 4
3 2 1
5 3 2
2 3 3
5 1 0
3 1 1
0 4 2
1 2 2
0 3 3
2 2 3
10 7
3 2 5
0 1 2
0 2 1
4 2 2
2 2 0
2 0 2
3 0 1
4 3 3
5 5 5
5 3 4
10 5
3 2 0
0 3 4
2 1 0
1 3 2
3 3 4
2 4 3
3 0 2
0 4 2
1 2 3
3 1 1
10 4
3 3 0
0 3 3
3 0 3
0 1 0
3 0 2
2 0 3
1 0 1
1 2 2
3 3 2
1 1 0
10 6
3 0 3
4 4 0
2 1 1
2 4 4
4 2 0
4 2 3
4 0 3
2 4 2
3 4 0
3 1 0
10 5
0 3 0
3 1 2
1 3 2
2 3 2
3 1 1
0 3 1
2 1 2
3 2 1
1 1 2
2 3 0
10 9
1 5 1
2 3 5
1 4 5
2 2 0
0 0 3
0 5 5
2 5 0
3 1 1
2 0 3
5 1 3
10 4
2 0 3
1 1 3
2 1 3
3 3 2
0 3 2
1 2 1
2 3 3
0 0 3
1 1 1
3 1 0
10 8
1 0 1
2 0 0
1 1 2
2 2 2
0 1 0
0 0 0
2 2 1
0 1 1
2 0 1
0 1 2
10 6
3 2 0
1 0 3
3 5 0
0 0 0
0 3 0
4 0 1
1 0 2
4 1 2
0 2 5
1 4 2
10 3
3 1 3
3 1 0
3 0 4
2 4 2
0 3 3
4 1 1
4 3 1
0 4 4
1 2 3
1 2 2
10 4
0 3 3
2 1 2
3 1 0
1 1 2
1 2 2
2 2 2
1 1 3
0 1 3
2 0 2
2 2 1
10 7
1 1 2
2 1 1
0 1 0
1 1 0
0 2 2
0 2 0
1 2 1
1 0 2
1 2 0
2 2 1
10 7
0 2 0
5 2 2
3 3 2
3 1 3
5 3 3
4 4 5
0 0 5
0 4 4
2 4 2
2 2 4
10 2
2 2 1
1 3 4
4 2 1
2 1 2
4 0 1
2 1 4
1 1 1
4 1 4
3 4 0
2 4 4
10 8
0 1 4
4 4 2
1 2 3
4 0 2
4 3 2
3 5 5
1 5 3
2 2 2
2 1 1
2 4 4
10 8
3 2 3
3 2 1
3 0 0
4 3 0
0 4 4
4 4 2
3 1 4
1 4 0
2 3 1
0 4 1
10 9
2 2 2
0 0 0
2 1 2
1 1 0
2 0 1
2 1 0
0 1 2
1 0 2
1 2 1
2 0 0
10 6
0 2 2
2 2 0
2 1 0
2 1 2
1 2 0
2 2 2
0 2 1
0 0 1
1 1 2
0 1 0
10 4
3 0 1
2 2 0
0 1 2
3 3 3
0 0 3
1 2 2
1 1 2
3 0 2
2 3 2
1 1 3
10 2
2 0 1
2 2 2
3 0 0
1 4 0
3 1 1
2 4 2
0 3 1
1 1 3
4 0 3
2 2 1
10 4
0 1 4
1 5 0
0 4 3
2 0 3
1 0 5
5 0 0
5 5 2
0 3 3
1 3 3
1 2 5
10 9
3 3 5
2 3 5
2 5 4
2 2 2
3 3 4
4 0 0
5 2 1
0 4 4
4 3 3
4 4 2
10 4
0 4 4
0 1 4
2 3 4
3 1 0
4 0 1
0 0 2
3 2 4
2 1 3
3 3 4
2 3 1
10 6
1 5 2
3 0 4
0 5 2
5 3 0
0 5 5
0 1 4
2 0 5
3 1 0
1 0 4
1 3 4
10 4
3 0 3
4 0 4
2 4 2
1 2 1
4 1 3
4 0 3
1 0 1
3 1 3
3 2 0
1 4 0
10 5
1 1 0
2 2 1
0 1 1
2 1 2
1 2 0
1 1 1
0 2 2
0 0 0
2 1 1
0 2 0
10 9
2 2 0
2 1 1
1 1 1
1 2 2
1 2 0
2 2 1
0 1 0
0 2 0
0 2 2
0 1 2
10 7
0 0 2
2 2 1
1 1 2
1 1 0
1 2 0
2 2 2
0 0 1
0 1 1
2 0 2
1 1 1
10 3
2 3 2
3 0 3
3 1 1
0 3 1
1 2 3
2 2 2
2 1 2
2 3 0
1 0 1
0 1 1
10 7
4 2 2
0 4 2
2 4 4
0 0 1
2 0 1
1 2 0
2 0 3
3 2 1
1 0 1
1 3 1
10 9
3 5 2
2 4 3
4 3 5
2 1 1
2 3 0
2 4 0
3 2 0
2 5 3
3 1 5
2 0 0
10 2
4 4 4
3 1 2
0 3 2
3 0 1
4 1 4
3 0 3
1 0 4
4 0 3
3 4 1
0 2 4
10 8
0 2 0
0 0 0
0 2 1
1 1 2
2 2 1
1 1 0
1 1 1
0 1 2
1 0 0
2 2 2
10 5
3 1 0
1 0 1
4 3 4
2 1 1
1 1 1
0 2 2
0 4 0
0 1 4
1 0 4
1 3 4
10 2
0 0 3
4 1 0
0 1 2
4 4 0
0 2 0
4 3 0
4 0 4
1 3 2
2 2 0
2 3 2
10 6
3 1 2
1 3 0
2 2 3
2 3 0
3 0 0
0 2 1
1 1 0
1 0 3
3 3 0
2 2 0
10 2
2 1 0
0 0 1
0 2 0
1 0 0
0 0 2
2 0 1
1 0 1
1 1 0
0 2 1
2 0 2
10 2
1 0 0
0 1 2
1 0 1
1 1 0
2 0 2
2 2 2
1 1 1
0 2 2
1 1 2
2 1 1
10 4
3 4 1
1 0 0
2 4 2
1 2 4
4 0 0
1 4 1
1 2 1
4 2 0
4 2 1
1 4 4
10 6
0 0 2
2 0 0
2 1 2
0 0 1
1 1 0
1 2 1
2 1 0
1 0 1
0 1 0
0 1 2
10 8
2 3 3
0 0 0
2 3 4
3 2 1
1 1 2
2 0 2
4 2 3
1 4 4
4 4 3
1 0 3
10 9
4 2 0
1 0 3
1 1 5
0 2 2
5 5 2
2 1 0
3 1 2
2 3 3
2 5 1
1 5 1
10 6
0 1 4
3 0 2
1 1 2
4 1 3
1 4 4
1 1 0
2 2 1
4 2 1
2 2 3
1 0 1
10 8
2 3 2
2 0 2
2 2 3
0 3 3
2 2 2
3 0 1
3 3 0
0 1 0
1 2 1
3 2 3
10 7
1 3 1
0 4 0
0 0 3
0 0 1
4 2 4
0 1 2
0 1 4
0 3 1
4 1 4
1 4 3
10 5
2 4 0
0 1 1
4 1 3
5 3 2
2 4 1
0 2 4
2 5 5
5 4 4
2 2 3
3 3 4
10 6
2 2 2
0 2 2
1 2 0
2 0 1
0 1 1
1 1 1
2 2 0
1 1 0
2 0 0
2 1 1
10 5
0 0 1
2 2 1
2 2 0
2 1 1
0 0 0
1 2 1
0 0 2
0 1 2
1 0 1
0 1 1
10 9
3 0 2
3 3 3
2 3 2
3 2 0
1 1 3
1 3 1
2 2 3
0 1 3
2 3 0
1 0 2
10 5
3 0 3
0 2 0
1 2 1
3 0 0
3 1 0
2 1 2
1 3 2
1 1 3
2 2 3
2 0 2
10 6
1 3 1
0 0 0
1 0 1
3 1 0
1 0 0
1 1 0
3 2 3
2 2 2
2 2 0
2 0 3
10 5
1 1 0
2 1 1
1 2 0
0 0 2
0 2 0
2 0 1
1 2 2
2 0 2
2 2 2
0 0 1
10 3
4 2 1
3 0 3
2 4 3
4 3 0
0 1 2
2 0 1
1 0 1
1 0 3
1 1 3
1 4 2
10 7
2 3 3
0 0 1
2 2 3
2 0 1
3 2 0
0 0 3
2 3 0
2 2 2
0 3 3
3 1 0
10 5
0 2 0
2 1 2
2 1 1
2 2 2
1 0 0
0 2 2
1 1 0
1 1 2
1 1 1
0 1 1
10 9
2 3 2
3 2 1
3 2 0
3 2 2
0 0 3
3 3 3
2 1 3
0 3 2
1 3 3
3 0 2
10 4
3 2 0
2 0 3
0 1 0
0 3 0
2 4 0
3 1 2
3 1 1
0 3 4
1 4 3
4 0 4
10 3
0 0 0
0 2 1
0 2 2
3 0 3
2 0 2
1 1 3
3 1 1
1 2 3
2 2 1
1 1 1
10 4
3 2 0
1 1 1
0 1 1
3 2 2
1 3 3
1 2 1
1 3 2
1 0 0
2 1 3
3 0 2
10 9
0 3 2
0 4 1
2 3 2
2 1 3
4 4 0
2 4 1
2 3 3
0 0 2
4 4 2
1 2 4
10 9
2 1 0
4 5 1
1 0 4
4 4 5
1 0 5
2 4 4
0 4 1
4 1 2
1 2 2
2 0 5
10 3
2 0 1
0 0 0
2 1 2
2 2 1
2 1 0
2 2 2
0 2 2
1 2 2
0 0 1
0 1 2
10 7
0 2 2
2 3 0
2 2 2
1 3 2
2 3 3
0 0 0
0 3 1
0 1 1
2 3 1
2 2 1
10 5
3 0 3
1 1 3
3 4 1
4 1 3
3 2 1
1 0 4
4 2 3
3 4 4
2 4 0
4 0 2
10 4
3 3 2
0 2 1
3 0 1
3 0 2
2 0 1
0 1 1
0 3 2
0 0 1
2 2 2
1 2 0
10 2
1 0 0
4 3 3
3 2 0
0 3 2
2 0 0
3 4 4
2 0 3
2 4 2
4 2 3
3 3 1
10 5
1 2 4
4 0 2
4 0 1
3 2 1
4 1 3
3 0 3
4 4 4
2 1 3
2 3 2
4 3 4
10 6
1 1 0
4 4 4
0 4 3
2 3 5
3 1 3
2 5 2
2 0 5
2 2 4
4 2 4
2 2 2
10 8
3 4 1
1 5 0
5 1 5
0 3 4
5 3 5
5 3 2
3 0 0
2 5 5
1 1 4
3 0 1
10 7
3 3 4
4 4 2
2 1 2
0 2 2
0 1 0
4 0 3
0 1 1
4 0 0
3 3 1
0 0 3
10 5
1 0 2
0 0 0
1 2 1
2 1 1
1 0 0
2 0 1
2 2 1
0 2 0
2 2 2
1 1 1
10 7
2 3 2
0 0 0
0 1 2
0 1 1
1 2 3
0 2 0
2 2 2
1 3 0
0 0 2
1 0 1
10 8
0 0 4
1 1 1
5 0 5
5 3 5
2 5 2
3 0 0
4 0 3
4 4 3
2 4 5
4 3 0
10 6
4 2 1
0 3 3
3 1 1
5 0 1
3 5 3
0 3 1
1 5 2
5 5 0
1 4 2
4 3 0
10 7
3 1 1
2 1 1
1 1 3
2 2 3
3 0 2
0 2 2
2 1 2
3 2 1
3 3 0
0 2 3
10 4
1 4 2
4 4 3
0 4 3
0 5 2
1 4 1
0 2 4
0 1 0
4 2 2
3 1 3
1 1 0
10 9
3 4 0
0 4 0
1 4 0
3 0 4
4 1 0
2 4 2
0 1 4
0 3 4
3 0 1
2 3 1
10 9
0 1 1
0 2 0
2 0 2
2 1 0
1 1 0
2 2 1
0 1 0
1 2 0
0 2 1
1 2 2
10 6
0 0 1
0 0 2
1 0 1
0 1 2
2 2 0
2 2 1
1 2 0
0 1 0
1 0 0
2 1 0
10 9
1 1 1
0 0 2
1 0 2
1 2 2
1 1 0
0 2 2
1 0 1
1 2 0
1 0 0
0 1 0
10 2
5 0 2
3 0 3
1 0 3
2 3 1
0 1 5
4 4 1
3 4 3
4 5 5
0 1 0
3 1 3
10 6
2 1 2
2 0 0
2 1 1
0 0 0
0 1 0
1 1 0
0 2 2
1 2 1
1 2 2
2 2 2
10 2
5 3 4
4 1 3
2 4 0
5 1 3
5 0 0
0 1 5
5 1 1
4 5 1
5 2 3
3 4 5
10 8
2 0 1
2 3 0
5 3 0
2 4 2
2 2 3
0 0 1
1 1 4
4 1 0
4 4 3
4 3 2
10 6
2 1 1
0 1 1
1 0 2
2 0 0
2 1 2
1 1 1
0 2 0
1 0 1
2 0 2
0 2 2
10 7
2 4 3
1 4 4
0 0 5
0 4 0
5 5 0
0 5 0
5 5 4
3 4 0
5 2 4
0 0 3
10 9
0 0 0
0 0 1
1 0 2
0 1 0
0 1 2
1 1 2
0 2 1
1 2 1
1 1 1
2 1 1
10 2
0 2 2
1 2 2
2 2 1
2 1 2
2 1 0
1 1 0
0 2 1
2 2 2
0 2 0
1 2 1
10 9
1 0 2
2 3 2
0 1 1
4 0 1
1 2 1
0 4 1
4 2 2
0 1 2
4 3 0
4 1 4
10 6
0 0 3
2 3 0
4 1 1
3 0 3
2 0 1
4 4 3
4 2 0
0 3 0
2 4 2
3 4 1
10 6
4 0 4
3 0 2
0 1 2
1 3 0
4 3 3
4 3 4
3 3 4
3 0 3
2 1 3
1 2 0
10 4
0 1 2
1 1 0
0 1 0
1 0 1
1 0 2
2 1 2
1 0 0
2 1 1
0 2 0
0 2 2
10 4
1 1 2
2 2 2
2 0 2
0 2 0
0 1 1
0 0 2
1 0 2
2 0 0
2 1 1
2 1 2
10 6
0 0 2
1 2 0
0 2 1
0 2 0
2 2 2
1 2 2
2 1 1
0 1 1
2 2 1
2 0 0
10 3
5 1 0
5 2 3
4 5 0
3 4 3
1 0 4
3 3 2
5 2 1
4 5 4
3 2 4
0 5 4
10 6
3 3 3
3 2 2
1 0 2
2 4 0
4 4 1
0 3 3
0 4 4
2 0 4
1 1 3
1 2 0
10 8
0 2 0
0 1 0
0 1 1
1 2 3
3 2 1
0 2 3
3 3 1
2 0 2
2 1 3
0 3 3
10 4
2 4 0
0 0 4
0 1 0
3 1 2
1 4 4
3 0 1
4 0 5
5 5 5
1 1 1
4 4 2
10 8
1 3 0
2 0 3
0 1 0
1 0 0
0 2 2
0 0 2
3 0 0
0 1 2
3 2 2
1 0 2
10 4
1 0 2
3 0 1
3 4 3
0 3 0
1 4 4
2 3 4
3 2 2
3 1 3
3 4 4
4 3 2
10 5
1 3 3
1 0 1
2 1 2
1 3 1
0 0 1
0 0 3
1 2 2
3 2 3
2 0 1
1 0 3
10 7
1 0 2
2 2 2
1 2 2
1 1 1
0 2 2
0 1 0
2 2 1
1 1 0
2 0 0
2 1 2
10 9
3 5 3
0 4 1
1 4 1
4 4 5
1 1 3
1 3 3
5 1 5
2 5 1
5 5 0
3 1 1
10 7
0 0 5
3 2 0
1 2 1
2 5 0
3 1 0
2 0 0
2 5 5
0 4 4
2 3 2
5 0 4
10 5
2 2 0
0 1 1
2 0 0
1 0 2
2 1 2
2 2 2
0 0 2
1 1 2
1 2 2
1 0 0
10 2
0 4 3
4 3 1
3 2 4
4 2 1
4 3 0
3 3 3
3 3 2
2 1 0
0 0 4
1 1 3
10 7
0 3 0
0 1 0
3 0 1
1 2 2
2 3 2
3 1 1
1 0 1
3 0 0
3 2 3
2 0 3
10 7
2 2 1
2 3 0
3 0 1
0 1 0
2 3 3
3 3 3
3 3 1
0 3 2
3 1 3
0 1 1
10 9
1 3 4
2 1 2
5 1 5
4 1 0
2 3 5
2 4 1
5 4 0
5 0 5
3 5 3
4 0 3
10 9
4 4 0
0 1 1
2 1 2
0 0 0
3 1 3
1 2 0
4 0 0
4 2 4
2 4 0
2 4 3
10 7
2 1 2
0 1 3
1 1 1
1 2 2
0 3 2
2 3 0
2 1 1
1 2 0
3 0 3
3 3 1
10 2
3 4 0
4 1 3
2 3 4
4 2 0
1 2 0
3 0 3
3 2 4
1 2 4
4 1 1
2 2 4
10 4
0 1 1
1 0 2
1 2 0
2 1 0
2 2 1
0 0 1
0 0 2
0 1 2
0 2 0
0 2 1
10 4
3 4 0
2 3 2
4 3 0
4 4 1
5 5 2
2 1 5
0 4 2
2 5 0
0 1 2
5 2 0
10 4
5 4 2
0 2 5
1 5 0
0 2 3
1 3 2
1 3 1
4 2 1
3 4 2
3 1 3
4 2 4
10 6
0 0 4
4 1 1
2 4 4
3 2 2
3 4 1
0 4 4
2 3 0
2 1 0
2 2 0
3 4 4
10 6
5 2 4
3 1 2
1 0 0
4 2 1
0 0 0
4 5 1
0 3 2
1 2 3
3 5 2
2 1 0
10 7
3 0 3
2 2 2
2 2 0
2 1 3
2 0 0
1 0 0
0 3 0
0 0 3
0 3 2
2 0 1
10 6
2 0 1
4 1 2
1 1 2
3 4 3
1 4 3
0 3 1
2 0 3
4 4 3
2 1 0
4 4 4
10 9
1 1 0
2 2 2
2 1 2
2 1 0
0 0 2
2 0 1
0 2 0
1 0 0
0 0 0
1 2 0
10 5
2 1 0
2 2 2
1 0 1
1 1 1
1 1 2
2 2 0
1 1 0
0 2 2
2 0 2
2 2 1
10 5
1 5 5
5 0 0
0 2 0
0 4 2
1 0 4
4 5 1
5 2 0
3 4 3
1 2 5
3 0 1
10 9
2 3 2
3 0 3
3 4 3
4 2 0
3 2 2
2 0 4
0 4 4
0 0 3
2 1 1
2 4 2
10 5
2 2 1
2 3 1
0 3 2
0 1 2
0 2 0
3 3 2
2 3 3
0 0 3
3 1 0
2 2 0
10 6
2 2 3
3 3 0
2 1 0
1 3 3
0 1 0
2 0 2
2 0 0
0 3 3
0 2 1
0 1 2
10 7
5 1 1
1 5 3
4 3 5
1 4 0
4 1 2
5 3 0
5 4 4
0 3 3
0 2 4
4 2 5
10 2
0 2 2
1 0 0
1 0 1
2 2 1
0 1 0
1 0 2
1 1 0
0 1 1
2 1 2
0 0 1
10 8
0 1 2
2 2 1
4 4 2
0 1 1
3 5 4
4 4 3
5 1 0
3 5 0
4 0 0
5 5 1
10 6
2 4 4
2 0 1
2 1 4
1 1 1
2 2 2
3 2 0
3 1 2
4 0 3
3 3 3
4 1 1
10 9
0 5 2
3 3 0
4 1 5
0 2 5
4 1 2
3 5 4
3 1 0
2 5 0
5 5 0
1 3 3
10 9
1 1 3
3 2 2
2 2 3
3 3 1
1 0 3
2 3 3
1 2 0
2 0 0
3 0 0
0 3 1
10 2
2 0 3
3 0 2
0 2 1
1 0 3
0 3 3
2 0 2
3 1 1
1 1 0
3 0 0
0 0 1
10 5
3 4 3
1 4 2
4 0 4
0 0 3
2 4 2
3 0 3
4 3 0
3 4 4
2 0 0
4 2 4
10 6
1 3 0
3 0 2
3 4 4
2 4 4
1 2 4
3 0 0
1 4 1
3 4 3
2 0 0
1 2 3
10 7
4 4 1
2 2 3
1 0 2
1 1 1
4 4 3
0 0 2
0 4 4
3 0 2
0 0 3
1 4 0
10 7
0 1 0
0 0 0
2 2 1
1 2 2
1 1 1
2 0 0
1 1 0
1 2 0
2 2 2
0 2 1
10 5
0 2 2
1 1 2
2 2 1
3 3 3
2 1 2
2 3 3
3 3 2
1 2 3
1 0 1
2 2 3
10 4
4 0 3
5 3 4
5 1 0
3 3 3
4 5 2
0 3 5
2 1 1
3 0 2
1 0 2
4 4 3
10 7
1 3 0
2 1 0
2 3 2
2 3 1
0 2 0
3 2 1
0 2 2
2 2 0
3 0 1
1 0 2
10 8
0 2 0
0 1 1
0 1 2
2 2 1
2 2 2
2 1 0
0 0 2
2 0 2
2 1 2
2 2 0
10 3
0 2 0
3 1 3
0 0 1
0 3 3
2 1 1
2 2 2
3 3 3
2 2 1
3 0 2
1 1 3
10 2
3 0 2
2 4 4
3 2 0
3 3 4
3 1 2
0 3 1
4 3 0
3 2 3
4 4 1
0 2 0
10 8
2 0 1
2 1 5
2 2 0
2 3 5
0 2 1
2 3 3
3 0 1
2 5 4
2 3 2
5 0 5
10 4
2 3 1
2 3 4
2 2 2
2 4 3
1 3 2
0 3 3
0 4 4
0 4 2
2 1 0
0 3 2
10 7
0 0 0
2 0 2
0 2 0
0 1 0
0 2 1
2 0 1
2 2 0
0 2 2
0 0 2
1 1 2
10 9
0 1 0
2 0 3
0 1 3
3 0 1
0 0 1
0 1 2
2 1 2
1 3 2
3 1 3
1 0 0
10 6
2 0 4
4 1 4
0 0 4
0 3 1
3 3 4
1 4 0
3 3 0
4 2 2
3 0 3
4 1 1
10 9
4 2 4
0 1 4
0 1 2
0 2 4
0 1 0
3 1 3
2 2 1
4 5 2
3 2 0
1 5 4
10 5
2 3 3
4 0 2
0 4 2
2 3 1
2 3 2
2 1 4
1 1 2
2 3 4
2 1 0
4 4 4
10 2
3 1 0
3 0 3
2 3 0
1 2 1
1 2 2
2 2 3
2 0 2
2 3 3
3 3 3
1 1 1
10 7
1 3 2
2 1 0
0 2 0
2 0 3
1 2 0
3 2 2
0 2 1
0 1 1
3 3 0
3 0 0
10 8
0 2 3
2 1 3
1 0 4
4 2 1
0 4 2
4 2 2
3 1 1
4 4 3
3 3 2
3 1 0
10 5
0 0 0
0 1 2
2 2 0
2 2 2
0 1 0
0 1 1
1 0 2
1 0 1
1 0 0
0 2 1
10 3
1 1 2
1 0 2
1 2 2
2 1 1
2 0 1
1 1 0
1 2 0
1 1 1
2 2 2
0 1 1
10 6
2 2 2
0 1 4
4 4 0
5 4 2
0 2 1
3 4 3
1 3 1
5 0 4
3 0 3
0 2 5
10 7
3 2 0
0 2 2
2 3 1
2 0 2
2 3 2
0 3 2
3 3 0
2 1 1
3 0 0
2 2 1
10 7
3 0 0
2 3 1
0 3 0
2 4 3
4 2 0
0 4 0
2 2 2
0 0 1
1 3 3
0 0 3
10 2
3 3 3
1 4 3
1 0 3
4 0 3
0 3 4
3 1 5
1 3 2
0 2 0
5 0 4
0 1 5
10 6
5 1 5
4 4 2
5 0 2
3 5 3
1 1 4
3 4 4
0 3 2
1 3 5
0 2 1
0 1 4
10 9
1 0 1
0 1 3
1 5 2
1 2 1
3 5 0
0 4 1
5 1 0
5 2 5
3 3 0
4 5 2
10 4
5 4 5
0 3 4
0 1 4
3 1 5
1 0 3
4 3 1
2 2 1
0 2 2
3 4 3
1 4 2
10 4
2 1 1
2 2 0
1 2 0
0 2 1
2 0 1
1 2 2
2 0 2
0 2 0
1 1 1
0 0 1
10 7
0 3 4
1 1 2
4 3 0
2 3 3
4 4 1
3 3 3
0 3 2
4 2 0
0 0 4
4 2 4
10 4
1 1 1
3 0 0
0 1 2
0 0 4
0 1 4
1 0 1
1 2 4
2 1 4
4 0 4
0 4 2
10 3
0 2 0
0 0 1
0 1 3
1 4 4
3 0 0
3 1 4
1 4 1
1 1 2
4 2 2
4 4 4
10 4
2 2 2
1 0 2
1 4 2
3 4 2
3 0 0
3 3 4
0 4 0
1 4 3
1 3 0
4 1 4
10 7
0 2 2
1 2 3
1 3 3
1 4 1
1 0 1
0 1 4
1 1 3
4 1 0
2 2 2
0 3 0
10 6
1 1 1
2 1 0
2 2 2
0 0 0
2 2 0
2 0 2
1 1 2
2 0 1
1 2 1
0 2 2
10 7
1 0 3
2 3 0
2 1 2
0 1 3
3 0 2
2 0 0
1 3 0
2 3 1
3 0 3
3 2 1
10 2
1 4 0
1 2 4
4 3 1
2 3 4
3 2 3
1 4 4
2 1 4
2 0 0
1 1 1
4 3 0
10 7
1 5 0
0 2 5
2 1 1
2 3 1
5 5 2
5 5 5
3 5 2
3 3 0
3 5 5
0 4 4
10 3
3 3 5
4 3 2
0 1 5
4 2 3
2 2 5
4 3 1
4 0 3
5 3 4
1 4 1
2 4 4
10 5
0 1 3
3 2 0
2 3 3
2 0 1
2 1 3
1 1 2
0 1 0
1 3 1
3 1 0
0 2 3
10 5
1 1 2
2 1 1
0 1 1
1 2 1
2 2 0
2 1 0
2 0 0
1 0 2
0 0 2
0 0 0
10 7
0 3 3
1 2 0
3 0 2
1 1 3
1 1 1
1 2 1
0 1 1
3 0 1
2 0 2
3 3 3
10 6
1 0 0
0 3 1
2 0 3
1 1 2
1 3 2
0 1 1
0 3 3
3 1 0
3 3 1
3 0 3
10 9
2 3 3
4 0 4
0 2 0
2 1 3
0 0 4
3 3 3
3 2 3
3 2 4
3 0 4
2 4 0
10 3
2 0 3
2 1 0
3 1 2
3 2 3
2 3 3
0 3 0
0 0 0
3 3 2
2 2 0
1 2 3
10 8
2 2 4
1 0 2
3 2 3
0 4 4
1 3 3
2 1 4
2 1 1
1 2 1
0 1 3
1 4 3
10 2
2 0 2
5 5 2
2 1 5
5 5 4
3 0 5
3 1 0
4 2 4
1 1 1
3 1 5
2 3 3
10 6
5 3 2
0 1 4
1 0 5
1 0 4
1 1 5
3 3 3
1 4 4
1 4 2
0 3 2
5 5 5
10 8
2 1 0
0 2 0
2 0 2
1 1 1
1 2 2
0 0 1
0 1 0
0 1 1
1 2 1
1 0 1
10 9
3 1 1
2 0 2
0 3 3
1 3 0
0 1 1
0 3 1
1 1 0
3 1 3
1 3 2
3 2 1
10 8
2 1 2
1 0 1
1 0 4
4 3 1
2 2 5
0 3 0
0 3 3
0 1 4
3 4 1
1 4 3
10 6
2 1 2
1 1 2
0 1 0
0 1 1
0 1 2
1 2 1
0 0 2
0 0 0
2 2 2
1 2 2
10 7
2 1 2
1 1 1
0 1 1
1 1 0
1 0 2
1 2 0
1 2 1
1 0 1
2 1 0
0 1 0
10 5
1 0 1
3 0 0
1 0 3
1 3 3
0 1 2
2 1 3
0 3 0
1 2 2
0 2 0
1 1 2
10 7
1 3 0
0 1 3
1 1 1
0 2 3
1 1 2
3 2 0
1 2 3
3 0 1
3 2 2
2 2 3
10 8
3 4 1
3 2 0
4 4 4
0 3 2
4 0 2
3 0 0
1 1 4
3 4 4
1 4 2
1 1 2
10 8
3 0 0
2 3 3
2 2 2
2 0 1
0 3 0
0 3 2
3 1 0
2 3 0
3 2 0
0 2 0
10 7
1 1 2
0 0 1
0 0 0
0 0 2
0 1 2
2 2 0
2 1 2
1 2 2
1 2 0
2 0 2
10 3
1 3 3
0 2 1
0 3 3
0 1 2
2 0 1
1 1 0
3 0 1
2 2 2
3 2 2
2 3 0
10 3
4 0 4
3 2 3
2 3 2
0 3 4
1 1 4
0 0 4
4 1 2
0 2 2
4 2 3
4 2 1
10 6
2 2 0
2 1 1
1 2 1
0 1 0
2 0 2
2 2 2
1 0 2
0 1 1
1 2 0
1 1 2
10 6
1 2 2
2 3 1
0 3 3
1 0 1
1 1 3
0 0 2
0 0 3
1 2 0
0 1 2
0 2 0
10 9
1 0 0
2 1 1
2 1 0
1 0 2
0 0 0
1 1 0
0 1 0
0 0 1
1 2 0
2 1 2
10 7
2 5 3
4 3 2
4 5 4
4 4 5
3 1 3
0 3 2
2 0 4
5 0 4
3 1 2
0 1 4
10 4
1 0 1
3 1 4
4 3 3
3 2 2
0 3 0
4 4 0
0 0 0
3 0 4
0 0 4
2 4 3
10 3
1 0 2
4 1 1
3 0 2
1 2 4
4 2 4
1 3 0
2 2 1
1 4 1
2 2 0
4 2 1
10 5
2 2 2
0 1 1
1 0 3
0 2 2
1 2 3
0 0 3
3 2 3
1 3 0
1 0 1
0 3 1
10 4
1 0 3
2 0 4
1 3 3
4 1 4
4 4 0
1 3 1
3 0 2
2 3 4
4 0 0
2 0 1
10 5
0 3 2
2 3 3
2 3 0
0 3 0
3 1 2
2 2 0
0 2 2
1 2 0
2 0 2
0 1 1
10 4
1 1 0
2 0 0
1 0 2
1 0 1
0 1 1
2 0 2
0 1 0
2 2 0
1 1 2
0 0 0
10 2
1 3 0
0 1 2
3 3 3
3 3 2
1 1 2
2 1 0
1 0 3
2 0 0
2 0 1
2 1 2
10 7
0 2 3
2 2 0
1 1 2
1 2 0
3 0 0
3 2 1
2 3 3
1 0 0
3 0 3
0 0 2
10 2
3 1 2
3 3 2
1 2 0
2 2 1
1 2 2
0 1 1
0 2 2
1 1 3
0 1 0
2 2 3
10 7
2 0 0
1 3 0
3 2 2
1 0 0
1 3 2
0 3 0
2 0 3
2 3 2
0 1 1
2 0 1
10 3
0 0 1
1 3 3
3 3 1
2 3 0
0 1 1
3 0 2
3 2 1
1 2 0
1 3 1
1 3 0
10 5
1 1 3
3 3 1
2 3 0
2 2 0
3 3 2
0 2 0
3 2 3
0 0 2
3 2 1
0 1 0
10 7
1 1 0
2 1 0
1 0 2
0 0 2
2 1 1
0 2 2
2 0 2
1 2 0
2 2 2
0 0 0
10 3
1 2 1
0 2 3
3 0 2
2 0 3
0 0 2
3 3 0
0 0 1
2 3 1
2 2 0
0 1 2
10 4
1 2 2
1 1 0
2 2 2
0 0 2
0 1 0
0 1 2
2 1 1
0 2 1
1 0 2
2 0 0
10 5
3 2 0
3 1 0
0 1 3
2 2 3
4 0 1
4 4 0
3 0 0
1 1 2
2 3 3
0 2 0
10 9
1 2 3
2 3 3
0 3 1
2 2 0
1 1 3
1 0 2
2 0 0
0 3 0
0 1 0
2 1 1
10 6
2 1 1
2 0 1
2 0 2
0 2 1
1 1 0
2 2 1
2 1 2
1 1 1
1 2 1
0 2 2
10 2
2 1 1
0 1 1
2 2 2
2 2 0
1 2 2
1 0 2
1 0 1
0 0 0
2 0 0
1 1 1
10 9
3 1 4
1 1 4
2 2 2
1 3 3
2 3 4
3 3 1
4 1 4
4 3 3
1 2 3
4 0 0
10 3
1 3 0
1 3 3
0 0 1
3 2 3
2 1 2
3 3 0
2 0 2
2 1 0
1 2 2
3 2 1
10 8
3 2 3
0 1 0
1 0 0
1 0 1
3 0 3
2 0 0
3 1 0
3 0 2
1 0 3
0 0 1
10 3
0 2 4
1 4 5
2 1 0
2 2 3
1 5 1
4 1 5
1 1 1
3 3 1
3 0 5
4 2 3
10 4
2 2 1
0 2 2
0 0 2
2 1 2
1 0 2
1 0 1
1 1 1
0 1 1
2 1 1
2 2 2
10 8
2 4 4
2 1 5
3 1 5
2 3 4
5 3 5
5 5 3
2 2 0
2 5 0
1 2 2
4 5 4
10 8
1 3 4
4 3 3
1 2 0
3 2 0
4 0 3
0 4 4
1 1 4
3 1 3
1 4 3
0 0 3
10 5
4 4 3
2 1 0
1 0 4
1 1 3
1 5 1
3 1 4
5 0 1
4 3 4
0 0 1
3 4 0
10 8
3 3 1
2 4 4
3 1 4
1 3 0
2 4 1
0 0 1
0 2 3
1 1 3
2 0 2
4 4 4
10 9
4 3 3
3 2 5
4 0 2
1 4 0
4 4 3
0 4 3
5 5 2
0 5 4
0 4 2
3 1 1
10 9
1 0 0
3 0 1
1 1 2
0 3 1
2 3 0
0 0 0
0 1 1
1 3 1
0 1 2
3 0 2
10 6
2 2 0
1 1 1
0 2 2
2 2 1
1 0 1
0 0 0
0 0 2
2 1 2
0 1 0
2 1 1
10 8
0 3 1
2 1 1
3 3 2
2 0 3
0 1 3
0 0 2
2 1 2
1 1 0
2 2 0
2 3 3
10 2
1 0 0
1 1 0
0 1 2
2 0 2
1 2 0
1 2 2
0 1 0
2 1 2
1 1 1
0 0 0
10 8
4 2 3
3 1 3
3 4 2
4 3 2
4 2 4
3 3 3
3 2 0
1 3 3
3 3 1
4 2 2
10 8
4 0 1
0 4 2
2 0 4
3 1 1
1 0 2
1 0 1
2 3 4
3 4 1
1 3 2
0 1 2
10 8
1 1 1
2 1 1
0 1 0
2 1 0
2 0 0
0 0 2
1 0 2
1 0 0
0 1 1
1 1 0
10 8
0 3 0
1 3 1
1 2 1
1 0 1
1 2 0
0 2 0
0 1 2
0 0 0
3 2 1
2 1 1
10 5
1 1 0
1 1 2
2 1 0
2 0 0
2 0 2
0 1 2
2 2 0
2 2 3
3 3 1
3 1 0
10 6
0 1 5
2 0 1
1 5 4
1 4 5
1 5 0
4 5 3
2 4 5
0 0 4
4 4 2
2 4 1
10 8
4 1 0
2 4 0
2 3 3
1 1 2
1 4 2
3 2 0
0 2 2
4 2 2
0 3 3
1 2 2
10 6
0 3 0
4 1 0
1 1 1
2 3 3
3 0 4
1 3 2
2 0 4
4 4 3
1 4 2
2 4 2
10 8
3 3 4
1 3 3
2 2 4
1 2 4
4 1 3
2 1 2
4 3 1
0 1 2
1 3 2
1 3 4
10 3
0 2 3
0 3 2
0 3 1
1 2 0
0 3 3
2 1 3
0 1 0
2 3 0
1 3 2
2 0 2
10 9
0 2 0
1 2 3
0 1 3
3 1 1
3 0 1
1 1 0
3 2 2
3 2 1
3 2 0
3 3 2
10 2
4 0 0
5 4 1
5 5 5
0 5 3
4 2 5
4 5 2
0 5 4
5 2 5
4 1 4
5 4 0
10 9
2 3 2
3 3 1
3 2 3
1 1 1
0 1 3
3 2 2
3 3 3
1 0 0
2 2 0
1 0 1
10 7
0 0 0
1 0 0
2 1 1
0 0 2
1 2 1
2 1 0
1 0 1
1 1 0
1 0 2
2 1 2
10 7
5 4 2
0 1 0
2 4 5
4 0 5
2 5 3
0 3 5
4 0 0
1 0 2
0 3 2
3 1 5
10 8
3 4 2
1 1 1
4 0 3
3 1 4
1 1 2
4 2 4
2 3 2
0 3 2
1 2 0
3 1 0
10 4
2 0 2
2 2 2
2 1 0
1 1 1
1 0 1
1 2 2
2 2 0
1 0 2
2 0 1
1 2 1
10 9
0 1 1
2 0 0
0 0 1
1 2 2
1 2 0
2 0 2
0 0 0
0 2 2
0 1 0
1 1 2
10 8
1 0 0
0 3 3
0 1 1
3 3 1
1 1 2
0 0 3
0 2 1
3 2 0
3 2 1
0 2 3
10 6
0 3 2
3 1 0
0 2 3
0 3 0
2 1 1
3 3 2
1 2 0
2 1 3
1 0 3
1 2 3
10 9
1 3 3
4 1 0
4 1 1
2 3 2
2 3 0
1 0 4
0 1 2
0 2 0
1 4 1
4 2 2
10 9
2 3 5
1 4 4
3 2 5
5 1 4
2 0 0
2 1 3
4 3 0
1 3 0
1 0 4
1 0 0
10 4
1 0 3
2 0 3
1 2 0
2 1 1
0 2 2
0 2 3
2 3 3
3 1 0
1 0 1
2 1 2
10 6
0 3 1
1 1 3
0 3 0
2 1 0
2 0 1
4 2 0
3 0 2
0 1 3
4 1 1
4 0 3
10 3
1 0 0
2 0 0
2 0 1
1 1 1
2 1 1
2 0 2
1 1 2
2 1 0
0 2 1
1 0 2
10 8
0 2 2
0 1 2
0 1 0
0 2 0
1 1 2
2 0 1
2 1 0
2 2 0
0 0 0
1 2 1
10 4
1 5 5
2 0 2
2 1 4
1 5 0
0 0 0
0 5 3
0 2 4
2 2 1
4 3 1
5 1 2
10 3
2 2 3
3 3 2
1 0 0
0 0 0
2 3 1
1 0 2
2 2 0
1 1 1
0 1 1
3 0 1
10 7
3 2 3
2 3 3
0 1 4
0 1 3
3 0 4
3 4 2
2 2 0
0 0 3
2 3 4
0 0 1
10 8
1 0 3
0 1 1
1 0 2
2 0 2
3 3 1
0 1 2
0 2 0
0 3 0
2 3 2
3 3 3
10 5
0 4 2
0 3 3
4 2 0
5 0 4
0 2 1
4 3 5
1 2 3
3 4 0
3 4 3
2 3 1
10 7
3 1 1
1 0 3
0 1 1
3 1 3
1 0 1
2 4 0
3 4 4
4 3 3
1 1 3
1 3 0
10 3
5 2 1
4 0 2
0 5 1
0 5 2
0 1 5
0 0 5
5 5 5
1 3 0
1 3 2
5 0 3
10 8
1 1 0
0 0 3
1 2 1
1 1 1
0 4 1
2 1 2
2 0 0
3 4 0
2 1 1
3 2 4
10 9
4 5 2
1 0 5
5 0 3
3 5 3
5 1 1
3 5 4
1 3 4
0 5 4
1 3 0
3 0 1
10 8
0 0 3
1 0 2
2 0 2
2 3 3
2 2 0
3 0 3
3 3 1
3 0 1
0 1 3
2 1 0
10 7
2 2 3
0 3 4
0 0 3
1 3 2
1 2 0
0 4 3
2 3 3
4 0 0
3 2 0
1 4 0
10 6
2 0 1
2 1 2
2 1 1
0 2 1
1 2 0
2 2 2
0 0 0
2 0 2
1 0 0
1 1 0
10 2
2 2 2
0 1 0
0 1 2
0 2 2
2 0 1
0 0 2
1 2 0
1 0 0
2 0 2
0 2 1
10 5
1 2 1
2 0 1
1 1 0
2 1 1
2 0 0
2 2 2
0 2 2
1 2 2
0 1 2
0 1 1
10 8
5 4 3
4 5 2
1 0 0
0 2 5
3 5 0
2 5 0
4 2 1
4 5 5
1 4 0
2 3 2
10 3
3 0 3
1 3 3
0 1 3
0 3 3
3 3 3
0 2 2
2 2 2
2 1 0
1 0 1
3 2 2
10 6
2 1 2
1 1 0
1 2 2
0 2 2
2 2 1
2 0 2
2 1 1
0 0 1
0 2 0
0 1 1
10 9
1 2 0
0 2 0
2 0 0
1 1 2
1 0 2
0 1 2
0 1 1
2 2 1
0 2 2
0 0 2
10 7
2 3 3
4 2 1
4 0 0
0 3 5
5 3 5
1 5 1
5 3 1
3 2 1
3 0 0
2 4 3
10 3
0 4 3
4 0 4
0 3 0
2 0 0
2 3 0
4 2 3
0 3 4
3 3 0
3 3 3
2 1 1
10 8
4 4 1
1 3 0
0 1 4
5 2 5
0 0 2
3 0 5
1 0 1
1 1 2
3 3 2
0 4 1
10 8
0 0 1
3 2 2
0 0 2
0 2 1
3 0 2
1 2 2
0 1 3
1 1 3
2 1 3
3 2 3
10 9
3 2 2
0 0 0
2 0 2
2 1 0
2 2 1
1 3 3
1 3 1
3 2 1
1 0 2
0 1 0
10 5
1 5 4
3 1 0
4 1 0
2 2 4
2 1 3
4 3 4
0 1 0
2 5 2
1 1 2
2 2 3
10 6
0 5 1
4 4 1
5 4 5
5 4 0
1 0 5
3 5 5
1 4 0
1 2 3
0 0 1
5 5 0
10 9
3 2 0
1 1 1
2 1 0
0 3 2
2 1 1
1 0 2
1 0 3
0 1 1
1 1 2
0 0 1
10 8
3 0 4
3 4 0
4 3 4
4 4 3
0 2 0
1 0 3
2 3 4
4 0 2
0 4 4
0 3 0
10 7
0 2 1
1 1 0
2 2 2
2 1 1
0 1 0
0 0 2
2 2 1
1 2 2
1 2 0
0 2 0
10 3
2 0 3
1 0 0
1 2 0
3 1 0
2 2 0
2 1 1
2 1 3
0 0 2
0 2 2
0 1 2
10 7
1 2 1
1 1 1
2 1 1
2 1 0
2 1 2
0 0 2
0 1 2
1 0 2
1 2 0
1 1 2
10 6
1 0 0
1 2 3
2 2 0
3 1 0
3 0 2
1 3 2
0 0 2
3 1 1
1 2 2
2 2 1
10 8
0 0 3
2 2 2
2 2 1
3 0 1
1 0 3
2 1 2
2 3 3
1 3 0
1 3 3
3 2 2
10 5
2 3 2
3 1 0
2 0 2
0 0 1
2 3 0
0 2 1
1 1 0
3 2 3
2 0 0
3 1 2
10 7
4 2 2
4 1 3
3 2 1
0 0 2
4 2 1
4 4 1
2 4 2
2 1 0
2 3 2
1 1 2
10 6
2 1 3
2 0 2
0 0 1
2 2 0
3 1 2
1 3 3
3 0 1
2 1 0
0 3 2
0 0 2
10 9
2 1 3
4 3 4
1 3 4
2 0 0
3 2 0
1 2 0
0 4 4
1 2 4
3 4 1
3 0 2
10 2
2 0 0
0 1 2
0 2 1
1 2 0
0 1 1
1 0 1
0 2 2
1 2 1
0 1 0
1 2 2
10 3
0 2 1
3 1 3
0 2 2
2 2 0
1 3 3
0 0 0
2 1 3
1 3 2
1 0 1
2 0 0
10 4
2 2 0
0 2 3
0 3 3
0 3 1
2 0 0
3 3 0
2 3 2
0 1 1
3 3 3
0 2 0
10 6
0 2 0
0 3 1
2 1 3
0 2 4
4 1 2
4 1 1
4 0 2
3 3 3
0 0 3
1 4 3
10 9
2 2 0
2 1 2
0 0 1
0 2 2
1 1 2
1 0 0
2 2 1
2 1 1
0 0 0
2 0 1
10 9
1 0 1
0 1 1
3 3 1
2 1 2
0 1 3
3 0 2
2 3 1
3 1 3
2 3 3
0 3 1
10 3
1 2 1
0 1 2
2 1 0
0 0 2
1 2 0
0 1 1
2 2 0
2 0 1
2 1 1
1 1 1
10 4
0 1 0
0 1 2
2 0 1
2 1 2
1 2 2
2 2 0
0 0 0
0 2 0
2 1 1
1 0 1
10 6
1 2 3
2 1 0
3 0 3
1 2 2
0 1 0
0 1 1
2 1 3
1 0 0
1 3 0
0 2 0
10 8
0 3 3
4 1 4
2 0 3
5 0 3
0 4 3
2 1 5
3 0 0
3 5 1
1 4 0
3 4 4
10 6
0 1 0
5 0 1
1 5 1
4 1 0
4 3 4
0 0 1
3 5 2
3 4 4
2 4 1
1 4 3
10 6
1 2 2
4 2 3
4 3 2
3 3 2
3 0 1
4 0 1
4 0 0
4 1 3
3 3 0
0 0 2
10 3
1 1 2
2 0 0
0 0 0
0 2 2
2 1 2
1 2 0
1 0 1
0 1 1
1 2 1
0 0 2
10 5
5 1 4
3 1 1
4 5 4
1 2 0
3 2 5
3 0 5
4 4 1
5 4 3
3 3 5
5 2 4
10 7
2 3 3
2 1 0
3 2 0
0 0 1
3 3 2
3 1 2
0 2 2
0 1 2
0 3 1
1 2 1
10 8
2 1 1
0 1 0
2 0 1
1 2 1
1 2 2
2 1 0
0 2 1
0 2 0
0 2 2
2 0 2
10 4
0 3 1
4 1 0
3 0 4
4 3 0
3 4 3
2 0 0
3 1 3
1 4 2
0 0 4
4 3 4
10 7
1 1 1
1 1 0
0 2 1
1 0 0
1 2 2
0 1 0
0 1 2
0 0 0
2 1 2
2 1 0
10 5
4 4 3
3 3 0
0 2 3
4 1 3
1 2 4
3 0 4
0 2 1
4 3 1
0 1 4
3 0 0
10 3
2 4 5
2 2 2
2 4 3
0 3 0
0 4 0
2 0 4
4 3 1
5 4 2
1 5 1
5 2 1
10 6
1 2 2
2 2 4
3 1 1
3 1 4
0 3 4
3 1 2
4 2 0
0 0 3
3 4 1
4 4 2
10 9
4 4 3
4 2 4
3 1 2
3 2 4
4 3 2
3 4 0
2 1 2
3 3 1
0 1 0
1 2 0
10 3
2 0 2
1 0 0
3 4 2
3 1 2
0 4 2
1 1 0
2 2 0
0 4 1
4 4 4
3 1 4
10 7
1 3 4
2 5 4
0 0 2
1 1 5
2 4 0
3 4 4
3 1 2
2 3 4
1 3 3
2 3 2
10 7
0 2 0
1 3 3
3 3 1
3 1 4
1 0 2
4 3 0
4 3 4
1 2 0
2 4 3
4 0 0
10 2
2 1 1
0 2 2
0 2 0
1 1 2
2 0 2
2 0 1
2 2 0
2 0 0
1 0 1
1 2 2
10 9
3 3 3
2 1 1
1 2 3
1 1 0
1 3 1
2 0 3
1 2 0
1 3 2
1 1 1
2 2 1
10 4
3 0 4
3 1 0
3 0 0
4 5 4
1 2 2
2 4 4
0 5 5
1 1 2
3 5 1
3 4 4
10 6
2 4 4
4 1 0
4 0 4
2 1 3
4 3 0
4 3 2
0 4 4
1 3 1
1 0 0
4 4 0
10 9
3 1 2
2 1 3
2 2 0
0 0 2
1 3 1
0 3 1
0 0 0
3 2 0
2 3 2
2 0 2
10 4
2 0 1
2 0 2
0 1 2
2 2 0
1 0 1
1 1 2
1 2 0
0 1 0
1 2 2
0 2 0
10 4
2 0 0
1 2 1
2 0 1
2 1 1
2 2 1
1 0 2
1 1 1
1 2 0
2 1 2
1 2 2
10 4
1 2 3
2 5 0
0 4 1
5 1 5
5 1 4
3 1 4
0 2 2
1 1 3
3 1 2
2 5 1
10 8
3 3 0
2 2 3
2 5 1
1 1 0
2 1 5
2 2 5
0 3 2
2 4 0
5 0 4
5 0 0
10 9
5 5 2
5 1 1
3 3 1
3 5 1
4 5 4
0 4 4
5 3 1
4 2 3
2 1 0
3 2 5
10 8
4 3 2
0 5 5
3 3 3
0 2 3
1 5 5
3 1 0
5 3 1
5 5 2
4 4 2
0 3 1
10 6
1 0 0
2 3 3
1 0 2
3 2 1
2 1 3
3 3 2
1 1 0
2 0 0
1 1 3
0 2 1
10 5
1 5 4
5 0 0
5 4 3
3 1 2
3 5 5
4 5 2
4 2 1
5 5 1
4 1 3
5 4 5
10 2
2 2 3
4 4 3
4 0 3
4 3 1
3 1 2
3 0 0
2 3 1
0 0 0
0 1 1
3 0 1
10 8
4 3 4
5 1 2
1 0 4
0 2 5
5 5 2
4 1 5
1 5 1
5 2 3
5 5 5
0 1 0
10 8
0 0 0
0 0 1
2 2 1
0 2 2
1 2 0
0 1 0
0 2 0
2 1 1
2 1 2
2 2 0
10 3
2 2 1
0 0 0
1 0 0
2 0 1
0 0 1
2 1 1
0 1 2
1 2 1
0 2 1
2 0 2
10 6
2 0 2
1 2 2
2 2 0
2 2 2
1 0 0
0 1 1
1 1 2
0 1 0
0 2 1
0 2 2
10 5
3 0 2
0 1 3
0 0 2
3 3 1
2 2 0
0 0 0
1 3 0
2 3 2
1 2 2
2 1 1
10 6
2 2 0
0 2 0
2 3 3
0 3 2
0 2 1
2 3 1
2 1 1
1 3 0
3 2 0
0 1 1
10 6
0 1 4
2 4 4
4 4 0
2 4 1
1 3 2
4 2 3
3 4 4
2 1 1
0 0 0
3 3 0
10 9
0 1 3
3 1 3
2 3 0
0 3 2
1 1 3
0 0 1
0 2 1
1 0 2
1 2 1
0 3 0
10 3
0 0 0
3 3 1
3 2 2
2 0 1
2 3 0
1 2 3
2 3 2
2 3 3
0 1 2
3 1 0
10 5
1 1 5
2 2 2
3 5 2
1 4 2
3 3 3
0 0 4
3 0 5
2 5 1
1 5 2
4 3 1
10 3
1 3 1
2 3 2
1 2 3
2 0 3
0 2 2
3 1 1
3 0 3
2 3 1
1 3 3
0 2 3
10 9
0 0 0
1 2 1
2 0 0
0 2 1
0 0 2
0 0 1
1 2 0
2 2 2
2 0 2
0 2 0
10 9
2 1 2
0 2 1
1 1 2
1 1 0
0 0 2
2 1 0
0 1 2
2 2 0
0 1 0
0 0 0
10 5
0 1 1
4 2 3
0 1 4
0 2 3
2 3 1
3 0 2
0 2 0
3 2 0
1 1 0
4 0 4
10 7
2 3 1
3 0 3
2 0 3
4 2 0
4 4 1
3 0 4
1 3 2
1 4 0
0 0 4
0 0 3
10 9
0 0 1
2 1 0
1 0 1
0 1 0
2 2 0
2 0 2
1 0 0
2 2 1
2 0 0
0 0 0
10 5
4 4 0
3 2 3
5 0 5
0 1 0
0 0 0
5 3 3
4 0 2
0 3 1
5 1 2
0 3 5
10 2
3 1 2
0 3 1
0 0 1
0 1 2
2 0 3
2 0 1
3 0 0
1 0 2
3 1 1
3 1 3
10 5
3 0 1
4 0 3
1 2 2
1 0 2
4 0 0
0 2 1
4 1 1
3 2 4
1 0 3
4 4 3
10 3
0 0 0
1 2 3
1 1 3
1 0 0
1 3 2
2 0 2
3 1 1
2 2 1
0 1 0
0 1 2
10 9
2 3 3
0 1 1
2 3 2
2 1 3
0 3 3
0 1 0
3 3 3
2 2 0
0 0 0
3 2 2
10 2
2 3 0
2 2 0
1 2 1
0 1 2
1 0 2
1 3 3
3 1 0
1 2 2
3 1 1
3 2 2
10 6
2 1 3
1 3 4
3 1 0
4 4 2
1 1 3
1 0 4
1 0 2
3 1 4
4 1 2
0 1 0
10 7
2 0 3
2 3 0
3 0 3
4 0 1
0 1 1
4 4 4
2 2 0
0 3 0
4 1 0
0 4 0
10 2
0 1 0
2 0 1
0 0 1
1 2 2
0 1 2
2 2 0
1 0 1
1 1 2
0 0 2
0 2 1
10 4
2 0 2
0 2 0
3 3 3
0 0 3
2 3 0
0 3 2
0 1 3
3 2 3
2 3 3
0 1 0
10 2
0 1 0
0 2 0
1 1 0
2 2 0
1 1 2
0 1 1
2 0 0
1 1 1
1 2 1
2 1 2
10 5
1 0 3
2 1 2
4 0 0
4 3 1
3 4 4
3 1 3
3 4 1
1 2 3
4 4 0
2 1 0
10 3
1 0 3
0 2 1
2 1 1
2 1 0
3 0 3
2 3 1
1 2 0
2 3 3
2 2 3
3 3 3
10 2
0 0 5
3 2 0
0 0 4
5 1 4
0 3 3
0 1 5
1 0 1
4 5 4
0 4 4
1 3 2
10 6
1 2 1
1 1 0
0 1 2
2 0 0
0 0 0
0 0 1
1 2 2
0 0 2
1 1 1
0 2 2
10 2
2 3 0
3 0 2
3 1 1
0 2 1
0 0 2
1 2 2
1 1 1
2 1 2
1 3 1
1 3 3
10 4
3 4 2
3 4 4
2 2 3
1 1 3
3 4 1
0 4 4
0 2 2
4 1 3
1 1 1
4 4 1
10 6
1 0 4
1 0 0
3 3 2
0 3 2
2 3 4
3 3 0
3 3 4
0 0 1
0 0 0
0 4 1
10 2
0 2 2
3 2 1
4 1 3
4 1 4
4 3 3
1 1 4
2 3 2
1 2 4
2 1 2
4 2 1
10 7
2 0 0
1 2 2
2 2 1
2 1 2
0 1 1
0 2 2
1 0 1
0 1 0
1 1 1
0 0 2
10 6
2 0 0
2 4 0
3 0 3
4 4 2
4 1 2
3 1 3
4 1 3
3 0 4
3 2 2
1 3 1
10 8
3 3 1
1 3 3
3 3 0
1 1 1
1 2 3
0 1 1
3 2 0
2 0 3
0 0 3
0 3 2
10 7
1 3 3
2 1 1
1 3 2
3 3 3
0 0 2
2 3 1
3 1 3
2 3 2
3 2 2
0 3 1
10 2
2 2 4
2 4 0
2 0 0
4 0 3
0 3 3
3 0 2
4 4 1
3 1 3
3 2 4
4 2 2
10 8
2 0 0
0 2 2
2 1 3
1 0 3
3 3 0
1 0 1
3 3 3
0 3 1
0 2 3
1 2 0
10 2
3 2 1
3 4 0
4 4 4
1 3 3
0 0 3
3 3 3
2 1 2
1 0 4
3 4 2
2 1 0
10 8
1 5 3
2 2 3
1 2 2
3 2 0
0 2 4
0 5 3
1 5 5
1 1 2
4 2 2
0 1 3
10 8
1 0 5
0 0 5
0 4 1
3 0 3
3 5 1
0 1 5
5 5 0
3 1 5
2 1 1
1 2 0
10 4
0 2 2
1 1 2
3 1 1
2 0 1
1 1 1
1 1 3
2 3 0
0 2 0
0 0 1
2 1 1
10 9
1 1 5
3 4 0
5 1 2
4 4 0
4 2 0
3 1 2
2 5 3
3 3 4
5 0 2
4 5 4
10 8
2 0 1
2 2 0
3 3 0
1 1 1
2 0 3
0 1 3
0 2 2
3 1 0
1 3 1
3 0 0
10 8
2 3 3
0 0 0
0 2 2
1 0 2
0 3 1
1 3 3
1 0 3
2 3 0
2 2 1
0 2 1
10 5
2 2 2
0 1 1
1 0 2
1 1 0
2 2 0
1 2 0
2 2 1
0 0 0
2 0 1
0 1 0
10 3
2 2 1
2 2 2
0 1 2
0 0 0
0 1 0
0 2 0
1 0 2
1 2 1
2 0 2
1 0 0
10 5
3 1 3
2 3 0
2 0 4
4 2 4
4 2 1
2 2 4
2 1 3
2 2 3
0 4 3
0 4 2
10 7
3 0 3
1 0 3
3 3 1
3 2 2
0 2 1
1 0 1
2 0 2
1 0 2
1 0 0
1 3 0
10 5
2 2 2
1 2 2
0 0 1
1 1 2
1 0 0
2 2 0
2 2 1
0 2 0
1 1 0
1 2 1
10 5
2 4 2
1 4 0
2 0 0
5 5 2
2 0 4
1 0 3
5 5 5
1 1 3
5 3 2
4 0 2
10 6
1 3 1
0 0 0
3 2 3
2 0 3
2 2 1
0 3 1
1 0 2
3 1 3
3 1 0
2 0 0
10 2
2 3 0
1 2 2
0 0 2
1 0 2
0 3 2
0 0 0
2 1 1
0 1 2
1 1 2
1 3 3
10 5
0 2 0
2 2 0
2 0 1
0 2 1
1 1 1
0 1 1
2 0 2
2 1 1
0 0 0
1 0 0
10 9
5 3 3
0 4 2
3 5 1
4 2 0
3 4 4
0 5 2
1 5 3
1 4 5
4 1 3
0 3 4
10 8
3 1 1
2 1 3
0 2 2
3 3 0
1 2 3
0 0 3
1 0 3
0 2 3
2 3 3
0 3 2
10 6
1 0 2
2 0 1
2 1 3
2 3 2
1 3 2
2 0 2
1 3 1
3 1 2
2 3 3
3 1 3
10 7
0 0 2
0 1 2
3 3 1
3 1 1
1 3 3
2 3 1
3 1 3
2 1 3
0 1 0
3 0 3
10 2
3 0 3
2 2 3
1 0 4
3 3 3
0 1 3
2 4 3
1 0 3
4 2 0
1 2 0
0 4 3
10 9
3 3 3
3 0 1
0 2 3
2 2 1
2 3 2
3 1 3
0 0 0
1 3 3
1 3 0
0 1 0
10 9
2 0 0
0 1 2
0 2 2
0 2 1
2 2 2
0 0 0
1 0 0
1 0 2
1 0 1
2 1 0
10 9
3 0 1
3 1 2
2 2 0
2 1 3
1 0 1
1 1 3
3 0 0
2 2 3
2 2 1
1 3 2
10 4
4 2 2
3 3 1
1 0 1
1 0 4
0 2 0
2 1 3
4 1 3
2 4 0
0 0 1
4 1 2
10 3
1 2 1
1 4 3
1 0 4
3 2 2
0 3 2
4 4 0
4 1 0
2 2 0
4 3 1
3 3 2
10 5
4 2 2
2 3 1
2 5 4
5 4 0
3 3 5
1 2 3
0 0 4
2 1 3
5 5 2
2 5 2
10 3
3 3 4
1 4 4
3 0 2
1 3 2
3 3 2
1 3 3
3 2 2
0 4 2
1 4 1
2 2 0
10 3
1 2 0
0 1 0
2 0 1
1 1 0
1 1 2
1 1 1
2 2 2
2 1 2
1 2 2
0 2 0
10 4
1 1 2
3 3 1
1 1 1
1 1 0
1 2 0
3 0 2
3 3 3
2 2 1
0 3 2
3 1 3
10 2
2 0 1
2 0 0
0 2 1
1 0 0
0 1 1
0 0 2
2 2 0
1 2 0
1 0 1
2 2 2
10 5
2 2 0
1 0 2
1 3 0
3 2 0
0 2 2
2 3 3
3 3 2
3 3 1
2 2 1
3 1 3
10 9
2 0 1
1 2 2
1 2 0
2 0 0
0 2 0
0 2 2
0 0 2
1 0 1
2 2 0
1 1 1
10 5
0 1 5
1 3 4
2 5 5
5 2 3
2 2 2
0 1 1
0 5 4
3 2 5
4 5 0
1 2 1
10 9
2 2 0
1 4 4
0 2 0
2 0 4
3 3 1
1 1 1
1 4 3
2 0 0
0 4 3
3 4 2
10 2
2 0 0
0 2 0
0 1 1
1 1 0
2 0 3
2 3 1
1 2 1
0 3 1
2 3 2
0 0 2
10 9
4 1 1
0 4 0
4 4 4
2 4 3
1 0 0
3 3 1
1 4 1
3 0 0
0 4 1
4 3 0
10 5
1 2 0
1 0 1
3 3 0
2 2 1
1 0 2
1 2 2
0 1 3
3 2 2
0 0 2
1 1 2
10 8
4 2 0
2 4 3
1 3 0
1 0 4
4 2 4
0 1 0
3 2 3
1 4 1
2 0 4
3 2 0
10 2
5 0 3
2 4 3
0 1 0
1 2 4
0 5 5
1 0 5
4 3 4
3 2 3
1 2 2
3 1 5
10 9
0 1 2
1 1 2
2 1 1
1 2 1
2 1 0
2 2 2
0 1 1
1 0 1
2 2 0
0 2 0
10 9
2 1 1
1 2 3
3 1 3
0 3 1
0 3 3
3 3 3
2 1 0
1 0 3
1 1 3
3 2 0
10 8
3 1 2
0 2 1
0 0 0
4 3 4
2 3 3
0 1 3
4 0 1
1 0 4
4 1 3
1 0 1
10 9
4 3 5
4 4 0
4 0 4
1 4 1
3 0 0
2 3 2
2 5 1
4 5 2
5 5 3
4 1 2
10 6
1 0 0
4 3 3
2 3 2
3 5 3
5 4 1
1 1 2
2 4 2
1 5 5
4 2 1
1 3 3
10 4
5 1 3
3 5 4
0 1 3
0 4 5
0 2 4
4 3 2
5 0 3
2 3 1
5 2 1
5 2 5
10 7
2 2 2
1 1 1
2 0 2
3 0 2
3 3 2
1 3 3
0 3 1
2 3 1
2 0 3
1 0 3
10 8
0 2 2
1 1 0
1 1 2
0 0 1
0 2 1
1 1 1
1 2 0
2 1 0
0 1 0
1 2 1
10 8
0 1 2
3 0 2
3 3 3
1 2 3
2 0 1
2 3 2
3 1 0
0 1 1
0 0 3
0 0 0
10 8
2 4 3
3 1 3
4 2 3
2 4 1
1 1 1
2 1 2
3 4 3
2 3 3
4 0 1
4 3 1
10 8
0 1 1
2 5 4
1 0 4
0 1 4
5 0 3
1 0 0
2 2 3
5 2 3
1 2 5
3 2 3
10 7
0 3 3
2 0 0
0 3 2
1 0 0
3 1 1
2 1 1
3 2 0
3 0 0
3 2 3
1 2 0
10 9
4 1 0
0 4 0
4 0 1
3 3 0
1 0 1
4 3 3
0 2 1
4 2 1
0 1 2
4 1 3
10 6
1 2 2
2 1 1
4 3 5
3 1 5
2 3 0
3 3 2
1 0 3
4 0 2
0 1 5
4 3 3
10 5
2 0 0
1 1 1
1 1 2
2 1 0
0 0 1
2 2 0
0 1 1
1 0 0
1 2 0
0 2 1
10 4
1 2 0
1 4 1
1 1 2
1 0 5
0 5 5
0 2 0
2 1 5
5 3 2
3 2 4
0 0 2
10 3
2 1 2
0 3 1
3 0 1
1 0 1
2 3 3
0 0 3
0 3 2
2 1 3
0 0 2
1 1 3
10 9
3 0 2
1 2 2
1 3 3
3 2 1
0 1 2
3 1 2
1 1 0
0 3 0
1 0 3
2 0 3
10 4
3 0 0
3 1 3
2 2 0
2 0 2
0 1 0
3 1 1
2 3 2
2 0 1
0 1 1
0 0 0
10 7
2 4 3
4 2 1
0 0 3
0 0 0
1 4 4
1 1 2
2 1 3
3 1 2
1 0 0
4 1 4
10 3
2 2 0
1 1 1
1 1 2
2 0 1
2 2 1
0 0 2
1 0 2
2 1 0
2 1 1
0 1 1
10 9
3 1 3
0 3 0
0 2 1
3 3 1
0 2 2
1 1 3
0 0 1
1 2 1
1 0 3
1 3 3
10 8
0 0 0
0 1 2
0 0 1
1 0 2
0 2 1
1 2 2
2 0 1
2 2 2
2 1 2
0 2 2
10 9
3 0 5
1 1 1
2 5 3
5 4 5
2 2 2
1 2 4
1 1 3
5 2 1
4 0 5
0 1 2
10 8
3 5 2
3 3 0
2 1 2
1 2 4
3 3 4
2 4 0
3 5 5
5 0 2
4 3 2
4 1 0
10 6
4 2 3
0 1 5
4 0 3
5 3 0
1 3 1
4 2 0
3 3 2
5 4 1
3 3 5
3 5 0
10 7
2 1 1
3 1 3
0 0 0
2 2 1
3 1 1
0 1 3
2 1 2
3 0 3
1 0 0
1 0 2
10 5
2 2 0
0 0 1
1 0 1
0 1 0
0 1 1
0 2 2
0 0 2
1 0 2
2 1 2
1 1 0
10 9
2 3 0
2 2 1
2 3 1
0 1 3
3 3 1
2 2 2
0 3 2
1 1 3
2 0 0
0 0 0
10 5
1 3 3
2 2 3
3 1 3
2 3 2
1 1 2
0 2 2
4 0 0
2 4 0
2 1 4
2 2 4
10 3
2 1 2
1 2 0
2 2 2
0 2 0
1 2 2
0 2 1
2 0 2
0 1 0
1 1 1
0 1 2
10 5
2 3 1
1 1 0
0 2 2
2 2 0
1 2 2
1 0 2
3 1 1
0 0 2
3 2 2
1 1 3
10 3
0 0 2
2 2 2
0 0 0
0 0 1
1 2 2
1 1 0
2 0 0
2 1 1
0 2 0
2 1 0
10 2
2 3 2
1 0 0
3 0 0
1 1 3
0 4 5
5 3 1
2 1 1
0 1 0
4 5 3
2 0 5
10 2
2 2 2
1 1 0
2 0 2
2 2 1
0 0 0
1 0 1
0 2 2
2 1 1
1 1 2
1 1 1
10 9
0 3 3
1 2 1
3 0 2
2 3 0
2 3 2
3 3 0
1 2 3
2 3 1
1 0 3
1 0 2
10 9
1 2 0
2 3 3
0 3 0
1 1 1
1 3 3
3 0 3
1 2 3
2 1 3
0 0 0
0 2 0
10 9
2 0 2
2 1 0
1 0 1
2 0 1
0 0 2
0 2 0
2 2 1
1 0 0
0 1 2
2 2 2
10 8
1 0 2
0 2 1
1 0 0
1 1 2
2 1 1
2 1 0
2 0 1
0 0 2
1 2 1
2 0 2
10 3
2 1 1
0 0 2
1 0 2
0 0 0
0 1 0
2 0 1
2 0 0
1 0 1
0 2 0
1 2 1
10 6
0 0 0
2 3 3
4 2 2
1 0 2
3 3 1
3 3 2
1 0 0
4 0 4
2 1 4
3 0 4
10 5
0 1 2
1 2 0
1 0 1
2 1 1
1 0 0
0 2 0
2 1 0
2 2 2
2 2 0
1 1 0
10 8
2 0 0
2 1 2
2 2 2
1 1 0
1 0 2
1 2 0
0 1 2
2 0 2
2 2 1
0 0 2
10 9
2 0 0
2 0 3
2 1 2
4 4 2
1 3 2
4 4 1
0 4 4
1 3 1
2 1 4
3 4 1
10 8
1 2 4
2 3 1
5 4 2
5 0 4
1 5 2
0 1 0
3 3 5
1 0 0
4 0 4
0 2 3
10 4
1 1 0
0 1 2
1 2 1
2 2 1
1 0 2
2 2 0
0 0 1
1 2 0
2 1 0
0 0 0
10 6
0 1 0
4 4 0
0 4 1
0 4 3
1 0 2
2 1 0
3 4 0
3 1 4
1 3 4
4 2 1
10 3
5 1 4
4 3 3
0 1 3
1 4 5
3 4 0
5 0 0
1 1 4
0 2 1
2 0 5
1 5 4
10 4
2 0 2
2 0 1
1 0 1
0 1 2
2 1 1
0 0 0
2 2 0
0 0 1
1 1 2
2 2 2
10 2
2 2 1
1 0 3
1 0 1
3 0 3
3 1 0
0 3 1
1 1 1
1 2 3
0 3 0
1 3 3
10 6
3 0 4
0 4 1
1 0 4
3 4 2
3 2 4
1 0 2
4 0 2
1 0 3
2 4 0
3 2 2
10 7
1 0 1
3 3 3
4 3 2
3 4 3
3 4 2
1 1 2
3 0 4
0 3 1
0 2 0
2 1 1
10 2
0 0 2
0 2 2
2 1 1
1 0 2
1 1 1
2 0 1
2 1 2
1 2 1
0 2 0
1 1 0
10 8
3 1 2
3 2 4
1 3 4
0 3 0
1 3 3
1 3 0
2 0 1
2 3 2
2 3 0
0 1 0
10 7
3 0 0
1 3 1
0 0 4
4 1 4
4 2 4
1 0 4
1 2 1
1 1 2
1 2 3
3 1 2
10 7
1 3 1
3 4 4
3 3 2
4 0 2
1 4 3
1 1 2
2 4 0
3 1 2
2 1 1
0 0 0
10 9
1 2 3
1 2 4
1 1 4
4 4 1
3 2 4
0 1 0
3 3 1
4 0 3
0 1 4
4 3 0
10 5
1 2 2
1 0 1
2 0 0
2 0 1
0 2 2
0 1 2
1 0 0
2 0 2
1 1 0
2 2 1
10 4
1 3 2
2 1 0
0 3 0
1 1 3
1 0 3
2 2 3
2 3 2
2 2 2
1 0 1
2 1 1
10 3
2 0 0
1 0 1
1 1 0
0 2 0
1 1 2
0 0 0
0 1 0
0 1 2
1 1 1
0 2 2
10 6
1 4 3
4 0 2
1 4 2
0 4 3
0 3 1
2 2 2
0 4 0
3 1 4
4 4 4
0 1 4
10 9
1 1 0
0 0 2
0 0 1
2 1 0
0 1 2
1 2 2
1 1 2
0 2 0
2 2 0
1 2 1
10 4
4 4 3
5 1 3
0 0 2
0 1 3
2 0 2
4 0 5
2 3 1
3 1 3
5 2 2
1 0 0
10 6
1 1 2
2 0 2
2 0 0
0 2 1
2 2 1
1 0 1
2 2 0
1 0 0
1 2 1
0 2 2
10 9
2 4 1
3 4 1
4 1 0
0 2 4
3 2 3
2 3 1
2 1 4
1 2 4
0 4 0
1 4 4
10 8
0 1 2
2 2 1
3 1 0
3 0 3
3 1 3
0 2 3
3 3 0
1 2 3
0 3 2
1 2 1
10 4
2 2 0
0 0 0
1 1 2
1 0 3
0 1 0
2 1 2
2 1 1
2 3 3
1 1 3
3 1 2
10 8
0 1 0
0 0 2
0 0 0
1 0 2
1 2 0
1 1 1
0 2 0
2 0 0
2 1 1
1 1 2
10 5
2 2 0
2 1 0
2 1 2
0 1 1
0 0 0
1 1 1
1 2 1
2 2 2
1 2 0
1 1 0
10 2
0 1 1
1 2 2
3 4 0
3 1 3
0 5 5
2 3 2
5 1 5
0 0 4
1 2 3
1 1 4
10 4
0 1 2
2 1 0
0 0 1
1 2 1
0 2 2
2 1 1
1 0 0
1 1 2
2 2 0
0 2 1
10 6
3 4 2
1 1 1
3 3 5
5 4 4
3 5 5
1 4 4
1 4 5
5 1 0
1 2 3
0 5 3
10 6
2 3 1
1 3 1
3 1 1
1 3 3
2 3 2
2 0 1
0 0 2
1 1 1
3 2 0
1 1 3
10 5
3 2 2
1 4 1
2 3 3
1 0 1
4 3 1
0 4 4
0 1 1
4 1 3
2 4 3
2 1 2
10 4
1 0 2
2 3 3
2 4 4
5 0 4
3 0 3
4 3 3
2 4 3
0 3 5
4 0 5
4 4 0
10 7
1 1 1
3 2 1
2 0 1
3 0 1
0 2 2
4 2 3
4 4 3
2 1 3
3 2 0
0 2 4
10 9
0 5 2
2 0 0
0 4 4
5 4 3
4 4 0
2 5 3
1 0 2
1 3 1
2 1 3
2 4 1
10 5
1 1 1
2 2 1
0 1 0
1 2 2
0 2 1
0 1 2
2 0 0
1 0 0
1 1 0
2 1 0
10 7
0 1 4
2 2 1
1 3 4
3 1 1
4 1 3
4 0 2
1 3 3
0 2 2
3 0 0
2 3 3
10 9
1 2 2
1 0 1
2 1 0
1 1 2
1 0 2
0 0 1
1 0 0
2 0 1
2 2 0
2 0 2
10 7
1 3 0
0 2 3
4 2 0
4 1 2
1 2 1
2 2 0
0 1 4
3 4 0
1 4 3
1 0 3
10 8
4 5 3
0 5 2
5 3 3
5 4 1
0 1 3
0 1 0
2 2 2
5 3 0
0 1 1
0 4 3
10 9
3 0 3
4 2 3
3 2 0
3 3 5
3 1 2
4 1 0
5 2 5
2 1 3
5 5 5
0 2 3
10 7
2 1 2
2 0 0
0 1 0
2 1 1
0 0 2
2 2 1
1 2 0
0 1 2
0 2 2
1 2 1
10 6
1 1 0
2 2 2
0 2 3
3 2 2
1 1 2
3 0 3
0 0 3
0 1 1
2 1 0
2 0 2
10 9
3 0 1
2 3 2
1 3 2
2 2 2
3 2 0
3 3 3
2 3 0
2 0 0
1 2 1
1 3 1
10 9
4 1 0
3 2 3
1 3 4
4 3 0
0 2 3
0 4 4
3 1 0
3 1 1
2 2 3
4 3 2
10 3
1 0 0
2 2 1
2 0 2
1 0 2
0 0 1
0 2 2
2 1 0
0 1 2
2 2 2
1 1 2
10 7
1 3 2
3 1 0
0 3 2
3 2 1
2 2 0
0 3 3
1 3 0
3 0 3
3 1 3
1 3 3
10 3
0 3 2
2 1 3
3 3 1
1 3 2
0 3 1
2 1 2
1 3 1
3 3 3
3 1 3
1 1 2
10 7
4 2 1
1 2 1
2 2 2
2 1 3
4 1 3
2 4 0
1 1 1
1 2 0
4 2 2
0 4 4
10 9
2 0 1
2 1 2
1 2 0
1 0 0
2 1 1
1 1 0
0 0 1
0 2 1
1 2 1
0 1 0
10 5
4 0 1
2 0 4
2 2 2
0 0 2
0 4 2
4 1 4
2 1 1
2 2 1
3 3 3
1 2 0
10 6
1 0 1
3 3 2
0 1 3
0 3 1
1 0 3
2 2 3
3 1 0
2 2 1
1 3 1
0 1 1
10 2
0 0 1
3 4 0
3 0 3
4 1 2
3 1 0
2 2 2
3 1 4
1 0 2
4 4 0
3 0 4
10 9
3 2 5
2 3 2
4 5 4
0 0 4
1 2 1
2 1 1
0 3 3
4 3 3
4 5 2
5 0 5
10 4
3 2 2
2 2 1
0 2 0
0 1 3
0 0 0
2 1 3
1 1 3
1 2 0
1 2 3
3 1 2
10 3
1 1 3
3 3 3
0 3 0
0 3 3
0 3 1
1 1 1
0 2 0
0 0 0
2 1 2
3 0 0
10 9
4 0 3
5 5 0
1 5 5
4 2 0
1 3 4
2 1 2
3 5 5
0 1 2
3 3 0
2 3 5
10 9
3 3 4
0 1 0
2 3 1
1 4 0
1 0 3
1 4 3
1 0 2
4 2 0
1 2 0
3 4 4
10 3
3 1 0
5 5 2
2 2 4
3 1 5
4 5 3
5 0 3
1 1 1
1 1 2
1 3 2
4 0 4
10 5
2 1 3
2 4 4
2 0 2
4 3 4
1 0 1
0 3 2
1 2 4
1 1 1
4 2 3
1 0 3
10 8
5 1 1
4 4 5
5 2 1
0 3 1
5 1 5
2 5 5
1 3 0
3 1 3
4 0 1
4 1 1
10 3
0 3 5
0 0 5
2 1 0
5 0 3
5 5 0
4 3 0
3 2 3
2 4 3
0 2 2
0 5 1
10 6
3 1 2
0 1 0
0 3 3
2 3 1
2 1 2
0 1 1
3 0 3
1 2 0
3 0 1
2 0 3
10 3
1 1 0
0 1 1
3 0 0
0 3 2
1 3 0
3 1 2
1 2 3
0 2 2
2 3 2
2 1 1
10 3
3 2 3
1 1 3
2 0 1
2 1 3
2 3 2
3 2 1
0 0 1
0 0 0
3 3 0
3 0 1
10 5
0 2 2
2 0 2
0 0 1
0 1 1
1 1 0
1 2 0
2 1 0
0 0 2
2 0 0
0 2 0
10 2
1 0 2
0 2 1
2 2 2
1 0 0
0 2 0
0 1 1
2 1 2
0 0 1
0 1 0
2 1 0
10 3
0 1 2
2 0 2
2 2 2
1 1 1
0 1 0
1 0 2
0 0 1
0 0 0
2 0 1
2 1 0
10 8
0 1 0
2 2 0
2 1 0
0 2 1
1 1 2
1 2 1
2 2 1
1 0 2
2 0 1
0 0 2
10 8
2 0 1
2 0 0
1 1 0
0 1 0
0 1 1
0 0 2
1 0 0
1 2 2
1 0 2
1 0 1
10 6
2 2 0
0 3 0
4 3 0
1 1 0
3 4 2
1 4 2
2 1 4
0 0 2
2 3 3
1 3 2
10 7
0 2 2
2 3 3
4 1 4
3 3 0
2 3 1
1 2 0
4 2 1
3 1 2
1 2 3
4 3 3
10 4
3 5 5
3 5 1
0 3 2
4 0 0
0 3 1
5 3 0
0 3 4
3 2 4
2 2 4
0 4 0
10 9
1 2 2
1 1 0
2 3 0
3 3 1
3 2 2
1 1 3
4 2 3
3 3 3
3 0 3
1 0 1
10 4
1 1 2
0 0 2
1 2 0
2 1 0
2 1 1
1 1 1
0 2 2
0 2 0
1 2 1
2 1 2
10 4
4 3 4
4 4 3
5 3 0
3 2 1
2 1 2
1 1 3
4 1 1
0 1 2
1 2 3
4 5 2
10 4
5 4 4
0 4 2
0 2 1
0 0 1
5 0 1
2 5 1
1 2 3
0 4 1
3 5 0
2 3 2
10 8
2 1 0
1 2 1
0 0 0
0 0 2
2 2 1
2 0 1
1 2 2
1 2 0
2 2 2
0 2 0
10 3
1 1 2
3 1 0
3 1 2
1 2 1
3 3 1
1 2 0
3 3 0
3 1 3
0 0 2
2 0 0
10 5
1 1 1
3 2 3
0 3 1
2 3 0
2 1 0
0 1 1
1 3 0
3 0 2
1 3 1
3 1 3
10 8
3 4 2
4 1 4
3 3 0
1 2 3
4 4 2
1 5 1
1 3 0
5 4 3
0 0 3
1 3 3
10 8
0 0 4
4 5 1
3 4 1
2 5 4
2 1 2
3 3 5
4 1 4
4 2 1
0 1 3
0 5 2
10 5
0 3 2
1 1 0
1 1 1
3 3 3
3 1 2
2 2 1
2 0 1
3 2 2
0 1 0
2 2 0
10 7
2 4 4
2 2 1
3 5 1
4 1 0
2 3 5
1 0 5
2 5 4
2 0 1
4 2 2
2 1 1
10 7
1 1 1
1 0 1
2 0 2
0 1 0
0 1 2
1 1 0
0 0 0
2 2 0
0 2 2
2 0 1
10 2
1 2 3
2 1 1
0 0 0
2 0 3
0 2 3
3 3 3
3 1 1
3 1 2
2 3 3
1 0 1
10 3
2 5 0
3 1 2
1 3 0
3 4 2
3 1 3
1 4 2
5 5 4
4 3 2
5 3 3
5 1 0
10 8
0 4 4
2 2 1
3 0 2
4 5 3
4 1 5
2 1 2
1 2 0
4 0 0
1 5 3
2 2 3
10 5
1 2 0
0 3 1
3 2 1
1 0 2
3 2 0
3 1 0
3 0 0
3 0 3
1 0 3
3 1 2
10 4
4 3 1
1 0 4
1 0 0
5 2 1
0 5 2
0 4 5
4 1 0
4 3 0
1 5 2
3 1 3
10 4
0 3 2
1 1 3
3 3 3
3 2 0
3 1 3
0 2 2
2 0 3
3 1 2
2 1 1
3 0 0
10 9
2 1 2
1 2 3
3 1 3
0 2 1
1 0 2
3 1 2
0 0 1
3 0 1
3 3 2
3 2 2
10 9
1 2 1
1 1 0
0 1 2
0 0 1
0 0 0
1 1 2
2 2 0
2 2 1
1 2 2
2 1 0
10 6
0 2 0
2 0 2
2 2 0
0 1 2
1 2 2
0 0 2
0 0 1
2 1 0
1 2 0
2 1 2
10 6
1 1 0
0 2 0
0 0 2
2 1 0
2 2 1
2 1 2
1 1 2
2 2 2
0 2 2
2 0 0
10 8
3 3 3
3 0 2
0 1 3
0 1 1
0 2 2
3 1 1
3 1 3
0 0 1
2 0 2
1 3 0
10 3
2 2 0
1 0 0
2 1 0
2 0 2
1 2 2
0 0 0
0 1 0
1 1 1
1 0 1
0 2 0
10 2
3 2 3
1 0 1
3 2 2
3 0 1
0 1 0
3 1 0
0 1 3
0 3 1
3 3 3
1 2 2
10 8
1 1 1
2 0 1
2 0 2
1 1 2
0 1 2
1 2 0
1 2 2
1 2 1
2 0 0
2 1 1
10 2
0 0 0
1 1 1
0 4 0
4 1 4
2 1 3
0 4 1
3 2 1
2 0 4
3 1 1
3 3 1
10 2
4 3 0
0 4 1
1 3 1
1 3 3
2 2 3
2 0 0
4 2 1
4 2 3
4 2 4
0 0 4
10 4
1 3 0
2 0 0
1 2 0
3 0 0
3 2 0
3 0 3
2 0 2
2 3 1
0 1 3
3 2 3
10 6
0 0 1
3 0 3
1 1 3
2 1 3
2 2 2
0 0 3
3 2 3
2 3 3
0 0 0
3 3 1
10 3
4 4 3
4 4 4
2 2 4
0 0 0
1 0 3
4 4 0
4 2 1
4 1 1
3 2 2
4 0 2
10 4
1 3 0
1 0 3
4 3 3
2 2 2
0 0 3
1 2 0
1 1 4
0 4 0
4 1 3
1 4 0
10 8
1 2 3
0 0 3
3 1 3
1 1 1
3 0 3
2 2 0
1 2 2
3 1 0
3 2 3
3 1 1
10 7
0 2 1
1 1 2
2 0 1
2 2 0
0 0 2
0 2 0
0 1 0
0 0 1
1 1 1
1 0 2
10 7
3 2 1
1 4 1
2 2 4
3 3 4
1 0 0
1 1 0
4 3 0
0 4 3
3 3 1
3 0 2
10 4
0 1 0
1 1 3
1 1 2
2 2 2
1 3 0
0 0 3
1 2 2
3 3 2
3 1 2
2 0 3
10 3
1 3 3
1 1 0
0 2 2
1 0 1
0 0 3
0 0 1
2 2 0
1 3 1
2 3 3
3 3 1
10 2
0 3 2
2 2 0
0 2 2
1 3 3
3 0 0
0 0 3
2 1 2
3 3 1
0 3 1
3 1 0
10 5
0 4 3
0 4 2
4 4 2
1 4 4
0 1 3
2 1 1
3 2 0
2 3 4
1 1 2
2 1 0
10 2
2 0 2
4 3 5
4 5 3
4 0 0
5 3 3
2 4 4
3 3 1
5 5 3
5 2 4
0 3 4
10 3
2 0 0
2 4 3
0 3 0
2 3 2
1 2 2
2 4 4
0 1 0
4 0 3
2 0 1
0 1 1
10 7
2 3 1
1 2 1
3 3 2
2 0 1
0 2 2
1 3 2
3 1 3
0 0 1
0 0 0
0 3 1
10 9
3 3 1
2 1 0
2 2 2
5 1 3
0 3 4
2 4 4
0 3 0
1 1 5
3 1 4
5 3 4
10 5
2 3 2
2 0 3
3 1 0
0 0 0
2 2 1
1 0 0
1 1 1
1 1 3
1 2 2
1 1 2
10 7
1 1 5
4 0 4
0 2 0
5 3 2
5 2 4
4 4 2
4 1 3
1 0 4
0 5 0
2 1 1
10 4
4 0 5
5 1 5
3 4 3
3 3 1
1 4 0
5 3 3
5 5 1
1 5 5
3 2 4
0 3 1
10 9
2 2 0
3 3 3
2 3 2
3 1 1
3 1 3
1 3 3
1 2 0
1 0 2
3 3 2
1 1 1
10 9
2 0 3
1 0 0
1 1 2
2 2 2
3 3 1
1 3 0
3 0 1
3 2 2
2 3 2
2 3 3
10 5
3 1 1
3 3 1
3 2 3
0 0 0
0 3 0
3 0 0
2 3 2
2 2 1
2 3 0
1 3 0
10 8
2 5 0
4 0 3
0 1 2
0 5 1
5 4 0
2 5 2
1 5 5
5 2 0
5 1 1
1 3 0
10 8
3 1 3
1 4 1
5 3 0
4 4 0
0 4 0
5 3 4
1 1 5
1 1 3
3 5 0
3 2 4
10 3
0 0 2
0 2 2
1 0 1
0 0 0
1 1 0
0 0 1
2 2 1
2 2 2
0 1 2
2 1 1
10 2
0 5 4
2 2 0
1 5 5
3 5 2
4 1 2
2 5 0
4 2 2
2 2 2
3 2 2
5 2 1
10 6
2 3 4
4 0 1
1 0 3
3 2 3
2 1 4
1 2 4
4 1 3
3 3 4
4 2 3
0 4 2
10 4
0 1 3
3 3 4
4 3 0
2 1 1
3 2 1
4 1 1
3 2 0
4 4 3
4 1 0
2 3 0
10 6
0 0 0
2 2 0
2 0 2
2 1 2
0 1 1
0 2 0
0 0 1
0 1 0
1 0 2
2 0 1
10 7
0 0 2
2 0 1
0 2 1
2 2 0
0 0 1
0 1 0
1 0 0
0 1 2
1 0 2
2 1 1
10 5
2 2 1
1 2 1
0 2 2
1 1 0
2 1 0
1 0 2
0 0 2
2 0 2
0 0 1
0 1 0
10 7
4 4 1
3 1 4
1 3 5
4 4 2
5 1 2
3 1 5
2 1 5
3 3 1
1 1 4
4 0 1
10 6
3 1 1
0 2 1
3 0 1
1 0 3
1 2 0
2 3 3
0 1 3
1 2 1
2 3 2
0 3 0
10 4
3 1 4
1 3 3
0 3 3
0 4 3
2 1 3
2 2 4
1 0 3
4 1 3
2 4 2
3 0 5
10 3
2 0 3
0 3 1
1 1 3
0 0 3
0 3 3
2 3 2
1 3 1
3 2 3
2 3 0
1 3 0
10 8
1 2 1
1 1 1
0 3 0
3 3 2
3 2 0
3 2 3
2 1 1
2 0 3
3 3 0
0 2 1
10 3
4 4 0
0 4 1
4 3 4
4 0 4
2 3 2
1 1 0
1 2 2
4 4 3
2 3 4
2 3 3
10 9
0 4 3
3 3 2
3 4 2
5 5 0
5 5 1
0 3 4
0 5 0
2 4 2
1 0 0
2 3 1
10 3
2 1 1
0 0 1
2 2 1
1 0 0
1 0 1
1 1 1
0 0 0
0 1 1
1 2 1
2 0 2
10 9
0 0 4
2 5 3
4 5 1
1 0 5
4 2 3
0 1 2
3 3 2
1 1 2
3 5 3
1 1 5
10 2
4 0 1
2 5 4
2 3 3
5 4 4
5 3 5
0 4 3
4 4 0
3 1 5
0 4 1
2 3 1
10 5
1 0 1
2 0 2
0 0 2
2 0 1
0 0 0
2 2 0
1 0 2
0 1 2
2 2 1
1 1 1
10 8
3 1 1
3 1 2
1 0 2
1 4 2
1 5 4
4 2 1
0 2 1
1 3 4
1 0 4
1 4 5
10 3
4 2 3
2 4 1
3 0 3
3 1 0
0 1 0
0 0 0
0 3 0
0 0 2
1 3 2
2 2 1
10 4
5 0 1
1 0 4
2 5 4
3 5 3
0 4 1
2 2 2
4 1 0
0 3 1
5 5 5
5 2 2
10 2
2 2 2
3 2 3
4 2 2
1 1 1
2 0 4
0 3 2
0 4 2
2 3 0
0 1 1
3 3 0
10 9
1 1 2
2 0 0
2 1 0
2 1 2
0 2 0
1 1 1
2 0 2
0 2 1
1 0 1
0 1 2
10 4
4 5 2
5 1 4
0 1 5
0 5 4
2 4 5
2 3 0
2 3 3
0 2 1
4 0 4
3 5 0
10 2
2 2 4
3 3 1
3 0 2
4 4 1
5 4 0
4 4 4
4 0 1
1 1 5
2 2 3
5 5 0
10 6
3 1 2
0 1 3
0 0 0
2 3 1
0 3 3
1 2 1
0 3 2
2 0 2
0 3 0
0 2 1
10 2
1 0 4
1 4 3
0 0 0
2 4 3
2 3 2
2 1 4
2 2 4
0 1 3
0 0 2
4 2 4
10 8
0 1 1
3 0 4
4 2 5
5 0 0
5 4 2
0 5 0
2 4 1
1 5 4
1 3 5
5 2 2
10 9
2 2 2
1 1 2
2 3 3
3 3 3
3 3 1
0 1 2
3 1 0
1 3 2
2 3 2
1 1 0
10 7
3 2 0
1 2 3
2 3 3
0 2 0
1 0 3
1 1 3
3 1 0
3 2 1
2 2 0
0 2 3
10 7
1 1 0
1 4 1
4 0 4
3 5 2
2 4 2
5 2 3
5 5 0
4 4 0
4 5 5
3 4 3
10 8
2 3 0
4 3 4
0 1 4
4 2 0
5 2 1
1 4 5
2 0 3
3 0 2
1 5 1
4 3 0
10 4
2 4 4
5 4 3
4 5 1
4 1 1
0 1 5
4 3 0
5 1 4
4 0 3
0 4 5
3 0 0
10 4
2 3 2
5 2 0
0 1 4
2 2 3
1 4 2
1 2 0
3 0 5
5 2 4
0 3 0
3 0 3
10 7
2 4 3
1 2 5
1 2 0
3 1 2
5 1 0
2 2 4
3 3 0
2 4 1
4 4 2
5 0 4
10 4
0 1 0
3 4 0
2 1 4
2 1 2
3 4 3
1 4 1
4 1 1
4 1 4
1 3 4
1 3 3
10 7
4 3 0
1 3 2
1 0 2
5 0 2
3 2 1
3 1 1
4 2 4
4 1 5
2 5 0
5 2 4
10 4
3 5 3
1 4 2
5 0 4
0 3 4
1 3 2
5 1 1
2 2 4
1 2 5
1 0 5
4 1 5
10 3
0 4 3
2 3 5
0 1 1
4 3 2
3 4 4
5 2 0
5 5 4
4 2 2
1 3 3
3 2 0
10 5
5 1 5
0 2 3
2 4 2
3 5 5
2 3 5
4 5 3
1 3 3
0 0 3
1 3 2
1 1 1
10 5
2 0 2
1 2 2
0 2 2
2 1 0
0 2 0
0 0 1
0 1 0
2 1 1
1 0 0
2 0 1
10 7
2 3 2
1 1 1
0 2 3
2 3 0
0 3 1
1 2 2
3 3 2
0 3 3
3 1 2
3 3 1
10 4
0 3 2
2 2 1
0 3 0
1 3 1
1 2 1
3 3 1
1 3 3
2 1 2
1 0 1
2 3 2
10 5
3 0 3
3 1 0
0 1 0
0 2 1
1 3 3
0 1 3
0 0 0
1 3 1
0 3 3
2 2 3
10 8
4 3 1
2 2 0
1 0 0
3 3 3
1 0 1
2 0 0
0 4 2
3 4 4
1 3 2
4 0 1
10 6
1 2 1
2 0 0
2 2 2
0 2 1
0 1 0
1 0 0
2 1 0
1 2 2
0 1 1
0 2 0
10 8
1 1 1
1 5 2
3 0 4
2 0 5
5 2 5
4 4 4
0 0 4
0 5 3
1 1 0
2 1 0
10 8
3 3 0
3 3 1
1 0 1
1 3 1
0 1 2
0 0 3
1 3 3
0 3 2
3 1 3
2 1 1
10 6
0 1 0
2 2 0
0 0 2
3 2 3
3 3 3
3 2 2
2 3 3
3 0 3
2 2 2
3 1 1
10 9
0 2 2
1 0 1
2 1 0
1 2 0
2 2 0
0 1 0
0 1 1
2 2 1
1 2 2
1 0 0
10 2
5 0 2
1 1 5
2 0 5
0 5 4
5 3 3
1 1 2
0 2 2
4 1 3
4 5 4
5 0 5
10 2
0 1 4
1 4 2
0 2 0
4 1 3
1 3 1
4 0 0
4 2 3
3 2 1
3 3 3
4 1 0
10 5
2 1 1
2 4 0
0 0 2
3 4 3
1 1 3
1 3 4
4 2 3
4 0 0
4 4 0
3 4 2
10 9
1 2 0
3 2 4
4 1 0
3 4 4
5 4 2
3 2 1
1 2 4
5 0 3
0 3 3
3 5 2
10 4
0 2 0
2 3 0
2 2 0
1 2 2
1 1 0
2 0 2
3 1 2
3 3 0
3 0 3
0 1 2
10 3
2 3 2
1 3 2
1 2 2
3 2 0
3 3 2
1 1 3
2 3 1
3 1 2
3 3 0
3 2 2
10 5
2 3 4
0 4 2
1 0 1
2 4 0
1 4 1
4 0 3
3 1 4
3 0 0
2 4 1
4 1 3
10 8
0 0 3
0 3 1
2 3 2
0 1 1
2 0 0
1 2 1
1 0 1
3 3 2
0 3 0
3 3 3
10 8
2 1 0
1 2 2
0 2 0
2 2 3
3 2 3
3 2 2
1 2 3
0 2 3
0 2 1
0 2 2
10 4
2 2 0
2 1 0
3 0 2
0 2 1
0 1 3
1 1 2
3 2 0
1 0 0
1 2 1
1 3 0
10 7
2 0 1
4 1 5
3 4 2
1 1 2
0 5 4
4 2 3
0 2 1
2 4 1
2 4 4
5 5 5
10 9
0 2 0
2 0 0
2 3 0
3 2 2
1 0 3
2 0 3
2 2 0
0 3 1
1 0 1
3 2 0
10 8
4 1 4
2 2 2
0 3 1
1 0 4
2 1 1
2 2 3
0 4 0
2 4 1
0 0 2
4 2 4
10 9
2 1 1
0 1 2
0 2 1
0 0 2
1 0 0
1 1 0
2 0 0
1 2 0
0 2 0
0 0 1
10 5
0 3 0
2 3 5
5 5 1
0 3 4
2 4 2
0 4 0
2 0 0
4 2 1
2 3 1
0 4 4
10 2
1 5 3
2 4 0
1 4 0
0 4 2
0 0 5
1 0 4
1 3 5
1 2 4
4 5 0
3 0 4
10 9
4 4 1
0 5 2
2 2 2
0 1 3
5 5 2
1 1 5
4 1 4
3 1 3
0 0 2
5 3 4
10 4
1 1 0
2 2 2
1 0 2
2 0 1
0 1 2
0 2 0
2 0 0
2 2 0
1 1 2
0 0 2
10 8
0 2 4
4 2 2
2 0 1
4 2 4
1 2 3
0 1 2
1 4 2
3 1 0
0 3 0
0 2 3
10 8
0 2 0
1 0 2
1 2 4
1 1 3
0 3 4
2 2 2
3 4 4
0 4 2
2 0 4
0 0 0
10 4
0 2 1
1 2 0
1 0 1
2 1 0
2 2 0
2 0 0
2 0 1
1 1 1
1 1 2
0 1 2
10 7
2 3 2
1 3 0
0 2 2
0 1 0
0 0 2
1 3 3
1 0 1
3 3 1
3 1 3
1 0 2
10 2
5 0 3
3 4 0
3 4 4
4 0 4
0 3 3
1 3 2
2 5 2
5 1 0
1 0 5
3 2 5
10 5
1 0 1
1 0 0
2 1 0
2 0 2
1 1 1
0 0 0
1 2 1
1 1 2
2 0 1
2 1 2
10 4
3 3 1
3 1 1
3 0 0
2 2 3
0 1 0
2 1 1
1 2 3
3 3 2
0 2 2
3 2 0
10 8
1 5 1
2 5 5
0 4 4
0 3 4
5 0 5
4 0 0
5 4 5
5 0 0
1 3 0
4 5 5
10 8
0 1 2
2 0 2
0 2 2
0 0 1
2 1 1
1 1 0
1 1 2
2 2 0
0 0 0
1 0 0
10 5
1 2 0
2 1 2
1 1 1
2 0 0
2 2 1
0 2 2
1 0 0
0 0 0
2 2 2
0 2 1
10 9
3 2 2
0 0 1
3 1 0
3 1 3
0 0 3
2 3 3
3 0 3
0 3 0
1 2 0
2 2 3
10 2
2 0 2
2 0 0
4 0 4
1 0 4
0 2 4
4 0 0
1 4 2
4 0 2
1 1 4
1 1 2
10 9
1 3 3
1 3 0
1 0 0
1 2 3
0 1 0
2 2 0
3 0 0
1 0 2
0 0 2
1 0 1
10 3
2 0 2
0 1 2
1 2 2
1 2 1
1 0 2
2 0 1
0 1 1
1 0 0
0 2 1
0 2 0
10 5
4 0 2
0 4 4
0 0 1
4 2 3
0 1 2
2 4 2
1 0 3
2 0 2
3 4 4
2 4 0
10 2
1 0 0
1 1 1
0 0 2
0 1 2
2 1 2
2 1 1
0 1 0
1 1 0
0 0 0
1 2 2
10 5
1 0 2
3 3 0
1 2 0
4 0 5
0 5 1
4 2 1
0 0 3
4 2 4
1 1 0
2 3 3
10 2
2 1 0
2 1 2
1 2 0
2 0 2
2 1 1
0 1 2
2 0 0
0 2 1
1 0 0
1 1 2
10 3
3 1 3
2 2 0
3 0 2
0 0 4
1 0 2
2 1 4
0 4 0
4 1 4
4 3 3
0 3 1
10 8
3 1 2
1 3 2
1 2 3
3 4 0
4 3 2
0 4 4
3 4 1
4 0 2
1 1 2
2 3 2
10 3
4 3 1
2 0 0
4 1 4
0 3 3
1 0 3
2 1 2
3 4 1
0 2 0
4 2 1
4 3 3
10 8
1 3 0
2 0 2
2 3 0
3 0 0
1 0 1
0 3 3
2 0 0
0 3 1
3 2 2
2 1 2
10 6
2 0 3
3 3 1
0 3 2
3 2 2
3 0 2
3 1 1
2 2 0
1 1 0
3 3 3
1 2 3
10 8
4 2 3
3 4 2
4 3 2
0 4 1
2 0 4
1 0 2
4 1 4
4 4 0
2 3 2
2 2 2
10 9
2 2 0
1 4 3
1 4 4
2 1 3
2 3 2
3 1 4
0 1 4
1 2 3
4 1 0
4 3 0
10 3
1 0 3
1 2 0
1 1 1
0 0 4
3 1 4
1 2 2
1 0 1
3 1 1
0 3 0
2 4 4
10 7
4 2 3
1 4 0
4 2 4
1 3 3
2 4 5
3 5 4
5 0 0
2 5 3
1 2 5
5 0 4
10 3
3 5 1
3 4 4
2 3 3
1 1 1
3 1 0
0 5 3
2 4 5
3 3 4
4 5 5
1 4 0
10 3
3 1 3
1 0 2
3 3 2
1 3 0
1 3 2
0 2 3
0 3 2
0 0 2
0 1 2
1 2 0
10 3
3 2 2
0 0 1
1 1 0
1 3 2
2 1 0
0 1 2
3 2 1
0 2 0
1 3 0
3 1 2
10 7
4 3 5
2 0 0
1 4 3
1 0 4
5 4 5
1 4 5
0 1 1
4 2 0
0 1 5
4 2 4
10 7
5 4 0
3 1 0
4 5 3
4 0 5
5 1 4
1 0 5
5 5 1
4 0 3
2 4 1
3 5 4
10 7
5 4 1
2 0 3
2 5 0
0 1 5
5 1 4
4 5 1
4 4 3
2 0 0
5 5 0
4 2 4
10 2
1 1 3
1 2 2
1 2 3
2 1 2
1 2 1
3 1 0
1 3 1
0 2 1
2 3 3
0 1 3
10 6
1 1 3
1 3 1
1 0 2
1 2 2
2 1 1
2 0 1
3 0 2
2 3 1
0 1 2
2 3 2
10 9
0 2 3
2 3 1
0 1 2
2 2 2
0 1 1
2 1 2
3 1 1
2 0 0
1 3 0
3 2 1
10 9
2 2 1
1 3 1
0 1 0
0 2 0
3 1 0
0 1 2
1 2 3
1 0 2
2 0 3
2 2 2
10 2
2 1 0
2 2 3
4 1 0
0 0 4
4 0 1
4 2 0
1 4 1
2 4 0
0 2 1
3 3 4
10 8
0 2 2
1 1 0
2 1 2
2 0 3
2 1 0
0 1 3
3 2 3
1 0 3
3 2 0
2 3 0
10 9
0 2 0
2 2 1
2 1 2
1 2 0
1 2 1
2 2 0
1 2 2
2 0 1
0 1 1
1 0 1
10 4
1 0 1
3 2 1
0 0 3
0 2 0
1 3 2
2 1 3
0 3 1
3 3 2
3 2 2
1 1 1
10 5
3 3 3
0 3 2
1 3 0
3 2 3
0 2 1
0 2 2
0 3 0
0 0 3
0 1 3
2 2 2
10 5
2 5 5
1 1 1
2 3 3
1 4 2
1 3 1
5 4 5
5 1 0
1 0 3
3 3 3
4 3 2
10 2
2 0 2
1 0 1
2 1 1
2 0 1
0 0 1
0 2 0
1 2 0
1 2 1
2 1 0
0 1 0
10 6
3 5 0
0 3 1
3 2 5
3 5 1
2 5 4
1 3 1
5 5 3
5 5 4
0 2 4
4 2 5
10 2
2 0 0
2 1 0
2 2 2
2 1 1
1 0 2
1 0 1
0 1 2
2 2 0
0 2 1
1 0 0
10 9
3 5 4
1 1 0
4 1 5
3 4 4
4 0 2
1 4 0
0 2 2
4 4 4
0 0 1
0 5 3
10 6
1 1 1
1 2 3
1 3 3
0 2 1
3 0 3
0 1 2
2 3 1
2 1 1
0 0 0
2 2 3
10 7
1 0 1
1 1 1
1 0 0
2 1 1
1 1 2
1 2 1
2 2 2
2 2 0
0 0 1
1 0 2
10 4
2 1 1
2 2 1
0 1 1
0 1 0
1 1 0
2 1 0
1 0 2
2 0 1
2 0 0
2 2 0
10 4
2 3 2
4 0 4
0 2 1
1 1 0
1 1 2
4 3 2
4 2 3
3 0 3
3 3 2
4 2 1
10 3
1 3 4
1 0 1
0 2 1
0 4 4
1 1 2
1 0 4
0 4 2
3 0 3
3 1 3
2 4 2
10 6
0 2 3
1 0 3
3 2 0
1 0 2
3 3 3
0 1 1
0 1 2
0 3 0
0 2 1
1 0 1
10 3
2 1 2
3 2 3
2 0 0
2 2 0
5 2 0
5 5 5
2 4 0
2 1 4
3 5 5
0 2 5
10 9
0 2 5
1 2 0
4 0 3
2 5 0
0 2 1
5 5 3
0 4 4
3 2 5
2 1 1
0 3 1
10 2
3 1 1
3 2 2
0 2 3
0 0 3
0 0 2
2 1 3
1 0 2
3 0 2
0 3 0
2 1 0
10 7
3 2 3
4 1 5
3 1 5
2 2 2
4 3 4
4 3 0
0 3 2
2 3 2
4 0 2
2 1 4
10 9
3 3 3
3 3 2
3 0 1
3 3 1
0 2 1
2 3 2
1 1 2
0 1 0
3 3 0
0 2 2
10 9
1 2 2
1 1 2
1 1 0
3 1 0
3 2 2
2 2 3
0 3 2
1 2 0
3 2 1
2 2 1
10 8
3 3 1
3 1 2
2 0 0
3 4 3
2 1 3
3 3 4
1 4 4
1 1 4
1 0 2
2 0 1
10 9
1 2 1
2 0 1
1 1 2
1 2 0
2 2 1
0 0 2
2 2 2
1 0 0
1 1 0
1 0 2
10 9
3 3 1
1 3 0
0 0 1
2 1 0
2 2 3
1 2 0
1 3 1
0 3 2
0 2 0
3 2 1
10 7
1 2 2
1 2 1
2 2 2
1 0 2
1 0 1
0 2 2
2 2 0
2 0 2
1 1 0
2 0 0
10 5
0 2 0
4 1 4
3 0 1
2 4 0
3 5 5
2 0 3
1 4 2
2 5 2
0 1 5
5 0 0
10 4
4 4 4
0 0 5
5 5 5
1 3 2
1 2 5
2 0 1
4 5 5
4 2 5
4 4 3
3 0 0
10 9
5 4 4
4 5 5
3 4 2
1 4 2
3 1 0
1 1 2
1 5 0
4 5 0
2 3 2
2 1 2
10 6
2 1 1
1 1 2
2 0 2
1 0 2
2 2 1
1 2 2
0 1 1
0 0 1
2 1 2
1 2 1
10 3
2 3 2
3 3 1
2 2 0
2 0 1
1 0 1
1 1 1
0 0 1
1 2 0
3 0 1
3 3 2
10 7
1 3 2
3 1 0
4 3 2
0 1 2
3 0 1
1 1 1
2 0 3
1 1 4
4 2 3
0 4 2
10 4
4 0 3
3 3 0
5 4 3
1 0 3
5 2 4
3 1 0
4 3 5
0 1 0
1 0 5
5 4 5
10 8
4 5 1
2 4 1
5 0 2
4 4 0
3 1 0
0 5 2
3 5 1
0 4 1
4 0 5
5 2 1
10 2
2 0 2
2 1 2
0 1 0
0 2 1
1 2 0
1 1 1
0 0 2
0 1 1
2 0 0
1 1 2
10 8
0 4 2
4 3 1
1 3 5
5 4 1
4 0 5
2 1 1
4 1 1
2 2 3
2 3 2
1 0 2
10 5
3 2 1
3 0 2
1 3 4
1 0 4
1 1 4
3 3 0
4 2 2
1 2 2
3 4 3
4 3 2
10 6
2 2 1
1 0 2
0 0 2
1 2 1
0 2 0
1 1 1
1 1 0
0 2 2
1 1 2
1 0 1
10 7
0 0 0
4 3 3
3 2 2
0 1 3
0 0 4
3 2 1
0 2 3
4 2 0
0 4 3
3 1 1
10 5
2 3 1
3 1 1
3 2 3
4 4 2
4 0 3
4 0 1
0 3 2
3 4 0
2 2 4
0 2 4
10 8
3 2 3
4 1 2
1 2 2
4 1 1
4 4 4
3 4 2
0 2 3
2 4 3
1 3 1
3 3 4
10 8
4 0 2
1 3 0
1 4 4
3 2 1
3 2 3
1 3 2
2 2 3
4 2 0
3 5 3
2 4 4
10 9
4 4 1
3 5 5
1 2 2
4 0 2
4 3 0
1 4 3
3 2 3
5 4 0
0 0 4
1 5 3
10 4
3 1 1
2 3 1
3 0 1
1 3 1
0 2 0
1 1 2
3 2 1
2 1 2
1 3 3
1 0 3
10 5
2 5 2
1 2 5
4 4 3
5 5 1
3 5 0
1 4 3
0 1 2
5 4 4
5 0 0
0 3 4
10 7
1 1 3
0 1 3
0 2 1
3 2 1
3 1 3
3 0 1
0 0 3
2 3 2
3 1 2
1 1 2
10 6
3 2 0
4 1 0
1 4 1
5 2 0
0 4 1
0 2 3
3 5 2
2 0 5
4 5 3
4 4 3
10 9
1 3 4
0 1 0
4 3 0
4 1 4
1 1 0
1 0 3
0 4 2
2 0 4
3 0 4
2 4 4
10 2
3 2 0
4 2 0
2 0 3
4 1 4
0 2 4
1 0 2
2 1 3
0 0 4
3 3 1
1 4 2
10 9
1 0 1
0 1 0
1 1 0
1 2 2
0 1 1
0 2 1
0 2 0
0 0 0
2 2 2
2 1 2
10 8
2 1 4
2 4 0
2 3 0
1 4 0
2 1 2
1 3 2
4 3 1
3 4 3
0 1 1
4 2 3
10 3
0 0 1
2 2 2
1 1 2
0 1 0
0 0 2
1 0 1
0 2 2
2 0 2
2 1 0
1 0 2
10 4
2 4 4
4 2 0
4 4 0
4 1 0
1 1 2
4 0 0
3 3 0
0 0 2
3 1 1
1 4 4
10 3
0 3 1
2 1 0
1 1 0
0 4 4
3 3 1
4 2 1
3 3 0
4 1 1
2 3 2
0 3 4
10 6
0 2 2
2 0 0
2 0 1
2 2 2
0 1 2
1 2 2
0 0 2
0 0 1
0 2 1
1 0 2
10 9
4 0 3
0 2 3
2 4 4
1 1 2
1 5 2
0 5 5
5 4 4
5 2 2
2 2 0
0 3 1
10 8
2 0 0
2 3 1
0 3 0
3 2 0
3 2 1
1 3 2
3 3 0
0 0 1
1 2 1
3 0 0
10 6
1 4 1
2 3 1
4 2 0
1 0 3
1 0 1
3 3 2
4 1 4
1 4 4
2 2 0
3 2 3
10 4
3 1 0
2 1 0
1 1 3
0 1 2
3 0 3
2 2 1
3 0 2
2 3 0
1 2 0
2 3 3
10 8
2 2 3
1 3 1
2 0 2
4 0 3
3 5 4
0 0 3
0 5 2
0 0 1
2 2 1
3 4 4
10 5
1 3 1
1 3 2
3 0 0
0 2 0
3 1 2
0 2 2
3 2 0
0 1 3
0 3 2
2 2 1
10 7
1 4 3
2 2 2
1 1 1
2 3 1
3 1 3
2 2 3
4 4 2
3 3 3
1 1 0
4 0 2
10 9
3 4 4
1 4 4
0 1 4
0 3 3
2 0 0
3 4 2
1 1 1
1 1 4
4 2 4
2 3 1
10 7
1 0 0
0 1 2
0 2 2
2 1 0
2 2 0
1 0 2
1 1 2
2 0 0
1 2 1
0 1 0
10 7
4 0 1
3 1 0
0 3 1
2 1 0
5 3 2
3 0 1
4 4 4
2 1 4
3 3 1
5 0 1
10 7
0 1 2
1 2 0
0 2 1
1 1 1
2 0 1
0 1 0
2 2 0
1 0 2
2 0 2
2 2 2
10 5
2 2 2
5 5 0
1 2 5
3 0 2
2 4 0
0 2 3
3 4 1
1 3 5
3 0 3
0 0 1
10 2
2 0 0
2 3 1
3 0 1
1 0 2
1 3 0
1 1 0
0 0 0
0 3 0
3 1 2
1 2 0
10 7
3 4 0
4 4 0
0 0 5
5 0 2
1 1 1
0 0 4
1 1 4
2 0 5
0 3 3
1 0 3
10 8
1 2 0
0 1 2
1 0 0
0 1 1
1 1 0
2 2 0
0 2 1
2 0 2
1 1 2
1 2 2
10 7
2 3 0
2 2 3
3 0 1
1 1 1
3 3 0
0 3 3
2 1 3
0 2 3
1 1 3
2 3 3
10 7
4 3 4
4 3 0
3 0 1
0 3 2
0 1 1
1 0 0
0 2 4
1 0 1
0 3 1
0 2 0
10 6
4 3 3
3 1 3
1 0 3
4 1 1
2 0 4
4 2 3
2 3 0
3 2 1
3 4 4
0 4 3
10 3
3 3 1
1 0 2
2 1 2
3 3 2
0 1 0
0 3 2
2 0 0
2 0 2
0 2 0
1 1 0
10 4
2 0 1
2 1 2
1 3 2
0 1 2
1 0 0
1 3 0
3 2 0
1 1 2
2 1 1
2 0 0
10 9
2 2 0
0 1 3
3 0 2
1 0 0
0 0 2
1 2 0
0 3 1
2 0 2
1 1 3
1 3 0
10 9
4 0 2
4 3 0
5 5 2
1 0 2
3 1 5
5 0 3
2 0 4
1 1 2
0 3 4
3 3 0
10 5
2 2 2
1 0 1
0 1 2
2 0 2
1 2 0
0 0 0
2 1 1
1 1 1
2 2 1
0 2 2
10 4
3 0 1
3 3 2
2 0 0
2 2 1
0 4 0
4 3 1
1 0 4
2 4 0
0 3 3
4 4 0
10 5
1 1 2
0 3 0
0 4 2
1 4 3
4 2 1
4 2 4
4 1 0
2 3 1
1 0 0
1 3 3
10 5
3 1 1
2 4 4
2 4 1
3 3 4
2 1 0
4 3 1
0 3 4
1 1 2
2 2 2
3 0 4
10 6
2 1 0
2 2 0
1 0 1
2 1 2
0 0 0
1 0 2
1 2 2
2 0 0
0 1 0
0 1 1
10 2
0 2 1
1 0 2
2 1 1
1 1 1
0 2 0
2 0 1
1 0 1
0 0 1
1 1 2
1 2 2
10 6
0 4 0
4 3 2
3 3 3
2 2 4
0 2 3
1 1 3
0 0 0
4 4 4
4 0 3
3 2 2
10 3
2 2 2
3 2 4
4 0 2
3 2 1
1 2 3
3 4 4
0 1 4
0 3 1
1 3 0
1 4 3
10 5
5 2 1
0 2 5
4 0 1
4 2 4
5 4 0
0 0 1
5 2 5
0 1 4
5 0 4
0 5 0
10 2
2 0 1
1 4 0
4 0 3
4 4 2
0 4 1
4 1 4
4 4 3
3 4 1
3 1 0
2 2 3
10 6
0 4 4
2 3 4
3 3 3
0 1 3
0 3 2
4 2 3
3 4 0
1 4 1
4 2 4
4 0 2
10 9
0 2 2
0 1 0
1 2 0
1 0 1
2 1 1
2 0 2
0 0 1
2 2 1
2 1 2
2 2 0
10 5
0 0 2
1 2 0
2 0 2
0 2 2
1 2 2
0 0 1
1 0 2
0 1 1
2 2 2
1 0 0
10 3
3 2 1
3 1 2
3 0 3
2 0 0
0 1 0
3 3 3
1 3 3
2 2 1
1 0 2
2 0 1
10 6
0 4 2
2 4 3
4 4 0
0 1 1
1 2 0
4 1 2
0 3 1
4 3 4
0 2 0
1 0 3
10 3
1 1 2
0 2 0
1 3 1
2 2 2
1 0 0
1 2 3
2 3 1
1 3 3
2 3 2
3 3 3
10 5
2 2 1
5 4 4
5 2 4
1 2 3
0 4 4
5 4 1
3 5 2
4 1 4
4 1 1
0 0 5
10 5
1 2 1
4 4 2
2 5 0
2 4 0
5 0 2
4 2 0
5 2 1
4 5 5
3 1 5
2 4 4
10 2
3 3 4
4 0 3
2 2 4
5 2 5
5 4 0
4 5 5
3 0 5
2 0 4
4 5 4
2 4 4
10 5
0 4 2
4 4 4
4 3 3
3 4 1
2 1 4
4 2 4
1 2 4
4 1 4
0 4 3
3 0 0
10 5
1 1 2
2 1 1
2 2 2
0 2 2
0 1 0
1 0 1
0 0 2
0 2 1
0 2 0
1 1 1
10 3
3 0 2
2 3 3
2 1 3
2 2 2
2 1 1
1 0 1
1 2 1
0 3 0
0 2 2
1 0 3
10 5
2 1 0
2 0 0
1 2 0
0 2 0
2 0 2
2 2 1
0 0 2
0 2 1
2 1 2
1 1 0
10 5
0 2 1
0 1 0
0 2 0
2 2 0
0 0 2
1 2 1
2 0 1
1 2 0
1 1 2
2 1 1
10 4
1 1 2
3 1 2
3 0 3
2 3 2
1 3 0
0 0 1
2 3 3
1 2 0
3 3 3
2 0 0
10 7
2 2 0
2 5 3
3 4 1
2 0 2
3 1 4
4 5 0
5 5 3
2 4 1
0 3 5
1 1 0
10 7
1 4 3
2 0 1
0 4 4
3 0 3
1 3 1
2 0 4
0 4 0
2 2 1
1 0 4
0 2 1
10 7
2 1 0
1 2 2
1 1 2
0 2 1
2 0 2
0 2 2
0 0 0
0 2 0
0 1 1
1 2 1
10 6
1 1 0
1 2 1
1 0 0
0 2 2
2 1 1
0 1 0
2 2 1
2 2 2
1 0 1
2 1 0
10 6
3 5 4
2 1 1
0 2 1
3 1 4
0 3 2
3 3 3
2 5 3
2 5 2
4 3 5
1 1 1
10 2
0 3 2
0 3 0
0 0 3
0 3 3
0 1 2
0 2 0
2 1 2
3 2 2
3 1 0
1 2 1
10 9
1 0 1
0 2 1
2 1 1
2 2 2
1 0 0
2 0 0
2 2 1
1 2 1
0 1 1
0 1 2
10 2
0 0 2
3 3 2
0 3 3
3 0 3
1 1 1
0 2 3
3 2 2
2 1 1
1 3 1
1 0 1
10 3
0 3 3
0 0 1
1 3 0
2 3 3
1 1 1
0 1 0
0 0 0
3 3 3
0 2 0
3 2 1
10 4
1 3 0
1 2 2
0 2 4
4 4 3
1 0 0
2 3 1
3 0 0
3 2 4
0 1 2
0 4 4
10 8
4 5 1
1 4 2
3 5 3
0 1 0
4 5 2
2 0 1
3 4 0
5 3 5
5 2 5
0 0 1
10 7
1 0 3
2 1 0
0 0 3
4 2 1
2 0 1
2 3 1
1 0 1
3 4 1
4 1 4
0 0 2
10 2
2 3 0
2 3 3
3 0 2
1 3 1
3 1 0
2 0 2
3 3 3
0 0 0
0 2 0
3 2 2
10 4
1 3 1
2 3 3
3 4 3
1 3 3
3 3 0
1 0 2
0 2 4
2 0 2
2 3 0
3 0 1
10 8
1 0 2
0 0 0
2 0 1
2 0 2
1 2 2
2 1 2
0 2 2
1 0 1
0 1 0
1 1 0
10 9
4 0 2
4 1 1
0 2 2
1 4 4
1 4 0
0 1 4
3 3 0
2 1 2
1 2 2
1 3 3
10 4
1 0 2
2 1 1
1 2 1
3 2 3
3 1 0
1 1 2
2 2 0
0 0 1
2 0 0
2 1 3
10 4
0 2 1
2 1 1
0 1 1
1 0 2
1 2 2
1 1 0
2 2 1
0 2 0
1 0 1
2 2 0
10 7
4 0 1
3 2 4
0 1 1
1 4 1
5 2 5
5 0 1
2 2 3
3 5 4
1 1 2
5 0 5
10 9
2 2 0
4 0 3
1 0 1
2 0 4
4 1 0
3 1 2
2 4 3
2 1 1
0 2 1
0 3 1
10 6
4 2 1
1 2 4
3 3 4
0 3 0
3 1 1
2 0 2
1 0 0
1 0 4
2 1 4
2 2 2
10 6
4 3 1
1 4 4
0 1 4
3 3 3
2 4 0
3 4 1
2 4 4
3 1 2
3 4 4
2 2 4
10 7
1 5 2
5 3 0
4 3 1
1 0 5
3 1 4
1 1 4
3 4 2
1 5 5
5 2 0
3 0 4
10 6
1 0 0
2 3 0
3 0 0
3 2 3
0 3 1
1 1 0
1 2 2
1 1 3
2 1 0
2 2 3
10 7
1 1 1
2 0 1
0 0 2
2 2 1
3 3 3
2 3 1
3 3 1
1 1 3
1 3 1
0 0 1
10 4
4 1 3
0 1 0
3 2 2
1 4 2
1 1 4
4 0 3
0 2 1
3 3 0
4 3 0
1 1 3
10 9
2 2 1
1 2 1
2 0 0
0 1 2
1 2 0
1 2 2
0 1 0
2 1 2
0 2 0
2 2 2
10 2
0 1 3
2 3 0
0 1 1
0 0 0
0 2 0
2 1 3
1 3 1
2 0 3
3 1 1
3 0 0
10 3
0 1 3
3 3 2
1 3 2
1 0 2
0 0 0
1 2 3
1 0 3
0 0 2
3 0 1
3 0 3
10 2
4 2 3
3 5 2
3 5 4
3 1 4
0 0 5
2 5 3
5 1 1
3 3 3
3 0 5
0 1 2
10 4
2 3 0
2 5 3
3 0 4
5 5 2
0 5 0
4 0 5
1 5 3
3 2 1
0 5 4
4 3 4
10 7
2 0 2
0 2 4
3 3 3
2 1 4
2 2 5
0 1 1
3 0 2
1 4 3
3 5 5
3 5 0
10 4
1 3 2
0 2 2
2 1 3
1 1 0
0 0 2
2 0 1
0 3 3
0 3 1
1 1 1
2 1 2
10 4
1 0 0
0 3 3
3 2 2
3 1 0
3 2 0
2 1 2
1 1 1
2 3 0
2 1 0
0 0 1
10 8
1 0 0
0 0 2
1 2 2
2 1 2
2 0 0
0 1 2
0 1 0
0 0 0
1 2 1
1 0 1
10 6
3 2 1
0 2 2
0 2 3
1 3 3
0 3 0
3 0 1
2 1 2
1 1 0
0 0 0
3 1 2
10 3
0 2 3
0 3 0
2 2 1
0 3 1
0 0 3
1 1 0
1 0 0
3 0 2
2 1 2
3 2 3
10 9
0 2 0
1 0 2
1 1 0
1 0 0
1 0 1
1 2 2
0 2 2
1 2 0
2 1 1
2 1 2
10 3
0 3 4
4 2 4
2 1 4
2 3 1
4 3 2
0 2 0
0 1 3
1 2 3
0 2 1
2 1 3
10 2
1 2 1
1 0 2
0 0 1
2 2 0
0 2 0
0 1 0
0 0 0
0 2 2
1 2 0
1 0 1
10 7
1 1 0
0 4 2
2 4 4
2 1 4
0 4 4
2 4 2
0 3 3
2 0 2
2 2 2
4 4 1
10 5
3 1 3
3 2 3
1 3 3
2 1 3
1 2 0
2 1 2
0 0 3
1 2 1
3 0 1
3 3 2
10 5
1 1 1
2 1 1
2 0 0
1 3 1
2 0 1
2 0 2
0 2 2
0 3 3
2 2 3
1 3 2
10 3
1 3 3
3 0 1
3 0 0
1 1 1
1 1 3
0 3 0
2 0 1
2 3 1
3 0 2
0 0 3
10 2
2 2 0
1 4 0
1 1 3
4 2 1
2 4 3
0 2 1
2 1 3
0 1 3
3 2 4
1 0 3
10 3
4 0 4
4 2 0
1 3 3
4 0 2
1 2 1
3 0 3
0 3 3
1 1 3
0 1 3
0 3 0
10 9
5 1 1
3 2 3
5 2 5
4 5 5
2 3 2
4 4 4
4 0 2
4 4 5
3 1 1
1 5 1
10 5
1 1 4
0 0 3
3 5 3
0 1 3
3 1 1
5 0 2
1 1 3
5 3 1
0 0 1
2 1 3
10 7
1 3 3
4 0 3
1 2 4
0 0 2
1 3 2
3 0 2
3 3 0
2 0 1
2 2 2
3 3 2
10 7
3 3 4
3 0 2
0 4 3
0 0 3
2 0 3
3 3 2
4 0 0
0 3 0
3 2 4
1 4 3
10 6
2 2 0
0 0 2
0 2 2
2 0 1
1 2 0
0 2 1
1 1 2
2 1 2
2 2 1
0 0 0
10 7
1 1 1
0 1 1
1 1 2
1 2 2
2 0 1
0 2 1
1 1 0
1 2 0
2 1 2
1 0 1
10 7
1 1 3
0 0 0
0 0 2
2 3 4
5 4 0
1 0 4
5 4 5
4 5 2
2 2 3
2 5 4
10 3
0 1 3
1 1 0
3 2 4
2 0 2
4 2 1
3 3 1
2 2 2
3 0 0
0 4 0
4 3 4
10 9
2 3 0
3 3 4
0 1 0
4 1 0
0 3 1
3 4 2
3 3 2
3 1 1
4 4 3
2 3 4
10 5
0 2 1
1 2 2
1 2 1
0 1 1
1 0 1
1 0 0
2 2 2
1 2 0
1 0 2
0 1 2
10 3
2 4 0
2 1 0
0 1 1
4 2 3
1 4 1
0 2 1
4 2 4
2 4 4
2 3 2
3 2 3
10 2
2 2 1
5 2 0
0 5 1
2 5 2
3 5 1
4 4 1
2 5 1
1 4 3
5 0 4
1 4 0
10 8
0 2 1
1 2 2
0 0 2
2 2 0
1 2 1
0 2 2
1 0 1
1 0 0
0 1 2
0 0 0
10 8
1 3 2
3 3 0
0 4 2
0 3 4
4 0 4
2 2 4
1 2 3
4 2 2
0 2 1
3 0 2
10 6
3 2 1
1 3 1
0 3 0
0 3 3
1 0 3
1 3 2
1 1 0
0 2 2
1 0 1
3 2 3
10 9
3 4 1
4 2 1
1 3 3
5 2 5
2 4 3
3 4 0
3 0 0
4 3 2
2 1 1
3 3 0
10 6
1 5 1
1 4 5
4 0 2
4 1 1
0 0 0
3 3 5
4 3 1
4 2 2
5 0 0
2 4 5
10 5
2 1 2
2 0 0
2 1 0
0 1 0
0 1 2
1 1 2
0 2 0
0 0 0
2 0 2
1 0 0
10 2
0 1 2
1 1 4
4 0 3
1 3 3
1 0 2
3 0 2
0 4 3
3 0 0
3 1 0
0 0 4
10 4
4 2 0
2 0 4
4 4 2
4 1 3
1 1 2
0 2 1
2 3 2
4 4 3
0 2 0
0 2 4
10 5
2 1 0
2 2 1
2 0 2
1 1 0
1 2 0
2 1 2
0 0 2
2 0 1
0 2 2
2 2 2
10 3
1 2 4
0 0 4
0 0 0
4 1 3
3 3 5
5 2 5
0 3 0
0 1 3
5 4 3
3 2 2
10 5
2 0 0
0 3 0
1 2 1
2 3 2
1 1 0
1 1 1
0 3 3
1 0 0
3 2 2
0 3 1
10 5
3 3 2
0 0 1
2 1 1
2 3 0
1 2 2
2 1 3
3 1 0
0 1 0
0 1 1
3 3 1
10 9
0 2 2
1 0 0
2 0 0
1 0 1
1 1 1
2 1 2
2 0 1
2 2 0
0 1 2
1 2 1
10 4
3 0 1
0 4 4
2 4 0
3 3 0
2 4 2
1 4 2
0 1 4
1 2 3
2 3 0
4 1 2
10 7
0 0 3
2 0 0
1 1 3
3 2 0
2 2 0
0 0 0
3 1 2
3 3 2
3 2 2
2 1 3
10 9
0 1 2
0 1 1
2 0 2
2 1 2
2 1 0
0 0 0
0 2 0
1 2 2
0 2 2
1 0 0
10 7
0 0 0
0 4 5
3 4 2
2 4 4
5 3 2
1 2 1
1 3 2
0 3 1
2 1 0
3 1 2
10 5
0 2 0
0 0 1
0 2 1
2 2 1
1 0 2
1 2 1
2 0 2
1 0 1
2 0 0
0 1 0
10 3
3 3 2
0 0 3
3 0 3
3 3 0
4 1 4
0 3 0
2 2 3
0 4 1
1 4 3
2 0 2
10 9
1 1 0
2 4 3
1 2 3
2 1 1
4 2 4
3 0 3
1 2 0
2 0 2
3 2 2
2 3 2
10 9
5 2 0
2 0 2
4 5 4
1 4 5
1 5 0
0 1 1
1 2 3
1 1 0
1 2 4
3 1 5
10 5
4 4 1
0 1 1
0 2 5
4 4 2
5 0 5
3 3 2
0 5 5
4 0 3
3 4 4
3 0 0
10 3
0 0 1
1 1 2
0 0 2
1 0 0
2 0 1
0 2 2
0 2 0
2 1 0
0 0 0
2 1 1
10 2
2 2 3
1 1 1
3 1 2
2 1 0
1 1 0
2 1 1
0 3 0
3 1 3
1 2 3
1 2 2
10 9
0 4 2
4 4 4
3 0 2
4 3 0
2 0 2
4 1 3
1 3 1
1 1 2
3 1 1
0 4 3
10 2
5 1 4
5 0 5
0 3 5
5 1 0
2 4 1
0 0 4
4 1 3
3 0 5
3 3 0
1 2 5
10 2
2 3 4
5 2 2
1 1 3
4 0 2
2 3 5
1 4 1
2 0 0
1 5 0
2 5 0
3 5 0
10 6
0 1 0
3 0 2
3 0 0
1 3 2
1 1 1
0 1 1
3 3 2
3 1 3
1 1 2
3 2 1
10 9
5 4 0
5 2 1
0 0 5
3 0 5
0 0 4
5 5 2
2 2 5
1 4 3
1 3 1
5 5 5
10 8
1 3 3
0 2 3
0 2 1
3 1 0
1 1 0
2 3 0
3 2 2
0 3 0
0 2 0
1 0 2
10 9
1 2 2
1 1 1
2 0 1
2 2 1
2 1 1
1 0 2
2 1 2
0 2 2
0 2 0
1 0 0
10 5
0 0 2
4 3 0
3 3 1
2 3 1
0 0 1
2 2 1
0 4 2
0 0 4
4 2 2
4 1 1
10 8
0 3 0
0 5 3
4 3 2
1 5 2
5 4 4
2 0 4
4 0 0
5 3 4
1 2 1
1 4 3
10 2
3 3 3
3 3 0
2 1 3
0 2 0
1 1 3
0 1 0
3 1 1
3 2 2
3 2 1
1 1 0
10 5
2 2 1
0 1 1
1 1 1
1 1 0
1 2 0
1 0 1
2 2 0
0 2 2
0 2 1
2 1 2
10 5
2 2 1
2 2 0
3 0 0
0 0 1
0 2 1
1 3 3
0 2 2
1 0 0
0 3 0
2 0 2
10 9
1 0 1
1 2 0
0 2 1
1 0 2
2 2 0
0 2 2
2 1 1
0 2 0
2 0 1
1 1 0
10 8
2 1 0
1 1 5
1 4 0
2 4 3
2 1 3
1 0 5
3 5 3
1 1 0
3 2 2
0 3 3
10 9
2 0 1
1 2 2
1 1 1
1 2 0
2 0 2
0 1 2
0 0 0
2 1 0
2 0 0
1 0 2
10 5
1 3 3
3 2 0
3 2 1
2 3 0
2 1 3
1 3 2
0 1 3
2 1 2
1 1 0
2 2 3
10 3
0 1 0
2 0 0
3 1 1
0 3 2
1 1 1
1 0 1
3 3 3
0 2 0
0 1 3
1 2 3
10 2
1 5 0
0 2 5
3 0 4
5 2 4
4 5 5
3 2 4
3 1 1
5 0 4
2 4 2
3 0 0
10 2
4 1 0
4 0 2
0 0 2
3 3 2
0 0 0
1 1 2
3 1 2
0 0 4
1 0 1
3 4 3
10 5
2 0 2
1 1 0
1 2 0
2 1 1
0 2 1
1 0 1
2 1 2
2 1 0
0 2 2
1 2 2
10 6
0 2 0
2 0 1
0 1 1
2 1 0
0 1 0
1 2 2
0 0 1
1 2 0
0 2 1
2 2 2
10 6
2 5 5
2 5 0
3 1 5
2 5 3
1 5 2
1 4 4
3 2 2
2 4 4
4 1 2
3 2 3
10 2
0 5 5
2 3 1
4 0 0
1 0 2
3 2 0
4 5 0
2 0 0
0 3 2
3 0 3
5 2 1
10 4
2 2 3
1 0 0
2 3 1
3 0 0
3 3 3
1 2 1
3 3 2
0 1 3
3 0 1
1 0 3
10 7
2 0 1
2 3 1
3 5 1
0 4 2
0 1 4
4 3 0
4 3 3
3 1 0
1 2 1
0 1 0
10 5
0 5 5
4 1 5
3 4 5
1 5 5
5 1 4
5 0 1
2 1 2
3 4 2
4 5 1
5 0 4
10 3
1 4 0
3 2 3
3 4 0
1 4 1
2 3 3
2 1 4
2 2 3
1 4 4
4 0 4
1 3 4
10 5
0 0 3
4 2 2
0 4 5
1 5 4
4 4 5
2 4 3
0 3 0
5 5 4
0 1 5
4 2 5
10 2
3 3 3
0 0 3
2 2 2
1 3 0
4 1 1
2 2 4
3 1 3
0 2 4
0 4 3
1 1 4
10 3
4 3 5
1 4 1
4 5 3
1 3 4
3 5 2
2 2 0
0 0 0
0 3 1
4 1 4
2 1 0
10 7
0 2 0
2 1 0
2 2 1
2 0 1
2 1 2
2 2 0
2 1 1
1 1 1
1 0 0
0 2 1
10 5
2 1 4
1 4 4
4 3 3
0 3 0
0 2 1
0 1 1
2 2 3
1 4 2
1 0 3
1 3 2
10 5
1 1 0
2 1 0
2 1 3
1 2 0
0 1 2
2 0 2
1 3 2
1 0 3
3 2 0
3 1 1
10 8
0 0 1
1 0 2
2 2 2
2 0 1
1 0 0
0 1 0
0 2 1
0 2 0
1 0 1
2 1 0
10 3
1 3 0
1 3 3
0 1 2
3 1 2
0 2 3
0 0 2
1 1 2
1 1 0
2 1 2
2 0 3
10 5
1 2 2
3 0 2
3 0 3
2 2 1
0 2 1
3 0 0
1 3 2
3 3 0
1 3 0
1 3 3
10 4
2 2 2
2 1 2
2 2 1
1 1 1
0 0 0
0 1 0
1 2 1
1 1 0
2 1 1
1 0 1
10 4
2 1 0
5 2 4
3 0 4
1 0 0
1 4 5
4 3 5
5 4 4
1 0 2
2 5 3
2 2 3
10 6
4 4 2
4 1 2
2 4 3
3 3 0
0 2 4
0 4 4
4 2 1
4 1 3
0 2 2
4 1 1
10 7
1 1 4
2 3 2
5 3 5
2 4 2
1 2 3
4 4 3
2 3 0
2 4 4
4 1 3
1 5 2
10 2
2 0 2
2 2 0
2 0 0
1 0 2
0 1 1
1 2 0
0 2 2
2 1 2
1 1 0
2 0 1
10 3
3 4 3
0 5 2
1 2 4
0 4 2
3 5 5
2 5 4
3 1 3
3 4 1
0 1 4
2 3 0
10 8
0 2 2
2 0 2
1 0 1
0 2 1
1 2 1
2 2 0
0 1 1
1 1 2
1 0 2
2 1 2
10 9
3 3 3
1 3 2
2 3 1
1 3 1
0 1 0
2 2 2
2 1 1
1 3 3
0 3 2
3 1 0
10 4
2 2 0
0 0 0
2 3 2
2 2 1
3 1 1
3 1 0
3 0 2
3 1 2
1 3 3
0 3 1
10 9
3 2 4
1 0 4
3 2 3
1 2 2
3 0 4
2 0 3
4 0 3
1 3 0
4 4 3
4 1 1
10 5
2 0 0
2 1 1
1 0 0
0 2 1
1 1 1
1 1 0
0 2 2
0 0 0
2 2 2
2 2 0
10 4
1 2 1
1 0 2
0 0 0
2 2 0
1 1 2
0 1 0
1 2 2
2 1 2
2 0 2
2 0 1
10 7
5 5 1
4 0 1
1 4 1
3 4 1
1 3 4
2 0 1
1 2 5
5 1 2
4 4 3
5 0 3
10 4
0 0 2
0 3 0
3 2 3
1 3 2
3 0 1
0 1 3
0 2 1
3 0 0
1 0 2
2 1 2
10 3
2 0 0
2 3 3
2 3 4
0 1 0
2 4 1
2 0 2
2 2 2
1 1 1
0 2 3
4 2 3
10 6
0 1 0
2 1 0
2 2 2
0 0 0
1 2 2
1 2 0
1 0 2
1 1 1
2 2 0
0 1 2
10 9
3 4 2
4 2 4
2 2 3
0 2 3
4 0 1
0 1 2
1 4 1
1 2 1
4 1 2
1 2 4
10 6
3 1 4
1 5 3
3 0 4
4 2 3
4 4 5
5 5 0
4 1 0
0 5 2
2 4 0
2 3 5
10 3
2 0 1
2 2 4
4 4 4
0 1 2
1 4 1
4 4 2
4 1 4
1 2 1
0 0 0
1 3 1
10 2
3 3 4
0 2 3
1 2 3
1 0 4
3 0 3
3 1 2
1 2 2
0 0 3
4 2 0
1 0 3
10 8
1 1 2
4 1 0
1 0 3
3 2 4
3 4 0
2 3 0
0 0 3
0 2 3
3 1 0
0 3 2
10 6
1 2 1
0 2 0
0 1 2
0 0 2
1 1 1
2 1 2
0 2 1
0 0 0
1 2 2
0 1 0
10 6
4 5 5
2 3 4
0 5 1
5 5 1
0 4 2
5 3 3
1 5 4
4 3 1
1 3 0
5 4 4
10 6
1 0 2
1 3 0
1 3 2
1 0 1
2 0 1
1 2 2
1 1 2
0 2 3
3 1 2
2 2 2
10 9
4 4 1
1 5 4
1 4 1
1 2 2
2 1 2
3 5 2
2 4 3
0 2 3
5 4 2
3 0 2
10 6
1 4 4
4 2 5
4 3 4
0 2 5
1 4 5
2 2 0
3 5 1
2 3 1
0 2 0
0 2 2
10 6
1 3 2
1 2 1
5 3 3
3 0 0
5 1 3
0 3 2
5 1 0
3 5 0
1 2 5
5 5 5
10 4
3 0 2
0 0 2
1 1 2
0 3 3
0 0 1
0 2 2
3 3 0
0 0 3
1 3 0
2 2 3
10 7
4 2 1
0 2 4
2 4 4
0 1 4
0 2 1
1 1 1
0 3 3
3 4 4
4 0 1
4 1 2
10 3
3 1 1
2 0 0
2 1 1
1 1 0
1 2 0
1 0 2
0 0 1
0 3 2
0 1 1
2 1 0
10 3
2 2 0
2 2 1
2 1 2
0 0 2
1 0 0
0 2 1
3 3 3
0 3 0
0 3 1
1 3 1
10 8
0 0 1
1 0 1
1 2 1
1 0 2
0 1 0
0 2 2
0 1 1
2 2 0
1 2 0
2 0 0
10 6
0 3 0
0 2 1
1 3 2
2 3 2
3 1 1
2 2 0
2 0 1
2 0 3
0 0 2
3 2 1
10 7
0 1 2
2 1 1
2 0 2
0 1 0
0 0 2
1 0 2
0 0 0
0 1 1
1 1 0
2 2 0
10 3
0 3 5
1 0 4
5 4 3
1 3 3
3 4 3
3 5 4
0 4 4
5 2 1
3 5 5
1 4 2
10 5
0 0 0
2 1 2
1 1 0
1 2 2
0 0 2
1 2 0
2 0 1
0 2 2
0 1 1
1 1 2
10 7
1 2 0
2 1 1
2 0 0
1 2 2
2 2 0
0 2 1
2 2 2
1 0 2
0 1 0
2 0 1
10 2
1 0 4
3 0 2
3 3 2
3 3 3
4 4 1
4 2 0
4 3 0
2 4 1
4 4 3
2 0 4
10 9
1 4 1
5 4 1
1 4 4
5 1 2
0 5 0
4 5 4
3 0 5
4 2 5
0 3 0
3 3 4
10 3
2 0 0
1 2 0
1 2 1
0 1 0
2 1 0
1 0 2
1 0 1
0 2 2
2 1 1
2 0 1
10 6
4 1 2
1 1 2
0 2 4
1 0 4
1 0 2
3 1 1
0 0 1
2 0 3
4 2 2
1 4 1
10 6
2 1 2
3 2 1
4 0 0
0 3 0
3 4 4
0 4 4
1 0 5
0 1 0
0 0 5
0 3 1
10 3
3 3 4
1 4 2
4 0 0
0 0 0
0 0 1
4 1 3
3 3 1
4 0 1
1 2 4
0 2 1
10 5
2 0 3
4 2 0
4 0 3
3 1 3
2 4 0
1 1 0
1 0 1
2 1 1
1 2 0
3 3 0
10 7
3 1 2
3 3 1
1 2 1
2 2 2
0 2 2
3 0 3
2 2 1
3 3 2
1 1 1
0 1 0
10 8
0 1 1
2 4 1
3 3 4
3 4 2
4 4 3
2 2 0
3 0 3
1 4 4
1 2 2
2 3 0
10 9
3 0 2
2 1 3
2 3 2
3 0 1
2 1 0
2 0 3
1 1 0
0 0 1
2 3 0
1 0 1
10 3
0 2 0
0 3 2
1 2 0
2 3 3
3 1 4
4 4 1
4 1 4
2 0 0
2 2 3
2 1 2
10 4
2 4 4
2 5 2
2 3 0
4 0 5
2 5 3
0 0 2
4 1 0
2 1 4
1 5 2
2 0 1
10 7
1 0 0
1 0 2
3 1 2
2 3 0
0 1 1
2 0 0
0 2 1
2 3 2
3 3 0
3 2 1
10 2
3 5 3
4 5 1
1 3 3
1 5 0
5 2 4
1 4 5
2 0 1
3 4 3
4 5 2
0 3 2
10 4
2 1 3
3 2 0
4 3 2
0 0 0
3 2 1
5 5 0
3 3 0
3 3 3
0 3 5
2 2 3
10 7
2 2 0
2 1 2
0 0 2
0 0 1
0 1 1
0 2 2
1 1 2
1 0 2
1 1 1
1 2 1
10 4
2 1 1
0 1 1
1 1 1
1 2 0
0 0 0
0 0 1
1 0 2
0 0 2
2 2 1
0 2 2
10 8
3 0 2
1 2 3
3 4 3
5 0 2
3 1 1
0 1 3
5 5 4
4 3 3
4 0 4
2 4 2
10 6
0 1 1
0 0 4
1 4 2
1 4 0
4 3 0
0 0 3
1 4 4
1 4 3
4 2 4
2 1 2
10 9
2 2 2
2 2 0
1 5 5
5 4 1
1 3 0
0 2 4
5 2 0
0 1 5
2 0 1
0 5 3
10 4
2 0 2
2 1 2
3 3 1
2 2 0
2 3 1
2 2 1
3 2 0
0 0 1
1 3 1
3 1 2
10 2
5 4 5
0 3 0
4 2 4
4 3 0
5 1 0
1 2 4
2 4 1
2 0 0
3 4 3
3 2 2
10 9
0 3 1
3 3 4
4 0 3
2 3 5
3 5 4
3 0 0
3 0 4
2 2 5
5 0 4
2 1 4
10 8
1 4 2
0 0 1
2 2 0
3 2 1
1 1 0
4 2 0
4 4 3
1 2 1
1 0 0
2 1 4
10 8
1 2 2
2 2 1
1 1 1
2 2 2
0 2 1
0 1 2
2 1 1
0 0 2
1 0 1
1 0 2
10 5
3 2 4
2 2 3
5 5 3
3 2 3
2 1 1
3 2 2
1 0 3
4 2 3
1 2 0
5 3 2
10 9
0 2 0
0 2 1
1 0 0
0 1 0
1 2 1
2 0 1
1 1 1
0 1 2
1 0 2
2 2 2
10 4
5 0 4
0 4 5
2 3 3
5 0 3
0 0 0
4 1 5
4 0 0
2 1 5
2 5 4
1 1 4
10 2
3 0 1
0 0 3
0 0 1
0 0 0
1 1 0
0 0 2
3 2 2
3 3 2
0 1 0
2 2 3
10 6
2 4 0
5 2 3
5 5 2
2 3 3
2 0 0
2 1 4
4 5 2
1 1 5
3 5 0
0 4 1
10 6
4 3 0
0 1 1
3 5 2
4 3 3
0 5 5
4 5 4
5 3 1
5 5 4
5 1 5
3 2 0
10 8
3 0 0
2 0 3
0 4 4
3 1 3
1 1 0
3 3 0
2 1 0
0 3 1
3 1 1
2 2 2
10 7
1 1 4
2 3 0
3 1 3
0 4 2
0 0 3
3 1 4
1 3 0
1 4 0
3 4 0
1 1 1
10 9
5 0 0
0 0 4
2 5 1
1 1 4
0 2 4
2 0 2
2 1 1
2 4 0
2 2 4
1 0 4
10 6
0 2 1
2 0 2
0 0 2
1 2 2
1 0 2
0 1 2
0 0 0
1 1 1
0 2 2
0 2 0
10 2
3 3 2
1 1 1
1 0 3
1 2 2
3 0 1
3 0 3
3 3 3
0 2 2
0 3 2
1 2 1
10 7
4 4 4
2 0 0
0 0 2
2 0 4
1 3 3
1 0 2
1 2 2
2 2 1
2 3 4
4 4 2
10 4
0 1 4
3 4 2
3 3 2
2 4 1
2 4 2
1 4 1
1 1 3
1 0 3
4 0 3
1 3 4
10 9
1 3 3
0 3 0
2 3 3
0 1 3
3 3 2
1 0 3
3 2 0
3 0 1
2 1 2
0 0 0
10 8
1 3 1
2 0 3
2 2 3
2 1 2
3 1 3
3 0 0
0 0 1
3 0 1
0 3 3
1 3 0
10 2
0 2 0
2 1 3
2 4 3
3 2 3
0 0 1
2 1 0
1 0 0
4 2 0
2 3 2
3 1 4
10 6
0 0 2
1 2 2
2 0 1
2 1 1
2 1 2
0 1 1
0 2 1
0 1 2
1 2 0
0 2 2
10 9
0 1 2
1 0 3
3 0 4
1 4 3
4 2 1
1 3 2
0 3 4
2 5 3
1 1 3
1 4 5
10 3
0 3 1
2 3 0
0 1 4
3 0 2
2 4 1
3 3 2
4 1 0
1 3 4
0 4 4
2 0 2
10 2
2 1 1
2 3 1
3 3 3
1 1 0
3 3 0
0 3 1
3 1 3
1 2 1
3 2 0
2 1 3
10 6
3 1 0
1 1 2
1 0 3
3 2 1
2 0 3
1 0 2
0 1 0
3 2 0
1 0 1
3 1 1
10 2
1 2 2
2 0 0
0 1 0
0 0 1
2 2 1
2 0 1
0 2 2
1 1 1
0 1 2
0 0 2
10 7
0 4 1
0 2 4
2 0 1
3 4 3
4 2 2
1 4 1
0 2 0
2 3 1
1 0 1
2 2 4
10 7
1 4 5
5 4 0
0 0 2
3 1 4
2 2 0
2 2 4
0 4 1
5 1 4
0 5 2
1 5 1
10 6
0 1 0
0 2 0
1 1 1
1 0 0
2 1 2
1 0 1
0 2 1
2 2 1
0 0 1
2 1 1
10 9
1 0 2
2 1 0
2 0 1
3 2 1
0 2 3
1 1 3
1 1 1
0 0 1
1 3 0
0 3 0
10 2
2 1 4
3 2 5
3 1 2
4 3 0
2 5 4
1 4 0
5 0 0
4 4 3
3 3 4
2 4 0
10 8
1 4 0
2 0 0
1 2 1
4 1 0
3 2 2
2 1 4
0 4 2
0 2 0
1 0 4
2 4 3
10 6
1 2 1
0 1 4
0 2 1
4 0 2
1 3 1
3 3 4
4 0 3
2 4 4
2 2 4
0 2 4
10 8
2 2 1
0 0 1
2 0 2
0 1 2
1 0 1
1 0 0
1 1 1
0 2 1
0 2 0
2 2 0
10 2
2 1 1
1 1 2
1 3 0
2 0 2
3 1 2
3 0 0
3 1 1
2 3 3
0 0 3
2 0 3
10 6
4 4 0
1 0 0
4 4 2
2 2 3
3 3 2
3 3 0
0 2 2
0 1 0
0 3 2
1 3 0
10 4
4 1 4
2 0 0
3 0 3
3 3 1
2 1 3
1 2 3
4 4 1
4 3 1
4 0 2
1 1 0
10 4
1 1 0
0 2 1
0 2 0
1 1 2
2 2 1
2 2 2
0 0 0
1 2 1
2 1 1
0 1 0
10 9
4 2 4
4 0 2
0 2 3
0 4 1
1 4 0
4 1 0
3 1 4
3 4 3
1 4 4
2 0 1
10 3
1 1 0
3 2 3
1 2 1
0 2 0
1 1 3
1 1 2
0 0 3
2 2 3
2 3 3
1 0 2
10 9
1 3 3
4 3 1
2 0 3
0 1 1
0 4 0
2 4 4
1 1 3
2 3 0
2 4 2
2 0 1
10 9
0 0 0
2 2 2
2 0 0
2 2 1
1 0 1
0 1 1
1 1 2
1 1 0
0 0 1
0 2 1
10 3
4 4 3
0 5 1
4 0 4
5 2 0
0 3 5
4 0 0
2 5 1
0 2 3
1 2 0
4 4 5
10 2
2 1 1
4 1 1
2 3 4
1 2 4
2 4 4
3 2 1
0 0 1
2 4 0
1 4 3
1 1 4
10 9
5 3 3
1 3 3
5 0 0
0 5 3
0 4 3
1 4 0
0 2 3
4 3 1
2 0 3
3 5 1
10 5
0 3 2
4 0 1
2 1 0
4 1 3
1 3 2
2 4 2
0 4 3
3 1 2
1 3 4
0 1 3
10 4
3 3 3
1 2 3
3 2 2
0 3 2
1 1 3
2 2 1
1 3 1
0 0 3
2 2 2
2 3 0
10 6
2 0 4
1 3 0
4 1 2
0 0 4
3 0 1
1 2 1
1 4 2
2 1 0
4 0 0
3 1 3
10 2
0 0 2
1 1 3
2 2 1
1 1 2
0 1 1
0 2 0
3 2 0
1 3 2
1 0 3
0 1 3
10 8
2 0 3
0 1 0
3 1 1
3 4 0
3 3 0
1 1 1
2 0 1
3 2 3
1 3 1
2 0 4
10 8
5 3 4
2 4 4
0 5 0
3 3 5
0 0 5
1 3 4
3 0 4
1 5 1
4 0 2
4 1 4
10 9
0 0 1
1 0 0
2 2 1
1 0 1
0 2 1
2 1 0
0 1 1
0 1 0
2 2 2
0 0 2
10 8
2 3 3
2 0 2
0 3 2
2 2 1
1 2 0
0 1 2
2 1 3
3 0 2
1 1 3
3 0 0
10 2
4 5 5
4 4 2
2 5 5
2 2 2
5 0 1
1 2 3
0 4 3
1 4 2
4 1 1
5 2 4
10 3
1 0 1
0 0 1
1 2 3
1 1 2
3 1 0
3 3 1
3 3 0
0 3 1
2 3 0
0 3 3
10 8
1 0 1
2 0 5
4 5 4
0 2 5
3 0 5
2 1 1
3 0 3
1 4 1
2 2 4
1 1 5
10 6
0 0 0
0 2 2
0 2 3
3 0 1
3 2 0
0 1 3
3 1 3
3 1 2
3 1 0
2 1 0
10 3
0 0 2
1 0 2
0 0 1
2 2 0
1 1 1
0 0 0
0 1 0
1 2 0
2 2 1
0 1 1
10 3
2 2 1
0 2 1
4 1 0
3 3 4
4 2 2
1 0 1
1 4 0
0 4 4
2 4 2
1 3 2
10 3
0 2 0
1 3 2
3 2 1
1 1 4
1 2 2
1 1 2
0 3 3
2 0 3
2 1 0
2 0 1
10 9
0 2 1
0 2 0
0 1 2
1 1 2
2 0 0
1 0 2
1 2 0
1 0 0
2 2 1
2 2 0
10 3
2 3 2
3 2 3
2 1 3
0 2 0
2 0 2
1 1 2
2 1 0
1 0 3
0 0 2
3 1 2
10 6
2 0 0
1 2 2
2 2 1
2 1 2
0 1 2
0 2 2
2 1 0
1 1 0
2 0 2
2 1 1
10 6
2 1 0
3 1 2
0 2 3
3 2 1
0 1 0
1 2 1
2 1 1
0 2 2
3 2 2
3 0 0
10 9
3 3 5
2 2 1
0 4 0
4 1 5
0 3 3
5 5 5
5 5 4
5 3 4
5 0 0
4 2 5
10 9
1 2 0
1 2 1
2 1 2
0 0 0
1 1 0
0 2 0
2 2 1
0 1 2
1 1 2
2 2 0
10 9
3 1 2
1 2 3
0 0 3
2 3 1
1 3 1
0 2 2
3 2 3
2 0 2
0 0 0
2 2 0
10 4
2 2 1
2 1 3
1 3 3
1 0 0
3 3 2
3 1 3
0 3 3
1 1 1
3 0 1
3 3 0
10 8
2 3 0
0 3 0
1 1 0
1 2 1
0 3 2
1 2 2
2 1 3
0 0 2
1 0 2
0 2 1
10 7
5 1 0
4 0 1
4 4 1
1 4 1
0 1 0
2 0 0
1 1 2
2 4 4
1 3 4
1 5 1
10 5
1 3 3
3 3 0
1 2 1
2 3 3
2 0 0
1 2 3
0 0 2
1 0 2
1 1 2
2 1 0
10 2
1 1 1
1 0 4
3 4 1
0 1 2
5 0 1
3 3 2
4 4 1
4 1 4
2 0 5
5 5 0
10 9
0 0 0
0 1 0
1 0 1
0 2 2
2 0 2
0 0 1
2 0 1
2 1 0
0 1 2
1 1 2
10 8
2 4 4
4 1 1
4 0 1
4 3 5
5 1 3
2 3 4
1 3 0
2 4 2
4 5 5
3 4 2
10 8
3 0 4
0 5 0
0 0 3
2 3 4
5 4 3
0 3 2
1 5 3
5 2 1
0 5 5
4 3 0
10 4
1 0 1
3 2 3
2 1 1
3 0 1
2 2 2
0 0 2
0 3 2
1 2 3
1 1 0
3 2 1
10 8
5 0 5
0 3 2
2 4 0
0 4 5
1 4 3
3 5 1
4 3 0
2 3 5
0 5 1
2 5 2
10 8
0 2 1
0 1 3
1 0 4
2 4 4
4 0 4
0 0 0
1 1 0
2 1 2
2 2 0
1 4 4
10 2
2 1 1
0 1 1
2 2 0
2 0 1
2 0 0
0 1 0
1 2 2
2 2 2
0 0 0
2 1 2
10 8
1 0 1
2 0 1
2 1 0
2 0 0
1 1 0
0 1 1
1 2 1
0 2 0
1 2 2
0 1 2
10 9
4 1 1
0 3 0
2 0 4
5 0 3
0 0 4
2 1 5
1 4 5
5 1 2
2 0 1
3 1 4
10 4
3 3 0
2 0 1
0 3 0
0 3 2
3 3 1
2 2 3
2 0 3
2 3 3
0 0 2
2 2 1
10 5
1 2 2
2 2 0
2 1 2
1 1 1
2 1 1
2 0 0
2 0 2
1 1 2
0 1 0
2 2 2
10 6
1 3 1
1 3 2
1 2 2
1 2 1
2 2 1
3 3 1
3 1 1
0 2 2
0 3 1
3 3 3
10 8
0 2 4
1 4 4
4 4 0
1 1 2
0 2 2
4 4 2
4 2 4
4 3 1
2 3 2
2 1 3
10 6
0 3 3
0 2 5
5 5 4
1 2 4
1 4 4
5 1 4
4 4 2
2 4 4
0 5 3
3 2 1
10 4
0 2 2
2 1 0
2 0 2
2 2 2
1 0 1
0 1 0
1 2 0
1 1 2
1 0 2
0 0 2
10 7
2 1 0
2 2 2
0 2 0
1 1 2
0 0 0
2 2 1
0 1 2
0 1 0
2 2 0
0 0 2
10 9
1 5 4
0 1 1
1 5 1
0 5 5
4 2 0
5 3 1
5 0 3
0 3 2
5 1 4
2 1 0
10 8
4 2 1
4 1 0
3 0 4
3 2 4
0 4 1
4 2 3
0 0 4
4 3 3
2 4 2
2 0 4
10 9
0 1 0
4 1 0
0 3 3
2 2 0
1 3 4
0 1 3
3 1 2
0 3 1
2 0 4
1 0 4
10 2
2 0 4
1 4 1
4 3 1
0 3 0
2 3 3
4 2 0
1 1 3
2 2 2
3 1 0
2 1 2
10 3
1 1 2
1 0 2
1 0 0
2 2 1
1 2 0
0 0 0
2 1 1
1 2 1
1 2 2
2 2 2
10 3
1 2 3
2 2 1
1 0 2
0 3 0
3 3 3
3 0 1
1 3 1
0 0 0
3 3 1
2 3 1
10 5
2 0 2
1 2 0
0 0 0
2 1 1
2 2 2
0 2 1
1 0 0
2 1 0
1 2 2
0 1 1
10 6
2 1 2
2 1 1
0 1 3
0 2 0
1 0 2
2 2 0
3 1 1
3 1 2
1 0 0
1 1 2
10 4
4 5 1
5 1 3
2 4 3
2 0 3
4 0 3
5 0 4
4 1 5
4 4 1
3 4 0
4 4 4
10 9
1 2 0
2 0 1
0 2 1
1 2 2
1 1 1
0 0 1
0 1 2
0 0 2
0 2 0
2 0 2
10 9
2 1 0
2 0 2
2 2 1
0 1 2
2 1 2
0 2 0
1 1 2
0 0 2
1 1 0
2 1 1
10 4
1 2 0
1 1 2
2 0 0
1 1 1
2 1 1
1 0 2
0 2 1
1 2 1
0 1 0
2 0 2
10 6
5 4 2
2 3 4
4 4 3
2 5 5
5 5 4
3 3 0
5 1 2
5 3 5
3 2 0
0 4 5
10 6
1 2 1
2 2 1
1 2 2
2 2 0
0 2 1
0 0 2
1 0 2
1 1 0
2 1 1
1 1 2
10 9
1 0 0
2 2 1
1 0 1
2 1 2
0 0 0
0 0 1
2 2 0
1 0 2
1 1 0
2 0 2
10 5
3 2 3
2 2 3
3 3 3
3 0 3
0 0 2
2 2 4
4 3 1
2 1 4
2 1 2
4 4 0
10 9
2 0 0
2 0 2
0 1 0
1 1 0
2 1 0
0 0 1
0 1 1
1 0 0
1 2 1
0 2 0
10 4
3 2 1
0 0 0
4 4 0
0 0 2
5 4 2
3 3 0
3 5 2
1 4 5
0 4 1
0 5 2
10 3
3 4 0
2 0 2
3 4 2
3 3 5
1 3 0
2 1 2
5 3 5
5 4 2
3 1 3
5 3 4
10 4
2 0 1
2 0 0
0 1 2
2 1 1
2 0 2
2 1 0
1 0 1
0 2 0
0 2 1
0 1 1
10 5
1 1 4
4 4 4
1 2 2
0 2 3
2 0 3
0 3 4
3 1 3
0 0 4
2 4 4
1 0 3
10 8
3 1 1
0 2 1
2 2 0
1 3 0
1 3 1
2 3 3
0 1 0
1 2 3
3 3 1
1 0 3
10 9
1 2 4
3 2 0
2 4 1
2 3 2
0 3 4
2 0 2
2 2 4
0 1 4
2 1 2
3 2 2
10 5
1 4 2
2 4 4
1 4 4
2 4 3
3 2 4
0 1 1
4 1 2
1 3 4
4 0 0
3 2 2
10 7
1 0 2
2 4 1
4 1 3
4 0 3
3 3 4
1 2 0
0 2 4
1 1 0
4 2 1
0 0 0
10 4
0 0 2
0 1 1
1 0 1
1 1 2
1 1 1
1 0 2
0 2 0
0 0 0
2 1 2
1 0 0
10 7
2 3 5
5 2 5
4 4 4
1 3 4
5 0 1
1 1 3
5 3 1
1 2 3
4 0 5
0 0 1
10 4
0 0 2
3 1 1
1 1 0
0 1 0
2 3 0
2 3 3
3 2 3
3 0 3
3 2 1
0 2 1
10 4
2 0 0
1 1 5
4 1 5
5 3 5
4 5 2
2 0 1
0 3 1
5 2 4
4 3 1
5 0 5
10 8
3 0 0
3 4 0
4 0 1
0 1 3
0 1 0
2 2 2
3 4 1
3 0 3
1 0 4
4 2 2
10 7
1 2 1
2 1 1
0 0 2
2 0 0
1 2 0
2 0 1
0 0 0
1 0 2
0 2 1
1 1 0
10 2
0 2 0
1 2 1
2 2 0
2 1 1
0 0 1
0 1 1
2 2 1
1 0 2
1 0 0
2 1 2
10 8
0 1 1
2 0 3
3 2 2
2 2 3
0 3 2
3 1 1
2 1 0
0 1 3
3 3 2
3 0 1
10 8
0 1 0
0 2 1
0 2 0
0 1 1
2 2 1
1 1 2
1 1 0
1 0 1
2 1 0
0 2 2
10 5
3 5 4
0 2 0
4 1 3
2 1 4
5 5 0
1 4 4
4 4 5
0 1 2
0 1 1
2 2 5
10 2
0 4 5
3 3 5
0 4 3
0 3 2
3 5 3
5 3 5
0 5 0
2 4 5
4 1 3
0 5 2
10 4
2 2 0
2 2 1
2 0 1
1 0 2
2 1 2
2 1 1
0 1 2
1 1 0
1 0 1
0 0 2
10 7
2 3 2
3 2 3
0 2 0
2 0 0
3 3 1
2 2 2
0 2 3
2 3 3
3 2 2
3 1 1
10 9
3 3 0
0 2 2
3 0 0
2 2 2
2 3 3
1 3 0
3 0 1
3 2 3
2 3 1
1 1 3
10 4
1 2 1
0 5 4
1 3 4
4 3 3
2 2 1
1 2 2
4 0 4
2 5 2
3 3 2
0 0 2
10 8
0 2 1
2 2 2
1 2 1
1 0 0
0 0 1
2 1 0
0 1 0
0 2 0
1 1 1
1 1 2
10 6
4 0 4
4 1 0
2 3 0
0 4 2
3 1 0
3 0 4
4 0 1
3 4 0
5 5 4
3 4 4
10 3
1 3 1
3 4 0
3 4 2
0 4 1
0 0 4
3 1 3
1 4 4
2 4 1
0 3 1
2 0 1
10 7
4 2 5
2 3 0
5 0 5
1 2 1
3 0 2
2 3 4
1 1 3
5 3 1
2 2 3
3 2 3
10 4
0 3 1
0 3 3
3 3 0
2 2 2
3 2 2
3 2 1
3 2 3
0 1 3
1 1 2
0 1 1
10 5
2 1 1
0 0 1
2 0 2
1 1 2
1 0 2
1 2 2
1 0 0
0 0 0
0 0 2
2 2 2
10 7
0 0 0
0 1 0
1 1 4
2 1 0
2 1 3
0 3 0
4 2 0
1 1 2
2 2 4
0 0 4
10 5
2 3 3
0 0 2
1 2 1
3 0 2
2 1 0
1 0 1
1 0 2
3 0 1
3 0 3
3 3 3
10 4
2 4 3
4 1 3
2 3 1
4 1 0
1 0 2
0 4 4
1 4 0
1 4 2
0 3 2
2 0 1
10 7
1 1 1
1 1 2
2 0 1
2 1 0
1 0 1
2 1 2
2 2 2
2 2 0
2 2 1
1 2 2
10 4
2 2 2
0 0 1
2 0 1
1 1 2
0 0 2
1 1 0
0 1 2
1 0 0
2 0 0
1 1 1
10 2
3 0 2
3 0 1
3 2 0
3 2 3
3 0 0
3 1 2
1 1 1
1 3 1
1 0 3
2 0 1
10 3
0 2 0
2 0 0
0 4 4
1 2 3
0 2 5
4 3 5
2 2 1
0 0 1
5 4 2
3 5 4
10 9
2 3 0
0 2 3
3 1 2
0 3 2
2 0 0
0 3 3
2 1 2
2 2 3
1 1 3
3 0 2
10 5
0 2 1
1 2 0
1 0 1
3 2 1
1 3 0
2 1 1
0 2 3
2 0 3
2 2 3
1 2 3
10 9
0 4 3
4 1 4
3 4 2
2 1 0
1 1 0
3 2 0
0 4 2
1 0 3
1 0 1
4 3 4
10 3
2 1 2
2 1 0
0 1 0
1 1 0
0 0 2
1 2 1
1 2 2
2 0 2
2 0 0
1 0 1
10 7
2 4 2
1 0 2
5 0 1
0 4 0
2 0 1
2 2 4
1 4 0
2 3 2
3 5 3
4 2 0
10 3
3 0 3
3 4 2
0 2 4
4 4 0
4 0 1
1 2 2
1 4 4
4 3 2
0 0 4
2 4 4
10 2
2 2 0
0 3 3
3 3 2
1 3 0
1 0 2
1 3 2
2 3 0
2 1 0
0 2 1
3 0 3
10 2
2 0 3
0 3 1
0 0 3
1 3 4
1 2 2
3 4 3
0 4 1
5 5 0
3 3 1
2 0 1
10 5
2 2 1
1 1 3
1 3 2
4 2 0
2 4 1
0 2 0
3 2 2
1 3 4
1 1 0
4 2 2
10 7
1 4 5
2 5 1
4 3 2
3 0 3
0 4 2
0 2 5
0 3 4
1 5 0
2 2 5
0 4 3
10 5
2 3 1
3 0 1
0 2 0
2 2 1
2 1 2
2 1 3
2 1 1
1 3 3
0 1 0
1 1 1
10 6
0 0 4
4 4 0
0 1 2
2 2 0
0 1 3
2 1 2
1 4 2
3 4 2
4 4 4
4 0 0
10 5
0 4 4
1 4 3
2 2 1
2 1 2
4 1 0
0 2 2
1 1 0
4 1 1
3 1 0
2 4 2
10 8
4 2 0
1 3 0
4 0 1
0 3 2
0 2 1
3 3 3
4 0 4
3 1 2
2 2 2
4 1 0
10 5
2 1 5
2 5 0
0 3 4
3 4 0
1 4 4
1 3 5
5 1 5
5 0 0
1 2 1
2 2 4
10 2
5 4 1
1 2 5
3 1 5
3 4 1
4 3 5
0 5 4
1 5 5
1 5 3
5 3 4
4 1 4
10 6
2 2 0
0 0 2
1 1 0
1 2 2
0 0 0
1 2 1
0 2 1
2 2 1
1 0 1
1 1 1
10 8
2 2 2
2 1 1
0 2 0
1 1 2
1 0 1
0 1 0
0 1 2
1 2 1
2 1 2
0 0 1
10 4
3 2 0
0 3 2
2 3 1
3 0 0
1 0 0
2 1 0
2 1 1
3 2 2
0 2 3
2 3 2
10 6
3 3 4
4 0 0
4 3 2
1 4 0
0 5 4
2 5 3
1 5 3
3 3 2
3 0 4
2 4 0
10 4
5 2 3
1 3 2
4 3 5
3 0 3
4 0 2
3 3 0
4 4 5
1 2 1
0 4 5
1 4 0
10 6
2 3 3
2 0 3
0 4 2
1 0 3
4 3 3
0 0 0
1 0 2
3 3 1
3 2 4
4 0 4
10 4
3 2 3
1 5 4
0 1 5
4 3 5
0 3 2
2 0 4
2 3 1
5 2 3
4 5 4
3 3 3
10 6
4 0 1
3 0 2
4 4 3
3 2 2
4 0 2
4 2 2
2 1 4
3 1 2
4 0 4
4 1 2
10 9
4 4 0
2 3 3
4 2 3
0 2 3
0 3 0
1 1 2
2 0 4
4 0 4
1 3 2
3 1 4
10 3
3 3 1
1 1 3
2 2 2
2 0 0
1 3 1
2 1 0
3 0 1
2 3 3
3 2 3
0 0 0
10 5
2 1 1
1 1 1
2 2 1
1 1 0
0 0 1
2 2 2
0 2 1
1 2 2
0 1 0
1 0 2
10 9
2 3 2
1 2 3
3 0 3
3 3 0
0 1 2
0 0 3
1 0 2
2 3 3
1 0 3
2 1 3
10 2
2 3 4
1 0 0
0 3 0
0 1 0
2 1 0
4 3 1
2 4 3
4 4 4
2 3 0
0 2 2
10 9
1 2 0
1 2 1
0 1 1
2 2 2
0 0 0
1 2 2
2 0 2
2 1 1
1 0 1
1 1 2
10 8
0 2 0
1 0 1
0 1 2
2 1 2
0 1 1
2 2 1
0 0 2
1 2 1
0 2 1
2 0 2
10 5
5 3 4
0 4 2
3 2 1
4 5 5
5 0 1
0 4 1
1 3 1
4 5 3
2 1 2
0 2 4
10 9
2 4 4
2 2 0
0 1 1
1 0 1
0 4 3
4 4 4
3 3 3
4 0 3
1 0 0
2 2 1
10 5
2 2 1
2 2 3
2 0 1
2 1 1
1 3 0
3 0 2
1 0 1
3 0 1
0 1 2
3 1 0
10 3
2 4 1
0 3 0
1 3 3
0 2 4
0 4 0
4 3 4
2 1 3
4 4 1
2 4 2
0 4 4
10 9
1 2 2
3 3 1
0 1 1
2 3 1
2 3 3
0 2 3
2 0 0
0 1 2
2 3 2
1 3 2
10 3
0 3 0
5 1 0
2 3 0
1 1 2
4 0 3
4 1 1
4 0 4
1 0 5
2 4 5
4 5 1
10 4
1 2 0
3 1 3
1 3 3
1 2 1
0 0 1
3 0 0
3 1 2
1 3 2
2 3 3
0 2 0
10 3
1 1 0
2 1 0
1 2 0
1 2 2
0 1 1
3 2 3
3 0 3
3 0 2
2 1 1
1 1 3
10 9
5 4 5
2 1 3
5 5 4
2 4 4
3 3 0
1 5 4
2 4 0
1 4 4
2 2 2
3 3 4
10 4
3 2 2
3 0 2
2 0 1
1 2 3
1 3 0
3 2 0
0 0 2
3 3 0
0 2 1
2 2 3
10 5
2 1 0
1 4 2
2 4 4
5 0 5
2 3 3
0 5 1
4 5 4
3 5 1
1 5 0
4 0 0
10 6
2 1 1
1 3 3
4 1 3
2 1 3
2 3 2
1 1 2
0 1 3
1 0 1
3 4 3
2 1 4
10 3
4 1 0
3 1 5
0 4 4
2 0 3
0 5 0
5 3 5
2 5 3
5 0 4
0 4 0
4 3 0
10 9
0 0 2
1 0 1
1 0 2
0 0 1
0 1 2
2 1 2
0 1 0
2 0 1
0 2 0
0 2 2
10 5
2 5 0
5 4 4
5 3 3
5 1 0
4 3 2
0 4 0
3 2 5
5 4 2
1 4 0
3 0 4
10 7
0 0 1
1 2 5
3 4 4
0 2 3
2 0 2
5 5 4
1 0 5
5 2 4
2 1 1
5 3 4
10 5
2 0 2
2 3 2
0 0 1
2 4 3
3 2 3
4 0 1
1 2 3
1 0 3
1 4 2
1 4 1
10 9
4 0 4
1 3 4
3 0 0
4 2 2
0 2 1
5 0 4
0 3 3
1 4 3
4 4 1
2 0 1
10 5
1 0 0
0 1 2
1 2 1
0 1 0
2 0 2
0 1 1
1 0 2
2 1 2
0 2 2
2 2 1
10 4
4 4 0
4 2 0
4 3 2
2 4 0
4 3 4
3 0 2
0 1 0
0 4 2
2 1 0
0 2 4
10 3
1 1 0
3 3 2
3 2 2
2 0 2
4 1 1
2 3 3
1 1 4
1 1 3
2 3 1
2 0 0
10 9
0 2 1
2 0 0
1 1 2
4 4 1
0 1 2
1 2 3
0 3 4
3 2 3
1 3 4
2 4 2
10 3
2 4 3
2 3 1
3 5 3
1 4 0
2 0 5
2 2 3
3 3 0
0 0 1
5 5 5
4 0 5
10 5
1 2 2
0 0 1
1 2 1
2 0 2
0 2 2
0 0 0
2 2 1
0 1 0
0 2 0
2 1 1
10 8
2 1 3
1 0 1
1 1 3
3 2 2
0 0 2
2 3 3
0 3 2
3 3 3
2 1 1
3 0 3
10 3
5 2 2
0 1 3
3 3 4
3 2 2
4 5 4
1 5 5
2 2 4
5 4 4
0 1 5
1 5 4
10 8
2 3 2
1 0 0
0 3 1
2 2 0
3 1 2
1 3 2
2 1 3
0 2 2
1 1 0
0 1 3
10 8
0 1 1
1 1 2
0 2 0
0 0 0
2 1 2
0 0 2
1 2 0
1 0 1
1 1 0
0 2 2
10 2
2 0 1
2 2 1
1 1 0
0 1 2
2 2 0
1 2 1
2 2 2
0 0 2
2 1 0
0 2 1
10 6
4 1 3
4 3 1
4 2 4
3 0 2
2 4 2
3 0 3
2 4 3
2 3 0
1 2 1
1 2 0
10 5
1 2 0
0 3 3
2 1 1
2 1 3
3 0 0
0 0 3
2 3 2
3 3 0
3 3 1
0 2 0
10 3
2 0 1
1 1 1
2 1 2
0 2 0
0 2 2
1 1 0
2 2 1
0 0 2
2 2 0
0 1 1
10 5
0 1 3
1 1 1
2 0 3
0 2 0
0 3 0
2 1 1
0 2 1
0 3 2
1 2 1
1 3 1
10 3
2 0 1
3 5 0
4 3 5
0 4 0
4 2 0
1 5 5
5 3 0
1 1 0
2 1 2
5 4 2
10 4
1 0 1
0 0 0
0 1 1
2 2 1
1 1 1
1 0 2
1 1 2
0 1 0
1 0 0
1 2 0
10 8
4 3 1
4 1 4
3 4 3
4 0 1
4 2 0
3 0 4
1 0 2
3 2 4
2 4 2
1 4 0
10 4
2 2 2
1 1 1
1 0 1
0 0 1
1 2 0
2 1 2
0 1 1
0 1 2
1 2 1
0 1 0
10 5
2 3 2
2 1 2
0 2 4
2 3 1
3 0 0
3 3 4
3 0 1
0 4 0
0 2 0
1 3 4
10 6
3 2 5
3 4 5
0 3 0
2 3 4
2 4 4
0 1 1
4 1 5
5 2 4
5 4 3
4 3 4
10 7
5 1 1
1 1 5
4 1 4
5 3 5
4 0 2
5 4 1
3 0 1
0 0 5
3 5 4
4 2 1
10 9
1 3 2
0 0 0
1 2 1
3 3 3
2 3 1
0 0 2
2 1 0
3 1 1
2 2 0
3 0 3
10 8
3 2 1
2 2 2
3 0 0
2 0 3
2 3 3
0 1 2
3 1 0
2 2 0
0 2 0
0 3 2
10 5
3 1 2
0 2 3
0 3 1
3 1 3
3 1 1
3 3 1
1 1 0
2 0 1
1 1 3
1 3 1
10 2
0 2 5
4 0 3
0 1 3
4 4 0
4 1 5
4 4 2
0 2 0
2 0 1
1 3 2
1 2 2
10 9
5 0 2
4 4 3
5 5 5
0 3 1
3 5 1
5 3 1
1 2 0
2 5 2
2 5 1
5 0 0
10 2
2 4 4
2 0 4
3 4 4
3 3 0
4 2 0
4 4 1
3 0 2
0 0 2
0 1 4
0 1 1
10 7
2 0 2
1 2 1
3 0 0
0 1 2
3 4 2
0 2 0
0 2 4
4 4 3
0 3 1
2 3 2
10 8
3 1 3
3 1 0
3 0 0
1 0 0
0 0 3
0 2 3
0 1 2
3 0 3
2 3 3
2 3 2
10 6
0 3 1
2 1 0
3 1 2
1 3 3
2 1 2
2 3 2
3 0 1
3 3 3
0 1 3
0 0 0
10 9
0 0 0
2 0 0
2 0 2
1 2 1
2 1 1
2 1 2
2 2 0
0 0 2
1 1 1
1 0 2
10 4
2 0 0
1 0 2
2 2 1
2 1 0
0 2 1
2 0 1
2 1 2
1 0 0
1 2 1
2 0 2
10 4
1 1 1
0 0 2
2 2 0
2 1 1
1 1 2
1 2 2
1 2 0
2 1 0
1 0 2
2 0 2
10 8
2 1 1
1 0 2
1 1 2
2 2 2
2 0 2
0 2 1
0 2 0
0 0 2
0 1 0
1 2 1
10 5
0 0 1
1 2 1
0 1 0
1 2 0
2 0 0
1 1 1
2 2 1
2 1 1
0 2 0
1 1 0
10 4
0 4 3
3 0 3
4 0 1
2 4 2
0 3 4
2 2 0
0 0 2
3 1 2
2 3 4
3 2 1
10 7
4 4 4
4 5 4
2 5 3
3 1 3
0 4 3
4 4 3
3 2 1
4 4 1
2 1 1
1 3 5
10 9
0 1 0
2 2 1
2 0 2
1 1 3
0 3 2
3 0 3
0 2 1
2 1 1
0 2 2
3 2 0
10 3
0 3 2
1 2 3
3 0 2
1 3 3
3 2 3
1 1 0
1 1 2
0 2 3
3 2 0
2 3 0
10 9
2 2 1
1 4 1
2 3 0
0 4 3
3 2 3
1 4 2
3 3 3
1 1 4
3 0 3
4 4 4
10 2
4 0 1
0 0 1
1 4 3
4 1 5
1 1 2
1 2 4
0 3 2
1 2 1
2 0 2
3 2 4
10 4
0 3 2
3 2 2
0 0 0
1 0 0
1 1 3
2 3 2
1 3 1
3 1 1
0 0 2
1 0 3
10 8
0 0 0
2 1 1
1 0 0
0 2 1
2 2 2
2 0 2
0 0 1
0 1 0
2 2 1
2 0 0
10 9
3 0 2
3 3 2
3 0 3
1 1 2
2 2 1
1 3 0
2 3 3
1 3 1
2 1 1
3 3 3
10 9
4 3 4
4 2 4
4 2 1
4 4 0
0 0 0
2 1 3
3 4 0
2 0 0
4 0 1
0 2 2
10 8
2 1 0
4 3 4
3 1 3
2 3 4
2 0 2
2 2 3
1 1 0
1 4 2
4 0 0
4 2 4
10 4
1 1 1
0 3 3
0 3 0
3 3 0
3 2 3
3 0 3
2 3 2
0 1 2
3 1 3
2 1 0
10 5
1 2 3
2 2 0
0 2 1
1 0 3
3 2 3
3 0 1
0 2 0
0 2 3
2 3 3
3 0 0
10 7
2 0 3
3 2 3
2 2 0
0 3 0
0 0 3
1 2 3
3 0 3
0 0 2
2 0 1
0 2 1
10 2
1 1 2
1 4 1
4 4 3
4 0 2
0 1 4
0 2 3
1 1 1
0 4 0
3 0 3
2 0 3
10 3
2 2 3
2 0 1
2 2 2
1 4 3
2 2 0
1 2 0
0 2 0
2 1 1
2 4 3
1 4 0
10 8
2 3 0
1 2 3
1 1 2
0 1 0
3 1 0
1 0 3
1 1 3
1 0 0
0 1 2
2 2 1
10 9
1 3 4
5 1 2
1 1 3
2 2 3
3 1 5
3 5 2
0 3 1
2 3 3
3 3 1
5 5 5
10 2
1 1 3
1 1 0
3 1 0
2 1 0
1 0 2
3 0 0
1 3 1
2 3 2
2 3 1
1 2 3
10 5
0 2 1
1 1 2
2 0 0
1 0 1
1 2 1
2 1 2
1 2 0
1 0 2
2 0 2
2 2 0
10 4
3 3 4
4 2 2
3 4 3
1 2 0
2 1 1
3 2 4
4 2 0
1 0 2
1 4 4
1 2 3
10 9
1 2 2
1 1 0
0 0 1
0 2 1
1 0 2
0 1 1
2 2 2
1 1 2
2 0 2
0 1 0
10 4
3 0 1
3 1 2
2 2 1
2 0 0
1 0 0
0 0 1
0 3 0
0 3 1
1 3 2
1 2 2
10 6
0 0 0
3 2 1
0 3 2
2 2 0
1 1 3
1 1 2
2 1 1
0 0 3
3 3 0
3 2 3
10 5
2 0 2
1 1 2
0 0 1
1 1 0
1 2 2
0 1 0
2 2 2
1 1 1
0 2 2
0 0 0
10 4
1 1 2
0 0 1
1 2 0
1 0 1
0 0 2
0 1 2
2 0 0
0 0 0
0 1 0
2 1 1
10 5
3 2 2
1 1 3
2 2 5
4 1 3
3 4 0
3 4 1
4 2 2
4 2 1
4 5 3
4 0 0
10 9
3 1 2
2 3 3
4 1 4
0 0 2
0 3 4
2 2 3
4 1 1
0 2 2
2 1 2
2 1 4
10 3
1 0 1
2 0 3
0 2 0
3 1 3
0 0 0
1 2 2
0 2 1
2 0 0
0 1 3
3 2 3
10 8
0 0 0
1 1 0
1 1 1
1 2 2
0 2 1
1 0 1
0 0 2
2 0 1
0 1 2
0 2 0
10 2
2 4 0
0 1 4
5 0 5
1 3 2
3 2 2
2 4 5
4 5 5
4 3 4
0 5 3
0 1 0
10 6
1 0 2
2 4 0
2 0 3
4 4 2
4 4 1
2 4 3
2 4 1
1 0 0
0 2 4
0 3 1
10 8
4 2 0
0 3 4
4 4 0
3 4 4
2 3 3
2 4 5
2 3 1
0 1 2
1 5 3
4 1 2
10 8
3 2 3
4 1 0
3 4 0
4 3 3
3 3 0
4 2 5
3 5 3
0 0 3
3 5 1
5 4 5
10 4
1 4 3
4 1 1
1 1 3
1 1 4
3 1 1
2 0 2
4 3 3
1 0 1
4 0 4
0 3 1
10 9
3 1 3
0 1 4
3 0 3
0 3 4
2 0 0
0 3 2
2 2 3
4 4 2
4 1 2
4 0 0
10 3
4 2 4
1 1 4
1 2 2
0 4 3
4 2 3
3 3 3
0 0 1
0 4 4
2 3 0
0 0 4
10 2
3 0 5
4 4 2
0 2 3
3 2 1
4 4 1
0 5 0
3 5 4
2 0 4
1 3 5
0 0 3
10 5
3 1 2
3 2 2
0 0 0
1 4 4
0 4 4
3 3 3
1 3 3
4 4 3
1 4 3
3 2 0
10 6
3 1 1
3 2 1
3 1 0
3 3 1
3 0 3
2 3 1
1 2 1
2 2 2
2 1 0
2 3 0
10 7
1 2 3
0 1 3
2 0 0
2 0 2
1 0 2
2 2 2
1 3 1
1 2 0
1 3 3
2 1 1
10 4
2 1 2
1 1 1
1 0 2
0 1 2
1 0 1
0 0 2
0 1 1
0 0 0
1 2 1
2 1 1
10 5
0 1 1
3 2 0
2 1 2
3 0 3
2 0 2
2 1 1
1 3 2
2 1 0
3 0 2
2 1 3
10 3
2 1 0
2 0 2
1 2 0
0 1 1
0 1 0
2 2 2
2 2 0
1 0 0
2 1 1
1 1 0
10 3
4 0 1
4 4 1
0 0 0
1 2 2
4 0 2
1 3 1
2 2 4
1 1 3
0 2 4
3 2 2
10 8
0 3 0
0 4 0
1 3 4
3 3 3
3 1 2
2 2 2
4 0 3
1 1 1
0 0 0
2 1 0
10 7
2 0 2
1 1 1
2 1 0
2 2 2
0 1 2
0 1 0
0 2 2
2 0 1
1 2 2
0 2 0
10 9
2 4 2
4 2 3
0 1 4
0 3 5
0 4 5
2 1 2
2 1 5
2 5 2
3 1 4
0 4 4
10 8
4 3 0
0 2 3
4 0 4
0 3 1
2 3 2
3 4 3
1 4 3
0 3 4
4 1 3
1 2 4
10 9
3 2 1
0 2 4
4 3 0
1 1 4
2 3 0
0 4 1
2 2 2
0 3 1
4 1 4
0 3 3
10 4
2 1 1
0 1 1
2 0 2
1 0 1
1 1 1
1 0 2
1 2 1
0 1 0
2 2 0
2 1 2
10 3
3 2 5
0 1 3
0 5 2
5 2 5
1 4 0
1 5 2
5 0 2
4 2 4
5 4 5
5 4 0
10 4
0 1 1
2 0 0
1 0 2
2 2 1
0 0 0
0 2 0
1 2 1
2 0 2
2 1 2
1 2 0
10 6
0 1 0
3 1 3
4 4 0
2 4 3
0 0 3
1 2 3
1 0 2
1 4 1
4 3 1
3 2 1
10 3
3 2 3
1 0 0
3 3 3
2 2 3
3 1 0
3 0 1
3 0 2
0 2 3
3 0 0
3 2 2
10 7
1 5 1
1 0 1
0 5 1
5 0 3
0 0 3
2 4 2
0 4 0
2 2 5
4 1 1
2 4 5
10 6
2 1 3
0 0 2
0 1 2
4 2 2
4 4 2
1 3 3
0 4 0
4 3 0
4 4 3
0 1 3
10 4
1 0 0
0 1 1
2 0 0
1 0 2
0 2 0
2 0 1
0 1 0
1 1 2
2 2 2
0 2 1
10 2
1 1 1
1 2 2
3 2 3
2 0 0
2 2 0
0 1 1
3 3 0
3 3 1
3 1 0
0 2 1
10 4
2 0 2
0 2 0
1 1 0
2 1 1
1 0 0
0 1 2
2 2 2
0 1 1
0 0 1
2 1 2
10 4
0 1 1
2 2 2
0 2 3
0 1 0
1 2 1
2 0 1
0 1 2
2 2 0
3 0 2
3 1 1
10 5
1 2 0
0 1 1
2 0 0
1 1 0
2 2 2
0 0 2
0 0 0
1 0 0
0 2 2
2 2 1
10 7
1 2 2
2 5 0
4 1 1
2 0 2
5 4 2
4 5 5
3 2 2
4 5 2
5 4 4
3 2 1
10 4
3 4 0
0 2 5
2 4 4
3 1 2
2 5 4
0 1 0
1 1 0
2 1 0
2 4 2
2 3 0
10 3
0 0 4
0 4 2
0 0 3
3 2 0
4 0 0
1 2 2
3 0 2
1 2 3
1 0 1
4 4 2
10 2
1 0 4
2 2 0
0 1 2
2 4 2
1 3 0
1 3 3
0 3 1
2 1 2
2 1 1
3 0 4
10 2
0 0 2
3 2 3
2 3 1
3 3 0
1 3 2
0 1 3
2 2 3
0 0 0
2 3 0
0 3 3
10 3
4 4 5
0 5 4
4 5 1
1 4 5
3 2 2
5 3 4
3 2 3
3 3 3
4 1 2
1 5 0
10 2
1 1 0
1 2 0
1 0 2
0 2 0
1 0 1
2 2 0
1 2 2
0 0 2
1 1 1
0 0 1
10 7
1 0 5
5 3 1
5 2 1
0 1 3
1 5 4
4 2 3
0 0 3
3 4 3
1 3 2
1 5 2
10 5
1 0 2
0 1 1
3 2 0
1 1 2
2 3 0
0 1 3
0 0 3
0 2 1
2 2 2
3 3 3
10 7
4 2 1
1 1 4
5 4 3
5 2 4
5 3 4
2 2 3
0 4 5
2 1 3
4 1 2
4 4 4
10 8
4 3 1
3 2 0
3 3 0
3 4 4
2 3 3
4 2 0
2 0 0
2 0 2
2 1 0
0 1 2
10 7
1 1 1
3 1 0
0 3 2
1 3 0
3 0 3
0 0 3
1 0 0
2 2 0
3 3 1
1 3 3
10 9
1 0 2
1 2 1
0 2 0
2 1 0
0 1 1
2 0 1
2 1 2
1 2 0
1 0 0
2 1 1
10 8
2 2 0
2 1 1
2 0 2
1 1 2
2 2 2
0 0 1
1 2 1
1 1 0
2 2 1
2 1 0
10 2
3 1 3
4 5 5
2 5 5
3 2 1
2 4 3
0 0 1
0 4 5
3 1 4
5 5 4
0 0 0
10 5
4 2 1
2 2 3
1 3 3
1 1 4
0 2 1
4 3 2
0 3 1
0 0 1
0 4 3
1 3 4
10 3
0 3 4
0 1 0
4 3 0
3 3 3
1 1 1
4 4 4
3 3 4
1 3 0
4 3 4
4 2 0
10 6
0 0 0
3 3 2
3 2 3
2 2 0
3 1 0
1 3 1
2 2 2
2 1 1
1 1 0
3 2 1
10 5
1 0 1
0 1 2
0 2 1
1 1 1
2 2 1
1 0 0
2 1 2
0 1 0
2 1 0
1 0 2
10 5
0 4 0
5 2 1
0 1 2
1 2 4
5 0 1
1 0 0
2 4 3
1 3 0
4 3 2
3 2 3
10 6
3 0 2
4 4 4
0 4 1
2 1 0
4 0 2
4 2 2
1 1 2
3 3 0
2 0 4
4 1 0
10 4
5 4 2
2 5 4
4 4 2
0 2 4
3 2 1
4 3 2
0 4 0
4 5 1
1 4 5
5 3 0
10 7
2 3 4
2 1 4
0 1 4
0 3 0
4 1 3
1 3 3
4 3 0
4 0 4
4 2 0
1 2 3
10 7
4 0 1
0 2 0
1 2 1
1 4 0
4 0 0
2 3 2
4 4 2
2 2 0
2 3 1
4 4 1
10 2
1 1 1
0 2 2
1 1 2
0 2 1
1 0 1
0 0 1
1 0 0
0 1 2
2 0 0
1 2 2
10 3
2 0 2
2 1 2
0 2 2
1 0 2
0 1 1
1 1 2
0 0 2
1 2 1
0 1 2
0 0 1
10 9
4 4 0
0 2 4
2 1 0
3 0 1
2 4 1
1 2 2
3 2 3
0 4 0
4 2 1
0 1 2
10 9
2 0 4
1 2 2
2 4 1
1 4 0
3 3 3
0 4 4
0 0 1
1 1 2
4 4 1
2 3 3
10 7
5 0 5
1 3 1
3 4 5
5 1 5
3 4 0
0 1 0
5 4 1
4 4 3
1 3 4
2 0 1
10 8
0 0 2
2 2 1
0 2 0
0 2 1
1 1 1
1 2 0
1 2 1
1 0 0
2 1 1
2 0 1
10 4
3 2 2
0 2 1
0 1 2
0 1 3
4 0 3
2 4 2
2 4 1
3 1 1
3 1 2
4 1 4
10 8
1 0 1
0 1 2
0 0 1
0 1 1
0 1 0
2 1 1
2 2 1
0 0 2
2 1 0
2 2 2
10 6
0 2 0
0 0 0
1 0 1
1 0 0
1 1 2
0 1 0
2 0 2
1 2 0
1 1 1
2 2 1
10 7
0 0 0
3 1 1
0 2 1
1 2 0
1 3 3
3 2 0
1 3 0
1 1 0
2 2 2
0 1 2
10 3
1 1 1
1 0 2
0 1 2
2 1 2
2 0 2
1 0 1
2 2 2
1 1 2
2 2 1
0 2 1
10 2
1 1 0
3 2 0
3 0 1
1 0 3
2 0 1
0 2 3
1 0 1
0 1 3
0 2 1
1 1 1
10 5
1 2 2
3 1 1
2 1 1
0 1 1
1 3 1
2 1 0
1 0 0
2 2 2
2 1 3
3 3 3
10 4
0 2 0
2 2 1
2 0 2
0 1 1
2 0 1
0 1 0
1 1 1
0 0 0
1 2 0
1 2 1
10 7
3 3 3
4 2 1
3 5 2
1 3 1
0 3 3
5 0 1
4 0 5
2 0 2
1 4 4
5 0 2
10 6
1 0 0
2 0 1
0 0 1
0 2 0
0 0 2
0 1 2
2 1 2
2 0 0
2 2 1
1 1 0
10 9
4 4 0
3 4 4
2 1 3
0 0 4
3 0 1
4 0 4
4 0 0
1 4 3
3 1 0
3 0 4
10 6
3 3 0
3 2 0
2 0 1
3 1 1
3 1 3
1 0 0
3 0 3
1 2 1
0 2 1
0 3 0
10 9
0 1 1
3 3 1
2 3 0
1 2 1
2 2 3
0 1 0
1 1 3
3 0 0
1 3 1
2 1 3
10 8
2 2 2
0 0 0
3 3 2
0 3 3
3 1 1
0 2 2
1 0 2
0 1 1
1 2 1
2 1 0
10 8
1 1 2
0 2 0
0 3 3
3 3 3
0 1 0
3 3 2
2 3 3
1 3 3
0 1 3
1 2 1
10 6
0 0 0
3 1 3
4 3 0
0 4 0
2 2 3
3 4 1
4 4 3
0 2 3
0 0 4
4 1 4
10 4
2 1 0
0 1 3
3 3 1
2 0 2
2 3 2
0 3 2
3 2 1
1 1 2
0 3 0
3 0 2
10 5
1 1 3
3 3 1
3 1 3
3 0 0
0 4 1
4 0 3
1 0 2
0 1 1
4 2 1
1 3 2
10 3
0 2 1
1 0 1
0 0 1
1 0 2
1 1 2
1 1 0
0 0 0
2 2 0
0 1 2
2 1 2
10 7
1 0 0
0 1 0
0 0 0
0 2 1
2 2 0
0 1 1
2 0 0
2 1 0
0 0 1
1 1 0
10 6
4 1 3
4 0 3
3 3 2
0 3 3
1 1 2
5 3 3
5 1 1
0 5 4
3 0 3
3 5 5
10 6
2 1 0
1 1 0
0 1 1
2 0 0
2 2 2
0 2 0
2 1 1
0 0 0
1 2 0
0 2 1
10 5
4 0 1
3 1 3
4 3 4
0 1 1
3 2 1
3 3 0
4 3 3
2 0 2
3 1 2
0 2 1
10 4
0 2 1
1 2 0
2 3 1
2 1 0
1 3 0
1 2 3
0 3 2
3 1 1
3 0 0
2 3 3
10 8
0 2 0
3 1 0
0 1 2
0 0 1
2 2 3
2 0 0
0 3 0
0 0 2
0 2 2
2 2 2
10 9
2 1 2
1 0 2
0 0 2
2 1 1
1 2 0
1 2 2
1 0 1
2 1 0
1 1 0
1 1 1
10 9
2 3 1
3 3 5
4 1 4
4 0 3
4 0 4
5 2 5
5 1 4
4 4 1
4 5 1
4 4 5
10 9
0 0 2
2 0 1
1 1 0
0 1 1
2 2 2
0 0 0
0 2 2
1 0 1
0 0 1
0 2 1
10 9
2 0 0
0 2 2
0 1 2
0 1 0
2 2 0
2 0 2
0 1 1
1 2 2
2 0 1
0 2 0
10 9
3 2 5
2 3 0
3 5 5
4 3 0
2 2 0
1 4 4
4 0 0
3 3 3
2 4 5
1 4 3
10 5
3 2 2
0 0 2
3 1 0
0 3 2
2 2 3
0 3 3
1 2 3
1 3 2
2 0 0
3 3 1
10 5
0 2 0
2 0 1
1 1 2
1 2 0
1 0 0
0 2 2
1 1 0
2 0 2
1 2 1
2 1 0
10 9
2 2 1
0 4 4
1 1 0
0 2 0
2 0 3
0 1 4
3 2 0
1 4 0
1 0 4
4 4 1
10 9
2 1 4
4 0 4
0 3 0
5 4 0
1 2 2
5 1 4
3 5 1
3 2 4
4 0 2
2 4 3
10 3
3 3 0
1 4 2
3 0 2
3 3 1
0 4 2
1 4 4
3 0 0
1 3 4
0 1 0
0 2 0
10 6
2 0 3
3 1 0
1 1 0
3 1 2
2 3 1
0 3 2
3 2 1
3 0 0
0 0 1
2 2 2
10 8
2 3 2
2 2 1
2 4 3
3 1 2
1 4 0
2 3 1
3 3 2
4 3 2
0 2 1
2 4 1
10 4
2 0 2
4 0 0
1 4 3
0 2 1
2 0 0
3 4 3
3 0 3
1 3 3
4 2 3
2 0 3
10 3
5 3 0
2 3 1
0 0 0
1 1 3
3 1 2
3 0 5
4 3 5
1 1 4
1 4 0
3 3 0
10 8
0 1 3
3 2 0
3 2 1
3 0 0
3 1 3
3 0 1
2 0 0
2 1 2
2 2 0
2 3 0
10 2
2 0 1
1 2 2
0 1 1
1 2 0
0 1 2
1 1 1
1 2 1
2 0 2
1 0 0
0 0 2
10 2
3 2 2
3 4 2
2 1 0
1 0 0
2 0 4
4 4 0
4 2 4
3 1 2
1 1 2
2 2 0
10 8
5 1 0
0 0 4
3 0 4
2 0 4
5 5 1
4 0 4
0 1 2
0 3 4
0 2 4
5 0 5
10 4
1 4 3
0 0 2
1 4 0
1 4 1
0 1 1
4 4 1
2 4 0
4 1 1
3 2 0
0 0 1
10 7
3 3 3
0 0 3
3 0 2
4 0 0
3 1 1
3 4 3
3 0 4
3 1 0
0 0 1
0 2 3
10 8
1 0 0
2 2 1
0 0 0
0 0 2
2 0 0
2 2 0
1 2 0
0 1 2
1 2 2
0 0 1
10 2
0 1 2
1 2 2
2 2 0
0 1 1
1 0 1
1 0 2
2 0 0
0 2 2
1 1 0
0 2 1
10 8
5 4 2
4 4 5
0 5 5
5 1 5
0 4 2
4 5 3
5 3 5
4 2 3
2 4 0
1 0 4
10 3
1 4 4
1 3 3
0 1 2
1 2 4
3 2 3
2 4 1
2 2 1
4 3 1
1 0 0
3 4 1
10 9
0 1 1
3 2 2
0 2 0
1 0 2
3 0 3
1 0 3
2 3 0
3 1 3
2 0 0
0 0 0
10 7
1 0 1
0 2 1
1 1 1
0 1 1
1 1 2
2 1 2
0 0 2
1 1 0
2 2 0
2 2 1
10 9
2 1 2
0 3 0
2 2 0
3 1 1
0 2 0
0 2 3
1 1 2
0 2 1
2 3 2
2 3 0
10 4
4 5 3
5 5 0
2 0 0
1 5 0
4 3 3
4 5 0
3 2 1
4 0 0
5 2 0
4 0 4
10 6
0 4 3
2 2 1
1 4 3
2 3 3
2 3 0
3 4 1
4 1 1
1 3 2
2 4 4
3 3 1
10 6
1 1 3
0 2 1
2 2 1
3 3 0
2 3 2
3 3 2
3 0 2
1 0 0
0 3 3
1 3 3
10 4
4 0 1
3 0 4
3 4 1
2 4 1
0 0 2
2 1 3
0 4 0
1 4 4
1 3 1
4 3 4
10 8
4 3 2
0 1 2
0 2 4
1 4 4
0 1 0
2 0 3
0 1 3
0 2 3
4 4 0
0 2 0
10 9
2 0 4
3 3 2
2 5 5
1 2 3
1 2 5
0 1 3
1 3 4
1 1 4
0 2 4
3 3 5
10 2
2 2 0
2 2 1
1 2 0
0 0 0
2 1 0
1 1 1
0 1 0
1 2 1
1 0 2
0 1 1
10 5
1 1 2
2 0 2
1 2 0
1 2 2
0 1 2
2 1 2
0 0 1
0 1 1
1 1 1
1 1 0
10 7
3 3 1
4 4 4
0 4 2
0 4 3
3 4 2
0 2 4
4 1 0
2 3 4
1 4 4
4 1 4
10 2
4 5 0
5 2 3
3 5 2
5 4 3
0 0 2
4 3 0
4 0 5
1 4 2
4 1 1
4 1 2
10 7
0 1 1
4 0 2
1 1 0
2 4 2
3 0 0
4 4 0
4 2 3
1 0 2
3 2 2
3 3 2
10 4
3 4 2
0 0 2
3 3 0
4 4 1
4 3 1
1 2 3
2 0 2
1 1 0
1 0 0
2 0 4
10 9
1 4 0
1 1 1
2 2 2
4 4 1
0 0 3
3 3 1
4 1 3
1 0 1
2 1 2
4 4 0
10 6
3 4 1
0 3 4
5 0 2
1 1 2
0 5 1
2 4 2
2 5 1
4 0 5
0 3 1
4 5 4
10 3
4 3 5
2 5 5
4 0 2
2 4 5
4 2 2
3 5 0
5 5 0
2 0 4
5 2 0
3 5 3
10 8
1 1 1
3 0 2
0 1 1
2 1 2
3 3 3
0 2 3
3 1 1
1 1 3
1 3 3
0 3 3
10 9
3 0 1
1 4 1
3 0 2
4 3 4
2 4 3
0 4 3
4 0 3
4 4 4
3 4 1
1 3 3
10 6
2 3 2
2 2 3
0 0 4
0 0 1
3 0 1
2 2 4
2 4 0
2 3 3
1 1 4
3 1 0
10 6
3 2 2
2 2 3
1 3 0
1 0 1
1 1 3
2 2 0
0 2 0
2 3 3
0 1 0
0 1 1
10 8
3 4 4
1 3 3
1 4 4
4 0 4
4 1 0
3 2 0
1 1 1
0 2 1
1 1 3
2 2 3
10 4
2 5 1
2 1 3
4 1 1
0 2 2
5 4 4
0 5 4
5 3 1
0 5 0
2 4 4
5 2 0
10 6
1 3 1
1 0 1
2 1 1
0 0 0
0 0 2
3 0 0
2 1 2
3 2 3
0 1 3
2 3 3
10 8
2 2 2
1 1 2
2 3 4
0 1 0
3 3 2
3 1 1
2 1 2
3 3 3
4 1 1
3 3 4
10 3
2 2 1
2 2 0
2 1 2
1 1 2
0 0 2
1 2 2
1 0 1
0 2 0
0 1 2
2 0 0
10 9
1 4 1
0 1 0
2 3 1
1 0 2
3 1 3
0 2 4
2 0 3
3 3 0
1 3 1
0 1 4
10 4
0 5 4
4 0 4
0 0 4
2 3 1
3 4 0
3 4 3
0 2 2
0 0 3
5 5 5
0 3 5
10 6
1 0 3
0 0 4
4 4 4
3 2 4
1 1 0
3 3 0
4 3 0
1 2 3
0 0 2
4 4 2
10 4
1 1 4
5 3 1
1 3 0
0 0 1
4 1 5
5 3 0
2 3 4
5 5 5
1 0 5
0 5 0
10 9
3 0 0
2 3 0
3 3 4
4 3 3
0 1 1
3 0 4
3 1 1
4 0 3
0 4 0
1 0 4
10 5
2 1 0
2 2 0
2 1 2
0 1 2
1 2 0
2 2 2
0 1 1
1 1 1
0 2 1
0 0 0
10 4
2 0 0
1 1 2
2 0 2
0 0 1
1 2 2
0 0 2
0 2 1
1 2 0
2 2 2
2 1 2
10 5
2 0 1
2 2 2
1 2 2
1 2 0
1 1 2
2 0 2
1 0 1
2 2 0
2 0 0
1 2 1
10 2
2 3 4
2 2 0
4 2 0
3 2 1
3 3 0
3 4 3
2 3 1
2 4 0
1 2 4
3 2 4
10 5
1 1 0
0 3 4
0 3 3
4 2 3
0 2 4
4 1 0
2 4 3
4 3 0
0 1 1
1 4 3
10 4
4 5 4
2 5 3
5 0 5
3 3 1
0 4 4
0 4 5
4 2 4
1 4 4
2 0 1
0 2 1
10 9
2 1 2
3 3 3
2 1 1
1 3 0
3 3 2
0 2 3
0 1 0
3 0 0
1 2 0
1 1 0
10 3
1 2 1
0 1 0
0 0 1
0 2 0
1 1 0
0 1 1
2 2 0
2 1 0
2 0 0
0 2 1
10 9
3 3 5
3 2 3
3 1 1
0 3 3
1 1 3
3 4 3
1 3 5
2 2 4
0 1 2
2 2 1
10 6
1 1 0
0 1 2
2 1 2
1 2 2
3 3 2
0 0 2
1 0 0
0 3 0
3 3 3
0 3 1
10 3
3 0 4
3 4 3
2 1 3
4 2 4
3 2 4
0 2 0
3 3 3
4 4 4
4 0 3
3 0 0
10 7
3 0 4
0 1 0
1 3 2
3 0 1
0 1 2
4 4 1
3 4 1
2 4 0
3 2 1
3 2 2
10 2
1 5 2
4 4 2
0 0 1
5 3 5
1 1 1
5 3 2
0 1 2
0 5 0
1 5 0
2 1 4
10 5
1 2 2
0 1 2
2 1 1
0 2 1
1 0 0
0 2 2
1 1 1
1 1 0
1 1 2
0 0 0
10 5
3 2 3
4 2 4
1 1 2
4 1 1
1 3 3
2 3 3
2 0 4
0 3 2
4 4 3
1 0 2
10 5
2 1 2
2 1 1
1 0 2
2 0 2
1 0 1
0 2 0
2 1 0
2 2 0
0 2 2
1 1 0
10 5
0 2 1
1 0 0
1 2 2
0 0 0
0 1 1
0 2 2
1 1 2
1 1 1
0 1 0
0 2 0
10 9
3 4 5
3 0 5
5 4 1
4 1 1
2 0 3
5 1 2
5 0 3
4 0 3
2 3 2
1 1 3
10 3
0 3 3
1 1 1
0 1 0
0 2 1
0 0 0
1 0 2
0 1 3
0 2 3
0 0 1
2 1 1
10 8
1 3 2
1 1 1
3 1 2
1 3 0
3 1 1
3 3 3
1 3 1
2 1 1
0 3 3
2 2 0
10 9
0 0 1
2 2 1
2 1 0
2 0 2
1 1 2
1 0 1
0 1 0
0 1 2
0 0 0
0 2 0
10 5
2 1 0
1 3 2
0 3 3
2 1 2
2 1 3
3 0 3
3 0 2
1 0 0
1 1 1
1 1 2
10 4
2 0 0
2 1 1
0 0 0
2 1 0
1 1 1
0 2 2
1 0 1
0 1 1
0 1 2
1 2 2
10 5
3 4 4
2 0 4
1 3 5
4 0 0
2 1 1
2 5 4
3 5 3
1 4 2
4 1 5
5 1 0
10 9
0 0 0
0 0 2
1 0 1
2 0 2
2 2 1
1 1 1
1 1 2
1 2 2
0 1 2
0 0 1
10 8
3 0 3
4 0 2
2 4 3
2 3 2
4 1 0
5 0 4
1 0 0
5 3 5
3 5 0
1 3 5
10 8
5 5 3
2 1 4
3 2 3
1 0 5
1 3 0
5 1 2
2 3 5
0 1 1
1 0 2
4 4 4
10 2
3 0 3
4 5 3
3 1 2
0 4 1
2 4 2
1 3 5
5 4 1
0 3 3
1 4 1
4 2 5
10 5
5 1 3
1 4 1
0 3 4
1 4 3
5 3 2
1 5 2
1 3 3
2 3 1
3 2 2
0 0 1
10 7
0 2 3
2 3 3
3 1 2
1 2 1
3 1 3
0 3 2
0 3 0
2 1 3
2 0 1
3 0 2
10 4
3 4 0
0 3 0
2 4 1
0 2 0
1 3 3
0 4 3
0 0 0
0 3 1
2 2 1
3 2 0
10 9
0 0 2
1 0 1
1 0 2
2 1 1
2 0 1
0 1 2
0 2 2
2 2 2
0 0 0
2 0 2
10 2
5 4 4
3 1 0
5 1 5
0 2 0
2 3 5
3 4 3
4 0 2
5 1 0
3 2 3
3 3 5
10 2
0 3 0
1 3 3
2 3 2
1 1 1
3 3 3
1 0 0
1 1 2
3 1 3
2 3 1
2 3 3
10 5
1 1 3
1 4 0
1 3 4
3 0 4
3 2 4
4 2 1
2 1 4
0 0 3
0 0 4
3 4 0
10 9
0 4 3
2 1 1
1 4 4
3 3 1
4 4 4
1 2 4
0 0 4
3 0 1
1 0 2
0 3 1
10 5
2 0 2
2 1 0
2 1 2
1 1 1
1 2 1
1 0 1
1 0 2
2 2 2
2 2 1
1 1 2
10 3
3 1 2
3 0 2
0 3 3
0 3 0
1 2 3
1 3 0
0 1 3
3 3 0
2 2 1
0 2 3
10 8
0 0 1
1 3 2
1 2 1
2 4 0
3 3 1
4 0 2
0 0 3
4 4 5
3 2 5
0 5 1
10 5
2 0 0
2 1 2
2 1 1
1 1 1
0 2 1
1 0 2
1 0 1
1 0 0
2 2 2
0 0 2
10 9
3 1 2
2 1 2
2 0 0
2 1 1
0 3 3
3 1 3
2 2 1
0 3 2
1 2 2
3 3 1
10 4
1 0 2
1 0 0
2 2 0
2 1 2
0 1 1
2 1 1
2 2 2
2 0 1
2 1 0
1 2 1
10 7
1 2 1
0 1 0
2 1 1
0 2 0
2 0 0
0 0 2
2 2 1
2 1 2
1 0 0
2 2 2
10 8
5 1 1
3 2 0
0 1 0
5 1 3
2 1 3
1 3 0
0 2 2
0 0 2
3 4 0
4 2 2
10 4
5 4 3
5 0 4
5 2 0
0 0 2
5 1 3
1 5 2
4 4 0
4 3 4
2 2 2
5 5 5
10 9
2 2 4
3 1 4
1 4 2
0 1 1
1 0 1
2 4 3
3 0 2
3 2 1
4 4 2
2 3 1
10 5
2 0 1
1 0 0
0 2 0
1 2 1
2 1 1
2 1 0
0 2 2
2 2 1
0 1 0
0 1 1
10 9
0 1 1
2 0 0
4 3 4
0 3 0
3 0 1
1 1 3
3 2 1
1 1 2
0 4 0
0 4 2
10 8
2 3 2
2 2 4
3 1 2
1 2 1
3 2 3
4 1 1
1 0 4
3 2 2
0 4 4
1 4 3
10 9
0 2 1
2 0 1
3 3 3
1 2 3
0 1 2
1 0 2
2 1 3
0 1 0
1 3 0
0 3 0
10 4
2 2 0
1 1 2
0 1 2
0 2 2
0 2 1
1 2 2
0 0 0
1 0 0
0 1 0
0 0 2
10 8
2 1 1
0 0 1
1 0 0
1 1 0
0 1 1
0 0 2
2 0 1
2 2 1
0 1 0
1 2 2
10 7
1 3 1
1 2 2
0 3 4
2 3 2
0 4 2
2 2 0
4 1 1
3 3 4
4 4 1
3 4 0
10 7
1 2 1
0 0 0
0 2 0
0 1 0
2 2 1
2 1 1
0 2 1
1 0 1
2 0 1
1 2 0
10 2
1 2 3
3 1 2
1 3 2
3 1 0
3 3 1
2 1 0
0 2 2
3 0 0
3 0 1
0 1 2
10 8
0 0 0
1 0 0
2 2 2
0 0 1
0 1 0
0 2 2
1 0 2
2 0 0
1 0 1
1 2 1
10 9
3 2 3
5 5 3
4 1 5
0 0 0
3 2 4
0 3 3
3 2 0
5 0 5
2 0 4
3 3 4
10 3
1 3 5
5 1 1
1 2 0
3 4 5
3 4 1
3 4 4
4 1 3
5 4 3
1 5 4
0 2 2
10 3
1 2 1
2 2 1
1 1 2
2 0 0
2 1 0
1 2 0
0 0 2
1 0 0
2 0 1
0 0 0
10 6
4 4 1
5 2 3
3 0 5
4 2 5
4 2 3
4 1 3
0 5 5
1 5 0
4 1 0
0 3 3
10 6
1 3 3
5 5 2
0 5 5
2 2 3
5 4 5
5 3 3
1 5 0
5 0 5
1 3 5
3 4 2
10 7
2 2 3
3 0 1
2 0 2
1 3 1
3 1 0
1 1 1
2 0 3
3 3 1
3 0 0
0 0 1
10 3
0 0 2
2 3 0
1 3 3
2 2 2
3 2 0
1 0 0
0 3 1
3 3 0
2 1 2
1 1 0
10 8
2 2 2
0 4 1
3 0 2
1 2 2
0 3 2
1 3 2
4 2 2
3 4 4
1 0 2
4 1 3
10 3
3 2 2
1 3 2
4 3 4
1 0 4
4 0 4
2 4 4
4 3 0
2 3 4
1 1 1
0 0 1
10 4
2 3 2
0 2 2
4 4 1
4 3 3
0 0 1
2 3 1
2 1 4
0 1 0
0 1 4
3 1 4
10 2
5 4 3
2 3 5
3 5 2
1 2 0
1 3 0
4 4 1
5 3 2
1 0 0
5 5 3
1 1 4
10 3
2 0 3
1 3 2
0 3 2
1 3 3
1 3 1
3 3 1
2 0 0
0 0 2
0 2 1
0 0 3
10 3
3 3 5
4 0 4
4 2 4
0 4 5
4 5 1
0 3 1
2 2 4
4 1 2
3 1 3
0 3 3
10 3
2 0 2
3 2 0
2 1 3
2 1 0
2 3 2
0 0 1
1 1 2
3 3 3
3 2 1
1 3 0
10 9
2 2 2
0 0 0
1 0 2
1 0 1
2 1 0
1 2 1
1 2 2
0 2 1
0 1 1
1 1 1
10 8
2 3 3
1 1 1
3 0 3
0 3 2
2 1 1
1 1 0
1 1 2
2 0 3
0 1 3
1 2 2
10 3
3 0 2
0 2 3
0 1 0
2 3 2
0 1 2
2 2 2
3 2 0
1 1 3
0 0 0
1 3 3
10 8
0 0 1
1 2 0
0 1 2
2 0 2
1 1 0
0 1 1
2 0 1
1 0 0
2 1 1
0 2 1
10 8
2 2 1
1 0 3
0 1 1
4 3 4
3 4 2
1 4 0
0 2 5
4 1 5
3 4 0
4 2 5
10 8
1 0 3
5 1 5
4 2 0
2 3 1
5 3 2
1 4 5
3 5 2
1 2 4
3 5 0
2 1 4
10 8
1 2 2
2 0 0
4 2 3
2 4 1
3 3 4
1 2 1
3 3 2
1 0 2
3 2 0
2 1 0
10 5
2 1 1
0 1 2
2 2 0
1 1 0
0 1 1
0 2 2
0 0 0
2 0 1
0 0 2
2 1 0
10 2
5 2 4
1 2 0
5 3 0
5 5 1
2 2 5
5 2 5
5 3 3
0 5 5
2 3 1
1 3 5
10 6
4 1 1
0 0 3
1 4 4
2 3 2
3 2 4
0 2 2
3 1 4
4 4 4
3 4 4
4 1 4
10 8
3 2 0
3 4 0
2 3 1
0 3 0
4 1 3
0 2 4
2 2 4
0 0 0
2 4 3
4 0 4
10 4
2 1 1
0 2 0
0 2 1
1 2 2
1 0 2
3 2 2
2 2 2
2 3 2
0 3 3
0 1 0
10 6
0 2 1
0 3 0
1 4 2
5 5 5
5 0 0
2 5 1
1 3 5
5 1 0
5 0 5
4 2 4
10 5
2 1 0
1 0 0
2 0 1
1 1 0
2 1 1
0 0 1
1 1 2
1 0 2
0 2 0
0 2 2
10 3
1 0 2
1 1 1
0 2 2
0 0 2
2 1 2
2 0 0
0 0 0
1 1 2
1 2 1
1 0 0
10 4
3 3 1
2 1 2
3 0 0
0 0 3
2 3 1
3 2 2
0 3 3
1 2 0
1 0 3
1 3 0
10 5
1 2 2
0 0 2
1 0 0
2 0 2
0 0 0
2 2 1
2 0 1
0 0 1
2 2 2
2 0 0
10 5
5 5 2
4 1 1
0 0 1
5 3 3
0 0 4
5 2 2
2 5 0
0 2 0
0 1 0
3 0 2
10 7
2 1 4
0 1 3
2 0 3
0 4 1
3 0 0
2 3 4
0 1 2
1 2 1
0 2 1
1 2 4
10 2
1 0 1
1 2 2
2 0 0
2 1 0
2 2 0
1 1 0
2 0 1
2 1 1
1 0 2
0 2 0
10 9
3 1 1
3 0 2
3 2 0
2 2 3
0 0 3
0 1 3
0 1 2
1 1 1
2 0 2
1 3 0
10 8
3 0 0
0 3 1
5 3 2
0 2 1
2 3 1
2 4 0
3 4 5
2 2 3
0 5 0
4 0 1
10 8
3 1 0
4 2 2
3 2 0
0 2 3
4 2 4
1 2 3
1 0 2
2 4 4
3 4 2
1 0 3
10 7
0 2 5
5 4 5
2 4 4
2 5 0
3 4 0
2 5 4
5 2 1
0 4 0
4 2 3
4 4 4
10 3
4 3 2
4 3 0
0 0 1
4 0 2
5 0 2
3 4 4
5 4 3
5 4 1
5 5 4
0 1 4
10 9
0 0 0
0 1 2
2 2 1
1 2 1
1 1 0
2 1 1
0 0 1
1 0 1
2 1 2
0 1 0
10 3
0 0 3
3 0 1
3 3 1
3 0 2
1 0 2
2 0 1
1 1 1
2 3 0
1 3 2
0 0 2
10 8
0 3 2
2 3 1
2 1 3
3 1 0
2 0 0
2 2 2
0 2 2
2 0 2
1 3 1
3 0 3
10 4
2 4 5
5 2 2
3 0 3
0 0 3
4 5 5
4 2 3
4 1 0
3 5 2
2 1 1
0 0 5
10 8
2 2 2
0 2 0
2 1 1
1 1 2
0 0 1
0 1 0
2 0 2
1 2 1
1 0 2
0 2 1
10 3
3 0 3
1 2 5
3 0 4
2 4 4
2 4 3
5 2 1
3 5 0
3 2 5
1 1 0
4 4 2
10 5
1 4 2
1 4 1
0 3 2
0 3 1
2 2 4
2 3 2
0 0 3
3 3 1
1 3 2
1 4 4
10 9
0 3 2
4 0 0
0 0 0
3 0 3
2 2 4
1 3 3
0 2 4
3 2 3
4 1 1
3 4 0
10 2
3 0 2
3 1 2
2 0 1
2 1 0
3 2 0
0 3 2
0 2 2
0 0 2
3 1 0
3 3 2
10 3
2 1 2
1 4 4
0 3 4
1 3 3
2 2 2
0 4 3
0 1 3
0 4 0
0 3 3
3 1 3
10 7
1 1 5
1 1 3
0 2 3
3 2 3
4 2 1
1 0 1
1 5 4
5 0 4
0 2 0
3 3 1
10 3
5 0 0
1 5 3
3 3 2
4 4 1
5 3 0
1 3 2
4 0 1
5 1 1
5 1 3
1 4 0
10 5
0 1 1
2 1 2
1 0 2
2 2 0
0 0 1
0 1 0
2 1 0
0 2 2
1 2 2
0 0 2
10 7
1 3 2
0 2 2
1 2 1
0 0 3
3 4 3
2 1 1
3 4 2
2 2 1
3 0 0
3 0 3
10 9
2 1 1
1 2 1
2 2 1
0 1 1
0 2 1
0 0 0
1 1 0
2 0 0
0 2 2
1 1 2
10 5
2 4 4
0 0 3
1 2 0
2 1 2
0 1 0
2 2 4
3 3 1
3 2 0
4 2 2
1 2 4
10 5
0 1 1
4 2 3
3 2 3
1 1 3
1 0 0
4 0 1
4 1 2
4 4 2
0 1 2
3 0 2
10 6
3 3 0
2 0 0
1 0 1
0 0 0
1 1 2
2 0 2
2 2 3
1 3 1
1 2 0
3 0 1
10 9
2 3 3
5 3 5
3 1 5
3 2 4
2 5 3
4 5 4
5 3 3
1 5 4
5 2 5
3 4 5
10 2
4 0 3
3 2 4
5 1 1
5 4 1
2 5 3
3 4 2
4 2 1
2 1 1
5 3 2
3 2 5
10 2
2 2 0
2 2 2
2 1 0
2 0 1
1 2 0
2 2 1
2 1 2
0 0 2
1 1 0
1 0 2
10 6
3 2 0
0 3 3
3 2 1
1 3 2
0 3 2
1 3 3
0 2 3
3 0 0
3 3 1
0 0 1
10 2
2 0 0
2 0 2
0 2 1
1 0 2
2 0 1
1 2 0
0 0 1
2 2 1
0 2 0
0 1 1
10 9
2 3 3
0 3 3
4 1 1
3 2 4
2 0 3
2 2 1
2 2 4
4 0 2
3 4 4
4 3 1
10 2
4 3 0
5 0 3
5 5 5
2 4 1
0 0 1
1 2 3
5 1 5
4 3 5
2 0 2
0 2 2
10 4
0 1 1
2 0 3
2 1 1
2 3 0
0 1 2
1 3 0
1 2 2
3 1 2
0 0 3
3 2 3
10 2
4 3 4
0 1 0
2 2 2
3 0 1
2 3 4
1 2 0
0 2 3
3 1 3
0 0 0
4 1 2
10 9
3 2 0
4 0 2
5 3 1
0 2 2
2 0 2
3 5 0
0 1 3
0 2 3
0 4 2
3 1 1
10 6
0 0 2
2 0 2
1 1 1
2 1 0
1 1 0
1 0 1
2 2 2
0 2 1
2 1 2
1 2 0
10 9
1 3 2
0 0 1
3 2 0
1 3 0
1 2 2
2 0 0
2 1 1
3 1 3
1 1 3
0 0 0
10 5
0 0 3
3 1 2
3 3 2
2 3 0
3 0 3
1 1 2
2 2 1
0 3 0
1 2 3
1 3 3
10 8
0 2 0
0 1 2
0 0 2
0 0 0
2 2 0
0 1 1
2 2 2
2 0 0
2 1 2
1 0 0
10 3
1 2 0
1 0 0
2 0 1
2 0 2
1 1 2
0 1 1
2 1 0
0 0 0
1 0 1
0 1 2
10 7
1 2 1
0 0 1
2 1 2
0 2 2
2 0 2
2 1 1
2 2 0
1 2 0
1 1 1
1 2 2
10 4
4 4 4
1 2 0
0 4 1
4 0 2
2 3 2
2 2 1
0 3 1
4 2 2
4 1 0
4 3 3
10 9
0 3 2
3 2 0
3 0 1
3 1 0
0 0 3
0 0 1
2 0 1
1 2 3
0 1 0
0 2 3
10 2
1 2 1
2 0 2
2 2 0
2 0 1
0 0 2
1 1 0
2 1 2
0 1 0
1 0 1
0 0 1
10 9
4 2 3
2 5 5
4 5 0
1 5 2
5 1 5
3 1 1
3 2 2
1 0 0
0 0 5
0 4 2
10 2
0 1 2
0 2 1
2 2 2
1 1 2
2 0 2
0 1 1
0 1 0
2 2 1
1 2 1
2 0 0
10 7
4 0 0
4 5 2
0 0 1
1 2 0
4 0 2
3 3 2
2 0 1
1 1 1
2 2 5
5 1 2
10 9
0 4 2
4 0 2
3 1 1
3 3 1
1 1 3
3 2 2
4 2 4
0 3 3
4 0 0
0 2 4
10 4
1 3 1
3 2 3
2 1 0
0 0 2
2 2 1
3 3 2
3 1 2
2 3 1
0 1 3
2 0 1
10 5
2 0 3
2 3 2
0 2 2
0 2 0
0 3 2
1 1 3
2 2 2
1 3 3
1 0 3
3 0 2
10 5
4 2 2
1 3 1
4 4 3
1 4 2
2 0 2
0 0 4
0 1 2
1 1 4
1 2 4
4 0 3
10 5
3 2 3
2 3 0
1 0 3
4 1 3
1 4 0
1 3 1
4 4 1
2 4 4
4 3 0
0 3 0
10 7
0 1 3
0 1 1
0 1 2
0 3 1
3 0 2
1 0 3
0 3 0
1 1 1
2 0 1
0 2 3
10 2
2 2 2
2 0 1
0 2 2
1 2 0
0 1 2
1 1 2
2 2 0
1 2 1
0 1 0
2 0 0
10 5
4 4 2
4 5 5
3 3 4
1 2 3
2 5 4
3 1 5
1 5 4
1 5 5
3 1 4
1 4 3
10 2
1 1 0
3 1 0
1 3 2
2 1 2
0 2 3
3 0 0
1 3 0
0 3 2
2 1 0
1 3 1
10 3
4 1 3
4 0 4
2 0 0
0 1 5
3 0 0
5 0 3
2 4 2
1 0 5
2 2 1
1 1 3
10 7
2 0 0
0 1 2
2 2 2
1 1 0
2 1 1
2 2 0
1 2 0
0 2 2
2 2 1
1 1 1
10 6
1 3 1
0 3 0
2 1 1
0 3 2
0 2 3
1 2 3
1 0 2
3 0 1
1 3 2
3 0 0
10 6
0 1 0
2 2 2
0 0 1
2 0 1
2 0 0
2 2 0
2 1 0
0 0 2
0 0 0
1 2 2
10 8
1 1 0
2 3 0
2 0 3
0 0 2
2 3 2
2 1 2
1 0 0
3 3 2
0 2 1
0 3 0
10 7
0 1 2
0 3 3
0 3 0
1 1 2
3 3 0
2 0 1
1 1 1
1 1 3
3 3 3
3 0 1
10 4
3 3 2
5 5 0
4 1 5
0 5 0
3 4 1
1 5 4
4 0 5
1 4 5
0 1 3
3 0 3
10 5
1 1 1
1 0 1
2 2 2
0 2 0
2 1 1
0 0 1
2 1 0
0 0 2
1 2 0
1 1 2
10 9
1 0 0
0 1 0
0 2 2
1 1 0
2 1 1
0 2 1
1 2 2
2 1 0
1 2 0
0 0 0
10 6
4 2 4
2 4 2
0 4 4
4 0 3
1 2 5
3 5 2
5 2 0
4 1 3
0 4 2
1 1 3
10 4
4 1 3
2 3 1
1 4 2
3 4 4
0 3 4
3 4 2
0 3 1
2 0 4
3 0 0
0 2 2
10 6
5 0 2
0 2 2
1 5 5
4 5 1
4 4 0
1 3 2
1 5 3
2 2 5
1 5 4
0 2 4
10 9
3 1 2
0 4 0
0 3 3
1 2 2
2 0 3
4 2 5
4 2 0
0 5 4
0 5 0
3 4 0
10 4
4 3 3
3 3 5
0 5 1
4 1 3
3 2 1
1 2 0
3 1 3
2 4 1
1 0 4
0 2 3
10 2
4 0 1
0 0 1
4 3 0
4 1 0
2 1 1
3 1 0
3 0 4
3 2 2
4 4 2
1 4 1
10 6
0 2 2
0 0 0
0 1 1
2 0 1
2 1 1
1 2 2
0 1 0
1 2 0
1 0 2
1 1 0
10 9
1 2 0
0 0 1
1 0 2
2 0 2
0 0 0
1 2 2
0 2 2
0 1 2
0 2 0
1 0 0
10 9
0 2 0
2 1 0
0 0 1
1 0 2
2 2 2
0 2 1
1 0 1
0 2 2
1 2 0
1 2 1
10 2
2 0 1
0 0 0
1 1 0
0 1 2
1 1 1
2 1 1
1 2 0
1 0 2
1 2 2
0 2 0
10 8
0 2 0
0 3 2
0 3 0
2 3 0
1 2 1
2 1 0
2 3 3
3 0 2
1 0 2
1 0 3
10 9
1 1 4
4 4 3
1 3 4
2 0 0
2 0 1
0 2 4
3 2 3
0 1 2
2 0 3
4 1 1
10 5
4 3 2
3 4 2
0 4 1
3 0 0
3 1 3
4 3 1
2 2 1
2 2 3
3 2 0
1 3 2
10 5
0 0 1
2 1 1
2 0 1
0 1 1
1 1 1
0 2 1
0 2 2
1 0 0
2 2 1
1 1 0
10 7
2 0 5
1 5 3
4 0 0
2 5 0
4 4 2
1 2 1
3 5 1
1 3 0
0 1 2
5 0 5
10 9
2 1 1
1 0 2
2 1 2
1 2 1
2 2 1
2 0 1
0 1 2
2 2 2
1 2 0
0 0 0
10 7
2 2 2
0 0 2
1 0 1
2 0 2
1 0 0
0 1 1
1 2 0
0 1 0
1 2 2
0 2 0
10 3
2 2 2
0 2 0
2 2 0
1 2 0
0 1 0
0 1 2
1 1 2
2 0 2
0 2 1
0 2 2
10 3
2 1 0
0 0 2
1 0 2
1 1 2
0 1 2
0 1 0
2 0 2
1 1 0
2 1 1
1 0 0
10 9
0 3 0
3 1 2
4 5 1
0 2 1
5 4 2
1 1 3
0 1 0
2 5 5
3 1 3
4 2 0
10 4
0 0 1
2 2 0
0 0 2
3 1 2
3 3 0
0 0 3
2 1 2
1 2 0
1 3 2
2 1 3
10 4
0 3 4
0 0 2
1 0 3
0 4 0
4 1 3
0 4 3
3 1 1
2 4 0
1 1 1
1 3 3
10 5
4 1 2
3 3 0
3 0 1
4 0 1
4 0 0
0 5 5
2 3 5
5 0 5
2 1 4
2 3 3
10 6
2 4 2
0 2 1
2 0 0
1 0 0
4 3 0
1 3 0
4 3 2
1 1 3
2 3 2
0 1 3
10 7
0 2 0
1 1 2
0 1 0
0 0 1
2 0 1
0 2 1
1 2 0
1 0 2
1 0 0
1 0 1
10 2
0 3 0
1 3 1
3 3 2
1 3 3
2 0 0
2 1 2
2 2 2
0 3 1
3 0 3
0 0 0
10 4
2 3 0
1 0 1
0 3 3
3 0 1
1 0 0
3 2 2
3 1 1
2 2 2
0 0 1
0 1 3
10 7
1 1 0
1 0 2
1 3 3
1 3 2
0 4 4
3 4 2
1 3 0
1 4 3
2 1 2
3 4 4
10 2
2 1 0
1 0 1
0 1 2
1 0 0
1 1 0
1 1 1
2 2 1
0 0 0
2 0 2
2 1 1
10 3
1 0 4
3 0 4
0 3 2
4 2 2
0 1 4
0 4 0
4 0 4
3 3 2
4 2 3
4 3 4
10 4
1 4 5
3 0 5
1 2 4
0 5 3
2 2 3
1 0 1
2 3 1
2 1 3
5 4 3
0 5 0
10 5
3 1 2
0 1 2
2 4 4
3 1 1
0 2 0
3 2 0
1 1 3
4 3 1
2 3 4
0 4 4
10 9
3 3 3
2 2 3
1 3 2
0 0 2
1 0 1
2 0 3
3 0 1
2 3 0
2 1 3
3 2 2
10 9
3 3 5
4 2 3
2 5 1
2 4 5
5 5 2
4 4 2
5 4 2
5 3 2
0 2 4
4 1 1
10 9
5 5 5
4 3 5
1 0 0
1 4 5
2 5 0
5 3 5
1 3 2
4 1 1
4 0 3
3 2 4
10 8
3 1 1
0 0 2
1 3 2
3 3 2
2 0 2
0 3 3
3 3 1
2 3 3
2 0 1
1 2 2
10 5
1 1 0
1 2 3
3 1 1
3 0 1
2 2 3
3 0 2
1 0 3
0 1 2
0 2 3
2 2 0
10 3
1 0 1
2 2 0
3 1 3
0 0 0
3 2 1
1 1 2
1 1 3
2 0 3
2 1 1
0 1 2
10 3
1 1 1
2 0 2
2 2 2
2 1 1
1 1 0
0 0 0
0 1 0
0 1 1
1 1 2
2 1 0
10 5
2 3 1
3 3 2
1 1 3
2 2 1
3 0 0
0 1 0
0 3 0
1 1 2
3 0 3
3 2 1
10 4
2 1 1
2 2 1
1 1 0
2 1 2
0 0 1
1 0 1
0 1 0
0 2 1
2 2 2
2 0 1
10 8
1 0 3
2 2 0
3 1 2
2 2 4
4 4 3
0 4 3
1 2 5
0 4 4
2 3 4
0 3 3
10 3
3 1 1
3 3 2
1 2 3
0 0 2
3 0 0
0 4 0
3 2 3
1 4 1
1 2 2
2 0 4
10 6
0 2 1
0 0 1
2 2 1
0 2 0
1 1 0
0 1 2
2 1 0
1 0 0
0 0 2
2 2 2
10 8
3 0 2
0 0 0
1 2 2
1 0 2
0 3 0
3 0 1
0 2 3
3 2 3
3 2 0
3 3 2
10 7
4 0 4
1 4 3
2 2 0
1 2 4
4 0 1
0 0 4
3 2 4
1 2 2
1 4 1
3 2 2
10 7
0 1 2
0 0 0
2 2 0
1 1 1
1 1 2
0 1 0
0 1 1
1 0 0
2 1 0
1 1 0
10 7
1 1 5
2 3 3
3 0 3
1 2 5
1 3 5
5 4 2
4 1 0
2 3 4
2 2 0
0 4 3
10 7
2 2 1
1 3 0
4 2 2
4 0 0
4 4 3
2 3 0
3 4 1
1 3 4
0 1 0
3 4 3
10 7
2 0 0
2 1 1
0 0 1
1 2 0
1 0 2
0 1 0
2 1 0
1 0 1
2 2 0
1 1 1
10 6
1 1 2
1 0 0
1 2 2
2 0 1
0 2 1
0 1 1
0 0 0
2 1 0
1 0 1
1 2 0
10 5
0 0 5
2 4 4
5 4 4
2 0 4
1 0 5
1 5 1
0 5 2
3 5 5
5 0 3
1 2 0
10 3
3 1 0
2 0 0
3 0 2
3 2 0
3 0 1
0 2 1
2 3 2
3 2 2
2 1 2
2 3 1
10 2
4 3 0
4 2 4
3 4 0
1 3 0
4 3 3
2 3 0
2 4 2
1 4 0
1 0 4
1 1 2
10 3
3 2 3
2 1 1
2 3 1
1 1 2
2 3 2
3 2 0
2 0 2
3 1 0
1 0 1
2 2 1
10 8
1 1 0
0 2 2
2 0 2
1 0 1
2 1 1
2 2 2
0 0 0
1 2 2
0 1 1
0 2 1
10 8
0 1 0
1 2 1
0 0 0
2 2 2
0 2 0
1 0 2
2 2 1
2 1 1
0 0 2
0 1 2
10 2
2 4 4
4 1 4
1 3 1
3 4 0
4 1 2
3 4 2
1 0 4
4 2 2
0 3 4
1 1 2
10 9
1 3 4
3 1 1
0 3 0
1 0 3
4 2 1
4 2 2
4 3 4
2 0 0
1 1 3
2 0 4
10 2
3 2 3
1 2 4
0 0 5
4 1 1
2 2 1
4 2 5
4 5 1
2 4 1
0 1 2
0 4 3
10 5
0 2 2
0 0 0
2 2 1
2 1 1
2 2 0
1 2 0
1 0 2
0 1 0
2 0 2
1 0 1
10 3
1 0 1
1 4 1
0 1 2
4 4 3
0 1 1
4 4 0
3 1 3
0 3 2
4 4 4
1 2 3
10 5
1 1 1
4 0 1
4 4 0
1 3 4
0 3 1
4 1 3
1 0 3
3 4 3
0 3 3
2 1 3
10 7
4 2 0
3 1 1
1 3 2
4 0 4
2 3 0
2 2 0
1 4 4
0 2 3
1 1 3
3 0 1
10 3
1 1 2
1 2 2
0 2 3
3 0 3
4 3 3
2 1 4
4 0 4
0 0 1
4 0 0
1 4 3
10 7
2 0 2
1 1 0
0 2 1
0 2 2
1 2 2
2 2 1
2 1 2
1 2 0
2 2 0
0 1 1
10 7
1 1 2
0 1 1
0 2 3
3 3 2
3 1 1
0 0 3
2 2 3
3 0 2
2 0 2
1 0 3
10 8
1 4 4
2 0 1
3 4 3
0 0 4
4 0 1
2 1 3
0 0 2
2 0 0
2 2 0
3 4 4
10 4
0 2 0
1 1 2
0 0 2
0 2 1
1 2 0
2 1 2
2 0 2
1 2 2
0 0 0
2 0 1
10 3
0 2 2
1 1 1
1 1 2
1 2 1
2 0 2
0 0 2
2 2 0
2 2 1
0 1 2
1 1 0
10 2
2 3 5
1 2 3
2 1 4
3 1 2
1 4 4
1 0 2
4 0 0
1 4 3
2 3 4
3 0 5
10 8
1 1 2
2 2 0
1 0 0
1 0 2
1 0 1
1 2 2
2 0 2
0 2 1
0 2 0
1 1 0
10 4
0 4 0
1 0 4
1 4 3
4 0 3
2 1 4
1 4 0
3 0 3
0 4 4
1 1 1
0 3 2
10 7
4 4 4
4 2 1
4 1 0
2 4 1
1 0 2
0 1 4
0 3 2
1 1 2
1 1 0
0 4 2
10 7
0 1 0
1 1 1
1 2 2
2 2 1
2 2 0
2 0 0
1 0 0
1 2 0
1 2 1
0 2 2
10 9
2 1 0
0 2 1
2 0 0
1 0 1
2 0 1
0 0 0
1 0 0
1 0 2
0 2 2
1 2 0
10 9
5 4 4
2 2 0
3 2 3
0 0 4
4 5 3
3 1 2
3 5 5
3 2 0
1 2 3
1 5 3
10 5
3 3 3
3 3 0
3 0 3
1 2 2
2 3 0
0 3 2
1 0 3
2 2 1
3 0 1
3 2 1
10 5
2 2 0
2 0 1
0 2 1
1 3 0
2 1 1
3 3 1
0 1 1
4 1 3
0 3 2
4 2 2
10 9
1 1 2
0 1 0
4 4 3
5 5 3
0 0 2
4 3 1
3 0 5
1 1 1
3 5 4
0 0 4
10 7
3 0 2
3 3 0
3 1 2
3 1 1
0 2 1
3 2 1
2 0 2
2 0 0
2 0 1
3 1 0
10 7
1 5 4
2 5 5
1 3 2
4 3 3
3 0 3
5 3 1
2 3 1
0 0 1
4 3 4
4 3 1
10 4
1 3 0
1 2 1
3 3 1
3 2 1
2 0 3
3 3 0
2 3 3
2 2 2
0 1 1
1 1 1
10 6
2 1 0
2 1 2
2 2 1
1 2 2
2 0 2
0 1 2
0 2 2
1 2 0
2 1 1
0 2 1
10 3
0 0 1
0 1 0
2 0 2
2 2 1
1 1 0
0 2 1
0 2 2
2 0 0
2 1 2
0 0 0
10 6
5 5 2
5 0 1
1 3 3
1 1 4
1 5 3
5 0 3
0 4 4
3 5 2
2 3 0
0 1 0
10 6
1 3 2
2 0 0
0 3 0
0 3 1
2 2 3
2 3 3
1 1 0
1 3 3
0 2 1
2 1 0
10 5
1 2 1
1 2 0
2 1 0
0 2 2
2 2 2
0 0 2
0 1 0
2 2 0
0 0 1
1 2 2
10 3
1 1 3
0 4 4
2 1 5
3 0 4
0 1 1
5 2 3
2 5 1
1 2 2
1 0 3
0 5 3
10 7
1 2 0
1 2 2
2 2 0
1 1 0
0 2 0
0 2 1
2 1 2
2 0 0
0 0 1
1 2 1
10 7
2 2 0
3 2 0
2 0 1
1 0 3
1 1 1
2 3 2
2 3 1
3 3 2
1 0 0
0 0 0
10 4
2 0 2
3 1 0
3 2 0
1 3 0
0 1 2
3 3 2
2 0 0
3 2 2
1 2 1
1 0 3
10 2
1 2 2
1 3 0
2 1 2
0 2 1
3 3 1
0 0 0
1 1 1
0 0 1
0 1 1
2 2 2
10 8
3 1 2
3 3 1
2 2 2
3 3 3
2 2 3
0 3 2
0 0 1
3 3 0
0 0 0
1 0 3
10 7
1 0 0
2 2 2
1 1 1
2 2 0
0 2 1
1 2 1
2 1 0
1 0 1
2 1 1
0 1 0
10 9
0 2 2
2 4 3
4 3 0
2 4 1
1 4 4
2 0 2
0 1 1
1 1 0
3 3 0
0 3 4
10 7
5 3 5
2 3 5
3 1 3
0 3 2
5 5 5
5 5 1
0 3 3
5 5 0
4 3 4
1 0 3
10 3
1 0 5
4 4 1
5 0 0
5 1 2
0 1 5
4 0 0
1 1 2
3 4 1
4 1 3
5 2 5
10 6
0 0 0
0 1 1
0 2 1
0 1 2
0 1 0
2 1 2
1 0 0
1 1 1
0 0 2
1 1 0
10 7
3 0 3
4 2 4
2 5 3
4 1 5
4 0 0
1 4 0
5 1 1
5 4 0
0 1 3
1 2 0
10 2
4 3 5
4 2 3
1 2 0
1 1 3
5 5 0
0 3 5
2 3 5
1 0 0
1 1 2
3 5 0
10 7
0 1 1
1 1 0
0 1 2
2 0 0
2 2 0
2 2 1
2 1 2
0 2 2
1 1 2
1 0 1
10 8
0 0 3
1 2 1
1 3 0
0 0 1
2 1 1
1 0 0
1 3 2
1 3 3
3 1 2
0 3 3
10 3
2 1 1
3 1 1
2 3 1
2 4 2
3 2 1
4 4 1
0 1 1
0 2 0
2 0 2
2 0 1
10 6
2 0 3
3 0 1
1 3 0
1 2 3
2 1 2
1 1 2
0 1 3
3 0 0
1 3 1
3 1 2
10 5
1 0 2
2 1 2
0 0 1
1 2 1
2 1 1
1 1 1
1 1 2
0 2 0
0 1 2
1 1 0
10 9
2 2 4
3 1 4
1 1 2
4 3 3
0 3 4
1 1 1
3 1 1
2 4 0
4 2 1
1 1 4
10 5
5 1 3
5 3 4
4 5 4
3 4 4
0 2 3
0 2 4
1 1 5
3 3 1
0 4 3
0 1 4
10 3
1 3 3
1 2 2
2 0 3
1 2 3
0 3 1
0 0 0
1 1 2
0 1 0
2 0 1
3 0 1
10 5
2 0 0
2 2 2
0 0 1
0 1 1
2 1 1
1 0 2
2 1 2
0 2 1
2 1 0
0 0 0
10 9
2 1 5
3 4 0
4 4 2
5 2 1
2 4 4
1 5 0
2 3 5
0 5 3
2 2 3
3 0 2
10 3
2 1 0
2 2 0
2 2 1
0 0 0
0 0 1
0 1 2
0 2 0
2 0 0
2 1 2
1 2 0
10 4
1 2 1
1 2 0
2 0 0
0 0 1
0 2 1
2 2 1
0 2 2
0 1 2
1 1 1
0 1 1
10 6
0 1 3
0 3 3
1 0 2
3 1 0
1 3 0
3 3 3
3 0 0
0 2 1
3 0 2
1 3 3
10 9
4 4 0
2 3 3
3 0 4
3 3 2
1 2 2
4 0 0
0 4 4
0 1 3
3 3 4
4 2 2
10 7
2 2 1
0 2 0
0 2 1
2 2 2
1 1 1
2 1 1
0 0 1
2 0 0
0 0 0
0 1 1
10 9
0 2 0
3 0 3
2 2 0
1 1 0
0 2 2
1 3 1
3 2 0
0 0 1
1 0 2
0 1 0
10 8
1 2 0
2 4 4
4 3 1
3 1 3
3 1 1
3 0 1
4 2 4
0 0 1
4 1 4
1 3 2
10 2
0 0 4
3 1 3
2 2 4
2 2 1
4 2 3
2 3 1
0 4 2
3 0 3
2 1 1
0 1 3
10 4
5 0 5
5 3 4
3 1 4
4 0 1
2 2 0
0 3 2
1 2 3
5 2 0
4 1 0
0 4 1
10 7
1 2 0
2 1 1
2 1 2
2 0 1
2 0 0
0 0 2
1 2 2
2 1 0
1 2 1
1 1 0
10 3
0 0 0
1 2 1
0 2 0
1 1 2
2 1 0
0 1 0
2 0 2
0 0 2
2 0 0
1 2 0
10 9
2 2 4
4 3 4
4 1 0
5 3 4
1 3 1
0 1 0
2 0 4
3 4 0
3 2 4
3 1 1
10 4
0 1 2
1 0 2
1 2 0
2 0 0
0 1 0
0 0 2
1 1 0
2 1 1
2 2 0
1 1 1
10 5
0 0 0
0 0 2
0 3 2
3 3 0
0 3 3
0 2 0
1 2 2
1 3 3
3 1 2
2 2 2
10 5
3 1 1
0 0 2
2 0 3
0 3 3
3 3 2
2 0 2
2 2 3
1 3 2
2 3 2
2 1 2
10 4
2 3 0
0 4 3
3 2 1
4 3 2
3 2 0
1 4 1
2 4 3
2 3 2
1 0 4
2 0 2
10 9
2 1 2
2 2 1
2 2 2
1 3 2
3 0 3
1 0 3
2 2 0
0 3 1
0 1 2
0 1 0
10 6
2 0 2
2 0 0
1 0 2
2 2 1
2 0 1
0 0 2
0 0 0
2 1 1
2 1 2
0 2 2
10 5
0 0 0
2 0 1
1 1 0
2 2 2
1 2 0
1 0 2
1 1 1
2 2 1
0 1 0
2 0 0
10 9
2 5 4
4 3 2
1 4 4
3 3 2
4 2 0
5 2 2
4 5 3
2 4 3
0 0 0
0 3 2
10 5
0 2 0
2 1 2
0 0 0
1 1 1
1 2 2
2 0 1
2 0 2
1 0 2
0 0 1
1 2 1
10 7
2 3 0
2 2 0
2 1 1
2 0 3
2 1 2
1 1 1
3 3 3
3 2 3
2 0 2
1 0 1
10 4
0 0 2
1 1 1
1 0 2
1 1 2
1 2 1
0 1 0
2 2 1
0 0 1
1 2 0
2 2 2
10 5
0 0 0
0 2 0
3 3 1
2 0 1
1 2 0
0 2 1
3 0 1
3 0 0
2 1 0
2 3 1
10 2
4 1 5
1 0 3
3 5 1
1 2 1
1 3 1
0 1 0
3 5 2
4 1 1
5 2 3
4 4 2
10 2
0 0 3
1 2 3
0 3 1
2 3 0
2 0 1
0 0 1
0 2 3
2 3 1
3 1 2
0 3 3
10 3
3 3 1
3 0 2
0 0 1
0 0 0
1 1 1
4 2 3
1 4 4
0 4 3
1 2 0
3 0 1
10 2
1 3 2
1 3 3
0 2 3
3 1 1
3 0 1
1 3 0
2 0 1
2 1 1
2 2 1
1 1 2
10 4
4 2 0
4 2 2
1 0 0
2 4 1
0 0 2
1 2 0
1 2 4
1 1 3
4 4 3
0 4 3
10 5
0 1 1
2 2 1
2 2 0
1 2 0
1 2 1
1 0 2
1 0 0
0 0 2
0 2 1
1 1 2
10 7
4 0 4
0 1 0
0 0 3
3 3 4
3 4 4
1 1 0
3 2 2
1 4 1
1 1 1
3 2 1
10 2
2 4 0
1 1 3
4 2 1
1 3 0
3 2 1
1 2 4
3 0 1
0 4 1
2 3 0
4 1 2
10 4
2 2 1
2 1 2
0 4 1
2 1 5
3 0 1
5 3 0
3 0 4
3 3 0
1 3 5
1 4 1
10 8
4 4 2
4 4 0
0 1 1
2 0 1
3 2 0
1 4 3
0 3 3
1 2 1
1 2 3
4 2 4
10 2
1 2 2
0 0 2
4 4 2
0 4 3
4 1 3
3 2 2
2 1 2
3 3 4
0 0 1
3 3 0
10 3
1 2 1
1 0 2
0 0 0
1 2 2
2 0 0
1 0 0
2 1 2
0 2 2
0 1 2
2 0 2
10 8
5 3 0
1 5 0
2 2 1
0 2 1
3 0 2
4 4 0
4 0 0
5 2 1
0 5 1
5 1 5
10 2
1 0 0
1 2 1
0 2 3
2 1 2
2 2 0
2 1 3
0 2 2
1 0 3
3 1 3
2 2 3
10 7
4 3 0
2 0 4
0 3 4
4 1 4
4 3 3
1 2 0
3 0 3
4 2 3
2 0 3
1 4 2
10 3
5 5 0
1 3 2
5 0 1
3 2 2
4 5 0
4 3 3
5 2 3
1 5 0
5 3 5
2 0 2
10 4
4 3 1
4 0 1
3 5 3
1 2 1
1 4 3
1 3 2
3 0 3
2 4 1
4 0 4
2 5 0
10 9
4 1 1
2 0 0
3 3 1
4 1 4
2 3 1
2 2 2
1 1 4
3 3 2
1 2 0
0 3 0
10 3
0 1 3
0 0 1
3 4 5
4 0 1
4 3 4
4 3 2
2 5 3
5 1 1
1 0 5
1 3 0
10 7
1 2 2
0 2 2
0 1 0
0 2 0
1 0 2
0 0 2
2 1 2
0 0 1
0 1 2
1 0 0
10 2
1 2 2
1 2 0
0 1 1
0 2 1
2 2 1
1 1 0
2 1 1
2 0 2
0 0 1
1 0 0
10 3
2 1 4
0 3 1
4 4 3
2 3 5
5 5 2
3 5 3
0 2 2
5 2 2
0 3 3
0 5 3
10 6
5 5 4
5 2 3
3 0 4
0 1 1
0 3 1
2 0 1
0 5 5
5 1 2
0 3 5
1 1 3
10 7
0 0 0
0 1 0
0 1 3
2 0 3
2 1 2
2 3 2
3 1 2
0 2 1
3 0 0
1 2 1
10 6
2 1 2
1 0 0
2 0 1
2 2 0
2 1 0
2 2 1
1 1 1
0 1 2
2 1 1
1 2 1
10 8
0 0 1
0 1 2
0 2 0
0 0 2
2 0 0
2 0 1
1 1 0
1 1 2
2 2 0
1 0 2
10 5
2 4 1
4 4 1
2 1 4
0 1 2
2 1 1
4 0 2
4 4 2
0 2 3
3 3 1
2 2 4
10 5
2 3 0
2 2 0
0 2 2
1 0 2
3 1 0
1 0 1
1 2 2
0 1 2
1 3 1
1 1 0
10 4
4 2 1
5 4 0
3 1 0
3 4 1
2 0 1
4 3 2
1 0 5
5 0 0
5 1 1
4 4 1
10 8
2 0 1
2 2 2
0 2 2
0 1 2
0 0 2
0 0 0
2 0 2
1 0 0
2 1 0
1 1 1
10 6
1 1 2
2 2 1
0 0 2
0 2 1
2 1 2
1 1 1
1 2 0
2 0 1
0 1 1
2 1 1
10 3
2 1 0
0 2 3
1 0 0
3 0 0
0 2 2
1 3 0
3 3 1
0 0 3
3 0 3
3 1 0
10 9
3 0 1
2 1 3
2 3 0
2 2 3
0 1 2
0 0 3
1 3 1
1 2 1
3 2 1
2 2 1
10 6
3 5 3
4 2 5
2 0 1
4 3 1
0 4 1
0 2 2
5 3 4
0 5 2
3 5 4
5 5 3
10 8
1 2 2
1 1 2
1 0 0
0 0 0
2 0 2
0 2 0
1 2 1
0 1 2
0 1 1
1 1 0
10 8
5 2 1
0 1 0
3 0 5
1 5 3
1 3 0
0 4 3
4 4 4
0 3 2
0 2 0
2 1 5
10 5
4 3 5
0 4 0
0 1 2
2 1 5
3 5 1
5 3 5
0 1 3
5 5 0
0 2 5
4 5 5
10 2
2 3 2
4 5 1
3 0 0
3 5 3
5 2 5
2 5 4
3 0 3
0 5 1
5 2 3
4 4 5
10 6
0 2 3
1 0 1
1 0 3
2 3 0
2 0 2
1 2 2
2 2 1
2 3 2
3 3 3
2 2 2
10 2
3 5 0
0 1 5
2 4 2
5 1 0
1 3 1
3 2 2
5 4 1
5 2 2
3 0 5
2 5 2
10 8
0 2 2
1 4 2
2 3 3
0 5 3
1 2 0
1 1 0
4 1 1
4 2 4
5 4 4
5 1 2
10 3
0 1 0
1 0 2
1 1 2
0 1 1
2 2 0
1 0 0
2 1 2
2 2 2
1 2 0
1 2 2
10 9
1 3 0
2 0 4
4 1 3
2 3 4
1 0 2
4 3 3
2 0 2
4 0 3
1 4 0
0 0 3
10 6
2 3 2
1 0 0
0 0 4
3 0 0
1 3 0
4 4 0
4 1 2
0 1 0
0 2 2
0 4 4
10 4
2 0 0
0 2 1
0 0 2
2 1 1
0 1 1
1 0 0
1 1 2
1 2 2
2 0 2
1 2 0
10 8
2 0 3
3 3 3
3 2 3
2 2 1
2 1 2
2 3 1
2 1 3
3 1 3
3 3 0
2 3 0
10 5
4 1 1
4 2 1
4 3 1
5 2 0
4 1 5
2 5 0
1 2 0
0 3 3
4 1 4
0 2 1
10 3
0 1 0
2 1 1
3 3 2
3 0 1
1 2 1
1 3 3
3 1 0
1 1 0
1 2 3
1 0 2
10 2
0 1 2
2 2 2
2 0 2
0 0 0
1 2 0
2 1 0
2 0 0
1 0 0
0 2 2
0 0 1
10 3
2 2 3
0 1 0
1 0 1
3 1 0
2 0 0
2 1 1
0 3 0
1 0 2
3 1 3
3 1 1
10 6
4 1 0
1 5 0
3 4 2
3 3 2
0 0 5
3 2 5
1 0 0
5 4 4
3 2 3
1 4 5
10 4
0 0 0
0 0 2
0 2 2
1 1 0
2 1 0
0 0 1
0 2 0
0 2 1
2 1 1
0 1 2
10 2
1 2 0
2 2 0
0 2 1
1 0 2
2 1 0
1 1 1
0 1 1
0 2 2
0 0 0
2 2 2
10 4
0 2 2
1 1 3
2 3 3
2 0 1
2 2 0
0 2 0
1 1 1
2 0 2
0 2 3
0 3 3
10 5
3 1 1
1 0 3
2 1 0
0 2 1
1 2 0
2 3 0
0 1 2
2 0 0
1 1 2
1 0 2
10 7
2 0 2
2 3 1
1 3 1
2 0 0
3 0 0
0 2 2
3 1 0
2 0 1
2 1 3
3 2 3
10 7
1 2 0
2 4 3
4 2 0
0 0 1
1 2 1
1 1 0
4 0 3
4 3 2
0 1 0
0 0 2
10 5
0 1 1
2 0 0
0 1 2
2 0 2
0 2 1
1 1 1
0 0 1
1 2 2
1 1 0
2 2 1
10 6
4 1 0
1 4 0
5 3 4
4 4 5
5 0 4
1 1 2
1 2 0
0 2 4
4 2 1
2 0 0
10 5
1 0 1
1 1 3
3 1 2
1 0 0
1 2 0
0 0 3
0 0 1
0 3 0
0 1 1
0 1 2
10 5
0 2 0
1 1 3
1 2 3
0 2 3
4 4 4
2 2 0
1 1 1
1 1 0
4 4 2
0 1 1
10 9
1 0 1
2 1 1
0 2 0
0 2 1
0 1 0
0 2 2
1 1 1
1 0 2
1 0 0
2 0 1
10 9
2 1 4
0 5 0
5 0 5
1 5 1
0 2 4
0 5 4
5 2 5
2 1 3
3 5 2
5 2 2
10 5
1 1 1
5 0 3
4 4 1
0 3 3
2 0 1
1 3 1
3 3 3
3 5 1
5 5 5
4 0 0
10 2
0 2 3
1 5 2
1 1 0
2 3 3
1 1 3
1 0 2
5 4 4
0 2 4
1 0 1
5 0 4
10 2
2 0 0
0 1 2
0 0 0
2 2 3
3 3 1
3 2 1
3 1 3
3 1 0
2 2 0
0 0 3
10 8
3 0 2
0 1 0
1 4 3
1 3 0
2 4 3
3 4 3
4 4 3
4 3 2
4 3 3
3 1 0
10 9
2 4 4
4 4 3
4 3 0
1 4 4
1 3 2
3 0 2
1 1 1
0 2 3
2 0 3
4 4 2
10 8
1 4 2
2 1 0
0 2 1
1 3 3
4 2 4
3 2 2
4 0 1
0 0 2
2 0 4
4 0 3
10 7
2 0 0
2 2 1
0 0 0
2 0 2
0 2 0
1 0 1
1 0 0
1 1 1
1 1 2
1 2 1
10 9
4 4 3
0 5 5
5 1 4
0 3 4
0 0 3
1 1 4
1 5 3
2 2 1
0 4 4
2 5 0
10 3
0 3 3
0 0 0
0 2 2
3 2 2
2 3 0
1 2 1
2 1 2
0 1 3
1 0 2
2 1 1
10 3
0 2 2
0 2 1
2 3 3
0 1 2
2 0 0
2 0 2
3 0 3
3 1 1
1 2 3
2 2 2
10 9
0 1 1
0 0 1
0 0 0
2 2 0
1 2 2
1 0 1
0 1 2
2 0 1
2 0 0
0 2 1
10 9
1 2 0
1 1 0
1 1 1
2 1 0
0 1 0
1 0 0
0 1 2
0 2 1
2 0 2
2 0 1
10 2
1 1 4
0 1 0
4 3 4
0 1 4
4 0 0
4 2 0
3 1 0
2 4 0
2 3 1
4 1 0
10 8
3 1 0
2 0 2
3 0 0
3 2 1
3 1 2
0 1 2
1 0 2
3 2 0
1 2 2
3 1 1
10 6
4 0 1
1 3 1
3 0 1
4 2 5
5 1 5
3 2 0
0 4 2
4 2 4
3 0 5
0 5 3
10 6
4 0 2
4 3 2
0 2 4
2 2 5
1 1 1
0 1 5
0 4 4
3 1 2
5 1 0
2 3 3
10 8
0 2 5
3 0 3
3 1 4
5 5 4
4 4 5
1 5 0
3 1 0
0 3 3
0 5 5
4 0 2
10 4
3 2 2
0 2 2
1 2 1
2 3 3
3 0 2
1 1 1
3 1 0
2 2 0
1 3 2
3 2 0
10 5
2 3 3
0 2 1
1 1 2
0 1 1
2 0 0
3 1 3
0 1 0
3 2 3
3 3 3
2 3 2
10 4
1 2 3
2 1 3
1 1 1
2 0 0
0 3 0
0 1 2
3 0 0
3 0 3
0 2 3
1 3 3
10 8
2 2 0
0 0 2
2 1 0
1 0 1
0 0 0
0 2 1
0 1 2
2 2 1
2 0 2
2 0 0
10 8
1 0 2
0 2 1
2 1 3
0 3 1
2 0 3
4 3 4
0 1 2
3 0 4
0 1 1
1 2 2
10 3
3 0 1
1 2 2
0 0 1
1 2 3
2 2 3
0 2 3
2 0 1
2 3 1
0 3 0
2 1 0
10 7
0 2 3
2 2 1
1 1 0
3 1 0
0 2 2
1 3 1
0 0 1
0 3 3
0 0 2
1 0 2
10 2
1 1 2
1 1 0
2 1 0
0 1 0
0 0 2
1 0 0
2 0 0
0 1 1
0 2 0
1 0 1
10 5
0 1 0
4 4 3
4 1 2
1 1 1
3 2 0
3 2 2
2 3 2
4 2 0
0 2 1
0 2 2
10 9
0 1 5
3 0 2
5 1 0
5 4 1
5 0 4
5 3 3
5 0 5
1 2 0
1 5 2
4 1 5
10 5
1 2 0
0 2 4
2 3 3
2 3 4
2 0 3
4 1 4
0 4 4
3 0 4
4 4 4
3 1 3
10 7
2 3 1
3 2 1
3 3 1
0 0 4
0 2 1
0 0 2
3 1 0
3 0 4
0 4 1
4 1 4
10 9
0 4 4
2 0 4
4 2 3
2 2 2
4 3 0
0 4 2
3 0 4
2 2 4
2 4 3
3 4 2
10 3
2 1 1
0 1 0
1 2 0
1 1 0
2 1 2
1 0 0
0 1 1
0 2 1
0 0 1
1 1 1
10 5
0 0 0
2 1 0
0 0 1
1 0 0
1 2 2
2 0 1
2 1 2
1 2 1
0 2 0
0 1 2
10 6
3 5 2
4 1 3
3 0 1
5 3 5
4 3 2
5 4 0
0 0 0
5 5 4
5 1 1
4 0 5
10 7
2 2 0
2 3 1
0 2 2
2 1 0
2 0 0
3 2 1
1 3 3
2 1 2
2 3 0
3 1 1
10 9
4 3 3
1 4 1
3 4 2
1 1 3
1 0 3
1 1 0
3 3 1
4 4 3
4 4 1
4 3 0
10 2
1 3 2
0 2 2
1 0 0
2 1 1
2 0 3
0 3 3
3 2 3
2 2 2
1 2 3
3 1 3
10 5
2 1 0
2 2 0
2 0 0
0 2 2
0 0 0
0 0 2
1 1 0
1 2 0
2 1 2
1 1 1
10 3
2 4 2
5 1 1
1 0 4
2 3 0
2 3 3
3 4 0
3 3 1
1 1 5
1 2 1
1 1 2
10 4
2 1 1
3 3 2
3 1 2
2 0 3
1 1 1
0 1 1
0 1 3
3 0 2
0 3 2
2 2 0
10 5
4 1 4
3 2 2
2 3 0
1 0 1
3 2 3
1 1 0
0 3 2
3 2 4
3 4 0
3 4 3
10 3
2 2 0
1 2 2
1 1 0
0 1 0
0 0 2
0 1 2
1 0 1
2 1 1
2 0 0
1 0 0
10 2
1 1 0
4 0 0
3 0 3
0 1 3
3 1 4
0 0 3
2 4 4
4 2 0
0 0 4
4 4 4
10 8
4 1 4
0 1 0
0 2 4
3 0 0
0 0 1
0 3 2
1 3 4
4 4 0
0 0 2
0 2 2
10 3
0 1 1
1 4 3
2 1 3
0 0 0
1 1 1
3 4 2
3 2 2
0 0 3
2 2 0
3 4 3
10 7
0 4 1
5 1 2
3 2 1
2 2 2
3 0 2
4 1 4
4 3 5
3 3 1
0 3 2
4 3 2
10 4
3 0 1
2 1 1
3 0 0
1 1 4
3 3 1
0 0 2
0 3 0
1 3 0
3 3 3
1 3 3
10 4
0 2 0
0 2 1
4 0 1
3 2 4
0 2 3
0 4 4
0 1 1
2 4 2
3 4 1
1 3 1
10 4
0 1 5
5 2 5
2 4 4
3 0 4
0 2 5
5 0 0
1 3 0
4 4 0
2 0 3
0 4 3
10 3
2 1 2
0 0 3
1 0 1
3 2 0
1 2 2
1 1 2
3 1 3
3 0 0
2 1 3
3 1 0
10 8
1 2 3
0 3 1
0 1 3
1 3 2
0 0 2
1 2 0
3 3 1
2 2 0
3 2 0
3 0 1
10 5
1 2 0
2 1 0
0 0 2
2 0 1
1 0 2
0 0 1
2 1 1
1 1 2
2 2 0
0 2 0
10 5
3 1 3
1 2 3
3 0 0
2 0 3
0 2 1
3 3 0
1 1 0
0 3 3
2 2 3
2 2 1
10 3
0 2 0
1 0 0
2 3 1
5 1 0
1 3 4
1 5 3
4 0 5
1 4 4
2 3 0
2 3 5
10 7
1 0 1
0 0 3
2 0 1
1 3 2
2 1 2
3 2 3
3 3 3
0 0 0
2 1 0
1 1 3
10 9
1 1 1
0 1 2
1 2 2
1 1 2
0 1 0
0 0 1
2 2 2
2 0 1
1 2 0
0 0 2
10 6
4 3 4
3 1 0
4 2 2
2 0 3
0 3 0
0 4 0
3 0 2
1 0 1
0 4 1
3 0 0
10 9
3 4 4
3 2 1
2 0 1
4 1 2
3 3 3
2 1 4
1 2 2
0 3 4
0 3 2
0 2 0
10 6
4 3 1
4 1 4
3 4 0
0 2 2
3 2 1
2 1 4
1 4 1
1 4 3
2 1 3
3 1 1
10 8
1 1 3
3 1 5
0 2 0
3 1 2
4 5 5
3 5 5
0 1 2
5 4 2
5 2 5
2 5 3
10 3
2 2 3
0 3 2
1 3 1
1 2 3
3 0 2
3 1 1
2 3 2
1 1 0
0 2 3
2 3 0
10 4
2 1 3
1 3 0
2 3 1
3 2 1
2 1 0
3 0 0
3 2 0
3 3 1
1 2 1
2 2 0
10 8
3 3 0
0 1 2
3 0 3
1 0 1
2 1 2
3 0 0
3 3 1
0 3 1
0 2 3
1 0 3
10 8
1 3 1
1 1 5
0 0 3
2 0 0
2 2 0
5 3 4
1 5 0
1 0 3
0 0 2
5 4 0
10 2
3 2 1
0 1 0
2 3 0
2 0 2
2 1 1
0 0 3
0 2 2
0 3 1
2 0 3
2 1 2
10 5
1 2 1
0 4 0
1 2 4
1 1 1
4 3 0
2 2 3
2 4 4
3 3 0
1 0 2
1 4 4
10 9
4 3 2
4 2 2
0 1 1
1 4 0
3 4 4
3 3 3
3 0 1
0 2 1
4 4 4
4 3 0
10 5
1 2 5
1 4 4
3 3 0
2 2 1
3 1 0
1 4 0
3 1 5
2 1 2
0 5 2
0 0 0
10 8
4 4 1
3 1 2
4 1 1
1 1 2
3 3 3
2 0 4
0 4 0
0 1 2
1 1 1
4 0 1
10 7
0 0 0
1 2 0
1 2 2
2 1 1
2 1 2
0 1 2
0 0 2
2 0 2
0 2 2
2 2 0
10 4
0 2 0
0 2 1
2 2 1
0 1 0
1 1 0
1 0 1
2 0 0
1 2 2
0 1 2
2 2 0
10 9
4 2 0
0 1 3
2 4 0
1 3 1
1 1 2
3 0 3
3 0 4
3 2 3
0 3 4
3 3 3
10 5
0 1 0
2 2 3
2 2 0
2 0 3
3 0 2
1 3 0
3 3 0
1 3 1
3 2 3
2 1 1
10 2
0 2 0
1 2 1
0 1 1
0 2 2
1 0 0
2 1 0
2 2 0
1 1 1
1 2 2
0 1 0
10 3
0 1 2
2 4 2
2 0 4
0 1 1
3 2 1
2 4 0
0 4 3
0 2 3
1 0 0
3 3 3
10 6
1 1 1
2 2 3
1 2 2
3 0 0
1 1 0
2 3 1
0 2 0
2 1 2
1 3 3
3 2 2
10 4
3 1 3
0 4 0
2 2 2
4 4 4
4 2 1
0 1 4
3 3 4
4 1 2
4 3 0
3 1 0
10 9
0 4 3
4 2 0
3 0 3
3 0 2
3 0 4
2 0 0
1 3 4
2 1 4
4 0 0
1 0 2
10 9
0 4 2
0 3 4
2 4 1
2 5 0
4 2 1
0 4 3
1 1 3
4 5 3
5 4 1
2 4 4
10 9
1 2 1
3 2 2
1 0 3
1 1 0
1 0 0
3 3 3
3 3 2
2 3 3
3 0 1
3 1 0
10 6
1 0 1
0 0 1
2 1 0
0 1 0
0 1 2
1 1 1
2 2 1
1 0 2
2 1 2
2 1 1
10 7
0 4 4
2 1 0
0 0 2
2 0 3
0 3 4
3 4 1
1 4 0
1 1 1
1 1 3
2 4 4
10 2
1 2 3
3 1 2
0 1 2
0 2 3
2 2 1
2 1 0
0 3 2
1 1 3
2 2 3
1 0 2
10 4
2 2 0
0 0 3
3 3 0
1 3 2
2 2 1
2 2 2
3 2 1
2 1 0
3 0 0
1 2 2
10 4
2 0 1
1 1 0
1 1 1
1 2 2
1 1 2
2 0 2
0 1 0
0 0 2
2 2 1
2 2 2
10 9
2 0 3
0 1 1
2 2 0
1 3 2
1 2 0
3 0 1
2 3 2
2 1 0
3 3 1
1 0 1
10 2
2 1 0
2 1 1
1 0 0
0 2 0
2 2 0
1 2 0
0 2 1
2 0 2
0 0 2
0 0 0
10 7
2 2 0
3 0 5
1 2 5
0 1 1
1 1 0
3 1 2
1 0 2
0 3 2
1 3 0
2 0 4
10 7
1 0 0
3 1 2
3 0 1
0 2 1
2 2 1
0 2 3
2 3 3
3 3 1
0 3 0
1 0 2
10 6
4 4 4
0 4 5
3 4 0
5 1 4
4 0 1
5 0 5
3 2 0
3 4 1
5 3 2
0 0 4
10 2
0 3 1
3 2 2
1 3 2
0 1 1
2 2 0
3 3 1
0 3 0
3 0 3
0 2 2
1 3 0
10 4
4 1 4
0 0 1
1 0 0
1 0 2
0 3 3
0 0 4
1 0 1
1 3 4
4 4 2
0 0 2
10 9
2 4 4
4 3 3
2 1 0
2 1 2
2 1 4
0 1 3
1 2 2
4 0 0
3 4 3
2 3 0
10 6
5 0 5
4 1 2
2 0 5
3 3 4
2 0 0
5 3 4
4 2 0
4 1 5
3 5 5
5 0 3
10 7
0 2 3
0 0 2
3 0 3
0 0 3
1 3 2
1 0 2
0 2 2
2 1 2
3 2 1
3 1 3
10 8
4 0 1
4 2 0
5 1 0
3 2 0
4 5 1
1 1 3
0 3 3
0 2 1
0 1 5
4 0 5
10 7
3 3 3
2 2 3
1 0 3
0 0 0
0 0 3
3 1 2
3 3 2
3 2 2
2 3 1
2 2 1
10 7
2 1 1
1 5 0
5 5 1
5 0 2
2 0 1
3 2 0
0 2 3
2 2 3
1 4 2
0 2 2
10 2
1 3 4
4 0 1
4 2 4
1 0 3
3 4 0
1 2 2
1 3 3
0 3 2
1 0 2
2 3 1
10 5
3 2 3
2 1 3
2 3 3
3 3 1
2 2 2
3 0 2
0 3 1
1 1 3
3 3 3
3 2 2
10 9
0 0 3
0 3 3
4 2 3
0 2 4
1 3 2
3 1 1
0 3 2
2 4 1
4 3 1
2 2 1
10 8
3 0 1
2 1 2
0 1 2
2 0 1
0 3 1
2 3 0
3 2 2
0 2 3
1 2 0
1 3 0
10 6
1 1 2
3 3 0
2 2 1
1 0 2
1 2 3
3 2 1
0 1 2
3 0 1
3 0 2
3 2 2
10 8
1 2 0
2 2 0
1 1 2
0 0 1
1 0 1
1 1 1
2 1 0
1 0 2
2 2 1
1 1 0
10 7
1 1 2
3 2 2
0 3 2
1 2 0
1 0 3
3 0 1
2 0 0
0 2 3
0 2 0
3 0 2
10 6
1 1 0
1 0 2
0 2 1
0 1 2
0 0 1
1 2 1
2 2 1
0 0 0
1 0 0
1 2 0
10 6
1 1 1
1 0 2
1 1 0
2 1 0
2 1 2
0 2 1
0 2 0
2 0 1
1 2 2
0 0 1
10 4
2 2 1
0 2 0
2 0 0
2 1 0
0 1 0
1 0 2
1 0 0
1 2 2
1 0 1
0 1 2
10 8
2 4 0
0 1 3
4 3 3
3 0 1
3 0 3
1 2 3
2 3 3
2 2 4
1 2 0
3 1 1
10 5
0 3 2
3 3 0
0 0 0
3 3 2
2 0 3
2 1 0
1 0 3
3 0 2
3 0 0
2 2 0
10 9
2 1 1
0 0 2
1 0 1
0 2 0
1 2 1
0 1 2
2 0 1
2 2 2
2 2 0
0 1 0
10 9
1 0 2
2 2 0
1 3 1
4 1 3
4 4 3
3 3 2
0 0 0
2 3 3
3 4 2
4 3 3
10 2
2 1 4
4 4 4
0 4 0
0 1 1
3 1 2
5 4 3
5 5 1
0 0 4
2 3 0
0 4 3
10 7
3 3 2
5 0 1
5 4 5
1 5 3
5 1 4
4 2 3
1 5 5
5 2 3
0 0 2
2 4 1
10 8
2 1 1
0 1 0
2 2 2
2 2 0
3 1 0
1 1 2
2 1 3
3 2 2
3 0 2
1 0 0
10 9
2 1 2
1 0 1
2 2 2
0 1 1
1 1 2
1 2 2
2 1 0
1 1 0
2 0 2
0 1 0
10 7
5 4 4
2 3 5
1 0 5
2 4 1
0 4 1
0 0 5
5 0 5
2 0 4
5 1 3
0 5 2
10 3
4 1 1
0 0 0
0 0 2
3 2 2
2 4 4
0 3 3
4 1 3
3 0 1
0 2 1
4 3 1
10 6
3 0 3
2 2 2
1 0 3
0 0 1
3 0 2
1 1 1
0 1 2
3 3 3
2 0 3
2 2 3
10 4
3 1 0
2 1 3
0 2 1
0 1 3
2 1 1
3 3 2
0 1 2
2 3 0
3 2 0
0 0 3
10 8
1 0 4
4 4 1
2 0 0
0 4 3
4 0 3
2 1 1
4 4 3
0 1 2
4 2 4
3 2 4
10 6
1 1 0
2 2 0
0 1 1
2 2 1
1 1 2
0 0 0
0 2 2
2 0 2
0 1 2
0 2 0
10 7
0 2 1
1 1 2
1 2 1
1 0 1
1 2 0
2 0 1
1 0 0
0 1 0
0 0 2
1 2 2
10 8
4 4 0
4 0 0
2 1 4
0 4 2
0 1 4
2 2 3
1 1 2
2 3 1
2 2 2
1 4 0
10 9
3 3 0
0 0 1
3 4 1
4 4 3
1 0 3
0 3 0
3 2 2
2 2 1
2 3 0
1 4 0
10 2
5 1 4
1 0 1
2 1 0
3 1 3
1 3 3
1 1 4
3 5 1
5 3 3
2 4 3
0 3 0
10 4
1 2 1
0 1 2
1 1 2
1 0 0
0 1 0
2 1 2
2 2 1
1 0 2
0 2 2
0 0 2
10 6
5 1 0
4 1 4
4 5 2
2 0 0
3 4 3
3 1 4
1 0 0
1 0 2
1 0 3
0 0 3
10 3
1 2 5
1 3 2
4 5 4
1 3 1
0 1 4
3 0 1
3 5 3
2 4 1
3 2 5
3 1 1
10 4
1 1 2
1 0 2
1 2 1
2 1 1
2 0 2
2 2 2
0 0 2
0 2 1
1 2 0
0 2 2
10 4
4 3 4
4 2 4
2 5 5
4 4 2
2 4 5
0 5 1
3 5 5
4 4 0
3 5 0
2 5 2
10 5
0 0 3
1 0 1
0 5 1
3 1 0
2 4 5
5 0 4
1 4 4
5 4 3
0 3 2
1 2 3
10 9
2 2 5
5 4 0
1 2 3
0 1 3
5 0 4
0 3 2
2 5 0
4 1 2
3 2 1
1 4 2
10 4
0 0 0
1 0 1
1 2 1
2 2 2
2 1 1
0 2 2
2 2 0
2 2 1
2 0 0
0 2 0
10 9
1 0 0
0 1 3
1 0 2
0 2 2
1 2 2
1 2 0
3 1 1
2 2 3
0 1 1
2 1 3
10 7
0 0 0
1 1 2
1 0 2
2 1 1
2 1 2
0 0 1
2 2 1
1 1 1
1 2 2
2 0 0
10 8
0 4 1
0 5 3
2 0 4
3 3 4
4 4 4
5 3 4
1 4 0
2 5 3
3 1 5
0 0 1
10 9
4 3 4
1 0 1
0 2 1
2 3 3
2 2 0
3 1 0
2 4 0
1 2 2
1 4 4
3 4 3
10 9
2 2 2
1 0 2
2 2 0
2 0 1
0 2 1
0 1 0
1 0 1
2 1 1
0 2 2
1 2 2
10 4
5 5 3
2 4 3
5 1 1
4 0 0
5 4 3
2 4 4
4 3 5
2 0 4
1 4 1
1 2 0
10 7
2 1 1
0 0 2
2 2 0
0 2 2
0 2 0
0 1 2
1 1 0
1 0 0
0 0 0
2 1 0
10 9
2 4 4
5 2 5
2 3 4
2 1 4
2 5 1
3 4 5
0 1 4
1 2 0
2 5 4
0 2 0
10 4
1 1 3
0 3 2
2 0 0
1 1 1
1 2 1
1 1 2
0 0 2
2 1 0
1 0 0
3 3 0
10 7
0 1 4
0 4 2
2 0 3
0 0 2
4 3 0
1 1 0
0 1 1
4 0 4
1 3 2
4 3 2
10 9
1 2 2
1 2 1
0 1 0
2 2 1
0 1 1
1 1 2
1 1 0
2 1 0
0 0 0
1 2 0
10 3
0 0 0
0 1 0
2 0 2
2 1 2
2 0 0
1 0 1
0 0 2
2 2 0
1 2 0
1 1 0
10 8
2 0 4
3 4 0
3 0 4
1 4 3
1 1 3
3 1 1
4 0 3
4 4 3
0 4 1
1 3 2
10 2
5 5 1
2 1 3
3 3 2
1 1 5
3 3 4
3 4 5
5 5 3
5 5 2
4 2 0
0 0 3
10 9
1 0 0
2 0 1
0 2 0
0 1 0
1 0 2
0 0 2
1 1 0
0 2 2
2 1 0
0 1 2
10 3
3 1 2
1 5 2
4 0 5
0 0 3
0 2 1
0 5 2
5 3 5
5 2 3
2 3 5
3 2 3
10 3
0 1 0
2 4 4
0 4 3
1 4 2
0 2 2
4 2 0
1 2 1
1 3 0
4 3 1
3 2 3
10 5
1 2 1
2 2 0
1 0 2
2 1 0
2 0 2
1 2 2
0 2 2
0 1 0
1 0 1
1 2 0
10 5
5 1 0
3 4 3
4 2 4
2 1 0
1 0 5
4 0 1
4 2 1
1 0 0
1 3 0
5 2 2
10 8
1 1 0
0 0 1
1 2 0
1 2 1
1 0 2
2 2 2
1 1 2
1 1 1
0 0 2
0 0 0
10 9
0 0 2
1 1 1
2 1 1
2 0 1
0 0 1
0 1 1
2 1 2
1 2 2
1 2 1
0 1 0
10 3
0 2 5
1 2 4
4 2 5
2 4 2
2 0 3
1 5 2
2 2 4
0 0 1
1 3 2
1 4 0
10 9
1 0 2
3 4 0
1 5 2
5 3 5
0 0 0
2 2 1
3 5 5
3 5 1
0 5 5
1 1 1
10 5
2 0 2
2 3 1
0 3 1
2 0 0
3 0 2
0 1 1
2 2 0
0 2 1
3 2 1
3 1 0
10 9
3 3 5
2 0 5
1 2 0
2 2 4
4 0 5
3 2 4
1 5 0
5 3 2
2 3 1
2 4 2
10 5
3 3 1
0 4 1
4 1 3
2 5 0
5 2 2
1 0 1
0 4 3
2 4 2
3 5 0
3 4 0
10 7
3 0 0
0 0 4
0 4 3
1 2 3
2 3 1
4 4 5
2 1 0
3 2 2
0 5 0
1 0 2
10 3
2 2 0
2 2 3
3 3 1
3 1 2
1 3 3
0 0 1
1 3 1
3 1 0
1 0 0
3 0 3
10 4
0 3 4
0 1 0
1 4 5
1 4 0
1 5 0
4 0 3
1 5 3
2 5 2
0 3 3
1 2 5
10 8
2 0 0
0 1 0
1 0 0
0 0 0
0 2 1
2 1 2
2 1 1
2 2 0
0 1 2
0 1 1
10 7
0 3 0
2 2 0
2 2 3
1 1 0
2 1 1
3 0 1
0 0 3
3 2 2
1 0 2
0 2 0
10 3
2 1 3
2 2 3
1 1 5
5 4 3
5 3 2
4 1 2
3 5 5
2 2 5
2 4 4
0 5 0
10 2
3 3 0
2 0 0
2 0 4
2 1 2
2 3 1
4 1 2
4 0 4
0 2 2
2 4 1
3 4 3
10 8
5 4 1
0 2 0
0 4 0
2 2 1
1 3 5
2 3 1
4 4 5
1 4 2
1 0 1
4 0 1
10 9
2 3 2
1 1 2
0 3 3
0 2 3
1 0 2
2 1 0
3 0 1
0 0 3
2 0 2
3 0 3
10 9
4 3 1
1 4 4
1 2 3
2 2 0
2 0 4
2 2 1
2 0 3
3 4 1
1 4 0
3 3 3
10 9
0 4 0
4 1 4
4 2 0
3 0 0
2 2 1
4 0 2
1 0 1
4 3 1
1 4 2
2 0 3
10 7
2 1 2
2 2 1
3 2 2
3 0 3
3 0 1
0 0 0
2 2 0
1 0 2
0 1 0
0 2 0
10 6
3 3 1
1 1 2
2 2 2
0 2 3
3 1 1
1 2 2
2 0 0
3 3 0
0 3 0
2 3 1
10 4
0 0 1
1 0 2
1 2 2
2 2 2
2 0 0
0 1 1
0 1 2
2 0 1
0 0 2
2 1 0
10 8
4 3 4
3 4 3
0 0 1
4 2 4
2 3 3
2 3 1
3 0 4
1 3 0
2 1 1
1 3 4
10 4
1 2 2
1 1 1
0 0 1
1 2 0
3 3 1
1 2 1
2 3 3
2 2 2
0 2 1
2 2 3
10 2
1 0 1
2 0 2
0 2 0
2 2 2
1 0 2
2 1 0
1 1 2
0 0 1
0 0 2
1 0 0
10 5
2 0 1
3 3 3
1 2 1
0 1 3
1 1 3
0 2 3
1 1 2
3 0 1
3 0 0
2 2 1
10 3
0 4 0
0 2 4
0 0 0
2 4 1
0 4 2
2 2 1
3 3 4
4 1 4
4 0 1
2 2 3
10 8
4 0 0
2 2 1
4 0 3
3 5 3
2 2 5
1 3 1
4 2 3
5 4 2
0 2 1
3 3 3
10 7
4 2 0
5 3 4
5 1 1
1 2 2
3 1 5
5 0 5
2 5 2
1 2 1
4 3 1
3 0 4
10 5
2 1 3
0 1 2
0 0 0
2 1 1
3 3 0
1 1 2
0 2 0
3 0 1
1 1 0
1 0 3
10 3
2 0 0
0 0 1
2 0 2
0 0 0
1 0 2
1 0 0
1 1 0
1 2 0
1 1 2
1 0 1
10 6
2 0 0
1 2 2
0 2 2
0 1 2
0 1 0
0 0 2
2 0 2
0 2 0
1 2 0
2 1 1
10 3
2 1 4
2 4 1
2 2 4
1 0 0
2 0 1
1 4 4
3 2 0
0 0 2
3 2 2
2 2 1
10 9
0 1 2
4 4 3
4 3 1
3 3 2
1 0 3
3 0 4
1 1 0
0 3 2
0 1 4
1 0 2
10 8
1 0 1
1 1 0
2 0 2
2 2 1
2 0 0
0 2 0
0 0 0
1 2 1
2 2 2
0 2 1
10 9
4 1 0
0 3 4
3 4 4
5 1 4
5 0 0
2 2 5
4 5 1
4 4 5
0 1 5
4 5 2
10 6
2 3 0
1 2 0
3 0 0
2 1 2
2 1 1
1 1 2
3 0 3
0 3 3
1 0 0
1 3 3
10 4
3 3 2
1 3 2
1 1 1
1 0 3
0 1 3
3 1 1
2 1 3
3 2 3
0 0 0
1 3 3
10 6
3 2 2
4 4 1
3 4 3
4 3 1
5 2 0
2 3 2
2 5 4
5 1 0
0 3 5
5 3 0
10 4
1 2 1
0 2 4
2 3 4
4 1 3
1 3 4
0 2 1
2 1 3
4 4 0
0 0 2
2 1 0
10 5
0 1 0
0 4 1
4 2 3
2 4 2
3 0 3
2 2 4
3 1 4
3 3 1
2 0 2
4 1 0
10 7
0 3 1
4 4 3
1 2 5
4 4 4
1 3 0
1 4 4
4 5 5
0 1 2
3 2 2
2 4 5
10 9
0 2 1
2 0 0
0 1 1
2 2 0
1 0 0
0 1 0
2 2 1
2 1 0
1 0 1
1 2 2
10 3
3 0 2
2 1 3
3 2 0
3 3 2
0 2 2
2 0 2
2 1 2
3 1 2
2 1 1
2 2 2
10 6
0 1 1
4 0 3
4 3 4
4 1 1
4 0 4
1 4 3
0 4 3
4 0 2
3 4 3
1 3 2
10 9
1 2 1
3 3 2
2 0 3
2 0 2
0 3 0
2 2 0
2 3 3
3 3 0
1 2 2
3 0 3
10 5
2 1 0
1 1 1
1 1 2
0 0 2
1 0 1
2 0 2
2 2 1
1 2 0
1 2 1
1 0 0
10 5
3 3 1
4 1 2
1 0 0
3 3 0
1 1 2
4 0 2
0 1 3
4 3 4
0 2 4
1 2 0
10 8
2 1 0
1 2 2
2 2 0
2 2 1
0 1 0
0 0 2
1 2 0
2 0 1
1 1 0
0 1 1
10 9
3 0 3
4 0 1
2 1 0
0 4 4
2 3 4
2 0 1
3 4 4
3 1 4
1 0 3
0 1 3
10 8
3 1 3
2 2 0
0 2 1
1 1 3
0 1 3
2 1 2
1 0 3
1 3 3
2 2 2
1 0 2
10 3
0 0 1
1 1 0
0 1 1
1 1 1
2 1 1
2 1 0
2 2 0
2 2 1
0 1 2
2 2 2
10 2
1 2 3
1 0 0
0 1 0
2 2 0
0 3 1
2 0 1
3 3 0
1 1 2
1 2 2
0 0 0
10 2
2 2 2
0 2 0
1 1 3
3 1 3
1 2 2
3 0 0
1 3 0
2 1 2
0 2 1
0 0 0
10 8
4 3 0
1 0 1
2 2 1
3 0 4
2 1 1
3 4 0
4 4 4
3 1 3
4 3 1
0 0 4
10 7
0 0 4
2 2 0
2 0 1
3 1 0
4 3 0
2 4 1
3 0 4
4 0 1
4 0 2
3 1 2
10 7
5 1 1
1 2 1
1 1 1
4 1 2
4 3 1
3 1 5
0 2 5
5 5 1
4 3 0
0 4 1
10 7
1 2 1
0 0 1
1 2 3
2 1 0
0 1 2
0 1 1
1 0 0
1 1 3
1 1 2
1 2 2
10 8
4 1 3
0 1 2
4 2 1
4 4 3
2 1 2
3 4 0
0 4 4
2 2 0
1 3 1
4 4 1
10 9
1 2 0
2 1 2
0 1 2
1 0 0
2 0 2
1 1 1
1 2 2
0 2 2
1 2 1
0 2 1
10 6
0 2 1
3 2 0
1 3 1
1 0 1
0 1 3
3 1 2
2 1 1
0 1 1
0 2 3
1 2 3
10 8
1 0 3
1 4 3
1 2 1
3 0 5
5 3 3
4 2 0
3 5 4
0 5 2
2 1 5
0 1 3
10 3
2 1 4
4 1 0
3 4 4
0 0 2
1 3 1
4 3 1
2 0 0
4 0 1
4 1 2
4 4 4
10 3
2 2 3
0 2 3
0 0 3
2 1 1
1 3 1
1 0 2
1 1 2
2 0 0
3 1 2
0 3 3
10 2
4 3 5
3 5 3
3 2 1
0 0 4
1 3 1
0 0 3
3 1 5
3 5 5
3 2 3
3 5 1
10 7
5 0 0
3 5 3
4 3 0
3 0 1
2 1 1
5 1 2
4 2 0
2 1 0
1 3 2
5 4 3
10 9
2 0 2
0 0 0
0 0 1
0 1 0
2 2 1
0 2 0
0 0 2
2 0 1
1 0 2
1 2 2
10 2
0 3 1
0 0 0
3 2 0
0 2 0
2 2 3
0 2 1
1 2 0
0 0 3
3 1 3
1 2 2
10 8
3 0 2
3 0 1
0 0 2
0 0 0
2 3 0
1 2 2
1 2 3
1 2 1
1 3 1
0 1 2
10 2
3 0 5
5 5 4
1 4 1
1 3 5
2 5 1
1 1 1
0 2 0
3 4 0
4 4 2
2 4 0
10 2
1 3 1
2 0 1
0 1 1
2 3 3
3 1 1
3 1 0
2 2 2
0 1 2
2 1 2
1 3 3
10 6
2 0 1
2 1 0
2 0 0
0 2 2
0 0 2
1 2 2
2 2 0
1 1 0
2 2 1
2 0 2
10 6
1 2 0
2 4 1
5 0 4
1 0 1
0 2 0
3 0 4
3 1 5
5 5 2
5 2 5
4 2 2
10 3
0 2 2
1 0 2
0 0 1
1 2 1
2 1 1
2 2 1
1 2 2
0 1 0
2 2 0
0 1 2
10 5
1 1 0
1 2 1
2 1 3
3 0 2
3 1 2
1 0 3
0 3 2
1 2 2
0 3 1
1 0 0
10 9
0 3 2
2 3 2
1 0 0
1 1 2
1 1 1
0 1 3
2 3 1
2 2 3
3 0 0
0 3 3
10 4
0 2 4
3 0 0
1 4 5
0 5 4
3 2 4
4 4 0
0 2 3
4 0 0
3 3 4
3 4 4
10 8
0 1 2
0 4 2
1 1 3
4 4 3
2 1 4
0 1 3
1 4 3
1 2 1
2 0 3
2 4 3
10 5
2 2 3
3 0 1
2 0 1
3 0 0
0 2 0
3 3 0
1 3 3
0 1 3
2 1 3
1 2 1
10 5
2 1 2
0 1 2
2 3 1
0 3 3
3 0 0
3 0 3
1 0 2
1 2 0
3 2 3
1 3 0
10 5
0 0 2
2 2 2
2 2 1
2 1 1
2 0 0
0 0 0
2 1 2
1 0 2
0 1 1
1 1 0
10 9
0 1 2
0 1 1
0 1 0
2 2 2
1 0 1
0 0 2
2 0 2
2 0 0
2 2 1
2 2 0
10 8
2 3 0
2 2 2
0 3 1
0 1 1
2 2 0
0 3 0
3 1 3
2 2 3
1 2 2
3 3 0
10 3
1 1 0
2 1 1
2 0 2
0 0 0
0 1 1
0 1 2
1 2 1
0 0 2
1 0 2
1 0 0
10 9
1 0 2
0 1 2
0 2 0
1 0 0
1 1 2
1 0 1
0 2 2
0 0 1
2 1 2
2 0 2
10 8
2 2 3
2 1 1
1 3 3
1 1 2
1 1 3
2 2 0
0 2 2
3 2 1
2 2 1
0 3 2
10 5
0 4 4
0 5 4
1 5 0
5 0 3
3 1 4
0 3 0
5 3 4
0 0 3
4 4 3
0 4 5
10 7
0 1 3
1 0 1
3 3 1
3 0 0
0 0 2
1 1 1
0 1 0
0 3 3
3 1 2
0 3 0
10 8
2 3 2
0 1 0
2 1 1
2 2 2
2 1 3
2 3 0
3 0 1
1 1 2
0 1 2
1 0 3
10 7
0 3 4
4 4 4
2 1 4
4 3 3
1 0 3
4 4 2
1 0 0
0 0 1
4 2 1
0 4 0
10 3
2 4 2
3 4 2
1 4 0
3 2 1
2 3 3
4 4 0
4 1 4
1 3 4
1 4 4
1 1 4
10 9
2 0 1
0 0 1
0 2 2
0 1 2
1 1 1
2 0 2
2 1 1
1 0 0
2 1 2
0 2 1
10 3
0 2 2
0 2 0
0 0 1
2 1 1
2 1 0
2 0 0
2 0 2
1 0 1
0 0 0
0 1 0
10 5
0 0 1
1 0 2
1 1 1
1 0 1
0 0 0
2 1 0
0 2 0
1 0 0
2 1 1
2 0 1
10 2
5 3 3
1 2 0
1 3 1
3 0 2
0 2 0
4 2 4
3 0 4
4 5 5
4 2 5
3 1 1
10 8
0 0 2
2 0 1
2 2 1
0 0 0
2 1 0
2 2 0
0 1 1
0 2 0
1 2 0
0 2 2
10 3
0 0 3
3 1 2
2 2 3
0 0 2
1 3 0
3 0 2
2 1 2
3 3 3
3 3 0
0 3 3
10 8
3 4 2
3 4 0
2 2 2
4 0 0
4 3 2
4 3 0
0 4 3
3 1 1
1 0 0
1 3 3
10 9
1 1 2
0 2 1
0 2 2
0 0 0
1 1 0
2 0 1
2 2 2
1 2 0
2 1 1
2 2 0
10 4
1 0 1
0 0 1
2 0 1
2 1 2
0 2 1
1 2 0
1 1 0
0 0 0
1 1 2
0 2 2
10 4
3 2 0
2 1 4
4 1 0
0 3 3
1 1 4
4 3 1
0 4 3
0 0 0
1 4 4
0 1 3
10 3
1 2 0
0 0 0
0 2 1
2 1 2
1 0 2
2 0 1
2 1 1
1 2 1
1 1 0
0 0 2
10 7
4 5 4
4 3 0
3 5 0
3 4 0
2 1 1
4 2 2
2 4 3
0 5 2
2 2 4
0 5 1
10 8
4 2 1
2 2 3
4 1 3
0 4 1
1 3 0
1 0 1
0 3 3
1 2 0
2 2 2
3 1 0
10 6
4 5 0
4 1 0
0 5 5
4 4 5
5 2 0
2 3 2
3 5 2
0 3 5
5 4 1
3 4 5
10 4
1 0 4
1 1 2
2 1 2
0 0 3
2 0 2
3 1 1
4 0 0
0 2 1
4 3 2
1 4 2
10 6
0 2 1
0 2 4
5 3 2
3 2 1
4 0 3
0 5 5
3 5 4
0 0 5
3 0 5
1 4 0
10 9
5 5 3
3 0 1
4 0 5
4 1 0
3 5 2
4 4 0
1 2 4
0 4 1
2 0 4
3 2 5
10 5
0 1 1
0 0 1
0 1 2
0 2 0
0 2 1
2 0 0
0 0 0
0 2 2
1 1 0
2 2 1
10 3
3 0 0
3 3 2
1 0 3
3 3 0
1 1 0
1 1 1
1 2 0
0 2 0
3 2 3
2 0 1
10 4
2 1 0
1 0 0
1 2 2
2 0 0
2 2 0
0 2 1
1 0 2
2 0 1
0 0 2
1 0 1
10 6
1 0 3
2 2 2
2 3 3
3 3 1
3 1 3
2 1 1
0 1 0
2 3 2
0 2 2
0 2 0
10 6
1 4 0
1 4 1
2 2 1
2 2 0
0 1 2
0 3 1
2 3 4
0 3 0
4 1 4
2 4 4
10 3
0 0 0
2 2 2
1 0 1
0 2 0
2 1 1
2 1 0
2 2 1
2 1 2
0 1 2
2 0 1
10 6
1 2 1
1 0 2
2 1 1
0 2 0
1 1 0
0 1 1
0 1 2
0 2 2
0 2 1
0 0 2
10 3
1 0 4
1 4 5
0 2 1
2 4 3
2 1 0
3 2 2
0 3 0
5 3 1
0 1 3
0 4 1
10 3
3 1 2
0 3 3
0 1 3
3 3 3
2 2 1
3 2 1
2 3 2
2 1 3
2 2 3
1 2 0
10 3
5 3 5
2 0 2
3 4 2
2 3 2
5 2 4
2 3 4
2 3 0
1 5 0
4 2 3
5 4 4
10 2
3 2 3
0 0 2
5 0 0
2 1 5
1 2 3
0 0 0
0 3 3
1 3 1
5 5 0
5 1 4
10 4
0 0 3
4 0 3
0 3 0
3 0 1
1 1 2
3 5 0
0 2 5
2 5 3
0 4 1
5 1 4
10 8
1 0 3
0 2 2
0 0 1
0 1 3
1 1 3
3 3 0
1 1 1
1 3 3
3 3 1
3 3 3
10 3
0 4 4
4 1 4
0 4 0
4 4 2
2 2 1
4 3 0
2 0 3
4 0 0
3 2 3
1 2 3
10 5
4 0 2
2 3 1
4 1 2
4 1 4
4 2 3
1 1 0
0 0 3
1 4 1
0 4 0
2 1 0
10 2
1 0 1
2 3 1
1 3 0
3 1 0
3 1 1
2 2 2
1 3 3
1 1 3
3 3 2
1 1 0
10 2
2 1 1
5 2 4
4 4 3
4 3 0
1 4 5
2 5 3
1 3 5
2 1 3
5 0 0
5 3 0
10 7
3 3 1
2 0 0
3 1 0
1 3 0
4 1 1
2 0 1
0 2 3
3 0 3
3 3 2
1 1 2
10 9
0 0 0
2 0 3
3 1 3
3 1 2
3 0 0
3 2 1
2 2 0
1 1 1
0 3 2
0 1 1
10 2
1 3 0
1 2 2
0 1 0
1 0 2
2 3 3
0 1 2
3 3 1
2 1 3
0 0 0
3 3 0
10 6
2 3 2
2 0 2
3 1 0
3 0 0
1 0 3
2 2 1
1 2 2
3 3 1
1 1 0
0 0 2
10 4
0 0 1
3 1 3
2 4 3
0 4 4
3 1 2
3 0 2
4 4 4
2 3 1
2 0 2
0 3 2
10 6
1 1 0
3 1 2
3 0 3
1 0 0
1 0 1
1 3 3
3 0 0
0 0 1
1 1 3
0 0 0
10 7
1 0 2
1 1 0
0 1 0
0 0 1
0 1 1
1 1 2
1 2 1
1 0 0
2 1 0
0 1 2
10 4
5 0 0
1 1 0
0 4 2
3 5 4
2 3 1
0 4 5
2 1 0
3 1 5
1 4 4
0 1 1
10 5
0 2 0
0 0 2
1 1 0
1 1 1
0 2 2
1 1 2
2 0 1
1 2 0
2 1 1
2 0 0
10 9
3 0 0
3 1 1
1 4 4
0 0 1
4 3 3
3 4 3
0 1 2
2 0 0
2 0 3
3 3 4
10 6
1 2 1
2 2 0
3 3 0
3 3 3
3 1 1
2 0 2
1 2 0
2 3 1
2 3 2
0 3 2
10 4
1 3 1
3 0 0
3 0 2
0 2 0
2 3 0
0 0 1
0 0 3
1 1 3
3 3 2
1 0 0
10 3
2 0 2
2 0 0
2 1 1
0 0 1
0 1 1
1 2 0
0 2 0
0 1 2
1 2 2
2 2 2
10 4
1 2 0
1 0 2
0 0 1
1 2 1
1 1 2
0 1 2
1 0 0
2 2 0
0 2 1
1 2 2
10 2
1 1 2
4 1 0
0 2 4
4 1 1
3 4 3
0 1 0
1 0 4
3 0 1
2 0 4
4 0 3
10 2
2 1 1
0 4 5
5 2 5
3 1 4
0 3 0
5 4 3
1 3 0
1 3 5
1 0 4
4 2 5
10 3
2 2 0
1 1 0
0 1 0
2 1 2
0 1 1
2 1 0
0 0 1
0 2 2
0 0 2
1 2 0
10 5
1 3 3
3 2 1
3 2 3
3 0 2
4 1 4
1 1 2
5 5 1
0 0 1
0 2 5
5 1 0
10 5
1 3 2
0 1 1
2 1 1
2 2 0
2 1 0
3 0 3
0 0 3
2 3 3
1 2 2
0 0 0
10 3
2 1 2
1 0 1
2 0 0
0 1 2
0 2 1
0 0 1
1 2 0
2 2 0
2 0 2
2 0 1
10 7
3 2 2
1 4 2
4 4 2
3 2 5
3 1 3
2 5 3
1 5 4
3 1 5
1 5 1
5 2 0
10 2
1 1 1
0 1 1
3 1 1
3 3 1
1 0 1
2 0 2
2 2 0
0 0 0
1 0 2
3 2 1
10 8
0 2 0
1 2 2
0 1 2
0 0 0
2 1 0
1 0 2
1 1 0
1 2 0
1 2 1
0 2 2
10 2
2 1 2
1 1 0
0 0 1
0 1 1
1 1 2
1 1 1
0 2 1
0 1 0
2 2 0
1 0 0
10 6
2 2 1
0 1 3
3 3 0
1 0 0
0 3 1
3 3 3
2 3 2
1 2 0
3 0 0
3 1 3
10 3
4 2 2
4 1 2
1 0 5
2 0 2
0 0 0
2 5 4
5 0 5
0 2 3
2 2 2
2 0 1
10 9
1 2 2
3 4 5
4 5 1
2 4 3
5 0 0
1 2 5
0 2 3
1 5 4
3 0 3
0 1 0
10 5
0 2 1
2 0 1
0 0 0
0 1 0
2 2 2
1 1 1
0 2 2
0 1 1
2 1 1
2 2 1
10 2
1 1 3
3 1 1
0 1 0
2 0 3
2 3 3
2 1 3
0 3 1
3 2 3
2 0 2
3 1 0
10 9
1 1 0
1 0 1
1 2 2
0 0 0
2 2 1
0 0 1
1 1 1
2 2 0
2 0 2
0 2 2
10 9
3 1 3
2 2 1
1 2 4
5 4 2
4 4 3
2 1 1
1 5 1
0 4 2
3 0 5
3 4 2
10 3
3 0 0
1 0 3
2 2 0
1 2 2
2 2 3
3 1 1
2 0 0
0 2 2
1 2 0
0 0 2
10 9
2 1 3
3 2 2
0 0 2
3 1 1
0 1 1
3 2 1
1 0 1
2 0 0
0 2 1
3 0 3
10 9
1 3 3
2 2 3
1 1 2
1 0 0
1 2 3
0 0 0
3 3 3
2 1 0
2 0 1
3 2 3
10 8
3 2 0
3 3 0
2 3 3
2 3 2
1 0 1
1 3 2
1 1 2
0 0 1
0 1 0
0 0 2
10 2
4 4 3
1 1 4
4 4 2
3 4 4
0 0 4
0 0 3
0 4 1
3 2 1
1 3 4
1 2 1
10 9
1 2 0
2 2 0
0 0 1
2 1 2
0 2 1
0 0 2
1 2 1
0 1 1
1 1 1
1 2 2
10 3
3 3 1
3 5 5
4 5 0
5 5 5
1 1 5
1 1 0
2 5 5
1 3 2
4 0 0
4 5 4
10 4
2 3 1
0 2 2
1 0 2
2 1 1
3 1 3
0 3 0
3 2 3
0 2 3
3 3 1
1 2 1
10 9
3 1 0
0 4 4
1 3 0
1 0 3
3 1 3
0 1 4
2 1 2
2 2 4
3 3 3
4 1 3
10 3
1 0 2
4 1 2
3 2 3
0 0 0
3 2 2
2 1 2
0 0 4
4 4 2
0 2 2
3 4 3
10 3
5 4 2
5 3 3
0 3 4
0 5 1
4 5 3
4 0 4
5 4 1
1 5 0
4 0 3
5 2 3
10 9
0 4 4
0 2 2
2 0 0
3 3 2
5 4 3
3 5 4
4 1 1
1 2 2
4 4 5
0 0 2
10 2
0 1 4
4 5 1
0 1 2
0 1 0
4 0 3
4 2 1
1 0 4
5 4 2
2 4 0
5 5 5
10 8
5 2 2
2 4 3
0 5 5
0 0 0
0 3 5
3 3 3
3 3 1
4 1 1
0 5 3
0 0 1
10 8
3 2 1
1 3 3
3 3 0
2 2 2
1 2 3
0 2 0
0 3 1
0 1 1
0 3 0
3 0 3
10 3
1 2 2
1 0 2
2 0 2
1 1 1
2 2 1
1 0 0
2 2 0
1 0 1
1 1 2
2 0 1
10 5
1 3 3
0 3 2
3 2 0
2 2 3
3 1 1
1 1 1
1 2 3
2 2 0
2 3 2
1 1 2
10 3
0 1 3
1 3 1
1 3 2
1 2 3
1 3 0
0 3 1
2 3 3
3 2 3
3 3 3
0 0 0
10 3
0 2 2
0 2 3
1 3 0
2 0 3
0 1 4
2 4 4
0 0 1
3 1 2
2 1 4
2 4 1
10 3
0 0 1
1 2 3
2 0 2
1 3 2
3 2 1
0 3 0
1 3 3
0 3 3
2 2 1
1 1 1
10 9
4 2 1
0 3 2
2 1 2
3 1 1
0 4 4
0 4 1
1 4 0
4 0 2
4 3 3
3 4 3
10 8
4 0 3
1 5 4
0 0 1
0 4 5
2 5 2
0 1 4
3 2 0
4 4 3
1 0 4
5 0 3
10 9
1 1 3
0 2 0
1 3 2
0 3 2
2 0 3
1 0 2
0 0 2
3 3 2
3 3 3
2 2 3
10 9
3 2 1
4 2 3
0 2 1
3 3 2
4 2 4
1 3 2
4 0 4
4 4 2
3 0 0
3 4 4
10 8
1 0 1
1 1 1
4 3 1
0 0 3
2 4 3
3 2 2
1 4 4
2 0 2
0 3 2
0 2 4
10 5
0 2 1
3 0 1
1 1 3
3 3 3
0 0 0
0 1 2
3 1 0
2 0 1
1 1 0
0 1 1
10 7
2 2 2
0 2 1
2 2 1
1 0 2
0 1 2
0 0 0
0 2 0
1 1 1
2 1 0
2 1 1
10 2
0 0 0
0 1 0
1 1 2
1 2 2
2 2 2
1 0 2
0 1 2
0 1 1
2 1 0
0 0 2
10 2
1 1 3
0 0 1
0 3 3
0 0 3
1 3 0
1 0 0
1 1 0
3 1 2
1 1 2
1 2 3
10 9
1 0 0
1 0 1
0 2 1
2 0 2
2 2 1
0 1 0
2 1 2
1 1 1
0 2 2
2 0 0
10 6
5 5 0
0 0 0
2 3 1
0 1 1
0 2 3
1 1 0
4 2 1
5 1 2
4 4 5
3 3 5
10 8
3 2 0
2 2 3
2 1 3
3 1 1
1 2 0
0 1 1
3 3 1
1 3 1
3 3 2
3 2 3
10 4
2 2 0
0 2 0
1 2 0
1 1 2
0 2 1
1 1 0
0 1 0
2 2 1
2 0 2
1 0 0
10 2
1 0 2
2 1 0
0 2 0
2 1 2
1 1 0
0 2 2
2 0 0
2 2 2
0 1 1
0 0 2
10 9
4 3 2
1 3 1
4 1 4
2 4 2
2 1 4
0 2 0
0 4 0
0 1 0
3 3 4
1 3 2
10 6
1 0 4
4 0 1
4 3 4
0 1 4
0 2 2
1 0 2
3 0 0
0 3 2
1 0 1
3 0 3
10 4
2 2 5
3 3 3
0 4 2
4 5 1
2 4 1
5 0 2
2 1 2
0 3 0
0 0 4
3 3 2
10 8
3 2 1
1 0 1
2 1 3
1 3 3
1 1 3
2 0 1
0 1 2
1 2 3
0 3 3
2 3 2
10 8
3 1 4
4 0 2
0 1 4
1 0 2
0 3 4
4 1 1
1 4 3
2 1 3
1 3 1
3 2 4
10 7
1 2 0
2 2 2
0 1 0
1 0 0
0 0 0
0 2 2
2 1 1
0 1 1
0 2 1
0 0 2
10 3
3 5 3
1 4 1
4 3 5
0 0 5
1 0 0
2 2 2
3 0 4
5 3 2
4 2 4
3 4 3
10 5
1 5 0
5 3 0
1 3 0
3 3 2
1 1 4
0 2 1
1 5 4
4 2 2
4 4 0
3 2 2
10 4
2 2 0
2 1 0
0 2 0
0 2 1
2 2 1
0 1 0
1 0 0
2 2 2
0 0 2
0 0 0
10 8
0 0 3
3 3 2
0 1 1
0 2 1
0 1 0
3 2 3
1 0 2
1 3 2
2 3 3
3 2 0
10 4
2 3 1
2 0 2
3 0 2
1 0 3
1 3 0
3 3 1
1 3 3
2 0 1
2 2 1
2 2 3
10 2
1 3 1
0 0 1
3 3 0
0 2 1
2 3 0
2 2 2
1 2 3
0 3 3
1 3 0
3 0 2
10 6
2 2 1
3 3 0
3 1 2
2 0 2
2 3 1
3 0 1
2 3 3
0 0 2
0 3 0
2 1 0
10 6
0 1 0
2 2 2
2 1 2
0 1 2
0 1 1
1 2 0
1 0 2
1 1 0
1 1 1
1 0 1
10 2
3 1 3
3 3 2
0 2 3
3 0 0
0 0 2
3 2 3
0 0 0
1 3 3
1 3 0
1 1 3
10 6
0 0 3
4 3 1
2 2 0
3 0 3
0 0 0
4 0 1
3 2 2
2 3 4
1 1 0
2 1 3
10 4
0 3 3
2 2 0
2 1 2
2 2 3
2 3 0
3 3 2
0 0 2
3 0 2
0 1 0
0 0 0
10 7
3 4 1
2 1 1
2 4 4
1 0 1
1 2 0
0 0 3
3 1 4
3 4 3
0 3 0
0 4 0
10 7
0 3 4
0 0 2
2 0 1
1 4 3
0 3 0
1 3 2
3 3 4
0 1 3
3 4 2
0 0 1
10 8
1 0 0
1 0 2
1 1 2
0 1 0
0 2 0
2 0 2
0 0 1
2 0 0
1 2 0
0 1 1
10 9
1 4 0
3 4 3
1 4 1
2 2 3
2 2 4
1 1 0
3 0 2
1 4 4
2 2 2
3 1 4
10 6
0 2 0
0 0 2
3 0 1
2 2 2
2 2 0
2 3 0
1 2 1
0 2 2
0 3 1
3 3 2
10 4
3 2 2
4 0 0
2 2 3
1 1 2
4 0 3
2 3 1
2 3 0
2 0 0
4 2 1
2 1 2
10 5
2 5 5
0 0 3
5 1 5
5 1 1
3 5 0
0 4 5
5 3 1
2 0 4
0 4 0
0 5 1
10 7
1 3 3
3 0 2
2 2 3
2 1 3
2 2 2
3 2 0
0 0 3
0 2 2
1 2 2
2 2 0
10 3
3 2 1
1 2 2
3 2 2
0 3 2
1 3 3
2 3 3
1 3 0
2 0 0
0 1 2
2 2 2
10 3
3 2 2
1 1 0
0 0 3
3 5 2
4 5 4
3 4 2
5 4 3
0 5 3
3 2 1
5 5 5
10 2
2 0 1
0 1 2
0 2 0
2 1 2
1 2 1
0 0 1
0 2 1
0 0 0
2 2 1
1 1 0
10 4
3 2 5
1 0 1
3 3 4
5 3 4
4 4 2
5 5 1
0 0 4
4 2 0
2 1 0
1 3 2
10 9
0 1 3
1 3 3
2 3 3
0 0 0
1 3 1
3 2 2
0 1 2
2 3 2
0 1 0
1 1 2
10 8
3 4 4
3 0 4
0 3 0
1 3 2
1 1 4
2 2 4
3 3 2
4 0 0
3 4 1
1 3 1
10 8
2 3 3
3 3 1
3 2 0
1 2 1
0 3 1
3 0 3
1 2 2
1 0 1
2 1 3
1 2 0
10 5
2 2 1
2 0 1
0 2 1
1 1 0
1 0 1
0 1 0
0 1 1
2 2 0
2 1 1
1 1 1
10 7
1 3 3
3 1 3
0 2 2
2 1 1
1 1 1
0 3 0
1 2 1
2 2 0
0 3 3
0 1 1
10 6
3 0 0
4 4 4
5 2 2
5 1 1
4 5 5
2 5 4
4 2 3
2 4 5
0 0 1
4 4 5
10 8
5 4 3
0 4 5
4 3 2
5 4 4
3 3 4
0 5 5
5 0 0
1 4 5
5 5 3
3 5 5
10 8
2 5 0
4 4 0
2 5 4
5 5 4
0 0 1
5 3 2
2 5 2
2 2 2
2 2 4
0 0 0
10 6
2 2 4
3 3 2
0 3 2
1 1 1
1 3 2
1 1 2
1 0 4
1 2 3
3 3 4
0 4 0
10 3
4 5 3
1 2 2
4 0 2
1 5 2
4 4 2
2 1 0
3 1 0
1 2 1
0 3 0
2 2 4
10 5
0 2 0
3 0 2
2 3 2
1 1 3
0 2 1
3 3 1
3 1 2
1 2 1
1 0 2
1 3 2
10 9
0 1 1
0 0 1
2 2 2
0 2 1
2 1 1
2 2 0
1 0 0
0 0 2
0 1 0
2 2 1
10 6
0 2 3
3 0 0
0 5 0
3 3 0
4 2 0
5 2 3
1 3 0
4 4 0
3 4 3
4 0 5
10 2
3 0 2
1 5 3
1 4 5
0 2 2
3 5 1
0 5 0
4 4 2
5 5 0
2 2 2
1 4 0
10 8
4 2 0
3 2 0
4 1 0
1 0 4
1 2 3
3 1 2
1 1 4
4 4 0
4 3 2
2 1 3
10 2
0 0 1
0 2 3
2 0 2
1 1 2
2 0 0
1 3 3
3 1 2
2 3 3
3 0 1
1 3 1
10 9
2 1 2
1 2 0
1 0 0
0 0 2
0 0 0
0 0 1
1 1 1
2 0 1
2 0 2
2 1 1
10 7
1 5 2
3 2 5
4 2 4
1 4 5
4 3 0
1 3 3
1 5 5
0 2 1
5 3 1
4 4 3
10 6
4 1 4
0 4 2
2 3 5
4 4 2
3 0 1
0 0 1
0 3 2
4 1 2
4 0 3
3 1 0
10 9
2 3 5
4 1 0
1 3 2
3 0 4
4 5 3
0 4 1
0 4 0
1 2 2
0 3 5
3 3 2
10 3
0 3 5
3 3 1
2 3 0
1 3 0
5 4 4
3 3 2
4 0 4
5 0 5
3 4 0
1 5 3
10 6
0 2 0
1 0 0
2 3 5
2 5 3
2 5 2
5 1 5
1 1 1
2 3 3
4 2 2
5 4 2
10 9
2 0 2
2 3 2
3 2 2
0 1 3
1 0 1
2 3 3
1 3 2
0 3 3
3 3 2
2 1 1
10 3
1 0 1
0 1 2
1 1 1
1 0 2
1 2 0
1 1 0
2 0 0
0 2 2
2 2 1
0 2 1
10 8
3 1 3
3 0 4
3 1 2
3 0 1
2 3 4
0 1 4
0 1 0
1 0 2
3 4 0
1 0 4
10 8
3 2 1
2 3 3
1 1 0
3 2 0
3 2 2
1 3 2
2 1 1
0 3 3
2 1 0
2 2 1
10 8
0 1 1
0 2 0
1 0 2
2 2 2
0 1 0
0 0 2
1 1 2
0 2 1
2 0 0
1 2 2
10 4
4 2 2
0 4 1
3 1 4
4 4 0
3 4 2
4 4 3
2 0 4
2 3 2
0 3 3
3 2 0
10 5
0 3 3
5 1 4
5 3 0
2 2 4
2 1 5
0 2 4
2 5 1
0 0 3
1 4 1
4 1 4
10 6
3 0 1
1 2 0
0 3 0
2 2 1
1 3 0
3 0 0
0 0 1
0 1 0
0 2 3
3 3 0
10 7
0 0 3
1 2 3
0 2 2
1 1 3
1 1 0
3 2 0
3 0 0
3 3 0
3 2 1
1 0 3
10 7
2 3 1
1 1 2
2 2 2
3 1 3
2 3 2
3 2 1
3 0 1
3 1 1
0 3 2
1 2 2
10 7
2 3 4
0 1 2
2 0 0
3 0 0
1 3 4
2 5 0
5 5 0
0 0 1
4 1 5
0 1 4
10 7
1 2 0
0 1 2
0 3 2
2 2 3
3 1 2
3 0 3
0 3 1
1 1 1
3 2 3
0 1 1
10 7
1 0 4
0 4 3
0 4 0
2 1 1
5 2 4
1 2 5
3 5 4
3 0 2
1 0 5
3 4 3
10 7
1 2 5
4 0 2
5 4 3
4 1 3
5 0 4
1 5 2
0 5 5
1 4 2
5 1 2
3 4 1
10 2
0 4 4
3 2 4
1 3 2
2 0 3
2 2 4
1 1 3
4 2 0
1 3 3
0 3 4
3 1 1
10 8
0 3 2
0 1 1
1 1 0
0 0 1
0 1 2
3 0 3
1 2 1
3 3 2
0 2 3
2 1 2
10 9
1 2 1
3 1 2
1 1 0
1 2 2
3 1 3
0 0 0
0 3 0
0 3 1
2 0 0
0 0 2
10 8
0 2 0
4 1 4
2 3 0
1 5 2
5 4 4
3 2 1
2 2 5
3 5 4
5 5 3
2 1 0
10 6
1 4 4
2 2 4
0 2 4
1 0 0
4 0 2
2 0 1
2 3 0
2 0 2
0 0 3
2 2 2
10 6
0 0 3
3 3 2
3 0 1
3 2 1
1 0 3
3 0 3
3 0 2
2 1 1
0 3 3
2 2 2
10 5
3 2 1
3 3 3
1 0 4
1 0 1
3 4 3
1 1 1
2 3 2
0 3 3
3 3 2
2 2 0
10 7
3 2 2
0 3 1
0 0 3
3 2 3
2 0 1
2 1 0
1 3 1
1 0 3
2 3 2
1 2 2
10 2
3 4 3
1 1 5
0 4 0
0 3 3
1 1 3
2 0 4
1 5 5
5 2 4
3 4 0
4 0 1
10 8
0 2 0
1 0 2
0 3 2
0 2 1
1 0 3
2 0 2
0 0 2
0 2 2
3 2 2
1 2 1
10 4
3 0 0
2 3 5
3 2 2
3 5 0
1 2 0
2 1 1
2 2 0
0 3 5
5 2 0
0 3 4
10 2
1 3 1
1 3 2
2 2 3
4 3 1
0 0 2
3 2 0
3 1 1
3 0 2
4 3 2
2 0 3
10 6
4 5 1
5 0 2
3 3 5
5 0 4
2 3 0
3 0 1
0 1 0
3 2 2
1 1 2
1 5 3
10 7
3 3 3
3 4 1
0 4 5
5 1 2
5 1 4
1 4 1
4 3 0
4 3 5
5 4 4
4 0 4
10 2
0 1 1
2 0 2
0 2 1
1 2 2
2 0 0
2 1 0
1 0 2
0 2 0
2 2 2
2 2 1
10 8
0 1 0
2 2 1
2 2 2
1 1 2
1 0 0
2 1 2
1 0 2
0 2 0
1 0 1
0 1 2
10 8
3 0 2
2 1 2
2 1 1
0 3 0
0 0 0
0 2 3
1 0 3
1 1 2
3 1 0
1 0 2
10 3
2 5 1
3 3 3
3 0 5
5 3 5
4 2 3
4 5 1
5 5 4
3 5 0
5 3 1
4 2 1
10 5
0 2 4
2 3 3
3 1 0
2 4 0
4 2 0
2 1 2
4 0 2
2 4 4
0 4 1
3 0 0
10 5
3 2 1
3 4 1
3 2 4
1 3 1
0 2 1
2 0 2
5 4 1
1 2 2
2 1 4
4 5 0
10 3
4 4 3
4 3 4
1 4 3
2 1 2
3 2 1
1 4 0
4 3 0
2 0 4
2 3 4
0 2 2
10 8
0 0 2
0 1 0
0 0 1
3 2 2
1 1 2
3 2 3
2 0 3
2 1 0
0 0 3
1 1 1
10 3
1 2 2
1 1 2
0 1 0
0 1 1
1 2 0
0 2 1
2 0 1
2 0 2
2 1 0
2 2 0
10 7
4 1 1
2 1 0
0 0 4
1 4 4
4 0 5
3 0 0
1 1 0
5 4 2
2 4 1
0 4 2
10 8
3 3 2
1 0 1
0 0 0
0 0 1
1 0 3
1 3 0
3 1 1
2 3 0
3 1 0
2 2 2
10 6
1 2 1
4 2 4
3 1 0
4 4 0
3 0 3
1 4 1
2 3 0
2 4 4
4 4 4
3 4 1
10 8
1 1 0
1 1 1
1 2 0
1 0 0
0 2 2
2 2 0
2 2 1
1 0 1
0 2 1
2 0 1
10 4
0 1 3
4 2 0
1 1 3
4 1 1
2 3 4
1 2 2
3 1 3
3 2 0
1 1 2
2 0 1
10 8
3 4 0
4 1 1
1 5 3
3 1 4
2 3 1
1 3 0
4 2 5
2 5 3
5 4 4
5 1 3
10 6
0 4 4
4 3 2
3 1 2
3 3 0
3 2 3
2 4 3
1 4 1
1 0 2
1 1 2
1 3 3
10 9
2 1 0
2 2 0
4 3 3
0 2 0
4 2 4
4 4 0
4 1 0
4 2 2
3 1 1
0 0 2
10 3
1 2 1
0 1 1
0 2 0
0 0 1
0 0 2
0 2 1
1 1 1
1 0 1
1 0 2
2 1 0
10 8
0 1 0
3 2 3
3 1 0
3 2 1
2 0 3
3 3 2
1 1 0
1 3 2
2 2 1
2 2 2
10 9
1 3 2
4 3 2
0 4 2
4 2 2
0 0 1
3 1 4
4 0 2
2 0 4
3 4 0
4 0 1
10 3
0 1 1
5 3 1
2 1 0
1 5 1
2 0 0
2 4 1
2 3 5
0 5 5
3 4 0
1 0 5
10 2
1 0 0
3 3 2
1 2 0
2 2 3
0 3 3
2 1 1
2 1 0
2 0 0
0 2 1
1 0 2
10 2
2 1 3
2 4 1
5 2 3
5 4 2
4 1 1
5 5 5
3 5 3
1 0 0
4 5 2
0 1 5
10 7
4 3 1
3 1 3
0 2 2
1 3 1
0 0 2
1 3 0
0 2 4
2 0 1
1 1 1
0 3 2
10 4
2 2 1
4 0 3
2 3 1
4 4 4
3 2 4
2 0 2
3 3 4
3 2 0
4 1 4
3 1 0
10 7
1 4 1
1 0 5
1 0 2
3 5 4
2 4 0
0 2 1
5 4 4
0 5 1
3 0 5
3 5 3
10 9
1 1 3
2 1 0
1 1 2
3 0 0
2 2 0
4 3 0
4 2 2
1 3 2
4 3 1
4 2 3
10 8
5 3 2
1 0 3
3 3 2
1 4 0
3 1 2
3 2 1
5 4 3
1 2 3
3 3 0
2 4 0
10 9
2 0 2
1 1 0
0 0 2
2 2 0
0 2 2
1 0 2
2 1 1
2 1 0
1 2 2
0 1 1
10 9
1 2 2
0 2 1
0 2 0
2 1 2
2 1 1
0 0 0
0 1 2
2 0 0
2 2 1
1 0 0
10 2
1 2 0
3 4 4
3 4 1
2 3 1
1 1 0
0 3 2
2 1 0
4 3 2
2 1 2
2 4 0
10 3
4 4 0
5 2 1
0 4 4
4 5 4
3 3 2
1 0 5
3 5 0
1 2 5
0 1 4
3 5 2
10 7
1 0 0
1 1 2
2 2 0
2 0 1
1 1 1
0 1 2
0 0 2
0 1 1
0 0 1
2 1 2
10 4
3 4 1
1 2 3
1 0 1
1 4 3
3 1 1
2 1 4
2 4 4
2 3 4
1 4 0
4 1 1
10 8
1 2 1
1 2 2
2 2 2
1 0 0
1 0 2
2 0 0
2 2 1
0 2 0
0 1 0
2 1 0
10 3
2 1 2
1 3 3
2 0 3
0 1 3
1 3 1
3 1 3
2 3 2
0 2 0
1 1 2
1 1 3
10 3
2 4 1
5 1 3
4 3 5
1 0 1
0 4 2
2 1 3
0 2 4
5 2 3
5 2 1
0 0 4
10 5
2 5 5
0 4 1
5 1 2
4 3 4
4 5 0
3 4 5
3 3 0
0 3 3
5 4 1
2 3 1
10 8
0 5 0
2 0 3
4 2 4
4 2 5
1 1 2
2 2 1
5 1 4
2 4 3
4 4 5
5 4 0
10 2
5 4 1
2 1 3
3 2 4
5 3 1
2 0 1
2 5 2
3 0 2
0 5 4
3 2 1
0 0 5
10 5
2 2 2
3 4 0
4 4 3
0 3 4
1 1 2
4 2 3
2 2 1
3 1 4
2 0 0
3 2 2
10 2
0 1 4
1 4 2
4 1 3
3 2 4
2 3 4
4 2 1
4 2 0
3 4 0
2 0 4
3 0 0
10 9
4 5 1
5 2 3
2 0 5
5 3 2
1 0 5
4 1 2
3 2 1
3 5 4
0 5 1
3 5 5
10 8
0 1 0
2 2 1
1 0 1
1 1 2
2 0 2
0 1 2
0 2 0
2 1 2
1 1 1
0 2 2
10 2
1 0 1
2 1 0
3 1 1
0 3 0
3 0 0
1 1 2
2 2 2
2 2 0
3 0 1
0 1 3
10 5
3 0 0
3 0 2
4 2 1
3 4 4
4 0 3
3 1 4
3 3 0
1 4 4
1 2 3
2 3 0
10 3
0 2 1
3 5 2
2 5 1
4 1 4
0 5 0
2 1 3
0 5 4
5 5 4
1 0 3
2 1 2
10 6
3 0 1
0 2 0
2 2 0
1 3 3
2 1 1
0 2 3
2 1 3
0 1 3
3 0 0
0 0 0
10 9
4 1 4
0 2 5
3 1 3
4 3 2
4 4 0
3 5 4
2 3 2
0 5 4
2 0 4
2 2 5
10 8
2 3 3
4 2 3
0 0 0
1 2 3
1 0 2
1 3 1
3 0 0
0 1 4
2 3 0
4 4 1
10 3
1 0 0
0 3 3
0 0 0
1 1 1
0 0 2
2 1 2
0 2 2
2 0 3
0 1 2
0 2 0
10 5
1 3 0
2 3 3
1 3 1
2 3 2
0 0 1
3 2 0
0 1 1
0 0 2
0 2 0
3 2 2
10 9
2 2 0
4 3 0
3 0 2
2 0 0
1 0 4
4 3 3
1 2 1
3 1 4
4 0 2
0 0 3
10 9
2 0 2
2 0 0
0 1 1
1 0 0
2 1 2
1 0 1
1 1 2
2 2 2
1 1 0
0 1 0
10 8
4 2 0
2 1 2
3 4 1
5 0 5
4 4 2
4 0 5
5 4 4
3 4 3
1 1 4
4 4 4
10 5
4 1 3
2 2 3
4 2 0
1 3 4
1 0 1
3 1 0
4 3 1
4 1 1
3 2 0
0 1 2
10 3
0 1 4
1 1 1
4 3 2
3 5 3
5 0 3
0 3 3
0 3 2
4 1 3
4 0 2
2 0 0
10 3
2 2 3
2 1 0
2 2 2
3 1 3
2 3 3
3 1 0
1 3 0
1 1 1
1 2 2
2 2 0
10 7
2 1 3
4 3 1
2 1 4
0 2 1
1 3 4
1 1 2
3 1 0
0 3 0
0 0 0
3 0 1
10 3
1 3 4
2 1 3
2 3 2
5 1 1
4 2 5
0 1 4
0 0 2
4 2 4
0 4 1
5 5 0
10 2
2 1 0
3 3 3
0 2 2
1 2 0
3 2 0
1 0 0
2 0 1
3 2 1
2 0 0
3 3 0
10 3
1 2 4
4 4 4
3 2 3
0 0 3
3 1 0
1 2 1
2 1 4
0 2 3
2 0 0
4 0 4
10 7
2 0 1
0 2 3
1 0 1
3 4 4
0 0 2
0 0 0
4 2 1
2 2 3
1 1 2
1 0 2
10 3
1 0 1
1 2 0
0 1 0
0 1 1
1 2 1
0 0 0
2 1 0
1 1 1
1 2 2
0 2 1
10 4
0 5 4
4 3 2
3 0 0
0 0 3
1 5 4
4 5 4
5 3 2
1 1 1
5 1 0
1 4 5
10 9
4 0 3
5 4 5
0 2 4
3 4 0
2 4 1
4 0 1
2 1 4
2 0 2
3 0 2
0 0 1
10 5
4 4 5
1 3 0
0 3 3
2 2 5
3 1 0
1 3 1
4 1 5
5 0 1
4 3 0
1 2 0
10 3
2 4 1
2 3 3
5 1 5
1 4 0
0 1 5
0 2 0
0 4 5
3 5 5
2 5 5
1 0 0
10 2
3 1 3
1 2 0
0 0 2
1 1 1
3 3 1
0 2 2
3 1 2
0 2 1
1 2 1
2 1 2
10 9
0 0 1
1 0 0
0 2 2
0 0 2
1 0 2
1 1 1
2 0 0
2 0 1
2 1 0
1 1 2
10 2
1 2 0
3 2 2
1 0 3
3 1 2
2 0 3
1 2 3
2 2 0
3 3 1
0 3 3
0 3 0
10 8
2 0 4
1 0 5
1 1 2
1 2 3
0 2 5
0 0 2
4 0 0
3 2 3
3 3 5
0 2 4
10 3
0 0 2
0 3 3
3 2 3
3 3 1
0 0 1
1 2 2
3 0 2
3 0 3
3 0 1
1 3 1
10 4
3 2 0
2 3 0
0 2 1
0 0 2
3 1 2
1 1 3
3 1 1
3 0 0
0 3 2
1 2 3
10 9
0 0 1
0 0 0
0 1 2
1 2 2
2 0 2
1 0 2
1 0 1
0 0 2
2 2 0
1 0 0
10 7
0 0 1
1 0 1
2 0 2
2 3 1
3 0 2
1 1 0
1 1 3
3 1 2
0 3 1
0 1 0
10 2
0 2 2
3 0 3
2 1 3
1 1 1
1 0 0
0 2 3
0 1 0
1 2 3
0 0 2
0 2 1
10 4
0 2 5
4 0 1
4 3 0
4 0 3
3 4 5
4 0 2
0 3 3
5 2 2
0 0 5
2 3 4
10 5
1 1 4
4 5 4
1 5 2
2 3 4
2 4 5
0 5 1
3 4 5
0 5 5
3 0 2
3 0 5
10 9
3 3 1
4 1 3
3 0 0
0 4 1
3 2 4
1 3 0
1 4 1
0 0 0
2 4 3
3 3 4
10 2
2 3 0
0 1 0
3 2 2
0 2 0
0 3 3
0 3 2
3 0 0
0 2 3
0 0 2
3 1 3
10 3
4 5 4
3 1 5
3 1 3
5 0 5
4 4 0
4 4 2
4 4 5
4 1 5
2 1 0
1 0 4
10 4
5 3 4
4 5 2
2 0 1
3 4 4
5 3 1
2 2 1
2 5 0
0 1 1
1 5 1
0 1 0
10 8
0 0 0
1 2 0
2 1 1
1 0 0
0 2 2
1 1 1
1 0 1
2 2 0
0 2 0
1 2 2
10 7
1 1 1
0 0 2
0 1 0
1 0 0
1 1 2
2 0 0
1 2 1
1 1 0
1 0 2
2 1 2
10 2
0 2 3
2 1 1
3 2 3
3 3 2
3 3 1
2 3 2
3 2 1
1 1 1
2 2 3
3 0 3
10 2
1 2 4
0 1 2
4 2 3
4 4 2
3 0 1
4 4 1
2 3 1
4 3 1
1 0 1
3 0 3
10 3
3 1 1
3 0 3
3 0 1
3 0 2
2 2 1
2 2 3
0 0 1
0 2 3
2 1 1
1 2 2
10 4
0 1 2
1 2 2
2 1 1
0 1 1
2 2 2
0 1 0
1 2 0
1 1 2
1 2 1
2 1 2
10 9
5 0 3
0 4 5
5 4 0
3 0 2
1 3 2
2 0 3
2 4 2
5 3 5
2 1 0
4 5 4
10 9
0 1 0
3 4 0
1 3 2
0 0 0
0 4 4
4 4 0
3 3 4
0 4 3
0 3 2
3 4 3
10 2
3 4 1
3 4 2
3 0 0
1 0 3
1 0 0
0 1 1
1 4 4
4 2 4
3 3 0
2 3 4
10 9
4 4 2
3 2 4
4 4 4
4 1 0
1 1 4
4 4 1
4 4 0
3 0 3
4 1 1
0 0 3
10 6
2 2 0
0 0 1
1 2 2
2 0 1
2 0 0
0 2 0
0 0 2
1 1 2
1 0 0
1 0 1
10 7
0 5 2
2 4 2
4 1 3
4 4 4
3 2 4
5 0 5
3 0 2
5 3 2
5 1 2
4 0 2
10 2
1 0 0
0 3 1
2 0 1
1 3 3
2 1 2
2 3 3
3 1 2
0 2 3
0 0 0
1 1 3
10 5
2 3 2
0 0 2
0 2 3
0 3 1
0 3 0
3 3 0
1 1 2
3 1 2
2 2 1
0 2 1
10 5
1 0 2
3 0 1
1 4 4
4 3 2
0 0 4
4 0 4
0 3 5
4 3 0
5 5 1
4 3 1
10 8
0 2 1
3 5 2
3 3 1
5 5 2
5 0 0
2 0 1
2 4 0
5 0 1
3 0 3
0 3 0
10 6
2 2 3
0 2 0
3 2 3
1 3 3
0 0 2
2 1 0
1 2 3
0 3 1
0 0 3
1 2 2
10 3
0 1 2
4 3 4
0 2 1
1 1 4
4 4 3
4 2 3
1 2 1
1 2 2
0 4 2
4 3 1
10 4
2 0 1
1 1 0
0 1 0
0 1 2
0 2 0
2 2 1
2 2 0
0 0 0
1 2 1
1 2 0
10 2
2 0 0
2 1 2
1 1 3
3 0 1
3 3 3
2 3 3
1 3 3
3 1 2
3 3 1
0 1 0
10 5
1 2 1
2 1 3
3 1 0
0 3 0
2 3 1
1 2 2
2 0 3
2 0 1
0 0 3
2 2 3
10 2
2 1 2
3 0 0
1 1 1
1 2 2
3 0 2
3 1 1
0 1 2
3 0 1
0 0 3
0 1 0
10 2
0 2 0
2 3 3
3 0 2
3 1 0
1 2 3
1 2 4
5 2 0
0 3 4
0 5 0
4 1 5
10 6
1 0 0
2 1 1
2 1 2
2 2 1
0 0 0
0 2 1
2 2 2
1 1 2
0 0 2
0 2 2
10 7
1 1 3
4 3 0
1 4 3
3 2 2
0 2 0
0 1 3
3 0 0
3 4 1
4 3 1
0 3 4
10 5
3 0 2
2 3 2
2 1 0
2 0 0
3 0 0
0 2 3
0 3 1
1 0 3
3 3 3
1 2 2
10 8
0 4 0
1 2 3
2 4 4
4 0 2
3 4 4
4 4 3
3 2 1
2 0 0
1 4 2
4 2 2
10 5
3 0 0
1 1 3
0 1 2
1 1 1
1 2 0
1 0 3
2 2 3
3 0 2
0 0 3
1 0 1
10 8
2 5 2
5 2 3
1 1 3
1 4 5
2 2 1
3 4 1
5 3 1
2 4 3
0 3 5
5 3 5
10 9
3 3 3
2 3 3
0 0 1
2 3 1
3 0 1
0 1 2
1 1 0
0 0 2
1 0 2
3 0 3
10 4
0 5 0
1 5 1
0 1 4
0 2 4
0 3 2
0 5 2
3 3 3
5 3 3
2 3 3
1 3 5
10 5
2 1 0
2 2 3
2 3 4
1 0 3
2 3 0
3 0 1
1 1 2
0 4 0
3 3 4
4 0 0
10 3
2 2 0
1 1 0
2 1 1
2 0 0
0 2 2
0 0 1
1 2 0
2 2 1
0 2 1
1 0 1
10 7
1 1 1
2 1 2
2 2 2
1 1 2
2 2 1
2 1 0
1 2 1
1 0 0
0 1 2
1 1 0
10 3
4 4 3
2 0 4
1 0 5
1 0 1
5 4 5
1 5 1
2 5 0
2 0 5
4 2 4
3 2 2
10 3
0 1 0
0 2 0
2 1 2
2 1 0
1 1 2
2 2 0
2 0 1
0 0 0
2 0 2
1 2 1
10 9
0 1 1
3 3 3
0 0 1
3 0 3
1 0 0
1 1 0
3 3 1
3 2 0
2 0 3
2 3 3
10 6
3 4 0
2 3 0
2 4 1
3 0 1
3 1 0
1 4 3
1 2 4
3 1 4
0 4 0
1 3 1
10 2
1 4 2
1 2 3
4 5 2
4 4 2
0 4 1
4 2 5
4 0 2
5 4 4
5 4 2
3 5 3
10 7
3 2 0
1 0 2
3 0 3
0 3 0
0 1 3
1 1 3
0 1 1
1 3 3
0 0 0
0 3 1
10 7
0 4 3
5 5 4
0 3 1
1 3 1
2 0 0
1 4 1
1 0 1
0 5 4
3 4 3
0 2 2
10 3
2 0 0
5 2 5
1 5 1
3 3 3
2 3 4
2 5 2
3 0 5
3 5 5
3 2 5
4 3 1
10 4
2 0 3
2 3 1
1 2 3
1 3 3
3 3 2
1 0 1
0 3 2
1 0 2
3 1 0
0 1 0
10 9
2 2 1
3 2 3
2 3 0
1 0 2
0 1 3
1 0 0
1 1 0
2 3 1
2 0 2
0 2 0
10 2
4 5 5
0 1 4
3 0 0
3 3 2
2 3 5
3 4 1
5 2 3
3 3 4
2 4 2
5 4 2
10 9
1 3 3
3 0 0
0 0 3
3 2 1
1 1 0
1 0 1
0 3 0
3 3 3
0 3 1
2 0 2
10 8
4 1 1
1 3 3
1 2 4
3 4 4
3 4 2
4 3 2
0 3 0
4 4 3
4 4 4
0 1 3
10 6
2 2 3
0 3 2
3 0 2
3 1 2
2 2 0
0 3 1
0 3 0
1 3 3
2 2 2
2 1 1
10 9
1 3 2
1 1 1
2 1 3
2 3 3
0 3 2
2 0 2
3 3 2
1 2 1
2 2 3
3 1 0
10 8
1 4 0
3 0 5
0 0 2
3 1 5
0 5 1
3 4 2
3 0 0
1 1 2
4 3 3
1 4 2
10 9
0 1 2
0 1 1
0 2 2
0 1 0
1 1 0
2 0 0
0 0 2
2 1 0
0 0 1
0 2 1
10 4
1 3 0
2 3 1
3 3 0
2 0 3
2 3 0
1 0 3
3 0 2
1 1 1
0 2 0
1 2 3
10 3
1 2 0
2 1 0
0 0 2
0 1 1
0 0 1
1 1 1
2 2 0
0 0 0
2 0 0
1 0 2
10 6
3 2 3
1 5 3
3 2 5
3 5 2
0 2 1
5 4 3
5 3 2
1 2 3
4 1 1
4 2 5
10 9
0 3 4
2 3 4
5 4 4
5 2 1
3 2 0
5 1 3
0 4 3
2 3 0
2 4 0
3 1 1
10 9
3 1 0
1 0 2
0 2 3
1 0 3
3 3 1
1 0 0
1 2 0
0 3 0
2 0 1
0 2 1
10 9
0 0 0
1 0 0
1 2 0
1 1 2
0 1 1
0 0 2
1 0 1
0 0 1
2 1 2
2 0 2
10 8
3 1 0
4 3 2
0 0 5
1 5 4
1 4 1
5 5 4
2 4 4
1 3 4
5 5 3
1 1 4
10 4
0 3 3
2 3 0
2 2 1
2 1 1
1 0 1
2 3 1
3 1 3
2 1 3
3 0 2
2 1 2
10 8
5 4 1
5 5 3
1 2 0
2 3 4
3 0 1
1 5 1
4 4 1
1 5 0
5 1 4
5 2 1
10 2
4 2 4
4 2 2
2 1 2
3 0 2
3 2 1
2 4 2
0 4 1
3 1 0
3 3 2
0 1 1
10 6
0 0 2
0 2 2
2 1 1
2 2 0
0 0 0
0 2 1
2 1 2
1 2 2
0 2 0
2 2 2
10 7
0 4 2
2 4 1
0 3 3
2 1 1
1 1 3
0 3 0
0 4 1
4 1 3
3 2 1
3 4 3
10 6
3 3 5
1 1 1
2 1 4
1 4 0
3 3 0
2 5 1
1 1 5
5 0 0
0 3 4
0 5 1
10 7
2 1 0
3 4 1
4 4 3
0 2 4
3 1 1
2 1 3
1 1 0
1 0 0
1 2 4
4 2 4
10 4
0 2 2
1 2 1
0 1 2
0 0 2
2 2 2
2 2 1
2 1 1
0 0 0
1 1 2
1 2 2
10 2
0 0 5
2 1 4
4 5 2
5 3 1
4 1 5
2 0 0
4 3 0
3 2 5
1 0 5
1 5 4
10 4
2 2 5
1 2 5
5 2 5
4 4 4
2 4 0
2 2 3
4 4 3
1 4 2
2 5 0
5 5 2
10 6
2 1 2
0 2 1
1 2 1
0 1 2
2 2 1
2 0 1
1 0 0
1 2 0
2 1 0
0 0 0
10 9
1 1 1
1 2 1
0 2 1
0 1 0
2 1 1
0 0 0
0 0 2
2 0 1
1 0 2
2 1 2
10 5
0 1 3
4 2 1
0 4 3
0 0 4
2 3 5
4 3 4
4 5 2
0 1 0
4 2 2
2 1 1
10 4
1 2 2
0 1 0
0 3 1
2 2 0
0 2 3
0 0 0
1 3 2
3 1 3
0 0 3
1 3 1
10 7
1 2 3
2 1 0
5 4 2
4 3 0
2 4 2
3 2 1
2 3 5
2 4 4
3 3 1
2 4 1
10 9
1 1 2
1 0 0
2 3 3
0 2 1
2 3 0
0 3 2
1 0 3
1 3 3
2 1 3
0 2 3
10 2
2 2 1
2 2 0
3 0 1
1 1 0
1 2 3
0 1 0
2 4 4
2 2 4
4 1 2
0 4 0
10 6
1 2 1
2 1 0
1 1 2
0 2 2
0 1 1
2 0 2
1 0 2
1 1 0
0 0 0
1 2 2
10 8
3 4 3
0 0 2
1 2 4
3 3 2
1 3 0
4 4 2
3 1 3
2 3 0
1 2 1
0 4 3
10 9
0 5 4
1 4 3
2 0 4
5 4 4
5 5 1
0 0 2
0 4 2
1 4 5
3 4 5
1 2 3
10 3
3 2 1
1 3 2
2 1 3
3 3 2
0 2 3
3 2 0
0 3 3
1 0 3
0 3 2
2 3 1
10 6
3 3 5
1 3 5
0 4 1
2 0 4
1 4 5
0 2 3
2 1 4
0 5 4
1 3 1
1 2 0
10 5
1 0 0
2 0 1
0 0 0
1 3 3
1 3 1
1 2 2
3 3 3
3 2 1
0 2 3
2 0 3
10 3
0 0 1
1 0 0
0 2 2
0 2 1
2 1 0
2 2 1
1 2 2
1 2 1
2 2 2
0 0 0
10 4
2 1 2
0 0 0
1 0 2
0 1 0
1 2 2
2 2 0
1 1 0
0 0 1
0 1 2
2 0 0
10 9
2 0 0
0 0 3
2 0 2
3 2 3
3 1 3
3 0 3
0 0 0
0 0 1
3 1 0
3 3 1
10 8
1 3 0
3 2 2
0 0 0
1 0 3
0 2 0
1 2 2
3 3 2
3 0 1
1 2 0
1 1 2
10 5
1 4 0
3 3 1
3 1 3
2 2 1
3 1 0
1 4 1
4 0 0
0 1 2
2 1 4
0 2 4
10 5
2 2 1
0 1 2
1 1 0
0 0 2
1 2 0
0 1 1
1 0 0
1 0 1
1 1 1
0 0 1
10 7
1 3 1
2 0 0
0 1 1
1 2 0
3 1 0
0 2 0
3 1 3
2 0 2
1 3 0
3 3 2
10 3
4 2 0
2 2 3
1 1 2
3 0 1
1 0 1
1 2 1
1 1 4
1 3 4
4 1 2
4 3 1
10 2
0 4 3
3 1 2
3 0 1
1 4 4
4 0 1
0 3 0
3 2 3
0 0 3
4 0 3
4 0 0
10 6
1 2 2
3 1 2
4 3 2
2 3 3
0 0 5
3 3 0
4 1 3
5 5 0
5 2 3
0 5 4
10 6
2 1 0
1 1 2
1 2 1
1 1 0
2 1 1
0 2 0
0 1 0
0 1 2
2 0 2
2 2 2
10 3
4 3 4
4 4 3
4 4 4
3 0 2
0 0 1
3 1 3
0 2 0
3 1 4
3 3 3
0 3 4
10 5
0 2 4
4 3 0
0 3 3
4 1 3
1 3 3
1 2 2
2 2 0
2 4 2
2 4 0
4 0 2
10 5
3 0 1
3 1 0
1 1 3
0 2 2
3 2 2
3 2 0
1 3 0
2 2 0
0 0 2
2 1 2
10 6
0 2 1
2 2 0
4 0 1
1 4 3
2 2 2
3 1 0
1 3 0
4 2 1
3 4 1
0 4 0
10 8
4 4 0
3 2 3
3 3 2
1 0 1
1 4 3
1 0 0
4 3 0
4 4 3
4 3 2
4 3 4
10 6
1 3 0
1 1 3
4 4 2
3 5 4
3 2 1
4 1 2
5 3 4
1 2 0
2 0 4
1 0 3
10 9
2 1 0
1 3 0
0 2 1
3 2 0
2 0 3
2 3 1
3 2 3
2 0 1
1 3 3
3 0 2
10 7
0 1 0
1 2 2
1 0 0
0 1 2
2 1 0
0 2 2
0 2 0
0 0 2
2 1 2
2 2 1
10 5
0 1 1
1 1 1
2 0 1
0 1 2
2 2 0
2 1 0
2 1 1
2 2 1
1 1 2
0 1 0
10 3
1 0 2
3 1 2
2 2 0
2 1 2
0 0 0
1 2 3
0 1 2
0 1 1
0 0 3
1 0 1
10 9
1 0 3
1 0 4
3 3 0
3 1 3
1 3 4
0 3 1
4 2 2
3 4 2
2 1 1
4 0 3
10 4
2 4 5
1 0 3
5 3 4
2 3 2
4 0 5
1 1 4
4 1 1
2 3 4
5 5 1
5 0 1
10 3
3 3 2
2 1 0
2 3 0
0 3 3
2 2 2
0 2 2
0 0 3
3 2 3
0 3 0
1 2 3
10 6
3 4 0
0 3 3
0 0 3
4 2 4
3 2 0
1 2 1
3 1 1
1 2 3
4 0 1
2 3 0
10 5
2 4 1
2 0 2
3 0 0
1 2 3
2 4 0
1 0 2
2 4 4
2 3 0
0 0 1
4 2 0
10 7
3 0 0
0 0 3
2 2 3
0 2 2
3 3 0
2 3 3
0 3 3
0 0 2
2 1 1
3 0 2
10 2
0 0 0
2 2 0
1 1 0
0 0 2
0 1 2
0 2 2
2 1 1
2 2 2
2 2 1
1 1 1
10 4
2 3 3
0 2 2
3 0 0
2 3 0
2 0 0
3 1 3
3 0 3
1 0 0
3 2 1
1 0 1
10 8
2 3 2
2 2 0
2 3 0
2 1 2
0 0 0
3 0 3
2 0 0
3 3 3
0 0 2
2 0 1
10 3
0 2 1
0 1 4
4 1 3
4 4 3
3 2 4
1 4 0
2 2 0
3 3 2
3 2 2
4 3 4
10 9
0 2 2
1 0 1
0 1 1
2 2 0
1 1 0
2 0 1
2 0 2
0 0 2
0 0 0
1 0 0
10 9
2 0 2
2 2 2
2 2 1
2 1 2
1 1 1
2 0 1
2 1 1
1 2 0
0 1 0
2 0 0
10 2
1 0 3
0 3 0
3 3 0
3 1 3
1 0 1
2 3 3
0 3 2
3 1 0
0 1 2
1 1 1
10 2
4 2 1
1 0 4
0 4 2
3 0 0
4 2 4
3 1 0
4 0 4
1 4 0
0 3 0
1 0 1
10 7
2 2 1
3 1 3
1 3 2
3 0 1
1 3 0
3 3 3
0 0 2
3 1 1
0 3 0
0 2 1
10 2
3 0 3
3 1 3
0 1 1
4 1 4
4 3 3
4 4 4
0 0 2
1 0 4
4 0 1
3 4 3
10 4
2 4 1
0 0 1
3 0 0
2 4 2
2 3 3
1 3 1
1 1 2
3 1 1
3 1 0
0 4 4
10 6
0 1 0
1 5 2
5 4 1
2 5 4
0 5 3
2 5 5
1 2 4
2 1 1
2 1 3
0 1 4
10 4
4 0 1
5 3 3
0 5 2
1 3 1
0 5 0
4 5 3
5 1 5
3 5 1
5 4 4
4 1 3
10 5
2 2 0
2 1 2
0 1 1
0 0 1
3 1 2
0 3 2
0 2 1
1 3 2
0 3 0
0 1 3
10 9
4 2 1
3 2 1
2 4 1
4 4 3
2 3 1
1 4 3
0 2 1
3 1 1
3 3 2
2 3 3
10 7
2 3 3
1 2 0
4 4 0
3 1 3
4 1 2
0 3 1
1 3 1
1 2 3
1 4 3
4 3 4
10 7
3 0 4
4 0 0
3 1 3
3 1 2
0 3 3
0 2 0
4 4 0
1 2 0
2 1 0
4 1 1
10 3
3 1 2
5 4 2
3 2 2
4 3 1
3 3 0
5 3 3
0 2 5
1 1 5
5 3 5
4 1 0
10 7
0 3 0
1 3 0
3 3 0
0 3 3
2 3 2
0 1 1
1 2 2
1 0 2
1 3 2
3 2 0
10 9
3 2 3
3 0 0
0 0 2
1 2 3
2 0 2
3 0 2
3 2 2
0 1 1
1 2 1
3 1 0
10 2
0 2 1
2 2 4
4 0 3
4 4 3
3 3 3
5 1 0
2 4 3
4 3 0
2 0 5
3 2 0
10 6
1 2 2
1 1 2
0 0 0
1 2 1
2 2 2
0 0 1
2 1 1
2 1 2
2 0 1
0 2 2
10 2
2 0 0
2 1 1
2 2 0
1 0 2
1 1 2
2 1 0
0 2 1
1 1 1
2 2 2
0 2 0
10 9
0 1 0
2 0 1
1 1 1
2 1 2
2 1 0
0 2 0
0 2 2
2 0 2
2 1 1
0 1 2
10 3
1 2 2
1 2 1
0 1 0
0 1 2
2 2 1
3 2 1
2 0 2
2 1 0
3 3 0
1 0 0
10 3
0 3 2
1 2 1
3 1 0
1 1 0
3 3 0
1 2 0
0 0 4
2 0 4
4 2 2
4 3 3
10 6
0 1 1
0 1 0
0 1 3
0 3 3
3 1 3
2 1 1
0 0 0
0 0 3
2 1 3
3 0 0
10 5
0 1 1
0 1 0
2 4 4
1 1 0
0 0 2
3 3 1
0 3 3
0 2 0
2 1 0
1 1 3
10 6
0 1 5
3 3 1
1 0 4
4 2 3
0 4 5
1 3 5
2 4 2
2 5 3
4 4 1
1 1 1
10 3
1 2 1
0 1 1
1 1 2
2 1 1
1 1 0
0 0 1
0 2 1
2 1 2
0 2 2
1 0 2
10 3
5 0 3
4 2 0
5 1 1
3 1 5
1 0 5
1 1 4
2 1 3
5 4 2
5 2 4
2 2 2
10 6
5 5 1
4 5 5
3 1 2
1 4 2
1 1 2
5 0 1
3 3 0
4 5 0
5 1 3
3 4 4
10 2
1 0 0
1 0 1
1 1 2
2 0 0
2 0 1
1 2 2
1 2 1
1 0 2
1 1 0
1 2 0
10 3
1 1 2
0 3 0
1 3 1
1 0 3
1 0 0
1 1 3
2 2 1
1 0 2
0 0 2
0 0 1
10 9
2 3 0
2 2 0
2 1 0
0 1 2
3 3 1
0 2 2
2 3 1
2 0 1
2 0 2
2 1 3
10 9
0 0 0
2 3 4
0 4 4
3 4 1
0 3 3
3 3 4
4 3 3
4 0 0
0 0 3
1 4 1
10 4
1 2 4
0 3 1
2 2 2
1 3 2
2 3 3
3 3 3
3 2 0
3 4 1
4 4 1
1 0 1
10 2
2 1 1
2 0 1
1 2 1
2 3 4
3 1 1
0 4 0
4 1 3
3 0 4
0 0 3
2 2 0
10 2
1 0 1
3 3 2
3 3 3
1 3 1
0 0 3
3 3 1
1 0 2
2 0 2
3 0 2
2 2 3
10 5
0 2 2
1 1 0
3 0 4
2 4 4
3 2 4
3 1 4
1 4 2
3 2 2
4 2 0
1 3 4
10 5
5 5 5
0 1 1
4 2 5
2 2 2
2 3 0
1 0 1
2 3 2
1 0 4
0 5 0
0 3 2
10 7
4 3 2
3 0 2
4 4 4
1 1 2
4 2 3
2 0 0
2 3 3
0 1 4
2 2 0
4 2 4
10 3
1 2 2
1 2 1
2 1 2
2 2 1
1 1 0
2 1 1
0 2 0
1 0 0
2 0 0
0 1 0
10 9
3 3 3
1 2 3
0 2 1
1 2 2
1 2 0
3 1 0
0 0 3
0 0 0
0 1 1
3 1 1
10 7
2 0 0
1 2 0
2 2 1
0 2 2
2 3 2
3 2 2
3 0 3
0 3 3
3 0 1
3 1 3
10 3
3 4 0
3 4 2
3 2 0
0 0 4
3 4 1
4 0 0
2 1 3
2 3 1
2 2 1
3 4 4
10 7
1 2 2
0 1 1
1 2 0
0 0 0
0 2 1
2 0 0
0 1 2
0 2 0
1 1 0
1 0 1
10 6
1 2 2
1 2 0
0 2 1
0 2 0
1 1 0
2 2 2
2 1 0
1 0 1
2 0 0
1 0 2
10 8
2 2 5
3 2 5
1 4 5
2 0 3
2 3 0
5 2 0
2 1 5
5 4 2
0 4 1
0 5 2
10 9
0 3 2
5 2 1
1 1 5
1 3 2
5 2 2
2 5 3
1 3 3
2 2 3
4 0 5
1 3 4
10 8
1 2 1
2 1 1
1 2 2
2 1 0
0 0 0
0 2 0
0 1 2
1 0 1
2 2 1
0 2 1
10 4
1 2 0
0 0 1
2 1 1
0 1 3
2 1 3
0 2 3
1 1 3
1 1 1
1 1 0
2 3 2
10 7
1 2 1
1 1 0
2 1 0
2 0 1
1 0 2
2 2 0
0 2 0
2 2 2
1 0 0
0 1 1
10 5
1 2 0
2 0 1
2 1 2
0 1 2
0 2 1
0 2 2
1 2 1
2 1 1
2 2 2
1 1 0
10 3
1 3 4
0 0 4
1 1 4
4 3 4
0 2 1
2 3 1
1 0 1
0 0 1
2 3 3
4 3 0
10 2
2 1 2
2 2 0
0 1 2
0 0 2
0 1 0
1 1 1
2 0 1
2 0 0
1 1 0
2 1 0
10 6
0 0 3
2 1 0
0 1 3
0 2 2
3 1 1
3 3 0
1 0 0
1 2 2
0 1 0
3 3 3
10 8
4 4 3
2 4 4
0 3 2
3 2 3
2 0 0
2 2 2
3 4 1
3 4 0
0 2 3
2 2 0
10 7
2 0 3
2 1 2
1 0 1
1 3 1
0 2 1
3 3 3
1 0 3
0 1 2
0 0 1
2 2 3
10 3
1 0 0
2 0 1
2 1 0
1 0 1
1 1 1
2 2 1
0 0 1
0 2 1
1 1 2
2 0 0
10 9
2 2 4
4 1 4
1 2 2
1 4 2
1 3 0
2 1 0
3 2 4
0 1 4
4 3 0
3 4 1
10 5
3 1 2
1 3 0
1 3 2
0 3 1
4 1 0
2 0 1
0 0 0
0 4 1
3 4 0
3 1 0
10 8
0 2 1
0 0 1
2 0 0
2 0 2
1 0 0
2 2 0
0 1 1
2 1 2
2 2 1
1 0 2
10 7
3 4 3
1 2 1
0 2 3
1 1 4
3 1 3
1 0 1
4 4 4
3 3 2
0 2 0
2 3 1
10 4
1 2 4
4 4 3
4 1 0
0 2 3
4 0 4
4 0 3
4 1 1
3 0 2
3 3 4
0 2 4
10 9
0 1 3
0 2 3
1 2 1
0 1 1
0 3 1
1 3 2
1 0 0
0 0 3
1 3 1
3 2 1
10 6
2 2 0
0 2 2
0 0 1
1 0 0
2 0 2
2 0 1
1 1 2
0 2 0
2 2 1
0 1 1
10 4
2 1 4
5 5 0
2 1 5
1 1 1
0 1 1
0 0 5
2 0 0
3 3 4
1 0 2
2 4 1
10 6
0 3 0
4 2 5
1 5 1
2 1 2
1 4 4
4 4 2
5 3 4
0 5 2
2 0 3
2 4 0
10 3
0 3 0
3 1 0
3 3 2
1 3 2
2 1 1
3 2 0
2 3 1
0 2 0
2 3 3
2 0 1
10 6
5 0 2
4 1 4
0 3 2
0 0 4
0 4 1
0 2 3
5 5 1
3 4 0
5 0 0
2 4 5
10 2
0 2 1
1 0 2
0 2 0
2 0 0
1 1 0
1 2 0
1 2 1
2 1 1
2 0 2
1 1 2
10 9
2 2 3
1 3 2
0 3 1
1 5 1
3 1 2
2 5 2
3 3 4
4 5 0
1 1 1
2 5 3
10 3
3 2 0
2 2 2
3 3 3
0 0 1
2 2 3
0 0 3
1 3 1
1 1 3
0 2 1
1 2 2
10 4
0 4 1
4 0 1
0 2 1
1 2 3
0 4 3
1 3 0
2 3 4
4 3 3
2 2 0
0 1 2
10 3
0 1 3
0 0 0
0 1 2
0 0 1
3 3 2
1 3 3
0 2 3
2 3 0
1 0 0
3 2 3
10 9
3 2 2
3 0 0
2 0 1
3 2 0
1 1 0
2 0 0
1 0 3
0 0 2
1 2 3
3 3 0
10 6
1 3 1
5 0 3
4 3 3
5 4 0
2 2 5
4 4 3
5 0 2
4 1 3
3 0 3
2 1 3
10 7
0 2 0
0 0 2
3 1 2
3 1 0
0 1 1
1 3 1
0 0 3
3 3 0
3 2 1
1 3 2
10 2
0 1 2
4 0 5
0 4 3
3 0 2
5 1 2
1 1 4
5 2 4
0 5 2
2 2 0
0 2 0
10 5
3 1 1
2 1 2
3 2 2
1 3 1
3 2 3
0 0 2
1 1 0
2 2 2
2 0 1
3 3 3
10 5
1 1 1
1 2 1
1 1 0
1 0 1
0 1 2
2 0 2
2 0 1
0 0 1
0 1 0
2 1 1
10 6
0 2 0
2 1 5
0 0 3
3 4 5
5 1 5
1 0 0
4 4 5
0 2 3
0 4 5
2 4 5
10 3
1 0 3
0 2 1
2 4 2
2 0 3
1 0 2
4 3 0
0 2 3
1 3 4
3 2 1
3 0 4
10 6
1 1 1
0 0 0
0 1 0
2 0 2
2 0 1
2 0 0
1 1 0
1 2 2
0 0 2
1 2 1
10 2
2 0 1
3 2 0
0 3 3
1 0 1
3 3 3
1 0 0
0 3 0
2 2 2
3 2 3
0 1 3
10 3
3 1 2
2 0 3
1 1 2
1 1 3
0 0 3
0 1 0
1 3 0
0 0 2
3 3 1
2 1 0
10 9
0 2 3
4 3 2
5 3 5
0 3 2
0 1 4
5 5 2
1 0 5
3 4 1
3 1 0
4 5 5
10 8
1 3 0
3 5 3
2 1 5
0 4 4
0 5 3
5 2 5
5 2 0
0 2 4
0 5 5
5 1 5
10 2
1 5 5
2 0 0
1 5 2
3 5 5
1 3 0
5 5 4
2 3 3
1 3 3
4 1 3
3 4 2
10 5
0 0 2
3 0 0
2 1 0
2 3 1
1 3 1
3 1 3
0 0 1
2 2 1
3 3 2
2 2 0
10 2
5 1 1
1 1 3
2 0 1
0 1 0
5 1 2
3 0 5
3 1 2
1 3 5
5 0 3
4 3 2
10 7
2 5 5
1 2 4
5 1 3
4 4 2
0 3 0
4 2 1
0 1 0
2 3 5
4 5 4
2 0 4
10 2
2 3 1
0 2 1
0 1 3
0 1 0
1 1 1
2 0 0
3 1 2
3 1 1
3 3 2
0 3 0
10 3
2 1 0
2 0 2
0 2 0
0 2 1
1 2 0
1 0 1
1 0 2
0 1 1
1 1 2
1 1 1
10 5
1 0 3
4 0 1
1 0 4
5 2 1
2 1 5
0 4 0
1 0 0
4 5 1
5 5 2
5 1 4
10 6
1 3 3
4 2 2
4 1 0
3 0 0
2 4 1
1 1 4
2 0 1
3 1 4
4 1 1
2 2 4
10 2
3 2 3
3 2 1
2 3 2
0 0 1
2 2 2
0 1 2
3 0 3
3 3 3
2 1 1
0 2 1
10 4
1 0 1
1 2 1
0 0 0
3 2 0
3 0 3
3 2 1
2 3 3
0 1 1
3 1 0
3 1 2
10 6
3 3 1
2 0 1
1 0 1
3 1 1
1 1 0
1 1 3
1 1 2
2 3 2
2 3 3
1 3 2
10 6
1 2 5
0 5 2
2 2 5
5 5 3
3 0 4
4 4 2
1 3 5
2 4 4
0 0 0
5 0 5
10 6
2 1 1
3 1 3
3 2 0
2 3 0
2 0 3
1 2 2
3 1 0
1 2 1
0 2 0
3 0 1
10 7
2 2 1
3 3 1
1 2 0
1 2 3
1 0 3
0 0 1
0 0 2
3 0 3
2 1 1
0 1 3
10 5
2 0 2
3 0 1
0 1 3
0 1 1
2 0 0
3 3 2
3 2 3
1 3 1
1 2 0
1 2 2
10 6
2 1 1
2 1 3
0 4 4
2 2 4
3 1 3
3 2 1
0 2 1
4 1 0
1 2 4
2 2 1
10 4
1 4 1
3 4 3
0 5 2
3 5 2
2 4 4
4 2 4
3 4 2
0 0 1
2 5 0
0 1 2
10 7
2 1 2
4 2 0
0 1 2
2 0 4
3 3 1
4 2 4
4 2 1
2 3 0
1 1 1
4 4 2
10 7
1 4 0
2 1 0
2 3 1
2 3 2
3 4 2
3 0 2
3 2 3
3 0 0
4 0 0
2 0 3
10 4
2 0 1
0 1 3
0 2 1
1 3 0
0 0 1
0 1 0
0 3 3
1 0 0
1 1 3
1 2 2
10 3
4 2 0
4 4 5
4 1 3
2 3 1
0 2 2
3 4 3
0 5 3
5 4 5
0 4 5
0 0 3
10 6
4 4 5
4 5 5
4 2 1
5 1 4
1 4 1
3 2 0
2 3 3
2 0 5
5 4 5
0 0 2
10 2
0 0 1
1 2 2
1 2 1
2 2 1
2 0 1
0 1 1
2 1 0
0 0 0
1 0 0
1 0 2
10 7
5 2 3
1 5 1
2 4 4
1 2 3
0 4 1
4 3 5
5 0 1
5 5 3
2 5 5
3 4 4
10 8
4 1 0
0 4 2
3 1 4
0 2 2
2 3 2
1 0 1
3 2 4
2 1 1
1 1 1
3 3 2
10 7
1 4 4
5 1 3
4 0 2
0 4 4
1 0 1
3 5 3
0 0 5
0 3 1
0 5 0
3 5 0
10 3
0 0 0
2 2 2
2 2 0
0 2 2
1 0 1
0 1 0
0 0 1
2 0 0
1 1 2
2 0 2
10 5
1 2 3
2 3 0
1 2 1
3 0 1
0 2 0
0 0 1
2 3 1
2 3 2
1 1 3
1 3 1
10 6
0 2 2
0 1 2
0 2 0
2 0 1
2 1 2
1 1 1
1 0 0
1 2 0
0 2 1
1 0 2
10 4
1 1 2
1 0 0
2 1 2
0 2 1
1 2 0
0 0 0
0 1 1
0 2 0
2 2 2
0 0 1
10 4
1 2 2
0 0 3
1 0 4
3 2 1
2 0 1
4 4 4
3 3 1
2 0 2
0 2 2
0 0 0
10 4
2 0 5
1 1 3
2 0 4
3 2 2
1 2 2
5 3 3
3 4 0
0 5 0
5 5 0
5 3 1
10 2
0 5 1
0 5 4
5 0 4
2 3 4
4 0 4
5 5 1
5 1 2
4 3 2
4 3 1
4 4 0
10 6
2 2 3
0 2 0
3 2 2
2 2 1
2 3 2
3 2 3
3 1 3
2 2 2
3 2 1
0 2 3
10 4
1 4 5
1 2 2
1 3 4
4 1 4
0 5 0
0 3 0
5 4 5
2 0 1
0 0 3
2 1 5
10 5
2 3 3
1 4 0
1 1 1
1 4 3
4 4 2
0 0 3
1 2 0
3 0 2
0 1 2
2 4 0
10 5
2 4 2
1 0 2
1 2 4
4 0 1
2 1 1
0 3 3
0 0 0
1 0 0
4 0 3
4 2 4
10 9
1 0 2
0 1 2
0 2 1
2 1 2
1 1 2
2 2 0
2 0 2
2 2 1
0 0 0
2 1 1
10 4
1 0 0
0 2 0
1 2 2
1 1 2
2 2 2
2 1 0
1 2 0
0 2 1
2 1 1
1 1 1
10 3
2 4 5
2 2 0
2 1 0
4 2 3
3 0 2
5 1 4
0 2 4
0 2 1
1 2 1
3 1 1
10 5
0 0 2
4 0 3
4 4 3
3 0 0
2 3 0
2 2 1
0 1 3
3 4 0
3 3 2
2 3 3
10 2
1 1 2
0 0 2
0 1 1
0 2 1
1 1 0
2 1 0
0 1 0
2 0 0
2 0 2
2 1 2
10 9
0 2 2
2 1 1
0 0 2
2 2 0
1 2 0
0 1 2
1 1 0
1 2 1
0 2 1
1 0 0
10 4
4 2 5
1 2 1
4 1 4
0 5 0
2 1 1
2 5 0
3 4 0
3 4 4
1 3 1
0 4 1
10 5
1 2 0
1 1 1
2 2 1
1 0 2
0 1 2
0 2 2
0 0 1
0 1 1
0 2 0
2 1 0
10 9
1 2 3
2 1 1
0 1 3
2 0 1
1 2 0
0 2 0
1 3 0
2 0 2
2 2 1
1 3 2
10 5
5 3 0
4 3 4
1 5 3
5 2 2
3 4 4
4 2 2
0 5 5
4 3 1
1 4 2
2 2 5
10 7
5 2 4
3 3 0
2 2 1
5 3 0
4 0 2
3 4 5
3 5 5
4 5 5
3 4 0
2 1 1
10 7
1 1 2
1 4 0
4 2 2
0 1 1
4 0 2
1 2 2
2 4 3
0 4 3
3 1 4
0 4 1
10 5
2 2 2
1 2 0
0 1 2
2 0 1
1 2 2
1 2 1
2 1 2
0 1 1
0 2 2
1 0 0
10 5
5 4 2
0 4 0
1 5 3
3 1 1
4 1 3
4 3 0
4 0 4
1 2 3
5 5 4
5 4 5
10 3
2 1 1
4 1 4
3 0 2
2 3 2
2 2 2
1 1 3
1 1 1
2 0 0
4 3 0
4 0 4
10 6
3 1 1
3 0 3
3 1 3
0 2 3
3 3 2
2 3 1
0 0 1
2 1 3
1 2 2
0 3 0
10 5
0 1 2
2 0 1
0 0 0
0 0 1
2 1 2
2 2 2
1 0 2
1 0 0
1 0 1
2 0 2
10 2
0 0 2
3 3 4
0 2 4
2 4 4
2 1 3
4 3 1
1 0 1
3 2 1
4 4 2
0 1 0
10 2
1 2 5
4 5 0
0 4 2
1 3 5
0 2 3
3 2 0
0 3 5
1 3 0
4 5 1
1 4 0
10 6
3 2 2
0 0 3
3 0 2
4 1 1
1 3 1
4 2 2
3 0 4
4 1 4
1 2 4
3 4 1
10 4
0 2 4
0 1 1
1 4 2
3 1 2
1 2 1
0 0 4
1 3 4
2 3 1
2 3 3
2 3 2
10 6
4 2 3
3 3 3
4 0 3
1 1 0
0 0 4
2 3 1
1 3 0
2 3 4
0 1 4
1 2 2
10 7
2 3 3
4 0 4
3 2 3
3 1 4
3 1 1
4 0 3
3 0 2
1 4 0
4 0 2
2 0 0
10 3
1 0 5
1 1 2
4 5 3
4 5 1
2 4 5
5 0 1
4 3 2
0 3 0
0 1 4
5 2 5
10 5
0 3 0
3 0 3
2 3 0
2 0 2
3 1 2
0 0 0
2 2 1
3 3 1
1 2 1
2 3 1
10 5
0 0 1
0 2 2
2 1 2
2 2 1
2 0 0
1 0 1
1 0 0
0 2 1
1 1 1
2 0 2
10 7
4 2 2
0 1 4
1 1 1
4 2 4
1 2 2
2 2 3
4 2 0
2 0 4
0 3 0
1 4 0
10 4
0 0 0
0 1 1
1 3 3
0 2 0
0 3 3
0 2 2
1 2 3
2 2 0
1 1 2
2 0 0
10 3
2 1 2
1 2 2
1 5 5
4 0 4
2 3 3
5 1 1
1 0 2
0 0 3
5 5 5
5 2 2
10 8
4 2 2
2 2 2
0 0 1
2 4 2
4 3 4
4 1 0
0 3 2
3 1 0
0 2 2
3 2 4
10 7
1 0 1
0 2 1
1 1 2
2 2 1
0 0 1
0 2 0
2 1 0
1 1 1
2 2 0
2 1 2
10 2
4 2 1
4 3 2
3 0 2
2 0 2
4 2 0
3 2 0
4 4 4
3 4 1
2 1 0
3 1 4
10 5
1 3 2
3 3 3
3 2 0
3 3 2
2 0 0
3 0 1
0 3 1
1 2 2
0 3 0
0 0 0
10 4
1 4 1
2 2 0
0 2 2
0 0 3
0 0 0
4 4 3
1 2 0
1 3 3
3 2 4
3 0 4
10 6
2 4 0
4 1 0
4 4 0
3 3 3
0 1 0
1 4 4
4 3 1
0 3 2
0 4 0
4 0 1
10 4
2 0 1
1 0 1
1 3 1
2 1 2
0 1 3
2 0 0
0 0 3
0 2 2
2 1 0
3 1 3
10 3
0 1 3
1 0 2
3 2 0
3 4 0
4 4 4
0 2 4
2 1 0
3 0 4
1 1 3
0 4 4
10 9
1 3 0
1 0 3
2 2 1
0 2 1
3 3 1
1 0 2
3 3 0
2 0 0
0 3 0
3 1 2
10 3
0 0 0
0 0 2
1 2 0
1 2 1
2 2 0
1 0 0
0 2 0
1 0 2
0 1 2
2 1 2
10 8
4 0 2
1 4 2
4 3 4
0 4 0
0 2 1
2 0 4
2 4 2
0 2 4
2 1 4
0 3 2
10 5
1 3 3
3 0 0
0 1 0
3 1 1
3 0 1
1 1 2
3 1 2
0 2 0
0 3 2
1 2 2
10 6
0 1 3
0 0 3
1 3 2
0 4 3
3 3 2
2 3 0
0 2 0
3 1 2
3 3 4
2 1 2
10 3
1 1 2
0 1 2
2 1 0
2 0 1
0 1 1
0 0 1
0 0 0
1 2 0
1 1 1
0 0 2
10 4
2 1 1
0 0 2
1 3 1
0 2 3
3 3 2
2 2 3
3 2 3
2 2 0
0 2 1
0 3 1
10 4
0 1 3
0 3 0
1 2 1
0 2 2
1 1 0
0 0 1
2 1 1
1 3 1
1 1 2
2 2 0
10 8
1 3 4
2 1 2
4 2 3
1 0 0
4 4 3
3 3 4
0 0 0
1 4 3
1 0 4
4 3 2
10 4
2 1 1
1 1 2
1 2 0
2 1 2
0 1 1
0 2 0
2 2 1
0 1 2
0 1 0
2 0 2
10 3
1 1 2
4 1 2
1 2 0
1 3 3
2 5 3
5 3 5
0 3 4
2 2 5
5 2 4
0 1 0
10 8
5 2 3
5 1 5
5 3 5
3 0 4
0 5 3
5 0 1
4 5 0
5 0 3
0 5 0
5 4 1
10 2
0 0 2
0 0 0
2 2 2
1 0 1
2 1 1
0 2 2
1 1 2
2 1 0
2 0 2
1 1 1
10 3
2 0 1
1 5 1
4 0 1
0 1 5
1 0 2
4 4 4
4 1 5
3 3 0
5 1 1
5 5 5
10 3
0 2 2
2 0 2
1 1 0
1 1 1
2 2 2
2 0 1
1 2 0
0 0 1
2 2 0
2 0 0
10 9
0 0 3
2 3 3
2 0 1
2 1 0
1 3 0
3 2 0
3 2 3
1 1 0
0 2 2
0 0 1
10 3
1 0 3
0 1 1
3 3 3
3 1 0
1 1 1
1 2 3
0 2 2
1 1 3
2 1 2
1 3 1
10 5
1 4 0
1 2 0
1 1 0
2 4 0
4 0 1
2 4 4
4 4 2
3 3 4
0 1 4
4 1 2
10 7
4 0 1
5 3 1
5 4 4
0 5 0
3 1 4
4 1 5
3 2 3
4 2 4
4 0 0
2 1 0
10 3
1 0 1
3 4 2
2 2 4
3 3 2
3 3 1
3 1 1
1 2 4
4 2 0
0 2 3
3 4 3
10 4
5 4 3
3 4 4
0 2 2
1 1 0
0 5 3
1 3 4
4 0 0
0 0 4
3 5 2
5 5 3
10 4
2 3 1
3 4 2
0 3 2
2 1 4
0 0 2
1 3 4
2 4 1
1 0 4
1 1 0
1 2 4
10 9
2 2 2
0 1 0
2 0 2
2 0 1
2 1 0
1 1 0
1 0 2
1 2 2
1 1 2
0 0 2
10 6
2 3 3
0 3 3
4 0 1
1 3 4
0 4 4
1 2 0
2 4 3
4 0 0
2 2 1
0 1 3
10 8
1 0 5
2 2 0
5 4 4
0 5 1
0 5 3
3 3 3
4 4 4
4 0 2
3 3 2
2 0 4
10 6
1 1 2
2 2 0
1 0 2
2 0 0
2 1 2
1 2 0
1 1 1
2 2 2
2 0 1
2 1 0
10 3
3 0 0
2 5 0
1 1 0
4 0 3
2 5 3
0 1 1
1 5 0
1 4 2
2 1 3
3 2 1
10 6
1 2 0
0 0 1
1 1 1
0 2 1
0 1 2
1 0 0
2 2 2
0 2 0
1 1 0
1 0 2
10 6
2 0 0
2 1 1
2 0 2
1 1 0
0 2 2
0 2 0
0 1 0
0 0 1
0 0 0
0 1 2
10 6
1 4 3
3 0 1
1 4 1
1 3 4
2 4 3
0 3 3
1 2 4
1 4 4
2 3 1
1 1 1
10 3
1 4 1
3 1 3
3 3 1
2 2 0
4 2 3
2 0 0
4 0 2
2 2 3
3 3 3
4 3 2
10 5
4 0 2
3 2 2
4 3 1
2 4 4
4 2 0
3 4 4
1 1 4
1 0 1
1 2 3
1 1 3
10 2
5 0 2
3 1 4
0 2 4
2 5 0
4 3 2
0 3 5
0 0 1
3 2 5
4 5 1
1 1 5
10 6
0 2 2
3 0 1
4 3 0
4 2 2
0 2 1
2 2 4
0 1 1
3 4 1
0 1 4
4 4 1
10 4
3 2 0
4 3 0
5 5 4
4 1 2
2 0 5
2 1 0
5 4 2
1 2 4
5 2 0
4 1 1
10 9
1 2 2
1 0 2
2 2 2
0 0 2
2 0 2
2 2 0
2 2 1
1 1 2
2 0 1
1 1 0
10 5
0 5 1
2 4 4
0 1 2
3 0 0
3 2 0
1 1 5
0 2 5
0 5 3
2 3 0
5 2 2
10 9
5 2 5
1 5 5
2 3 5
2 5 4
4 3 5
3 2 2
3 4 5
3 1 2
4 5 2
1 2 4
10 9
2 3 0
1 3 4
1 4 1
0 0 0
4 2 1
2 1 2
2 2 2
1 4 0
3 3 1
1 1 3
10 5
4 1 3
4 0 1
4 3 1
1 0 0
2 1 3
2 4 3
4 1 1
0 3 2
4 1 0
2 0 2
10 6
3 3 2
3 1 0
2 4 0
1 2 3
2 0 2
3 0 1
1 4 0
4 2 3
4 1 0
2 2 1
10 3
1 5 2
4 4 2
0 2 2
1 0 3
3 5 5
2 0 0
1 3 0
3 2 2
5 3 3
0 3 3
10 5
3 1 1
2 0 1
3 3 0
3 3 2
0 1 2
0 3 1
2 2 0
0 2 0
0 1 1
3 0 3
10 9
1 2 2
0 2 1
1 1 2
2 2 2
2 1 0
1 0 0
2 2 0
1 2 0
2 2 1
0 0 0
10 8
0 1 0
1 2 3
3 1 1
0 2 3
2 1 1
4 0 1
2 4 1
2 1 0
4 2 0
0 3 3
10 9
0 2 0
0 1 2
1 2 1
0 0 0
1 0 2
1 2 0
2 0 1
2 2 1
1 1 0
2 0 2
10 6
1 0 1
0 2 1
0 1 0
0 0 0
2 1 2
1 0 0
0 2 2
2 2 0
1 1 2
1 2 2
10 4
2 4 4
2 4 2
2 2 5
0 4 0
1 4 2
2 3 1
2 2 4
0 5 2
0 3 3
1 2 0
10 9
0 3 0
3 5 1
4 5 1
2 2 3
1 5 2
4 0 1
0 0 3
1 1 0
0 5 2
4 2 4
10 9
0 0 1
0 2 2
0 2 0
2 1 0
0 2 1
0 0 0
0 1 2
0 1 0
1 2 2
1 0 2
10 4
2 0 2
1 2 0
1 0 0
2 2 1
1 1 0
0 2 1
2 1 2
1 2 1
1 1 1
0 2 2
10 8
1 3 0
2 2 0
0 4 3
2 0 1
0 0 1
3 0 2
0 1 0
2 4 1
2 2 4
4 3 1
10 6
4 2 4
4 1 3
0 3 0
0 1 1
1 4 1
1 3 3
2 1 0
2 4 3
0 4 2
1 2 4
10 4
0 3 0
0 4 0
3 1 4
2 4 0
2 1 1
2 4 4
4 3 0
3 2 3
4 3 1
4 4 0
10 9
0 0 4
4 2 1
2 1 4
4 4 0
0 2 4
1 1 0
0 4 2
1 4 0
1 4 1
4 3 2
10 4
5 1 0
2 5 4
4 4 1
0 1 1
3 4 0
1 5 5
0 3 3
1 5 4
1 2 0
4 1 3
10 5
1 2 2
0 3 3
3 2 3
1 0 2
3 0 1
2 1 3
2 1 2
1 1 3
1 3 3
3 0 0
10 9
4 1 2
3 5 3
0 2 3
5 4 0
1 2 5
3 1 2
3 3 2
3 5 5
0 1 1
2 5 3
10 6
5 5 5
4 2 2
5 2 3
0 0 2
0 2 3
3 3 1
3 5 0
0 3 4
1 3 2
5 3 2
10 5
2 2 0
0 1 1
2 1 1
1 1 1
2 0 0
2 2 1
0 0 2
0 1 2
1 1 0
2 0 2
10 9
3 0 2
3 2 2
1 1 2
1 1 1
0 2 0
3 3 2
2 0 1
0 1 2
3 0 1
2 2 2
10 2
2 0 2
5 5 2
1 5 5
3 3 4
0 4 3
4 0 2
3 4 1
0 4 0
1 1 0
3 4 5
10 9
0 1 3
0 0 1
1 3 2
2 0 0
1 3 0
0 0 2
0 1 1
1 2 1
2 2 2
2 3 0
10 4
1 4 2
2 4 2
3 0 0
2 3 2
3 1 2
5 4 3
0 3 0
0 2 5
0 0 4
2 0 2
10 9
0 0 4
3 0 4
4 1 4
1 2 2
2 4 1
0 1 1
2 1 4
2 3 2
2 2 4
4 4 3
10 8
2 2 1
1 2 2
2 2 0
0 0 1
1 2 0
2 1 0
1 2 1
2 0 0
2 1 2
0 1 2
10 9
2 3 4
2 1 1
2 0 1
2 0 0
3 3 1
3 2 2
3 0 2
3 1 0
1 2 3
1 0 1
10 5
2 2 1
0 0 1
2 3 3
0 0 3
1 2 0
3 2 3
0 3 2
1 0 3
1 2 2
0 0 2
10 3
3 0 2
3 2 3
0 0 3
1 3 1
0 3 1
2 3 0
1 3 0
2 1 2
2 1 3
1 3 3
10 5
2 0 4
3 0 0
2 0 5
2 3 3
4 1 5
2 1 3
3 2 0
2 1 1
2 0 0
2 3 2
10 5
3 3 2
0 2 2
0 0 3
0 1 3
2 2 0
0 2 0
3 2 1
3 3 3
2 1 1
2 1 3
10 8
2 2 0
5 3 0
0 1 0
1 1 2
2 2 1
4 0 4
3 3 4
2 0 0
0 0 5
0 5 4
10 7
3 0 4
2 1 2
0 3 4
2 4 0
3 0 3
1 4 4
4 0 3
0 0 3
4 1 4
0 4 3
10 8
2 0 4
0 1 3
2 5 3
1 0 0
3 5 3
2 5 5
0 0 0
3 5 2
1 4 1
3 2 5
10 4
1 1 1
2 1 1
0 0 1
2 0 1
1 1 2
0 1 1
1 0 0
0 1 2
0 2 2
0 0 2
10 9
3 0 2
4 0 3
1 0 0
2 1 2
3 1 3
4 1 4
4 2 2
3 1 4
3 3 2
4 1 2
10 8
2 0 1
0 2 0
1 0 2
0 1 1
2 0 0
2 2 1
0 1 0
1 1 2
2 2 2
1 1 1
10 7
1 2 1
0 1 0
2 0 1
1 0 0
2 0 0
0 2 2
2 1 0
1 1 2
2 1 2
1 1 0
10 9
2 0 1
2 1 2
2 1 1
2 2 1
0 1 2
1 2 0
0 1 0
0 2 0
2 2 0
1 0 1
10 9
0 1 1
3 0 1
2 1 2
2 0 0
2 1 1
3 3 0
1 0 0
3 2 3
3 3 3
1 2 1
10 5
1 3 3
1 3 2
3 2 2
3 0 0
2 2 1
1 2 2
1 2 3
3 3 2
0 1 0
3 2 1
10 9
0 3 2
3 4 1
0 3 4
4 2 1
4 0 1
4 3 1
2 4 1
4 4 3
4 3 0
1 2 3
10 3
5 3 3
1 4 3
5 5 0
4 3 1
0 5 0
4 4 0
0 0 3
5 1 3
5 1 5
3 1 5
10 9
4 1 3
3 3 1
2 4 2
1 0 2
4 0 0
4 0 1
3 0 0
1 2 1
2 1 4
1 1 4
10 9
0 2 0
0 2 2
0 0 2
2 0 1
1 0 2
0 1 1
2 2 2
0 1 2
2 1 2
1 2 2
10 3
1 0 3
1 2 3
2 3 0
1 3 0
0 1 2
2 1 1
1 1 2
1 2 2
2 0 0
0 1 1
10 2
3 4 0
0 3 2
2 1 0
4 3 4
3 0 2
1 1 3
1 0 0
4 1 1
2 0 2
3 1 3
10 9
2 5 1
4 4 3
0 4 3
0 3 3
0 2 5
2 5 3
3 5 5
5 5 0
2 3 4
5 0 3
10 8
2 3 2
1 2 4
2 3 3
3 4 5
0 2 5
1 0 0
1 0 4
5 3 2
2 4 4
4 4 2
10 6
0 1 1
0 0 0
0 2 0
2 1 1
2 1 0
1 1 0
0 2 1
2 2 0
0 0 2
1 1 1
10 8
3 3 4
0 1 0
3 3 0
0 2 2
3 4 2
0 0 3
0 0 0
0 0 2
0 1 4
2 0 2
10 9
2 1 2
1 1 3
0 1 3
2 0 1
1 0 2
0 0 1
2 0 0
2 2 3
2 3 3
0 2 1
10 7
2 3 3
2 3 2
3 3 3
2 1 1
2 2 2
1 3 3
2 3 1
3 1 3
2 0 0
3 2 0
10 4
2 2 2
1 1 0
0 1 1
1 2 0
0 0 1
0 2 0
2 0 2
1 1 1
2 2 1
1 0 0
10 7
4 2 0
3 1 2
3 1 1
0 0 2
4 2 4
1 4 0
2 5 1
5 5 5
5 5 2
3 0 5
10 4
3 1 0
0 0 2
2 3 3
1 3 1
4 3 1
1 1 3
4 1 4
3 0 3
3 4 1
0 2 2
10 6
2 0 1
1 0 2
0 0 1
1 2 0
1 1 0
1 2 2
2 0 0
2 1 0
1 0 1
1 2 1
10 4
1 2 3
4 2 2
1 2 4
4 2 1
3 3 4
3 0 3
3 2 0
1 1 1
0 1 4
2 3 4
10 9
0 0 1
3 2 2
1 3 3
3 3 2
1 0 0
2 2 3
1 3 1
3 3 0
2 1 2
0 1 3
10 5
0 0 1
1 0 2
0 2 0
2 0 1
3 2 3
3 2 1
2 1 0
2 0 2
1 2 2
2 2 2
10 4
2 0 0
0 2 0
1 1 1
1 0 2
1 1 0
0 2 2
0 0 1
1 0 0
0 1 0
0 0 2
10 4
2 0 2
1 0 1
0 1 0
2 1 1
2 1 2
0 0 2
0 1 1
1 1 1
0 2 1
2 2 1
10 6
2 0 1
0 1 2
0 0 1
1 0 0
1 0 2
0 1 1
2 2 0
0 2 0
2 0 2
1 2 1
10 6
2 1 1
1 2 1
0 0 1
1 1 2
2 1 0
2 2 0
2 2 2
0 2 0
2 0 0
0 1 0
10 3
4 2 0
0 4 3
4 0 4
1 0 4
3 4 3
1 0 1
4 2 4
1 1 3
3 0 1
3 3 2
10 2
0 1 2
1 0 0
0 2 0
2 0 2
1 1 1
0 0 1
2 0 1
0 0 0
2 1 2
0 1 0
10 7
2 0 1
0 2 0
2 2 1
1 0 2
0 0 1
1 2 0
1 2 2
2 1 1
1 1 1
1 0 1
10 5
2 1 0
2 0 3
0 2 0
2 2 3
0 3 0
0 0 3
0 3 1
1 2 3
2 0 1
2 0 0
10 7
2 2 1
1 0 1
1 2 1
1 1 1
2 0 0
1 0 0
1 1 0
2 2 2
2 1 1
0 0 1
10 2
2 2 0
0 2 0
2 0 2
0 2 1
0 0 0
1 0 0
2 2 1
0 1 2
2 1 0
1 1 2
10 3
1 2 0
1 2 2
1 0 2
0 1 2
1 1 0
2 2 0
2 1 1
0 1 0
0 0 2
2 2 1
10 2
2 3 1
0 1 0
5 1 5
5 0 2
2 5 5
0 5 3
2 1 2
2 2 0
3 3 5
4 3 0
10 8
1 3 3
1 1 2
1 1 0
2 0 1
0 0 2
2 2 1
2 3 2
0 2 2
1 3 0
3 2 3
10 5
5 4 2
0 5 4
5 3 3
0 4 2
1 5 5
4 1 2
1 0 2
3 4 3
2 0 5
4 4 5
10 7
0 1 1
2 1 0
0 2 1
1 0 0
0 0 0
1 1 0
1 0 2
1 2 0
2 2 1
2 1 2
10 8
2 2 2
1 1 0
2 0 2
0 2 0
2 2 0
2 1 1
1 1 1
2 0 0
2 0 1
2 1 2
10 6
2 2 0
1 2 1
1 1 2
2 0 0
0 1 1
0 2 0
2 0 2
1 1 1
0 0 2
0 0 0
10 9
1 1 4
1 0 1
3 3 3
3 3 4
3 4 0
0 1 0
1 0 0
3 0 0
0 2 3
2 2 0
10 2
1 2 2
0 1 3
1 3 0
1 1 0
3 0 0
2 1 1
1 0 0
2 2 0
1 3 1
1 3 2
10 8
3 2 1
1 1 1
1 2 2
0 0 4
4 1 0
4 4 2
2 4 4
1 4 1
1 4 3
4 3 2
10 4
4 0 3
0 3 1
0 0 2
4 4 2
3 0 4
2 2 3
4 0 4
5 4 2
5 1 3
2 1 5
10 2
1 2 2
3 2 1
2 5 4
4 1 0
3 0 1
5 2 3
1 4 4
1 0 2
2 5 0
4 1 2
10 8
4 3 5
4 2 1
2 5 0
2 2 4
1 4 3
2 2 1
2 4 5
0 5 3
3 2 5
1 0 1
10 8
3 3 2
0 0 3
1 1 0
1 3 0
0 1 2
2 2 2
3 0 2
0 1 3
1 2 3
3 2 0
10 3
0 2 0
0 1 0
1 2 1
1 2 0
2 1 0
0 1 1
2 1 2
1 0 0
1 0 1
1 1 2
10 8
2 0 2
1 3 2
1 1 1
2 1 0
3 2 0
3 3 1
0 3 1
0 2 0
0 2 1
2 3 3
10 9
0 0 1
1 0 2
0 1 2
2 2 0
1 0 0
1 2 1
1 1 1
2 0 1
2 0 2
0 2 0
10 9
0 2 3
0 1 3
2 2 0
0 3 2
0 0 2
1 3 0
0 3 3
2 1 2
3 1 2
3 3 2
10 6
2 1 2
0 1 1
1 1 2
1 1 0
0 0 0
1 0 1
1 2 1
1 0 2
2 0 2
1 1 1
10 8
3 2 2
3 3 3
0 2 1
2 4 1
4 1 1
2 4 2
3 1 2
4 1 3
3 3 0
2 2 4
10 3
3 2 2
3 3 3
0 3 1
0 3 3
3 0 0
1 3 2
1 3 0
2 0 0
0 2 3
0 0 2
10 6
1 1 0
1 1 2
1 0 2
0 2 2
0 0 0
1 0 1
2 0 0
1 2 0
1 2 1
0 2 0
10 5
1 0 0
0 2 1
1 2 2
0 2 0
0 1 2
0 2 2
0 0 0
0 1 0
1 2 1
1 1 1
10 8
1 2 4
4 4 0
1 4 0
2 0 1
2 4 0
0 2 0
0 1 3
4 2 1
3 2 2
0 4 0
10 3
1 4 2
3 4 0
3 2 4
1 1 3
0 1 3
0 2 4
2 2 1
0 4 3
1 1 2
0 0 1
10 3
1 2 3
0 1 3
3 1 0
2 2 2
3 1 3
0 3 2
0 0 0
2 1 1
3 0 3
3 0 2
10 9
2 1 2
0 1 2
0 2 2
3 0 1
1 2 1
0 0 1
1 1 2
3 2 3
3 0 2
2 3 1
10 2
0 1 0
2 0 3
0 1 2
2 3 3
1 2 0
2 1 2
0 1 1
3 1 1
3 3 2
3 0 2
10 5
5 2 4
3 3 3
2 1 4
1 1 5
4 4 1
1 4 2
3 5 0
2 2 0
4 5 4
3 1 4
10 4
2 1 1
1 2 1
2 2 1
1 2 2
1 2 0
0 2 1
1 1 0
2 0 2
1 1 1
2 0 0
10 8
2 2 2
2 1 2
0 0 1
3 2 3
1 1 0
2 3 2
0 2 1
1 2 2
2 1 1
0 0 2
10 7
0 3 5
0 5 2
0 0 1
5 4 0
4 4 2
1 2 2
0 5 1
0 2 0
2 1 5
5 0 3
10 9
2 2 2
0 0 0
0 0 1
1 0 1
2 1 1
0 1 1
1 2 0
2 1 0
2 1 2
1 0 0
10 5
1 0 4
3 5 3
5 4 3
2 0 4
3 4 4
2 0 5
4 4 1
0 3 3
3 1 5
5 4 0
10 8
0 0 2
0 3 2
2 0 2
0 3 3
2 1 3
1 0 1
1 1 0
0 1 3
1 2 0
1 1 1
10 5
2 1 2
1 2 1
0 2 1
0 1 2
1 1 0
0 0 2
1 0 0
2 0 0
2 2 1
2 2 0
10 5
5 2 4
5 4 0
3 2 3
4 0 3
1 4 2
3 1 3
3 5 1
5 3 0
2 5 3
3 4 0
10 2
5 5 1
5 4 4
3 4 1
2 1 5
0 4 3
0 3 0
5 4 2
4 0 0
0 0 5
2 2 1
10 4
3 1 2
2 4 1
3 3 3
1 5 3
5 2 5
4 4 3
2 4 3
1 4 5
0 5 5
1 0 2
10 5
0 2 0
1 3 1
2 1 1
3 1 3
1 3 3
0 0 3
3 2 2
2 2 3
0 3 2
2 2 0
10 7
0 1 2
2 1 1
2 2 2
2 1 3
3 3 0
2 0 2
1 1 1
3 2 0
3 3 1
1 3 3
10 9
0 2 0
1 4 1
0 0 0
2 1 3
4 1 4
1 0 4
4 4 3
2 1 0
0 4 4
1 2 3
10 8
1 1 2
2 2 0
2 0 1
0 2 2
2 0 0
0 0 2
0 1 0
1 2 1
2 1 1
0 1 2
10 3
2 2 1
2 1 1
4 2 0
4 4 1
1 0 4
3 1 0
4 4 3
0 0 4
2 0 2
3 0 0
10 8
0 2 3
0 2 2
0 0 4
0 0 3
0 2 0
1 2 4
1 2 2
4 1 3
1 0 1
2 4 0
10 9
1 1 2
1 2 1
1 0 1
0 2 0
2 1 2
2 0 2
2 2 0
2 0 1
0 1 2
2 0 0
10 2
4 4 4
4 3 2
2 1 1
1 1 4
2 4 1
3 2 4
2 3 1
2 0 3
1 0 0
1 3 2
10 9
0 3 2
2 2 1
2 3 0
1 3 0
1 1 2
2 1 3
2 3 1
3 0 1
0 2 1
2 0 0
10 3
3 2 0
0 2 2
1 0 2
1 3 1
0 1 0
3 1 3
3 3 3
2 0 0
2 0 3
1 3 0
10 5
1 2 1
0 3 3
0 3 1
3 1 0
0 3 2
2 2 0
3 0 1
2 2 2
3 0 2
1 1 2
10 4
3 2 1
4 4 1
3 0 2
3 1 2
0 2 3
0 1 2
3 1 4
0 4 4
1 0 3
0 3 4
10 7
1 3 3
3 0 3
2 0 3
2 1 3
3 1 0
3 2 1
3 2 3
0 2 2
2 2 2
3 3 1
10 7
2 2 2
0 2 2
1 1 2
0 0 0
0 1 0
1 0 1
0 0 1
1 0 2
2 1 0
0 0 2
10 8
3 2 3
1 0 1
0 1 0
0 1 1
0 3 1
3 1 2
0 3 3
1 2 2
3 1 3
2 1 3
10 8
2 0 1
0 1 1
3 3 0
3 1 3
0 3 3
2 1 0
3 3 3
2 0 0
1 3 1
3 3 2
10 6
2 0 0
3 0 2
3 1 0
4 1 0
3 4 0
0 4 0
2 4 1
4 2 0
4 0 2
1 4 0
10 9
0 1 1
0 2 1
0 1 2
1 1 1
0 2 0
2 2 2
2 1 2
0 0 2
1 0 2
0 2 2
10 7
2 3 1
0 4 3
5 1 5
5 1 0
3 3 3
4 0 2
1 1 2
5 3 3
3 0 0
2 4 3
10 4
2 2 1
0 2 3
3 0 3
3 2 2
3 1 1
2 1 1
0 3 3
2 0 3
3 1 3
2 3 1
10 8
1 2 0
1 1 1
1 0 2
2 1 0
2 0 0
0 0 2
1 2 2
2 0 1
0 0 0
0 1 0
10 9
1 2 0
0 1 1
0 0 1
0 2 1
2 0 1
1 0 0
2 0 0
1 1 0
0 1 0
1 0 2
10 4
2 0 0
0 2 3
0 3 0
0 0 3
2 3 1
2 4 2
1 2 4
4 3 0
0 4 2
4 1 3
10 3
1 2 2
1 1 2
2 0 1
2 2 1
0 0 2
1 0 2
2 0 2
0 0 0
0 2 2
0 1 0
10 9
3 1 1
5 4 1
3 2 2
2 5 0
5 4 2
2 3 4
5 4 0
4 5 1
5 1 5
2 1 4
10 9
3 0 0
4 3 0
0 2 2
0 0 0
0 4 4
1 2 0
1 0 4
1 4 4
2 1 3
3 4 1
10 9
0 1 4
3 3 1
4 1 0
4 1 1
2 4 2
3 0 1
2 1 3
0 1 3
3 2 2
3 3 3
10 4
2 0 1
2 3 0
0 0 2
2 5 5
3 3 0
4 2 3
5 1 1
0 0 5
3 5 4
1 1 3
10 6
0 2 3
4 3 0
2 4 0
0 4 4
4 2 5
0 0 1
0 4 5
0 0 5
5 2 2
1 2 4
10 7
2 1 1
2 0 0
1 4 2
4 3 1
4 2 3
3 4 1
3 1 1
2 0 2
3 3 3
1 4 1
10 8
1 1 4
5 0 1
3 0 1
4 0 1
2 0 3
2 4 3
4 1 3
1 4 3
5 0 2
3 3 2
10 2
1 0 2
0 0 0
1 2 1
0 0 2
2 2 2
2 0 2
0 1 1
1 1 2
1 2 2
0 1 2
10 9
0 1 3
0 2 0
1 3 3
1 0 3
3 1 0
0 3 2
2 3 0
3 1 2
2 2 0
3 0 3
10 4
1 0 2
4 4 2
3 4 2
3 3 0
4 1 4
2 3 0
0 3 0
1 1 0
2 3 3
0 3 3
10 8
0 1 2
0 0 2
1 2 0
1 1 1
2 1 2
2 0 2
2 1 1
1 2 2
1 1 0
1 0 0
10 3
3 1 3
3 1 2
1 1 3
1 3 0
1 1 1
3 2 1
1 0 3
2 0 0
2 1 1
2 2 2
10 6
0 4 0
2 3 5
2 2 4
0 1 1
1 3 3
0 2 4
5 0 1
1 5 1
1 1 3
3 0 4
10 2
5 2 2
3 0 1
1 5 3
1 5 5
5 1 2
2 4 2
0 2 0
1 4 5
4 5 1
2 3 4
10 6
4 4 4
1 4 0
3 3 0
3 4 0
1 1 3
2 0 2
2 4 0
4 1 3
1 0 0
1 2 1
10 5
3 2 1
1 1 3
0 3 3
2 0 1
0 3 1
0 0 3
3 3 2
1 3 2
2 0 0
2 3 0
10 2
0 2 2
1 0 2
2 2 2
0 1 2
0 1 0
1 1 2
2 1 0
0 0 0
1 2 0
2 0 1
10 4
4 0 1
2 3 2
0 3 0
1 1 3
0 0 3
4 3 0
0 4 2
1 0 3
3 2 4
2 4 0
10 4
4 0 4
3 2 5
0 0 0
3 4 0
4 4 2
2 0 0
3 1 5
0 5 3
3 2 3
1 1 1
10 9
1 1 0
2 0 1
2 2 1
0 2 1
1 0 2
1 2 2
0 1 1
1 1 2
1 0 0
0 0 2
10 3
1 3 0
0 3 0
3 2 1
0 3 2
2 1 0
0 3 3
2 2 3
1 1 3
2 3 0
1 2 0
10 3
2 4 4
0 2 3
5 2 0
3 2 0
0 0 0
3 4 3
0 3 4
5 5 5
0 3 0
4 5 5
10 6
5 3 5
2 4 1
0 5 0
4 4 4
2 5 2
2 3 4
0 0 4
1 3 3
5 4 5
5 5 3
10 9
2 0 4
0 5 1
2 0 3
5 2 1
2 1 2
4 0 3
1 1 1
0 5 5
1 0 4
5 4 0
10 4
1 2 3
4 0 0
3 1 2
5 3 5
5 3 1
4 1 0
2 5 4
5 5 1
1 0 5
0 4 5
10 8
3 1 1
0 4 1
2 4 4
4 1 0
3 3 0
2 2 1
2 4 3
3 0 3
4 4 1
3 3 3
10 8
0 2 0
2 2 0
0 0 2
0 0 0
1 2 0
1 0 2
1 2 1
1 0 1
2 1 1
0 1 1
10 7
2 0 0
0 2 3
3 3 2
1 2 3
2 0 1
3 1 3
2 3 2
1 3 3
2 2 0
0 0 3
10 6
2 1 2
2 0 0
0 2 1
1 1 0
2 0 1
2 2 1
1 0 2
2 2 2
0 0 2
1 2 2
10 4
2 2 3
4 4 1
2 4 5
0 4 5
3 2 1
1 3 0
4 4 0
4 5 5
1 5 5
0 0 0
10 6
1 5 1
0 4 1
0 0 5
5 3 2
4 3 5
4 0 0
0 3 3
5 3 5
1 1 2
1 2 3
10 6
0 1 1
1 1 3
0 1 0
1 0 3
1 0 2
3 3 1
1 3 3
0 3 1
2 2 3
3 2 3
10 4
0 2 0
0 0 2
0 0 0
2 2 1
2 2 2
1 2 1
1 1 0
0 1 2
1 2 0
2 0 0
10 8
1 2 1
1 0 0
1 0 1
2 2 1
1 1 0
0 2 2
0 2 0
1 2 2
1 1 1
2 0 1
10 7
1 1 0
1 0 2
0 1 0
1 2 0
2 1 1
0 2 2
2 2 0
2 1 2
0 0 0
2 2 1
10 8
2 4 0
1 4 0
2 1 3
3 0 0
1 2 0
2 0 0
4 1 0
3 3 1
4 4 4
3 2 0
10 5
2 0 0
1 2 0
0 2 2
2 2 1
0 1 1
2 0 1
0 1 2
1 2 1
1 0 2
1 1 0
10 4
1 1 0
1 3 0
0 4 2
2 1 4
5 0 0
3 2 5
0 3 1
5 5 4
2 5 5
3 0 4
10 8
1 2 0
0 0 1
1 1 0
2 2 2
0 2 1
2 2 0
1 0 0
1 2 1
0 0 0
2 0 1
10 4
3 3 4
4 0 2
3 4 1
1 0 2
3 4 3
1 1 1
3 2 0
0 2 2
4 2 1
0 3 1
10 5
0 0 1
1 2 0
0 2 1
0 2 0
2 0 1
1 0 2
2 0 2
0 1 1
0 0 0
1 0 0
10 7
3 2 0
2 2 1
1 0 2
0 2 3
3 2 3
0 3 0
3 2 1
2 1 0
1 3 1
2 0 1
10 5
0 2 1
1 1 0
1 2 0
1 0 0
0 0 1
2 1 2
0 2 0
2 2 2
1 0 2
2 1 0
10 5
1 0 0
2 0 1
0 2 0
2 0 2
1 1 0
1 0 1
2 1 1
1 1 2
0 0 0
1 2 2
10 6
3 0 3
0 1 4
5 2 3
3 2 4
2 5 3
3 1 4
0 3 4
4 2 4
5 5 3
2 4 1
10 5
0 4 4
4 0 2
4 3 3
3 0 2
3 0 0
3 2 1
2 3 2
4 0 1
0 2 0
0 0 1
10 2
0 2 1
3 0 3
2 3 0
1 0 2
0 0 1
0 3 2
2 0 2
1 3 3
1 1 3
3 0 0
10 2
0 0 0
0 2 2
1 2 1
0 1 0
1 0 1
2 0 1
2 1 0
0 0 2
1 1 2
1 2 2
10 8
1 1 0
0 0 0
2 2 0
2 0 2
1 2 0
0 1 0
2 0 1
0 0 2
1 1 1
2 1 2
10 9
3 1 2
2 4 3
0 2 0
0 0 4
0 0 2
4 1 3
3 4 4
2 0 2
0 2 3
3 1 4
10 2
5 3 1
1 5 5
5 1 2
5 2 3
3 3 2
0 4 3
0 1 0
2 0 5
1 2 5
2 0 1
10 9
0 1 3
2 0 0
1 2 2
1 1 1
1 2 1
3 3 2
2 3 1
1 1 3
0 2 3
2 0 2
10 8
2 1 1
1 1 0
1 3 3
2 2 1
3 1 2
3 1 3
0 0 2
2 1 3
2 0 2
3 2 0
10 5
3 1 5
4 5 2
0 1 1
3 4 3
1 4 1
3 3 3
5 1 1
4 1 1
4 4 4
5 2 0
10 4
1 0 5
2 5 2
4 0 0
1 1 2
1 4 4
4 5 2
2 0 5
2 5 3
0 0 4
5 1 0
10 7
1 2 4
3 4 0
1 0 2
1 3 0
3 2 0
1 4 2
0 0 1
1 2 3
2 2 3
0 1 3
10 4
0 0 0
2 2 0
2 2 1
0 2 2
1 1 2
1 2 0
0 1 0
1 2 1
2 1 0
2 1 1
10 8
3 5 1
1 5 5
5 0 0
4 4 0
0 2 5
0 1 3
0 0 2
5 5 2
4 4 4
3 1 4
10 3
0 2 2
0 2 0
0 1 1
2 2 2
1 0 0
1 1 0
1 2 0
1 0 1
0 1 2
2 0 0
10 9
0 1 0
0 2 0
2 0 0
2 3 3
3 1 3
0 0 2
3 0 1
2 0 1
1 2 0
1 3 1
10 5
3 1 0
0 0 1
3 2 0
1 3 1
2 0 2
1 3 2
2 0 3
0 1 1
1 2 1
1 1 3
10 2
2 1 2
1 1 0
0 1 1
1 1 2
0 2 2
1 2 0
2 2 2
0 2 1
1 1 1
2 1 1
10 3
0 1 0
2 3 1
3 0 3
2 4 1
1 1 2
2 4 2
4 4 0
2 2 1
3 4 4
3 0 4
10 3
1 4 4
2 3 1
4 2 0
4 0 1
1 2 1
3 1 1
0 1 4
4 2 1
3 0 1
0 2 3
10 8
2 0 1
2 1 0
2 2 0
2 1 2
1 0 1
2 2 2
1 1 0
1 0 0
0 1 1
1 2 0
10 5
1 1 3
2 0 3
1 2 1
0 2 3
3 0 0
2 3 1
3 3 1
3 3 0
3 1 3
1 2 3
10 2
0 1 1
2 2 1
0 0 1
2 1 0
1 0 0
0 0 2
2 2 0
2 2 2
0 1 2
2 0 2
10 9
2 1 4
5 2 0
3 4 5
4 2 1
5 1 2
3 2 1
0 0 3
2 2 3
5 3 3
1 4 2
10 9
1 3 4
3 2 2
1 3 3
5 5 5
0 3 5
2 0 3
1 2 0
2 5 2
4 2 3
0 1 5
10 3
2 0 1
2 2 2
2 2 1
1 1 2
1 2 2
0 2 0
0 1 1
0 1 0
2 1 2
1 2 1
10 8
1 2 5
1 4 2
3 5 5
3 0 4
1 3 1
1 0 1
4 4 0
0 0 2
1 3 3
1 4 0
10 6
0 2 3
0 1 2
2 2 2
3 1 2
2 3 2
3 2 2
0 1 1
0 3 1
0 0 1
0 3 0
10 3
2 1 0
2 0 3
2 3 2
0 1 2
0 0 2
0 2 3
3 1 0
3 1 1
1 2 1
0 3 3
10 5
0 0 4
3 3 1
0 1 1
4 1 2
4 3 1
3 0 0
2 1 2
4 4 3
2 2 1
1 1 2
10 4
1 5 3
1 4 4
3 2 4
1 4 2
0 4 5
2 4 1
3 0 1
0 1 2
5 1 4
1 5 5
10 3
1 0 2
2 2 1
1 0 1
2 2 2
2 2 0
1 2 2
0 1 0
0 1 2
0 2 1
1 0 0
10 5
0 4 4
4 5 3
4 1 3
5 5 1
1 5 3
0 3 0
0 5 4
1 0 1
1 0 0
2 1 3
10 6
0 1 0
0 3 0
0 3 2
0 2 3
1 2 2
3 0 0
1 3 0
2 0 1
1 3 2
3 1 2
10 9
1 3 3
4 0 2
3 2 4
2 3 1
4 4 4
4 1 2
3 1 4
3 0 1
0 3 2
1 4 0
10 2
1 0 0
2 1 1
3 3 0
2 2 3
0 0 2
0 1 3
3 0 0
2 1 2
1 1 2
0 2 0
10 7
2 2 2
1 2 1
0 1 0
0 0 1
2 2 1
1 2 0
2 1 0
0 2 0
1 2 2
2 0 2
10 7
3 4 4
5 3 0
3 5 1
5 4 4
3 3 5
0 4 2
4 5 5
2 3 0
0 4 1
5 5 5
10 2
0 3 3
4 3 4
0 0 4
1 2 3
0 3 1
3 0 1
0 4 1
2 3 4
2 4 3
2 1 3
10 6
3 1 1
4 1 4
4 1 2
3 3 1
3 4 2
0 1 1
2 2 2
1 1 4
4 1 1
1 4 3
10 3
4 3 1
1 4 0
4 4 0
4 0 2
3 1 4
3 3 0
3 0 0
1 1 2
4 2 1
0 1 2
10 2
1 0 0
2 1 2
0 2 0
1 2 1
0 1 1
2 0 2
2 0 0
2 1 0
1 0 1
1 1 0
10 7
3 2 0
4 1 1
4 3 4
4 5 0
3 0 4
0 1 0
0 1 4
0 4 3
4 5 3
4 2 2
10 9
1 2 1
0 1 1
2 2 2
1 1 0
0 1 2
2 2 1
0 2 1
1 2 0
2 0 0
0 0 1
10 6
0 4 2
4 1 2
1 1 2
1 1 1
0 0 1
3 1 1
3 4 2
3 0 2
4 4 3
0 2 1
10 9
1 2 2
2 2 3
3 3 1
4 0 4
3 2 3
4 4 2
1 3 3
0 4 0
4 4 4
2 1 2
10 2
2 4 2
2 1 1
0 2 3
4 0 3
4 0 2
0 0 0
1 1 0
3 0 0
3 2 4
0 2 1
10 7
2 0 4
3 1 2
3 5 1
3 5 5
2 0 2
1 1 4
5 4 0
5 4 3
1 5 2
5 1 4
10 6
4 4 2
0 2 2
1 2 3
3 1 3
0 2 4
0 4 0
3 0 1
3 0 0
2 1 3
3 2 2
10 8
2 1 1
1 0 0
1 2 2
0 2 2
0 2 1
0 0 2
1 0 2
2 1 0
2 2 0
2 0 2
10 9
3 1 2
1 3 0
1 2 0
2 1 2
3 1 0
1 3 2
2 3 0
1 0 3
1 1 1
2 0 0
10 2
1 1 2
0 1 1
3 3 1
3 4 1
4 1 0
2 4 2
4 3 1
2 3 4
0 1 4
3 4 4
10 4
0 0 0
0 1 0
0 0 1
2 1 1
0 2 2
0 2 1
0 1 2
0 0 2
2 2 2
2 0 2
10 5
5 4 4
3 4 1
0 1 3
0 5 3
1 0 2
2 2 3
2 5 4
4 4 2
3 1 5
2 5 5
10 6
2 3 0
3 3 3
3 0 3
1 2 3
4 4 4
1 4 2
2 0 4
3 0 2
2 4 3
3 4 3
10 5
0 2 3
2 3 3
0 1 3
2 2 3
2 0 2
3 0 0
1 0 2
0 1 1
1 3 1
0 1 0
10 6
5 4 0
1 3 2
4 2 1
3 0 1
1 2 0
0 3 1
3 4 0
1 0 0
0 1 5
2 0 4
10 3
4 0 0
1 2 0
2 1 2
1 2 2
3 4 4
0 4 4
1 2 3
2 1 3
2 4 3
1 4 1
10 4
0 0 0
3 0 2
0 2 2
3 3 1
2 2 0
1 1 1
1 3 2
0 1 1
1 2 1
2 1 2
10 8
4 4 0
3 4 5
5 0 2
2 2 3
3 5 2
3 0 0
2 4 5
0 2 4
2 5 1
3 5 3
10 5
3 3 3
3 2 2
2 4 2
0 1 1
4 3 4
2 2 4
3 3 2
3 3 4
0 0 4
0 4 0
10 5
2 0 2
2 1 2
1 1 2
2 1 0
1 0 0
2 1 1
0 2 0
1 0 2
2 2 0
1 1 1
10 3
1 5 5
5 0 0
4 4 1
3 1 2
2 0 2
3 5 2
2 2 0
5 5 3
5 2 2
0 0 2
10 2
2 2 1
2 3 0
1 2 3
0 3 3
0 2 1
0 0 0
0 3 2
0 2 2
2 1 2
0 2 0
10 6
2 2 1
1 0 0
0 1 2
0 0 1
0 0 0
1 1 0
2 2 0
1 2 1
0 1 1
1 2 0
10 8
1 4 3
1 1 3
2 3 3
1 3 4
0 1 2
3 3 4
0 3 1
2 1 2
4 2 2
1 3 0
10 8
1 0 0
2 2 0
2 0 0
1 0 1
0 1 2
1 2 2
2 2 1
0 0 1
1 1 2
0 2 0
10 6
1 2 0
1 3 1
3 4 0
4 0 1
0 1 4
3 2 0
3 3 0
3 2 4
3 2 3
1 4 4
10 5
1 0 0
4 1 3
0 2 2
0 1 3
4 1 1
4 4 0
2 2 0
0 4 2
3 0 4
4 0 1
10 8
1 2 2
0 5 5
5 2 1
5 3 0
0 2 1
0 0 2
1 1 4
2 3 3
1 2 5
3 1 2
10 2
2 2 1
1 0 1
0 2 2
1 0 2
0 1 2
0 2 1
2 0 0
2 0 2
1 2 1
2 1 1
10 7
0 3 0
4 2 1
4 4 0
3 3 0
2 2 1
2 2 0
1 4 2
4 4 1
3 5 3
0 1 4
10 2
5 0 4
0 2 0
2 5 3
3 4 2
3 3 5
1 4 4
1 2 3
4 5 5
5 5 4
1 5 0
10 6
1 1 2
1 0 1
2 1 0
0 1 0
2 2 1
1 1 0
0 2 1
0 1 2
2 0 0
2 2 0
10 2
1 2 3
1 1 1
2 1 3
2 3 0
1 0 0
0 2 3
2 3 2
0 0 1
1 3 2
2 0 3
10 8
1 1 0
1 0 2
1 0 1
2 1 0
2 1 2
0 0 0
0 1 1
0 0 1
0 0 2
0 2 0
10 5
1 0 1
1 1 0
1 2 2
2 1 2
0 0 2
2 1 0
2 2 0
2 2 2
0 0 1
2 2 1
10 6
1 1 0
1 1 1
1 2 0
0 1 1
1 0 2
0 0 2
0 2 1
2 0 0
2 1 0
2 0 2
10 3
4 1 0
4 5 0
1 4 5
0 3 0
5 4 4
1 5 3
5 1 2
2 4 1
4 2 4
0 2 3
10 3
0 0 1
0 0 2
1 0 1
1 1 1
0 1 1
1 1 0
1 0 2
2 0 0
1 2 0
0 2 2
10 3
1 1 5
4 3 2
0 5 5
0 1 1
3 5 1
5 4 4
5 3 4
3 4 0
3 0 0
5 4 2
10 4
2 0 0
3 1 2
1 1 4
3 0 3
2 1 2
0 2 0
0 4 0
3 4 4
4 3 2
1 1 0
10 2
3 3 2
1 2 1
2 2 3
1 3 1
0 3 3
0 1 0
3 1 2
1 0 0
3 2 3
0 0 1
10 8
1 3 3
1 0 3
0 3 3
0 1 4
1 1 3
1 0 0
3 2 3
3 1 3
2 2 2
1 4 3
10 2
1 2 1
1 1 1
1 0 0
0 0 1
1 2 0
0 2 2
1 2 2
2 1 1
0 2 1
0 1 0
10 7
0 1 3
3 0 1
1 1 3
3 3 2
0 0 1
0 3 3
2 3 1
4 1 2
0 4 2
2 2 0
10 2
0 4 4
2 0 0
1 3 0
1 3 2
3 2 3
4 1 1
4 3 0
1 2 1
0 2 1
1 1 0
10 2
5 1 0
4 5 3
4 2 0
1 5 5
1 0 1
1 1 3
4 5 5
0 2 4
3 1 3
1 4 2
10 6
2 1 0
0 0 2
1 2 0
2 0 2
0 2 0
0 0 1
0 1 0
1 2 1
1 0 1
2 0 1
10 8
3 3 3
3 1 5
1 2 5
4 0 3
4 5 1
0 2 2
1 1 0
4 3 3
4 3 4
1 1 3
10 7
3 2 0
0 4 3
5 2 1
1 3 5
0 1 5
3 3 1
1 0 3
5 4 3
1 3 4
2 0 4
10 4
2 1 2
0 2 2
2 2 2
0 1 1
1 1 0
1 2 1
1 0 2
2 2 1
1 0 1
2 1 0
10 7
2 0 0
0 1 2
2 1 1
1 0 1
2 2 0
1 1 0
2 0 2
0 0 2
2 2 2
1 2 1
10 6
3 5 3
2 3 0
0 1 1
4 0 1
0 0 1
4 1 4
1 5 1
1 1 0
0 5 3
3 4 2
10 2
1 2 1
1 1 0
1 0 2
0 2 0
0 2 1
0 1 2
2 2 2
2 0 2
1 0 0
1 0 1
10 3
3 0 0
2 0 2
4 3 1
1 4 1
4 0 3
0 4 2
0 4 1
4 2 1
1 2 2
4 2 2
10 8
1 2 0
2 3 3
2 2 3
0 0 0
0 0 1
3 0 2
1 1 0
0 1 0
2 2 2
3 2 0
10 3
1 1 1
1 2 2
2 1 1
0 1 1
1 1 2
0 2 0
2 0 1
2 0 0
0 1 2
1 0 1
10 5
0 1 0
1 0 2
0 0 1
0 1 3
3 0 1
3 1 0
2 1 0
2 1 1
2 2 2
1 1 3
10 7
2 1 2
2 0 1
1 0 2
1 2 0
1 1 0
0 2 2
1 0 1
2 1 0
0 2 0
1 1 1
10 5
2 0 1
3 1 2
0 2 1
0 3 1
3 1 0
2 2 3
3 3 3
0 1 0
0 3 3
2 3 3
10 3
3 0 2
3 2 2
0 4 2
3 2 0
3 1 1
2 2 1
3 4 4
0 3 2
4 0 4
3 0 4
10 8
0 0 1
2 2 2
1 2 0
2 2 1
1 2 2
1 0 2
1 2 1
2 0 2
1 1 2
2 1 1
10 6
0 0 0
4 3 4
3 1 0
2 0 4
5 5 2
3 1 4
5 1 3
4 3 1
2 1 5
5 2 3
10 8
2 0 1
1 1 0
0 2 0
1 1 1
1 2 0
1 1 2
1 2 1
1 0 0
0 1 2
2 0 0
10 8
3 2 1
3 1 1
0 0 3
1 0 4
4 0 0
4 0 1
2 1 1
1 1 2
2 4 2
3 2 2
10 9
2 0 2
5 0 4
5 3 3
3 4 4
2 0 5
4 0 0
2 3 2
5 2 0
1 0 3
4 4 2
10 8
0 4 2
1 3 4
1 0 4
1 2 4
2 1 2
0 3 4
2 2 3
4 4 4
2 4 3
2 2 1
10 2
1 4 0
2 4 4
2 3 2
0 4 2
3 1 2
0 0 0
2 1 1
0 3 2
4 3 0
1 1 0
10 8
0 0 4
2 3 3
0 0 1
0 0 0
5 1 1
3 3 3
1 2 2
5 5 2
2 4 2
3 1 1
10 5
4 2 2
2 2 0
4 3 5
1 1 5
5 3 5
3 2 1
4 2 4
2 4 5
2 5 2
2 1 0
10 4
3 0 4
0 2 3
2 0 4
0 3 3
4 3 0
1 0 2
4 1 1
3 3 4
1 4 3
0 0 1
10 3
0 2 1
4 3 4
4 2 4
2 0 0
2 0 3
1 0 0
1 4 2
3 0 1
3 3 2
2 4 1
10 5
3 5 1
0 0 0
1 5 4
5 2 1
2 1 5
1 2 1
4 4 4
4 4 2
4 1 2
5 5 5
10 7
3 2 3
4 2 0
1 1 1
2 1 0
4 1 3
0 1 2
0 3 3
1 0 4
0 0 1
0 2 3
10 2
0 1 1
0 2 2
2 1 2
1 2 1
1 2 0
2 2 2
1 1 0
1 0 2
0 1 2
2 1 0
10 3
1 4 0
2 2 0
2 0 1
2 4 0
0 1 1
3 0 3
4 1 4
2 1 2
1 3 0
2 2 1
10 7
3 1 4
5 0 2
5 4 1
0 3 5
2 1 5
3 3 4
5 5 5
1 5 2
4 5 0
4 3 1
10 6
2 0 1
0 0 1
1 1 0
1 1 2
1 0 0
1 0 1
0 2 1
0 2 0
1 0 2
2 2 1
10 2
3 3 2
3 3 3
2 3 0
1 3 0
1 2 1
1 0 1
0 3 1
3 1 0
0 1 0
2 3 3
10 5
2 0 2
1 0 1
2 0 1
1 2 0
1 1 2
0 1 1
1 1 0
0 0 1
1 0 2
2 1 1
10 7
3 2 3
3 1 0
0 2 1
3 3 0
1 0 3
1 1 3
2 3 0
3 3 1
3 0 3
3 2 1
10 5
1 2 2
2 1 2
2 2 3
1 0 3
1 0 0
2 1 3
0 0 3
1 3 1
3 2 3
0 1 2
10 9
4 4 1
0 2 4
2 1 1
3 2 1
4 4 4
2 3 2
3 2 3
4 3 2
4 1 4
4 1 0
10 7
1 0 0
2 1 1
0 2 2
2 0 1
2 0 2
2 1 2
1 1 0
1 2 0
2 1 0
0 0 1
10 3
0 1 0
2 2 2
1 0 1
2 0 0
0 0 0
0 2 2
1 1 2
1 0 2
0 2 0
0 2 1
10 2
0 3 0
2 1 4
1 4 0
3 5 4
0 0 3
5 5 2
3 5 1
2 5 0
1 3 0
4 5 0
10 8
3 1 4
0 3 3
0 2 1
0 2 2
2 4 1
2 3 4
1 0 2
3 3 2
2 0 2
3 2 2
10 5
0 4 4
4 3 5
5 3 2
0 5 0
2 4 2
5 5 4
2 1 1
3 2 5
5 3 3
1 5 0
10 2
0 2 5
1 0 1
5 4 4
0 2 1
5 0 5
5 1 4
0 4 1
4 1 0
5 0 3
2 0 0
10 8
2 1 1
1 2 3
2 0 0
2 1 2
1 0 2
3 0 3
0 2 1
3 1 3
3 3 0
0 3 0
10 4
1 1 1
0 1 1
0 2 0
2 1 0
2 2 1
1 1 0
0 1 2
1 2 2
0 1 0
1 0 1
10 5
2 5 3
2 5 2
1 4 2
1 2 4
5 3 4
3 2 4
0 3 5
3 0 0
2 1 0
1 0 4
10 5
0 2 0
1 0 0
1 2 2
0 2 1
2 1 1
1 1 1
1 1 0
1 2 0
2 0 0
2 1 0
10 4
3 2 2
0 4 3
0 1 0
2 1 0
1 4 0
3 4 1
0 2 1
2 4 2
3 4 4
2 0 4
10 7
4 3 2
4 4 3
2 4 3
2 2 0
0 0 4
2 1 1
2 3 4
3 2 4
1 2 3
4 3 3
10 9
2 2 1
1 2 0
0 1 2
0 0 2
0 1 1
1 1 1
1 0 0
1 2 1
2 0 1
0 2 0
10 7
1 1 2
1 2 0
2 2 0
1 2 2
0 1 1
1 0 1
2 1 0
1 0 0
1 1 1
0 0 2
10 2
2 0 1
2 1 2
2 2 2
0 2 1
2 2 1
1 1 0
1 2 2
0 1 0
2 0 2
2 1 1
10 9
1 0 0
0 1 0
2 0 1
1 2 2
2 1 2
0 2 1
1 1 2
1 1 0
1 0 1
0 1 2
10 4
4 2 3
3 2 3
3 5 5
1 5 2
1 3 4
2 3 4
4 5 2
4 4 3
3 1 1
3 3 3
10 3
1 0 2
0 0 1
1 1 1
1 1 3
1 1 0
0 1 1
0 2 1
1 2 0
3 1 3
2 3 3
10 4
0 2 2
1 1 0
0 2 1
0 1 0
2 1 0
2 2 1
2 0 1
1 0 1
2 0 2
1 0 0
10 5
1 2 1
2 1 1
2 2 0
0 2 1
2 0 0
0 2 2
2 0 1
0 1 1
0 0 1
1 2 2
10 9
3 0 1
1 1 2
0 2 0
3 2 1
1 2 0
3 3 3
3 3 2
3 0 3
1 3 1
2 0 2
10 8
3 2 0
1 0 2
3 0 5
1 1 5
3 0 1
1 2 1
1 2 3
1 3 4
0 4 2
1 1 2
10 9
1 1 0
1 2 2
1 2 0
2 2 2
0 1 2
0 0 0
2 1 0
0 1 1
0 2 1
2 1 2
10 5
5 5 2
4 4 3
2 4 0
4 5 4
3 1 2
1 4 1
3 0 1
0 3 5
4 5 0
0 2 2
10 2
3 2 3
3 4 5
4 5 0
1 2 1
3 2 0
0 1 1
2 1 4
5 2 2
2 1 0
3 1 0
10 2
0 3 3
1 2 2
1 2 4
2 3 0
1 4 4
3 3 0
1 4 0
2 4 4
2 0 0
3 3 3
10 7
2 3 4
4 3 3
0 0 3
1 1 4
2 5 3
3 0 5
4 3 5
3 2 0
4 2 2
1 5 1
10 7
2 0 0
0 2 1
0 3 0
3 3 1
2 3 2
1 0 0
3 1 1
0 1 2
0 0 1
0 2 0
10 8
4 4 4
3 2 3
1 4 3
3 4 1
4 1 1
4 0 1
4 2 0
3 3 1
3 3 2
0 2 1
10 4
2 4 0
5 5 0
0 0 1
1 2 4
4 4 1
2 4 5
1 3 0
2 2 4
5 3 3
0 4 1
10 8
0 0 3
1 2 3
2 1 0
0 2 2
1 3 2
2 2 1
3 0 2
2 3 2
0 3 0
2 1 3
10 8
1 1 1
1 3 2
4 1 3
1 4 3
0 4 0
2 2 0
3 2 3
4 4 4
0 2 1
4 3 4
10 8
1 3 0
1 0 0
3 1 2
2 0 3
0 3 0
2 2 1
1 3 2
0 1 2
3 3 2
1 3 1
10 4
0 0 1
2 1 0
0 1 0
0 2 1
1 2 1
2 2 2
0 2 0
2 1 2
1 0 1
1 0 0
10 3
0 0 0
3 0 0
3 3 3
0 0 1
2 1 2
0 3 3
1 2 3
2 3 0
3 1 0
2 2 1
10 6
1 5 5
0 4 4
3 4 4
0 2 1
4 4 4
2 2 3
1 1 5
2 3 1
2 4 2
3 1 5
10 6
2 2 0
0 3 3
0 2 1
3 3 2
1 1 0
2 3 0
0 2 2
2 3 3
2 0 1
2 3 1
10 8
3 0 2
1 4 1
0 0 3
4 2 2
0 3 3
4 1 2
1 2 0
1 0 1
3 0 1
2 3 0
10 5
1 2 1
2 3 3
2 2 1
2 3 1
1 2 0
3 1 2
2 1 2
3 2 2
1 1 2
0 1 1
10 5
0 0 0
1 3 1
1 0 1
2 0 0
1 1 0
3 3 0
1 0 3
3 2 2
1 3 0
2 2 0
10 7
0 2 1
0 1 0
2 1 0
0 1 1
0 2 0
2 1 1
2 2 0
2 0 2
1 2 1
0 0 0
10 6
5 0 1
1 1 3
4 2 4
1 0 1
4 0 3
2 4 3
0 5 2
1 1 2
5 3 1
1 2 5
10 4
1 1 0
3 1 3
1 2 3
1 3 2
0 3 0
1 1 3
1 2 2
2 2 3
2 2 2
1 0 3
10 5
0 1 2
2 1 2
1 1 2
2 2 1
2 0 2
1 2 1
0 2 2
2 1 0
0 1 1
0 1 0
10 2
5 2 4
3 4 4
4 3 3
3 0 1
5 5 3
4 1 1
1 5 5
3 0 5
4 1 4
4 5 2
10 4
2 2 1
1 2 2
0 1 1
0 1 0
0 1 2
1 1 1
2 2 2
0 0 2
0 0 0
1 1 0
10 5
1 3 1
3 3 2
3 2 1
1 1 0
0 1 1
3 1 2
0 2 1
1 2 3
0 3 2
1 0 2
10 9
2 2 0
1 0 1
2 0 2
2 0 0
0 1 1
1 2 2
0 1 2
2 0 1
0 0 1
1 1 0
10 5
1 2 2
2 1 1
1 0 2
2 2 0
2 1 2
1 1 1
0 2 0
1 1 0
1 0 1
2 0 0
10 2
0 0 0
1 2 0
2 1 1
0 0 2
2 0 1
2 1 2
2 0 2
2 0 0
2 1 0
1 1 0
10 7
2 0 1
3 1 0
2 2 2
1 3 2
3 2 3
1 2 2
0 2 2
3 3 4
4 4 0
3 1 4
10 2
1 1 1
0 1 1
1 0 0
1 2 2
2 2 0
0 2 2
0 1 2
2 1 1
0 2 1
1 1 0
10 6
0 1 3
1 4 1
0 2 3
4 4 4
4 4 3
1 0 4
1 4 0
2 0 3
0 1 4
1 0 3
10 5
3 0 2
1 3 2
2 1 1
2 2 2
2 3 1
2 1 3
0 1 0
1 3 0
2 0 2
2 1 2
10 9
1 2 3
0 2 0
3 1 1
2 1 0
0 0 2
0 0 3
2 1 2
0 1 1
0 1 2
3 3 3
10 8
2 0 3
1 4 2
0 4 3
4 3 1
4 4 1
1 1 4
2 3 3
3 4 0
2 0 0
1 0 4
10 3
4 0 3
3 4 1
2 2 4
3 2 2
2 3 2
1 0 3
2 1 4
2 1 3
3 3 4
1 3 3
10 9
1 2 2
0 1 2
2 0 0
0 2 1
1 1 0
1 2 1
1 2 0
0 1 0
2 0 2
0 2 0
10 2
3 2 1
2 0 1
1 0 2
3 2 0
2 4 0
1 1 1
1 3 1
4 0 4
1 3 0
3 3 1
10 4
0 4 1
2 2 3
2 4 4
4 2 1
3 3 3
2 3 3
2 2 1
1 4 2
4 3 3
2 3 2
10 8
2 0 2
2 2 4
1 5 3
3 3 2
1 4 4
4 0 1
1 1 3
0 3 4
5 5 3
2 3 1
10 6
3 1 3
3 5 5
2 5 0
5 5 1
1 2 3
0 0 5
5 1 5
0 3 5
4 0 4
0 0 0
10 3
1 5 5
5 4 4
0 1 5
0 0 4
1 4 1
1 1 4
0 0 5
0 4 5
4 4 0
5 5 2
10 6
0 2 2
2 2 3
3 3 0
1 3 0
0 0 3
1 0 2
0 0 2
1 1 1
2 0 1
2 3 0
10 3
4 3 0
2 0 4
1 2 0
1 2 4
1 1 4
2 4 2
0 0 3
2 1 4
2 4 4
2 2 0
10 2
2 1 3
1 3 1
3 4 4
0 0 0
2 1 1
4 4 3
4 0 3
4 0 4
1 2 2
0 4 2
10 2
2 2 0
1 1 0
0 0 0
1 2 0
2 0 0
0 2 2
1 1 1
1 0 1
1 1 2
0 0 1
10 4
3 1 2
3 0 0
0 3 2
3 3 1
2 2 0
2 0 0
3 0 3
2 0 1
1 0 0
0 3 1
10 2
0 0 2
0 1 0
1 1 1
2 1 0
2 2 0
2 1 2
1 2 1
0 0 1
1 2 2
0 2 2
10 5
1 1 2
1 2 1
0 0 2
2 2 2
0 1 0
1 0 2
0 0 0
0 2 2
0 2 1
2 2 0
10 2
1 1 0
2 1 1
2 2 0
2 1 2
2 0 2
2 0 1
0 0 0
1 1 1
1 2 2
1 2 1
10 8
4 2 5
0 4 1
3 4 0
4 5 1
3 2 1
5 2 4
2 4 2
0 4 4
3 4 1
2 3 3
10 7
0 0 0
0 1 1
1 1 2
2 2 2
1 2 1
0 2 1
2 2 1
1 0 1
1 2 2
2 1 0
10 8
3 4 1
0 3 3
0 4 2
2 2 4
1 4 3
3 0 2
4 4 3
3 1 3
3 3 0
3 3 3
10 2
0 2 0
2 0 0
1 1 1
1 1 0
2 1 1
2 2 0
0 1 2
2 0 2
0 2 1
0 1 0
10 3
0 0 2
0 1 1
0 2 2
2 0 0
2 0 2
1 2 2
1 0 2
0 1 0
1 0 0
2 2 1
10 4
4 2 2
1 0 3
4 2 1
3 4 4
4 0 1
3 2 4
2 4 3
0 2 3
3 3 4
1 3 4
10 7
1 1 2
1 0 0
1 2 1
2 2 0
0 1 0
2 1 0
1 2 2
0 1 2
1 0 2
2 2 2
10 2
3 3 0
3 3 2
1 0 4
3 3 1
0 4 1
2 0 1
3 4 2
1 4 3
1 0 0
2 2 2
10 8
2 0 1
2 0 2
1 1 2
1 2 1
1 2 2
1 0 2
1 2 0
0 1 1
0 0 2
2 2 0
10 6
1 3 0
1 3 3
1 3 4
3 0 4
3 2 3
1 0 4
3 4 2
3 0 0
0 2 1
4 1 4
10 3
2 4 2
4 4 3
1 0 3
1 3 3
3 4 2
0 2 1
0 0 4
2 0 1
4 2 3
2 0 3
10 9
0 2 2
1 1 2
3 2 0
3 1 2
0 0 1
1 1 0
0 2 1
0 2 0
1 2 0
3 3 1
10 3
1 2 0
3 3 3
2 1 1
1 1 3
2 0 3
3 1 2
1 0 3
3 0 1
0 3 3
3 1 0
10 4
2 0 1
1 2 2
2 1 1
0 0 0
0 0 1
1 0 2
1 1 0
0 1 1
0 2 1
1 2 1
10 8
5 0 3
1 1 3
3 3 0
2 3 3
2 5 3
3 3 4
3 1 3
5 3 2
1 1 5
1 1 4
10 3
2 1 2
0 1 0
1 1 1
0 0 1
1 0 2
1 2 1
2 2 1
2 0 1
2 0 0
1 0 0
10 2
3 1 2
2 2 0
2 3 1
3 3 2
1 2 1
2 1 1
3 1 3
0 2 3
2 2 3
3 2 1
10 9
2 0 4
4 3 4
1 4 1
3 3 3
2 2 4
3 4 4
2 3 0
0 1 2
2 1 3
2 4 0
10 5
1 1 1
0 1 0
3 4 1
4 0 3
3 3 2
1 3 2
0 4 2
1 2 0
2 0 2
4 1 1
10 6
3 5 4
5 0 2
5 1 5
0 2 2
1 3 1
1 2 5
5 1 2
4 4 0
0 0 4
1 3 0
10 3
0 2 4
2 5 2
5 5 1
4 1 0
4 1 1
3 1 4
0 3 2
4 2 3
3 0 3
0 2 3
10 8
1 1 3
2 0 1
1 2 3
0 1 2
3 1 0
2 2 0
0 2 2
0 0 1
3 0 1
0 3 3
10 4
3 0 3
2 0 0
3 0 2
0 1 1
1 2 1
3 2 3
2 3 0
1 2 0
0 2 2
3 2 2
10 9
1 4 0
0 3 2
1 2 3
0 1 3
1 1 0
4 0 2
1 3 4
4 3 2
3 4 0
4 0 1
10 5
3 2 2
1 4 1
0 0 2
2 2 0
2 2 4
3 3 2
0 0 4
1 2 4
2 4 2
1 2 3
10 8
2 0 0
3 1 2
2 3 1
2 0 2
0 2 1
0 2 0
3 3 2
1 1 0
3 2 1
3 2 0
10 8
3 1 3
2 0 5
0 4 3
3 1 0
0 2 1
1 4 1
0 2 2
4 1 4
1 5 4
4 0 3
10 6
1 1 2
1 2 1
0 1 2
1 2 0
1 0 1
2 1 2
0 2 2
0 0 2
1 0 0
1 1 1
10 4
3 2 0
2 4 2
3 1 4
2 0 0
0 1 1
0 4 2
4 1 2
0 2 2
3 4 4
0 0 0
10 6
1 2 1
2 2 0
1 1 1
0 1 1
1 0 1
1 1 2
2 1 0
0 1 0
1 2 2
0 1 2
10 9
1 1 1
1 3 0
0 0 3
3 3 0
3 1 0
2 2 1
3 0 2
3 3 3
2 3 1
0 2 0
10 5
1 2 2
2 0 1
2 2 1
2 0 0
1 1 1
2 1 2
0 2 1
1 1 0
2 2 2
0 1 1
10 5
3 3 0
3 1 0
1 3 1
1 0 0
1 0 2
0 1 2
1 2 1
2 0 0
2 2 1
2 0 2
10 4
3 1 2
0 3 2
2 1 1
3 1 0
3 2 3
0 2 2
2 3 1
1 0 3
2 2 1
2 1 2
10 8
1 1 0
0 1 0
1 2 0
0 0 0
1 2 2
0 0 2
0 1 1
0 1 2
2 0 1
1 1 1
10 7
1 3 2
1 1 3
1 1 2
2 2 3
3 2 3
0 3 2
1 2 0
1 3 3
0 1 3
0 3 3
10 2
0 3 0
2 1 3
1 0 2
2 1 0
2 0 1
0 1 1
2 0 3
0 3 1
3 1 3
3 0 0
10 6
1 1 0
0 1 2
0 1 0
1 1 1
1 0 2
1 0 0
1 0 1
0 0 1
2 1 0
0 2 2
10 7
3 0 0
2 1 3
0 2 2
3 1 3
0 1 1
1 3 1
2 3 2
2 1 1
0 3 1
3 3 0
10 2
1 3 2
1 1 0
0 0 2
0 1 1
3 1 2
3 1 3
2 3 1
3 2 0
0 3 2
3 0 2
10 5
2 3 1
1 0 3
1 2 2
1 1 0
2 3 0
3 3 1
3 1 3
0 3 0
1 3 3
1 1 2
10 5
1 0 1
0 1 1
1 1 2
1 1 1
0 1 2
0 2 0
2 0 2
1 2 2
0 1 0
1 1 0
10 4
2 3 3
1 2 1
0 3 1
2 1 2
2 2 1
0 2 2
2 2 0
1 0 3
0 1 1
2 3 2
10 7
2 1 2
2 2 1
0 0 2
1 1 1
1 2 1
1 2 2
0 0 0
1 0 2
1 1 2
2 0 2
10 8
1 1 0
2 2 0
1 3 3
0 0 2
1 3 2
3 0 2
2 3 2
3 1 0
3 0 3
1 3 0
10 6
1 4 4
0 5 2
5 1 2
3 1 5
0 5 1
2 3 3
2 4 1
3 0 3
5 4 5
0 3 2
10 3
3 0 1
1 3 0
1 2 3
2 3 2
2 2 2
3 1 2
0 0 3
2 0 0
3 2 1
0 0 0
10 9
2 3 3
0 0 1
0 0 4
4 0 5
3 2 3
2 0 1
4 1 0
1 5 4
3 3 3
0 5 4
10 5
1 2 3
0 5 3
1 1 4
4 3 4
1 0 5
1 5 5
0 4 5
2 3 2
2 0 3
5 1 5
10 3
1 3 1
2 2 3
1 0 1
3 3 1
1 3 3
1 0 3
1 0 2
0 1 0
3 3 2
2 0 2
10 3
0 0 0
0 1 0
0 2 1
3 1 1
0 3 3
2 0 3
3 3 3
3 1 3
1 3 1
2 1 2
10 4
0 3 1
0 4 3
2 3 2
4 3 0
0 1 2
3 1 2
3 4 4
1 0 3
4 2 4
0 3 3
10 7
1 2 1
1 2 2
2 0 2
2 2 1
0 2 1
2 0 0
2 1 2
1 0 1
2 1 1
1 1 1
10 8
2 0 4
2 4 0
2 0 1
2 5 2
3 0 1
3 2 4
2 2 3
2 4 2
5 4 5
5 1 3
10 3
1 0 3
0 5 5
0 3 5
5 0 2
0 0 1
5 5 3
2 5 0
3 3 1
0 0 3
5 3 3
10 3
1 1 2
0 1 0
0 1 2
1 2 0
1 0 0
0 2 1
2 0 2
1 1 0
2 0 0
0 2 2
10 5
2 2 1
1 2 0
3 3 0
2 3 0
2 0 2
3 1 3
1 1 1
3 0 1
0 3 3
0 3 1
10 5
3 0 1
1 3 2
1 0 3
2 3 0
3 3 1
3 3 0
2 1 1
2 2 3
2 0 2
1 2 2
10 4
0 0 5
4 0 1
3 2 1
2 4 1
1 4 5
0 4 0
0 4 2
0 3 3
5 3 3
0 5 2
10 9
0 2 2
2 3 3
2 1 3
2 2 0
1 0 2
2 3 1
0 1 2
2 2 3
3 0 1
1 3 2
10 2
0 2 0
3 0 1
4 0 1
1 3 3
4 1 3
1 2 4
4 0 2
2 4 0
4 3 2
2 1 1
10 9
3 2 3
2 4 4
5 5 3
2 3 2
0 2 2
1 0 5
4 3 4
3 4 0
1 5 3
3 5 5
10 6
1 2 2
1 1 2
2 2 0
1 0 0
0 0 0
2 0 2
1 1 0
1 0 2
1 2 1
0 1 0
10 4
1 2 2
3 0 3
0 3 3
2 0 3
1 3 1
1 1 3
2 1 0
0 1 3
1 3 3
0 2 0
10 3
1 3 4
3 2 0
0 3 2
2 1 1
0 0 4
1 4 0
3 0 0
1 4 2
2 3 2
4 1 3
10 2
0 1 2
2 0 1
0 0 1
1 2 2
1 1 2
1 0 0
0 1 0
0 1 1
2 1 1
1 1 1
10 7
0 3 2
1 3 0
1 0 1
1 1 0
0 0 2
2 3 1
2 2 3
1 2 1
2 3 0
3 0 3
10 3
2 1 2
1 2 0
4 2 2
4 1 0
3 0 4
2 0 0
0 0 1
0 4 4
2 2 0
4 0 0
10 6
2 4 3
1 2 4
0 4 1
0 3 4
1 1 3
2 3 3
3 0 2
2 0 3
2 3 1
4 3 1
10 5
3 3 0
2 0 0
0 1 3
3 0 1
2 1 1
1 3 2
1 0 1
1 3 1
0 2 0
2 3 1
10 5
2 3 2
0 1 2
2 0 0
3 2 3
1 1 0
0 1 3
0 0 4
1 0 1
3 3 4
0 3 2
10 9
1 2 1
2 1 0
1 0 1
1 2 2
2 0 2
2 0 1
0 0 0
1 2 0
0 2 2
1 1 1
10 4
3 3 3
1 3 2
1 0 2
1 0 1
3 0 1
3 3 2
0 1 0
2 3 0
0 2 3
2 0 3
10 3
0 2 3
2 1 0
3 0 1
2 0 3
2 2 1
1 1 1
2 2 0
3 2 3
1 2 0
2 3 1
10 9
0 1 1
2 2 2
1 0 2
0 1 2
0 1 0
1 1 1
0 0 0
1 0 0
2 1 0
2 2 0
10 7
0 1 1
1 0 1
1 1 1
0 1 2
1 2 0
0 0 0
1 1 0
2 0 0
2 0 1
2 1 1
10 6
3 0 2
1 3 2
1 0 2
1 1 0
0 3 0
1 1 2
0 0 2
3 0 1
2 0 2
1 3 0
10 7
0 1 1
0 3 3
3 1 3
1 3 1
0 2 2
0 1 3
2 2 3
3 1 2
2 2 0
1 0 2
10 6
1 0 1
0 2 0
0 2 2
1 2 2
0 1 2
0 0 0
1 2 0
2 0 2
1 1 2
0 1 1
10 2
4 1 1
2 3 2
1 0 1
4 4 2
0 4 0
0 1 4
0 2 4
3 0 3
0 4 3
0 4 1
10 2
3 2 3
3 2 1
0 2 0
1 3 3
0 1 2
1 2 2
2 1 0
1 0 3
2 2 3
1 1 2
10 8
1 4 3
2 2 0
2 3 2
3 2 1
4 4 2
3 2 4
2 4 0
1 0 3
4 2 0
1 0 0
10 4
1 0 5
3 2 2
2 2 5
4 3 2
0 1 2
5 1 2
4 4 4
5 0 0
1 0 4
5 3 2
10 2
1 3 3
2 2 0
2 1 1
0 3 0
3 1 3
2 1 2
1 2 1
2 0 1
2 2 3
2 3 3
10 5
0 2 1
3 3 2
3 1 1
2 1 3
2 2 3
3 1 2
3 1 0
2 3 2
0 3 3
0 2 0
10 5
3 1 2
0 4 1
2 3 0
3 0 3
3 3 2
4 3 3
4 0 4
2 0 1
2 2 4
4 3 2
10 7
0 2 3
2 1 2
3 1 2
0 3 0
0 1 0
0 3 2
0 2 1
1 3 1
3 3 1
2 3 0
10 9
2 2 1
0 0 1
2 0 1
2 1 3
1 0 1
1 2 3
4 1 3
2 2 3
2 0 2
2 1 4
10 6
4 4 4
5 0 4
0 2 4
1 4 0
3 5 0
2 5 4
2 4 1
2 4 5
4 4 5
3 2 4
10 6
0 1 0
0 2 1
1 2 0
2 1 2
1 1 1
2 0 0
2 2 0
2 0 2
0 0 0
1 1 2
10 7
3 1 0
3 0 3
0 3 1
1 0 3
1 1 3
3 2 1
3 2 0
0 2 3
0 1 0
0 2 1
10 6
1 4 1
1 3 4
4 2 2
2 4 4
3 0 4
1 3 0
1 4 3
1 4 4
0 2 0
2 3 4
10 2
0 1 2
1 2 1
3 3 0
3 1 2
2 3 3
3 2 3
3 0 0
1 3 1
3 0 3
1 3 2
10 3
1 2 1
2 2 0
2 0 2
0 0 0
2 1 2
2 1 1
1 0 2
1 1 2
1 2 0
1 1 0
10 5
2 2 1
1 0 0
2 1 2
1 1 1
2 0 2
1 2 2
0 0 0
0 2 1
0 2 2
0 0 2
10 8
0 2 0
1 1 2
0 1 1
0 0 2
0 0 0
2 1 1
1 0 0
2 2 2
1 2 2
1 1 0
10 4
1 1 4
1 0 0
2 3 3
3 2 0
3 2 1
0 4 4
4 0 1
2 4 4
4 2 1
4 2 3
10 2
1 1 2
1 2 2
2 2 1
0 2 1
0 0 2
0 1 0
1 1 1
2 1 1
1 0 0
2 1 0
10 8
3 3 3
2 4 2
2 1 2
3 0 1
2 4 4
4 4 4
4 1 2
3 4 3
3 1 1
4 4 1
10 2
3 5 4
4 1 2
0 2 3
2 2 2
2 0 1
2 4 3
3 1 1
1 3 0
5 5 0
4 0 5
10 5
4 1 1
3 3 4
4 4 1
1 2 2
4 1 0
0 4 4
3 2 0
1 3 0
3 0 4
3 2 4
10 7
0 1 0
1 2 2
0 0 1
0 0 2
0 0 0
2 1 0
2 2 1
0 2 2
2 1 1
1 0 0
10 4
1 2 0
2 1 2
0 1 1
1 1 1
0 2 0
2 1 0
1 1 0
2 2 0
2 1 1
0 1 2
10 2
0 4 4
1 4 2
1 2 1
0 1 1
0 2 2
0 1 4
0 0 4
1 1 4
3 4 2
2 2 3
10 4
1 3 3
3 3 5
2 3 2
0 2 2
4 1 5
4 5 5
4 4 0
1 0 3
2 3 3
3 5 3
10 4
1 1 2
1 2 0
2 1 1
0 2 1
2 1 2
1 2 2
0 2 2
1 0 0
1 0 2
2 2 2
10 3
1 0 0
2 2 2
0 1 2
0 0 1
2 1 1
2 1 2
2 0 0
0 2 1
0 1 0
2 1 0
10 4
4 1 5
0 4 3
2 1 0
4 0 1
3 2 5
0 3 1
3 5 4
5 2 4
1 3 2
3 0 3
10 5
0 4 3
5 3 4
0 0 5
0 2 3
3 0 0
3 0 1
3 2 0
2 5 1
1 0 2
3 2 4
10 5
1 5 5
1 5 1
5 4 4
5 3 3
1 2 1
0 0 0
0 0 4
0 4 1
3 4 3
5 5 1
10 4
0 1 0
1 1 0
0 0 0
0 2 1
1 2 2
0 1 2
1 1 2
0 1 1
1 1 1
2 0 0
10 5
1 1 5
5 4 0
0 2 1
3 4 5
1 3 4
4 2 0
0 0 4
4 5 2
1 1 1
3 1 4
10 7
1 0 2
2 2 0
1 0 1
2 0 1
0 2 1
0 0 1
2 1 1
1 2 2
2 1 2
1 2 1
10 9
3 0 0
4 4 0
2 2 0
1 0 0
0 0 3
3 1 0
3 0 4
0 2 0
4 0 0
4 3 4
10 8
3 2 0
1 1 3
3 1 1
1 0 1
1 1 1
1 2 1
0 3 0
1 0 3
2 1 3
2 2 0
10 3
1 2 3
3 1 3
2 3 0
0 1 2
1 2 0
0 1 1
2 0 3
3 3 1
0 3 2
3 0 1
10 2
1 0 1
0 0 1
1 0 2
2 1 0
0 2 1
1 1 2
2 2 1
0 0 0
1 2 0
2 1 1
10 7
1 3 2
1 3 1
0 0 2
3 0 3
1 0 2
2 2 3
3 2 0
3 1 0
0 1 0
2 0 0
10 4
2 0 3
2 0 2
1 3 3
1 1 1
3 1 0
2 1 0
0 3 1
2 3 2
1 3 1
2 3 1
10 9
2 0 1
1 1 2
0 0 0
1 2 2
1 0 0
1 0 2
2 1 2
0 1 1
0 2 1
2 2 0
10 6
5 3 2
4 2 4
0 1 3
1 1 2
2 3 1
0 1 1
0 5 1
4 4 2
3 3 3
0 0 0
10 3
0 1 0
1 1 2
0 2 0
2 2 0
2 1 1
0 0 2
2 0 2
0 1 1
1 0 0
2 2 2
10 4
0 2 2
0 0 1
2 0 2
1 1 1
0 0 0
1 2 2
1 0 1
2 2 1
0 2 0
2 2 2
10 4
1 0 1
1 1 1
0 1 0
0 2 1
1 2 2
0 0 1
2 2 1
2 0 1
1 1 0
0 1 1
10 2
2 1 1
2 2 2
2 1 0
1 0 0
1 1 2
2 0 1
1 2 1
0 1 2
0 1 1
1 2 0
10 8
2 2 1
2 2 2
0 2 0
2 1 0
1 1 1
0 2 1
2 0 1
1 1 0
0 0 2
2 0 0
10 6
1 3 2
0 4 1
3 4 0
4 4 0
1 3 0
1 4 0
4 2 3
2 1 3
0 0 1
2 3 2
10 6
1 1 0
3 3 0
1 1 4
5 0 4
4 0 1
2 1 4
3 0 2
2 1 2
3 4 3
3 4 2
10 9
1 4 0
3 2 2
3 3 0
0 1 1
5 1 4
4 5 0
5 3 3
5 4 3
0 5 3
1 0 5
10 7
2 2 2
0 1 2
1 0 2
2 1 2
0 2 2
2 0 2
1 2 1
0 0 0
0 2 0
1 2 0
10 3
2 1 3
1 3 0
2 0 1
3 1 2
3 2 0
2 1 1
0 2 2
1 2 0
2 3 2
0 0 2
10 7
2 1 0
1 3 2
1 1 0
0 1 2
0 1 0
1 0 1
3 1 0
3 3 3
1 3 0
0 2 3
10 5
2 1 1
0 0 0
0 1 1
1 0 0
2 1 2
0 3 2
3 0 3
3 2 1
1 3 0
3 1 2
10 6
0 2 3
0 2 0
1 0 3
1 3 3
0 2 2
0 1 1
0 1 2
1 0 0
1 3 2
2 0 3
10 3
3 3 0
2 0 3
0 0 0
2 0 1
3 2 1
2 3 1
3 3 2
0 3 1
1 0 1
2 3 0
10 5
1 0 3
1 2 5
1 4 2
4 2 1
3 3 2
5 3 2
2 3 5
4 0 4
0 5 3
2 4 0
10 8
3 3 2
5 2 4
4 2 0
3 4 3
0 3 3
0 5 5
3 2 1
1 3 1
1 5 2
4 1 0
10 5
2 0 1
0 2 2
2 2 0
2 0 2
2 2 2
0 2 0
1 2 0
1 1 2
1 0 2
0 1 0
10 7
2 2 1
1 2 1
1 1 0
2 2 0
2 0 0
0 2 1
0 1 2
0 0 1
0 0 0
0 1 1
10 3
1 2 1
0 2 1
0 1 0
1 2 0
2 0 1
2 2 1
0 1 1
1 0 1
0 1 2
2 1 2
10 7
3 2 4
3 1 1
3 3 3
4 1 4
0 0 1
3 4 4
2 2 0
1 3 3
2 3 2
3 2 3
10 9
1 2 1
2 1 0
1 0 2
2 2 2
1 0 1
0 2 2
1 0 0
0 0 1
0 0 0
2 1 1
10 3
1 0 1
0 2 1
2 2 2
1 2 2
0 0 2
1 1 0
2 0 1
1 1 1
0 1 1
0 2 2
10 6
3 3 0
2 1 2
3 2 1
0 1 3
2 0 0
1 2 3
3 0 0
1 0 2
2 3 4
2 2 4
10 2
3 4 1
0 1 4
2 5 3
3 4 2
5 0 0
3 2 5
5 0 2
5 1 1
0 5 0
2 4 5
10 4
1 5 2
4 1 3
1 3 4
3 3 2
2 5 0
4 2 0
0 0 1
1 5 3
1 1 2
1 0 1
10 2
1 1 2
0 2 0
1 2 2
2 0 1
2 2 2
2 0 0
0 2 1
2 2 0
1 2 0
1 0 1
10 9
1 4 0
3 3 0
2 0 2
0 2 4
4 4 2
4 3 0
4 4 3
4 3 3
0 3 1
2 2 3
10 4
4 4 4
4 1 4
4 2 2
4 1 2
1 3 1
4 2 4
0 2 2
3 2 4
0 2 0
2 4 3
10 3
1 4 3
1 3 1
1 5 5
3 0 0
3 0 1
3 4 4
2 0 4
5 2 2
0 3 0
3 5 3
10 4
0 0 1
1 0 0
0 2 0
2 2 2
1 1 1
2 1 0
1 2 2
2 1 2
2 2 1
2 1 1
10 6
4 4 1
4 0 0
4 3 3
2 0 3
5 0 5
5 1 2
2 1 1
2 0 1
3 4 1
0 0 0
10 6
3 5 1
0 0 2
4 5 1
1 3 0
5 5 5
4 4 5
3 0 2
3 5 2
0 4 0
1 2 3
10 5
2 3 3
1 3 0
4 4 3
2 2 1
2 0 3
2 3 0
1 2 4
3 3 0
2 2 0
3 3 2
10 4
4 0 4
0 4 3
3 4 2
1 1 2
2 0 2
4 1 1
0 2 1
0 4 2
2 2 3
1 4 2
10 9
2 4 0
0 5 1
4 1 4
2 4 5
5 3 4
4 0 3
4 3 3
5 3 3
1 1 3
5 4 1
10 5
0 0 3
0 2 2
0 1 3
1 0 3
1 2 1
0 3 2
3 0 1
3 3 1
3 1 0
1 0 1
10 2
3 0 0
0 1 1
0 4 1
3 2 2
1 1 0
2 0 3
3 2 3
1 1 1
0 4 0
1 4 4
10 7
5 4 2
2 3 4
2 3 2
0 1 1
2 5 3
4 0 2
5 4 3
5 5 0
0 2 1
5 3 3
10 2
2 0 0
1 0 1
1 0 0
0 2 2
1 2 2
1 1 1
2 1 2
2 1 0
2 2 0
1 0 2
10 6
3 0 3
3 0 2
2 0 1
0 4 3
2 0 4
2 3 0
1 3 2
4 2 3
1 3 0
1 4 4
10 4
0 3 0
0 2 0
3 2 0
2 3 1
1 1 3
0 2 2
0 0 1
1 1 0
2 3 3
0 2 1
10 5
2 5 1
5 1 4
0 5 0
0 3 0
3 4 0
2 1 0
5 2 4
0 1 5
2 5 3
2 1 3
10 3
2 1 0
2 1 2
2 2 0
1 1 1
0 0 1
2 1 1
1 0 1
1 2 2
0 2 1
0 1 0
10 5
1 2 2
1 1 0
1 0 1
2 0 2
2 2 2
0 1 1
0 2 0
2 1 2
0 0 0
1 2 1
10 4
0 1 2
2 0 0
0 2 2
2 2 2
2 1 1
1 0 2
0 1 1
2 1 2
1 2 0
0 2 1
10 9
0 0 2
2 2 2
0 0 0
2 1 0
0 1 0
2 1 2
1 0 0
2 2 0
2 0 2
2 2 1
10 7
4 0 1
3 2 0
2 0 4
2 2 1
1 2 1
2 0 3
0 2 4
1 0 0
0 2 1
1 1 4
10 2
4 3 1
1 1 1
4 4 4
1 1 2
2 2 4
0 2 4
2 0 2
1 3 2
3 0 1
3 4 2
10 5
1 1 2
0 2 2
2 0 0
2 0 1
2 1 0
1 2 0
2 1 2
0 2 0
2 2 1
0 1 1
10 2
4 1 3
0 3 0
3 5 0
3 2 2
3 2 0
2 2 0
3 5 2
3 1 5
1 2 3
0 0 0
10 3
0 1 3
3 3 1
1 0 1
2 4 1
4 2 3
1 1 0
1 1 2
2 4 3
1 4 4
0 2 4
10 3
2 1 1
1 1 0
3 2 3
3 1 2
0 4 0
0 0 0
4 3 2
4 0 2
2 3 1
0 2 0
10 5
1 0 1
2 2 0
1 1 2
1 0 2
0 1 1
0 1 0
2 1 0
2 0 2
1 1 1
2 2 2
10 9
2 0 1
0 2 2
1 2 2
2 0 2
1 1 2
1 0 2
0 0 0
0 1 1
2 2 0
1 0 0
10 5
2 2 2
1 2 2
3 3 2
1 1 2
2 1 1
2 1 2
3 0 2
1 1 1
0 0 2
0 2 3
10 4
1 2 2
1 1 1
0 0 2
0 0 1
0 2 2
2 2 0
0 1 2
0 2 0
2 1 1
2 0 0
10 6
0 0 3
2 3 1
2 2 0
2 2 3
3 1 1
0 0 1
0 1 2
3 3 3
2 1 2
2 1 0
10 2
2 3 0
2 3 2
2 2 1
1 0 0
2 1 0
2 1 3
2 3 1
2 0 2
0 3 3
1 3 3
10 5
0 0 4
3 0 1
0 3 3
0 5 5
4 2 1
5 3 5
5 1 0
5 1 5
0 2 1
4 4 3
10 3
4 4 4
0 1 3
0 2 4
2 4 4
4 3 1
0 2 3
4 3 2
0 0 3
0 3 4
1 3 3
10 9
0 3 2
0 3 1
2 0 1
2 3 3
0 1 1
0 1 0
0 3 3
3 0 1
3 2 2
2 1 1
10 8
1 0 3
3 1 3
2 2 0
3 2 3
1 1 0
0 3 0
1 3 0
3 3 1
2 0 2
2 3 1
10 6
1 0 1
2 2 1
0 1 2
0 1 1
1 2 0
0 2 1
2 1 1
2 1 2
0 0 0
2 1 0
10 3
3 2 0
2 5 2
0 3 4
5 5 0
1 1 3
1 2 3
2 1 5
4 0 3
2 0 3
0 0 4
10 2
0 0 0
0 0 2
3 1 0
0 3 2
3 1 2
0 1 3
3 1 3
1 0 3
2 0 3
0 2 1
10 2
2 3 1
0 2 3
3 0 0
0 0 3
3 2 0
3 1 2
1 3 0
0 1 1
1 0 0
0 3 2
10 4
2 1 2
0 3 1
1 2 0
1 3 1
1 3 2
0 0 3
1 1 2
1 1 0
2 2 3
2 1 0
10 7
1 1 0
1 2 0
1 1 2
1 2 2
0 2 1
2 2 0
2 1 1
0 1 2
0 0 1
1 0 1
10 8
3 2 1
1 0 0
2 0 5
3 3 1
4 4 3
3 4 5
3 4 2
3 0 4
0 4 5
0 4 2
10 9
3 1 5
2 5 2
4 4 5
0 4 4
5 0 1
2 2 4
1 0 3
3 3 5
2 5 1
5 5 3
10 5
1 4 1
2 4 0
4 2 1
0 1 3
1 4 2
2 1 3
4 4 4
4 0 1
1 2 3
3 4 2
10 3
2 5 1
2 2 3
1 5 2
4 4 1
1 2 4
0 2 2
3 1 0
4 1 1
3 3 5
3 2 3
10 5
4 3 1
1 3 1
3 1 1
0 0 4
1 4 4
4 1 3
0 4 3
1 4 3
1 2 4
0 4 2
10 3
0 2 2
0 2 1
1 2 0
2 0 2
2 1 0
1 2 1
0 1 1
1 1 2
0 1 2
2 1 1
10 2
0 1 0
0 1 1
1 2 1
1 0 0
0 0 2
2 2 1
0 2 2
0 2 0
0 0 1
2 1 2
10 6
3 0 1
2 2 2
0 3 1
2 3 3
1 3 0
0 3 3
3 3 2
3 2 2
1 3 3
1 1 1
10 7
0 1 2
0 2 2
0 2 0
2 1 0
1 1 1
1 2 0
1 0 2
1 2 2
2 2 1
0 1 0
10 9
2 5 3
2 4 0
5 5 4
1 1 5
5 3 0
3 3 4
2 3 5
4 3 3
1 4 0
5 4 5
10 8
4 3 2
2 1 2
1 0 1
1 5 1
4 0 3
5 5 2
2 3 5
4 3 1
1 5 4
3 1 1
10 4
2 4 1
4 0 4
2 1 0
3 2 2
3 3 1
2 0 2
1 2 0
1 0 3
4 1 4
3 3 3
10 9
2 0 0
2 1 2
1 3 0
2 3 2
1 1 1
2 0 3
0 0 2
3 0 1
3 0 0
0 0 1
10 5
0 2 0
0 0 0
4 3 2
2 3 2
4 3 0
1 2 1
0 2 3
2 2 1
4 0 0
1 1 1
10 4
0 1 0
0 0 0
1 1 0
2 0 2
2 1 2
1 0 0
0 1 1
0 2 2
2 2 1
0 2 0
10 8
1 1 5
5 2 0
0 2 1
3 0 1
5 0 2
2 3 4
0 2 2
0 0 2
5 1 3
2 4 0
10 9
2 1 1
1 2 1
3 3 3
0 3 1
2 3 0
0 1 2
1 1 0
3 3 1
3 3 2
1 0 3
10 8
2 2 4
2 4 4
1 1 4
2 2 2
1 0 4
0 3 2
0 0 4
1 0 3
2 1 3
2 0 2
10 2
1 1 1
2 3 0
2 3 1
2 2 2
0 1 0
0 1 2
3 3 3
1 2 2
2 3 3
3 1 0
10 5
1 3 2
0 3 1
1 3 0
2 1 2
0 1 3
3 0 3
2 0 1
2 3 0
0 2 1
3 1 2
10 5
0 1 0
1 2 0
0 1 1
0 2 0
2 0 1
2 2 0
2 1 1
0 2 1
1 2 1
1 0 0
10 8
0 4 1
2 5 5
5 2 4
2 1 1
4 5 3
3 2 2
5 0 0
1 3 0
0 1 0
4 3 4
10 9
2 4 0
0 0 2
0 1 3
2 4 2
0 3 3
4 2 1
1 1 4
2 0 0
2 1 0
2 0 1
10 9
1 1 3
0 4 4
0 3 0
3 4 2
0 3 3
4 3 3
2 0 3
1 2 0
3 0 1
4 1 4
10 2
4 3 3
4 2 4
4 2 0
0 4 1
4 0 1
3 2 1
3 1 4
0 4 3
4 4 1
2 0 2
10 5
4 1 1
4 1 3
1 2 4
1 0 2
5 2 3
2 1 5
3 2 3
2 3 2
3 5 2
2 2 3
10 3
0 1 1
0 2 0
0 1 0
2 2 1
2 1 1
1 2 2
1 2 0
0 2 2
1 0 2
2 1 0
10 2
0 0 2
1 0 0
2 0 2
1 3 1
0 1 3
0 3 1
1 2 0
3 0 2
1 0 3
1 3 2
10 4
1 2 2
1 1 0
2 0 1
0 2 2
0 0 0
1 0 1
2 2 2
2 1 2
0 1 1
1 1 1
10 7
2 5 2
1 3 5
3 3 0
4 2 4
0 3 0
4 5 1
5 0 3
3 1 0
3 5 0
3 0 4
10 3
3 1 1
0 0 4
2 0 0
2 2 3
2 1 2
1 1 4
1 0 0
4 0 0
1 3 1
4 3 0
10 2
2 0 3
2 1 0
1 1 2
2 1 3
3 2 0
0 3 3
0 2 0
1 3 0
0 0 3
0 1 3
10 4
0 1 1
0 0 0
2 2 2
2 1 2
0 0 2
1 0 0
1 1 2
2 0 2
2 2 1
0 0 1
10 2
2 1 2
0 1 2
1 1 1
2 0 1
0 0 0
1 0 1
1 2 2
0 0 1
1 1 0
0 2 0
10 4
2 0 2
2 1 1
1 2 0
2 1 0
1 1 2
0 1 2
2 1 2
0 2 1
1 0 2
0 2 2
10 6
3 5 0
0 2 5
4 4 4
3 1 5
1 5 1
2 4 0
0 1 0
4 3 3
2 2 5
4 3 4
10 9
0 0 2
1 0 2
0 2 1
1 2 0
0 2 0
0 1 0
0 0 1
2 1 1
0 0 0
0 1 1
10 6
0 2 1
1 0 2
2 0 0
2 2 1
0 1 0
0 2 2
0 0 1
2 2 0
1 2 0
2 0 1
10 2
0 0 1
0 0 0
2 3 1
3 3 2
2 1 0
3 0 1
2 2 3
2 0 3
1 1 3
1 0 2
10 8
0 1 5
2 4 2
1 0 0
3 3 5
3 3 0
0 1 4
0 3 2
0 3 5
3 3 1
4 1 3
10 5
3 1 1
3 3 3
2 2 0
2 0 3
1 1 3
2 3 1
2 1 3
0 2 1
0 0 1
1 2 2
10 4
0 1 2
1 2 0
0 0 0
1 0 0
1 1 1
0 1 1
2 2 2
1 2 2
1 1 2
2 2 0
10 5
1 1 2
1 1 0
2 0 0
2 1 1
2 2 0
0 2 1
1 0 0
0 0 2
1 1 1
0 1 1
10 7
1 0 0
0 1 2
0 0 0
1 2 0
2 2 0
0 2 0
1 1 1
0 2 2
2 0 0
0 1 0
10 3
3 3 0
1 0 3
0 2 2
1 0 2
1 1 3
1 3 3
2 2 3
3 3 3
2 1 2
2 0 0
10 5
2 0 1
0 1 1
1 2 1
0 0 2
2 2 1
2 0 0
0 0 0
1 2 2
1 0 2
1 1 2
10 2
4 2 4
0 1 3
4 5 2
3 5 2
1 0 5
1 0 2
3 2 1
2 5 2
1 1 3
4 4 1
10 9
2 1 1
2 1 2
2 2 0
0 1 1
1 2 0
2 1 0
1 0 0
2 0 0
0 1 0
2 0 2
10 3
4 1 3
2 0 1
2 3 4
4 0 3
4 4 2
2 0 2
2 3 1
1 4 3
1 2 2
3 0 1
10 2
0 1 0
2 1 1
3 3 0
3 3 2
2 3 3
1 0 2
2 0 2
0 3 0
1 1 2
3 0 3
10 2
0 5 1
2 4 2
2 0 3
3 3 0
0 2 3
4 3 5
4 0 2
4 5 5
0 2 5
5 5 4
10 7
0 0 0
1 0 4
2 4 0
3 4 5
3 5 0
2 5 1
0 1 4
4 0 1
3 2 1
5 2 1
10 3
3 4 0
0 0 2
0 2 4
2 2 1
2 3 4
1 4 5
5 2 1
2 2 3
4 2 2
3 1 5
10 4
0 2 1
1 2 1
1 0 1
2 2 0
2 1 1
1 2 0
1 1 0
0 0 1
2 1 2
2 0 2
10 6
2 1 2
2 0 1
1 3 0
0 1 2
2 1 3
3 2 3
3 2 1
1 2 2
1 1 2
2 3 1
10 4
2 1 3
4 1 0
1 1 0
1 2 2
0 4 2
2 0 4
0 2 0
3 2 4
2 3 3
2 3 2
10 8
4 5 5
3 2 4
5 2 1
1 2 5
4 0 1
1 2 2
3 5 5
2 4 0
2 2 4
5 1 0
10 8
0 0 0
2 2 2
3 3 2
0 1 1
0 2 1
2 3 3
0 3 0
1 1 1
1 0 2
2 2 1
10 6
1 0 2
2 0 2
0 0 1
0 2 1
0 1 2
1 2 1
0 2 0
1 1 1
2 2 2
0 2 2
10 4
1 0 1
2 3 0
0 2 0
2 2 1
0 2 2
0 0 3
0 2 3
2 3 1
3 1 1
3 1 0
10 4
1 0 0
3 0 1
1 0 3
1 2 0
3 3 0
1 2 1
2 1 0
3 2 0
0 1 2
2 0 0
10 6
0 0 0
3 3 0
1 1 1
1 2 1
3 1 2
0 3 2
3 2 2
2 0 1
1 1 0
0 1 0
10 3
0 3 2
3 4 3
3 0 3
3 4 0
2 1 0
0 0 1
1 1 1
0 3 4
1 4 1
2 0 2
10 9
2 0 0
3 3 3
0 2 2
2 3 2
1 0 0
1 2 2
3 1 3
0 0 0
1 3 0
3 1 2
10 6
3 0 2
2 1 5
1 1 2
1 4 4
2 0 0
1 0 1
5 4 1
1 3 4
3 5 3
0 2 2
10 4
2 0 1
0 1 4
2 2 0
1 2 1
3 0 2
4 1 2
2 2 1
4 1 4
4 2 1
2 2 2
10 8
0 1 0
0 5 4
2 3 2
3 4 3
3 0 1
3 2 4
0 5 3
2 4 2
3 0 3
5 4 0
10 8
1 2 1
0 2 2
2 1 2
2 0 2
2 0 1
1 0 2
2 0 0
1 0 1
1 2 2
1 0 0
10 6
0 0 2
0 1 0
3 0 3
3 1 0
1 0 3
0 3 1
0 0 1
3 3 3
2 0 0
3 2 0
10 6
1 1 4
0 0 0
3 4 1
1 4 4
2 4 4
4 4 0
0 2 2
4 0 0
3 1 0
3 1 4
10 7
2 1 1
0 1 1
0 0 2
0 0 1
2 0 1
1 2 1
0 1 0
0 2 1
0 2 0
2 2 1
10 2
1 2 2
0 0 0
0 2 1
1 0 2
0 2 0
1 1 1
2 1 1
0 0 1
0 1 0
0 1 2
10 5
2 0 1
0 0 1
1 2 2
1 1 2
1 0 0
0 1 1
0 1 2
1 1 1
2 2 2
2 0 2
10 6
2 2 1
2 0 3
1 0 1
1 3 2
2 3 0
0 2 3
3 3 1
3 0 0
2 2 0
0 3 3
10 7
4 2 3
4 3 4
3 3 1
3 1 1
1 2 0
3 0 4
2 2 4
1 0 4
4 4 0
2 0 2
10 4
0 0 0
2 0 2
2 2 0
0 1 2
2 1 1
1 1 0
2 1 0
2 2 1
1 2 2
0 1 0
10 3
1 4 3
2 1 0
3 2 4
3 4 3
4 4 3
3 0 4
4 1 0
0 3 2
0 1 0
4 2 4
10 4
2 2 1
1 2 1
2 1 2
2 1 1
0 2 0
1 0 1
2 0 2
0 1 1
0 1 0
2 0 0
10 8
4 1 1
4 1 2
3 1 2
0 0 1
1 4 0
4 4 1
4 3 1
0 1 3
1 3 2
2 2 3
10 3
3 0 0
0 0 3
0 1 3
2 0 1
1 3 3
0 0 2
1 0 1
3 3 3
3 1 1
1 1 0
10 4
4 1 3
3 3 1
2 4 2
0 1 2
4 1 4
4 3 4
0 4 4
1 3 3
3 1 3
4 1 1
10 8
2 0 1
2 1 2
1 2 0
0 0 2
0 0 0
0 0 1
1 1 1
1 1 0
1 2 2
2 2 1
10 8
0 1 1
1 0 0
1 1 0
2 2 2
1 1 2
2 2 0
2 1 1
2 0 1
0 1 2
0 2 1
10 7
0 5 3
1 3 0
1 5 1
4 4 3
2 4 1
2 4 4
4 1 5
5 3 4
2 3 2
0 2 2
10 3
3 0 0
0 3 3
2 0 1
4 0 1
1 1 0
4 4 3
3 4 4
4 3 3
3 4 1
0 2 2
10 7
1 1 0
0 1 2
2 0 0
0 2 1
2 0 1
1 0 0
2 1 2
0 0 1
1 0 2
2 1 0
10 4
4 2 5
2 4 2
0 4 0
0 5 2
0 5 0
1 4 3
3 3 5
5 3 5
2 2 1
1 4 1
10 9
2 1 0
1 2 2
0 1 2
0 0 0
1 1 0
2 1 2
0 0 2
1 2 1
0 1 1
0 2 1
10 9
0 2 3
4 2 1
2 2 2
4 3 2
0 1 4
0 0 2
0 1 0
0 2 1
3 3 1
4 1 0
10 8
0 1 0
2 1 0
0 1 1
1 1 0
1 0 0
1 1 2
1 1 1
1 2 2
2 1 1
0 0 1
10 2
2 1 3
2 2 1
0 3 0
0 3 2
3 0 1
0 2 3
3 3 3
3 0 2
2 0 2
3 1 1
10 6
2 1 3
3 0 0
0 0 0
0 2 4
1 1 4
3 1 3
2 4 1
2 2 2
1 2 3
3 3 4
10 5
0 2 1
1 3 4
0 0 3
4 2 0
3 1 0
2 4 1
1 0 2
1 3 0
2 3 1
2 4 4
10 5
0 2 2
1 0 1
2 0 0
1 2 1
1 2 0
1 1 2
1 0 0
2 0 2
0 1 0
0 1 1
10 8
1 0 1
1 0 0
0 2 1
0 2 0
0 0 0
2 0 1
2 1 0
2 1 2
0 1 1
1 1 1
10 5
1 0 2
3 1 1
3 1 4
3 4 2
1 4 3
2 0 4
2 4 1
2 3 3
0 2 0
3 4 4
10 3
1 2 3
4 2 3
1 3 0
4 5 2
0 3 4
3 5 1
3 5 0
4 3 2
2 2 4
5 1 4
10 4
0 2 0
1 0 1
1 2 1
2 2 1
1 1 0
0 1 2
1 2 2
1 0 0
0 1 0
2 1 2
10 7
1 3 4
1 3 0
1 1 3
4 4 1
1 1 4
0 3 4
1 3 1
4 0 1
0 3 2
0 2 0
10 7
1 4 0
1 4 1
4 3 4
3 3 3
2 1 2
2 3 4
4 0 4
4 0 0
2 0 3
3 3 4
10 5
4 2 1
2 3 1
0 3 5
4 4 4
5 3 4
3 2 5
2 3 5
5 0 3
0 4 3
2 5 0
10 5
1 1 2
2 1 0
0 2 1
0 0 0
0 0 1
1 2 2
0 0 2
0 1 1
1 2 1
2 2 0
10 3
3 4 4
1 4 5
0 3 5
0 0 5
4 4 5
2 1 2
1 0 2
2 5 0
4 4 4
3 2 2
10 8
2 1 2
2 1 1
1 2 2
2 2 0
2 0 1
0 1 1
2 2 1
1 2 1
0 2 1
0 2 0
10 2
0 2 2
0 1 1
3 0 1
1 2 1
0 0 0
0 0 3
1 3 3
3 1 0
3 1 1
2 2 1
10 6
2 1 0
1 0 1
1 0 2
2 2 1
2 1 1
0 1 1
0 2 0
2 0 1
0 1 2
2 0 0
10 8
4 5 1
2 4 5
0 0 4
5 2 5
0 3 1
4 4 5
0 5 5
0 1 3
0 1 1
4 3 2
10 6
4 4 2
4 0 1
3 0 3
3 1 3
0 4 1
4 1 4
0 3 4
3 4 4
3 2 2
2 1 2
10 4
1 1 2
1 0 1
0 3 1
2 1 2
2 3 1
2 0 2
1 1 0
3 0 3
0 3 3
0 1 3
10 7
3 1 2
2 0 2
3 1 3
0 5 2
5 4 3
0 2 4
1 1 0
0 5 5
4 1 0
0 4 5
10 6
3 1 2
2 4 0
1 0 1
4 3 1
0 4 4
1 1 4
4 4 0
4 2 1
2 1 1
3 4 3
10 5
2 1 0
0 0 3
3 4 1
2 2 4
0 4 1
2 0 4
4 0 0
3 1 3
2 3 0
1 2 4
10 4
1 3 2
1 3 0
1 2 3
0 2 1
1 1 0
2 2 2
2 0 3
3 2 0
0 3 2
0 0 0
10 5
4 1 3
3 4 2
2 2 0
2 1 3
3 0 2
4 4 4
2 2 1
4 4 3
1 4 2
1 3 0
10 4
1 3 4
4 5 2
4 0 2
3 4 2
0 2 3
0 4 2
5 1 0
5 4 3
4 3 2
4 2 2
10 4
0 2 2
0 0 3
4 1 3
1 0 0
2 0 4
3 0 3
1 4 1
0 0 1
4 1 0
0 4 3
10 2
1 0 0
0 0 2
1 2 2
0 1 0
2 2 2
1 0 2
0 0 1
2 1 0
1 1 1
1 0 1
10 9
1 2 2
2 0 1
1 1 1
1 2 0
1 0 2
0 1 0
0 2 1
2 2 1
2 0 0
0 0 2
10 6
0 2 3
2 2 1
2 1 1
4 4 1
0 0 0
3 3 2
2 3 3
3 4 2
2 1 4
0 2 4
10 8
1 5 2
3 2 0
4 3 1
5 5 0
0 1 1
1 2 4
5 3 4
1 3 4
4 0 5
0 3 4
10 4
2 3 2
3 3 1
1 1 0
0 0 3
2 3 0
0 3 0
2 2 1
3 3 2
3 3 0
0 2 3
10 6
4 4 4
0 1 2
1 5 2
2 2 0
2 1 5
0 4 2
0 0 4
1 3 4
2 1 0
1 4 0
10 6
3 1 1
1 1 1
0 1 0
3 3 1
2 1 3
2 0 0
1 2 2
2 2 2
1 1 2
0 3 1
10 5
4 3 0
1 3 2
0 4 4
3 0 3
3 2 0
0 3 4
2 4 1
1 0 2
1 4 1
3 4 2
10 7
3 5 4
4 2 4
1 3 1
5 4 2
0 0 0
1 4 2
4 3 2
1 2 2
2 3 5
5 5 2
10 9
0 3 1
0 4 0
3 0 3
1 1 1
4 4 2
1 4 0
0 3 3
1 2 0
3 3 3
1 2 3
10 6
0 0 2
0 3 2
2 1 0
0 3 3
3 2 2
0 0 3
1 1 0
2 2 3
2 0 1
1 3 2
10 8
3 3 1
2 1 3
3 2 1
1 0 2
3 3 0
3 0 2
3 0 1
3 2 2
3 2 3
1 1 1
10 5
1 3 2
1 3 1
2 0 4
1 4 1
0 1 1
3 0 0
3 0 2
3 4 2
1 2 3
2 1 3
10 4
2 0 2
2 1 3
3 1 0
3 1 3
2 0 3
0 2 2
2 0 0
1 2 2
3 0 0
3 2 3
10 4
3 2 5
3 5 3
3 5 5
3 4 4
4 0 2
2 3 4
5 2 2
5 3 4
4 3 0
4 5 5
10 4
2 2 2
2 2 0
5 2 0
4 4 2
4 3 2
3 4 0
4 4 4
5 1 5
4 3 0
1 1 3
10 6
3 4 2
2 3 4
1 2 0
0 1 0
5 2 3
2 2 4
4 3 1
3 1 5
2 3 2
3 4 0
10 2
0 3 1
0 2 1
3 1 3
0 1 0
2 3 3
1 3 2
2 0 3
3 1 1
3 3 1
1 1 2
10 8
0 0 1
1 1 0
0 1 0
1 2 1
2 2 0
2 1 1
0 2 2
2 0 1
2 2 2
1 2 0
10 7
1 1 1
0 2 1
3 0 3
1 0 1
0 1 3
1 3 1
1 2 1
2 3 3
1 1 2
2 2 0
10 3
0 2 3
3 1 1
1 3 3
3 2 2
3 2 3
1 3 1
1 1 1
1 2 0
2 0 0
0 2 1
10 8
0 1 0
2 2 2
2 1 0
0 2 2
1 2 0
1 1 2
1 0 2
0 0 1
2 2 0
2 0 0
10 3
2 4 2
4 4 3
2 3 3
2 2 2
4 2 4
4 2 2
3 2 0
1 3 1
2 0 1
2 1 3
10 2
2 3 0
3 3 2
2 0 1
1 0 0
2 1 0
1 0 3
3 3 1
1 0 1
1 1 0
0 2 0
10 8
1 2 2
1 2 1
2 0 0
1 0 2
0 0 0
2 0 2
2 0 1
0 2 0
2 2 1
1 2 0
10 6
2 2 1
0 2 0
2 1 2
1 0 0
0 2 1
1 2 2
0 0 0
2 1 0
0 2 2
2 1 1
10 2
1 4 0
2 4 0
0 1 1
0 3 2
4 2 4
1 3 0
0 4 4
3 0 0
1 1 0
3 2 2
10 6
1 1 0
0 0 0
0 0 2
2 0 1
2 2 1
2 2 0
1 0 0
0 1 1
0 2 1
2 1 1
10 9
3 3 1
1 3 3
3 0 0
3 3 5
1 1 1
0 3 1
3 4 5
1 4 4
2 2 4
5 5 4
10 4
3 1 5
5 4 3
5 3 5
0 4 1
0 4 3
1 3 4
2 1 3
2 1 2
0 2 2
5 5 4
10 2
0 0 2
1 1 2
1 0 0
2 2 0
2 1 1
1 2 2
0 2 1
2 0 0
1 0 1
2 0 1
10 3
1 3 2
1 3 3
2 3 1
1 0 3
2 3 0
3 0 1
0 1 1
2 3 3
3 1 3
0 3 2
10 4
2 4 1
5 5 3
3 0 3
2 0 5
3 4 0
0 3 5
3 1 0
0 1 1
0 0 0
3 3 5
10 4
3 2 0
2 1 2
3 3 0
3 0 3
3 1 0
1 0 1
3 1 1
3 1 3
1 2 1
2 1 1
10 3
0 3 2
4 3 2
3 0 3
2 0 3
0 2 2
0 4 3
1 0 2
3 2 2
3 3 2
3 4 4
10 7
2 1 2
2 2 1
0 0 0
1 1 1
0 2 2
1 1 2
0 1 2
0 1 0
1 1 0
1 0 2
10 9
1 0 3
0 2 2
1 3 2
0 0 3
2 1 0
2 1 2
2 0 0
1 1 1
3 0 0
2 2 2
10 5
2 0 2
1 2 0
2 2 0
1 2 2
2 0 1
2 2 2
2 1 2
0 0 1
1 0 0
0 0 0
10 3
2 4 4
5 4 4
2 0 2
0 3 3
0 5 2
2 5 5
4 5 2
3 3 2
2 0 0
1 4 1
10 6
3 2 5
0 5 2
3 3 2
3 1 5
3 0 3
3 3 1
0 0 3
1 0 5
0 2 3
4 2 2
10 4
0 2 0
3 1 1
1 3 1
3 2 0
3 1 2
3 3 3
2 2 3
1 0 2
2 3 2
2 1 0
10 6
3 0 4
4 5 3
3 0 5
4 4 2
2 0 2
5 2 2
0 5 0
5 3 1
3 4 0
1 1 1
10 2
0 1 1
0 3 3
0 0 0
2 3 0
0 1 3
2 1 2
0 2 0
1 1 0
0 0 1
0 1 2
10 5
1 1 2
1 0 2
1 0 1
0 2 1
0 1 0
0 1 1
1 1 1
1 2 1
2 2 2
0 1 2
10 2
2 1 2
0 0 2
1 0 2
0 1 2
1 1 2
2 1 0
2 2 0
1 0 1
0 0 0
2 2 2
10 9
1 1 3
1 0 1
3 3 3
1 3 1
1 1 2
3 3 2
1 2 0
2 3 1
2 1 0
3 2 3
10 4
0 1 0
1 0 0
0 0 2
1 0 1
1 2 0
1 2 1
0 2 1
0 1 2
1 1 0
0 2 2
10 4
2 3 1
1 3 0
1 0 2
3 1 2
0 3 1
2 2 2
0 0 2
3 0 1
1 2 2
2 3 3
10 3
4 4 4
4 4 2
0 0 0
4 2 3
4 0 0
3 3 4
1 1 4
1 2 0
4 1 0
1 0 2
10 8
1 1 0
1 2 2
2 2 1
0 1 2
2 1 2
1 0 2
2 0 2
2 1 1
0 0 2
0 1 1
10 4
3 0 4
2 3 3
1 1 3
1 4 0
3 4 2
3 0 0
4 0 0
0 0 3
0 0 1
2 4 1
10 4
2 1 4
0 3 5
5 2 3
0 0 5
2 5 1
2 0 0
5 4 0
1 0 4
1 3 2
4 4 2
10 5
5 4 3
2 3 1
5 4 1
3 1 2
0 0 1
2 1 3
5 1 2
2 5 4
0 4 5
5 2 5
10 8
2 2 2
0 3 0
3 0 2
2 3 3
1 2 1
1 1 0
3 3 3
3 1 2
2 2 3
0 3 1
10 2
0 2 3
2 2 3
1 0 2
1 2 0
0 3 2
2 1 2
2 2 0
0 0 2
3 2 1
0 0 1
10 3
3 2 0
2 0 1
0 1 3
3 2 4
1 0 0
1 0 1
2 4 0
2 2 4
1 0 4
3 2 2
10 4
3 5 0
5 1 1
1 0 5
4 2 2
0 2 1
0 5 0
2 0 4
1 5 0
3 4 2
0 3 4
10 2
0 4 1
3 2 2
0 3 1
0 1 4
4 2 3
4 2 0
0 3 4
0 3 0
4 3 2
0 0 2
10 5
1 1 1
1 2 1
0 1 2
1 0 0
2 0 2
0 2 2
1 0 2
0 0 2
2 2 2
0 2 0
10 3
0 1 0
0 1 1
2 1 0
1 2 2
0 2 1
1 1 2
0 0 1
2 0 0
0 0 2
1 2 0
10 8
3 1 1
0 3 2
1 3 1
1 5 2
3 2 2
2 5 0
2 3 0
5 4 0
3 1 5
0 3 0
10 2
0 0 4
0 2 3
1 1 3
5 0 1
1 2 2
4 1 0
1 5 3
5 2 3
1 1 4
5 5 0
10 4
0 4 3
2 0 1
0 1 1
2 2 1
3 1 3
1 0 2
1 2 4
3 4 1
3 3 4
0 2 3
10 7
0 5 1
4 3 5
2 1 3
0 0 0
2 0 5
5 5 5
5 3 4
4 1 4
1 4 4
5 2 5
10 7
1 1 4
1 3 1
3 4 5
3 5 0
1 2 4
1 3 2
2 0 3
3 1 0
0 4 1
5 1 3
10 8
1 4 4
1 3 4
3 3 1
3 4 1
4 0 3
4 1 0
1 4 2
4 4 0
4 2 0
3 4 4
10 5
2 0 3
1 0 2
3 3 2
2 0 1
2 3 3
3 2 2
0 1 0
1 3 3
2 2 0
3 3 3
10 7
2 2 1
0 0 0
2 1 2
0 1 0
0 0 1
1 2 1
0 1 2
1 0 1
1 1 1
2 0 2
10 6
0 3 2
2 0 0
2 2 1
0 2 2
1 3 0
3 3 3
2 2 2
2 2 3
0 0 0
2 1 0
10 2
1 2 2
2 0 0
0 1 1
1 0 2
2 0 2
1 0 0
1 1 2
1 1 1
1 2 1
0 0 0
10 7
2 0 2
0 0 0
2 0 0
2 2 2
1 2 1
2 2 0
1 0 2
0 2 1
2 1 0
1 1 0
10 7
2 4 3
1 2 4
2 0 2
4 2 4
4 3 1
3 0 0
1 2 1
3 2 4
3 1 1
2 1 4
10 8
1 2 0
0 2 3
2 2 2
1 1 3
0 1 3
3 0 0
2 2 1
1 3 2
2 2 3
3 3 3
10 6
0 4 0
3 2 1
3 0 1
4 3 1
1 2 2
1 4 2
0 1 3
0 3 1
2 1 1
2 4 1
10 2
3 0 1
2 1 2
1 1 1
3 1 3
0 0 1
1 1 0
0 0 2
0 1 2
3 3 3
2 3 1
10 8
2 4 2
1 3 1
2 3 3
4 2 1
0 4 0
1 1 1
0 2 3
0 4 3
1 1 2
1 4 0
10 2
5 3 2
5 0 3
4 4 3
1 0 0
1 3 1
5 0 2
0 5 1
1 2 3
2 2 4
5 2 4
10 9
1 3 3
1 2 3
0 0 1
1 1 2
3 1 2
0 2 3
0 1 0
1 3 2
0 2 1
1 1 3
10 6
4 1 3
2 4 0
2 0 1
0 3 3
3 3 4
1 2 0
1 0 0
0 2 1
2 0 2
0 1 0
10 2
3 0 3
2 0 1
3 1 2
0 3 1
1 2 2
1 3 2
3 3 0
2 0 2
0 1 0
1 3 0
10 5
1 2 3
5 3 0
4 4 4
4 1 5
2 3 3
0 3 0
3 1 2
5 1 0
5 4 3
4 0 1
10 2
0 3 3
3 2 1
2 1 0
0 2 3
3 0 3
2 3 2
2 1 3
3 1 0
2 3 1
1 3 1
10 8
4 4 0
4 2 4
4 0 3
4 3 5
5 4 2
3 2 2
3 4 3
2 2 1
1 5 3
3 0 3
10 8
1 1 0
1 3 3
2 2 2
3 0 2
3 3 0
2 3 3
1 3 0
2 0 0
3 0 3
1 1 1
10 9
2 2 0
3 2 1
0 1 0
1 4 2
1 0 4
4 2 5
0 2 1
5 3 0
4 3 2
1 2 4
10 4
2 3 0
1 0 3
1 1 0
2 0 1
2 2 0
1 1 3
1 3 3
2 3 2
2 2 3
3 3 2
10 3
1 0 2
1 2 2
1 2 1
0 0 1
0 2 2
2 0 0
2 2 1
1 1 2
1 1 1
2 0 2
10 3
1 2 0
4 3 2
2 2 3
4 2 0
1 4 3
4 3 3
0 0 3
2 2 0
3 4 2
3 1 0
10 9
2 0 1
0 0 0
1 1 0
2 2 1
0 1 0
1 2 1
0 2 1
1 1 1
2 0 0
0 2 0
10 5
2 2 2
2 2 0
1 1 1
0 1 2
0 1 1
1 0 2
0 1 0
2 1 1
2 1 2
1 0 1
10 5
0 2 1
2 1 2
2 2 2
2 1 0
1 2 2
0 1 0
2 1 1
0 0 2
2 2 0
2 0 1
10 3
1 3 1
3 0 4
0 1 1
3 2 3
4 0 0
2 2 4
0 2 4
2 1 2
2 2 2
0 2 2
10 8
1 0 2
3 3 2
2 2 2
1 3 2
3 2 1
3 3 3
1 1 1
2 0 0
2 0 1
0 2 2
10 4
2 1 1
1 2 2
1 2 1
2 1 2
1 1 0
1 0 1
0 2 2
1 0 2
0 2 1
2 1 0
10 8
1 4 0
3 4 2
3 1 4
0 1 0
0 4 3
0 3 1
0 3 4
3 2 1
2 1 2
4 2 1
10 9
2 3 2
3 3 2
1 5 2
5 0 2
5 0 0
5 2 2
5 5 2
2 1 3
2 4 5
1 2 5
10 7
0 1 1
0 2 2
4 1 2
4 3 3
2 2 0
4 2 2
0 3 2
4 2 3
0 2 1
4 0 4
10 3
2 0 2
1 2 0
1 1 0
0 0 0
1 1 2
1 1 1
0 0 2
2 2 0
2 2 2
2 1 1
10 8
2 2 1
0 2 2
2 1 1
2 0 0
2 0 2
2 1 0
0 0 1
1 0 2
1 2 2
0 2 0
10 7
1 0 1
3 1 0
0 2 1
1 2 2
2 1 3
3 1 1
0 0 1
3 2 0
0 3 1
3 2 3
10 4
4 1 3
1 4 0
1 3 2
1 3 4
4 4 2
0 0 1
1 2 0
0 3 1
3 3 1
0 4 3
10 3
1 0 2
0 2 3
2 0 2
3 2 1
1 2 3
0 3 3
1 2 1
3 1 3
3 0 2
0 2 0
10 5
2 2 2
0 1 1
0 2 2
2 0 2
0 0 1
0 0 0
2 0 1
1 0 0
2 1 2
2 2 0
10 2
3 4 0
0 3 2
0 1 4
1 2 0
4 3 3
3 3 4
0 4 1
3 4 1
0 2 2
1 2 4
10 6
3 5 5
0 4 3
0 3 1
5 3 2
3 4 1
2 2 4
2 0 4
3 4 5
5 3 3
1 4 2
10 9
2 1 3
2 2 1
3 3 1
3 0 0
2 2 2
2 2 0
1 1 1
2 2 3
0 1 3
3 2 0
10 5
2 0 1
2 2 0
1 2 1
1 1 1
1 2 0
0 1 0
1 2 2
1 0 2
1 1 0
0 0 2
10 2
4 1 2
3 4 4
1 1 3
3 1 4
4 0 2
1 4 3
4 1 3
0 2 2
1 0 1
3 4 2
10 6
2 0 1
1 0 2
2 1 0
0 0 0
1 0 1
2 0 0
1 1 2
2 1 1
1 1 0
1 1 1
10 8
2 4 0
1 0 1
1 1 0
4 3 4
4 1 0
3 2 2
2 4 2
1 1 3
1 4 0
0 2 4
10 8
3 2 0
0 3 1
2 3 3
1 1 2
1 1 3
2 3 2
3 0 0
2 0 0
0 0 1
2 2 1
10 7
3 2 0
1 3 3
3 3 2
2 1 3
1 0 3
0 2 3
1 1 1
3 1 0
1 3 1
2 0 3
10 9
0 0 2
2 2 0
0 2 2
1 1 2
1 2 0
1 1 1
0 0 1
0 0 0
2 0 1
2 1 2
10 8
1 0 2
2 2 1
0 0 2
1 2 2
2 2 0
2 1 1
2 0 1
2 0 0
1 1 1
0 1 0
10 7
0 2 0
1 1 1
0 1 2
0 2 2
1 0 3
3 3 1
3 2 1
3 1 1
1 1 3
1 3 1
10 6
4 4 4
2 4 2
0 1 4
4 1 0
3 0 1
4 3 4
1 4 0
1 4 1
0 0 1
4 2 4
10 3
2 2 3
2 0 2
2 0 0
0 0 3
3 2 1
0 2 3
2 0 1
2 2 0
1 2 2
1 0 1
10 2
4 4 0
1 5 2
5 4 2
2 5 4
2 2 5
1 3 2
0 5 3
3 2 2
3 5 5
3 1 4
10 9
2 0 0
1 0 2
0 0 1
1 1 2
2 1 0
0 0 0
0 1 2
0 1 0
1 1 1
0 0 2
10 6
1 0 0
0 3 2
1 2 1
0 0 2
2 1 3
1 0 3
2 3 0
0 1 1
2 2 2
1 2 0
10 4
0 0 2
1 0 2
0 0 1
1 1 1
2 1 2
1 0 0
2 2 2
1 1 2
0 0 0
0 1 1
10 9
4 0 2
0 2 4
0 0 1
2 1 0
1 2 0
3 4 3
4 2 4
0 3 2
3 3 4
4 4 1
10 8
0 0 1
1 2 1
3 0 3
3 2 1
2 3 0
3 1 0
0 3 2
1 0 0
3 3 2
2 3 2
10 6
2 1 1
2 1 0
0 1 0
2 0 0
1 0 2
1 1 1
1 1 0
0 1 2
0 2 2
1 0 0
10 5
0 2 0
1 4 2
1 2 1
1 1 0
3 1 4
0 1 4
0 1 2
1 4 0
1 3 2
0 2 4
10 5
2 2 0
3 4 3
3 1 3
4 1 4
2 0 1
0 0 3
2 4 4
4 2 1
2 4 0
0 2 4
10 9
0 1 1
0 1 2
1 2 0
1 1 0
0 2 1
2 0 0
2 2 0
2 1 2
0 0 1
1 0 2
10 2
0 1 1
2 1 3
3 1 3
3 0 0
0 0 2
1 2 3
3 2 2
2 0 0
2 2 0
3 3 0
10 4
1 0 4
1 5 0
5 2 2
5 2 0
1 0 2
2 1 1
3 1 5
4 0 0
3 5 4
5 4 2
10 7
2 1 3
0 3 2
0 1 3
2 2 0
0 1 1
2 3 2
1 1 2
1 3 1
1 2 2
0 3 0
10 9
1 0 0
2 0 2
2 1 0
2 2 1
2 2 2
0 0 0
2 1 2
1 1 2
0 1 2
0 2 1
10 4
2 1 0
3 2 1
4 0 3
4 2 3
2 2 1
0 4 2
2 1 3
1 2 0
2 4 1
4 4 3
10 7
2 0 2
0 0 0
0 1 2
1 2 1
1 1 1
1 0 1
2 2 2
1 0 2
2 1 1
0 1 0
10 2
2 4 5
2 4 1
5 2 5
0 3 3
2 3 0
4 3 1
4 1 4
5 2 1
1 0 0
2 2 5
10 9
0 0 2
0 1 1
0 2 1
2 0 0
1 1 2
2 2 0
2 2 1
1 0 0
1 1 0
1 1 1
10 9
0 1 0
3 2 2
3 1 0
0 2 1
1 1 3
2 1 0
3 2 1
1 3 1
1 1 0
3 2 3
10 5
1 1 0
1 1 1
0 0 1
0 0 0
0 0 2
1 1 2
0 1 0
1 2 2
0 2 1
2 1 2
10 8
2 0 2
0 1 1
1 0 1
1 2 1
0 1 0
2 2 1
1 1 1
2 0 1
2 0 0
0 2 1
10 8
0 0 1
1 2 2
2 1 2
2 0 1
1 0 1
0 2 2
2 1 0
1 0 0
1 0 2
2 2 2
10 2
2 3 3
2 0 5
0 1 1
1 4 2
5 4 3
4 1 1
5 0 1
0 3 0
2 4 0
2 2 0
10 2
0 1 0
3 1 1
3 3 3
3 1 3
2 3 0
3 0 2
1 1 0
2 1 3
3 0 3
3 3 2
10 5
1 4 0
4 2 2
1 2 1
3 2 4
1 0 1
2 0 2
3 1 1
1 3 2
1 1 2
1 0 2
10 6
0 4 3
1 4 5
0 0 5
3 2 5
4 4 1
0 1 4
4 5 5
0 4 1
0 0 4
5 2 0
10 9
3 2 3
3 2 2
2 3 2
0 0 2
0 3 0
2 3 3
2 4 0
3 4 2
0 0 3
3 0 0
10 7
0 3 2
2 0 1
1 3 2
0 1 0
1 3 3
0 1 2
2 1 2
2 2 0
3 1 0
3 2 3
10 9
3 4 3
5 2 0
5 1 4
1 0 0
5 1 3
0 0 1
5 1 0
2 5 1
4 5 5
4 1 3
10 3
1 1 1
0 0 2
1 0 0
2 1 0
1 1 2
0 2 1
2 0 1
1 2 1
2 2 1
0 2 2
10 6
0 0 1
1 0 0
3 1 0
1 3 0
1 1 1
3 0 1
0 2 1
2 1 3
2 1 1
0 3 3
10 2
0 0 2
4 4 2
3 3 0
2 4 1
1 0 0
2 2 3
4 2 1
4 0 3
4 3 0
2 1 3
10 9
1 2 1
3 2 3
2 1 1
2 0 2
3 2 1
0 3 0
1 1 0
3 2 0
2 3 3
0 1 0
10 8
2 4 1
2 1 0
4 0 4
1 1 0
3 2 3
1 3 4
4 0 1
1 0 3
1 0 4
2 2 0
10 9
2 2 0
0 3 1
3 4 3
2 4 3
4 4 0
4 0 4
2 3 4
0 2 0
3 0 1
3 4 4
10 9
4 2 4
2 1 1
1 0 0
2 4 3
4 0 0
4 0 1
1 0 3
2 2 4
1 4 4
1 3 0
10 6
3 3 0
2 1 1
2 3 0
2 1 0
3 0 3
2 2 1
3 2 1
3 0 2
0 3 3
1 1 0
10 7
3 1 4
4 0 3
3 4 1
2 2 1
4 2 1
0 1 0
1 4 0
1 3 2
1 1 1
0 4 3
10 2
1 1 0
1 0 0
0 1 1
3 1 0
3 0 3
3 3 1
2 3 0
1 0 1
0 1 2
3 2 3
10 5
2 3 0
1 3 4
4 3 2
1 1 3
3 2 0
0 0 2
1 1 0
2 4 1
1 4 3
2 2 0
10 5
2 4 0
2 0 4
4 1 4
1 1 2
4 2 4
2 4 4
4 4 4
1 0 2
1 3 4
3 2 1
10 2
2 5 3
1 3 3
0 0 5
5 4 5
3 0 0
5 2 0
4 4 1
4 0 5
0 4 5
5 4 3
10 8
3 3 3
3 0 1
0 4 1
0 0 2
3 1 4
0 4 4
4 4 0
2 0 4
0 4 2
0 1 4
10 2
2 4 0
1 3 4
0 0 1
2 5 4
5 5 4
3 3 2
1 4 5
5 3 4
0 1 2
1 2 4
10 9
2 2 4
4 1 1
3 0 3
3 1 2
1 2 3
2 1 1
3 4 1
1 3 3
1 0 3
2 1 4
10 4
1 5 4
0 2 3
0 2 2
4 0 4
2 4 3
0 4 0
2 2 1
2 4 4
3 0 2
3 5 1
10 9
1 1 0
4 2 2
2 3 4
4 0 3
4 3 2
3 4 0
1 3 0
1 1 1
4 0 4
3 3 1
10 9
3 4 1
3 3 2
2 0 2
3 0 4
2 0 0
0 5 0
0 2 4
5 1 1
0 4 4
3 4 5
10 4
2 3 1
0 2 0
1 3 2
1 2 0
1 4 3
0 1 4
2 4 2
4 3 3
3 4 1
4 2 4
10 3
1 2 4
0 3 1
1 2 1
3 0 4
3 2 4
4 3 3
4 2 0
0 4 2
4 2 4
1 0 0
10 2
0 1 1
2 2 3
3 5 5
4 5 4
4 3 4
5 5 0
3 4 3
1 5 3
1 0 5
0 2 1
10 8
0 2 4
3 2 3
2 4 2
3 2 0
4 3 4
0 3 2
3 3 1
3 3 3
2 3 0
3 2 2
10 2
4 3 1
0 1 0
3 0 0
0 4 4
1 1 3
0 3 3
1 4 4
2 4 3
2 1 2
4 0 4
10 5
1 3 0
2 2 1
3 1 3
2 3 0
2 2 0
1 1 2
3 2 3
1 0 1
2 1 2
0 2 2
10 8
4 5 3
1 1 3
2 5 5
1 1 4
4 2 1
3 0 3
4 4 1
2 3 0
5 2 3
5 2 5
10 8
0 0 0
3 2 1
3 3 4
0 1 1
2 0 2
3 4 4
0 3 0
0 2 4
0 1 3
3 2 3
10 8
2 1 1
0 0 2
2 2 2
3 1 1
0 0 1
0 1 2
3 1 3
0 3 1
1 1 0
0 1 1
10 8
1 1 1
2 2 0
1 2 1
1 2 2
0 2 0
0 1 1
0 1 0
2 0 2
0 2 2
2 1 0
10 9
0 0 3
0 0 1
1 3 3
4 0 5
0 4 5
4 3 2
5 2 4
3 1 4
0 1 2
4 1 0
10 9
0 1 1
0 0 1
2 1 1
1 0 2
1 2 0
2 1 2
2 0 2
0 0 0
1 0 0
0 0 2
10 2
2 1 5
4 5 0
0 3 3
2 4 0
5 5 1
1 3 3
4 4 1
1 5 0
2 2 3
5 0 2
10 9
3 0 2
3 0 0
1 0 1
0 1 0
3 3 1
1 2 1
2 2 0
2 1 0
0 0 1
3 2 1
10 7
0 4 3
4 3 4
1 2 4
2 4 0
0 3 5
3 1 0
2 4 2
2 5 1
2 1 5
1 0 3
10 5
4 0 0
2 4 4
4 4 4
5 1 3
1 3 5
1 0 0
0 5 2
0 5 0
5 1 2
2 2 2
10 7
0 1 0
1 0 0
0 0 0
0 0 1
0 0 2
0 2 0
2 2 1
1 1 0
1 0 2
2 1 1
10 8
2 1 0
2 2 2
0 0 2
1 2 0
2 0 1
2 2 0
1 1 2
2 0 0
1 0 2
1 2 1
10 7
5 2 4
0 5 4
0 0 2
1 5 1
5 3 4
5 2 1
3 3 4
1 5 2
4 3 2
5 5 0
10 3
5 4 0
1 0 3
5 5 0
1 2 0
1 5 5
5 5 2
4 5 3
3 3 3
4 3 2
2 5 1
10 2
3 3 2
5 4 5
2 5 3
0 2 2
2 4 4
5 1 4
0 4 1
5 0 4
2 0 5
5 3 2
10 5
2 4 1
4 4 1
2 2 3
4 1 0
1 4 4
0 1 1
3 1 0
3 4 1
1 1 0
4 3 0
10 6
3 4 0
3 4 3
1 3 0
2 3 2
4 2 0
3 4 2
3 1 0
0 2 1
0 1 2
1 4 4
10 3
0 1 0
2 0 2
1 1 2
2 1 1
2 0 0
2 1 2
0 2 0
1 2 0
1 0 1
0 0 2
10 8
2 1 0
2 4 1
0 4 4
1 1 1
4 3 4
1 2 0
0 2 3
2 3 3
4 2 1
3 1 2
10 8
3 0 0
5 2 1
3 2 2
3 1 0
2 1 2
5 4 1
0 4 5
0 5 2
4 4 5
4 4 1
10 3
1 2 2
3 0 1
2 1 2
3 2 1
1 0 2
0 0 2
0 2 1
1 0 0
2 2 3
3 2 2
10 5
4 4 5
5 5 2
5 5 0
3 5 2
1 4 1
2 1 3
0 5 0
0 0 0
5 4 5
2 2 2
10 7
2 0 0
1 0 1
1 1 1
2 1 0
1 0 0
1 2 2
2 1 2
1 1 2
0 0 2
1 1 0
10 4
2 0 0
0 2 2
1 1 2
0 0 0
2 2 1
0 1 0
0 1 1
2 1 2
0 1 2
1 0 1
10 2
3 2 1
0 0 3
2 1 1
3 3 3
1 0 2
0 3 2
2 3 1
0 0 2
0 2 0
1 1 2
10 2
3 3 1
1 1 3
3 2 2
1 3 3
1 2 1
0 0 1
2 0 3
3 1 1
2 1 0
0 1 1
10 2
2 5 4
1 3 3
0 1 5
2 5 3
0 1 1
1 5 0
5 0 1
0 4 0
5 1 4
4 2 3
10 2
2 2 0
0 2 2
0 1 2
2 2 1
2 1 0
0 0 1
2 0 1
0 1 1
1 1 1
2 1 2
10 5
3 0 1
2 2 3
4 1 5
0 1 2
4 4 2
1 2 3
2 2 4
2 0 4
1 3 2
5 2 4
10 2
2 0 0
2 4 4
3 0 1
3 2 0
3 4 0
2 4 0
3 1 1
3 2 2
1 0 4
1 2 4
10 4
2 2 0
2 0 2
0 1 2
1 0 0
1 2 2
2 2 2
1 0 2
1 1 0
1 2 0
2 0 1
10 7
3 2 1
2 2 2
0 1 1
0 3 1
2 1 2
0 3 2
3 0 1
0 0 0
0 0 1
1 2 1
10 2
2 1 1
2 1 2
0 1 1
2 2 1
2 2 0
0 2 2
1 0 1
0 2 1
1 2 0
2 0 2
10 4
3 1 4
0 2 5
0 0 2
1 1 2
1 3 1
5 0 1
4 4 1
3 1 3
2 1 1
5 1 4
10 9
2 1 1
2 1 0
0 1 2
3 3 2
1 0 3
3 2 2
0 1 0
2 3 1
0 3 2
0 2 3
10 7
0 1 0
2 2 0
3 1 0
3 0 1
2 3 0
1 3 0
1 2 2
1 3 2
3 3 2
3 2 2
10 7
1 1 2
2 2 0
0 0 0
2 2 1
1 2 2
1 0 0
2 0 0
0 0 2
0 2 2
0 0 1
10 5
5 3 3
2 3 1
2 1 2
3 0 1
5 1 0
5 4 2
1 3 5
1 0 4
1 2 4
4 4 1
10 4
1 1 3
0 1 0
2 2 0
1 3 1
1 2 2
3 1 1
1 1 0
3 2 0
0 2 2
2 3 2
10 5
1 1 2
1 2 0
2 0 2
2 2 1
0 2 1
1 0 2
1 1 0
1 1 1
1 2 1
0 0 2
10 8
2 2 1
2 1 2
1 2 2
1 1 2
1 2 0
2 2 2
2 1 1
0 1 2
2 0 0
0 2 1
10 7
2 2 0
2 4 1
4 3 4
4 4 4
3 3 4
1 0 1
4 3 2
0 2 3
2 0 1
0 1 4
10 3
4 0 0
1 0 2
3 0 4
0 2 3
3 0 3
0 1 4
2 3 1
4 4 3
2 1 2
0 0 1
10 4
1 2 0
0 0 2
2 0 2
0 0 0
1 1 2
2 1 0
2 2 1
2 0 1
1 1 0
0 0 1
10 6
4 5 1
3 0 5
5 4 2
2 3 1
5 4 4
5 3 4
5 2 4
4 3 1
3 5 5
0 4 0
10 3
2 0 0
1 1 1
0 2 0
1 0 0
2 1 1
1 2 1
0 2 2
2 2 0
0 0 1
2 0 2
10 5
0 4 2
4 0 3
0 4 1
3 4 0
4 3 1
1 3 2
0 3 0
2 0 4
1 4 2
3 3 1
10 3
2 1 2
3 0 2
2 1 1
3 1 0
2 2 2
2 3 0
0 0 1
0 0 0
2 1 0
2 0 1
10 8
2 4 5
3 4 2
3 1 3
5 1 3
2 0 2
2 2 0
1 3 4
1 2 4
1 0 2
2 0 1
10 3
0 1 0
1 5 2
5 4 1
2 2 2
5 0 3
1 2 5
3 3 5
3 3 3
5 4 3
2 2 4
10 9
3 0 3
1 4 2
0 0 0
0 0 1
2 1 0
2 2 4
0 1 2
1 3 0
4 2 2
0 4 3
10 5
2 3 2
1 0 1
3 3 1
2 0 2
1 3 1
0 2 3
0 3 0
2 1 2
2 0 0
3 3 2
10 9
0 2 1
0 0 2
1 2 2
0 1 1
2 1 2
1 2 1
1 1 1
2 0 0
2 2 0
2 0 2
10 3
1 4 4
5 1 2
5 3 0
1 3 3
0 3 2
3 0 5
2 5 2
2 4 3
5 3 2
0 5 4
10 6
3 1 0
0 0 1
0 1 2
0 3 0
3 3 3
0 3 2
2 0 1
1 0 1
2 3 3
2 2 2
10 6
0 2 3
3 2 1
3 1 3
3 0 3
1 0 2
2 1 1
3 0 0
3 0 1
0 2 2
2 2 2
10 3
0 4 2
0 3 2
4 3 0
2 4 2
1 3 1
4 2 4
3 0 3
3 3 0
0 0 1
0 1 0
10 7
3 2 1
0 3 3
2 3 1
3 1 3
2 0 2
2 2 2
2 1 0
2 2 1
0 1 1
0 0 1
10 9
2 2 1
2 0 1
3 0 1
2 3 3
3 2 1
3 0 2
1 3 2
1 2 2
3 3 3
0 0 0
10 8
2 3 1
0 3 2
1 3 2
4 1 2
3 4 1
0 0 1
3 1 1
1 1 3
0 1 2
1 0 1
10 2
4 1 0
0 0 3
2 1 4
3 0 1
0 4 0
4 1 3
4 4 4
1 3 3
4 3 1
4 4 3
10 7
1 2 0
2 2 1
1 0 1
1 2 1
0 0 0
1 0 2
0 2 1
0 0 1
1 1 2
2 0 2
10 6
4 0 1
4 3 5
1 3 1
5 1 5
4 4 1
3 1 3
0 5 0
0 4 3
5 1 0
4 1 3
10 6
0 3 5
5 5 0
2 5 5
2 5 4
2 5 2
0 2 4
1 4 4
4 3 4
2 4 4
2 5 3
10 3
1 2 1
2 3 2
3 3 3
3 3 0
0 3 0
1 3 3
1 3 2
0 2 3
3 1 2
0 0 2
10 3
2 1 2
4 3 3
4 0 1
2 3 1
0 0 1
4 4 2
4 0 0
4 4 4
1 2 4
4 0 4
10 4
0 1 2
0 3 1
2 1 3
1 2 0
2 3 2
0 0 1
3 1 1
2 2 2
1 1 0
3 0 2
10 9
0 2 3
3 1 1
3 3 0
1 3 0
1 1 0
1 0 0
1 1 1
2 2 0
3 1 0
3 0 2
10 9
1 2 0
0 1 3
0 0 1
1 1 1
3 0 3
1 0 1
2 0 0
0 3 3
3 2 2
2 1 1
10 9
0 2 1
2 4 0
3 0 4
3 4 2
4 2 4
4 0 2
1 3 4
1 4 3
1 2 4
4 0 3
10 3
0 2 0
2 0 1
1 0 0
3 1 2
1 2 1
1 3 0
2 3 1
3 2 1
1 0 1
1 1 3
10 3
1 2 0
2 0 0
0 1 0
2 1 0
0 2 1
2 2 0
1 1 0
0 1 2
2 0 2
2 1 1
10 3
3 3 0
1 4 0
1 0 4
2 2 4
2 3 4
0 4 2
4 0 0
3 3 3
0 0 3
2 4 0
10 8
2 0 2
0 2 1
3 2 0
3 1 1
2 1 1
2 3 2
2 0 0
0 1 3
3 3 2
1 1 0
10 7
1 2 2
1 2 5
0 5 2
3 3 4
2 3 5
5 0 2
0 5 0
3 2 3
2 3 3
0 4 1
10 8
0 2 2
0 2 1
2 1 3
1 1 3
2 2 3
3 3 0
0 3 1
3 2 1
2 0 0
3 0 2
10 3
2 3 4
1 0 2
0 0 0
2 0 0
2 0 4
0 0 3
1 1 1
3 3 1
3 4 1
4 2 1
10 5
0 2 1
1 0 1
1 2 2
2 1 1
2 0 1
0 2 0
1 0 0
1 1 1
2 2 0
0 0 1
10 3
0 2 1
0 3 0
5 2 0
3 2 3
0 5 4
5 1 5
0 4 2
3 0 3
3 1 0
2 5 1
10 5
2 1 3
0 4 4
4 1 4
3 2 0
4 3 2
1 4 1
1 0 0
4 2 1
0 0 1
2 3 0
10 9
1 1 2
1 0 2
0 2 1
2 2 0
1 2 0
0 2 0
2 0 0
2 1 2
0 1 1
1 2 2
10 5
2 2 0
1 2 2
1 1 0
0 0 1
0 2 0
1 1 2
1 0 0
2 2 2
0 2 1
2 0 0
10 8
2 0 0
1 0 0
1 1 2
0 2 2
2 0 2
2 2 2
2 0 1
1 1 0
0 0 2
2 1 1
10 2
0 0 0
0 3 3
1 3 2
1 2 0
3 3 1
2 1 2
3 2 3
1 1 3
3 0 3
2 0 0
10 6
1 1 1
2 2 0
3 2 3
1 1 2
0 0 3
3 1 0
0 0 0
0 2 2
0 1 1
2 1 3
10 8
2 2 1
1 0 1
1 1 2
2 1 0
2 0 2
0 2 0
1 2 2
1 2 0
2 1 2
2 2 0
10 8
2 2 1
0 2 0
0 1 0
1 1 1
2 1 1
1 1 2
2 0 1
0 0 0
2 1 0
1 0 2
10 2
0 3 1
0 0 0
0 1 0
0 1 2
3 0 1
1 1 0
1 2 1
3 1 1
1 1 2
3 1 2
10 2
0 3 2
1 3 2
0 2 1
3 2 2
2 0 3
0 0 0
3 1 0
1 0 0
1 2 1
0 2 0
10 7
4 0 2
5 3 0
0 4 1
5 3 4
3 4 5
1 3 2
5 5 3
5 5 0
1 4 4
3 4 4
10 8
1 1 0
2 1 0
3 4 4
1 5 0
3 1 5
5 0 4
4 1 1
4 2 4
2 3 1
3 3 4
10 8
0 1 1
2 3 1
0 3 3
3 3 0
1 1 2
1 1 0
3 2 3
3 0 3
2 2 1
0 2 3
10 2
5 0 4
1 1 1
0 3 0
4 3 3
3 2 1
0 3 2
0 3 5
4 1 4
4 5 2
5 5 1
10 4
2 4 2
4 0 0
1 1 1
0 3 0
5 4 1
4 1 5
1 4 1
1 1 2
3 0 0
3 3 4
10 5
1 0 0
4 1 0
2 2 0
0 0 1
4 3 2
2 3 2
4 2 0
3 1 2
1 0 1
1 0 2
10 5
2 1 0
2 1 1
3 1 4
0 2 1
1 3 1
4 1 0
3 2 2
1 4 2
0 3 0
0 3 3
10 4
1 2 0
0 0 1
0 1 0
2 0 1
1 0 2
1 0 0
1 0 1
2 2 1
0 1 2
1 1 1
10 6
3 2 3
2 3 4
2 3 2
4 2 0
3 1 2
1 0 0
1 4 2
3 2 0
2 4 1
2 3 0
10 6
3 1 2
1 2 3
2 3 0
0 2 1
2 0 1
1 3 2
0 1 1
1 0 3
3 1 1
2 0 3
10 3
3 1 3
2 4 2
2 1 2
3 3 0
1 3 3
2 0 4
4 1 2
2 3 4
1 0 2
4 3 0
10 2
2 2 2
2 3 3
3 1 0
2 0 3
2 2 1
2 0 0
0 3 0
1 3 2
1 2 0
0 3 1
10 2
2 0 4
0 0 3
4 4 2
4 0 4
0 2 3
3 1 4
1 2 1
4 4 0
4 1 4
3 2 1
10 3
1 0 2
0 2 1
0 1 1
2 0 0
1 1 0
1 1 1
2 1 0
2 0 1
2 2 0
2 1 2
10 4
0 0 1
1 0 2
0 1 1
1 2 2
2 0 2
1 2 0
1 1 1
0 1 0
0 2 0
0 1 2
10 9
2 1 2
2 0 1
3 2 1
0 1 0
0 0 2
3 1 3
2 2 1
0 1 3
1 3 0
3 1 0
10 3
1 1 0
2 0 0
3 2 0
2 1 1
3 0 0
3 3 0
2 2 2
2 2 3
3 1 2
2 0 1
10 3
0 3 0
2 0 1
0 0 1
2 3 0
3 1 1
2 2 2
0 1 3
1 1 2
0 3 1
3 2 1
10 5
2 1 1
0 2 3
2 2 3
3 0 1
1 2 3
0 0 3
1 2 1
3 2 0
0 1 3
2 0 2
10 5
4 0 2
1 3 2
2 3 2
2 4 4
4 3 5
2 4 0
0 0 1
4 4 2
3 1 3
0 3 2
10 7
0 2 1
3 2 3
0 2 0
1 0 0
2 0 1
2 3 2
2 0 0
3 1 2
0 0 2
3 1 1
10 9
1 3 2
0 0 4
1 3 4
2 2 1
3 5 0
3 5 3
2 0 2
0 5 3
0 4 3
3 4 1
10 7
1 2 2
2 4 3
1 1 3
4 2 1
3 2 2
2 4 4
3 4 3
1 1 1
4 2 2
4 0 1
10 2
4 1 3
1 3 4
4 0 0
3 2 0
1 0 4
0 4 1
3 1 4
2 2 0
1 2 3
1 0 1
10 9
0 1 0
0 2 2
1 3 2
3 1 3
0 3 0
3 1 0
3 2 1
1 1 3
2 1 2
3 0 0
10 5
3 2 1
4 2 2
1 3 1
4 2 3
1 1 2
2 1 2
2 4 3
3 0 4
2 3 3
2 0 0
10 2
0 2 0
3 1 2
2 4 2
0 3 1
1 3 3
0 3 3
4 0 1
1 4 2
2 3 1
0 0 0
10 9
0 0 0
0 2 2
2 2 0
0 0 2
2 0 1
1 0 2
2 2 1
2 1 1
1 1 0
2 2 2
10 6
0 0 3
2 3 3
2 2 2
1 3 3
2 2 3
2 0 3
3 0 2
1 1 1
0 0 1
1 2 1
10 5
4 0 1
4 0 2
4 1 4
0 1 3
4 2 0
0 3 5
3 1 5
2 0 1
5 5 0
5 1 0
10 2
2 3 3
0 3 2
0 1 1
2 0 0
0 2 3
1 2 1
1 1 0
1 3 0
1 0 0
3 3 1
10 2
0 1 3
0 3 2
3 4 4
4 4 3
0 2 4
3 0 1
3 1 3
1 4 0
0 0 4
3 2 3
10 4
3 1 1
2 3 2
2 1 3
0 3 5
5 1 1
3 5 3
3 4 2
3 3 1
1 5 5
4 2 4
10 5
0 0 2
2 2 3
2 2 2
0 2 0
1 1 1
0 2 2
2 3 3
1 2 3
2 3 0
3 1 1
10 7
1 2 0
3 2 4
1 2 4
4 0 0
0 3 3
2 0 0
1 1 1
3 1 4
3 0 4
3 3 1
10 2
3 0 2
3 2 3
4 2 0
4 4 4
2 1 4
0 4 3
0 4 4
2 0 3
0 3 3
1 2 2
10 8
5 1 2
1 5 4
1 0 0
0 5 4
4 5 5
3 1 4
5 5 5
1 1 4
5 4 2
3 0 5
10 4
1 0 4
1 1 1
3 1 1
2 0 1
2 1 4
0 0 4
3 1 2
0 2 0
1 0 3
1 1 2
10 4
3 3 2
1 3 0
3 2 3
1 1 0
2 3 0
0 0 2
2 0 1
1 3 1
1 0 2
2 1 2
10 6
1 0 1
5 2 1
0 0 2
1 3 4
5 3 2
2 4 0
4 5 3
1 5 2
4 2 1
3 5 1
10 8
0 2 3
2 0 1
3 0 0
0 1 0
3 1 0
1 2 0
1 3 0
0 2 1
1 3 1
0 0 3
10 9
4 1 2
2 3 1
2 1 4
1 4 4
0 3 4
4 4 2
1 2 2
4 0 1
2 3 3
4 4 3
10 8
1 0 1
0 0 0
0 3 2
1 1 2
3 1 0
0 0 3
0 0 1
1 1 1
0 2 3
1 3 1
10 6
1 1 2
0 0 1
1 0 2
0 1 0
2 2 1
0 2 0
2 2 0
2 2 2
1 0 0
2 1 1
10 4
2 3 2
3 1 0
3 3 3
2 1 4
3 0 3
2 3 1
2 2 3
1 3 0
0 2 4
0 2 1
10 6
4 0 2
4 5 4
3 0 0
0 0 2
2 5 1
0 4 5
1 4 1
2 1 1
2 0 4
4 3 5
10 9
2 2 4
1 4 2
3 4 2
1 4 4
1 4 0
2 2 3
1 4 3
0 1 1
2 0 3
1 0 0
10 7
2 1 0
2 2 2
2 2 0
0 1 1
2 1 1
0 1 0
1 1 0
0 2 0
2 0 0
1 2 2
10 3
1 2 0
2 0 0
0 0 0
0 2 1
1 2 1
1 2 2
1 1 2
1 0 1
1 0 2
1 0 0
10 7
1 0 3
5 0 1
1 4 2
0 3 3
2 3 5
3 2 0
2 2 1
3 3 1
2 4 0
1 0 1
10 4
2 2 1
1 4 3
1 1 0
2 1 1
0 2 3
2 0 4
4 2 1
4 4 4
1 1 2
2 4 0
10 4
0 0 2
2 0 2
1 2 1
2 0 0
2 2 2
1 0 2
2 1 0
2 1 2
2 2 1
1 1 0
10 9
3 1 1
3 0 3
3 3 1
1 3 3
3 3 2
0 1 1
2 2 2
0 0 2
1 2 0
3 2 1
10 6
1 2 0
2 3 4
1 0 1
1 0 4
4 0 3
3 1 4
1 2 4
3 4 1
2 1 4
0 0 0
10 9
1 2 1
1 1 2
1 0 1
1 2 2
0 1 1
0 0 0
2 2 2
0 0 1
0 2 0
1 1 1
10 9
4 0 3
3 0 1
2 2 1
3 1 4
0 4 0
1 3 5
3 3 4
5 5 5
4 1 5
0 1 0
10 5
0 0 2
1 1 1
2 2 0
0 2 2
0 1 0
1 1 0
1 0 1
1 0 2
1 1 2
1 2 1
10 3
3 1 2
0 1 0
1 1 0
0 3 2
2 2 2
3 2 2
3 0 3
0 2 3
2 3 1
3 1 3
10 4
0 2 4
5 4 2
0 5 5
4 1 1
2 2 4
2 0 0
0 3 5
0 0 3
4 3 5
4 0 1
10 6
1 3 5
3 5 4
4 2 4
1 2 5
0 5 5
4 1 4
0 1 3
0 4 2
1 2 2
4 3 5
10 2
1 4 2
4 4 4
4 4 0
4 2 3
2 4 4
4 3 4
4 3 0
2 1 3
4 2 1
0 0 2
10 3
1 0 0
0 2 0
0 2 1
0 0 0
1 1 2
1 2 0
2 2 0
0 2 2
0 0 2
1 0 1
10 4
1 2 0
2 1 2
2 1 1
0 2 2
0 0 0
1 2 2
0 1 2
0 2 0
0 1 0
0 1 1
10 6
0 2 2
2 1 2
0 2 1
2 1 1
2 2 1
0 0 2
1 2 2
0 1 1
2 1 0
2 2 2
10 7
4 0 2
1 3 0
3 2 1
1 4 1
3 0 0
3 4 3
4 1 1
4 2 4
1 4 2
3 0 2
10 5
3 0 0
3 1 2
2 3 1
0 0 3
0 4 2
1 4 4
1 4 2
0 3 2
0 3 0
1 0 4
10 5
3 2 3
0 2 2
0 2 3
0 3 2
0 0 1
2 3 0
1 0 0
0 1 1
2 1 3
0 2 0
10 6
3 5 0
3 4 5
3 0 4
3 0 3
2 1 1
1 5 1
5 5 0
5 0 2
1 4 0
4 4 1
10 8
3 0 2
1 3 1
2 1 3
2 2 0
2 0 3
0 2 2
0 2 1
0 3 3
2 2 1
2 0 0
10 4
5 2 1
1 5 2
3 5 3
3 5 5
5 5 2
3 4 1
3 5 0
4 3 5
2 3 4
3 0 2
10 5
5 0 0
5 1 1
0 1 5
1 0 4
5 3 3
4 1 0
0 4 2
4 0 2
5 3 4
4 4 1
10 8
2 0 0
1 1 1
0 1 1
2 1 2
0 1 2
1 2 0
1 0 0
0 2 0
2 1 1
2 1 0
10 3
3 5 4
1 1 3
3 4 3
5 2 0
3 3 3
5 1 5
2 1 4
2 4 5
0 1 2
3 2 4
10 3
4 1 1
1 3 4
3 2 4
3 0 0
0 1 3
0 3 3
1 0 0
1 1 0
0 1 4
1 0 1
10 5
2 1 1
2 1 2
0 2 2
1 0 1
1 0 0
2 0 2
1 1 2
1 2 0
0 2 1
0 0 0
10 8
0 0 0
5 1 3
3 5 0
3 0 4
5 3 5
4 5 3
0 0 4
0 3 2
3 0 0
3 3 0
10 4
3 2 1
4 4 4
3 2 3
4 4 1
0 1 4
0 3 3
0 1 1
2 2 1
0 1 3
3 4 3
10 5
0 0 0
1 1 1
0 0 2
1 2 2
0 1 0
2 0 2
0 2 1
2 0 0
2 1 2
2 0 1
10 9
4 1 5
2 5 0
2 1 4
3 4 4
1 2 3
0 5 0
1 3 3
5 1 0
1 1 2
3 3 4
10 4
2 1 0
1 1 2
0 1 1
0 0 2
0 2 2
1 0 0
1 0 1
1 2 1
2 0 2
2 0 0
10 3
0 1 0
3 0 1
4 1 0
0 0 3
2 1 3
2 0 0
4 2 0
1 4 3
2 0 4
3 4 0
10 7
2 3 2
2 4 1
2 0 0
4 0 2
2 2 2
0 1 2
0 4 1
2 0 2
0 4 2
4 0 1
10 6
0 2 0
3 2 4
2 2 1
4 1 2
2 1 4
0 1 0
2 2 3
2 0 0
0 4 0
0 4 1
10 6
1 0 0
2 3 1
3 2 0
3 3 2
1 3 2
3 0 0
2 1 1
1 2 1
0 2 0
0 1 0
10 8
1 1 4
4 0 1
4 0 2
1 1 1
3 2 2
0 2 1
1 0 3
3 3 3
1 2 3
0 3 1
10 2
2 0 0
1 1 0
0 0 0
0 0 1
1 0 2
2 0 1
1 1 2
0 1 1
1 2 1
2 1 1
10 3
2 0 2
1 2 1
0 2 1
2 1 0
0 0 0
1 1 0
0 0 2
0 1 0
1 1 2
1 2 2
10 3
3 0 2
2 4 1
1 4 4
4 3 2
1 0 3
0 2 1
2 0 1
0 2 0
4 0 0
2 3 4
10 8
3 1 0
2 0 3
2 2 1
0 1 3
3 0 1
1 2 3
0 2 0
0 2 3
0 2 2
2 1 2
10 4
1 1 0
4 1 2
0 3 0
0 4 0
2 0 3
2 4 1
3 2 4
0 0 4
3 0 4
4 0 2
10 6
0 2 0
1 0 2
0 2 2
1 2 1
1 1 1
2 2 1
1 2 0
2 1 1
2 0 2
1 1 0
10 4
2 3 1
2 4 1
4 3 5
0 3 2
2 2 1
0 5 1
5 2 4
3 2 1
3 5 2
5 4 4
10 5
5 2 3
5 3 3
0 5 3
1 0 1
1 0 5
5 2 4
0 2 3
4 1 2
1 3 1
4 3 1
10 7
3 0 3
1 0 0
0 3 3
1 2 2
1 2 1
1 0 1
3 3 2
1 3 0
2 2 3
0 0 3
10 7
2 3 3
1 0 1
0 2 1
2 0 3
3 2 0
1 1 0
2 3 1
1 1 1
1 2 3
3 3 3
10 6
1 3 1
2 0 2
1 1 3
0 2 0
2 1 2
0 1 2
2 3 1
0 2 3
3 0 3
3 2 3
10 3
4 4 2
4 3 2
2 0 3
1 1 3
2 5 4
3 5 2
1 4 5
5 4 0
2 5 5
5 2 3
10 5
1 2 2
5 3 4
0 0 4
1 4 5
0 1 1
1 0 2
3 2 2
2 0 1
0 1 2
3 5 5
10 8
1 3 3
0 3 1
0 2 2
1 0 2
3 0 3
1 2 0
3 1 2
2 0 2
3 0 2
2 0 0
10 4
2 1 0
0 0 0
0 0 2
0 1 1
2 0 1
2 2 2
1 2 0
2 1 2
1 0 2
2 2 1
10 7
1 0 4
2 4 1
4 1 3
4 1 1
1 1 3
2 4 4
3 2 4
3 1 1
3 4 3
3 1 0
10 5
2 1 1
0 1 1
0 0 0
0 1 0
1 1 2
1 1 0
1 2 1
1 2 2
0 2 2
2 1 2
10 6
2 2 1
0 2 1
0 0 0
0 2 2
2 1 0
1 1 0
0 0 2
1 1 1
0 1 1
1 2 1
10 4
0 2 1
0 1 0
2 0 0
0 1 1
2 2 2
1 1 1
2 0 2
1 1 0
2 1 0
1 0 0
10 9
2 1 0
1 1 2
0 1 0
0 2 1
1 0 1
2 1 2
1 1 0
0 0 1
2 2 2
0 1 2
10 8
3 0 2
4 0 0
2 3 0
1 1 0
2 0 3
3 3 3
1 3 0
4 3 0
4 0 4
0 2 1
10 8
2 2 1
1 1 0
2 2 2
0 0 0
2 1 2
1 0 1
0 1 2
2 1 1
0 0 1
0 2 1
10 9
0 0 2
3 0 1
2 1 0
1 1 2
3 2 2
0 1 1
3 0 0
1 2 0
1 3 2
2 2 0
10 5
0 1 1
4 2 2
0 2 4
2 0 4
1 3 3
3 2 1
4 3 1
0 2 0
1 1 3
1 3 2
10 8
2 1 3
1 0 0
2 0 2
2 3 1
2 0 0
0 0 3
1 0 1
1 3 3
0 0 2
3 3 1
10 5
2 3 1
0 0 4
3 3 0
0 3 1
1 1 0
3 4 0
3 4 3
4 4 4
2 2 4
2 3 3
10 5
2 2 2
1 4 2
1 3 3
0 2 0
4 3 1
1 4 3
3 0 0
1 3 2
2 4 3
1 2 4
10 4
3 3 4
4 1 1
4 0 4
1 4 3
2 2 1
0 0 4
4 3 3
4 4 3
4 1 0
4 3 1
10 4
2 0 1
0 0 1
1 2 1
0 0 0
1 2 0
1 2 2
2 0 0
2 2 2
1 0 0
0 1 1
10 7
1 1 2
0 2 2
1 2 3
1 3 0
3 1 1
2 2 1
2 0 2
1 0 0
0 0 0
2 1 3
10 8
2 0 5
3 2 4
3 4 0
3 0 5
5 1 4
0 2 1
5 0 0
2 2 2
4 2 2
4 0 3
10 7
0 5 1
0 1 5
5 2 3
3 2 5
4 5 1
0 0 2
3 5 1
1 3 1
5 1 4
2 4 5
10 7
0 3 3
3 1 4
0 3 1
4 2 1
3 2 1
2 4 3
3 0 3
4 0 0
3 4 1
4 3 2
10 6
0 0 1
3 5 5
5 1 3
3 0 0
4 0 3
5 0 0
1 1 5
3 1 3
3 2 3
3 2 1
10 2
2 0 2
1 2 1
2 0 0
1 1 0
2 2 0
1 1 1
2 2 2
1 2 0
2 0 1
2 2 1
10 7
3 3 4
0 1 4
2 3 4
3 4 4
0 4 1
1 2 2
4 3 3
4 1 2
2 3 3
2 2 4
10 8
2 0 2
0 1 0
0 1 2
0 0 0
0 1 1
1 1 0
0 0 2
0 2 1
2 0 1
0 0 1
10 2
2 3 2
3 1 2
0 2 0
0 2 2
0 0 0
0 2 3
2 1 0
0 1 1
1 0 3
0 1 0
10 6
1 2 0
0 2 2
2 2 2
0 2 1
1 1 0
2 1 3
1 2 2
2 2 1
3 0 1
0 1 3
10 5
3 3 1
1 3 1
2 1 0
0 1 3
2 1 2
3 0 2
0 2 1
3 3 2
1 1 3
2 3 0
10 4
4 2 2
0 3 0
0 1 0
2 4 3
2 2 3
4 2 0
0 3 4
4 4 0
0 0 2
0 2 4
10 9
4 1 0
2 1 2
1 2 4
3 1 2
3 0 4
2 0 0
0 4 2
4 4 1
3 3 0
0 4 3
10 6
2 3 1
0 2 3
0 0 3
3 2 2
3 0 1
3 2 3
2 2 0
0 1 1
3 1 3
1 1 0
10 8
1 3 2
2 3 4
4 3 0
4 1 1
4 0 2
0 4 4
2 0 4
0 4 0
4 1 3
4 3 4
10 7
4 2 3
5 5 5
1 2 3
4 1 1
5 1 1
0 5 3
3 3 3
5 5 2
0 1 2
0 4 4
10 9
0 0 1
3 0 1
0 0 0
0 2 0
2 1 0
1 1 0
3 3 2
1 2 3
3 2 3
3 2 1
10 6
5 5 4
1 5 3
5 3 3
2 2 1
0 3 0
1 1 1
4 5 5
1 3 3
4 1 5
3 5 4
10 6
0 1 1
1 2 3
4 3 1
2 3 2
2 4 4
3 0 3
4 1 3
0 0 0
3 2 1
1 4 1
10 3
1 0 1
4 4 0
1 3 3
3 0 0
3 1 4
3 1 0
2 0 0
0 2 0
2 4 1
2 0 1
10 5
0 1 4
4 1 3
3 3 0
2 1 3
3 0 0
2 4 4
0 3 4
1 2 2
1 1 2
2 3 3
10 2
1 3 3
2 0 2
1 3 0
2 1 0
1 1 1
3 0 2
3 0 1
0 0 3
2 1 1
0 3 1
10 2
1 0 2
3 1 1
1 0 1
0 3 1
2 2 0
0 2 2
0 0 1
2 0 1
0 0 2
0 3 0
10 9
3 3 2
2 0 0
2 0 3
2 0 2
0 1 0
1 1 0
1 1 3
2 1 1
0 2 1
0 0 3
10 3
4 1 0
1 1 4
3 0 2
3 0 3
4 0 3
0 4 2
3 0 0
1 4 2
0 2 3
3 1 2
10 3
0 0 2
2 0 2
2 2 1
0 0 1
0 2 2
1 1 2
1 2 2
0 1 0
0 1 2
2 1 0
10 4
1 2 1
4 0 4
2 0 2
2 4 0
3 3 1
2 2 1
1 0 0
0 2 1
2 2 2
3 2 0
10 9
0 5 5
4 3 2
3 2 3
3 5 2
2 5 3
4 3 0
3 4 3
1 5 4
5 2 3
3 2 1
10 4
0 0 1
3 4 1
1 4 0
0 0 4
4 4 0
1 2 1
0 0 2
2 4 1
3 4 0
2 0 0
10 3
1 2 0
2 3 1
5 4 4
1 5 1
2 0 4
1 5 5
0 1 5
3 1 5
4 0 1
4 5 2
10 4
2 1 5
1 3 2
1 5 3
3 3 5
0 3 2
3 5 4
2 0 4
2 1 3
4 0 2
4 4 3
10 7
2 3 2
3 1 0
2 0 1
2 2 0
2 2 1
1 1 3
0 2 2
1 3 3
0 3 0
3 1 1
10 8
0 0 1
1 2 1
1 1 0
2 2 2
2 1 1
0 2 1
2 1 0
0 2 2
2 0 0
0 0 0
10 9
2 2 1
1 2 2
0 1 1
2 1 0
1 1 0
2 0 0
2 0 1
1 0 2
0 0 0
2 2 0
10 2
1 1 0
1 0 0
0 2 0
2 2 1
2 0 2
1 0 1
0 0 2
2 1 2
1 1 1
0 2 1
10 6
1 1 0
2 2 1
1 2 0
0 1 0
2 0 2
0 1 2
1 1 2
1 0 0
1 0 1
0 0 1
10 4
0 1 0
2 0 2
0 1 1
0 0 1
1 2 1
2 2 1
2 2 2
1 0 2
1 2 2
0 1 2
10 4
3 0 1
0 0 2
4 1 1
1 4 2
3 0 4
3 3 2
4 1 4
1 0 0
1 0 4
2 2 1
10 8
3 3 1
3 3 5
2 3 0
4 5 0
2 1 0
5 1 2
1 2 4
4 1 0
4 0 1
0 4 0
10 9
3 0 1
0 2 0
1 3 3
1 1 2
2 0 0
3 3 1
0 3 3
0 0 3
1 3 1
3 1 3
10 3
5 5 2
2 0 1
1 5 5
2 2 3
4 3 2
0 3 4
4 2 4
1 3 1
0 1 5
5 3 1
10 4
3 1 3
3 0 0
0 0 5
2 3 3
2 4 1
5 4 4
4 4 4
4 2 5
3 2 1
2 0 1
10 5
0 0 0
2 2 0
2 1 0
2 0 2
2 0 0
0 0 2
1 2 0
1 1 2
0 1 1
0 2 0
10 3
1 2 1
0 1 1
0 0 1
1 1 2
1 0 1
0 2 0
1 2 0
2 1 1
2 1 0
2 1 2
10 8
2 1 3
3 1 2
2 0 1
0 0 3
3 0 1
1 1 2
3 2 2
1 2 1
2 3 2
2 3 0
10 8
1 2 0
1 0 1
1 1 1
0 1 1
1 1 0
1 0 2
1 0 0
0 0 1
1 2 2
0 1 2
10 7
2 2 2
0 2 1
2 0 1
0 1 1
0 2 2
1 0 0
1 1 2
0 0 2
1 1 1
2 0 2
10 4
0 1 3
2 3 2
4 2 1
3 0 4
4 4 3
2 0 1
1 1 0
0 0 1
4 1 2
3 4 0
10 5
2 2 0
0 2 2
2 2 1
1 0 0
2 0 0
0 1 1
0 0 0
1 1 1
0 1 0
1 2 1
10 8
0 0 0
1 1 1
0 0 1
1 1 0
3 2 1
0 1 0
2 3 3
2 0 3
1 1 3
1 1 2
10 7
0 1 3
1 0 0
2 1 2
2 1 1
3 0 2
2 3 2
0 2 0
1 2 0
3 3 0
0 2 1
10 5
2 0 2
2 0 0
2 2 2
2 2 0
2 1 0
2 1 2
1 1 1
1 2 1
1 0 0
0 0 0
10 6
5 1 4
1 0 0
4 3 2
2 3 1
5 5 5
3 1 2
3 3 5
2 2 3
3 3 0
0 0 5
10 4
0 1 1
2 2 2
2 0 0
1 0 2
0 0 1
1 1 1
1 2 0
2 1 0
0 1 2
1 0 0
10 8
2 2 1
1 2 1
0 2 2
2 1 0
0 0 1
2 0 2
2 1 1
1 0 2
1 1 0
0 2 1
10 6
1 0 2
4 4 1
2 3 1
4 4 3
4 4 4
4 1 1
1 1 3
3 2 3
3 4 3
2 0 1
10 8
0 2 2
1 1 2
0 4 1
4 0 2
2 3 4
2 2 1
2 1 1
2 2 0
3 4 0
0 4 4
10 7
0 2 0
1 2 1
0 2 2
0 1 2
1 1 1
0 0 1
0 0 0
2 1 2
0 0 2
2 1 0
10 7
0 0 4
0 4 1
2 3 4
3 1 2
0 2 4
4 1 2
1 0 1
1 3 2
2 2 1
0 3 4
10 6
1 2 3
3 0 0
0 1 1
3 1 0
1 1 0
0 0 1
1 3 0
2 3 1
2 0 3
3 0 3
10 5
3 2 1
3 0 3
2 3 1
0 3 0
2 0 0
1 3 0
2 0 1
1 2 1
0 3 3
1 0 0
10 6
1 0 4
3 1 0
5 5 2
3 0 3
4 5 4
0 4 3
1 1 3
2 2 2
1 2 5
3 1 2
10 8
1 3 1
1 2 1
3 1 0
3 3 1
2 2 2
3 1 1
1 2 3
0 0 2
0 2 0
1 0 1
10 9
2 0 2
2 2 2
1 0 0
0 0 1
2 1 1
0 1 1
1 1 1
0 0 2
1 1 0
0 2 1
10 7
3 1 4
4 3 0
2 0 4
3 0 1
1 2 0
4 3 3
3 1 2
4 1 4
2 0 1
1 1 2
10 7
3 3 2
4 3 0
1 0 0
0 0 3
0 3 4
4 1 3
1 0 4
3 3 0
4 2 1
0 4 1
10 9
5 3 3
5 1 4
4 2 2
3 3 4
2 5 2
0 5 0
4 3 2
1 4 0
3 5 4
4 0 3
10 5
3 0 3
1 1 3
2 1 3
3 0 1
3 2 2
0 1 1
0 2 3
1 2 3
2 3 2
1 3 2
10 7
3 1 0
3 2 3
1 0 2
1 2 2
0 0 0
2 1 1
3 2 1
1 3 3
2 1 0
3 0 2
10 9
1 1 2
1 2 1
2 2 1
0 2 1
2 2 2
2 0 0
0 2 2
1 1 1
0 0 1
1 0 1
10 7
1 0 4
3 4 1
2 1 0
0 5 1
1 1 5
5 4 1
2 0 2
4 0 1
0 3 1
0 2 4
10 4
3 2 1
2 0 0
1 2 2
3 2 2
2 3 3
0 2 0
0 1 0
3 1 3
3 1 1
3 1 2
10 3
3 0 3
0 4 4
4 2 3
0 4 3
5 3 5
2 4 1
3 5 5
0 2 3
4 0 0
4 0 5
10 5
1 0 2
0 1 2
0 0 2
0 1 1
2 0 2
1 0 1
1 1 1
2 2 0
2 0 0
0 2 0
10 5
2 5 1
0 1 5
5 1 2
5 0 3
0 3 5
4 0 0
1 3 3
0 0 2
4 4 3
3 2 2
10 2
2 1 0
1 1 0
0 0 2
0 1 2
0 2 0
1 0 2
1 1 1
0 1 0
2 0 0
1 2 1
10 5
3 1 1
2 1 2
3 0 0
1 2 2
2 3 3
3 2 1
2 0 0
2 2 1
2 1 1
1 0 0
10 7
2 0 1
2 1 0
0 2 2
1 2 1
1 0 1
0 0 1
0 1 2
2 1 1
2 0 0
0 0 2
10 5
1 1 2
2 1 0
0 1 0
2 0 0
0 0 2
1 1 1
2 0 1
0 2 0
0 1 1
0 0 1
10 6
0 1 2
2 1 3
2 1 1
0 2 3
0 2 0
0 3 3
1 0 3
0 0 2
1 4 0
0 0 1
10 7
1 4 1
0 2 2
4 4 1
1 4 0
2 3 2
3 3 1
4 2 4
4 0 0
0 2 4
4 2 3
10 3
2 2 0
0 0 2
0 1 2
1 1 2
2 0 1
2 1 2
1 2 0
0 2 2
0 1 1
0 1 0
10 6
1 3 3
2 0 5
4 0 2
3 4 1
4 4 0
2 1 1
1 5 5
0 3 1
2 1 0
5 3 3
10 4
3 0 3
3 0 0
3 3 0
1 2 4
2 3 3
2 0 4
4 1 0
3 2 2
2 4 3
0 4 4
10 8
1 2 0
0 2 1
2 1 0
1 0 0
0 1 1
2 2 2
2 2 0
1 1 0
2 1 1
1 0 1
10 2
1 1 4
5 1 1
0 2 2
0 4 4
5 3 1
4 5 5
1 0 1
2 5 5
1 0 0
4 4 0
10 7
2 1 2
0 1 2
0 0 1
0 1 0
1 1 2
2 1 1
0 0 2
0 2 1
2 0 2
1 0 2
10 9
2 4 4
1 4 2
1 3 3
1 3 1
0 2 0
0 1 2
2 2 3
4 1 1
0 3 1
4 1 0
10 2
2 1 2
0 0 3
4 3 4
4 4 3
4 4 2
3 0 3
1 0 2
4 4 1
1 0 3
4 3 2
10 5
0 2 1
1 1 1
1 0 2
2 2 1
1 0 0
1 0 1
2 0 1
2 1 1
0 0 2
2 2 2
10 4
3 0 1
0 3 3
1 3 2
3 3 1
2 1 0
2 2 2
2 0 2
3 1 2
0 2 2
2 2 3
10 7
2 0 0
0 3 1
3 3 4
1 0 2
3 3 1
3 1 1
3 0 3
0 3 4
3 0 1
4 4 0
10 3
0 1 3
1 2 3
2 1 0
3 3 2
3 0 1
1 1 1
0 2 0
1 3 0
2 1 2
2 1 1
10 7
0 2 4
0 4 5
4 1 0
1 0 5
5 0 1
0 2 0
3 1 2
3 5 3
0 3 0
4 0 1
10 9
4 2 3
2 2 0
0 3 0
0 0 1
3 2 1
1 3 4
3 1 3
1 1 3
4 2 4
1 3 3
10 2
3 2 3
1 0 0
3 0 3
2 0 2
2 3 0
3 0 0
1 2 2
2 2 3
3 2 0
1 1 2
10 9
1 3 0
3 1 3
3 3 3
1 3 2
0 0 1
0 1 3
2 2 2
0 2 3
1 0 1
2 3 3
10 2
0 0 0
1 1 3
0 2 1
0 0 2
1 0 0
2 0 1
2 2 3
1 0 2
2 2 0
3 1 0
10 2
0 2 1
2 1 1
0 2 2
1 0 0
0 2 0
2 0 2
1 2 1
0 0 2
0 1 1
0 0 0
10 8
2 0 1
1 1 0
0 1 2
1 2 1
0 2 1
2 0 2
0 1 0
0 0 0
2 1 0
1 1 2
10 7
4 3 4
4 2 3
0 0 1
4 2 1
5 1 5
4 2 4
0 0 4
1 3 3
0 5 4
3 4 3
10 5
1 1 0
0 0 3
0 3 1
3 3 0
0 2 3
1 3 1
2 0 0
2 2 3
2 2 2
1 2 1
10 6
2 1 0
3 3 0
1 3 3
0 3 3
3 2 0
3 2 2
0 1 0
3 0 1
3 0 2
1 3 2
10 3
1 3 0
3 4 0
1 0 1
0 4 3
2 4 2
1 0 4
2 4 0
4 3 1
3 2 4
1 4 0
10 3
0 1 1
4 0 3
1 3 0
1 0 2
4 2 2
0 2 1
4 4 2
3 4 0
3 2 3
2 2 3
10 4
0 1 2
1 1 0
1 0 0
0 0 2
1 2 0
2 2 1
2 1 0
0 1 0
2 2 2
2 0 1
10 7
1 2 5
1 3 4
3 4 0
2 0 1
0 5 0
0 2 0
2 2 5
3 4 4
2 4 3
3 2 5
10 5
1 2 1
2 2 0
2 2 2
1 2 0
1 1 2
2 0 2
1 1 1
2 0 1
2 1 1
1 0 2
10 3
1 2 1
2 0 2
0 0 0
1 1 2
2 1 2
2 1 0
1 1 1
1 0 1
2 0 0
2 2 1
10 8
1 3 4
0 2 1
3 2 2
2 0 0
4 3 3
3 2 1
1 2 4
3 1 1
1 1 3
1 1 4
10 4
4 4 1
0 2 1
0 1 1
4 1 5
5 4 1
3 5 1
5 4 2
1 3 2
3 5 3
0 1 0
10 7
0 2 1
1 2 0
2 1 1
0 2 2
1 0 0
0 0 0
2 2 1
1 2 1
0 0 2
0 0 1
10 3
2 2 0
3 0 0
1 3 3
0 3 1
3 1 0
2 0 2
0 1 2
2 2 1
1 3 1
1 0 1
10 2
1 0 3
1 1 2
1 0 0
0 0 3
1 2 0
0 3 1
2 3 3
0 1 2
0 3 0
0 2 0
10 9
2 2 1
0 1 2
1 0 1
2 0 2
2 2 0
0 1 0
1 2 1
1 1 2
0 2 2
2 1 2
10 9
3 3 3
4 2 3
3 1 0
4 4 0
0 4 4
3 2 2
4 2 4
4 2 2
4 4 1
4 0 0
10 7
2 1 3
0 1 5
3 3 4
2 4 0
5 5 2
0 3 1
3 4 2
0 4 2
4 1 2
0 2 0
10 5
1 1 1
2 2 2
0 0 2
2 1 2
0 2 0
0 0 1
2 0 0
0 2 1
2 0 2
0 1 1
10 3
0 0 0
0 0 2
2 2 0
1 2 0
2 2 2
1 0 2
0 1 2
1 0 1
2 1 2
0 2 2
10 9
1 2 1
0 0 0
1 1 0
0 2 1
2 1 0
2 2 2
2 1 2
1 2 0
0 1 2
0 0 2
10 6
1 2 0
1 3 2
2 0 0
4 3 1
2 1 4
3 1 4
1 0 4
3 3 0
0 3 1
1 0 1
10 2
2 0 0
1 0 0
1 2 2
2 2 2
0 1 0
0 2 0
0 0 2
0 2 1
1 2 1
1 0 2
10 8
1 1 1
2 2 4
3 4 3
4 1 4
1 0 1
0 4 3
2 0 3
4 1 3
4 1 0
4 2 3
10 6
1 4 4
1 3 2
1 3 3
0 3 3
4 2 4
2 4 3
4 4 4
1 3 4
2 2 4
3 2 4
10 5
0 0 2
0 4 2
4 0 1
2 1 2
4 0 2
4 3 3
0 4 3
3 1 0
2 4 3
2 2 4
10 3
1 2 1
0 1 2
1 0 0
0 0 0
1 0 1
0 1 1
2 2 0
1 2 0
1 0 2
1 1 1
10 3
1 2 2
1 1 0
0 1 1
3 0 1
3 2 2
2 0 2
0 1 2
1 3 0
2 2 1
1 0 1
10 2
0 4 0
4 2 4
2 2 4
3 0 0
3 0 1
0 4 4
1 0 1
1 4 4
4 2 0
0 0 2
10 3
4 2 2
0 1 3
0 3 4
1 3 3
0 2 4
0 4 1
2 0 0
4 2 3
3 3 3
4 4 1
10 5
5 5 4
1 2 0
4 1 3
2 4 0
1 1 1
0 4 3
0 3 3
4 5 4
2 0 5
4 1 2
10 6
0 4 0
5 0 0
5 0 5
4 0 2
2 2 3
4 2 1
3 4 0
3 1 4
5 1 2
5 1 1
10 8
3 0 4
0 2 4
4 2 3
0 2 2
2 2 3
2 4 4
0 4 1
1 4 0
1 0 4
4 2 4
10 3
2 1 4
2 1 2
1 2 3
3 0 1
1 1 4
1 4 3
1 3 2
4 1 0
4 4 1
0 4 2
10 6
1 0 1
2 0 1
0 1 2
0 0 1
1 2 0
2 1 0
0 2 2
0 0 2
1 1 0
1 1 2
10 2
0 3 2
2 1 2
1 1 0
2 0 3
2 1 0
2 3 2
2 2 2
3 1 3
0 1 3
3 1 0
10 2
0 3 4
2 4 4
2 0 1
4 0 4
0 3 1
2 3 2
4 4 1
0 3 2
2 4 3
0 1 1
10 6
3 1 3
2 2 3
0 2 2
1 3 3
0 1 2
1 0 2
2 1 0
2 0 0
2 2 1
3 2 2
10 5
1 4 3
3 0 0
4 0 2
4 4 2
1 4 2
4 0 4
2 1 3
1 1 0
4 1 4
0 0 2
10 4
0 1 0
2 2 0
0 1 1
0 0 1
2 1 2
0 1 2
0 2 2
2 0 0
1 2 2
1 1 1
10 5
1 2 2
2 0 0
0 2 0
2 1 0
0 1 2
0 0 0
2 1 1
1 0 0
0 2 1
1 2 1
10 5
2 3 0
3 2 3
2 2 0
3 1 1
1 3 3
1 1 0
3 3 3
3 2 2
2 1 2
2 2 3
10 8
1 0 0
2 3 3
0 1 3
1 2 1
1 3 0
1 1 2
3 1 2
1 1 1
0 2 3
2 0 0
10 3
5 1 0
2 5 1
4 5 4
1 3 3
0 0 5
4 1 3
5 4 4
3 1 4
3 3 5
2 5 0
10 6
2 3 3
1 0 0
0 1 2
2 0 1
2 2 2
1 0 1
1 0 2
0 1 3
2 0 0
3 2 0
10 3
5 1 4
4 2 3
5 5 2
5 3 0
3 3 3
2 0 1
1 4 2
3 2 5
5 1 2
5 3 2
10 3
3 0 0
3 1 1
3 1 2
0 1 1
0 3 2
0 1 0
3 0 2
2 3 1
2 1 3
2 3 2
10 5
2 2 3
2 2 1
4 1 3
3 3 0
1 4 4
1 3 0
2 3 0
4 4 0
2 2 2
3 1 4
10 3
3 1 0
1 1 2
2 2 0
2 3 3
4 0 2
2 4 2
3 1 1
3 0 3
2 1 0
0 3 2
10 7
0 0 1
2 2 1
2 1 2
1 0 2
1 1 0
0 2 1
2 1 0
1 1 2
2 0 1
0 0 2
10 6
5 2 0
0 5 2
2 4 1
3 4 4
3 4 5
5 5 5
3 2 2
5 5 0
0 1 3
5 1 4
10 3
1 3 0
2 4 1
1 0 0
4 0 3
2 3 1
3 2 0
3 1 2
4 1 2
1 0 1
3 2 2
10 8
0 0 2
0 1 1
2 0 2
0 2 0
1 1 0
1 1 2
1 1 1
0 1 2
0 2 2
2 2 0
10 5
1 0 1
0 2 0
1 2 0
1 0 0
0 1 0
1 0 2
0 0 1
2 0 1
2 0 0
0 2 2
10 7
0 2 1
1 1 1
3 0 2
1 1 0
0 2 4
4 4 2
1 1 3
0 1 4
2 0 2
3 3 0
10 5
4 4 0
5 5 5
2 4 5
3 1 4
0 1 1
3 4 0
5 2 0
4 0 0
0 0 5
0 3 0
10 8
3 1 2
2 1 0
1 3 0
2 1 1
2 3 3
0 3 1
2 2 0
3 3 2
2 3 1
0 1 1
10 9
4 3 3
0 2 2
3 3 4
1 1 2
2 3 4
3 0 2
1 4 2
0 1 1
3 2 1
4 4 4
10 2
2 2 2
0 2 1
2 2 3
3 1 3
3 2 2
3 1 0
3 3 2
2 3 2
2 0 1
1 3 3
10 6
2 0 0
2 4 2
1 2 0
0 2 0
3 1 4
0 0 0
3 4 0
0 3 2
3 0 4
4 3 1
10 5
0 2 0
3 1 3
1 0 3
0 1 1
3 1 0
1 3 2
3 3 3
3 0 1
0 3 3
3 0 3
10 2
0 0 1
2 0 2
2 2 0
0 1 0
2 2 1
0 2 0
1 0 2
2 0 1
0 2 1
1 1 1
10 9
3 2 4
2 3 3
2 3 0
1 1 2
4 0 3
1 3 0
3 3 1
1 1 0
3 4 3
4 3 3
10 3
0 0 1
1 0 1
0 0 0
0 2 2
2 1 1
2 2 2
0 2 1
1 0 0
2 1 0
1 1 2
10 3
2 1 0
0 0 2
2 1 2
1 1 2
0 0 0
0 2 2
2 2 0
2 0 1
1 2 1
0 1 0
10 3
3 3 0
2 1 2
3 0 0
3 0 2
2 2 2
0 0 0
2 0 0
0 3 0
0 3 1
2 3 0
10 2
1 1 0
2 2 3
1 2 2
1 0 1
1 3 2
0 3 1
1 3 1
2 0 0
1 2 3
3 3 3
10 7
2 2 2
1 0 0
1 2 1
0 0 1
0 1 0
2 0 2
2 0 1
0 2 2
1 0 1
2 1 2
10 6
2 0 5
1 1 5
5 1 1
0 4 5
1 1 3
4 1 4
5 5 3
5 5 4
4 3 1
0 1 1
10 5
3 0 3
3 1 5
2 3 0
1 0 0
1 0 5
4 0 4
1 3 0
1 3 2
4 2 3
3 2 2
10 2
1 0 0
3 3 0
0 2 0
4 3 3
1 3 4
1 2 4
2 2 4
1 2 0
3 1 2
0 3 3
10 5
1 3 4
3 2 3
1 4 0
2 3 4
3 2 0
2 2 3
4 4 4
2 4 1
4 0 0
3 1 2
10 8
0 0 0
3 1 1
3 3 1
1 0 3
3 0 3
1 0 0
1 3 1
4 1 2
2 2 2
3 4 0
10 8
4 2 1
2 0 1
4 0 3
2 1 1
4 1 1
0 0 3
4 1 0
1 4 2
0 0 1
1 4 3
10 6
5 1 3
5 5 3
3 0 4
4 3 0
4 4 3
3 0 2
0 0 1
2 1 2
1 2 0
5 5 4
10 7
3 3 2
3 5 2
5 1 1
4 3 5
4 3 1
5 4 0
2 2 1
0 4 3
2 0 3
5 2 4
10 2
5 5 4
3 5 3
4 5 5
3 0 2
0 2 3
0 2 5
0 0 4
0 1 2
0 5 5
5 4 4
10 8
1 0 0
0 1 0
0 1 1
0 2 0
1 2 0
1 2 2
2 1 1
0 0 0
2 0 2
2 1 0
10 5
4 1 1
1 4 5
0 4 3
3 1 5
0 2 0
5 5 5
0 4 4
5 5 4
1 5 4
4 1 5
10 2
1 0 4
0 2 1
4 1 4
2 0 0
3 3 1
4 4 0
3 0 2
4 1 3
2 3 0
2 3 2
10 2
4 3 4
2 2 1
2 3 5
4 3 1
5 1 2
0 2 4
4 0 0
4 1 3
2 5 4
5 4 2
10 3
2 0 0
2 3 1
0 0 2
2 2 0
1 2 3
0 0 1
3 0 0
1 1 1
0 3 0
3 2 0
10 2
0 1 2
2 3 4
2 1 4
0 1 3
1 2 0
2 4 4
1 2 1
3 1 0
1 3 2
1 4 3
10 8
1 0 0
2 1 2
0 1 1
1 0 1
1 1 1
1 2 1
0 2 2
0 0 0
0 0 1
0 2 0
10 7
3 1 1
2 2 1
2 2 5
5 1 2
1 4 0
1 5 1
4 1 2
5 2 5
2 3 0
3 1 4
10 7
1 0 1
0 0 3
0 3 1
3 3 1
2 0 1
2 3 3
1 0 0
0 2 0
1 1 3
0 2 1
10 4
0 2 3
2 2 3
1 0 0
2 1 3
1 1 2
0 0 3
3 1 1
3 3 2
2 0 1
1 2 2
10 4
5 3 1
5 3 5
2 1 0
4 0 5
0 5 5
4 5 5
1 2 5
2 5 3
0 4 3
5 5 2
10 9
2 3 0
3 0 3
2 2 0
0 2 0
1 3 2
3 2 3
1 2 0
2 1 2
0 0 3
2 3 1
10 6
0 3 0
0 2 3
3 3 1
3 1 2
3 0 2
2 2 0
0 1 2
3 2 3
0 1 1
3 0 0
10 4
0 2 4
1 3 3
4 4 0
3 0 0
0 2 2
0 1 3
3 1 3
4 4 1
1 4 2
4 4 4
10 5
4 2 3
2 0 2
2 2 0
2 5 2
4 3 1
1 5 4
4 1 0
2 1 3
0 3 4
5 3 4
10 9
2 2 2
1 2 2
1 1 0
0 0 1
2 2 0
0 2 2
1 2 1
0 1 1
0 0 0
2 0 2
10 2
2 0 1
2 1 2
2 2 1
0 2 1
2 2 2
1 2 0
0 2 2
1 0 0
1 1 1
1 1 0
10 7
2 1 4
1 0 0
4 2 2
2 4 0
4 0 2
4 3 0
0 2 4
3 1 0
0 3 3
2 0 4
10 7
3 1 3
1 0 3
0 0 0
1 3 3
2 1 1
0 3 0
3 0 2
2 2 3
3 0 1
3 2 0
10 3
1 1 2
2 0 1
0 1 0
1 1 0
0 0 2
0 1 1
2 2 2
0 2 1
2 0 0
0 2 0
10 5
0 0 1
0 1 1
0 1 3
0 3 0
3 2 0
2 3 3
1 1 0
1 0 3
3 2 2
3 1 3
10 3
2 0 2
1 3 3
1 1 1
2 2 2
3 0 2
3 2 3
2 1 1
0 0 1
3 3 0
2 2 3
10 8
2 2 1
2 2 2
0 2 0
2 0 0
1 0 2
0 1 0
2 1 2
1 0 1
2 2 0
1 2 2
10 9
3 2 1
0 4 2
2 4 0
3 5 2
3 3 1
2 3 2
4 0 3
2 0 5
1 3 2
2 1 0
10 3
3 2 1
3 3 3
0 2 1
2 2 1
1 1 2
0 1 3
1 0 3
3 1 1
3 0 0
1 2 0
10 9
0 0 2
0 0 0
2 1 0
1 1 0
2 2 2
0 0 1
0 2 1
0 2 0
0 2 2
1 0 0
10 9
1 0 0
0 5 5
0 0 0
1 2 1
1 1 5
0 5 1
2 5 1
0 1 5
4 4 1
3 5 1
10 7
1 2 0
2 1 2
1 0 0
0 0 2
0 2 0
0 2 2
1 1 0
1 1 1
1 0 2
2 0 0
10 6
3 1 4
0 2 1
4 1 1
0 3 2
0 0 1
2 1 4
1 2 0
0 3 1
4 0 3
2 0 1
10 3
3 1 0
1 3 3
0 1 1
2 1 0
2 3 0
1 1 1
3 1 4
1 1 3
0 1 0
2 4 2
10 2
2 2 1
0 0 2
2 1 0
0 1 2
1 0 1
0 2 2
0 1 1
0 2 0
2 2 0
1 0 2
10 5
2 1 0
1 1 1
0 0 0
2 0 1
1 1 2
2 2 2
1 0 0
0 2 1
2 2 0
1 0 1
10 9
3 3 0
4 1 3
3 0 4
4 2 1
4 1 1
0 3 0
4 4 2
3 1 0
2 3 3
3 4 0
10 7
4 4 0
3 0 2
0 0 2
2 0 4
4 1 3
3 2 2
2 2 0
1 0 2
0 0 1
3 2 4
10 6
0 0 2
0 2 3
0 1 3
3 2 1
1 1 0
3 1 2
0 2 0
1 3 3
1 1 2
3 2 3
10 5
4 4 4
1 3 1
4 2 5
5 3 4
3 2 3
0 5 3
0 2 4
3 2 0
2 5 0
4 5 4
10 5
0 2 0
1 2 0
2 2 0
0 1 0
2 0 0
1 1 1
1 0 1
2 1 0
2 1 1
1 2 1
10 5
2 2 1
0 0 1
1 2 1
2 2 0
1 0 2
1 1 1
0 0 0
2 1 1
0 1 1
1 0 0
10 4
0 2 0
2 0 0
2 2 1
0 1 2
1 2 2
1 0 2
2 2 2
1 1 0
0 1 0
0 2 1
10 8
5 1 0
3 2 0
1 3 3
0 4 4
0 1 1
0 1 5
0 2 5
1 3 1
5 0 1
4 2 5
10 7
4 3 2
1 1 3
2 4 1
2 0 3
4 2 4
4 1 0
0 2 1
0 4 0
0 3 2
0 0 0
10 5
3 2 3
2 4 3
2 1 1
0 1 3
0 0 3
4 4 4
3 4 0
3 3 1
1 0 3
2 3 0
10 6
2 3 3
1 1 2
4 3 1
0 0 2
3 0 4
2 3 2
0 2 4
2 2 1
1 1 4
3 0 0
10 9
3 5 4
2 5 2
0 2 3
0 5 0
1 5 1
2 2 2
2 4 3
3 5 3
4 5 0
3 5 5
10 5
2 2 0
0 0 2
0 1 0
0 0 0
1 0 1
1 0 2
2 0 2
2 0 0
2 0 1
2 1 2
10 2
2 1 1
1 0 1
0 0 1
2 1 2
1 1 2
1 2 0
1 0 2
0 1 1
2 2 2
0 0 0
10 9
0 2 3
4 0 4
2 2 2
3 2 1
1 4 4
1 4 1
2 4 0
4 2 4
3 4 0
0 1 0
10 8
2 3 0
0 1 4
4 0 2
4 4 4
1 1 4
2 4 1
3 4 2
1 3 4
1 0 1
1 0 2
10 8
2 3 0
4 2 3
4 3 0
1 3 2
2 1 1
4 3 1
0 2 0
2 3 2
4 0 2
4 2 1
10 8
4 1 4
0 2 2
4 3 3
1 3 1
2 3 0
2 2 3
2 1 3
1 2 1
4 4 0
3 4 1
10 2
0 1 2
2 1 3
2 2 0
2 3 0
1 1 0
2 1 2
0 3 2
1 3 0
1 3 2
1 0 0
10 8
1 1 2
1 2 0
0 2 2
1 0 0
1 0 1
2 1 0
1 2 1
2 2 1
2 0 2
1 2 2
10 4
0 4 4
2 0 0
3 5 2
3 2 4
2 5 5
5 0 3
3 0 3
4 3 1
4 3 0
5 5 3
10 9
0 0 3
0 3 3
1 3 3
1 3 2
1 0 2
0 2 0
3 3 0
0 3 2
1 1 1
1 0 1
10 3
4 4 0
3 4 0
1 1 3
0 1 4
4 4 2
2 0 3
1 4 3
4 2 2
3 3 3
0 3 0
10 7
0 1 2
0 2 2
1 0 2
1 0 1
0 0 2
0 0 0
0 1 1
2 0 2
1 0 0
1 1 2
10 3
1 0 3
1 1 0
1 3 2
2 2 0
0 0 0
0 1 3
2 0 2
3 0 1
1 1 2
3 3 0
10 5
1 0 2
1 2 3
3 1 2
3 3 3
1 0 3
3 1 0
0 3 0
0 3 2
1 3 2
0 2 0
10 6
2 0 2
1 2 0
3 0 3
1 0 2
1 2 4
2 2 5
4 1 2
0 5 0
4 4 3
5 3 2
10 4
1 0 2
2 0 1
0 1 1
1 1 2
2 1 1
0 1 2
0 1 0
1 1 1
2 0 2
1 0 1
10 2
4 3 1
4 0 3
1 3 1
1 3 2
4 2 2
1 4 3
2 4 0
3 2 4
2 0 4
0 4 0
10 9
0 2 2
0 1 2
0 2 1
2 0 1
1 1 1
1 1 2
2 1 2
1 0 0
2 2 2
2 0 2
10 5
0 0 1
0 0 0
3 3 0
1 3 0
3 0 0
4 3 3
1 3 2
4 2 4
0 2 2
4 0 4
10 9
3 1 1
3 4 4
1 1 4
4 0 0
1 0 0
3 3 2
3 0 3
4 0 3
4 3 4
2 1 2
10 9
2 3 5
0 1 0
5 4 5
0 3 5
4 0 4
4 1 5
2 5 5
2 5 3
1 0 0
4 1 2
10 6
5 4 2
1 0 1
3 5 5
2 4 2
3 2 2
1 0 0
0 0 1
4 0 4
4 5 4
5 0 4
10 8
1 3 5
2 1 1
1 1 0
2 3 5
0 1 0
3 4 4
3 0 1
2 2 1
5 2 4
2 0 1
10 2
2 4 1
2 4 2
0 0 1
1 1 1
3 0 1
1 1 2
1 4 3
4 4 0
1 0 3
4 0 0
10 4
2 1 0
0 2 1
1 0 0
0 2 0
2 2 2
1 2 2
1 1 1
1 0 2
2 0 0
2 1 1
10 6
1 3 4
3 1 3
4 4 4
1 1 3
2 4 4
4 2 2
4 4 1
4 4 3
1 2 4
0 2 2
10 3
3 0 0
3 2 3
1 2 4
0 1 4
2 3 4
0 0 1
0 1 3
0 3 0
0 3 4
5 4 3
10 7
1 2 0
2 2 3
3 0 1
0 2 3
3 0 2
3 2 2
3 1 0
1 2 2
1 3 0
3 0 3
10 8
1 1 1
1 0 2
3 2 2
3 3 1
0 0 2
0 3 2
0 3 1
2 0 1
3 1 1
0 1 1
10 7
4 4 1
0 3 4
3 1 2
3 4 0
0 4 1
0 0 3
2 2 4
0 2 1
0 1 2
4 2 2
10 4
3 1 4
2 3 2
1 0 4
5 4 5
4 2 2
2 2 2
3 4 2
4 0 4
0 3 5
3 4 4
10 2
3 4 1
0 3 5
2 3 1
4 0 3
5 5 2
5 3 0
0 0 1
0 5 0
3 5 1
4 4 4
10 2
1 1 0
2 2 2
2 0 2
1 2 2
2 1 1
2 1 2
2 0 0
0 2 0
1 1 2
0 0 1
10 9
3 4 4
3 4 1
1 2 2
2 2 2
0 2 1
2 4 1
3 3 2
4 0 2
4 4 1
1 0 4
10 4
2 2 3
0 2 4
1 1 4
2 1 1
0 1 2
3 1 4
3 0 1
0 2 0
1 0 4
2 4 2
10 3
4 4 2
4 2 1
3 3 4
3 1 4
4 1 3
5 1 2
3 0 4
1 3 2
5 2 0
3 5 5
10 2
0 2 1
1 3 4
2 0 1
0 0 4
0 1 0
1 1 0
0 2 0
4 2 0
2 1 2
0 1 1
10 4
1 0 0
0 0 5
5 1 1
1 0 5
5 4 2
4 2 0
4 2 5
0 1 0
5 3 1
2 0 3
10 2
1 0 0
0 0 0
1 1 1
0 2 0
2 1 0
2 0 1
2 2 1
2 0 0
1 2 2
1 0 2
10 3
2 1 1
0 2 1
2 2 0
1 0 1
1 2 2
1 1 0
1 2 0
2 2 2
1 0 0
2 1 0
10 6
0 0 0
0 2 3
0 1 3
2 2 1
1 2 3
0 3 3
3 3 3
3 3 2
0 0 1
1 0 1
10 3
3 0 1
5 3 3
2 5 0
0 4 2
0 2 4
3 2 2
2 0 5
1 3 4
3 3 0
1 3 2
10 9
2 0 0
2 4 1
3 5 1
3 3 3
1 3 2
4 3 4
0 0 2
0 1 0
2 5 5
2 0 1
10 6
2 0 2
0 3 2
2 0 3
3 1 1
3 3 1
0 3 1
2 2 3
1 3 3
3 2 1
3 1 3
10 5
5 3 4
2 2 5
3 5 5
3 2 5
1 5 1
1 0 3
3 5 3
5 1 1
5 1 2
1 0 2
10 6
0 1 3
3 3 2
1 1 2
0 2 1
1 1 0
0 1 0
1 3 0
1 0 2
2 2 1
3 1 3
10 7
2 0 0
2 1 2
1 2 3
3 0 1
2 3 2
0 1 3
2 1 3
3 3 0
1 3 0
0 1 0
10 9
3 0 1
0 2 3
0 0 3
4 2 3
4 4 0
3 2 0
4 1 2
1 2 0
0 3 3
0 1 3
10 9
0 1 2
2 0 0
1 1 0
2 2 2
0 2 0
0 1 1
1 1 2
2 0 2
2 2 0
0 2 2
10 5
5 2 3
2 0 2
3 2 5
3 5 4
1 2 2
1 1 5
5 4 5
0 0 4
4 2 4
4 3 0
10 5
4 3 1
4 4 4
4 1 4
3 4 4
0 1 4
4 4 1
1 1 2
1 2 1
1 0 3
0 0 0
10 5
2 4 5
5 0 0
3 1 3
0 3 0
0 3 3
2 3 1
0 2 2
1 2 3
3 0 5
1 4 4
10 2
2 3 0
2 3 1
3 1 3
3 0 3
3 3 0
1 3 1
1 1 0
2 1 0
0 1 0
3 1 1
10 9
0 1 1
1 3 1
1 2 1
3 2 1
2 3 2
3 1 1
2 2 2
1 2 0
0 2 0
0 1 0
10 8
0 0 4
1 4 2
1 2 4
1 3 0
1 2 3
4 4 1
4 4 3
4 1 3
2 4 2
4 0 2
10 3
2 3 3
1 2 5
5 2 0
2 3 2
2 5 1
5 4 0
3 3 2
4 0 2
3 1 0
4 2 3
10 4
2 2 2
2 0 2
1 2 1
1 0 1
1 1 2
2 2 1
0 1 2
1 0 2
2 0 0
2 1 2
10 2
4 4 3
4 1 1
0 0 4
2 0 2
1 1 4
0 5 3
1 5 5
2 4 0
5 4 4
0 0 3
10 6
2 2 2
3 3 3
1 1 0
2 1 1
3 0 3
2 0 2
1 1 2
3 1 0
3 2 2
1 3 3
10 2
2 2 2
3 4 4
0 4 0
1 0 0
0 3 1
1 3 1
1 4 1
0 3 4
2 4 4
1 2 4
10 4
1 0 1
0 0 2
2 0 0
1 2 1
0 1 2
2 1 0
2 0 1
1 2 0
0 1 0
0 0 1
10 8
0 3 1
4 3 2
4 1 4
0 0 0
3 0 1
2 3 1
3 4 1
1 4 2
2 1 1
2 1 2
10 3
4 4 0
2 2 0
5 4 1
2 2 4
4 3 4
2 4 0
4 1 2
2 0 4
1 4 4
1 4 5
10 8
0 1 4
4 1 5
3 3 4
3 2 1
0 4 2
1 1 4
0 5 0
1 2 0
3 4 4
4 2 3
10 7
2 3 1
1 1 1
2 3 0
0 0 1
0 0 3
2 1 3
2 3 2
3 2 2
2 1 0
0 2 2
10 3
3 4 3
0 0 1
0 1 2
4 2 0
3 0 0
3 0 2
0 3 0
2 1 0
0 3 3
4 2 3
10 9
3 0 2
0 3 1
3 2 1
0 4 2
2 0 1
0 1 2
4 3 4
0 4 4
1 3 1
0 0 1
10 9
1 4 0
1 2 4
1 2 1
0 1 2
4 0 4
2 4 1
4 2 4
4 3 1
0 1 3
3 0 3
10 7
1 1 4
1 5 1
3 3 0
3 5 1
5 3 1
0 5 3
5 2 4
2 0 4
1 1 5
4 4 0
10 2
2 4 3
5 5 1
3 3 4
5 2 4
1 0 0
3 0 0
3 3 5
2 3 5
0 1 1
3 0 5
10 2
0 0 1
0 0 0
2 2 0
2 1 0
0 1 2
0 0 2
1 2 0
1 1 0
1 0 1
2 0 0
10 8
5 3 4
0 1 4
4 0 2
3 3 5
3 4 4
0 1 3
0 4 5
1 5 4
2 1 3
2 3 2
10 4
1 2 1
2 1 1
1 1 1
1 0 2
2 1 2
2 2 0
0 0 0
0 0 2
2 2 2
1 1 2
10 7
3 3 2
4 2 0
3 1 0
1 2 0
4 1 2
3 4 0
2 0 4
2 3 3
4 2 4
1 0 0
10 3
3 1 4
5 0 0
2 1 2
2 3 2
2 4 1
5 4 3
2 2 5
2 4 0
3 2 1
5 1 4
10 3
0 0 2
3 0 2
2 0 3
3 2 2
1 2 1
3 3 3
1 0 0
2 1 2
1 2 0
1 3 0
10 3
0 1 1
0 1 0
1 1 2
2 0 1
1 2 1
1 1 1
0 0 1
1 0 0
2 2 2
1 2 2
10 2
1 0 0
1 0 2
2 1 1
2 1 2
0 0 1
0 1 2
1 2 0
0 2 2
2 2 1
1 2 1
10 8
5 4 5
1 2 5
1 3 0
4 3 5
2 5 1
0 1 0
0 0 4
0 3 2
0 5 1
3 2 4
10 9
1 0 2
3 1 1
3 1 0
0 3 3
3 3 3
0 3 2
2 1 3
0 2 3
0 0 0
1 1 2
10 4
3 2 1
3 2 3
1 2 3
0 3 3
2 1 2
0 0 1
3 1 0
3 3 0
3 3 1
2 0 2
10 3
0 1 1
0 2 0
2 0 2
2 0 0
2 2 1
1 2 1
1 1 0
2 1 2
0 0 1
2 2 0
10 9
0 3 1
3 0 2
0 0 1
0 0 3
2 3 1
3 2 0
0 1 2
3 2 1
1 2 2
3 3 3
10 7
4 1 2
3 1 3
3 4 4
2 0 0
3 2 3
3 1 2
0 1 1
0 0 0
4 2 1
0 0 2
10 6
5 3 2
3 2 4
5 4 1
0 3 1
5 1 0
0 4 1
3 0 0
3 1 2
1 0 4
3 0 5
10 7
5 1 2
0 5 2
2 4 5
2 2 0
4 0 1
1 5 1
0 4 2
5 2 4
5 1 3
2 5 3
10 6
1 1 1
0 0 0
2 0 1
0 2 2
2 0 2
0 0 1
0 2 0
1 0 0
2 1 1
0 2 1
10 7
0 1 0
1 1 1
0 0 0
0 0 1
1 1 2
2 0 2
0 0 2
0 1 1
1 2 1
0 2 2
10 2
1 3 3
3 2 3
3 5 5
4 0 2
0 2 5
5 3 2
5 2 0
4 1 3
0 1 4
2 0 3
10 7
2 2 3
1 0 0
1 1 2
3 1 2
2 0 3
1 2 2
0 3 2
3 3 1
1 0 1
0 0 1
10 8
1 2 5
1 0 2
0 0 4
5 5 1
2 1 1
2 2 4
2 3 3
1 5 2
3 3 3
0 0 1
10 7
3 1 3
0 2 0
1 3 0
1 0 3
0 0 3
1 2 1
1 3 3
0 3 0
3 1 1
3 2 1
10 6
0 0 5
1 0 2
1 1 2
1 3 4
1 4 4
3 2 2
4 1 5
0 1 3
5 0 3
5 3 3
10 4
2 1 1
2 1 3
2 3 1
3 1 1
2 0 3
2 1 2
0 1 1
2 2 0
1 0 0
1 1 0
10 6
3 1 2
1 1 3
3 0 2
0 0 0
2 2 2
3 3 3
0 1 1
1 0 2
2 1 3
0 0 1
10 5
1 2 2
0 1 1
4 5 3
3 2 5
4 4 1
0 3 3
1 2 5
0 3 0
2 5 0
4 3 5
10 9
3 0 1
3 0 3
0 0 0
0 0 1
1 1 3
1 0 2
0 3 3
2 3 0
1 0 3
1 3 1
10 2
0 1 0
1 0 0
1 1 0
2 1 2
2 2 0
1 2 0
0 1 1
1 0 1
2 2 1
0 2 0
10 5
0 1 1
0 2 2
0 0 1
2 1 2
1 2 0
1 1 0
2 2 0
0 1 0
1 0 0
2 1 1
10 3
1 0 3
1 3 0
1 2 3
0 0 2
1 3 1
3 3 1
0 3 1
2 1 3
2 1 0
1 0 2
10 3
3 0 4
5 0 1
2 3 2
3 1 5
0 5 1
1 5 2
1 4 0
1 2 2
2 5 1
5 4 0
10 2
2 0 1
0 0 0
0 2 2
0 0 1
1 0 2
0 1 0
1 1 0
1 2 2
2 0 2
0 2 0
10 3
0 1 2
1 0 0
0 2 0
1 1 0
0 1 0
0 2 1
2 2 0
0 0 0
2 1 0
1 1 1
10 7
3 5 0
1 3 0
4 0 3
0 2 4
5 4 2
3 1 5
1 1 0
4 2 2
5 5 1
5 5 5
10 7
0 4 4
0 1 1
2 2 4
3 3 4
0 2 4
2 2 3
3 0 2
0 0 0
0 3 2
1 1 4
10 5
3 4 0
5 0 1
2 2 1
2 5 4
4 0 4
5 4 5
5 1 3
2 4 2
3 0 2
1 2 2
10 7
0 3 1
0 2 4
0 0 2
3 0 1
1 4 3
2 3 1
0 2 3
3 1 4
3 0 4
4 0 3
10 3
2 2 1
1 2 2
2 2 2
1 1 2
2 1 2
0 0 0
0 2 0
2 0 2
0 0 1
1 0 2
10 3
2 3 0
3 3 2
3 3 0
2 0 1
1 0 1
0 2 2
0 0 1
3 2 3
3 1 1
2 3 1
10 8
0 0 0
0 2 2
2 0 1
0 1 0
1 1 1
1 1 2
2 2 1
0 0 1
1 0 2
1 0 1
10 7
0 0 1
2 2 1
2 1 1
0 2 2
2 2 0
2 1 2
0 1 2
1 0 1
0 0 2
1 1 2
10 5
0 3 1
3 1 3
1 0 1
1 0 4
0 4 0
3 1 0
2 2 1
1 4 4
4 0 2
4 1 2
10 5
1 0 3
1 3 2
2 4 2
1 2 3
3 3 1
2 0 2
4 4 1
0 2 1
0 2 0
0 3 2
10 9
0 2 2
2 0 2
2 1 1
1 0 2
2 2 1
1 0 1
2 0 0
0 1 0
1 1 2
0 2 0
10 2
0 2 3
3 2 0
3 1 0
3 3 5
1 5 1
3 4 5
0 2 5
0 1 4
0 1 5
4 5 2
10 8
1 4 0
1 3 2
4 3 1
2 0 1
3 2 0
2 1 1
1 4 1
4 0 4
1 1 0
2 4 0
10 5
2 1 1
3 0 0
0 3 2
2 2 1
1 3 3
1 3 2
2 3 2
2 2 0
2 0 3
1 3 0
10 6
1 0 0
0 0 1
1 2 3
3 2 2
2 4 4
0 3 1
0 2 3
2 4 0
2 4 2
4 1 2
10 8
0 0 0
3 1 2
1 0 0
1 3 1
4 3 1
4 1 0
2 1 4
1 4 4
4 2 4
2 0 1
10 3
0 0 0
5 3 5
0 4 2
1 3 2
5 1 4
4 1 2
0 1 0
1 5 1
1 4 5
0 5 2
10 4
1 1 0
1 2 1
2 1 0
2 1 2
0 1 2
2 0 1
1 2 0
2 2 0
0 0 2
1 1 2
10 9
0 2 0
0 0 0
1 0 0
1 1 1
0 1 1
2 1 1
0 1 2
2 2 0
0 2 2
2 0 2
10 5
0 1 1
2 2 1
0 2 1
1 1 2
0 0 0
1 1 1
0 0 1
2 1 0
2 0 0
1 0 2
10 3
2 2 3
3 0 3
1 0 1
0 0 3
3 3 1
3 1 2
0 0 0
0 1 2
2 0 3
0 0 2
10 7
3 3 1
0 2 1
2 0 3
0 1 1
1 1 0
1 0 2
1 3 1
1 1 1
1 0 3
1 3 0
10 9
2 4 1
3 1 2
1 4 1
2 1 4
3 1 0
1 1 3
4 3 1
4 0 0
4 2 4
1 1 4
10 5
2 2 4
2 0 2
1 3 3
1 2 2
4 1 2
4 4 1
2 4 2
3 1 3
3 2 0
3 1 4
10 7
2 0 5
1 1 0
3 0 1
2 5 4
2 2 0
2 2 3
3 1 3
0 3 1
3 2 2
5 3 5
10 4
2 2 1
2 1 1
1 0 3
2 3 1
2 1 0
2 3 3
3 0 2
0 1 0
0 2 1
1 2 1
10 5
1 2 0
1 2 1
3 4 4
3 2 1
3 4 1
3 0 1
3 3 3
0 0 4
1 2 3
4 2 2
10 2
1 0 3
3 3 3
1 3 1
1 1 3
2 0 2
2 3 2
1 1 2
2 2 2
3 2 2
0 0 0
10 8
2 1 1
1 0 0
1 2 2
2 2 0
2 0 0
2 0 2
0 1 0
2 1 2
0 2 1
0 0 1
10 3
1 4 3
2 1 1
1 1 3
1 3 1
1 4 0
3 3 1
4 2 2
4 0 4
4 4 2
0 1 3
10 9
3 5 1
4 1 2
4 5 3
3 4 4
4 3 2
5 1 2
4 4 2
0 4 4
5 1 0
5 3 2
10 9
2 2 1
2 0 0
3 2 0
1 2 3
0 2 1
1 3 0
3 2 1
2 2 2
0 2 0
0 1 0
10 7
1 1 0
2 0 0
0 2 2
0 0 2
1 1 1
2 2 1
1 2 2
2 1 1
0 1 1
0 0 1
10 7
3 4 2
4 2 3
1 3 0
4 2 4
1 2 0
2 1 1
0 3 1
3 3 2
2 3 4
0 1 1
10 4
0 2 2
0 2 0
1 1 1
2 2 1
2 2 0
2 2 2
0 1 1
2 0 2
0 1 2
2 1 2
10 2
0 0 2
0 2 2
0 2 1
2 0 1
2 0 2
0 2 0
1 1 2
2 1 1
0 1 0
1 0 2
10 5
0 2 0
4 0 0
2 4 0
1 0 4
4 3 4
2 0 2
1 1 3
5 3 5
0 1 1
2 1 2
10 8
5 2 3
1 0 2
0 0 0
0 1 4
5 1 0
2 2 0
2 5 2
5 5 0
5 0 1
0 3 1
10 3
2 0 3
2 5 3
2 5 2
4 0 2
1 2 0
0 0 1
3 4 1
2 5 1
0 4 2
1 2 2
10 5
1 0 1
1 2 2
1 1 1
1 1 0
1 0 2
1 2 0
0 2 2
1 0 0
2 2 1
2 0 2
10 7
2 1 2
1 0 2
0 0 2
0 1 2
2 0 0
1 1 1
1 0 0
0 1 1
1 2 0
0 2 0
10 2
0 1 2
3 3 1
1 2 3
1 5 5
4 2 2
1 4 1
5 2 3
4 0 1
0 5 5
0 3 0
10 2
1 0 0
1 0 3
0 2 0
2 2 0
1 3 3
1 2 3
0 0 1
2 1 1
2 0 3
3 0 2
10 9
2 0 4
2 1 4
2 2 4
0 3 4
0 3 1
4 4 0
1 4 2
1 0 4
1 4 1
0 0 3
10 3
0 1 2
0 2 0
2 2 0
2 0 1
0 2 2
1 2 0
0 0 2
2 1 0
2 1 2
2 1 1
10 8
4 5 5
3 4 2
1 4 4
2 3 4
4 4 5
0 4 1
0 2 1
3 5 2
3 2 1
0 0 2
10 7
1 2 4
2 4 1
0 0 3
0 0 2
2 0 0
3 3 0
0 2 2
2 3 1
4 0 4
0 4 3
10 3
1 1 0
0 2 1
2 0 1
1 2 2
2 2 0
0 0 1
1 2 1
2 1 0
1 2 0
2 1 1
10 5
3 3 3
3 1 0
1 3 0
1 3 3
3 0 1
0 2 2
2 2 0
2 3 1
0 0 3
3 1 1
10 8
3 3 2
1 4 2
4 0 2
4 2 1
1 1 3
2 3 2
4 0 0
1 1 0
3 0 2
1 0 4
10 7
1 1 1
3 4 2
1 4 3
3 1 2
4 2 2
3 0 1
0 2 1
0 2 0
1 3 1
3 0 0
10 6
5 2 5
2 4 0
4 1 0
3 1 0
2 3 0
3 4 2
3 5 0
2 5 3
2 3 1
4 3 2
10 6
2 1 1
1 1 0
0 0 2
2 2 2
1 2 1
1 2 0
0 1 2
0 2 1
1 0 0
0 2 0
10 9
0 1 0
3 2 2
0 3 2
3 3 2
0 0 3
3 1 0
0 2 2
1 3 3
3 1 1
1 0 0
10 5
3 5 3
2 2 3
5 5 1
2 0 1
4 3 1
4 5 0
0 1 0
4 5 1
0 0 2
4 1 4
10 7
2 0 0
0 0 2
1 1 2
1 0 2
2 1 2
1 0 1
2 0 1
2 2 0
0 1 2
2 0 2
10 5
1 0 2
4 0 1
3 3 3
1 3 1
0 4 2
2 0 4
2 0 0
0 3 1
1 2 3
3 0 1
10 4
4 3 0
0 4 4
1 2 1
0 2 2
1 2 3
3 2 1
1 3 3
0 1 1
1 0 2
0 0 1
10 9
1 3 4
4 4 3
2 3 5
5 4 5
0 2 5
3 2 0
3 3 3
0 0 2
0 0 3
0 0 1
10 4
1 2 3
3 2 0
2 3 2
2 0 0
1 1 0
1 2 1
0 2 0
0 3 3
3 1 1
0 0 0
10 7
0 1 0
1 2 1
0 0 0
2 2 1
2 1 1
0 1 2
0 0 2
2 1 2
0 0 1
1 1 1
10 3
1 5 1
3 0 1
1 3 3
4 5 0
0 4 4
3 2 2
3 1 5
2 5 1
2 0 4
2 0 2
10 3
5 2 5
1 2 4
4 1 2
3 2 0
3 3 2
4 1 0
1 4 1
4 3 2
5 3 2
4 0 5
10 3
4 4 1
4 1 2
4 2 4
4 0 3
2 4 4
0 2 3
0 1 1
2 1 2
1 3 2
2 3 0
10 6
2 3 3
3 2 2
3 0 0
0 0 1
0 2 1
1 0 0
1 2 2
0 3 3
2 2 1
0 3 0
10 8
3 3 1
1 3 3
0 2 1
3 0 3
3 1 3
2 3 1
2 3 2
2 1 3
1 3 0
1 2 1
10 4
1 3 0
3 2 3
2 3 3
2 3 1
1 1 3
3 1 3
0 1 2
1 2 2
0 2 1
0 3 2
10 4
1 0 0
1 0 1
1 1 1
2 2 1
0 1 0
0 2 1
0 0 1
1 2 2
2 1 1
2 0 1
10 2
1 0 0
2 4 1
2 2 2
4 0 4
2 4 2
2 0 1
1 4 0
0 0 1
1 4 4
2 0 0
10 7
0 2 2
3 5 2
0 3 1
0 4 2
1 3 4
5 4 5
1 2 5
2 1 4
5 4 3
2 0 5
10 5
3 0 2
3 1 1
1 1 3
3 2 0
2 3 2
2 1 2
0 3 2
3 3 1
0 3 1
3 0 3
10 6
1 0 2
1 1 1
2 2 0
1 0 1
2 2 1
1 1 0
0 1 1
2 0 0
0 1 2
0 2 0
10 2
0 0 0
0 0 2
0 1 0
1 0 2
1 2 2
2 0 1
0 2 0
1 1 1
2 2 1
0 2 1
10 6
1 2 1
0 0 0
2 2 0
0 0 2
2 0 1
2 1 2
1 0 1
2 0 0
2 2 2
1 1 1
10 8
0 2 4
1 1 4
3 1 1
0 4 4
4 0 3
0 3 0
2 1 3
0 4 3
4 3 4
2 4 3
10 2
1 5 4
1 4 2
5 0 5
3 0 1
5 4 5
4 4 2
0 3 4
2 0 5
2 2 1
2 5 3
10 6
2 2 4
4 4 1
5 0 5
1 4 1
3 4 4
4 4 0
2 3 0
0 5 0
0 1 0
0 0 5
10 7
4 5 2
4 3 0
4 1 0
3 2 2
5 4 5
1 5 5
1 1 5
4 2 2
2 3 5
5 5 1
10 5
1 0 0
0 0 1
1 1 1
2 0 1
2 1 3
0 0 2
3 1 0
3 1 3
3 0 1
2 3 1
10 9
1 0 0
0 0 4
5 3 5
2 3 4
5 0 0
5 2 1
2 0 5
1 4 1
4 4 3
1 1 2
10 4
0 1 2
2 0 0
1 0 2
2 3 3
1 3 3
2 1 1
1 0 0
1 1 3
0 2 1
3 3 1
10 6
3 4 0
4 0 1
4 3 0
3 0 2
0 0 2
1 3 1
4 1 0
3 1 4
0 1 0
0 4 4
10 7
2 3 4
4 0 1
1 1 2
0 4 2
2 2 1
4 1 4
4 1 0
0 1 1
0 1 2
1 4 0
10 7
1 0 0
3 3 0
3 3 1
0 0 2
2 0 0
1 2 1
0 0 0
2 2 1
0 2 2
3 2 3
10 8
2 0 0
0 0 1
0 1 2
1 3 1
2 3 0
3 0 1
0 1 3
1 2 1
0 3 2
3 3 3
10 4
1 1 3
2 4 3
5 2 0
4 3 2
0 5 4
5 2 2
1 2 2
0 1 0
0 2 5
0 0 3
10 7
2 0 3
1 0 0
0 1 3
2 1 0
1 3 0
0 3 2
2 1 2
3 1 3
2 2 2
2 2 3
10 7
2 1 1
2 2 3
2 2 2
1 2 1
4 2 1
0 4 0
4 4 2
2 4 4
1 2 4
2 1 4
10 9
0 0 0
1 0 0
1 0 1
2 2 1
2 0 2
1 2 0
2 1 2
1 0 2
0 1 2
1 1 2
10 3
2 2 1
0 2 1
2 1 0
0 0 1
0 1 1
0 0 2
2 0 2
2 1 2
1 1 1
1 1 0
10 5
3 3 0
1 0 3
0 2 0
3 2 3
3 0 2
0 2 3
0 2 2
1 0 2
3 0 3
2 2 2
10 5
1 3 3
1 0 2
2 2 0
3 0 2
0 0 2
1 2 3
1 2 0
2 1 3
3 3 0
1 1 3
10 2
0 0 0
4 0 3
2 4 2
2 3 0
3 5 5
0 0 2
4 5 1
1 3 5
1 3 0
3 3 2
10 6
2 1 1
1 1 2
0 0 0
0 1 2
0 1 1
2 0 1
0 0 1
1 2 1
1 2 2
2 0 0
10 4
0 1 0
2 0 2
2 1 0
3 2 1
0 1 2
1 3 0
2 3 2
0 3 1
0 2 2
2 3 3
10 7
0 0 0
1 2 0
0 2 0
0 1 2
2 1 1
0 1 0
2 2 2
1 0 1
2 1 0
2 2 0
10 2
0 4 3
0 1 3
2 1 1
4 4 0
2 1 0
4 4 4
3 0 3
2 3 0
0 0 2
2 2 0
10 4
1 1 1
2 2 1
0 2 0
2 2 2
0 1 1
1 2 2
1 0 2
0 1 2
2 0 1
2 0 0
10 5
1 1 0
2 2 1
2 0 0
1 2 1
0 0 0
1 2 2
1 0 2
0 2 2
2 2 2
1 0 1
10 5
1 1 0
0 4 4
3 1 4
1 3 4
4 4 2
4 2 2
1 3 1
2 4 1
2 4 3
1 2 4
10 6
1 1 1
1 2 2
0 1 2
2 1 0
1 1 0
1 1 2
2 1 2
2 2 1
0 2 0
0 2 2
10 9
4 4 3
1 5 0
2 4 3
3 5 4
3 1 3
1 1 1
2 5 5
3 5 3
1 4 1
1 5 5
10 6
0 4 0
2 4 0
1 3 5
5 3 4
3 2 1
4 1 2
1 4 5
5 4 0
0 2 4
0 3 5
10 2
1 5 3
0 2 1
2 0 2
4 1 3
3 2 4
5 1 5
5 0 3
0 5 1
1 5 5
1 2 3
10 8
0 0 1
2 2 3
1 2 2
0 2 3
3 3 3
1 1 1
1 3 1
2 1 2
2 1 0
3 3 1
10 8
0 2 1
0 0 1
2 2 2
1 2 0
1 0 1
1 1 0
2 2 1
0 2 2
1 0 0
0 0 0
10 3
0 3 3
2 0 0
0 0 1
3 0 2
0 0 2
2 2 3
3 1 3
0 2 2
3 3 2
0 0 3
10 8
4 2 4
1 1 3
3 4 4
4 1 2
4 1 1
2 0 0
0 0 0
0 2 1
1 4 1
0 2 4
10 5
5 0 3
2 5 1
4 3 3
5 5 4
0 3 1
1 4 3
5 4 1
2 1 4
2 3 3
1 1 1
10 7
2 1 0
1 1 1
2 4 0
0 4 0
0 1 3
4 4 0
4 0 3
0 4 1
2 2 2
2 3 4
10 9
0 1 0
2 0 1
2 1 0
0 2 0
0 2 1
1 0 2
0 1 1
1 0 1
0 0 1
2 0 0
10 6
3 2 1
3 0 2
1 3 2
2 3 0
1 0 3
1 3 0
1 1 1
3 2 2
3 1 2
1 2 3
10 9
1 0 0
0 2 1
2 2 0
0 1 0
2 1 1
1 1 1
1 1 0
0 2 2
0 2 0
1 2 0
10 6
2 0 0
0 2 2
1 1 0
1 2 2
2 2 2
2 2 0
2 1 0
2 0 1
0 0 0
2 0 2
10 6
3 0 3
1 2 4
5 1 4
1 1 2
2 5 2
4 3 1
5 4 5
0 4 3
0 5 2
1 5 2
10 9
3 1 1
2 4 2
4 0 2
1 1 1
1 4 0
3 2 2
1 4 3
0 4 3
0 4 0
2 3 2
10 3
0 2 1
2 1 3
2 0 3
0 1 2
1 0 0
3 1 2
0 3 2
3 3 0
0 0 2
3 2 1
10 9
5 3 2
4 2 0
3 5 5
4 4 4
5 1 1
2 2 5
3 0 5
4 2 1
0 3 2
1 4 5
10 8
5 2 1
1 5 1
3 4 1
3 3 1
3 1 4
0 4 2
5 3 4
3 1 5
4 4 3
0 4 5
10 2
4 3 2
2 2 4
1 4 3
0 1 2
3 4 0
2 5 1
1 3 2
1 0 0
4 1 2
1 4 1
10 2
0 1 2
0 2 0
0 1 0
1 1 0
1 2 0
2 1 0
0 0 0
0 0 2
0 2 1
1 0 1
10 6
0 0 3
1 3 2
3 0 1
3 2 1
1 2 2
0 3 2
0 1 0
0 2 1
2 0 2
1 0 0
10 2
3 3 4
1 4 0
1 4 4
1 4 3
0 4 4
4 4 2
2 4 4
1 1 4
3 4 2
3 2 2
10 5
2 0 3
0 3 3
1 3 1
0 3 0
1 3 0
1 2 0
0 1 3
3 3 0
1 1 2
3 3 2
10 3
3 0 0
3 1 3
1 5 3
0 2 3
5 4 2
3 1 2
3 0 3
5 2 0
3 4 4
3 5 1
10 4
2 2 5
0 1 3
2 1 2
0 1 1
2 0 3
2 1 0
1 5 1
0 5 4
2 1 5
5 4 4
10 3
0 4 4
1 1 5
2 1 1
5 1 0
1 5 1
3 0 5
4 2 5
3 3 1
3 0 0
2 1 5
10 5
2 1 0
0 2 0
0 0 0
1 2 0
0 1 1
0 1 0
2 2 0
1 2 2
1 1 0
1 1 1
10 6
1 1 0
1 1 2
2 0 2
1 2 0
2 1 2
0 0 2
0 1 2
1 0 2
1 0 0
0 2 1
10 4
2 0 2
0 2 0
1 1 3
1 3 0
3 0 1
2 3 0
3 0 0
0 3 3
1 2 2
3 3 1
10 5
1 2 4
0 5 2
2 2 2
0 0 5
4 5 1
2 4 1
2 0 5
4 2 1
3 1 3
2 1 0
10 5
2 1 0
1 5 4
3 4 4
0 0 0
1 4 0
0 1 0
5 2 4
2 4 3
4 3 4
4 4 2
10 2
3 3 3
1 4 1
1 0 1
3 0 0
0 1 2
2 3 1
4 4 3
2 0 3
0 2 3
0 3 1
10 2
0 4 1
0 0 0
4 5 0
4 1 5
2 4 3
0 3 1
1 0 5
0 1 4
5 4 5
4 5 4
10 9
4 5 3
5 4 0
4 2 1
2 2 1
4 1 0
3 3 5
3 1 0
5 5 5
3 4 2
2 2 0
10 7
3 2 3
3 3 0
1 1 1
2 0 3
3 1 2
2 0 2
1 0 2
1 2 1
0 3 0
1 0 0
10 8
3 1 2
1 3 0
0 3 3
1 2 1
1 0 0
3 3 0
2 0 3
1 1 3
3 0 0
2 3 1
10 7
2 2 0
2 0 2
0 0 1
0 3 2
1 0 3
2 1 1
3 2 3
0 1 3
2 2 1
3 2 2
10 8
0 3 3
2 2 4
0 2 3
0 0 4
3 2 2
3 1 4
2 1 2
1 3 1
1 3 3
2 4 4
10 8
1 2 1
0 0 0
1 0 0
2 2 1
2 0 0
0 0 1
1 1 1
0 2 1
2 0 1
0 1 1
10 8
1 1 1
1 2 0
2 1 1
2 2 1
1 0 0
2 1 0
2 1 2
2 0 0
0 0 0
2 2 2
10 6
4 1 4
3 2 0
1 4 2
1 1 3
1 4 3
0 4 1
1 0 3
0 2 0
0 3 4
0 2 1
10 9
1 5 1
5 4 4
5 5 4
1 3 0
2 0 3
1 4 2
4 0 5
1 4 5
5 2 4
2 3 5
10 5
4 4 5
5 3 4
0 3 1
5 0 0
2 5 3
2 4 1
0 0 0
1 4 0
0 0 3
3 0 4
10 3
0 2 4
4 4 1
1 3 3
1 0 0
2 4 4
2 5 4
3 4 4
3 0 0
1 1 5
4 1 2
10 6
1 3 3
4 3 2
0 5 4
0 5 3
1 1 5
1 4 5
4 2 5
1 3 4
0 5 1
4 2 2
10 7
4 2 0
3 3 4
0 3 1
0 0 2
3 4 3
3 4 2
0 0 0
2 3 1
4 4 3
1 3 3
10 7
0 0 1
0 2 0
2 0 0
1 1 2
2 2 0
2 1 2
0 2 2
1 2 0
0 2 1
1 2 1
10 7
3 2 3
1 3 2
1 3 3
2 1 0
3 0 1
3 3 3
1 0 0
3 1 0
1 3 0
0 2 3
10 8
0 3 0
0 2 2
3 2 2
3 0 3
3 1 0
2 0 0
3 2 3
0 0 1
3 3 2
2 2 2
10 6
1 3 4
3 3 3
1 4 4
2 5 1
2 1 4
3 3 4
3 5 2
4 0 0
4 5 5
2 0 3
10 8
0 1 0
3 0 3
2 2 2
1 3 1
1 3 0
2 3 2
1 2 3
3 3 2
1 1 2
1 3 2
10 4
1 2 0
1 4 1
1 2 1
0 2 0
1 1 4
3 2 0
3 0 3
0 3 3
0 0 3
3 1 0
10 7
1 0 1
1 1 2
0 2 0
2 2 2
1 2 1
0 0 2
2 0 0
0 1 0
0 2 2
2 1 0
10 4
5 5 5
4 1 4
5 0 2
0 4 5
1 2 1
2 5 3
4 4 5
1 1 4
5 1 4
3 5 3
10 4
4 4 2
0 2 4
1 0 2
2 0 0
4 1 0
0 4 3
0 5 4
4 0 3
2 2 1
0 1 3
10 6
3 0 1
1 3 4
4 2 2
3 4 4
3 1 4
0 4 0
0 0 0
2 2 1
1 3 0
1 0 4
10 5
3 3 3
2 3 2
3 0 3
3 3 1
0 3 2
1 3 0
1 3 2
0 0 0
2 3 3
3 2 1
10 7
0 1 1
1 2 0
1 2 1
1 0 0
0 0 1
2 2 1
1 0 2
0 2 0
2 0 1
0 1 0
10 4
3 3 1
3 2 2
3 3 2
2 0 3
1 3 0
2 0 2
3 2 1
1 2 3
2 2 1
3 1 3
10 2
1 3 2
2 1 1
0 2 1
4 3 1
0 2 2
3 1 0
1 2 4
2 0 1
4 1 0
0 1 1
10 7
3 0 0
0 2 2
3 0 3
3 1 2
2 0 1
3 1 3
0 2 3
2 0 0
2 0 3
2 2 3
10 3
5 5 1
2 2 2
4 3 4
3 3 3
5 3 5
2 3 1
5 3 0
5 0 4
2 1 1
4 0 1
10 8
2 0 1
2 1 0
2 2 2
0 0 1
1 2 1
1 1 0
1 0 2
1 2 0
2 0 2
0 1 2
10 8
1 0 4
2 3 2
3 4 4
1 2 1
3 4 1
1 2 0
0 0 1
4 0 1
1 3 2
0 0 3
10 9
4 1 2
4 4 0
3 1 3
2 2 0
3 0 1
1 2 0
3 2 2
4 3 2
3 1 0
3 3 0
10 8
0 2 2
2 3 0
0 2 3
2 1 2
2 2 2
1 3 3
2 3 1
1 2 3
1 3 2
2 3 2
10 2
1 2 0
2 1 1
0 1 1
2 0 1
1 1 2
2 0 0
1 0 2
2 2 0
2 0 2
1 0 1
10 2
2 2 2
2 3 0
1 1 1
2 3 3
1 4 1
3 4 2
2 4 2
2 2 1
2 0 0
3 1 4
10 7
1 2 2
0 1 2
1 2 1
0 2 1
0 1 1
2 0 1
2 1 1
1 1 0
1 1 1
0 0 1
10 8
0 0 0
2 0 2
1 1 0
2 0 0
2 2 0
1 2 0
1 0 1
0 1 2
0 1 1
2 1 1
10 2
1 0 2
0 1 5
0 3 5
5 3 5
0 0 4
5 4 3
4 4 3
4 4 4
1 1 0
3 1 0
10 4
5 0 4
1 0 1
1 2 2
4 2 1
3 5 2
3 4 1
0 1 1
5 2 3
3 3 1
1 5 3
10 2
3 2 0
2 1 1
0 1 2
3 2 2
0 2 2
0 2 0
0 1 1
3 3 0
0 3 2
2 2 1
10 5
3 3 3
3 1 0
3 3 2
3 0 1
0 1 1
0 3 3
2 1 3
1 0 2
2 3 3
2 3 2
10 4
2 2 1
0 2 2
1 2 0
1 2 2
1 1 0
2 1 1
0 1 1
0 1 2
2 0 2
1 0 2
10 5
0 0 1
0 0 2
0 2 0
2 1 0
2 0 0
0 1 0
2 1 1
1 2 1
0 1 2
1 0 2
10 8
2 2 2
2 0 2
3 0 0
3 2 2
3 3 0
0 1 2
0 1 1
0 3 1
0 0 2
2 0 1
10 3
2 2 0
1 1 2
2 2 1
1 0 2
1 0 0
1 2 2
0 0 0
1 2 0
2 0 2
2 0 0
10 5
5 1 3
1 5 0
2 0 1
4 4 0
0 4 4
0 1 2
0 3 0
3 3 1
1 4 4
3 0 5
10 3
0 0 2
0 0 1
1 1 1
0 1 0
0 0 0
2 1 2
1 1 2
0 2 1
1 2 0
2 0 2
10 7
1 0 2
4 4 3
4 5 1
0 0 2
3 1 2
1 0 1
2 4 5
0 1 0
1 2 5
3 1 3
10 2
2 1 1
0 2 2
1 1 1
2 0 2
2 2 1
0 2 1
1 1 0
1 2 2
2 1 2
0 1 1
10 2
2 0 2
0 0 2
0 0 0
0 0 1
0 2 1
1 2 2
2 1 1
1 1 0
2 2 2
2 0 0
10 2
1 0 3
2 0 1
0 0 0
0 3 2
0 1 0
0 0 2
0 2 1
1 2 0
1 2 3
2 3 0
10 9
2 0 2
2 1 0
0 1 2
0 0 2
0 1 0
2 1 1
1 2 1
0 2 2
1 1 0
2 1 2
10 6
4 1 2
1 5 3
3 5 4
1 1 1
3 2 3
1 5 4
3 4 0
4 3 5
3 4 2
1 2 1
10 2
0 2 3
0 1 0
3 3 1
1 2 0
3 0 2
2 1 3
2 1 1
1 1 2
3 1 1
1 1 3
10 2
0 0 0
3 2 0
0 3 3
0 0 1
1 3 3
2 2 1
3 2 1
1 2 3
1 3 2
2 2 3
10 4
4 5 3
1 0 0
5 4 2
1 5 2
2 0 4
5 0 3
2 2 0
2 5 0
3 1 2
0 5 4
10 3
3 0 1
3 0 3
1 4 1
1 4 3
0 2 1
0 4 2
4 4 4
3 2 4
0 1 1
0 1 0
10 3
0 1 1
3 3 3
3 2 3
1 0 1
3 3 2
2 1 1
1 3 1
2 2 2
3 1 0
2 1 2
10 6
1 1 2
1 0 0
1 2 0
2 0 1
0 1 2
2 2 0
0 2 2
2 1 2
2 0 0
2 2 2
10 8
3 0 4
1 1 2
2 2 1
3 5 3
5 3 1
0 3 1
2 2 3
2 2 4
1 3 4
3 3 0
10 7
3 1 0
2 2 1
2 2 2
3 2 4
0 2 0
0 2 4
0 3 2
2 2 0
2 1 2
4 4 3
10 6
3 1 2
0 2 0
1 0 3
3 0 0
3 0 1
2 1 3
2 2 2
2 3 3
0 1 1
2 0 0
10 7
4 0 4
3 0 2
1 0 1
4 1 4
1 4 0
0 1 3
4 1 1
0 5 5
5 0 4
0 4 0
10 4
0 1 0
1 1 0
0 0 1
1 2 0
2 2 2
2 1 1
2 1 0
0 0 2
0 2 0
1 2 1
10 6
1 1 3
3 1 2
3 1 1
1 3 1
0 2 1
1 0 1
1 0 3
2 0 2
2 1 1
1 2 0
10 8
4 0 0
5 5 2
1 2 0
3 3 0
4 1 5
4 3 5
4 4 1
3 0 1
0 3 3
3 2 2
10 7
2 0 0
3 3 5
1 5 2
1 2 2
4 4 1
3 1 3
5 0 3
1 5 5
4 0 3
5 5 0
10 6
4 0 3
3 1 0
4 4 3
4 3 3
2 0 4
1 4 4
3 4 0
0 3 1
2 4 4
1 1 4
10 4
2 1 0
2 2 1
0 0 2
1 0 2
2 1 2
0 1 1
1 1 0
1 1 2
2 2 2
0 0 1
10 9
2 0 1
1 2 2
0 1 0
1 0 1
0 0 0
2 0 0
1 2 1
2 0 2
0 0 2
0 2 0
10 8
0 2 1
2 1 1
1 1 2
2 0 0
1 0 0
0 0 1
1 2 1
1 2 2
2 1 0
0 2 0
10 8
2 0 3
4 2 4
2 3 3
3 0 1
3 4 3
2 4 1
4 1 2
1 3 1
3 4 1
4 4 3
10 8
3 4 5
3 5 4
4 5 0
5 3 1
0 2 3
4 1 2
1 2 3
4 5 2
2 2 4
4 2 3
10 7
1 3 2
0 2 0
2 0 2
4 0 2
2 0 4
1 0 4
0 2 1
3 1 0
3 4 0
3 1 4
10 2
1 2 2
0 2 2
1 2 0
0 1 2
0 0 0
2 0 2
1 0 0
0 1 1
0 0 1
0 2 0
10 3
3 2 5
2 4 3
3 3 3
5 3 3
5 4 2
3 4 5
0 2 3
5 0 4
4 3 0
2 5 4
10 2
2 4 5
0 4 0
3 1 2
3 4 3
3 2 5
1 2 4
1 4 2
2 5 3
5 4 0
4 0 1
10 5
1 0 1
2 2 2
1 2 0
0 0 0
0 2 0
2 1 1
1 0 0
0 1 1
1 2 1
0 0 2
10 2
2 3 3
1 1 3
0 2 0
0 3 1
3 0 1
3 3 1
3 3 2
3 2 1
2 0 1
1 3 1
10 2
2 3 3
2 0 1
0 1 2
0 2 1
1 1 1
1 0 1
1 0 3
0 1 1
2 1 2
3 3 3
10 7
1 1 2
2 1 2
1 1 0
2 0 1
2 2 2
1 2 1
1 2 2
0 1 2
1 2 0
1 1 1
10 8
3 2 0
5 5 0
2 1 4
3 1 1
5 1 3
5 3 2
5 0 2
3 5 1
1 2 4
3 3 2
10 2
4 5 4
3 3 1
1 0 2
3 4 3
3 5 4
3 2 2
0 1 3
4 1 3
4 5 3
3 4 2
10 6
1 1 0
2 0 2
1 1 2
2 2 0
0 0 0
1 1 1
2 2 1
0 1 0
0 2 0
2 2 2
10 4
3 1 3
2 4 0
0 3 2
3 2 4
3 3 0
1 2 2
0 2 4
4 0 2
4 0 3
4 0 1
10 3
2 2 0
2 1 0
0 2 2
1 0 2
0 1 0
2 0 1
0 2 1
0 2 0
1 2 1
2 1 2
10 3
2 0 2
1 0 1
2 3 0
0 0 0
3 1 1
1 2 2
0 0 2
0 1 0
3 3 1
2 1 0
10 4
4 3 4
0 1 2
0 4 4
4 2 1
1 0 2
4 1 3
0 0 4
4 2 4
2 3 3
3 2 5
10 4
3 1 1
2 2 2
2 4 1
5 1 5
0 1 2
4 3 3
1 2 3
1 0 1
4 0 4
4 0 3
10 8
3 0 0
0 0 2
2 2 0
3 1 0
0 1 2
1 3 2
2 2 3
2 1 2
1 0 1
0 3 2
10 7
0 1 1
2 2 3
1 3 1
3 2 0
0 2 1
1 3 3
2 2 0
2 3 2
3 1 0
1 2 1
10 3
1 2 5
1 2 1
0 5 5
5 5 0
5 0 4
0 2 1
1 2 0
2 3 0
1 5 2
0 4 2
10 4
2 1 1
2 3 0
3 0 1
2 2 1
1 1 3
3 1 1
1 3 1
3 1 2
0 1 3
0 3 2
10 8
4 2 2
3 2 2
4 0 4
0 4 0
2 0 4
1 2 0
0 2 4
2 2 3
1 1 4
1 3 3
10 5
2 2 3
2 3 3
0 3 3
3 1 1
0 1 1
2 2 0
1 3 3
3 1 0
0 3 1
1 0 3
10 9
5 5 3
0 2 4
3 1 4
2 1 5
2 4 3
2 4 5
2 3 1
1 2 4
1 1 3
1 2 2
10 3
1 1 0
1 1 5
3 1 4
4 1 2
0 3 1
1 3 5
2 3 4
4 5 1
4 0 5
3 0 3
10 4
2 2 2
0 1 1
1 0 2
1 2 1
2 0 0
1 0 1
2 0 2
0 2 0
0 1 2
1 1 2
10 7
1 0 0
2 2 1
3 3 2
3 2 1
0 0 0
3 1 2
3 3 3
0 1 0
1 1 3
1 0 1
10 3
0 1 0
0 2 2
0 2 1
2 3 1
3 3 2
3 0 1
0 0 3
3 1 2
2 3 0
1 2 3
10 3
1 2 2
1 2 1
0 1 2
0 0 1
0 1 1
2 1 1
2 2 0
2 0 1
2 2 1
0 0 0
10 9
0 1 3
0 3 3
2 2 0
2 3 0
1 1 3
0 0 3
1 0 1
0 3 0
3 1 2
3 2 0
10 4
0 2 4
2 0 4
5 3 0
1 3 0
4 0 1
1 2 1
3 5 0
4 3 4
5 4 5
4 4 0
10 9
3 3 4
0 2 3
0 4 2
1 3 4
1 3 0
2 1 1
3 4 1
4 2 3
3 0 4
4 0 3
10 8
1 2 0
0 3 1
3 3 2
1 3 1
2 2 1
0 3 3
0 2 1
0 0 2
3 0 1
2 0 2
10 9
3 2 1
3 3 2
4 0 4
2 1 0
4 1 1
4 5 4
2 1 1
2 5 0
4 2 3
4 4 1
10 9
1 0 0
1 1 2
2 1 2
0 0 2
2 2 1
1 2 2
0 2 0
2 0 0
2 0 1
0 1 0
10 7
5 1 4
4 1 5
4 5 0
0 0 0
5 3 5
1 2 3
3 0 5
5 3 1
1 1 4
5 2 2
10 5
2 3 4
1 4 4
2 5 2
2 4 3
2 3 1
3 5 0
2 3 5
3 2 3
1 1 5
5 1 2
10 9
0 2 2
2 3 0
3 3 1
4 0 2
0 4 2
4 1 4
1 2 1
4 1 3
4 1 2
3 1 4
10 9
0 3 0
0 1 3
1 3 0
3 2 2
3 3 2
1 1 0
3 1 0
0 2 3
3 0 2
1 1 3
10 5
1 3 1
0 0 2
1 0 3
2 4 0
1 2 4
1 1 2
4 2 3
0 0 1
3 4 4
1 1 4
10 2
1 1 0
0 2 1
0 0 0
2 2 2
1 0 1
2 1 2
0 2 2
0 1 1
2 2 0
2 0 0
10 6
2 2 2
1 2 0
1 0 1
3 3 1
2 2 3
3 2 1
0 2 0
3 0 1
3 2 2
1 0 3
10 7
5 5 1
2 3 5
1 0 0
2 3 0
5 5 2
1 1 5
4 0 1
0 0 5
5 0 1
1 4 0
10 7
1 5 2
4 1 5
1 4 4
1 1 5
2 0 4
4 4 0
0 3 3
1 5 4
5 0 2
5 0 3
10 8
2 4 2
3 0 0
5 1 0
0 3 3
2 5 1
1 0 1
3 3 4
5 4 3
4 3 3
3 4 4
10 6
1 0 2
0 2 2
2 0 4
3 4 1
2 0 2
4 4 3
1 2 0
4 0 2
4 2 0
0 4 1
10 3
2 4 1
2 2 4
4 0 3
3 3 4
4 2 3
3 0 0
4 2 2
2 0 3
2 4 2
2 3 4
10 8
2 1 2
0 2 0
2 2 0
0 0 0
1 1 0
0 1 0
2 2 1
1 1 1
2 2 2
2 0 0
10 6
5 1 1
4 3 5
5 2 4
2 1 2
3 2 0
0 1 0
4 4 2
3 1 1
1 0 4
3 2 4
10 7
0 4 1
4 1 2
4 2 2
3 1 1
3 2 1
4 0 2
0 1 0
0 2 4
1 3 1
3 3 2
10 5
0 5 0
2 4 5
2 2 0
0 0 0
5 0 2
0 4 1
1 5 0
2 3 3
0 0 1
3 3 1
10 3
2 0 1
1 3 3
1 2 3
1 1 0
2 0 3
2 2 3
1 1 3
2 3 3
1 3 0
3 3 2
10 6
3 4 4
3 2 1
0 5 4
1 4 4
4 4 5
3 5 3
0 2 1
3 5 5
0 0 2
1 4 2
10 6
2 1 2
4 1 2
2 0 0
4 1 4
0 1 2
3 3 1
2 4 0
3 4 2
1 0 0
4 3 3
10 2
4 2 0
0 3 1
4 3 4
2 3 1
2 1 3
3 3 2
4 0 2
4 0 3
4 2 3
1 3 2
10 7
4 0 1
2 4 2
0 0 4
1 0 0
1 2 2
0 3 4
2 4 0
1 3 1
2 3 3
2 2 2
10 8
0 0 1
0 1 0
1 1 1
2 2 1
2 0 2
2 1 0
0 0 2
1 0 0
1 1 2
1 2 2
10 5
1 2 2
0 2 0
2 2 2
1 1 1
1 0 1
2 1 0
0 1 2
0 0 1
1 1 0
1 0 2
10 6
3 1 2
3 4 4
0 2 3
3 1 1
2 3 1
0 1 4
0 3 1
0 3 2
3 2 2
4 1 1
10 7
5 4 4
2 3 1
3 4 3
3 2 3
4 4 1
5 0 4
0 4 0
2 0 5
0 4 5
2 2 1
10 3
3 3 0
1 0 2
2 0 0
3 1 1
2 1 1
2 2 1
1 1 3
3 2 1
0 2 1
0 2 0
10 3
2 1 0
2 0 2
0 0 2
1 1 2
2 2 2
1 2 1
0 1 0
0 1 1
1 0 0
0 2 0
10 8
0 3 0
0 0 0
0 5 1
4 0 3
3 2 1
2 3 3
1 1 2
5 5 3
5 1 5
5 1 2
10 3
3 3 0
1 2 0
0 3 1
0 0 3
0 2 0
1 1 3
3 1 3
0 2 2
1 0 0
3 2 2
10 4
5 0 5
4 4 1
0 3 1
1 2 3
5 0 1
5 1 3
5 5 4
1 5 2
0 1 3
4 0 0
10 7
4 0 1
3 3 2
2 3 2
1 1 4
0 3 0
1 5 5
4 2 0
2 3 1
0 1 0
5 2 2
10 4
1 2 1
2 4 1
1 3 0
4 1 3
0 3 1
0 4 1
3 3 0
1 2 2
1 0 4
3 0 4
10 2
0 1 2
1 2 2
1 1 2
2 1 2
2 2 1
0 0 0
0 0 1
1 1 1
1 0 0
0 2 2
10 2
0 2 1
2 2 1
1 1 1
0 2 0
1 2 2
2 0 2
0 2 2
2 1 2
1 2 1
0 1 0
10 4
4 1 1
1 5 2
2 2 0
3 0 3
3 0 1
1 1 1
4 5 0
2 0 2
3 5 5
5 4 3
10 5
2 2 1
2 1 1
1 2 2
3 0 3
3 0 0
3 1 1
3 3 3
1 1 0
2 3 1
3 2 0
10 4
2 2 2
0 2 1
3 2 2
2 1 1
0 1 2
1 2 3
1 0 1
3 3 2
2 3 3
1 2 0
10 8
3 3 2
2 1 1
3 0 3
3 1 1
2 1 2
2 0 0
0 2 2
3 3 3
0 1 3
1 1 3
10 6
3 0 2
1 1 2
2 0 0
2 2 2
0 3 1
3 1 0
1 0 3
2 1 0
0 0 0
0 2 2
10 5
0 5 5
3 3 0
4 2 4
3 4 1
4 4 4
0 3 0
1 3 5
0 0 2
2 5 1
3 2 5
10 2
3 3 3
0 2 3
3 3 1
2 0 2
2 1 3
2 3 1
3 0 3
2 0 3
0 1 2
3 3 0
10 6
0 2 2
2 0 0
0 0 1
0 0 2
0 1 1
0 2 0
2 2 1
2 1 1
2 1 0
1 1 0
10 5
2 3 2
1 4 4
0 4 0
0 0 4
2 3 0
4 2 1
3 0 0
3 0 3
2 1 0
2 0 0
10 8
3 2 0
2 3 1
3 1 3
0 0 2
3 2 1
2 0 1
1 1 2
2 2 1
3 0 1
0 2 1
10 4
2 4 2
1 1 1
3 0 1
4 1 1
1 4 0
1 0 3
0 3 3
0 4 4
2 2 4
4 4 2
10 4
0 2 0
1 0 0
0 0 3
3 0 2
0 1 3
1 1 1
1 0 1
1 1 0
3 3 1
3 3 0
10 4
3 0 1
3 3 2
2 0 0
1 2 3
1 2 1
1 3 2
2 3 0
3 1 3
3 2 3
0 2 3
10 4
4 4 1
1 3 5
2 4 5
0 2 3
0 0 0
4 3 2
1 3 0
4 3 0
5 0 1
4 4 4
10 3
2 0 2
0 2 1
1 0 0
1 0 1
2 2 0
0 0 0
0 1 1
0 2 0
1 1 1
0 1 0
10 7
0 3 1
0 2 3
1 0 2
2 3 2
0 0 2
2 2 0
1 2 2
0 1 1
1 1 3
0 1 0
10 2
4 5 2
2 3 3
1 3 1
2 4 0
2 4 2
3 0 0
2 0 1
0 3 5
4 3 3
1 2 0
10 9
2 0 4
5 5 1
2 1 5
0 5 2
1 1 0
3 5 5
1 4 4
1 5 1
0 4 0
5 1 3
10 7
0 2 1
2 2 2
1 2 0
0 0 1
2 0 1
0 1 0
0 0 0
2 1 2
0 1 2
2 1 0
10 3
0 2 2
2 0 2
0 1 1
0 0 2
2 2 1
1 1 0
1 0 0
2 2 0
2 1 1
1 2 2
10 6
0 2 3
2 2 2
3 3 2
1 1 2
0 3 2
1 0 2
3 3 0
2 3 1
3 0 0
2 2 3
10 9
2 0 2
2 2 1
0 1 0
2 1 2
1 2 0
1 0 0
0 0 2
1 2 1
0 1 1
0 1 2
10 6
2 0 1
2 1 2
0 1 0
1 0 0
0 2 0
0 2 1
2 1 1
2 2 1
2 2 2
0 0 0
10 7
1 1 1
2 2 0
1 1 0
0 1 0
1 2 2
0 0 2
1 2 0
2 0 2
0 1 1
2 1 0
10 2
1 4 1
2 4 1
4 1 0
0 4 1
0 2 3
2 1 0
0 2 2
3 0 1
2 4 4
1 2 2
10 3
1 0 3
0 1 1
2 1 3
0 0 2
1 1 2
0 1 0
3 3 0
2 0 1
2 0 2
3 2 3
10 9
2 0 2
0 0 1
0 0 0
1 2 1
1 0 0
1 1 2
0 2 0
2 1 2
1 1 1
2 1 0
10 2
4 2 4
2 0 1
2 1 4
2 2 1
4 0 1
3 2 4
2 2 2
3 0 2
3 1 4
4 0 2
10 9
1 2 2
4 4 3
2 4 2
2 0 1
4 0 1
2 1 3
3 0 2
2 3 3
1 2 0
0 0 0
10 5
4 1 1
1 2 3
0 3 0
0 4 0
3 2 1
3 2 0
1 3 4
4 3 3
1 4 1
2 1 1
10 3
5 0 5
2 0 3
4 2 2
1 2 0
0 2 2
1 2 3
3 3 4
2 3 4
3 3 3
1 1 4
10 3
1 2 2
0 2 2
2 1 1
1 0 0
0 0 1
1 0 2
1 2 0
1 0 1
2 1 2
0 1 1
10 3
2 2 1
2 0 1
2 2 2
0 0 1
1 1 2
2 0 0
1 0 1
0 2 0
1 2 0
0 2 2
10 5
0 2 1
0 1 1
0 2 0
3 1 1
3 1 0
2 1 2
0 3 1
3 1 2
2 2 3
2 0 0
10 6
2 0 0
4 5 1
4 0 4
0 5 2
1 1 5
3 2 4
1 2 0
2 4 2
5 3 1
3 5 3
10 5
0 0 3
1 1 2
1 2 1
3 0 2
0 2 3
3 3 2
1 1 3
3 1 0
3 0 0
2 0 1
10 9
3 0 3
4 1 4
1 0 4
4 3 1
2 3 4
0 0 1
4 4 1
3 1 2
3 1 0
2 4 0
10 7
0 0 1
2 1 0
1 0 0
0 1 1
0 0 0
0 2 0
1 1 2
1 2 1
1 2 0
0 2 2
10 3
0 2 1
0 3 2
2 0 0
3 0 1
0 2 3
3 3 1
2 1 3
3 0 2
2 2 3
3 0 0
10 2
2 2 2
0 2 5
0 5 3
4 5 0
3 0 2
5 0 3
4 5 2
1 1 4
1 1 3
1 5 2
10 6
3 1 0
3 3 2
3 0 0
3 0 3
1 0 3
2 2 1
1 3 3
1 3 2
2 1 1
1 3 1
10 7
5 5 3
3 4 5
0 5 2
5 4 1
2 0 4
0 1 1
1 4 3
5 5 1
2 1 1
5 0 1
10 2
0 0 2
2 2 1
0 0 1
1 1 0
0 1 1
1 2 0
0 1 2
2 1 0
2 2 2
1 1 1
10 6
1 3 0
3 4 4
4 3 1
1 2 0
2 0 4
3 4 2
0 2 1
4 3 3
2 4 2
1 1 1
10 8
1 0 1
0 1 3
2 1 3
2 3 2
2 1 0
2 2 1
2 0 3
1 0 0
2 1 2
2 0 0
10 2
2 2 1
0 1 0
0 1 2
0 1 1
0 0 2
1 0 0
1 1 1
0 2 0
2 1 1
0 2 2
10 4
5 3 5
5 2 2
2 2 5
4 2 3
1 4 1
3 1 5
4 5 1
2 5 3
0 1 4
3 2 5
10 9
2 3 3
0 2 0
2 3 2
0 0 1
0 1 2
2 2 1
2 1 1
2 2 3
2 0 3
2 0 2
10 7
1 2 2
0 1 1
2 2 0
0 2 1
2 2 1
1 1 1
0 1 2
0 0 0
1 2 1
1 1 0
10 7
2 1 0
2 0 0
2 2 1
1 2 0
1 0 0
0 0 0
1 1 2
1 0 2
2 2 0
0 1 0
10 4
3 1 0
1 0 2
0 1 2
3 3 1
2 1 3
3 3 2
0 2 3
3 2 2
0 0 0
1 2 1
10 6
0 0 3
3 3 3
0 2 3
3 2 3
2 2 1
3 1 3
1 3 3
0 0 1
3 1 2
1 2 1
10 5
0 0 3
1 2 1
2 3 3
0 0 1
0 3 3
2 1 3
1 2 0
2 3 1
0 0 0
0 3 0
10 9
2 2 5
2 3 2
5 5 4
4 1 4
5 0 0
2 4 2
0 0 3
3 5 2
5 3 3
4 4 3
10 6
1 3 5
0 3 2
3 2 4
2 1 4
2 3 2
3 2 0
2 4 4
4 0 2
4 0 4
3 1 1
10 3
1 3 2
1 0 0
2 0 1
1 1 1
2 1 0
3 2 3
0 2 3
2 3 3
0 1 0
3 1 2
10 2
2 0 0
3 2 2
0 0 1
0 3 0
2 1 1
0 1 1
1 2 0
0 1 3
3 1 2
2 2 3
10 7
0 1 0
4 3 1
1 3 4
0 0 4
4 1 3
2 2 0
4 0 4
2 1 0
4 2 0
4 2 2
10 4
1 0 3
1 1 5
1 2 5
3 1 2
2 4 3
2 1 5
2 3 5
5 1 3
2 4 1
1 2 0
10 4
2 0 2
1 0 0
2 2 0
1 2 0
1 2 2
0 1 0
2 2 2
0 0 1
1 0 2
2 0 1
10 7
5 0 1
5 5 0
5 5 3
1 2 1
0 3 4
0 1 3
4 4 5
2 2 1
0 1 2
2 5 1
10 9
0 0 2
1 2 2
1 1 2
0 0 1
2 1 1
2 0 1
0 1 0
2 1 0
1 1 1
1 0 2
10 6
2 1 0
2 0 1
1 1 2
3 0 1
0 1 1
0 1 2
0 2 3
3 3 1
2 2 1
3 1 2
10 9
2 2 2
2 1 0
0 0 2
1 2 0
1 2 2
0 2 1
0 0 1
2 1 1
2 0 2
1 1 1
10 9
3 2 2
1 2 3
0 0 4
2 3 5
4 2 1
5 1 3
5 3 5
1 2 0
2 5 1
3 0 0
10 2
0 5 4
3 2 3
4 0 5
0 0 3
1 2 3
5 3 4
2 4 5
3 1 4
1 1 1
4 1 5
10 8
0 1 0
0 0 1
0 2 0
2 2 2
0 1 2
1 2 2
2 0 0
0 1 1
1 1 1
2 1 2
10 9
0 1 2
1 2 1
2 0 1
0 2 0
2 1 2
0 1 1
2 2 0
2 0 2
1 0 2
1 2 0
10 7
2 0 2
0 2 0
3 2 0
0 2 2
0 0 0
0 2 3
3 1 2
2 1 3
3 3 0
3 2 2
10 8
5 4 2
0 4 2
4 5 1
2 1 4
5 4 3
0 0 4
1 0 0
0 4 4
0 4 5
0 2 5
10 2
3 3 2
0 0 1
2 2 3
0 1 2
1 0 2
0 3 0
2 1 3
2 3 2
2 0 0
2 2 1
10 5
3 2 4
5 4 1
3 1 4
5 1 5
0 1 5
4 5 1
3 5 4
1 0 0
1 4 1
5 5 1
10 6
2 2 0
1 4 0
1 3 2
2 2 4
1 1 4
3 1 4
0 3 1
0 4 1
3 4 0
2 4 2
10 4
2 2 1
0 0 0
0 1 1
0 2 0
2 0 0
0 2 2
1 1 1
2 2 2
1 2 0
1 1 2
10 7
1 2 2
3 1 2
1 3 2
3 0 1
0 3 2
0 1 1
0 0 2
1 3 3
2 3 0
1 0 2
10 4
2 1 0
2 2 2
2 0 0
1 1 1
1 2 2
0 2 0
1 1 0
0 1 0
1 1 2
2 1 2
10 6
3 1 4
4 0 1
4 3 4
4 1 5
0 2 3
1 2 3
3 5 5
1 1 4
1 2 4
4 5 4
10 4
1 1 2
1 0 2
2 2 3
3 1 2
4 3 0
3 0 5
0 2 3
4 4 2
0 5 3
1 3 3
10 7
2 1 1
0 2 0
3 0 0
1 0 0
0 0 0
3 2 1
3 2 0
3 3 3
1 1 2
3 3 0
10 2
1 5 3
4 2 5
5 1 1
4 4 2
0 1 5
0 5 4
1 5 5
0 2 0
2 5 1
3 2 0
10 6
3 1 4
1 4 0
4 0 0
2 1 3
1 2 0
0 4 1
2 4 2
2 1 1
0 3 4
2 2 3
10 5
1 3 3
1 2 2
5 1 1
5 5 3
0 1 3
1 4 4
0 0 1
0 3 4
2 2 4
2 3 1
10 4
1 0 2
0 2 0
1 2 1
1 1 2
2 0 1
2 1 1
2 0 0
0 2 2
1 2 0
2 1 0
10 7
3 3 3
1 3 2
0 0 1
3 2 2
3 1 1
2 2 0
0 2 3
0 1 2
2 2 2
3 2 1
10 3
1 0 0
0 0 3
3 2 0
2 0 2
1 3 1
1 3 3
1 3 0
3 0 0
0 4 3
2 3 0
10 4
5 5 5
2 4 5
1 4 0
0 5 5
5 2 0
0 3 3
5 5 4
5 0 0
5 4 3
4 0 0
10 6
0 1 1
2 1 0
1 1 0
2 2 2
0 1 2
2 1 2
1 1 2
0 0 2
2 1 1
1 0 1
10 8
3 0 2
0 4 4
4 3 5
1 1 0
3 1 2
2 4 5
1 5 3
4 0 1
2 0 3
4 5 4
10 9
2 1 1
2 2 1
0 1 0
1 0 1
1 2 0
2 0 0
0 0 1
2 0 2
0 2 2
0 0 2
10 9
1 3 0
1 2 2
3 2 3
0 1 1
3 0 2
0 2 3
0 2 0
2 2 1
3 0 3
0 3 0
10 2
3 1 3
1 3 4
2 4 4
1 0 1
4 0 3
1 3 2
1 4 4
4 3 4
0 0 2
2 0 2
10 9
3 3 2
1 2 0
2 2 0
2 2 2
1 2 3
2 0 1
1 3 0
2 3 2
3 0 0
2 3 3
10 2
0 3 3
5 2 5
2 1 3
1 3 3
1 0 1
3 5 0
5 4 2
3 5 2
3 2 3
1 0 4
10 2
2 2 3
3 3 2
1 3 3
1 3 1
1 2 0
0 1 1
3 0 0
1 1 0
1 0 2
3 1 0
10 6
0 0 0
3 3 3
2 2 3
3 3 2
1 1 3
3 0 0
0 1 3
1 1 1
0 0 1
3 0 2
10 4
0 1 2
2 1 0
1 1 2
1 0 2
0 0 1
0 0 0
1 0 1
2 0 0
0 2 0
2 2 0
10 4
1 0 0
0 0 1
2 1 0
2 0 2
1 2 0
1 1 0
0 1 2
2 1 2
0 0 2
2 2 2
10 7
3 0 1
0 3 0
2 3 0
2 2 1
1 1 0
0 0 0
1 0 0
0 2 3
1 3 1
2 1 2
10 9
0 1 1
3 3 5
2 3 5
2 1 4
5 3 1
0 4 5
4 0 3
0 0 4
1 3 2
4 0 1
10 7
0 0 2
4 1 4
2 0 0
2 5 3
0 3 4
5 0 4
2 5 5
3 5 3
0 0 3
0 5 0
10 4
4 4 4
4 0 4
3 3 0
2 2 1
3 3 1
2 2 2
1 0 2
3 1 0
0 2 4
2 4 3
10 4
2 2 2
4 3 3
3 4 1
1 0 4
2 3 3
1 4 3
3 1 4
2 1 1
3 0 2
4 4 0
10 6
0 5 5
3 3 5
2 5 2
0 5 3
3 0 1
0 3 5
5 4 5
2 0 3
0 3 0
4 4 4
10 2
1 3 0
4 2 3
3 0 1
3 3 1
0 3 0
0 0 2
4 2 1
0 4 2
4 1 3
0 3 3
10 3
0 3 3
1 2 3
1 1 3
3 4 0
1 0 4
4 2 0
4 1 1
0 0 2
4 0 1
4 4 3
10 5
2 1 0
1 0 0
1 2 2
1 2 0
2 1 2
0 2 2
1 2 1
0 0 2
0 0 0
2 2 2
10 9
0 2 2
1 0 0
1 2 2
2 0 0
0 2 0
1 1 0
0 0 1
2 2 2
2 2 0
0 1 0
10 3
1 3 3
1 1 3
1 3 0
3 0 0
0 0 2
2 2 0
2 1 2
3 0 1
2 0 1
0 2 2
10 9
4 1 3
1 5 4
1 5 2
3 1 4
4 4 2
4 2 0
1 2 5
3 2 5
5 4 0
0 3 5
10 3
0 0 0
1 1 1
0 2 0
0 2 1
2 0 0
1 1 2
1 0 1
2 1 0
1 2 1
0 0 2
10 6
1 1 1
2 1 4
1 0 1
2 3 4
3 2 2
1 3 0
0 1 1
3 0 2
4 1 4
4 2 1
10 4
1 3 0
3 1 1
0 1 2
0 1 1
2 3 3
3 0 1
3 3 3
0 1 3
1 0 2
3 1 2
10 3
0 0 2
2 2 2
0 1 1
4 3 0
1 0 1
1 1 3
4 1 1
2 2 3
3 2 4
1 3 2
10 7
1 0 4
1 3 0
1 2 1
1 3 3
3 1 2
3 4 2
4 0 3
3 4 0
0 4 4
2 1 4
10 2
4 4 1
0 1 3
1 3 3
0 2 2
3 2 1
0 2 3
4 4 4
0 0 0
4 3 2
2 0 3
10 2
3 0 1
0 3 0
0 3 3
1 1 0
1 0 0
3 3 3
2 2 2
3 3 1
2 3 2
2 2 3
10 2
2 4 1
3 0 1
1 3 4
2 1 4
3 4 0
0 1 0
0 3 3
4 0 3
1 4 3
2 2 1
10 6
2 4 2
0 5 5
4 3 2
1 1 1
4 2 2
4 4 1
3 4 1
0 5 1
2 1 4
5 5 0
10 4
1 2 2
0 0 0
0 2 2
2 0 2
1 2 0
0 0 2
0 2 1
0 2 0
1 0 0
0 0 1
10 3
0 3 4
5 4 0
3 4 1
2 0 3
3 5 5
1 3 2
4 0 4
0 0 2
0 5 1
4 3 1
10 7
2 2 2
4 0 4
4 1 4
1 0 2
2 0 5
2 3 0
3 1 4
5 1 5
2 0 2
1 2 1
10 9
2 1 2
2 2 1
2 3 0
1 3 1
0 1 0
2 1 1
1 0 0
0 2 2
1 1 0
0 0 2
10 5
1 3 1
1 1 0
1 3 0
0 2 1
2 1 3
0 0 2
3 1 0
0 3 0
0 2 0
0 1 3
10 5
2 1 2
3 0 2
3 3 0
4 3 0
2 0 4
4 1 3
2 2 3
0 1 3
0 0 2
4 0 2
10 6
4 1 0
4 4 5
4 3 2
0 1 5
5 1 0
5 2 5
0 3 3
3 0 1
4 4 3
0 1 2
10 9
3 1 1
2 3 2
3 0 2
3 2 2
1 1 1
2 1 1
0 1 2
2 0 2
2 2 2
0 0 2
10 6
2 3 1
1 2 2
0 0 3
4 0 0
2 4 2
3 4 4
4 5 2
0 2 0
1 0 3
1 2 1
10 6
2 0 5
1 4 5
1 3 3
0 0 3
3 5 5
1 3 0
2 4 3
0 3 0
3 2 0
0 4 4
10 3
2 3 2
3 2 3
2 0 3
1 3 1
2 1 3
4 0 2
3 0 2
0 1 0
1 0 2
0 4 0
10 4
1 1 0
1 1 2
1 2 2
0 3 1
0 3 2
1 2 3
0 3 0
3 0 1
0 0 2
3 2 1
10 8
4 2 3
3 1 1
1 3 2
1 0 1
4 2 1
4 4 2
4 4 1
0 4 0
0 4 4
1 0 0
10 3
2 3 0
3 2 2
3 1 2
3 0 3
4 1 0
0 1 0
0 0 3
1 4 4
1 1 4
3 3 0
10 3
1 2 0
4 0 3
4 2 5
4 4 1
0 1 4
3 1 5
3 0 4
3 3 3
5 1 5
0 5 2
10 9
3 0 0
0 4 2
3 2 3
0 0 4
3 4 1
2 0 0
0 1 3
4 4 2
4 0 3
3 1 4
10 7
4 1 2
2 1 4
1 4 1
1 4 2
0 4 3
1 1 1
1 0 2
1 0 4
1 2 4
1 4 3
10 3
1 5 1
2 4 0
0 4 2
1 0 1
0 5 1
0 4 4
2 0 2
4 0 4
0 4 1
3 0 3
10 2
5 2 0
0 1 2
1 4 2
3 3 4
5 1 2
3 1 0
0 5 2
0 1 3
5 0 2
3 0 4
10 4
1 0 2
2 1 0
1 1 2
0 3 1
1 3 1
3 1 3
0 1 0
2 3 1
2 3 0
0 2 1
10 8
1 0 2
4 1 4
2 0 2
4 0 3
4 1 2
4 0 0
4 2 1
2 0 1
1 1 2
2 4 1
10 7
2 0 2
1 2 1
0 0 2
0 2 0
2 2 1
0 2 2
2 0 1
0 0 0
1 1 2
1 2 2
10 6
4 0 2
3 2 0
5 0 0
2 3 3
1 4 3
3 5 0
3 4 0
1 5 2
0 0 3
0 5 1
10 8
4 4 2
2 1 0
2 3 4
1 0 0
4 4 0
0 0 2
4 2 0
0 2 1
3 1 1
4 3 0
10 9
1 0 1
0 1 0
0 0 1
2 2 1
1 3 2
2 1 1
3 1 1
1 3 1
1 1 2
1 2 3
10 4
2 1 0
3 1 0
1 2 2
0 0 3
3 2 1
2 0 4
1 0 3
4 0 3
0 0 2
2 0 1
10 4
2 2 4
5 3 4
5 0 0
0 3 4
1 4 3
0 5 0
4 2 1
2 4 3
1 3 0
1 0 4
10 9
0 2 0
2 1 0
1 2 2
0 0 2
1 0 1
0 0 0
1 1 0
1 0 0
1 1 2
1 0 2
10 4
1 2 3
1 4 3
4 1 1
2 3 1
4 1 2
3 2 2
2 0 4
3 2 0
0 4 0
3 1 1
10 7
1 2 0
2 1 2
1 0 1
3 3 3
0 0 3
0 1 1
0 0 2
1 0 2
0 3 2
2 0 3
10 5
2 2 2
2 0 0
1 2 2
1 0 0
2 0 2
0 1 1
0 1 2
1 0 2
0 1 0
0 0 2
10 4
3 5 1
0 4 5
2 1 5
5 0 5
2 1 1
5 3 3
0 2 4
4 3 4
4 5 0
5 2 2
10 9
3 1 1
3 0 0
4 0 2
4 1 1
3 4 3
0 3 2
4 4 0
4 2 3
1 1 4
4 3 3
10 8
3 3 0
1 1 3
3 1 0
3 2 0
3 2 3
3 0 0
2 0 3
1 0 0
2 0 0
2 0 1
10 3
2 1 0
0 1 0
0 0 0
2 2 2
2 0 1
1 1 2
0 0 2
2 1 2
1 2 0
2 2 0
10 4
2 0 2
0 1 1
0 2 2
2 1 1
2 0 0
1 1 0
0 1 2
2 0 1
1 1 1
1 0 2
10 7
0 1 1
2 0 2
1 1 2
1 0 0
1 2 2
1 0 2
1 0 1
2 1 0
0 1 2
0 1 0
10 7
4 1 2
2 1 2
2 1 1
1 4 3
1 3 0
0 0 1
0 1 3
4 0 0
4 2 1
4 2 2
10 2
1 0 0
1 2 2
1 1 0
0 2 2
2 2 0
0 0 0
1 2 0
0 2 1
0 1 0
0 2 0
10 9
3 2 1
2 0 5
0 3 0
5 2 0
5 4 0
0 5 4
3 5 3
2 3 0
0 3 3
2 3 2
10 5
3 2 3
1 0 1
0 0 0
2 0 3
2 1 3
3 0 0
0 1 1
1 3 3
3 1 1
2 1 2
10 5
1 0 0
1 1 3
0 3 1
2 2 3
2 0 2
3 0 1
0 3 2
0 1 2
0 1 3
1 1 1
10 2
2 0 2
0 1 0
2 1 0
2 2 2
0 0 0
0 2 2
1 2 2
1 0 1
2 1 1
0 2 1
10 8
0 0 0
1 2 3
0 1 3
0 3 2
2 0 2
2 1 0
0 0 3
1 1 2
2 2 1
0 2 2
10 4
2 1 1
0 0 1
0 0 0
0 1 1
0 2 1
1 2 2
0 1 2
1 2 0
2 2 1
2 2 0
10 7
1 1 3
0 0 2
0 2 0
0 3 0
3 3 3
1 0 1
2 1 0
3 0 3
0 3 2
2 2 1
10 6
3 2 4
4 1 4
1 4 2
0 4 4
2 4 2
4 4 4
0 1 0
0 2 3
3 4 4
3 4 0
10 8
1 0 2
3 2 0
0 0 4
0 1 1
0 3 0
0 0 1
2 0 2
4 3 2
2 4 2
2 0 4
10 5
2 2 1
1 2 2
1 0 0
0 1 1
1 1 2
0 1 0
1 1 0
1 2 0
2 1 0
0 2 0
10 4
1 1 0
1 0 0
2 0 2
0 2 0
0 0 3
3 0 3
1 3 0
2 3 2
2 1 3
1 0 1
10 6
2 1 0
2 2 0
1 1 0
1 0 1
0 2 1
2 1 2
1 1 2
1 2 0
0 1 1
0 2 2
10 4
1 2 2
1 0 2
0 1 0
1 1 0
2 2 0
1 1 2
1 0 1
0 2 1
0 0 1
1 2 1
10 8
3 1 2
2 0 2
1 1 0
3 0 1
3 3 2
0 2 3
0 3 2
0 1 3
2 0 1
1 3 2
10 9
2 0 3
5 4 4
5 5 3
3 0 2
1 1 3
0 2 5
3 1 1
2 2 4
1 0 5
4 5 1
10 6
1 1 3
0 3 2
1 3 1
3 2 2
1 2 2
3 0 2
0 1 1
2 2 3
0 1 3
0 2 1
10 8
3 2 3
2 1 2
0 3 1
2 2 2
1 1 1
3 3 3
3 3 0
1 2 3
3 0 2
1 2 0
10 4
0 0 2
2 0 0
2 0 1
1 2 2
1 2 0
0 1 0
1 0 2
2 2 0
0 1 1
2 2 2
10 3
0 3 0
0 4 0
2 0 3
3 0 4
2 4 1
3 0 2
3 1 2
2 3 2
4 2 2
1 4 0
10 2
2 3 5
3 4 5
3 0 0
5 5 3
2 2 5
3 4 3
2 5 2
5 1 2
2 4 5
3 3 2
10 2
0 1 3
2 2 3
2 3 1
3 0 2
3 2 3
1 3 0
1 2 0
0 0 2
2 0 1
3 3 2
10 7
2 3 0
2 1 3
0 3 2
2 2 3
1 1 2
3 2 0
1 0 0
3 0 1
3 3 0
2 3 3
10 3
3 2 2
3 3 0
2 3 3
3 1 1
1 3 0
3 0 1
2 0 3
3 3 1
1 3 3
2 2 0
10 6
2 3 1
3 3 2
1 2 1
3 0 3
1 0 2
2 0 2
2 1 3
2 1 2
0 1 3
0 3 2
10 7
2 0 1
0 2 0
0 3 2
1 3 0
1 2 3
0 0 1
1 1 3
2 2 2
2 0 0
2 1 2
10 8
5 3 5
3 4 2
2 4 2
5 1 3
5 2 2
5 1 0
3 1 3
0 3 0
3 4 4
2 1 3
10 9
1 5 4
2 5 3
0 3 1
0 2 0
0 5 4
2 1 2
5 1 4
2 3 4
4 3 5
0 3 0
10 9
1 0 1
2 1 0
1 1 2
2 0 1
1 0 2
0 1 0
0 1 2
0 1 1
2 0 2
1 2 0
10 7
1 2 0
3 4 3
4 1 3
3 3 2
0 0 2
0 4 0
2 4 2
4 0 1
4 3 2
4 1 4
10 2
1 2 4
3 3 4
1 2 3
3 3 2
0 1 2
2 0 2
2 0 0
3 4 1
3 3 1
4 0 4
10 6
0 0 2
0 2 2
2 0 2
0 3 0
1 1 1
1 1 2
1 2 3
2 1 3
0 3 2
0 1 1
10 7
0 3 3
1 4 1
0 0 5
0 1 2
5 3 0
1 2 2
4 4 5
4 1 3
1 3 3
5 2 0
10 7
3 0 2
4 2 1
3 3 4
0 1 2
1 4 0
4 2 3
2 0 2
3 1 1
0 1 3
1 0 0
10 8
1 3 2
1 2 2
3 1 0
1 1 3
1 0 4
1 2 3
2 2 1
4 2 5
2 5 4
4 1 4
10 3
2 2 1
3 1 0
0 3 2
0 2 0
0 0 0
0 1 3
3 3 1
1 3 1
1 1 2
3 2 0
10 8
3 0 2
0 3 1
0 1 0
3 2 1
0 3 0
1 0 0
3 1 3
3 3 1
2 1 1
2 1 3
10 6
3 3 0
1 1 1
1 2 3
0 3 3
2 1 1
1 3 2
2 0 2
3 1 2
3 0 3
2 2 3
10 5
2 4 2
4 3 4
3 1 1
3 1 0
0 3 4
0 0 0
2 0 2
4 2 1
2 4 1
4 1 4
10 9
1 2 1
3 2 1
0 2 0
0 2 2
3 1 3
2 2 3
2 2 1
1 1 1
1 1 0
3 2 2
10 6
0 1 3
1 4 3
4 4 4
1 0 0
4 0 3
1 0 5
0 5 2
5 4 1
3 4 3
1 5 2
10 6
0 4 2
4 2 2
2 2 3
4 4 2
0 3 0
0 4 0
2 1 1
3 1 3
1 4 4
0 0 0
10 9
1 0 0
0 2 2
0 2 0
1 2 1
2 2 0
1 2 0
0 0 2
1 1 0
0 2 1
0 1 2
10 5
0 1 0
1 0 2
0 0 3
1 2 3
2 3 0
2 2 1
1 1 0
0 3 0
3 1 3
1 0 3
10 7
2 2 0
1 1 1
1 2 0
2 1 0
2 0 2
0 0 2
1 2 1
2 2 2
0 2 1
0 1 0
10 8
1 2 1
4 4 3
1 1 4
3 0 3
4 1 2
4 3 1
3 3 0
2 4 0
0 1 1
4 3 2
10 7
2 3 2
3 3 2
2 4 2
4 1 2
3 0 2
0 2 2
3 4 2
0 4 2
2 3 1
2 0 1
10 6
1 1 0
0 3 2
0 0 3
2 2 2
3 1 3
2 1 1
0 3 0
3 2 2
3 0 3
0 0 0
10 5
3 3 0
2 0 0
1 1 0
1 1 2
2 3 2
3 1 1
1 0 1
3 1 3
1 3 1
0 0 3
10 9
1 2 2
1 0 1
2 2 3
1 1 0
3 0 0
2 2 2
1 1 3
0 1 0
1 2 3
3 0 1
10 5
3 2 5
5 5 4
4 5 4
0 1 5
0 2 3
4 1 1
4 2 3
2 1 3
4 3 4
4 0 5
10 6
1 3 4
3 1 0
1 1 0
3 0 0
4 0 1
4 2 5
0 4 2
2 0 1
1 3 1
1 5 3
10 5
4 1 2
2 3 1
2 2 3
3 4 4
1 3 2
3 4 1
4 0 1
1 4 3
1 0 0
0 2 1
10 4
3 0 1
4 1 3
4 3 1
1 4 3
4 0 1
1 1 0
0 0 1
3 0 0
3 4 1
2 2 0
10 3
0 0 1
2 1 2
0 2 1
0 0 2
1 2 0
2 0 1
0 2 2
1 2 1
1 0 0
2 2 1
10 8
1 1 3
2 0 0
2 1 1
2 3 0
0 1 1
2 3 1
2 1 0
2 0 2
3 3 1
1 2 1
10 2
3 0 3
1 2 0
2 1 2
2 3 3
1 0 0
2 2 0
3 3 1
0 2 2
2 2 1
3 3 2
10 2
4 1 2
5 1 1
0 2 3
3 2 4
4 2 1
2 3 2
0 0 2
1 3 1
5 5 5
0 3 3
10 6
1 0 1
0 2 1
2 1 0
1 1 0
2 2 1
2 0 2
2 2 2
1 2 0
1 0 2
1 0 0
10 5
3 2 2
0 0 3
2 4 4
0 0 4
1 1 3
1 4 4
1 2 4
2 4 2
3 2 0
3 3 2
10 5
0 1 3
3 2 3
1 0 3
1 1 0
2 0 3
3 2 0
2 0 1
2 0 2
0 0 2
0 0 1
10 3
3 4 3
4 0 3
4 3 0
2 4 4
5 0 5
4 1 1
5 0 3
0 1 4
3 3 3
5 2 5
10 9
2 3 3
0 1 3
1 0 0
3 3 2
2 2 2
1 1 3
3 3 0
1 2 0
2 0 0
0 0 1
10 6
0 2 1
1 1 0
3 1 0
0 1 3
2 3 1
3 2 3
2 2 0
3 3 3
3 2 2
1 2 0
10 4
3 1 0
3 0 2
0 3 3
2 1 1
0 0 1
2 0 3
1 2 2
1 0 1
2 3 2
2 2 1
10 5
4 2 3
1 4 1
4 2 1
0 2 1
0 0 1
3 2 3
0 1 4
2 0 4
2 3 2
2 2 4
10 9
2 3 0
1 1 3
1 0 2
2 0 3
2 0 2
1 2 3
1 0 1
2 2 3
3 0 1
0 0 3
10 7
2 2 5
0 2 2
5 2 3
5 5 5
0 5 4
2 3 0
1 1 1
1 5 4
4 5 4
3 4 5
10 3
2 4 5
2 2 4
1 3 0
2 3 2
4 0 2
2 2 0
2 0 3
4 0 3
3 1 2
3 1 5
10 5
1 2 1
0 1 1
2 2 0
2 0 0
0 0 0
1 2 2
0 1 0
0 0 2
2 1 2
2 0 1
10 4
1 2 2
0 2 0
1 2 0
0 1 2
2 0 0
1 0 0
2 1 0
2 2 2
1 1 0
1 1 1
10 2
2 0 1
2 1 2
1 2 2
0 0 0
2 0 2
2 1 1
2 2 0
1 2 0
1 0 2
0 2 1
10 4
0 1 0
1 0 2
2 2 1
0 0 2
2 0 0
2 0 1
1 2 0
1 1 1
1 1 2
1 2 2
10 7
1 0 1
2 2 0
2 1 0
1 2 1
1 1 0
2 0 1
2 2 2
0 2 2
0 1 0
1 2 2
10 6
1 3 4
2 5 1
4 0 5
4 3 4
2 2 3
5 1 4
3 5 4
5 4 3
3 3 5
1 5 2
10 7
1 3 5
3 3 4
2 2 4
1 2 2
0 4 5
1 4 3
4 2 2
0 0 0
5 0 5
5 1 1
10 8
3 0 3
2 0 0
0 3 3
0 3 0
1 0 1
0 1 3
0 1 1
0 0 0
2 2 1
3 2 3
10 4
1 3 3
1 1 0
1 4 0
3 2 4
4 4 4
1 3 4
3 0 1
3 0 2
4 2 4
3 0 4
10 2
3 2 3
0 0 4
0 4 4
3 4 3
0 3 1
2 2 1
2 0 2
2 3 1
4 2 2
2 0 4
10 7
1 1 0
0 0 3
2 0 1
1 3 3
2 2 1
2 2 2
3 0 1
1 2 3
2 3 2
1 2 1
10 7
2 2 0
1 3 0
2 1 1
1 3 3
2 1 2
3 1 1
0 0 3
1 0 1
0 2 2
0 3 2
10 9
0 2 2
1 0 1
0 1 1
2 0 2
2 0 0
1 1 1
1 2 2
0 2 0
1 1 2
2 2 1
10 2
2 2 1
1 2 1
0 1 0
3 2 2
0 0 3
1 2 3
3 3 3
3 1 1
3 0 3
1 0 3
10 8
0 1 1
4 2 1
4 3 4
4 2 2
0 3 1
0 4 0
4 3 2
3 2 4
3 0 0
4 1 0
10 9
0 1 1
2 0 2
1 0 1
0 0 1
2 1 0
1 1 1
1 0 0
0 0 0
2 1 2
1 1 2
10 9
0 2 2
0 2 0
2 2 2
1 2 1
1 0 1
1 0 2
0 0 1
2 2 1
1 1 0
1 1 1
10 8
0 5 0
4 0 1
2 2 3
1 4 2
2 2 4
3 2 4
0 3 4
0 1 4
3 0 1
5 2 0
10 2
1 1 2
0 2 2
2 1 0
0 2 1
0 0 1
2 2 0
1 1 0
0 0 2
1 1 1
1 2 1
10 8
0 1 1
0 1 0
1 1 0
0 0 2
1 1 1
0 0 0
2 0 2
1 0 1
2 1 2
2 2 1
10 5
1 1 3
1 3 2
0 2 2
2 2 0
2 1 3
3 1 0
2 0 1
2 1 0
1 2 2
0 3 1
10 4
2 2 0
3 3 4
1 0 0
3 2 4
4 4 3
0 2 0
1 1 4
3 4 3
1 4 3
3 0 1
10 3
4 0 1
3 2 0
4 3 2
0 3 0
3 2 1
2 0 3
2 0 4
0 0 3
4 4 3
2 3 3
10 9
3 1 0
0 0 1
3 0 1
0 2 0
2 3 1
3 0 3
1 0 1
2 0 2
1 2 1
3 2 3
10 8
3 1 1
4 2 0
3 0 5
1 5 2
2 0 0
2 3 3
5 4 5
1 3 3
1 1 2
3 5 3
10 8
1 1 2
2 1 0
3 3 1
0 0 1
3 2 1
3 1 3
2 1 1
0 1 0
0 3 0
1 2 3
10 2
2 4 1
5 0 5
2 1 5
4 1 4
0 1 1
1 3 4
2 5 3
4 5 3
2 3 5
3 1 4
10 5
4 3 5
1 2 3
4 3 3
2 5 5
5 3 2
5 2 0
0 2 3
2 5 1
4 5 1
2 0 4
10 9
4 4 3
2 3 1
3 4 4
3 1 3
2 4 4
2 3 0
1 3 2
3 2 0
0 1 0
0 4 0
10 9
0 2 2
0 0 2
3 2 0
3 3 2
0 3 3
2 1 1
2 0 2
3 0 1
1 1 2
1 3 2
10 3
1 0 1
1 2 0
1 0 2
2 2 0
2 1 0
0 0 2
1 1 2
0 2 2
2 0 0
0 0 0
10 8
3 2 0
0 0 3
4 3 2
1 0 0
3 1 1
3 0 4
4 3 4
1 1 3
3 1 2
1 2 1
10 7
2 2 0
3 3 2
0 0 2
3 2 1
3 1 2
0 2 2
0 1 1
0 3 0
1 3 3
3 0 0
10 3
1 3 2
1 2 2
3 3 1
3 0 0
3 2 2
2 0 3
1 0 2
3 1 2
2 3 2
3 1 0
10 4
3 0 1
4 1 3
4 3 2
0 3 1
4 2 3
0 2 0
2 4 0
3 4 3
3 2 0
4 4 3
10 6
3 4 3
3 3 1
4 0 3
3 0 0
1 0 3
1 4 1
0 2 4
3 2 0
0 1 4
0 0 2
10 6
3 3 2
0 0 3
1 2 3
2 3 1
1 1 1
0 3 1
2 0 1
0 3 3
1 1 0
0 3 2
10 8
2 4 1
1 0 1
2 0 0
3 1 3
1 1 1
3 3 0
2 0 2
3 1 1
3 4 0
4 1 0
10 9
0 3 4
5 4 2
2 5 2
0 0 2
0 3 3
0 5 3
3 2 2
1 5 0
4 3 5
2 0 4
10 5
2 1 2
2 1 1
1 2 1
2 2 0
1 2 2
1 0 0
1 1 1
2 0 0
2 1 0
0 1 2
10 5
3 3 0
0 4 2
2 3 1
3 0 1
1 1 0
3 3 2
1 1 2
0 1 1
1 4 0
4 2 0
10 7
1 2 1
2 2 1
1 2 0
0 0 0
2 1 2
1 1 1
2 2 2
0 1 2
2 2 0
2 1 0
10 6
3 0 3
1 3 3
1 3 2
3 1 2
0 0 3
3 3 2
3 2 0
1 0 3
3 2 2
1 1 0
10 6
1 0 3
0 3 2
1 2 2
2 2 0
3 1 0
0 1 0
1 3 2
0 2 1
2 3 2
2 3 3
10 4
2 2 3
3 1 0
5 1 0
2 0 5
4 0 5
0 4 0
5 2 1
4 0 0
3 4 0
5 5 0
10 3
2 0 3
2 0 4
0 0 1
3 4 0
0 1 4
4 2 3
2 4 2
2 4 4
3 0 2
1 0 3
10 8
2 4 4
5 0 1
2 0 0
3 5 2
3 5 0
1 5 0
4 1 1
2 2 1
1 2 4
3 1 3
10 8
3 0 0
1 1 1
3 2 3
0 4 2
2 0 0
2 4 2
2 3 1
3 1 2
2 1 3
0 3 0
10 2
0 0 1
3 1 3
1 1 2
4 1 3
0 0 2
4 2 2
1 2 1
1 3 2
2 3 2
4 0 1
10 2
4 2 0
0 0 1
3 0 4
4 0 3
0 3 3
0 4 4
4 4 0
1 2 1
4 1 0
3 2 2
10 2
0 1 2
0 3 3
3 0 2
2 0 1
0 1 1
1 0 3
2 2 2
1 1 0
1 0 2
2 3 1
10 5
4 0 1
4 4 3
0 3 2
2 0 2
4 2 0
3 1 0
3 0 0
0 0 0
2 1 1
1 2 1
10 5
0 0 4
4 2 2
3 1 0
3 4 3
4 5 3
0 1 0
5 5 1
5 3 0
3 1 5
4 1 1
10 8
3 0 3
0 1 3
2 4 4
2 2 0
4 1 2
0 3 2
0 0 3
4 3 3
4 0 0
3 2 2
10 9
1 0 2
2 0 2
2 2 2
2 2 0
1 2 1
0 2 0
2 0 0
0 1 1
1 2 2
2 2 1
10 7
0 0 2
0 0 1
1 5 2
0 0 4
1 4 0
2 3 5
4 1 2
1 3 0
3 5 1
3 1 4
10 2
1 5 5
1 0 0
4 4 2
0 5 1
5 0 4
5 0 5
3 3 0
3 1 1
2 3 0
0 3 2
10 8
0 0 0
1 2 2
0 1 1
0 1 0
1 0 2
2 0 0
0 0 1
0 2 1
2 2 2
2 1 1
10 9
3 3 1
0 3 0
3 1 0
1 4 3
4 3 2
3 4 1
2 2 2
4 1 3
0 2 0
2 4 3
10 9
0 5 2
0 2 3
1 0 5
5 2 0
3 1 3
3 5 2
0 3 4
3 3 3
3 3 5
3 1 0
10 8
0 2 1
3 1 1
2 2 2
1 1 2
1 1 1
2 2 3
2 0 3
0 2 3
0 1 1
1 3 3
10 8
0 5 4
3 4 1
0 5 1
0 2 4
3 5 5
5 2 4
1 4 1
5 1 1
3 2 4
1 5 1
10 8
0 0 1
1 2 0
1 1 1
1 2 1
2 0 0
0 1 0
2 0 2
0 0 0
0 2 0
1 0 1
10 2
0 1 0
0 0 2
2 2 1
0 1 2
2 2 2
0 1 1
2 2 0
2 0 1
0 2 1
1 1 0
10 5
2 2 2
0 0 1
1 1 2
1 1 0
1 0 0
2 2 1
2 0 0
0 0 0
1 0 2
2 1 0
10 5
4 0 3
0 4 0
4 3 0
4 4 1
3 2 3
1 4 0
2 1 1
2 3 2
2 1 3
0 2 2
10 5
1 2 2
1 1 2
0 2 2
1 2 0
1 1 1
2 1 2
0 1 0
0 0 2
2 2 2
0 0 0
10 7
5 5 4
4 3 4
3 5 2
3 0 0
5 3 5
4 3 1
2 5 5
0 0 4
4 2 1
2 3 0
10 8
2 2 3
0 1 2
3 3 0
0 3 3
0 3 1
2 1 1
3 1 2
1 3 2
2 1 0
1 1 3
10 9
4 1 2
3 3 4
3 1 3
3 3 1
1 4 4
2 3 0
0 4 2
4 0 0
3 0 3
4 0 2
10 3
5 5 1
2 2 3
4 3 4
1 1 2
4 3 2
5 3 1
0 4 1
2 5 5
0 2 2
1 1 0
10 5
3 1 0
1 0 1
3 1 1
0 2 3
2 4 0
4 2 1
0 0 2
0 0 0
1 3 4
1 4 4
10 3
3 3 1
0 3 1
0 4 1
2 3 4
0 0 4
3 1 1
1 2 3
0 4 3
0 0 1
0 3 4
10 4
2 0 4
2 1 3
4 2 0
2 4 4
2 3 1
3 3 3
0 3 4
1 4 1
0 0 0
2 2 4
10 7
0 4 0
0 5 4
1 2 0
1 2 2
3 1 5
5 3 2
3 0 4
0 0 0
0 2 4
2 2 5
10 5
0 1 0
0 2 1
1 1 2
1 0 2
0 0 3
0 1 2
3 3 0
2 0 1
2 2 1
2 0 2
10 5
2 2 0
1 1 2
2 1 2
1 0 1
1 0 2
2 0 2
0 2 0
1 0 0
1 2 1
0 1 0
10 6
1 0 1
2 2 1
2 1 0
0 2 0
2 0 2
0 1 1
1 2 1
1 0 2
2 1 1
1 2 2
10 2
3 0 5
3 4 0
2 4 5
2 4 0
3 2 4
3 3 3
0 1 1
1 4 3
2 0 1
2 5 4
10 9
3 2 0
0 4 4
2 4 3
0 0 4
0 4 0
1 0 0
4 1 4
4 0 0
3 3 0
3 3 4
10 7
0 2 1
1 0 1
0 1 1
1 2 1
0 1 0
2 1 0
1 0 2
1 2 0
2 2 2
2 1 1
10 3
1 1 0
2 3 2
1 3 0
0 3 2
3 0 0
2 2 0
3 0 2
3 2 2
0 2 1
1 3 2
10 5
2 0 5
1 1 1
3 2 3
1 0 4
4 5 2
5 5 3
2 5 3
3 2 5
2 4 3
2 1 4
10 6
0 1 3
3 4 3
1 2 2
2 0 3
5 2 0
2 0 4
0 4 0
4 0 0
3 2 2
4 1 3
10 2
2 0 2
4 5 4
1 4 0
5 2 0
5 5 4
5 4 2
4 1 0
2 4 2
2 3 4
2 4 5
10 9
0 1 5
4 0 0
1 0 0
3 0 4
3 4 5
0 3 0
1 3 4
3 4 0
5 4 0
5 1 2
10 9
0 1 2
1 0 2
0 0 0
1 0 0
0 2 2
2 1 2
1 2 2
0 2 1
2 2 0
2 2 1
10 2
0 2 2
1 0 0
2 0 1
2 2 1
1 2 1
2 1 1
1 2 2
0 0 0
2 1 0
2 2 2
10 8
2 1 0
2 2 3
1 3 2
0 0 3
1 3 0
0 3 0
1 1 2
3 0 2
0 1 3
1 0 1
10 4
2 2 3
3 4 4
0 0 1
1 3 1
4 4 1
1 4 2
2 2 4
4 4 2
0 2 2
0 1 1
10 5
4 1 3
2 4 1
3 0 4
2 0 4
0 1 0
2 1 0
2 4 4
2 0 0
2 3 1
3 0 2
10 3
2 5 1
2 4 4
2 3 1
4 5 3
2 4 0
3 0 2
0 1 1
3 2 0
5 1 3
1 0 3
10 7
1 2 0
1 3 1
2 2 2
3 1 1
3 0 2
3 3 2
0 3 0
0 0 0
1 3 0
1 0 1
10 3
1 1 0
2 0 0
2 1 2
2 1 0
0 2 2
1 0 1
0 2 1
0 1 1
2 0 1
1 2 1
10 3
0 5 2
3 2 5
5 3 1
3 1 4
2 1 0
4 0 3
1 1 4
0 5 5
3 1 3
5 1 5
10 2
3 1 1
3 2 2
0 2 3
2 3 0
0 1 2
2 3 2
2 3 3
3 2 3
3 2 1
1 2 3
10 4
3 2 3
3 1 4
2 3 3
1 1 2
3 2 1
0 1 1
0 1 2
2 0 3
0 1 3
0 2 1
10 6
0 3 3
2 3 1
2 2 2
3 0 2
3 1 2
1 1 3
1 0 0
2 1 3
2 3 3
0 2 2
10 8
2 3 1
1 3 1
2 1 1
1 3 0
0 1 0
1 1 0
0 1 1
2 0 0
0 0 1
2 1 3
10 9
0 3 3
5 1 1
2 4 5
4 2 4
5 3 5
3 1 5
1 1 5
1 3 1
2 5 0
1 4 1
10 5
5 1 0
4 4 4
4 2 4
5 4 5
3 5 4
2 0 4
2 3 4
0 1 3
3 0 3
1 4 2
10 4
0 0 3
0 1 4
0 4 5
0 0 5
1 3 5
5 3 3
4 0 4
1 0 4
1 4 0
1 3 0
10 2
0 2 0
2 1 1
0 1 2
1 0 0
1 2 0
1 0 1
2 2 2
0 2 1
1 0 2
0 1 0
10 6
1 4 1
4 4 5
3 4 2
4 4 3
5 4 4
1 2 5
1 4 2
2 0 2
5 3 1
2 3 4
10 2
0 0 5
2 1 5
1 4 5
1 3 1
2 1 3
5 2 1
3 0 0
2 5 1
5 2 4
3 1 5
10 4
1 1 1
3 3 3
2 0 3
1 0 1
1 2 0
3 3 0
2 1 2
2 3 2
2 2 3
1 2 2
10 9
2 1 3
0 1 3
3 3 0
0 0 0
1 3 3
3 0 3
3 1 2
0 3 3
2 0 2
2 3 1
10 2
1 1 0
2 2 1
2 1 0
1 0 0
1 1 1
2 0 0
2 2 2
0 2 0
1 1 2
0 2 2
10 7
2 1 1
1 4 3
4 1 2
2 4 0
2 4 3
1 2 2
0 0 2
4 4 3
0 1 1
3 3 1
10 8
0 1 2
0 3 3
1 1 2
1 2 3
2 1 1
0 0 0
1 2 0
3 1 3
3 2 0
3 2 1
10 9
0 5 1
5 5 4
4 0 0
3 5 3
0 1 1
1 3 3
0 0 5
1 4 5
5 3 5
1 1 3
10 5
2 1 2
2 2 0
2 2 1
1 0 2
1 1 0
0 0 1
1 0 0
1 2 0
2 0 1
2 0 0
10 6
3 1 0
3 2 2
1 3 0
3 0 2
0 2 1
2 2 2
0 2 3
1 3 1
2 3 1
3 4 1
10 2
2 2 1
2 2 2
0 1 1
1 1 1
0 0 2
0 1 0
0 2 0
2 0 2
0 0 0
2 0 0
10 8
2 1 0
5 4 5
5 3 2
5 1 2
2 1 4
1 3 5
1 4 3
1 1 5
4 2 4
4 5 1
10 9
1 1 0
2 1 1
1 0 2
1 2 1
1 0 0
0 1 2
1 2 0
2 0 1
0 0 1
1 1 2
10 3
2 1 0
0 1 4
5 5 4
1 0 2
2 5 2
5 3 1
4 0 0
2 4 1
1 5 2
1 2 0
10 4
2 1 0
3 2 0
1 0 3
3 2 1
3 1 0
3 0 1
3 0 0
2 2 1
1 0 2
1 0 1
10 4
1 2 0
4 4 2
0 0 4
2 4 0
4 1 0
4 2 0
3 4 2
2 2 3
0 2 2
4 3 2
10 5
0 3 0
0 0 1
0 3 1
0 2 0
0 0 2
2 1 2
3 2 0
1 1 3
3 0 0
2 3 3
10 2
2 2 2
0 2 2
2 2 0
2 1 1
0 0 1
2 1 2
1 0 1
1 2 0
1 2 2
1 2 1
10 9
4 0 0
4 4 2
3 0 1
3 1 2
3 3 0
3 2 3
0 4 4
0 0 0
1 3 3
0 4 3
10 2
2 3 4
4 2 2
5 3 0
5 3 2
5 0 3
2 1 4
5 0 5
2 5 1
4 2 1
0 4 5
10 9
0 1 0
0 2 0
3 3 1
1 3 1
2 0 2
3 2 0
2 0 3
0 0 3
3 1 3
1 3 3
10 3
5 4 3
4 2 4
0 4 2
3 2 5
2 3 4
3 0 4
1 3 2
3 3 0
1 4 3
5 5 1
10 9
2 0 1
3 4 2
2 5 0
2 3 0
2 5 2
1 0 1
0 3 4
3 2 1
1 0 4
0 3 3
10 2
2 1 0
1 0 2
2 1 1
0 1 0
2 0 0
1 2 0
1 1 0
0 1 2
0 0 2
2 1 2
10 2
2 1 1
2 1 0
2 2 0
0 0 2
1 2 2
0 1 2
0 1 1
1 0 2
2 0 1
0 0 0
10 4
3 1 2
2 3 0
0 2 1
1 3 3
2 1 0
0 2 3
2 3 2
2 2 0
2 2 1
1 3 1
10 8
1 0 4
2 3 4
4 4 3
5 1 4
3 2 4
5 0 4
0 4 3
1 4 2
5 2 4
4 1 2
10 8
1 2 2
1 1 0
1 1 2
1 2 1
1 0 1
0 0 0
1 1 1
0 2 1
2 0 1
2 0 0
10 7
4 1 1
5 0 3
2 2 1
5 1 3
2 0 1
1 3 0
1 2 3
5 3 2
0 3 1
2 2 5
10 8
0 0 0
4 1 2
2 3 2
3 1 2
0 0 2
4 2 3
1 4 4
2 4 2
1 1 3
0 2 0
10 9
2 2 3
0 0 2
0 4 1
4 4 4
3 2 3
1 4 0
4 3 3
3 0 2
3 3 0
2 4 0
10 4
1 1 1
1 4 0
4 3 4
1 2 4
4 3 2
0 1 1
1 4 4
3 4 0
3 1 1
1 4 3
10 4
1 1 0
2 2 2
2 2 0
2 2 1
0 0 2
2 0 1
0 2 0
0 2 1
0 2 2
1 1 2
10 7
1 2 2
0 3 1
1 1 3
4 2 2
4 1 3
4 3 2
2 3 2
1 2 4
4 4 2
4 1 0
10 3
0 1 0
1 2 1
2 1 1
2 0 1
2 2 2
0 2 2
0 2 0
1 0 1
2 2 1
0 2 1
10 3
5 2 5
1 3 5
5 3 2
2 2 0
4 0 1
1 4 3
2 5 0
5 5 2
4 4 2
5 2 4
10 6
4 0 3
2 4 0
4 4 3
4 4 0
2 1 3
4 0 1
1 0 3
1 1 2
0 1 1
4 2 3
10 8
1 0 3
1 3 0
1 1 0
4 3 4
0 3 3
2 1 1
0 3 1
3 1 1
0 1 2
3 2 3
10 8
2 3 1
1 3 0
1 1 1
2 3 4
2 4 4
3 4 3
2 1 0
4 2 1
3 0 4
3 2 4
10 5
1 0 4
2 1 2
2 0 1
1 1 1
1 4 1
0 4 3
2 1 3
2 3 1
3 3 3
4 2 4
10 5
3 4 3
2 4 4
3 2 4
2 2 1
0 3 0
4 4 1
1 0 2
3 0 2
4 3 0
2 1 1
10 8
4 4 0
2 2 2
4 3 1
2 3 4
1 3 3
1 2 4
4 3 2
0 3 1
4 4 3
2 0 1
10 3
1 1 2
0 2 1
2 0 0
0 2 2
1 0 0
0 2 0
0 1 1
2 1 2
2 0 2
0 0 0
10 2
0 3 1
2 4 3
3 0 3
1 3 2
3 4 4
2 1 4
1 4 2
2 1 0
1 3 3
0 3 0
10 7
0 2 0
0 0 1
0 3 1
0 0 0
0 0 3
1 3 3
3 3 2
3 2 3
3 1 2
1 3 1
10 3
4 5 3
3 1 5
4 1 1
1 3 2
0 4 0
0 0 2
4 0 1
2 0 5
0 3 4
5 2 2
10 4
5 0 5
1 2 2
1 1 0
0 4 1
5 1 3
5 0 2
5 1 1
4 4 3
3 0 2
1 1 3
10 9
1 2 5
1 0 3
5 4 1
1 2 4
2 4 5
1 2 1
5 3 2
3 0 4
5 5 5
5 0 0
10 2
2 1 1
2 0 1
2 0 2
1 2 1
1 0 1
0 0 0
0 1 2
2 2 0
0 1 1
0 2 1
10 4
1 0 3
0 0 2
1 0 0
2 0 1
0 1 1
3 1 1
2 1 2
0 2 0
3 2 0
0 3 3
10 7
0 2 3
1 2 1
3 1 3
1 1 0
1 0 1
3 2 1
1 1 2
2 0 3
1 2 3
0 3 2
10 6
3 5 2
1 2 3
5 2 2
1 5 2
0 3 5
1 0 3
3 2 3
5 1 3
5 5 5
1 4 0
10 2
3 0 2
2 0 2
2 3 1
3 0 3
2 0 3
3 0 0
3 1 0
0 0 0
1 2 0
1 2 3
10 7
0 1 0
0 1 5
0 0 4
1 4 1
2 4 2
2 0 0
0 5 0
1 0 3
5 5 2
0 5 5
10 6
1 1 2
1 1 0
2 1 1
2 0 1
1 2 1
0 1 1
0 0 1
0 1 2
1 2 0
2 1 0
10 3
0 1 2
2 0 2
2 1 0
2 2 1
0 2 2
1 2 1
2 2 0
0 0 0
1 0 0
0 1 1
10 3
2 0 3
2 0 2
1 3 4
1 3 1
2 1 3
3 3 0
0 3 1
1 2 0
4 1 3
2 2 4
10 4
0 1 3
1 1 2
2 3 1
3 1 0
1 1 0
1 2 2
1 3 2
3 2 2
2 0 0
1 3 1
10 8
3 3 0
2 0 2
3 2 2
3 2 0
3 3 3
2 3 2
2 1 0
3 0 0
3 3 2
2 3 3
10 2
2 0 2
0 2 2
1 0 0
1 2 0
2 1 0
0 1 0
2 2 1
2 0 0
2 1 1
1 0 2
10 6
1 3 4
4 1 3
4 5 5
0 0 2
3 4 0
3 2 4
5 1 1
3 0 2
1 1 3
3 4 3
10 6
5 5 0
3 4 5
1 3 4
0 5 3
3 0 4
4 3 0
2 5 2
0 2 0
5 4 1
2 2 3
10 4
2 2 0
0 0 0
2 2 2
0 1 2
1 1 2
1 2 1
0 2 1
1 2 0
2 1 1
2 2 1
10 2
3 3 0
2 0 1
4 0 3
4 1 2
4 4 2
1 0 0
2 3 2
3 0 0
1 3 4
3 2 2
10 2
3 4 0
3 0 4
1 2 1
4 1 4
1 3 0
0 0 1
2 3 0
1 1 3
0 1 4
3 0 0
10 8
0 1 1
3 1 1
3 3 2
3 0 3
2 0 1
2 1 3
3 2 0
3 1 0
3 2 1
2 0 3
10 7
1 1 0
2 3 1
3 4 3
2 1 1
4 4 2
0 1 1
2 3 2
2 3 3
0 0 4
3 2 2
10 7
1 2 3
1 4 4
1 0 4
0 0 0
2 1 3
1 0 1
0 2 1
1 3 3
0 3 3
2 1 2
10 6
1 1 0
2 2 1
1 2 0
2 2 0
0 0 1
1 0 0
1 2 2
0 2 1
0 1 1
0 2 2
10 6
2 0 2
0 1 0
3 1 3
1 3 2
1 0 0
2 2 2
0 0 3
0 3 3
0 1 3
3 3 1
10 6
3 0 2
3 0 0
3 0 1
0 2 3
0 0 3
1 1 1
1 0 1
3 3 3
1 2 3
1 1 2
10 9
0 1 1
3 0 3
1 0 4
2 4 3
4 4 3
0 1 0
1 2 1
0 2 3
2 3 2
4 3 0
10 3
1 1 1
1 3 3
2 1 0
1 3 0
3 3 4
3 3 0
0 3 4
4 2 0
1 0 1
0 0 1
10 9
2 1 4
4 2 3
4 2 0
2 3 4
1 2 1
0 1 3
3 2 0
1 0 3
0 2 2
1 3 1
10 8
0 3 1
2 1 0
2 4 0
4 0 4
1 0 0
1 2 2
2 2 3
2 2 2
0 4 0
3 1 1
10 9
0 3 3
3 1 2
2 3 0
2 0 2
0 3 2
2 0 1
1 0 3
3 1 0
2 1 2
1 3 2
10 6
4 0 0
2 3 1
0 1 2
4 2 1
4 3 2
1 3 3
2 0 4
4 4 3
2 2 4
4 3 4
10 2
2 0 1
1 1 1
0 0 1
2 3 3
0 2 3
1 2 2
2 2 0
2 2 3
3 3 0
3 0 0
10 2
2 2 3
4 4 4
0 4 0
5 4 3
5 4 4
0 5 4
4 5 3
1 0 2
1 3 4
1 5 4
10 7
5 2 1
1 1 4
3 2 5
0 5 3
3 5 1
1 1 5
0 1 1
3 1 4
5 4 0
1 5 1
10 2
0 0 1
1 1 3
3 3 0
0 0 2
3 1 1
2 2 3
1 0 0
0 3 2
1 2 0
2 0 0
10 9
2 1 3
1 2 3
2 2 3
4 2 1
0 4 2
4 0 3
0 2 1
3 3 3
0 1 1
3 1 1
10 7
3 0 2
3 1 3
4 1 3
4 1 4
4 3 3
2 0 4
2 1 2
0 0 3
2 4 4
3 0 0
10 7
0 1 1
0 2 1
0 0 4
1 3 2
4 1 4
3 4 1
3 2 1
3 4 3
0 0 0
2 1 4
10 5
4 4 2
4 0 4
0 0 1
1 2 3
3 0 4
4 4 0
3 2 0
3 3 2
4 4 1
1 3 3
10 8
1 0 2
0 3 0
1 2 3
0 2 0
3 3 2
1 3 3
2 2 2
1 2 0
0 1 0
3 0 2
10 2
1 0 0
1 2 1
1 1 1
2 0 1
0 2 0
2 2 2
0 2 1
0 2 2
1 0 1
0 0 1
10 9
2 2 3
3 0 2
3 1 0
3 3 0
2 0 0
2 1 1
3 3 2
0 1 1
0 1 3
2 3 2
10 2
0 1 2
1 1 2
2 0 3
3 0 2
2 1 2
0 2 3
1 2 0
2 3 2
2 2 0
2 0 0
10 9
0 2 1
0 2 0
2 1 0
0 0 1
2 1 1
0 1 1
2 1 2
1 1 2
0 1 0
2 2 1
10 3
4 0 5
0 4 3
1 2 2
0 0 4
4 4 1
4 0 4
3 5 3
5 1 2
3 0 2
4 1 1
10 4
1 2 2
3 2 3
1 1 1
0 1 2
3 0 3
3 1 0
3 3 0
0 0 0
1 3 3
2 0 2
10 6
1 2 2
0 1 2
1 1 0
1 0 0
1 1 1
2 2 0
2 2 2
1 0 2
1 2 1
2 0 0
10 2
2 5 0
4 5 3
5 1 3
4 3 3
0 4 2
3 1 3
4 4 3
1 0 1
0 5 3
2 5 5
10 2
0 0 0
1 2 2
0 1 2
0 1 0
2 1 0
2 0 1
1 0 1
2 0 0
1 1 1
0 2 2
10 4
2 2 3
1 2 3
0 2 3
1 0 0
0 1 0
2 2 2
1 3 2
1 1 0
2 2 0
3 1 0
10 4
0 0 2
2 0 2
2 2 2
1 0 3
2 3 2
2 3 0
3 1 3
0 3 2
2 2 3
3 0 0
10 3
1 4 0
4 4 2
2 1 3
1 4 3
3 3 3
4 2 2
4 3 1
3 3 4
1 0 4
2 3 1
10 7
4 3 1
2 1 3
1 2 4
1 0 3
4 0 3
0 2 1
4 4 2
0 2 4
0 0 1
4 4 3
10 3
1 0 0
2 2 0
2 0 2
2 0 1
0 1 0
1 1 0
1 0 1
2 1 0
1 0 2
2 1 1
10 4
2 0 2
4 2 5
4 5 0
1 1 4
4 3 4
3 1 3
5 0 0
4 1 3
4 1 1
0 1 2
10 2
2 0 1
1 3 1
0 1 4
3 1 4
2 4 2
0 2 3
3 2 1
0 2 0
0 3 1
3 3 3
10 6
0 1 1
3 1 2
4 4 3
3 1 1
1 3 1
4 1 1
0 3 3
4 0 1
4 2 4
2 2 4
10 2
5 4 2
5 1 3
5 0 5
0 4 0
5 1 2
2 2 0
3 3 2
3 4 5
4 1 0
4 5 0
10 3
3 0 0
2 1 3
2 2 2
0 2 0
3 0 3
0 0 1
0 1 1
3 3 0
1 2 3
1 0 0
10 9
3 1 2
0 4 4
3 4 2
0 4 0
1 1 0
0 0 2
2 3 0
0 1 1
1 2 1
3 0 0
10 2
2 3 4
4 0 1
2 1 3
2 4 3
4 4 2
2 2 3
1 1 2
2 3 3
1 2 4
1 0 4
10 9
2 3 0
3 2 3
0 0 1
3 4 0
4 4 3
0 3 2
4 0 0
0 4 4
4 2 0
4 3 3
10 6
2 1 1
2 4 2
0 1 1
3 3 0
1 0 3
1 0 0
3 2 0
0 1 4
3 2 4
2 0 3
10 8
3 1 0
3 3 2
3 2 3
1 3 3
2 3 0
3 0 2
4 2 2
2 3 4
1 4 2
4 2 0
10 3
4 3 3
3 1 1
1 3 4
4 4 4
1 1 3
4 4 2
4 2 4
1 4 4
2 1 3
2 1 1
10 3
0 1 4
0 0 3
5 0 4
1 5 1
2 0 2
2 4 4
5 0 3
0 0 2
5 1 2
3 0 1
10 2
0 0 1
1 3 1
2 3 3
1 3 0
1 2 2
0 3 2
3 1 1
3 2 3
3 0 1
0 0 0
10 5
2 0 1
2 1 1
2 2 0
0 0 0
1 1 0
1 2 0
0 2 1
2 0 2
1 0 2
0 2 0
10 4
1 0 2
3 5 2
5 5 0
3 2 3
4 0 1
5 2 1
1 2 5
2 2 3
4 4 0
3 0 0
10 6
5 4 5
0 1 0
1 1 0
1 4 4
2 4 2
2 2 3
4 3 4
3 2 2
4 4 5
3 3 4
10 3
2 3 1
1 2 4
5 1 5
3 5 0
2 0 5
0 3 3
4 2 0
4 2 4
0 1 2
2 5 5
10 5
0 4 4
0 4 2
5 4 4
5 4 1
1 4 0
5 3 2
2 5 1
0 0 3
1 1 4
1 4 1
10 3
2 4 1
0 2 0
0 0 1
1 4 4
3 4 3
2 3 4
2 1 2
1 2 1
1 3 3
4 1 2
10 5
3 1 3
1 2 1
0 0 1
0 3 0
1 0 2
3 0 1
1 2 3
0 3 3
1 3 1
1 0 1
10 6
1 2 1
2 0 1
2 2 1
1 1 1
0 0 1
2 1 2
0 2 0
2 1 1
1 2 2
2 0 2
10 7
3 3 2
1 3 1
2 0 4
4 0 4
3 3 5
2 4 2
2 0 0
4 0 3
0 5 5
4 3 2
10 6
4 2 0
1 1 1
3 2 4
4 4 0
1 0 2
1 1 4
4 2 4
2 2 4
3 0 1
1 0 4
10 7
1 2 2
2 1 2
0 2 1
1 1 2
1 0 2
0 1 0
0 0 2
1 0 1
2 0 1
1 1 1
10 7
4 3 5
2 3 1
1 2 1
0 0 4
4 1 5
1 3 0
0 1 4
0 3 1
2 2 2
5 2 0
10 5
1 0 0
1 0 1
0 0 0
2 0 1
1 0 2
2 2 0
0 1 0
2 0 2
2 1 0
0 0 1
10 4
1 0 1
1 3 3
2 0 0
1 2 3
3 2 0
0 3 2
0 0 2
0 1 0
2 2 3
2 1 3
10 7
3 2 0
3 4 1
1 3 2
1 3 3
3 4 0
0 2 1
4 2 4
0 1 1
2 4 1
1 2 0
10 3
3 1 3
1 4 0
5 3 5
4 1 5
3 0 0
0 0 3
5 0 5
5 5 3
2 5 0
0 5 4
10 5
0 1 1
3 2 3
3 1 1
3 2 0
2 0 3
0 3 2
2 0 1
1 3 1
3 3 0
1 2 3
10 4
1 1 2
0 1 2
0 3 0
1 1 0
2 0 0
4 2 3
1 2 1
4 0 4
1 4 2
0 2 3
10 9
0 0 1
0 3 3
1 1 2
2 2 0
0 2 1
3 0 0
0 1 2
1 3 0
3 3 3
2 3 1
10 2
0 1 0
1 0 1
2 2 0
2 0 1
0 1 1
2 0 2
2 2 2
0 2 0
1 0 2
2 1 1
10 3
0 1 2
0 0 0
1 0 2
2 2 1
1 1 1
2 0 0
1 2 0
1 1 0
2 1 1
1 2 2
10 7
0 4 5
5 1 1
3 5 4
1 3 3
0 2 3
5 4 2
0 5 1
2 0 3
3 4 4
3 1 2
10 7
0 4 0
4 4 3
3 2 1
1 4 1
3 4 0
4 0 2
3 1 4
3 3 1
3 0 0
0 1 4
10 6
2 3 1
2 2 0
1 1 4
2 2 2
2 0 4
3 3 1
0 4 2
2 4 2
3 1 0
3 3 3
10 6
3 1 4
2 4 3
4 4 2
4 1 4
3 4 3
0 0 1
4 2 3
3 3 1
3 0 1
3 3 2
10 9
0 0 2
2 1 2
2 2 0
0 0 0
0 1 2
1 1 2
2 0 1
1 0 2
1 2 0
1 0 1
10 8
1 1 1
3 1 0
4 4 2
0 1 4
1 0 3
3 4 2
1 3 4
3 3 4
2 0 1
2 3 1
10 6
1 0 3
2 3 1
0 3 1
0 0 1
3 0 0
2 2 3
2 0 1
3 0 2
1 1 3
2 0 3
10 2
3 2 1
0 0 0
3 0 3
0 3 2
3 0 2
1 3 0
3 2 3
0 2 1
3 2 0
1 1 0
10 5
2 3 2
5 1 0
3 5 4
0 3 1
1 1 5
1 0 5
0 5 0
3 3 2
0 2 0
0 5 5
10 4
3 3 3
4 3 1
3 1 4
2 3 0
4 4 1
2 1 1
2 0 0
2 0 2
1 1 3
2 0 1
10 3
1 0 1
0 0 1
2 0 1
1 0 0
2 2 2
1 1 0
2 1 1
1 1 2
2 0 0
0 1 1
10 8
2 1 0
2 3 0
0 3 4
1 1 4
5 4 5
5 5 2
4 4 1
2 5 4
4 0 2
1 3 0
10 2
1 1 0
0 0 1
0 2 0
0 2 3
3 3 1
1 3 2
2 0 0
2 3 1
3 1 1
2 0 1
10 5
0 2 3
2 0 3
3 0 3
2 2 2
0 1 2
4 0 0
0 4 3
3 4 4
0 2 0
4 0 4
10 5
0 0 3
3 3 3
0 2 1
2 1 3
4 2 0
2 4 3
2 3 2
0 3 2
1 4 4
3 2 0
10 8
1 2 1
0 0 1
1 2 2
1 0 1
1 1 2
1 1 1
2 0 1
2 2 2
1 2 0
2 2 0
10 4
5 4 1
0 5 2
0 5 5
0 2 2
2 1 1
2 3 1
1 0 3
3 1 1
0 4 1
0 4 4
10 6
1 1 0
2 3 1
3 1 2
3 3 3
0 3 0
1 1 3
2 2 0
3 0 0
3 2 0
1 0 3
10 7
4 0 1
1 2 2
3 0 3
0 3 5
3 1 1
3 5 2
4 1 2
3 1 0
5 5 5
4 2 2
10 9
1 1 2
0 2 1
2 1 2
1 2 2
1 1 0
1 0 2
0 1 1
1 2 1
2 0 0
2 1 0
10 3
2 0 1
3 0 2
2 0 0
1 3 0
3 1 3
1 0 0
2 2 2
2 3 2
2 1 3
2 0 2
10 9
5 3 2
1 4 3
5 5 3
3 4 2
4 2 5
0 1 0
4 3 5
1 4 1
3 5 3
3 0 4
10 3
4 4 1
0 1 0
4 2 0
1 1 0
1 2 2
4 2 4
1 3 2
2 4 3
0 1 3
4 1 1
10 2
3 3 1
3 1 0
2 0 0
2 0 2
2 2 0
1 1 0
3 0 2
2 3 1
1 2 2
0 2 3
10 4
2 2 2
2 2 0
2 1 1
2 1 2
1 2 2
1 2 1
0 2 0
1 0 0
0 1 1
1 0 2
10 7
3 1 1
2 0 2
3 3 0
2 0 4
2 4 2
3 0 2
4 0 1
4 3 3
1 3 2
3 4 4
10 8
2 0 0
0 0 0
1 3 0
3 0 1
0 3 1
3 3 1
1 3 1
0 0 1
2 1 3
0 2 2
10 8
1 4 4
0 3 3
3 0 1
3 2 0
3 3 2
3 1 1
0 4 3
1 4 0
4 3 4
0 4 4
10 6
1 1 1
3 2 1
0 1 3
1 1 0
3 1 3
3 2 3
3 0 3
2 3 1
3 3 0
1 0 1
10 8
0 1 4
1 1 1
1 3 3
4 3 4
1 1 3
3 3 1
4 2 2
1 2 2
4 2 3
4 4 3
10 7
2 3 1
1 2 0
2 0 3
0 2 0
3 2 1
0 1 0
1 1 1
0 3 3
0 2 3
3 3 2
10 5
2 2 0
1 2 1
0 2 0
2 0 0
1 1 0
2 2 1
2 2 2
0 2 2
1 1 1
1 0 1
10 3
1 3 0
1 1 2
1 1 1
2 2 2
2 0 0
0 3 3
0 0 1
1 0 0
3 3 3
2 1 3
10 6
5 3 1
1 3 5
5 5 4
2 0 3
2 4 1
3 1 5
2 0 1
0 4 3
0 2 4
4 3 3
10 6
1 0 2
1 2 1
1 2 2
1 3 0
1 2 0
2 3 0
0 2 1
3 3 1
2 3 1
3 1 1
10 5
4 0 4
3 0 4
3 5 1
5 1 3
0 3 2
5 1 1
2 2 1
0 1 2
4 2 0
3 5 0
10 9
0 0 0
2 1 0
0 2 2
3 1 1
0 3 3
0 0 3
0 0 2
0 1 0
2 1 3
0 2 1
10 9
3 2 0
3 2 2
0 0 3
0 1 4
2 2 2
0 1 3
2 1 3
3 3 0
3 2 3
3 0 0
10 3
1 1 1
0 0 2
2 1 2
1 3 0
2 3 2
3 0 2
0 1 0
0 0 1
1 3 1
2 0 2
10 8
0 1 0
1 0 2
2 1 2
2 0 1
2 0 2
0 0 0
1 0 0
1 1 1
1 1 2
0 1 1
10 2
1 2 0
0 1 2
2 1 1
0 0 2
2 1 0
2 0 2
0 1 1
2 2 1
2 2 0
2 0 0
10 2
1 2 1
1 1 1
2 1 2
1 1 2
1 2 2
0 0 1
2 0 2
2 2 0
0 0 0
2 1 0
10 9
0 1 4
1 1 0
2 1 4
4 0 2
4 4 2
2 4 1
0 4 3
2 0 4
1 0 2
3 3 0
10 6
2 0 1
0 2 1
0 2 2
2 2 1
1 1 2
1 0 1
0 2 0
2 1 0
1 1 1
0 1 1
10 5
4 3 1
3 1 3
0 2 1
5 4 2
3 4 1
2 1 0
5 1 2
1 0 1
4 2 2
3 3 1
10 6
3 0 5
5 1 2
3 3 4
2 3 5
5 1 1
3 2 0
3 4 2
0 2 3
5 5 5
0 0 1
10 3
0 0 3
3 0 1
2 0 3
1 3 2
2 1 3
0 3 1
2 2 2
3 1 3
2 0 2
1 3 0
10 4
3 1 0
4 2 1
4 3 2
3 1 3
2 0 2
1 3 1
4 1 2
2 3 0
1 4 3
4 0 3
10 8
1 3 0
1 2 1
0 1 2
3 2 1
1 2 0
0 3 3
3 3 1
0 2 1
3 3 0
3 1 1
10 6
2 2 0
0 2 0
1 0 2
0 1 0
0 0 2
1 2 2
1 0 1
1 1 0
0 1 2
2 1 2
10 4
3 3 2
1 1 2
2 1 2
0 1 1
2 3 0
1 0 1
2 1 1
2 3 2
1 0 2
3 1 3
10 5
2 2 1
0 1 1
2 0 0
0 2 1
0 1 2
2 0 1
0 1 0
1 1 2
0 2 2
2 1 1
10 8
4 2 1
1 3 2
0 2 4
0 1 3
3 0 3
4 2 2
0 2 1
4 1 0
4 1 4
1 0 4
10 9
0 2 2
0 4 4
1 1 2
2 0 2
1 1 3
0 2 4
3 3 4
1 2 1
2 0 4
1 3 2
10 8
4 4 3
3 4 0
2 3 0
0 2 3
4 1 0
2 3 1
2 1 4
0 3 4
3 4 2
2 2 1
10 2
2 4 1
1 2 1
3 5 3
2 3 4
4 0 3
2 5 3
1 4 1
5 4 2
0 5 1
0 2 4
10 4
3 1 3
0 3 3
3 0 0
0 1 1
0 3 2
2 3 2
2 0 0
2 1 1
1 0 2
3 2 3
10 3
1 2 1
0 0 2
1 1 2
1 1 0
2 2 1
0 2 1
1 0 1
0 0 1
0 1 1
1 1 1
10 2
2 1 2
1 2 0
3 4 3
4 2 1
0 5 5
2 3 3
0 4 5
2 4 2
4 5 0
1 0 5
10 5
5 5 5
3 1 2
0 2 3
3 3 5
4 5 5
2 0 4
4 4 0
0 4 1
0 2 2
3 1 3
10 4
3 1 3
3 1 1
0 2 3
0 3 2
1 2 1
2 0 3
2 1 2
1 0 3
3 2 0
3 3 3
10 7
4 1 1
2 0 2
3 1 4
3 3 4
4 0 4
1 3 1
0 3 4
1 4 2
0 4 3
4 3 0
10 2
2 3 2
1 0 1
4 3 1
1 5 4
1 1 1
4 2 2
3 1 4
0 0 3
0 5 0
1 2 0
10 7
3 0 3
0 1 2
1 1 2
1 2 1
1 3 0
3 1 3
3 2 2
0 2 1
2 3 0
0 3 0
10 3
0 3 4
5 3 3
5 5 2
3 2 3
3 4 1
4 5 2
2 5 5
1 1 4
1 4 3
4 1 1
10 7
2 5 4
2 2 5
4 4 4
3 4 0
0 2 2
0 5 0
2 3 1
5 3 5
0 5 4
2 3 2
10 4
2 2 3
0 2 4
4 0 0
1 3 3
0 2 1
3 2 3
1 4 3
4 4 4
4 4 0
1 4 4
10 3
0 2 1
0 0 0
0 1 1
2 0 1
1 0 1
2 1 0
1 1 1
0 2 2
1 0 2
1 2 2
10 4
2 2 1
1 2 1
2 1 0
0 1 2
0 1 0
1 1 2
2 0 0
2 0 2
0 2 0
2 0 1
10 6
1 0 2
0 0 1
0 0 0
2 1 2
1 1 2
1 0 0
1 0 1
2 2 0
2 0 2
1 2 0
10 2
1 3 1
1 1 0
4 2 4
3 3 2
1 2 4
4 3 0
1 3 0
1 1 3
2 2 3
4 4 4
10 2
1 3 1
2 3 2
3 2 2
1 2 3
2 1 0
0 3 1
1 3 3
3 3 1
0 2 2
1 3 2
10 7
0 4 1
4 4 1
4 2 1
0 1 4
4 1 1
2 5 0
5 5 4
5 3 3
2 3 2
1 1 3
10 3
3 1 3
0 0 4
4 5 4
3 2 5
0 4 5
0 1 3
2 0 5
1 0 0
1 4 2
4 1 0
10 8
0 1 4
0 1 3
0 2 3
1 2 0
4 4 1
3 1 3
4 2 4
4 1 2
4 3 0
2 2 2
10 5
3 2 3
2 0 0
2 2 0
4 5 3
3 5 1
2 0 4
4 2 3
1 5 2
4 5 1
0 1 4
10 5
2 1 1
1 0 0
0 1 0
2 2 2
1 1 0
1 1 2
0 0 1
1 2 2
0 2 2
2 0 1
10 9
2 1 2
3 1 1
1 3 0
3 3 1
1 1 2
2 0 1
0 2 1
3 1 0
3 0 2
2 1 1
10 2
2 2 0
3 3 3
1 1 2
0 3 3
1 0 2
2 0 3
3 1 1
3 2 3
1 2 2
0 0 1
10 9
1 2 0
2 2 0
1 0 1
0 0 0
0 2 1
1 2 2
2 2 2
2 0 0
1 1 2
0 2 2
10 8
4 0 1
1 0 0
4 4 2
1 4 0
4 1 4
0 0 3
4 2 2
1 4 1
3 2 0
3 3 3
10 8
3 0 0
0 1 1
3 2 2
1 2 1
1 2 2
2 0 1
2 1 3
3 1 3
2 3 0
0 2 3
10 3
4 3 4
1 2 4
1 2 3
3 2 4
0 1 4
3 0 4
3 0 3
0 0 4
0 3 1
2 3 3
10 9
4 1 3
3 4 5
5 5 5
1 1 5
4 5 2
2 2 2
5 3 0
3 3 2
2 0 1
3 5 4
10 6
1 0 1
0 1 4
1 1 0
1 4 3
4 4 1
4 0 2
2 1 0
1 3 4
4 4 2
0 3 4
10 3
0 3 2
1 0 1
3 2 2
2 0 0
1 1 0
0 2 1
2 2 2
2 0 1
0 3 3
1 3 3
10 9
5 5 0
0 0 5
0 4 4
5 2 3
2 0 2
0 4 0
4 1 3
4 1 1
5 4 4
4 0 3
10 6
2 1 2
0 2 1
1 2 0
2 0 1
2 2 0
1 2 1
1 2 2
2 2 2
2 1 0
1 1 1
10 8
4 5 4
1 2 2
5 2 0
5 3 2
5 5 2
3 1 2
4 1 1
5 4 0
1 5 2
3 4 0
10 3
3 0 1
1 3 2
1 2 3
3 2 3
4 0 3
2 1 2
2 3 3
2 3 1
1 0 3
1 0 2
10 3
1 1 0
3 3 2
3 1 2
1 0 0
2 0 2
2 2 0
2 1 2
0 1 1
0 1 2
2 1 0
10 8
4 1 3
1 5 2
4 0 5
2 3 1
5 3 3
3 0 1
2 0 2
0 1 3
2 2 3
0 0 2
10 2
3 3 3
3 0 2
2 1 0
1 3 1
0 0 0
1 0 3
0 0 3
3 0 3
3 1 3
1 1 2
10 6
2 0 3
1 3 0
2 3 1
2 2 1
1 3 1
3 0 3
3 2 0
2 1 1
1 2 1
0 0 0
10 4
0 0 2
3 0 4
1 2 4
2 4 0
0 0 1
0 2 3
1 1 4
0 1 1
3 2 4
2 1 0
10 3
1 1 0
1 0 1
1 1 2
1 0 2
0 1 2
0 1 1
1 0 0
0 2 2
2 0 0
1 2 0
10 6
0 3 1
4 4 0
3 4 3
4 1 4
1 4 4
4 4 1
3 2 2
0 2 2
0 4 4
0 2 1
10 3
2 0 0
1 1 1
0 0 2
0 1 0
0 2 2
2 0 1
1 1 2
1 2 1
0 2 0
1 0 0
10 2
0 1 2
0 3 2
1 3 1
1 3 3
2 3 1
3 3 3
3 2 0
3 3 2
1 0 0
2 0 3
10 4
0 0 0
1 1 2
0 1 1
2 1 0
0 2 0
0 1 0
1 2 1
1 0 0
0 0 1
0 1 2
10 8
1 1 3
1 2 3
1 2 0
2 0 3
2 0 1
2 0 0
1 3 2
2 2 1
3 2 2
3 1 2
10 3
1 2 2
0 2 0
2 2 0
0 2 1
1 0 0
2 0 1
1 2 1
1 2 0
2 1 2
0 1 1
10 2
0 3 1
3 2 1
1 3 2
1 4 0
1 2 3
0 2 1
0 1 1
0 4 1
3 3 1
1 3 0
10 3
0 0 5
1 0 2
4 1 4
5 4 0
5 2 2
5 4 3
2 4 2
5 3 4
3 5 5
0 2 3
10 5
5 4 3
2 0 2
3 0 5
2 5 3
0 0 4
5 5 2
3 5 4
3 2 0
1 2 4
2 2 2
10 3
2 3 2
2 1 0
2 0 0
0 0 0
1 3 1
3 1 2
3 3 0
3 0 3
1 2 0
3 2 0
10 2
1 5 4
3 3 1
0 5 2
1 0 3
3 4 3
5 2 0
0 2 5
2 0 5
4 5 3
3 5 1
10 5
3 0 1
0 0 2
2 2 1
3 0 3
2 0 0
0 0 0
3 0 0
0 1 2
2 1 0
0 2 2
10 9
2 1 3
0 1 2
1 1 2
3 3 4
2 0 0
2 3 4
2 4 0
3 0 4
4 3 0
4 4 3
10 9
0 3 1
3 5 3
3 2 3
1 0 1
4 4 3
4 0 5
5 0 5
3 2 2
5 4 2
4 5 4
10 2
0 1 2
1 0 2
2 0 1
1 1 0
1 2 0
1 1 2
1 2 1
2 1 1
2 2 0
1 1 1
10 6
3 0 1
4 3 1
2 3 3
2 0 4
1 0 1
2 4 2
0 0 4
1 2 0
1 3 3
4 3 0
10 3
0 0 1
1 3 0
0 0 0
2 0 2
1 2 3
1 2 2
2 3 0
3 3 2
1 0 2
0 0 2
10 7
1 0 1
0 1 2
1 1 1
0 0 0
1 0 0
2 1 0
0 0 1
2 0 2
1 1 0
1 2 0
10 6
0 4 4
1 5 5
3 0 4
1 1 4
4 5 4
5 0 1
2 3 1
2 5 4
0 1 1
4 1 1
10 2
0 0 4
1 1 1
3 1 3
3 0 0
0 2 2
1 0 3
2 4 1
1 1 0
4 0 3
1 0 4
10 6
2 2 2
1 0 2
1 0 0
0 1 0
0 0 1
2 2 0
0 2 0
1 1 1
2 0 0
1 2 1
10 6
2 1 0
3 5 0
4 1 4
0 4 3
4 4 0
1 5 3
0 1 2
2 5 4
3 4 1
2 0 2
10 3
1 1 1
3 3 1
3 1 3
1 3 1
3 1 1
1 2 3
0 3 3
1 1 0
1 0 0
1 3 0
10 7
3 2 1
3 3 1
0 0 0
3 3 3
3 0 2
2 2 0
3 1 0
1 3 2
0 3 3
0 1 1
10 8
5 2 2
3 3 1
1 5 1
2 0 1
3 1 1
2 3 3
2 2 0
4 1 4
2 0 5
4 4 3
10 3
1 3 1
0 3 0
0 0 4
3 3 3
3 4 3
4 1 3
2 4 3
2 0 0
3 2 2
2 1 4
10 4
0 3 2
1 2 3
1 0 2
0 2 0
2 0 0
1 1 0
2 0 3
1 1 3
2 1 0
3 2 0
10 6
1 2 0
2 2 2
1 0 0
1 0 1
1 0 2
2 1 2
2 2 1
2 1 1
1 1 1
1 2 2
10 4
0 0 0
5 3 0
3 1 4
0 5 4
5 1 5
4 2 4
2 4 4
2 5 1
0 5 3
2 4 1
10 7
0 2 1
3 1 3
3 1 2
2 2 3
3 3 0
1 3 1
2 3 0
2 1 1
0 2 3
3 2 1
10 3
1 1 0
2 0 2
1 0 0
1 0 2
0 0 2
1 1 2
2 0 1
0 0 1
0 0 0
2 1 1
10 6
4 2 4
0 2 3
0 2 4
1 0 0
4 1 0
1 0 4
0 3 2
1 2 0
4 0 3
4 4 4
10 7
2 2 1
3 0 0
2 2 4
3 0 3
3 2 2
2 3 1
1 1 2
4 0 2
2 3 2
1 1 3
10 2
0 2 5
2 1 3
0 3 2
4 2 2
0 0 4
4 5 5
3 5 3
0 3 3
5 3 3
0 1 5
10 8
1 1 3
3 0 3
1 0 2
0 1 2
1 0 0
0 2 0
2 3 3
0 3 1
2 0 1
0 2 3
10 8
0 3 2
1 1 0
3 1 3
2 1 1
2 2 0
0 1 0
1 2 2
0 0 3
2 2 1
3 0 0
10 4
5 3 2
1 3 4
0 1 2
2 5 1
2 4 4
3 5 2
1 1 4
3 1 2
2 5 3
5 3 4
10 7
0 2 1
4 2 1
1 5 5
3 1 0
5 0 4
3 1 4
4 1 2
4 4 0
2 0 4
5 3 5
10 5
0 1 1
0 2 1
0 2 2
2 2 1
2 2 0
2 1 1
1 0 2
0 1 0
2 1 0
2 0 1
10 8
5 2 5
5 5 5
5 2 4
5 1 2
5 0 1
2 3 5
3 5 2
2 4 1
4 1 3
2 3 1
10 8
3 0 2
1 2 3
0 3 2
1 2 0
0 2 2
3 3 2
0 3 1
1 3 1
0 0 1
1 3 2
10 8
0 1 1
0 1 2
1 2 2
1 0 0
0 2 0
1 1 0
1 0 2
0 0 0
1 0 1
0 0 1
10 2
1 2 2
0 2 0
2 2 2
1 3 2
0 3 3
2 3 0
2 2 1
1 2 0
1 3 1
3 1 3
10 7
0 2 1
0 1 1
2 1 1
2 2 1
0 0 2
1 1 1
2 0 0
2 2 2
2 0 2
2 1 0
10 7
3 1 2
4 4 2
4 3 4
1 2 2
2 3 1
1 3 2
1 2 3
4 3 1
0 2 1
0 4 3
10 5
4 3 4
2 3 0
2 1 2
1 1 1
4 4 3
2 3 2
3 2 0
0 3 4
2 2 2
4 1 2
10 2
1 2 2
0 3 4
4 1 4
3 0 2
4 4 3
2 1 4
4 1 0
3 0 3
3 3 3
2 1 0
10 9
4 2 0
4 0 3
3 4 2
0 4 0
4 2 1
3 3 2
5 1 5
1 5 2
1 0 4
3 4 5
10 8
4 0 3
2 0 2
1 2 2
4 3 1
1 4 3
3 4 4
2 4 1
3 3 2
4 4 1
2 3 4
10 7
0 1 2
5 2 3
0 2 4
0 2 2
3 2 5
4 4 2
3 5 2
2 4 2
5 1 0
5 0 3
10 6
2 2 1
2 1 0
2 0 2
1 0 0
0 0 1
2 2 2
2 2 0
0 0 0
0 2 0
1 0 2
10 2
3 3 1
0 1 2
2 1 0
0 1 0
1 0 1
3 0 2
0 0 3
0 2 3
0 3 1
1 1 0
10 8
1 3 1
4 1 4
0 1 4
5 4 3
4 1 5
4 2 2
3 2 1
3 2 2
5 0 5
0 2 2
10 5
0 2 3
4 5 2
4 1 2
5 2 5
5 2 4
4 4 2
3 2 5
2 5 2
1 3 0
2 2 2
10 6
2 3 1
3 3 0
0 2 3
1 1 3
3 1 0
3 1 2
0 0 0
1 2 2
1 0 1
3 2 0
10 5
1 0 2
2 0 2
2 2 0
0 1 0
0 0 1
0 1 2
0 2 2
1 2 1
2 1 0
0 1 1
10 9
0 0 0
1 0 2
0 1 2
2 2 0
1 2 1
2 0 2
2 2 1
2 1 1
2 2 2
1 1 0
10 6
2 1 2
1 2 3
0 2 2
0 1 0
0 0 0
0 3 1
0 1 3
1 3 0
2 3 3
2 0 0
10 4
1 1 1
2 1 2
1 1 0
0 1 0
1 1 2
0 1 1
2 2 2
0 2 1
1 2 2
1 2 1
10 2
2 3 2
5 0 3
3 3 2
5 2 5
0 5 0
2 4 3
5 1 1
3 1 2
2 1 3
2 4 5
10 5
4 3 2
0 2 0
0 3 0
3 2 2
4 4 2
1 2 0
4 2 0
0 0 2
2 1 3
3 4 4
10 3
4 2 5
1 3 2
3 1 4
4 0 1
5 3 0
1 2 4
1 5 0
2 2 5
4 0 0
3 2 0
10 3
4 4 1
0 4 2
1 2 4
4 2 4
4 1 1
3 2 2
1 1 0
1 1 3
4 1 0
1 3 2
10 7
1 2 1
2 2 0
0 0 0
2 1 2
0 0 2
0 1 0
2 0 2
1 2 0
0 1 2
2 2 2
10 9
2 1 0
2 2 0
0 1 1
0 2 0
2 2 2
2 0 0
2 2 1
2 0 1
0 2 2
0 1 2
10 7
0 4 0
0 4 3
2 3 3
1 2 1
3 1 2
2 4 1
2 4 0
1 4 0
0 2 2
2 2 4
10 6
3 3 2
0 1 3
1 1 0
3 0 2
0 3 0
3 3 3
3 1 2
3 3 0
0 0 2
0 2 2
10 2
4 4 4
1 1 3
1 4 1
0 2 4
0 1 2
1 4 3
0 1 0
1 2 1
2 1 2
3 2 1
10 2
0 3 1
2 0 3
2 2 1
1 3 2
0 3 3
3 2 0
0 1 2
1 1 3
1 0 1
2 1 1
10 9
0 0 1
2 1 0
0 1 0
2 0 2
2 2 1
0 1 2
0 2 0
1 2 0
0 0 0
2 2 0
10 5
3 3 2
1 0 1
3 1 0
0 1 0
2 3 1
2 2 2
0 0 1
1 0 3
1 0 2
0 2 2
10 9
2 0 2
2 0 1
2 2 1
0 2 1
1 0 0
1 0 1
0 2 0
0 0 0
1 2 1
1 1 1
10 7
2 0 1
0 1 0
1 2 2
0 2 1
2 0 0
2 2 0
1 1 1
1 2 1
0 0 1
1 0 1
10 4
4 1 0
2 4 5
1 3 2
2 0 0
4 2 4
5 5 3
3 2 5
1 3 4
2 5 2
2 2 5
10 5
0 2 2
1 1 0
2 2 2
0 2 1
1 2 1
0 0 0
0 1 0
0 0 2
2 1 0
0 0 1
10 6
2 1 3
2 2 1
2 3 0
3 1 2
1 2 2
3 1 3
1 0 2
0 1 1
2 3 2
3 3 3
10 9
4 4 5
2 1 1
3 5 4
1 3 5
5 3 3
4 5 0
5 1 4
0 2 3
2 2 2
1 5 4
10 3
2 0 2
1 2 1
2 2 0
0 1 0
1 0 1
0 2 0
2 0 1
1 0 2
0 1 2
1 1 1
10 2
1 2 0
0 1 0
0 2 0
2 1 2
2 2 1
2 1 0
1 2 2
0 1 1
1 0 0
1 0 1
10 4
1 2 0
1 1 2
1 3 0
2 3 3
2 2 1
1 2 3
0 0 0
0 3 0
1 3 2
1 3 1
10 6
3 2 0
3 0 3
2 3 2
1 1 0
2 0 2
0 2 2
0 1 0
3 1 1
3 1 2
1 3 1
10 6
2 1 3
3 5 2
0 1 3
4 2 4
1 3 1
4 3 2
2 1 0
3 1 2
1 4 4
0 1 1
10 2
2 0 3
2 3 3
0 2 0
0 3 2
1 1 2
3 4 2
1 3 0
4 2 0
2 0 0
4 0 4
10 3
2 0 0
2 0 2
1 1 2
0 2 1
2 2 0
1 1 0
1 2 1
2 1 0
1 0 1
1 2 2
10 9
1 2 4
3 2 1
0 5 2
2 0 4
4 1 1
2 2 0
4 0 5
3 2 2
4 3 1
0 1 4
10 5
0 2 1
4 0 1
3 3 2
1 0 2
4 3 0
1 0 0
2 2 1
3 3 4
2 2 0
1 2 4
10 5
4 4 4
2 0 1
0 1 3
0 1 1
2 4 1
4 1 4
0 1 0
1 0 0
1 2 2
0 1 2
10 2
1 1 1
2 2 2
1 3 0
2 0 4
4 4 1
0 0 2
1 3 1
1 2 0
4 3 4
4 4 0
10 4
2 1 2
0 1 0
1 2 1
0 2 1
1 2 2
2 0 2
0 2 2
0 0 0
2 2 0
2 0 1
10 9
0 4 4
3 0 0
2 4 2
1 1 0
2 5 5
3 1 3
0 4 3
4 1 1
3 5 1
3 2 3
10 8
1 4 4
3 3 3
2 1 0
4 4 0
4 1 4
0 2 1
4 1 3
3 2 3
2 3 3
3 0 3
10 6
2 2 2
2 3 4
3 0 1
1 3 3
0 0 3
1 0 0
4 2 0
1 0 2
3 2 1
0 4 1
10 9
0 5 0
2 3 5
0 1 1
2 4 2
4 3 3
5 5 2
1 0 1
0 2 5
4 3 1
0 4 0
10 3
2 0 4
0 4 0
5 2 2
0 1 5
5 5 1
3 1 3
0 3 0
4 3 0
2 1 5
4 4 1
10 6
0 1 5
2 0 3
5 3 1
2 4 5
4 2 3
0 2 2
2 4 0
5 4 1
4 5 2
4 1 3
10 4
3 2 2
3 5 5
5 3 4
2 2 1
0 2 5
4 4 1
3 1 3
2 2 0
1 0 3
0 4 5
10 3
2 3 2
3 3 0
0 4 5
0 0 2
5 4 2
1 0 5
5 2 4
3 2 1
4 1 0
0 5 1
10 8
2 2 2
4 4 0
3 5 0
5 4 3
4 0 2
3 4 2
3 1 5
0 3 2
3 3 2
2 5 4
10 3
5 4 2
3 4 4
5 5 2
0 1 1
5 2 2
2 3 2
1 5 3
4 0 4
0 3 0
0 2 5
10 3
3 1 0
3 0 0
0 4 2
4 2 0
0 2 4
1 1 3
1 1 1
2 4 2
3 0 3
1 3 3
10 6
2 0 0
0 0 1
0 1 2
0 0 0
0 1 1
2 0 1
0 0 2
0 2 1
2 2 0
1 1 0
10 7
4 3 0
1 3 2
2 0 4
4 0 2
2 0 2
3 4 1
1 4 1
1 3 4
2 3 0
4 3 3
10 2
1 0 3
0 2 4
3 1 0
4 1 4
2 0 0
4 0 2
1 3 0
3 2 2
4 1 0
0 3 4
10 3
2 4 3
3 2 1
2 4 1
0 2 2
1 3 4
2 4 4
0 3 1
4 4 3
3 4 1
4 1 0
10 3
0 3 2
1 2 2
2 2 1
2 0 3
2 0 0
0 2 3
1 1 3
4 0 0
4 1 1
0 1 4
10 2
0 2 1
0 2 0
0 1 2
0 1 1
1 1 1
2 1 2
1 2 0
2 0 2
2 2 2
1 1 0
10 6
4 4 0
4 0 4
2 2 0
2 1 3
0 2 0
4 3 4
4 2 4
1 3 1
4 4 3
4 4 4
10 9
1 2 1
0 0 0
2 2 1
3 1 3
1 1 3
2 1 1
1 0 1
0 2 0
0 0 2
2 1 3
10 6
2 2 0
1 0 1
0 2 1
2 1 1
2 2 1
2 1 0
1 1 1
1 0 0
2 2 2
0 0 1
10 2
1 1 3
1 3 2
0 4 3
3 4 4
3 1 2
3 0 0
0 1 0
4 1 4
1 0 2
1 2 0
10 4
3 2 2
0 4 3
2 4 2
3 3 1
3 4 1
3 4 4
4 2 4
0 1 4
4 1 1
3 3 2
10 2
0 2 1
3 5 0
2 0 2
5 0 4
2 1 0
4 5 2
1 4 0
1 4 2
1 1 1
0 5 0
10 7
2 2 0
0 1 2
1 0 0
1 2 0
2 2 2
2 1 2
0 2 0
0 2 1
1 1 1
2 1 1
10 2
2 0 2
2 3 3
3 3 4
0 4 1
1 2 4
2 2 2
3 0 4
0 0 1
0 4 4
0 1 3
10 6
0 1 1
1 3 1
0 1 2
1 0 0
2 1 1
2 0 3
0 3 1
3 0 3
3 0 0
2 3 0
10 6
1 3 1
4 4 4
3 1 3
0 4 3
2 1 2
3 0 1
4 2 1
3 1 2
4 1 2
4 0 2
10 4
3 1 1
3 2 2
1 3 3
3 4 2
4 1 3
1 3 2
1 3 1
0 1 1
2 1 0
2 3 1
10 2
1 1 1
0 0 0
1 2 2
1 2 0
0 0 1
1 1 2
2 1 1
2 1 0
2 2 2
2 1 2
10 3
2 0 1
0 1 1
1 0 2
1 0 1
2 2 0
0 0 2
1 1 2
1 2 0
2 1 0
1 0 0
10 8
2 3 1
3 2 1
1 3 3
2 0 4
0 2 1
2 4 3
2 3 4
1 0 3
0 3 2
1 3 4
10 3
3 0 4
4 4 3
1 3 0
2 0 1
1 2 4
0 1 4
4 4 2
2 2 1
1 0 3
0 0 3
10 9
1 4 0
4 1 0
1 5 2
1 1 1
5 1 5
0 0 2
0 2 3
0 1 1
3 0 5
5 4 1
10 2
5 3 0
4 2 2
4 3 0
3 0 0
1 3 0
0 3 0
0 4 1
0 4 0
5 2 5
0 2 4
10 5
5 0 4
5 2 3
4 3 0
2 0 3
5 1 4
4 4 5
0 5 0
3 1 0
4 3 3
5 1 0
10 6
2 2 0
1 1 2
2 0 2
2 0 1
1 0 1
0 2 1
0 1 0
0 0 1
2 2 2
0 2 2
10 4
0 3 2
0 2 0
0 1 2
1 3 3
4 1 2
0 4 0
2 4 3
3 3 2
3 4 3
3 4 1
10 2
0 0 2
1 0 2
2 0 0
0 2 1
0 2 2
2 0 2
2 0 1
2 1 2
2 1 1
2 1 0
10 6
4 4 3
3 0 4
2 1 2
4 3 2
1 1 4
2 0 2
3 3 0
0 3 2
4 1 4
3 3 1
10 7
1 3 3
0 3 2
0 1 1
0 2 0
2 2 3
2 3 1
1 2 1
1 2 0
3 1 3
1 3 0
10 2
1 5 4
1 0 3
5 5 2
4 1 4
2 5 2
2 0 0
1 2 1
4 5 1
4 1 3
0 3 5
10 8
1 3 0
0 2 1
2 3 2
3 1 3
2 2 3
3 1 0
1 2 0
0 2 0
0 0 2
0 1 0
10 4
5 0 0
4 3 1
5 3 1
3 1 5
4 2 2
3 3 1
0 4 1
4 0 3
5 1 3
5 5 3
10 3
3 2 3
3 2 0
0 0 2
0 2 3
1 2 1
0 3 3
0 3 1
2 2 2
3 0 0
1 3 0
10 8
4 1 1
1 3 1
0 0 0
0 4 0
0 3 1
3 0 3
1 1 0
3 2 4
3 0 2
1 3 0
10 5
1 1 1
0 0 0
1 0 0
0 2 0
0 1 0
0 0 2
0 1 1
2 1 2
1 2 1
1 1 2
10 4
1 2 3
1 1 4
3 3 0
4 2 4
0 3 1
0 2 1
0 4 1
4 4 3
1 2 1
0 4 4
10 2
4 0 2
1 1 3
3 2 4
4 3 4
2 1 0
3 1 1
1 1 0
4 2 4
3 4 0
4 1 3
10 6
0 1 2
2 2 1
3 0 3
1 2 0
4 2 4
0 0 1
3 2 1
1 1 1
1 4 2
0 2 1
10 4
3 3 2
3 0 4
2 0 1
2 4 4
4 0 0
2 2 1
1 1 4
2 0 4
1 3 3
2 3 4
10 2
1 2 1
2 4 4
1 1 3
1 2 2
3 1 0
4 2 2
1 1 4
1 4 4
4 0 4
0 2 3
10 6
1 3 1
3 0 3
1 1 3
2 3 1
2 0 2
1 1 2
2 1 2
1 2 0
0 2 2
3 2 3
10 6
0 1 2
1 0 0
1 4 1
4 0 4
3 1 3
2 3 2
3 2 2
4 2 4
2 4 1
0 0 3
10 6
2 0 1
3 2 0
1 2 1
2 1 2
0 2 2
0 1 3
0 0 2
3 0 3
3 3 0
1 1 2
10 4
2 3 3
0 0 1
3 3 0
2 1 3
0 2 1
0 2 3
3 1 1
1 3 3
3 3 1
1 0 0
10 6
0 2 0
2 1 2
2 1 0
2 0 1
2 2 1
1 2 0
0 0 1
0 2 1
0 1 2
2 2 2
10 7
2 2 1
2 0 2
0 1 1
2 1 1
1 0 1
1 1 2
0 1 0
1 1 1
0 0 0
2 0 1
10 6
2 1 0
3 3 3
1 3 3
1 2 3
3 2 1
2 1 2
2 3 3
0 3 0
2 2 0
2 0 2
10 9
2 2 0
0 0 2
0 2 0
1 2 1
1 0 2
2 0 0
1 1 2
1 2 2
2 1 1
0 2 1
10 4
0 0 1
1 0 2
4 1 2
2 1 3
0 3 1
3 3 0
0 1 3
3 1 0
2 1 1
0 1 1
10 4
1 4 3
4 1 3
3 2 0
3 4 1
1 3 4
2 1 4
0 1 1
3 4 3
1 2 2
4 4 3
10 8
4 1 3
3 2 0
4 2 4
3 3 4
1 0 1
3 1 3
2 1 4
4 3 0
2 0 2
1 1 2
10 5
2 3 0
3 0 2
3 1 0
1 0 0
1 0 2
3 0 1
3 3 0
1 2 0
1 2 1
2 0 2
10 2
0 1 4
4 3 4
3 2 2
1 0 1
4 4 3
3 4 2
0 3 1
0 2 1
1 0 3
2 2 4
10 2
5 4 0
2 2 4
3 2 1
5 5 0
4 4 3
0 4 2
5 4 4
3 1 0
1 0 2
1 1 3
10 7
2 1 0
1 1 3
2 3 2
2 1 3
3 3 0
3 2 3
2 2 1
1 1 0
3 2 0
1 1 1
10 4
5 3 5
4 4 4
1 3 4
3 3 0
4 0 2
2 4 1
3 4 0
2 4 2
2 0 4
5 3 4
10 8
2 0 0
1 2 2
0 3 1
2 1 0
3 0 0
1 2 3
3 1 1
3 2 1
1 0 1
1 2 1
10 6
0 2 1
4 5 2
1 3 0
3 1 5
3 0 4
4 0 5
1 2 1
0 1 5
3 3 0
2 2 5
10 7
3 2 1
1 5 0
2 0 3
2 0 0
1 2 3
0 4 0
0 2 5
1 2 2
4 5 1
1 1 5
10 4
4 4 1
0 1 0
2 3 3
2 0 3
1 4 5
0 1 4
0 1 5
5 3 2
3 0 3
5 1 3
10 7
3 3 0
0 3 3
1 0 1
0 3 2
3 1 1
1 1 0
1 3 0
3 2 0
2 2 2
0 2 1
10 9
1 1 4
3 4 4
4 0 1
3 1 0
3 4 3
3 4 0
2 2 2
4 4 2
0 3 0
2 4 0
10 7
0 3 0
1 0 2
4 1 0
2 0 3
2 4 4
2 2 2
0 1 2
2 4 2
3 4 0
2 1 1
10 7
1 0 0
2 1 1
2 1 3
0 3 3
3 3 0
2 2 3
0 1 1
1 3 3
3 0 2
1 3 2
10 3
2 1 0
1 0 0
1 1 2
2 0 0
2 2 0
0 2 1
2 2 1
0 0 0
1 1 1
1 2 0
10 9
1 3 0
2 2 2
4 3 1
2 1 0
3 4 4
0 3 2
4 1 2
1 1 1
0 1 3
2 3 3
10 9
1 1 2
2 3 2
2 2 0
0 2 1
1 3 0
1 0 2
0 2 3
1 1 1
2 1 2
0 0 3
10 8
2 0 0
0 0 1
0 0 2
0 1 0
2 0 1
1 0 1
1 2 2
0 2 0
2 2 1
0 0 0
10 2
3 0 0
3 2 2
1 2 3
1 1 2
0 2 0
0 0 0
1 1 3
3 2 1
3 1 2
2 0 0
10 7
1 0 0
2 1 1
2 0 1
2 1 0
0 0 2
0 2 2
0 1 2
1 2 2
2 1 2
1 2 1
10 4
0 2 2
2 1 1
1 0 2
1 2 0
2 2 2
1 2 2
0 1 2
0 2 0
1 1 1
1 0 0
10 9
3 4 2
4 3 3
0 2 4
4 1 0
3 3 4
4 2 1
3 0 3
0 3 2
2 3 4
4 1 2
10 5
0 0 3
1 0 3
1 3 2
4 3 2
0 2 1
2 5 0
3 0 2
2 2 2
0 4 0
0 5 3
10 4
3 3 4
3 2 1
3 5 5
4 1 2
2 5 2
2 1 2
0 1 4
4 5 3
3 4 3
4 5 0
10 6
2 1 1
2 2 2
0 0 1
2 1 2
2 1 0
2 0 0
2 0 2
1 0 2
0 0 2
0 1 0
10 9
0 2 0
5 0 3
4 5 0
5 2 5
3 4 5
5 2 3
1 0 4
2 1 5
5 5 5
2 1 3
10 6
4 0 4
5 0 1
3 2 3
0 0 4
0 2 0
2 1 0
5 2 1
5 0 0
1 0 5
1 5 2
10 8
0 1 1
3 0 0
3 3 1
2 1 1
1 0 1
0 1 2
2 2 1
0 3 3
1 3 0
3 1 0
10 5
3 4 1
4 2 4
1 3 3
0 0 1
3 2 0
4 1 2
3 2 2
4 1 4
2 4 3
0 3 1
10 7
5 2 0
3 4 4
1 4 3
3 3 0
4 1 5
2 2 3
2 2 1
3 1 3
4 2 4
2 5 4
10 8
5 5 2
3 1 5
5 5 4
5 0 4
5 4 2
0 1 3
5 2 3
4 3 1
3 0 2
1 2 2
10 2
3 2 2
2 5 4
2 3 5
4 4 5
4 0 3
1 1 3
5 0 4
5 0 1
4 3 3
2 0 4
10 7
0 0 1
4 2 3
5 0 1
4 5 5
1 3 2
5 2 4
2 3 1
1 0 5
4 4 0
1 5 5
10 9
1 2 0
1 1 2
0 1 2
1 0 1
2 2 1
2 1 2
0 0 2
0 0 0
2 0 0
0 1 0
10 4
1 2 1
4 3 0
2 2 3
3 1 2
1 3 0
0 0 2
4 0 4
3 0 3
2 4 1
2 1 4
10 8
1 3 2
2 2 1
3 3 2
2 1 1
0 0 0
3 3 3
0 3 3
3 1 0
2 3 3
2 1 3
10 8
0 0 0
4 3 1
0 0 3
4 2 3
1 1 3
2 3 2
3 1 2
4 4 1
2 2 0
3 4 0
10 6
0 1 2
0 2 1
2 0 0
1 1 1
0 1 1
1 1 2
0 2 2
1 1 0
2 1 0
0 0 2
10 7
1 2 1
2 2 4
3 2 3
2 0 3
2 1 1
1 4 3
3 0 3
4 4 4
0 4 2
4 3 3
10 4
2 2 0
1 2 1
0 1 0
0 0 1
0 2 0
0 2 2
2 2 2
0 0 2
0 0 0
2 1 2
10 7
2 4 1
3 1 1
2 3 1
2 2 1
1 2 4
0 1 2
0 1 1
3 4 1
4 0 4
4 4 0
10 8
1 1 0
2 0 2
0 1 0
2 1 0
0 0 0
1 0 0
0 2 2
2 0 1
0 1 1
2 2 1
10 2
1 4 4
2 1 4
4 1 2
3 4 4
4 2 2
3 1 2
1 0 3
1 3 3
1 1 3
0 3 4
10 6
4 2 3
4 2 1
2 2 0
0 2 4
0 4 1
3 3 2
2 4 0
4 0 0
3 0 0
3 3 0
10 2
0 3 1
3 0 1
2 1 2
2 3 1
2 0 2
1 1 3
1 2 3
3 3 2
0 3 0
0 2 2
10 2
1 1 2
2 1 2
0 2 0
1 2 0
0 2 1
1 1 1
0 1 0
0 0 2
2 0 2
1 0 1
10 6
0 2 2
2 0 0
4 2 3
0 1 0
1 3 3
4 4 2
0 3 0
1 1 2
2 4 1
0 1 1
10 3
2 2 2
0 0 0
0 1 2
2 0 0
0 0 2
2 1 1
0 1 0
0 2 2
1 1 0
0 2 1
10 6
2 4 1
0 4 2
2 2 1
2 3 1
0 1 3
3 0 4
4 3 0
2 0 2
1 3 3
1 2 1
10 4
1 0 2
2 0 0
0 2 2
0 1 2
0 1 1
1 2 0
1 1 1
2 1 1
0 0 1
2 1 2
10 8
0 1 2
3 0 3
2 1 2
1 1 2
0 1 0
3 1 2
2 2 1
2 1 0
3 1 1
0 1 3
10 4
4 0 4
1 0 4
2 4 2
3 2 4
1 1 0
4 0 0
0 3 1
2 3 3
0 0 0
0 2 2
10 5
0 1 3
1 4 4
4 1 3
0 5 4
2 4 0
1 0 0
3 4 3
1 4 0
0 2 1
5 5 2
10 6
0 0 1
0 2 1
2 2 2
2 1 0
3 0 2
2 3 2
3 0 0
3 1 1
1 2 0
0 0 2
10 6
0 2 2
1 1 1
0 0 0
0 2 1
1 0 1
0 0 1
1 0 0
1 2 1
2 1 2
0 0 2
10 4
0 3 3
0 1 0
3 2 0
3 2 2
2 3 3
0 1 1
2 2 3
0 2 1
3 3 0
3 2 1
10 2
3 4 0
1 1 2
4 2 0
1 4 1
0 1 1
4 0 3
1 0 4
1 3 1
0 2 0
4 4 0
10 6
2 3 1
3 3 0
1 2 0
2 2 2
1 1 1
0 1 2
0 2 3
0 0 2
3 0 2
0 2 1
10 4
1 5 2
5 4 2
0 5 4
3 2 4
3 4 4
2 5 2
3 3 4
5 3 3
2 0 4
0 5 3
10 7
1 2 4
3 0 0
2 3 1
3 1 3
3 4 0
2 3 0
3 0 2
3 0 3
2 3 3
2 4 4
10 5
3 3 1
4 2 3
4 1 4
2 5 5
2 4 3
5 4 4
2 2 3
2 2 5
0 2 4
2 5 3
10 2
3 4 1
4 1 4
2 3 4
0 0 0
0 4 0
0 1 4
3 2 0
0 4 3
1 0 3
4 0 1
10 7
3 3 3
3 0 1
0 3 2
2 0 1
1 2 2
0 1 3
1 1 2
1 0 3
2 3 1
1 0 0
10 5
2 0 1
2 0 0
0 2 0
1 1 1
2 0 2
0 1 0
2 1 2
0 0 0
1 2 1
0 0 2
10 8
0 4 3
3 4 5
1 3 5
1 0 0
3 0 5
5 2 1
3 4 4
5 5 1
1 1 0
2 1 2
10 7
3 1 4
1 4 4
2 1 3
0 0 2
0 0 4
3 4 4
1 1 1
4 0 5
0 5 5
5 5 3
10 7
2 0 1
0 1 3
2 4 3
0 4 1
3 4 2
1 3 2
3 2 3
3 1 1
0 3 2
4 1 4
10 8
3 0 4
3 4 1
3 3 2
3 1 1
3 2 3
3 3 1
4 1 1
1 1 1
2 3 4
2 1 0
10 4
2 1 1
1 1 0
1 2 0
1 1 2
2 0 2
2 1 0
2 0 0
0 2 1
0 1 0
0 0 1
10 3
1 3 1
3 2 3
1 0 1
3 3 3
0 2 0
1 3 0
0 2 1
1 1 2
1 0 0
2 1 2
10 4
2 1 1
0 3 2
1 3 4
1 2 2
3 4 2
3 4 1
2 4 0
0 2 1
3 4 4
0 1 2
10 7
2 0 3
2 1 2
1 1 1
0 0 0
3 0 1
1 2 3
0 2 1
3 0 3
2 3 0
3 3 3
10 5
2 0 0
2 1 2
1 2 2
2 1 0
2 2 1
2 2 0
2 0 1
0 0 1
1 2 1
2 1 1
10 5
0 2 1
0 1 2
1 1 0
1 1 1
1 0 1
1 0 2
2 0 1
0 0 2
0 1 0
0 2 2
10 2
2 1 2
2 2 1
0 0 1
2 1 0
2 0 1
1 2 2
1 1 1
1 2 0
2 2 0
2 2 2
10 8
1 0 2
2 0 0
1 0 3
2 2 1
1 2 2
2 0 3
0 3 0
0 0 1
0 2 1
0 3 3
10 7
2 0 1
1 0 1
0 0 1
0 1 2
2 2 2
0 2 1
0 0 2
1 2 0
1 1 0
1 0 2
10 4
3 3 1
1 2 3
3 2 2
3 0 0
1 0 2
2 2 1
1 0 3
1 2 2
1 1 3
1 1 0
10 8
0 0 1
2 0 0
0 1 0
1 2 0
2 2 1
2 1 2
2 0 2
0 1 1
1 1 1
2 2 2
10 4
1 3 0
1 1 3
0 3 1
2 3 3
1 0 0
3 3 1
3 1 0
3 2 3
3 1 3
1 3 2
10 9
1 3 3
0 1 2
1 2 2
1 0 1
2 3 1
0 3 1
3 1 2
1 2 0
2 1 2
0 3 3
10 4
0 3 0
0 3 2
2 4 3
3 4 3
2 3 1
2 0 3
2 2 3
3 4 0
4 3 2
3 3 3
10 7
0 1 1
0 2 1
1 1 0
2 2 1
0 1 0
2 1 1
0 0 2
0 2 2
2 1 0
1 2 2
10 4
2 1 0
2 2 1
0 1 1
1 1 1
2 0 1
0 0 0
0 1 0
0 1 2
2 1 2
0 2 2
10 6
0 1 1
2 0 0
1 1 1
2 1 0
2 2 1
1 1 0
0 0 1
0 2 0
0 1 2
2 2 2
10 5
0 0 2
2 3 1
1 1 3
2 2 1
3 0 3
0 2 0
0 1 3
0 0 3
1 0 0
3 2 3
10 4
2 1 2
1 1 1
1 2 0
1 0 0
2 0 2
2 1 0
1 1 0
0 2 2
1 1 2
0 1 1
10 7
2 2 1
2 0 1
2 0 2
0 2 0
1 2 0
1 1 1
0 1 0
0 2 1
0 0 2
1 1 0
10 3
3 5 4
1 0 3
2 3 4
1 3 5
2 3 1
5 2 2
3 3 0
1 4 1
1 3 0
2 5 5
10 4
1 0 1
0 0 1
0 0 2
1 2 1
2 0 0
0 2 0
0 2 1
0 1 0
1 0 0
2 2 2
10 4
2 3 0
2 0 1
3 1 3
3 1 0
1 2 2
1 1 3
0 2 3
2 2 0
2 3 2
1 1 1
10 2
0 3 3
2 3 3
0 3 0
3 0 1
0 0 2
1 4 3
3 3 2
1 1 0
4 2 0
2 0 1
10 6
1 5 1
2 3 4
0 4 3
4 0 3
4 4 3
4 5 2
4 3 0
1 2 2
1 2 5
0 1 0
10 5
3 0 3
4 0 2
0 5 1
3 4 0
0 4 4
5 0 1
3 3 4
4 5 5
0 0 4
4 0 5
10 5
5 0 2
4 4 1
1 3 5
2 1 4
5 5 3
3 0 1
0 4 5
0 1 1
5 3 1
5 0 3
10 6
3 2 2
2 3 3
3 1 2
0 3 3
0 3 0
0 1 0
1 3 1
0 0 2
2 2 0
3 3 0
10 8
1 0 2
1 3 0
3 1 2
0 0 2
0 2 2
3 2 0
2 1 2
1 1 2
1 1 3
1 3 2
10 4
5 2 3
0 0 3
4 4 1
2 3 4
1 1 1
2 0 2
3 1 3
2 0 0
2 1 4
4 0 3
10 9
2 3 0
1 0 1
0 3 0
0 1 3
0 1 1
2 0 1
2 2 2
2 2 0
2 1 1
1 0 2
10 8
2 2 2
0 2 1
0 0 1
1 1 0
1 0 2
2 0 1
1 2 0
0 2 0
2 2 0
0 2 2
10 3
1 0 1
3 1 0
3 3 4
4 3 3
0 0 4
1 3 0
1 4 3
4 0 1
0 1 1
3 3 0
10 7
1 4 0
0 3 1
2 5 3
1 5 2
3 0 5
3 1 4
0 5 5
2 3 1
4 0 0
1 2 2
10 7
3 0 1
0 0 1
2 2 2
0 0 2
3 0 2
1 0 0
2 1 0
1 2 0
2 1 3
3 1 0
10 6
1 4 2
2 0 0
3 1 0
4 3 4
1 1 1
0 3 0
1 3 3
4 3 0
0 2 0
1 1 3
10 9
5 3 5
5 5 3
5 5 0
4 4 4
0 4 1
0 5 2
1 5 0
1 5 1
0 2 4
5 0 5
10 2
3 3 0
1 0 3
0 2 1
1 1 2
0 2 2
2 2 0
1 2 0
1 2 2
2 0 0
0 0 1
10 2
1 2 1
1 0 0
0 0 2
2 2 0
0 2 0
1 1 1
1 0 2
1 1 2
2 1 1
2 0 1
10 5
3 0 3
2 0 0
3 0 1
0 1 2
2 1 2
0 0 2
3 1 2
3 1 0
1 0 0
3 2 3
10 4
0 3 4
0 1 1
0 1 2
3 0 0
4 2 2
2 0 2
1 1 3
2 3 4
1 0 3
4 3 4
10 6
0 2 0
2 0 0
2 0 1
1 2 1
1 1 2
0 1 1
1 1 0
2 1 0
0 0 0
2 0 2
10 7
1 1 1
3 1 0
0 2 0
1 2 2
0 3 1
0 1 1
2 1 1
3 1 1
3 1 2
2 3 3
10 5
0 1 0
0 1 1
0 0 0
5 3 3
1 1 3
1 4 0
2 4 1
4 5 4
3 4 5
3 4 1
10 9
3 0 2
2 0 2
2 2 3
0 1 0
2 0 3
0 0 1
2 3 1
1 1 3
2 3 3
3 0 0
10 6
0 3 5
3 2 5
5 4 0
4 5 5
0 2 0
5 0 4
5 5 1
2 3 1
2 2 1
5 2 4
10 9
0 0 2
0 1 2
0 0 1
2 1 0
2 0 0
1 0 1
1 0 2
0 0 0
1 2 0
1 1 1
10 5
1 3 3
4 3 4
3 2 0
3 3 0
1 0 0
0 2 4
4 3 0
4 2 4
4 2 2
3 1 1
10 2
2 3 5
1 1 2
3 5 5
0 3 5
4 3 0
0 0 3
1 1 1
1 2 0
1 0 1
1 5 5
10 3
1 2 0
2 0 1
1 1 2
2 2 1
2 1 2
0 1 1
1 2 1
0 0 2
0 0 0
2 2 0
10 2
1 1 0
1 2 1
2 1 0
2 0 1
2 2 1
0 0 2
0 1 0
1 1 2
2 1 2
1 0 1
10 9
0 1 1
0 3 2
1 3 0
0 1 3
3 1 0
2 3 1
3 2 1
3 2 3
3 0 1
2 0 0
10 4
0 2 1
2 0 2
0 1 2
2 1 2
2 2 1
1 0 2
2 1 0
2 0 1
2 1 1
1 2 2
10 3
0 2 2
0 1 3
2 1 2
0 3 2
1 3 2
2 2 0
2 3 1
0 1 0
3 0 2
2 1 3
10 9
0 1 3
3 2 2
1 2 1
1 0 0
0 0 2
0 1 0
1 2 2
3 0 3
2 2 0
2 2 1
10 3
0 0 2
1 1 0
5 5 4
5 2 2
5 4 2
3 4 1
4 4 2
1 0 3
1 0 2
1 4 3
10 8
4 2 3
2 3 3
2 2 4
0 3 4
4 2 2
1 4 1
0 3 3
1 0 3
2 0 2
1 2 2
10 3
1 2 1
0 1 2
1 1 1
0 2 1
1 0 3
1 3 3
3 1 3
3 2 1
3 3 3
2 0 0
10 8
0 3 1
5 2 0
2 2 0
0 2 2
3 4 4
3 2 1
3 5 0
0 0 3
2 3 5
3 2 3
10 8
1 0 1
2 0 0
1 2 0
2 2 2
0 0 2
1 1 1
1 2 1
0 2 2
0 1 0
2 0 2
10 6
2 0 3
3 1 4
0 3 1
4 1 2
3 3 3
4 4 0
0 0 1
0 2 0
2 3 4
3 0 1
10 9
1 1 2
3 2 1
3 1 3
3 3 1
0 2 3
1 2 3
3 1 0
2 1 3
3 1 1
0 3 3
10 3
4 2 1
1 0 0
0 3 1
0 1 0
2 1 0
2 3 4
2 3 3
4 4 3
3 1 1
4 4 4
10 8
0 0 0
0 2 1
0 3 2
0 3 0
3 3 3
1 3 1
3 1 1
1 0 3
1 2 3
0 1 3
10 5
0 3 1
0 3 3
2 1 3
1 3 2
0 1 3
0 2 0
1 0 0
1 1 2
1 3 3
3 0 2
10 8
0 2 1
0 3 1
3 3 1
4 4 2
5 5 3
2 4 4
1 1 4
1 3 2
3 1 4
0 1 3
10 9
3 0 2
3 3 0
0 1 0
1 2 2
2 2 2
0 3 2
1 1 2
0 1 2
0 3 1
3 0 1
10 3
1 2 5
0 5 2
5 3 5
2 0 3
1 2 1
1 4 5
2 2 1
0 1 5
2 2 0
4 5 1
10 4
0 2 2
0 2 0
0 0 1
2 0 2
1 2 0
1 0 0
2 1 1
2 1 0
1 2 1
1 1 1
10 2
3 2 4
3 3 3
1 3 2
2 4 2
3 2 1
1 3 3
1 2 0
2 0 3
4 0 2
4 4 2
10 7
1 0 2
0 1 2
1 1 3
0 3 3
2 1 1
2 3 2
0 0 2
0 2 2
2 3 0
1 3 1
10 8
3 2 0
0 2 0
2 2 2
0 1 1
1 1 2
0 1 0
3 1 1
0 2 1
0 3 3
1 2 3
10 8
1 1 1
0 1 0
2 0 2
1 0 3
1 0 2
2 3 0
0 2 0
0 0 3
3 1 2
3 3 1
10 4
3 1 2
0 4 1
0 2 4
2 1 1
3 2 4
4 0 1
0 2 0
3 0 4
4 0 4
1 2 4
10 5
2 2 1
2 1 0
1 0 1
0 2 1
2 2 2
0 0 1
1 1 1
0 2 2
0 1 2
1 1 0
10 2
3 0 3
1 1 3
3 1 0
1 1 0
1 0 3
1 2 1
1 3 1
2 1 2
1 0 2
3 2 3
10 3
5 4 3
4 4 2
3 5 5
2 5 3
1 2 1
5 0 5
0 0 0
2 4 2
4 4 4
5 5 1
10 4
1 2 0
0 3 0
4 1 1
1 4 1
3 4 2
0 0 4
2 0 4
4 4 4
1 2 4
2 2 3
10 2
3 3 2
3 2 2
3 0 0
2 3 1
1 0 4
4 2 4
4 2 1
1 2 4
0 0 1
4 1 4
10 4
0 4 0
4 0 2
4 2 0
3 4 1
3 0 0
3 5 2
5 1 4
1 1 3
1 0 5
3 3 5
10 5
0 1 4
1 2 0
0 3 0
1 2 2
0 2 3
1 4 4
0 4 3
2 1 4
3 1 4
4 3 0
10 3
1 4 2
2 0 0
0 0 1
3 4 4
1 1 2
4 4 1
1 4 1
0 1 4
0 1 2
1 3 0
10 4
0 0 0
2 2 1
2 1 1
1 2 1
1 1 0
0 2 2
1 0 1
1 2 0
2 0 1
2 2 2
10 7
3 0 0
0 0 1
3 2 0
2 3 2
0 2 2
2 3 1
0 3 0
3 0 1
1 0 3
0 0 3
10 3
2 2 2
1 0 2
0 2 1
2 1 1
2 1 2
0 2 0
0 1 2
1 0 1
2 1 0
1 2 1
10 9
0 2 0
0 0 1
2 0 2
2 2 2
2 1 1
2 2 0
0 0 2
0 1 1
0 0 0
2 0 0
10 6
2 1 1
0 3 0
1 0 0
2 4 4
2 2 2
2 3 4
4 4 3
2 4 2
2 4 1
2 3 3
10 7
2 0 0
1 1 0
2 2 2
0 2 0
0 2 2
2 2 1
0 1 1
1 0 0
0 0 0
1 2 1
10 4
2 3 2
1 3 3
2 0 0
3 2 2
2 2 1
3 2 0
0 1 0
3 0 1
1 3 1
1 2 0
10 2
0 0 2
0 2 2
2 1 0
2 2 0
2 0 2
0 2 0
2 0 0
0 1 2
1 1 0
0 0 0
10 4
1 5 2
5 3 1
2 2 2
3 2 4
3 3 4
1 3 4
1 5 3
2 0 2
5 2 1
5 4 5
10 3
4 1 3
2 5 1
2 5 5
2 0 2
3 3 0
1 0 4
2 4 2
3 3 2
5 5 2
4 3 3
10 8
4 1 2
3 3 1
3 4 4
1 2 1
3 4 2
2 2 1
1 0 3
0 2 0
2 4 0
0 2 3
10 3
3 5 5
3 5 4
4 5 5
4 3 4
4 0 1
1 0 3
4 3 5
5 1 1
3 3 5
4 4 1
10 8
2 0 2
0 1 0
2 1 1
0 0 0
2 2 0
0 2 0
0 2 2
2 1 0
1 1 2
1 0 0
10 9
0 0 2
2 0 2
1 1 1
1 2 2
2 1 1
2 0 1
0 1 1
1 2 1
2 2 1
0 0 0
10 4
1 5 1
1 0 1
5 3 2
3 2 1
0 0 2
3 2 3
4 0 0
1 5 2
4 0 3
5 5 4
10 4
0 0 1
1 1 2
1 2 2
2 1 0
1 0 0
1 2 0
0 0 2
2 0 2
0 0 0
2 0 1
10 6
1 0 1
3 0 3
2 0 1
0 3 3
2 1 0
3 0 0
0 3 1
3 2 3
0 2 2
2 2 0
10 2
2 2 2
4 2 3
1 3 4
3 2 4
3 4 4
0 2 0
0 0 3
0 2 4
2 4 4
2 4 0
10 5
1 1 1
2 1 0
0 0 0
0 2 0
2 2 0
2 0 1
2 0 2
0 1 0
0 2 2
0 2 1
10 7
0 1 2
1 2 2
2 1 0
1 0 0
2 1 2
2 0 0
2 2 2
0 0 2
2 2 1
0 0 1
10 6
1 0 0
1 0 1
2 2 1
2 2 2
2 0 2
0 0 0
0 2 0
1 1 1
0 2 2
2 1 2
10 5
0 2 2
1 0 1
3 1 2
2 3 1
1 3 0
1 2 3
1 1 1
3 0 2
0 2 1
1 0 3
10 5
3 4 3
3 0 4
1 4 0
2 3 1
4 3 0
0 4 2
4 3 4
3 3 0
0 0 1
1 2 2
10 7
0 1 0
0 2 2
1 1 1
1 2 0
0 1 1
2 0 2
0 1 2
1 0 1
2 0 0
1 1 2
10 3
5 5 5
0 5 2
3 5 4
0 3 4
1 4 0
3 1 1
3 5 0
0 3 1
0 0 4
3 4 5
10 6
2 1 4
1 4 0
4 3 3
0 0 3
1 1 4
4 4 4
0 3 3
3 1 0
0 2 1
3 0 1
10 5
3 1 0
2 3 3
1 3 1
2 3 2
2 1 0
1 2 0
0 3 1
2 3 1
0 3 2
1 2 3
10 8
2 1 0
4 0 3
4 1 2
2 3 2
3 2 3
0 2 4
1 0 3
4 2 3
3 3 0
4 2 0
10 5
1 3 0
0 3 0
2 1 2
2 3 1
1 2 3
0 0 0
1 0 1
0 1 0
3 2 1
3 1 1
10 6
1 0 2
1 2 1
0 1 1
0 0 2
2 2 0
1 0 0
1 1 1
2 1 0
2 1 1
1 2 2
10 4
1 1 3
0 4 0
3 0 3
1 2 3
3 4 1
0 0 0
3 4 2
3 2 4
4 4 0
0 3 0
10 9
1 0 2
0 0 3
1 4 3
5 4 1
2 1 0
1 3 4
3 4 1
3 5 3
0 4 5
2 5 4
10 8
4 1 0
0 1 4
3 4 4
1 1 4
2 4 0
3 4 3
4 2 0
1 2 1
0 0 1
3 1 3
10 7
1 1 2
2 2 2
3 2 1
3 0 1
0 1 4
4 1 3
2 3 1
3 1 3
4 4 0
1 2 3
10 5
0 4 2
0 2 5
0 1 4
2 2 2
3 5 5
1 5 1
1 1 5
3 4 1
5 5 4
2 5 3
10 2
3 3 4
1 1 0
2 1 3
1 1 3
0 4 2
3 4 1
2 1 1
2 2 0
0 1 0
0 3 4
10 3
3 3 0
2 1 3
1 1 0
2 2 3
3 2 2
0 3 0
1 3 2
0 0 2
2 0 1
2 3 0
10 8
0 2 3
0 0 1
0 2 2
3 2 3
0 2 0
2 2 0
3 0 3
3 0 0
1 3 0
1 1 1
10 2
2 2 0
0 2 1
2 2 2
0 3 0
3 2 2
1 2 1
0 3 2
1 3 1
2 0 3
3 2 3
10 8
2 1 0
1 2 1
0 1 1
0 2 2
1 0 1
1 1 2
0 0 1
1 0 2
1 0 0
2 2 1
10 9
4 0 2
2 5 4
3 0 0
2 5 1
1 5 1
5 0 4
0 4 1
4 3 0
5 5 4
2 1 3
10 9
0 3 3
0 1 5
0 4 2
3 5 1
0 2 1
5 1 2
2 0 1
5 1 5
2 5 3
2 5 0
10 9
0 3 1
3 0 0
3 0 2
3 2 1
0 1 0
3 3 3
1 3 1
0 3 0
0 1 3
1 2 0
10 9
2 1 0
2 0 2
0 1 2
2 1 2
2 0 0
2 2 2
2 0 1
0 0 1
0 1 1
0 2 0
10 9
1 5 1
2 0 4
1 3 4
3 5 5
1 4 3
4 3 1
5 1 0
3 4 3
2 1 5
5 3 2
10 9
2 2 1
2 1 0
2 1 1
1 1 1
2 0 1
0 0 0
2 0 0
0 2 1
1 2 0
0 2 0
10 4
0 3 1
1 0 0
3 2 2
3 3 2
2 2 1
2 0 2
2 3 3
3 2 1
0 0 2
1 1 2
10 6
2 2 3
0 0 1
1 0 3
0 3 3
2 2 1
3 3 1
3 2 3
1 1 3
0 0 3
3 1 0
10 8
5 3 3
1 5 3
5 1 0
2 0 4
0 5 2
0 4 1
3 3 4
4 5 4
2 5 0
3 3 5
10 7
1 2 0
1 1 1
1 1 2
1 0 2
1 0 0
2 1 2
1 0 1
0 1 0
1 2 2
2 2 1
10 4
1 3 4
5 4 0
3 2 2
4 3 2
1 2 2
4 0 2
0 3 5
2 5 5
1 4 4
3 0 1
10 6
3 3 4
3 4 0
1 4 4
3 2 3
2 1 0
0 1 2
1 0 2
0 3 1
2 0 0
0 1 1
10 6
2 1 1
1 0 1
2 1 0
0 2 0
2 2 2
2 0 0
0 0 1
0 0 0
2 1 2
2 0 2
10 6
1 1 0
0 0 1
0 2 2
2 0 0
2 1 1
1 2 2
1 1 2
0 0 2
1 2 1
1 2 0
10 6
5 1 3
4 1 2
2 1 5
5 2 5
1 2 0
1 4 0
1 2 5
1 1 0
1 4 1
2 2 3
10 2
0 2 1
1 2 2
1 1 0
0 0 1
2 2 1
1 0 1
1 2 0
2 1 2
2 2 0
0 1 0
10 3
0 2 0
1 1 1
2 0 1
2 2 0
0 0 1
1 1 2
2 1 0
1 1 0
1 2 1
1 2 2
10 3
3 5 1
4 3 4
5 5 3
2 5 2
2 4 2
1 1 0
4 3 0
1 2 4
0 0 3
4 3 3
10 2
1 2 0
0 0 0
0 2 1
1 0 2
0 1 2
0 1 1
0 1 0
1 2 2
2 0 1
2 2 2
10 5
0 2 1
1 0 1
0 1 0
0 1 1
0 0 0
2 0 0
1 0 2
2 1 1
1 2 2
1 0 0
10 6
5 1 4
1 5 4
3 1 2
4 3 0
5 0 4
0 4 4
3 5 5
4 4 1
3 3 3
2 0 1
10 2
3 2 3
3 1 0
2 0 2
1 3 1
0 4 3
2 3 4
1 2 4
4 3 0
0 0 5
5 0 5
10 8
0 2 2
0 1 0
1 1 1
1 1 2
2 1 0
1 1 0
0 1 2
2 2 0
2 1 2
1 2 0
10 9
4 0 0
3 2 1
4 2 4
3 0 0
1 4 4
0 4 0
2 0 3
2 3 2
1 4 2
2 0 0
10 9
1 5 3
4 5 0
3 5 2
1 0 4
5 2 3
5 0 4
0 3 2
2 5 3
0 2 4
0 5 0
10 9
1 0 0
0 1 4
1 3 3
3 3 2
0 0 2
0 4 4
2 4 1
3 3 3
2 4 3
1 2 4
10 5
3 4 3
4 1 2
3 3 1
1 4 2
0 2 1
0 1 4
1 1 4
0 0 0
1 2 4
2 1 3
10 9
1 0 1
2 2 2
0 2 0
0 1 0
1 0 2
1 1 1
1 2 0
1 2 2
0 2 1
0 1 1
10 4
0 4 2
1 1 3
2 3 2
0 3 4
3 2 3
0 4 1
0 1 4
4 2 0
3 0 2
0 0 1
10 6
1 1 2
0 1 1
0 3 1
2 1 1
2 2 3
0 2 3
2 3 1
0 3 3
0 0 0
1 0 3
10 2
4 1 0
0 0 3
0 4 2
4 0 0
4 2 4
1 3 3
2 4 3
0 2 0
1 4 3
0 1 4
10 7
2 1 2
0 2 0
1 1 0
0 1 2
1 2 2
1 1 2
1 2 1
1 0 1
0 1 0
0 2 2
10 3
0 2 4
5 0 3
2 3 2
2 1 0
1 2 4
4 5 0
1 1 5
1 0 1
0 1 1
2 5 5
10 4
1 2 5
0 3 4
3 0 2
0 0 2
1 4 0
5 1 5
4 2 0
3 0 1
2 5 4
0 1 4
10 8
0 1 1
2 1 2
2 2 2
0 2 0
0 2 1
1 2 0
2 2 0
1 2 2
1 2 1
1 1 2
10 2
2 0 0
2 0 1
1 1 1
0 1 2
0 0 2
1 0 1
0 2 0
1 2 0
2 0 2
2 1 1
10 6
0 2 0
0 1 0
0 0 1
1 2 2
2 2 1
0 0 0
2 2 0
2 0 0
0 0 2
0 2 2
10 8
2 0 3
1 1 4
3 3 2
2 2 4
4 0 2
4 3 0
0 1 0
1 4 3
2 2 1
4 1 4
10 4
0 2 0
2 0 2
1 2 3
3 1 0
2 0 3
3 2 1
2 3 3
3 2 2
1 3 0
0 0 3
10 5
2 2 3
4 1 4
3 1 1
4 0 0
4 3 2
1 0 0
3 1 0
1 1 4
2 1 1
0 0 2
10 8
5 3 2
0 1 0
4 1 3
5 0 2
4 4 4
5 0 1
2 1 3
3 5 3
4 4 1
1 0 5
10 2
2 0 1
3 3 3
2 0 0
2 2 1
1 2 3
0 3 0
1 1 3
0 0 0
1 3 1
0 3 1
10 6
2 0 1
1 0 2
0 0 0
0 0 2
0 0 1
1 1 1
0 1 1
1 2 0
0 1 0
1 0 0
10 5
0 4 4
3 0 2
2 1 1
3 3 4
3 2 0
4 4 3
3 2 3
1 1 4
3 4 2
3 3 2
10 5
0 1 3
2 3 2
3 3 2
1 2 3
2 2 2
0 0 0
0 2 2
0 1 0
3 1 2
3 0 1
10 3
1 2 0
0 0 1
0 1 1
2 2 2
2 0 1
2 1 0
0 2 1
1 0 0
2 1 1
2 2 0
10 2
1 0 2
2 2 2
0 2 2
2 1 1
1 0 1
1 2 0
0 1 0
1 1 2
0 0 2
0 0 1
10 4
1 2 3
3 0 3
2 1 0
1 4 2
0 2 4
3 2 4
3 4 0
2 2 3
3 2 3
2 4 0
10 8
2 1 1
1 2 1
2 0 0
0 2 1
0 2 2
0 1 0
2 2 1
1 0 0
0 0 1
2 2 0
10 2
4 0 4
2 1 0
4 3 1
4 0 0
3 1 3
1 3 4
0 4 0
0 0 2
3 4 4
1 2 3
10 5
2 0 1
0 1 3
3 3 0
1 3 3
1 2 3
1 3 1
3 1 1
2 2 0
2 0 3
1 0 1
10 6
3 3 1
2 3 3
0 3 2
3 3 2
3 0 3
1 2 1
2 1 4
2 0 4
3 1 0
4 2 1
10 7
3 1 2
0 2 3
2 0 2
1 1 3
0 2 2
1 1 1
0 3 3
0 2 1
1 1 0
3 1 0
10 3
1 1 0
1 3 2
3 3 3
0 3 1
3 2 3
2 3 0
0 3 3
3 0 0
0 0 0
2 0 1
10 7
1 2 4
1 4 4
5 0 1
5 3 1
3 4 3
2 4 2
0 5 0
5 2 0
5 1 0
3 5 1
10 7
2 1 0
2 2 2
2 0 1
1 1 0
0 0 1
2 2 1
0 1 1
0 2 2
1 2 2
2 2 0
10 8
0 1 0
0 0 2
0 2 2
2 2 0
2 0 3
3 0 3
0 1 3
3 0 2
0 3 3
2 1 1
10 7
4 2 1
2 1 1
3 0 2
1 2 1
0 2 0
0 3 2
0 0 4
3 3 4
3 4 3
2 4 0
10 4
4 1 4
1 2 4
3 0 0
0 4 3
0 3 2
5 2 4
5 3 2
4 4 3
5 0 2
0 3 0
10 7
0 4 5
2 1 0
1 5 1
1 0 2
1 1 4
4 0 3
4 0 0
0 1 3
2 0 3
4 1 3
10 7
0 0 2
0 0 0
2 0 0
2 1 0
1 1 1
2 0 1
1 2 0
1 2 2
2 0 2
1 0 0
10 9
1 0 2
0 4 0
0 2 2
0 1 3
3 1 1
2 0 3
1 4 2
1 3 3
3 2 4
2 1 0
10 7
2 0 2
1 1 2
1 0 1
2 1 0
0 1 0
0 1 1
2 2 0
2 2 1
2 0 0
1 0 0
10 4
2 1 0
2 1 2
2 0 0
0 2 2
0 1 1
1 2 1
1 0 0
0 0 0
1 2 0
0 1 2
10 9
0 2 0
2 1 2
1 1 1
3 1 0
3 1 3
2 2 2
1 0 3
2 3 1
1 3 3
0 2 2
10 6
1 0 2
0 2 3
0 0 2
4 0 3
4 1 3
3 1 4
2 1 2
4 3 1
1 4 0
0 1 4
10 6
1 2 2
0 0 2
0 0 3
1 2 1
0 3 2
1 1 1
2 3 2
1 1 2
2 2 1
1 3 0
10 9
3 3 3
1 4 2
1 5 5
5 3 3
5 2 2
5 4 0
3 4 2
5 1 2
3 3 4
4 0 3
10 7
2 2 1
3 3 2
3 1 1
3 2 2
0 1 3
1 0 1
0 2 2
3 3 0
2 0 3
2 0 1
10 9
0 0 3
3 1 1
3 2 2
2 0 0
2 1 1
0 1 3
0 2 3
0 1 2
3 3 0
0 3 3
10 8
3 2 1
2 0 1
0 1 3
0 0 2
0 2 0
3 2 3
1 1 1
0 3 3
1 0 2
0 1 0
10 9
1 2 2
2 2 1
0 1 2
1 1 0
0 1 0
1 0 1
2 1 1
0 0 0
0 0 2
1 0 0
10 2
1 0 2
0 0 1
2 1 0
1 2 0
2 1 2
1 2 2
0 0 0
1 1 1
0 1 0
1 1 2
10 4
0 3 1
3 1 0
3 0 0
1 3 0
2 3 3
3 0 3
3 2 0
1 0 0
3 2 2
0 0 3
10 8
1 3 3
0 3 0
3 2 0
0 3 3
0 3 2
2 1 2
1 2 2
3 3 0
2 3 2
3 0 2
10 9
1 1 1
3 3 3
1 0 0
0 1 3
3 0 3
0 2 2
3 2 1
0 3 2
2 3 1
0 3 0
10 2
5 5 4
5 2 4
3 0 3
0 3 3
5 1 5
1 3 4
5 4 4
0 5 0
3 5 2
3 0 1
10 2
3 4 0
3 4 2
3 3 2
4 1 3
0 0 1
0 4 0
3 1 1
3 4 1
1 1 2
0 0 4
10 8
2 1 3
0 1 3
2 0 0
3 0 0
1 2 3
2 1 0
3 1 3
3 2 1
2 2 0
1 2 2
10 9
2 1 2
0 2 0
1 2 0
0 2 1
0 0 1
2 2 2
0 0 0
0 1 0
1 0 1
2 0 0
10 3
3 0 2
3 4 1
1 0 3
5 0 3
2 3 1
5 0 4
2 1 3
2 4 2
3 1 0
1 3 4
10 7
5 3 3
0 4 2
3 3 4
0 2 1
2 4 0
2 5 2
0 4 5
5 2 3
3 1 5
3 0 3
10 7
1 2 2
1 0 0
0 0 2
2 1 2
1 1 2
0 2 2
0 0 0
1 0 1
1 0 2
1 2 0
10 3
2 1 1
1 0 2
0 1 1
1 2 1
0 1 0
2 1 0
2 0 2
0 2 2
1 2 0
2 2 1
10 6
5 0 5
2 5 0
0 5 5
4 4 2
2 4 1
4 4 1
1 5 4
3 1 2
1 5 5
2 5 2
10 3
3 4 3
2 4 0
3 4 4
1 3 0
4 0 3
3 0 1
3 3 4
4 3 0
3 1 4
0 3 3
10 7
0 4 5
3 5 1
1 5 5
4 3 4
2 1 5
3 0 3
0 5 2
0 1 1
4 3 3
0 2 5
10 6
2 1 1
0 0 1
0 1 0
0 1 1
2 1 2
0 0 2
2 2 0
2 1 0
2 0 0
0 2 2
10 8
2 3 0
0 2 1
0 0 2
2 0 3
0 1 2
3 3 3
2 1 2
1 3 3
0 0 0
2 3 3
10 7
1 4 2
3 3 2
5 1 3
3 3 0
5 3 4
4 5 5
5 1 5
3 3 3
2 3 0
0 3 2
10 6
1 0 2
0 1 0
2 2 1
2 1 2
1 1 0
2 3 3
3 1 1
3 0 3
1 2 2
1 1 3
10 3
4 4 1
1 0 2
0 2 3
1 1 2
2 1 1
0 3 3
0 1 4
2 3 1
4 2 4
1 2 1
10 4
1 1 0
3 4 0
0 2 0
5 2 3
0 2 2
0 3 4
0 0 1
2 1 3
4 5 3
2 5 5
10 5
0 0 3
0 2 3
4 2 0
0 4 2
1 1 1
0 0 4
3 3 2
1 0 0
3 3 3
3 4 2
10 7
2 3 1
3 0 0
1 1 3
1 0 2
1 1 2
0 2 3
2 0 2
0 2 0
2 2 3
3 2 3
10 9
1 2 1
2 3 2
3 1 4
3 3 4
2 0 0
2 3 1
4 0 1
3 0 3
1 1 1
3 4 0
10 5
2 0 1
1 2 3
1 0 0
2 2 2
1 1 3
3 2 1
1 3 3
2 0 2
3 3 3
2 1 2
10 3
3 0 1
0 2 1
0 1 1
3 1 1
1 1 3
1 3 3
1 0 0
0 3 3
0 3 0
3 3 2
10 8
4 1 0
5 2 1
4 5 2
4 2 1
0 2 1
2 4 5
1 5 3
1 1 1
0 3 2
0 1 3
10 3
1 3 2
4 3 4
4 0 2
5 4 2
3 2 0
5 3 3
0 3 0
2 3 0
0 4 4
0 2 5
10 6
1 2 4
0 3 4
2 3 2
0 3 2
1 2 2
3 3 1
2 0 4
3 4 2
3 0 0
2 1 1
10 7
1 2 0
2 1 0
1 0 1
0 1 0
0 0 2
1 0 2
0 0 0
2 2 1
1 1 0
2 2 2
10 2
2 1 0
2 1 2
0 0 2
2 2 0
2 1 1
2 0 1
0 2 2
2 0 2
1 2 0
0 2 1
10 5
4 1 0
2 0 0
0 2 5
0 0 3
4 0 5
3 1 0
0 3 3
4 2 1
5 0 4
4 5 5
10 6
0 2 4
1 3 1
3 4 0
2 2 2
4 4 2
1 1 3
2 2 0
3 3 1
2 1 1
4 2 3
10 5
0 4 2
2 1 0
2 0 4
2 0 1
4 0 0
1 4 0
3 0 2
3 2 4
3 0 0
1 3 3
10 9
3 0 3
0 4 4
1 3 1
3 1 4
2 3 2
2 3 3
2 3 0
1 0 3
1 1 4
0 3 2
10 4
2 1 2
2 2 3
1 3 0
3 2 2
1 2 1
1 1 1
0 1 1
2 0 1
0 2 2
3 3 3
10 4
2 4 4
1 2 2
4 4 1
3 1 3
4 3 3
0 1 3
3 2 1
0 2 2
0 3 0
2 0 2
10 4
1 3 0
2 3 3
0 0 2
1 2 2
2 0 1
1 1 2
0 0 1
1 1 3
2 2 1
0 1 2
10 6
0 4 4
0 4 3
0 5 2
4 4 4
2 0 0
3 3 2
3 3 0
1 4 2
2 2 4
1 4 1
10 6
1 1 2
0 3 3
0 2 2
2 3 0
2 1 1
2 0 3
2 3 3
2 0 1
3 3 3
1 0 2
10 7
4 3 2
4 2 3
1 3 3
5 2 1
5 2 2
4 0 3
2 0 2
2 1 0
0 5 3
1 2 2
10 2
2 1 0
2 2 2
2 1 3
0 0 2
0 2 0
2 0 0
2 3 1
1 0 2
0 1 1
1 2 3
10 9
2 4 1
4 5 4
0 1 5
4 3 2
3 0 1
3 5 5
0 1 3
1 0 4
2 3 5
4 4 5
10 8
2 1 0
4 0 3
2 3 3
1 1 0
2 4 0
0 4 3
3 4 4
0 1 3
2 1 1
1 4 0
10 7
0 2 2
1 0 2
1 1 0
1 0 0
2 1 1
1 1 2
0 2 1
2 0 2
0 0 2
0 1 2
10 7
3 0 1
0 0 0
3 0 0
1 0 0
2 0 1
2 1 0
0 0 2
0 2 3
2 3 1
1 3 2
10 2
0 0 4
3 0 1
4 0 1
4 3 4
4 1 1
3 2 4
2 0 2
3 4 4
3 0 0
0 4 3
10 3
0 3 0
2 0 1
3 0 0
3 2 5
5 0 5
3 3 1
4 0 0
3 0 3
4 4 2
2 5 3
10 2
2 3 2
0 0 3
0 1 0
1 3 0
0 2 2
2 2 0
2 1 1
0 2 3
1 3 1
2 3 0
10 3
2 0 2
2 0 1
1 2 1
1 1 0
1 2 2
0 0 1
0 2 2
0 2 0
2 0 0
2 1 2
10 9
0 1 0
1 1 2
0 2 0
1 1 0
2 2 1
2 2 2
1 0 0
0 2 1
0 1 1
1 1 1
10 4
1 0 2
2 0 2
1 1 1
0 2 2
2 0 0
0 0 2
0 2 1
0 1 2
1 2 2
2 1 2
10 3
4 2 3
0 0 0
4 1 0
3 0 0
4 1 4
2 3 4
3 4 4
2 3 3
1 2 4
1 3 3
10 2
0 2 1
3 3 2
3 3 1
0 2 2
3 1 3
1 1 1
0 1 3
3 1 1
2 3 2
3 2 2
10 2
1 2 0
1 3 0
2 0 0
0 0 3
3 3 0
1 1 1
2 2 2
0 0 2
3 2 3
0 2 3
10 9
2 3 0
2 2 1
4 0 0
1 3 1
2 0 2
1 0 0
1 1 4
0 1 2
0 3 0
2 2 2
10 6
1 0 0
2 1 0
1 0 2
2 0 1
2 1 1
0 2 2
0 0 0
0 0 2
2 2 0
2 0 2
10 9
3 2 2
2 1 3
0 4 3
2 0 2
1 3 0
4 2 4
1 0 1
3 3 3
4 3 2
2 1 1
10 3
0 0 1
0 1 1
0 2 0
1 0 2
1 1 0
2 1 1
2 1 2
1 2 0
0 0 0
2 1 0
10 7
5 0 1
3 4 0
2 1 1
3 5 1
4 3 5
3 2 3
0 3 3
1 5 2
2 3 3
4 4 2
10 5
2 1 0
1 1 1
0 0 0
0 2 0
0 2 1
2 2 2
1 0 2
2 2 0
1 0 1
0 1 1
10 3
0 2 2
0 3 1
3 2 3
0 2 0
0 1 3
2 0 1
3 3 3
0 0 3
2 0 0
3 3 0
10 7
0 0 2
0 3 3
2 0 2
2 2 3
0 1 1
0 0 0
3 0 2
1 0 3
2 2 0
2 1 1
10 9
1 1 1
0 1 0
2 2 0
1 2 1
0 1 1
1 0 2
2 1 0
0 2 1
1 0 0
1 2 2
10 7
2 2 2
2 2 1
2 1 1
1 2 1
0 2 2
0 0 2
1 2 2
0 1 1
2 1 2
1 2 0
10 6
0 2 3
1 3 1
2 2 2
0 1 2
2 2 3
2 3 0
2 1 0
0 0 2
2 3 2
3 0 2
10 4
1 2 1
3 1 1
1 1 1
1 1 0
2 2 0
2 1 3
2 3 1
2 0 0
0 1 1
2 2 2
10 9
2 3 0
1 1 3
2 0 1
4 2 4
3 4 0
0 1 2
0 1 0
1 3 0
1 0 2
0 1 3
10 4
1 0 4
3 1 2
0 4 2
2 3 2
3 2 4
5 5 1
4 1 2
4 4 2
0 0 0
0 1 0
10 3
0 1 4
1 1 4
0 3 3
0 2 4
0 3 0
2 4 3
0 2 3
2 0 4
0 4 1
2 4 4
10 8
2 0 2
2 3 2
0 3 0
3 2 3
1 3 1
3 0 0
3 0 3
3 2 1
0 2 3
1 0 0
10 5
2 0 0
1 0 2
3 1 2
1 1 1
3 2 0
1 0 3
2 2 3
3 0 0
0 0 0
1 3 2
10 7
1 3 3
1 0 0
0 1 1
1 4 1
4 0 1
3 2 1
3 4 3
4 4 1
0 2 4
1 2 0
10 7
1 0 1
3 3 1
2 1 1
2 2 1
0 0 0
2 0 2
0 1 0
1 2 3
3 1 1
2 2 3
10 8
2 1 2
3 3 0
1 2 3
2 3 1
0 2 3
2 0 2
2 0 0
1 0 0
1 0 2
2 0 1
10 6
2 2 2
0 0 1
0 2 2
1 0 2
1 1 2
2 1 0
0 1 1
2 1 2
0 1 0
1 2 2
10 3
1 4 3
4 3 3
3 0 2
3 3 1
1 4 1
0 5 5
0 4 4
2 3 3
5 1 5
4 0 5
10 3
4 4 3
5 2 5
1 3 3
2 0 2
0 0 0
5 5 2
5 0 2
3 3 4
5 4 2
4 0 5
10 9
3 0 0
3 0 1
0 0 0
2 1 1
0 3 0
2 3 1
2 1 2
1 1 0
0 2 0
0 0 1
10 9
2 2 1
0 3 1
0 2 3
1 0 1
2 3 3
1 3 0
0 0 0
0 3 2
2 2 0
2 2 2
10 9
3 1 1
3 1 3
2 3 3
1 3 1
3 2 2
0 2 3
0 1 3
0 3 2
3 0 2
3 0 0
10 5
1 3 3
2 0 1
3 1 0
3 3 3
0 2 2
1 2 3
1 2 0
0 3 0
1 0 2
0 3 1
10 3
2 3 1
2 2 4
4 2 3
0 2 2
4 3 2
3 2 2
1 0 1
0 1 3
1 0 3
3 3 3
10 5
3 3 3
2 2 1
3 3 2
2 0 1
1 3 1
0 3 0
1 3 2
3 2 3
0 1 2
2 1 3
10 5
2 1 2
0 2 2
3 4 1
3 0 1
0 3 1
1 0 2
4 4 3
0 0 3
0 1 0
3 2 3
10 8
0 0 2
1 3 1
1 0 0
3 0 2
0 1 2
3 3 0
0 3 3
3 2 1
0 2 0
2 0 3
10 5
1 0 2
2 2 0
0 1 1
2 2 1
0 1 2
1 2 1
2 0 0
2 1 2
0 0 1
0 2 0
10 9
2 0 0
0 1 0
0 2 0
0 2 1
1 2 1
1 0 0
2 1 1
0 0 0
0 1 1
2 0 1
10 3
4 1 2
2 5 5
1 2 2
2 5 2
1 5 0
5 3 5
0 3 4
0 0 3
1 1 4
3 0 4
10 5
4 2 1
1 3 4
2 4 2
0 4 3
1 3 1
2 3 3
1 4 1
4 1 2
1 1 0
0 3 3
10 2
0 2 0
4 4 3
0 3 4
0 3 0
3 1 3
0 3 1
2 4 4
4 1 4
3 0 4
2 2 4
10 9
0 3 4
0 2 0
0 3 1
2 4 3
0 2 2
3 1 2
4 0 4
3 1 4
0 4 3
2 3 1
10 7
3 0 2
2 3 0
0 1 1
0 0 3
0 2 1
2 2 0
1 1 3
3 3 3
0 2 2
1 0 0
10 7
0 0 1
2 2 0
0 2 0
1 2 2
1 1 0
0 2 1
1 0 0
2 0 0
2 2 2
0 0 0
10 6
2 2 2
1 1 2
3 2 3
3 3 2
0 2 2
3 1 0
2 3 0
1 2 1
2 0 0
3 1 2
10 4
1 0 2
0 3 0
3 2 3
3 2 1
1 2 3
2 2 3
2 1 2
3 0 2
1 1 0
3 0 3
10 3
2 0 1
0 0 3
3 4 4
1 3 1
0 1 2
2 2 1
0 1 1
0 2 3
2 2 3
1 1 2
10 9
3 3 2
4 0 4
1 5 4
4 5 5
2 0 4
4 2 4
4 2 2
4 2 5
4 1 0
5 5 0
10 2
0 0 1
1 1 0
2 0 1
1 2 2
0 1 1
0 2 0
1 0 1
2 2 1
0 0 2
2 1 2
10 3
0 4 3
0 3 1
5 4 4
4 4 5
1 5 2
1 3 1
1 0 5
0 3 4
4 4 2
5 4 2
10 3
5 3 2
2 3 4
5 0 4
0 4 4
1 5 2
3 3 5
3 4 2
0 5 1
5 3 3
4 3 3
10 3
1 0 0
2 1 3
0 3 0
1 2 0
2 2 0
3 0 2
0 0 1
0 1 2
1 1 2
2 1 2
10 3
3 2 1
2 0 2
2 1 0
3 2 2
0 2 3
3 3 3
1 1 2
0 2 0
3 0 1
1 3 0
10 6
0 0 1
2 1 2
0 2 0
2 0 0
1 2 0
0 1 1
2 1 0
1 1 1
0 1 2
1 2 2
10 4
0 4 2
2 1 0
2 2 4
4 1 2
1 1 2
4 2 0
3 0 4
4 2 3
2 1 1
3 1 2
10 8
4 2 3
2 1 3
2 2 1
2 4 3
4 3 1
0 0 1
1 4 3
2 0 4
4 0 3
4 2 2
10 6
4 4 2
4 1 1
3 0 0
3 4 3
1 1 1
3 2 4
3 0 3
1 1 4
0 3 4
0 4 0
10 6
3 2 0
4 4 2
3 3 3
1 1 4
1 2 2
0 3 1
3 1 0
2 0 0
2 1 0
2 2 1
10 2
2 1 0
0 2 2
1 0 0
2 0 0
2 2 0
0 2 1
2 0 2
1 2 0
1 2 2
0 1 1
10 2
0 1 0
1 0 1
0 2 1
2 0 0
1 2 2
0 2 2
1 2 0
2 0 1
1 1 2
2 1 2
10 5
3 0 2
0 3 1
2 1 2
0 1 1
2 5 3
2 0 1
3 5 4
2 1 5
0 1 5
3 3 5
10 4
1 2 0
2 0 2
2 2 1
1 1 1
2 1 1
2 0 0
0 1 0
1 0 1
0 1 2
1 2 1
10 3
1 0 1
3 0 2
0 3 3
2 0 1
3 1 1
2 2 1
3 0 3
1 1 2
0 1 3
1 1 1
10 3
4 4 2
0 1 2
2 0 4
5 0 4
5 0 0
3 4 0
2 5 0
4 1 1
4 0 5
1 4 3
10 9
2 1 2
1 2 1
3 0 0
3 0 1
2 2 3
0 2 3
2 1 3
0 1 1
2 0 1
1 1 3
10 5
2 0 2
0 1 1
0 1 0
0 0 1
2 2 0
0 1 2
2 1 1
1 1 1
0 2 0
2 2 1
10 6
0 1 4
0 0 0
2 3 4
3 3 2
0 0 3
3 4 0
3 3 0
4 3 1
1 3 3
4 2 2
10 8
1 0 0
4 4 4
0 2 3
4 3 3
5 5 4
4 0 3
5 3 1
5 4 0
2 5 0
5 1 5
10 9
2 1 1
1 0 0
3 2 3
1 2 2
2 1 3
2 2 0
1 3 3
1 1 1
3 1 3
3 1 1
10 4
2 2 0
3 0 3
1 3 1
3 2 3
0 3 0
2 1 2
3 0 2
1 1 2
2 2 2
1 2 3
10 8
0 0 1
0 1 1
0 3 1
3 2 0
3 2 3
3 0 2
1 3 0
1 1 1
3 0 1
0 1 0
10 4
2 5 4
0 3 2
2 2 4
3 0 5
5 3 1
1 3 2
1 5 1
4 5 3
5 2 3
0 4 4
10 6
1 4 2
1 2 0
0 1 1
4 1 3
2 4 0
1 0 1
0 2 2
2 1 2
3 4 0
2 4 4
10 4
2 2 1
2 1 0
1 2 0
0 1 2
1 1 1
1 0 1
2 0 2
2 0 1
1 1 0
2 1 2
10 8
2 4 4
0 2 4
0 5 3
4 0 0
3 5 1
2 2 2
4 2 4
2 1 5
4 5 0
5 1 1
10 3
1 1 1
4 0 2
2 2 5
4 2 1
1 3 0
1 0 2
5 1 1
2 1 0
2 1 1
3 0 3
10 7
2 0 3
2 2 3
1 2 0
0 0 2
2 2 1
0 1 0
0 1 3
3 3 2
2 1 1
1 3 1
10 7
2 1 0
1 2 1
1 0 0
1 0 1
0 1 0
2 0 1
2 1 1
0 0 2
0 1 1
1 1 2
10 2
1 0 1
0 0 2
1 2 0
1 1 2
0 2 1
0 1 1
2 0 2
0 2 2
0 1 0
1 2 2
10 5
0 2 2
0 1 2
1 0 2
2 1 2
2 1 1
2 0 0
2 2 1
1 2 2
0 0 1
1 1 1
10 9
3 3 3
3 3 0
2 1 1
2 2 0
2 0 0
3 3 1
0 1 2
0 2 2
2 1 2
0 2 3
10 9
3 3 3
4 1 1
3 1 0
3 2 2
0 0 1
0 4 3
0 3 3
2 0 0
4 0 1
3 2 4
10 7
0 2 0
1 2 2
1 0 0
0 1 2
2 2 2
1 1 0
0 0 0
0 0 2
1 1 2
1 0 1
10 8
2 3 3
1 0 3
2 0 0
4 1 3
1 4 0
4 2 0
3 0 0
0 1 3
0 2 3
4 4 2
10 4
1 1 0
2 3 2
1 3 3
0 1 3
1 2 1
1 0 1
3 3 1
0 0 1
0 3 0
0 1 0
10 9
0 0 3
4 1 4
4 1 1
3 2 0
1 4 0
2 0 2
1 4 1
5 5 4
3 4 0
3 1 4
10 6
0 1 2
2 4 4
3 4 1
1 1 3
4 0 4
2 2 1
2 3 1
2 1 4
1 3 0
0 0 2
10 2
2 3 1
1 4 3
4 3 1
3 2 0
4 2 3
3 3 2
3 2 2
4 4 1
1 2 2
4 3 3
10 9
2 3 4
5 3 2
4 4 3
5 4 0
1 5 4
4 4 5
5 5 4
4 1 3
1 2 3
5 0 0
10 5
1 0 1
2 0 1
1 2 2
2 1 1
1 2 1
1 1 1
0 1 0
1 0 0
0 2 1
0 2 0
10 7
2 4 1
3 5 1
3 0 3
4 3 4
3 2 5
4 2 1
2 4 0
1 4 2
0 1 4
2 0 5
10 9
2 2 2
1 2 0
2 1 2
0 0 2
2 1 1
1 1 2
0 0 1
2 2 0
0 2 1
2 1 0
10 9
1 1 2
0 1 2
2 1 0
2 0 2
2 2 2
1 1 1
0 1 0
1 2 0
2 2 0
0 0 1
10 4
2 1 2
0 1 5
1 3 4
1 3 1
2 3 0
4 5 2
1 5 0
2 5 2
1 4 0
4 5 0
10 4
0 3 2
2 2 1
0 0 2
1 2 3
3 2 2
3 1 1
3 2 1
1 1 3
3 1 2
1 3 0
10 3
1 2 1
2 2 0
0 1 1
0 1 0
1 1 2
0 0 1
2 1 0
1 2 2
0 0 0
2 0 2
10 2
3 2 1
0 1 0
0 2 4
2 0 2
4 1 0
3 2 0
4 0 3
0 2 0
4 1 3
4 0 2
10 9
4 2 1
1 4 3
1 2 3
3 3 3
0 0 2
2 0 1
3 3 4
1 1 4
0 4 4
2 1 3
10 2
1 2 2
2 2 1
3 1 3
1 0 0
1 3 0
3 0 0
3 3 1
0 2 2
0 1 0
0 0 0
10 7
2 2 1
2 0 2
3 3 0
2 0 3
2 0 0
3 1 1
1 0 0
1 2 2
1 3 0
2 1 3
10 9
0 1 0
2 2 0
2 1 1
1 1 1
2 1 0
1 0 1
2 2 2
2 0 0
0 0 1
1 0 2
10 3
1 0 1
0 0 3
0 3 3
2 1 2
1 2 0
3 3 2
3 0 3
0 1 1
0 1 3
2 0 3
10 7
2 2 2
0 1 1
3 2 3
3 0 3
3 1 2
0 3 1
3 2 2
2 3 1
3 2 0
2 3 0
10 5
0 2 2
3 2 1
2 2 2
2 1 3
1 2 2
3 0 0
4 1 1
1 0 2
2 4 3
3 1 3
10 9
0 3 2
1 3 1
2 2 3
2 1 1
3 2 3
1 1 3
3 0 2
1 2 3
1 3 2
1 1 1
10 8
2 3 3
0 1 3
0 2 3
2 0 0
1 2 3
1 1 3
2 1 2
2 1 1
0 3 0
3 0 3
10 3
3 2 1
2 0 3
0 3 3
4 2 2
2 3 3
2 2 3
1 4 4
1 3 1
3 2 4
0 4 3
10 3
2 0 3
3 2 0
2 3 1
2 1 2
0 0 3
0 0 2
1 3 1
2 2 0
3 1 1
1 0 0
10 6
0 4 1
1 0 3
2 0 4
4 1 3
3 1 2
0 4 4
2 3 3
3 3 2
4 0 2
3 4 2
10 9
5 5 0
5 5 3
5 3 4
0 1 1
3 0 1
5 2 2
3 4 4
0 1 2
0 0 4
5 2 0
10 3
4 5 1
0 5 2
3 4 3
2 3 5
1 4 3
2 0 3
2 1 4
3 0 1
1 3 3
4 1 3
10 2
0 3 0
2 2 1
2 1 1
1 1 1
3 1 2
0 1 2
0 2 1
1 1 0
3 3 1
3 0 3
10 2
3 4 1
4 1 2
1 1 0
1 2 1
4 1 0
1 4 2
1 2 0
4 4 3
4 4 2
0 4 0
10 5
2 0 0
1 3 1
1 0 3
1 1 0
0 1 2
0 2 3
3 3 2
0 2 2
0 1 3
1 1 1
10 7
1 1 4
1 3 0
3 4 4
3 1 1
0 1 2
0 3 0
0 1 1
3 3 3
0 4 1
2 0 1
10 3
1 1 2
0 2 1
1 0 2
2 1 2
1 2 0
0 2 0
0 1 1
2 2 1
1 2 2
0 0 1
10 7
0 0 0
2 4 3
1 4 4
1 1 4
3 1 2
2 0 4
2 2 0
2 3 4
4 0 3
1 0 3
10 4
2 1 4
2 0 4
4 1 4
2 1 1
2 2 4
1 3 1
3 2 4
0 4 2
0 0 1
1 4 0
10 4
0 1 3
2 0 0
3 0 2
2 1 1
2 1 3
1 2 0
1 0 3
0 2 0
0 3 0
3 3 3
10 9
0 3 1
1 4 2
1 1 0
2 2 2
2 4 0
3 0 2
3 1 3
4 0 4
3 1 1
1 2 3
10 8
2 0 1
2 2 2
2 1 1
1 2 0
2 0 2
1 0 1
2 2 0
0 0 1
1 0 0
0 0 0
10 2
2 5 0
3 1 1
4 2 0
0 4 4
1 5 4
0 2 2
5 1 4
0 2 0
3 3 0
4 0 3
10 4
1 1 0
4 3 4
0 0 0
0 3 5
4 0 2
5 3 4
1 5 4
0 5 2
2 1 4
3 5 1
10 8
3 3 1
4 2 2
3 3 3
0 4 1
4 3 0
2 2 0
0 3 1
4 3 1
1 2 1
3 2 0
10 9
0 2 2
1 0 1
2 2 2
2 1 1
2 2 0
1 1 0
2 1 2
2 0 1
1 1 2
0 0 1
10 8
1 1 0
1 0 0
1 2 1
2 1 2
0 2 1
1 1 1
0 2 2
0 2 0
2 2 2
1 0 2
10 3
2 3 0
3 4 1
1 0 5
5 5 0
2 2 4
3 5 4
5 4 4
3 0 5
0 4 5
0 0 4
10 9
1 1 2
0 0 0
2 2 1
2 0 2
0 3 3
3 0 0
0 3 2
3 3 3
3 0 1
0 1 1
10 9
5 0 4
0 4 2
5 5 3
2 5 4
1 3 4
4 4 1
0 3 5
1 2 0
3 5 0
2 1 1
10 5
0 2 3
2 1 2
1 2 2
2 3 4
3 4 4
2 2 2
0 1 3
3 4 1
3 2 2
1 1 2
10 9
4 3 1
3 4 4
3 2 0
1 5 2
1 5 1
2 3 3
0 1 5
5 2 5
2 2 5
4 0 1
10 8
1 2 0
0 2 0
1 1 1
1 0 1
1 2 1
0 0 0
1 0 0
2 2 0
1 0 2
2 2 1
10 6
1 2 4
1 0 4
2 3 0
4 2 2
0 2 4
2 0 3
4 0 0
1 1 1
1 2 0
4 1 0
10 8
3 3 1
3 3 2
3 4 2
4 2 1
1 4 3
0 0 0
1 2 2
1 0 2
1 0 4
4 1 0
10 7
0 2 2
2 2 1
2 1 2
0 2 0
1 1 2
0 0 1
1 2 0
1 0 1
2 1 1
1 1 0
10 9
3 3 2
3 0 1
1 3 1
2 3 3
1 2 2
1 0 3
0 1 0
1 1 3
1 1 0
1 1 1
10 8
2 2 0
3 3 4
1 3 1
4 0 3
0 4 1
1 0 3
5 5 2
4 4 0
5 4 1
3 3 0
10 5
3 5 1
5 1 4
1 1 0
0 0 2
2 0 1
1 3 1
4 2 2
3 0 1
0 2 5
4 2 3
10 7
2 1 3
1 3 4
2 3 2
1 0 4
1 0 1
4 0 1
2 0 0
2 4 4
2 4 3
1 4 4
10 4
5 1 2
1 0 4
2 3 5
0 4 0
0 2 2
1 0 1
1 3 1
2 4 3
3 2 1
3 2 3
10 6
4 0 5
5 2 3
3 2 4
1 2 3
3 3 5
3 5 4
5 3 3
2 5 4
1 1 4
2 2 2
10 8
2 2 3
2 0 0
3 2 1
1 1 0
0 3 2
3 1 3
1 2 0
0 0 2
1 3 0
3 0 0
10 3
1 4 3
5 2 2
2 4 5
4 1 0
1 5 2
1 5 4
4 3 1
1 4 1
5 3 3
5 3 4
10 5
1 3 0
3 2 3
1 2 0
0 1 3
2 3 2
3 0 3
2 2 1
1 3 1
2 2 2
2 1 0
10 9
2 2 0
1 2 2
1 0 0
2 0 1
1 3 0
3 0 2
3 1 3
0 3 1
3 3 2
0 1 1
10 9
4 4 0
3 2 0
3 3 4
0 0 0
3 2 2
1 0 1
1 0 2
4 4 1
1 0 0
1 1 4
10 5
2 1 0
0 0 2
0 0 1
2 2 1
0 2 2
0 2 1
2 1 2
2 2 2
0 1 2
0 1 0
10 7
2 1 3
1 3 0
1 4 2
0 4 1
4 4 3
2 4 4
2 3 0
2 3 3
4 1 0
3 1 2
10 4
5 1 4
1 1 5
1 4 3
4 2 0
2 4 3
4 4 4
2 1 1
1 1 0
1 4 4
3 3 4
10 3
1 0 2
0 2 1
3 2 2
0 3 3
2 0 2
3 2 0
0 1 0
3 1 1
3 3 2
0 2 0
10 7
4 2 4
2 0 1
1 2 3
0 1 2
0 4 1
3 2 0
0 1 0
0 2 4
1 1 4
2 0 0
10 3
3 1 4
1 4 3
2 4 5
0 5 3
2 2 1
5 0 5
5 5 5
1 2 1
4 1 3
1 3 2
10 3
0 2 2
3 0 2
3 2 0
0 0 0
4 2 1
0 2 4
3 1 4
4 4 2
3 3 0
2 1 4
10 6
5 1 3
1 1 0
3 5 0
4 3 1
2 5 2
4 1 1
4 2 2
1 0 1
5 3 3
2 0 2
10 8
2 4 5
0 4 2
5 5 3
2 0 5
0 4 0
3 4 2
3 0 3
4 2 4
5 3 1
2 3 2
10 6
2 1 4
4 4 1
3 5 4
0 2 5
3 4 1
1 5 1
2 3 1
4 5 0
0 1 0
2 0 4
10 8
1 3 1
5 1 1
0 1 4
1 3 4
2 4 0
0 3 3
2 3 3
3 2 4
5 0 1
2 5 3
10 3
1 2 1
1 0 1
2 0 0
0 0 2
1 0 2
1 1 0
0 1 1
0 2 2
1 2 2
1 1 2
10 7
0 0 1
0 2 1
0 1 1
2 0 2
2 1 0
2 1 1
1 1 1
2 1 2
1 0 0
1 0 1
10 4
1 4 4
2 2 4
1 4 2
3 0 1
1 1 3
2 0 4
0 0 0
1 3 2
4 3 0
0 1 1
10 8
1 3 3
1 3 2
2 3 2
2 3 1
3 0 2
3 0 1
1 0 0
2 1 1
0 1 2
0 2 0
10 3
1 1 2
0 1 1
0 1 0
1 1 0
1 2 1
0 0 0
1 2 0
2 2 0
1 0 2
0 0 1
10 9
2 0 1
0 2 1
2 1 2
2 2 2
1 1 1
1 2 2
1 0 1
2 1 1
1 2 0
2 2 1
10 4
0 1 1
1 3 1
0 3 1
1 2 1
1 1 2
3 1 0
1 3 2
2 1 1
0 2 3
0 2 0
10 6
1 2 0
2 2 1
0 3 1
2 3 1
2 3 2
3 3 1
1 1 3
3 0 1
3 3 0
1 1 2
10 8
0 5 3
5 3 4
3 0 4
4 4 0
4 1 5
3 4 3
2 1 1
1 0 3
2 4 1
2 4 5
10 7
0 2 1
2 2 1
2 0 0
2 2 2
2 0 2
0 1 0
0 2 2
2 0 1
0 0 1
0 0 0
10 7
2 2 1
0 1 1
0 1 2
1 2 0
1 2 1
1 0 1
2 2 0
0 1 0
0 2 1
1 0 2
10 2
0 3 0
1 3 2
2 1 2
3 0 2
3 3 3
3 1 0
2 0 3
3 3 2
2 2 2
2 2 3
10 4
3 1 4
3 0 2
4 4 4
2 2 2
1 4 4
0 2 2
1 3 0
3 4 2
4 4 2
4 0 4
10 6
0 0 1
3 0 2
1 0 1
2 3 0
3 2 0
2 3 2
2 1 2
1 3 2
0 3 0
3 3 1
10 8
0 4 0
4 0 3
3 3 1
3 4 0
1 0 0
1 2 1
4 0 2
1 0 4
0 2 2
0 3 3
10 2
4 1 4
3 4 0
1 2 1
2 1 4
2 0 3
1 1 3
4 0 3
0 0 1
1 4 1
2 0 1
10 2
4 4 2
4 2 0
0 2 4
4 3 3
2 4 2
0 0 1
2 4 4
1 3 2
2 1 0
1 1 3
10 2
3 1 1
1 2 4
0 3 2
2 4 4
4 0 0
2 2 2
3 0 1
2 3 2
0 1 1
1 1 1
10 2
0 1 0
1 5 1
5 1 4
0 3 4
1 4 2
3 0 1
4 1 1
4 4 0
2 5 5
3 1 5
10 3
0 2 2
1 2 1
2 0 2
0 0 3
2 3 2
1 2 0
1 3 0
0 3 0
1 1 0
2 2 4
10 9
0 1 1
0 0 0
2 2 1
2 2 2
1 0 0
0 2 1
2 1 0
1 2 0
2 2 0
0 2 0
10 3
0 0 1
1 2 0
2 0 1
2 1 2
2 2 0
1 2 2
0 0 2
2 1 1
0 2 0
2 1 0
10 9
2 4 4
4 2 3
0 3 2
4 2 0
2 4 0
0 3 1
0 0 2
2 1 4
2 2 3
0 4 3
10 3
1 0 1
1 2 1
0 4 3
0 1 3
2 3 3
3 0 1
3 1 2
0 2 1
0 0 3
2 3 0
10 3
3 0 3
1 0 4
1 2 4
3 2 2
0 2 0
3 0 2
2 3 0
2 1 2
4 2 1
3 0 0
10 8
1 4 1
2 3 0
2 2 1
3 1 2
1 3 3
1 2 3
4 0 1
0 1 3
3 4 0
4 1 1
10 3
0 2 1
2 2 3
1 1 0
3 1 3
3 2 3
2 0 2
1 2 2
1 2 0
0 0 3
1 3 2
10 5
4 0 0
2 2 0
4 4 4
1 0 0
0 4 0
1 4 4
4 3 1
3 3 3
2 3 2
0 0 3
10 3
0 4 1
0 2 4
0 3 0
2 0 3
4 3 4
2 0 1
2 3 0
3 0 2
2 4 0
2 3 2
10 5
2 4 1
0 0 0
0 2 0
0 3 1
0 3 0
2 0 3
1 4 3
3 0 3
2 3 2
2 2 3
10 9
1 2 2
2 1 0
0 2 0
1 1 1
0 1 0
1 1 2
0 1 2
0 1 1
1 0 1
2 1 2
10 8
3 4 0
0 4 1
0 5 2
2 0 4
1 3 5
0 4 5
0 4 3
3 4 2
0 2 4
0 3 0
10 7
3 3 2
2 2 3
0 2 0
3 3 1
2 1 3
2 2 0
0 2 3
3 0 2
1 0 0
0 0 1
10 9
2 5 5
3 0 0
2 2 5
0 4 3
3 2 5
3 0 2
0 1 0
1 3 0
1 1 0
0 0 3
10 3
3 2 0
4 4 3
2 1 4
4 2 1
2 0 3
0 0 0
1 4 1
3 4 2
2 0 1
4 3 4
10 9
3 0 3
2 1 1
3 1 0
1 3 1
2 2 2
0 1 1
2 3 2
1 0 0
0 3 3
0 0 1
10 8
2 1 1
1 1 2
1 0 0
0 1 0
1 2 0
0 0 0
1 0 2
1 1 0
1 2 1
0 2 1
10 9
0 4 0
2 2 0
3 2 0
2 1 0
2 0 1
0 0 1
3 1 3
0 3 2
1 3 3
4 4 1
10 5
5 2 2
0 0 4
0 4 2
5 1 3
2 2 5
1 3 1
5 0 2
1 0 4
3 5 2
4 0 1
10 6
5 1 1
0 4 2
3 5 5
0 0 3
1 2 2
0 1 2
3 2 1
2 5 5
4 5 4
4 0 5
10 5
3 1 1
2 1 3
2 1 0
1 1 0
2 1 1
1 0 2
2 2 2
2 1 2
2 0 0
2 0 2
10 6
3 3 3
2 0 0
2 0 4
0 4 2
0 2 3
0 1 3
1 3 1
4 3 4
4 4 0
2 0 3
10 4
1 2 4
1 3 2
4 3 0
4 3 2
1 0 0
2 2 1
0 4 3
3 4 4
4 1 4
2 3 1
10 5
1 0 2
3 0 0
3 2 1
2 2 1
3 1 3
2 1 0
1 2 2
3 3 3
2 0 3
3 0 3
10 5
2 5 0
0 3 2
5 2 5
0 3 3
5 2 3
4 3 3
1 0 4
1 4 2
1 3 0
2 2 3
10 5
2 4 2
4 1 0
1 1 1
4 3 3
4 2 2
0 0 4
1 2 0
2 0 2
1 0 4
3 3 1
10 7
1 0 0
1 1 4
4 0 0
1 2 4
1 3 4
2 2 2
0 2 2
3 2 4
3 0 2
4 2 3
10 6
2 4 1
4 3 4
0 0 5
0 2 5
0 2 0
3 4 1
0 2 2
4 5 4
5 1 1
3 4 2
10 9
2 1 4
0 0 3
0 3 0
3 3 3
2 2 3
3 4 4
1 0 0
3 3 2
3 4 3
2 2 4
10 5
3 4 5
4 3 1
0 1 3
1 5 2
0 4 3
1 2 4
2 3 5
3 0 5
4 4 1
4 4 2
10 3
3 1 0
1 3 2
1 2 3
5 0 0
5 4 2
3 3 5
1 4 3
3 0 2
4 3 1
0 5 0
10 6
2 0 2
0 0 2
1 2 0
1 1 0
0 2 1
0 2 2
1 2 1
2 2 0
1 0 2
1 2 2
10 8
4 3 2
4 1 4
2 4 1
4 0 1
5 5 5
3 0 4
1 0 5
0 5 2
5 3 5
5 4 4
10 7
2 2 0
3 3 1
3 1 3
0 1 2
0 2 1
2 3 1
1 3 2
3 1 0
2 3 0
3 2 2
10 6
1 2 0
2 1 2
1 1 1
1 0 3
3 3 2
1 2 1
2 3 1
0 2 2
0 3 1
3 0 0
10 7
0 1 2
1 0 2
1 0 0
2 1 2
2 1 0
0 0 0
2 2 1
2 0 0
1 1 2
1 2 2
10 5
1 0 3
3 3 1
0 0 2
2 1 1
3 3 0
2 2 1
2 0 3
2 2 3
2 3 1
3 1 1
10 6
4 2 1
1 1 5
4 1 3
0 1 0
3 3 2
5 0 0
1 0 3
1 0 0
2 4 1
5 2 5
10 9
2 4 1
2 0 2
1 2 0
4 2 4
2 2 3
4 0 1
1 0 3
1 3 1
0 2 4
3 0 1
10 6
3 3 3
4 3 0
1 2 0
2 2 0
1 3 0
0 1 3
2 4 1
4 2 2
0 4 2
0 3 4
10 2
2 0 1
1 1 1
2 0 0
1 0 1
0 0 2
0 2 2
1 0 0
0 1 0
2 2 0
2 1 2
10 4
1 1 3
1 0 4
2 0 0
0 2 0
3 0 5
2 4 3
5 0 5
1 4 3
3 3 5
0 0 1
10 7
3 4 1
0 2 2
4 3 1
3 0 2
1 1 1
4 0 1
3 1 3
4 1 0
2 1 2
2 4 4
10 3
5 1 4
4 1 1
0 2 4
2 5 1
1 1 3
5 3 0
2 4 5
2 0 5
3 0 1
0 3 5
10 7
0 4 2
0 2 1
1 4 0
4 3 3
1 4 1
2 0 4
3 2 1
2 1 2
0 0 3
4 3 2
10 8
0 0 2
1 0 1
2 2 0
0 2 0
1 2 1
0 1 1
1 1 1
2 1 2
0 0 1
1 1 0
10 5
1 0 1
1 2 4
4 2 3
0 0 2
0 3 4
2 1 3
3 2 1
4 2 0
3 0 1
1 4 3
10 7
3 1 0
2 0 0
2 2 3
0 3 2
1 0 0
3 3 1
2 0 3
0 3 0
0 1 0
3 3 0
10 8
4 1 1
3 0 0
0 4 0
4 3 3
4 4 0
1 3 3
2 0 0
2 2 3
3 4 2
3 3 4
10 5
3 3 2
2 2 0
0 1 1
0 1 2
3 2 1
1 3 3
0 0 0
2 3 0
2 3 3
3 3 1
10 2
2 2 0
1 2 2
0 2 2
2 2 1
2 1 2
2 2 2
2 1 1
0 1 0
1 0 0
2 0 1
10 6
5 4 5
3 2 2
0 1 4
1 2 0
1 1 5
4 1 4
1 1 3
5 3 4
4 0 2
3 0 1
10 2
2 2 3
1 0 0
3 3 3
2 3 0
3 0 0
2 2 2
2 0 2
2 0 1
2 2 0
1 0 2
10 3
3 3 1
1 2 3
1 0 3
2 0 0
0 2 1
2 1 3
0 1 2
0 2 3
0 0 1
1 1 0
10 9
1 0 0
4 0 1
3 1 3
1 1 4
3 0 1
3 4 1
4 3 3
4 4 4
0 4 2
0 2 1
10 5
1 0 0
2 0 0
0 0 2
0 2 2
0 0 0
0 0 1
2 2 2
1 2 1
0 2 0
1 1 2
10 7
2 3 3
2 2 2
3 2 0
3 1 3
3 0 1
2 3 1
2 2 1
0 1 2
3 2 2
0 3 0
10 2
2 1 2
0 2 0
0 0 2
0 2 2
2 0 0
1 0 2
1 0 1
1 1 1
1 0 0
2 2 2
10 6
2 1 0
1 2 0
1 0 1
1 0 2
1 1 1
1 1 2
2 2 0
0 1 1
0 2 1
2 2 2
10 6
2 1 0
2 0 1
0 0 0
2 2 1
2 2 0
1 0 2
1 0 1
1 1 1
0 1 2
0 1 1
10 3
0 3 0
3 0 1
3 2 0
2 2 1
0 1 1
0 2 2
3 0 2
2 0 3
0 3 1
1 2 3
10 2
0 2 2
1 2 3
0 0 3
3 0 0
3 0 2
2 2 0
1 0 2
3 3 2
3 0 3
3 1 0
10 3
0 1 0
1 1 0
1 3 2
4 2 3
3 2 4
2 1 2
2 2 4
2 4 4
3 2 1
4 0 0
10 9
1 2 0
0 1 0
0 0 1
1 1 0
0 2 2
2 1 2
2 0 2
1 1 2
2 2 2
0 1 1
10 5
2 2 2
1 0 2
1 1 0
1 0 1
1 2 0
0 0 1
1 2 1
1 1 1
1 1 2
0 0 0
10 7
5 3 2
0 1 0
2 3 0
0 0 2
0 2 0
0 2 3
3 5 0
1 4 0
3 5 5
4 1 2
10 4
0 0 3
2 1 2
2 3 0
1 1 1
0 2 1
2 3 3
1 0 3
2 2 1
1 3 3
2 1 3
10 9
0 2 2
1 2 0
2 0 2
1 0 2
1 1 2
1 1 1
0 2 0
2 2 1
0 1 2
0 1 1
10 3
1 2 0
0 2 4
0 1 1
0 3 3
3 1 2
2 1 3
4 0 1
2 2 0
2 2 3
1 0 4
10 6
5 4 3
3 1 5
2 0 0
2 1 4
4 3 3
4 4 4
0 2 1
3 0 3
0 3 1
2 1 3
10 8
1 0 1
3 3 1
2 0 0
3 2 0
2 2 3
0 1 3
3 2 2
0 3 2
1 1 2
1 3 3
10 7
2 2 4
2 4 1
2 3 0
4 3 0
0 1 3
4 4 1
0 2 0
1 1 0
1 4 4
3 1 0
10 8
2 3 4
4 4 4
0 4 3
3 2 1
1 4 3
3 1 1
0 2 2
0 1 4
2 0 4
4 4 1
10 3
0 1 1
3 2 2
3 3 1
1 1 0
3 3 3
2 3 1
0 2 2
3 1 1
1 0 0
0 1 3
10 8
1 3 3
3 1 0
0 1 3
2 2 0
0 1 2
3 3 3
1 3 2
2 0 1
1 3 0
0 1 1
10 4
2 1 0
0 3 1
3 2 2
2 3 3
1 3 2
2 0 1
2 2 0
1 1 3
3 1 3
3 3 0
10 5
3 3 2
0 1 2
1 0 2
4 2 1
2 1 2
1 1 4
2 4 4
0 4 2
0 2 0
4 0 4
10 3
0 2 2
2 3 0
2 1 4
4 4 4
0 3 3
1 3 1
2 4 4
4 1 4
0 2 0
0 3 2
10 2
1 1 2
0 3 1
0 0 3
1 0 0
2 3 3
3 3 1
2 2 2
0 2 1
0 2 3
1 2 2
10 5
2 0 0
0 1 2
0 2 0
0 2 2
0 0 0
1 2 2
1 0 1
0 2 1
1 0 0
2 0 2
10 7
3 3 3
1 2 0
3 4 1
3 3 2
1 1 0
0 1 3
0 3 2
2 4 4
2 2 4
2 1 4
10 3
2 0 1
0 3 2
3 2 3
1 0 4
0 2 3
2 4 1
3 3 0
2 3 0
4 1 0
0 4 0
10 4
5 5 1
0 1 1
0 2 4
5 1 3
5 1 4
5 1 1
0 3 3
1 4 5
3 5 2
5 1 0
10 9
5 4 1
3 1 4
4 3 0
0 4 5
2 5 5
5 0 5
1 2 3
4 1 2
2 0 2
0 4 1
10 6
3 2 1
1 2 1
3 1 3
0 2 0
3 4 3
2 4 2
2 3 1
2 4 0
2 2 1
4 2 4
10 2
0 2 3
4 0 4
4 3 2
5 3 4
1 4 4
5 5 4
4 0 2
0 2 0
0 4 0
1 5 5
10 7
1 1 0
1 2 0
0 2 2
0 0 0
2 1 1
1 0 0
2 2 2
2 1 2
2 2 1
1 1 2
10 6
2 2 4
3 1 3
2 1 3
4 0 0
0 3 1
3 1 2
3 3 0
3 1 4
4 3 2
0 4 3
10 4
2 1 2
0 2 0
3 2 0
2 1 3
2 0 2
1 3 1
0 0 0
1 3 2
1 1 3
0 1 2
10 3
2 2 0
5 4 2
2 0 5
0 0 0
4 5 4
2 2 1
0 4 3
5 3 0
3 2 3
1 0 0
10 8
2 2 5
5 4 5
0 5 2
3 4 0
2 2 0
1 4 4
5 4 2
0 1 5
1 1 4
3 1 2
10 4
4 1 0
4 2 3
5 2 2
1 4 5
1 1 4
5 3 2
5 4 5
5 0 0
3 0 1
0 1 5
10 2
1 1 2
1 0 0
0 1 2
1 0 2
1 0 1
2 2 2
0 1 1
2 0 2
1 2 1
1 2 0
10 4
5 2 5
2 4 3
4 5 2
3 2 4
4 3 2
1 4 1
2 0 4
3 4 4
5 0 3
5 5 1
10 7
2 3 2
3 3 2
0 1 3
0 1 0
2 0 1
3 2 3
3 1 0
0 1 2
0 2 0
3 1 3
10 7
2 2 2
2 1 0
0 2 1
1 0 1
1 1 2
2 0 2
0 1 1
1 0 0
2 2 1
1 2 2
10 9
0 1 0
1 1 2
1 1 0
1 1 1
2 1 0
2 0 2
0 0 0
0 2 1
0 2 0
1 0 1
10 6
5 4 4
4 4 5
3 2 0
0 5 5
5 0 3
5 1 4
5 3 0
0 1 4
4 2 2
1 3 1
10 4
0 0 2
3 2 2
1 0 2
2 0 0
3 1 2
0 1 3
0 1 2
2 2 2
3 2 3
0 1 0
10 7
0 5 3
4 1 0
3 0 0
1 1 5
3 0 5
0 1 0
2 2 2
0 3 2
0 4 0
3 1 2
10 5
0 0 2
1 0 2
1 0 0
0 0 0
2 2 1
2 1 0
1 1 0
0 0 1
2 2 0
2 1 1
10 7
3 2 2
1 3 0
4 1 0
0 0 1
0 4 1
1 1 1
3 4 4
0 3 3
2 3 4
3 1 1
10 7
0 3 2
2 1 2
3 2 2
2 2 0
3 0 2
3 3 1
1 0 1
3 3 0
1 2 2
1 2 0
10 8
0 5 0
4 0 1
2 0 2
0 0 1
4 1 5
4 1 3
5 5 3
5 5 2
2 3 4
5 1 4
10 4
3 2 1
2 1 0
1 3 0
0 0 2
1 0 1
3 1 1
1 0 2
0 1 2
2 1 3
0 2 0
10 6
2 2 3
0 1 1
3 1 3
0 3 3
1 1 2
2 1 2
2 3 0
1 2 3
3 2 2
0 2 2
10 6
2 2 3
0 1 1
2 0 3
2 3 3
1 1 3
1 1 1
2 0 2
1 3 1
3 2 2
2 0 1
10 3
2 5 0
2 1 1
0 2 0
1 1 4
1 3 3
2 2 5
0 3 1
5 1 3
1 1 2
0 0 5
10 9
1 1 0
1 0 2
2 0 0
0 1 2
1 0 0
1 0 1
2 0 2
0 2 2
0 0 0
1 2 1
10 3
2 4 1
0 1 4
0 0 2
4 0 3
2 4 3
4 4 0
4 2 3
2 4 0
2 1 4
4 0 0
10 9
1 3 2
4 1 1
0 2 0
1 0 1
4 3 4
3 1 2
4 2 2
3 2 3
2 1 1
3 2 2
10 4
2 4 2
3 4 3
1 1 4
2 3 2
0 0 4
0 2 2
0 1 0
0 2 1
0 0 1
4 3 0
10 4
0 2 2
1 2 1
2 2 1
0 1 2
2 1 0
0 1 0
1 2 0
1 0 0
2 2 2
2 1 1
10 5
1 2 1
0 1 2
0 0 1
2 1 1
2 0 1
0 2 1
0 2 0
1 1 1
0 0 0
1 0 1
10 5
4 5 3
5 5 5
2 4 1
5 3 0
0 0 0
5 3 5
2 2 0
1 0 2
4 0 3
0 5 4
10 7
2 2 3
4 4 3
0 4 0
0 3 4
4 4 2
1 1 1
1 1 3
0 2 2
3 1 2
3 3 4
10 5
2 0 1
2 2 1
1 1 1
0 1 1
1 2 3
3 1 3
1 2 2
1 0 3
1 1 0
1 0 0
10 2
3 1 2
3 1 4
0 3 2
1 4 0
4 3 2
3 3 0
1 3 3
4 2 2
3 4 2
4 1 0
10 9
4 1 5
3 0 0
4 3 0
5 2 0
4 4 2
2 3 4
2 3 0
4 3 1
5 0 5
5 0 2
10 6
0 1 2
2 1 0
2 2 0
2 1 1
1 2 1
1 0 1
1 2 0
0 2 0
1 1 2
2 0 1
10 4
1 2 1
2 0 2
0 1 2
0 2 0
1 0 1
1 1 2
0 0 1
1 0 0
0 0 2
2 1 2
10 5
2 0 2
0 2 0
2 1 0
0 0 0
0 0 1
1 0 1
1 1 0
1 0 0
2 0 1
0 2 1
10 3
0 0 0
1 1 0
2 0 1
1 2 0
1 0 2
0 0 1
2 1 2
0 1 2
1 0 0
2 1 0
10 9
0 1 0
1 2 0
2 5 4
4 3 4
2 4 5
4 0 0
2 2 5
2 3 1
3 4 4
1 0 0
10 6
1 0 0
1 1 2
0 0 2
0 1 1
1 2 0
2 0 0
0 0 1
0 2 0
0 1 2
0 2 1
10 3
0 0 0
2 0 0
2 2 2
0 2 0
1 1 1
1 0 1
1 0 2
0 1 2
1 0 0
2 2 0
10 2
3 3 2
0 0 4
0 0 2
2 0 2
1 4 1
3 3 4
2 3 3
4 2 1
0 1 1
4 1 1
10 5
2 1 1
1 0 2
0 2 1
1 0 1
1 1 2
0 1 2
2 1 0
1 1 1
1 2 1
1 0 0
10 3
4 2 0
0 2 3
4 2 4
2 3 3
2 0 1
2 4 4
2 1 2
4 4 3
4 3 2
3 3 4
10 8
1 1 1
0 4 2
3 0 4
3 3 3
4 3 2
2 1 3
2 2 0
1 4 4
3 2 5
1 4 0
10 9
3 3 2
0 1 0
1 2 2
0 0 0
1 2 0
1 1 1
3 0 2
2 0 3
0 2 2
0 3 2
10 5
0 1 2
1 2 1
1 1 1
0 0 2
1 0 1
0 0 1
2 2 1
0 0 0
1 1 2
2 0 0
10 3
5 1 3
2 0 2
3 5 4
4 0 4
3 3 0
5 1 5
1 0 3
4 0 1
4 4 2
4 4 4
10 8
2 4 5
3 2 3
0 1 4
2 2 5
0 3 1
2 4 3
0 5 0
3 5 4
1 5 4
5 4 4
10 4
2 2 3
0 0 0
1 0 3
3 2 1
0 2 1
1 0 0
2 2 1
1 3 3
1 1 1
3 0 1
10 8
1 2 0
0 0 1
2 2 0
2 0 1
0 1 0
0 2 1
0 1 2
1 0 0
0 0 0
1 0 2
10 7
2 2 1
1 1 1
0 2 0
2 1 2
1 0 1
0 1 1
0 2 2
2 0 2
1 2 2
1 1 2
10 3
4 4 4
5 2 0
2 5 4
4 2 3
5 2 5
2 5 3
2 5 1
3 5 0
0 4 5
2 5 2
10 3
1 4 5
1 0 1
4 2 5
2 4 0
2 3 4
4 3 3
0 2 5
0 1 4
2 4 4
1 5 5
10 7
0 3 0
1 3 0
3 2 2
2 0 1
0 3 1
2 3 1
2 2 2
1 2 3
3 1 3
0 0 1
10 8
1 1 2
2 2 2
2 0 1
2 1 2
1 2 1
0 2 0
0 2 1
1 2 2
1 1 0
0 1 0
10 3
2 3 3
2 0 2
1 1 1
2 0 0
0 1 1
2 1 1
3 0 0
2 3 1
1 2 1
0 3 1
10 5
2 0 2
0 1 0
1 2 2
0 2 1
2 2 1
0 1 2
2 1 1
1 0 2
0 2 0
0 0 1
10 9
0 0 0
1 2 3
2 1 1
2 4 1
0 1 2
2 0 1
3 2 4
1 3 0
0 4 4
2 1 4
10 2
4 0 3
1 3 2
1 1 4
2 1 0
2 2 1
3 1 0
1 0 1
4 4 1
4 2 4
0 4 0
10 8
1 5 5
0 2 4
5 2 1
2 5 0
0 3 4
1 1 5
2 3 3
5 0 0
1 2 0
0 2 0
10 6
1 1 2
2 2 0
0 0 0
1 1 0
1 0 2
1 1 3
3 2 1
0 1 1
3 0 1
3 0 3
10 7
0 1 2
3 3 2
0 2 0
1 2 2
0 3 0
2 0 3
2 3 3
3 1 0
3 2 2
2 2 2
10 2
0 3 3
1 2 3
3 0 3
3 0 1
1 3 1
2 1 1
1 2 0
3 3 2
0 0 0
0 3 0
10 6
0 0 4
0 0 0
0 1 2
0 3 3
4 4 3
1 3 0
0 2 3
4 4 4
3 0 4
2 2 4
10 4
1 3 0
0 3 2
2 4 3
2 2 3
1 3 1
3 1 5
3 0 3
2 1 1
0 3 3
4 4 5
10 2
1 1 0
2 2 2
2 0 1
2 2 0
2 0 2
0 0 2
1 0 2
2 1 1
0 1 2
0 1 1
10 7
1 0 0
2 2 0
1 1 2
1 0 1
1 1 0
2 0 2
1 2 1
1 2 0
0 0 0
1 2 2
10 3
0 2 1
1 2 2
2 0 1
0 0 1
1 0 2
2 2 2
0 1 1
2 2 1
0 0 2
0 2 2
10 7
1 1 1
2 1 1
0 1 1
1 1 2
1 2 2
2 2 0
2 0 1
0 2 1
0 1 2
1 0 2
10 6
3 2 4
4 1 2
1 4 1
2 4 2
5 4 0
0 2 0
1 5 2
0 0 5
1 4 4
5 5 1
10 7
3 1 0
3 0 0
0 0 1
1 2 0
4 4 1
0 2 4
4 4 0
2 1 3
0 2 1
2 1 4
10 6
0 0 2
1 1 0
0 1 1
1 0 1
2 0 2
0 1 2
2 0 0
1 0 2
2 1 2
2 2 1
10 3
2 0 1
2 1 0
1 2 2
3 3 3
3 0 3
3 2 3
0 1 0
0 0 3
0 3 2
1 2 3
10 9
0 2 3
3 1 0
0 0 3
2 0 2
3 2 2
1 3 3
1 1 2
2 2 1
1 2 0
2 3 3
10 6
3 1 0
3 2 0
2 2 1
1 3 0
3 3 0
1 2 3
0 2 3
2 0 0
0 0 2
0 0 3
10 2
3 0 1
1 0 3
2 1 2
3 0 2
3 1 3
2 0 2
2 0 3
1 1 1
3 0 0
1 2 3
10 8
2 0 0
2 2 2
0 0 2
1 2 1
1 2 0
2 0 2
0 1 2
2 2 0
1 2 2
2 1 1
10 8
1 2 3
1 3 5
2 3 1
4 3 4
1 4 0
2 1 5
3 3 0
3 5 5
1 1 4
2 0 5
10 4
4 2 1
2 1 1
3 1 2
0 4 0
0 4 3
2 2 3
4 1 0
1 3 0
0 2 2
3 1 3
10 8
2 1 1
2 2 2
2 2 1
2 0 1
0 2 1
2 1 0
0 0 2
1 2 0
2 0 0
1 1 1
10 3
3 2 1
2 3 0
2 2 0
1 0 2
1 3 0
3 1 3
1 1 1
1 2 2
1 2 0
1 1 0
10 5
0 1 2
1 0 4
4 2 2
4 0 1
3 1 1
0 2 1
2 2 3
3 3 0
3 2 4
0 2 3
10 4
3 1 3
3 2 2
2 4 4
3 1 1
2 3 0
4 1 1
2 3 4
2 1 1
0 1 1
3 0 1
10 2
1 3 3
1 0 2
2 0 3
3 0 1
2 2 2
0 1 3
2 1 2
1 0 0
1 0 1
0 1 0
10 9
1 1 2
3 3 0
3 2 1
0 0 1
2 3 3
3 2 2
0 1 1
0 0 3
1 0 1
1 2 0
10 9
2 2 2
1 0 2
2 1 3
0 2 3
3 2 1
0 2 0
2 1 0
1 1 0
3 1 3
3 3 1
10 8
4 3 1
3 4 2
0 1 4
0 1 2
0 1 1
3 3 5
1 2 3
5 5 2
1 4 2
0 3 3
10 4
3 4 0
5 1 1
3 5 0
4 2 0
1 4 2
3 4 5
2 2 0
5 3 3
1 5 3
0 3 0
10 6
2 4 1
0 2 0
1 0 3
4 3 2
2 3 1
1 1 4
4 0 2
1 4 4
2 3 3
0 2 4
10 2
1 0 2
1 2 1
0 0 2
1 2 2
2 0 1
0 0 0
2 1 2
2 1 0
0 1 2
0 0 1
10 4
0 0 3
1 1 2
0 2 2
3 0 0
1 2 3
3 3 2
0 2 3
2 2 1
0 1 1
3 3 1
10 8
2 3 2
1 0 3
1 4 4
0 4 3
1 4 1
0 2 4
0 1 1
2 0 4
2 0 2
2 0 1
10 3
1 2 0
2 0 2
3 0 3
2 0 0
3 1 3
3 2 0
0 3 3
2 3 3
0 1 0
1 3 2
10 9
4 0 3
0 3 3
2 2 3
3 2 1
1 4 4
4 3 0
2 1 3
3 0 4
1 3 1
4 3 2
10 9
0 2 0
2 0 0
0 1 0
0 2 2
0 0 0
2 1 1
0 2 1
1 0 0
2 2 1
0 0 1
10 9
1 0 2
1 2 2
2 1 1
1 2 0
2 0 1
1 1 0
0 1 2
2 2 0
2 1 0
0 1 1
10 2
5 0 0
4 1 1
1 1 3
3 5 4
4 5 4
3 1 1
1 0 2
1 1 0
2 5 1
1 1 1
10 2
2 0 3
0 2 3
3 3 0
3 0 1
1 3 1
3 0 3
1 3 3
3 3 2
1 3 0
1 1 3
10 7
2 4 0
2 0 1
2 2 4
4 1 2
3 3 1
4 2 3
2 2 0
1 4 0
0 4 2
1 2 3
10 6
2 2 1
2 0 0
1 1 0
1 0 1
1 2 2
0 0 2
0 0 1
2 0 1
1 2 0
1 2 1
10 8
1 0 1
1 2 2
0 0 0
2 1 0
2 0 2
1 1 0
0 2 1
1 0 2
0 1 0
0 2 2
10 6
3 0 3
1 1 0
3 0 2
0 2 3
1 3 3
4 0 2
3 3 0
4 0 0
1 4 2
1 1 4
10 4
5 0 3
3 5 3
1 2 2
4 4 4
3 3 3
4 2 0
0 5 5
1 0 2
2 0 1
0 5 4
10 9
1 1 0
0 0 2
1 0 1
2 1 1
1 1 1
0 2 2
1 2 0
1 0 2
1 2 1
0 0 1
10 9
4 4 2
1 4 5
1 0 3
1 0 0
5 4 5
1 0 2
1 2 3
4 1 1
0 0 5
4 1 3
10 9
0 2 1
0 0 1
1 0 3
3 0 1
2 2 0
2 1 1
0 2 3
3 1 2
3 1 0
0 3 2
10 5
2 2 1
1 1 0
4 2 3
2 3 3
0 0 3
4 2 1
0 1 1
2 1 3
1 3 4
3 2 4
10 7
2 1 1
0 1 1
0 2 0
1 1 2
2 2 1
1 1 0
2 0 0
1 1 1
1 2 0
1 2 2
10 5
2 0 1
3 3 0
1 2 3
2 3 1
3 3 2
2 2 2
3 2 0
1 1 3
0 3 1
1 0 2
10 4
2 2 2
2 0 1
1 1 2
1 0 1
2 2 1
2 1 0
0 2 1
0 1 0
0 2 2
1 0 0
10 9
0 1 0
1 2 1
0 0 2
2 1 0
2 2 1
0 0 0
1 0 2
1 1 0
2 0 1
0 2 0
10 9
0 3 2
3 0 2
1 0 1
3 0 1
2 0 2
2 3 0
2 2 0
3 1 1
0 0 1
2 1 2
10 8
4 1 5
3 4 2
0 0 2
2 3 1
0 0 4
2 3 5
4 0 5
3 3 3
0 2 1
1 4 1
10 7
1 2 3
4 2 5
2 4 4
5 2 1
5 3 0
5 4 4
1 3 0
0 2 3
2 2 4
2 1 1
10 2
3 0 2
4 2 3
4 1 1
3 3 4
4 0 1
4 0 2
1 4 1
1 3 1
1 4 3
4 4 2
10 8
0 1 0
0 2 0
1 0 2
1 1 2
2 1 2
2 2 0
2 2 1
0 2 2
0 0 2
1 2 2
10 5
3 1 3
1 1 4
0 0 3
3 1 1
1 3 1
4 4 2
3 3 4
4 3 1
3 1 0
2 2 0
10 9
2 2 1
3 1 1
1 0 2
1 0 0
0 3 1
3 0 1
3 1 3
0 0 2
2 3 0
0 3 0
10 9
2 2 3
0 3 2
3 1 0
0 3 3
1 1 2
2 1 0
0 0 1
0 2 1
1 3 1
1 3 3
10 5
0 2 3
0 4 1
2 3 4
2 4 1
0 1 4
3 2 1
3 0 0
1 0 1
2 2 0
0 3 0
10 9
1 1 3
0 2 5
0 1 4
2 4 3
4 2 0
0 4 4
3 5 5
2 5 4
3 4 2
5 4 5
10 6
3 1 3
2 1 0
0 0 0
3 3 1
2 0 1
1 0 0
3 1 2
1 3 2
1 0 1
0 1 3
10 5
4 0 0
1 1 4
0 3 3
3 3 1
0 3 1
0 4 1
4 1 3
4 3 4
3 0 0
2 2 4
10 8
2 2 1
2 0 1
2 1 0
2 1 1
2 2 0
1 0 0
0 1 0
0 2 2
1 1 1
1 2 2
10 9
2 4 2
0 0 1
3 1 1
1 4 0
2 3 0
4 3 3
4 0 2
1 2 3
1 3 0
0 2 2
10 4
1 4 1
5 1 4
3 1 3
1 2 1
4 4 5
5 5 4
1 3 2
1 0 2
2 5 5
0 1 1
10 8
3 3 0
4 1 2
3 2 0
0 4 2
1 4 2
4 2 3
4 3 4
3 4 2
1 4 4
3 3 4
10 2
1 2 2
1 1 0
3 2 3
2 0 0
1 1 2
0 3 1
2 1 1
1 0 0
0 3 0
0 0 2
10 7
0 1 3
2 1 2
2 2 3
3 0 0
3 3 3
1 1 0
3 2 0
1 3 3
1 1 3
2 3 0
10 7
3 1 1
5 3 0
1 2 0
4 2 3
0 2 0
1 4 5
3 1 4
2 3 2
2 0 0
2 0 3
10 4
1 4 1
3 3 1
4 4 1
4 4 3
2 1 4
0 2 1
2 3 2
4 3 0
4 1 0
4 2 4
10 4
1 1 2
4 1 4
4 4 4
1 0 1
0 2 3
4 2 3
4 1 3
0 5 3
5 2 1
2 4 5
10 8
1 1 1
1 2 2
2 1 0
2 1 1
0 2 1
1 1 2
2 2 1
0 1 0
2 0 0
1 0 1
10 9
3 4 4
3 0 1
0 3 1
1 2 4
0 0 1
1 1 3
1 3 2
1 1 4
1 2 1
1 1 0
10 4
3 3 3
3 2 3
0 0 3
2 0 0
2 2 0
1 2 3
0 3 0
0 2 1
1 1 2
0 1 1
10 4
0 1 1
3 0 0
3 4 2
1 2 3
3 2 2
3 0 3
2 2 1
2 1 3
1 1 3
2 3 2
10 8
2 3 4
4 3 3
2 2 3
1 4 3
4 2 3
4 1 0
3 1 3
0 2 4
0 3 0
4 0 0
10 4
2 3 3
3 3 0
0 2 3
0 4 0
0 3 0
0 0 0
1 4 0
4 0 2
3 4 4
2 1 0
10 4
3 4 2
1 3 1
4 3 3
2 4 4
4 2 2
0 2 2
1 0 4
2 4 2
4 0 2
2 3 2
10 3
3 0 2
4 3 4
4 2 1
3 2 0
1 2 1
1 4 1
4 0 3
4 1 1
2 1 1
0 1 4
10 8
0 1 1
1 0 2
1 2 1
0 2 2
0 2 0
2 1 2
2 2 1
0 1 2
0 0 2
1 0 1
10 8
0 0 2
5 4 0
4 0 4
4 4 4
4 3 0
1 0 1
0 1 3
4 2 3
3 0 5
1 3 4
10 5
4 3 1
3 0 1
4 3 0
3 3 1
4 2 4
0 4 3
4 2 0
2 1 3
1 4 3
2 2 4
10 3
0 0 0
1 1 2
1 2 1
1 0 2
2 2 1
0 1 0
2 0 1
1 1 1
1 1 0
2 2 0
10 4
3 2 5
5 4 5
0 0 3
5 5 3
1 4 4
2 5 1
1 1 2
3 4 0
0 3 1
4 2 4
10 2
0 0 3
3 3 2
1 2 1
3 1 0
3 1 3
2 3 0
1 2 0
3 0 2
0 1 2
0 0 2
10 5
4 1 4
0 0 2
2 4 2
0 1 4
2 0 0
3 4 2
4 1 0
1 2 3
4 1 2
4 3 1
10 6
5 2 2
5 5 4
2 0 4
4 2 2
4 3 1
4 1 2
5 4 2
2 0 1
1 3 5
2 1 0
10 6
3 0 1
0 0 0
1 3 3
0 3 0
3 0 2
2 1 0
0 3 1
0 0 1
2 3 3
1 2 3
10 6
3 4 5
1 1 0
5 3 0
0 3 1
1 0 0
2 4 2
3 4 2
5 4 3
4 3 5
3 5 1
10 8
2 2 2
2 0 2
1 1 2
2 1 3
1 3 3
0 0 3
3 0 1
0 1 1
3 1 1
2 2 1
10 6
4 4 2
0 3 0
5 3 2
0 4 1
1 0 1
5 4 5
2 4 5
4 3 4
1 3 4
0 4 4
10 9
3 2 1
1 3 1
2 2 2
0 1 1
2 1 3
4 4 1
1 0 2
4 3 2
1 3 3
1 2 4
10 2
4 1 2
5 2 3
2 0 0
1 4 1
3 0 2
3 3 3
1 2 2
4 1 3
1 0 0
2 3 2
10 4
1 1 0
0 0 0
0 2 0
0 0 2
2 1 2
2 1 0
0 1 0
0 1 1
2 0 1
0 0 1
10 2
5 3 4
3 5 1
3 3 4
3 1 0
5 0 2
1 2 2
3 4 3
2 0 1
2 5 2
1 5 3
10 5
0 2 2
0 0 3
1 1 3
3 2 0
0 0 2
3 3 3
3 1 1
0 1 2
0 2 3
3 2 1
10 4
2 2 0
0 2 2
1 1 2
2 2 1
0 0 2
0 1 1
2 0 1
1 0 0
0 1 0
0 0 1
10 9
0 0 3
2 2 1
2 0 3
3 1 1
0 3 3
2 3 1
2 0 1
1 2 3
0 1 2
3 0 2
10 4
5 2 0
1 0 3
0 4 5
2 5 2
2 2 4
1 3 1
4 3 2
3 0 5
2 1 5
0 3 0
10 6
1 0 2
2 1 0
1 0 0
2 2 1
1 0 1
1 2 1
2 0 2
1 1 1
0 0 0
2 0 0
10 6
1 2 2
1 2 0
1 0 2
0 0 2
2 1 1
1 1 1
2 2 0
2 1 2
0 2 1
0 1 0
10 3
2 1 0
0 1 0
2 0 3
2 2 0
1 1 2
3 0 2
1 0 2
1 1 0
3 0 1
0 3 2
10 7
2 0 1
2 0 0
0 1 0
2 1 0
0 2 1
0 0 1
1 0 1
1 0 2
2 1 2
1 2 2
10 5
3 0 0
1 2 3
1 0 1
0 3 3
3 2 2
0 1 0
1 3 3
3 3 0
2 3 1
0 3 1
10 4
0 2 2
1 0 2
1 0 0
2 2 0
0 2 0
1 2 0
0 2 1
1 1 2
0 1 1
2 0 0
10 7
4 0 3
3 0 1
0 3 2
3 1 0
2 0 3
1 2 1
0 0 4
2 0 1
4 0 0
0 4 0
10 8
1 2 1
1 2 0
1 2 2
0 2 2
1 0 2
2 0 0
2 0 2
0 2 1
2 1 0
0 0 1
10 3
1 0 0
2 2 0
0 0 0
0 2 1
2 1 0
1 0 1
1 1 2
1 2 1
2 2 2
0 2 2
10 2
0 1 0
0 2 0
2 1 1
1 2 2
0 0 1
0 2 1
0 0 2
1 1 1
1 1 0
2 1 0
10 4
1 1 5
2 2 1
0 2 4
1 3 4
2 3 0
0 0 5
1 1 3
2 5 1
0 1 2
1 3 5
10 9
1 2 3
3 0 3
3 1 2
2 2 1
3 3 1
3 1 3
2 3 2
1 0 0
1 0 1
1 2 1
10 8
1 3 0
4 3 0
0 4 3
2 1 1
2 0 3
2 2 1
1 0 1
0 4 2
4 2 2
1 4 3
10 8
2 2 2
4 4 2
4 0 4
2 1 4
3 3 4
4 2 1
3 0 2
2 3 2
0 0 0
4 4 1
10 8
1 1 0
2 0 2
2 2 2
1 1 2
0 0 1
1 0 2
1 0 1
0 1 1
2 0 1
1 2 0
10 3
0 2 2
0 2 1
1 0 0
0 2 0
0 1 1
2 0 2
2 0 0
2 2 1
1 1 0
1 2 0
10 8
1 2 0
1 2 2
1 1 3
1 3 2
3 1 3
3 1 2
1 3 1
2 2 0
1 2 1
0 1 3
10 5
2 3 0
1 4 2
1 0 4
0 3 4
4 3 3
4 2 3
2 0 0
3 0 4
1 1 4
2 3 2
10 9
1 1 0
0 1 0
1 2 1
1 1 2
0 1 2
1 2 0
1 0 1
0 1 1
0 0 1
2 1 2
10 3
0 0 1
2 4 3
4 0 1
2 1 3
1 1 0
1 2 4
3 2 4
3 1 4
0 1 0
0 3 1
10 5
0 2 0
1 2 1
1 2 0
0 1 2
0 2 2
2 0 0
1 1 1
1 1 2
0 0 2
1 1 0
10 2
2 2 2
3 1 2
1 1 1
2 1 1
0 3 3
0 1 0
3 0 3
2 2 3
1 1 3
2 3 1
10 4
0 4 1
3 1 4
2 4 0
2 3 2
4 0 0
3 3 1
3 3 0
3 0 3
0 2 4
3 4 4
10 6
1 1 2
1 0 0
0 0 1
0 1 1
0 1 2
1 2 1
2 2 1
0 2 0
1 0 2
2 0 1
10 3
1 2 2
1 1 0
1 2 1
2 0 0
2 2 2
2 2 1
2 2 0
0 2 1
0 1 0
0 2 0
10 2
0 2 3
1 3 0
0 2 1
3 1 3
1 1 3
1 3 1
2 3 2
2 1 1
2 0 3
1 2 2
10 3
3 2 0
1 4 0
0 2 1
0 3 1
2 0 2
3 1 2
3 3 0
1 1 2
2 0 1
4 4 0
10 5
0 1 4
0 0 4
2 0 3
4 1 0
0 2 4
2 1 1
4 2 3
0 3 0
0 2 0
0 1 3
10 5
3 3 1
2 2 1
0 0 0
2 0 1
2 2 3
1 3 2
3 1 3
3 0 0
0 3 1
3 0 3
10 8
2 2 1
0 2 1
2 0 1
3 1 0
3 2 1
4 1 3
4 4 2
2 4 2
2 4 1
0 3 0
10 5
2 2 0
1 2 2
2 2 2
1 0 0
2 1 0
2 1 2
1 1 0
1 2 0
2 1 1
2 0 1
10 9
0 2 3
1 2 3
1 3 0
0 3 4
3 1 4
3 1 2
2 4 4
0 3 2
0 0 0
1 0 0
10 4
2 4 1
4 2 3
0 4 2
2 1 1
2 2 1
0 3 3
2 2 2
2 3 2
4 4 0
2 0 1
10 5
2 0 1
2 1 2
1 0 2
2 1 0
1 1 0
1 2 2
2 1 1
0 1 2
1 0 1
1 2 1
10 4
4 2 1
4 2 2
3 4 3
1 4 2
1 3 4
4 4 3
3 2 1
4 2 4
4 3 1
0 0 1
10 3
1 0 1
2 3 3
1 1 1
2 2 2
2 0 1
0 3 0
3 2 3
1 2 0
0 0 0
2 1 3
10 9
2 2 2
1 0 0
0 2 2
0 0 0
0 1 2
1 1 1
0 2 1
2 0 1
2 1 1
1 2 0
10 5
1 1 0
0 0 0
1 0 1
2 3 0
1 2 0
1 0 3
3 3 2
0 1 0
3 0 3
2 1 3
10 3
5 0 2
1 1 4
3 0 2
2 3 4
3 2 0
0 1 5
3 2 2
4 5 1
5 4 3
1 4 3
10 2
0 1 2
2 3 3
4 4 3
0 0 4
2 1 0
2 2 5
4 2 0
4 0 2
2 2 3
3 2 0
10 2
2 0 3
2 2 2
1 1 3
0 1 3
0 0 1
3 3 0
3 1 1
1 1 1
3 3 2
1 1 0
10 2
3 3 0
1 3 0
1 1 0
1 2 3
0 2 3
3 2 0
0 0 0
0 1 1
3 1 2
0 0 3
10 6
0 1 4
4 1 1
1 3 2
5 2 0
1 5 0
1 4 3
3 2 4
5 0 0
3 1 2
1 4 4
10 8
2 1 1
2 0 2
0 2 1
0 2 2
2 1 0
1 2 1
2 2 0
1 2 2
2 0 1
0 0 0
10 7
2 2 1
0 1 0
2 2 2
0 2 1
0 2 2
0 0 0
2 0 0
1 0 1
1 1 0
2 0 2
10 2
0 0 2
1 0 1
1 2 2
3 3 2
1 3 1
3 2 3
2 1 2
3 1 0
1 0 2
3 0 2
10 3
3 2 1
2 1 4
5 5 0
0 5 1
4 1 3
5 4 4
1 4 4
0 0 0
0 5 2
2 4 3
10 9
0 2 5
1 3 1
4 1 2
0 0 5
3 5 2
4 4 1
4 2 1
3 0 5
3 1 1
0 4 4
10 8
1 1 0
2 0 1
1 2 2
1 2 1
2 1 1
0 0 2
1 0 0
1 2 0
2 0 0
0 1 1
10 7
0 2 2
2 1 2
1 0 0
2 1 0
2 0 2
0 0 0
0 1 2
2 0 0
0 0 2
1 1 0
10 3
2 2 0
2 2 2
0 1 0
0 1 2
1 1 0
1 2 2
1 2 1
1 0 1
0 2 0
1 0 0
10 3
1 0 1
2 0 1
0 2 2
0 1 0
1 0 2
2 1 2
0 0 0
0 1 1
2 1 0
1 1 1
10 8
3 2 3
1 2 3
1 1 3
0 0 1
0 1 2
0 1 4
2 2 2
2 3 0
1 1 2
4 2 0
10 5
0 5 4
5 3 0
0 1 0
0 3 3
0 2 1
2 3 0
2 4 5
3 3 4
5 2 2
5 2 4
10 9
3 3 3
0 1 0
2 2 0
1 1 2
2 2 3
1 0 1
0 3 0
1 1 1
1 0 2
1 3 0
10 8
1 2 2
0 1 0
2 2 2
2 2 1
1 1 2
2 2 0
0 0 1
0 1 1
2 1 1
1 0 0
10 5
2 3 1
2 3 2
4 0 2
0 0 2
3 4 2
1 3 3
0 4 0
2 0 3
4 2 0
3 3 3
10 7
1 1 0
0 3 3
1 4 3
3 0 0
0 4 2
4 1 4
1 0 1
3 2 1
1 0 2
2 1 4
10 9
0 0 0
4 2 4
1 4 2
4 4 0
4 4 1
0 2 3
3 1 1
4 0 1
2 4 1
4 4 2
10 4
1 2 2
1 1 2
2 0 2
4 2 1
3 3 2
3 0 2
3 0 3
4 4 1
4 1 4
0 1 1
10 5
5 5 0
3 4 2
2 0 5
2 2 4
2 1 0
0 2 3
5 0 3
1 5 3
5 2 2
0 1 1
10 7
0 1 3
2 0 2
2 3 1
3 3 0
1 3 2
0 0 3
1 2 2
2 2 1
1 2 3
3 2 2
10 7
1 0 1
0 1 2
2 2 0
3 2 1
0 1 1
4 3 3
3 2 3
0 3 0
2 1 1
3 1 0
10 3
1 2 3
3 2 0
1 0 0
3 0 3
3 3 0
2 3 1
1 2 2
1 1 2
3 0 1
2 3 0
10 7
1 0 1
3 2 2
2 2 2
1 0 3
1 4 1
2 1 4
3 2 4
0 4 3
0 0 4
2 4 4
10 5
1 1 3
2 5 3
2 4 0
5 3 0
4 1 1
3 0 0
1 5 4
5 1 1
0 5 2
4 4 2
10 5
0 1 1
0 2 1
2 1 0
1 0 1
0 1 0
2 1 1
0 0 2
2 2 0
2 0 1
2 2 1
10 2
0 0 1
1 1 1
3 0 0
1 1 2
0 1 0
3 2 2
2 2 3
1 1 0
0 1 3
0 1 2
10 4
0 4 0
4 2 0
3 1 4
2 2 3
0 3 3
1 4 3
0 3 4
0 1 4
0 0 1
4 4 3
10 5
1 1 1
2 2 3
1 1 2
2 3 3
2 2 1
3 3 0
1 2 2
3 2 2
2 1 2
0 1 0
10 8
3 1 3
0 2 0
3 2 2
0 2 3
0 1 3
0 0 0
0 3 2
3 0 1
3 0 0
3 3 0
10 2
0 1 0
1 0 0
0 2 3
1 0 2
1 3 3
2 1 3
1 2 1
0 1 3
0 2 1
2 3 1
10 3
0 2 4
1 3 5
0 0 3
0 5 5
5 2 0
2 1 1
1 4 0
4 1 5
4 3 3
2 5 3
10 9
1 0 0
1 3 2
3 2 0
0 1 2
2 2 1
2 1 2
1 2 1
2 2 3
1 2 3
0 2 3
10 2
3 2 2
0 2 0
2 2 3
2 2 1
3 1 1
1 1 0
3 2 0
3 0 3
2 3 2
0 1 1
10 2
3 2 0
0 3 1
3 1 1
1 3 2
2 2 2
3 2 3
2 1 2
3 3 0
2 2 0
3 2 1
10 7
1 2 2
1 2 0
0 0 1
0 2 2
2 2 2
0 2 0
0 0 2
1 1 1
1 0 1
0 1 0
10 2
1 1 3
0 0 3
2 0 0
2 2 0
3 1 1
0 2 3
3 0 0
0 0 2
1 3 0
3 2 3
10 9
0 4 3
3 0 3
3 0 2
0 4 0
0 2 1
1 4 4
3 3 0
2 1 4
3 3 3
1 4 3
10 8
0 0 0
0 2 0
1 2 2
1 0 1
2 2 0
0 1 1
2 2 2
1 0 0
1 1 0
1 0 2
10 6
0 5 0
0 3 4
4 0 1
0 2 1
0 1 5
0 2 2
0 4 4
0 2 4
0 1 0
2 4 0
10 2
5 0 5
2 1 5
3 2 0
1 1 3
4 0 1
0 4 5
0 5 4
2 0 0
4 1 1
1 2 1
10 2
2 2 2
1 0 1
0 2 2
0 1 0
2 0 1
1 2 2
2 2 1
0 0 0
1 0 2
2 1 0
10 9
5 3 5
5 5 5
5 4 0
2 5 2
3 1 4
4 5 0
4 4 4
1 2 2
5 0 2
3 0 2
10 7
2 0 0
1 4 0
4 3 3
3 3 0
4 1 4
3 4 2
0 3 3
0 0 0
3 2 1
3 4 3
10 5
0 3 2
2 1 3
1 0 1
0 1 3
1 3 3
1 2 2
2 0 0
3 0 1
0 3 3
1 0 0
10 8
0 0 1
0 5 0
2 3 2
5 4 1
2 2 4
4 5 4
0 1 4
5 0 0
5 1 3
3 4 4
10 2
2 2 1
1 1 0
2 0 4
2 4 1
0 0 1
4 3 4
0 4 4
0 1 1
2 4 2
3 1 4
10 8
2 3 2
3 0 1
2 1 3
0 0 0
0 1 0
3 1 3
2 0 2
0 3 3
0 0 2
0 2 3
10 3
4 5 1
4 0 0
4 4 0
3 2 3
5 1 3
0 4 0
1 0 1
0 3 0
4 0 2
5 0 4
10 8
4 0 3
4 1 1
0 1 0
1 3 3
3 4 1
4 1 0
4 0 1
1 0 2
1 1 1
2 3 2
10 6
0 3 3
2 1 3
2 0 3
2 1 1
0 1 0
0 3 0
1 2 2
1 3 1
3 3 0
1 3 0
10 7
1 1 0
2 2 4
1 0 4
1 0 0
3 3 3
4 3 0
4 3 1
2 2 3
2 0 3
0 4 1
10 9
0 1 1
2 2 1
2 1 0
0 2 2
0 2 1
1 1 1
1 2 0
2 0 1
2 2 0
1 2 1
10 4
3 1 0
0 0 3
1 2 3
2 1 3
0 3 1
0 2 1
0 2 0
1 1 3
3 1 2
1 2 2
10 3
2 0 1
2 1 1
2 5 3
2 0 2
1 0 5
1 2 1
0 0 0
3 0 0
0 1 0
3 1 2
10 4
1 1 1
1 2 0
2 0 2
1 2 1
1 1 2
0 0 1
2 0 0
2 2 1
0 2 2
1 0 2
10 6
3 1 2
2 3 0
1 1 0
1 0 0
1 1 3
0 2 3
0 1 2
0 3 3
0 0 3
0 2 1
10 7
2 1 0
1 0 3
0 0 3
1 2 0
2 0 2
3 0 0
2 3 1
0 1 3
0 3 3
2 1 1
10 9
3 1 3
0 1 2
1 0 4
5 5 0
0 0 5
1 2 4
3 3 1
4 5 2
2 3 3
1 2 0
10 8
2 2 2
2 0 2
1 2 0
0 2 2
1 0 2
2 2 1
0 1 1
1 1 2
2 0 0
0 2 0
10 3
0 1 1
2 1 3
2 0 3
0 2 0
0 0 3
2 1 0
1 2 1
2 2 1
3 2 1
3 1 0
10 3
0 4 4
3 4 4
1 3 3
3 2 3
3 0 1
0 2 0
1 3 4
4 4 4
1 2 2
0 1 0
10 2
2 1 0
2 0 1
3 3 1
1 3 3
1 3 0
0 3 1
3 0 0
1 1 1
2 1 3
0 1 0
10 2
2 2 0
1 1 1
0 0 3
1 2 2
1 0 3
0 0 2
3 1 3
1 2 3
3 0 3
2 2 2
10 2
4 2 5
5 5 2
5 0 0
5 0 1
5 3 0
4 3 3
5 3 2
0 3 5
1 2 3
2 4 1
10 5
1 2 0
1 1 2
0 2 0
2 0 2
0 3 3
2 1 2
0 3 1
1 3 1
3 2 0
1 3 0
10 9
2 0 0
1 2 1
2 1 1
0 2 1
2 1 0
1 1 1
1 0 2
2 2 0
0 2 0
2 0 2
10 8
1 3 4
2 2 4
2 2 1
3 2 2
4 4 0
2 2 3
1 1 3
3 4 2
3 2 4
0 3 0
10 5
2 2 4
1 3 3
3 1 1
3 3 1
4 1 3
0 0 0
3 4 1
1 2 2
3 1 4
4 4 0
10 9
4 4 4
2 3 4
3 3 0
1 2 0
1 1 2
1 1 4
0 3 2
4 2 1
2 1 2
3 3 1
10 8
1 4 1
4 2 4
2 1 1
4 3 4
3 1 3
4 4 4
0 3 0
2 2 4
0 1 4
2 4 1
10 9
1 2 2
1 0 0
2 2 2
0 1 1
0 2 2
0 1 0
2 1 0
0 2 1
2 1 1
0 1 2
10 8
0 2 0
0 4 4
4 3 2
2 1 2
1 1 3
0 0 3
2 4 0
0 1 0
1 3 2
1 0 2
10 5
1 4 1
0 2 3
0 1 2
3 1 0
2 1 2
0 2 0
0 1 3
1 1 0
4 1 2
4 4 2
10 3
2 0 0
0 1 0
0 2 0
0 0 2
2 2 2
1 2 1
1 0 0
1 2 0
0 2 1
0 0 1
10 7
0 5 3
2 3 4
0 1 0
0 5 4
2 0 4
1 4 4
5 1 0
0 0 4
1 3 4
2 0 0
10 3
3 0 2
1 2 0
3 3 0
3 0 0
1 2 3
1 1 2
0 2 2
3 1 0
1 1 0
2 3 3
10 3
0 0 2
0 0 1
0 1 2
2 0 1
1 1 2
0 1 0
0 0 0
0 2 0
1 2 2
0 1 1
10 9
3 2 5
0 5 5
1 1 2
2 3 5
4 2 3
5 0 4
3 3 5
1 3 0
4 3 3
0 3 2
10 9
2 4 0
0 4 2
2 1 4
1 0 0
2 0 1
1 1 3
4 4 0
2 0 3
0 3 2
4 2 0
10 6
4 0 3
5 2 5
0 3 0
1 5 4
4 1 4
3 5 1
2 2 0
4 2 1
4 3 3
1 4 0
10 8
3 3 0
0 2 0
1 0 3
2 3 1
2 3 3
1 3 1
1 2 2
1 3 2
3 1 2
1 1 1
10 3
2 0 0
1 2 1
0 1 1
2 0 2
1 2 2
2 1 2
0 1 0
2 1 0
2 2 0
1 0 1
10 5
2 4 4
0 4 1
2 3 3
1 4 2
2 2 0
4 0 1
2 3 4
1 0 1
0 0 4
1 0 4
10 7
1 0 2
3 3 2
1 3 3
3 1 1
3 2 1
1 1 1
0 2 0
2 1 3
0 0 2
0 3 2
10 9
2 0 1
2 3 1
2 1 2
0 0 3
1 0 2
1 1 2
0 0 1
1 1 3
1 2 2
2 2 0
10 4
5 2 0
3 0 3
3 1 3
3 5 4
2 0 2
0 1 0
1 4 0
3 3 1
5 0 0
5 2 3
10 8
1 0 3
2 0 2
2 2 0
2 0 1
0 2 0
1 3 2
1 2 0
1 1 1
2 1 2
3 0 3
10 2
5 3 2
2 2 5
0 0 2
3 5 4
4 3 0
1 2 4
2 3 0
3 2 4
3 5 5
0 1 0
10 9
0 2 5
2 5 1
1 0 1
5 3 2
1 0 5
0 0 4
5 5 2
1 2 3
1 3 3
2 5 5
10 4
4 3 4
4 2 1
1 0 2
2 2 0
3 1 1
2 2 1
3 3 2
4 3 2
1 2 2
4 1 4
10 5
2 0 2
1 1 1
1 2 2
0 2 0
1 0 0
2 0 0
2 1 2
0 1 1
0 0 0
1 2 0
10 4
2 0 1
2 2 0
2 2 1
1 1 2
2 0 2
1 1 0
1 2 1
2 1 1
0 0 0
0 1 0
10 9
3 0 2
3 3 2
0 1 3
0 3 3
1 3 2
2 0 0
0 3 2
3 1 3
3 3 3
2 0 2
10 3
0 0 5
5 1 0
5 0 3
1 4 3
2 2 2
4 3 3
4 2 3
2 4 3
2 2 4
2 4 5
10 4
0 0 2
0 0 0
1 1 0
2 1 0
0 1 2
0 2 2
1 2 1
1 2 2
2 2 0
2 0 2
10 4
2 2 5
3 2 4
1 1 0
3 5 1
4 0 0
4 3 4
1 3 1
5 1 2
2 0 1
0 4 4
10 5
3 1 1
0 0 4
0 5 1
2 2 2
4 2 4
3 2 5
3 0 0
0 3 3
0 1 1
5 3 0
10 8
2 3 3
0 2 2
1 3 1
2 2 1
2 3 2
3 1 0
3 1 2
3 3 3
3 0 0
0 2 1
10 9
0 2 1
2 0 2
2 2 2
3 1 1
1 1 2
1 2 0
2 2 3
3 3 3
1 3 3
2 0 3
10 8
0 3 4
2 2 3
0 4 4
1 4 2
1 1 2
1 3 2
3 2 4
4 1 1
3 1 0
3 1 1
10 2
0 2 2
3 0 3
1 1 0
1 1 3
3 1 0
1 2 3
1 0 4
0 1 0
4 4 2
2 3 4
10 2
3 0 1
2 1 3
2 1 0
0 1 0
0 2 1
1 0 1
0 3 0
2 2 0
2 2 1
3 1 3
10 4
3 2 2
0 4 4
0 3 2
3 4 3
3 3 2
2 2 1
3 0 2
4 2 0
4 2 3
1 3 2
10 4
2 2 0
4 4 3
1 0 3
4 0 1
1 3 3
2 2 3
2 0 3
4 4 1
1 2 3
4 3 2
10 7
2 2 1
1 0 0
1 1 1
2 0 0
1 1 0
1 2 2
2 2 0
2 1 0
1 0 1
2 1 1
10 5
2 2 1
2 2 2
1 0 2
2 1 0
0 1 1
1 2 2
2 0 2
2 0 1
2 0 0
2 2 0
10 4
1 2 1
2 0 2
2 2 1
0 0 0
0 0 2
2 2 2
0 1 0
1 1 1
1 0 2
1 0 0
10 6
0 2 1
2 2 0
2 0 0
1 0 2
2 1 0
1 2 0
0 2 2
2 2 1
0 1 2
0 0 1
10 8
5 0 4
5 0 0
1 5 4
5 2 4
2 3 4
5 0 2
1 3 4
2 5 5
2 5 2
2 2 4
10 8
3 3 3
1 2 2
0 3 2
0 2 0
2 1 1
1 1 3
1 3 0
0 0 2
2 3 2
1 0 2
10 9
1 2 1
2 3 2
4 3 1
4 3 3
2 3 0
4 1 2
4 2 4
0 0 4
2 0 1
0 4 4
10 4
0 1 3
3 0 1
3 1 3
0 2 3
0 3 1
2 1 1
1 0 1
2 3 2
3 3 1
1 3 2
10 3
2 0 3
3 0 1
2 3 1
0 3 3
0 2 1
1 3 2
0 0 1
2 1 1
3 3 3
3 1 1
10 8
0 2 0
2 1 2
0 0 0
1 0 0
1 1 0
2 2 0
2 2 2
2 1 0
0 0 2
1 2 0
10 7
1 3 1
3 2 3
0 3 1
1 1 1
1 2 0
0 1 0
0 0 0
2 1 2
0 1 1
1 1 2
10 2
2 2 2
0 0 0
0 1 2
1 1 0
0 1 0
1 1 1
1 1 2
2 0 0
1 2 2
0 0 1
10 5
0 3 2
2 3 4
2 0 0
1 1 0
4 1 1
0 2 0
2 2 3
3 4 0
0 1 4
4 1 3
10 2
2 0 2
1 0 3
1 4 2
0 1 2
3 0 2
2 4 1
4 0 3
1 4 0
1 2 1
2 3 1
10 4
3 2 5
0 3 4
1 2 5
0 1 3
0 3 0
1 5 1
5 1 2
2 0 0
0 4 2
3 3 3
10 2
2 1 0
1 2 0
0 0 1
2 0 1
1 2 2
1 2 1
1 1 2
2 0 2
0 1 1
0 2 1
10 2
1 0 4
2 0 1
1 1 0
4 3 3
4 3 1
3 2 1
0 3 3
0 0 1
4 0 3
0 1 1
10 6
0 1 0
1 2 2
2 0 2
0 0 1
1 1 1
1 0 1
0 0 0
1 2 0
1 1 0
2 2 2
10 3
0 2 0
0 3 5
3 2 5
0 4 2
3 4 3
5 0 3
4 2 4
1 3 2
2 4 5
5 2 3
10 8
1 3 2
2 2 0
1 4 1
2 1 2
0 4 1
1 0 3
1 1 3
4 0 4
2 1 4
1 2 0
10 8
0 3 1
1 0 0
0 3 3
3 0 1
2 3 2
1 2 3
2 1 0
0 1 0
2 0 0
2 3 1
10 6
0 1 2
1 3 3
3 0 1
2 0 0
2 4 3
0 0 0
4 0 0
0 2 1
3 0 0
0 2 3
10 8
2 3 2
4 4 5
0 0 3
1 5 3
2 2 2
4 0 1
4 3 1
1 1 4
0 5 0
3 3 1
10 6
0 0 1
1 0 0
2 2 1
0 1 2
0 2 0
2 0 1
2 2 0
1 2 1
2 0 0
1 2 0
10 5
2 2 4
4 2 2
3 1 1
0 4 5
3 4 3
3 0 0
1 2 3
0 5 3
0 4 4
2 2 5
10 4
3 0 5
0 3 5
3 3 5
1 2 0
3 1 4
1 5 1
4 0 1
0 1 3
0 0 2
0 0 0
10 4
4 0 0
0 1 0
0 4 4
3 1 3
0 0 3
1 0 4
0 0 1
3 4 2
3 2 4
3 4 1
10 5
4 4 1
1 2 4
2 3 4
3 3 2
2 3 0
0 4 2
1 4 2
1 1 1
0 0 1
3 4 0
10 8
2 1 1
1 1 1
2 0 2
2 2 0
0 0 1
1 1 0
1 2 0
1 2 1
1 0 0
0 1 0
10 8
2 2 2
3 2 0
0 3 3
1 2 3
2 0 3
1 3 2
0 1 1
1 2 1
2 1 3
1 3 0
10 5
4 4 5
1 5 4
2 4 4
5 0 2
1 2 0
0 3 4
0 4 5
0 1 2
4 0 5
2 1 2
10 4
3 1 4
5 2 0
0 3 1
4 4 0
5 3 5
1 1 5
4 0 0
0 2 5
0 1 1
2 0 2
10 3
1 2 4
1 1 1
1 0 4
1 3 3
5 4 0
5 1 1
4 3 3
0 1 2
2 5 3
3 4 4
10 2
4 1 1
2 2 2
0 0 0
4 4 3
1 4 4
4 4 0
3 2 4
0 0 3
2 4 3
0 3 1
10 8
1 3 4
4 2 2
2 4 1
4 2 3
3 2 0
4 3 4
4 0 0
4 3 0
3 3 4
2 3 0
10 4
2 3 3
3 0 3
1 1 2
3 0 2
3 3 0
2 3 0
1 2 1
3 1 2
0 3 3
1 2 3
10 3
1 2 1
2 2 2
0 1 2
3 0 3
3 3 2
0 2 0
2 0 1
2 3 3
2 1 0
1 1 3
10 5
1 1 1
2 2 2
0 0 2
1 1 2
2 1 1
2 1 0
0 2 1
1 0 0
0 0 0
2 1 2
10 7
1 1 3
2 3 0
1 0 0
3 3 1
0 2 0
3 0 0
2 0 1
1 0 2
0 1 0
0 3 1
10 7
3 0 2
3 3 3
4 1 1
2 3 1
2 2 4
2 5 0
1 3 2
3 5 1
3 5 4
5 3 0
10 9
1 0 1
0 2 0
2 0 2
1 1 1
0 0 1
0 2 1
1 2 2
2 1 2
1 2 1
2 2 1
10 3
2 0 1
0 0 1
2 2 0
0 2 1
0 2 2
2 1 2
1 0 0
1 0 1
2 2 1
0 1 2
10 5
1 0 2
1 2 1
1 0 1
2 1 0
2 2 2
1 0 0
1 1 1
0 2 2
1 2 2
2 0 0
10 8
0 2 0
0 1 2
0 0 0
0 2 1
1 1 1
1 2 0
1 0 2
2 1 0
0 0 1
2 1 1
10 8
3 2 4
4 2 1
3 1 2
2 5 0
2 0 1
1 2 1
5 4 5
4 3 3
2 0 2
2 4 3
10 8
2 3 3
5 5 4
5 4 0
2 1 5
3 3 4
0 0 3
1 3 3
0 0 0
0 3 2
4 2 4
10 3
1 1 2
4 4 4
2 3 0
0 1 0
1 4 3
1 1 0
4 1 2
0 0 3
4 0 2
4 1 3
10 3
0 0 2
3 1 4
0 4 1
3 3 2
4 5 2
2 2 4
1 4 5
2 5 0
3 5 2
0 3 0
10 4
2 0 2
0 2 2
2 2 0
2 1 2
2 0 0
2 2 2
0 1 0
1 1 0
2 1 0
0 0 2
10 8
0 3 3
1 1 3
1 0 3
3 2 1
1 3 3
3 0 0
3 3 3
1 3 2
3 0 3
0 2 0
10 3
1 0 2
3 0 3
1 3 0
3 0 2
0 1 2
2 1 2
1 2 0
3 1 3
0 2 0
3 0 1
10 2
1 1 0
2 2 2
0 3 1
1 1 2
0 1 3
2 1 0
3 1 0
2 3 0
1 3 0
0 3 0
10 2
2 2 1
1 1 2
1 2 1
0 0 2
0 2 0
0 1 1
2 1 1
2 0 2
0 2 2
0 1 2
10 5
1 1 2
1 1 0
1 0 2
2 2 3
1 3 3
2 0 3
0 2 3
2 2 0
3 3 3
1 3 0
10 8
0 1 0
2 2 3
3 2 0
1 3 0
1 2 2
2 0 3
1 3 3
2 2 1
1 1 2
3 0 1
10 3
1 4 1
1 0 2
2 2 3
0 4 4
3 4 0
2 2 1
3 0 2
2 3 2
2 1 0
2 0 2
10 9
4 1 1
5 2 3
0 0 1
4 3 4
2 4 5
4 5 0
2 4 3
5 3 1
0 0 3
0 2 4
10 6
2 3 3
3 0 3
0 1 1
3 1 2
1 2 0
2 1 2
1 0 3
1 0 0
3 3 1
1 1 2
10 2
4 1 4
2 1 4
4 1 0
2 5 5
0 5 3
1 2 4
2 5 0
3 3 5
2 0 0
2 4 1
10 8
2 0 3
0 3 1
3 0 1
2 0 0
1 0 0
2 0 2
3 1 1
0 2 2
2 2 1
2 1 3
10 9
4 4 1
3 4 3
1 0 0
4 0 2
0 3 1
3 0 4
3 2 0
3 1 3
3 3 0
3 0 0
10 9
1 4 0
4 2 4
4 2 3
4 0 4
2 1 2
0 4 3
0 4 1
4 4 2
2 4 1
0 1 1
10 5
0 0 0
1 2 0
2 2 2
1 0 1
0 2 0
2 1 0
2 0 0
0 1 2
0 1 0
0 2 1
10 4
1 2 1
3 3 2
0 2 2
1 3 3
4 0 2
1 0 4
1 0 3
1 3 4
0 0 0
3 2 0
10 8
0 0 2
3 1 0
2 1 2
2 2 2
2 3 0
0 1 0
0 2 3
3 2 3
3 1 2
2 2 0
10 4
4 3 2
4 0 5
0 1 5
4 3 0
1 0 4
1 1 3
5 1 4
5 2 4
0 3 5
5 3 5
10 9
0 0 2
0 1 2
2 1 2
1 1 0
0 0 0
1 2 0
0 1 0
1 1 1
1 1 2
2 2 2
10 3
2 1 1
0 1 1
0 0 0
2 1 2
0 0 2
1 2 0
0 2 2
0 1 0
1 0 0
1 1 1
10 7
0 1 2
1 0 0
2 2 2
0 0 1
0 1 1
2 0 2
1 2 1
1 1 1
1 0 1
1 0 2
10 2
3 2 1
4 3 3
1 0 2
0 3 4
4 2 0
1 1 1
1 3 0
2 0 4
0 2 3
2 1 4
10 2
5 4 4
3 1 0
2 5 0
1 3 5
0 5 1
2 1 4
1 2 4
5 2 2
1 5 3
3 2 4
10 5
0 1 0
2 1 0
0 2 0
1 0 2
1 2 0
0 0 0
1 2 1
1 2 2
2 1 2
2 1 1
10 4
1 0 0
0 2 2
1 2 0
0 2 1
2 2 0
1 2 1
0 1 1
2 0 1
2 1 2
1 2 2
10 3
1 3 1
1 1 3
1 0 1
2 1 1
0 3 1
3 0 0
3 2 2
1 2 1
3 1 3
2 0 2
10 8
2 1 1
0 1 2
2 2 0
2 0 2
1 2 0
0 0 2
2 0 1
1 0 0
1 1 0
0 0 1
10 5
1 2 2
2 1 1
0 2 0
2 2 2
0 0 2
0 1 0
2 2 1
1 1 1
2 1 2
1 2 1
10 4
3 1 4
1 0 4
5 5 1
4 1 1
3 4 1
4 2 4
4 2 0
4 3 0
4 4 2
1 4 3
10 5
2 2 1
1 3 0
0 1 3
3 1 0
2 0 0
2 0 3
2 3 2
0 1 2
3 3 0
1 1 3
10 7
1 0 0
3 3 2
3 1 0
0 2 0
2 1 1
1 1 2
0 2 2
3 2 3
1 2 2
3 1 3
10 9
0 1 0
1 0 3
2 1 0
2 1 1
0 2 3
0 3 0
1 3 0
0 3 1
1 1 0
3 0 2
10 5
1 1 3
1 1 0
0 2 0
0 2 3
2 3 2
3 3 3
2 3 3
1 0 1
0 0 2
2 1 1
10 9
3 3 1
1 2 3
3 2 2
3 1 3
2 0 2
2 1 0
1 1 2
1 1 3
0 3 3
3 0 1
10 2
3 3 2
3 0 3
1 3 1
0 0 4
4 2 4
1 0 2
4 0 0
2 3 0
1 4 0
4 3 0
10 8
3 2 1
2 3 1
2 1 3
0 0 2
3 0 2
3 0 0
3 3 0
0 3 3
2 0 0
1 0 1
10 8
5 1 3
4 3 4
5 0 5
4 1 3
2 2 4
5 2 2
0 3 3
5 0 2
3 4 4
3 5 0
10 2
5 1 2
3 3 5
1 3 5
0 4 2
5 3 2
0 0 1
1 0 1
0 2 5
2 3 4
4 4 0
10 9
0 0 2
1 1 2
2 1 0
0 2 0
2 1 2
1 1 1
1 1 0
1 0 1
0 0 1
0 1 1
10 8
0 0 1
3 0 3
0 0 0
0 2 3
3 1 2
2 2 3
1 2 1
0 3 1
1 3 0
3 0 0
10 6
2 2 0
1 3 1
3 3 0
2 0 3
1 1 1
0 0 3
0 1 1
0 3 0
2 1 2
2 3 3
10 6
3 1 1
0 0 4
4 0 3
0 0 1
0 3 2
4 1 1
0 1 0
3 0 2
0 1 3
3 4 3
10 4
2 1 5
0 0 5
1 2 3
5 1 1
4 5 1
1 5 2
5 0 4
0 5 4
5 3 3
5 2 1
10 3
2 1 3
2 0 4
1 0 1
0 4 3
4 3 1
0 1 5
3 4 4
3 3 1
4 5 4
2 4 0
10 4
1 2 2
2 2 0
2 2 1
1 1 0
0 0 1
0 1 1
0 1 2
2 2 2
0 1 0
2 0 1
10 3
2 0 0
1 2 2
2 1 0
0 2 1
2 2 1
2 0 1
0 0 0
0 1 2
1 1 0
1 1 2
10 8
2 2 3
3 3 0
1 1 0
1 3 4
2 0 1
0 4 2
4 0 0
1 1 1
1 3 0
2 4 0
10 2
3 4 3
2 5 2
5 4 4
5 0 5
2 0 5
4 3 5
3 4 5
0 2 0
4 1 4
3 0 1
10 3
0 2 0
4 1 0
1 1 0
1 4 3
4 3 3
3 2 2
3 3 2
0 4 3
1 4 0
0 0 1
10 2
0 0 4
4 2 4
1 1 1
0 4 1
2 4 2
4 3 0
3 3 4
2 4 0
0 2 1
1 2 2
10 7
1 2 3
2 2 3
2 1 1
3 2 1
2 3 3
2 0 0
3 3 0
2 0 3
1 0 2
0 1 3
10 6
3 2 5
5 2 5
5 3 4
2 0 4
4 0 3
2 2 4
2 2 1
5 1 0
4 0 4
1 3 3
10 3
1 2 2
1 2 1
0 0 2
0 2 2
0 1 0
0 0 1
0 1 1
0 1 2
1 1 1
2 2 0
10 9
0 3 1
1 2 0
0 0 3
3 0 1
2 2 3
2 1 1
0 2 3
2 3 1
2 0 0
1 2 2
10 7
1 3 2
3 4 1
4 1 4
0 4 1
4 1 0
0 1 4
0 2 2
0 3 1
4 0 4
4 0 3
10 9
1 0 0
0 2 1
4 4 3
0 0 4
3 3 1
2 1 2
3 1 3
0 3 0
4 4 0
4 3 1
10 4
0 2 1
0 2 2
2 1 2
1 2 0
2 2 1
0 0 0
2 0 2
1 0 0
2 0 0
1 2 1
10 9
2 2 1
0 1 1
1 3 3
0 3 0
3 0 1
3 0 2
1 0 1
1 0 0
1 2 0
0 0 3
10 6
1 1 2
0 0 0
0 0 1
1 1 0
2 2 2
2 2 0
0 2 2
2 2 1
1 0 2
2 1 2
10 9
0 1 2
2 2 2
1 0 1
0 2 0
1 1 2
2 1 2
0 2 1
2 1 1
1 2 1
0 1 1
10 7
1 3 2
1 0 1
0 0 3
3 1 1
0 2 0
3 2 2
3 2 0
0 3 0
2 0 1
2 1 0
10 7
0 3 1
1 1 3
4 0 4
1 2 2
2 3 4
3 1 3
3 2 2
4 0 2
0 4 0
3 4 0
10 4
0 1 0
1 2 1
2 0 0
0 1 2
2 0 2
0 1 1
1 1 1
0 2 1
1 2 0
2 2 1
10 7
0 1 4
4 2 3
2 2 0
0 1 1
3 2 3
0 0 1
1 3 3
4 1 0
2 0 0
3 2 2
10 4
1 3 3
0 3 3
0 3 1
0 0 1
2 3 0
3 3 2
2 2 1
3 3 0
1 0 2
0 1 2
10 4
0 4 3
3 3 3
1 0 1
1 4 0
0 0 1
2 1 1
1 2 1
1 1 3
1 0 4
1 4 3
10 3
1 2 1
2 2 2
2 0 1
0 2 2
2 2 1
2 1 1
1 0 2
1 1 0
0 2 1
2 2 0
10 3
0 3 1
0 0 2
0 3 2
3 2 2
1 1 1
1 1 2
0 2 1
3 0 2
1 0 3
1 3 2
10 7
2 2 2
2 0 2
2 1 2
1 2 0
2 1 1
2 0 0
1 2 2
0 1 0
2 2 1
0 2 2
10 2
3 3 1
4 3 1
1 2 3
4 0 1
4 2 3
0 2 3
2 1 0
3 4 1
1 1 0
0 4 0
10 3
3 1 0
2 2 3
3 0 1
2 3 1
1 1 0
3 3 1
0 2 0
1 1 2
3 0 3
1 3 3
10 2
0 0 0
2 0 0
2 2 0
2 2 1
1 0 2
2 0 1
0 2 0
1 1 2
2 1 1
1 2 1
10 4
3 0 3
5 1 5
3 3 1
0 4 5
1 1 5
3 3 2
0 5 3
0 1 2
2 3 2
1 3 0
10 3
4 4 2
4 2 0
5 0 5
1 5 3
4 4 3
3 4 0
0 2 3
0 0 5
0 1 4
4 0 4
10 5
1 0 0
2 0 2
2 2 2
0 1 2
0 1 0
0 2 0
1 2 0
1 1 2
2 2 0
2 1 1
10 2
0 1 3
1 0 2
0 1 4
3 3 3
4 3 3
3 2 4
2 1 3
2 0 0
3 4 2
3 2 1
10 8
2 1 1
0 1 1
1 1 2
1 1 1
0 1 2
1 0 0
1 2 1
0 0 2
2 1 0
2 0 0
10 6
3 0 3
4 0 4
3 2 1
1 3 3
2 0 0
3 3 1
4 4 0
0 1 3
2 4 0
0 4 2
10 2
5 5 1
3 1 0
5 2 4
4 2 5
1 1 3
3 1 1
1 0 1
3 4 3
1 1 4
1 3 1
10 4
1 0 3
1 3 1
3 1 0
3 1 2
2 1 2
1 1 0
4 2 0
1 0 4
3 4 2
2 2 4
10 6
1 2 1
2 1 0
0 2 0
0 1 1
1 1 1
1 0 1
2 1 2
1 1 2
0 1 2
2 1 1
10 9
4 0 0
2 2 1
1 2 4
1 4 4
4 2 0
4 3 0
3 2 1
3 3 4
2 3 3
2 2 2
10 2
2 1 2
0 3 1
2 2 3
0 2 0
2 2 2
2 0 2
1 3 0
3 2 1
3 0 1
2 3 3
10 4
1 2 3
4 4 2
0 5 2
0 5 0
2 5 0
5 4 2
0 0 1
5 2 3
1 0 1
2 3 2
10 6
2 0 0
2 2 1
2 0 1
1 0 2
0 2 1
0 2 0
2 1 1
0 1 2
0 0 0
1 1 1
10 5
1 0 1
2 1 2
2 1 0
1 2 1
1 1 1
2 0 1
1 0 0
0 0 0
2 1 1
1 1 2
10 2
4 2 5
0 2 3
3 1 0
3 0 5
2 2 1
5 3 4
4 0 3
1 1 2
0 3 0
2 1 3
10 8
0 2 1
1 2 1
2 0 0
2 0 1
2 1 0
0 2 2
1 1 0
2 2 2
0 0 2
0 2 0
10 9
2 2 5
5 5 0
4 5 0
5 3 3
3 5 3
2 5 1
3 5 2
1 5 2
1 0 1
1 5 5
10 8
0 0 3
2 3 3
1 3 0
3 0 1
0 2 2
3 3 3
1 0 2
2 0 1
0 1 0
1 3 3
10 8
1 2 3
3 2 3
3 1 0
0 3 3
1 1 3
3 2 0
1 3 2
2 1 2
0 0 2
3 1 3
10 7
1 0 0
1 1 0
2 2 0
0 0 1
0 2 0
1 0 1
1 2 1
2 2 1
2 2 2
1 0 2
10 8
1 1 1
3 1 2
2 3 1
0 1 3
2 1 2
3 1 0
0 2 1
1 3 1
2 0 0
0 3 0
10 8
2 2 0
2 0 5
2 3 5
0 0 0
1 5 4
0 3 2
5 1 1
5 2 3
3 3 0
2 2 2
10 4
2 0 0
0 3 1
1 2 0
2 0 2
0 3 2
0 1 3
1 2 3
1 3 2
1 2 1
1 0 0
10 9
1 1 2
1 0 2
1 2 2
0 0 0
2 2 0
2 1 1
2 1 0
0 2 2
0 0 1
0 1 0
10 7
1 1 1
3 0 3
3 3 3
0 3 1
2 1 0
1 2 1
2 3 2
3 2 0
0 2 3
1 1 2
10 8
2 1 2
5 3 3
5 2 2
3 4 2
0 1 0
2 1 5
5 4 5
5 2 3
1 3 3
3 2 5
10 9
1 3 1
0 2 3
3 1 2
2 3 2
0 0 3
2 0 1
2 2 2
3 2 3
1 0 0
3 2 1
10 5
4 0 0
1 2 2
1 2 1
3 0 2
0 1 4
3 4 1
4 3 0
2 1 1
2 4 2
1 0 4
10 5
4 2 1
1 1 5
5 4 1
5 0 0
3 4 2
4 4 1
4 0 3
5 1 0
4 4 2
3 0 1
10 8
2 1 2
1 1 2
1 2 0
2 2 2
0 2 1
1 0 1
0 0 2
1 0 0
0 1 1
1 1 0
10 4
1 2 2
1 3 4
1 1 3
3 1 4
0 0 0
0 1 4
2 0 2
3 3 4
4 3 4
2 1 0
10 4
0 1 1
0 0 4
4 4 1
0 3 4
1 2 3
0 4 3
4 0 2
4 2 4
3 4 4
3 4 1
10 5
1 0 4
0 0 0
1 2 4
3 3 1
2 2 2
3 0 4
4 1 0
2 0 0
3 3 0
3 4 4
10 7
2 2 1
2 2 0
0 1 2
0 2 0
1 0 2
0 2 1
1 2 2
0 0 2
2 1 2
0 0 0
10 4
1 1 1
0 2 1
2 0 0
0 0 0
2 1 2
0 2 0
1 2 1
2 2 2
0 2 2
1 1 2
10 2
1 0 2
0 2 1
1 2 1
0 0 0
1 0 1
1 2 0
1 1 1
0 2 2
2 1 2
1 2 2
10 6
3 0 3
1 0 1
1 1 0
4 5 4
3 3 5
2 2 1
0 5 1
5 3 0
3 4 5
2 3 1
10 4
2 0 2
0 2 1
2 2 0
1 1 0
1 0 0
1 0 2
0 0 2
1 2 1
2 0 0
1 2 2
10 6
5 0 3
4 3 3
2 1 1
3 2 5
4 1 3
4 0 4
4 4 2
4 0 5
0 5 0
4 3 1
10 9
2 0 0
0 1 0
2 2 0
2 1 2
0 1 1
0 1 2
2 1 1
0 2 0
0 2 1
0 0 2
10 9
0 3 1
2 0 1
1 0 0
3 0 2
2 0 3
3 3 3
0 1 2
3 0 1
0 1 3
2 0 2
10 8
1 2 2
1 1 3
0 1 3
3 0 2
3 3 1
3 0 1
3 2 1
0 2 0
3 2 3
0 0 1
10 7
3 1 2
0 2 0
0 3 3
2 1 0
0 0 3
3 3 2
1 1 2
2 2 2
1 0 3
0 3 1
10 3
0 2 4
0 3 1
4 0 0
1 3 0
0 2 0
4 3 1
2 3 1
0 3 0
0 1 0
1 4 0
10 4
2 0 2
2 0 0
1 2 1
3 2 3
3 1 2
3 3 3
1 3 1
0 3 2
0 0 1
2 1 3
10 9
1 2 1
1 3 3
1 0 0
0 2 3
2 3 0
3 0 3
1 3 1
0 3 1
1 1 2
0 2 2
10 8
1 0 0
1 3 0
1 2 1
3 3 3
0 0 2
3 1 3
0 1 0
0 0 1
2 3 3
0 1 2
10 7
1 4 1
1 3 2
3 1 0
0 0 1
1 1 4
3 2 4
2 2 4
1 4 3
3 0 2
2 4 2
10 6
2 5 2
5 4 5
4 0 1
3 3 2
5 1 1
2 2 3
2 4 4
5 2 5
5 1 5
4 2 3
10 6
1 4 1
4 2 1
2 4 4
5 2 0
2 0 3
1 3 3
2 4 0
3 5 2
4 0 5
1 5 4
10 8
1 1 0
2 0 3
1 0 2
3 2 3
2 2 1
3 2 0
0 2 0
3 2 1
0 2 2
1 2 0
10 4
2 2 0
2 0 4
0 1 3
5 4 3
5 3 2
4 0 5
2 2 1
0 0 2
2 5 2
5 3 0
10 7
2 1 1
2 2 2
1 0 0
0 2 1
2 2 1
2 2 0
0 1 1
0 2 0
1 1 1
1 2 0
10 3
4 2 0
3 4 3
0 4 4
3 4 1
2 0 1
4 0 4
2 1 1
3 2 0
0 1 1
2 3 4
10 9
2 0 1
2 5 4
1 5 3
3 5 4
2 5 5
3 1 4
2 4 3
0 3 0
1 2 5
0 4 4
10 5
1 0 2
0 0 0
2 2 1
2 1 0
1 2 1
2 2 0
0 0 2
1 2 2
0 1 2
2 0 1
10 9
1 3 1
3 2 2
2 1 2
3 0 0
0 3 3
2 0 3
2 2 3
0 3 0
0 2 0
2 2 2
10 6
1 1 0
1 0 0
0 2 2
2 2 2
1 2 1
1 2 2
1 2 0
0 0 2
0 0 0
2 1 2
10 6
5 1 5
3 5 3
0 5 2
3 5 4
0 4 1
0 1 4
5 3 5
1 3 0
4 0 4
4 5 0
10 3
0 2 0
3 2 2
1 4 3
3 1 0
0 3 3
4 1 0
0 0 3
4 4 3
3 0 3
3 1 3
10 2
2 1 2
3 3 1
3 2 2
2 3 3
1 2 0
1 3 0
3 1 3
2 3 2
2 1 3
0 2 1
10 4
2 0 1
0 0 0
0 0 1
0 2 1
2 0 0
2 0 2
2 2 2
0 2 2
2 2 1
1 0 2
10 9
0 0 2
3 4 3
2 4 2
2 2 2
1 1 3
3 0 1
0 0 3
1 1 1
4 2 0
0 2 4
10 6
1 3 1
4 1 0
3 0 3
1 1 3
4 2 4
0 4 5
2 5 1
0 2 2
0 5 4
4 3 0
10 4
0 0 0
2 3 1
1 0 2
1 2 3
1 3 2
2 0 0
3 2 0
2 1 2
2 3 2
2 2 0
10 5
0 2 1
2 0 2
1 2 2
0 0 1
2 0 0
0 0 2
2 2 0
1 1 2
0 2 2
2 1 0
10 3
3 0 0
2 0 2
0 1 0
1 3 1
0 0 0
3 3 0
1 0 1
2 3 3
2 1 1
2 0 1
10 6
2 0 3
1 1 3
3 0 3
2 3 0
1 0 2
3 0 2
1 0 1
0 1 0
0 1 3
2 1 1
10 6
2 2 1
1 2 1
2 0 0
0 1 1
1 1 2
1 0 1
2 0 2
0 1 2
1 2 0
0 0 1
10 9
0 5 1
1 4 0
4 1 5
3 0 1
4 3 0
2 1 4
3 5 4
4 5 1
2 0 0
2 0 3
10 6
1 0 3
2 2 1
1 2 3
2 2 0
1 0 2
0 2 1
1 2 0
0 0 1
0 1 1
2 3 0
10 8
1 4 3
1 2 1
0 3 0
0 3 4
4 0 1
2 2 3
2 0 1
4 4 0
2 3 2
3 3 3
10 8
2 0 0
3 2 1
3 2 3
1 3 1
2 2 3
1 1 1
3 3 1
2 0 2
2 3 2
3 0 1
10 4
2 0 2
2 0 0
1 1 1
1 2 0
1 0 0
1 2 2
0 2 0
2 1 2
2 1 0
0 0 1
10 5
2 0 1
3 0 3
2 1 2
3 1 3
3 1 0
1 2 0
3 2 1
0 0 2
1 0 2
3 1 1
10 4
2 0 0
3 2 0
3 0 0
3 1 0
0 2 1
1 1 3
3 3 0
2 0 1
1 1 0
2 3 2
10 6
0 0 2
0 2 1
2 1 1
2 2 0
0 2 2
2 2 1
0 1 0
1 0 0
2 0 2
1 2 0
10 3
3 1 0
0 0 4
1 1 0
3 1 1
2 2 1
3 4 1
3 0 2
2 3 1
3 2 4
1 2 1
10 9
4 1 1
4 2 3
4 1 5
0 3 3
4 4 1
2 0 5
3 1 1
1 4 5
3 2 2
3 3 3
10 6
3 3 4
2 0 0
4 0 1
4 1 2
3 0 4
2 4 4
0 3 2
1 1 1
3 1 0
2 2 4
10 6
0 1 0
1 2 3
1 1 1
3 3 1
2 3 0
1 3 2
1 0 3
3 0 2
3 0 1
1 1 3
10 6
1 1 5
5 4 5
5 4 1
4 3 5
4 1 2
1 5 5
0 1 1
1 1 4
5 3 5
2 0 5
10 9
1 0 0
2 2 0
0 0 2
2 2 1
0 1 0
0 2 0
0 0 1
2 1 2
1 2 1
2 1 1
10 7
2 0 2
2 2 1
0 0 0
0 2 0
0 1 2
2 2 2
0 2 2
2 1 1
1 2 0
2 2 0
10 4
0 5 1
4 1 2
3 3 0
4 4 5
0 1 3
3 0 3
1 5 2
0 4 4
5 1 2
0 3 2
10 5
1 4 3
1 0 0
3 2 0
0 0 4
2 0 3
3 3 0
3 1 1
1 1 1
0 4 3
3 2 1
10 7
3 0 1
1 5 3
1 3 1
1 1 0
0 1 1
5 3 3
5 0 5
5 0 3
3 3 0
1 3 0
10 8
1 3 1
2 2 0
3 1 2
2 1 1
0 3 0
2 0 0
0 0 3
3 1 3
3 1 1
3 2 0
10 8
1 3 3
1 2 3
3 0 2
1 2 0
1 1 0
1 3 0
3 1 3
0 3 2
0 0 3
2 3 3
10 4
4 3 3
1 5 0
3 3 4
5 3 0
1 5 2
5 2 3
0 1 0
3 0 3
2 4 3
4 5 0
10 6
1 2 2
0 0 1
0 2 2
2 1 2
2 0 1
1 2 0
1 0 1
2 1 1
2 2 2
0 1 1
10 8
3 3 2
0 1 3
1 2 0
4 0 3
0 2 2
0 0 1
1 1 4
1 3 4
1 2 3
2 3 3
10 9
4 3 0
5 1 2
1 2 5
4 0 1
0 1 0
3 0 5
3 3 2
2 3 3
4 2 3
1 3 2
10 5
2 2 0
2 0 2
0 0 1
2 0 1
0 0 2
0 2 0
2 1 1
2 1 0
1 2 0
1 1 1
10 8
2 1 2
0 2 2
1 1 1
2 2 2
2 2 0
0 1 2
1 2 0
0 2 0
1 0 0
0 2 1
10 5
0 2 2
2 2 2
1 1 2
1 2 0
1 0 1
0 1 1
1 2 2
1 1 1
2 1 2
0 0 0
10 8
3 0 1
2 1 4
0 0 3
2 0 2
2 1 2
3 0 4
3 2 1
2 3 3
3 3 2
1 2 4
10 2
0 2 1
1 2 1
2 0 1
1 3 3
1 0 1
1 1 2
2 3 2
2 3 3
0 3 1
2 2 3
10 7
2 1 1
1 1 0
2 0 2
1 2 1
0 2 2
1 0 2
0 0 1
2 2 1
0 2 0
1 1 2
10 4
1 5 0
0 5 5
3 5 5
1 1 4
4 0 0
5 1 5
5 0 1
5 5 4
1 1 0
3 1 5
10 9
2 3 0
1 0 2
3 2 2
2 0 2
0 0 0
2 1 1
3 2 1
3 2 3
2 2 1
0 1 3
10 9
1 1 1
2 0 1
2 0 2
1 1 2
3 2 3
3 1 1
3 0 1
2 0 3
1 2 1
1 3 3
10 8
0 1 3
3 0 0
2 2 1
2 0 2
1 2 0
0 1 0
2 0 3
2 2 0
0 1 1
1 1 2
10 8
0 1 0
4 3 1
0 3 4
4 2 3
3 0 1
2 1 3
0 3 2
1 4 4
0 2 2
0 2 0
10 8
1 1 1
1 2 0
0 0 1
2 2 2
1 0 0
2 0 2
1 1 0
1 0 1
0 1 2
1 2 1
10 8
3 2 1
0 3 3
0 1 1
3 0 3
1 0 1
1 0 0
1 0 2
0 0 2
3 2 2
0 1 2
10 6
2 1 0
4 4 3
0 1 2
3 2 2
0 4 0
3 4 1
3 1 2
0 2 0
1 2 4
3 1 1
10 9
0 1 0
3 1 2
2 3 3
2 1 0
2 3 1
1 3 3
3 2 1
0 1 3
3 3 0
2 1 3
10 4
3 4 1
5 1 1
4 4 2
2 0 2
2 2 3
4 1 1
3 5 0
2 3 4
3 2 4
2 3 1
10 4
4 3 4
1 3 1
2 2 3
3 4 2
3 1 1
2 0 1
2 1 4
4 1 1
0 4 3
0 2 4
10 6
4 0 5
5 5 3
0 5 2
1 4 3
3 4 4
3 0 5
4 5 3
5 2 1
3 0 3
4 4 1
10 5
2 4 2
1 0 3
1 1 2
2 1 0
4 2 4
3 0 2
2 1 2
3 2 0
3 3 0
4 3 0
10 4
4 4 4
2 2 4
1 2 3
4 1 1
2 5 2
3 3 1
5 1 1
0 5 5
1 5 0
4 3 1
10 3
5 5 5
1 4 5
2 4 2
4 4 5
1 3 1
5 3 0
2 3 1
2 1 2
0 0 2
4 4 2
10 2
1 2 2
0 0 2
2 0 0
0 1 2
0 0 0
1 2 1
2 0 2
2 1 0
2 0 1
0 2 2
10 2
3 0 1
0 3 0
2 3 2
1 0 3
0 0 2
0 2 2
2 1 1
2 2 3
1 0 1
3 3 0
10 2
1 3 1
3 1 3
3 2 3
2 2 1
2 1 3
3 1 0
1 1 1
1 2 3
2 2 2
1 0 2
10 4
3 3 2
3 1 1
3 2 2
0 1 3
3 0 1
2 3 0
2 0 0
2 2 3
2 3 1
0 0 1
10 2
2 3 1
5 3 0
3 5 3
0 4 3
2 5 4
1 3 2
3 4 1
0 0 2
0 5 3
2 2 5
10 4
1 0 1
0 1 1
0 2 1
2 2 0
1 1 0
0 0 0
1 2 1
1 2 0
2 1 2
0 1 2
10 9
0 0 1
5 3 0
1 1 2
0 0 5
3 1 1
3 3 4
5 5 2
4 0 2
1 1 3
5 5 1
10 5
2 2 2
1 2 1
0 1 2
1 1 2
0 2 1
1 0 2
2 1 1
1 2 2
1 1 1
2 1 0
10 2
1 0 2
4 4 3
4 3 2
4 4 0
1 2 1
2 4 4
0 2 1
3 0 3
2 2 2
4 0 4
10 8
0 1 2
0 0 1
4 2 2
2 4 1
0 3 3
0 4 0
4 4 1
4 1 2
1 0 3
1 3 3
10 7
0 2 0
2 3 3
1 1 2
3 0 3
1 0 2
3 1 3
1 3 1
1 0 0
3 2 3
1 2 0
10 7
1 0 2
1 2 3
2 1 1
0 4 5
5 5 5
4 2 0
3 1 1
0 5 5
2 2 0
5 4 5
10 2
4 2 4
1 1 4
3 3 4
1 3 3
0 3 1
0 4 4
4 3 3
1 3 4
2 3 2
1 4 4
10 8
1 1 1
3 0 4
1 4 1
2 1 4
4 0 4
0 2 1
4 0 2
4 3 3
4 0 3
2 0 0
10 8
1 2 4
2 1 2
0 2 4
0 4 0
3 4 2
0 0 0
4 2 2
4 3 4
0 1 4
4 3 2
10 6
3 3 1
0 0 3
1 3 0
3 3 3
0 1 3
2 3 1
1 2 3
1 3 1
1 2 1
3 2 1
10 6
1 0 2
1 3 3
1 2 3
3 0 0
3 1 1
2 3 1
1 3 0
1 1 1
2 2 3
0 2 0
10 9
2 0 3
2 2 0
0 3 1
0 1 0
0 3 0
0 2 0
3 2 1
3 0 0
1 0 0
0 0 0
10 2
1 2 1
2 3 1
0 0 3
2 4 2
3 4 3
2 2 2
1 4 1
2 3 4
2 0 3
2 1 2
10 4
1 1 1
2 0 0
2 1 2
2 2 2
1 1 0
0 1 1
2 0 2
0 2 0
1 2 2
0 0 2
10 4
2 3 5
0 5 3
0 0 1
1 2 5
1 4 1
5 3 2
0 5 0
2 3 2
4 1 0
0 1 3
10 9
1 0 2
2 2 1
0 2 2
1 2 1
1 1 0
0 1 2
2 2 2
2 2 0
0 2 1
2 0 2
10 8
1 3 1
1 0 2
3 5 0
4 4 2
5 3 3
5 1 1
4 2 3
0 0 3
3 3 0
5 0 4
10 7
3 0 3
2 1 3
4 1 3
2 0 3
3 0 1
3 3 3
4 2 4
3 0 0
5 5 2
5 0 4
10 4
2 1 2
2 1 1
2 0 0
1 1 1
2 1 0
1 1 2
0 2 2
1 0 0
0 2 0
1 1 0
10 3
0 2 0
1 1 0
3 2 1
1 0 1
2 3 3
1 3 1
3 0 0
1 0 2
3 1 0
3 3 0
10 4
5 0 0
3 0 1
3 5 4
1 3 1
3 2 4
5 2 0
1 3 4
2 1 0
4 1 3
2 5 2
10 5
0 1 0
4 3 4
3 0 4
2 2 3
3 3 4
4 1 4
0 0 4
4 4 2
1 3 4
0 0 3
10 4
4 3 1
3 4 0
1 3 3
2 1 4
4 1 2
0 3 2
3 3 1
4 1 0
4 3 0
1 3 0
10 9
2 3 3
1 0 2
0 0 0
2 0 3
1 3 1
1 0 0
3 2 3
3 2 0
2 3 2
3 0 2
10 8
2 1 0
1 2 2
2 1 2
2 1 1
0 0 0
0 2 2
0 1 0
1 2 1
1 1 2
2 0 0
10 9
2 1 1
2 2 2
1 0 0
2 0 2
2 1 2
1 0 2
0 1 0
1 1 2
2 0 0
1 2 1
10 2
4 3 0
3 0 5
5 3 4
1 2 5
5 1 3
1 3 1
4 0 3
4 3 1
2 2 5
5 1 5
10 7
4 3 1
3 1 0
0 2 4
4 2 2
3 3 2
2 4 4
0 0 4
4 4 1
3 4 1
3 0 4
10 2
2 1 2
0 4 1
0 1 3
0 4 0
1 3 2
0 2 3
4 0 1
2 3 2
1 0 4
0 0 4
10 4
1 2 3
0 2 0
0 2 2
3 0 2
1 3 1
0 0 1
2 1 2
3 0 0
2 1 0
2 2 3
10 3
0 0 2
1 3 4
3 3 2
0 0 4
3 0 3
0 4 4
1 0 2
0 4 1
1 1 3
0 3 3
10 4
1 0 3
3 3 1
1 0 1
1 0 0
3 1 1
1 2 3
3 1 3
1 3 0
0 3 2
2 2 0
10 7
0 1 2
2 2 1
3 0 3
3 1 1
2 3 2
0 3 0
1 3 1
3 0 1
2 1 2
2 2 0
10 9
2 5 4
3 0 3
5 0 3
1 5 3
5 3 4
0 3 2
4 2 5
1 1 0
0 5 3
1 0 1
10 7
3 3 0
3 3 1
2 2 1
1 2 3
1 0 2
0 0 2
0 1 0
1 2 2
1 3 3
0 3 3
10 9
2 1 2
1 0 0
1 1 0
2 1 1
0 0 0
0 2 2
2 0 1
2 2 2
0 1 2
1 0 1
10 5
2 5 3
4 5 0
1 1 5
4 0 0
1 5 2
5 5 0
3 2 2
4 0 5
1 3 1
3 4 1
10 9
4 1 1
4 0 4
2 4 4
3 2 2
0 4 3
0 2 4
4 2 4
3 4 3
1 3 2
1 1 1
10 6
2 0 1
2 0 0
0 1 1
0 0 2
1 2 0
1 2 1
0 2 1
0 1 0
1 1 2
1 0 0
10 4
1 2 0
1 1 0
0 0 2
2 2 0
0 2 2
0 2 0
0 2 1
1 0 1
0 1 1
1 2 1
10 2
2 2 4
5 2 4
0 5 4
2 0 0
1 5 5
3 4 3
1 2 3
4 1 2
5 1 4
2 4 3
10 8
0 4 1
1 3 0
4 2 3
1 0 3
1 3 4
4 1 1
2 4 2
4 3 2
4 0 2
4 0 4
10 7
1 1 3
5 2 4
2 0 2
4 2 0
5 4 3
5 2 2
5 5 4
0 3 4
0 2 3
2 0 1
10 6
1 2 3
2 3 2
2 1 1
3 2 0
3 2 1
2 2 1
1 0 3
3 0 2
2 0 2
0 0 3
10 6
4 2 4
0 2 1
3 0 4
4 1 4
2 0 1
3 4 1
3 2 1
1 3 4
3 0 0
2 0 4
10 2
0 0 0
1 2 1
2 2 0
0 2 1
0 1 1
2 1 2
2 0 1
0 0 1
1 1 2
0 2 2
10 4
0 3 2
3 0 2
1 3 2
0 2 1
0 1 2
0 2 2
1 2 2
2 0 1
1 0 1
2 1 1
10 5
3 4 2
4 3 2
3 2 0
3 2 1
4 3 3
4 4 3
3 1 2
0 3 4
3 2 4
3 3 1
10 6
2 2 4
1 2 0
2 3 2
4 2 1
2 0 3
2 0 2
3 4 0
2 1 4
0 3 0
2 4 1
10 7
0 2 2
2 1 2
0 2 1
0 1 1
0 0 1
0 1 2
1 1 1
0 0 0
0 2 0
1 1 2
10 3
1 1 0
0 0 1
2 2 0
1 0 0
0 2 0
1 0 1
0 2 2
0 1 0
0 1 1
1 1 1
10 3
0 1 2
0 1 1
2 1 1
1 0 2
1 2 2
0 2 2
0 0 1
0 1 0
0 2 1
2 2 2
10 6
1 1 1
0 1 0
2 2 0
1 1 2
0 0 0
2 2 2
2 0 1
0 2 2
1 0 0
0 1 2
10 6
4 0 5
1 4 5
5 3 4
2 2 2
0 3 5
4 5 4
4 4 1
0 2 3
3 5 4
1 3 3
10 9
3 2 0
0 3 0
3 3 2
2 0 1
0 0 0
2 1 0
1 0 1
0 2 1
2 0 3
3 1 3
10 8
1 4 4
3 5 5
5 0 5
1 1 1
2 2 3
3 0 4
2 3 5
1 2 0
4 5 0
3 5 3
10 5
1 0 3
3 3 0
1 3 3
2 2 2
1 3 0
1 1 3
2 2 1
1 1 1
2 3 2
2 3 3
10 4
5 4 1
5 1 5
1 1 5
0 2 3
3 3 2
4 4 4
1 3 1
3 1 5
2 0 2
5 3 2
10 8
0 3 5
2 3 0
3 3 4
2 1 5
2 3 5
5 1 3
0 3 0
2 0 0
1 4 5
1 1 2
10 6
2 2 2
1 1 1
5 1 5
2 5 3
3 0 0
5 0 4
0 1 3
0 2 5
3 5 5
5 5 0
10 7
1 2 1
1 1 0
2 1 1
2 1 2
0 2 0
2 2 1
0 1 0
2 0 1
0 0 2
0 2 2
10 4
5 0 2
4 3 3
3 3 3
3 1 2
5 1 2
5 3 3
1 3 3
2 4 4
3 3 2
3 0 0
10 2
0 2 1
2 5 5
1 4 4
5 3 1
1 1 2
4 2 4
4 5 2
2 5 1
3 3 4
0 3 4
10 5
0 2 2
1 3 3
1 0 3
3 1 0
2 1 3
1 1 3
2 1 0
3 1 2
2 0 3
0 2 0
10 2
2 0 2
3 2 0
0 0 0
1 2 1
0 3 0
3 2 1
1 1 1
1 2 2
1 3 1
1 3 3
10 2
2 0 1
1 2 1
1 2 2
1 3 3
0 2 1
4 2 3
4 1 0
2 1 1
4 0 1
0 0 2
10 4
1 0 0
0 4 4
3 3 0
3 0 0
2 0 3
1 4 4
1 0 1
2 3 2
0 1 0
1 2 3
10 9
0 0 1
1 1 1
0 2 0
2 2 1
2 1 2
2 1 0
0 2 2
2 0 2
1 1 0
1 0 2
10 9
1 2 0
0 1 1
2 2 2
2 0 0
0 2 2
2 0 2
2 2 0
1 0 1
0 0 1
1 1 2
10 5
3 3 1
1 3 1
5 3 0
5 0 0
4 1 5
2 0 0
4 4 5
0 2 2
4 4 3
0 3 2
10 2
0 1 2
1 0 0
0 2 2
2 2 1
0 1 0
2 2 0
2 0 1
1 2 0
0 0 0
0 2 1
10 2
0 4 4
5 2 3
1 4 0
0 1 4
4 1 5
0 2 3
5 0 5
3 3 4
5 3 0
1 3 2
10 7
2 1 2
1 1 1
0 0 1
0 2 2
1 1 2
1 2 1
2 1 0
2 2 1
0 1 0
2 0 1
10 9
2 3 3
3 2 0
3 2 3
0 3 3
3 1 2
3 3 2
1 3 0
1 2 3
3 3 0
0 3 1
10 3
1 3 1
0 0 0
1 1 4
2 0 2
2 4 1
1 2 4
3 2 3
3 0 2
0 4 4
2 0 4
10 9
0 0 1
3 0 0
2 1 2
1 2 1
1 3 0
0 0 2
1 0 1
0 3 3
0 2 2
1 3 3
10 9
0 0 0
5 4 4
0 3 3
5 1 1
3 0 2
5 0 2
0 2 5
4 0 5
2 2 3
3 0 3
10 7
0 1 0
2 2 2
1 1 1
2 0 2
2 2 1
0 0 0
1 1 0
2 1 1
2 1 2
1 0 2
10 7
1 1 3
0 1 0
2 4 0
0 3 1
3 2 4
3 2 1
0 2 1
3 3 0
4 0 2
4 4 2
10 8
1 2 1
1 0 3
4 0 4
3 5 0
0 1 0
2 5 1
3 3 2
0 1 3
2 0 0
1 0 4
10 4
1 2 3
1 2 0
0 1 0
1 2 2
2 1 3
0 3 3
0 2 0
0 0 0
2 3 2
3 2 1
10 9
0 1 0
1 2 1
0 2 2
0 2 1
1 1 0
2 1 1
1 0 0
2 2 2
2 0 1
1 1 1
10 9
1 1 5
0 0 4
0 4 1
5 3 5
2 3 2
4 3 5
5 4 4
1 5 5
3 1 4
2 0 1
10 6
2 2 0
0 2 0
0 2 1
1 0 2
0 0 0
2 1 1
1 1 0
0 0 2
2 0 2
2 1 0
10 9
3 4 3
3 0 4
4 0 4
4 4 4
4 2 3
2 2 3
1 2 3
2 0 3
2 2 1
4 1 4
10 8
1 2 3
3 3 1
0 1 0
2 1 1
3 0 1
3 0 3
2 0 0
2 2 1
2 0 1
1 0 4
10 5
2 1 2
0 2 1
0 1 0
2 2 1
0 1 2
0 1 1
1 2 1
0 0 0
1 1 2
0 2 0
10 7
2 3 1
4 0 4
2 4 1
3 0 0
4 1 4
4 1 2
4 2 0
4 0 3
0 3 3
0 1 4
10 8
1 0 2
0 0 1
1 4 4
2 2 2
1 2 1
0 4 1
4 3 0
2 3 0
1 0 1
4 0 3
10 2
1 3 4
3 5 1
3 4 0
4 3 5
5 1 0
4 2 1
0 1 3
1 0 0
4 5 1
3 4 4
10 9
1 0 4
4 0 1
0 0 5
5 2 2
1 3 0
4 4 2
2 1 3
2 5 3
1 0 1
5 3 4
10 2
1 0 1
1 2 2
2 0 1
2 2 0
2 2 2
1 0 0
2 1 0
0 0 1
2 0 0
1 1 2
10 4
2 1 1
0 1 1
0 0 0
0 1 2
1 2 2
2 1 0
1 1 0
2 0 2
1 0 2
1 2 0
10 6
3 1 4
4 3 3
3 1 5
5 5 3
1 2 0
3 5 0
2 3 5
5 5 5
0 2 0
4 4 5
10 7
5 1 5
5 4 0
5 2 1
4 3 1
5 1 0
0 4 3
3 2 1
2 1 2
2 0 3
1 2 3
10 4
2 2 0
0 2 2
1 2 2
1 2 1
0 0 1
0 2 1
0 1 1
0 1 0
0 1 2
0 0 0
10 3
0 2 3
4 5 4
5 5 2
4 5 0
0 5 1
3 2 3
5 2 5
4 2 2
1 1 3
5 1 2
10 2
3 2 0
1 1 3
0 0 1
2 2 3
3 1 1
2 1 2
0 0 0
0 2 3
1 2 0
0 3 1
10 7
1 0 0
0 1 1
3 2 0
3 3 3
2 2 1
1 1 2
3 1 0
2 1 0
1 0 2
1 0 3
10 4
0 0 1
0 2 0
0 0 0
0 0 2
2 1 2
0 2 1
1 1 0
1 1 2
2 1 0
1 0 2
10 5
1 3 2
0 0 1
0 3 2
0 2 2
2 0 2
3 0 2
1 2 1
3 0 3
0 1 0
1 1 0
10 7
0 1 0
3 0 5
4 0 0
0 2 1
3 1 4
2 0 3
5 1 2
5 2 4
5 1 1
5 3 3
10 2
1 4 4
2 4 4
1 1 3
1 0 3
0 1 3
4 0 1
2 1 3
2 2 4
1 2 4
4 0 2
10 6
3 3 0
3 0 1
1 2 2
2 1 2
2 3 1
0 2 3
3 3 3
1 1 3
0 0 1
3 3 2
10 8
1 0 2
0 4 4
1 1 4
4 5 2
2 1 5
3 2 3
0 2 5
3 5 0
1 2 5
5 0 4
10 4
0 2 1
2 2 1
0 2 2
0 3 3
3 1 1
0 0 3
3 0 3
0 3 1
1 1 3
1 2 0
10 7
1 2 2
0 1 1
1 1 2
1 0 0
0 2 2
2 2 0
1 0 1
1 2 1
1 1 0
2 1 0
10 7
3 1 1
0 3 3
1 2 1
3 2 3
1 1 1
1 3 2
3 0 3
1 1 3
2 3 0
1 3 1
10 5
0 1 2
2 1 1
1 0 1
1 0 2
2 1 0
0 1 1
2 2 1
0 2 1
1 1 0
1 1 2
10 5
2 4 2
4 0 3
0 0 2
2 1 2
4 3 1
3 2 4
4 2 2
1 0 3
0 1 4
0 0 1
10 7
0 0 1
2 0 0
1 1 2
0 2 2
1 1 0
2 1 1
1 0 0
1 0 2
2 2 0
2 2 2
10 6
1 0 0
2 0 2
1 1 1
1 1 0
0 2 1
1 0 1
2 0 0
2 1 0
0 2 0
0 1 2
10 6
3 1 1
4 1 0
5 5 5
4 4 5
5 2 2
4 4 2
1 2 2
4 5 0
1 5 3
3 0 2
10 3
2 2 3
2 4 3
4 1 1
3 0 0
4 0 3
3 2 2
0 1 0
4 3 0
0 0 3
2 2 1
10 9
4 4 1
4 2 2
1 0 2
0 4 4
1 1 0
0 0 3
3 1 4
2 4 0
3 0 4
3 2 3
10 2
1 4 1
3 1 0
2 5 2
1 4 5
5 2 4
0 2 3
3 2 3
3 1 4
5 1 4
2 5 4
10 4
2 1 3
4 0 4
1 3 0
2 3 3
4 1 0
4 0 1
2 1 1
1 3 4
0 3 2
0 2 3
10 8
1 1 3
0 1 1
2 3 2
2 1 3
0 2 3
1 0 2
3 0 2
0 1 3
1 1 0
2 0 2
10 5
2 2 0
2 3 1
4 3 2
2 4 0
1 0 2
0 3 2
0 1 2
4 0 2
2 4 1
2 4 4
10 4
0 4 4
0 0 0
1 0 2
1 3 0
4 3 0
3 3 4
0 4 1
0 0 4
2 4 1
4 2 4
10 2
3 2 0
1 5 1
3 4 4
3 0 4
3 2 2
2 0 4
0 1 2
5 1 5
0 4 0
0 2 2
10 3
5 5 5
1 5 1
3 1 0
1 4 4
3 5 3
4 1 1
3 5 5
1 0 1
5 2 5
5 3 2
10 7
1 0 0
3 1 2
2 0 3
2 4 2
1 2 4
5 4 2
2 1 2
0 4 0
4 2 1
3 1 1
10 8
2 2 0
1 2 2
0 1 0
1 2 0
2 2 1
2 1 0
1 1 1
1 0 2
0 0 1
2 0 2
10 9
3 4 0
0 3 1
4 3 2
4 2 4
3 4 3
0 3 3
3 1 0
2 3 4
1 1 0
1 0 3
10 9
2 0 0
2 0 2
1 0 2
0 1 2
1 2 0
2 2 1
1 1 1
2 2 0
0 1 1
2 0 1
10 3
4 4 3
3 2 2
2 4 0
1 4 0
5 3 3
3 2 0
4 0 0
5 2 2
1 0 5
0 1 0
10 5
2 2 3
4 2 4
1 3 2
4 2 1
2 2 2
0 3 1
2 4 1
0 0 2
3 0 3
0 3 4
10 8
0 0 2
0 0 1
1 2 0
0 2 1
2 0 2
1 2 2
2 1 2
2 0 1
1 1 2
0 1 2
10 5
0 0 1
3 0 0
1 2 1
1 2 2
1 1 3
1 0 2
0 0 3
2 0 1
2 2 1
3 0 2
10 6
2 2 0
2 0 0
0 0 0
0 1 1
0 2 0
2 0 1
0 0 1
0 2 2
1 0 1
2 1 2
10 5
4 1 4
4 1 5
1 3 1
2 2 0
0 2 3
4 5 5
5 4 0
5 5 1
5 1 1
5 2 5
10 3
2 0 4
2 0 0
0 2 1
1 1 1
1 0 3
3 0 2
4 0 1
0 1 2
1 2 0
2 4 1
10 7
0 1 2
0 0 2
0 1 0
1 1 1
1 0 2
0 0 0
2 0 1
1 2 2
0 0 1
2 0 0
10 8
5 3 2
0 3 5
4 3 2
1 0 2
1 3 2
4 3 5
3 5 3
3 0 2
5 0 4
2 3 2
10 8
3 2 1
0 1 3
2 2 1
2 2 3
1 3 2
0 2 0
1 1 1
2 0 1
2 3 1
3 1 3
10 6
2 0 2
2 0 1
1 2 2
2 1 1
0 2 0
0 0 0
1 2 0
2 2 0
0 2 1
0 0 1
10 7
2 4 2
1 2 3
0 2 3
2 2 2
0 0 2
1 1 3
4 3 2
1 1 2
2 2 0
1 4 2
10 7
1 2 2
1 2 0
0 1 1
2 0 2
2 2 1
1 1 0
0 2 0
1 0 2
0 1 2
0 1 0
10 6
2 3 1
3 0 1
0 0 2
3 3 0
0 1 3
0 3 3
1 1 1
1 0 0
2 1 3
0 0 0
10 9
2 1 4
0 0 3
2 2 4
4 2 4
2 0 0
1 4 3
1 2 2
1 2 3
1 2 4
1 3 4
10 3
3 1 4
2 2 0
4 0 1
1 4 3
3 1 0
1 4 0
3 2 1
1 2 0
3 4 3
1 2 2
10 8
5 1 4
4 2 2
3 2 1
0 4 5
1 1 1
0 1 5
2 1 0
4 2 4
5 4 0
0 3 0
10 3
0 0 1
0 1 0
4 1 4
0 3 2
4 0 0
4 0 4
0 3 1
2 0 4
1 4 2
2 2 3
10 2
3 2 0
3 4 0
2 4 0
1 0 1
2 0 0
4 3 1
1 4 3
2 4 4
4 4 1
2 1 3
10 6
2 3 0
2 1 2
3 0 2
2 0 2
1 1 0
1 1 1
0 3 1
0 3 2
0 0 3
0 2 3
10 4
0 0 1
0 2 0
2 2 0
3 3 0
2 3 1
0 2 2
1 2 2
1 3 3
0 3 0
3 1 3
10 9
5 2 2
3 0 5
0 4 3
2 2 5
2 0 0
2 2 0
1 3 5
0 3 0
4 1 0
2 1 0
10 6
1 1 2
0 2 0
0 1 2
0 0 1
2 1 2
2 1 1
2 1 0
0 2 1
0 1 1
1 2 1
10 5
1 3 3
0 2 1
0 3 1
2 2 0
2 2 2
1 3 1
3 0 1
2 1 1
0 3 2
2 3 3
10 4
4 1 2
0 0 3
3 3 4
2 0 1
4 0 2
1 0 4
4 3 3
0 1 0
1 1 1
2 0 4
10 7
3 4 3
5 0 4
1 5 2
1 1 4
2 2 2
2 5 1
0 5 1
5 2 0
0 4 4
2 0 5
10 4
1 0 4
2 4 3
4 3 4
4 3 2
0 0 2
4 4 0
1 1 0
0 4 4
4 4 3
3 0 0
10 9
4 1 1
2 2 2
3 2 4
0 2 3
4 0 0
2 1 3
4 1 0
0 4 2
0 0 4
4 0 4
10 5
1 0 0
4 2 1
1 3 0
4 2 0
3 2 0
3 3 1
0 0 4
1 2 2
4 1 0
4 3 3
10 6
1 1 1
2 0 2
1 0 1
1 1 2
2 2 0
0 0 0
0 2 2
0 0 2
1 0 0
0 1 1
10 6
0 1 2
0 1 0
2 2 3
3 1 0
2 0 2
1 0 0
1 0 2
1 0 3
0 3 3
2 3 0
10 8
1 1 3
0 4 3
1 3 0
0 0 2
4 0 4
4 3 1
1 1 4
0 3 1
4 0 2
4 0 0
10 5
3 3 1
0 2 2
0 3 3
2 2 0
3 1 0
3 3 0
1 2 2
1 3 1
3 3 2
2 3 0
10 6
0 2 2
0 0 1
1 1 2
2 0 2
2 3 0
2 0 0
0 0 3
2 2 2
0 2 0
3 0 3
10 8
0 0 2
1 0 3
2 4 5
3 1 3
0 3 5
0 5 5
4 5 2
5 2 5
1 4 1
0 4 3
10 5
0 0 0
2 0 2
3 1 0
3 3 0
2 3 1
3 0 1
3 3 3
3 3 1
0 3 2
0 3 0
10 8
1 0 3
5 5 2
5 1 5
5 3 5
4 1 4
0 1 1
0 1 5
3 1 5
2 3 2
0 4 4
10 3
0 0 2
2 3 1
0 1 0
2 3 4
2 3 2
3 3 0
1 0 4
3 2 4
3 0 0
0 3 3
10 2
0 2 0
2 3 1
0 2 2
3 0 0
1 2 0
0 1 1
0 2 1
1 0 3
3 2 3
3 1 2
10 7
2 1 1
0 2 1
2 1 2
0 2 0
0 1 0
1 2 0
1 2 2
2 2 1
0 0 1
1 0 1
10 2
3 1 3
4 0 2
3 0 3
2 1 1
0 3 0
0 2 3
4 3 1
3 4 0
2 3 3
1 2 0
10 3
0 1 2
2 0 3
3 0 2
1 0 1
2 0 2
1 3 3
1 0 0
1 2 0
1 3 1
0 3 1
10 2
0 0 3
1 1 1
3 1 1
2 3 0
3 2 0
0 3 1
1 0 3
0 0 2
3 0 2
2 2 0
10 9
3 1 3
1 4 1
4 5 3
3 0 2
1 2 4
3 1 4
3 4 1
0 0 3
1 1 2
0 2 5
10 9
1 5 1
3 0 2
0 1 1
0 3 0
1 0 1
2 1 1
0 3 3
4 1 5
5 2 2
2 2 5
10 3
0 0 0
1 0 0
1 2 1
2 2 1
0 1 0
2 0 2
0 0 2
0 1 1
1 1 2
2 2 2
10 2
2 0 0
1 2 2
0 0 0
2 1 2
1 1 2
2 1 0
0 1 2
1 2 0
0 1 0
0 1 1
10 4
3 2 2
4 1 2
2 2 1
2 0 1
3 1 0
4 2 3
3 3 3
0 1 0
2 4 3
3 2 1
10 6
3 0 1
0 2 2
3 0 0
1 3 0
2 2 1
3 3 1
3 1 0
1 0 2
2 2 2
0 3 0
10 9
4 1 1
2 2 0
4 4 3
3 1 4
0 0 4
0 1 4
3 3 3
2 1 3
1 0 4
4 1 0
10 2
1 1 4
4 1 1
0 4 2
4 0 1
3 4 0
3 0 4
0 0 0
3 0 2
4 3 4
1 2 4
10 8
0 1 2
2 1 0
0 0 1
1 2 1
1 0 2
2 0 0
0 2 2
0 0 2
2 2 2
0 1 1
10 6
0 1 0
1 2 1
1 1 0
0 0 1
2 2 0
1 0 1
0 2 0
1 0 2
2 1 2
2 1 0
10 5
2 2 2
2 2 0
0 2 2
1 2 0
1 1 1
2 1 2
0 0 1
2 2 1
1 0 0
2 0 0
10 2
4 1 2
3 3 2
2 1 2
3 1 0
4 4 2
4 0 0
0 1 3
3 1 2
3 0 4
1 4 3
10 5
0 3 0
0 1 1
2 3 2
2 3 1
0 1 3
1 3 1
3 1 1
1 0 1
0 2 0
0 3 2
10 4
2 2 2
1 2 1
0 2 0
1 2 0
1 1 0
2 2 1
1 1 1
2 0 1
2 1 1
1 0 2
10 7
2 1 1
0 1 0
0 2 1
2 0 0
0 1 2
2 1 2
2 2 1
2 1 0
1 0 0
0 2 0
10 6
2 0 0
2 0 1
2 1 2
2 1 1
0 2 2
1 1 2
2 2 0
0 0 2
1 2 1
0 1 2
10 5
0 0 4
3 0 0
1 1 3
4 1 3
3 1 2
4 0 3
0 0 3
4 0 2
1 3 0
4 1 0
10 4
3 1 5
1 4 0
0 2 2
0 4 4
1 1 2
1 4 2
3 5 2
4 2 1
5 0 2
1 0 0
10 7
2 2 1
2 1 1
0 0 3
0 2 1
1 1 0
0 0 0
1 0 0
0 3 0
1 3 3
3 2 0
10 5
0 2 1
2 1 1
1 2 0
1 0 1
1 1 0
0 1 0
0 2 0
0 2 2
2 0 0
0 1 2
10 3
2 5 5
5 2 4
5 2 5
5 4 1
2 5 3
1 2 5
2 2 3
4 4 5
2 4 4
3 0 5
10 7
2 2 1
2 1 2
1 0 0
1 2 2
2 1 0
1 1 0
0 1 2
0 0 0
2 0 0
1 2 1
10 3
1 0 0
0 1 0
2 1 1
0 3 3
1 3 0
1 0 1
2 1 3
3 0 2
2 3 0
1 1 3
10 3
2 3 4
3 1 0
1 4 1
2 1 0
2 3 3
0 3 1
1 4 2
2 2 1
4 2 1
4 1 2
10 3
0 0 4
2 4 0
3 1 3
3 3 4
3 4 2
0 1 4
3 1 2
1 4 0
2 2 2
3 4 4
10 3
0 1 1
2 1 0
2 2 2
1 0 1
1 2 2
1 2 1
0 1 2
1 0 2
2 0 2
1 1 1
10 5
1 1 2
3 3 0
2 2 1
0 3 0
3 2 1
0 0 3
1 3 0
3 2 2
0 3 3
1 0 3
10 7
3 3 3
2 1 3
2 3 3
0 3 0
4 1 2
4 0 2
5 2 5
4 3 3
3 2 3
1 5 4
10 6
2 4 2
3 2 1
4 0 1
0 3 3
1 1 4
0 0 1
0 3 1
3 0 0
4 1 2
1 0 2
10 2
3 5 0
0 3 4
2 3 0
3 3 4
1 1 5
4 0 2
0 3 5
2 3 1
2 0 1
1 3 1
10 8
0 0 1
3 0 3
3 2 1
1 3 2
0 3 0
0 1 1
2 2 0
1 3 3
2 1 1
3 0 2
10 7
3 2 0
0 3 0
3 0 1
0 1 2
0 2 2
3 0 0
0 3 3
1 2 1
3 3 0
2 1 0
10 8
4 0 4
3 2 3
1 1 1
0 0 4
4 3 0
0 2 1
2 0 1
3 1 4
4 2 4
2 1 0
10 2
1 2 2
1 4 3
2 1 3
1 2 4
0 4 2
4 3 3
4 4 4
3 4 4
4 1 1
2 1 1
10 8
1 1 1
1 2 2
1 1 0
0 0 0
0 2 2
1 2 0
2 0 2
1 2 1
1 0 1
2 0 1
10 7
1 1 1
2 0 0
0 0 1
3 2 0
1 0 1
0 0 2
2 3 1
1 3 3
0 0 0
0 3 0
10 9
0 0 2
1 1 2
2 1 2
1 0 1
2 0 0
2 0 1
2 2 1
1 2 2
0 1 0
2 2 2
10 6
1 2 0
3 1 1
0 0 0
4 2 3
2 1 1
2 4 2
2 2 4
2 3 4
2 1 2
3 2 0
10 6
3 1 4
2 1 1
1 3 1
4 3 2
3 3 1
2 1 2
3 4 0
0 0 1
2 3 4
2 0 0
10 5
1 4 1
3 3 3
3 3 4
5 5 3
0 0 2
2 3 0
2 2 0
1 1 1
2 5 5
1 0 2
10 5
0 1 0
0 1 1
2 2 1
0 2 1
1 1 2
1 2 2
2 0 2
0 0 1
0 0 2
1 0 1
10 6
2 2 1
0 1 0
0 0 0
2 0 0
2 2 0
2 0 1
0 2 2
1 1 1
1 0 0
1 2 0
10 4
3 1 3
2 3 0
1 2 2
0 1 2
0 3 2
3 3 1
0 3 3
1 1 3
1 2 1
3 1 1
10 9
1 1 3
1 3 0
0 2 0
2 2 0
0 1 3
1 2 2
2 0 3
0 0 0
3 1 1
2 1 2
10 8
0 1 0
1 0 3
2 3 2
2 3 0
3 0 1
1 2 3
3 3 3
2 1 2
3 0 3
1 1 3
10 6
4 1 2
1 1 1
4 0 2
2 1 2
2 0 2
3 4 1
0 0 1
1 2 1
0 3 4
4 2 0
10 9
0 3 0
3 2 2
0 3 2
0 2 0
1 1 3
0 3 3
2 3 0
2 2 0
2 2 3
1 3 2
10 4
5 5 4
3 3 3
4 5 0
1 3 4
0 5 3
3 2 1
0 4 2
4 2 3
2 5 5
3 0 0
10 5
2 4 1
5 5 2
3 0 0
4 3 3
4 4 5
4 3 1
1 1 1
3 0 4
4 1 5
2 0 4
10 3
0 2 1
1 1 1
2 0 1
0 1 2
0 0 0
1 2 0
2 1 2
2 1 0
1 1 0
1 2 2
10 8
3 3 4
3 2 3
0 0 2
1 3 4
2 3 2
0 2 2
2 4 0
1 1 3
2 2 0
2 3 4
10 2
2 0 0
1 1 1
1 0 1
3 1 0
3 3 2
3 2 0
1 0 2
1 2 0
2 3 0
0 0 3
10 7
1 2 3
0 2 2
1 1 0
2 0 2
1 0 0
1 3 3
0 2 0
1 2 2
2 0 1
1 2 0
10 7
0 1 1
3 0 3
0 0 1
0 2 0
3 0 1
1 1 1
1 2 3
0 1 2
3 3 2
1 0 1
10 8
2 2 4
1 5 3
5 2 1
5 4 1
0 5 3
4 1 5
3 4 3
4 0 5
1 0 1
5 1 1
10 3
3 2 3
1 2 3
1 1 3
1 1 1
2 0 1
1 3 2
2 2 2
0 3 0
1 3 1
3 1 2
10 9
3 2 1
3 4 3
0 0 2
1 0 1
3 1 3
0 0 3
1 0 4
3 0 1
3 3 2
4 1 2
10 9
3 3 3
2 2 1
1 1 0
1 2 2
0 0 0
3 0 3
2 1 0
3 1 2
3 3 2
2 0 3
10 6
0 5 1
0 0 2
5 2 5
0 2 4
1 5 4
1 5 2
3 4 5
2 3 0
1 1 5
3 5 5
10 9
1 0 1
1 3 3
3 3 0
0 3 0
2 2 1
2 0 1
1 0 2
3 2 1
3 1 0
2 3 2
10 4
0 0 2
2 1 0
0 2 0
2 0 1
1 2 2
0 1 2
1 1 1
0 2 2
1 0 1
2 2 2
10 6
3 5 3
2 0 4
3 3 3
4 1 3
0 2 2
0 5 0
1 2 1
0 2 0
3 2 0
3 5 4
10 8
1 1 1
4 3 0
2 4 3
0 0 2
3 2 1
4 2 4
3 0 0
1 3 3
0 0 1
2 4 1
10 8
4 3 4
3 2 1
1 4 0
4 4 3
1 1 4
4 4 4
1 4 3
2 1 4
1 3 3
3 1 0
10 5
0 0 0
1 0 1
0 1 0
0 2 0
1 2 2
1 2 0
1 2 1
2 1 1
2 0 0
1 1 0
10 3
0 0 2
1 0 0
3 2 2
3 3 1
2 1 3
4 1 1
4 1 2
3 0 3
3 0 0
1 4 3
10 9
2 1 3
1 3 1
3 1 3
2 0 1
1 2 3
2 0 3
2 2 1
0 2 1
0 1 2
3 2 2
10 4
2 2 1
2 1 1
2 0 0
0 0 0
1 2 2
1 0 1
1 2 0
2 2 0
0 1 2
2 1 0
10 2
5 0 3
5 1 5
1 1 5
2 2 3
4 0 4
2 3 1
5 5 1
0 1 3
2 0 1
0 4 5
10 8
2 1 0
1 2 1
1 0 0
0 1 2
1 1 2
2 0 2
0 2 2
0 2 1
2 2 1
1 2 0
10 6
1 1 2
3 3 3
1 3 0
1 3 3
3 0 1
3 1 1
0 2 0
2 1 3
2 3 1
2 0 3
10 3
0 3 1
3 0 0
0 0 1
1 1 2
2 3 1
3 2 1
3 1 1
0 2 2
2 0 1
3 0 3
10 7
2 0 2
1 1 2
2 0 1
1 2 1
2 2 2
0 0 1
1 0 2
2 2 0
2 0 0
1 1 1
10 2
2 2 3
3 1 3
3 1 1
1 0 1
0 2 3
0 3 3
3 1 0
1 3 3
3 1 2
2 1 0
10 9
1 1 3
1 4 2
1 4 3
2 4 2
0 3 0
1 1 2
1 4 4
3 0 1
3 2 3
4 0 3
10 5
2 0 1
2 2 2
1 1 0
0 0 2
0 2 2
2 1 0
1 2 1
1 1 2
1 0 1
0 0 0
10 7
2 3 5
3 2 1
1 3 3
0 2 3
4 1 2
3 2 2
5 3 3
0 4 3
1 5 3
2 3 4
10 9
3 1 1
0 2 1
3 3 1
2 3 1
0 3 1
0 3 3
3 0 1
2 1 3
1 2 3
1 1 2
10 4
0 2 2
0 0 0
3 0 1
1 2 3
2 0 3
2 3 3
2 2 3
1 3 1
0 3 0
2 0 0
10 2
0 1 3
4 3 2
3 1 1
2 3 1
3 4 3
3 0 2
0 3 4
3 1 3
4 1 0
3 1 4
10 2
3 1 2
1 3 3
2 0 2
4 1 0
0 0 3
0 1 0
4 4 1
0 3 4
1 2 4
1 1 1
10 2
4 3 1
0 2 4
4 3 4
1 4 3
0 0 3
2 1 3
3 4 4
1 1 2
3 2 1
0 4 1
10 7
0 0 0
0 2 0
1 0 2
2 2 1
2 1 0
2 0 2
1 0 0
0 0 2
0 2 1
0 0 1
10 4
2 2 0
0 1 2
1 2 0
2 0 1
2 0 2
2 1 2
0 0 0
0 0 2
0 0 1
1 0 1
10 9
0 1 1
0 0 0
2 1 1
0 0 1
2 0 1
1 0 1
2 1 2
1 1 1
0 1 2
2 0 2
10 2
1 0 4
4 4 0
4 0 0
4 1 2
2 2 1
4 4 3
4 5 0
3 0 5
2 0 4
0 3 4
10 4
2 2 1
2 4 3
5 0 3
5 1 4
4 4 3
1 1 4
0 4 3
4 3 5
3 0 2
4 2 2
10 8
2 0 3
2 1 2
1 1 1
3 0 1
2 3 0
3 3 1
3 2 3
3 3 3
0 0 0
3 0 3
10 2
0 2 3
2 3 1
1 1 1
3 3 2
1 2 0
4 1 4
1 2 3
2 3 4
0 2 1
0 3 0
10 7
0 2 2
2 3 1
0 2 5
4 2 5
2 0 4
4 0 0
4 2 3
0 1 2
2 0 5
2 5 2
10 3
1 1 2
3 0 0
0 1 1
4 2 1
1 0 3
0 1 2
2 0 2
0 3 2
3 1 0
4 3 3
10 3
1 3 2
2 4 3
2 1 3
4 2 3
2 5 0
5 4 1
0 3 4
3 3 0
5 3 5
5 0 0
10 7
5 4 3
3 3 2
4 4 1
3 1 1
2 5 1
5 2 0
2 3 4
0 2 3
3 5 4
4 5 0
10 9
0 3 2
2 5 2
4 5 2
4 0 0
1 0 4
3 0 3
4 3 4
1 5 0
5 0 4
2 5 0
10 5
1 2 2
2 2 1
0 2 2
2 1 0
2 0 1
1 0 2
0 1 2
0 2 1
1 1 2
1 2 1
10 4
3 1 3
2 0 3
0 3 0
2 0 2
0 0 3
0 2 0
2 3 3
2 1 0
3 2 3
2 3 0
10 2
2 0 1
0 0 1
1 1 1
1 0 1
1 1 0
2 1 2
0 1 2
0 1 1
0 1 0
0 2 1
10 7
2 2 1
0 3 4
2 0 5
1 5 4
4 3 1
1 1 2
1 4 2
4 4 4
3 4 1
5 1 2
10 7
2 0 1
1 0 2
0 3 3
0 0 1
3 3 1
0 2 2
0 1 0
2 3 1
3 0 0
1 0 0
10 2
2 0 3
1 2 1
2 1 3
4 2 3
5 4 2
3 5 2
1 5 4
1 2 2
3 3 3
3 5 3
10 2
0 0 0
0 2 2
1 0 0
2 0 0
0 1 0
1 2 0
0 1 2
2 1 0
2 2 0
1 2 2
10 8
0 2 0
0 2 2
0 2 1
2 0 2
1 2 2
2 2 0
0 0 2
2 2 1
2 0 1
0 0 0
10 3
0 3 0
2 1 3
4 3 4
0 4 3
3 3 0
2 3 2
0 2 1
0 3 1
4 2 0
2 4 0
10 6
0 1 2
5 3 5
3 3 0
0 0 2
0 3 2
3 2 4
4 4 4
3 0 1
0 3 0
3 4 1
10 9
0 3 0
2 1 2
1 1 1
0 0 2
0 0 0
1 1 2
2 1 3
1 0 3
0 3 1
3 0 0
10 8
1 3 0
3 4 1
2 0 3
3 1 1
4 0 5
0 0 5
5 1 0
3 2 1
0 5 1
2 2 0
10 4
4 1 0
4 0 0
2 2 1
2 2 2
4 4 0
3 4 5
0 0 4
0 4 1
0 4 4
0 2 5
10 3
1 0 0
2 1 3
1 3 1
0 3 0
3 1 3
3 1 2
2 0 0
3 3 1
1 1 3
2 0 3
10 3
2 0 3
1 1 3
1 3 4
1 3 1
4 0 4
4 2 4
1 4 1
2 0 2
0 4 1
2 2 1
10 5
0 1 3
1 2 1
1 0 0
0 3 2
1 3 0
2 0 2
3 2 1
1 2 2
1 0 1
1 1 2
10 4
3 2 0
0 3 2
0 3 3
1 0 0
3 3 2
0 3 0
3 4 2
1 3 0
4 1 0
0 3 4
10 8
0 0 1
1 1 0
0 1 1
1 2 0
2 0 0
2 0 1
2 1 2
0 0 0
2 2 1
1 1 2
10 6
5 3 0
4 4 1
2 3 3
1 3 0
3 1 5
4 0 4
1 2 2
0 5 5
1 3 4
2 0 0
10 9
2 0 2
0 0 2
0 1 2
2 2 1
0 2 2
0 0 0
1 0 1
1 2 0
2 2 2
0 2 1
10 4
0 0 1
0 0 4
2 3 3
1 1 0
1 2 0
2 1 2
0 3 0
3 2 3
3 1 1
3 4 1
10 7
1 2 2
1 1 2
1 2 1
2 0 0
0 1 2
0 0 2
2 2 0
0 2 2
2 1 0
1 1 0
10 6
0 0 2
3 4 5
0 1 5
3 4 2
2 2 4
3 3 5
1 4 2
0 3 1
5 5 0
2 2 1
10 7
1 1 2
4 1 2
2 3 1
3 2 4
2 1 3
2 4 3
2 0 4
0 1 4
0 1 1
0 3 0
10 4
3 3 0
3 2 1
3 0 3
0 3 0
1 0 2
2 1 1
0 1 3
1 2 2
0 0 1
1 1 2
10 4
1 2 4
3 4 4
0 0 2
2 5 5
3 1 1
0 1 4
1 1 3
3 1 5
5 1 5
1 3 5
10 3
3 1 2
2 3 2
3 0 2
1 2 3
3 2 3
3 2 2
3 2 1
0 3 1
1 3 3
0 1 2
10 7
2 1 2
4 3 1
4 4 0
0 4 3
1 3 2
1 1 4
0 1 0
1 2 2
2 4 4
4 3 4
10 3
3 3 2
0 3 0
3 1 1
1 3 3
2 1 3
3 3 1
1 1 1
3 1 2
0 0 0
3 2 2
10 5
0 1 2
1 3 1
0 5 1
2 2 5
2 5 3
0 5 2
0 3 1
4 2 3
1 1 4
0 1 4
10 5
2 1 0
4 4 1
0 3 0
1 2 4
1 2 0
0 0 0
4 3 0
4 1 2
4 4 2
0 0 1
10 9
2 0 1
1 3 2
2 1 1
3 2 1
4 1 3
1 4 4
4 4 4
2 4 1
3 3 0
3 3 1
10 5
4 3 2
2 0 0
5 2 2
2 4 5
1 3 3
1 5 0
4 1 2
3 2 1
3 5 1
0 0 1
10 3
1 3 0
3 3 0
3 0 3
3 1 3
1 1 2
1 2 1
1 0 0
0 2 1
2 3 1
3 1 1
10 2
3 0 5
1 2 1
3 1 2
4 1 3
0 5 3
1 0 3
3 5 0
4 5 0
5 5 3
2 3 4
10 4
0 1 3
0 5 4
0 3 1
3 3 4
1 4 5
3 3 0
3 2 2
5 4 1
2 5 3
1 2 2
10 4
4 0 0
0 3 4
3 4 2
3 4 4
0 2 3
2 3 4
1 1 0
4 4 4
2 2 0
3 3 2
10 7
1 1 2
2 5 0
1 4 2
4 2 0
3 3 5
4 3 1
5 3 3
0 3 1
4 1 4
5 0 0
10 4
5 4 0
2 4 3
3 5 2
1 2 4
5 3 1
5 4 3
0 2 1
5 2 2
4 1 1
1 1 5
10 7
0 3 0
0 2 1
3 3 3
3 2 0
1 2 1
2 2 3
2 0 1
1 1 1
3 1 2
3 1 3
10 9
2 0 0
2 0 1
1 0 0
0 0 2
1 1 0
1 1 1
0 1 2
1 2 0
1 2 1
1 2 2
10 2
4 0 3
5 3 0
4 2 0
4 5 1
4 5 3
2 3 4
4 2 5
4 2 2
3 0 3
5 4 4
10 3
4 1 3
0 4 3
0 3 3
3 0 0
4 4 1
4 2 3
3 0 1
4 0 1
2 3 4
1 3 3
10 6
4 2 1
0 0 4
2 1 2
2 4 3
1 3 4
4 0 4
4 2 2
3 2 4
2 0 3
3 0 1
10 9
1 1 0
0 1 0
1 2 0
0 0 1
0 2 2
2 2 2
0 1 2
2 1 2
0 0 2
0 0 0
10 4
1 3 0
3 2 3
0 2 3
1 3 1
2 1 3
2 0 3
0 2 1
3 0 3
3 3 1
0 0 3
10 6
2 2 0
0 1 1
1 0 1
2 0 1
4 2 3
0 3 3
4 4 4
1 4 1
2 3 2
2 4 1
10 3
3 1 1
0 1 4
3 0 2
3 2 1
2 1 2
0 4 1
2 1 1
2 4 2
0 2 3
1 2 4
10 9
0 1 0
2 1 0
2 3 1
1 0 0
3 0 3
1 0 1
0 1 2
3 2 3
1 1 3
1 1 0
10 8
2 1 3
5 5 3
5 3 5
3 0 0
2 4 4
0 5 0
1 5 4
4 1 0
1 0 0
3 3 3
10 7
1 2 1
1 1 1
1 2 2
0 1 1
2 1 2
0 2 1
2 1 1
2 0 2
0 1 2
0 0 1
10 5
2 0 1
2 2 2
2 2 1
0 1 1
1 0 1
1 2 1
0 0 0
1 2 2
0 0 1
1 2 0
10 5
3 0 1
0 0 4
1 3 3
4 2 2
4 0 3
4 4 1
0 2 2
2 3 0
1 2 4
0 4 3
10 8
1 3 3
0 4 3
2 3 3
0 0 2
2 1 1
3 0 0
4 0 0
1 4 0
1 4 4
1 0 1
10 3
1 1 1
3 0 0
3 4 2
1 1 0
1 4 3
0 0 4
0 2 0
2 2 0
2 3 0
1 4 4
10 9
2 1 1
1 2 1
0 2 2
2 1 0
2 1 2
1 0 0
0 1 0
1 1 0
2 0 2
1 1 2
10 7
0 3 2
3 4 4
4 3 2
0 2 0
2 0 2
3 0 4
1 1 0
3 4 0
2 4 4
4 1 3
10 3
0 0 1
0 0 2
1 0 1
0 2 1
2 2 1
2 1 2
0 1 0
1 2 0
1 1 2
1 1 1
10 3
1 2 0
0 0 1
0 1 3
4 2 4
4 3 4
3 0 1
1 1 1
1 3 0
3 2 1
0 2 0
10 8
2 1 0
2 0 1
2 1 1
0 1 1
1 1 1
2 1 2
0 0 1
0 0 0
2 2 0
1 0 2
10 9
3 3 1
3 3 2
1 2 0
1 0 0
0 1 0
1 2 2
1 3 3
3 1 3
0 0 3
0 1 2
10 5
2 2 2
4 5 2
0 0 2
0 3 0
2 1 2
3 2 1
1 0 3
1 3 0
5 0 1
4 0 5
10 7
1 2 1
2 2 0
0 1 2
2 2 1
0 2 2
2 2 2
2 0 0
1 0 1
1 2 0
2 0 1
10 6
3 3 0
2 1 0
4 5 0
0 4 3
1 4 5
0 1 5
0 3 0
1 1 4
3 0 1
5 3 3
10 2
2 4 4
0 2 3
3 0 3
0 4 1
4 3 5
2 0 1
5 2 4
1 0 2
3 5 3
3 3 1
10 2
5 2 3
2 2 2
1 1 1
3 0 2
0 0 3
4 0 2
5 0 0
1 5 5
3 4 4
3 4 2
10 2
5 3 2
5 4 5
2 5 2
5 3 4
3 4 5
5 5 4
1 2 2
1 3 3
2 5 1
0 2 2
10 8
3 1 0
1 1 0
3 2 3
2 4 3
1 3 0
2 0 0
1 2 0
1 1 2
4 0 4
3 4 0
10 3
3 2 3
2 2 3
3 3 1
0 3 1
3 3 2
2 2 2
0 0 3
1 1 1
1 3 2
2 2 0
10 2
3 0 3
2 0 1
2 4 3
1 1 4
2 0 0
4 1 0
4 1 1
3 4 0
0 4 2
1 2 3
10 5
1 3 1
1 0 3
2 1 0
1 0 0
0 2 3
3 1 1
3 3 2
3 0 3
0 1 0
0 3 0
10 6
0 1 2
2 3 1
1 4 0
1 3 1
1 5 1
5 4 5
5 3 1
4 2 2
4 1 1
1 4 4
10 7
4 5 0
2 4 1
1 3 3
3 3 1
4 4 4
2 1 5
3 4 0
3 5 1
5 2 3
2 4 0
10 2
2 0 1
3 5 4
0 5 1
1 0 4
1 1 3
2 2 5
0 4 0
4 0 0
2 3 4
4 1 3
10 2
0 2 0
2 2 1
3 1 4
2 0 1
1 1 1
2 2 3
3 4 4
4 3 2
0 1 4
2 4 3
10 6
3 2 0
3 2 2
5 5 1
5 4 5
4 1 4
3 4 1
5 1 2
0 0 3
3 3 0
4 4 1
10 9
1 1 0
2 0 3
1 3 2
2 1 2
1 3 1
2 2 3
1 2 2
0 1 1
0 1 3
2 1 3
10 2
1 1 1
0 1 1
2 0 0
0 0 2
1 0 1
2 1 0
2 1 2
0 0 0
1 1 0
0 1 0
10 9
1 0 0
1 2 2
3 3 3
2 2 1
3 2 0
0 1 2
0 2 3
1 3 3
2 1 0
3 0 0
10 8
0 1 2
1 1 3
3 0 0
3 0 3
0 3 2
3 1 0
0 3 3
3 0 2
2 0 2
2 2 0
10 3
0 2 3
2 0 3
3 1 1
3 0 1
4 4 0
1 2 1
0 4 1
4 3 2
2 4 4
3 3 0
10 5
3 0 2
0 3 4
4 4 2
4 1 4
0 4 4
1 1 2
4 2 0
2 2 4
4 1 3
1 4 3
10 7
1 1 2
2 2 2
1 0 2
2 1 2
1 2 1
1 1 0
2 2 1
2 1 1
0 1 0
0 0 0
10 8
3 0 4
3 0 2
4 3 2
2 2 0
1 3 4
0 2 1
3 1 0
3 1 3
3 3 1
4 3 3
10 8
1 2 2
1 0 0
0 2 1
0 0 0
0 1 1
2 2 2
1 1 2
0 1 0
1 1 1
0 2 2
10 3
0 2 3
0 4 1
4 1 2
4 4 4
2 1 3
4 1 0
2 3 0
2 1 1
0 0 0
4 0 2
10 2
2 1 0
1 2 2
0 1 1
0 2 1
1 2 0
2 2 1
2 0 0
0 1 2
0 0 2
2 0 1
10 2
4 1 2
5 0 4
5 4 0
1 2 5
2 0 2
5 1 2
1 1 0
0 1 5
1 1 2
4 4 3
10 9
2 0 2
0 1 2
0 1 1
0 2 1
1 1 0
2 2 1
1 0 1
0 0 0
1 2 1
2 1 1
10 6
2 0 1
2 2 2
2 1 2
1 2 0
0 2 0
0 1 0
1 2 1
2 2 0
0 1 2
1 2 2
10 8
0 4 2
1 1 0
4 0 1
2 4 2
0 4 1
0 3 4
2 2 1
2 1 2
3 4 0
3 4 2
10 4
5 0 1
1 0 3
5 1 3
0 5 5
2 2 3
1 4 0
5 2 1
4 5 0
4 1 4
2 4 1
10 8
4 2 1
3 1 0
1 1 0
3 2 2
0 2 2
3 3 2
3 4 1
4 1 3
2 0 3
2 3 0
10 6
4 2 5
2 5 4
0 0 3
5 4 0
4 1 2
1 2 3
2 0 3
1 3 5
4 2 2
0 3 2
10 7
5 2 4
3 4 4
0 1 5
5 5 2
4 3 4
5 5 1
0 0 2
0 5 3
5 4 5
2 5 0
10 7
0 0 2
4 2 0
2 1 4
3 0 2
1 0 4
0 3 0
3 0 1
0 1 0
0 3 3
1 1 2
10 3
3 3 2
3 2 3
2 4 4
0 2 3
0 2 2
0 0 0
1 2 4
2 3 1
2 4 1
4 4 1
10 3
2 1 1
3 2 2
3 1 2
0 3 3
0 0 2
2 3 1
1 2 1
2 2 3
0 1 1
1 1 3
10 3
2 1 1
1 2 2
0 1 2
1 1 0
2 2 2
2 0 2
0 2 2
1 2 0
0 0 2
1 0 1
10 5
0 3 3
3 2 0
1 1 0
2 1 2
2 3 2
1 2 0
3 3 2
2 0 2
3 0 2
2 1 0
10 7
2 1 1
2 3 0
0 3 1
1 0 0
3 0 3
2 3 2
1 2 3
0 2 3
0 0 2
1 3 0
10 8
2 4 1
4 2 4
0 0 1
4 4 1
2 2 4
0 3 4
0 4 3
1 3 2
1 0 3
2 2 0
10 3
0 1 4
4 1 0
3 2 4
2 3 2
2 0 1
1 0 2
0 2 2
3 0 0
3 0 4
2 3 3
10 7
1 0 2
1 1 2
2 0 0
0 2 2
0 0 1
1 1 0
1 0 1
0 2 1
2 0 1
2 2 1
10 4
1 2 2
1 2 0
1 0 0
1 1 1
0 1 0
2 1 1
1 2 1
2 0 1
1 1 0
2 2 1
10 7
0 0 1
1 0 2
2 2 0
0 1 1
2 0 0
1 2 0
1 2 1
1 1 2
2 0 1
2 0 2
10 6
2 3 3
5 2 0
4 4 4
3 5 5
1 0 0
0 2 2
0 1 5
3 0 3
4 1 2
3 0 1
10 2
2 0 3
3 1 0
0 0 2
1 3 3
1 3 0
0 2 2
0 2 3
3 2 0
0 1 3
1 2 2
10 3
0 1 0
1 1 3
2 1 3
0 3 0
3 3 3
2 3 0
0 3 3
3 3 2
0 2 1
2 2 3
10 8
0 0 0
0 1 1
2 0 0
2 2 1
1 2 1
0 0 2
1 2 0
2 0 1
1 0 1
2 2 2
10 6
1 1 1
0 3 0
3 0 0
1 3 0
2 3 2
1 3 1
3 0 3
1 0 1
0 2 0
1 3 2
10 8
3 2 4
0 2 1
0 1 3
3 1 0
0 4 0
0 0 3
4 3 4
2 0 2
1 1 3
0 0 4
10 3
2 2 0
1 2 0
1 0 2
0 1 0
1 0 0
1 0 1
0 2 2
0 1 2
0 2 0
2 0 2
10 9
1 0 0
0 1 1
1 1 1
2 1 1
0 2 1
1 0 2
2 2 1
2 1 0
1 2 1
0 0 2
10 9
5 4 3
3 3 1
2 5 5
4 4 5
3 5 5
1 2 2
5 0 2
2 2 1
5 2 0
3 0 2
10 4
3 3 5
5 0 0
3 2 0
4 1 5
2 4 4
5 3 4
4 4 1
1 5 0
4 2 4
4 5 2
10 2
3 3 1
3 3 2
3 3 0
0 3 2
1 3 0
1 0 0
0 3 1
2 2 3
2 3 0
1 2 3
10 9
1 2 4
2 1 0
2 2 4
0 3 2
0 3 1
3 0 4
0 0 2
3 0 0
0 4 2
4 4 0
10 9
0 0 2
0 0 0
1 0 0
1 1 0
0 2 1
1 2 1
2 1 2
2 2 1
1 0 1
0 1 0
10 2
3 0 2
3 2 1
1 1 3
3 2 3
0 1 0
3 0 0
0 3 0
3 2 2
1 2 0
2 3 0
10 4
0 2 1
2 1 1
0 0 0
2 0 1
0 0 1
1 2 0
0 0 2
0 1 1
2 0 2
2 2 0
10 5
1 1 0
3 0 4
3 4 0
3 3 1
0 2 3
3 4 2
0 0 5
3 1 5
2 0 1
5 3 0
10 8
1 0 0
0 2 2
1 2 1
2 1 0
2 1 2
1 1 0
0 2 1
2 2 1
0 0 0
1 0 1
10 4
1 4 3
1 3 1
4 3 4
4 4 0
0 3 0
1 1 2
3 3 0
4 1 0
3 2 3
1 1 4
10 5
3 2 3
0 3 4
4 1 4
4 1 2
0 0 0
4 0 0
0 1 1
4 2 3
3 0 0
2 2 0
10 4
2 3 4
5 1 5
5 0 0
5 4 1
3 2 3
5 3 2
0 2 2
4 4 1
1 1 5
4 2 3
10 2
2 0 3
3 3 1
1 0 3
2 3 3
0 0 0
2 1 2
1 1 3
2 2 2
3 3 2
1 0 0
10 7
3 4 4
1 3 0
5 4 5
3 3 4
0 3 3
3 4 0
2 2 0
2 4 5
0 4 5
1 3 2
10 8
0 1 0
0 0 1
2 0 1
2 2 2
1 1 2
1 0 1
1 1 0
0 1 1
2 0 0
0 1 2
10 5
0 0 0
1 3 3
3 3 0
2 4 0
2 1 0
2 4 4
2 0 1
0 4 4
3 0 3
1 4 2
10 3
0 0 2
3 0 3
2 1 2
1 2 1
3 0 1
0 0 3
3 3 3
2 1 0
1 0 0
3 2 3
10 4
3 4 1
3 1 5
4 2 4
3 3 4
3 5 2
2 4 0
3 2 2
1 1 2
1 0 0
3 3 2
10 4
0 3 2
3 3 3
0 3 3
1 0 0
2 3 0
3 0 3
3 0 0
1 1 1
3 2 2
1 0 3
10 7
2 2 2
0 0 2
0 2 0
2 2 1
2 1 2
0 0 0
1 2 1
0 1 0
0 2 2
1 0 2
10 6
4 0 5
1 4 1
3 1 3
0 3 0
0 0 1
5 2 5
1 4 4
4 5 2
3 4 4
1 2 5
10 4
0 2 2
2 2 2
2 1 1
0 0 2
1 0 0
2 2 0
1 2 1
1 1 0
2 1 2
1 1 2
10 2
1 1 1
1 4 5
2 2 3
0 2 2
5 0 5
4 3 0
0 0 5
3 1 4
3 5 3
1 0 4
10 9
1 1 2
4 4 2
3 1 2
4 1 3
4 2 1
1 3 1
3 3 3
4 3 0
2 0 2
4 4 1
10 4
2 1 2
0 0 0
2 0 1
0 2 0
0 1 2
1 0 0
1 2 1
0 2 1
0 0 1
1 0 1
10 4
3 3 2
0 3 2
3 2 2
3 0 0
2 0 3
0 1 1
2 1 1
2 1 2
4 2 1
3 1 1
10 3
0 4 3
3 5 3
3 5 5
0 4 4
2 0 5
4 2 5
2 1 3
1 2 1
2 4 4
1 2 0
10 7
0 0 2
0 0 0
0 1 2
2 1 1
2 2 1
2 2 0
1 1 0
2 0 0
1 2 1
2 0 1
10 5
5 3 4
3 3 4
0 0 0
0 1 4
4 5 0
5 5 2
3 4 4
4 3 3
0 2 0
0 3 3
10 6
1 2 0
2 0 1
0 2 1
1 1 2
0 2 2
2 1 2
2 1 0
2 0 2
0 1 1
0 1 2
10 4
0 1 1
0 0 0
2 0 2
1 1 2
0 0 2
0 0 1
1 0 2
0 2 2
1 0 0
2 0 0
10 7
2 0 2
1 0 1
2 0 0
1 1 0
0 1 0
0 2 0
1 1 1
1 0 2
2 2 1
1 2 2
10 9
4 0 0
5 5 4
4 4 2
2 0 1
0 5 4
1 2 0
5 1 0
2 5 4
3 5 2
5 1 1
10 8
0 1 3
1 2 1
3 0 0
2 1 1
1 0 3
0 0 2
2 3 1
1 1 0
1 2 3
2 0 2
10 6
3 2 3
3 2 1
0 2 2
1 2 3
2 2 0
2 2 3
1 1 0
0 3 0
0 1 0
3 3 1
10 4
1 2 1
0 1 2
0 1 0
3 3 4
3 1 2
4 0 1
4 0 3
4 1 2
3 4 4
3 4 0
10 5
0 1 1
5 2 5
0 5 4
1 2 5
4 3 4
5 1 0
1 3 3
4 2 1
2 2 5
5 1 5
10 3
1 0 2
2 2 1
1 1 1
2 0 1
0 2 2
0 1 1
0 1 2
2 2 0
2 1 0
1 0 1
10 5
0 0 1
1 1 1
2 1 1
2 0 1
2 0 2
2 1 0
1 2 1
1 1 2
1 2 0
0 1 1
10 8
4 3 1
4 0 2
1 1 4
1 2 4
1 2 0
2 4 2
1 3 3
3 4 2
0 3 1
0 0 2
10 9
2 3 3
5 4 4
2 1 4
1 0 1
5 0 2
4 2 4
0 3 1
0 3 5
1 2 2
1 0 5
10 7
1 3 4
4 4 3
5 0 1
1 1 2
3 5 3
5 4 4
0 2 2
1 4 2
3 5 0
3 4 5
10 4
2 1 2
1 2 2
1 0 1
0 1 1
0 2 1
1 2 1
0 0 2
0 1 0
1 0 2
2 0 2
10 2
0 1 2
1 2 0
0 0 0
2 0 0
0 0 2
2 2 2
0 1 1
2 2 0
0 2 1
0 1 0
10 8
2 3 4
5 0 5
4 1 2
4 4 4
0 1 2
3 5 0
2 5 1
5 5 1
2 5 0
4 1 5
10 5
2 1 2
0 1 2
1 1 1
2 1 1
0 1 0
1 1 2
0 2 1
2 2 1
2 2 0
2 0 1
10 6
3 2 1
3 1 0
0 3 2
2 2 0
1 1 0
2 0 0
3 2 2
3 0 2
0 3 0
2 2 2
10 4
0 1 5
5 3 5
1 0 4
0 2 3
1 4 0
0 5 0
0 0 2
2 3 2
3 1 1
1 5 0
10 5
3 4 0
0 0 0
1 1 4
0 2 4
0 0 3
2 2 0
3 1 0
4 1 4
4 2 2
4 4 0
10 3
1 3 0
3 0 3
2 0 0
3 3 3
1 2 1
2 3 3
1 1 1
1 2 0
0 1 3
1 2 2
10 9
3 4 0
4 3 5
2 1 4
1 0 5
3 1 4
5 5 4
2 4 4
1 2 1
3 0 1
3 1 3
10 6
3 2 3
1 0 4
3 3 3
2 1 1
1 0 2
1 1 3
3 3 1
0 4 2
0 3 0
1 4 1
10 5
0 3 3
3 0 3
0 2 2
4 1 2
3 1 4
2 0 3
4 4 0
3 2 1
0 0 3
0 0 0
10 4
0 2 2
2 2 2
0 0 0
2 2 0
2 2 1
2 0 2
0 1 1
2 1 2
1 1 1
0 0 2
10 4
5 5 5
2 5 4
0 4 3
3 0 5
1 5 2
2 5 1
0 5 3
3 5 4
5 1 2
4 5 5
10 5
3 5 0
3 2 0
3 3 2
1 3 3
5 3 4
3 4 4
1 0 5
5 4 2
4 3 3
1 5 4
10 3
3 4 0
3 5 4
4 5 5
5 5 1
3 4 2
5 1 3
3 2 4
2 1 4
4 5 3
3 0 5
10 8
1 1 3
3 2 2
2 4 3
2 2 2
3 2 1
4 1 1
2 1 1
4 4 0
0 1 1
3 0 1
10 2
2 0 2
5 0 5
3 4 3
0 5 1
4 5 4
4 3 4
4 3 3
1 1 2
4 0 4
4 1 2
10 4
0 5 4
1 5 1
5 1 1
1 4 1
3 5 0
2 1 1
3 1 2
1 1 2
2 2 2
0 2 3
10 8
0 1 1
3 3 1
3 0 1
3 3 2
0 0 2
1 3 1
3 1 3
3 0 3
0 2 3
0 0 0
10 2
0 5 4
4 3 4
1 3 5
1 2 1
4 5 5
4 3 2
1 4 5
3 4 2
3 3 3
0 2 5
10 6
3 0 5
1 5 1
0 4 2
5 5 2
3 5 5
3 1 2
1 5 5
2 0 2
1 5 3
2 4 3
10 4
4 3 1
4 2 0
4 4 1
0 2 2
1 0 1
0 0 3
3 0 1
4 3 0
2 3 1
3 2 2
10 6
2 0 2
0 1 1
2 0 0
2 1 0
2 2 0
1 1 0
1 0 2
1 1 1
2 2 1
0 2 2
10 9
2 0 2
2 0 1
0 3 1
0 0 0
2 1 1
2 3 0
3 1 3
1 1 1
2 0 0
3 0 2
10 2
0 2 2
2 0 2
0 0 0
0 0 1
2 0 1
2 1 2
2 2 1
1 0 2
0 2 1
1 2 2
10 5
2 1 1
2 2 0
1 2 2
1 1 1
1 2 1
2 1 0
1 1 2
1 2 0
1 0 1
0 1 2
10 9
0 3 4
3 2 3
0 0 1
2 1 3
3 3 1
3 3 0
4 1 2
3 1 0
2 0 2
2 0 0
10 2
1 2 4
1 2 2
3 0 1
3 2 4
0 3 4
3 3 0
0 3 1
0 0 1
4 2 3
1 0 1
10 6
2 4 2
1 5 5
5 4 1
4 4 3
2 3 3
1 1 4
1 4 3
3 2 1
0 0 4
2 3 0
10 4
1 0 2
2 1 0
0 2 1
2 3 3
0 1 0
2 1 1
1 3 1
1 2 0
2 3 1
1 3 3
10 2
0 1 0
1 0 1
1 0 3
3 2 1
2 1 1
1 2 0
1 2 3
0 3 2
3 2 3
3 1 2
10 7
0 3 3
1 2 2
0 0 2
3 0 1
4 4 1
0 3 0
2 4 4
0 3 4
3 4 3
2 1 3
10 6
1 2 2
0 1 1
0 2 3
2 1 1
2 3 2
3 0 2
0 0 3
2 1 2
1 3 3
0 3 2
10 3
2 2 0
0 0 0
2 0 2
2 1 0
2 1 1
1 1 2
1 0 0
0 2 2
2 0 1
0 2 1
10 8
1 1 2
1 0 1
0 0 1
2 1 2
1 1 0
2 0 0
2 2 1
2 0 1
1 0 0
1 0 2
10 9
3 2 1
1 3 2
2 3 0
2 0 2
2 3 2
0 1 2
2 2 0
1 2 2
1 3 1
3 0 0
10 8
2 4 0
0 0 2
2 3 3
4 1 1
1 1 0
0 2 1
4 2 2
4 4 3
3 4 1
1 0 4
10 2
3 0 0
0 0 3
2 1 0
1 0 3
2 3 3
0 1 0
1 2 2
2 0 0
2 0 3
0 3 1
10 6
2 5 5
4 5 4
2 2 5
2 3 5
4 5 2
2 5 4
2 4 4
2 3 2
3 4 4
0 5 5
10 9
0 0 0
1 2 0
1 1 0
2 1 2
0 1 0
0 1 2
2 1 1
2 0 2
2 0 0
2 0 1
10 3
1 0 0
0 0 1
2 2 1
2 1 2
2 0 0
1 1 0
2 0 1
0 1 0
2 1 1
1 0 1
10 2
0 2 3
0 1 1
0 2 0
1 1 0
3 1 2
2 2 1
3 0 0
1 2 1
3 2 1
2 3 3
10 8
0 2 0
1 2 2
2 1 0
2 1 2
2 0 1
1 1 0
1 1 2
0 2 2
2 1 1
2 2 0
10 7
1 0 2
3 3 4
4 1 2
1 0 4
1 2 0
1 0 0
4 2 0
4 2 3
3 4 0
2 3 4
10 3
0 1 0
1 2 2
2 3 3
1 3 0
3 2 3
3 1 3
2 0 0
1 3 3
3 1 1
3 3 1
10 8
2 1 0
1 0 2
2 2 0
0 1 0
2 2 1
2 2 2
1 2 1
1 1 1
0 1 2
2 0 2
10 6
1 1 0
1 1 1
2 0 1
1 3 1
0 1 3
3 2 3
2 1 0
3 1 1
3 2 1
0 0 1
10 4
1 1 2
1 0 2
1 0 0
2 2 0
0 2 1
1 2 2
2 2 2
0 2 0
0 2 2
0 1 2
10 9
3 2 0
3 1 4
4 1 2
2 2 2
1 3 4
4 4 1
0 1 4
3 1 3
4 3 4
2 4 3
10 6
0 0 0
3 0 3
0 2 0
1 2 2
3 2 1
0 2 3
3 1 3
2 3 2
2 0 0
2 1 0
10 2
1 2 0
0 1 1
3 5 3
5 0 3
4 0 2
4 1 0
5 0 1
2 5 3
5 2 2
2 4 2
10 5
2 5 4
3 5 4
5 2 1
5 2 3
2 1 3
5 4 3
3 1 0
3 3 1
4 5 3
0 0 5
10 4
0 0 2
2 0 0
2 0 1
2 0 2
0 1 1
0 0 0
0 2 0
2 1 1
1 2 1
0 1 0
10 7
1 0 1
0 2 0
2 0 0
0 1 2
1 1 0
1 0 0
0 1 1
2 1 0
1 2 1
1 0 2
10 8
0 2 2
2 2 3
2 0 2
1 1 3
1 3 3
2 3 2
0 0 3
3 0 2
0 1 0
0 0 1
10 9
1 3 0
0 3 4
2 2 1
1 4 2
4 2 4
3 2 3
0 0 2
3 1 0
0 1 4
2 3 4
10 6
4 4 0
0 2 4
0 1 2
0 0 1
0 1 0
1 1 4
0 2 1
1 4 0
0 1 1
0 3 1
10 3
0 3 4
4 1 0
4 0 3
1 1 1
0 3 0
2 4 4
0 0 4
0 1 3
4 0 1
3 2 3
10 5
0 1 0
2 0 0
0 1 1
1 0 2
0 0 1
2 2 2
1 2 0
2 0 2
1 0 1
2 2 0
10 8
2 0 0
1 2 2
1 1 0
1 1 1
3 1 2
0 2 0
1 0 3
2 3 3
3 2 2
3 2 0
10 5
1 2 1
1 2 2
2 1 0
0 1 1
2 0 2
0 2 2
1 2 0
2 0 0
0 1 0
0 0 0
10 7
1 0 0
4 4 0
1 2 2
0 3 0
1 2 1
4 1 1
0 0 3
4 0 1
2 3 2
3 1 1
10 2
2 2 1
2 0 2
1 0 3
1 2 3
3 2 1
0 0 2
1 0 0
2 0 3
0 2 1
3 1 1
10 7
1 1 2
0 1 2
1 1 1
0 1 1
1 2 2
1 1 0
0 1 0
0 2 2
2 2 2
1 0 0
10 4
1 0 5
1 2 1
4 4 0
5 0 4
0 4 0
3 1 0
3 4 0
0 0 4
1 5 3
1 1 2
10 7
5 5 4
4 1 5
3 2 5
1 4 0
0 2 4
4 2 2
2 2 4
2 0 3
1 2 1
5 4 3
10 2
2 2 3
2 3 2
3 3 1
2 1 0
1 2 1
1 1 1
2 1 3
0 1 0
3 2 1
3 0 2
10 2
1 0 2
2 0 1
2 0 0
2 1 1
0 1 2
0 0 0
0 1 0
1 1 1
1 2 0
0 0 1
10 3
1 2 3
0 3 0
1 1 2
0 2 4
0 3 1
3 1 2
3 2 1
0 4 3
4 3 2
2 3 1
10 7
1 1 2
4 2 4
5 0 0
1 4 1
4 0 0
4 5 5
1 1 4
0 4 1
1 0 3
0 4 5
10 7
0 2 1
0 3 3
0 3 0
5 2 1
3 5 3
3 5 1
1 1 5
2 5 1
2 0 0
1 0 5
10 9
1 2 0
1 0 1
2 1 1
2 1 2
0 2 0
1 1 2
1 2 2
0 1 1
2 1 0
1 1 0
10 9
1 1 0
3 0 3
2 2 1
3 2 0
0 2 2
2 3 1
1 0 0
3 3 0
0 0 3
2 0 2
10 4
1 4 1
2 4 0
2 3 2
3 3 1
4 2 0
1 3 4
3 3 3
3 4 1
1 1 2
0 1 2
10 3
4 1 1
0 2 1
4 4 1
3 0 1
0 3 4
2 2 4
2 3 2
0 0 2
3 1 1
4 3 3
10 8
4 0 2
2 4 0
1 3 1
0 1 3
4 4 3
2 1 2
1 4 4
4 0 3
3 0 3
3 3 3
10 9
2 5 5
3 5 4
4 0 4
0 1 4
2 3 4
2 1 0
0 5 4
2 3 2
4 0 2
1 0 0
10 8
0 2 4
1 2 3
3 1 4
3 2 1
2 2 0
4 2 1
3 2 2
0 3 4
0 0 1
4 4 2
10 5
1 1 1
1 1 2
1 1 0
2 1 1
1 2 2
1 0 1
2 0 1
0 0 2
0 2 1
1 0 2
10 3
2 0 0
0 2 0
0 0 0
2 1 2
0 2 1
1 1 2
2 2 1
2 1 0
1 2 1
2 0 1
10 2
2 3 3
3 0 3
0 1 3
4 0 1
0 3 3
0 4 4
0 2 3
4 1 0
4 2 3
4 4 4
10 2
0 2 4
3 1 3
4 1 2
2 3 3
2 4 5
5 0 2
1 4 3
0 2 5
4 3 3
4 4 2
10 3
0 2 2
0 2 1
0 0 2
2 0 2
1 1 2
0 1 1
2 1 1
2 0 0
2 2 1
1 0 1
10 2
3 1 1
2 2 2
1 0 1
1 3 3
0 1 2
2 1 0
2 0 0
2 0 2
0 3 0
3 2 0
10 5
2 3 0
1 2 4
5 2 5
1 1 1
0 1 0
0 3 5
5 3 0
0 1 5
0 2 0
0 1 2
10 9
2 2 2
2 2 3
2 0 0
0 1 2
1 2 0
2 3 3
1 3 3
2 3 1
1 2 1
2 0 3
10 9
2 2 4
2 3 2
4 3 3
2 4 0
3 1 2
4 4 0
1 1 3
2 2 1
4 3 4
0 1 2
10 7
3 3 1
5 3 0
5 1 2
0 2 2
2 3 5
0 1 1
4 5 4
0 0 5
3 1 3
1 3 3
10 4
3 0 0
0 0 1
3 2 0
1 4 4
1 0 0
4 2 3
4 1 0
0 3 0
2 0 2
4 3 4
10 6
1 1 3
1 3 0
0 2 0
0 3 0
3 0 3
3 1 0
0 2 2
2 0 0
1 0 2
2 0 3
10 6
3 1 4
1 4 0
2 5 0
3 5 3
1 2 1
1 1 4
5 2 2
2 4 2
3 4 2
3 4 0
10 2
1 1 2
3 5 0
3 2 1
0 3 0
2 2 5
2 4 4
5 2 0
4 0 5
2 4 3
5 5 3
10 7
2 4 2
4 1 4
5 1 2
0 1 1
0 0 1
5 1 3
3 3 4
3 4 3
0 5 3
1 0 3
10 8
3 0 0
3 1 3
1 0 3
1 2 0
1 2 1
2 2 2
1 3 2
1 1 0
0 3 3
2 0 3
10 8
1 0 0
1 5 2
5 3 5
3 1 1
4 4 0
2 5 3
0 2 4
3 2 1
0 4 5
0 1 5
10 3
1 0 2
2 1 2
3 2 0
2 1 1
1 3 2
1 0 3
0 0 0
3 0 1
3 3 2
0 1 2
10 8
4 4 0
1 2 3
4 4 4
2 0 1
0 0 3
0 2 1
3 3 1
2 0 4
2 0 0
2 3 0
10 4
2 4 4
2 4 2
4 1 1
0 2 0
1 3 3
2 2 0
0 1 2
1 4 3
3 0 2
4 1 4
10 5
2 4 4
0 0 2
0 1 2
0 0 3
3 1 4
4 3 1
0 4 0
1 3 1
2 0 3
0 1 3
10 8
3 2 0
1 3 2
1 3 1
1 0 1
0 3 2
1 2 0
3 2 2
2 2 3
1 1 3
0 2 2
10 5
0 2 2
2 0 0
1 0 0
1 2 0
0 1 2
0 2 1
1 1 0
2 0 2
2 2 2
0 2 0
10 6
3 5 0
4 5 1
4 4 1
1 1 1
2 2 0
5 1 0
1 4 5
4 2 2
2 4 5
1 2 5
10 6
4 5 3
3 1 0
3 2 4
4 5 1
5 3 5
1 4 5
5 4 5
3 4 1
1 2 1
0 2 1
10 7
2 0 1
3 2 1
3 1 0
0 3 0
3 0 0
1 1 0
0 0 0
0 2 2
0 1 3
0 0 3
10 9
0 2 1
4 2 2
4 4 0
4 3 4
1 2 3
0 0 0
1 0 2
0 2 3
1 2 2
4 4 3
10 7
4 0 4
1 3 3
2 0 2
2 0 4
4 3 0
2 2 0
4 3 3
4 1 1
1 0 1
2 2 3
10 8
1 2 1
1 1 0
1 0 2
0 1 0
2 0 0
0 1 2
0 1 1
1 2 2
2 1 0
2 2 0
10 5
0 0 4
0 3 0
1 4 2
0 2 4
3 4 2
3 1 1
2 0 2
2 1 1
3 0 4
1 4 1
10 5
2 1 0
1 2 0
2 0 0
1 1 1
2 0 2
1 0 0
0 2 2
1 0 1
2 1 2
1 0 2
10 6
1 1 2
0 1 0
2 2 2
2 0 0
2 0 2
2 2 0
2 1 1
0 2 2
0 1 1
1 2 2
10 5
5 2 2
2 3 1
5 0 0
3 4 3
5 2 5
5 5 1
1 5 0
0 4 2
0 0 1
1 5 4
10 8
1 3 3
2 3 0
3 0 2
0 1 3
1 0 0
2 0 1
1 3 0
3 3 2
2 3 3
0 2 2
10 6
2 2 3
0 2 0
2 0 2
3 0 3
2 3 0
3 2 1
3 1 2
0 3 0
1 1 1
3 2 2
10 3
2 1 0
0 0 2
0 1 1
1 2 0
2 0 0
2 2 2
0 2 2
0 0 1
1 0 2
0 2 1
10 8
1 3 0
1 0 2
2 3 1
3 1 2
3 0 1
0 1 1
2 1 2
3 2 3
3 2 1
1 2 3
10 7
1 1 1
5 0 3
4 0 1
0 1 4
3 3 0
4 1 4
1 5 5
0 2 4
3 1 3
1 4 1
10 8
2 1 2
1 1 0
1 3 3
2 3 2
0 0 1
3 4 3
0 3 3
3 3 1
4 0 2
1 2 1
10 8
2 2 1
0 2 3
0 3 3
0 0 2
3 2 2
1 2 3
3 1 3
1 1 0
0 3 1
2 1 2
10 7
2 0 1
2 2 0
0 1 0
2 1 0
0 1 2
2 0 0
2 2 2
0 2 1
0 0 0
0 0 2
10 7
3 3 3
3 5 0
0 2 5
0 0 3
4 2 5
4 2 0
3 0 4
3 0 2
0 2 0
0 4 1
10 6
1 2 3
1 3 2
1 0 2
3 3 2
3 2 2
2 0 2
0 1 0
3 1 0
2 0 3
3 2 0
10 3
2 1 3
3 5 4
2 1 0
5 1 0
0 4 0
5 5 3
4 0 5
1 1 4
2 3 5
2 4 2
10 4
0 2 0
2 2 0
2 2 1
1 2 2
2 0 0
0 1 1
1 1 0
1 1 2
1 1 1
0 1 2
10 5
0 1 0
0 2 3
1 3 3
0 3 2
1 3 2
0 2 2
2 0 1
3 2 2
3 1 3
1 3 0
10 6
1 1 3
3 4 2
1 2 4
2 3 2
4 0 4
3 1 1
4 1 4
1 0 4
2 0 3
1 4 1
10 6
1 5 5
2 1 0
1 5 2
2 2 2
0 1 3
1 3 0
3 2 0
2 5 5
5 5 3
4 3 1
10 9
3 3 1
4 3 2
3 4 3
1 0 2
4 1 2
1 2 3
2 0 3
1 3 3
3 3 2
3 3 4
10 8
3 2 4
3 3 3
0 2 3
2 4 1
1 3 0
0 1 3
2 0 4
4 3 3
0 4 0
4 3 2
10 3
0 1 2
1 2 2
1 1 2
2 0 1
2 2 2
1 1 0
2 0 0
2 2 1
1 2 0
1 0 2
10 8
2 5 5
3 0 3
5 0 4
2 3 5
1 0 2
4 3 5
3 3 1
1 1 2
2 4 3
1 2 1
10 8
1 3 1
1 4 3
0 2 3
2 3 3
0 1 0
1 0 4
1 0 0
4 4 2
3 3 4
0 1 3
10 5
2 3 0
3 3 0
2 2 2
2 1 1
1 1 1
3 1 0
1 1 0
3 3 2
1 2 0
2 0 0
10 6
5 1 5
3 2 0
0 5 4
0 5 2
3 3 3
0 5 1
4 2 3
1 5 4
4 5 3
4 4 4
10 4
5 0 0
0 2 3
2 4 0
3 5 0
4 4 2
2 1 5
2 0 3
3 3 1
5 2 4
4 4 5
10 9
2 0 0
1 2 1
2 2 2
1 1 2
0 0 1
2 0 1
0 1 2
0 1 0
0 0 0
0 2 0
10 6
1 0 3
3 4 4
4 0 2
3 5 3
4 0 0
1 3 4
0 5 0
4 4 2
2 3 4
1 5 0
10 6
3 3 3
2 3 2
0 4 2
2 4 3
4 0 1
3 4 4
0 3 1
4 3 2
4 2 2
1 4 0
10 8
2 4 3
0 4 2
1 2 1
0 3 4
4 1 3
2 2 2
4 3 2
4 1 2
0 3 3
2 4 1
10 7
0 2 1
1 4 2
1 3 2
3 2 0
0 0 0
2 4 0
2 2 4
4 1 3
4 0 3
2 3 1
10 2
0 0 0
2 1 2
2 2 0
1 0 1
0 2 1
2 1 1
1 2 2
1 1 1
1 2 0
2 0 1
10 9
1 3 4
3 0 3
2 0 0
4 2 5
3 1 3
3 2 4
4 3 0
1 1 5
5 4 4
2 2 3
10 8
1 3 0
0 1 3
2 3 0
3 0 0
2 2 2
1 1 1
0 0 3
1 2 1
0 3 3
3 3 3
10 7
0 0 0
2 0 0
0 0 2
0 1 0
2 0 2
1 2 0
0 2 1
1 1 1
2 0 1
2 2 0
10 7
2 3 3
0 2 3
1 3 1
3 3 1
1 3 3
2 2 0
3 0 2
0 3 1
0 0 0
0 3 3
10 3
3 1 1
0 0 1
0 1 1
2 0 2
3 0 1
1 0 1
2 2 2
0 2 0
1 3 0
3 3 3
10 8
0 2 0
2 2 2
2 1 0
0 1 2
1 1 2
1 2 0
0 2 1
2 2 0
0 1 1
0 0 1
10 4
1 3 4
4 1 1
3 2 1
4 3 1
1 3 2
0 3 4
3 3 3
1 0 4
3 1 0
2 4 2
10 7
3 2 0
3 0 0
3 3 2
1 2 2
3 2 2
0 1 3
3 0 1
1 0 1
0 3 2
1 3 1
10 4
1 2 1
1 0 1
1 1 1
1 0 2
2 2 0
0 0 2
0 1 0
1 0 0
1 1 0
0 1 1
10 2
0 1 2
0 0 1
0 1 1
0 3 3
2 2 0
2 3 1
1 3 3
1 2 2
3 1 0
1 3 2
10 5
0 4 2
2 4 1
3 3 4
4 1 3
3 1 0
0 2 1
4 3 1
0 4 0
1 4 1
2 3 2
10 3
1 4 3
4 1 2
3 2 3
4 0 4
0 1 3
2 3 1
1 0 4
2 2 4
4 4 2
0 3 4
10 3
2 0 1
0 0 2
2 2 2
1 0 1
0 2 2
2 2 1
2 1 1
0 1 0
1 1 2
0 1 1
10 6
2 2 1
0 1 0
2 2 0
0 0 0
0 2 0
2 0 2
1 2 1
1 1 2
2 2 2
2 1 0
10 9
1 3 0
0 0 3
0 4 3
1 4 0
2 1 3
4 0 0
0 2 4
2 3 3
3 3 1
3 4 4
10 2
4 3 2
5 5 1
3 5 1
5 2 4
4 3 5
1 2 2
4 3 3
0 4 4
1 1 4
2 4 1
10 4
4 0 0
1 1 0
5 3 0
1 1 5
3 4 3
0 0 5
3 4 4
0 1 4
2 5 0
1 1 4
10 7
4 1 3
2 4 3
0 4 2
1 0 0
1 2 3
1 1 2
4 4 2
2 4 4
1 1 0
0 0 2
10 6
0 1 0
1 2 2
0 0 2
2 2 0
1 1 2
1 1 1
2 2 2
1 0 2
1 0 0
0 1 1
10 5
2 2 1
0 2 1
0 5 1
4 3 1
4 5 5
5 1 2
0 3 5
5 4 3
1 0 2
0 4 1
10 7
4 1 4
4 2 1
2 3 1
3 4 4
0 1 3
2 1 4
4 3 3
0 1 1
0 3 0
1 4 0
10 2
1 0 4
5 2 1
1 4 2
2 5 0
4 1 2
2 0 3
4 5 5
0 4 5
5 0 4
0 4 4
10 2
4 3 1
4 4 1
3 2 2
2 4 3
2 4 2
1 1 3
3 0 1
3 2 4
4 2 1
4 1 4
10 4
2 3 3
2 2 2
0 1 0
3 1 2
0 0 3
2 1 1
0 2 1
0 3 2
3 2 1
2 1 2
10 9
3 3 3
3 2 3
3 4 3
4 1 3
2 3 3
3 0 0
4 0 0
2 4 4
3 3 0
2 2 3
10 6
1 2 2
1 1 0
2 0 0
2 2 1
0 2 2
1 0 2
1 0 1
2 1 0
0 2 1
2 2 0
10 6
0 2 0
4 3 3
2 4 4
2 2 3
4 3 0
0 3 1
0 1 1
0 4 2
2 4 0
2 1 1
10 8
2 1 2
0 3 2
1 4 2
1 0 5
5 4 3
1 0 0
2 1 5
3 3 2
2 0 4
0 1 3
10 9
1 2 2
1 1 1
1 0 1
2 1 0
2 0 0
1 1 0
2 2 0
2 1 2
1 2 0
1 2 1
10 8
4 3 3
4 0 2
0 3 1
2 1 4
2 3 3
0 0 1
4 4 3
1 4 0
2 0 0
3 2 3
10 8
3 0 0
0 1 0
0 0 1
1 3 3
0 0 0
0 2 3
0 2 2
2 2 2
1 1 3
2 3 2
10 2
2 2 1
1 0 2
1 0 1
1 1 1
2 2 0
1 1 2
0 0 1
2 2 2
1 2 0
1 2 2
10 4
1 1 2
0 1 2
0 0 2
1 1 0
0 0 1
2 0 0
2 1 2
0 2 1
1 2 0
1 0 0
10 2
3 4 3
3 1 2
1 3 4
2 0 0
0 3 1
1 1 0
1 4 1
3 0 2
1 0 4
1 2 3
10 2
2 1 2
2 0 2
0 0 0
0 2 1
1 0 0
1 0 1
1 1 1
0 2 2
0 1 1
1 1 0
10 4
1 2 0
0 1 1
1 0 0
0 0 2
2 1 2
2 0 0
1 0 2
1 2 2
2 0 1
2 0 2
10 4
1 1 2
0 1 0
0 1 1
2 1 0
2 1 1
1 1 1
2 1 2
2 2 0
1 2 1
2 0 1
10 7
0 2 0
0 1 3
2 0 3
3 1 2
2 3 0
3 2 2
0 0 2
2 1 1
2 3 3
2 2 0
10 4
3 3 0
2 1 0
4 4 1
1 1 2
3 0 3
3 1 3
1 2 1
1 3 2
3 1 4
1 4 2
10 5
1 0 3
3 1 5
1 3 4
0 4 0
0 1 1
0 3 5
3 5 2
2 0 5
4 0 1
5 4 5
10 5
0 2 1
2 1 2
0 0 1
2 1 1
2 2 0
0 1 2
2 0 0
0 1 0
0 0 0
0 1 1
10 5
1 2 3
3 0 2
2 1 3
1 0 0
0 3 3
2 0 3
0 0 3
1 3 2
3 1 1
3 2 3
10 5
1 3 3
2 4 2
2 3 0
2 0 1
0 4 1
1 3 0
2 4 4
2 1 2
4 2 2
1 4 4
10 9
0 2 0
1 2 1
1 1 1
1 0 2
1 0 1
1 1 2
0 0 0
0 1 2
2 0 1
0 0 2
10 2
1 2 0
0 2 2
0 0 2
0 1 0
0 1 1
1 0 2
0 2 0
2 2 2
1 1 1
0 0 0
10 3
2 2 0
0 2 0
2 0 0
1 0 0
1 1 0
2 1 0
1 2 1
0 2 2
0 2 1
1 0 2
10 4
1 2 0
0 0 1
2 1 0
2 2 1
1 1 1
2 0 0
2 2 2
0 2 1
0 2 0
1 1 0
10 6
4 4 1
0 1 1
1 4 2
3 4 1
2 1 4
0 3 4
2 4 2
3 4 4
4 2 3
4 3 4
10 4
0 1 1
3 1 2
0 3 3
3 0 2
2 2 0
2 2 3
0 0 3
0 1 3
0 2 2
3 0 3
10 3
3 4 2
0 1 3
3 0 3
1 2 0
4 4 4
0 1 4
4 4 1
4 3 2
1 1 3
1 3 4
10 4
1 2 1
1 0 2
1 0 1
2 1 2
1 1 2
0 1 0
2 0 2
2 1 1
1 2 0
0 1 2
10 6
0 2 0
0 4 1
4 2 2
3 3 4
3 2 0
0 4 2
0 3 3
1 3 3
4 2 1
2 4 3
10 6
4 5 0
0 4 5
2 0 0
1 1 5
4 3 5
1 2 2
2 2 4
2 5 4
2 0 5
3 2 2
10 7
0 0 1
0 2 2
1 1 1
1 0 2
0 0 2
1 2 1
0 1 2
1 2 2
2 1 1
2 2 0
10 9
1 3 5
4 4 5
1 5 5
5 4 4
2 4 0
3 4 3
2 3 5
3 0 1
0 2 0
0 4 4
10 2
3 0 0
0 0 1
1 0 0
2 1 0
0 2 3
1 0 1
2 1 3
2 0 0
1 1 1
3 0 1
10 7
3 0 4
3 4 4
4 2 3
4 4 2
0 1 0
0 0 0
0 3 4
3 4 2
3 0 1
0 0 1
10 5
3 1 2
3 2 0
0 4 3
2 3 2
4 2 4
1 0 4
4 3 0
1 2 2
2 0 0
2 4 4
10 7
3 4 3
4 2 2
1 4 4
1 2 1
4 0 3
0 1 0
0 3 3
0 3 1
2 2 3
3 1 4
10 7
0 0 1
2 0 2
2 1 1
1 2 0
0 1 0
0 1 2
2 2 1
1 1 1
2 0 0
2 1 2
10 9
0 1 5
3 4 2
0 2 4
1 2 3
3 0 5
1 0 3
4 5 1
1 4 5
4 1 3
4 4 1
10 2
2 0 1
2 1 0
0 0 1
0 2 2
1 1 1
2 0 0
1 2 2
1 0 2
1 1 2
2 2 0
10 4
3 1 0
2 3 1
3 2 3
2 1 1
0 2 2
1 1 1
3 3 0
0 0 0
0 1 1
3 0 1
10 9
1 2 1
1 0 1
0 2 0
2 2 1
0 2 2
0 0 1
2 0 1
0 1 0
0 0 2
2 0 2
10 9
4 3 4
1 4 3
0 4 1
0 0 2
1 3 1
2 1 2
0 2 0
3 0 3
4 0 2
3 2 0
10 8
3 3 0
1 1 1
3 2 3
2 0 2
2 2 0
3 1 0
2 1 1
2 2 2
1 3 0
3 2 2
10 5
5 4 4
4 3 4
5 1 1
2 1 3
2 5 0
5 2 2
3 4 1
4 0 1
3 5 4
0 2 5
10 3
1 3 3
3 2 2
0 2 0
0 3 3
3 1 3
2 0 2
2 0 3
0 0 1
0 2 2
0 0 2
10 7
1 1 2
3 5 4
3 4 3
2 5 0
2 3 5
0 5 2
5 1 0
0 5 3
0 0 2
4 1 4
10 7
0 3 2
0 1 4
4 4 2
1 0 4
0 2 2
1 4 1
1 4 2
2 3 3
4 4 1
3 2 3
10 8
1 4 3
4 0 1
1 2 4
4 3 3
2 0 0
3 3 3
1 0 0
2 0 3
1 0 2
2 0 4
10 5
2 2 3
1 0 2
4 4 4
4 1 4
4 3 2
4 4 0
0 4 1
0 3 0
4 2 1
4 0 1
10 4
4 2 1
1 4 3
2 0 1
1 2 3
1 4 0
0 1 3
1 2 0
3 4 2
0 2 2
1 3 0
10 4
0 0 0
4 4 0
2 3 0
4 4 1
4 3 2
0 1 3
4 3 3
2 2 0
2 1 3
0 4 0
10 3
0 3 4
4 2 5
1 1 3
1 3 5
1 0 5
0 5 5
4 4 4
3 1 3
3 0 1
1 3 4
10 2
2 1 3
3 0 3
3 1 2
2 0 1
0 0 2
0 0 3
0 1 0
2 1 0
3 1 0
3 0 2
10 7
0 1 0
2 0 2
1 1 2
1 0 0
0 2 0
0 2 1
2 2 1
0 1 2
2 2 0
1 2 2
10 7
2 1 2
1 0 3
1 1 0
1 1 3
1 3 3
1 3 1
2 0 1
2 2 3
0 2 1
0 3 1
10 6
2 4 1
1 0 3
1 4 2
2 1 2
1 2 4
1 4 1
4 3 1
1 4 4
4 1 0
2 0 1
10 8
2 1 2
1 0 1
0 0 1
1 0 0
1 1 0
2 1 0
0 2 0
1 2 1
1 2 2
1 2 0
10 9
0 1 0
1 2 2
2 1 0
2 2 0
1 2 0
1 1 1
2 2 1
1 1 2
0 2 0
1 2 1
10 4
0 2 2
0 0 2
2 1 2
0 0 0
1 2 0
0 1 2
2 2 2
2 0 0
0 0 1
0 2 0
10 4
0 4 1
2 2 4
2 0 3
0 1 3
4 0 3
1 4 4
0 0 2
2 0 2
1 3 0
3 3 4
10 3
0 2 2
4 1 4
4 4 4
3 0 4
3 1 3
0 3 0
1 3 2
1 4 0
3 2 1
0 2 0
10 8
1 2 2
1 4 4
0 1 1
1 4 3
3 2 3
0 2 2
3 0 0
1 1 0
2 2 3
2 2 0
10 5
3 2 3
1 1 2
3 1 0
0 2 0
1 2 2
3 3 2
2 0 0
1 0 1
3 0 1
3 0 3
10 3
3 2 2
3 2 3
1 3 1
1 2 0
1 3 2
3 1 2
3 0 3
1 0 3
2 3 1
1 1 3
10 6
0 2 1
2 1 4
2 1 5
0 2 2
4 0 4
4 2 2
0 1 4
3 1 2
5 1 4
3 4 2
10 6
4 3 0
4 0 4
1 5 1
2 4 0
2 0 0
0 0 5
0 3 4
2 2 2
3 0 5
5 1 2
10 8
1 1 0
1 1 2
3 0 3
2 2 3
1 2 3
2 3 0
2 2 2
2 2 0
1 3 1
1 2 1
10 7
4 0 5
3 5 5
0 0 4
0 0 3
0 5 2
2 3 1
1 4 4
5 1 0
2 4 3
0 1 5
10 7
2 0 3
1 5 5
3 0 5
1 1 1
1 1 5
5 4 0
5 2 2
5 3 0
2 0 2
4 1 3
10 2
1 1 2
2 0 1
0 0 0
3 1 3
2 1 3
3 1 1
3 2 3
2 1 0
2 2 3
2 2 1
10 2
0 0 3
1 3 2
2 0 3
1 1 1
3 0 2
2 3 2
3 0 3
1 2 2
1 0 2
2 2 1
10 5
2 2 2
3 2 3
0 1 2
0 1 0
2 1 0
2 0 0
0 3 2
1 0 2
0 3 3
3 2 0
10 9
2 0 0
1 1 1
1 2 2
2 0 2
0 2 1
2 1 0
0 1 1
2 1 1
0 2 2
1 0 2
10 5
2 2 2
2 0 1
2 1 0
1 1 0
0 2 2
2 0 0
2 0 2
0 2 1
2 2 0
0 1 2
10 5
3 3 1
3 2 0
2 4 0
0 3 1
3 1 0
1 1 0
0 0 0
3 4 3
4 3 3
0 4 1
10 2
0 3 3
3 1 0
2 3 2
4 1 1
4 2 2
3 1 3
3 1 2
3 4 4
4 3 3
4 3 4
10 8
2 0 1
1 2 0
2 2 2
1 1 0
0 2 0
0 1 2
0 0 2
1 2 2
0 1 0
1 0 2
10 9
1 0 3
0 1 2
1 3 0
1 0 0
3 3 0
0 2 2
1 0 1
2 1 1
3 0 0
2 2 1
10 9
2 5 2
2 4 4
2 2 3
4 5 4
3 0 4
2 2 0
2 5 0
3 4 1
2 1 2
1 1 5
10 2
3 2 2
3 1 3
0 2 2
1 0 0
0 0 1
2 1 2
0 1 2
2 2 2
0 1 3
3 2 1
10 3
0 3 3
1 2 1
3 1 1
0 1 0
0 1 2
1 0 2
0 2 3
1 3 2
2 1 1
3 3 2
10 9
0 1 0
1 0 0
1 1 0
0 2 0
1 2 2
1 1 1
0 2 1
2 1 2
1 0 1
1 1 2
10 5
2 1 2
1 0 1
2 1 1
1 0 2
1 1 1
2 0 1
0 2 1
0 0 0
1 0 0
0 0 2
10 5
4 2 3
1 3 0
2 2 2
1 1 2
0 4 4
4 4 4
3 3 2
2 3 4
4 1 0
3 3 3
10 2
1 2 2
0 0 1
1 1 0
1 1 2
2 1 1
2 1 0
2 2 2
2 2 1
1 2 1
1 2 0
10 5
4 3 5
0 5 5
4 2 3
2 1 5
1 3 5
1 2 4
2 0 1
1 5 1
1 0 2
5 3 1
10 3
3 4 1
2 3 4
4 3 3
3 2 2
3 2 4
1 2 3
2 1 4
3 1 4
1 3 4
4 0 3
10 5
2 1 3
0 4 0
0 2 1
2 1 4
3 2 4
3 3 2
2 4 1
3 0 0
3 3 3
2 2 4
10 7
2 1 0
1 1 2
2 2 2
0 0 2
0 2 1
1 2 2
0 1 1
0 1 2
1 0 1
1 1 1
10 6
2 2 0
0 2 1
1 1 2
1 1 0
0 1 2
1 2 2
1 0 2
2 0 1
1 2 1
2 0 0
10 2
4 1 4
4 2 3
2 2 0
0 3 2
5 1 4
4 5 3
2 4 1
0 2 2
3 4 3
4 4 1
10 2
0 0 1
2 3 2
2 0 3
0 2 2
2 3 3
3 3 1
1 2 1
0 3 2
2 2 1
2 0 1
10 8
0 0 2
3 2 1
1 0 1
2 2 1
0 1 1
1 2 0
1 3 2
2 3 1
0 3 2
2 1 0
10 8
4 1 3
5 1 5
4 5 3
0 2 2
0 5 4
4 2 0
3 4 0
3 1 3
0 1 1
2 0 2
10 5
3 3 1
2 3 2
1 3 0
3 2 1
2 1 3
3 3 2
2 0 2
1 0 2
2 2 1
2 1 2
10 7
1 2 2
1 0 1
0 1 1
2 2 0
0 0 2
1 0 0
1 2 0
2 1 0
0 0 1
2 2 1
10 5
0 2 5
2 5 2
5 3 1
5 2 1
2 2 0
5 0 5
1 1 0
1 5 2
1 1 3
0 3 4
10 6
3 0 3
0 0 3
1 3 2
2 3 2
2 0 3
3 0 2
0 3 0
3 1 0
0 2 0
1 3 0
10 2
3 0 3
2 0 1
2 1 3
0 1 0
1 2 3
1 1 1
0 3 1
2 1 2
2 1 0
3 3 1
10 8
2 2 2
1 2 2
1 0 2
0 3 3
2 1 1
0 1 3
3 2 1
0 3 0
3 2 3
3 2 2
10 6
1 2 2
0 3 0
1 1 0
3 0 1
0 2 2
3 0 3
1 1 1
3 1 2
3 3 2
1 0 0
10 6
2 1 0
1 1 1
1 0 0
0 1 1
3 1 1
3 3 3
3 2 2
1 1 0
3 2 0
0 3 2
10 2
2 2 1
2 1 1
0 2 2
0 1 2
0 0 2
2 0 2
0 2 0
2 2 0
1 0 1
2 1 2
10 9
0 2 0
2 1 0
2 2 2
3 0 2
0 1 3
0 2 1
2 3 0
3 0 0
1 1 2
0 3 0
10 4
2 1 2
0 0 1
2 0 1
1 0 2
2 2 2
1 1 0
0 2 0
1 0 1
0 1 0
2 0 2
10 5
1 2 0
3 3 2
0 2 3
1 3 2
0 1 2
2 0 0
3 0 0
1 0 0
0 3 1
0 0 3
10 7
2 1 0
2 1 1
0 1 1
2 2 2
0 2 0
0 2 1
2 0 1
1 2 2
1 2 0
2 0 2
10 9
3 1 2
2 2 2
5 3 4
1 2 2
2 0 5
2 4 4
3 0 2
1 1 5
5 1 4
0 5 5
10 2
0 1 0
1 2 2
0 2 1
2 0 2
1 1 1
0 2 0
1 0 2
0 0 0
1 0 1
2 0 1
10 8
2 2 0
3 3 1
2 0 0
2 3 3
0 2 1
1 3 3
1 1 0
2 0 3
1 0 2
2 2 1
10 4
0 0 0
5 5 4
5 5 1
3 5 5
0 5 2
2 2 2
3 4 2
5 3 3
2 2 1
3 1 1
10 7
3 3 4
0 1 0
2 0 2
2 0 0
3 2 3
2 2 4
3 1 0
1 0 2
3 4 3
4 3 1
10 4
0 1 2
2 3 3
0 3 3
1 2 1
2 2 3
2 1 1
2 3 2
2 3 1
2 1 3
0 0 0
10 8
0 3 1
2 4 4
2 0 2
3 1 2
3 1 4
2 3 4
4 2 1
1 1 4
2 1 4
0 0 0
10 9
3 5 3
1 1 5
1 5 0
1 1 0
0 3 1
4 3 2
5 0 1
5 2 2
0 3 5
3 2 1
10 4
0 2 2
3 1 2
1 1 3
1 3 0
2 2 1
0 0 3
0 1 1
3 3 0
0 3 2
1 2 2
10 4
2 0 2
1 0 2
0 0 0
2 1 0
1 0 0
0 1 2
0 1 1
1 0 1
0 0 2
2 2 2
10 3
4 1 1
3 0 1
4 3 3
1 0 3
3 1 0
4 3 2
1 1 3
3 2 1
0 1 4
4 2 3
10 4
4 3 0
3 4 2
0 4 0
1 0 3
1 4 0
0 3 3
3 3 1
3 1 4
1 1 3
0 3 2
10 4
1 1 2
2 2 0
0 0 1
2 2 2
1 2 1
1 0 0
0 1 2
0 2 1
0 1 0
2 2 1
10 6
0 1 3
0 2 2
3 3 2
0 0 0
2 0 2
3 2 0
2 1 3
3 2 1
3 0 1
1 1 1
10 8
3 2 0
1 0 0
2 0 1
0 3 2
1 1 2
1 0 2
2 3 1
3 0 2
0 1 1
2 2 3
10 5
1 1 0
1 2 1
0 1 1
2 2 2
1 1 1
2 0 0
0 0 1
1 2 2
1 2 0
0 1 2
10 9
1 2 2
2 2 1
1 1 1
0 1 0
2 2 2
0 0 0
1 1 2
1 0 1
2 1 2
1 2 0
10 6
4 2 1
4 1 3
0 4 1
1 3 0
3 0 2
0 1 1
0 4 0
0 4 2
3 1 3
1 4 1
10 3
1 2 3
1 3 3
2 0 2
3 2 1
2 3 4
3 4 1
3 4 4
3 1 4
0 1 1
2 2 2
10 9
2 0 0
1 0 0
0 0 2
2 2 1
0 1 2
2 1 0
2 2 0
0 2 2
1 0 1
2 1 2
10 8
3 3 3
4 1 1
3 1 1
3 4 0
0 2 3
4 2 3
3 3 2
3 2 3
1 0 0
0 1 0
10 7
1 0 2
2 0 2
2 2 1
1 1 2
2 1 1
2 2 2
2 0 0
2 1 0
0 0 0
1 2 0
10 4
2 0 0
0 1 3
3 1 3
0 0 3
2 3 2
2 1 1
1 1 0
0 1 1
1 2 0
2 2 3
10 5
4 2 4
3 3 2
2 4 2
2 2 3
2 3 2
2 1 2
4 4 2
2 3 0
1 2 4
3 3 0
10 2
3 3 0
3 0 2
3 2 3
2 3 0
0 1 2
0 0 1
3 3 3
3 0 1
0 1 0
2 2 0
10 8
3 0 2
0 2 0
0 3 3
0 3 2
1 3 3
0 2 3
3 3 2
1 2 3
3 3 3
1 0 3
10 4
3 0 2
1 4 1
3 5 4
2 1 1
3 1 3
4 2 1
0 0 1
4 5 2
5 0 3
0 0 0
10 2
1 3 2
3 2 0
2 2 0
0 3 2
1 3 1
2 1 3
1 2 3
0 2 0
3 1 0
1 0 2
10 5
0 1 2
0 0 3
4 0 4
5 3 5
0 5 2
0 4 0
3 2 2
1 3 2
5 2 5
2 4 4
10 7
2 2 0
0 3 1
0 0 2
3 2 0
3 0 0
1 3 2
3 0 1
2 2 3
0 1 2
3 0 3
10 6
2 2 2
1 0 1
1 2 2
1 1 2
2 1 2
2 1 0
2 2 1
2 1 1
1 0 2
0 2 2
10 3
2 0 1
0 0 0
2 1 1
1 1 0
1 2 1
1 1 2
2 0 0
1 0 1
0 2 2
0 1 0
10 9
1 0 1
2 1 1
0 1 1
0 0 1
2 1 0
0 1 2
1 2 1
1 1 2
0 2 1
2 0 2
10 4
2 1 4
3 0 2
4 2 0
2 2 2
2 4 4
4 3 1
1 0 0
1 3 1
2 0 1
1 1 3
10 4
1 0 0
0 2 0
1 0 2
0 1 2
0 1 1
1 1 1
1 0 1
2 2 0
1 2 1
2 2 2
10 7
5 1 1
5 2 3
5 5 5
2 0 5
5 0 2
2 4 2
2 0 0
2 5 4
3 5 5
3 1 3
10 2
1 0 2
0 2 3
3 2 4
4 0 0
0 1 0
3 3 3
2 0 2
1 2 4
1 4 3
4 0 4
10 3
3 1 3
3 3 3
3 3 0
2 3 3
2 2 2
3 0 3
2 3 1
3 1 0
1 2 2
0 2 2
10 9
0 3 0
1 4 1
1 0 3
3 3 3
4 2 0
4 3 1
2 1 3
1 3 1
3 1 0
3 3 1
10 7
2 1 1
0 3 1
0 0 2
3 1 3
4 1 3
0 2 0
0 1 3
1 2 3
3 4 2
1 1 2
10 3
2 1 3
0 3 2
0 2 3
2 3 0
1 3 3
2 0 2
0 3 0
1 1 3
0 1 0
3 3 3
10 4
1 2 1
2 2 2
2 0 2
0 0 0
0 1 1
1 0 0
0 2 2
1 2 2
2 2 1
2 2 0
10 4
0 0 2
0 2 2
0 2 0
2 2 0
1 1 0
1 2 1
1 0 0
2 1 1
2 2 1
2 1 2
10 6
1 0 3
2 2 4
1 3 1
4 2 0
0 2 5
1 1 0
2 3 5
2 4 1
1 0 5
2 4 2
10 3
3 1 4
4 3 4
1 0 3
5 3 3
1 1 2
4 5 0
0 0 1
0 5 1
5 4 2
2 1 1
10 6
0 1 3
1 3 0
2 0 0
2 0 1
0 2 4
4 2 2
3 4 3
3 4 0
4 3 1
1 4 4
10 3
1 2 0
1 0 0
0 2 2
1 1 0
1 0 1
2 1 1
2 2 2
1 2 1
2 0 0
1 1 1
10 4
0 3 0
2 0 0
1 3 2
3 3 0
2 0 1
1 2 0
1 2 2
0 0 2
3 0 0
1 2 1
10 7
0 1 2
2 0 2
2 2 0
1 3 0
2 2 3
2 2 1
0 0 2
1 3 2
1 1 1
1 2 0
10 7
0 1 0
0 0 2
1 0 2
2 3 2
0 0 1
3 3 0
3 2 1
0 2 3
3 1 3
2 1 2
10 5
1 2 0
0 2 1
1 1 1
2 2 1
0 0 2
1 0 1
0 2 2
2 1 1
0 0 1
0 0 0
10 7
2 3 1
2 3 2
1 0 1
4 3 3
0 1 2
0 4 0
4 1 0
0 3 3
3 2 2
0 4 2
10 2
1 0 4
1 3 3
2 0 1
3 2 3
1 0 0
0 3 4
2 3 4
1 2 1
3 0 2
1 3 0
10 3
1 3 2
1 2 1
0 4 1
3 0 1
3 4 1
4 2 2
3 4 2
4 2 4
1 0 3
1 2 4
10 7
1 4 0
3 4 0
2 3 2
0 2 1
3 4 3
2 1 4
4 3 1
0 1 4
0 0 0
1 4 4
10 3
1 3 3
2 3 1
3 2 2
0 3 0
1 2 1
0 0 2
0 1 2
0 1 0
3 1 0
2 0 1
10 2
1 1 2
2 0 1
0 2 1
2 0 0
0 0 2
2 2 1
1 2 0
0 2 0
1 1 1
2 1 2
10 7
1 0 2
0 3 3
2 3 2
2 1 1
2 0 3
2 0 2
0 3 2
3 3 2
2 0 0
3 0 0
10 7
2 4 2
0 4 4
4 0 4
0 4 0
4 3 2
2 2 2
4 3 1
2 4 4
3 0 1
1 4 3
10 9
5 4 2
0 4 2
1 1 4
2 1 3
2 0 1
1 2 2
5 4 1
2 3 4
5 1 2
3 2 0
10 8
3 4 1
3 0 1
4 4 2
0 1 1
5 5 2
4 3 0
2 0 0
3 4 3
5 4 2
5 0 0
10 3
2 2 3
2 2 4
0 2 1
0 1 4
0 2 3
1 2 1
3 3 1
4 3 4
4 2 3
0 3 3
10 7
5 1 5
2 3 2
4 2 0
1 4 0
2 5 2
5 5 1
4 0 4
5 3 2
3 1 4
0 0 1
10 6
2 2 0
0 2 0
0 1 0
1 0 1
2 0 0
0 0 1
2 1 2
1 0 0
0 1 1
0 0 2
10 9
1 0 1
1 0 0
2 2 1
1 0 2
2 1 2
0 2 2
0 0 1
0 1 2
2 2 0
0 0 2
10 8
3 1 0
4 1 4
0 4 3
2 0 2
1 2 2
3 2 1
3 0 3
2 4 4
1 2 3
1 0 3
10 6
2 2 4
3 4 0
1 1 2
1 0 1
0 2 1
2 1 0
2 0 2
3 0 2
4 2 0
2 2 3
10 9
2 2 4
2 3 0
0 1 5
1 2 0
3 4 4
5 5 5
4 3 5
5 3 0
2 5 0
5 4 5
10 4
0 1 0
2 2 2
0 1 2
2 0 0
2 1 1
1 1 1
2 2 1
1 0 0
0 1 1
2 1 2
10 7
2 1 2
1 1 2
1 2 0
1 1 1
0 2 0
0 0 0
2 0 2
1 2 1
1 2 2
0 0 1
10 8
5 0 4
0 2 4
4 4 5
3 1 5
3 1 4
4 1 5
0 1 3
4 2 1
4 1 2
5 0 2
10 3
0 2 1
2 1 2
0 0 2
0 1 1
2 1 0
2 1 1
0 1 2
1 1 2
2 0 0
1 0 2
10 6
2 0 2
2 1 1
0 2 2
2 2 0
2 1 2
0 1 1
0 1 0
1 1 1
0 1 2
1 1 2
10 8
3 3 0
0 3 0
0 1 0
0 1 1
2 2 0
3 1 2
1 1 1
3 3 3
1 1 3
1 2 2
10 7
2 0 2
2 4 4
3 2 0
1 0 3
3 2 1
3 2 4
4 4 3
4 4 0
0 1 0
0 1 4
10 5
1 2 4
4 3 0
2 1 4
1 4 4
0 2 1
3 2 0
1 1 2
4 2 1
0 0 3
3 3 3
10 3
1 3 1
1 1 3
3 3 3
3 0 2
0 1 2
1 2 2
1 2 1
0 0 1
2 2 2
0 0 3
10 5
3 1 5
5 5 5
2 3 2
1 2 2
0 1 4
5 4 3
2 4 5
1 2 3
1 2 1
4 4 3
10 6
1 2 0
2 2 3
1 2 3
3 1 0
1 2 1
1 0 0
2 0 2
3 2 1
3 1 1
2 1 2
10 7
2 0 1
3 5 3
2 5 2
1 2 5
5 0 5
1 0 2
3 5 4
3 2 4
3 4 1
0 2 4
10 2
1 2 2
0 2 2
2 2 0
0 1 2
0 2 0
1 0 2
2 1 2
0 1 0
2 2 2
2 0 1
10 9
3 1 2
1 1 3
3 3 0
1 2 3
1 0 2
3 2 1
1 2 0
3 0 0
0 3 2
0 1 2
10 9
0 2 0
2 1 1
1 2 1
2 1 2
0 2 2
1 1 0
2 0 1
2 0 2
0 0 0
0 0 1
10 6
2 4 0
5 4 1
2 3 3
1 4 3
0 2 2
1 2 5
2 4 4
4 2 2
2 2 0
5 1 5
10 4
4 4 5
3 3 5
4 5 4
3 5 0
1 5 0
3 3 4
3 0 4
5 1 3
0 4 2
4 2 1
10 8
2 0 0
0 1 0
1 0 0
2 1 2
1 0 1
1 1 2
2 0 2
1 0 2
0 0 2
0 0 0
10 3
2 5 1
3 3 5
3 0 5
3 1 0
2 1 1
4 4 4
4 5 0
5 2 4
0 0 3
1 3 1
10 8
2 1 1
1 0 0
1 0 1
0 2 0
0 1 0
2 2 2
1 1 1
1 2 1
0 0 1
0 0 0
10 3
2 3 1
4 3 1
0 4 2
3 3 3
1 0 3
2 3 3
4 3 0
0 3 1
4 2 4
4 1 0
10 8
0 1 0
1 1 1
2 1 2
1 2 2
1 0 2
2 2 0
0 0 2
2 1 0
2 0 0
0 2 1
10 2
0 2 2
0 1 2
2 2 1
1 1 1
2 0 2
0 2 1
0 2 0
2 2 2
0 0 2
1 0 0
10 4
1 3 4
2 1 0
4 4 4
1 4 0
4 4 1
1 1 4
4 0 3
2 0 3
0 4 2
0 2 1
10 5
4 0 0
3 3 1
0 1 1
1 3 2
2 2 0
4 3 1
1 1 4
0 0 4
4 2 1
4 3 4
10 6
0 2 0
1 1 1
1 1 2
2 0 1
2 0 2
0 0 2
2 1 0
2 1 1
1 0 2
2 2 2
10 7
3 1 2
1 2 2
1 0 1
3 2 3
1 2 1
3 1 0
2 3 2
0 1 3
0 0 2
2 1 2
10 8
2 1 2
1 2 3
0 1 0
0 0 2
3 3 3
0 3 2
3 1 0
2 1 1
0 1 1
3 3 2
10 3
0 1 4
0 4 0
3 2 1
3 1 0
2 3 0
2 4 4
3 2 0
4 1 4
0 1 3
1 4 0
10 7
0 1 0
0 0 1
1 2 0
1 0 1
2 1 2
2 0 1
1 0 2
0 2 2
2 1 1
0 0 0
10 2
2 0 2
2 1 2
3 1 0
0 0 3
0 1 1
1 0 1
3 0 3
0 1 0
0 3 0
2 0 1
10 8
4 0 2
0 2 0
3 1 4
0 5 1
2 4 5
2 0 1
5 5 5
0 1 4
3 4 1
4 5 1
10 2
4 2 2
0 2 1
3 3 3
4 1 3
4 4 0
3 4 0
3 3 1
1 4 3
0 3 0
0 2 3
10 2
1 1 3
4 4 3
2 3 2
1 4 3
3 4 2
1 4 4
2 2 3
4 0 0
0 3 0
3 1 3
10 5
2 2 2
3 0 0
1 3 3
2 2 3
0 3 3
3 3 1
1 1 2
3 0 2
1 2 2
2 0 2
10 9
2 1 2
0 3 0
2 3 0
1 3 0
2 0 0
3 1 0
1 2 0
0 1 1
3 1 2
2 0 2
10 6
4 2 5
5 5 2
5 3 5
0 3 5
4 5 5
0 3 4
0 4 3
5 1 1
5 3 4
1 4 1
10 8
1 3 3
1 2 3
2 1 1
2 3 0
3 2 2
3 2 0
3 0 1
2 0 0
2 0 2
3 1 2
10 2
2 0 1
0 0 0
1 0 1
1 1 1
0 0 1
1 2 0
1 2 1
0 0 2
1 1 0
2 0 2
10 4
2 1 0
2 2 2
2 0 2
1 1 0
1 2 2
1 2 1
1 1 2
0 0 2
2 1 1
1 0 1
10 5
0 0 1
1 2 1
1 0 2
2 1 2
0 1 1
2 2 1
1 1 2
2 2 0
2 0 0
0 1 0
10 4
1 2 1
2 2 2
2 0 2
2 3 2
0 1 0
2 1 0
3 1 1
2 2 0
3 2 2
2 3 3
10 5
2 0 0
4 4 0
2 2 2
3 1 2
0 3 3
0 1 4
2 0 1
4 4 3
1 1 3
3 2 3
10 6
2 2 2
1 2 0
0 0 2
1 0 2
0 2 2
2 1 1
2 0 2
1 0 0
2 1 0
1 0 1
10 2
4 3 5
5 2 2
3 4 4
0 1 1
2 2 0
3 2 3
2 1 3
0 2 1
5 4 3
5 5 3
10 5
1 2 0
2 4 2
2 1 2
4 4 1
4 4 0
1 0 1
4 0 4
0 0 1
3 1 3
2 2 1
10 5
1 2 0
1 0 1
2 0 2
0 0 2
2 2 0
0 0 0
0 2 1
0 2 0
0 0 1
0 1 2
10 4
1 2 0
1 1 3
2 3 0
3 0 3
4 1 0
1 0 4
2 3 2
3 1 1
1 4 4
0 1 3
10 6
3 1 1
1 3 0
0 1 3
2 1 1
2 2 3
3 3 3
1 2 2
3 2 3
0 3 3
1 1 2
10 9
3 3 0
2 0 3
2 3 0
0 0 2
2 1 1
3 0 0
0 1 2
0 2 1
1 1 1
0 0 1
10 9
0 4 5
3 0 2
5 1 1
0 1 5
5 5 3
0 3 2
0 2 5
0 5 1
0 0 0
3 5 0
10 5
1 1 2
0 0 1
2 2 1
0 2 1
1 1 1
2 0 1
0 2 2
0 1 2
1 0 1
0 2 0
10 9
3 1 2
1 1 0
2 2 1
3 3 3
3 0 2
2 2 2
0 0 3
1 0 3
3 2 3
3 0 1
10 3
1 1 5
1 0 2
3 2 4
3 2 1
5 2 0
0 4 3
0 5 0
3 3 1
5 1 5
4 0 0
10 6
1 2 5
2 4 3
1 0 5
5 1 4
2 3 2
0 1 1
4 1 4
4 4 0
4 0 3
4 3 3
10 6
1 1 2
2 1 0
2 2 1
2 1 1
0 0 2
2 1 2
1 1 0
1 0 2
2 2 2
2 0 2
10 9
0 2 1
2 2 0
0 0 1
2 2 2
0 2 0
2 1 0
0 0 0
0 0 2
1 0 2
2 1 1
10 9
2 2 0
1 0 2
0 2 1
1 2 2
0 1 2
0 1 0
0 2 2
1 2 0
2 0 2
0 1 1
10 4
0 2 1
2 1 2
0 0 1
1 1 2
0 1 2
2 1 1
0 0 0
2 0 2
1 1 1
1 0 1
10 8
2 0 2
2 1 4
3 3 4
4 2 1
1 1 0
2 2 1
0 1 3
1 0 4
2 4 1
0 2 0
10 3
4 1 4
1 4 1
4 0 2
5 5 3
0 5 3
3 4 2
0 5 4
5 2 3
4 4 1
5 0 3
10 6
1 3 1
3 4 0
1 3 3
0 0 1
4 3 3
0 3 2
2 1 2
1 2 1
3 1 4
3 1 0
10 6
5 2 1
0 1 1
5 2 2
0 3 5
3 5 5
1 4 2
5 1 3
5 1 4
0 2 3
3 4 3
10 3
0 2 2
2 3 0
0 0 3
1 1 2
1 2 0
3 3 3
1 1 0
2 2 0
2 2 1
2 0 2
10 7
2 2 1
2 1 4
0 1 3
4 2 4
3 2 0
3 3 4
1 2 2
0 4 0
3 1 0
0 3 0
10 2
1 1 1
2 0 1
0 1 2
1 2 1
1 1 0
0 1 0
0 2 2
1 0 2
1 2 0
2 2 2
10 5
3 0 4
0 4 1
1 3 0
4 0 3
1 3 3
0 4 2
0 0 4
4 4 1
1 2 3
4 3 2
10 8
3 4 1
2 1 0
1 1 0
3 2 4
2 4 3
0 3 0
0 0 3
1 1 1
3 0 2
1 2 4
10 6
3 1 0
3 1 1
3 2 1
2 1 1
3 2 0
0 0 0
2 0 0
1 3 3
2 1 2
1 1 1
10 2
5 4 0
3 4 3
1 3 3
0 3 0
4 5 1
5 1 2
2 4 5
4 0 0
0 1 0
5 3 1
10 5
5 0 4
1 3 3
3 5 5
4 4 5
0 2 4
0 5 0
3 3 5
3 3 1
4 1 3
3 5 3
10 8
2 0 1
2 2 1
1 0 2
2 0 0
0 0 1
1 1 0
2 1 1
0 1 0
1 0 0
0 2 0
10 5
2 0 2
1 1 2
2 1 2
1 0 0
1 0 2
0 0 1
1 1 1
1 2 0
2 2 0
0 0 2
10 7
1 1 1
1 2 2
0 1 2
1 1 2
3 1 0
2 0 3
2 0 0
0 0 1
0 2 0
3 0 2
10 3
3 4 2
4 5 2
0 4 5
2 4 3
2 3 1
3 5 1
5 4 2
1 5 5
5 2 3
1 4 3
10 6
3 0 3
2 3 2
0 4 4
2 4 0
4 1 2
4 5 3
2 2 5
2 0 5
0 1 5
5 5 4
10 3
1 3 3
0 2 1
2 3 2
3 0 1
1 0 1
0 0 2
0 1 0
0 1 2
0 1 1
0 2 2
10 5
4 2 5
5 5 5
2 0 1
2 4 3
4 2 4
0 2 3
5 5 2
2 4 0
5 3 2
0 4 4
10 8
2 3 2
4 3 3
3 1 2
2 0 3
4 2 2
4 0 0
3 1 0
2 0 0
1 0 1
0 2 3
10 2
1 1 1
3 1 0
3 3 3
2 0 0
0 1 1
1 0 1
0 0 2
3 2 2
3 3 0
0 3 3
10 9
1 0 4
1 3 4
3 4 4
1 2 5
4 1 3
5 4 4
1 5 0
4 3 0
4 5 5
4 5 4
10 7
1 0 1
1 2 2
2 1 0
0 1 1
0 1 2
2 0 2
1 2 1
2 2 2
0 0 2
1 1 1
10 3
1 0 2
4 0 4
4 5 1
1 3 4
5 3 1
1 3 2
4 3 0
1 1 4
3 4 5
1 1 0
10 8
0 2 1
2 1 0
0 0 2
1 1 1
1 2 0
1 1 2
2 0 1
2 2 0
1 2 1
2 0 2
10 8
1 1 2
2 1 3
2 2 3
2 3 3
0 3 2
2 3 0
1 0 1
0 2 3
1 1 3
2 2 1
10 4
2 3 2
2 0 1
1 3 2
0 2 2
2 1 1
0 3 1
1 2 2
0 2 1
3 0 1
1 0 3
10 6
4 1 4
4 3 2
2 0 2
3 1 0
4 3 1
2 2 1
2 3 4
1 2 4
0 1 0
3 2 2
10 3
1 0 0
0 0 2
2 1 1
2 0 2
0 2 1
1 2 1
2 1 2
2 2 1
2 1 0
0 1 2
10 7
1 1 2
4 5 2
2 1 0
2 2 3
0 3 0
4 2 4
5 5 4
3 3 1
5 2 1
4 0 2
10 5
2 2 0
0 1 1
2 1 2
0 0 0
2 0 1
1 2 2
2 0 0
0 1 0
1 0 0
2 2 2
10 7
0 0 1
0 2 2
1 1 1
1 1 2
2 1 2
1 1 0
0 1 2
2 1 1
2 2 2
1 2 2
10 9
0 2 4
1 0 4
4 2 1
0 1 2
1 1 3
3 2 3
1 0 2
4 4 0
2 3 0
2 2 2
10 3
2 0 2
0 0 1
1 1 1
2 4 0
2 1 0
2 3 3
3 4 1
3 4 3
0 3 3
2 4 3
10 6
4 2 1
2 0 4
4 4 0
4 2 4
3 4 4
0 5 4
0 3 4
1 4 1
3 3 2
3 3 3
10 3
1 2 2
1 0 2
2 1 0
0 0 0
1 1 2
2 2 0
2 1 1
1 0 1
0 1 2
0 2 0
10 4
3 3 0
3 1 0
1 1 1
0 0 1
2 3 2
3 0 0
0 3 2
0 1 0
0 3 3
0 1 1
10 5
4 0 1
4 1 1
1 4 1
2 0 3
3 4 1
2 2 4
1 3 4
0 0 3
2 1 4
4 0 3
10 9
0 2 0
0 1 0
0 0 2
0 2 2
2 0 2
1 0 1
2 1 1
0 1 2
0 2 1
1 0 0
10 3
4 0 1
2 3 5
3 5 4
2 2 2
0 1 4
3 5 1
3 2 1
2 5 2
3 4 1
0 3 4
10 6
1 2 0
0 0 0
2 1 2
0 2 0
2 2 2
2 2 1
1 1 1
0 1 1
1 2 1
0 1 0
10 2
2 0 0
1 2 4
3 2 1
4 2 1
4 0 1
4 3 4
1 0 0
0 3 1
3 1 1
4 4 2
10 4
3 1 5
3 1 2
0 2 2
4 3 3
3 2 4
0 0 2
1 4 1
0 4 4
3 0 3
2 0 1
10 7
1 3 0
1 3 2
1 0 0
2 1 2
3 2 3
3 3 3
1 0 1
2 2 2
3 1 0
1 2 3
10 7
4 0 4
3 1 3
0 3 3
3 1 2
0 2 2
2 4 1
1 0 0
0 1 4
0 1 3
2 1 3
10 3
2 3 0
3 3 1
1 3 1
3 3 2
0 3 3
0 3 2
1 1 3
3 0 1
3 1 3
1 3 3
10 3
2 2 0
2 4 0
3 1 3
4 3 0
4 4 2
3 1 1
4 4 1
1 2 4
0 0 1
2 0 2
10 5
2 2 0
1 0 2
2 2 1
2 0 0
0 1 2
2 1 1
1 1 1
2 2 2
0 2 2
2 1 2
10 9
1 2 2
0 3 0
0 1 2
0 1 1
0 2 0
3 3 2
3 0 1
0 2 1
2 3 2
1 1 3
10 5
1 3 1
2 0 0
2 3 3
3 3 0
1 1 1
0 0 0
3 0 3
1 0 2
1 2 3
0 0 2
10 5
2 1 1
1 1 2
1 2 2
2 2 2
0 0 2
1 2 0
1 0 1
1 0 2
2 1 2
1 1 1
10 7
2 4 2
1 3 4
1 5 0
3 1 4
3 4 2
1 2 1
0 3 1
3 2 3
4 3 1
0 1 5
10 7
2 2 0
1 2 0
2 1 1
2 2 1
0 1 1
0 2 1
2 2 2
0 2 2
2 0 0
0 0 1
10 8
2 3 0
1 2 3
0 2 1
3 1 1
3 2 3
2 0 2
1 1 1
3 3 3
1 1 3
2 0 0
10 8
1 0 2
1 1 1
2 1 0
0 1 1
0 0 1
2 2 0
0 0 0
0 2 0
0 2 1
2 0 2
10 8
4 1 3
2 1 4
0 4 0
3 3 0
3 4 0
1 1 4
0 0 4
1 0 4
4 1 4
4 3 3
10 4
4 4 4
0 2 0
4 4 1
0 1 0
1 4 1
4 0 3
1 0 0
4 1 0
0 1 4
1 2 4
10 8
2 4 3
3 3 0
3 4 4
1 2 3
2 3 1
2 3 4
1 0 0
0 0 4
1 1 3
0 0 3
10 2
1 2 0
4 1 1
4 3 1
2 3 1
3 0 0
3 1 3
0 1 3
4 1 3
1 2 2
3 1 1
10 2
2 5 4
1 5 3
5 4 2
4 1 3
0 2 4
1 4 2
5 4 4
2 5 3
0 5 4
3 1 0
10 6
1 1 3
5 2 5
0 3 5
2 4 4
1 0 3
5 4 3
4 3 5
4 3 3
3 5 2
0 1 4
10 2
2 3 4
0 2 5
2 4 0
1 4 0
5 3 4
2 4 5
3 5 0
4 1 5
3 1 5
1 1 5
10 6
3 0 0
0 3 2
3 2 0
0 3 1
1 3 0
1 2 1
0 0 0
2 3 2
1 0 2
3 1 0
10 5
4 3 0
2 2 1
2 2 4
1 0 1
1 3 2
1 2 3
1 1 1
2 4 4
4 0 3
2 3 3
10 6
1 2 1
2 0 1
2 2 0
1 0 0
2 2 2
1 1 2
2 1 1
1 1 0
1 2 0
0 2 1
10 4
4 4 0
0 3 1
1 1 0
3 2 0
4 0 2
0 4 1
3 4 4
4 1 0
0 3 3
3 4 2
10 8
4 4 2
3 0 2
1 5 5
2 1 3
1 1 5
0 4 0
4 4 0
1 4 3
2 1 0
5 4 5
10 5
0 0 2
2 1 0
0 2 2
1 1 3
0 2 3
4 1 0
1 3 2
4 3 2
1 0 3
3 1 0
10 7
2 2 2
1 1 0
1 0 2
1 0 1
0 1 2
0 2 1
2 0 2
0 0 0
2 1 1
0 1 0
10 3
3 3 3
5 1 4
4 0 0
3 4 2
1 0 4
4 1 4
0 3 2
3 1 2
0 0 2
4 1 0
10 4
2 2 2
0 2 0
1 0 0
1 1 1
1 0 1
2 2 1
2 1 0
0 2 1
2 0 2
2 0 0
10 8
1 2 0
0 0 1
2 1 0
2 2 0
1 0 1
0 1 2
0 1 0
2 0 0
2 0 2
0 2 0
10 9
3 1 1
0 1 3
3 1 0
3 2 0
3 0 1
3 0 0
3 3 0
1 3 1
0 3 3
2 3 0
10 7
0 2 0
1 2 3
2 4 4
3 4 4
0 1 2
4 1 0
1 0 0
3 1 1
0 0 0
4 2 0
10 5
2 2 2
3 2 2
3 2 1
3 3 3
3 1 1
1 0 0
2 3 2
0 0 1
3 0 0
0 2 0
10 8
0 1 0
0 0 1
2 1 0
0 2 1
1 2 2
1 1 0
1 0 0
0 2 0
0 1 2
1 0 2
10 2
3 3 1
0 0 3
4 3 1
4 2 2
3 3 4
3 1 4
3 1 1
1 2 3
2 0 1
3 4 3
10 8
0 0 2
0 2 3
2 2 0
1 3 0
0 1 0
2 0 2
2 0 3
0 0 0
0 2 2
2 3 2
10 3
3 1 0
4 0 3
0 3 4
2 4 3
3 1 2
0 4 2
4 3 2
3 0 1
0 2 4
3 4 3
10 9
2 0 3
3 2 3
1 3 5
3 1 0
0 4 2
0 1 4
3 1 4
5 2 5
2 2 5
4 0 0
10 5
2 1 2
0 1 3
3 1 0
3 1 1
3 0 2
0 2 0
2 3 1
1 2 2
0 3 0
1 1 1
10 7
0 2 2
1 2 2
1 1 1
2 2 0
2 0 0
2 1 0
1 1 0
1 0 2
0 2 0
2 0 2
10 3
2 0 1
2 0 2
0 2 0
1 0 0
1 0 1
1 0 2
1 1 1
0 0 2
1 2 2
0 2 2
10 2
1 1 2
0 2 1
0 0 2
2 0 0
2 2 2
2 1 1
1 1 0
0 1 1
0 2 0
2 0 2
10 8
0 1 1
3 2 1
1 0 3
3 0 1
0 0 3
0 3 0
2 0 1
2 2 1
0 3 2
2 3 1
10 5
4 1 0
0 0 3
0 2 1
2 3 4
3 0 1
2 2 0
1 0 2
0 3 0
0 3 3
4 1 1
10 5
1 3 4
3 0 5
4 5 5
5 0 5
4 3 0
5 4 1
3 5 4
2 0 0
1 0 1
4 2 0
10 6
4 1 2
3 1 1
4 2 1
0 4 1
1 0 4
2 1 3
4 1 3
0 3 1
1 4 3
4 3 4
10 4
2 1 2
2 2 1
1 0 2
0 2 1
2 2 2
2 0 1
0 2 0
0 0 0
2 1 1
0 1 2
10 8
2 3 2
1 0 2
4 4 1
2 2 1
4 0 3
4 2 4
3 1 3
4 2 1
2 4 3
0 1 1
10 2
3 2 1
1 1 3
0 0 1
2 0 2
1 2 0
0 1 3
2 1 2
3 0 0
1 3 2
0 3 1
10 2
1 1 2
0 1 0
2 1 2
0 0 1
0 0 0
0 0 2
0 1 1
1 0 0
2 2 1
1 2 2
10 8
0 3 1
3 0 4
3 4 4
3 1 0
4 3 3
1 3 3
4 0 3
0 0 1
2 4 0
2 3 0
10 3
4 1 0
3 4 0
4 1 3
4 4 0
1 4 4
3 1 1
1 4 2
0 1 0
3 1 3
4 1 4
10 7
0 1 0
0 1 1
1 3 0
2 2 1
1 1 3
1 2 2
2 2 3
1 3 1
0 2 1
2 3 3
10 8
2 3 0
3 0 0
1 1 2
0 3 2
0 3 0
3 2 3
0 0 1
2 1 1
3 3 0
2 2 0
10 9
1 3 3
3 2 3
3 3 0
2 2 2
1 0 1
0 1 3
0 1 0
2 1 0
0 1 1
1 1 1
10 8
1 0 1
1 0 0
2 2 1
2 2 0
2 0 1
0 0 0
1 2 0
2 1 1
2 0 0
1 2 1
10 9
3 2 0
0 1 4
0 2 4
2 0 3
1 2 1
3 1 3
4 3 1
0 2 2
0 3 3
2 4 4
10 7
1 2 4
3 1 1
3 2 3
1 1 4
4 0 4
0 3 1
2 3 3
4 2 3
3 1 2
2 1 2
10 3
3 2 0
0 0 5
2 0 0
3 2 2
3 0 2
3 2 4
2 0 3
3 0 4
2 1 1
5 1 1
10 3
3 0 3
0 3 2
1 3 3
3 1 1
0 1 0
1 0 2
1 0 0
0 1 2
3 1 3
2 0 3
10 5
3 3 4
3 0 3
1 0 0
1 1 2
3 1 0
3 4 3
4 0 0
1 3 0
1 1 1
2 0 4
10 9
3 3 3
1 2 3
1 1 1
1 5 3
0 4 4
1 0 0
0 1 1
2 3 0
1 2 2
4 5 2
10 6
2 2 2
2 0 0
1 1 2
1 0 2
0 2 1
1 1 0
2 2 0
2 1 2
2 0 1
0 1 2
10 8
0 1 2
2 2 1
1 1 1
2 0 1
0 1 1
0 0 1
0 2 2
2 1 2
1 1 0
2 0 0
10 8
0 4 2
4 3 3
0 0 4
1 2 3
3 5 2
2 5 2
4 5 2
2 0 5
4 1 1
4 5 1
10 8
1 1 1
1 3 2
1 2 1
0 3 3
3 3 0
3 3 3
0 2 3
0 0 0
0 1 0
3 1 2
10 2
2 2 3
0 2 3
1 3 1
2 1 0
2 2 0
1 0 3
1 3 0
1 2 3
2 1 1
0 0 2
10 4
0 0 0
2 1 1
1 0 1
3 0 2
1 1 0
2 3 0
1 1 3
0 2 1
0 1 0
1 0 2
10 2
2 2 0
2 0 1
2 0 0
2 0 2
2 1 1
1 0 1
2 2 2
1 0 2
2 2 1
1 1 1
10 6
2 2 1
2 0 0
2 2 2
0 1 0
0 2 1
0 2 2
0 0 0
0 0 2
2 2 0
1 0 2
10 6
2 3 2
0 3 2
1 3 1
3 0 1
3 1 2
3 1 3
1 0 3
0 0 0
3 3 1
3 3 2
10 5
3 1 3
2 1 1
3 1 1
0 2 1
2 3 1
0 3 2
1 0 3
0 1 0
3 3 2
3 2 2
10 8
3 1 3
2 2 3
4 4 4
1 4 1
3 2 2
4 4 1
1 1 3
0 4 0
1 0 0
1 1 1
10 4
0 2 3
4 0 0
2 2 4
1 3 0
5 0 5
0 0 4
4 5 3
2 0 3
3 2 2
4 0 1
10 8
2 4 2
5 0 3
5 0 5
2 5 0
5 2 4
3 0 3
1 0 3
0 5 1
5 4 0
0 4 0
10 5
0 3 3
3 0 2
1 0 0
0 2 1
3 0 3
1 3 2
3 2 1
2 1 0
1 1 2
3 2 0
10 8
1 1 1
0 1 1
2 0 1
1 0 2
2 0 0
0 2 2
2 1 0
0 0 0
1 2 0
2 0 2
10 4
1 3 1
4 2 2
0 4 3
2 1 3
1 2 0
3 2 4
3 3 2
2 3 4
4 1 1
4 0 2
10 9
3 1 0
3 3 1
1 2 3
0 0 0
0 2 0
2 3 3
3 1 2
3 3 0
1 3 2
1 0 0
10 5
5 0 3
5 1 3
0 0 4
2 1 0
5 3 0
4 5 2
2 2 0
3 3 2
2 2 4
1 5 4
10 5
3 1 2
1 2 0
2 2 3
1 3 0
3 3 0
0 1 2
0 1 3
3 0 3
2 2 1
1 1 3
10 9
3 2 2
1 1 1
2 2 3
2 1 3
0 1 1
3 1 3
2 0 1
0 3 2
1 0 3
1 2 3
10 8
3 0 2
0 1 4
1 4 4
1 1 4
2 0 2
3 1 0
0 3 4
4 4 1
3 3 2
3 4 4
10 8
1 4 4
4 2 2
1 2 0
0 0 4
3 2 0
0 4 3
0 3 3
4 3 3
0 2 1
3 2 3
10 6
2 0 0
2 2 2
1 0 1
1 2 1
1 1 0
0 0 1
0 0 2
2 1 2
0 1 2
0 2 0
10 8
1 1 1
1 1 2
3 4 3
2 4 2
1 0 2
2 1 3
4 1 0
4 0 4
1 3 0
4 4 4
10 7
0 1 3
5 4 2
2 2 4
0 4 0
1 3 0
2 0 1
0 3 0
5 2 3
3 5 0
2 4 0
10 9
1 0 1
2 2 0
1 4 1
4 4 3
2 3 3
2 0 1
3 3 1
3 1 2
4 0 0
3 0 4
10 7
1 4 0
2 1 2
5 4 2
5 2 0
4 5 3
2 3 0
1 5 1
3 3 2
2 0 0
3 1 2
10 8
2 2 2
0 1 1
2 0 0
2 0 1
1 2 0
0 0 2
0 0 1
1 1 2
0 2 2
0 2 1
10 9
1 2 0
0 0 1
1 1 0
0 0 2
1 0 2
2 2 1
0 2 0
1 2 2
2 1 0
2 2 0
10 5
1 3 2
0 3 2
3 0 1
1 1 2
0 0 2
1 3 1
3 2 0
2 2 3
1 0 0
0 0 3
10 7
1 0 3
0 3 2
3 1 1
3 3 2
3 1 0
2 2 3
3 0 1
2 1 1
1 2 1
3 0 3
10 9
0 0 1
1 2 1
2 0 0
1 0 0
2 2 0
1 0 1
2 2 2
0 0 0
1 1 0
2 0 1
10 5
1 0 2
1 3 4
2 0 1
4 1 1
0 0 1
3 2 4
4 4 1
0 2 4
0 1 4
2 2 2
10 9
3 3 2
3 2 1
3 2 3
0 1 3
1 1 1
0 3 3
2 2 0
0 3 1
0 2 1
3 3 0
10 3
3 2 3
1 3 2
2 1 2
0 3 1
2 1 0
0 0 0
0 2 2
1 2 2
2 3 3
3 1 2
10 2
2 0 0
2 0 1
1 2 2
0 0 0
1 1 0
1 0 1
2 1 0
2 2 2
0 2 0
2 1 2
10 8
2 1 2
2 0 1
4 0 4
1 3 3
2 2 0
4 1 3
1 2 4
2 2 4
4 0 2
1 3 2
10 4
1 2 2
2 2 2
2 0 2
0 0 2
0 1 0
2 1 2
2 2 1
2 1 1
1 1 1
1 1 0
10 5
3 0 3
1 3 2
1 0 1
2 3 2
1 1 0
1 1 1
0 0 1
3 3 1
1 0 2
2 2 2
10 4
2 0 3
1 0 3
2 3 2
0 2 1
3 0 2
0 1 2
3 3 0
2 2 2
1 3 0
0 2 3
10 5
2 3 2
1 2 1
2 1 2
1 2 2
3 0 1
3 2 1
2 3 1
0 0 0
1 3 2
3 3 3
10 9
4 1 1
4 0 4
4 0 0
3 1 1
0 1 0
2 1 2
3 4 4
2 1 0
3 1 4
1 4 2
10 3
3 1 4
0 1 0
3 2 1
4 2 1
2 4 2
0 2 0
1 0 3
2 2 0
4 4 0
2 2 4
10 2
2 1 0
1 2 1
1 3 2
1 2 3
3 1 1
3 1 3
0 3 3
1 0 1
2 0 3
0 1 0
10 3
4 1 3
5 5 4
5 2 3
4 3 1
5 2 4
5 1 5
0 5 4
4 2 2
5 4 1
2 2 2
10 5
2 2 4
3 2 0
2 1 3
4 1 4
4 0 4
2 4 0
4 3 2
2 4 4
2 3 2
0 3 1
10 5
1 5 5
5 2 3
0 5 3
1 2 2
4 1 3
3 4 1
4 1 5
2 0 5
2 4 3
0 3 1
10 6
1 0 2
2 2 0
1 1 1
1 1 0
2 2 1
1 0 0
0 1 0
0 2 0
2 0 2
1 2 1
10 8
1 2 2
2 0 1
0 0 1
2 0 2
1 1 0
0 1 2
1 1 2
2 0 0
0 1 0
1 0 2
10 9
2 3 2
0 1 3
1 1 2
2 2 4
0 1 1
1 4 1
2 2 3
2 0 2
3 0 4
3 0 3
10 8
1 3 3
2 2 1
3 1 4
0 3 0
4 1 3
4 1 0
4 2 3
1 1 0
2 2 0
1 4 2
10 2
3 1 0
2 3 2
3 0 2
1 3 2
0 1 0
3 2 1
3 0 0
2 2 1
1 2 1
2 3 1
10 4
1 3 1
3 1 0
0 1 2
2 3 1
2 0 3
3 2 0
0 1 1
3 1 1
3 0 0
0 2 3
10 5
2 2 0
2 0 1
0 2 0
0 0 0
0 0 1
1 1 1
2 0 0
1 1 0
2 1 1
0 1 0
10 4
4 3 4
0 5 4
2 2 2
3 2 3
4 5 1
1 1 0
4 4 0
1 4 2
0 4 2
2 3 2
10 4
1 2 0
1 1 1
1 0 1
0 1 0
0 0 1
0 2 1
1 1 2
1 2 2
2 2 2
1 0 0
10 8
2 1 3
3 2 0
3 1 1
0 2 3
0 2 2
3 3 3
1 1 3
2 2 0
3 2 2
1 3 2
10 8
3 2 3
2 5 4
4 3 5
3 5 5
2 4 0
0 0 3
4 5 4
4 0 4
4 5 1
0 2 3
10 6
1 4 4
3 0 1
2 1 2
4 3 3
0 1 0
4 4 1
0 0 4
2 4 3
4 3 0
0 3 3
10 8
0 0 2
2 2 3
3 0 2
1 2 3
1 2 0
2 1 3
2 0 2
2 0 1
0 2 2
2 3 2
10 7
1 0 0
5 4 1
3 3 4
0 5 5
5 5 1
3 2 1
1 3 3
3 2 3
3 4 5
4 0 2
10 4
1 0 0
0 0 2
0 2 2
0 0 0
2 2 1
1 2 1
2 1 2
1 0 1
1 2 2
2 1 0
10 8
2 1 3
5 1 4
1 3 5
0 3 3
2 4 2
4 2 3
3 5 4
4 3 0
0 0 3
4 5 4
10 8
4 0 0
1 3 2
1 0 3
0 5 2
4 1 3
3 3 3
2 0 0
4 2 0
3 5 5
4 1 0
10 4
4 4 5
0 1 1
0 5 1
2 1 1
4 3 0
5 5 5
1 1 3
5 1 2
5 4 3
4 1 5
10 9
5 3 3
3 4 4
5 2 4
0 4 5
4 1 4
3 4 0
1 5 5
3 1 2
2 1 2
4 1 1
10 6
1 0 0
3 3 1
3 3 3
1 3 2
0 0 3
1 2 2
2 3 0
2 2 2
3 2 2
1 3 0
10 5
3 3 2
3 0 2
3 2 2
2 1 0
1 0 2
1 3 2
0 1 3
1 1 1
1 1 2
0 0 2
10 6
3 0 2
2 0 0
0 1 2
3 0 0
3 3 2
3 3 0
0 1 3
3 2 1
3 1 0
2 0 1
10 4
0 5 2
1 0 1
2 0 3
5 1 1
0 4 1
0 3 1
0 5 5
3 3 4
3 2 5
1 2 3
10 9
2 2 4
3 2 3
4 4 2
3 0 0
0 1 2
1 1 2
0 3 2
0 0 4
4 1 0
1 1 0
10 9
1 0 4
4 2 4
3 0 1
2 0 4
2 2 0
3 2 1
2 1 0
0 3 1
1 3 0
0 2 0
10 2
2 3 4
4 0 0
3 4 0
0 0 1
2 2 3
3 0 1
4 0 4
1 0 4
1 1 3
2 2 0
10 5
0 5 1
0 5 3
4 1 4
1 0 1
1 0 0
3 3 1
3 2 2
0 4 1
1 5 2
4 5 4
10 4
0 1 0
0 1 2
2 0 2
2 0 0
0 0 1
1 1 0
0 0 0
2 2 0
2 1 0
1 2 1
10 7
1 5 4
0 3 3
5 5 3
1 5 0
3 0 0
3 1 4
5 2 4
1 2 3
1 4 5
4 4 4
10 7
4 4 0
0 2 1
4 1 1
1 3 0
2 4 2
2 1 0
2 4 1
0 3 1
3 4 0
2 2 1
10 7
2 2 4
4 3 0
3 0 4
3 2 2
0 3 0
3 3 4
5 1 3
4 1 0
2 3 3
0 2 4
10 7
0 2 1
0 2 0
1 0 2
1 0 0
2 2 2
0 0 2
1 1 1
0 2 2
2 2 0
2 0 2
10 3
2 0 2
3 0 4
3 4 4
1 1 1
2 4 3
2 0 3
2 1 2
0 3 2
0 3 1
2 4 1
10 6
2 2 2
1 1 0
1 0 1
0 2 1
1 0 2
0 1 2
1 1 1
2 1 0
2 0 0
0 0 1
10 5
0 3 2
0 1 1
1 0 3
1 3 3
3 2 2
0 2 2
2 0 3
3 2 1
2 2 3
0 2 3
10 9
2 2 2
5 0 3
1 4 3
3 1 5
0 0 2
3 3 1
2 4 4
1 4 4
2 1 2
2 0 4
10 5
3 0 3
0 3 1
0 1 1
1 2 2
1 3 2
0 0 1
3 0 1
2 1 3
1 1 2
0 3 0
10 2
2 4 4
4 5 2
2 4 2
1 0 2
5 2 1
5 2 0
0 1 4
4 0 5
0 3 0
5 4 0
10 7
2 1 0
1 1 0
0 1 0
2 0 0
2 2 0
2 2 2
2 0 2
0 2 0
1 1 2
2 2 1
10 5
1 4 1
0 2 4
2 0 1
2 1 2
1 4 0
0 4 3
2 3 4
2 0 0
1 4 2
3 4 0
10 6
0 3 1
0 1 1
2 0 0
1 0 2
3 3 3
1 3 1
2 2 2
1 3 2
2 1 3
0 1 0
10 5
4 4 4
1 4 3
0 1 3
3 5 4
0 0 5
2 1 5
0 4 2
0 3 5
1 4 1
1 1 1
10 7
0 0 3
3 0 3
1 3 0
1 1 1
1 2 3
0 3 3
0 3 0
0 1 2
0 0 1
0 3 2
10 3
4 2 2
4 0 3
0 4 1
3 3 1
1 1 0
1 3 0
0 1 4
3 3 2
3 0 0
0 2 0
10 3
3 0 0
3 2 1
3 1 2
2 1 1
1 3 3
3 2 3
0 1 0
1 1 0
3 3 1
1 2 0
10 2
1 0 0
2 2 0
2 1 0
1 2 0
2 0 2
0 2 0
1 0 1
1 1 1
2 1 2
2 2 2
10 8
0 1 2
0 0 0
4 0 3
1 0 3
3 0 0
3 1 1
4 5 1
0 3 5
0 0 3
2 2 5
10 9
3 2 3
3 5 0
4 3 0
1 2 1
2 0 0
1 5 2
3 1 4
5 2 2
4 1 2
2 5 0
10 6
0 2 1
0 1 3
3 0 3
1 2 2
1 0 0
0 2 3
2 0 1
0 1 0
2 2 1
1 0 3
10 9
1 1 3
0 1 1
0 2 2
0 5 0
4 4 3
1 1 5
2 0 0
2 0 3
2 3 5
5 4 5
10 6
2 2 1
2 0 1
1 1 2
2 1 1
2 1 0
2 0 2
1 2 1
0 1 1
0 1 0
0 1 2
10 6
2 0 1
3 1 2
3 0 3
1 3 0
0 0 2
2 3 0
0 2 2
0 3 2
2 0 2
0 0 0
10 3
1 2 0
0 0 1
2 0 2
0 1 0
1 2 1
0 0 2
1 0 2
0 2 1
0 2 2
2 0 1
10 8
3 3 1
2 1 0
3 1 3
1 2 1
3 3 0
3 3 3
1 3 2
0 2 0
2 3 0
0 0 2
10 6
5 3 1
1 0 2
5 4 0
5 2 1
1 2 1
4 1 4
0 3 4
1 2 3
3 5 4
2 2 4
10 6
0 2 1
0 2 0
1 1 2
2 0 0
1 0 2
1 0 1
1 1 0
1 2 1
0 1 2
2 1 0
10 9
0 0 3
2 1 2
3 3 2
2 3 3
3 2 1
3 2 3
2 2 2
2 2 0
0 1 1
2 3 1
10 5
4 2 2
0 2 0
2 0 4
3 4 3
0 1 0
5 1 4
1 3 5
2 5 2
5 2 4
4 1 1
10 6
2 1 2
0 2 1
1 2 1
0 0 0
2 0 2
1 2 0
1 1 1
1 0 1
1 2 2
0 1 1
10 3
4 5 4
5 5 3
4 5 5
1 0 3
5 3 2
2 4 3
0 0 1
1 1 4
1 5 5
1 1 2
10 3
0 1 0
1 3 1
0 3 1
0 1 2
3 2 3
1 3 3
0 3 3
3 0 3
0 0 3
0 3 0
10 9
5 0 0
4 3 2
0 0 0
4 4 1
0 4 0
3 2 3
3 0 2
0 5 1
2 1 5
3 0 4
10 2
0 3 2
3 3 3
2 3 3
1 4 4
0 0 0
4 0 2
4 3 3
1 4 0
2 4 2
1 2 0
10 4
5 1 5
0 3 5
4 3 5
0 0 4
1 5 5
4 4 4
1 4 5
3 5 2
5 4 4
4 0 5
10 2
0 1 2
0 2 1
0 2 2
0 2 0
2 2 2
1 2 0
2 1 0
2 0 2
0 1 1
2 2 0
10 8
0 4 2
5 5 3
2 1 0
0 1 4
3 5 5
3 5 1
1 1 3
1 4 3
0 1 1
2 4 2
10 5
0 3 0
3 1 0
1 0 1
2 0 3
0 2 0
0 1 3
3 3 2
0 1 0
1 0 2
3 0 1
10 7
1 4 3
2 2 4
0 3 2
5 0 4
1 5 0
1 0 3
5 4 1
0 2 1
5 4 4
4 0 4
10 6
2 1 0
3 3 0
0 0 3
2 3 3
2 1 3
3 1 3
2 3 2
0 3 0
2 2 0
2 0 1
10 6
1 0 2
2 2 1
1 2 0
0 2 1
2 0 1
1 1 0
2 0 0
1 2 1
2 1 1
2 1 0
10 5
0 2 0
3 2 0
2 0 2
1 2 0
3 1 1
0 0 1
3 3 1
1 0 1
3 2 2
2 3 3
10 4
4 5 3
2 5 5
0 3 5
3 3 0
1 5 5
3 2 1
4 1 5
0 0 5
5 3 5
2 2 3
10 6
1 2 0
2 0 1
0 2 2
0 0 1
2 2 2
1 2 2
0 2 1
0 1 0
1 0 0
0 1 2
10 8
4 3 0
5 2 0
0 1 5
1 3 2
2 1 2
3 2 4
0 5 1
4 1 0
4 2 5
2 0 2
10 9
1 3 4
5 1 1
1 1 1
2 0 0
3 1 3
3 3 4
1 4 3
0 3 2
2 2 3
4 5 0
10 8
3 0 0
1 2 0
4 1 3
0 2 0
0 1 4
1 3 4
2 0 2
3 2 2
0 4 3
1 3 1
10 4
0 0 0
0 2 1
2 0 0
0 0 2
1 0 0
1 2 2
1 0 2
0 2 0
2 2 2
1 1 2
10 8
0 1 0
1 2 1
1 1 1
1 1 0
2 2 1
1 0 2
2 0 1
1 2 2
0 2 2
0 1 2
10 7
5 3 2
3 4 0
3 4 3
2 1 1
3 0 3
2 3 1
0 4 3
2 0 5
5 2 3
0 1 4
10 8
2 1 2
2 0 3
1 2 3
3 2 2
1 1 3
0 2 3
3 2 0
2 3 0
0 3 3
1 2 1
10 2
0 1 2
3 0 1
2 0 2
0 1 1
2 1 0
3 1 1
3 0 2
2 3 1
2 2 3
1 1 3
10 7
4 3 2
4 2 4
1 2 5
4 4 3
2 2 1
3 1 0
0 0 5
0 1 5
4 1 1
2 5 0
10 4
3 3 0
0 3 1
0 1 3
0 3 3
1 1 0
1 3 1
1 2 0
1 0 0
3 2 3
2 1 0
10 6
1 1 1
4 1 3
0 3 4
1 4 2
4 0 0
3 0 1
3 0 4
1 0 4
1 2 3
4 0 4
10 3
1 0 3
4 2 0
2 4 4
3 5 4
5 0 5
1 0 5
1 5 5
0 4 0
5 4 5
0 5 5
10 5
1 0 1
1 0 3
3 3 1
0 1 2
1 3 2
2 3 0
0 0 2
0 1 0
0 3 1
1 2 2
10 8
4 3 2
2 2 2
0 4 2
1 2 3
2 2 3
0 4 1
2 4 0
3 2 1
0 0 0
3 3 0
10 3
0 2 0
0 1 0
2 0 0
1 1 2
1 0 0
2 1 0
0 2 2
0 0 2
2 2 1
2 0 1
10 3
1 2 2
2 2 1
1 0 2
0 1 0
1 2 0
0 2 2
2 1 2
2 0 1
2 1 0
2 2 0
10 4
0 3 0
1 0 0
2 2 3
3 3 2
1 1 1
2 4 3
4 1 3
4 0 3
0 4 1
0 4 4
10 9
2 3 2
0 1 3
0 3 0
3 0 0
3 1 3
2 1 0
1 2 0
0 1 0
0 0 0
1 2 3
10 9
2 1 1
4 4 4
3 1 4
4 2 1
1 0 3
3 0 3
1 4 3
0 3 0
0 1 3
1 3 0
10 3
2 1 4
1 1 3
3 0 4
1 0 2
4 3 0
2 0 4
3 2 2
0 1 3
0 4 2
2 1 0
10 4
0 2 0
0 3 1
2 1 0
3 0 2
2 2 3
1 3 2
2 2 2
0 3 2
1 1 0
3 1 3
10 8
2 3 1
3 1 2
1 2 3
2 0 1
2 2 0
0 0 3
1 0 0
3 2 0
3 1 0
3 2 3
10 2
2 2 4
1 4 3
2 0 3
4 0 0
2 0 1
4 2 0
4 0 1
4 3 3
0 0 4
0 3 2
10 2
3 0 2
1 2 2
2 1 3
3 1 1
0 0 2
0 3 3
0 2 3
0 0 3
2 2 0
2 3 1
10 9
1 0 1
1 0 0
0 1 1
1 2 1
2 1 2
2 2 1
0 1 0
1 0 2
2 2 0
2 2 2
10 7
3 2 4
4 0 1
3 3 1
3 3 4
0 4 4
4 0 3
3 1 1
0 1 2
3 3 2
2 1 4
10 4
0 5 5
1 3 1
2 2 3
3 2 1
5 0 3
0 2 1
1 4 2
3 5 5
0 0 5
5 5 3
10 4
0 4 4
1 1 4
0 1 1
4 4 3
3 2 4
5 1 0
2 2 3
2 2 2
3 3 5
1 0 0
10 4
3 2 0
5 0 0
5 3 0
4 2 4
2 0 3
1 1 4
5 0 1
5 4 3
0 2 5
1 0 2
10 3
5 3 2
5 2 1
1 0 2
4 2 1
1 5 1
1 2 3
1 0 5
5 5 3
1 1 3
4 1 2
10 3
2 2 2
2 0 1
1 0 1
1 0 2
1 2 0
1 2 2
0 2 0
2 1 2
0 1 2
0 0 0
10 3
4 3 1
4 4 4
3 4 4
4 3 3
0 3 1
2 3 2
1 3 1
0 4 4
2 3 3
1 3 2
10 3
1 4 4
4 0 1
3 0 3
2 2 3
4 0 3
2 4 1
0 0 4
0 3 2
0 4 3
3 0 4
10 8
1 0 3
2 3 1
5 1 3
2 5 1
3 5 5
5 0 3
1 4 2
3 1 4
1 0 5
5 2 3
10 5
3 1 1
3 4 3
0 4 4
2 2 0
3 3 2
1 0 3
0 3 3
0 4 0
2 1 1
3 1 3
10 7
1 3 4
5 3 5
0 4 0
0 0 2
0 4 3
2 2 1
5 1 0
2 1 0
0 4 5
0 3 4
10 9
0 0 1
2 2 2
4 1 4
3 5 2
3 3 2
5 1 2
1 4 1
3 5 3
5 0 5
5 1 3
10 8
4 5 0
5 1 4
5 4 1
1 5 1
3 4 0
3 5 3
2 1 5
5 0 1
1 4 2
2 2 5
10 5
1 0 2
1 0 1
2 1 0
0 1 0
2 1 2
1 1 0
1 2 1
2 0 2
2 2 2
1 2 0
10 4
5 3 4
2 2 0
5 1 5
3 4 3
3 0 1
1 5 0
2 3 0
5 4 5
4 0 4
0 1 2
10 9
1 2 0
1 2 2
1 3 0
2 3 0
1 1 0
1 1 3
1 2 1
3 0 3
3 2 1
1 3 2
10 2
1 2 1
2 2 1
1 1 0
0 2 2
2 0 0
0 1 0
0 1 2
1 0 1
2 1 0
2 0 1
10 3
0 5 3
3 4 2
3 1 4
2 4 1
3 1 1
3 0 2
5 3 2
3 2 4
1 4 1
1 3 4
10 2
1 4 2
4 2 2
5 5 3
1 1 3
5 5 1
3 4 3
0 1 1
1 1 1
3 1 4
3 2 1
10 6
5 1 3
5 1 0
3 4 2
3 2 0
1 2 5
0 0 0
2 3 4
3 5 1
3 1 1
3 0 5
10 3
0 1 0
2 0 0
1 0 0
1 1 2
1 0 2
2 1 1
1 1 0
1 2 0
1 2 1
1 2 2
10 2
0 3 2
1 2 0
3 3 2
3 2 0
1 1 3
3 0 2
1 2 3
2 2 1
2 3 2
1 1 0
10 3
2 1 1
1 1 2
2 2 2
2 0 1
1 0 0
1 2 1
2 2 0
1 1 0
0 2 0
1 1 1
10 8
2 1 1
1 2 1
1 2 0
0 0 2
1 0 2
2 0 0
0 2 2
0 2 0
2 0 1
1 1 0
10 7
3 3 2
0 3 2
4 0 4
4 3 1
0 3 1
2 1 0
2 2 0
1 2 4
4 3 3
0 4 4
10 5
0 3 0
1 1 2
3 1 2
3 2 2
3 3 2
1 1 3
1 3 1
2 0 3
3 0 0
0 1 2
10 7
2 1 1
2 0 0
2 3 4
3 0 3
1 3 1
4 4 3
3 2 3
0 1 0
0 1 1
1 2 3
10 2
1 2 1
2 3 2
4 1 2
2 4 2
2 2 1
4 0 4
2 0 0
2 2 0
4 4 2
1 4 2
10 2
2 1 2
3 0 3
1 1 0
1 3 0
1 0 0
3 3 2
3 2 0
0 2 2
0 2 0
1 2 0
10 9
1 2 4
4 1 0
3 0 2
1 1 0
1 4 2
4 2 3
2 1 0
0 3 5
3 2 3
1 3 4
10 3
1 3 2
3 3 2
0 2 2
0 1 1
0 3 2
0 0 1
0 3 0
2 2 0
1 2 2
1 3 1
10 9
1 1 2
0 0 1
0 1 1
2 0 1
1 0 1
1 2 0
1 1 1
0 2 0
0 0 2
2 2 0
10 9
1 2 4
3 4 1
4 1 4
5 1 0
3 1 4
4 4 0
1 4 2
3 3 3
1 1 2
0 4 4
10 6
1 0 1
0 1 2
0 0 1
0 2 0
2 1 2
1 1 0
1 1 2
2 2 0
2 2 1
1 0 0
10 2
0 0 3
0 0 0
2 5 4
3 1 1
5 3 5
4 1 1
3 4 0
3 3 3
3 4 4
4 1 0
10 8
2 2 0
2 3 1
0 3 0
3 4 1
1 4 0
0 0 2
4 1 3
0 3 3
0 3 1
4 0 2
10 9
0 1 3
0 1 0
1 2 2
1 0 2
0 0 0
1 1 1
1 1 0
3 1 0
3 3 0
1 0 3
10 9
2 2 2
3 4 0
4 3 3
2 2 3
3 2 2
2 1 1
1 2 1
4 3 4
2 2 4
3 2 4
10 5
1 2 1
1 1 0
0 1 2
1 0 1
0 0 1
1 2 0
1 1 1
1 0 2
2 0 1
0 1 1
10 8
0 0 0
5 0 3
4 1 2
3 4 3
1 0 0
1 1 2
0 5 5
5 1 2
2 3 4
5 0 0
10 3
0 2 0
0 0 1
1 2 2
2 1 0
2 0 2
0 0 0
2 2 0
0 1 2
1 0 1
1 2 1
10 8
0 2 0
0 1 2
2 0 1
2 1 1
0 0 1
0 1 1
2 1 0
1 1 2
2 2 1
2 2 0
10 7
4 0 3
5 4 2
5 1 5
5 0 1
0 5 1
5 1 0
2 5 0
4 1 2
0 1 4
2 3 3
10 4
0 3 3
3 3 1
0 0 2
2 1 0
0 2 4
5 5 3
1 2 1
3 2 2
2 3 5
5 3 0
10 7
3 1 0
3 1 3
1 0 4
3 4 3
3 1 4
4 1 1
4 0 0
2 4 3
2 0 4
2 2 4
10 5
3 4 3
3 0 3
0 3 0
1 3 2
3 5 2
5 3 5
5 3 2
3 4 5
2 3 5
5 2 1
10 5
0 0 2
1 1 2
1 1 1
1 2 2
2 1 0
2 0 0
2 2 2
0 1 1
1 2 1
2 1 1
10 6
1 1 2
0 0 0
0 3 3
0 1 2
0 0 2
3 2 1
2 3 0
2 3 3
0 1 3
3 3 0
10 3
4 0 3
3 5 2
0 1 0
1 4 2
0 2 3
4 4 0
1 1 2
2 1 3
0 0 2
1 3 2
10 9
2 0 2
0 1 0
2 0 0
0 1 2
1 2 0
0 2 0
2 1 0
2 1 2
2 2 0
0 1 1
10 5
2 1 2
2 2 1
1 2 3
2 3 0
3 0 2
1 0 3
3 1 2
3 2 3
2 3 1
0 1 0
10 6
0 0 2
1 1 3
3 0 0
1 0 0
1 3 0
0 2 0
0 1 0
2 3 2
0 3 0
0 2 2
10 8
0 2 1
3 4 2
4 2 2
2 2 4
4 1 2
3 0 3
2 3 4
0 1 2
0 3 0
4 2 4
10 6
2 3 0
1 0 3
2 1 1
3 3 3
1 3 1
0 2 1
0 1 1
2 0 3
0 3 2
2 1 3
10 6
5 3 1
0 2 2
3 0 0
3 5 5
0 2 1
5 2 5
2 2 3
1 4 2
3 1 5
5 1 5
10 3
1 1 1
2 2 0
0 2 0
2 2 2
0 2 1
1 2 0
2 0 2
1 2 2
2 1 2
2 0 0
10 8
2 4 2
0 3 1
5 4 5
5 0 2
4 3 1
5 1 0
3 5 2
5 3 2
0 5 0
3 0 1
10 4
4 4 4
0 4 1
1 0 3
0 1 2
2 2 2
3 1 3
0 3 0
1 0 1
3 1 0
0 3 4
10 5
2 3 3
3 2 3
5 0 0
3 0 2
4 0 3
4 5 5
1 3 5
3 2 4
1 4 0
1 2 2
10 8
0 3 1
0 5 3
0 1 2
4 2 5
2 3 3
2 4 4
3 1 5
4 0 4
2 1 0
3 2 2
10 8
3 0 1
2 1 3
2 2 3
1 2 1
0 2 1
2 3 2
1 1 3
2 2 2
3 3 1
2 0 1
10 8
1 0 0
1 3 2
1 2 2
1 2 0
2 1 1
3 1 0
3 0 3
1 0 1
1 1 0
2 2 3
10 9
5 1 3
5 1 1
4 2 2
4 2 0
0 4 3
1 4 2
0 0 1
5 5 5
0 1 5
5 0 3
10 2
2 3 4
1 4 1
1 1 1
1 3 4
2 0 4
4 0 1
2 1 0
2 0 1
1 1 3
4 2 2
10 5
1 2 1
2 3 2
0 4 2
1 1 3
2 4 4
4 1 0
0 3 3
4 3 2
0 1 2
4 2 4
10 8
0 3 2
0 0 0
2 3 0
3 0 3
2 0 1
2 1 0
1 1 0
2 3 2
1 3 3
0 3 1
10 6
3 1 0
5 3 2
5 5 3
4 2 4
2 3 0
0 0 0
2 0 0
4 2 3
0 5 0
0 1 2
10 2
0 1 0
1 2 3
0 1 3
3 3 2
1 2 0
0 3 0
2 3 0
0 3 3
1 3 2
3 3 0
10 8
4 3 1
4 4 2
4 2 0
0 2 4
1 4 0
4 3 4
2 1 2
3 0 0
3 4 2
0 1 4
10 3
0 2 1
0 0 1
2 1 0
0 1 1
1 0 1
1 1 0
2 2 1
1 1 1
0 2 0
2 0 2
10 4
2 5 3
2 2 2
0 5 0
5 3 2
1 2 3
5 1 4
5 2 5
3 5 3
5 0 4
0 3 0
10 5
2 2 2
3 3 3
3 3 1
0 2 0
3 1 2
1 2 2
2 3 1
2 2 0
0 1 2
1 1 3
10 4
5 5 4
2 3 1
4 0 4
1 5 4
0 2 0
4 4 5
4 0 5
1 2 5
5 5 2
0 4 3
10 8
1 0 4
4 2 4
1 1 4
3 4 0
1 0 2
2 4 3
2 3 4
0 3 4
3 4 4
4 2 1
10 5
2 5 0
2 2 1
4 3 5
1 1 5
4 5 1
2 4 1
1 5 4
4 2 3
5 4 4
1 5 1
10 8
3 5 4
4 3 1
1 0 0
4 2 4
2 1 5
1 2 2
1 4 1
5 2 1
0 0 1
4 0 2
10 9
1 2 1
0 2 1
1 0 2
0 1 2
1 0 1
2 1 2
2 0 2
0 2 2
1 1 2
1 1 1
10 8
2 3 1
3 1 3
0 2 1
2 0 3
2 3 3
0 3 3
3 1 1
2 0 0
1 1 0
0 0 1
10 8
0 3 3
2 3 3
1 2 1
2 2 1
1 2 0
0 1 0
0 1 2
2 3 0
3 3 3
0 1 1
10 9
0 1 3
1 1 1
0 3 1
0 3 2
1 3 0
0 0 3
1 0 1
3 3 1
3 0 3
3 3 3
10 3
3 5 0
5 2 2
3 3 4
2 0 1
5 0 2
0 2 2
4 3 4
4 4 3
0 3 3
2 4 1
10 2
2 4 3
3 2 3
3 4 3
4 0 3
5 4 5
4 4 0
0 0 0
0 3 0
5 2 2
0 1 1
10 8
0 1 2
0 3 3
2 0 1
0 3 2
3 0 3
1 2 0
0 2 0
2 1 0
3 1 2
2 2 3
10 3
0 3 3
0 3 2
1 0 1
0 2 2
0 2 0
0 0 3
2 0 3
1 2 3
2 2 0
2 1 2
10 6
2 1 2
2 1 1
0 1 1
2 2 2
0 1 2
0 2 1
2 0 2
2 0 1
1 2 2
2 1 0
10 9
1 0 2
2 2 2
1 2 1
0 2 1
1 0 0
1 1 1
0 0 1
0 2 2
2 0 1
2 1 2
10 7
0 1 0
2 0 1
1 1 0
2 1 0
1 1 1
1 0 2
1 0 0
0 1 2
0 1 1
1 2 0
10 7
0 0 1
1 0 1
0 0 0
2 0 0
0 1 0
0 2 2
1 2 0
1 1 2
1 1 1
2 2 0
10 5
1 3 1
1 4 0
1 0 3
1 4 4
3 0 2
2 2 3
2 1 1
1 1 3
4 0 4
3 4 3
10 5
1 2 1
0 3 0
2 2 2
3 0 0
2 2 0
3 2 1
3 3 2
2 1 0
0 2 2
1 3 1
10 5
3 2 3
2 3 3
3 3 1
1 0 2
2 1 2
1 3 2
3 1 2
0 2 0
2 2 0
2 0 1
10 6
1 3 0
2 2 1
2 0 0
0 2 0
1 1 0
0 0 3
3 3 2
1 3 2
1 2 0
2 0 1
10 2
2 0 4
0 4 4
1 5 0
2 3 2
1 0 2
4 2 2
3 5 4
5 2 2
4 0 1
4 5 1
10 3
5 1 1
5 4 2
2 3 0
4 1 3
3 5 3
3 2 4
0 1 2
4 2 0
1 4 4
1 1 5
10 3
0 2 1
0 0 1
1 2 1
2 1 0
2 1 2
1 1 0
0 0 0
1 1 2
1 1 1
0 1 1
10 7
1 1 1
1 2 0
2 2 2
0 0 1
1 0 2
1 1 2
0 1 1
1 0 1
0 0 2
0 2 0
10 8
2 2 4
3 0 2
1 2 4
0 5 2
3 1 0
0 2 0
1 5 4
1 0 5
0 3 2
4 2 2
10 9
0 1 1
1 0 1
2 2 3
2 3 4
2 2 1
0 2 0
1 4 2
2 4 3
3 0 0
2 4 4
10 3
2 0 4
0 1 0
0 2 4
1 0 2
1 3 1
4 1 3
4 1 1
3 0 1
1 3 2
3 3 4
10 3
1 3 3
4 4 4
3 3 4
4 1 1
1 2 0
5 2 1
5 1 2
5 4 2
4 2 1
0 4 3
10 8
0 3 5
5 1 3
4 4 3
4 1 3
1 5 3
3 4 4
5 3 2
1 3 1
2 1 3
4 5 4
10 4
1 3 1
0 0 3
0 3 2
0 1 0
0 2 2
3 3 2
3 1 2
2 2 2
3 2 1
0 0 0
10 9
0 2 3
0 0 3
1 0 2
3 2 3
2 0 1
1 3 3
1 3 2
0 1 0
1 0 0
1 0 1
10 2
4 3 0
5 5 1
1 0 1
0 2 2
5 0 1
3 4 1
4 5 5
5 4 5
3 1 4
0 2 0
10 2
5 3 5
2 4 1
0 1 3
2 5 3
1 5 5
1 5 1
1 4 1
4 2 3
5 3 3
4 5 1
10 9
1 0 1
1 0 2
0 2 0
0 2 2
1 2 2
0 0 1
0 1 2
2 1 2
2 1 0
2 2 1
10 6
0 1 5
0 3 0
1 1 2
0 0 5
4 5 2
5 0 2
3 4 2
5 4 1
5 2 3
4 0 0
10 7
5 3 2
3 2 0
3 3 0
4 5 2
2 2 2
5 1 0
5 2 0
1 5 2
3 0 4
0 2 0
10 4
2 1 4
2 3 1
3 4 2
3 0 2
0 4 4
4 4 3
4 4 2
1 4 2
1 3 0
1 4 0
10 8
2 0 0
1 0 1
2 0 2
2 1 0
2 1 1
1 2 0
0 2 0
0 0 1
2 0 1
1 1 1
10 2
3 3 3
1 4 2
1 4 3
0 1 3
1 0 1
0 4 3
0 1 2
0 4 0
3 0 2
3 1 4
10 8
2 3 2
1 1 3
1 5 5
2 1 2
4 1 2
5 0 3
0 4 3
4 2 3
2 0 2
3 4 5
10 8
1 2 1
2 1 1
1 0 1
1 1 1
0 1 1
2 1 2
1 2 2
2 0 2
2 2 1
1 1 2
10 7
1 3 3
1 0 3
2 0 2
0 2 0
3 0 3
0 1 1
3 2 3
3 0 1
3 2 1
0 3 1
10 9
1 2 0
2 1 0
1 1 2
0 2 2
1 1 0
2 2 0
2 1 2
0 1 0
0 0 2
1 2 2
10 7
1 0 2
2 0 1
1 0 0
0 0 1
1 2 0
0 2 0
1 2 1
1 1 2
2 0 0
1 2 2
10 3
1 5 1
0 1 4
4 3 1
5 2 2
3 5 4
3 4 5
2 4 3
5 1 3
4 0 1
1 3 3
10 3
4 3 1
1 4 1
5 1 3
0 3 3
4 1 1
4 0 3
1 3 1
3 0 3
0 2 4
5 0 3
10 4
2 1 2
0 0 0
0 1 2
0 2 0
1 1 2
1 2 1
2 2 2
1 0 2
1 2 2
1 2 0
10 5
2 2 3
1 2 1
3 1 0
0 3 3
2 0 0
1 3 0
2 0 3
3 2 2
1 0 2
1 2 2
10 5
0 1 3
1 1 2
3 3 4
4 1 2
4 0 3
2 4 3
0 0 3
0 2 3
1 2 4
2 0 4
10 3
0 1 5
1 3 3
2 5 5
4 4 4
0 5 5
3 5 5
1 1 1
3 0 4
0 5 0
4 1 1
10 8
2 5 1
1 4 3
0 1 0
5 5 1
5 1 2
4 0 3
4 3 1
0 0 2
0 4 3
3 5 1
10 7
0 1 1
1 1 2
0 2 2
1 1 1
1 2 1
0 1 0
1 0 1
0 1 2
0 0 0
2 2 2
10 2
0 0 1
1 2 1
1 1 1
0 2 1
2 0 2
2 1 2
0 0 2
0 1 0
0 1 1
0 2 0
10 8
2 0 3
0 4 0
4 0 2
0 2 2
2 1 1
1 1 4
2 2 4
3 3 1
0 2 0
1 3 1
10 5
1 1 4
5 1 5
1 0 2
3 5 2
0 3 0
2 5 2
5 1 4
1 2 2
3 2 2
2 1 4
10 8
0 3 4
5 1 2
2 0 2
4 5 2
1 1 2
0 0 2
0 4 1
2 4 0
4 3 4
2 1 0
10 6
3 0 0
4 1 2
0 3 0
4 3 1
2 4 2
1 4 0
2 3 0
0 1 4
1 1 2
0 0 2
10 9
1 2 2
1 0 1
0 4 4
2 3 1
3 3 4
3 0 2
1 1 3
3 4 0
1 0 4
0 1 3
10 5
2 2 0
0 1 1
1 1 1
1 2 2
0 0 0
0 1 0
2 0 2
1 0 0
1 1 0
0 2 0
10 2
1 5 4
5 0 0
5 0 3
0 0 2
5 2 1
4 2 2
0 3 5
2 1 1
0 4 4
0 1 4
10 2
1 0 2
1 1 2
0 2 1
1 0 1
2 2 2
1 2 1
0 1 0
0 1 1
1 1 0
2 0 1
10 8
1 2 0
0 2 2
1 1 1
1 2 2
0 1 0
2 0 1
1 1 2
0 2 0
2 0 2
0 0 0
10 4
3 0 1
5 2 0
5 2 5
1 5 2
0 1 1
5 0 4
2 5 2
0 3 1
0 3 0
4 5 2
10 5
0 2 0
3 2 0
2 4 1
3 4 3
5 0 5
1 3 4
1 0 1
1 1 3
0 4 0
5 5 0
10 6
0 0 0
3 0 0
1 4 4
2 3 2
4 1 3
4 2 3
3 1 0
3 4 0
3 4 3
3 4 1
10 3
1 2 0
3 2 1
1 3 3
3 1 1
3 4 1
2 1 2
3 1 0
4 1 0
3 0 4
1 4 0
10 7
1 2 0
1 0 2
1 2 1
0 0 2
0 2 2
2 0 0
0 1 0
2 1 1
2 0 1
1 0 1
10 4
0 1 1
3 1 2
0 2 1
0 3 0
2 2 1
2 1 0
2 1 1
0 0 1
2 2 3
1 2 3
10 6
2 2 0
0 2 0
0 2 1
2 1 1
1 1 0
1 2 0
2 1 2
1 1 1
1 1 2
2 0 0
10 5
0 0 1
1 3 3
2 0 1
0 0 0
4 2 3
3 4 3
3 1 1
1 4 1
3 2 1
4 1 1
10 5
2 0 3
2 1 1
2 2 0
3 3 1
1 2 2
3 1 1
1 1 0
0 2 1
3 2 3
2 2 2
10 7
4 3 1
2 0 4
5 0 0
4 0 2
5 4 1
0 5 2
1 1 2
0 0 4
5 4 5
1 5 0
10 4
3 0 0
1 3 3
1 1 2
3 2 2
1 2 1
2 2 0
0 3 0
3 0 1
2 3 2
0 2 0
10 4
1 0 3
1 2 3
3 2 2
2 2 3
1 2 0
3 2 1
0 2 1
0 3 0
3 2 3
1 0 2
10 3
2 0 3
0 3 2
1 1 3
2 2 2
0 1 0
2 3 3
3 1 0
1 2 1
1 3 2
1 0 0
10 9
3 0 3
1 2 1
1 1 2
2 0 0
0 0 2
3 0 1
0 3 3
2 3 2
3 3 3
2 0 3
10 6
3 3 3
0 0 1
3 3 2
2 0 3
4 0 1
3 3 0
2 0 4
1 4 3
1 2 0
1 0 2
10 3
1 1 1
3 0 2
0 1 1
3 3 0
2 1 1
1 1 2
2 1 3
3 2 2
0 0 2
2 1 0
10 6
2 2 2
0 2 1
1 2 2
1 0 1
1 2 1
2 1 1
2 0 1
2 0 0
2 2 0
2 2 1
10 7
1 0 0
0 2 1
0 1 2
0 0 0
1 2 0
0 1 0
1 1 0
2 1 0
1 1 2
1 1 1
10 9
1 0 2
0 2 2
0 0 0
2 1 2
2 2 1
1 1 2
1 0 0
1 1 0
0 2 1
2 1 1
10 2
1 4 4
3 2 2
1 5 5
4 5 3
1 2 4
2 2 4
3 4 0
5 2 4
2 2 3
1 3 3
10 2
0 4 2
2 2 4
0 4 3
4 0 3
3 3 1
4 3 2
1 0 2
4 4 4
4 0 2
4 0 4
10 5
4 3 1
3 2 0
2 1 4
3 5 0
2 0 3
2 4 4
4 4 5
0 2 1
1 5 3
1 2 1
10 2
0 2 0
2 2 0
1 2 1
1 0 1
1 1 2
2 0 0
2 2 2
1 2 0
2 0 2
2 1 0
10 3
3 5 3
1 5 0
4 3 5
0 0 1
5 4 2
1 3 1
5 3 0
3 1 5
1 4 2
2 3 1
10 3
0 2 0
1 2 1
0 2 2
2 1 2
1 2 0
1 1 2
2 2 1
2 0 1
0 1 1
2 2 2
10 3
0 1 0
1 0 1
1 1 1
1 2 2
3 3 2
0 0 3
2 3 1
0 2 1
3 2 3
0 1 3
10 2
2 2 2
1 2 1
2 2 1
1 2 2
1 2 0
2 0 1
2 2 0
0 2 2
1 0 1
1 1 2
10 4
1 0 3
2 1 0
3 0 3
3 2 2
0 2 3
0 0 3
2 3 3
3 3 2
2 0 3
1 0 1
10 7
1 0 4
4 3 4
0 4 5
3 4 5
0 4 1
1 5 1
5 3 1
5 0 2
3 3 0
1 0 0
10 4
1 2 1
3 3 2
3 2 4
1 1 1
4 4 3
4 2 3
2 2 1
4 0 1
4 1 2
3 3 3
10 6
3 3 1
5 3 3
4 0 4
1 5 2
0 5 3
1 0 3
2 2 2
0 0 4
3 0 2
3 2 0
10 5
0 2 1
0 1 2
2 0 0
0 2 2
2 2 1
1 0 1
0 0 2
0 2 0
0 1 1
2 2 2
10 4
4 2 4
4 1 4
2 2 4
2 0 0
4 2 1
2 3 3
2 2 1
4 4 3
4 0 3
0 2 0
10 3
2 4 5
5 0 4
2 0 1
0 4 2
1 5 1
1 1 3
4 5 2
5 1 2
5 3 2
5 0 0
10 7
2 2 2
1 0 1
2 1 1
1 2 1
0 1 0
1 2 2
1 0 2
1 1 2
0 0 0
0 1 2
10 4
3 0 4
3 3 0
1 5 4
4 5 2
0 3 4
4 0 4
4 5 1
2 2 0
4 3 3
1 4 3
10 3
2 0 0
0 1 2
0 2 0
1 1 1
0 1 1
1 0 2
0 2 1
2 0 2
1 0 0
0 2 2
10 3
0 1 1
2 4 0
4 2 2
0 0 2
3 2 2
3 0 2
1 4 0
3 2 4
2 3 3
4 0 2
10 3
0 0 3
3 0 3
2 3 0
1 3 2
0 3 1
0 2 1
3 2 3
3 3 1
3 2 0
2 0 3
10 3
0 0 0
1 0 0
1 1 1
0 1 2
0 2 2
0 1 0
1 2 1
1 2 0
1 1 0
0 0 1
10 2
2 1 0
1 2 2
2 2 2
0 1 0
2 0 0
0 2 2
1 0 1
0 1 1
0 0 1
0 2 1
10 9
1 3 4
3 1 1
1 4 0
1 2 0
2 4 2
2 0 4
3 0 0
0 0 3
4 2 0
0 2 0
10 9
0 2 3
0 0 3
1 3 1
0 0 1
5 4 2
3 2 1
0 4 5
3 5 0
4 2 0
0 3 5
10 9
0 2 2
0 0 2
1 0 0
2 0 0
2 1 2
1 1 0
0 1 1
0 1 2
2 2 0
2 2 1
10 9
0 2 1
2 1 2
0 2 2
1 2 1
2 1 0
1 0 0
2 2 0
1 2 2
1 0 2
0 0 2
10 5
0 3 0
3 0 3
1 2 1
1 0 1
2 3 2
1 0 0
2 3 1
3 2 2
3 1 0
1 1 3
10 3
1 1 0
2 1 1
1 1 1
2 0 2
1 1 2
1 0 0
2 2 2
0 2 1
2 0 0
1 0 1
10 2
1 2 0
1 1 0
0 1 2
1 2 2
0 0 1
2 0 0
1 0 0
1 1 1
0 1 0
2 2 2
10 3
4 3 0
2 3 5
0 5 5
4 1 4
4 1 2
3 0 4
5 5 0
3 5 3
4 0 1
4 4 4
10 8
0 1 0
1 2 0
0 2 1
0 0 0
1 1 0
2 0 2
1 1 2
0 1 1
0 2 2
1 0 0
10 3
0 1 0
1 1 0
0 0 2
1 0 1
2 0 0
2 0 2
0 1 2
2 2 2
1 1 1
0 2 2
10 9
0 1 2
1 1 1
2 1 0
3 2 3
2 3 0
3 1 1
3 3 2
2 3 3
1 2 0
0 1 0
10 6
1 2 2
0 0 0
1 0 1
1 1 1
0 0 2
2 2 0
2 1 0
1 0 0
0 1 1
2 2 1
10 4
3 2 1
0 3 2
1 2 3
1 0 2
3 0 0
3 0 2
3 0 1
0 3 0
0 0 3
0 1 0
10 7
1 2 1
1 2 3
0 1 0
2 3 1
0 4 0
4 0 4
4 0 0
0 3 2
3 3 2
2 0 3
10 9
1 1 2
0 0 0
2 1 0
0 0 2
1 1 1
0 2 1
2 2 0
0 1 0
0 1 2
0 2 0
10 6
2 1 0
2 0 0
0 0 1
1 0 2
1 2 2
2 2 1
1 2 1
2 1 1
2 0 1
2 1 2
10 3
1 2 2
0 2 0
2 0 0
2 1 1
0 0 2
0 1 2
1 0 1
0 2 2
0 0 0
1 1 2
10 4
2 1 5
2 1 3
3 3 4
5 0 4
4 5 2
4 5 0
3 0 5
0 1 5
5 2 2
1 1 2
10 8
5 0 5
1 0 3
3 1 1
3 3 0
1 0 4
5 1 5
2 3 3
3 4 3
0 0 2
2 2 2
10 3
2 1 2
1 2 0
1 1 2
2 0 3
0 2 0
2 0 1
0 2 2
0 1 3
2 1 0
2 3 1
10 9
4 3 1
0 3 0
4 1 1
1 4 4
3 1 2
2 3 0
4 4 2
4 3 0
0 3 2
0 0 4
10 4
5 2 1
5 0 2
1 3 1
5 0 3
2 1 2
4 5 2
2 4 5
3 3 5
0 1 0
3 0 4
10 6
3 3 0
0 3 3
3 0 5
3 4 2
2 3 4
5 5 2
2 1 5
4 0 2
1 1 2
2 3 1
10 8
0 2 2
3 3 0
1 0 0
1 3 0
3 3 3
0 0 2
2 1 0
2 2 0
3 1 1
3 0 2
10 4
1 1 3
0 2 1
1 2 0
1 0 1
3 1 2
2 1 2
1 3 0
3 3 3
2 3 2
3 2 3
10 2
3 3 2
3 1 3
1 3 1
3 0 0
2 1 2
0 3 2
0 1 3
0 2 2
2 0 2
3 2 1
10 9
3 1 3
3 3 0
1 1 2
0 2 3
3 2 2
1 1 1
1 3 2
0 3 2
0 0 1
1 0 0
10 5
4 1 1
1 5 3
4 0 4
4 3 4
0 1 2
0 5 5
3 5 3
2 3 0
2 5 1
1 0 5
10 8
1 0 0
2 2 2
2 1 3
3 0 3
1 2 1
3 0 1
1 1 1
3 3 1
3 1 1
3 1 0
10 7
3 4 4
3 1 4
5 5 5
4 1 3
0 4 3
3 4 0
4 2 2
4 2 5
2 3 3
2 0 5
10 4
1 2 2
3 3 1
0 3 0
3 1 3
2 1 1
0 3 2
2 1 2
2 3 2
1 0 3
0 1 0
10 9
0 2 2
2 2 0
1 2 0
3 3 0
3 1 2
3 1 0
2 1 0
3 2 3
1 0 0
0 0 1
10 9
4 4 0
0 4 0
0 3 0
4 1 1
2 2 4
2 1 5
1 4 1
1 1 2
4 0 5
1 5 4
10 3
0 3 1
1 1 1
2 2 0
3 0 3
0 3 2
3 2 1
0 0 0
1 1 0
2 0 0
3 2 3
10 5
0 0 2
1 1 0
0 1 0
0 2 2
1 2 0
1 0 0
2 0 0
1 0 2
2 1 1
1 1 2
10 5
0 3 0
2 3 0
0 1 4
1 0 3
3 0 1
3 2 4
2 1 0
0 3 2
4 3 2
0 0 3
10 7
0 1 0
3 3 5
4 1 1
4 5 4
5 5 3
0 0 2
0 2 5
5 3 4
2 0 0
4 2 5
10 6
3 1 0
0 0 4
3 2 4
4 4 3
2 2 2
3 4 1
4 4 4
1 2 4
2 1 4
0 4 4
10 9
4 0 1
4 4 2
4 0 4
0 1 0
3 0 3
3 0 4
4 2 3
0 3 3
2 3 1
0 0 4
10 2
0 0 2
1 0 0
0 1 0
2 2 0
2 3 1
3 0 1
1 3 2
3 1 2
1 1 1
3 2 3
10 2
5 5 1
4 0 1
1 5 4
4 2 3
4 0 2
2 0 4
4 3 4
0 2 0
2 1 5
4 5 1
10 2
1 2 0
2 1 2
1 1 0
2 2 0
1 0 1
0 2 1
0 1 0
0 0 1
1 0 0
2 2 2
10 7
0 2 1
2 1 2
2 1 0
2 2 2
1 2 2
2 0 2
2 2 1
1 1 0
1 0 0
0 2 0
10 7
2 2 2
1 1 2
2 1 1
1 2 1
1 0 0
2 0 2
2 2 1
1 2 2
2 2 0
2 1 2
10 8
0 0 3
2 0 1
2 5 5
2 0 2
4 5 1
4 1 1
3 0 4
5 3 2
0 5 5
2 1 0
10 7
0 1 2
0 1 0
1 2 1
2 2 0
2 1 1
2 1 2
0 2 2
1 2 0
2 2 2
2 2 1
10 6
4 2 2
0 1 2
1 2 2
2 3 4
1 1 2
4 0 0
4 2 3
1 1 1
4 4 3
4 1 1
10 9
5 3 4
1 3 5
2 3 4
2 5 1
1 1 1
2 4 0
1 0 5
3 5 1
0 3 2
4 5 0
10 2
2 1 0
2 2 1
1 1 0
1 2 1
0 0 1
0 2 2
0 1 0
0 0 0
2 1 1
1 0 2
10 3
0 1 0
1 2 0
2 0 0
1 1 1
0 1 1
2 2 1
1 1 2
0 0 0
0 2 0
2 0 2
10 2
0 0 0
2 1 1
0 0 1
1 0 2
2 1 0
0 1 1
0 0 2
1 1 1
2 0 0
2 2 0
10 6
1 2 0
0 2 1
2 2 1
0 2 0
2 2 0
1 2 2
1 2 1
2 2 2
1 0 0
0 0 1
10 7
2 1 0
3 1 3
4 2 2
2 0 0
3 2 2
1 1 1
1 1 2
3 3 3
4 4 0
2 3 2
10 3
3 0 5
0 1 2
2 5 5
0 4 4
0 4 0
5 3 1
3 2 2
2 2 5
0 2 3
5 1 5
10 9
2 0 1
2 2 2
2 0 2
0 1 2
2 2 1
2 0 0
0 1 1
2 1 0
2 1 1
2 1 2
10 3
5 3 5
0 5 3
5 2 1
4 0 2
4 1 4
3 1 5
1 3 3
1 2 3
2 5 1
5 4 3
10 3
0 1 0
1 2 1
1 1 2
3 1 1
3 3 0
3 3 1
3 2 2
1 2 0
3 2 0
2 0 3
10 3
0 4 0
3 0 3
2 3 3
1 1 3
4 1 2
1 2 2
0 1 4
1 2 3
2 4 1
1 3 1
10 2
2 5 1
1 4 4
2 3 1
1 2 0
4 4 1
2 1 2
0 5 3
3 5 1
5 3 3
2 4 4
10 7
2 2 2
1 0 2
0 0 1
0 1 2
2 2 0
2 2 1
2 1 0
2 1 2
0 2 1
0 1 1
10 5
2 2 1
2 1 2
2 2 2
0 0 2
0 1 2
1 2 1
1 1 1
0 0 0
1 2 0
2 0 0
10 5
2 3 0
0 0 1
3 1 1
1 2 2
3 1 3
2 0 2
2 0 3
2 3 1
1 3 0
1 3 2
10 4
0 3 2
3 2 2
3 0 1
2 0 0
3 2 0
0 2 3
2 3 0
1 0 1
1 1 3
1 3 2
10 3
0 2 3
1 3 1
1 3 2
0 2 0
1 1 1
0 0 3
0 3 1
3 3 0
3 3 3
0 1 0
10 5
2 0 0
0 2 1
2 3 1
0 2 3
3 1 2
2 0 1
2 3 0
3 2 0
2 1 0
2 0 3
10 4
2 1 0
0 0 2
0 2 2
0 1 0
2 0 0
0 2 0
1 0 1
0 1 1
1 2 1
1 2 0
10 5
4 3 1
5 0 2
5 5 1
1 3 5
5 4 5
0 2 0
4 0 4
0 0 4
4 0 5
3 2 4
10 3
0 2 0
3 3 1
2 3 2
3 0 2
0 3 0
1 3 3
3 1 2
3 1 3
2 3 0
1 3 2
10 6
3 0 1
3 2 1
3 0 4
2 0 3
0 3 4
0 4 0
2 0 4
0 3 3
2 1 3
4 4 3
10 5
4 4 0
2 2 4
3 5 2
0 3 0
0 4 4
5 4 0
0 3 5
5 1 4
4 3 3
2 0 3
10 7
0 3 2
2 0 0
3 1 3
2 0 2
3 0 3
1 2 0
1 3 3
3 3 3
2 3 2
0 0 3
10 7
2 0 4
4 1 4
1 0 4
1 4 4
2 1 3
0 1 4
2 3 1
2 3 4
1 5 3
2 3 0
10 5
1 2 0
1 1 2
2 2 0
0 1 1
1 1 0
0 1 2
1 2 2
2 0 2
0 1 0
2 0 1
10 4
2 1 2
2 1 5
0 5 1
3 1 4
3 1 1
4 4 0
3 3 1
5 0 3
3 4 0
3 2 3
10 5
0 0 2
0 5 2
5 1 0
3 3 5
2 1 5
3 5 0
3 5 4
1 1 5
0 4 4
2 3 5
10 4
3 4 3
0 2 0
4 0 1
0 1 0
0 2 4
0 2 1
1 3 4
2 1 1
3 1 4
1 1 1
10 6
1 1 3
3 1 4
1 3 0
4 4 2
1 0 4
2 1 2
0 2 3
0 2 0
0 1 0
3 3 1
10 5
0 5 0
1 4 0
4 5 4
5 4 3
3 4 1
4 1 1
3 5 0
3 4 5
0 3 4
0 1 5
10 3
1 2 2
2 0 1
1 0 0
2 2 1
0 1 2
0 0 0
2 1 0
0 2 2
2 1 1
2 2 0
10 6
3 2 1
3 3 1
4 3 0
1 0 2
1 1 2
4 1 0
2 0 2
1 0 1
0 0 2
2 1 4
10 4
0 1 1
2 0 2
1 2 1
2 1 0
0 1 0
2 2 0
2 2 2
0 0 2
2 1 2
0 0 1
10 5
2 2 2
0 0 2
1 0 0
0 1 0
0 2 0
2 1 0
2 1 1
2 2 0
1 1 0
1 2 2
10 9
0 0 1
1 3 0
1 2 2
1 2 3
2 2 3
2 0 0
0 3 1
0 2 2
1 1 0
2 1 1
10 6
0 0 2
2 0 2
0 0 3
3 3 1
2 2 2
3 1 0
3 0 3
1 0 3
1 2 3
2 2 0
10 2
2 0 1
3 2 2
1 0 2
3 0 2
3 3 2
0 3 2
3 3 1
2 2 0
3 3 0
1 2 0
10 7
3 1 4
4 4 3
5 3 2
2 0 2
0 1 1
5 0 4
0 0 0
3 4 4
2 2 4
4 2 4
10 9
2 0 0
2 2 1
0 1 1
0 0 1
2 0 2
2 2 2
1 2 0
0 2 0
0 1 2
2 1 1
10 3
2 3 3
0 2 1
0 3 2
2 3 1
0 0 2
0 3 3
2 0 0
3 2 3
1 1 3
2 3 2
10 8
0 0 1
0 0 2
0 2 2
2 1 1
1 1 1
2 1 2
1 2 2
0 1 2
0 0 0
2 0 1
10 5
4 5 2
0 1 5
2 0 2
0 1 4
0 4 1
3 4 3
1 1 5
2 1 5
2 0 0
5 2 3
10 9
5 0 2
3 3 3
1 4 2
3 1 2
4 0 4
5 3 2
2 4 4
4 5 3
0 3 5
1 3 5
10 6
1 3 1
5 0 2
4 4 1
0 1 2
0 2 4
3 4 1
2 3 4
3 3 4
3 5 5
0 5 2
10 3
3 1 0
0 3 0
0 3 3
2 1 1
1 2 2
1 0 1
1 1 2
2 0 3
2 2 0
3 3 1
10 3
1 2 0
2 2 1
1 2 2
2 1 2
1 2 1
0 0 1
2 0 1
0 0 2
0 0 0
1 0 1
10 5
3 0 3
2 4 2
0 2 4
3 4 0
1 4 4
3 2 1
2 1 4
4 0 0
1 2 2
1 4 1
10 6
5 0 1
0 1 5
1 3 0
0 5 0
1 5 1
0 1 1
3 4 0
3 0 5
5 5 5
5 1 0
10 4
2 1 1
1 1 0
0 1 2
0 1 1
0 0 1
2 1 0
0 2 0
0 2 2
2 2 2
2 2 1
10 3
1 2 2
0 0 0
1 0 0
0 1 1
0 2 1
1 1 2
0 2 2
2 0 1
2 1 2
0 1 2
10 3
0 2 3
4 0 4
0 4 2
1 1 0
4 0 0
3 1 3
4 1 3
3 3 4
1 0 0
1 1 2
10 3
1 2 1
1 1 2
0 1 2
1 0 2
1 2 2
0 1 1
0 0 0
1 2 0
0 2 0
0 0 1
10 5
2 2 1
2 0 0
2 1 0
2 0 2
1 2 2
0 0 0
0 2 1
0 1 0
0 0 2
1 0 0
10 6
3 1 2
2 0 3
3 0 0
3 0 3
3 3 2
0 2 0
0 1 3
0 3 2
0 2 2
0 3 0
10 8
1 1 3
1 1 4
0 0 0
0 1 3
2 3 3
3 3 2
2 3 1
4 2 0
2 3 4
3 4 2
10 4
1 5 1
0 0 2
4 3 4
2 5 0
0 3 3
5 3 2
3 5 5
5 3 5
0 3 0
2 3 5
10 2
4 0 3
4 1 0
3 1 3
0 4 4
1 3 1
4 0 4
3 2 0
1 0 1
1 3 0
3 4 3
10 8
0 2 0
4 4 2
0 1 1
2 0 0
2 1 1
0 4 0
0 4 3
1 0 4
3 2 2
1 0 3
10 7
5 2 3
0 3 4
0 1 4
0 0 1
1 1 2
3 0 4
4 3 2
3 0 1
1 3 0
4 0 2
10 3
3 3 4
0 4 3
2 1 1
3 0 1
2 2 1
0 3 4
0 3 3
1 4 4
4 2 1
1 2 1
10 3
1 4 1
0 0 2
1 0 3
3 2 1
0 1 1
0 3 0
2 0 0
3 0 1
4 2 2
2 4 4
10 7
0 0 1
2 1 2
0 1 0
1 0 1
2 2 1
2 0 0
1 2 0
1 1 0
0 0 2
2 0 2
10 5
4 0 0
1 3 3
4 2 3
2 5 5
4 3 4
5 4 1
3 2 2
2 1 4
2 3 3
2 0 0
10 8
1 0 1
3 1 1
0 1 0
2 1 2
0 2 1
0 0 2
2 2 1
0 3 3
2 3 0
3 2 1
10 6
2 3 1
2 2 1
1 1 1
1 2 1
0 3 2
1 0 0
0 3 0
2 2 3
3 2 2
3 0 3
10 8
0 4 2
0 2 3
0 2 4
1 4 3
4 4 2
3 4 1
1 4 0
4 0 3
0 0 1
2 4 0
10 2
5 4 3
4 1 5
3 2 3
2 1 4
3 1 5
4 5 2
1 2 3
0 2 2
0 5 3
4 2 2
10 9
0 0 5
5 0 5
5 1 5
1 3 3
3 1 5
0 1 4
5 1 2
2 0 2
2 3 1
5 5 5
10 5
1 2 4
1 4 4
4 2 2
3 0 3
4 2 0
4 1 1
4 1 4
4 3 1
2 2 3
3 1 1
10 7
3 4 4
2 3 3
0 2 3
2 0 0
1 4 0
4 1 3
0 1 0
1 3 4
3 0 2
3 2 1
10 2
0 4 5
4 3 1
5 2 0
2 2 5
2 4 1
0 1 3
0 2 4
4 5 4
2 4 2
5 3 4
10 5
3 4 5
4 5 5
3 3 4
3 1 5
5 0 3
2 3 4
5 5 0
1 3 0
5 5 1
3 5 0
10 7
1 0 2
2 2 1
2 0 1
1 2 0
0 1 1
2 0 2
0 2 1
0 2 0
1 1 0
1 1 2
10 9
0 2 3
1 1 3
3 2 0
0 0 2
0 2 1
2 0 3
0 3 1
1 2 0
1 0 3
1 0 2
10 2
1 1 1
2 2 1
2 0 1
2 2 0
2 1 1
1 0 1
1 1 2
2 1 2
0 2 2
0 0 1
10 5
3 1 1
3 2 1
0 0 1
3 3 3
2 3 4
0 3 1
1 2 0
2 2 3
4 2 1
0 4 0
10 7
2 1 0
2 0 0
1 0 1
0 2 0
2 1 1
1 1 0
2 2 2
2 2 0
1 2 2
2 2 1
10 5
0 1 0
2 0 2
0 2 0
0 1 3
3 2 2
1 3 1
0 2 1
3 2 0
0 1 2
1 2 0
10 4
0 2 3
2 3 1
2 1 3
2 0 0
1 1 3
3 3 0
3 2 3
2 3 0
1 1 0
0 3 0
10 8
3 2 4
0 3 0
3 0 4
0 0 3
4 2 3
2 0 2
1 4 2
3 4 1
3 3 2
2 0 4
10 5
2 2 2
3 2 1
5 1 3
4 1 0
1 3 1
1 1 0
0 2 5
4 4 2
1 0 5
1 4 4
10 9
4 3 0
0 1 0
2 4 1
4 3 4
3 3 3
3 2 3
4 4 4
1 1 1
4 1 0
3 3 4
10 3
1 1 0
0 2 2
1 2 2
2 0 2
2 2 2
2 2 0
0 1 0
2 1 2
0 0 2
2 0 1
10 8
2 5 0
5 0 0
4 2 0
4 4 5
2 0 5
5 3 4
2 5 5
2 0 4
5 0 2
1 4 1
10 6
2 2 1
2 1 0
1 1 0
0 1 0
1 0 0
1 1 1
2 2 2
0 2 1
1 2 0
0 0 0
10 5
3 1 2
2 2 0
1 1 1
1 3 3
1 0 2
3 0 0
2 3 1
1 1 3
2 1 3
3 1 1
10 7
0 1 0
2 2 2
0 0 1
2 1 0
1 2 1
0 1 1
1 0 2
1 1 0
1 0 0
0 0 2
10 3
3 5 4
2 2 1
4 0 5
3 3 2
3 5 1
5 1 1
4 0 1
4 1 1
0 4 2
3 0 0
10 7
1 1 2
2 1 0
0 1 2
1 2 1
0 0 1
0 1 1
2 2 0
2 2 1
0 0 0
2 2 2
10 3
1 1 1
0 1 2
0 1 0
2 1 1
2 1 0
2 0 2
0 1 1
2 0 0
1 1 2
0 0 2
10 9
2 4 2
3 3 3
1 0 0
1 0 3
1 3 4
0 3 4
1 1 1
1 0 2
3 1 4
2 3 1
10 4
0 2 0
1 1 0
0 2 2
2 2 0
1 2 2
2 2 1
0 1 1
2 1 0
0 0 1
1 2 0
10 5
2 1 5
0 1 3
2 0 3
3 0 3
0 4 5
5 3 4
2 1 1
3 5 3
3 4 1
1 1 5
10 5
5 2 5
4 5 1
4 0 3
3 2 5
3 4 1
3 3 2
1 5 3
2 3 1
3 1 1
3 3 1
10 6
1 1 2
2 2 0
0 0 2
2 1 1
0 1 1
1 0 0
0 0 1
0 2 1
1 0 2
2 0 1
10 5
0 2 1
2 2 0
1 1 0
2 0 2
1 2 0
2 0 1
1 0 2
0 2 2
0 1 2
1 1 2
10 9
2 1 2
0 1 2
0 2 1
2 1 0
1 2 2
2 2 1
0 0 0
1 2 0
0 2 2
2 0 1
10 3
3 2 0
3 1 1
0 2 0
0 3 0
1 1 0
1 2 0
0 0 1
1 3 3
2 3 3
3 2 1
10 2
2 1 0
1 2 1
0 0 0
0 2 1
0 0 1
0 2 2
0 1 1
1 1 1
2 2 2
2 0 1
10 5
0 3 1
1 1 3
3 3 3
1 2 2
3 3 2
0 0 0
3 3 1
1 3 3
0 2 0
3 0 0
10 4
0 2 0
1 2 1
0 0 0
0 1 1
1 1 2
2 1 2
2 2 0
1 2 0
0 0 2
0 1 0
10 2
0 0 3
4 1 2
0 0 4
4 2 2
4 3 3
0 3 3
1 3 3
3 3 2
1 1 4
3 4 0
10 8
0 1 0
2 0 0
4 3 2
0 3 4
4 2 1
1 2 3
2 2 1
0 1 3
1 1 3
4 3 4
10 7
0 1 2
1 0 0
3 1 2
0 2 2
2 0 2
0 0 3
1 3 2
2 2 2
2 1 0
1 2 2
10 2
3 1 0
0 2 3
2 2 1
3 3 3
1 2 0
3 2 0
1 0 3
3 3 0
1 3 2
2 1 1
10 7
1 2 1
2 1 1
2 2 1
2 2 0
0 2 1
2 0 2
0 0 2
1 2 0
0 1 0
1 0 0
10 9
1 5 1
4 1 5
2 1 2
0 4 2
2 2 3
3 4 5
2 2 2
3 1 2
3 0 3
2 2 0
10 6
1 3 3
3 0 0
3 2 1
1 1 0
2 3 1
0 3 2
0 0 1
0 1 1
3 3 0
2 2 1
10 4
1 0 1
1 0 0
2 1 1
0 2 0
0 0 2
0 1 0
2 1 2
2 1 0
0 0 1
2 2 2
10 6
2 1 1
2 1 3
2 0 1
1 1 2
2 0 3
0 3 0
3 0 2
1 1 0
3 1 0
0 3 1
10 3
2 0 2
2 2 2
0 0 0
2 0 0
0 2 2
1 1 1
0 0 2
1 0 1
0 2 1
1 0 2
10 6
0 2 0
1 2 2
1 2 0
2 2 0
0 0 0
1 1 0
2 1 2
1 1 1
0 1 0
0 0 2
10 3
3 1 3
1 1 3
0 3 3
1 1 2
3 2 1
0 1 2
0 0 0
1 2 0
0 2 2
0 2 0
10 3
3 0 1
3 3 1
2 3 1
2 0 1
0 2 1
2 0 3
0 0 2
1 1 1
0 3 0
3 0 0
10 7
0 4 2
3 3 2
1 1 2
0 0 3
2 0 1
1 2 3
2 4 0
2 4 1
3 4 3
0 0 1
10 3
4 1 4
0 1 4
4 3 2
3 0 3
0 4 3
4 4 1
3 1 0
0 2 2
2 2 4
4 4 0
10 9
5 3 2
5 0 2
2 3 4
4 2 1
4 4 4
0 1 3
1 4 0
1 5 4
0 3 0
5 4 1
10 2
0 2 1
1 0 3
1 1 0
3 3 1
0 2 2
3 1 0
1 0 1
2 2 3
0 2 3
1 2 2
10 6
2 3 0
1 4 4
4 4 0
0 3 0
1 0 2
0 3 3
3 3 0
1 2 4
4 2 2
0 0 1
10 2
0 3 2
5 0 1
2 5 5
1 2 0
4 4 5
1 5 4
1 1 1
5 2 2
1 3 1
4 1 3
10 4
4 2 3
2 0 4
1 2 4
3 3 1
4 3 4
1 2 3
3 3 0
1 0 4
0 4 3
1 2 2
10 4
1 1 2
2 1 2
2 2 1
1 2 2
1 1 1
0 1 0
0 0 1
2 1 1
1 2 1
0 2 1
10 2
0 2 0
2 1 0
0 2 2
1 1 1
0 0 2
2 2 2
2 0 0
2 1 1
0 0 0
2 1 2
10 4
3 2 1
1 0 4
0 4 4
2 4 1
3 0 3
1 2 2
2 3 1
2 2 4
0 1 3
1 4 4
10 7
2 3 2
1 2 2
0 0 0
0 3 4
2 1 3
3 4 3
0 2 0
2 0 4
4 3 2
3 0 1
10 4
0 2 0
0 5 3
5 2 4
5 5 0
2 3 2
3 2 3
0 2 1
1 3 4
5 1 0
4 5 5
10 2
0 1 0
0 1 2
3 1 0
0 0 0
0 0 2
1 0 1
0 2 3
2 3 0
2 2 1
2 3 3
10 9
2 0 2
1 1 0
1 1 2
2 2 0
0 2 1
1 0 1
2 1 1
2 1 2
0 1 2
0 2 0
10 8
1 2 2
1 2 1
0 0 0
1 1 2
0 0 2
0 2 0
2 2 2
1 0 1
0 2 2
0 1 0
10 6
2 2 2
3 2 1
3 2 3
2 2 3
2 1 3
0 3 3
2 1 0
1 0 0
0 3 0
0 1 3
10 9
2 0 4
0 1 2
3 2 0
2 3 2
3 4 4
2 1 2
0 3 3
2 1 0
0 2 3
0 2 2
10 2
3 3 3
1 4 4
1 2 2
4 5 4
1 3 1
0 5 1
1 1 2
4 1 1
4 3 0
4 1 2
10 8
1 1 1
4 1 2
5 3 2
3 0 3
0 4 0
5 4 4
2 0 0
5 0 5
4 2 3
3 0 5
10 7
4 3 5
3 4 0
3 2 3
5 2 3
0 2 4
3 4 1
5 5 5
5 1 3
1 0 1
3 0 5
10 7
0 5 3
0 2 1
5 0 0
2 4 3
0 1 5
2 1 3
4 1 0
0 5 1
3 3 5
5 5 5
10 9
2 2 2
3 2 1
0 0 2
2 1 3
1 1 2
2 0 3
1 1 1
0 1 2
3 2 2
3 0 2
10 7
1 1 1
1 1 2
2 1 1
0 1 1
1 0 1
2 2 0
1 2 0
2 1 0
2 0 2
0 0 2
10 9
1 2 0
4 1 4
1 3 3
1 1 3
2 4 1
0 0 1
0 1 0
2 4 3
4 3 2
3 0 2
10 3
0 1 2
2 2 2
1 2 2
1 0 1
2 0 2
0 2 1
2 1 1
1 1 1
0 0 2
2 2 0
10 4
1 3 0
0 3 0
1 3 2
1 2 1
3 1 0
0 1 2
2 3 2
0 3 3
3 1 1
1 0 1
10 4
2 5 0
0 5 2
2 4 3
1 1 4
1 4 3
4 5 4
4 2 5
4 1 4
5 4 5
3 4 1
10 5
1 3 2
0 1 2
2 2 2
3 3 0
0 2 0
1 3 0
1 1 1
0 2 2
1 0 3
0 3 3
10 3
0 0 0
2 0 0
1 2 1
2 1 0
1 2 0
1 2 2
0 2 2
2 2 2
0 0 2
0 2 1
10 6
1 1 0
2 1 3
4 1 1
0 3 3
4 0 4
3 1 0
2 4 3
4 1 3
4 0 2
2 0 4
10 4
2 0 0
1 0 0
1 1 2
1 1 0
0 2 2
2 2 2
2 1 1
2 1 2
0 1 0
0 0 0
10 6
3 3 0
2 0 3
2 0 0
4 4 3
3 0 4
4 0 2
3 4 1
1 1 1
2 1 2
0 3 4
10 3
1 1 0
1 1 1
3 1 0
2 2 0
1 2 3
2 0 3
3 3 2
2 0 2
3 1 3
2 0 0
10 7
3 1 3
1 1 2
3 1 0
2 2 3
2 3 0
3 2 0
1 1 0
0 3 0
1 1 3
2 3 3
10 9
1 1 3
1 2 1
3 3 3
0 0 3
1 1 0
3 2 0
0 1 1
0 0 0
1 3 1
2 2 1
10 4
4 0 1
3 0 4
0 3 4
3 1 4
0 4 2
1 1 4
3 2 0
1 4 0
2 3 2
3 2 4
10 3
3 1 0
3 3 0
0 2 3
1 0 1
3 3 2
2 2 0
2 1 2
1 1 2
1 0 2
1 1 0
10 6
1 2 2
1 1 1
0 1 2
2 0 1
1 0 1
1 1 2
0 1 1
2 1 0
2 0 2
1 0 2
10 6
1 0 1
0 0 1
1 1 2
2 2 2
0 2 1
1 2 1
1 0 0
2 2 0
2 1 0
0 0 0
10 5
2 5 1
4 3 2
1 4 4
3 2 1
2 2 4
1 0 1
3 0 0
3 0 1
3 1 5
5 5 4
10 6
3 4 2
3 1 3
1 1 1
3 1 2
0 4 4
0 0 4
3 3 2
3 4 0
3 2 3
2 0 1
10 5
3 3 5
5 4 2
2 5 1
4 4 2
1 1 2
2 4 4
0 5 3
0 5 4
2 5 5
0 1 3
10 9
3 0 2
2 2 0
3 3 5
3 1 1
1 4 1
3 3 3
3 0 4
5 3 0
1 2 2
5 2 0
10 6
2 2 1
3 4 0
5 2 1
0 4 5
1 0 0
5 0 5
2 3 0
5 4 4
0 1 2
3 2 0
10 4
2 2 1
0 0 1
1 2 1
2 1 1
0 1 1
0 2 0
2 0 1
1 2 0
1 0 2
1 0 1
10 5
4 0 4
3 4 3
2 4 0
0 0 4
4 1 1
2 2 3
2 3 1
2 0 3
3 2 2
1 4 0
10 9
4 5 2
5 3 0
5 3 1
0 3 2
0 5 5
0 0 0
3 1 0
5 2 3
3 5 5
2 0 0
10 5
1 0 1
1 0 2
0 1 2
2 1 0
2 0 2
1 1 1
1 1 2
2 1 1
0 2 1
0 2 2
10 5
3 3 3
3 2 3
0 2 1
0 3 3
1 3 3
1 2 3
1 1 3
0 0 1
1 1 0
1 1 1
10 5
3 3 0
1 1 1
3 3 2
2 2 1
3 2 1
1 2 3
1 0 0
0 3 2
1 2 1
2 0 1
10 9
0 5 0
2 4 2
4 2 1
0 0 4
0 0 2
3 1 3
1 3 1
5 5 3
2 0 4
0 4 0
10 9
4 1 4
1 4 2
1 4 1
3 1 2
4 0 3
1 3 1
4 4 2
0 4 3
3 3 0
1 0 3
10 9
4 1 3
3 5 4
2 3 3
1 4 3
4 2 3
1 1 5
2 5 2
5 1 5
1 1 2
0 0 2
10 4
3 1 1
0 1 3
1 1 3
1 3 2
1 3 1
2 3 3
3 0 2
3 2 0
2 1 3
3 0 1
10 9
0 2 0
0 1 2
0 2 3
1 2 0
3 2 1
2 0 1
1 0 2
3 3 2
2 3 1
0 1 0
10 9
3 4 2
4 3 3
1 2 4
1 4 0
2 4 2
1 1 2
4 1 3
4 2 4
1 0 1
0 3 1
10 7
2 3 2
2 1 4
1 1 1
4 4 3
3 4 1
0 2 4
3 4 4
2 3 1
3 1 4
0 0 0
10 2
2 3 2
2 0 3
3 0 0
1 3 2
3 1 3
2 1 3
1 0 0
2 3 1
3 3 3
3 3 1
10 2
1 1 5
1 4 2
2 0 4
5 5 3
0 2 1
4 3 2
4 4 0
3 2 5
4 1 4
2 3 2
10 8
3 2 1
0 0 0
2 3 1
0 3 0
2 0 0
1 3 2
1 1 3
3 2 0
0 2 0
2 1 2
10 3
1 1 0
0 2 2
1 0 1
0 0 2
1 2 0
0 1 1
1 2 1
2 1 1
2 0 1
2 0 0
10 4
1 0 0
2 2 0
3 2 0
2 0 0
1 2 3
0 3 3
2 1 0
0 1 3
1 3 2
3 1 0
10 4
0 1 5
4 4 5
0 4 2
1 3 0
0 1 1
2 5 0
1 0 2
5 4 5
3 4 4
2 2 4
10 9
0 2 1
2 2 2
3 2 2
1 0 2
3 0 0
3 3 3
3 0 2
2 0 0
0 1 3
1 0 1
10 9
2 0 2
4 2 1
3 4 4
4 0 0
4 1 2
1 2 4
1 4 2
2 1 2
3 4 0
1 1 4
10 6
0 0 2
0 1 1
1 1 2
0 1 0
1 2 2
2 2 2
0 1 2
1 0 0
0 2 0
2 2 1
10 4
0 0 2
1 0 0
5 4 3
4 5 2
2 0 3
3 2 5
3 2 1
5 0 4
2 1 2
3 2 3
10 2
2 1 2
3 2 2
2 0 0
0 1 0
3 2 0
0 0 1
2 2 0
0 3 2
0 2 1
3 1 1
10 3
0 0 3
1 0 3
2 1 0
2 4 3
2 2 4
0 0 0
4 1 4
2 0 3
0 2 4
4 0 1
10 8
2 3 2
0 4 0
1 2 3
3 0 0
2 0 2
2 4 3
1 0 1
4 0 4
1 1 3
1 1 4
10 4
0 4 1
4 0 1
0 1 1
2 1 2
3 2 4
0 4 0
1 1 4
0 0 4
4 1 1
2 2 3
10 4
2 0 0
2 1 1
1 0 1
0 2 2
1 1 2
2 2 1
0 0 1
1 0 0
0 0 2
1 0 2
10 5
2 2 3
0 0 0
3 2 1
0 1 1
0 1 2
1 3 3
3 3 1
1 2 2
2 2 0
2 2 2
10 7
0 3 2
0 4 5
3 2 0
1 0 4
0 1 2
1 3 1
4 3 0
3 0 1
1 5 5
5 2 0
10 4
2 0 3
1 3 0
1 3 2
3 0 1
2 0 1
3 3 2
2 0 0
0 0 0
2 3 2
2 1 3
10 7
5 3 5
0 3 3
5 2 2
0 0 0
2 3 2
5 3 4
1 5 2
4 3 4
2 1 1
2 3 0
10 4
3 1 1
2 3 0
4 2 3
0 3 4
4 3 3
2 1 0
0 1 2
1 1 1
4 0 3
1 0 1
10 5
0 2 0
2 0 1
2 1 0
1 2 2
0 1 0
1 0 1
2 1 2
1 1 0
1 2 1
1 1 2
10 4
1 1 1
4 2 4
4 0 3
4 1 0
1 2 0
2 4 3
4 1 3
0 0 2
2 4 2
4 0 0
10 4
2 3 3
2 2 3
1 3 0
0 1 2
2 1 2
2 0 1
0 0 3
0 3 2
2 1 0
2 3 1
10 4
1 5 4
4 0 4
2 3 3
4 0 2
5 4 4
4 4 5
2 2 5
0 5 0
1 2 4
1 4 1
10 5
1 0 0
1 2 0
0 0 2
0 0 1
0 2 2
2 1 2
1 1 2
1 2 1
0 2 1
1 0 1
10 3
0 2 3
1 0 0
3 3 0
0 1 2
0 2 1
1 1 1
1 2 0
3 2 0
1 1 2
3 0 2
10 2
0 2 0
2 0 1
2 2 2
1 0 2
1 2 0
1 1 2
0 1 1
0 2 2
1 1 0
2 1 2
10 8
1 2 2
4 3 2
3 3 0
2 1 0
1 3 0
2 0 3
0 1 2
2 2 1
0 4 2
1 4 2
10 9
1 1 0
2 3 2
4 0 4
4 2 3
1 0 1
3 3 4
4 4 3
4 1 2
0 4 1
1 1 1
10 6
1 2 0
1 0 0
2 1 2
1 2 1
1 2 2
0 2 1
0 0 1
1 1 0
2 2 2
1 0 1
10 5
1 0 2
4 2 1
2 2 0
1 3 4
0 3 2
4 3 4
0 4 1
2 3 4
1 1 0
3 0 0
10 7
3 2 1
1 0 1
1 2 3
1 0 4
1 1 2
4 3 1
2 2 3
3 3 4
3 4 3
0 4 3
10 4
1 2 0
0 0 2
3 1 1
0 2 0
0 0 3
2 3 3
2 3 1
1 3 1
2 2 1
3 2 3
10 5
1 0 1
2 1 0
0 2 2
0 0 1
2 2 0
1 1 2
2 0 0
1 0 2
1 2 0
2 1 2
10 5
5 4 3
0 3 3
2 2 0
2 2 4
1 1 0
0 4 3
0 1 0
3 0 4
1 5 5
0 2 4
10 8
1 0 1
1 1 0
2 2 1
1 1 1
1 0 2
2 0 0
0 2 0
0 1 1
1 2 0
0 0 0
10 7
3 0 3
4 2 1
4 2 3
1 2 3
1 0 4
2 1 3
1 0 0
3 2 0
0 1 4
2 3 1
10 8
2 4 4
0 2 4
1 4 3
3 0 0
4 1 1
0 1 1
4 2 1
4 0 2
1 4 4
3 2 0
10 7
2 1 4
5 4 3
3 2 0
3 2 1
4 5 1
2 3 0
5 5 3
4 2 4
2 4 1
5 2 5
10 8
2 3 1
2 3 0
2 1 0
0 1 0
2 3 3
3 3 3
1 2 2
1 1 2
3 0 1
2 0 2
10 3
2 0 1
2 1 2
0 0 1
0 1 2
2 1 0
1 1 1
1 1 0
0 0 0
1 1 2
1 2 0
10 2
1 0 1
1 0 0
2 1 2
1 2 0
0 1 1
2 2 0
0 2 2
0 0 2
0 0 1
1 2 2
10 8
1 2 2
0 2 1
2 1 1
2 0 0
2 1 0
1 1 0
2 1 2
0 0 0
1 1 2
1 1 1
10 7
0 0 2
0 2 1
2 0 1
1 2 0
2 2 1
2 1 0
3 2 1
2 1 1
1 0 3
2 2 2
10 6
3 4 0
2 0 1
5 2 3
1 2 5
2 4 0
4 5 1
1 1 2
0 0 1
3 0 4
3 3 3
10 7
3 0 0
3 3 0
0 0 0
2 4 4
3 2 3
4 2 2
4 0 0
1 0 0
0 2 1
3 3 4
10 9
2 4 3
4 3 1
0 2 5
3 1 4
2 1 5
2 1 4
4 5 4
4 0 1
0 3 1
0 5 2
10 7
4 0 2
3 1 4
3 3 3
2 2 3
4 3 4
4 0 4
2 4 1
4 1 1
4 4 4
1 0 1
10 9
2 0 1
1 1 1
2 2 2
0 2 0
0 1 2
0 1 1
2 2 0
2 0 2
2 1 0
2 1 2
10 9
1 0 2
0 1 3
2 0 0
1 0 1
2 2 0
0 2 0
2 1 1
3 1 2
2 2 3
0 3 3
10 8
2 2 4
3 1 2
0 1 2
0 1 3
2 3 4
2 4 2
0 3 1
4 1 2
0 4 3
0 1 4
10 2
4 2 3
2 4 2
4 1 0
4 0 3
2 2 5
0 2 1
3 0 5
3 3 5
3 1 2
1 5 5
10 7
1 2 2
2 2 0
1 1 0
3 0 0
2 0 2
0 1 2
2 0 1
2 0 3
3 1 1
2 3 3
10 5
1 0 1
1 1 1
2 0 2
0 0 0
0 2 2
0 2 0
0 1 2
1 1 0
1 0 2
2 2 2
10 7
3 3 3
3 0 1
0 0 1
3 1 0
2 2 1
1 2 3
2 1 0
2 3 0
3 0 0
0 0 3
10 4
2 0 2
0 0 1
0 1 0
0 0 0
2 0 1
0 1 2
0 2 1
1 2 1
1 0 2
1 2 0
10 8
0 1 2
0 0 3
3 2 3
0 3 0
2 1 2
2 1 0
3 1 2
3 0 3
0 2 2
2 2 3
10 4
2 0 1
0 2 2
1 1 1
0 1 2
2 0 0
0 0 1
1 0 0
1 0 2
1 0 1
0 1 0
10 6
1 2 2
0 2 2
2 1 2
1 2 0
2 0 0
1 2 1
0 1 1
0 1 2
0 1 0
1 0 1
10 8
1 2 2
0 2 1
1 0 0
0 1 2
2 0 2
2 1 2
2 2 2
2 2 1
0 2 2
1 0 2
10 7
3 3 3
1 4 4
1 4 0
1 3 4
2 1 1
4 3 0
0 1 1
2 3 2
0 2 0
4 4 2
10 2
4 0 0
2 1 3
0 4 1
3 4 2
2 1 0
2 1 1
1 4 0
2 0 4
0 2 4
3 4 1
10 8
4 3 0
0 5 5
4 5 1
1 3 1
0 3 4
1 3 5
4 0 2
1 0 3
0 0 4
4 5 0
10 5
2 5 2
0 5 5
4 4 4
5 2 4
4 1 2
0 2 4
3 2 0
2 0 4
4 0 1
4 4 0
10 7
3 3 3
2 0 1
2 1 3
0 3 0
4 4 2
1 2 2
2 3 3
1 1 0
0 1 3
0 3 2
10 3
1 3 5
0 5 1
4 3 1
0 0 0
1 1 3
4 1 5
5 5 4
0 2 1
3 5 3
1 3 0
10 2
4 1 1
0 2 0
0 0 2
2 1 2
1 4 4
2 2 3
4 0 4
4 2 0
2 0 2
1 1 3
10 7
3 2 1
1 0 4
4 0 4
0 3 2
3 0 0
2 1 3
3 2 0
2 2 0
4 2 3
4 4 3
10 3
5 1 0
4 0 2
2 1 4
3 5 3
2 0 1
5 3 5
3 3 0
0 0 3
1 2 2
1 2 0
10 6
2 3 4
4 2 4
2 1 1
2 1 0
2 4 4
2 4 3
3 4 0
3 1 4
3 4 2
4 1 0
10 6
2 4 4
0 3 3
1 2 2
2 4 3
0 1 3
1 1 4
4 0 3
4 4 1
3 1 1
0 3 4
10 6
1 0 3
1 0 1
1 3 1
2 3 1
2 4 2
2 3 3
3 2 3
3 3 0
0 2 3
4 1 1
10 5
4 5 1
3 1 4
3 1 3
3 4 2
0 0 0
3 2 1
0 2 0
5 5 3
2 1 2
5 2 4
10 7
0 3 0
2 2 4
3 2 1
2 2 1
4 4 4
4 2 1
1 3 0
4 0 1
2 2 3
2 4 4
10 3
3 0 2
3 1 1
1 3 0
0 0 3
2 3 0
2 2 2
3 3 1
3 2 2
1 0 3
2 0 1
10 9
2 0 2
1 0 2
0 2 0
1 1 0
2 2 2
1 1 2
1 2 1
0 0 1
1 0 0
2 1 1
10 4
2 0 0
0 2 0
1 0 0
0 1 0
2 1 2
2 1 0
2 0 2
1 0 1
1 1 1
1 0 2
10 2
5 3 2
4 2 4
4 4 0
5 4 4
2 4 1
2 0 2
0 1 5
5 4 0
2 3 3
0 0 5
10 3
1 1 1
0 3 2
0 0 1
3 0 1
1 0 2
3 2 0
2 3 1
1 3 3
0 1 3
0 0 0
10 4
2 2 2
1 4 3
3 1 4
2 3 4
0 2 0
1 2 2
4 0 3
4 0 4
4 3 1
3 3 3
10 4
0 0 2
1 3 2
2 2 3
1 0 3
0 2 3
0 3 1
0 1 2
1 0 2
3 2 0
3 0 3
10 5
3 0 1
3 3 1
0 1 1
2 0 3
1 1 1
0 2 1
0 2 2
3 1 0
2 1 2
1 2 3
10 7
1 3 3
4 3 1
4 5 5
4 0 3
4 4 3
2 4 1
0 3 2
0 4 1
2 2 2
1 2 2
10 3
2 1 3
3 2 1
3 0 1
3 2 3
0 2 2
1 3 0
2 2 3
0 2 0
0 0 2
2 2 0
10 8
2 1 2
2 1 1
2 2 2
1 1 0
0 2 2
1 1 2
1 2 0
1 0 0
0 1 2
2 0 1
10 4
0 2 1
0 2 0
3 3 3
3 1 0
3 0 3
3 2 3
2 3 0
3 0 0
0 0 1
2 3 2
10 6
2 2 0
3 0 1
2 1 3
1 2 3
1 0 0
3 1 3
1 1 3
1 1 0
3 1 1
0 0 0
10 7
1 2 0
2 0 1
0 1 2
1 1 2
0 2 1
1 2 2
1 0 0
2 2 0
2 0 2
2 1 1
10 9
0 1 1
3 1 2
1 4 2
4 3 4
0 2 2
4 2 1
2 0 2
2 5 3
3 1 3
0 2 4
10 7
0 0 0
2 0 0
0 1 1
0 1 2
0 2 1
0 2 2
0 0 2
2 1 2
1 2 0
2 2 0
10 6
0 1 1
2 1 1
0 1 2
2 2 2
0 2 0
2 1 2
0 2 2
1 1 1
1 1 0
2 2 0
10 3
0 0 2
2 2 2
1 2 0
0 2 0
1 0 2
2 2 0
0 1 0
2 0 1
2 1 2
1 2 2
10 3
4 2 2
0 3 3
3 2 1
3 3 3
1 4 1
2 1 2
2 4 4
2 4 0
0 4 2
1 2 3
10 2
2 1 3
3 2 0
2 2 1
2 3 1
2 2 3
1 2 0
3 2 3
0 2 1
3 2 2
2 0 2
10 9
1 2 3
1 1 2
0 3 0
2 0 3
2 0 0
1 2 1
3 0 1
2 2 2
2 3 2
0 1 2
10 6
1 3 2
1 0 4
0 4 4
1 3 0
2 0 2
4 1 2
3 1 0
2 3 3
4 3 1
2 0 0
10 3
4 0 1
2 1 2
3 0 4
0 4 0
1 0 3
1 3 1
3 3 4
2 0 0
4 2 0
3 2 0
10 6
0 2 0
0 1 0
1 1 1
1 0 1
2 0 1
0 0 1
1 1 2
2 2 1
0 1 1
0 1 2
10 5
1 1 2
1 2 1
0 0 1
2 2 0
0 1 0
0 2 0
2 0 2
1 0 2
2 2 2
1 1 1
10 3
3 1 2
0 1 3
3 4 1
4 1 3
5 1 1
0 1 1
1 2 2
5 2 2
0 0 3
2 4 5
10 9
1 3 0
4 4 3
3 4 3
2 0 3
1 2 2
0 4 0
2 1 2
4 1 1
3 2 0
1 4 2
10 8
0 1 0
0 2 0
0 0 2
0 2 1
0 0 1
2 0 1
1 2 2
0 0 0
1 0 2
2 0 0
10 6
2 3 2
4 0 2
0 4 0
1 4 3
2 0 2
2 2 1
1 3 0
3 1 2
4 0 4
3 0 1
10 6
1 0 2
0 2 1
1 2 2
0 0 0
1 1 2
1 1 0
1 0 1
2 0 0
2 1 2
2 2 0
10 4
3 1 2
1 0 4
0 4 0
1 1 4
2 2 0
2 1 4
2 1 0
3 4 4
4 3 0
3 2 0
10 2
0 2 4
4 2 2
5 2 5
1 5 3
0 0 5
2 0 3
3 1 2
3 0 2
4 5 0
1 1 3
10 8
3 5 2
4 0 0
0 3 1
1 2 1
0 5 0
3 4 0
1 3 1
5 0 5
4 5 0
5 3 3
10 6
1 2 1
2 0 0
0 2 0
0 1 1
1 2 2
0 1 2
2 2 2
2 1 0
2 0 1
1 0 2
10 4
3 0 2
1 0 1
0 2 4
1 3 2
4 0 1
1 0 0
0 3 0
0 3 4
1 2 4
3 2 1
10 8
2 2 2
0 1 1
1 2 1
1 1 1
1 1 0
0 0 0
2 0 0
0 0 1
0 2 2
1 2 0
10 2
4 2 1
4 0 0
4 1 4
3 3 2
2 0 2
3 4 0
2 4 3
2 2 4
3 4 3
1 2 3
10 3
0 1 0
0 0 0
3 3 3
2 3 3
3 2 3
0 1 2
2 0 0
1 0 3
0 1 1
2 1 1
10 7
2 0 0
3 2 0
3 3 0
2 3 2
1 1 0
3 0 1
4 3 3
3 0 4
1 3 2
1 0 1
10 2
3 1 0
3 2 3
1 0 3
2 0 1
0 3 3
3 1 1
1 3 0
2 2 3
1 2 3
1 3 1
10 4
3 0 2
2 3 3
0 1 3
0 3 1
2 1 3
0 0 0
3 0 0
1 1 3
0 3 2
2 3 0
10 7
5 4 3
1 4 1
5 1 4
1 5 5
4 1 5
2 4 4
2 1 3
0 4 1
0 2 4
3 0 5
10 6
1 2 3
3 3 0
1 3 2
2 1 0
0 0 1
3 0 1
1 3 0
1 3 1
3 0 0
1 0 2
10 7
1 0 2
1 1 3
2 1 3
0 1 2
3 3 3
0 1 0
2 0 4
4 4 0
1 4 1
2 3 3
10 3
4 4 3
2 5 4
2 5 2
2 0 0
2 2 3
5 0 5
4 1 4
5 1 4
5 3 4
4 2 3
10 4
2 1 3
3 0 0
4 4 2
1 1 3
3 3 3
1 3 2
2 1 4
1 4 3
0 4 0
3 2 3
10 4
3 4 1
4 0 3
2 1 1
0 1 2
5 5 3
4 5 3
1 3 5
5 3 3
5 3 5
5 1 3
10 3
1 0 3
1 2 1
1 0 1
3 0 0
1 3 1
2 2 0
0 3 2
2 0 2
3 0 1
0 1 1
10 2
5 0 4
1 5 3
0 1 1
3 0 2
4 2 1
4 1 0
2 0 5
4 5 2
4 1 5
5 5 1
10 8
1 0 2
1 1 1
0 0 0
2 1 1
1 1 2
1 0 0
1 2 0
2 2 1
2 2 0
1 2 2
10 2
0 0 3
2 0 3
1 1 3
2 3 1
0 2 0
3 3 0
3 0 2
3 2 0
2 3 3
0 3 3
10 4
4 2 4
3 2 2
2 4 2
2 0 3
3 4 0
2 4 1
2 2 1
4 3 4
0 1 2
0 4 3
10 4
3 3 0
3 3 2
2 0 3
0 2 3
1 3 0
2 2 0
2 3 2
2 2 2
3 2 2
3 1 1
10 2
2 1 1
0 0 1
0 0 2
1 2 0
1 1 1
2 2 1
0 0 0
2 0 2
1 0 2
2 0 0
10 9
0 3 0
2 0 1
2 0 3
1 3 2
0 1 1
1 1 0
0 2 3
2 2 2
0 3 1
3 3 1
10 4
3 1 3
3 2 2
4 2 0
0 3 4
3 3 1
1 0 2
2 0 4
0 3 2
4 3 2
4 2 2
10 4
0 5 4
3 5 0
5 0 4
3 5 4
5 2 5
5 3 1
1 3 1
4 4 1
2 0 3
3 5 3
10 6
1 1 0
3 4 3
2 2 2
4 3 3
2 2 4
2 1 4
0 2 4
3 2 1
2 1 0
4 0 2
10 2
4 0 2
2 3 0
1 3 1
0 2 4
0 2 1
3 4 4
2 2 0
1 2 4
1 1 4
2 4 2
10 4
2 0 1
2 2 0
1 2 1
0 0 1
1 0 2
1 2 0
0 2 0
0 2 2
1 1 1
2 0 0
10 3
0 2 3
0 1 2
0 5 1
3 0 1
2 5 2
0 0 1
5 3 3
5 2 1
5 2 0
2 0 1
10 3
1 1 0
0 1 0
1 1 1
0 0 2
2 2 0
2 2 2
0 1 1
2 1 1
1 2 1
0 2 2
10 6
1 4 2
1 2 0
1 1 1
2 3 2
3 2 1
2 0 0
4 4 2
2 4 1
2 1 1
0 1 0
10 6
3 2 0
1 3 2
0 2 2
2 3 3
3 2 1
0 2 1
1 1 0
0 0 1
3 3 3
0 0 3
10 8
2 2 3
3 3 2
2 1 2
3 4 2
2 3 1
4 1 2
4 4 1
1 2 2
1 3 1
1 2 1
10 5
1 0 0
0 0 2
0 2 1
2 2 2
0 1 0
1 1 0
1 0 2
1 2 2
2 2 0
1 2 1
10 2
0 2 1
0 1 5
2 1 3
3 4 0
2 2 5
1 2 5
3 4 4
3 2 4
4 4 4
3 3 0
10 3
0 1 1
0 1 2
3 0 2
5 2 1
5 3 1
5 1 5
3 3 4
5 1 0
4 2 1
3 4 1
10 5
3 0 3
2 4 4
4 1 3
2 4 3
1 0 2
5 1 2
1 5 2
0 3 1
2 5 1
1 5 4
10 9
0 1 2
2 2 2
5 5 3
4 2 3
4 0 1
4 4 3
2 5 3
2 4 0
5 5 2
3 4 0
10 9
3 1 4
1 0 3
2 4 5
1 3 2
0 5 0
0 3 3
1 3 4
0 1 2
4 5 2
0 4 3
10 2
0 3 2
1 0 2
1 1 1
2 0 3
1 3 2
1 2 2
2 1 2
3 0 1
1 3 0
2 2 2
10 5
0 1 0
2 2 1
0 4 0
0 1 3
1 0 1
3 4 1
1 3 1
4 0 4
0 3 4
3 0 3
10 6
2 3 4
0 1 2
2 1 3
0 4 4
0 4 1
1 3 1
3 1 1
1 0 2
1 3 0
0 0 3
10 2
4 2 3
0 5 5
0 1 0
1 3 4
1 3 0
2 3 4
3 1 2
2 0 5
4 2 5
3 2 2
10 6
1 1 0
3 0 5
4 3 4
2 4 0
4 1 4
4 5 1
0 0 4
5 3 5
2 4 5
0 0 2
10 4
4 2 1
1 0 3
0 4 5
3 2 4
5 4 4
0 1 0
3 5 3
5 0 3
2 0 0
5 3 3
10 9
2 1 2
1 3 0
0 1 1
3 3 2
1 0 2
2 1 1
1 3 1
1 2 3
2 3 1
2 0 3
10 9
3 1 0
4 3 2
3 2 1
3 2 2
3 3 2
4 1 2
1 3 0
4 3 4
2 4 3
3 1 1
10 6
3 2 3
3 3 3
1 5 0
1 0 2
2 1 2
5 0 3
3 4 5
3 4 4
4 2 3
0 4 3
10 4
4 0 3
1 3 2
3 1 1
4 4 1
0 3 4
2 1 5
3 4 1
3 0 3
0 4 2
4 5 0
10 4
2 1 1
0 0 2
2 0 0
1 0 1
2 2 2
1 1 1
0 0 0
2 2 1
2 1 2
0 2 2
10 5
1 1 0
3 2 0
2 0 1
2 0 2
0 0 3
3 0 3
1 0 1
3 2 1
1 1 3
0 1 1
10 7
2 1 2
3 1 1
1 3 4
3 3 2
2 0 1
3 2 2
4 2 1
1 2 2
3 3 1
3 3 0
10 3
0 2 3
1 1 2
0 1 4
1 3 2
4 0 2
1 4 2
4 1 1
0 3 3
2 1 4
1 4 1
10 7
3 3 1
0 1 2
0 1 1
3 3 3
2 1 2
0 1 0
1 0 0
1 3 1
0 3 2
2 0 2
10 5
3 0 0
3 2 0
2 0 1
1 0 3
3 1 3
1 3 3
2 3 1
3 0 3
2 1 1
2 3 3
10 6
2 0 0
0 1 1
2 0 1
2 2 1
0 0 0
0 1 0
1 1 2
0 2 1
1 0 2
0 2 0
10 4
2 0 2
2 2 1
1 2 2
0 1 1
0 0 0
0 1 0
0 0 2
1 1 0
0 0 1
2 0 1
10 5
0 1 0
2 0 1
1 2 0
1 0 2
0 0 2
1 1 2
1 0 1
2 2 1
0 1 1
0 2 0
10 8
0 3 4
1 5 1
0 3 5
5 1 5
2 3 5
1 4 4
3 1 1
4 4 2
2 0 5
5 3 5
10 5
1 4 2
1 5 0
3 3 1
5 1 2
3 0 3
5 1 4
5 2 0
2 1 3
0 3 5
1 5 1
10 6
0 2 1
1 3 3
3 1 2
3 1 4
3 4 1
2 3 4
1 2 0
4 3 0
4 4 1
2 0 2
10 3
2 2 0
1 1 3
1 2 1
0 0 1
0 3 3
0 1 1
3 3 3
3 1 3
0 0 2
2 3 0
10 3
0 2 0
3 0 3
4 1 4
3 3 4
1 3 1
4 4 3
4 2 4
1 4 2
1 0 3
2 3 0
10 9
0 1 0
3 2 3
3 1 2
3 3 1
0 0 2
1 0 2
3 2 0
0 2 0
0 1 3
3 3 0
10 7
1 4 0
4 3 3
1 2 3
1 3 4
2 1 1
1 1 0
0 4 0
3 4 0
4 1 4
2 2 2
10 2
2 0 2
4 0 2
4 3 1
4 2 4
0 4 2
2 3 3
4 2 3
0 0 0
1 0 4
4 2 0
10 8
5 0 5
5 5 3
0 3 5
4 2 1
4 0 1
0 0 1
2 1 3
2 3 2
1 0 5
1 2 5
10 2
0 0 0
1 0 0
0 1 1
0 2 2
1 0 1
1 2 2
0 2 1
2 0 2
0 0 1
1 1 2
10 7
2 0 1
0 0 2
0 1 2
2 0 2
2 2 1
0 2 1
1 1 0
1 1 2
1 2 2
0 0 0
10 9
2 2 2
2 3 3
2 0 2
3 0 1
3 1 2
2 1 2
2 0 0
3 3 3
3 3 2
1 1 1
10 2
0 1 3
0 0 5
5 0 1
0 2 0
3 3 3
4 2 2
3 4 1
0 4 5
5 4 3
3 3 4
10 7
1 2 1
0 2 2
2 1 0
0 0 2
0 1 2
2 0 0
2 1 1
0 0 0
0 1 1
1 1 2
10 7
0 1 3
2 2 4
4 0 1
4 4 1
4 2 3
4 2 4
4 1 3
0 4 5
0 1 4
1 0 1
10 8
3 2 5
0 4 2
5 0 4
5 1 1
2 0 2
1 1 4
0 2 5
4 0 1
2 4 5
1 1 5
10 3
2 4 4
4 2 2
0 1 2
2 1 2
3 1 3
2 3 2
5 0 0
2 4 1
2 4 5
4 1 4
10 2
1 0 0
0 0 2
2 2 0
1 0 2
1 1 0
2 2 1
0 2 1
2 1 2
2 1 0
0 1 2
10 2
5 2 3
2 0 0
0 5 1
1 1 4
4 5 3
5 5 2
5 0 0
3 0 3
1 4 1
4 3 4
10 8
2 1 2
1 0 0
2 2 2
2 2 0
1 2 2
1 2 1
2 1 0
0 0 0
0 1 2
1 1 0
10 6
5 4 0
5 4 4
2 1 4
0 5 1
2 5 5
2 2 2
4 3 4
5 1 1
5 1 0
5 0 5
10 5
0 3 0
1 1 2
2 2 1
0 3 2
1 1 1
2 1 1
3 1 1
1 3 1
1 2 0
0 0 1
10 9
2 2 2
1 2 2
0 1 2
1 2 1
2 0 1
1 0 0
2 1 2
0 1 0
1 1 0
0 0 0
10 3
3 3 2
1 1 0
2 4 3
4 4 2
4 0 2
4 2 0
4 4 4
3 2 0
3 0 0
0 2 1
10 3
2 5 0
0 2 1
1 4 2
0 3 4
2 0 3
3 2 0
1 0 2
3 1 3
5 2 3
0 3 1
10 9
2 2 1
0 1 1
0 0 2
2 2 2
1 2 0
2 0 2
0 0 1
0 1 0
1 1 2
0 0 0
10 3
1 2 1
1 0 2
3 1 0
1 1 1
0 1 0
3 2 1
3 2 2
0 2 1
0 3 2
1 1 3
10 5
0 0 1
1 2 1
1 2 2
2 0 0
2 2 0
0 2 2
1 1 2
0 1 2
1 1 1
2 2 2
10 7
1 4 3
3 1 4
3 1 3
1 3 1
3 2 2
3 3 0
0 1 1
1 2 1
1 0 1
2 0 4
10 8
1 5 2
2 1 3
1 2 2
3 0 1
4 4 5
2 4 1
4 0 2
4 1 5
0 0 2
5 3 3
10 5
2 1 0
0 2 1
2 2 1
0 1 0
0 2 2
1 0 1
1 1 2
1 0 0
1 2 2
2 0 0
10 3
4 3 4
1 1 1
2 1 4
2 2 2
1 3 4
1 0 2
2 0 3
0 2 2
3 3 3
0 2 0
10 2
3 1 2
4 4 4
0 2 4
4 2 2
0 2 1
4 3 0
3 4 2
3 4 4
2 0 3
2 1 3
10 2
1 0 0
2 1 1
2 1 2
1 1 2
1 1 1
1 2 2
0 2 1
2 2 1
1 1 0
0 2 0
10 9
2 2 2
2 2 0
4 1 1
2 1 2
4 4 3
1 0 0
0 0 3
1 0 2
1 2 0
2 4 0
10 6
5 5 4
3 0 2
1 5 4
4 5 2
1 2 3
2 0 4
4 3 5
3 1 2
3 5 0
5 3 2
10 3
3 0 2
4 1 0
4 0 2
3 0 4
5 0 2
2 3 2
5 0 4
3 4 3
1 3 3
4 3 0
10 2
1 4 0
4 5 3
3 1 2
4 1 4
2 1 3
5 1 2
5 4 0
5 0 2
1 5 0
3 3 0
10 9
2 2 1
2 1 0
1 1 2
2 0 1
0 1 2
0 1 1
2 1 1
2 0 0
0 0 2
0 0 1
10 8
1 4 4
3 0 5
5 5 1
4 5 5
3 1 3
2 1 1
2 1 4
4 4 0
2 4 3
2 4 0
10 9
1 0 0
1 3 3
2 2 2
0 1 2
2 1 0
1 3 1
2 0 3
1 0 1
0 0 2
2 1 3
10 8
2 2 1
2 1 1
0 2 1
0 1 2
0 2 0
2 0 0
0 1 1
1 2 2
2 1 2
2 0 1
10 2
0 1 0
2 1 1
1 2 0
2 0 0
1 0 1
1 1 2
1 0 2
0 1 1
2 2 0
1 0 0
10 4
0 0 4
3 3 0
4 5 5
2 2 4
1 1 3
2 5 3
1 2 2
0 1 5
1 3 5
4 2 0
10 3
2 2 1
2 0 0
0 1 1
3 0 0
3 3 3
3 1 2
0 1 3
1 3 2
2 0 1
1 0 2
10 8
5 3 0
2 4 5
5 4 3
3 2 4
2 2 5
4 5 5
2 1 4
0 4 3
3 5 1
5 1 1
10 4
0 1 0
1 1 2
2 1 1
2 2 1
1 1 0
1 2 2
0 0 1
2 0 1
2 1 2
1 0 1
10 8
0 0 2
0 2 1
0 2 2
2 0 0
1 1 2
2 1 1
0 2 0
2 2 0
0 0 1
2 2 1
10 6
1 0 1
0 1 0
1 1 2
1 2 2
2 2 0
2 0 2
0 2 1
0 0 2
2 2 1
1 0 0
10 8
2 2 1
1 2 1
0 0 0
0 2 1
1 0 1
1 2 0
2 0 2
1 1 0
2 0 0
2 2 0
10 8
2 2 2
3 0 2
2 2 3
4 2 3
2 1 1
3 4 4
3 2 2
2 2 4
4 3 0
3 0 0
10 8
1 3 0
2 3 0
1 2 3
3 1 0
3 3 2
2 1 2
2 2 1
2 1 3
0 3 2
0 1 1
10 3
1 3 3
0 1 1
4 0 3
3 4 2
1 0 2
2 3 4
2 4 2
0 1 4
1 2 1
0 2 4
10 4
0 2 2
1 2 2
2 3 2
2 0 2
0 0 0
1 2 1
3 2 1
0 1 1
0 3 3
1 1 2
10 6
1 0 0
0 2 0
1 1 0
1 1 1
1 1 2
2 0 1
2 2 1
2 2 2
2 0 2
0 1 0
10 7
3 1 0
0 2 2
1 2 0
1 1 3
1 0 1
2 0 2
2 3 2
3 0 2
0 2 1
0 3 2
10 4
3 2 1
2 0 2
3 3 3
4 3 4
0 4 2
4 4 4
3 2 2
1 3 3
2 2 1
1 0 1
10 8
3 0 3
3 2 3
1 0 2
0 0 3
0 1 1
0 0 0
2 0 0
3 0 1
1 3 0
3 1 2
10 9
0 2 0
1 2 1
0 2 2
1 2 2
2 1 2
2 2 1
2 0 1
1 0 2
0 0 0
2 2 0
10 3
4 2 1
3 1 4
1 2 4
3 1 2
3 1 3
2 1 0
1 3 4
0 2 1
2 2 3
0 2 0
10 6
2 0 3
2 2 2
2 1 1
0 0 2
0 1 0
2 0 0
0 0 1
1 0 2
3 0 3
1 3 3
10 8
2 1 5
2 4 3
3 0 3
5 0 3
4 0 3
3 1 0
4 0 1
5 3 4
2 2 3
1 4 2
10 3
4 2 4
4 3 0
1 3 0
1 0 0
2 2 4
2 2 0
0 4 3
2 3 2
3 1 3
1 1 3
10 2
1 2 2
1 1 0
0 0 1
3 1 0
1 2 0
3 3 3
2 2 3
2 1 1
0 3 2
3 3 1
10 4
0 3 2
2 4 3
5 0 4
5 3 1
1 5 3
1 0 2
0 4 0
1 5 5
0 0 5
5 0 3
10 3
2 3 4
4 0 2
1 5 4
5 3 5
1 3 0
5 3 4
4 1 4
4 3 3
2 5 3
4 4 0
10 8
1 2 3
2 0 1
3 3 2
1 1 2
0 0 2
2 3 2
2 1 2
1 0 0
0 3 2
1 1 3
10 5
0 2 2
1 2 5
5 4 3
0 0 0
1 0 4
2 2 4
3 2 1
0 0 4
3 5 5
2 3 4
10 7
3 0 2
3 1 3
3 0 0
0 1 0
0 2 3
0 0 3
0 2 1
3 3 3
1 2 0
2 2 3
10 5
2 0 5
3 2 1
0 0 1
0 3 4
0 5 1
2 1 2
2 0 0
0 1 5
4 4 1
0 0 0
10 4
2 0 0
2 1 1
1 0 1
2 0 1
0 1 1
0 2 0
0 0 1
2 1 2
0 1 2
0 2 2
10 8
5 1 5
3 4 3
4 2 1
5 0 2
3 3 1
4 1 1
5 5 4
3 1 2
2 5 1
4 1 2
10 7
4 4 0
0 1 2
3 2 3
0 2 3
2 1 4
0 0 1
2 0 1
2 4 0
0 1 3
2 3 4
10 9
0 0 2
0 2 2
2 2 0
1 2 2
1 1 0
1 1 1
0 2 0
1 0 2
1 2 0
1 0 1
10 5
3 0 2
1 1 2
2 1 1
3 1 2
2 0 3
2 0 1
0 1 1
0 2 1
2 1 0
0 1 0
10 5
2 2 0
2 1 0
0 0 0
2 0 2
0 0 1
1 1 1
2 1 1
0 1 1
0 1 2
1 0 0
10 4
0 2 3
3 3 0
1 1 2
3 0 3
1 3 2
3 2 2
1 2 3
3 0 0
0 2 0
1 0 2
10 2
1 1 0
1 0 1
2 3 1
3 3 1
0 1 3
3 2 0
0 3 1
1 2 2
1 2 0
2 0 1
10 4
5 2 4
0 2 0
4 3 5
5 5 3
1 3 2
0 5 4
2 2 1
1 4 4
5 3 5
0 5 0
10 5
1 1 5
3 3 4
2 2 2
3 0 2
5 4 1
2 1 4
2 4 5
4 3 2
3 2 2
2 0 0
10 6
2 2 0
0 1 2
2 2 1
2 0 1
1 2 2
1 1 2
0 0 2
1 2 0
1 0 2
1 0 0
10 2
1 0 2
1 4 2
4 4 2
0 4 1
4 4 4
1 0 0
3 0 0
2 1 0
2 1 1
4 1 4
10 2
5 3 4
4 5 0
0 5 3
2 1 2
3 3 4
1 4 1
3 4 3
1 5 3
5 3 5
0 1 3
10 6
0 1 1
3 0 1
3 1 1
1 1 1
0 0 2
2 3 2
2 0 0
0 3 2
3 0 2
2 1 0
10 7
0 1 1
2 0 2
0 0 1
0 0 0
2 2 2
1 2 1
0 2 2
2 1 0
2 0 0
2 2 0
10 6
3 0 4
0 3 2
1 4 3
1 0 3
3 2 0
0 1 1
4 2 2
2 3 2
2 3 1
4 4 3
10 9
2 2 4
4 4 2
0 2 4
3 1 2
3 2 0
4 1 0
0 2 0
1 0 0
0 0 0
0 1 2
10 6
2 4 0
2 1 2
1 4 2
4 3 1
0 0 2
3 4 3
2 1 4
3 4 0
2 4 2
0 1 2
10 5
4 2 2
3 3 0
5 5 4
1 5 4
0 2 4
4 2 3
0 4 3
4 3 1
1 2 1
0 3 2
10 5
1 3 1
0 4 0
0 3 0
3 4 4
4 2 0
3 1 1
3 3 2
1 0 0
0 3 2
1 2 2
10 3
0 2 2
0 2 3
2 0 1
2 1 2
0 1 3
1 0 3
0 0 3
3 0 1
2 3 1
3 3 3
10 7
5 3 3
1 1 3
4 2 0
4 1 3
3 3 0
5 4 2
3 4 4
1 5 0
2 0 4
5 4 0
10 9
2 0 2
5 5 1
5 0 0
0 1 5
1 0 4
1 0 3
0 0 5
4 5 5
0 5 4
0 2 2
10 6
2 0 0
1 2 2
2 2 0
0 2 2
2 2 1
0 1 1
0 0 1
1 2 1
2 0 2
2 2 2
10 8
1 2 0
1 0 0
0 1 2
0 0 1
1 1 2
0 2 1
0 2 0
0 1 1
0 1 0
0 0 0
10 2
0 5 3
4 4 3
5 2 2
0 5 4
5 0 0
4 1 0
4 2 1
0 4 4
0 2 2
3 2 1
10 5
3 2 2
1 3 2
2 0 3
3 2 0
2 1 1
3 1 3
2 3 1
0 3 3
2 2 3
3 3 3
10 5
2 1 1
0 1 2
1 2 2
1 1 0
0 1 0
0 2 1
1 2 1
2 0 1
1 2 0
1 1 1
10 6
0 0 2
1 1 0
1 0 0
1 1 2
2 2 0
0 0 0
1 0 2
0 1 0
2 1 2
0 1 1
10 4
5 5 0
2 0 2
3 5 2
2 1 4
5 0 1
3 1 2
3 4 3
0 1 1
2 2 3
5 1 5
10 7
3 3 3
2 3 0
3 0 2
3 2 1
2 2 3
0 0 3
1 3 0
1 1 1
3 1 1
0 0 1
10 3
2 2 3
0 1 3
0 4 4
0 0 0
1 2 0
2 0 2
1 1 2
1 2 1
2 4 3
4 2 0
10 4
2 1 2
1 1 0
1 2 2
2 1 1
0 0 1
1 0 0
2 0 0
1 0 1
0 0 0
2 0 2
10 4
2 2 3
2 1 0
3 1 1
0 3 0
4 1 3
0 4 4
0 2 2
1 2 1
1 3 2
3 3 1
10 8
1 1 1
1 2 0
0 0 0
2 0 0
1 1 2
2 2 1
1 0 2
0 1 1
2 0 1
2 1 1
10 4
2 5 0
1 4 3
2 2 3
2 1 0
0 5 3
0 5 2
1 1 0
5 2 5
0 4 3
1 5 5
10 7
0 4 5
5 4 2
4 1 5
4 0 0
4 3 4
2 3 1
4 3 5
0 2 3
5 0 5
1 2 0
10 3
2 1 2
1 1 4
1 1 2
3 1 3
2 2 1
4 2 1
1 3 3
0 3 0
3 3 1
4 4 2
10 9
0 2 0
0 2 2
1 0 1
1 1 2
2 0 2
2 2 2
0 0 2
2 0 0
0 2 1
1 1 0
10 3
2 1 2
1 2 0
0 2 1
0 0 0
0 1 0
1 3 2
3 0 3
2 0 0
3 2 3
3 1 3
10 6
2 1 0
0 2 1
2 0 0
0 1 1
2 1 1
0 2 2
2 0 2
1 0 1
0 2 0
2 2 1
10 8
1 2 2
1 3 0
2 1 3
2 0 0
2 0 1
0 2 3
1 0 1
2 3 1
1 1 1
0 1 2
10 7
1 4 1
3 4 2
0 1 2
0 2 3
2 1 3
4 4 1
1 4 4
0 0 0
1 2 4
1 4 2
10 5
0 1 1
1 0 3
1 2 3
1 0 1
2 3 3
2 0 1
1 2 4
3 1 3
0 0 1
3 4 2
10 8
2 1 0
1 0 0
2 1 1
0 0 0
1 1 1
2 0 0
1 2 1
2 1 2
1 2 2
0 1 2
10 5
4 2 0
2 0 0
5 5 2
3 4 4
1 0 5
4 0 3
0 0 5
5 4 3
0 5 2
0 2 3
10 6
2 1 2
1 2 3
1 3 0
1 0 1
3 1 3
1 1 3
1 0 3
0 3 0
2 0 3
1 3 3
10 7
0 2 0
2 1 1
2 1 2
1 0 0
1 1 1
1 0 1
1 0 2
1 2 0
1 1 0
0 1 0
10 5
0 4 4
4 3 1
2 4 3
0 3 3
1 4 1
1 1 2
1 4 0
0 2 1
3 3 3
4 1 3
10 3
1 1 2
2 0 0
2 0 1
0 2 1
2 2 1
1 2 1
2 2 0
0 1 2
1 0 0
2 1 0
10 9
0 5 4
5 4 0
3 0 1
3 4 1
1 0 2
4 4 0
5 4 2
2 1 1
4 1 4
1 4 0
10 6
1 2 0
3 2 2
1 1 3
1 0 2
2 2 3
2 0 3
0 2 2
3 3 1
0 2 3
2 1 2
10 4
2 1 2
2 0 4
1 0 2
3 2 2
2 3 2
4 3 0
3 3 1
2 2 2
0 4 4
0 4 1
10 8
1 1 1
1 3 1
1 3 0
4 3 2
4 4 3
4 0 4
0 3 3
0 1 4
0 0 0
2 4 4
10 8
3 5 2
0 5 4
2 2 4
1 0 1
4 5 0
2 3 4
1 1 3
0 5 1
2 2 3
1 0 5
10 6
4 4 4
2 0 0
3 1 2
3 4 1
5 1 5
5 3 5
5 4 0
2 5 0
3 2 1
2 5 1
10 9
4 2 2
1 0 2
1 0 0
4 3 1
2 2 1
0 2 4
2 0 2
4 3 3
0 3 1
3 3 0
10 7
1 1 0
0 0 2
2 0 0
1 2 1
2 2 2
0 2 2
0 2 0
2 0 2
0 0 1
1 1 1
10 5
3 1 1
0 4 2
2 0 4
2 3 4
1 3 1
4 0 3
1 1 2
2 2 4
0 3 3
3 3 1
10 4
0 1 2
0 0 1
2 3 1
1 2 0
1 3 2
1 1 3
0 2 2
3 0 0
3 2 2
2 2 2
10 8
4 2 2
2 1 2
4 4 0
0 2 2
0 0 3
4 2 4
3 1 2
3 3 0
3 2 0
0 4 4
10 6
0 2 0
1 2 0
2 1 1
2 0 0
2 0 2
1 2 2
2 0 1
0 1 1
1 0 1
2 2 0
10 2
2 0 2
2 3 3
3 4 0
1 1 2
1 4 2
0 2 3
4 3 4
4 4 2
4 2 4
0 1 3
10 3
1 1 0
1 0 0
2 1 0
0 0 1
0 0 2
0 1 1
0 1 0
1 0 1
1 1 2
2 2 1
10 2
4 4 2
2 4 2
4 2 5
4 2 0
0 4 1
1 2 4
1 2 5
5 4 3
2 1 1
5 1 2
10 4
3 3 2
2 1 0
0 2 2
1 3 2
0 2 0
2 3 2
1 2 3
1 2 0
1 3 0
3 3 0
10 8
0 1 1
1 1 0
1 2 0
2 1 1
0 1 0
2 2 0
2 1 0
2 1 2
1 2 1
2 0 0
10 8
0 2 2
2 3 0
2 0 3
2 1 0
0 1 3
1 0 3
0 1 2
3 0 3
3 2 2
0 2 0
10 7
2 2 2
0 0 1
2 2 1
0 2 0
0 1 1
0 2 2
1 2 2
1 1 2
0 2 1
1 0 2
10 9
0 3 1
3 0 3
1 2 0
0 1 2
3 0 0
3 1 3
3 2 0
3 3 3
2 2 1
3 1 0
10 4
1 3 3
0 2 4
1 2 1
4 2 2
4 4 0
0 1 0
1 3 2
4 0 4
4 3 4
0 3 3
10 9
1 1 1
3 1 1
0 3 0
3 3 0
2 3 0
3 2 3
1 3 1
0 3 3
2 2 3
3 0 0
10 6
2 2 1
2 2 3
3 2 3
1 0 1
1 0 2
1 1 0
0 1 0
1 1 2
0 3 3
3 1 0
10 8
0 0 2
2 0 0
0 1 1
0 2 0
2 1 0
2 2 0
1 0 2
1 1 2
2 1 1
1 2 2
10 7
0 2 1
1 2 3
0 1 0
2 2 2
0 0 2
1 2 0
0 2 0
0 1 1
0 0 1
2 0 0
10 4
0 2 4
4 2 1
1 2 1
4 2 4
0 4 0
2 1 4
0 1 4
3 3 4
1 2 4
1 4 1
10 9
0 2 2
1 2 2
0 2 1
1 1 2
1 1 1
0 1 0
2 0 2
2 2 2
1 0 1
1 2 0
10 8
2 2 2
1 1 0
3 1 2
1 2 2
0 1 2
2 0 1
1 3 3
0 2 3
0 0 0
0 2 2
10 3
3 2 4
0 1 2
3 3 4
1 0 1
4 3 0
3 0 1
0 4 1
1 5 5
4 0 3
4 1 0
10 9
0 1 1
1 5 4
0 1 0
4 2 3
3 1 2
0 2 2
0 3 0
0 2 3
1 2 3
5 1 1
10 2
3 4 1
1 3 0
5 3 2
0 0 0
0 5 1
0 5 2
1 1 0
3 0 3
3 2 3
1 4 5
10 6
4 0 1
4 4 1
0 1 0
1 1 1
2 0 4
3 0 2
4 0 0
0 1 4
1 4 4
2 4 2
10 5
5 0 1
0 2 3
0 3 2
0 4 5
1 4 2
0 2 0
1 1 2
2 4 0
5 1 1
5 5 2
10 8
1 1 1
1 2 0
0 2 0
2 1 1
0 1 1
0 0 1
2 1 2
0 0 2
1 0 2
1 1 2
10 4
1 2 1
2 0 0
3 0 0
1 2 0
2 2 3
1 0 2
0 3 1
3 1 2
3 3 3
3 1 3
10 6
3 3 0
1 3 2
1 4 0
1 3 0
2 1 4
1 1 4
3 4 2
1 3 1
3 4 4
4 3 4
10 6
2 1 1
2 0 4
3 4 3
5 1 0
5 0 0
4 2 3
1 2 5
3 3 4
1 4 0
4 3 0
10 5
4 0 4
4 1 4
4 2 4
5 4 1
4 5 5
0 4 2
2 3 3
2 2 2
1 3 4
3 5 0
10 2
2 2 0
2 0 2
0 2 3
3 0 2
2 0 3
0 1 0
2 1 2
2 2 2
1 3 0
1 3 1
10 6
1 3 1
0 1 1
2 3 1
0 2 1
0 2 0
2 4 4
2 2 3
2 3 4
2 1 4
1 0 4
10 6
1 5 2
3 5 1
3 4 1
4 2 4
2 4 0
5 1 3
4 2 3
5 1 5
1 0 3
4 3 5
10 6
0 4 0
3 1 3
2 3 3
1 2 3
1 3 2
5 1 3
2 4 3
0 1 5
5 4 1
3 5 0
10 7
1 2 1
0 1 1
0 3 3
0 2 1
1 3 1
0 1 3
2 3 0
2 1 1
1 1 0
3 3 2
10 4
3 1 4
1 4 4
5 5 2
1 4 1
4 0 4
5 4 4
1 5 2
4 0 1
0 0 5
2 4 4
10 9
1 0 0
1 1 0
2 0 0
1 3 3
3 1 1
2 1 0
1 0 2
1 0 1
3 3 0
2 2 2
10 5
0 3 1
2 4 1
0 5 5
2 5 5
0 1 3
1 2 3
1 2 2
2 5 3
0 1 5
0 0 3
10 3
0 2 2
2 0 1
2 2 2
0 2 0
0 0 1
2 0 0
2 2 0
1 1 0
1 0 1
0 2 1
10 5
2 0 2
0 1 2
1 1 0
0 2 0
1 0 2
1 0 1
0 2 1
2 1 1
2 2 1
0 2 2
10 9
2 1 2
1 1 2
0 1 2
1 0 1
1 1 0
2 0 0
2 2 0
2 0 2
1 0 0
1 0 2
10 7
1 1 0
3 0 3
3 1 1
0 3 0
1 1 1
0 0 3
1 2 0
1 3 1
0 3 1
0 2 0
10 9
0 1 1
2 0 2
2 2 1
2 0 0
0 2 0
2 1 2
0 2 1
1 0 0
0 0 0
1 1 0
10 3
2 2 1
1 2 1
2 0 0
0 1 0
2 1 1
2 1 0
1 1 0
2 2 0
1 0 0
0 2 0
10 2
3 0 1
3 4 4
4 0 1
4 4 2
4 2 2
0 2 4
4 3 0
0 1 0
0 1 1
4 3 4
10 3
2 0 0
2 2 0
2 0 1
2 1 0
2 2 2
0 0 0
2 1 1
0 0 2
1 2 2
0 2 0
10 2
3 2 0
2 4 1
5 4 0
2 3 3
0 4 0
2 1 4
4 0 1
4 5 1
5 2 2
2 1 3
10 7
3 2 1
2 2 1
3 0 1
2 0 1
0 0 1
0 3 0
1 2 2
2 1 2
3 1 1
3 3 2
10 5
3 1 2
0 1 1
2 3 1
1 2 0
3 2 3
0 0 3
2 1 3
1 0 3
1 0 1
2 3 0
10 3
2 1 1
0 0 2
2 2 1
2 0 0
2 1 2
2 0 2
2 2 2
0 2 1
0 1 2
0 2 2
10 2
1 3 4
3 4 4
4 2 0
4 0 1
3 3 4
0 1 1
3 4 3
4 4 3
4 4 2
2 1 4
10 3
4 4 2
2 2 1
1 3 2
2 2 3
3 5 5
1 0 5
5 5 5
4 0 2
5 4 3
5 3 5
10 7
0 1 1
5 4 3
1 0 2
3 1 2
2 3 0
4 4 1
3 2 4
3 3 1
5 1 4
3 4 4
10 8
5 3 4
4 2 3
0 2 1
1 4 0
2 2 4
4 3 4
2 1 2
5 1 3
5 0 3
2 2 0
10 8
1 2 2
1 2 0
1 2 1
2 1 1
0 1 2
1 0 2
1 1 0
2 0 1
0 2 1
0 2 0
10 5
3 0 3
1 3 1
1 1 2
0 0 1
1 1 0
0 2 2
1 1 3
3 3 0
2 3 2
0 2 3
10 8
2 1 3
0 1 2
3 0 2
1 3 3
3 3 1
3 2 0
1 2 3
1 2 2
1 0 0
0 2 3
10 2
2 1 0
3 1 3
1 1 0
4 0 1
0 4 2
1 1 3
1 3 3
4 2 2
2 2 0
4 1 3
10 7
1 2 0
3 0 1
3 3 3
3 2 3
3 1 3
2 0 2
1 0 2
0 2 2
1 1 0
2 3 3
10 2
1 0 0
0 3 0
0 0 3
2 3 3
0 3 1
1 1 1
2 0 2
0 1 1
0 2 2
0 2 3
10 6
3 0 2
4 3 4
4 1 3
0 0 4
4 1 0
1 2 1
4 1 2
4 0 4
1 0 4
3 2 2
10 9
2 0 1
3 3 1
3 1 2
3 3 0
2 2 0
3 1 0
0 1 1
3 0 1
0 0 0
2 1 1
10 7
1 1 0
3 1 4
2 4 4
0 0 4
2 0 2
4 0 2
4 4 4
3 0 1
1 1 2
1 1 3
10 2
1 1 2
0 1 1
1 1 1
2 0 1
2 1 0
2 0 0
2 1 2
1 1 0
1 2 0
1 0 2
10 6
2 1 0
5 1 4
5 4 5
3 1 1
3 4 5
3 1 2
4 0 4
3 4 0
3 1 5
1 4 0
10 9
1 1 2
1 2 0
2 0 0
2 1 0
0 2 1
2 2 1
1 1 0
0 0 0
1 0 2
0 1 1
10 5
1 1 1
2 1 2
0 0 0
2 0 1
2 0 0
2 1 0
2 2 2
0 0 2
0 1 1
2 2 1
10 6
0 3 0
2 2 0
0 0 0
2 2 2
2 3 3
1 0 3
3 2 1
3 1 3
2 3 2
0 3 2
10 7
2 3 5
5 3 0
4 2 2
3 1 5
5 3 4
5 4 2
1 5 0
1 0 5
2 2 3
3 4 5
10 8
0 2 2
1 1 2
1 1 1
0 1 1
1 0 0
0 0 2
2 2 0
2 0 2
1 0 2
1 2 2
10 8
1 2 0
2 0 1
1 1 2
1 1 1
0 0 2
0 2 0
0 1 0
2 2 0
0 1 1
0 2 1
10 5
0 4 5
5 3 1
3 5 1
2 5 2
5 2 2
1 5 1
4 3 2
5 0 5
0 1 2
4 5 5
10 4
4 1 2
0 5 5
4 1 4
5 5 0
1 2 4
3 2 3
0 3 3
3 2 5
5 0 1
1 4 4
10 3
3 0 2
2 0 1
0 3 1
2 3 1
3 1 0
0 2 3
0 0 1
1 3 1
3 1 1
2 2 0
10 9
2 1 4
2 1 0
2 3 0
4 2 4
2 1 3
4 2 2
0 3 2
0 4 2
1 1 0
0 2 2
10 9
2 0 3
2 0 1
0 0 1
1 0 3
3 1 0
0 1 3
3 2 2
3 1 1
1 2 1
3 0 1
10 5
2 0 4
0 2 2
2 4 1
2 3 3
3 4 2
1 1 4
0 4 1
3 2 4
1 3 3
0 4 2
10 3
2 5 0
0 2 3
3 3 0
2 0 5
5 0 5
4 4 5
0 0 0
1 5 5
4 4 3
3 4 0
10 5
1 4 4
0 3 1
3 5 4
3 2 1
3 5 2
5 1 1
3 4 2
1 1 5
1 4 3
0 5 1
10 5
0 0 0
1 1 2
0 1 1
1 1 1
1 0 1
2 1 2
0 0 2
2 0 1
2 2 1
0 2 0
10 3
2 1 1
0 3 2
2 0 3
1 3 3
2 3 0
3 1 1
1 0 3
1 3 1
1 3 2
3 0 3
10 3
0 1 2
0 4 4
1 4 2
1 0 4
4 4 1
1 1 2
0 0 3
3 2 2
3 1 3
2 4 1
10 7
1 1 2
2 2 1
4 0 4
3 2 2
0 2 3
2 0 1
1 3 0
1 2 0
4 4 2
1 3 3
10 6
2 2 3
0 3 3
2 1 3
2 1 2
1 2 2
1 2 0
1 3 3
0 2 2
3 1 0
3 0 0
10 5
1 3 0
3 1 5
1 0 1
3 0 5
3 2 4
1 5 3
4 2 4
4 4 2
1 3 3
3 2 0
10 3
1 4 3
5 3 2
2 2 1
0 3 1
5 1 1
5 1 3
5 0 5
1 2 4
2 0 2
0 1 5
10 2
3 1 0
1 0 1
1 3 2
1 0 0
2 1 2
3 0 2
2 1 1
2 3 2
2 2 0
0 2 2
10 6
0 4 0
5 5 2
2 1 4
4 2 5
5 4 2
3 2 3
5 3 5
2 4 2
3 3 4
0 4 4
10 6
2 1 3
0 3 1
1 0 2
3 3 2
1 1 3
0 1 1
0 2 2
2 1 0
0 2 1
1 2 2
10 6
0 0 1
0 1 2
0 0 2
1 1 1
3 1 3
0 1 3
2 3 3
1 1 3
0 3 3
2 1 1
10 3
3 0 0
1 0 0
1 2 2
3 1 2
0 1 0
1 1 0
1 1 1
1 0 3
3 2 2
1 1 3
10 4
3 0 1
3 0 0
0 5 4
5 3 0
3 0 3
4 2 5
4 2 2
3 3 1
3 1 1
1 2 5
10 8
1 3 1
3 4 1
4 4 4
1 2 3
2 0 2
1 4 2
0 3 1
2 0 0
2 3 3
4 3 3
10 2
2 0 2
0 2 0
0 3 0
0 1 3
4 3 3
4 1 2
1 4 1
2 4 4
1 2 2
4 3 4
10 5
3 1 0
3 1 1
2 0 1
0 1 3
2 0 2
0 2 2
2 0 3
2 3 3
2 2 1
3 2 3
10 7
0 1 2
3 2 2
4 2 2
3 3 4
3 3 1
2 4 1
3 4 1
1 1 0
2 0 1
1 2 2
10 9
2 1 0
5 2 5
4 4 3
0 3 4
5 2 2
2 4 0
4 3 1
1 2 5
3 5 2
4 1 0
10 9
1 4 4
2 0 3
0 0 3
3 4 2
0 2 1
2 4 4
2 4 3
1 0 2
1 2 2
0 0 1
10 3
0 3 0
0 1 0
3 2 1
3 3 3
0 0 3
3 0 3
2 2 0
0 0 1
1 2 0
2 0 0
10 2
0 0 3
2 1 3
0 2 1
3 2 2
1 0 3
4 0 1
2 0 1
1 2 4
4 4 1
2 2 1
10 2
2 1 3
5 4 1
5 1 5
5 2 0
1 5 1
0 4 5
2 2 5
1 1 4
4 4 3
4 1 0
10 4
1 2 3
1 3 2
0 3 2
3 2 2
3 1 3
2 2 1
3 0 1
0 1 3
1 3 0
3 1 2
10 2
0 3 3
0 0 3
1 0 2
1 3 0
2 3 0
0 2 1
3 2 1
2 0 3
2 1 0
1 3 3
10 7
2 1 2
0 2 0
0 2 1
0 0 2
2 1 0
2 0 2
1 2 0
0 1 1
2 0 1
1 1 0
10 9
0 0 1
2 1 1
2 0 1
1 1 2
2 0 2
1 0 1
1 1 1
1 0 0
2 2 2
1 2 0
10 5
4 3 1
1 1 0
4 4 1
1 4 1
3 1 3
2 0 3
0 4 0
3 2 3
0 1 2
0 3 4
10 9
1 2 1
1 1 0
1 2 2
0 1 2
0 2 2
0 1 0
0 0 2
2 0 0
2 2 0
1 0 2
10 4
2 2 4
4 1 4
1 2 3
1 0 3
3 1 0
1 4 1
2 1 1
0 0 1
4 4 0
4 2 2
10 3
3 1 1
4 2 2
4 2 1
1 2 0
3 3 4
5 0 2
0 4 4
3 1 2
1 2 3
4 2 5
10 5
1 1 2
1 1 0
1 2 0
2 1 2
0 0 0
0 0 1
0 1 1
0 1 2
2 2 0
2 1 0
10 4
4 3 1
2 2 3
4 4 5
4 3 0
5 5 0
5 1 4
3 5 2
3 1 1
0 5 4
3 5 0
10 3
0 2 1
1 4 3
2 3 1
2 1 3
0 1 3
1 1 4
4 4 0
2 2 4
0 1 0
3 4 4
10 7
3 2 2
1 3 3
3 0 2
1 0 3
1 1 0
3 0 3
2 1 3
2 0 0
2 1 0
3 3 1
10 7
2 1 0
1 3 0
0 1 1
1 1 3
2 1 3
0 1 0
1 0 0
1 3 3
3 0 0
2 3 0
10 6
0 0 0
1 1 2
2 0 2
0 0 1
0 2 1
2 1 2
1 1 0
1 2 0
1 0 0
2 2 0
10 7
1 3 4
4 3 4
3 1 3
2 0 1
4 3 3
2 3 0
0 0 3
2 4 4
0 0 2
4 3 0
10 3
2 2 0
0 1 0
2 1 2
1 0 1
2 0 0
0 2 0
1 2 0
0 2 1
0 2 2
2 1 0
10 6
0 0 2
2 2 2
1 1 2
0 1 1
2 1 0
1 0 0
1 2 0
2 2 1
0 2 2
0 1 0
10 5
1 2 2
2 1 1
2 0 2
1 1 0
2 2 0
0 2 1
0 1 1
1 1 1
2 1 0
1 0 0
10 2
3 3 4
4 3 1
5 5 4
0 4 3
4 0 5
2 1 1
2 0 0
5 1 0
4 4 4
4 1 1
10 4
0 1 1
1 0 1
0 0 0
1 1 2
1 2 1
2 1 1
2 0 0
0 2 2
0 0 1
1 0 2
10 4
1 3 3
2 1 1
3 2 2
0 2 2
0 2 1
3 3 2
1 2 3
1 0 3
3 1 3
0 1 0
10 7
3 0 0
2 1 3
3 0 2
2 2 0
0 1 3
3 2 3
3 0 1
1 3 2
1 3 1
1 2 1
10 5
0 0 0
0 0 2
1 2 1
1 2 2
1 0 0
0 1 0
0 2 1
1 1 2
2 1 1
2 0 0
10 3
4 5 3
5 3 3
0 2 4
5 1 3
3 2 4
2 5 4
4 1 4
4 3 1
4 0 4
1 5 5
10 7
1 1 2
0 1 1
0 1 0
0 2 2
2 1 1
1 2 1
1 1 0
2 0 1
0 2 1
1 2 2
10 8
0 3 2
3 1 0
1 2 2
2 1 1
3 0 3
3 2 3
2 0 3
3 2 0
1 2 3
0 3 1
10 6
0 1 3
3 0 3
3 2 1
1 0 2
1 0 1
3 2 2
0 0 0
0 2 0
0 3 1
3 2 0
10 9
1 0 5
4 3 3
3 0 0
5 2 0
3 3 4
4 5 3
0 0 1
3 1 2
4 4 0
1 4 5
10 4
3 1 1
0 0 2
1 2 2
2 3 2
3 0 2
3 0 3
1 0 1
1 2 0
2 3 0
1 0 3
10 7
1 0 1
1 1 2
1 1 0
1 1 1
2 1 1
2 1 2
0 0 0
2 0 2
0 0 2
2 1 0
10 4
1 4 1
5 1 5
5 0 3
5 4 1
5 4 3
2 2 5
0 5 1
2 3 4
4 1 0
4 3 3
10 8
5 4 3
3 5 0
1 1 1
2 4 3
3 3 5
1 3 2
0 0 0
4 2 4
0 3 4
3 3 4
10 7
2 0 2
2 0 1
2 0 0
3 2 1
0 1 2
0 1 1
0 3 1
3 3 0
0 0 3
1 3 0
10 4
4 4 2
0 2 2
2 3 1
2 2 1
0 1 0
0 2 1
1 4 1
1 1 2
3 2 3
2 3 2
10 5
0 0 0
1 3 3
1 1 3
0 1 0
3 2 4
3 0 1
0 0 3
1 4 1
1 1 2
4 1 0
10 4
0 2 1
0 3 1
1 3 2
1 2 0
0 1 1
1 3 3
0 0 1
1 3 1
3 3 0
1 2 2
10 6
0 2 2
0 0 1
2 2 2
0 0 0
2 2 0
2 1 1
1 0 1
1 0 0
0 2 0
0 0 2
10 7
0 1 3
2 2 0
3 1 1
3 1 0
2 3 1
1 1 3
0 2 3
3 0 0
4 4 0
4 1 0
10 2
2 0 0
1 0 2
0 1 1
0 2 2
2 1 2
0 2 1
1 0 0
2 0 1
1 2 0
0 0 0
10 4
1 1 3
2 2 0
1 2 0
1 2 3
3 3 3
1 0 3
2 1 3
0 1 0
0 3 3
2 0 0
10 6
5 0 3
1 5 2
3 1 2
2 2 5
2 2 1
2 3 5
4 5 0
4 1 4
3 1 3
3 3 0
10 7
3 4 4
2 1 0
0 3 4
0 0 1
1 2 4
1 0 0
1 4 1
2 3 3
1 3 0
2 1 2
10 6
2 2 3
2 3 0
2 3 1
3 1 1
1 3 3
3 3 0
3 0 2
3 0 0
0 2 3
0 3 2
10 6
2 3 1
0 0 5
3 4 3
2 2 1
3 5 3
4 4 3
1 5 5
5 0 1
2 3 0
1 1 0
10 8
4 3 3
3 2 4
4 2 3
0 2 4
2 4 4
2 4 2
2 4 3
3 4 3
1 3 3
1 3 2
10 8
1 2 2
1 1 0
0 0 0
2 0 2
1 0 2
1 2 0
2 2 0
2 2 1
0 2 2
1 0 0
10 6
3 4 3
2 2 3
0 1 4
1 2 5
0 5 4
2 0 3
3 2 2
1 2 3
0 4 0
3 3 4
10 8
3 2 1
1 3 2
0 0 0
1 1 1
2 3 1
0 2 2
3 1 1
3 2 3
2 1 3
0 2 1
10 3
1 1 1
2 0 2
0 0 1
2 2 0
2 2 2
0 1 2
1 2 1
1 1 0
2 2 1
1 0 0
10 7
1 0 0
1 2 2
0 2 2
3 3 0
2 4 0
3 4 4
1 0 2
0 0 0
4 4 4
0 1 3
10 3
2 3 0
2 1 0
0 2 3
1 3 2
3 1 1
3 0 1
2 0 0
3 3 3
2 0 3
0 3 2
10 8
2 2 2
1 0 1
0 0 2
1 0 0
0 1 0
2 1 0
1 2 2
2 0 1
0 1 1
0 0 1
10 6
2 0 2
2 2 0
2 2 2
0 0 2
0 1 2
2 2 1
1 1 1
2 1 1
0 0 1
2 1 2
10 8
0 3 0
0 3 1
3 0 2
3 2 3
4 0 1
1 3 2
4 3 4
1 4 1
3 3 3
1 2 3
10 3
3 3 2
3 0 1
0 1 3
0 1 0
2 2 3
2 0 3
3 3 0
1 1 1
1 2 3
2 3 0
10 7
2 2 1
0 0 3
2 2 3
4 4 0
1 1 2
3 5 3
5 1 1
4 2 0
2 4 5
4 5 3
10 5
2 1 1
1 1 2
0 2 2
2 0 2
2 1 0
1 0 2
1 2 2
0 0 1
0 0 2
2 0 0
10 7
2 2 0
1 0 0
1 2 1
1 1 1
0 1 0
1 1 0
0 1 1
0 0 2
2 1 2
0 2 0
10 4
0 0 1
3 3 1
5 4 0
3 3 0
5 1 2
2 0 5
3 1 5
4 1 5
3 2 3
2 5 3
10 8
0 5 3
4 2 5
4 5 2
4 3 1
3 4 3
3 2 3
4 4 4
5 2 1
1 5 4
5 3 4
10 6
1 0 0
2 1 2
1 2 0
0 1 0
2 2 0
0 2 2
1 2 2
0 0 2
2 1 1
2 0 2
10 5
1 1 2
2 1 0
0 1 1
4 3 4
1 4 3
2 1 4
1 3 4
4 4 0
3 4 3
1 4 1
10 3
0 0 1
3 2 0
4 3 3
1 3 2
1 2 5
0 4 1
5 4 2
2 5 5
5 5 0
4 1 5
10 8
2 2 3
1 2 1
3 0 1
3 3 0
1 3 2
4 1 1
2 3 1
2 0 0
1 2 0
0 3 3
10 8
0 1 4
3 2 2
1 4 1
4 2 1
4 4 3
1 0 2
3 2 1
4 0 1
4 0 4
4 4 1
10 8
0 1 2
1 2 1
0 0 2
2 2 2
1 0 2
2 2 1
1 2 2
1 1 0
1 1 2
0 0 0
10 3
2 0 0
1 2 0
0 0 2
1 1 1
0 0 1
0 2 2
1 2 1
0 1 0
0 2 0
1 2 2
10 7
4 4 2
5 1 0
2 4 0
2 5 0
4 0 0
5 1 4
4 4 4
3 4 4
0 2 2
3 4 2
10 3
2 2 2
1 1 0
2 0 2
0 1 1
2 0 0
1 2 2
1 2 1
0 1 2
2 2 0
0 2 0
10 7
2 1 0
0 0 0
0 2 2
2 1 2
2 0 2
2 0 1
1 1 1
1 0 1
1 1 0
2 0 0
10 9
3 2 0
2 4 3
2 1 2
4 4 1
1 3 0
0 4 3
4 2 1
2 4 1
0 1 1
2 0 0
10 4
0 0 2
0 1 0
0 2 2
0 0 1
2 0 2
0 1 1
2 0 1
2 0 0
1 2 2
1 0 0
10 2
0 1 1
2 2 0
2 0 2
0 1 0
2 0 0
2 1 1
1 2 2
0 2 2
1 0 2
0 0 1
10 8
2 0 1
2 0 2
2 1 0
2 2 0
0 0 2
0 1 2
2 1 1
1 0 1
1 1 1
1 0 2
10 9
1 0 1
3 2 1
0 0 2
1 2 1
1 3 0
1 1 2
3 0 0
0 0 0
2 2 1
3 3 3
10 2
0 0 1
2 0 1
1 1 2
2 0 2
0 1 0
0 0 0
2 0 0
0 0 2
1 1 1
0 2 0
10 5
4 3 4
1 2 3
0 4 2
2 1 1
1 4 3
4 1 0
0 4 1
3 2 0
1 2 1
4 0 4
10 3
3 4 1
2 1 4
0 4 1
3 1 3
0 2 3
0 4 0
3 0 0
3 2 1
0 2 4
1 2 1
10 2
1 1 5
4 0 1
5 4 3
5 3 0
0 4 5
2 1 4
3 3 1
4 5 3
1 5 1
1 5 0
10 2
0 3 0
1 4 3
1 3 2
4 1 2
2 2 2
2 0 4
2 1 2
2 1 1
1 2 4
4 2 3
10 6
2 3 1
0 3 2
0 1 2
0 1 1
2 0 1
3 1 3
2 0 0
3 0 3
1 3 1
2 1 3
10 3
1 0 1
1 2 1
2 1 0
2 0 2
0 2 0
2 0 0
0 0 1
2 2 0
2 1 2
0 2 1
10 2
3 1 1
0 0 1
0 4 5
3 5 3
1 2 3
3 4 5
0 4 0
5 1 3
0 5 0
2 1 2
10 9
2 4 4
3 1 3
2 3 2
2 0 3
0 4 1
3 3 0
2 1 4
4 2 3
2 3 3
0 0 3
10 9
4 1 1
3 3 2
2 4 0
2 0 2
2 3 2
2 4 4
3 3 4
0 2 1
4 3 3
2 0 4
10 7
2 1 2
2 4 3
2 3 2
3 4 0
2 1 1
2 3 1
1 4 3
2 3 0
2 1 4
2 2 1
10 9
0 1 1
0 2 0
0 2 1
2 0 0
2 0 1
1 0 0
2 2 0
0 1 0
0 2 2
1 0 1
10 5
1 3 3
3 0 3
4 4 1
0 0 4
4 1 4
1 1 1
0 4 3
3 1 0
0 0 1
4 2 2
10 4
4 2 0
3 0 3
4 1 0
1 1 1
3 2 2
1 2 0
2 4 0
1 3 2
3 4 0
3 0 1
10 4
1 4 1
3 0 3
2 0 2
3 1 1
3 0 4
2 1 3
2 1 0
2 0 1
1 3 4
2 4 4
10 7
3 3 0
3 2 3
3 1 1
2 1 2
2 3 0
2 2 1
2 0 0
0 0 1
0 3 3
1 3 0
10 3
4 1 4
2 3 3
2 0 3
4 2 1
2 2 1
2 3 2
2 2 3
4 1 3
3 2 4
3 4 4
10 3
2 3 3
1 0 0
1 1 2
3 0 2
2 0 2
2 3 1
1 2 3
0 3 3
2 3 2
2 1 2
10 9
0 3 4
3 0 2
2 0 3
3 2 3
2 3 2
3 0 3
1 1 4
2 4 2
1 3 0
4 1 3
10 4
3 0 0
3 2 3
1 1 4
4 4 1
2 2 2
1 4 2
4 1 1
4 0 0
0 0 1
3 4 4
10 8
1 2 2
3 4 2
3 4 0
4 0 4
3 2 2
2 1 1
1 2 4
2 2 0
3 0 0
0 2 2
10 2
0 3 5
4 0 3
3 0 1
4 5 4
3 2 0
1 0 1
1 3 1
5 2 4
5 2 3
0 0 1
10 8
5 3 4
5 3 5
0 5 3
0 5 1
0 2 2
4 2 0
3 4 3
1 3 4
4 3 2
0 1 2
10 3
0 1 2
1 2 0
1 1 2
2 2 2
1 0 1
0 1 1
2 0 1
2 1 1
2 1 0
0 0 1
10 9
4 5 1
3 2 3
5 5 0
2 1 5
4 2 1
0 2 4
4 0 3
3 4 5
2 4 0
4 1 5
10 5
1 2 3
2 2 2
3 0 2
3 2 2
0 2 1
2 3 1
2 0 1
3 3 0
2 0 0
0 0 3
10 8
0 1 0
1 4 5
1 3 3
1 2 2
1 1 3
3 5 4
5 5 0
1 3 1
3 0 4
3 4 3
10 8
1 0 5
1 0 0
4 0 0
2 0 4
0 5 2
1 5 2
1 4 3
1 2 5
3 1 4
3 3 2
10 6
0 5 4
1 3 0
5 5 0
0 2 4
5 1 0
5 4 4
5 4 0
2 5 0
5 0 5
3 1 4
10 2
1 0 3
0 3 2
0 0 0
1 3 3
1 1 2
0 2 2
1 2 2
3 1 3
1 2 3
3 1 2
10 5
1 1 3
0 1 1
0 0 3
3 3 2
0 0 0
3 4 2
2 4 1
0 4 1
3 2 2
2 2 0
10 8
2 2 2
3 3 3
0 2 0
1 2 2
1 0 2
0 1 0
0 3 2
3 0 1
0 2 2
1 0 3
10 4
2 0 2
0 1 1
1 1 2
1 0 0
0 2 1
1 2 1
1 0 1
0 1 0
2 0 0
1 1 0
10 8
0 3 2
1 4 0
5 4 1
1 5 2
5 3 3
0 2 3
2 5 2
5 2 2
2 0 4
1 3 3
10 8
1 2 1
0 2 0
0 0 2
1 0 1
2 0 1
1 1 2
2 1 0
0 1 0
2 0 2
2 2 1
10 8
1 1 3
1 0 0
3 2 3
2 2 0
1 0 1
2 3 1
3 0 1
2 1 0
3 2 0
3 0 0
10 7
3 3 0
0 4 1
1 2 1
0 2 0
0 5 4
3 5 3
5 4 5
5 3 1
0 3 4
5 2 2
10 4
2 1 1
2 2 1
1 0 1
1 1 2
0 1 2
2 0 1
2 1 0
0 2 0
2 0 2
1 1 0
10 3
4 4 4
4 1 0
0 1 2
0 3 2
1 0 1
2 0 3
3 1 4
1 2 3
1 0 0
4 4 2
10 9
1 2 3
3 0 5
2 4 1
5 1 3
3 1 2
1 3 4
4 0 5
1 5 0
3 2 0
1 0 5
10 4
0 2 1
0 2 2
2 1 1
2 0 0
0 0 1
1 0 0
1 0 2
2 0 1
1 1 1
0 1 2
10 4
5 2 3
4 2 3
4 3 1
0 3 3
3 1 2
2 5 3
2 2 1
3 1 5
1 5 3
1 5 2
10 9
2 0 1
1 1 0
2 0 0
1 2 0
2 2 2
0 1 1
1 2 1
2 1 1
2 2 0
1 0 1
10 7
0 2 1
2 0 2
2 1 1
0 0 2
1 2 0
0 2 2
1 1 2
1 0 0
0 0 0
1 1 1
10 8
2 3 3
1 2 3
2 3 1
0 2 2
1 0 3
0 1 2
2 0 3
3 3 1
3 1 2
0 2 1
10 2
5 1 5
0 1 0
2 4 4
0 1 2
5 5 0
3 5 5
3 3 5
5 3 2
1 2 3
4 1 3
10 7
0 2 2
3 0 2
3 1 3
2 0 0
3 3 0
1 2 1
1 0 2
0 1 0
1 3 1
2 1 1
10 6
0 3 4
1 5 5
1 4 5
1 4 4
1 3 1
0 4 1
0 4 3
5 0 0
0 0 0
3 2 0
10 8
3 1 3
3 2 2
1 3 1
0 0 1
2 2 0
0 1 3
1 0 0
3 0 0
2 1 3
3 1 0
10 7
2 0 2
2 1 1
0 0 1
1 2 2
0 0 0
0 1 2
1 2 1
0 2 2
2 1 0
2 2 0
10 8
2 2 2
4 3 2
4 0 1
1 0 3
1 4 4
2 3 1
1 2 1
1 3 2
2 1 2
2 2 3
10 3
0 4 1
1 0 2
0 1 0
1 2 1
4 2 1
4 0 1
1 0 3
4 2 0
4 4 3
4 2 4
10 3
0 0 5
4 3 1
4 5 5
4 4 5
2 2 4
5 5 2
1 0 1
5 4 1
3 1 2
5 4 0
10 6
2 0 0
0 2 0
1 2 0
1 2 2
1 1 0
2 0 2
0 1 1
0 2 1
0 1 0
2 1 1
10 2
2 3 3
1 2 3
1 3 2
3 3 3
2 1 3
1 1 1
3 1 2
1 0 2
0 0 1
1 2 0
10 2
3 0 2
1 2 0
1 2 2
0 3 3
3 0 3
2 2 3
3 1 2
1 0 2
1 1 0
3 2 3
10 4
4 4 4
0 5 4
5 1 4
3 5 5
3 5 2
4 2 4
1 4 0
5 1 3
1 1 3
5 0 1
10 6
3 1 2
1 3 1
2 0 2
2 0 3
2 3 0
2 1 2
0 3 0
2 3 1
0 1 1
3 1 1
10 4
1 0 1
1 1 1
1 2 0
2 2 2
1 2 1
0 1 3
0 2 3
1 0 3
1 1 2
3 3 3
10 4
2 2 1
1 0 1
2 2 2
2 0 0
1 2 0
2 1 1
0 1 1
0 1 0
1 0 2
2 0 2
10 6
1 2 2
1 2 0
1 2 1
0 0 2
1 0 2
0 2 2
0 1 1
0 1 0
0 2 0
1 1 2
10 2
1 2 2
4 1 3
0 1 1
0 4 0
3 5 4
1 1 5
3 2 4
0 5 5
4 0 4
0 3 0
10 4
2 5 3
4 1 2
3 2 4
2 3 5
5 5 2
0 1 5
1 1 3
4 3 1
4 3 3
5 4 5
10 8
0 2 0
1 0 2
0 1 2
0 0 2
0 2 1
0 1 1
2 0 1
0 0 0
1 1 2
2 1 1
10 9
0 2 3
2 1 5
4 3 3
3 1 2
3 2 0
4 2 3
0 1 5
4 2 1
2 2 0
5 2 0
10 4
1 2 0
2 1 2
2 0 0
1 0 0
0 0 0
2 1 1
0 2 0
1 0 1
1 1 2
0 0 1
10 6
1 0 2
0 1 1
0 1 2
0 2 2
2 1 1
2 2 1
0 0 2
0 2 0
2 0 1
2 1 0
10 4
4 1 2
2 4 4
2 3 3
3 1 4
4 1 3
2 3 2
1 1 1
3 0 4
3 4 1
3 3 2
10 9
0 4 0
1 2 4
4 4 2
0 1 3
1 2 3
2 4 4
3 4 4
2 4 2
2 2 0
2 3 2
10 3
3 4 1
1 2 2
4 2 1
4 2 3
5 2 1
2 0 0
3 4 4
1 3 4
3 1 1
3 2 5
10 7
4 2 2
1 5 2
0 4 5
0 5 0
0 1 3
2 1 0
2 1 4
5 0 5
2 4 4
3 1 1
10 5
0 0 2
3 1 0
0 4 2
0 0 1
1 1 1
2 3 4
3 0 4
1 2 0
1 1 0
2 2 3
10 9
0 2 3
0 1 3
0 2 1
0 4 0
1 0 3
1 1 0
2 4 0
2 3 2
1 1 4
3 3 2
10 4
1 3 3
1 0 1
3 3 1
1 3 1
3 2 3
0 2 0
2 3 0
3 2 2
2 1 2
1 2 0
10 8
1 1 0
3 0 1
4 4 1
2 0 1
4 0 4
4 1 4
2 4 1
1 3 0
3 4 1
3 4 4
10 4
3 2 0
3 3 3
3 1 3
1 3 0
0 2 2
0 1 3
0 1 2
2 3 3
2 1 3
1 1 2
10 8
1 0 1
2 2 3
1 1 1
3 0 2
0 1 1
3 2 1
3 3 0
0 0 3
1 2 1
0 1 3
10 5
2 0 2
2 1 0
2 1 1
2 0 1
1 1 0
1 2 1
2 2 1
1 1 1
1 1 2
0 2 2
10 4
0 2 0
1 0 0
0 0 2
2 0 0
2 2 0
2 1 1
2 1 2
0 0 1
2 2 1
0 1 2
10 4
0 2 1
0 2 2
2 0 2
2 0 1
0 1 0
0 1 1
2 1 0
0 1 2
2 0 0
2 2 1
10 3
2 0 2
4 3 4
4 2 5
3 4 4
1 0 4
5 5 1
4 1 4
2 1 5
1 1 0
1 5 3
10 4
4 4 4
4 4 0
3 4 3
3 0 0
1 0 1
1 3 3
1 0 4
0 0 2
0 2 2
3 0 3
10 8
0 1 2
0 2 0
0 1 0
2 0 1
0 1 1
0 0 0
1 2 2
2 0 2
2 1 0
1 1 0
10 5
4 2 0
3 3 3
3 3 4
2 4 2
3 0 2
4 0 0
0 0 4
1 0 4
2 2 2
4 4 3
10 5
3 2 1
2 3 0
1 1 1
2 1 0
1 0 1
2 2 3
3 0 0
0 3 2
3 3 3
2 1 2
10 8
0 2 3
3 2 3
3 3 0
2 0 2
1 1 3
3 0 2
2 1 3
1 2 2
1 2 1
1 3 3
10 3
1 0 2
2 0 1
0 0 1
0 1 1
0 0 2
1 1 2
2 2 0
0 1 2
1 0 0
2 2 1
10 4
0 1 0
1 0 0
2 2 2
1 1 0
0 0 2
1 1 2
0 0 1
1 1 1
2 0 1
2 0 0
10 8
0 0 1
2 1 3
1 5 0
0 5 4
2 4 2
2 3 4
3 3 0
3 0 5
2 1 2
3 4 2
10 2
2 1 2
2 2 1
1 1 1
0 0 2
1 1 2
1 1 0
0 2 2
1 0 1
1 2 2
2 0 2
10 4
0 1 0
3 2 2
2 2 1
2 3 3
0 0 0
2 3 1
2 3 2
2 0 0
2 0 3
1 0 2
10 3
0 0 1
0 2 3
2 2 2
0 3 2
0 0 2
1 2 1
1 1 0
2 1 0
0 2 1
3 3 0
10 5
3 3 5
0 4 5
1 3 4
3 3 4
4 4 5
4 2 2
5 5 5
2 1 5
2 3 3
5 0 5
10 4
2 2 3
2 1 0
1 0 2
1 3 3
0 2 2
2 1 1
1 0 3
0 1 1
1 3 1
3 2 0
10 7
0 0 2
0 3 2
2 3 0
0 1 1
1 1 1
3 2 1
0 0 3
3 2 0
0 2 2
2 2 1
10 7
3 1 3
2 1 1
1 3 1
1 2 2
0 3 3
1 3 0
3 3 0
1 2 3
2 3 3
3 2 0
10 7
2 2 1
0 3 0
1 2 3
1 2 2
1 1 2
2 0 3
0 3 3
1 3 1
1 0 1
3 3 3
10 2
3 3 3
2 0 3
4 3 0
3 0 4
1 4 1
0 2 1
1 4 2
1 2 0
4 4 2
4 4 0
10 7
1 0 0
1 2 2
2 0 0
2 2 0
0 1 0
2 1 2
1 0 2
2 1 0
0 0 0
0 2 2
10 8
2 3 5
3 3 4
4 3 4
2 4 2
2 5 1
2 2 3
4 4 0
5 5 3
3 1 0
1 5 5
10 7
1 2 1
1 0 1
1 2 2
2 1 2
2 2 0
2 0 1
0 2 1
2 2 1
0 1 2
1 2 0
10 2
1 2 2
1 1 2
0 1 2
2 2 0
1 2 1
2 2 1
2 1 0
0 2 1
2 1 1
1 0 0
10 5
0 5 4
3 3 1
5 4 1
0 0 1
4 1 3
2 0 2
4 3 5
5 2 4
0 1 0
4 0 4
10 7
0 3 1
1 2 2
4 4 2
2 4 3
0 1 3
1 3 1
4 0 3
1 2 1
1 1 3
1 2 3
10 8
3 1 1
0 1 1
3 0 1
2 3 1
2 3 3
0 2 2
1 1 3
1 1 2
0 1 2
0 1 0
10 6
1 2 2
0 1 2
3 3 2
3 0 0
0 0 3
1 3 3
0 0 2
1 3 0
0 1 1
1 0 0
10 2
4 4 4
2 1 1
2 3 0
3 1 3
2 4 2
3 2 0
0 4 4
3 2 2
3 4 3
1 2 3
10 6
1 5 1
0 5 1
2 1 2
0 5 4
2 4 4
0 2 0
5 3 5
1 3 4
5 4 0
1 0 3
10 8
2 5 3
3 1 4
4 4 5
1 2 1
0 2 2
3 0 0
5 1 4
1 0 1
0 5 4
5 3 0
10 4
4 0 3
4 2 2
0 2 0
4 2 3
2 3 3
3 0 1
4 2 1
3 1 4
0 0 4
2 4 2
10 7
0 2 2
1 0 3
3 0 0
1 3 0
0 2 0
1 2 2
3 2 0
3 1 2
3 2 3
0 3 2
10 4
0 2 1
1 2 1
0 1 1
2 0 2
1 0 1
2 0 1
2 1 1
1 2 0
2 1 2
2 0 0
10 7
2 1 0
2 3 3
2 2 1
3 0 2
1 0 2
0 0 0
0 3 1
1 1 1
3 3 3
0 2 2
10 6
3 4 2
2 1 5
2 1 3
1 2 4
1 4 4
0 4 2
4 1 1
5 4 3
4 0 4
0 1 4
10 9
3 4 4
1 2 1
3 4 0
2 4 2
2 1 3
0 1 1
4 1 1
3 3 1
1 1 1
3 0 3
10 5
0 2 2
0 0 2
0 0 1
1 2 0
2 0 2
1 2 2
1 1 2
0 2 0
2 0 1
2 0 0
10 2
1 1 0
2 2 2
2 1 2
1 1 1
0 2 2
2 0 1
1 2 0
1 2 1
1 0 2
2 0 0
10 8
0 3 0
1 3 1
1 2 0
0 0 3
1 0 0
1 1 1
2 0 3
0 3 3
0 1 2
0 2 2
10 9
0 2 0
2 0 0
2 3 0
3 3 1
1 3 2
1 3 1
1 2 2
0 2 3
1 1 2
2 2 0
10 2
1 1 0
3 1 0
3 2 0
1 2 2
0 0 0
2 1 1
0 2 2
3 2 2
0 2 0
1 3 1
10 9
1 2 2
0 2 0
0 1 0
3 2 3
3 0 3
1 1 3
2 1 3
2 3 1
1 3 1
3 1 3
10 2
1 1 0
2 0 3
3 0 0
0 3 2
2 0 1
0 2 3
0 0 1
0 2 2
0 2 1
0 2 0
10 9
3 4 3
1 2 0
3 1 1
0 1 1
3 4 2
0 3 2
1 2 2
4 1 0
0 3 1
4 2 3
10 5
3 3 0
1 5 3
5 0 4
4 4 4
3 5 1
4 3 2
5 5 5
2 2 1
1 2 4
1 4 2
10 7
2 1 2
2 1 1
0 1 0
1 2 1
2 2 0
0 0 0
0 1 1
1 1 2
1 1 1
0 1 2
10 7
4 0 1
2 5 0
0 5 2
1 0 0
5 1 4
3 4 5
0 4 4
2 4 2
1 4 4
5 5 2
10 8
5 3 2
3 3 4
2 4 2
3 1 0
0 0 0
1 1 0
1 4 1
4 1 0
5 3 1
0 2 2
10 2
5 0 1
3 1 3
5 2 4
5 5 2
2 2 5
4 4 5
3 1 2
3 0 4
2 3 3
0 1 3
10 5
2 1 2
0 0 2
1 0 0
1 1 0
0 2 0
1 0 1
2 0 1
1 1 1
0 1 1
1 1 2
10 9
4 2 4
3 1 3
0 1 0
1 3 2
2 0 3
2 3 0
2 0 1
3 2 2
0 4 4
0 0 2
10 4
2 2 0
0 1 1
2 2 1
0 1 2
1 0 0
2 0 1
0 0 1
1 1 1
2 1 2
2 2 2
10 8
3 3 2
3 0 4
4 4 2
2 4 4
1 0 2
1 3 2
3 1 1
3 2 3
0 4 0
1 2 4
10 3
3 2 3
3 4 5
0 1 5
4 1 0
3 1 1
4 5 0
4 3 4
5 3 5
0 0 2
2 3 5
10 9
1 3 2
0 0 0
3 3 4
3 1 2
3 1 4
4 3 3
4 1 2
4 2 3
4 0 4
2 0 4
10 6
2 2 1
2 0 1
1 0 2
2 0 0
1 2 0
2 1 1
0 2 1
2 1 0
0 0 0
1 2 1
10 2
1 3 2
0 1 0
0 2 1
2 1 0
1 2 2
3 0 3
3 3 2
1 3 0
1 0 0
1 1 2
10 7
2 3 1
1 2 3
0 1 2
2 2 3
2 2 1
0 2 0
1 0 2
3 2 0
2 1 0
1 3 3
10 3
3 0 2
0 1 3
3 2 1
2 2 3
0 2 2
3 3 3
3 1 3
2 0 2
3 2 0
1 2 2
10 3
4 5 2
2 5 0
1 2 5
2 5 3
4 0 3
2 2 3
4 0 1
4 4 0
1 2 4
4 3 1
10 6
4 2 1
1 2 0
5 1 0
4 3 1
4 0 5
1 4 2
4 3 5
0 3 0
1 4 1
3 1 2
10 6
0 1 1
2 1 1
1 0 1
2 1 0
0 2 1
1 0 0
2 2 0
1 1 2
2 1 2
1 2 0
10 3
0 2 3
1 2 3
2 3 0
3 2 3
2 1 3
1 1 1
0 3 3
2 2 3
3 2 2
0 0 0
10 2
2 3 3
2 1 0
1 1 3
2 1 3
0 0 3
2 0 2
1 3 1
2 3 1
0 3 1
0 1 3
10 5
0 3 1
3 1 2
1 0 0
0 1 3
2 2 1
3 2 0
0 1 2
2 2 2
1 2 1
3 3 1
10 6
0 2 1
2 0 0
2 2 1
1 3 2
0 2 3
3 2 3
3 0 2
2 0 3
0 1 0
3 2 2
10 3
1 1 1
0 1 3
3 3 0
3 4 0
3 4 2
2 1 3
2 2 1
0 0 0
0 3 0
2 4 0
10 4
0 2 0
0 0 5
1 0 4
5 0 5
5 2 3
0 5 3
0 1 1
2 4 0
0 2 3
0 1 0
10 7
4 1 2
4 1 0
2 4 1
0 0 2
0 2 1
3 2 4
3 3 2
0 3 3
3 0 0
2 1 0
10 9
0 1 1
1 0 1
0 0 1
2 0 0
1 1 2
1 2 2
2 1 2
1 0 0
2 0 2
0 1 0
10 8
3 3 4
2 4 1
2 2 3
3 3 2
0 2 0
1 3 3
1 0 4
1 4 4
4 4 4
3 1 1
10 6
2 0 2
1 1 2
2 1 0
1 0 0
2 2 1
0 1 0
0 0 1
2 0 1
2 1 2
2 0 0
10 6
5 0 0
4 0 5
2 4 0
4 4 5
3 5 3
5 4 2
4 3 1
4 2 2
5 2 4
4 5 1
10 8
2 1 1
2 2 0
2 1 0
3 2 3
2 3 3
1 3 3
1 2 0
2 2 3
3 1 1
3 3 2
10 7
4 3 3
4 2 0
4 1 5
1 0 4
4 2 5
4 4 1
1 4 4
1 4 2
4 5 2
4 5 5
10 7
1 0 0
1 0 1
3 0 1
2 2 1
3 2 0
2 1 2
1 3 1
3 0 0
0 0 2
2 3 1
10 9
1 1 1
1 2 2
2 2 1
0 0 0
0 1 2
0 0 2
2 0 2
1 1 2
0 1 0
0 2 2
10 5
1 3 3
0 2 0
2 1 2
0 1 0
0 2 3
3 2 1
1 3 0
1 1 1
0 0 2
0 1 1
10 4
0 2 2
2 3 0
1 2 2
2 2 2
3 3 0
0 3 2
2 0 2
2 1 2
1 1 0
2 0 3
10 8
3 1 1
2 5 4
2 5 5
3 2 3
3 0 4
1 0 4
0 4 3
1 2 4
5 0 1
5 0 2
10 7
1 1 0
3 0 1
0 4 2
5 3 0
4 0 5
1 0 4
5 5 4
4 0 1
1 1 4
3 0 4
10 9
0 0 2
1 1 0
1 2 2
0 2 1
2 0 0
0 2 2
2 0 1
2 1 2
2 1 1
1 0 1
10 4
4 0 2
2 1 4
0 3 3
0 4 2
1 3 2
3 0 2
3 2 3
0 3 4
0 1 4
1 0 3
10 8
4 1 3
0 0 4
4 4 2
2 4 0
3 2 2
2 3 3
2 2 2
0 3 2
4 4 4
3 0 1
10 6
0 1 2
1 1 1
1 0 2
1 1 0
0 2 2
0 2 1
0 2 0
2 2 2
1 0 0
2 1 1
10 5
4 4 4
0 2 0
0 1 1
2 0 1
0 3 4
1 2 2
3 1 2
2 0 0
4 3 4
0 3 2
10 6
1 2 2
2 3 3
0 0 3
1 3 0
0 2 1
4 3 4
3 0 1
2 2 0
0 0 2
1 4 2
10 4
3 5 3
2 1 0
5 5 2
5 1 4
4 1 3
0 2 3
2 3 1
0 4 1
4 3 1
5 4 1
10 6
2 0 2
1 2 1
2 1 2
2 2 2
0 2 0
0 0 1
0 1 2
1 0 2
2 0 0
0 2 2
10 4
3 0 1
0 2 1
3 2 0
0 0 0
2 0 2
3 1 3
2 0 3
2 2 1
2 3 0
3 1 2
10 9
0 1 1
0 3 4
1 5 3
2 3 0
4 5 3
2 1 3
1 5 1
5 4 3
1 5 5
2 3 4
10 6
3 1 1
0 2 4
4 2 3
3 3 4
3 1 2
3 3 3
4 3 4
1 2 4
1 3 1
2 1 0
10 6
0 0 1
3 2 2
2 2 3
2 1 0
3 0 1
2 0 2
3 0 3
1 0 2
1 1 0
3 0 0
10 5
0 2 0
2 1 2
0 0 0
0 2 2
2 0 2
1 1 0
0 2 1
2 1 1
2 1 0
2 2 0
10 2
1 2 0
2 2 2
0 1 1
2 0 1
0 0 0
2 1 1
2 0 2
1 2 2
0 0 2
0 1 2
10 9
2 5 1
4 5 5
2 3 1
0 0 0
3 3 2
4 5 0
4 4 3
4 0 3
4 3 2
5 3 4
10 9
2 2 0
2 0 1
2 2 1
0 2 1
0 1 2
0 0 2
1 1 2
2 1 1
0 0 1
1 1 1
10 9
4 2 3
4 5 5
1 2 3
4 0 4
0 5 1
4 2 0
2 5 5
3 2 1
0 0 2
2 3 0
10 2
4 1 4
2 1 5
4 4 3
2 1 1
2 5 4
2 5 3
0 1 1
1 2 3
3 4 4
4 0 5
10 5
1 0 0
0 1 1
3 3 4
4 4 3
2 0 3
1 4 2
0 1 3
2 2 2
1 0 4
1 3 3
10 6
2 4 4
4 0 4
0 4 3
1 3 4
1 1 3
2 2 4
2 0 2
3 2 4
0 1 0
1 3 3
10 8
2 3 4
3 4 0
2 3 1
4 4 0
2 0 2
2 4 1
1 0 1
0 3 1
4 4 3
2 2 1
10 8
1 0 0
0 3 1
1 3 2
1 0 3
2 3 0
2 2 2
1 1 0
3 1 0
3 2 1
3 0 0
10 2
0 2 2
1 1 1
0 0 0
1 2 2
0 2 0
1 2 1
0 1 2
1 1 0
2 0 0
0 1 1
10 7
5 2 2
3 1 0
5 4 5
4 0 0
2 0 5
1 0 3
4 2 5
5 3 5
2 1 1
3 1 1
10 5
4 0 5
5 0 1
5 5 5
3 1 1
0 0 0
5 2 4
5 4 1
1 0 1
5 0 5
4 3 1
10 2
1 0 0
1 2 1
1 1 2
0 2 0
1 2 2
2 2 1
0 0 1
0 2 1
0 2 2
1 1 1
10 7
0 0 3
2 3 2
3 1 3
1 3 0
0 2 0
2 2 1
1 0 1
3 0 1
1 2 3
2 3 0
10 9
1 3 0
0 1 1
1 0 2
3 2 3
3 4 3
4 3 4
1 2 2
2 0 0
0 3 1
2 2 1
10 4
4 1 4
4 3 0
3 2 2
4 2 4
4 0 3
3 0 1
3 2 1
1 1 1
4 3 3
0 3 4
10 6
1 3 0
4 0 4
2 4 2
4 4 3
1 3 3
4 1 3
0 0 3
1 4 0
4 1 1
0 1 2
10 9
2 1 0
0 1 2
2 1 1
2 0 2
2 5 1
3 3 4
3 2 5
0 5 3
5 2 0
3 1 2
10 7
1 0 0
3 2 0
0 2 0
1 2 2
3 2 4
3 2 3
4 0 1
1 0 4
1 2 4
1 1 2
10 8
0 2 0
1 2 0
2 0 2
2 1 1
0 2 3
3 1 1
3 2 1
0 3 2
2 0 3
2 2 1
10 5
1 0 1
3 3 2
0 1 2
2 2 0
0 1 0
2 3 0
0 3 2
2 3 1
1 3 1
2 0 3
10 2
1 4 2
4 4 0
1 0 2
2 2 4
2 3 3
3 2 2
3 3 3
4 2 1
2 3 1
0 0 0
10 2
0 3 0
1 1 2
1 2 3
2 0 2
2 3 0
3 0 3
1 2 1
0 3 3
2 1 3
1 2 2
10 4
1 1 2
1 2 0
2 0 2
2 0 1
1 2 1
2 0 0
0 2 2
1 1 1
0 0 0
1 0 0
10 9
4 5 5
2 1 4
1 3 1
0 3 5
5 3 2
4 0 1
4 1 5
5 4 1
0 0 3
3 4 3
10 5
1 3 4
1 4 0
1 4 3
2 1 4
0 3 1
3 2 2
0 4 4
1 1 3
1 2 0
2 3 1
10 2
3 0 0
1 2 1
2 4 1
1 4 4
4 3 0
3 1 3
2 1 1
0 4 3
4 4 0
0 4 0
10 3
3 4 1
0 4 0
0 4 2
4 0 3
1 0 3
1 4 1
1 2 1
0 3 0
0 2 1
3 1 3
10 3
2 2 0
1 0 0
0 1 1
2 1 2
1 2 2
1 0 3
2 3 2
3 1 3
2 2 3
0 0 1
10 3
0 2 3
0 1 1
1 0 0
2 3 2
0 1 2
2 2 0
0 0 1
0 3 0
1 2 2
1 0 2
10 7
0 1 2
0 0 1
5 5 0
5 0 5
1 5 0
3 1 3
5 2 3
2 3 2
2 2 0
0 2 3
10 7
5 1 3
3 2 0
1 0 0
1 2 4
0 5 5
5 3 5
3 3 3
2 2 4
0 4 2
2 1 2
10 5
1 2 0
0 2 2
1 0 1
2 2 2
0 0 0
1 1 0
2 0 1
2 0 0
1 0 0
2 1 2
10 5
2 0 1
5 4 0
3 5 3
4 1 4
3 5 4
2 1 5
3 4 0
0 3 2
4 5 4
1 1 2
10 5
3 3 3
3 1 2
0 1 0
4 1 3
4 2 1
0 3 2
2 0 0
0 3 4
3 3 2
2 2 4
10 6
2 2 3
2 4 4
1 4 2
4 3 4
0 2 0
2 2 0
3 2 0
3 2 4
4 3 0
3 0 4
10 9
4 2 5
2 4 3
5 1 3
4 3 2
1 2 0
2 0 3
0 0 4
1 2 2
5 3 5
5 5 0
10 9
3 5 0
0 2 1
5 2 3
0 3 1
5 1 5
0 5 4
1 3 3
2 0 0
4 0 3
2 3 2
10 9
0 5 4
1 2 1
0 2 2
3 1 2
2 3 5
5 0 5
0 4 2
2 1 3
1 3 2
4 1 4
10 5
1 1 0
4 4 2
2 1 0
0 3 0
0 1 0
4 0 0
0 1 2
2 3 4
3 4 3
1 0 0
10 4
3 1 2
1 2 1
0 3 2
2 1 1
1 2 0
2 2 3
2 2 1
1 1 2
3 0 1
2 2 2
10 2
3 3 2
3 2 1
2 3 0
2 3 2
3 0 2
3 1 1
0 3 2
0 1 0
0 0 1
1 3 0
10 4
3 5 5
1 5 3
5 2 4
5 0 0
4 0 5
2 1 4
0 0 2
2 0 2
2 3 4
4 1 2
10 5
3 1 0
4 4 3
1 0 2
4 2 5
3 5 3
5 3 2
1 4 0
3 3 3
1 2 3
1 2 1
10 5
0 1 4
0 3 4
4 0 1
4 3 1
3 2 3
1 3 2
2 0 0
2 2 4
4 2 4
4 3 2
10 4
0 2 1
1 1 0
1 2 2
2 1 0
1 1 1
2 1 2
1 0 2
0 1 1
1 0 1
1 2 0
10 4
1 1 0
0 1 2
0 1 1
2 1 0
2 0 2
2 1 2
2 0 1
0 2 1
1 2 2
2 1 1
10 2
2 1 0
3 1 0
3 3 1
3 0 2
3 1 2
0 2 0
0 0 2
1 3 1
1 0 0
2 3 1
10 7
0 0 1
1 1 1
3 0 2
3 2 3
3 3 0
1 2 0
1 3 3
1 2 1
2 0 0
2 1 2
10 8
0 0 5
0 5 5
5 4 4
5 2 3
0 0 2
1 0 0
2 5 1
3 0 1
0 1 1
0 1 3
10 8
0 2 0
3 0 4
5 0 0
0 4 4
2 4 3
0 3 4
3 4 5
5 1 3
1 5 0
0 1 3
10 7
2 2 2
0 0 2
1 2 1
2 1 0
2 2 1
0 2 0
0 0 1
1 2 0
1 1 1
0 1 1
10 2
2 0 3
0 2 2
2 1 3
1 3 1
3 3 1
2 3 2
0 0 2
2 2 2
1 0 1
0 3 1
10 4
1 1 2
1 2 0
1 2 1
2 0 0
4 4 4
0 1 4
4 0 2
4 4 0
3 0 0
0 4 2
10 6
2 1 0
1 1 3
3 3 3
3 1 2
1 3 2
0 2 2
3 3 1
0 1 0
0 2 0
0 2 1
10 2
0 1 2
1 0 1
1 0 0
0 1 1
2 0 0
0 2 1
1 2 1
0 2 2
2 2 0
1 2 0
10 8
5 2 2
2 3 0
1 1 4
4 0 0
0 5 0
5 1 5
5 0 3
2 4 4
4 4 3
3 0 1
10 5
2 2 2
0 0 0
1 1 2
0 2 2
2 0 1
2 2 1
0 1 2
1 0 0
2 1 0
1 1 0
10 4
4 3 3
4 0 2
3 1 3
1 4 2
4 4 2
2 3 2
0 3 0
4 0 1
4 2 1
3 0 2
10 4
2 0 3
2 2 3
1 0 1
3 3 1
0 0 3
1 1 1
3 1 0
2 1 3
1 2 1
3 2 2
10 5
0 2 0
1 0 0
1 0 1
2 2 1
2 1 0
1 1 2
0 2 2
1 2 2
1 1 0
2 2 0
10 7
3 3 1
2 3 1
0 3 0
2 1 2
0 0 0
2 2 1
3 0 1
1 1 3
3 2 0
0 0 2
10 2
5 4 5
3 4 1
5 3 1
0 4 4
3 3 1
5 3 0
5 2 4
4 2 3
3 4 5
0 4 3
10 7
1 2 2
1 1 1
1 0 0
2 2 0
0 0 1
2 0 2
1 1 2
1 0 1
0 0 2
2 1 2
10 9
3 0 3
1 3 3
0 2 1
3 2 2
1 1 3
2 3 0
3 3 2
1 0 2
1 0 0
3 1 3
10 4
2 0 5
1 4 1
4 4 4
3 2 4
5 0 1
1 1 1
5 1 5
5 3 2
3 1 1
2 1 0
10 6
2 2 0
1 0 3
3 2 3
1 2 3
0 1 0
0 1 1
3 1 3
0 2 0
2 2 2
3 3 1
10 6
2 0 2
3 3 0
4 3 4
2 4 4
2 2 3
3 4 0
3 0 2
3 1 1
0 1 0
2 3 4
10 5
4 1 1
3 1 1
4 0 4
3 2 3
3 0 0
3 4 2
0 1 2
2 1 4
4 2 4
0 3 3
10 5
2 3 5
4 0 5
5 4 1
3 5 1
1 5 3
1 4 0
2 2 0
4 1 5
3 3 3
5 2 0
10 9
2 1 5
3 5 1
2 3 0
0 5 2
4 2 0
4 2 4
1 5 3
0 0 1
2 0 2
2 4 0
10 2
0 1 0
2 0 1
0 0 1
0 0 0
1 2 0
2 2 1
2 0 0
1 1 2
2 2 0
2 1 2
10 4
1 1 0
3 2 2
1 0 2
0 1 1
0 1 3
0 0 1
0 1 2
1 1 2
1 2 2
0 0 2
10 6
3 1 0
3 1 2
0 1 2
1 2 1
1 3 2
0 1 1
0 3 1
2 1 2
2 1 3
0 1 0
10 8
3 2 5
5 2 1
3 1 0
3 4 4
4 1 1
5 0 3
1 4 3
4 2 1
1 5 4
2 1 1
10 3
0 0 0
1 1 0
0 2 0
0 1 0
2 2 0
1 2 2
2 1 2
0 0 2
1 0 1
0 1 1
10 3
3 0 2
1 2 0
0 1 0
0 1 2
2 0 2
2 1 2
0 0 1
0 3 2
0 1 3
2 2 1
10 5
4 0 3
3 5 4
5 1 0
0 1 2
2 2 4
4 2 4
5 5 3
0 1 3
1 3 4
1 5 5
10 9
2 3 2
1 3 3
1 1 1
2 1 2
0 1 1
1 2 3
0 1 2
0 0 0
1 0 3
1 1 3
10 8
2 1 1
3 0 1
1 0 2
2 1 2
0 3 3
0 4 3
3 3 1
0 1 0
2 2 2
4 2 1
10 2
0 3 2
2 0 2
1 3 0
3 1 0
1 1 0
1 2 0
3 0 2
1 2 1
2 2 2
3 3 3
10 5
4 2 4
3 0 0
2 2 2
0 0 3
4 1 3
4 3 0
0 0 0
0 3 3
4 4 2
0 2 2
10 7
3 2 0
3 0 1
1 0 3
1 3 2
2 1 2
0 3 0
1 2 1
3 3 3
2 0 1
3 2 1
10 8
0 1 3
1 2 1
0 2 0
1 3 0
2 1 2
0 2 3
2 0 3
1 2 3
0 0 1
1 0 2
10 9
2 2 0
2 0 2
0 1 1
0 2 1
1 1 1
0 0 1
2 0 0
1 1 0
1 0 0
0 2 2
10 2
2 1 2
2 1 1
3 1 1
0 0 2
3 0 3
0 2 0
1 1 1
1 3 3
3 2 2
2 0 3
10 7
2 4 2
1 1 2
2 0 2
3 2 2
4 4 2
1 4 1
2 3 1
0 0 1
0 2 0
3 3 4
10 5
2 2 3
5 0 2
3 4 3
4 3 2
5 4 4
0 3 5
0 0 2
0 4 2
3 1 0
4 5 1
10 5
3 4 3
2 3 0
4 3 3
3 4 0
2 0 2
0 0 4
3 1 3
2 3 3
0 3 3
3 4 4
10 3
4 0 4
5 0 2
2 0 1
3 0 1
5 3 4
3 1 1
4 1 3
4 5 1
4 1 1
3 2 0
10 4
1 3 3
4 2 3
3 2 3
1 2 3
2 1 3
4 3 2
2 2 1
2 2 2
2 2 0
4 3 0
10 2
0 3 3
0 1 3
2 2 2
5 0 4
4 3 0
2 1 2
0 5 1
2 1 1
5 4 2
2 3 4
10 6
2 0 3
4 3 0
5 2 3
5 4 2
5 4 4
3 5 0
0 3 1
4 3 1
1 5 4
2 5 2
10 8
0 2 2
2 2 0
2 0 0
0 1 1
0 0 0
2 2 2
1 2 2
0 1 2
0 2 1
1 2 1
10 3
1 1 1
2 2 1
1 0 1
0 2 0
2 0 1
1 2 2
0 0 2
1 2 1
0 0 1
2 1 1
10 3
2 5 2
2 3 2
3 4 5
2 0 1
3 0 0
2 5 4
0 1 5
2 5 5
1 2 1
0 4 4
10 7
3 0 2
2 2 0
3 0 1
1 1 2
2 3 3
1 2 3
0 2 3
1 2 1
3 1 2
0 3 1
10 4
1 0 2
1 2 0
1 0 0
2 2 2
0 1 0
2 0 2
0 1 2
0 2 0
2 1 1
0 2 1
10 3
0 2 0
0 2 3
2 0 0
2 2 2
3 2 1
1 3 1
1 1 0
0 1 0
0 2 2
1 0 1
10 6
2 0 0
1 0 3
3 2 3
0 2 2
1 1 1
1 0 0
3 0 1
3 1 0
0 0 1
1 3 0
10 8
1 2 1
0 2 1
0 2 2
2 0 1
0 1 2
0 0 2
2 1 1
0 0 0
1 0 2
2 2 0
10 7
1 4 0
0 2 4
1 3 3
2 1 2
2 3 1
1 0 1
0 4 3
1 0 3
3 3 1
3 0 0
10 3
2 2 1
1 0 2
2 1 0
0 2 0
1 1 2
2 1 1
0 0 2
1 0 1
0 1 2
1 2 1
10 3
0 2 0
0 2 2
1 0 1
3 2 1
2 2 3
0 3 0
1 1 1
3 0 3
3 1 3
3 1 0
10 5
2 2 2
2 3 2
0 0 0
2 2 3
0 4 3
1 0 2
4 1 1
2 0 3
4 2 2
4 0 1
10 4
2 1 1
0 1 1
1 0 0
1 0 2
1 0 1
0 2 1
1 1 0
1 2 1
1 1 2
1 2 0
10 7
0 3 2
0 2 2
4 1 0
3 1 0
4 2 3
0 2 3
0 4 1
2 2 4
4 3 2
0 2 1
10 9
1 3 3
3 0 4
4 3 4
1 3 2
1 4 3
2 2 1
1 3 4
3 3 1
1 3 1
1 4 1
10 9
0 0 2
2 4 3
3 1 5
0 1 5
1 1 4
1 2 5
3 1 0
4 3 4
4 1 1
0 1 1
10 9
3 0 1
3 3 3
0 1 1
1 1 0
1 1 3
1 2 1
1 0 1
0 3 3
1 0 0
2 1 2
10 8
5 5 4
2 4 4
4 4 5
5 4 4
4 1 2
1 2 4
2 3 4
4 2 2
4 2 3
1 0 2
10 3
2 2 0
3 2 4
0 1 3
3 1 3
4 2 2
3 4 1
4 0 3
0 1 0
0 2 3
1 1 2
10 2
2 1 3
0 1 5
2 2 3
0 2 3
4 1 1
3 2 2
3 1 1
3 5 4
0 0 3
3 3 4
10 9
2 5 1
5 3 0
2 2 5
4 1 2
0 5 0
1 3 4
5 3 4
4 3 1
5 3 5
1 5 4
10 3
2 0 2
2 1 0
2 0 1
0 2 1
1 0 0
0 1 1
1 2 0
0 2 2
2 0 0
0 0 2
10 5
4 5 4
5 0 2
4 0 1
4 3 4
4 3 0
0 2 1
3 1 0
1 5 0
5 5 4
0 4 0
10 2
1 0 1
4 3 3
2 4 1
4 3 0
3 1 0
3 4 0
2 3 3
0 4 2
1 2 2
0 0 2
10 2
1 1 2
2 2 2
1 2 0
2 0 0
1 0 0
0 0 1
1 1 1
1 2 1
0 2 0
1 0 1
10 7
3 2 2
0 0 3
0 3 3
2 3 0
1 0 3
2 3 1
1 0 2
2 2 0
3 0 0
2 2 1
10 8
1 2 1
1 2 3
0 1 2
4 1 3
4 3 3
4 0 1
1 4 0
4 3 0
3 3 4
0 3 1
10 5
1 4 2
2 3 1
2 1 2
0 4 3
1 1 1
4 5 5
3 2 5
1 0 3
5 1 5
0 2 2
10 7
1 3 4
1 0 2
3 0 3
0 4 3
2 3 3
2 4 3
3 0 2
3 0 1
1 0 0
4 2 1
10 3
3 4 5
1 4 5
4 0 4
5 2 4
3 1 2
3 0 0
4 5 3
0 2 1
0 3 5
5 4 3
10 7
1 1 0
2 0 2
2 3 2
0 3 0
1 1 3
1 0 3
3 1 3
3 3 0
0 2 3
3 0 1
10 3
1 1 2
2 2 1
1 2 1
2 2 2
1 1 1
0 1 2
0 2 0
1 1 0
2 0 0
0 1 1
10 7
1 0 2
0 1 0
1 0 0
1 2 1
1 2 2
2 2 1
0 2 1
0 0 2
0 1 1
1 1 2
10 5
0 2 1
3 2 3
2 1 1
2 2 1
0 3 0
1 0 0
1 3 3
1 0 3
1 1 1
0 1 2
10 3
1 2 1
1 3 3
3 1 0
2 0 0
2 0 1
3 2 0
0 1 2
3 3 3
1 2 3
3 3 0
10 2
0 0 3
0 0 1
2 4 3
3 2 0
1 1 3
4 3 3
3 3 1
1 4 3
0 4 3
4 1 2
10 9
0 1 3
1 1 3
0 2 1
1 3 3
2 0 1
2 3 2
2 3 1
3 0 2
0 0 3
2 1 1
10 8
0 4 3
5 4 1
1 3 0
3 2 4
4 5 3
3 4 3
5 2 0
2 0 5
1 0 2
1 3 1
10 3
1 2 3
3 0 0
3 1 3
0 0 2
2 2 3
2 2 2
2 2 0
3 1 2
0 3 1
0 1 3
10 4
4 2 1
1 1 1
0 3 3
4 1 0
2 0 4
3 1 1
4 2 4
1 4 3
0 4 2
0 4 0
10 7
5 0 1
1 0 4
1 4 1
3 3 0
3 1 2
1 3 2
1 0 1
4 0 1
3 2 5
0 0 3
10 5
1 1 1
0 0 1
2 0 1
2 1 2
2 2 1
1 2 1
2 2 0
0 2 0
0 2 1
1 0 0
10 8
2 1 1
5 5 5
0 1 2
5 3 2
4 3 4
2 3 3
3 5 0
3 5 1
4 5 1
4 0 1
10 4
0 3 2
1 3 1
0 0 0
0 3 1
2 2 2
2 2 0
3 1 1
0 1 0
1 1 1
3 2 1
10 3
2 5 2
3 2 0
0 5 1
3 4 4
1 3 5
1 5 3
3 5 5
4 3 0
2 4 4
0 3 3
10 9
1 2 1
0 2 0
1 0 0
2 0 2
2 2 2
2 0 1
1 1 1
1 2 2
2 2 0
1 2 0
10 2
1 2 0
2 0 0
0 0 1
0 0 0
2 0 2
2 1 0
0 2 0
2 1 1
2 2 1
1 2 2
10 9
1 1 1
2 0 1
3 0 1
1 0 1
0 1 3
2 1 2
3 2 0
0 1 0
3 3 1
2 2 0
10 2
2 5 4
3 2 5
0 3 2
1 3 0
1 2 5
4 0 1
5 4 1
1 1 4
5 2 1
3 3 0
10 4
0 2 1
1 3 2
1 2 0
0 2 2
1 3 0
1 0 4
2 4 2
3 0 1
1 4 4
1 1 1
10 3
3 0 3
0 3 4
1 3 3
0 1 2
2 4 2
2 3 4
2 0 2
4 4 0
3 2 1
3 2 2
10 6
1 2 0
2 0 1
1 0 1
0 1 0
1 0 0
2 0 2
0 2 2
0 0 2
0 2 0
2 2 1
10 8
4 3 3
1 4 5
3 4 3
2 1 2
3 3 2
1 2 1
5 0 2
3 2 1
4 3 2
0 5 5
10 9
0 4 3
1 0 3
0 1 4
3 3 0
0 3 2
3 0 3
1 3 4
0 4 2
4 2 0
1 1 2
10 4
3 2 3
1 4 3
0 0 1
4 0 4
2 1 3
2 1 1
4 1 1
3 2 4
1 3 3
1 0 4
10 5
1 0 3
1 4 1
2 0 0
0 2 2
4 1 4
3 4 0
1 1 3
2 0 1
2 0 2
3 1 0
10 2
4 4 2
3 4 1
2 0 2
0 3 4
1 3 2
2 4 3
0 4 4
2 2 3
1 0 2
1 2 0
10 6
1 1 2
0 5 2
5 1 4
0 3 1
4 1 0
4 1 1
4 4 3
3 3 4
0 2 0
0 2 3
10 2
3 2 2
1 1 0
0 1 2
1 1 3
2 0 3
2 2 1
3 0 2
1 0 1
1 3 0
0 0 2
10 3
3 5 5
2 3 0
2 3 3
0 3 3
3 2 2
3 2 1
3 0 5
4 5 5
2 2 2
0 1 5
10 3
1 0 2
0 1 2
3 3 0
0 3 1
2 3 1
3 1 2
2 1 2
0 2 0
3 1 0
2 3 3
10 3
0 2 0
2 1 2
2 1 0
2 2 1
1 2 1
0 0 1
0 0 0
1 0 2
0 2 1
1 1 1
10 9
0 5 3
1 4 2
4 0 4
1 5 5
3 2 2
1 5 0
0 4 5
1 5 3
2 3 4
1 4 3
10 3
2 0 0
2 1 1
2 1 0
2 0 2
2 2 2
1 2 0
2 1 2
1 2 1
0 1 0
2 0 1
10 9
0 2 0
2 1 1
1 1 1
1 1 2
1 2 2
0 0 2
2 0 2
0 2 2
2 2 0
2 0 1
10 4
0 4 4
5 3 4
1 0 0
2 3 4
4 1 1
4 1 2
1 1 2
3 1 2
0 5 2
4 0 0
10 7
1 0 1
0 3 1
1 4 3
0 1 0
0 4 2
4 4 2
4 4 1
1 1 0
2 0 4
0 2 4
10 7
0 1 5
2 3 5
3 1 5
1 3 1
2 1 5
5 4 0
5 0 1
3 4 0
0 4 5
1 4 2
10 5
0 0 1
1 3 0
0 0 2
0 3 3
0 3 1
0 1 3
2 3 2
0 1 2
3 2 2
2 0 2
10 3
4 1 3
3 4 1
1 2 2
0 0 2
3 1 3
4 3 3
2 3 0
3 4 0
2 2 2
1 4 3
10 8
3 3 4
4 2 4
2 1 1
0 0 1
1 4 2
4 4 4
0 3 4
1 3 0
1 2 4
4 1 4
10 2
0 2 0
2 0 0
1 1 1
1 2 0
0 1 2
2 0 2
1 0 2
2 2 0
1 1 0
1 0 0
10 8
0 2 2
2 3 1
1 0 3
0 1 3
1 2 0
1 3 2
3 1 2
2 3 3
0 1 0
2 3 0
10 9
3 1 0
3 2 3
3 1 1
2 0 0
3 3 1
0 3 1
1 1 1
2 3 3
2 3 2
3 0 2
10 4
4 1 2
3 1 4
4 5 0
5 0 5
1 1 5
3 0 1
4 2 3
5 2 5
5 2 1
3 1 1
10 7
1 1 2
1 2 1
2 1 1
1 0 2
1 0 1
2 0 2
0 2 1
0 0 1
2 2 0
0 1 0
10 3
0 2 2
2 0 1
0 0 2
0 1 2
2 0 2
0 1 1
1 0 0
2 1 1
0 0 1
2 2 1
10 3
0 3 1
2 2 0
1 1 3
0 2 2
3 4 1
2 0 4
0 3 4
3 0 2
0 1 2
1 2 2
10 9
2 1 4
0 3 1
1 3 0
3 1 0
3 4 3
0 4 1
3 1 4
3 4 1
1 2 3
0 1 2
10 6
0 5 0
1 1 2
5 5 2
5 4 3
0 4 4
4 2 3
1 4 2
3 2 5
2 2 5
1 1 0
10 4
4 1 4
0 4 4
0 1 1
2 3 2
4 2 3
2 0 3
4 1 2
2 0 0
3 2 4
3 4 0
10 7
1 1 3
2 2 3
1 0 3
3 3 2
2 2 0
0 3 1
0 0 3
2 0 0
2 3 0
2 1 3
10 9
2 3 3
2 0 0
0 4 2
3 1 4
1 2 1
0 1 1
4 1 4
3 1 3
4 1 2
4 3 3
10 8
4 3 1
4 1 0
0 4 4
0 0 4
0 1 4
3 1 0
2 3 4
3 4 0
3 3 4
0 3 0
10 9
0 0 5
2 4 0
1 3 4
5 1 3
4 2 1
2 5 2
3 4 3
0 0 2
1 0 2
5 0 5
10 8
2 1 2
3 1 0
2 2 1
0 0 2
3 3 3
2 0 1
1 1 0
3 0 2
2 1 1
3 2 2
10 6
0 2 0
0 0 0
1 2 0
1 2 2
0 1 2
0 0 2
0 1 0
1 1 1
1 0 1
2 1 2
10 7
3 2 2
3 0 4
4 2 4
3 1 4
2 0 2
2 2 2
3 1 3
2 1 0
2 3 4
3 4 0
10 5
3 0 3
3 2 2
0 3 1
0 2 0
1 1 0
0 0 3
2 3 2
0 1 0
1 0 3
0 3 0
10 2
1 2 1
2 1 0
2 3 3
3 0 3
3 1 3
0 0 3
1 1 3
3 1 2
3 1 0
1 0 2
10 3
0 5 2
4 3 5
1 2 3
1 5 5
5 5 3
1 2 5
5 0 5
0 3 1
0 5 0
3 5 5
10 4
2 0 4
1 4 2
0 0 4
4 1 2
2 0 1
3 4 0
0 4 0
3 2 2
3 3 0
0 1 1
10 5
2 4 1
4 1 0
1 3 4
4 0 1
3 2 1
1 0 3
1 4 1
1 2 4
2 0 2
0 1 1
10 2
5 1 5
2 3 3
2 2 5
1 1 3
0 1 4
3 3 3
2 5 3
5 2 2
4 2 4
0 0 5
10 6
0 3 3
4 2 3
4 4 4
1 4 2
4 4 1
0 4 2
1 1 3
4 0 0
4 0 3
3 1 1
10 8
0 1 2
2 1 2
1 0 1
1 2 0
1 1 2
2 2 0
0 0 0
1 2 1
2 1 1
2 2 1
10 2
0 2 0
2 1 2
1 1 0
1 2 0
1 0 1
1 0 2
2 2 0
1 2 1
0 1 2
2 0 0
10 5
2 1 0
1 2 1
2 0 0
1 1 1
2 2 2
2 2 1
1 0 0
0 2 1
1 1 2
0 0 1
10 8
4 0 4
5 4 0
2 4 5
4 5 1
1 5 1
2 2 5
4 3 1
4 2 3
3 5 5
3 1 4
10 6
2 0 1
0 3 0
1 0 1
0 2 3
3 0 3
2 0 0
1 0 3
2 0 3
1 2 3
3 3 2
10 4
0 0 2
5 0 0
1 1 4
5 4 0
5 1 3
1 4 1
1 5 0
5 3 1
3 0 0
2 3 0
10 8
0 1 0
1 2 0
1 1 3
1 3 2
3 1 2
1 3 3
3 1 0
0 2 3
0 3 3
2 0 1
10 3
3 3 1
3 2 4
3 3 0
1 3 1
1 1 3
0 1 0
1 2 3
1 3 2
2 2 5
5 4 0
10 9
4 3 0
1 0 0
4 2 1
0 0 2
0 3 1
2 2 4
1 3 3
3 3 0
0 2 2
0 3 3
10 4
4 2 0
2 1 2
0 3 0
1 3 4
4 3 2
0 3 4
2 1 0
4 4 2
3 0 2
3 0 3
10 4
3 3 3
0 3 3
1 3 4
4 2 3
1 0 0
0 2 0
4 1 3
1 0 4
3 3 4
1 1 4
10 4
1 4 4
1 3 0
1 4 2
0 1 0
1 2 3
4 4 3
0 0 3
4 4 1
4 1 1
3 2 0
10 5
2 3 2
0 2 2
3 3 1
1 0 3
2 3 1
2 2 3
1 3 0
1 1 1
3 2 1
1 0 1
10 8
1 0 2
1 0 0
1 0 1
1 1 0
0 0 0
0 0 1
0 1 0
0 0 2
1 2 2
2 0 0
10 8
4 3 4
5 4 5
4 2 3
3 3 3
0 3 5
1 5 1
1 5 0
1 0 4
4 3 1
2 2 4
10 6
3 5 1
2 3 2
5 0 4
1 2 2
3 0 4
4 5 3
3 2 2
3 3 4
0 1 1
2 1 5
10 5
3 0 0
1 0 2
0 0 0
4 4 0
1 1 1
4 3 0
4 2 1
3 2 1
2 2 4
2 3 3
10 8
4 4 3
0 3 5
1 2 5
4 2 4
5 2 4
4 4 2
2 3 4
0 1 0
0 1 3
0 0 3
10 5
0 2 1
1 0 0
2 1 1
0 0 1
1 0 1
2 0 1
1 1 0
1 0 2
1 1 2
0 1 0
10 7
1 4 0
0 3 3
1 4 4
2 4 1
3 4 3
0 2 2
2 3 0
2 2 1
0 2 0
3 3 1
10 5
1 3 1
2 0 3
2 2 2
1 3 3
1 3 2
1 2 3
1 0 2
2 1 0
1 1 1
3 3 0
10 6
3 4 2
0 2 0
2 2 1
3 3 4
2 1 2
3 0 2
3 1 3
2 1 1
4 0 1
4 1 4
10 3
0 2 2
2 1 2
2 0 3
2 2 0
1 0 2
0 1 1
3 2 3
1 3 2
2 0 0
0 0 2
10 4
0 1 0
0 0 0
0 2 0
1 2 2
1 0 0
0 1 2
2 0 2
2 2 1
1 0 1
2 1 1
10 7
1 2 1
0 1 0
2 1 2
0 0 0
0 2 1
1 1 1
1 0 1
2 2 2
1 0 2
1 0 0
10 7
3 2 5
3 4 1
0 3 2
3 3 4
5 5 1
2 0 0
1 1 3
5 4 3
4 2 1
2 1 2
10 9
2 1 2
2 3 3
3 1 3
0 0 0
3 0 0
2 0 1
0 3 2
1 2 0
1 3 3
0 1 0
10 9
4 1 1
3 1 4
4 2 0
1 4 4
1 1 4
2 0 1
1 3 2
3 3 3
0 1 3
1 1 3
10 8
0 2 0
2 2 1
1 2 2
0 2 1
2 1 2
2 1 0
1 0 1
2 0 0
1 2 0
1 0 0
10 9
3 0 0
3 1 3
0 0 2
0 2 3
1 0 1
0 0 3
1 3 1
3 1 1
3 3 1
1 0 0
10 6
1 0 1
0 2 1
2 0 2
2 2 2
0 1 0
1 2 2
2 1 2
1 0 0
2 1 0
2 2 0
10 5
1 4 1
3 3 0
1 0 1
0 1 4
2 4 3
0 0 4
1 0 3
1 1 2
4 0 4
3 0 1
10 9
0 1 1
0 1 2
2 2 1
2 1 2
2 0 2
1 0 1
0 0 2
2 2 2
2 0 1
1 2 1
10 5
2 0 2
1 2 2
0 2 0
1 0 2
0 0 0
1 2 1
1 0 0
0 1 1
2 0 0
1 1 0
10 9
4 4 4
0 4 5
4 0 2
5 4 0
1 3 0
4 1 4
4 2 2
0 0 0
5 0 4
1 3 4
10 4
3 3 1
3 0 0
0 3 2
1 1 3
2 1 1
0 2 3
3 1 3
3 2 3
0 3 3
2 2 3
10 8
2 1 3
4 0 4
5 4 3
0 3 3
1 2 1
3 1 3
0 4 4
5 2 5
2 0 0
0 3 4
10 9
4 3 4
3 5 1
1 4 3
5 1 1
3 5 0
0 1 3
5 5 0
3 1 5
5 0 5
2 5 1
10 3
2 2 2
2 1 1
0 2 1
1 0 0
0 0 2
0 0 1
1 2 1
2 1 2
2 0 0
1 1 1
10 3
2 2 1
1 3 3
3 0 2
3 0 1
0 1 1
2 2 3
1 0 3
3 3 1
3 1 1
2 3 1
10 5
0 1 3
4 0 0
0 0 3
3 2 3
5 2 0
4 4 4
0 2 5
5 0 0
5 3 2
1 2 3
10 4
3 1 4
5 1 3
1 1 0
3 1 5
1 5 5
2 0 4
3 4 1
1 4 3
2 2 2
0 4 2
10 7
3 4 3
1 3 3
1 2 2
1 3 0
4 2 0
1 1 5
3 5 1
2 2 0
2 3 3
1 1 4
10 9
0 3 2
1 2 2
2 2 3
1 0 1
3 2 3
3 4 3
1 4 4
2 3 3
1 0 2
2 0 1
10 3
2 4 4
3 0 2
0 1 5
0 5 0
5 0 4
0 1 2
2 3 2
5 5 4
5 1 3
5 4 0
10 8
1 1 3
0 0 0
2 0 2
0 3 0
2 3 0
0 3 3
2 1 2
1 0 0
1 3 1
0 1 2
10 7
0 2 2
2 3 4
2 1 4
1 3 2
2 2 0
0 0 2
1 2 0
3 3 2
3 5 0
3 4 0
10 4
3 2 0
4 3 2
0 1 1
2 0 4
4 1 2
3 0 2
1 4 3
3 0 3
2 3 4
3 0 4
10 5
5 5 5
1 1 5
0 0 1
4 3 4
0 4 1
2 5 4
5 0 2
0 5 2
5 4 5
2 4 1
10 7
1 3 1
0 2 1
0 3 2
3 1 2
3 3 0
0 0 2
3 3 1
2 2 0
2 3 1
0 0 3
10 4
0 0 2
0 1 0
2 1 1
0 0 0
2 2 0
1 1 0
1 2 1
1 0 2
1 0 0
0 2 1
10 9
4 1 2
4 0 2
1 2 3
0 3 4
1 4 4
1 2 4
0 4 3
0 4 0
1 4 2
3 4 0
10 2
2 0 0
1 0 1
0 2 1
2 2 1
1 0 0
2 1 0
0 1 1
0 0 0
1 2 0
0 2 0
10 9
2 0 1
0 0 2
2 1 1
0 0 0
1 1 0
1 0 2
2 2 2
2 0 0
0 0 1
1 1 2
10 8
3 0 3
1 0 1
2 0 2
2 2 1
3 2 2
1 3 1
1 2 0
2 0 3
3 0 0
1 1 2
10 2
0 2 3
2 0 1
0 0 3
3 0 1
2 2 3
3 2 0
0 1 0
2 2 0
3 3 2
2 0 0
10 2
1 3 1
2 2 2
2 2 1
0 2 2
1 1 0
3 2 2
2 3 0
1 2 0
2 1 0
2 3 1
10 7
1 3 1
2 3 2
2 0 1
3 1 0
2 3 1
3 3 1
3 2 0
0 0 0
3 3 0
0 3 2
10 2
3 0 2
4 0 2
2 0 3
2 1 1
0 3 1
0 0 4
3 0 1
0 1 2
2 4 0
0 2 3
10 3
2 2 0
2 0 0
1 2 1
1 2 2
2 0 2
0 0 1
1 0 2
2 1 2
0 1 2
2 1 1
10 7
2 2 2
2 1 0
0 0 3
1 0 1
2 2 3
3 2 3
2 2 0
3 3 0
2 0 2
3 1 2
10 2
4 5 1
0 1 2
0 3 5
5 2 0
0 5 3
3 0 5
2 3 5
5 2 4
5 5 0
3 2 5
10 5
2 5 5
0 1 3
2 3 3
1 2 4
1 4 3
2 1 5
1 2 3
3 4 4
1 4 2
2 0 2
10 2
3 2 0
3 1 2
3 1 4
3 0 2
1 2 4
3 2 2
0 2 4
1 0 2
2 4 3
1 1 2
10 3
2 1 0
4 3 1
1 2 2
1 4 1
3 4 4
1 0 4
1 3 1
4 3 2
0 1 1
3 1 3
10 6
1 5 0
1 3 3
5 2 0
0 2 0
4 4 1
0 2 5
4 5 5
3 1 2
5 4 4
0 1 4
10 5
1 0 1
2 1 0
1 2 1
2 1 2
1 1 2
0 0 0
0 1 1
0 2 1
2 1 1
1 1 1
10 8
3 1 1
4 5 3
1 3 5
5 2 1
4 1 1
3 2 3
1 5 5
5 4 5
4 2 5
5 3 3
10 5
0 2 0
2 0 0
0 1 1
0 2 1
1 1 1
0 1 0
0 0 1
1 2 1
1 2 2
0 1 2
10 6
4 5 0
4 5 2
0 0 0
1 5 0
2 2 2
1 2 3
4 1 0
4 2 5
0 1 2
3 0 2
10 8
3 4 2
2 5 3
2 4 1
1 1 4
1 3 2
1 4 0
5 4 5
3 0 2
4 3 0
0 1 3
10 5
1 3 4
1 2 3
5 4 1
3 1 1
5 5 3
3 5 0
0 3 0
4 2 3
5 4 4
3 3 2
10 6
3 4 2
1 1 2
1 2 4
3 0 4
4 3 3
1 1 1
0 2 1
1 0 2
1 3 1
3 0 0
10 2
2 1 5
2 4 0
3 5 0
5 5 4
4 3 0
0 5 1
2 1 0
0 0 4
1 2 4
3 3 0
10 6
2 1 0
1 1 1
0 0 0
2 1 2
1 2 1
2 2 2
1 1 2
2 2 0
2 0 2
1 1 0
10 4
4 5 2
3 5 4
5 5 2
1 0 0
2 2 4
5 3 0
4 2 2
5 1 0
5 1 5
3 1 2
10 4
2 4 3
3 1 3
3 2 4
1 3 0
2 2 0
1 2 3
0 2 0
2 3 3
3 0 4
4 4 3
10 4
0 1 1
2 0 0
1 0 0
2 1 0
0 2 1
0 1 2
1 2 2
2 2 0
1 0 2
1 2 0
10 2
2 0 1
0 0 2
1 2 0
0 1 2
1 1 2
1 2 1
2 1 0
2 2 2
0 1 1
1 2 2
10 4
2 1 0
1 0 2
2 0 2
0 2 1
0 1 2
1 2 1
2 0 0
2 1 1
1 0 0
1 0 1
10 3
0 4 2
1 3 4
3 4 2
0 1 0
0 4 0
1 3 3
2 0 3
4 2 2
0 0 3
1 2 0
10 2
0 2 3
3 3 3
1 4 1
4 3 2
1 4 4
1 0 0
0 3 2
3 4 3
0 0 1
3 4 0
10 4
1 1 0
3 5 3
2 1 3
0 0 1
0 3 3
5 3 3
3 2 5
1 3 3
3 0 2
2 0 5
10 7
2 1 0
0 1 0
2 1 1
0 0 0
2 0 2
2 2 2
2 1 2
1 2 0
1 2 2
0 2 1
10 2
1 2 1
1 2 0
1 0 0
2 1 1
0 1 1
0 0 1
0 0 2
2 0 2
0 1 2
1 1 2
10 7
0 1 0
1 2 0
0 3 3
2 1 0
1 1 1
2 1 1
2 3 0
1 3 3
0 2 0
3 2 3
10 9
5 2 3
1 0 3
1 4 5
2 3 4
4 0 1
3 0 4
1 3 2
1 1 3
5 0 1
4 1 1
10 6
4 3 0
0 1 4
4 2 4
3 0 0
2 4 2
1 3 3
2 0 0
2 4 1
2 2 3
4 2 3
10 2
2 2 0
2 2 2
0 0 0
0 2 2
1 0 1
1 1 1
0 0 1
0 1 1
2 1 1
1 1 2
10 2
1 2 2
0 2 1
1 0 1
0 2 2
2 1 1
1 1 1
2 0 2
2 2 0
2 2 1
2 0 1
10 2
4 2 0
2 3 4
4 1 5
5 1 5
2 1 0
2 1 1
3 0 1
4 4 1
0 5 1
4 3 3
10 2
2 0 2
2 3 2
2 0 1
2 3 3
1 3 3
3 2 2
3 1 3
2 3 1
0 1 2
2 1 3
10 4
1 2 1
0 1 1
2 2 2
0 0 2
2 1 0
1 2 2
0 2 0
0 2 2
0 2 1
2 0 0
10 5
3 1 0
1 0 1
3 3 3
0 2 3
0 0 3
0 2 2
2 1 1
0 0 2
2 2 0
0 3 3
10 5
5 5 5
0 1 1
0 1 3
2 4 3
1 0 0
3 5 3
0 0 1
3 2 3
3 5 0
1 5 4
10 7
2 1 2
0 2 0
1 2 2
2 2 1
1 0 1
1 1 2
0 2 1
1 1 1
1 2 0
0 0 0
10 8
5 3 2
4 4 5
4 3 3
2 5 1
0 1 1
3 3 4
2 3 0
3 0 3
2 0 1
3 2 4
10 7
2 2 2
2 0 0
2 0 1
1 0 1
2 2 0
0 2 2
0 2 0
0 0 2
1 2 0
1 1 1
10 2
3 1 3
1 1 3
3 1 0
2 1 3
1 3 1
3 1 2
3 2 3
3 2 1
1 1 1
1 3 0
10 6
2 2 2
1 1 2
1 2 1
0 2 2
2 2 0
2 1 2
2 0 1
1 0 0
0 0 1
0 1 1
10 3
0 2 0
1 1 1
1 0 0
0 0 1
1 0 2
2 2 0
2 1 1
1 1 0
2 0 2
0 0 2
10 9
3 1 1
3 3 2
1 0 3
1 0 1
2 0 0
1 3 1
3 1 3
2 0 2
2 1 3
0 0 1
10 3
1 0 1
1 1 2
0 1 1
0 0 1
0 2 0
1 0 0
0 0 0
2 0 2
0 1 2
1 2 2
10 2
4 0 1
4 3 4
0 1 1
3 2 2
1 0 3
3 1 3
0 1 0
2 0 1
0 2 3
1 4 2
10 9
3 2 0
1 0 4
0 0 0
4 3 4
0 4 2
0 4 1
0 0 2
4 1 2
2 3 2
4 3 2
10 9
1 2 1
2 0 2
0 1 2
2 1 0
2 2 1
0 1 1
0 0 0
2 1 1
0 2 2
1 1 2
10 8
3 2 4
2 0 4
5 3 5
3 5 1
1 1 3
2 5 0
0 2 1
3 0 2
0 3 0
1 0 2
10 7
0 2 1
1 1 0
1 0 2
0 0 0
1 1 2
2 2 0
0 1 0
1 2 1
1 2 0
2 0 0
10 6
0 1 0
2 2 2
0 1 2
2 1 2
2 1 1
1 1 1
0 0 1
1 0 0
0 1 1
0 0 0
10 7
2 1 5
2 4 4
0 3 2
0 1 3
4 5 3
2 1 1
1 4 1
5 1 5
4 0 2
0 4 2
10 2
0 2 2
1 1 0
1 1 2
0 0 0
2 0 1
2 1 1
2 2 2
0 0 1
0 2 1
1 0 1
10 2
0 0 1
0 0 3
2 1 0
3 0 2
0 1 1
2 0 0
0 1 3
0 0 0
0 2 2
3 2 2
10 9
4 2 2
0 3 3
1 3 1
4 3 3
1 1 5
0 4 1
5 0 5
4 2 4
1 0 0
0 2 4
10 6
1 1 0
2 0 1
2 1 0
1 0 1
2 1 1
0 1 2
2 2 1
1 0 2
2 0 0
1 2 2
10 7
0 4 0
4 3 4
2 2 2
2 2 0
0 1 3
4 3 1
1 1 2
0 0 0
3 3 3
4 4 3
10 7
3 3 0
4 0 0
3 2 3
0 1 3
3 4 3
2 2 2
4 1 3
4 1 1
3 4 0
0 2 1
10 6
1 2 1
1 0 1
1 3 2
3 1 0
3 2 2
2 3 1
3 0 1
3 1 2
3 1 1
2 1 3
10 3
2 3 2
0 3 3
2 1 0
0 2 2
1 3 0
1 2 1
0 1 0
0 0 3
0 3 1
2 1 3
10 8
2 4 0
3 4 3
2 1 2
1 2 2
3 2 1
1 4 0
1 4 1
1 3 0
4 1 3
1 4 2
10 3
4 4 1
1 2 0
2 0 3
4 2 2
4 0 3
1 3 2
2 1 3
2 4 0
3 2 0
4 3 4
10 9
3 5 1
3 4 3
5 5 5
4 3 2
5 1 1
4 0 1
4 1 0
1 0 1
1 0 4
2 5 1
10 6
3 0 0
2 1 3
3 2 1
1 1 3
2 0 0
3 0 3
2 3 2
3 3 0
0 0 1
0 1 3
10 9
0 0 2
1 3 0
4 3 4
3 5 3
1 3 2
3 3 5
0 4 3
1 2 1
0 2 1
5 4 3
10 6
0 2 3
3 3 2
2 0 3
1 0 3
2 0 1
0 2 0
1 2 0
3 2 2
3 0 1
3 0 3
10 3
0 1 4
1 4 4
3 4 4
0 2 1
3 3 0
0 1 3
2 1 2
2 0 2
0 1 2
2 3 2
10 9
2 3 0
0 0 4
2 3 4
3 4 3
2 0 3
1 1 2
2 4 1
0 2 3
1 2 4
1 4 1
10 5
2 0 2
2 3 1
1 0 1
2 2 3
3 3 1
2 1 0
2 0 3
3 3 3
0 0 0
1 2 3
10 6
0 5 1
2 5 5
0 2 1
5 4 1
1 3 5
0 4 1
1 4 4
4 0 1
1 1 5
3 0 1
10 6
1 2 0
2 2 0
3 2 1
0 3 1
0 2 3
2 1 1
3 0 1
1 0 2
1 2 1
2 3 3
10 7
1 1 4
4 4 1
2 2 4
1 3 0
1 1 3
4 0 3
3 3 0
1 0 0
0 4 4
1 2 2
10 4
4 0 3
0 0 4
2 2 0
2 4 3
2 3 2
4 3 4
2 0 0
4 4 1
0 4 1
1 0 2
10 8
3 3 0
0 1 0
1 1 0
2 2 1
0 0 0
0 0 2
3 1 1
2 1 2
0 3 2
2 0 2
10 8
2 3 1
3 1 1
0 1 0
3 1 0
3 2 1
1 3 2
1 2 0
1 1 2
2 0 2
2 2 1
10 8
3 3 2
3 0 2
2 1 4
3 2 4
2 1 3
1 1 4
4 1 1
0 0 2
2 3 3
2 0 1
10 7
1 0 0
2 2 0
0 4 1
3 1 2
3 0 3
0 0 3
0 0 0
1 1 2
3 4 0
3 3 4
10 4
0 3 2
0 3 4
5 2 1
1 1 1
2 2 4
3 1 5
5 1 1
5 3 1
3 0 1
3 5 1
10 2
1 2 4
0 3 4
4 3 4
4 3 3
4 3 0
0 2 3
1 2 3
2 4 4
0 3 3
4 0 0
10 4
1 3 1
1 0 2
3 3 1
2 1 1
2 0 1
2 2 1
2 3 2
1 2 2
3 2 1
3 3 2
10 4
0 3 0
0 3 1
3 0 0
1 0 2
0 3 3
1 1 1
3 1 1
0 2 1
0 2 0
2 2 0
10 8
1 0 5
4 0 2
3 2 1
2 3 1
0 2 1
1 4 1
5 1 3
1 4 3
3 4 2
4 1 2
10 6
3 1 3
1 3 2
3 0 1
1 1 0
0 1 2
1 2 0
1 2 1
3 2 2
1 1 1
2 2 3
10 7
2 3 1
4 4 5
3 5 0
2 0 5
3 1 5
4 5 4
0 2 4
0 1 5
5 5 2
5 0 1
10 5
2 0 1
1 0 1
2 0 0
1 0 2
1 1 3
3 2 0
3 3 1
0 2 3
1 3 0
0 3 1
10 2
2 0 2
0 3 2
4 2 4
0 2 3
2 3 3
0 3 3
3 3 0
1 4 2
1 0 2
4 4 2
10 7
1 4 3
1 1 2
0 0 4
4 0 1
2 2 0
1 4 0
2 1 0
4 2 3
4 4 2
0 0 0
10 3
0 2 1
0 1 0
0 2 0
2 1 2
2 0 0
2 0 2
0 1 2
1 2 0
2 1 1
1 2 2
10 6
0 3 1
1 0 0
1 0 2
3 2 3
2 0 3
0 0 4
2 2 0
3 0 1
3 1 0
1 1 3
10 7
2 4 0
1 5 0
2 1 5
3 3 2
4 0 3
0 3 4
4 1 3
4 3 5
1 0 4
2 5 4
10 8
4 0 1
2 2 4
3 0 1
5 3 2
4 2 2
4 1 1
1 1 5
2 4 5
3 2 0
4 1 5
10 9
2 4 2
0 2 3
1 2 0
0 0 4
1 1 4
0 2 4
0 1 3
3 4 3
3 0 3
0 3 1
10 8
0 1 3
3 0 1
2 0 0
0 1 5
5 4 1
2 3 2
3 3 0
0 0 4
2 1 5
0 1 1
10 5
3 1 3
1 3 0
1 2 3
1 3 2
2 3 1
0 1 1
1 1 3
1 2 0
2 2 1
1 0 3
10 8
0 1 2
2 2 1
1 2 2
0 2 2
0 2 0
2 2 2
1 1 1
2 2 0
1 0 0
0 0 1
10 3
1 0 2
1 2 2
2 1 1
2 1 3
1 1 1
1 1 0
2 3 0
3 0 1
3 0 2
3 2 3
10 5
2 0 4
5 0 3
0 2 0
4 3 2
4 4 3
0 5 0
2 3 1
1 3 1
0 5 2
1 0 0
10 5
2 0 1
3 1 0
2 3 3
1 3 1
3 1 2
2 2 2
1 1 0
1 2 3
1 2 2
1 2 1
10 2
0 4 2
3 5 4
3 2 2
3 2 4
3 1 2
5 4 2
2 0 4
0 1 2
2 1 2
0 4 4
10 7
4 5 3
2 4 1
0 4 3
1 4 3
0 5 3
1 1 0
5 5 3
5 5 5
2 2 5
3 3 3
10 7
4 0 0
1 4 2
2 4 0
4 2 3
5 2 0
1 3 3
4 3 0
3 4 0
2 5 3
1 0 2
10 3
4 1 2
4 4 5
0 3 1
4 0 1
4 0 4
5 3 1
5 1 3
0 3 4
2 5 1
5 5 4
10 7
3 3 3
2 1 2
0 2 2
2 2 1
3 0 1
2 3 1
2 1 1
0 2 1
1 3 0
3 3 1
10 9
3 5 0
5 5 1
3 0 4
2 2 3
0 1 3
0 5 1
4 1 3
5 5 0
4 5 3
0 3 4
10 7
3 0 3
3 1 2
0 0 1
1 1 2
2 0 2
0 0 3
0 2 3
2 0 0
3 0 1
1 2 1
10 5
2 4 0
3 1 3
2 2 0
0 5 4
3 4 1
3 2 4
4 0 0
1 5 3
0 4 1
2 4 2
10 3
2 4 2
0 0 2
3 4 0
1 2 3
3 0 0
2 1 0
4 1 1
3 4 4
1 2 1
0 0 3
10 2
2 2 2
3 2 1
1 0 3
3 3 3
0 0 0
1 1 2
3 2 0
0 3 3
3 3 2
0 2 2
10 3
0 3 2
3 4 1
5 3 5
5 4 5
2 1 0
0 2 1
2 5 2
0 3 4
1 3 1
1 2 3
10 5
3 3 2
0 2 3
0 0 1
3 2 0
2 0 1
3 1 2
2 3 0
2 2 0
3 0 2
0 2 0
10 9
4 5 2
2 1 0
1 3 1
1 3 0
2 5 1
1 5 1
1 3 3
5 0 3
5 1 3
5 1 2
10 2
1 2 2
0 0 1
2 1 1
2 2 0
1 1 1
2 0 2
0 1 1
0 2 1
1 1 0
2 1 2
10 4
0 0 1
0 1 0
0 0 0
0 1 2
2 0 2
1 2 2
0 2 1
1 2 1
1 1 2
0 2 2
10 3
2 2 1
1 2 1
0 0 0
2 1 2
1 1 1
1 0 1
1 2 0
0 2 1
1 1 2
2 1 1
10 9
1 2 2
0 2 0
0 3 0
1 2 3
3 1 2
1 1 3
0 2 1
1 3 1
2 0 0
2 3 2
10 4
0 4 2
3 2 4
2 1 4
2 3 2
2 1 0
3 1 4
1 2 1
4 3 0
4 1 4
3 2 3
10 4
4 3 0
2 2 1
2 0 1
0 1 4
0 4 2
3 1 2
2 3 4
2 5 0
1 1 5
0 5 0
10 4
0 2 1
3 0 3
1 3 2
3 0 4
2 4 0
0 2 3
2 4 1
2 0 4
4 0 2
1 4 3
10 4
3 0 0
0 1 1
1 0 0
2 2 1
3 2 0
3 0 1
2 2 0
1 1 0
0 0 1
2 3 0
10 2
0 2 0
0 1 2
1 2 1
2 1 0
2 1 2
0 1 0
2 2 0
2 2 1
1 1 1
1 0 0
10 3
0 1 2
2 1 2
0 2 2
1 2 1
0 2 1
0 2 0
0 0 0
0 1 0
2 2 1
1 1 1
10 5
3 0 2
1 0 2
3 2 3
2 0 3
0 1 2
1 2 2
3 3 1
2 2 2
1 0 1
3 2 1
10 9
4 2 3
3 2 0
4 3 4
4 3 1
3 4 1
3 0 4
1 3 4
2 4 4
1 0 4
1 3 1
10 9
1 1 2
1 3 0
3 4 1
0 3 4
4 3 1
4 4 1
3 0 2
2 2 3
2 1 0
0 1 2
10 6
4 5 5
4 3 2
4 2 4
4 5 0
2 1 4
2 5 4
4 2 2
0 0 3
1 1 1
4 2 5
10 8
1 4 3
3 2 1
5 4 5
3 3 5
4 0 4
2 1 1
3 2 4
0 5 2
4 3 4
0 2 0
10 5
1 1 2
3 1 1
0 3 0
2 2 2
3 3 0
3 3 2
0 3 2
0 3 3
3 0 1
1 0 2
10 5
0 0 2
1 2 0
0 1 1
1 1 1
0 1 2
1 1 2
2 2 0
2 1 1
2 2 1
0 1 0
10 6
1 0 0
0 2 1
2 2 0
0 3 3
3 1 0
3 2 0
0 1 3
0 2 3
2 0 3
2 2 2
10 6
1 0 0
2 1 1
2 1 2
0 1 3
0 1 2
2 3 2
1 3 0
1 1 2
3 2 1
2 3 3
10 5
0 2 5
4 5 2
2 3 0
2 2 5
1 0 4
3 0 5
0 5 0
3 2 4
3 3 3
4 5 4
10 2
1 2 1
2 1 1
0 3 3
1 1 3
2 0 3
3 2 2
0 1 3
1 2 0
3 3 1
1 2 3
10 4
0 1 1
1 3 3
1 0 1
1 2 1
1 3 1
1 1 0
2 0 1
3 2 3
1 1 1
2 0 3
10 9
3 1 1
0 3 3
2 0 0
1 3 3
1 1 2
1 2 1
2 0 2
1 2 0
2 3 3
0 2 3
10 9
2 1 1
1 2 1
1 1 0
0 1 1
1 0 2
2 1 0
1 1 2
2 0 2
2 2 1
1 2 2
10 9
4 0 1
0 0 2
3 2 3
3 0 1
1 3 5
1 3 2
1 5 2
2 1 5
2 0 4
1 0 4
10 5
2 0 1
0 2 0
0 1 1
2 0 0
1 0 1
0 0 1
0 2 2
0 1 2
2 0 2
0 0 2
10 4
0 4 4
5 1 0
1 4 5
3 3 5
0 5 4
3 1 2
4 2 5
3 0 0
2 3 2
1 3 5
10 6
2 2 0
3 3 5
3 4 5
2 4 3
3 5 2
1 5 3
5 1 2
0 2 5
3 5 5
3 0 5
10 4
2 1 2
3 4 1
4 4 2
0 0 0
2 2 4
4 1 4
3 3 3
2 1 0
1 3 2
4 0 1
10 9
4 2 5
3 5 1
0 3 3
1 2 3
1 3 3
5 0 3
5 3 4
2 1 1
1 2 4
1 5 0
10 9
2 1 2
4 0 4
3 1 2
1 4 3
1 3 3
1 4 2
3 3 4
1 0 3
1 2 0
0 4 0
10 5
1 2 1
3 0 2
3 1 0
3 3 2
2 3 2
2 1 0
2 3 0
3 3 0
2 0 0
2 1 2
10 2
3 2 2
1 2 0
1 2 3
2 0 3
3 0 2
2 2 1
0 2 0
1 2 2
2 0 0
0 2 1
10 9
4 4 4
3 1 3
4 4 0
3 3 4
3 4 1
0 1 0
0 3 1
1 3 3
4 3 3
1 1 2
10 2
2 1 1
2 0 1
1 2 0
1 0 2
2 2 1
0 1 1
0 2 0
0 1 2
1 0 1
1 1 0
10 8
0 0 1
1 1 1
1 4 2
1 4 5
0 1 5
5 0 3
1 3 3
5 2 1
4 4 5
0 2 5
10 2
1 5 1
2 1 5
1 0 4
3 2 0
2 2 4
0 3 1
0 2 3
3 1 4
1 5 5
4 1 0
10 3
0 4 3
4 2 2
0 0 3
3 1 2
2 2 2
4 2 3
2 1 2
3 2 2
2 4 2
1 0 3
10 8
0 2 2
0 1 0
0 1 1
2 1 2
2 2 1
1 1 2
0 0 1
2 0 0
1 1 1
2 1 1
10 8
0 5 2
0 1 4
5 1 1
3 2 4
3 0 3
4 1 2
4 1 1
4 3 4
5 3 0
1 2 4
10 5
4 4 4
4 2 0
2 5 5
2 1 0
4 3 2
2 2 1
5 4 2
3 3 1
0 3 4
0 5 1
10 6
2 1 4
2 2 0
4 1 0
0 2 4
0 1 0
4 2 1
0 0 2
2 4 2
4 1 4
1 2 2
10 3
1 3 0
2 3 1
4 1 1
0 4 0
2 3 2
0 2 0
0 3 0
2 3 0
4 1 4
3 2 1
10 8
1 0 2
0 1 2
1 2 2
2 2 1
0 1 1
2 1 0
1 0 1
1 2 0
2 1 2
0 0 2
10 8
1 1 0
2 1 1
0 0 1
1 2 0
1 0 1
2 1 2
2 0 1
1 1 1
1 2 1
2 2 1
10 4
2 3 1
1 3 3
1 1 2
3 1 1
3 0 1
3 2 3
1 3 2
1 0 3
2 2 3
2 2 1
10 2
2 2 3
2 2 0
2 3 0
1 1 0
0 2 2
2 3 3
0 1 0
1 0 2
3 3 0
1 1 3
10 3
0 3 4
0 2 1
4 2 3
3 1 4
3 0 2
3 3 0
1 2 3
1 1 1
1 4 4
2 1 2
10 7
1 2 1
2 1 0
1 0 1
2 0 2
2 1 2
1 1 0
0 2 0
2 2 0
0 2 1
2 0 1
10 4
4 5 1
2 5 3
2 1 4
2 5 5
0 2 4
4 5 2
3 0 3
0 0 3
0 2 5
0 0 4
10 9
4 5 0
1 4 4
3 3 1
2 2 4
2 0 1
4 4 1
4 3 2
1 4 0
5 4 4
0 4 3
10 3
2 2 2
0 0 0
1 1 2
2 2 1
1 2 2
2 2 0
1 0 0
1 2 0
1 0 1
1 0 2
10 7
0 1 0
1 0 2
0 1 1
3 1 0
1 3 1
2 1 0
3 3 2
1 2 3
2 2 0
0 1 2
10 7
2 3 4
0 2 4
1 0 3
0 3 3
0 0 1
3 0 1
2 3 2
3 1 0
1 1 4
2 0 4
10 4
0 1 2
2 0 3
1 0 1
0 2 3
3 0 2
0 0 0
3 1 3
2 0 2
0 1 3
3 1 2
10 7
5 3 2
3 2 1
5 5 0
3 1 2
1 2 5
5 0 5
4 1 1
1 2 3
2 2 5
3 4 5
10 8
0 2 2
4 2 1
1 2 2
0 4 4
0 2 5
2 5 0
4 0 0
4 5 4
3 5 1
3 2 3
10 2
2 4 4
0 2 3
3 3 4
0 3 1
1 2 4
2 2 1
2 2 0
0 2 2
1 3 3
0 4 2
10 4
0 2 2
1 2 0
1 2 3
1 3 1
0 2 0
0 1 0
0 3 0
3 3 2
2 3 3
0 0 2
10 2
4 1 4
1 2 5
1 5 3
3 2 4
5 2 4
4 2 5
3 3 4
1 4 0
3 4 0
3 2 3
10 5
0 3 1
0 1 3
2 1 1
1 2 1
3 1 2
1 2 3
0 0 3
3 1 1
2 3 0
3 0 2
10 4
3 3 1
0 4 1
4 2 4
3 0 1
3 2 4
4 2 1
0 2 1
1 1 2
2 1 2
1 2 0
10 6
3 1 3
3 2 1
0 2 1
0 0 3
3 3 0
0 3 2
3 0 3
3 3 2
2 1 1
0 1 1
10 8
0 0 1
4 1 3
3 1 2
3 4 2
1 3 2
2 2 1
1 3 1
0 3 4
4 1 4
4 4 3
10 4
0 0 1
0 2 2
0 2 1
2 1 0
1 1 0
2 2 0
1 1 2
2 0 2
0 1 0
1 2 2
10 9
2 1 1
1 1 2
0 1 2
0 1 0
3 2 2
1 0 3
0 2 0
2 2 3
3 0 2
2 1 0
10 6
1 2 1
1 2 2
2 2 0
2 2 2
0 1 1
2 0 2
1 0 0
2 0 0
0 1 2
1 1 1
10 8
4 4 4
2 4 1
4 0 5
5 2 4
5 3 5
5 2 2
0 2 3
3 0 3
2 2 4
0 1 4
10 7
2 2 1
0 0 2
1 1 0
1 1 2
1 0 1
1 2 1
2 2 2
1 2 2
0 1 1
0 1 2
10 2
1 0 2
2 3 4
4 4 0
3 1 0
4 0 3
4 3 0
4 4 2
1 4 0
3 3 0
1 3 2
10 7
4 3 1
3 2 0
5 2 4
1 1 5
4 2 0
2 4 5
5 2 0
0 2 1
0 0 5
2 4 4
10 2
4 2 0
2 3 4
0 4 0
2 0 4
2 3 1
3 0 2
2 2 0
1 3 0
0 2 0
0 3 2
10 3
0 1 3
3 1 1
3 0 1
0 1 2
1 3 3
3 0 0
1 1 2
0 0 2
2 2 1
3 0 3
10 2
2 2 0
2 3 1
2 0 1
3 1 3
3 2 0
2 2 1
1 1 2
0 1 3
1 3 2
1 0 1
10 4
1 1 0
2 1 2
0 0 2
2 0 0
2 0 2
0 2 1
0 0 0
0 2 0
0 1 2
1 2 1
10 3
2 3 2
0 2 2
1 1 3
1 0 2
1 1 1
3 3 0
0 3 2
2 3 0
0 0 2
0 0 3
10 8
3 2 0
1 3 1
0 0 1
1 3 0
0 3 3
2 0 2
0 1 0
3 3 3
0 1 3
3 3 2
10 5
2 2 2
1 0 2
1 2 1
1 0 1
2 0 1
2 1 0
2 1 2
0 2 0
1 2 2
1 1 0
10 4
4 3 4
5 5 2
0 2 2
3 4 5
2 3 1
3 1 4
2 4 4
4 2 1
0 0 5
3 5 4
10 6
5 3 2
3 4 0
1 5 0
2 5 2
0 3 5
5 4 0
3 5 4
2 3 3
3 1 5
0 3 4
10 9
3 0 1
1 0 0
1 2 2
3 3 2
3 2 1
1 0 1
0 3 3
3 0 0
2 2 0
1 1 2
10 3
4 2 0
3 3 1
0 1 4
4 1 4
3 2 0
4 3 2
3 3 3
3 3 4
3 2 1
2 2 2
10 9
4 1 1
2 1 2
1 0 2
0 1 4
4 4 2
3 4 2
4 4 0
3 4 3
1 3 0
3 2 3
10 4
5 1 4
0 2 4
0 0 1
4 3 1
2 2 4
5 1 2
1 5 3
2 0 3
4 4 2
4 3 3
10 9
2 3 4
1 2 3
3 0 2
3 2 1
0 1 4
0 0 4
1 2 4
0 2 4
1 1 3
1 2 2
10 9
3 0 2
4 1 3
4 2 0
3 2 2
4 2 4
0 1 0
1 0 3
4 3 2
1 3 3
4 4 0
10 5
0 2 0
2 2 0
0 2 2
0 1 0
1 0 0
2 2 1
2 0 2
1 0 1
1 2 1
2 1 2
10 2
4 2 5
4 2 0
0 5 0
0 4 3
5 3 2
2 3 4
3 4 3
3 2 4
5 4 5
0 5 3
10 6
2 0 3
5 1 1
4 5 0
3 2 2
0 4 4
5 1 4
5 5 0
5 2 3
3 4 3
3 3 4
10 6
2 3 1
0 2 1
2 0 1
3 3 3
1 2 0
0 0 0
1 1 0
1 2 2
3 3 0
3 1 1
10 3
2 1 0
2 2 2
0 1 2
1 0 0
1 1 0
1 2 0
2 1 1
2 0 0
0 2 0
1 0 1
10 9
0 1 0
0 2 1
1 0 0
1 0 2
3 2 1
1 1 1
0 1 3
1 1 0
1 2 3
1 2 2
10 3
2 2 2
2 1 1
1 0 1
1 1 0
0 2 0
0 2 2
0 1 2
1 1 1
2 1 2
1 2 1
10 7
0 2 2
4 3 3
1 3 1
0 1 2
2 1 1
4 4 4
1 2 3
0 0 2
1 2 2
4 4 3
10 5
2 4 3
3 0 0
3 2 0
0 2 4
5 0 4
1 4 0
1 5 3
0 1 5
1 3 3
4 3 5
10 3
1 1 3
2 3 0
0 0 3
1 4 2
4 0 3
4 3 4
0 0 0
2 0 3
1 2 3
4 2 4
10 7
3 3 5
5 3 1
2 4 1
3 4 1
0 3 4
1 5 2
5 0 3
5 3 4
1 5 1
4 3 3
10 5
4 4 5
2 2 3
3 0 5
4 1 4
3 4 0
4 4 2
4 1 1
5 3 1
2 2 4
1 2 4
10 3
0 2 1
1 2 0
2 2 0
2 2 1
0 1 2
1 1 0
0 0 2
2 0 2
0 2 2
0 0 0
10 6
1 1 4
0 4 3
2 4 3
0 3 1
2 2 3
1 4 3
3 4 3
4 4 0
3 3 4
2 3 0
10 8
3 3 2
0 2 2
1 1 2
1 1 3
0 1 2
0 1 1
2 2 0
3 2 1
0 3 3
3 0 2
10 6
0 4 0
4 3 4
2 0 2
2 2 2
2 1 1
2 4 1
3 1 4
4 3 3
4 1 2
3 2 3
10 6
1 1 1
2 2 0
1 1 2
2 2 2
0 1 2
0 2 0
0 0 1
0 1 1
0 2 1
1 0 2
10 5
3 0 1
3 1 0
2 2 3
2 2 2
3 0 0
2 2 1
3 0 3
1 2 0
2 0 3
0 1 3
10 4
0 3 2
2 1 2
1 2 4
2 0 3
0 2 2
4 0 3
3 3 1
3 2 4
3 4 2
4 1 2
10 9
0 1 1
2 2 2
2 1 2
2 0 1
1 1 0
1 0 1
0 2 0
0 2 1
1 2 2
0 0 2
10 3
2 1 2
2 0 1
2 0 0
3 3 1
2 3 0
3 4 0
2 1 0
2 4 4
4 4 0
3 1 4
10 7
0 1 2
1 0 0
2 1 2
2 0 1
2 2 1
0 2 1
1 2 0
0 2 2
0 2 0
1 0 2
10 5
1 1 2
2 2 1
1 0 1
2 1 1
1 1 0
1 2 1
0 2 1
1 1 1
2 2 0
0 1 0
10 7
4 1 0
2 4 0
0 2 5
1 4 5
3 1 1
0 5 1
3 3 3
2 0 3
3 2 4
3 5 4
10 8
4 1 0
0 5 3
3 3 0
4 0 3
2 1 3
1 3 2
4 4 1
4 3 5
1 3 5
0 3 5
10 4
1 0 1
1 2 1
0 0 0
1 1 2
2 2 1
2 2 0
2 1 2
1 0 2
1 2 0
2 1 1
10 4
2 2 0
1 1 2
0 2 1
2 0 0
2 1 0
2 1 2
2 2 2
1 0 1
1 0 2
0 0 0
10 7
1 2 2
1 2 1
5 1 0
0 4 2
0 4 1
3 2 2
3 3 4
4 0 3
2 1 3
3 5 2
10 4
0 4 1
1 0 4
4 3 2
4 5 5
4 1 3
2 5 2
4 4 3
0 0 5
3 1 2
0 4 0
10 2
2 0 1
2 2 3
0 0 4
3 3 3
2 1 4
0 3 2
1 2 3
0 3 0
2 3 3
4 1 0
10 4
1 0 3
2 0 2
1 4 3
3 2 4
1 2 0
4 0 2
4 3 2
3 2 1
3 0 0
2 3 2
10 8
1 1 1
2 2 3
3 2 3
2 2 5
1 0 1
2 4 4
4 2 5
5 0 0
0 3 5
0 0 5
10 4
4 1 0
0 4 1
0 1 1
4 4 2
4 3 2
2 1 0
1 2 2
2 2 1
2 3 3
0 2 4
10 2
1 3 0
1 1 3
2 1 1
2 0 3
1 0 1
0 3 3
2 2 1
0 3 1
2 2 0
0 0 2
10 5
2 3 1
1 0 2
1 3 0
0 0 0
2 1 1
2 3 0
3 0 0
1 0 1
1 1 3
2 0 0
10 9
2 3 1
2 3 2
1 0 1
1 0 3
0 0 3
0 2 2
2 1 2
3 3 2
0 2 3
0 3 1
10 4
4 1 1
1 0 4
0 1 2
0 3 3
1 2 4
4 2 0
3 3 3
0 3 1
4 1 4
0 2 4
10 7
0 3 1
3 0 1
1 1 3
1 4 0
3 3 3
2 2 3
1 2 0
2 0 0
2 3 1
0 0 3
10 9
3 4 2
3 0 4
3 0 1
2 3 0
3 2 3
4 0 0
3 3 0
2 3 3
2 2 1
1 1 3
10 9
1 0 1
1 2 2
2 2 0
2 2 1
1 2 0
0 0 1
2 0 1
0 2 0
2 1 2
2 1 1
10 7
0 2 0
0 0 1
0 2 1
2 0 2
2 1 1
1 2 2
2 2 1
0 0 0
0 0 2
2 1 2
10 6
2 0 0
0 2 1
2 4 4
1 1 4
4 4 0
0 0 1
4 3 1
2 1 4
2 4 3
4 1 0
10 9
4 5 1
4 1 2
2 1 2
2 4 1
3 2 0
5 0 1
1 2 1
0 4 0
5 0 5
4 0 4
10 9
2 2 5
0 0 2
1 0 3
5 3 3
1 2 5
3 0 0
4 0 5
0 2 5
0 1 5
1 4 1
10 5
1 2 1
2 2 1
0 0 2
2 1 1
0 0 1
1 1 0
1 2 0
1 0 0
2 2 2
2 2 0
10 6
0 2 4
2 2 2
0 3 2
2 1 3
2 2 4
3 1 4
0 3 3
0 4 1
3 3 4
3 2 1
10 6
3 4 1
2 0 0
4 3 0
2 2 2
3 2 3
0 4 2
2 3 3
3 2 4
3 0 4
3 1 0
10 5
1 4 5
4 2 0
1 3 5
4 3 4
5 2 1
0 1 2
5 4 2
3 0 0
2 0 2
4 0 4
10 2
2 1 2
0 1 1
1 1 2
0 2 0
1 1 0
2 2 1
2 0 2
0 2 1
0 1 0
0 0 0
10 2
4 0 2
1 4 4
3 3 4
4 4 3
0 0 3
3 1 2
0 2 4
4 3 3
1 0 3
1 4 0
10 4
3 0 3
2 0 1
1 2 3
2 0 3
2 1 3
1 0 0
2 3 3
3 1 1
0 1 1
1 1 0
10 4
0 3 0
2 4 1
1 2 0
3 3 3
0 4 1
4 3 0
4 2 4
1 4 2
2 3 3
0 1 4
10 6
2 0 4
1 4 4
2 1 2
2 2 0
0 2 4
4 3 4
1 0 3
4 1 3
0 3 1
3 4 4
10 6
4 2 1
3 0 2
4 4 0
4 0 2
1 0 1
3 1 1
2 3 0
1 2 1
4 2 0
0 3 4
10 4
2 3 3
0 2 1
3 1 3
0 3 0
3 2 0
2 1 2
0 1 3
3 2 2
2 0 0
1 2 3
10 4
2 4 4
2 4 1
3 1 3
2 1 2
0 1 2
3 1 4
1 3 0
1 2 1
1 1 0
3 3 3
10 9
1 2 3
2 2 2
2 3 2
1 1 0
0 2 0
2 2 1
3 0 1
3 0 3
2 1 2
2 3 0
10 3
5 3 0
5 2 2
1 0 2
4 0 1
2 0 2
0 1 1
5 0 3
1 4 4
1 2 0
4 5 3
10 2
4 0 2
5 3 4
3 4 5
1 1 3
0 1 0
4 1 0
3 1 3
2 0 2
1 5 1
4 1 3
10 9
4 0 2
1 0 4
3 1 4
2 2 0
0 3 4
1 4 0
0 0 3
0 3 1
4 4 2
2 0 1
10 9
1 0 2
2 0 0
0 1 2
0 1 0
0 1 1
1 1 0
1 1 2
2 2 1
2 0 2
1 2 1
10 7
0 2 2
1 1 0
1 1 1
5 3 4
0 0 0
0 3 1
1 0 3
1 5 5
5 2 3
4 3 2
10 8
5 0 0
0 3 0
4 3 1
0 3 3
5 5 5
3 4 3
0 1 2
2 5 5
3 0 1
0 2 4
10 8
1 1 2
1 0 0
1 2 2
0 0 2
1 1 0
2 0 1
0 0 1
2 2 2
1 2 0
0 1 1
10 5
2 2 2
3 3 3
1 3 3
0 3 1
3 0 0
2 0 1
3 0 2
3 2 0
1 2 2
2 3 0
10 2
2 0 0
0 2 2
4 2 3
4 0 3
1 3 3
0 4 0
2 1 4
2 3 4
3 4 2
2 2 2
10 3
0 1 0
2 1 1
1 1 1
2 2 2
0 0 0
0 2 1
2 1 0
1 1 2
2 0 2
2 0 1
10 4
1 4 0
2 1 3
3 3 2
0 4 2
1 0 3
1 2 4
2 0 3
4 2 2
4 4 1
3 0 0
10 5
1 2 3
2 4 3
0 0 3
1 3 2
1 3 3
1 0 2
0 2 0
0 3 0
1 2 1
0 0 0
10 9
2 0 1
2 0 0
1 2 2
0 2 1
0 0 1
2 1 0
1 1 0
1 0 2
0 2 0
1 0 0
10 3
0 1 2
1 1 1
1 0 0
2 0 0
0 0 0
1 0 2
1 0 1
0 2 0
2 1 1
1 1 2
10 7
1 2 1
0 2 0
0 2 3
2 2 3
3 2 4
4 4 2
3 5 1
5 0 2
1 0 4
1 2 2
10 9
1 1 0
1 1 1
2 0 1
1 0 1
2 1 0
0 1 2
0 2 2
1 2 1
1 2 2
0 0 2
10 2
0 0 2
0 1 0
2 1 1
0 2 2
2 2 1
1 1 2
2 1 0
1 1 1
1 1 0
2 2 0
10 3
2 1 2
1 2 0
1 3 2
2 0 3
1 1 0
1 0 0
1 3 0
0 2 3
1 2 3
0 0 2
10 6
1 2 0
2 0 1
1 1 2
2 1 2
2 1 1
0 1 2
1 2 2
1 0 0
2 2 2
1 0 2
10 4
3 1 2
2 2 0
3 2 0
1 2 0
2 3 1
3 1 3
2 1 3
1 0 0
1 0 2
3 0 2
10 7
2 4 3
3 0 2
3 4 3
3 0 1
0 2 0
3 3 5
3 1 1
5 3 4
3 5 1
4 5 0
10 4
0 0 2
3 2 1
3 1 3
3 0 2
3 2 3
2 0 3
2 1 1
3 3 3
2 3 0
1 1 2
10 4
5 3 3
5 5 5
0 2 0
5 0 0
4 1 5
0 5 5
5 1 5
2 3 3
2 1 2
5 1 4
10 7
0 0 4
1 4 3
4 4 2
1 1 2
3 1 3
3 4 1
4 3 2
4 0 0
2 4 3
0 2 2
10 5
3 2 3
5 2 1
2 1 4
4 4 3
5 5 2
1 4 4
3 3 4
2 4 1
3 3 3
4 1 3
10 7
4 0 1
1 2 1
3 4 4
2 3 0
1 2 4
3 1 1
1 0 1
2 2 1
4 1 0
2 3 2
10 3
1 0 0
2 2 0
0 2 2
0 0 1
0 0 0
0 2 0
1 0 1
1 1 0
2 0 0
2 2 2
10 3
3 4 2
1 3 1
4 2 1
1 4 2
1 2 1
4 2 3
2 3 3
0 1 2
4 3 0
4 0 2
10 4
2 3 1
1 0 2
3 0 1
2 0 0
0 2 1
3 1 0
2 3 3
0 2 0
0 1 3
1 1 3
10 6
2 0 3
2 4 5
2 1 2
2 5 0
3 5 5
2 4 4
0 5 0
2 3 1
3 5 4
1 1 0
10 6
0 0 3
1 1 2
2 1 4
1 2 0
0 2 3
3 5 0
4 2 3
3 0 1
3 4 5
3 3 5
10 9
0 2 1
3 0 2
2 0 2
3 3 0
1 2 0
3 0 1
4 1 4
2 0 4
2 2 3
1 4 0
10 9
4 2 2
1 4 0
1 1 2
1 2 4
1 2 0
4 3 1
0 4 2
3 0 2
0 1 0
2 0 3
10 4
0 2 2
1 1 0
2 1 2
1 2 1
2 0 2
1 2 2
1 1 1
1 0 1
0 2 0
0 1 1
10 4
0 3 2
0 2 0
2 0 0
0 1 2
0 0 4
4 2 4
0 2 3
4 2 1
1 0 1
4 4 3
10 3
0 0 4
2 4 2
5 5 3
0 1 2
1 0 5
0 5 0
4 3 5
3 5 3
2 4 5
0 1 4
10 4
0 4 5
5 1 0
3 4 0
1 4 5
3 2 4
3 5 1
0 4 3
5 2 3
0 3 4
5 0 2
10 7
3 2 0
3 2 4
2 5 3
4 4 0
5 3 4
1 2 4
1 4 4
5 5 2
4 3 5
5 1 0
10 9
4 5 2
2 0 0
0 1 1
4 4 1
4 2 0
3 2 3
4 5 1
4 5 0
3 4 1
1 1 1
10 2
3 1 3
1 3 1
1 3 2
0 0 3
1 0 0
3 1 2
3 3 2
3 0 2
3 1 1
2 0 2
10 8
5 4 3
1 1 3
2 0 0
5 2 3
3 1 2
1 3 1
2 3 1
5 0 1
1 0 3
0 0 0
10 4
4 3 2
4 5 1
5 2 1
4 2 2
5 5 0
1 5 2
4 3 0
2 4 4
3 2 0
0 3 5
10 9
1 0 1
2 1 2
0 1 0
2 2 2
0 2 2
1 1 0
0 0 0
2 1 1
0 2 1
2 2 1
10 7
0 0 2
2 2 2
0 1 0
0 2 2
1 0 0
0 2 1
2 0 2
0 0 1
1 1 1
2 1 1
10 6
0 0 0
2 2 1
1 2 1
2 1 2
1 2 0
0 1 2
2 0 2
2 0 1
1 1 0
1 1 2
10 2
1 2 4
2 1 2
2 0 1
2 4 3
4 2 2
3 4 1
0 4 3
4 1 3
2 2 2
4 1 4
10 9
3 0 2
0 0 4
3 1 3
0 0 0
0 1 3
3 2 2
3 2 1
3 0 3
3 4 4
1 0 1
10 6
0 2 1
0 1 2
1 0 2
1 1 0
1 1 1
1 2 0
0 2 2
0 0 1
1 2 1
0 1 0
10 8
2 2 2
4 3 0
2 1 2
4 3 3
1 3 1
4 3 1
2 0 3
0 1 0
1 0 1
2 4 3
10 5
0 0 2
3 2 0
4 1 4
3 3 0
4 0 0
4 4 0
1 0 3
1 2 3
3 4 3
2 2 1
10 4
2 2 2
2 1 1
2 1 0
2 1 2
1 2 1
0 0 0
1 0 0
0 1 1
0 2 0
1 1 1
10 7
0 0 1
2 0 1
0 1 0
2 2 1
0 1 1
2 2 2
1 2 1
2 2 0
2 1 1
1 1 2
10 2
2 0 0
0 1 2
2 2 0
1 1 0
0 0 1
1 1 1
0 0 0
1 0 1
0 2 1
2 1 0
10 7
0 0 1
0 1 0
2 0 0
2 0 1
1 1 0
2 0 2
2 2 2
1 0 1
1 1 1
2 1 1
10 9
0 0 0
2 0 1
1 2 1
0 0 2
1 1 1
1 1 0
0 1 0
1 0 2
0 2 2
1 2 2
10 5
0 3 3
2 3 2
0 1 2
1 3 2
0 0 1
0 2 3
0 1 3
2 1 3
1 2 0
0 2 2
10 7
3 2 1
2 0 0
2 3 3
2 1 0
0 3 2
1 2 1
3 0 3
3 1 2
1 0 0
2 0 1
10 4
0 4 4
4 4 3
0 5 4
5 3 3
4 2 5
4 4 2
1 1 2
0 1 2
4 0 2
5 1 0
10 2
1 1 1
0 1 1
2 2 2
1 2 0
1 1 0
0 0 0
2 1 1
1 0 0
1 1 2
2 2 1
10 9
3 3 2
3 4 3
5 2 3
2 0 1
0 0 2
2 3 4
3 2 3
0 1 2
0 2 0
4 4 5
10 9
4 0 0
3 1 2
4 2 3
1 2 1
2 0 1
0 2 0
4 1 1
1 0 3
1 1 3
1 1 4
10 6
0 2 1
1 3 3
2 3 2
1 3 2
0 4 4
2 4 3
4 0 2
2 2 2
4 0 0
4 1 1
10 8
4 3 4
1 2 4
0 1 0
0 4 3
2 2 1
2 1 3
2 0 3
4 4 2
2 0 1
4 0 3
10 5
2 0 1
1 2 2
1 0 2
1 2 1
0 1 2
0 1 1
2 2 0
0 1 0
0 0 1
2 0 0
10 6
0 5 4
1 2 1
2 0 1
1 4 5
2 4 2
3 2 2
4 0 1
3 3 2
5 1 2
4 4 4
10 9
1 1 1
0 1 0
3 2 2
0 2 1
3 4 1
1 4 3
1 2 2
4 1 1
1 4 1
2 0 0
10 7
1 3 1
2 3 0
3 2 2
2 0 2
0 0 1
0 1 2
3 1 3
1 1 0
0 2 0
3 3 0
10 4
2 1 2
2 0 1
0 2 1
2 0 2
1 2 2
1 1 1
0 0 2
2 2 2
0 0 1
2 0 0
10 9
0 2 1
0 1 2
2 0 2
2 1 0
0 1 1
2 2 2
1 2 1
1 2 0
2 2 0
0 1 0
10 3
1 1 2
0 1 3
0 1 2
2 1 0
1 0 0
0 3 2
1 3 0
0 2 0
3 0 3
0 1 1
10 4
1 2 2
4 3 2
2 3 0
2 2 2
2 1 2
4 4 4
1 0 2
5 2 2
5 3 2
5 5 4
10 5
2 3 2
5 4 2
4 4 1
4 2 3
0 4 0
5 1 1
1 2 5
4 5 2
4 5 5
1 3 1
10 8
2 0 0
1 2 2
2 3 0
2 1 3
0 3 2
2 2 3
1 2 1
2 2 1
3 0 3
2 3 3
10 6
1 0 2
1 2 2
3 1 3
4 1 2
3 1 1
4 3 2
2 1 4
4 4 0
1 3 2
1 3 1
10 7
0 0 0
2 2 1
0 2 1
1 0 0
2 0 1
0 2 2
2 0 2
1 2 0
2 2 2
1 0 2
10 2
2 3 1
1 0 4
2 1 2
4 0 1
2 1 4
1 3 4
2 4 4
4 1 2
2 0 3
1 3 1
10 6
0 4 3
3 4 4
3 1 4
5 0 5
0 0 4
5 1 0
1 1 5
0 5 4
3 5 5
4 0 2
10 6
2 1 2
0 1 2
2 0 2
1 0 1
1 2 2
2 0 0
1 2 1
1 1 2
2 1 0
0 0 0
10 7
0 3 0
2 0 0
1 0 2
0 1 3
1 2 2
0 3 3
0 1 1
3 1 1
1 2 0
3 3 3
10 2
4 0 0
4 1 1
4 0 1
0 4 1
4 1 2
2 3 4
0 2 4
3 4 3
2 2 1
4 0 3
10 8
2 0 2
2 0 4
0 1 3
0 1 0
3 0 4
2 2 2
4 2 3
3 4 3
2 1 2
0 1 1
10 2
1 0 2
1 2 5
5 3 3
4 2 0
4 2 4
4 0 2
5 2 0
0 3 0
4 3 2
2 2 1
10 8
1 1 0
0 3 1
5 0 2
4 1 4
4 3 0
3 3 5
5 1 1
1 3 3
2 0 2
2 4 0
10 8
0 4 1
2 0 0
2 3 4
2 4 4
4 4 3
0 0 1
1 0 2
4 2 0
1 3 3
0 0 2
10 4
0 3 2
3 0 3
2 3 2
0 3 3
3 2 3
0 2 0
0 0 2
1 1 3
1 1 0
3 2 1
10 8
2 0 0
0 1 0
0 1 2
1 1 0
0 2 2
1 2 1
1 0 1
0 0 0
1 2 0
1 1 1
10 6
1 2 1
0 1 1
0 0 1
2 1 2
2 2 2
2 0 1
0 2 2
1 1 2
0 2 0
2 0 0
10 8
1 0 2
2 2 2
0 0 0
2 2 1
0 1 2
0 1 0
2 0 0
0 1 1
1 2 0
2 0 2
10 5
3 3 1
3 2 3
2 3 2
1 1 2
2 0 0
1 3 0
0 1 0
3 1 3
3 3 3
3 2 2
10 5
2 0 1
4 0 1
4 2 0
0 5 3
3 5 0
3 1 3
2 1 2
0 0 2
2 3 4
1 2 3
10 4
2 5 1
3 0 4
0 5 5
2 3 4
2 1 4
5 0 5
2 4 3
1 3 0
5 3 1
2 5 2
10 6
0 3 5
2 4 2
2 5 2
5 4 1
0 3 0
5 4 3
2 1 0
3 4 1
0 3 1
3 2 1
10 5
3 2 3
1 2 0
2 2 2
0 0 0
3 2 2
0 2 0
0 1 1
1 0 0
2 2 0
2 0 3
10 7
2 1 3
0 3 2
2 3 0
3 3 3
3 0 3
0 3 1
1 2 1
1 1 3
0 0 3
1 2 3
10 9
2 1 1
0 2 2
0 1 2
3 0 2
0 0 2
3 3 2
2 0 0
3 1 1
2 0 2
2 2 3
10 8
2 1 3
3 1 2
1 1 1
0 1 0
1 3 0
3 0 1
1 2 3
2 2 0
2 0 1
3 3 0
10 9
3 3 4
3 2 4
3 2 0
5 3 0
2 4 0
4 0 1
3 1 3
0 1 2
0 5 5
3 4 5
10 6
1 0 3
1 2 2
0 0 2
2 2 0
2 2 3
3 2 2
1 3 0
3 3 3
1 0 1
0 0 1
10 7
4 3 1
1 3 1
0 0 3
3 3 3
4 4 2
2 0 3
0 1 3
0 4 0
4 4 0
1 4 2
10 4
2 3 2
1 3 2
2 4 1
2 2 0
4 4 3
1 2 3
1 4 2
0 4 2
2 2 1
4 3 4
10 8
3 2 0
0 2 3
1 4 4
4 1 1
2 4 1
3 0 2
1 0 2
0 3 0
3 0 0
0 2 0
10 8
0 2 1
1 2 2
2 1 1
0 1 1
2 2 2
1 2 0
1 1 0
2 1 0
0 0 1
2 0 0
10 3
2 1 2
0 2 0
1 1 1
1 2 0
2 0 0
0 0 0
1 1 0
2 2 2
0 1 0
1 2 2
10 3
1 0 2
1 2 0
0 3 1
2 3 0
2 2 1
3 1 2
0 2 0
0 3 0
3 1 3
1 3 0
10 2
4 1 3
1 4 2
2 2 0
0 3 3
3 1 3
0 0 3
4 3 1
1 1 4
1 2 1
0 0 4
10 9
1 0 4
0 4 5
4 5 0
0 2 5
4 5 2
4 3 1
3 1 5
5 0 4
5 5 2
3 2 3
10 4
5 5 2
0 0 1
4 1 5
5 3 3
5 3 1
3 0 2
1 4 2
0 5 2
0 2 4
0 4 5
10 3
1 2 1
2 1 1
2 2 0
0 2 1
1 1 2
2 1 0
0 2 2
0 1 1
0 1 0
2 0 1
10 7
1 1 2
0 1 3
2 3 3
0 0 2
3 3 2
0 2 1
2 2 3
0 1 1
3 3 0
2 1 1
10 9
2 2 0
1 0 0
1 2 0
1 1 2
1 2 2
0 0 2
2 0 1
0 0 1
0 2 0
2 2 1
10 4
2 4 0
3 3 0
3 1 0
1 1 2
4 1 2
4 2 2
4 0 1
1 1 3
0 1 3
1 4 0
10 9
2 2 1
4 2 2
4 1 0
1 3 0
4 3 3
4 2 0
0 4 4
2 1 3
2 4 0
4 1 3
10 3
4 1 0
4 5 0
4 0 0
4 1 3
3 1 5
0 2 2
0 5 5
1 3 5
0 3 3
0 3 0
10 5
5 5 2
4 4 1
5 4 3
5 3 3
1 1 4
2 4 2
0 4 1
0 1 2
2 3 3
5 1 2
10 4
2 3 3
2 3 1
2 3 4
0 1 2
1 1 2
0 0 2
3 0 1
1 4 0
1 1 1
0 1 4
10 4
1 2 5
3 1 2
2 0 2
0 5 4
1 2 3
3 2 3
2 0 0
5 5 0
0 5 2
0 4 2
10 6
2 0 1
0 2 0
0 1 1
2 2 1
1 0 0
0 0 0
0 2 2
1 1 1
1 2 0
2 0 2
10 2
0 4 2
4 3 1
0 1 0
1 3 5
3 5 1
5 0 2
5 2 1
0 2 0
1 5 1
0 5 0
10 3
2 2 1
0 3 0
2 2 3
0 0 1
0 1 0
1 3 1
2 0 2
3 1 1
1 3 3
0 2 1
10 4
1 2 1
4 1 4
2 2 4
3 0 1
3 4 1
2 3 3
0 4 0
0 2 1
3 0 3
2 2 1
10 8
1 3 0
1 2 3
1 0 3
2 3 3
2 0 1
0 1 2
2 1 2
3 2 0
0 1 0
0 2 1
10 9
0 2 2
3 2 2
1 3 4
4 2 2
3 3 3
4 2 3
0 0 4
3 4 2
0 0 0
0 3 0
10 9
0 2 0
0 1 1
0 3 1
1 0 2
2 4 2
3 1 3
3 4 4
4 3 4
2 1 3
1 1 2
10 3
3 3 1
2 1 2
3 0 2
3 1 0
2 3 2
2 0 2
1 0 2
3 3 3
1 1 0
1 1 1
10 7
0 2 3
0 2 2
0 2 0
2 3 0
1 0 3
2 3 2
0 1 0
2 2 0
3 2 0
0 0 2
10 7
3 2 1
0 2 0
0 2 2
1 1 0
1 2 3
3 0 2
3 0 0
3 3 1
3 0 1
1 3 2
10 9
0 2 0
0 0 2
2 1 1
1 2 1
1 2 2
1 1 0
2 2 2
0 2 1
1 2 0
2 2 1
10 4
0 1 1
4 3 4
2 3 3
2 1 1
3 1 4
2 0 1
2 1 2
4 0 2
0 3 3
2 3 1
10 8
1 1 1
2 0 0
2 1 1
0 0 1
2 2 0
0 2 1
0 2 0
1 0 0
2 1 0
0 1 0
10 6
1 1 1
0 2 3
3 0 2
2 1 2
1 3 2
2 3 3
2 1 0
2 2 1
2 3 0
3 3 2
10 4
5 4 3
4 0 4
4 4 4
4 4 2
0 3 0
1 1 0
5 3 3
4 3 3
1 0 1
5 0 2
10 4
3 2 1
0 0 3
0 3 2
3 0 0
1 1 1
1 3 3
1 3 2
3 1 3
3 2 0
0 2 3
10 6
2 2 2
1 2 0
2 1 0
0 0 2
2 0 0
0 1 1
2 1 1
2 1 2
0 1 2
0 2 2
10 8
2 4 0
3 0 4
3 3 1
2 4 5
4 1 4
3 3 3
1 3 4
3 0 0
4 3 4
5 5 2
10 7
2 0 1
2 4 4
2 5 1
4 3 3
5 5 4
2 5 4
5 2 1
5 3 1
4 0 0
5 1 1
10 6
4 4 4
3 3 2
3 0 2
0 2 5
2 4 0
0 3 4
1 3 3
4 4 0
0 2 0
3 1 4
10 7
2 5 4
0 4 3
5 2 1
4 3 2
2 4 0
0 4 5
1 4 0
4 3 5
3 3 1
0 0 1
10 5
0 1 0
3 3 5
4 0 2
3 5 0
4 2 2
1 4 5
3 1 3
0 3 3
1 5 2
0 2 2
10 9
0 1 3
2 1 1
4 1 2
3 0 1
3 1 3
0 3 1
3 4 0
4 3 0
4 0 1
2 3 1
10 6
4 1 1
4 5 5
0 3 0
5 2 2
0 5 1
0 0 3
0 2 0
0 1 0
2 2 4
2 3 4
10 8
2 3 2
0 1 2
2 1 0
4 4 4
1 4 0
4 2 3
3 3 2
3 2 1
2 2 4
0 3 2
10 5
1 0 2
2 1 1
1 1 1
2 0 1
0 1 2
2 0 0
2 1 0
0 0 1
1 2 2
0 2 2
10 6
2 1 2
2 0 0
1 0 2
2 1 0
1 0 0
0 1 0
2 1 1
1 2 1
2 2 2
2 0 2
10 9
2 0 1
5 0 3
0 5 5
0 3 5
4 4 0
1 0 5
2 2 2
5 1 2
1 5 5
5 3 2
10 7
0 1 2
4 1 0
1 1 3
0 2 2
4 2 2
0 3 1
4 4 3
1 0 1
1 4 4
0 2 1
10 5
2 0 0
1 0 2
0 2 1
0 2 2
1 1 0
1 2 2
1 1 1
2 2 2
2 2 0
0 1 1
10 6
0 1 2
0 0 1
0 1 0
0 0 0
2 2 2
0 0 2
0 2 1
2 1 0
1 1 1
0 1 1
10 9
3 1 2
1 2 2
3 0 4
3 4 2
0 2 4
3 3 2
1 0 4
4 4 3
3 4 4
0 3 3
10 4
1 0 1
2 2 2
0 0 1
0 1 0
2 0 2
0 0 2
0 0 0
2 0 1
2 2 0
0 2 2
10 2
0 3 1
4 3 4
2 2 2
1 1 0
0 3 4
1 4 3
1 0 4
2 1 1
2 0 1
3 4 3
10 8
1 2 2
0 2 0
1 2 0
2 0 2
1 1 0
2 1 1
0 0 2
1 0 2
1 2 1
1 0 0
10 5
1 0 0
1 4 4
3 4 0
1 1 4
4 2 3
1 2 4
3 0 1
3 3 4
2 1 3
2 0 3
10 5
0 0 2
1 3 0
2 0 3
1 2 0
2 2 1
3 3 3
3 3 2
3 1 0
3 1 1
0 1 1
10 6
0 0 0
0 2 1
1 2 2
1 2 1
2 0 1
1 1 1
1 0 1
2 1 0
0 1 0
1 0 2
10 8
2 0 0
1 2 0
2 2 2
1 1 1
0 0 0
2 1 2
1 2 2
0 0 2
2 0 2
1 1 2
10 6
1 4 2
2 4 4
3 0 0
4 2 2
3 3 3
3 0 1
0 0 1
1 2 2
4 0 2
4 3 4
10 7
5 1 3
3 3 1
1 5 3
1 0 5
2 3 2
3 3 2
1 2 5
5 0 1
0 3 3
1 0 4
10 5
2 2 1
3 1 3
2 0 2
2 3 3
1 0 2
1 3 1
3 0 0
2 0 1
0 3 2
2 1 0
10 3
1 0 0
5 0 3
4 1 5
1 5 0
0 0 0
3 1 3
4 5 5
4 2 3
5 0 2
3 0 1
10 3
2 1 4
2 4 0
3 5 1
3 1 0
3 0 4
4 5 0
4 4 3
5 4 0
0 1 1
4 3 4
10 2
0 0 0
1 3 1
3 2 3
1 0 0
2 1 3
2 3 3
2 0 0
2 2 2
1 0 1
2 1 0
10 9
2 0 1
2 2 2
2 2 1
1 1 0
0 1 2
1 2 1
2 1 0
1 0 1
2 1 2
0 2 2
10 8
1 3 0
2 1 0
0 1 3
0 0 0
3 1 3
3 0 1
2 3 1
1 2 0
2 1 2
2 0 3
10 3
2 4 0
3 4 2
0 1 4
3 0 3
0 1 2
1 1 0
3 0 1
4 0 0
0 4 3
3 0 0
10 4
1 0 2
2 1 2
1 1 0
2 1 0
2 0 1
0 1 1
2 2 1
2 0 0
0 0 2
1 2 1
10 5
4 3 1
2 0 3
0 2 4
3 4 3
3 5 5
1 4 5
2 1 0
5 5 5
2 3 4
4 4 5
10 9
3 3 0
2 0 1
4 1 4
0 3 4
0 0 0
1 1 4
2 3 1
3 0 4
1 3 3
1 0 0
10 2
2 0 2
3 1 0
0 3 2
2 3 0
3 3 3
0 0 2
1 1 0
0 2 1
3 1 3
0 1 0
10 8
0 2 2
0 2 1
1 0 0
0 0 2
1 0 2
2 1 0
2 2 1
2 0 2
0 0 1
1 2 0
10 7
1 1 0
3 3 0
0 0 3
1 0 2
3 2 2
2 0 3
2 0 1
3 2 0
1 3 0
3 3 3
10 6
2 3 4
2 1 4
4 2 1
1 3 3
2 5 2
0 4 4
2 3 2
1 4 4
3 4 1
4 2 5
10 4
3 2 1
1 2 3
2 0 3
3 1 2
2 3 1
2 3 0
0 1 0
1 1 3
0 3 0
2 1 0
10 8
3 1 1
0 0 2
2 1 3
3 1 0
0 0 3
2 1 1
1 2 3
0 1 1
2 0 1
1 3 2
10 5
0 2 4
3 1 3
2 2 1
0 3 0
3 0 3
3 4 1
3 0 0
1 4 2
3 2 3
4 0 3
10 4
3 5 4
2 1 1
3 3 5
3 5 0
5 0 4
4 1 2
4 2 1
0 1 1
5 5 5
3 1 4
10 6
3 2 3
4 0 1
2 1 3
2 2 1
4 2 0
1 1 4
1 3 0
0 0 2
1 1 0
0 1 1
10 4
1 2 0
0 2 0
2 1 0
0 0 1
0 1 0
2 0 1
1 2 2
2 2 2
2 2 0
1 1 2
10 3
2 0 2
1 2 3
5 5 5
2 4 5
3 3 3
0 5 2
3 0 2
0 2 0
3 3 2
3 5 1
10 9
4 4 3
5 3 0
1 1 5
2 2 3
1 2 4
0 2 1
1 3 3
2 5 3
5 5 3
1 4 5
10 7
2 2 1
2 1 1
2 5 0
2 0 4
2 1 3
2 1 4
1 3 2
5 0 2
2 3 1
5 1 3
10 5
3 2 1
4 4 4
3 1 2
2 3 3
3 3 0
4 4 1
2 2 3
0 2 4
3 4 2
0 0 2
10 4
0 3 2
3 3 3
0 3 0
0 2 3
2 3 0
2 2 2
2 3 3
0 3 1
3 1 1
2 2 0
10 9
1 0 3
1 0 2
1 0 0
3 0 0
3 1 2
3 2 2
2 1 3
1 2 3
0 3 1
2 1 2
10 8
2 2 1
0 0 1
0 2 0
1 0 2
0 0 2
0 2 1
0 1 1
1 0 1
1 2 0
2 2 0
10 2
4 1 1
1 3 0
3 3 1
1 0 2
3 0 0
4 2 2
0 1 0
1 2 4
0 3 4
2 1 3
10 8
3 3 3
1 0 3
2 1 1
1 3 3
0 2 1
3 2 0
2 3 1
0 0 3
0 3 2
1 2 0
10 8
1 1 2
1 0 1
0 1 0
0 1 1
0 0 0
2 0 2
1 2 1
2 1 0
2 2 2
1 2 0
10 7
3 1 2
4 1 3
0 2 3
3 1 4
0 2 4
3 4 4
2 4 2
1 1 1
2 1 1
3 3 0
10 3
2 2 3
0 3 0
1 2 4
2 4 0
4 3 2
4 2 1
2 0 4
4 3 0
2 0 3
2 3 4
10 9
1 0 0
4 1 2
3 3 1
3 2 2
3 2 1
2 3 2
1 4 1
0 0 3
1 3 1
4 4 4
10 4
1 2 4
4 3 1
0 1 3
1 0 3
2 1 4
3 2 0
0 2 3
2 0 2
3 4 2
3 0 0
10 8
2 3 5
2 1 2
2 3 3
0 5 4
3 5 1
2 3 4
0 0 1
5 2 1
4 1 0
1 5 2
10 5
0 1 0
1 1 0
3 0 2
3 0 3
2 3 3
3 1 0
1 2 1
2 2 0
1 0 0
2 1 0
10 5
4 3 0
1 4 4
2 3 0
2 2 0
1 0 0
3 3 1
4 0 0
4 1 3
0 3 0
0 1 1
10 3
3 2 1
4 4 2
0 1 3
1 4 2
0 3 0
2 1 2
2 2 4
3 2 2
0 0 1
1 2 1
10 5
1 3 1
4 1 2
0 1 4
3 2 3
4 2 2
0 0 0
4 4 1
1 0 4
3 4 3
4 0 4
10 8
0 0 2
4 0 4
0 0 0
3 2 3
5 3 0
4 5 4
4 4 4
1 2 3
4 4 5
1 1 3
10 7
0 3 0
1 3 2
2 0 1
1 0 3
2 2 0
3 1 1
3 1 3
0 2 1
3 1 0
1 2 1
10 6
1 4 2
4 4 4
3 3 1
1 4 4
0 3 3
2 2 0
0 0 3
3 0 1
0 1 2
4 4 3
10 2
1 4 0
1 4 4
0 0 0
3 0 2
3 4 4
2 1 2
4 3 4
2 1 0
0 3 1
3 1 2
10 6
2 2 2
3 2 0
2 0 0
2 3 3
1 1 3
3 3 2
2 1 2
1 2 2
0 1 2
0 3 3
10 2
4 2 3
3 1 4
0 3 3
2 2 4
0 3 1
2 3 3
4 1 2
1 2 0
1 4 4
0 2 1
10 2
3 1 4
3 5 3
5 4 2
3 0 2
5 5 0
5 0 3
2 5 5
0 1 4
1 1 5
5 0 0
10 9
0 0 2
2 0 1
2 0 0
2 0 2
0 1 1
1 2 0
1 2 1
0 0 1
1 0 0
2 1 2
10 7
5 5 5
3 1 1
3 3 1
1 1 1
0 5 2
4 0 2
3 1 3
2 0 4
1 5 2
2 3 4
10 7
1 2 3
1 0 3
1 1 3
3 2 0
2 2 0
2 1 2
2 3 2
0 2 0
3 2 2
3 3 1
10 2
1 2 0
2 3 0
0 2 3
0 0 1
1 2 2
1 1 3
1 2 3
2 2 3
1 3 0
3 3 1
10 9
0 3 3
3 0 4
0 2 0
0 3 1
0 3 0
0 3 4
4 0 3
4 1 0
2 2 3
4 1 3
10 5
2 2 1
4 2 0
0 2 4
2 0 4
1 0 3
1 3 3
0 2 1
3 2 3
4 0 3
2 1 3
10 6
3 3 0
4 1 1
0 0 0
1 1 0
2 3 0
4 0 4
5 1 4
4 0 0
3 0 1
2 5 5
10 5
0 1 1
0 0 2
1 0 1
1 0 0
2 1 1
0 0 1
1 0 2
0 1 0
2 2 2
2 2 1
10 8
4 3 1
3 2 2
3 3 2
0 0 1
1 1 3
4 3 3
4 4 3
3 0 4
3 2 3
3 0 2
10 9
4 0 3
0 3 1
3 1 2
4 4 0
1 1 0
4 2 2
3 3 2
3 0 3
1 3 0
2 1 1
10 3
2 2 0
1 1 0
1 2 0
1 2 1
2 1 0
2 0 1
1 1 2
0 0 1
0 2 0
2 1 1
10 3
2 2 1
0 0 1
0 2 2
2 2 0
0 2 1
1 2 0
1 0 2
0 0 2
1 1 1
2 0 1
10 9
0 1 0
1 3 1
3 1 0
3 0 0
3 2 1
2 2 0
1 0 1
1 1 3
1 0 3
3 0 3
10 7
1 0 1
2 2 0
2 1 1
1 2 0
0 0 0
2 1 2
1 1 0
0 1 2
2 0 2
2 2 2
10 9
0 1 3
1 3 0
2 0 3
3 2 1
2 3 3
3 3 0
1 0 3
2 2 0
0 1 2
1 1 0
10 9
1 2 3
0 2 1
1 2 2
2 2 1
2 0 2
1 2 1
3 1 0
0 1 3
2 1 0
3 2 3
10 4
0 1 1
0 0 1
2 0 0
0 2 1
2 1 2
1 2 1
0 0 0
1 1 2
2 0 1
2 1 0
10 6
1 0 2
0 1 0
2 2 3
2 0 0
1 1 2
0 2 1
2 0 2
0 0 1
0 2 0
2 0 1
10 3
0 0 4
2 1 4
4 0 4
3 0 2
1 3 1
1 1 0
3 3 4
2 0 3
3 2 3
2 2 0
10 2
0 2 0
1 1 1
2 2 0
2 2 1
2 1 0
1 0 2
2 2 2
0 1 2
2 1 2
1 2 1
10 3
1 5 0
2 5 2
0 0 3
4 1 4
4 2 5
2 1 5
4 1 5
5 2 1
1 5 4
5 1 1
10 4
1 0 2
0 1 0
1 0 3
3 3 3
3 3 1
2 0 2
0 3 1
2 3 1
1 1 2
3 3 2
10 8
2 0 3
0 0 1
0 2 2
2 3 3
0 3 2
2 3 1
2 2 2
1 0 3
0 2 3
2 0 1
10 6
5 2 1
1 1 4
3 3 3
0 2 1
1 1 2
5 2 2
2 1 4
3 1 2
2 3 1
2 4 3
10 8
1 2 2
3 0 0
3 4 3
1 3 4
1 0 3
4 2 3
3 1 3
4 4 3
0 3 0
0 3 3
10 3
2 3 2
0 4 2
4 2 0
3 4 1
4 3 2
2 4 3
0 4 3
3 3 0
3 4 3
3 4 2
10 5
1 2 5
4 1 3
3 3 4
5 2 4
5 3 3
2 1 4
4 5 1
4 1 5
4 2 1
2 4 3
10 2
0 0 1
1 0 0
3 0 0
3 3 0
0 2 1
0 2 0
2 3 0
3 1 1
3 3 3
1 2 3
10 8
2 0 2
1 0 1
1 1 1
2 2 0
0 3 0
0 3 3
2 0 0
1 3 3
2 1 3
2 2 3
10 2
5 1 1
3 1 5
4 0 0
0 4 2
0 3 1
5 5 3
2 4 1
2 3 2
3 2 1
5 0 4
10 8
3 0 5
3 4 3
2 5 2
3 5 1
4 5 0
4 5 5
3 3 5
3 2 0
0 5 0
3 4 0
10 8
2 0 4
4 2 2
3 3 3
0 0 5
1 5 5
2 2 4
4 0 4
3 2 5
5 4 0
1 3 0
10 8
2 2 2
1 0 2
2 1 0
1 0 0
1 1 0
2 2 1
1 1 2
2 0 2
0 1 0
1 1 1
10 6
1 2 2
2 1 2
0 1 0
0 1 1
2 1 0
2 2 0
1 2 0
0 2 0
2 2 1
1 1 0
10 9
2 1 1
1 2 2
1 0 2
2 2 1
1 0 0
0 1 2
2 0 2
0 2 0
0 2 1
1 1 2
10 3
0 0 1
2 1 2
1 2 1
0 2 2
1 0 2
2 2 2
2 0 1
1 1 0
0 0 2
2 1 1
10 3
2 3 1
1 3 1
3 3 3
2 0 3
4 0 0
1 0 4
4 2 4
0 4 3
2 1 1
1 3 4
10 9
3 0 2
0 4 0
1 0 4
1 2 3
4 3 1
2 4 2
0 2 1
0 1 3
3 0 0
1 1 0
10 9
0 4 4
2 0 4
3 3 3
4 3 3
4 1 0
3 2 1
0 2 2
3 2 3
0 4 1
4 4 1
10 8
3 1 2
0 1 0
1 3 3
3 0 2
1 2 1
0 0 1
2 1 0
0 2 2
3 2 1
0 0 2
10 9
3 2 2
3 3 2
1 3 3
0 0 2
3 3 3
0 2 0
0 2 2
0 0 1
3 1 3
2 2 3
10 9
5 2 2
3 5 0
2 5 2
2 1 4
5 5 5
2 0 0
3 3 2
0 4 3
3 4 0
1 4 1
10 6
3 2 3
0 1 0
0 0 2
3 0 0
2 1 2
1 2 0
1 1 2
3 1 2
1 0 0
3 0 3
10 4
0 0 2
3 0 2
1 1 3
0 0 0
1 3 1
1 3 2
1 2 0
3 2 2
2 0 3
2 1 0
10 3
4 4 1
1 4 4
2 4 2
1 1 4
3 0 2
3 4 4
1 3 0
2 3 2
2 4 4
2 0 0
10 6
2 0 1
2 0 0
0 2 1
0 1 0
0 0 0
2 2 0
1 0 0
2 2 2
1 3 2
3 1 3
10 4
0 2 3
2 1 0
1 0 0
1 2 1
3 2 0
0 0 0
1 3 0
3 3 2
1 2 0
3 3 0
10 7
4 1 0
2 4 1
3 5 5
3 4 3
5 2 5
2 2 0
5 0 1
1 1 3
5 5 3
1 5 0
10 2
0 0 0
0 2 0
0 0 2
1 2 1
2 2 1
1 0 1
1 2 2
2 1 0
0 2 2
1 1 0
10 3
1 0 2
2 1 0
0 0 3
4 0 1
3 2 3
3 1 0
0 3 1
0 3 4
4 4 1
1 3 0
10 3
2 2 0
1 1 2
1 1 0
1 0 2
0 1 2
2 1 0
1 0 0
2 2 1
0 1 1
1 1 1
10 9
3 1 1
2 0 2
2 3 0
0 3 1
1 3 0
2 2 2
1 1 3
3 2 2
0 1 1
2 3 2
10 3
3 4 0
0 1 0
4 0 3
1 1 0
2 2 2
0 1 4
0 4 3
4 3 3
4 4 1
3 4 4
10 7
2 2 0
0 1 0
3 0 2
3 2 3
0 1 1
0 1 2
2 0 2
0 2 2
2 2 1
3 0 0
10 7
3 1 0
2 2 4
1 2 4
1 0 0
1 4 1
1 4 2
2 2 2
4 2 0
2 4 4
4 0 0
10 5
4 2 4
1 0 3
4 2 2
0 1 4
4 3 3
1 4 0
2 0 2
3 1 2
3 0 4
1 1 0
10 3
0 1 1
3 3 1
2 3 2
0 1 2
0 0 1
2 3 3
2 2 1
2 3 0
1 0 1
0 0 2
10 4
4 0 4
0 4 0
2 3 3
0 2 2
4 0 0
3 1 1
2 3 4
2 1 2
4 3 0
1 2 2
10 5
0 1 4
1 4 1
1 0 2
0 3 0
2 2 0
2 1 3
3 4 3
3 4 4
2 1 2
4 0 3
10 4
5 5 0
0 1 4
3 4 4
3 2 0
5 5 5
3 1 5
5 1 5
2 1 0
1 4 1
1 0 5
10 2
1 3 0
4 4 3
2 2 2
1 3 3
2 1 4
1 1 1
3 0 4
3 1 4
1 2 4
1 4 4
10 7
1 1 1
2 0 0
2 2 0
0 2 0
0 1 0
1 0 2
0 0 2
0 0 1
0 1 1
1 2 0
10 6
1 1 0
2 0 0
0 0 1
0 2 1
2 0 1
2 0 2
2 2 1
2 2 0
0 2 0
0 0 2
10 3
2 0 0
2 2 1
1 1 2
2 1 0
2 2 2
1 0 2
1 2 1
0 2 1
2 1 2
0 2 0
10 9
1 4 0
2 0 2
3 1 3
4 2 1
3 3 0
3 2 0
1 2 4
4 0 0
0 3 0
4 1 2
10 8
2 5 1
3 5 1
1 5 0
0 3 3
2 1 3
4 4 2
3 0 5
3 5 4
3 0 0
5 4 5
10 2
0 0 1
3 0 3
3 1 0
2 2 2
0 3 2
3 3 2
1 1 1
2 2 3
1 1 2
1 3 0
10 6
0 0 5
0 2 5
3 5 2
3 4 4
4 1 2
5 1 4
1 2 0
1 3 3
1 0 4
1 4 0
10 2
4 5 4
3 5 3
5 3 4
1 0 0
4 2 2
5 3 2
2 2 1
1 2 4
3 1 4
1 2 5
10 7
1 1 4
1 3 1
4 4 3
1 1 0
0 0 4
3 4 2
0 4 0
4 1 0
2 4 3
0 4 3
10 9
2 4 1
3 2 1
2 1 1
0 1 5
4 1 3
5 2 2
0 3 4
1 1 1
3 0 2
0 5 4
10 7
1 3 1
2 2 3
0 2 1
2 0 1
2 1 3
1 1 2
2 1 2
0 2 3
1 2 0
0 0 0
10 4
3 1 0
2 1 3
0 1 3
0 4 1
2 0 1
0 1 2
0 1 4
2 4 1
0 4 0
1 1 2
10 2
1 4 3
0 0 4
1 4 0
0 4 3
2 4 3
1 3 3
2 0 4
2 2 1
1 0 3
4 2 1
10 3
2 3 3
1 1 2
0 1 1
2 0 3
3 1 0
0 2 2
3 0 1
3 1 3
2 2 2
2 1 3
10 6
2 3 0
4 0 1
3 3 1
1 0 3
0 2 0
0 2 1
0 4 0
4 0 2
2 3 4
1 1 2
10 6
2 2 0
1 0 2
2 1 0
1 1 1
1 2 0
0 2 0
1 2 2
2 2 2
1 0 1
0 0 0
10 9
0 1 2
1 2 1
0 2 0
0 1 1
1 0 1
2 2 0
0 0 2
2 2 1
1 0 0
1 1 1
10 7
4 3 4
2 0 2
3 1 3
2 4 2
1 3 2
0 3 4
2 2 1
0 0 1
2 4 1
2 3 4
10 4
0 2 0
1 2 0
1 2 2
0 1 1
0 2 1
0 1 0
2 1 2
0 0 1
1 2 1
1 1 1
10 9
0 2 2
2 0 1
1 1 2
0 2 0
0 0 0
2 2 2
1 2 0
1 1 1
0 0 2
0 1 2
10 6
0 4 5
2 4 2
0 1 3
1 0 2
3 3 2
1 5 5
3 4 5
3 0 0
4 4 2
2 4 1
10 2
0 1 0
2 1 3
3 1 0
1 3 2
3 1 3
3 3 0
0 2 0
2 2 2
3 1 1
3 3 2
10 9
1 2 1
3 0 2
0 2 0
0 0 2
3 3 1
0 2 3
1 1 2
2 0 2
2 0 1
1 0 0
10 4
1 2 1
0 1 0
1 3 1
0 3 0
1 3 0
0 0 1
2 3 3
3 2 2
3 2 1
1 1 1
10 8
0 3 5
4 2 1
2 3 2
4 3 2
3 1 0
1 4 1
1 2 0
5 2 3
3 3 5
3 5 5
10 8
0 2 2
0 0 1
1 1 1
3 2 0
0 1 3
0 0 2
3 2 1
1 1 3
2 2 3
3 3 0
10 5
2 2 1
0 1 0
1 0 0
0 2 0
4 4 4
0 0 0
1 2 0
1 4 2
3 3 3
3 4 2
10 7
0 0 1
0 2 0
1 0 0
2 1 2
0 2 2
0 0 2
2 0 2
1 1 1
0 1 1
2 2 0
10 3
2 1 0
4 1 1
3 2 2
1 3 1
1 4 0
4 0 0
4 3 3
1 1 1
3 1 0
1 2 4
10 7
0 2 2
1 1 0
0 0 2
2 2 2
2 0 1
0 0 1
0 1 1
2 1 1
0 1 2
1 0 0
10 3
2 4 0
2 0 1
2 1 2
4 5 0
3 0 4
0 4 5
1 0 1
3 2 3
4 0 5
1 0 0
10 9
2 0 3
1 5 3
2 1 4
1 3 5
0 2 1
2 2 1
3 4 1
1 4 5
0 0 4
3 2 4
10 9
3 2 1
1 0 1
1 2 1
0 0 2
0 1 3
3 3 3
3 1 3
2 1 3
0 3 3
1 2 3
10 5
1 4 2
3 1 4
0 3 0
2 2 0
2 1 2
1 1 4
0 0 1
1 3 1
1 0 3
0 2 3
10 9
1 2 2
0 1 1
3 0 2
3 2 0
3 3 2
3 1 1
2 0 0
0 0 2
2 3 3
1 1 1
10 4
2 2 0
0 1 0
1 1 2
0 2 1
2 1 0
2 2 2
1 0 2
0 1 1
1 2 2
1 1 0
10 9
5 4 2
5 2 0
1 4 3
5 3 0
4 4 3
1 4 2
1 1 4
5 4 4
0 2 0
1 1 3
10 5
2 1 2
3 1 2
0 2 3
0 0 3
2 3 0
1 2 0
0 3 0
0 1 0
3 0 3
0 1 1
10 7
3 0 3
5 0 3
0 3 4
4 2 3
5 3 2
3 0 2
2 1 4
2 5 4
0 4 4
2 5 5
10 4
2 2 1
1 1 3
0 4 0
3 2 3
0 2 3
1 4 2
1 0 0
4 2 4
4 0 3
2 3 0
10 6
5 2 4
0 0 4
0 4 5
0 1 5
4 3 3
5 5 3
4 5 0
3 0 1
5 1 3
2 3 5
10 9
3 0 0
0 3 2
3 3 4
1 4 4
3 4 1
1 0 3
1 4 1
4 1 3
2 3 2
1 1 2
10 7
3 2 0
0 3 1
5 2 1
0 0 2
4 4 2
0 5 0
4 3 2
1 5 5
3 4 5
1 0 2
10 8
2 0 2
0 2 1
0 1 1
2 2 1
2 0 1
2 1 2
2 2 0
1 0 1
1 1 2
1 1 1
10 4
1 2 3
4 4 2
3 2 4
1 0 0
1 1 3
0 4 3
4 1 4
4 2 3
0 0 1
4 4 1
10 8
0 2 0
4 3 4
4 1 2
1 1 2
0 4 2
1 0 3
0 3 1
2 1 1
3 1 2
3 1 0
10 3
0 0 1
0 1 2
1 1 2
1 2 1
1 0 0
2 1 2
1 2 2
1 0 1
0 0 2
1 1 1
10 9
3 4 2
3 3 3
0 4 4
3 3 2
3 4 0
5 1 0
3 2 2
5 1 3
4 3 2
3 0 0
10 3
4 4 5
5 4 3
2 4 2
2 2 5
0 0 1
3 3 0
5 5 5
2 5 0
2 1 4
5 1 0
10 7
3 4 3
1 4 5
1 1 0
0 1 1
4 2 2
4 1 2
2 1 2
3 0 2
1 1 5
5 2 2
10 8
3 3 1
1 2 0
0 3 0
0 1 0
1 3 0
1 3 1
2 0 2
0 0 2
0 1 2
1 0 2
10 7
5 4 4
1 5 2
3 4 4
5 5 2
1 3 1
5 0 5
1 1 2
2 0 1
3 3 5
1 4 4
10 9
3 2 1
1 1 3
3 3 1
0 3 1
2 0 1
2 2 0
3 2 3
2 0 0
1 1 1
1 2 2
10 3
0 1 1
1 0 1
0 1 3
2 1 0
1 2 3
2 2 1
0 3 3
3 1 3
2 0 0
2 2 3
10 4
4 4 0
4 4 1
2 0 2
3 0 1
1 0 4
2 0 3
2 2 4
1 2 1
1 3 1
1 2 3
10 8
3 3 2
2 5 3
0 5 0
1 4 4
0 3 0
1 1 3
3 2 5
1 5 1
0 3 2
1 4 5
10 4
1 1 2
2 1 0
0 1 2
3 3 0
2 2 1
0 2 0
2 3 1
2 1 2
3 0 1
1 1 0
10 4
2 0 1
1 1 1
1 2 2
1 1 2
2 1 1
1 0 2
2 0 2
0 1 2
0 0 1
2 1 0
10 7
1 0 2
0 0 1
0 2 2
0 1 0
2 0 2
1 1 2
0 0 2
2 2 2
1 2 0
1 1 1
10 2
0 0 0
2 2 2
2 0 2
2 0 0
2 1 0
0 2 2
0 1 1
0 1 2
1 1 1
1 0 1
10 7
1 3 1
3 3 2
0 3 3
0 1 1
0 0 2
1 3 2
0 2 3
1 0 3
1 2 2
2 2 2
10 4
2 4 2
1 2 2
3 1 2
1 1 0
3 4 4
2 3 0
1 4 0
4 2 4
2 2 2
1 3 0
10 7
3 2 2
0 4 3
1 0 0
4 0 1
4 4 1
3 4 3
1 0 3
3 0 2
1 1 2
2 1 4
10 7
1 1 0
2 0 2
1 0 2
2 2 1
0 2 2
2 2 0
1 2 2
0 0 0
2 0 1
0 0 1
10 6
0 1 2
0 2 0
2 0 0
0 1 0
0 0 1
2 2 2
0 0 2
0 2 2
2 1 1
1 2 1
10 4
2 1 1
1 0 2
1 2 2
2 2 0
2 0 2
0 0 0
1 1 0
2 1 0
1 2 0
0 0 2
10 6
0 0 0
2 0 0
2 2 1
2 1 1
2 1 0
0 2 2
0 2 1
0 1 2
1 0 1
1 0 2
10 4
0 2 2
0 0 0
2 0 1
2 2 0
0 2 1
0 2 0
2 0 2
1 2 0
2 1 2
2 1 0
10 3
2 2 1
1 1 0
0 2 2
0 1 1
0 2 1
0 0 1
0 1 2
2 0 1
1 1 2
2 1 2
10 4
5 5 4
2 3 2
5 0 2
1 3 1
3 3 2
2 4 1
1 3 2
4 1 3
3 0 5
4 1 2
10 5
1 2 1
0 1 2
1 1 1
0 0 0
0 1 1
1 1 0
2 1 0
1 0 1
0 0 2
0 0 1
10 7
0 2 2
2 0 2
2 2 0
2 1 2
0 1 2
1 2 2
2 1 1
2 2 1
0 0 1
1 2 1
10 6
0 2 5
3 5 4
1 2 3
4 3 4
3 3 2
5 4 3
0 0 1
1 5 2
0 4 2
4 3 3
10 7
1 1 2
1 1 1
2 2 0
2 1 2
2 1 1
1 2 2
0 0 1
0 1 0
0 1 1
2 2 2
10 9
4 0 3
4 1 4
4 2 4
3 3 4
4 3 0
2 0 2
4 4 0
3 1 3
3 4 0
2 1 1
10 2
1 0 0
1 0 1
2 0 1
1 1 2
2 1 1
1 2 2
0 1 1
0 0 1
0 2 2
2 0 2
10 2
3 3 3
4 1 0
2 3 0
0 2 1
5 5 5
1 2 1
1 5 3
5 3 0
1 4 2
2 1 4
10 3
1 1 2
1 1 0
1 0 1
1 0 2
2 1 0
0 2 1
2 1 1
0 2 2
0 1 2
2 1 2
10 4
1 0 2
2 1 4
0 4 0
1 2 0
3 0 0
2 4 0
0 2 0
0 2 2
1 1 2
4 4 1
10 5
3 0 2
1 3 0
2 0 3
2 0 1
1 0 0
0 0 3
3 3 0
0 1 2
1 2 0
3 2 3
10 3
3 2 4
4 4 2
0 3 3
0 3 1
1 5 3
3 2 2
0 2 3
2 5 2
3 1 5
2 2 1
10 6
5 1 5
3 0 0
2 4 0
2 4 2
4 1 3
4 4 4
4 0 0
2 3 5
1 5 4
5 5 5
10 4
4 1 2
4 2 1
1 3 1
3 1 0
1 0 2
4 4 4
0 3 0
4 0 3
3 4 4
2 3 1
10 9
0 1 1
0 2 0
0 1 0
1 0 1
2 0 2
0 0 0
2 1 0
1 0 0
1 0 2
0 0 2
10 7
1 2 1
3 3 1
1 2 3
2 0 2
3 0 1
0 3 2
2 1 1
1 2 0
1 0 2
0 2 0
10 9
3 4 2
4 5 3
3 1 3
5 4 0
0 1 1
3 3 2
5 5 1
3 1 1
5 5 2
0 1 3
10 7
4 2 2
3 1 3
4 4 4
0 2 4
2 0 0
0 3 2
2 0 4
2 3 1
3 4 2
4 3 3
10 8
2 4 1
3 3 2
1 2 3
4 1 4
4 2 4
3 1 4
3 4 0
0 3 3
1 0 3
2 2 3
10 7
0 1 0
2 0 0
3 0 0
0 3 1
0 4 0
1 2 0
4 2 4
4 4 3
1 2 4
3 4 1
10 8
2 1 2
1 2 1
2 2 2
0 1 1
0 0 0
1 0 2
0 2 1
1 0 1
1 2 0
1 0 0
10 4
1 4 1
4 0 4
3 5 4
0 5 5
1 1 2
3 1 4
3 2 5
4 5 4
5 0 5
1 5 2
10 8
4 3 4
0 4 2
2 3 1
0 3 3
4 3 2
0 0 2
4 1 3
2 2 4
1 4 4
0 3 4
10 6
3 0 0
1 0 2
1 3 2
1 3 0
0 0 3
1 3 1
1 1 3
1 0 3
2 2 2
0 3 0
10 2
0 1 2
0 1 1
1 2 1
2 2 0
0 0 2
1 1 2
1 1 0
2 1 2
1 0 1
0 0 1
10 7
5 2 5
4 0 0
2 0 4
5 5 1
0 2 5
2 2 5
1 5 3
0 5 0
5 4 3
4 0 4
10 8
3 0 0
3 0 4
4 0 3
1 4 3
0 2 3
3 4 1
3 3 0
2 1 4
4 2 3
2 4 0
10 6
3 0 2
3 0 1
2 0 1
2 2 0
1 0 0
2 1 3
2 2 3
3 3 0
0 1 0
1 2 2
10 2
2 2 3
0 2 1
2 0 0
0 1 0
1 3 1
2 3 1
1 1 3
0 2 3
2 1 2
1 0 0
10 3
3 2 2
0 3 3
1 0 0
1 2 0
3 1 1
0 3 2
1 1 2
0 0 0
1 3 0
0 1 3
10 3
2 0 3
0 1 1
0 0 1
0 1 3
1 3 3
2 1 1
3 1 1
0 3 1
0 0 2
3 2 0
10 2
1 1 3
4 3 4
4 2 0
0 1 2
0 2 1
3 4 3
1 0 0
0 1 3
2 2 1
1 1 2
10 6
0 1 2
1 1 0
0 2 2
2 0 2
1 0 1
1 1 2
0 1 0
2 1 1
2 0 0
1 2 1
10 4
0 2 1
3 2 1
3 0 1
4 1 4
1 2 4
0 0 3
4 3 1
2 3 1
0 1 4
2 2 0
10 2
1 0 2
1 2 1
2 1 1
1 1 2
2 2 2
2 0 2
0 1 1
0 0 2
1 1 0
0 2 0
10 2
2 2 3
3 3 4
3 1 3
1 0 2
0 1 1
4 4 1
2 1 3
4 0 0
2 3 0
2 4 0
10 3
0 0 1
1 1 1
2 1 2
0 0 2
2 2 2
2 0 1
1 1 2
1 0 2
2 0 2
1 0 1
10 9
4 0 0
0 3 1
2 2 4
3 3 1
4 4 0
4 0 2
4 1 2
1 1 2
0 2 0
3 4 3
10 6
1 3 0
1 1 2
3 4 2
2 2 4
1 0 2
0 2 0
0 0 0
1 2 4
1 3 2
4 0 3
10 9
3 4 5
2 3 5
4 2 4
2 2 5
0 4 3
1 2 3
4 0 5
1 2 4
2 3 2
4 0 0
10 9
2 2 1
4 2 0
2 4 1
1 2 4
4 0 1
0 1 2
4 0 2
3 2 0
2 3 0
1 3 4
10 5
3 4 2
3 2 5
2 0 3
4 0 1
2 3 0
3 0 2
0 5 3
5 1 3
0 2 1
4 3 5
10 2
2 1 3
3 4 4
0 0 4
2 2 2
4 2 1
0 0 1
2 2 4
4 1 1
4 4 2
1 0 2
10 2
1 3 1
0 2 0
4 3 4
1 0 4
4 2 0
2 4 3
4 0 1
1 3 2
2 2 2
0 0 3
10 3
4 2 3
2 2 3
4 3 2
2 3 2
1 2 2
2 0 2
0 2 4
2 1 3
0 2 2
4 3 3
10 8
1 2 2
2 1 0
2 0 2
1 1 0
2 1 2
1 1 2
0 1 1
0 1 2
0 2 2
2 1 1
10 3
3 0 2
3 1 1
0 3 3
2 0 3
1 3 1
2 3 0
2 0 0
3 0 1
1 3 0
3 1 0
10 6
1 0 4
3 5 3
1 3 2
4 2 4
1 4 5
5 4 5
2 5 3
4 4 5
0 5 2
1 5 0
10 2
2 3 3
0 3 0
1 0 0
2 3 2
1 2 3
3 3 3
3 0 1
1 0 3
1 1 1
3 1 2
10 5
1 4 4
3 5 4
5 2 1
4 0 4
4 1 2
5 1 2
5 3 2
5 2 2
5 4 4
0 5 2
10 2
0 0 0
0 2 0
2 2 1
1 2 0
2 1 1
2 2 2
0 2 2
0 1 2
0 1 1
0 0 1
10 7
0 1 0
3 3 2
2 2 1
2 3 0
3 1 3
2 2 3
1 3 1
1 2 3
3 2 1
2 1 0
10 6
3 1 0
1 4 2
3 2 1
1 1 1
2 3 3
3 4 3
3 0 1
3 2 3
0 4 3
4 4 1
10 5
4 4 3
1 3 3
2 1 2
1 3 4
3 3 2
1 2 0
3 0 0
4 2 0
0 0 4
1 2 4
10 2
3 4 1
3 0 2
3 0 3
3 0 4
0 4 0
3 2 4
0 3 4
0 2 1
1 2 1
1 1 3
10 7
1 2 2
1 1 2
1 0 0
2 2 1
0 1 0
1 1 0
0 2 0
1 0 1
1 2 1
1 1 1
10 7
0 1 1
2 2 1
0 0 3
1 3 1
2 2 3
3 2 1
2 3 0
2 1 0
3 0 0
2 3 3
10 3
5 2 0
0 1 2
5 1 3
4 3 3
1 3 0
1 2 5
2 4 2
5 3 3
0 5 2
3 2 1
10 2
0 1 2
2 2 2
1 1 1
0 2 0
2 0 0
2 2 1
0 1 1
1 2 1
1 0 1
0 0 1
10 9
4 1 5
1 5 2
1 3 0
0 5 2
0 3 0
3 2 4
4 0 3
4 3 5
2 5 3
3 1 1
10 8
1 2 2
0 3 0
1 3 3
0 3 3
3 3 0
1 2 0
1 3 0
1 0 0
2 2 0
2 1 0
10 2
0 2 2
2 1 0
2 0 0
0 0 0
0 1 2
1 1 1
1 0 2
2 0 2
1 1 2
2 2 1
10 9
2 1 3
1 2 4
4 2 1
4 3 1
3 2 2
3 2 3
1 2 1
2 1 1
4 0 1
4 2 3
10 3
0 0 0
2 3 2
2 2 2
1 2 2
2 1 1
2 3 0
0 2 3
2 3 3
0 2 1
2 2 1
10 8
4 0 1
3 4 4
3 5 4
5 5 1
1 1 2
0 2 2
4 2 5
0 0 4
4 4 1
5 2 3
10 6
1 0 2
1 2 1
1 1 0
2 1 0
2 0 0
2 1 2
0 0 2
0 2 0
2 2 2
0 1 1
10 3
4 0 1
2 4 4
2 1 3
2 0 4
1 0 2
2 1 4
1 0 1
0 1 0
5 4 5
4 2 2
10 3
1 3 0
3 1 3
0 0 0
0 0 3
2 3 2
1 3 1
2 1 1
0 2 2
2 2 2
3 2 1
10 6
1 0 4
0 0 3
2 2 3
0 3 4
0 2 1
0 4 2
2 0 4
2 0 1
2 1 4
4 2 2
10 8
1 2 2
2 2 0
0 2 0
0 1 1
0 2 1
2 2 1
2 1 1
1 0 2
2 1 0
1 0 1
10 8
2 2 1
1 3 0
0 1 2
3 3 3
1 2 0
0 2 2
2 1 2
0 2 1
2 0 0
1 1 3
10 8
2 0 1
4 0 3
1 3 2
0 1 1
3 1 4
3 4 3
0 2 3
3 0 0
1 4 4
0 4 3
10 6
2 1 3
3 1 1
1 3 3
0 0 2
2 2 0
3 3 2
1 0 2
0 1 0
2 1 1
3 3 1
10 7
2 2 1
5 5 5
2 3 5
5 3 1
2 1 4
1 0 5
0 5 0
4 1 4
5 2 2
3 5 2
10 7
0 2 1
0 0 2
2 1 0
0 1 1
0 2 2
1 0 2
1 1 2
2 1 2
2 1 1
2 0 2
10 2
4 3 0
2 5 2
4 1 0
5 4 0
4 0 5
0 3 0
0 4 2
0 5 2
0 2 2
2 4 5
10 9
2 1 4
3 0 1
4 5 1
4 5 0
3 1 0
4 1 1
0 5 3
1 5 1
4 2 0
5 3 4
10 9
2 0 2
2 1 4
1 2 0
2 0 3
1 4 1
0 1 4
3 3 3
0 4 2
3 0 4
0 3 3
10 7
2 1 0
1 2 1
0 1 1
2 0 1
1 1 2
1 1 1
1 0 0
0 2 0
1 0 2
0 0 2
10 4
4 2 2
1 1 4
0 4 3
1 3 1
1 1 1
2 0 3
0 3 2
3 4 1
2 2 0
4 3 1
10 3
1 0 1
2 0 1
3 1 2
2 1 0
2 1 3
2 3 2
3 3 3
3 4 2
4 4 2
4 0 4
10 7
3 3 1
1 5 0
0 3 3
1 4 4
4 2 1
1 2 4
5 5 0
4 0 3
5 0 4
3 1 2
10 3
0 3 3
3 1 0
4 2 2
2 1 1
4 2 0
1 2 2
1 0 2
1 2 0
3 4 0
3 4 4
10 4
3 2 0
0 2 3
2 1 2
3 2 2
1 3 3
0 2 2
0 1 1
1 1 3
3 1 3
3 0 2
10 7
1 1 2
3 2 3
2 3 0
2 1 2
3 0 3
3 3 0
1 3 0
2 0 3
3 2 0
0 3 1
10 5
3 2 3
1 5 0
2 2 3
0 5 1
0 4 0
3 4 1
2 4 0
1 4 1
0 1 5
4 3 4
10 5
0 2 3
3 3 0
2 2 0
2 1 3
0 1 1
1 2 3
1 3 1
1 2 1
0 0 1
0 1 0
10 3
4 1 4
4 0 0
4 0 1
4 2 4
4 2 2
4 1 3
1 4 3
1 0 3
4 0 3
2 0 4
10 5
1 2 0
2 0 0
0 2 2
0 0 2
2 1 1
2 1 0
1 1 0
1 1 2
1 2 2
0 2 1
10 2
1 3 1
0 2 3
0 3 1
0 2 2
3 2 1
2 2 0
1 2 0
0 1 1
2 1 3
1 1 2
10 8
3 1 2
0 1 0
0 3 1
3 0 2
1 2 1
0 2 3
0 0 3
3 1 1
3 3 2
3 3 0
10 6
2 1 2
2 0 1
1 1 1
1 0 1
2 2 2
0 1 2
2 2 1
0 2 1
1 2 1
0 2 0
10 9
3 1 0
1 0 2
2 1 3
0 2 3
1 3 3
0 2 1
0 1 0
0 3 3
0 1 3
3 2 2
10 8
5 0 3
3 2 2
5 0 5
3 2 5
0 1 5
5 2 3
3 3 1
4 4 5
5 5 5
3 0 0
10 9
4 2 2
5 4 2
2 5 2
5 5 1
2 3 2
1 4 1
3 3 0
3 4 2
4 4 1
2 4 0
10 8
2 1 0
3 3 1
0 1 0
2 1 1
2 2 2
3 3 3
0 0 2
2 1 3
3 1 0
0 0 0
10 8
2 3 1
4 5 5
4 4 5
2 5 4
0 0 0
0 5 1
2 5 3
3 3 4
0 4 0
0 4 2
10 4
4 1 2
0 2 4
3 0 1
2 3 3
3 2 1
2 3 2
3 0 3
2 2 3
4 1 0
2 2 4
10 5
3 4 2
1 4 4
4 3 4
0 1 4
3 1 0
0 4 0
0 4 4
4 3 3
2 0 1
3 1 3
10 9
0 2 2
4 0 0
3 2 0
2 2 1
1 3 4
0 3 0
2 3 2
0 4 2
2 3 0
2 1 3
10 5
3 1 3
2 3 0
0 0 0
0 3 0
3 2 1
3 0 0
1 2 0
1 1 0
0 0 1
0 0 2
10 5
0 4 2
0 4 3
1 3 1
3 5 4
3 1 1
2 4 3
3 3 1
4 0 5
1 0 4
5 4 5
10 8
1 2 5
2 2 0
2 4 4
1 0 5
1 3 4
2 5 5
0 1 4
0 3 2
0 2 5
0 4 5
10 4
0 2 0
0 0 0
2 2 1
2 0 2
1 1 1
1 2 1
2 0 0
0 1 0
0 0 2
0 2 2
10 7
2 2 2
1 2 2
2 1 1
1 1 1
2 1 0
1 2 1
1 1 2
0 2 1
2 2 1
2 0 1
10 4
2 0 1
3 1 0
2 0 3
0 2 0
1 1 2
2 2 2
3 3 0
0 3 2
2 2 0
3 3 3
10 8
2 2 0
0 0 1
1 1 2
0 1 1
1 0 1
2 0 1
1 2 2
1 2 0
0 1 0
2 2 2
10 7
4 2 3
0 2 1
2 1 4
0 3 2
4 1 5
5 4 2
2 0 2
0 4 3
3 0 0
5 3 2
10 5
3 0 3
2 0 2
0 1 2
2 3 0
1 2 0
1 1 3
2 3 2
1 0 0
2 2 0
2 1 0
10 9
1 5 3
4 4 2
4 4 5
2 3 2
4 3 1
2 2 0
1 1 5
5 0 5
2 4 4
4 2 3
10 8
0 4 3
4 1 0
4 4 4
1 0 0
2 4 3
2 2 4
1 2 1
1 0 1
4 2 3
0 0 2
10 5
2 1 0
2 0 2
0 2 1
2 2 2
1 2 2
1 1 2
0 1 1
1 0 1
1 0 0
1 1 0
10 8
3 2 2
0 4 2
1 1 0
1 2 1
0 1 1
3 4 3
4 0 4
1 0 3
2 1 4
4 0 3
10 8
1 1 0
3 1 1
3 3 0
2 0 1
0 3 3
3 2 2
1 0 0
3 3 1
0 3 2
0 3 0
10 8
0 2 1
2 2 1
1 0 0
0 0 1
1 0 2
0 2 2
0 1 1
2 1 1
2 2 0
1 0 1
10 7
0 4 4
3 3 0
2 3 0
2 2 2
1 2 0
2 0 4
3 1 2
0 4 0
0 2 3
3 3 2
10 3
0 1 2
1 2 1
1 2 0
2 0 1
1 0 2
0 0 2
0 0 0
2 1 2
1 1 2
0 1 0
10 9
5 2 3
1 1 0
2 5 5
4 4 4
0 3 2
1 5 1
5 3 4
5 3 1
4 2 3
4 4 0
10 7
1 2 0
2 2 0
2 2 2
2 0 0
1 1 1
0 1 0
0 0 0
1 2 2
1 1 2
1 2 1
10 7
1 0 0
2 1 1
0 2 1
1 1 2
1 1 1
2 0 1
1 2 2
1 0 1
0 1 0
0 1 2
10 2
4 0 4
2 5 2
5 5 2
3 4 2
1 0 2
5 4 1
4 4 0
5 0 3
5 4 4
1 0 0
10 3
0 2 2
2 1 2
0 1 2
1 2 2
1 0 0
2 0 2
1 1 2
1 1 0
2 0 1
0 0 1
10 4
2 5 0
0 3 4
1 1 5
4 0 0
3 5 4
3 2 5
1 5 4
5 0 3
0 5 4
1 3 4
10 5
2 0 3
2 3 3
1 0 2
1 1 0
1 1 2
0 3 1
3 3 0
3 0 1
3 1 3
0 2 2
10 4
2 2 2
1 1 2
0 3 3
2 1 1
1 1 1
1 3 3
1 2 2
0 3 0
3 1 1
3 0 2
10 7
2 2 2
2 1 0
0 1 2
2 0 1
2 1 2
1 2 1
1 0 1
0 1 1
0 0 2
2 0 0
10 7
0 3 2
1 2 0
3 2 1
3 0 1
3 5 4
2 5 4
3 1 4
0 5 0
0 4 3
5 4 0
10 8
2 0 0
0 0 0
0 1 2
0 2 2
0 2 1
2 2 2
0 1 0
1 2 2
2 1 1
1 1 2
10 5
2 2 0
1 0 0
2 0 2
1 0 2
2 1 0
2 2 1
1 2 0
2 1 1
0 1 0
2 0 1
10 8
0 2 1
1 2 1
0 0 0
1 1 0
0 0 1
0 0 2
2 0 2
2 2 0
2 0 1
1 0 1
10 8
2 0 3
3 3 0
3 1 2
1 1 0
3 2 2
1 0 0
0 0 1
3 0 2
3 2 3
3 2 0
10 7
0 1 1
3 4 2
0 4 3
3 0 3
0 4 4
2 1 1
0 2 2
3 2 0
0 3 3
4 3 1
10 4
3 0 0
4 1 4
4 0 4
4 1 1
3 0 4
1 4 0
4 0 1
3 1 3
3 0 1
4 0 3
10 7
1 3 0
2 2 0
2 3 0
3 1 2
1 2 0
1 1 2
3 3 2
1 1 3
1 3 2
2 1 1
10 8
1 1 3
0 1 3
0 3 1
3 1 0
3 0 2
1 0 2
1 1 2
3 2 1
1 2 1
1 1 1
10 7
3 3 2
1 3 1
4 4 2
2 0 1
5 0 5
3 4 3
1 2 1
4 0 4
1 2 0
0 4 2
10 6
2 1 1
0 2 2
2 1 2
1 2 3
0 1 2
0 3 2
1 0 0
1 3 1
1 1 1
0 3 3
10 8
4 4 1
4 3 1
2 4 4
1 2 2
3 0 0
4 3 0
1 3 1
2 1 1
2 2 2
4 1 4
10 5
0 0 3
0 3 4
1 3 3
0 1 3
2 3 0
2 4 0
1 1 4
4 2 2
4 0 2
4 4 2
10 6
0 0 3
3 1 3
5 3 0
4 2 5
0 5 0
1 3 5
5 5 0
4 2 3
1 5 1
0 4 3
10 5
2 3 1
3 1 1
0 2 0
3 3 2
0 0 3
2 1 0
3 2 0
2 1 3
1 3 0
1 2 3
10 3
0 2 1
0 0 1
0 0 2
1 1 0
2 1 2
0 2 0
2 2 1
1 0 0
2 2 0
1 0 1
10 7
2 3 2
0 0 0
4 0 0
1 3 2
2 1 3
3 2 1
4 4 4
4 3 2
2 1 2
1 0 2
10 8
1 2 0
2 0 1
2 2 2
0 1 1
1 2 2
2 2 1
0 2 0
2 1 2
2 1 0
0 1 0
10 4
2 2 0
3 3 2
3 2 2
1 0 3
3 1 1
2 3 2
2 0 3
2 3 0
2 3 1
0 3 2
10 9
1 3 0
3 2 1
3 0 2
2 1 1
3 1 1
1 2 0
2 2 0
0 0 3
1 2 2
1 3 2
10 4
2 0 3
2 1 3
3 3 1
2 4 4
4 0 0
1 0 0
4 2 1
3 0 0
4 2 2
4 1 3
10 9
1 2 2
0 0 2
0 2 0
0 0 1
0 1 2
2 1 2
1 2 0
2 1 0
1 2 1
1 0 0
10 7
0 0 1
0 1 2
1 1 2
1 2 1
2 2 0
2 2 2
0 0 0
0 1 0
1 1 1
2 1 1
10 4
1 4 3
0 1 1
1 3 1
3 4 4
2 1 0
4 0 1
4 0 0
4 4 3
3 3 0
4 4 0
10 5
1 1 1
4 0 4
3 0 3
0 2 2
0 1 4
1 2 5
5 4 1
4 4 1
2 1 5
3 5 5
10 4
3 1 1
4 3 3
3 1 4
2 3 1
4 1 3
1 0 1
0 1 2
3 0 4
4 2 4
1 2 1
10 4
2 0 2
1 1 2
0 0 1
1 1 0
2 0 0
0 1 2
2 2 2
2 2 0
0 1 1
0 0 2
10 6
1 0 3
0 3 0
0 0 3
3 0 2
1 3 1
0 2 3
0 3 2
1 3 0
1 2 1
3 3 2
10 3
3 2 3
0 1 0
1 1 1
2 0 2
4 2 2
4 1 4
2 2 3
1 4 4
2 2 1
4 1 2
10 2
4 5 0
3 4 4
2 3 4
4 2 5
1 0 2
1 1 3
0 3 1
4 5 2
3 5 2
2 1 3
10 5
3 0 3
2 3 0
4 1 2
4 2 2
4 4 1
3 1 4
4 4 3
3 2 1
1 0 4
0 1 1
10 2
0 0 2
4 2 0
4 0 1
4 3 1
2 3 4
3 2 2
1 2 4
3 0 0
1 4 2
3 3 3
10 5
0 3 1
1 3 1
5 0 3
1 2 0
3 4 0
2 0 4
3 0 2
4 2 2
2 5 4
2 2 1
10 4
1 5 0
3 3 5
3 2 2
4 5 3
5 0 5
3 4 0
2 4 3
2 3 2
5 4 1
3 5 3
10 6
3 0 1
2 3 2
3 0 0
0 0 3
2 1 0
3 1 2
0 3 0
0 1 2
0 1 3
0 2 0
10 2
2 1 2
3 3 1
4 3 2
2 4 3
1 3 1
1 3 3
1 4 3
3 1 2
2 1 0
0 2 4
10 2
1 3 2
4 2 1
1 2 3
4 0 0
2 0 0
2 3 4
1 2 1
1 1 4
0 2 0
4 4 1
10 4
3 0 2
3 1 0
2 1 3
3 2 2
1 3 3
2 0 3
0 1 1
2 3 3
1 0 2
2 0 1
10 5
4 1 1
4 4 3
1 2 2
3 1 1
0 2 3
2 3 4
2 3 3
0 3 4
1 0 3
1 2 0
10 4
4 3 3
1 4 1
4 0 0
1 2 3
1 4 2
2 1 0
2 5 1
2 5 2
5 4 0
5 2 4
10 4
4 4 1
5 4 1
5 0 1
1 1 5
0 3 3
2 3 2
3 4 2
5 1 3
2 2 5
5 3 2
10 8
0 1 3
2 3 1
2 3 2
1 1 2
0 1 2
0 2 1
1 0 1
1 2 2
2 2 3
2 2 1
10 3
3 1 5
2 4 2
2 2 1
4 5 5
0 2 0
3 4 1
0 3 1
2 1 0
0 4 2
5 2 0
10 7
3 1 3
2 2 4
3 0 1
0 1 3
0 3 1
0 4 2
2 3 0
3 1 4
4 4 2
2 1 1
10 8
2 3 0
2 2 5
5 3 2
3 5 3
0 0 2
1 1 4
4 2 3
5 1 4
1 5 4
1 4 1
10 3
2 0 1
0 2 1
1 1 1
0 2 0
2 0 0
0 0 2
1 2 0
0 1 1
2 1 1
0 2 2
10 3
0 0 5
1 3 4
2 1 0
0 0 3
1 4 1
4 0 3
3 3 0
5 1 1
2 2 5
5 3 2
10 9
2 2 1
0 2 2
0 2 1
2 0 1
1 2 0
1 0 0
0 2 0
0 0 1
2 2 0
1 2 1
10 3
0 1 0
1 1 2
0 2 2
1 0 1
1 2 0
2 2 2
2 0 2
0 1 2
0 2 1
0 2 0
10 7
1 1 1
4 5 0
0 3 1
3 5 5
5 0 1
1 3 2
1 2 3
5 4 1
5 5 3
3 3 4
10 9
5 5 4
2 0 3
1 2 1
1 5 3
5 1 2
5 3 4
5 0 3
1 2 3
3 1 2
4 5 4
10 2
2 2 0
1 2 1
1 1 0
2 2 1
1 2 0
2 1 0
2 1 2
0 0 0
1 0 0
0 2 2
10 9
1 3 2
0 3 2
2 2 3
3 2 0
3 0 2
1 0 1
0 2 1
1 0 0
2 2 0
0 1 2
10 5
1 3 2
0 3 3
3 2 1
2 1 2
0 3 1
1 0 2
2 1 0
3 0 0
3 0 2
2 1 1
10 7
1 0 0
2 1 0
2 0 3
1 1 3
3 3 1
3 2 2
3 2 1
0 1 3
1 0 2
2 2 0
10 5
5 5 4
3 0 3
5 3 0
2 0 3
2 3 4
3 4 4
2 4 0
5 4 5
0 3 2
4 5 4
10 9
0 1 0
2 1 1
2 2 2
0 2 2
0 0 1
1 2 2
0 2 0
0 0 0
2 1 2
0 0 2
10 5
0 5 2
1 0 2
5 1 5
0 1 4
1 4 2
2 1 1
5 1 3
2 4 5
0 4 3
1 4 3
10 9
1 2 3
2 3 4
4 2 2
1 3 3
2 4 0
2 2 0
3 1 2
2 0 3
2 1 1
1 2 2
10 5
3 3 1
1 2 0
0 1 0
3 1 0
1 3 1
0 0 2
0 2 3
0 2 2
1 2 3
0 2 1
10 9
3 1 2
4 1 3
3 4 4
3 2 2
2 4 0
2 0 3
4 0 3
4 0 0
4 4 2
2 4 4
10 7
0 1 2
1 0 2
1 2 1
1 0 1
2 1 1
2 1 0
2 0 0
0 2 2
1 0 0
0 2 0
10 4
2 1 2
1 1 2
4 0 2
1 3 2
3 3 4
4 3 0
1 4 0
3 2 3
3 4 0
2 1 1
10 8
1 0 1
0 1 0
1 0 2
3 0 3
3 1 2
1 0 3
2 1 3
3 1 0
3 3 1
3 0 2
10 4
1 2 0
1 2 2
1 1 0
4 1 3
3 4 3
2 2 1
2 2 2
1 4 1
0 2 4
2 1 2
10 3
3 0 3
3 0 2
3 4 0
2 4 0
0 2 4
4 1 2
4 0 1
4 2 4
0 4 0
0 0 3
10 6
3 2 1
2 3 3
0 1 2
2 3 0
0 3 2
0 2 3
1 3 1
3 3 2
2 0 3
2 2 3
10 9
1 0 4
4 2 1
4 0 1
0 0 1
1 0 2
1 3 2
3 1 4
4 1 1
4 1 2
1 1 3
10 8
1 2 1
3 2 0
3 4 4
1 1 3
1 0 1
3 2 4
4 1 1
1 4 4
1 4 0
1 1 1
10 3
0 3 3
1 3 0
2 0 3
3 3 3
3 3 2
3 3 1
1 2 0
1 2 1
3 1 0
3 3 0
10 5
2 0 2
2 2 1
4 0 2
2 4 4
3 4 0
2 3 3
4 1 0
4 0 0
3 3 2
3 1 4
10 5
3 1 1
2 3 1
1 0 0
3 2 3
1 2 1
3 2 2
1 3 3
1 0 1
2 0 3
0 0 3
10 2
1 2 0
4 3 3
4 2 2
0 4 4
3 0 3
1 2 4
0 3 2
1 4 2
4 1 1
4 2 0
10 9
3 4 4
1 0 4
2 4 0
0 2 4
1 1 1
3 1 4
0 2 0
1 1 3
3 2 4
1 2 4
10 4
0 1 0
1 3 2
3 3 0
1 0 3
0 3 0
2 0 1
3 0 0
3 1 3
3 3 2
3 1 1
10 8
3 4 1
5 1 5
2 4 4
2 3 0
3 5 4
0 4 5
4 4 0
3 0 5
0 2 3
4 2 3
10 9
0 3 3
4 1 1
1 2 2
4 3 4
0 4 0
1 1 3
1 2 0
1 4 2
3 4 0
1 1 4
10 6
0 2 2
0 3 0
3 1 0
3 1 2
2 0 0
3 0 3
2 1 0
3 1 1
3 3 2
1 2 3
10 9
5 1 0
4 1 1
1 3 4
3 4 5
3 1 5
1 5 3
1 4 2
0 2 0
4 2 0
3 0 5
10 4
2 1 0
0 1 1
0 1 0
2 2 1
2 2 2
1 2 2
0 1 2
2 0 0
2 0 1
1 1 0
10 5
1 2 1
0 2 0
0 0 0
1 0 0
0 0 2
2 2 2
0 1 0
1 2 0
2 1 0
0 0 1
10 6
3 3 2
0 4 1
3 1 2
4 3 1
0 4 2
1 3 3
0 0 3
4 3 2
0 2 1
2 0 3
10 4
4 2 2
1 3 1
1 1 3
2 4 1
2 2 4
3 2 3
0 2 0
3 0 4
3 1 3
1 3 3
10 8
2 1 2
0 3 1
5 2 2
0 4 4
0 5 4
2 3 0
0 2 0
4 3 4
4 3 5
4 3 3
10 6
0 2 0
2 4 2
0 1 3
3 0 1
2 0 3
0 3 2
2 1 0
3 2 0
0 4 0
4 4 3
10 5
1 2 4
2 4 0
4 1 2
3 2 2
3 4 2
1 4 4
3 2 0
2 2 2
0 2 4
1 3 1
10 6
1 1 2
0 1 1
1 0 0
2 0 1
1 1 0
2 1 2
0 2 1
2 1 1
1 0 1
0 1 2
10 7
1 0 0
1 2 1
2 0 1
0 2 2
2 0 0
0 0 0
2 0 2
2 2 0
0 0 1
0 2 1
10 3
0 2 1
3 4 4
1 0 0
1 4 3
3 1 0
4 1 3
3 0 1
2 3 0
2 1 3
2 4 3
10 9
1 2 1
0 0 3
0 0 1
3 2 3
1 0 0
3 0 1
1 3 1
1 0 3
1 3 2
3 1 2
10 2
2 1 1
1 1 1
2 1 2
0 2 0
0 1 0
0 0 1
0 2 1
0 1 2
2 1 0
2 2 0
10 8
5 0 5
1 2 5
4 2 1
5 5 2
3 1 5
4 3 2
0 1 1
3 1 3
5 4 1
0 0 3
10 8
1 4 0
4 1 5
5 0 2
2 1 3
4 3 4
3 4 0
4 5 3
3 2 1
1 4 1
2 4 3
10 2
0 2 0
0 1 3
0 2 1
3 4 4
3 0 0
3 3 1
2 4 0
4 0 1
2 0 0
3 4 2
10 8
1 3 1
2 4 1
1 0 3
3 5 1
3 4 1
4 3 1
1 2 1
2 0 2
0 4 5
0 0 4
10 8
4 5 5
4 0 5
0 5 0
2 0 4
4 0 2
1 0 2
0 4 0
4 5 4
2 2 5
5 0 1
10 6
2 1 2
3 1 3
0 2 4
3 0 4
4 0 1
4 2 1
2 4 1
2 2 2
0 3 4
1 0 2
10 2
1 2 2
0 1 1
1 3 0
1 1 1
3 3 2
2 3 0
2 0 3
1 2 3
0 2 1
2 3 3
10 3
2 3 2
1 0 3
1 3 2
2 1 3
1 3 3
2 2 3
1 2 2
2 0 1
0 3 1
0 0 2
10 3
0 0 1
4 1 0
2 1 1
2 3 0
2 0 2
0 3 4
2 2 2
1 0 2
4 0 3
4 1 2
10 4
3 2 3
1 2 4
2 4 0
1 3 1
3 2 0
3 3 2
1 2 0
0 3 1
0 0 4
4 2 2
10 3
0 0 1
0 4 2
3 4 0
2 2 2
4 1 3
1 1 3
4 0 2
0 4 4
3 2 0
3 2 3
10 3
1 1 2
0 0 0
0 1 1
1 0 2
2 2 0
1 1 0
1 2 2
1 0 0
1 2 0
1 0 1
10 6
3 4 5
4 5 1
0 2 3
1 1 4
0 5 4
5 1 0
2 3 4
3 5 3
3 2 5
1 4 1
10 7
1 2 2
1 1 2
0 1 0
1 0 0
2 2 1
2 0 0
2 0 1
0 1 1
1 1 0
2 1 2
10 8
2 2 0
0 3 3
1 3 0
2 0 1
2 1 2
3 1 1
3 0 0
3 1 3
0 2 2
0 3 2
10 4
1 3 2
1 2 1
2 1 3
3 3 0
2 2 0
3 0 2
1 3 3
2 2 2
3 2 1
2 3 3
10 8
0 1 4
1 1 0
3 1 3
3 4 1
3 1 1
0 1 0
2 1 2
4 2 2
3 0 0
3 4 0
10 3
4 0 4
4 3 1
1 1 4
2 2 1
3 2 2
1 4 1
3 2 4
4 1 1
0 0 3
1 0 1
10 2
2 1 2
0 0 2
2 0 1
2 1 0
1 2 0
0 0 0
0 1 2
0 2 0
0 0 1
1 1 2
10 3
3 3 2
1 0 2
1 3 1
2 3 3
0 3 0
0 0 1
2 3 2
2 0 2
3 2 0
2 0 1
10 3
4 1 3
1 2 0
3 3 5
4 0 0
0 3 5
0 0 5
2 3 2
2 1 4
1 4 1
0 1 1
10 2
0 0 0
0 2 2
1 0 1
1 0 0
2 2 2
1 2 1
2 1 0
1 1 1
2 0 0
2 0 2
10 5
1 1 0
0 0 0
2 0 0
0 2 2
0 2 0
1 2 0
1 2 2
2 1 0
1 0 2
1 1 2
10 4
1 1 0
0 1 2
0 1 0
2 0 2
2 1 1
1 1 1
0 0 1
2 1 0
2 2 1
0 0 0
10 8
0 5 4
5 5 3
2 3 3
1 2 3
5 0 5
3 5 0
1 0 4
5 2 5
5 2 0
3 0 1
10 6
3 0 1
2 0 2
0 1 2
1 1 1
3 0 3
1 3 1
3 1 1
1 2 0
2 3 1
2 1 1
10 3
2 0 4
1 4 3
2 1 2
4 2 1
1 2 0
2 1 0
4 2 2
1 3 2
1 0 4
2 1 1
10 8
3 0 3
0 2 0
3 4 4
3 4 2
1 1 3
4 3 1
1 4 0
2 2 1
1 0 3
3 0 2
10 7
2 2 2
0 0 2
2 2 1
1 1 3
2 0 1
1 1 1
2 2 3
3 2 1
3 0 2
0 2 3
10 7
1 0 2
2 1 1
2 2 2
0 0 2
2 2 0
1 1 0
1 2 0
0 2 0
2 1 2
2 0 2
10 4
1 0 5
4 4 4
3 1 3
0 3 5
1 1 5
2 1 2
2 1 4
0 4 2
5 5 0
0 3 3
10 3
5 4 4
4 1 0
0 5 2
0 4 3
2 0 0
1 2 0
0 3 3
4 5 0
2 5 5
3 3 3
10 7
1 0 1
0 1 1
0 2 0
2 0 2
2 0 1
1 0 2
1 1 2
2 1 1
2 2 0
0 1 2
10 5
2 2 3
5 4 1
0 3 3
1 1 3
1 2 1
2 5 3
0 1 4
4 3 1
5 5 0
2 3 5
10 2
3 0 3
3 3 2
0 2 1
1 0 2
0 2 0
3 0 2
2 3 3
0 3 3
2 0 3
0 0 3
10 7
0 3 0
2 1 3
0 0 1
3 1 1
3 0 0
0 1 1
4 1 0
1 2 1
1 1 1
0 0 4
10 7
0 2 1
4 4 3
2 0 4
0 2 4
0 3 2
1 1 2
0 0 1
1 1 0
3 1 3
3 0 4
10 8
1 2 2
1 2 0
1 3 1
0 0 1
1 0 2
3 1 2
3 1 3
2 3 3
3 0 0
3 3 0
10 5
0 2 4
4 4 5
2 4 3
0 1 3
4 1 1
1 0 4
3 3 2
3 2 4
2 1 0
2 2 3
10 4
1 0 1
2 1 0
0 1 2
0 0 2
1 0 2
1 2 0
1 1 2
0 2 0
2 2 0
1 2 2
10 8
0 0 2
2 0 0
0 0 0
1 2 2
1 0 2
2 1 1
2 0 2
2 2 2
1 0 1
1 1 1
10 9
3 2 1
2 2 3
1 5 5
3 5 0
2 3 3
3 3 2
5 0 1
0 1 2
5 0 4
4 2 4
10 3
2 1 2
3 2 2
2 2 2
1 1 0
0 1 3
1 2 1
2 1 3
1 1 3
0 2 1
1 0 1
10 5
2 1 2
0 0 2
0 2 0
0 0 1
2 0 1
1 1 2
1 0 2
2 1 1
0 1 0
2 2 2
10 8
2 1 2
1 2 2
1 2 1
2 0 1
0 1 0
0 2 2
0 2 1
1 0 1
1 1 2
2 0 2
10 6
4 0 4
4 1 4
0 1 0
3 0 4
3 0 0
4 0 2
3 4 2
0 4 4
1 3 3
1 2 3
10 6
4 1 1
0 0 1
4 2 1
3 1 2
0 3 0
3 2 4
4 0 1
3 1 1
1 3 3
2 4 2
10 2
1 1 0
2 1 2
0 1 0
0 2 1
2 2 1
2 2 0
0 1 2
2 0 0
1 1 2
2 1 1
10 7
3 0 2
2 2 3
4 1 2
1 4 3
1 1 2
2 0 0
2 2 1
1 0 4
2 1 4
4 0 4
10 8
5 1 3
3 3 3
4 4 3
1 3 2
2 3 1
0 5 1
5 3 1
4 3 1
0 0 1
4 5 1
10 4
0 3 1
3 3 3
2 1 2
1 2 3
0 3 3
0 3 0
0 2 0
3 0 3
0 1 1
3 1 2
10 5
0 3 0
2 1 0
3 3 1
3 0 2
1 3 0
1 0 2
3 2 2
0 1 2
0 0 3
1 0 3
10 6
3 0 1
4 2 0
3 1 4
1 4 2
1 3 1
3 2 1
0 4 3
0 2 2
3 4 0
0 0 3
10 5
0 1 0
0 2 2
2 0 1
2 2 2
2 1 1
2 2 0
1 1 2
0 2 1
2 2 1
1 2 1
10 7
5 0 1
4 1 5
2 4 5
2 4 4
4 3 0
4 4 3
0 2 5
2 5 4
3 0 2
4 0 4
10 3
4 5 5
1 5 5
0 4 4
4 2 5
0 5 5
3 4 4
1 5 2
1 0 0
1 1 2
3 3 5
10 2
3 3 4
4 4 4
4 1 4
4 0 4
3 1 4
0 4 0
4 2 2
0 1 2
4 3 0
1 1 3
10 5
5 1 2
4 5 2
0 5 2
2 1 0
0 1 2
5 0 4
2 3 0
1 4 4
3 2 4
1 3 5
10 2
0 1 0
2 0 2
0 2 1
0 2 2
1 2 0
1 2 1
0 0 2
1 1 1
0 0 0
1 0 2
10 5
1 1 3
1 3 1
1 1 0
2 0 2
1 0 3
2 2 1
0 0 3
0 3 3
0 1 0
0 2 0
10 5
3 1 0
2 3 1
3 2 3
1 0 2
3 2 2
3 0 0
0 3 3
0 0 2
2 1 3
3 2 0
10 2
0 0 1
1 0 2
3 2 1
0 1 1
2 3 1
0 1 3
3 1 3
3 1 2
1 3 3
0 0 0
10 4
2 3 2
1 0 1
1 2 1
3 2 3
0 1 0
0 3 1
0 0 1
0 0 0
2 3 3
1 2 3
10 5
0 0 0
2 1 1
2 0 1
2 1 2
1 1 1
0 2 0
0 2 2
2 2 2
1 0 0
1 0 1
10 7
2 0 1
5 2 2
1 4 5
2 2 4
3 0 5
2 2 0
1 2 4
3 1 0
4 4 0
0 2 0
10 5
4 5 5
2 1 4
4 0 1
4 2 0
5 4 5
5 4 1
3 4 0
5 2 1
0 0 5
5 0 5
10 7
3 2 3
0 3 3
3 1 2
0 1 3
2 0 2
0 0 0
2 1 1
0 1 2
2 2 1
1 1 1
10 3
2 1 1
2 2 1
2 0 3
0 0 3
0 3 0
2 3 3
0 1 1
1 2 2
1 3 3
3 2 2
10 6
3 0 2
5 5 3
4 4 5
3 5 4
3 2 3
4 1 3
0 3 0
0 5 3
2 5 2
5 4 5
10 4
3 5 2
4 2 0
3 1 0
4 3 5
1 0 0
3 4 5
4 5 4
3 5 3
3 3 1
2 0 1
10 3
1 1 5
2 2 5
3 2 4
0 3 4
5 2 5
4 0 4
2 2 2
1 2 1
3 4 2
1 4 4
10 5
2 2 0
0 1 2
0 2 0
2 0 2
0 2 1
1 2 0
2 0 1
1 0 2
2 0 0
1 2 1
10 7
2 2 1
1 5 2
2 4 4
5 4 5
0 3 0
4 1 4
4 4 1
2 1 0
2 0 1
5 1 4
10 7
3 0 1
3 3 0
3 4 1
3 2 3
1 4 3
0 3 4
0 1 4
1 1 0
3 3 3
1 0 2
10 2
3 0 3
0 1 1
3 0 0
0 1 0
1 1 1
1 1 0
3 2 2
1 3 0
1 2 3
2 1 1
10 6
0 2 3
1 2 1
2 2 1
3 2 3
1 0 3
1 3 3
0 3 0
3 3 2
1 1 0
2 1 1
10 2
2 0 0
0 1 1
0 0 0
1 0 1
2 0 1
1 1 2
1 1 1
1 2 1
2 2 0
0 1 0
10 7
3 1 4
4 1 3
1 1 3
0 4 3
3 0 4
3 3 2
2 1 3
0 2 3
0 2 2
2 3 0
10 4
3 1 0
2 1 4
4 4 4
0 3 0
3 2 4
2 3 4
4 0 2
4 1 3
0 0 2
4 1 4
10 6
3 3 1
1 1 3
2 3 2
0 2 1
2 0 1
1 0 1
1 2 2
1 0 0
1 0 3
3 2 1
10 6
2 0 1
3 3 3
1 0 2
3 1 0
2 0 2
1 1 1
2 2 0
1 2 3
1 2 0
0 2 1
10 7
2 3 4
4 1 0
2 0 4
3 0 3
3 1 1
3 1 0
3 1 3
0 0 1
0 0 3
1 3 0
10 4
2 3 0
0 0 0
1 0 2
1 2 1
2 1 2
1 1 1
3 1 3
2 1 3
2 0 2
0 3 1
10 9
2 2 2
2 0 2
1 4 4
3 4 0
2 2 1
2 0 1
3 0 0
0 4 1
1 0 3
4 2 0
10 6
1 0 1
1 1 3
3 3 2
2 2 1
0 3 0
0 3 3
1 2 0
0 2 0
2 1 3
2 2 2
10 7
0 3 0
4 3 4
4 2 2
0 1 2
3 3 2
3 4 2
2 0 0
1 3 4
3 4 0
3 2 4
10 8
2 2 2
2 0 1
1 0 0
0 2 0
1 2 0
1 2 2
2 0 2
2 1 2
1 1 2
0 0 2
10 3
3 2 3
2 0 0
3 1 0
1 0 2
0 2 0
0 0 3
0 0 1
3 1 3
0 3 0
1 0 1
10 3
2 2 0
0 2 1
2 3 0
3 0 3
3 0 0
1 0 1
2 0 2
2 2 3
0 1 3
3 1 1
10 3
2 3 2
1 4 0
3 3 1
3 5 4
3 0 0
1 4 4
5 5 2
3 2 1
2 4 2
2 0 0
10 2
0 4 1
1 1 3
2 3 0
0 1 0
2 0 4
0 4 2
4 1 4
2 4 0
1 3 4
2 3 1
10 6
2 3 2
3 2 2
2 3 3
3 3 0
3 2 0
0 1 3
3 1 1
2 0 1
0 1 2
0 2 3
10 3
5 4 1
1 4 3
5 4 4
1 3 4
3 2 0
2 4 1
3 4 4
0 1 0
2 4 2
3 1 1
10 3
3 0 3
1 0 3
3 0 2
1 2 3
2 0 3
0 2 0
0 3 2
2 0 2
3 1 3
1 0 1
10 7
2 2 0
2 0 0
1 2 1
0 1 1
1 0 1
0 2 1
2 1 2
0 0 0
0 0 2
1 0 2
10 6
4 3 1
4 0 2
1 2 1
0 4 0
1 4 0
1 0 4
4 4 3
3 1 1
3 4 2
4 1 4
10 3
3 3 3
0 0 0
1 0 0
3 0 3
1 0 3
2 0 3
0 1 0
1 2 0
2 3 3
0 3 0
10 8
3 1 2
2 2 3
0 0 2
1 1 0
0 3 0
2 2 1
2 1 2
3 0 3
0 3 2
3 3 1
10 5
1 5 5
4 3 2
4 2 5
3 1 2
3 3 4
2 3 1
0 3 4
1 5 2
5 4 4
0 4 3
10 6
5 2 1
2 2 2
0 3 4
5 1 5
4 0 5
1 1 0
2 3 1
1 5 5
2 1 2
3 2 0
10 4
2 2 2
1 2 0
1 0 2
1 1 3
3 2 1
0 1 1
1 0 1
0 3 0
0 0 2
3 3 3
10 9
5 5 0
4 2 0
5 5 2
2 1 1
0 3 0
1 4 3
1 1 0
4 2 5
1 1 2
1 4 2
10 6
2 3 1
1 2 1
3 1 2
2 2 0
3 0 0
0 3 2
0 2 3
2 1 1
2 1 2
2 2 2
10 5
3 3 1
0 3 1
0 2 2
3 2 0
3 0 0
3 1 2
2 1 0
1 0 1
3 1 3
3 3 3
10 3
0 2 2
0 1 2
1 1 2
0 2 0
2 2 0
3 3 1
2 3 0
1 2 0
2 0 1
3 1 1
10 8
0 4 0
2 0 1
2 2 1
1 0 1
2 2 3
4 3 1
3 4 1
4 0 1
2 0 4
2 1 0
10 4
1 2 0
0 1 0
1 3 1
1 0 0
0 2 2
2 2 3
3 2 3
1 1 2
3 2 0
2 2 1
10 6
1 0 0
3 2 0
1 1 1
3 2 3
1 1 0
1 0 2
1 3 3
3 0 1
2 1 3
3 3 3
10 7
0 1 0
2 0 1
2 1 1
1 2 1
1 0 1
2 1 2
0 2 1
1 1 0
1 2 0
2 2 0
10 4
2 0 0
0 0 0
1 1 2
1 2 0
2 0 2
0 1 1
1 0 0
1 2 1
2 1 0
1 2 2
10 2
0 3 1
0 2 3
1 3 0
1 0 1
1 2 0
3 2 0
2 2 0
3 0 0
1 2 3
3 3 2
10 2
3 1 2
3 0 3
3 3 1
1 4 4
2 2 1
3 2 1
3 1 0
4 2 3
0 3 2
0 4 2
10 4
0 3 2
3 0 3
2 0 0
0 3 0
1 3 0
3 2 1
0 1 0
1 0 2
2 1 0
1 1 1
10 8
2 0 0
0 1 1
0 1 2
1 1 1
1 1 0
2 2 2
1 0 2
2 2 1
0 1 0
1 1 2
10 6
0 1 4
4 3 3
3 2 1
3 2 4
4 2 4
0 3 2
0 2 3
4 5 3
5 2 2
0 4 5
10 5
4 2 1
0 0 2
3 0 0
2 1 3
3 3 3
4 3 1
3 2 2
1 3 0
4 1 2
3 1 2
10 9
3 0 3
0 0 2
1 0 3
0 1 3
2 1 1
2 1 3
1 3 1
3 3 0
2 2 0
3 0 2
10 4
3 3 4
2 0 2
2 4 1
4 3 2
1 1 1
2 2 0
0 3 4
0 4 2
0 2 1
1 4 1
10 9
5 5 3
2 4 3
1 3 0
1 0 1
0 5 3
3 2 2
0 1 1
3 2 0
1 3 1
3 2 1
10 7
1 2 0
0 0 2
1 0 1
2 1 1
1 0 0
1 1 2
2 0 2
2 1 2
1 1 1
2 2 0
10 8
1 0 1
0 0 2
0 0 1
0 2 2
0 2 1
2 0 2
2 2 0
1 1 2
1 2 0
2 0 1
10 2
2 3 4
0 1 2
4 4 4
2 2 5
5 4 2
3 1 3
0 0 3
2 4 4
1 1 0
0 2 2
10 7
2 0 1
4 1 1
3 2 0
4 1 2
0 1 0
3 4 3
0 3 0
2 0 3
0 3 1
0 2 2
10 9
2 1 0
0 1 0
0 0 0
1 0 0
0 1 1
2 2 1
1 1 0
1 0 2
0 0 2
0 1 2
10 3
3 0 1
1 2 4
4 4 2
0 2 1
2 4 2
4 0 2
2 0 4
1 3 3
4 4 4
2 2 0
10 5
2 1 0
3 1 0
3 4 0
4 4 3
3 1 4
2 4 0
3 2 3
3 3 1
0 1 0
4 1 4
10 5
1 2 0
4 1 4
1 0 3
4 4 2
3 1 4
3 2 5
0 1 2
5 5 0
4 3 4
3 0 5
10 4
1 1 1
0 1 0
1 0 2
0 1 2
2 1 2
2 2 2
2 1 1
1 1 0
1 1 2
2 0 0
10 3
2 0 2
2 1 2
1 0 0
1 1 2
2 2 0
1 0 2
1 2 2
1 1 1
0 2 1
1 2 0
10 2
2 1 1
1 0 3
0 1 1
2 3 2
1 3 1
3 0 0
2 2 1
3 0 1
2 3 0
3 2 3
10 7
2 0 3
0 1 1
3 1 3
0 1 0
3 0 1
2 0 0
2 2 2
1 3 2
1 0 1
0 2 3
10 5
3 5 4
5 2 2
3 5 0
5 2 4
2 3 0
2 0 1
5 3 4
2 2 2
2 2 3
5 5 5
10 8
1 0 1
2 0 3
3 0 1
3 4 2
2 4 1
1 0 3
1 2 4
1 2 0
4 2 4
0 0 3
10 2
2 1 0
0 2 2
0 2 1
0 1 2
2 2 2
2 2 1
2 0 2
0 2 0
2 2 0
2 1 1
10 6
2 0 2
2 1 2
4 2 5
0 0 4
1 3 5
1 0 3
1 1 0
2 5 5
3 5 5
3 0 5
10 7
2 0 2
2 3 1
0 1 3
0 3 1
2 1 4
4 1 0
3 4 2
2 4 0
1 3 4
2 3 0
10 6
2 2 1
2 0 0
2 0 1
1 3 1
3 2 2
1 3 3
1 2 2
1 0 1
2 3 2
3 3 2
10 9
1 2 2
2 0 0
0 1 1
1 1 0
2 2 2
1 1 2
1 2 0
2 2 0
1 1 1
0 2 0
10 9
4 1 1
3 1 1
3 3 1
1 0 2
4 0 4
0 2 2
1 1 2
1 0 3
1 0 0
1 3 1
10 3
2 0 2
0 0 0
2 1 1
2 1 3
3 2 3
0 2 3
0 1 3
3 3 1
1 4 3
3 4 3
10 2
3 1 2
3 0 2
2 3 3
3 3 1
0 1 0
0 2 3
1 2 2
2 0 0
2 1 1
1 2 0
10 3
0 0 0
0 2 4
1 4 2
1 2 4
4 4 3
3 2 2
4 3 2
4 3 3
2 3 3
4 0 1
10 7
4 4 4
0 2 3
1 2 4
1 2 2
1 0 3
1 1 4
4 4 1
4 0 4
1 2 0
2 2 1
10 7
2 2 3
2 5 3
1 3 1
2 5 0
2 0 3
5 2 3
1 2 2
0 4 0
1 4 3
5 5 1
10 9
2 4 0
2 2 3
1 4 0
1 3 4
4 4 4
4 4 2
3 2 0
3 3 0
3 0 4
4 3 0
10 8
0 0 2
0 2 0
1 2 2
2 1 1
1 1 1
0 0 0
0 1 0
2 0 2
1 2 0
2 1 0
10 5
1 2 1
2 2 2
2 2 0
0 0 1
2 1 1
1 1 1
1 0 2
0 0 2
1 2 0
1 0 1
10 5
4 4 1
0 2 2
3 3 2
2 3 3
3 0 1
4 2 2
0 1 1
1 3 3
2 3 1
0 4 3
10 2
2 2 2
2 3 1
3 1 3
1 2 2
3 0 2
2 1 0
2 1 2
0 3 0
0 1 3
0 0 3
10 2
0 0 3
1 3 1
3 3 0
1 0 2
3 1 1
3 3 3
2 1 2
3 3 1
1 1 1
3 3 2
10 8
3 0 0
2 1 2
0 0 2
1 2 2
1 3 1
3 3 3
0 0 1
1 0 0
0 2 1
1 1 3
10 8
0 0 1
1 0 0
0 0 0
2 0 0
2 2 0
1 1 1
2 1 2
0 2 0
2 1 1
1 2 2
10 5
2 1 1
0 0 1
2 1 0
2 2 0
1 1 1
0 2 2
0 2 1
1 0 2
0 1 2
2 0 2
10 5
2 2 1
0 0 1
2 0 2
0 2 0
1 2 2
0 0 2
2 2 2
0 1 1
2 1 0
0 2 1
10 8
0 2 0
1 2 0
2 0 1
1 2 1
0 0 2
0 2 1
2 1 2
2 0 0
1 1 0
2 1 1
10 9
4 4 4
0 4 4
3 1 0
1 3 1
0 0 4
4 0 2
1 0 4
3 0 4
4 0 0
3 2 1
10 8
1 1 1
0 2 2
1 0 0
2 1 1
2 2 2
0 1 2
0 1 0
2 1 2
0 0 2
0 2 0
10 7
5 3 4
3 5 5
0 2 4
4 1 0
4 2 5
0 4 1
1 3 3
5 3 3
2 0 0
3 5 4
10 6
4 4 5
1 4 4
3 1 4
1 3 3
0 4 1
3 3 5
2 3 3
0 3 1
3 0 3
1 4 2
10 7
1 4 2
4 1 2
1 0 2
0 4 0
2 3 1
2 0 1
3 0 4
1 2 0
3 2 2
2 1 2
10 7
2 2 2
2 0 0
2 1 2
1 1 2
0 2 2
0 1 1
2 0 1
0 0 1
2 0 2
1 0 2
10 6
2 2 0
0 0 2
2 0 1
2 2 1
2 1 1
2 1 2
1 0 1
2 0 0
0 1 0
1 0 0
10 2
2 0 5
3 1 1
5 0 1
2 2 2
4 1 2
5 1 3
1 1 4
2 1 2
3 5 5
1 2 0
10 8
3 2 2
0 2 1
0 2 2
1 3 1
1 2 0
1 0 1
2 1 3
3 3 1
0 3 3
1 1 0
10 7
2 4 4
2 4 3
3 1 1
3 0 1
4 3 3
1 1 3
4 3 4
2 1 1
1 4 3
3 1 0
10 6
1 1 1
1 2 1
3 1 3
3 1 1
3 3 0
0 3 0
0 0 0
1 2 2
0 1 2
0 2 0
10 3
1 1 0
0 3 3
1 1 3
2 0 2
1 2 3
3 0 0
1 3 1
1 0 0
2 3 0
3 3 2
10 9
4 4 2
5 4 5
5 0 1
0 0 2
2 2 5
0 3 1
0 4 0
0 2 5
5 1 0
1 4 0
10 2
0 0 0
2 0 2
2 1 0
0 2 1
2 0 1
1 0 1
1 2 0
1 1 1
0 1 0
2 2 0
10 6
3 5 5
0 0 3
3 5 3
5 0 3
4 4 5
1 1 4
1 4 4
1 3 5
2 0 5
0 5 2
10 8
1 0 2
2 2 0
0 2 0
1 2 2
1 1 0
2 1 1
0 0 1
0 1 2
2 0 1
0 1 0
10 9
3 0 2
2 2 3
1 2 1
2 0 3
3 1 0
2 2 1
1 0 0
3 0 1
3 1 2
3 1 3
10 2
4 1 1
1 2 1
4 4 1
3 3 3
1 2 0
2 0 0
2 4 1
2 0 4
1 3 0
1 0 1
10 2
1 1 1
0 1 2
2 0 0
0 2 0
1 1 0
1 0 1
2 0 1
0 0 1
2 2 1
0 0 0
10 9
2 1 0
0 0 1
1 0 0
2 0 1
1 1 2
0 0 2
1 0 1
1 2 2
0 2 1
0 1 0
10 7
2 3 0
3 0 0
0 1 0
2 1 2
0 1 2
1 1 1
0 1 1
3 2 2
1 1 2
1 0 1
10 8
4 4 4
4 1 3
2 1 3
3 3 4
0 4 2
4 0 0
4 2 0
4 2 2
2 1 4
1 0 3
10 9
1 2 0
1 1 2
0 1 1
2 0 2
2 0 1
2 2 1
2 1 1
0 2 1
2 1 2
1 0 0
10 7
0 0 2
1 1 0
3 3 0
2 1 1
3 0 0
1 2 0
0 1 1
1 1 3
2 0 0
0 3 0
10 7
0 3 0
0 4 0
4 0 0
0 2 0
4 2 2
2 2 3
0 1 1
2 3 1
2 4 0
1 0 2
10 8
2 4 0
0 4 1
3 1 0
2 2 3
2 2 1
4 1 1
4 0 4
0 1 1
4 1 0
3 2 0
10 3
3 5 0
3 1 2
1 3 1
5 3 2
1 0 5
0 0 4
4 0 0
3 2 2
5 5 3
2 0 5
10 9
0 1 1
3 2 0
3 0 3
3 2 3
3 3 0
2 0 0
1 3 0
3 3 3
2 0 3
0 2 2
10 6
1 2 3
0 4 1
3 4 2
5 1 1
5 3 2
2 1 1
1 1 3
1 5 2
4 1 1
0 2 0
10 6
1 2 2
0 0 3
0 2 0
3 1 1
3 2 0
0 1 0
1 0 2
2 1 1
1 0 0
0 3 2
10 4
2 5 4
2 2 0
3 1 1
4 5 4
2 1 0
2 4 1
1 4 4
4 2 5
1 3 5
3 2 3
10 2
2 2 3
1 0 1
2 1 0
2 2 0
0 3 2
0 3 0
2 3 2
3 2 2
2 2 2
3 0 1
10 7
1 1 3
0 2 1
2 2 2
3 2 1
4 0 4
1 0 4
1 1 2
3 3 4
0 4 1
4 2 1
10 3
2 2 4
1 3 0
4 1 2
3 4 1
1 4 1
2 2 0
0 0 0
4 0 2
0 2 4
3 3 0
10 4
5 4 4
4 0 0
5 4 2
3 2 4
4 3 2
0 2 2
2 2 5
3 0 5
4 0 2
4 1 1
10 9
3 0 3
0 2 2
1 2 1
2 4 1
2 3 0
3 2 2
4 3 2
1 0 4
4 1 3
3 4 0
10 5
1 2 1
2 1 0
2 0 1
1 1 2
0 2 0
1 2 2
0 0 1
2 1 2
1 1 0
2 2 2
10 8
0 4 0
1 0 3
3 2 3
4 1 4
0 0 2
3 0 2
1 3 3
0 3 0
1 2 2
0 4 4
10 9
3 0 1
0 3 1
0 0 2
1 0 2
1 3 2
2 2 0
2 1 1
1 1 0
1 3 3
2 2 1
10 4
2 1 2
2 2 1
2 0 2
2 2 2
0 1 1
1 1 1
2 1 0
1 2 1
1 0 0
2 1 1
10 2
3 1 1
1 5 3
0 1 2
5 1 2
1 4 1
0 5 2
3 3 1
1 1 3
0 4 0
1 2 1
10 2
3 0 2
3 3 2
0 4 2
4 1 3
0 1 3
3 0 0
3 2 2
3 1 1
3 4 4
3 4 0
10 2
2 1 0
1 1 3
1 1 1
1 0 1
3 3 0
2 2 0
0 2 3
2 3 3
3 1 3
1 2 1
10 4
0 1 0
1 0 1
1 1 0
1 2 1
2 2 3
0 2 3
0 2 2
3 0 0
2 0 1
1 1 1
10 2
1 2 0
0 1 1
1 0 2
2 2 0
0 2 2
0 0 2
2 2 1
0 2 0
2 2 2
2 0 2
10 9
1 1 2
0 2 0
0 2 2
1 2 0
1 0 0
1 2 1
2 2 1
2 1 0
0 0 0
1 1 1
10 7
5 1 4
0 3 1
2 1 4
3 3 1
2 5 3
4 2 2
2 2 4
4 0 3
5 5 4
4 2 3
10 7
3 1 3
0 2 2
2 4 0
2 3 4
3 3 0
4 0 4
4 1 3
1 3 1
0 4 3
3 3 4
10 6
1 3 2
2 0 0
3 1 3
3 0 1
2 0 3
0 1 2
1 2 1
0 2 3
0 3 2
0 2 0
10 9
2 3 3
4 4 0
3 1 4
1 1 1
1 1 4
1 0 3
1 2 0
4 2 3
3 4 1
3 1 3
10 5
0 0 1
2 1 0
0 1 2
2 1 1
1 0 0
1 1 2
2 2 2
1 2 2
0 1 0
1 2 0
10 7
2 1 0
5 2 2
4 0 0
4 0 1
5 1 2
2 3 0
1 2 0
4 1 3
5 5 2
5 3 4
10 5
4 3 3
4 2 4
0 3 1
2 0 2
2 4 3
4 1 0
0 0 3
1 0 0
4 2 2
3 4 4
10 2
4 1 2
5 5 4
1 0 1
5 5 0
4 3 1
0 2 1
1 5 1
5 0 0
4 4 1
0 5 1
10 4
2 0 3
4 4 1
1 2 0
2 1 3
1 0 4
3 0 0
4 1 4
4 4 2
1 3 2
3 1 0
10 8
0 1 1
2 2 0
1 2 1
1 2 0
2 1 1
0 0 0
0 1 2
1 0 0
2 1 0
1 0 2
10 2
0 2 0
1 0 2
2 2 3
3 1 1
3 1 0
3 3 0
0 0 3
3 0 2
1 2 1
3 1 2
10 5
4 2 4
0 3 4
0 3 0
0 2 2
3 4 0
2 3 2
3 3 4
1 2 0
1 1 3
4 4 2
10 2
2 1 0
2 0 2
1 3 2
1 3 1
2 3 1
2 0 1
1 1 1
2 1 1
3 2 2
3 3 1
10 4
3 3 5
5 1 4
0 1 5
2 4 5
1 0 1
3 2 1
3 3 1
5 3 0
0 2 3
3 1 0
10 5
0 1 1
3 1 1
1 3 3
2 2 2
2 1 2
2 0 1
3 2 1
0 3 0
1 3 1
1 0 0
10 3
2 1 2
2 0 0
0 1 0
0 2 2
0 0 0
1 1 2
1 1 1
2 2 0
2 1 0
0 1 2
10 3
1 2 0
0 0 1
2 1 1
0 1 2
1 0 1
0 1 0
1 2 1
0 2 1
1 0 0
1 1 0
10 3
4 3 3
2 0 1
3 1 0
0 4 4
4 1 1
2 2 1
0 4 3
2 4 3
1 3 2
1 1 1
10 3
1 0 1
2 1 0
1 0 2
0 2 2
0 2 1
2 0 1
0 0 1
0 0 0
1 0 0
2 1 2
10 3
1 3 1
1 2 2
2 3 3
3 2 3
0 3 2
2 2 2
2 3 1
3 3 2
2 0 1
1 3 0
10 3
2 2 2
2 2 0
0 2 1
0 2 0
1 0 0
0 1 0
0 0 0
2 0 0
2 1 0
1 0 2
10 9
3 5 3
2 5 1
5 4 3
1 2 0
3 1 0
2 3 1
0 0 2
0 0 1
1 1 4
1 4 4
10 5
0 2 2
2 0 0
1 2 1
1 2 0
1 1 0
2 1 0
2 2 0
0 0 1
1 1 2
2 0 2
10 6
0 0 1
0 1 1
1 2 2
2 2 2
2 0 2
1 1 0
0 0 0
2 1 2
2 0 0
1 0 0
10 8
1 0 1
5 4 0
0 1 0
0 0 3
4 1 0
3 5 2
4 5 2
4 2 1
2 1 2
5 1 1
10 8
1 0 4
1 3 3
1 2 2
0 0 1
1 1 0
3 0 2
4 4 4
0 1 4
4 4 1
4 2 0
10 7
3 3 1
2 2 3
3 0 1
2 1 1
3 1 2
0 0 0
0 3 2
2 2 0
3 2 1
2 0 0
10 7
3 2 1
0 2 2
1 2 3
1 3 1
1 2 1
1 1 2
2 3 0
0 1 2
3 2 3
3 3 1
10 3
1 5 1
5 5 5
4 1 5
3 4 0
0 4 5
4 2 5
0 2 3
0 2 5
5 0 5
0 3 2
10 4
2 0 1
0 1 0
1 0 2
0 2 2
0 2 1
2 1 0
2 1 1
1 0 1
1 2 0
0 0 1
10 4
1 3 2
0 0 1
2 3 2
1 2 1
1 2 0
0 1 1
3 0 2
3 2 3
0 2 1
1 1 1
10 3
0 3 2
0 1 3
0 2 2
0 0 2
1 2 2
2 3 1
0 2 3
1 2 3
3 0 0
0 1 1
10 6
1 0 5
3 1 1
0 3 0
4 5 3
4 5 0
2 5 3
2 4 3
5 3 0
5 0 5
1 0 2
10 5
2 2 0
2 0 2
1 1 2
0 1 2
2 0 1
0 1 1
1 2 1
2 1 0
0 1 0
0 0 2
10 9
2 1 0
2 2 1
2 2 2
0 0 2
2 0 0
0 0 0
0 1 1
1 0 2
0 1 0
1 0 1
10 6
2 3 1
4 1 3
3 4 4
1 4 3
0 0 2
3 4 1
4 2 3
2 2 0
0 0 3
4 2 4
10 9
5 4 0
4 1 2
4 5 1
5 4 3
3 4 1
2 4 4
4 5 5
4 4 5
1 0 3
1 3 2
10 7
0 0 0
4 1 2
2 2 0
4 2 1
4 2 4
0 3 1
0 1 2
1 2 4
5 2 0
3 2 4
10 4
0 3 3
1 2 2
0 0 0
0 0 3
3 4 2
0 0 2
1 4 1
3 3 0
1 4 3
2 2 1
10 7
2 0 1
0 2 1
0 0 2
2 2 2
1 0 2
1 1 0
1 2 1
1 2 0
1 0 0
2 2 1
10 5
1 2 0
2 2 0
2 1 2
1 0 2
0 1 0
0 0 1
2 0 0
2 1 1
0 2 1
1 1 1
10 3
0 2 0
0 3 4
3 2 3
2 2 2
2 0 4
4 1 3
0 3 1
0 4 1
1 2 3
3 0 1
10 6
0 1 2
4 2 1
4 0 1
4 2 4
0 4 5
0 3 2
4 2 5
4 2 3
1 1 3
0 5 4
10 7
0 2 3
1 1 1
0 3 3
1 0 3
0 2 1
2 3 3
1 3 1
3 0 3
0 3 0
3 1 3
10 9
1 0 1
2 2 1
2 1 2
1 2 0
2 2 2
2 2 0
0 2 1
0 1 1
2 1 0
0 0 2
10 2
0 2 2
0 1 2
2 3 2
0 0 4
4 1 4
4 0 1
1 0 3
4 0 3
4 3 4
2 4 2
10 6
2 0 0
2 2 0
1 0 1
2 2 1
1 1 2
1 1 1
0 0 1
2 2 2
0 0 2
2 1 2
10 6
0 0 0
1 2 0
2 2 0
2 1 0
1 2 2
2 1 2
2 0 1
0 2 1
1 1 0
2 0 0
10 5
2 2 0
1 2 1
3 2 0
2 2 3
0 3 3
3 0 3
1 0 2
1 2 3
0 1 3
3 0 1
10 2
0 0 0
1 1 0
2 2 2
2 2 0
1 0 0
1 2 2
0 0 2
1 0 2
1 2 0
2 0 2
10 8
3 1 3
1 0 1
1 3 3
2 0 3
3 1 1
0 1 0
0 3 2
1 1 3
2 1 1
3 2 1
10 5
1 0 0
0 2 3
0 3 2
4 1 3
3 3 0
3 3 4
2 0 1
0 3 4
1 0 1
3 4 4
10 9
0 2 2
0 1 3
2 2 2
3 0 0
1 2 3
2 0 0
1 3 3
1 0 2
2 1 3
0 1 0
10 9
5 5 1
2 1 4
0 3 1
4 0 3
3 3 4
1 2 0
5 3 3
3 3 0
2 4 3
2 3 5
10 5
2 0 0
1 1 0
0 2 2
2 0 1
0 1 2
0 0 0
1 0 0
0 2 0
0 2 1
1 2 0
10 8
3 1 2
2 2 3
1 1 1
2 1 0
3 3 1
3 2 0
0 3 1
2 3 1
0 2 0
1 3 1
10 5
1 1 2
0 0 1
0 0 2
2 2 2
2 0 1
2 1 2
0 1 2
2 2 1
2 0 2
2 2 0
10 2
3 4 1
3 3 2
3 1 3
2 0 1
5 0 4
2 3 2
1 4 3
5 4 4
1 2 1
5 2 0
10 8
0 0 0
0 2 2
2 2 1
1 2 1
1 1 2
2 0 2
1 0 1
1 0 0
0 1 2
0 2 0
10 6
1 0 2
0 1 3
2 0 3
1 2 2
2 2 1
1 3 3
2 1 2
3 2 1
1 1 2
3 2 2
10 9
2 0 3
3 2 3
3 3 0
0 2 3
0 0 1
2 2 3
1 0 1
0 3 1
2 0 0
0 0 2
10 8
1 1 5
1 3 2
0 4 5
2 0 1
3 1 2
2 4 5
5 4 3
5 2 0
1 0 2
5 1 1
10 6
1 1 1
0 0 2
0 1 0
2 0 0
1 2 2
1 1 2
1 0 1
1 0 0
2 1 1
1 0 2
10 4
2 0 0
0 1 2
0 0 1
1 1 0
1 0 2
0 1 0
1 0 1
2 0 2
0 0 0
2 2 1
10 9
2 0 0
0 0 0
2 1 0
2 2 0
1 2 0
0 2 2
0 1 1
0 0 2
0 2 0
2 2 1
10 9
0 1 1
3 1 3
0 3 1
1 3 0
1 0 1
1 0 2
0 3 3
3 3 2
1 1 3
3 3 0
10 7
3 0 2
0 2 1
0 2 0
3 3 0
0 2 2
0 1 1
2 0 3
2 1 0
0 3 0
0 3 2
10 4
3 1 1
3 3 2
2 0 0
1 2 1
1 0 3
1 0 1
2 2 0
1 3 3
0 0 1
3 2 0
10 3
1 2 0
0 1 2
0 1 1
1 1 0
0 0 0
2 2 2
2 1 2
0 2 2
2 0 1
0 0 1
10 8
2 1 2
2 2 1
0 2 2
1 3 2
3 3 1
2 0 1
3 0 1
3 1 2
2 2 2
1 3 3
10 5
4 5 5
2 2 5
5 4 1
3 0 2
1 0 4
4 4 0
0 5 2
2 1 4
2 5 2
5 1 3
10 4
2 2 0
1 0 1
2 1 2
1 2 2
0 2 1
0 0 0
2 2 2
2 0 0
2 0 1
1 0 2
10 9
4 4 1
1 4 1
2 3 0
1 0 3
2 1 3
4 0 3
2 2 1
0 1 4
4 2 1
0 1 1
10 9
1 1 0
2 0 1
1 0 2
3 2 1
2 3 3
1 2 1
1 0 0
3 1 3
2 2 0
2 3 0
10 2
2 2 1
3 0 1
2 3 2
1 3 3
3 1 3
3 3 2
1 2 1
1 1 3
1 1 1
3 0 3
10 4
0 3 4
2 1 4
3 4 0
0 2 4
0 1 1
2 2 0
2 0 0
1 1 0
1 1 4
0 4 1
10 7
3 3 0
0 1 1
1 3 2
1 2 1
0 3 3
3 1 1
0 2 1
1 2 2
2 1 1
1 0 1
10 6
5 5 4
4 0 1
2 5 5
2 5 3
1 2 0
2 1 5
0 0 5
4 0 3
0 4 5
5 0 1
10 5
3 0 0
2 3 0
1 2 3
3 3 2
1 3 2
3 0 4
4 4 3
0 1 2
0 2 0
0 0 2
10 5
0 0 1
2 1 1
2 0 2
1 2 2
0 0 2
0 2 2
0 1 0
0 0 0
2 2 1
1 0 0
10 4
2 2 3
2 1 0
3 0 0
2 2 2
0 3 3
2 3 3
2 3 2
0 1 3
1 3 1
1 3 3
10 3
1 0 4
0 0 0
0 1 1
2 4 2
4 2 3
4 0 4
0 3 4
0 3 0
3 2 3
2 3 2
10 6
2 0 2
1 1 1
2 2 3
0 3 0
0 2 1
2 3 3
0 3 3
2 2 1
3 3 1
1 2 0
10 2
2 1 0
1 0 0
2 3 0
1 1 0
3 2 0
2 3 1
3 1 1
2 0 2
2 0 0
0 2 1
10 4
1 0 1
2 2 0
0 0 0
0 2 2
2 3 0
0 1 0
2 3 1
0 1 2
1 1 1
3 0 3
10 6
1 2 0
2 1 0
2 0 0
0 0 0
0 2 2
1 0 1
0 0 1
2 1 2
2 0 1
2 0 2
10 4
0 2 0
2 0 0
2 0 1
1 0 0
2 1 0
0 0 0
1 1 2
2 1 1
1 1 0
1 2 1
10 9
5 5 5
0 3 1
5 1 4
4 5 1
1 4 4
0 4 3
4 3 3
2 0 2
5 3 0
5 5 3
10 8
0 0 2
1 3 2
3 4 0
2 3 0
2 4 2
3 3 1
0 3 0
0 4 2
0 1 1
1 1 3
10 9
0 1 1
3 3 2
3 3 3
2 3 3
2 1 0
3 1 2
0 2 3
3 1 3
1 2 2
0 3 3
10 7
2 2 2
1 3 3
1 1 0
3 3 1
1 3 2
1 0 1
3 3 2
3 0 2
3 2 1
2 3 0
10 5
2 2 0
2 0 1
1 1 2
0 1 0
1 0 2
1 1 0
2 0 2
1 0 1
1 0 0
2 1 2
10 7
2 2 0
2 5 5
3 3 2
1 4 0
3 2 1
2 1 5
3 2 3
1 5 5
2 4 0
2 0 2
10 6
3 3 1
3 1 3
4 0 1
2 2 2
1 0 1
1 1 4
0 2 1
4 0 3
4 3 0
0 4 0
10 9
1 3 0
3 0 3
2 2 0
2 3 0
0 2 0
2 0 2
1 1 0
2 0 1
3 3 3
1 1 1
10 6
3 1 0
2 2 3
3 4 4
4 3 2
3 1 3
3 3 1
0 4 1
1 3 4
2 0 1
2 2 1
10 8
3 0 4
3 1 0
0 0 4
3 3 1
1 2 3
3 3 3
2 4 0
2 1 3
1 2 4
0 4 2
10 4
4 3 4
3 1 4
3 3 1
2 2 1
2 3 0
0 3 4
2 2 4
0 4 3
1 3 4
1 3 1
10 8
0 2 1
1 1 4
1 1 2
4 2 2
2 3 0
3 3 2
3 1 0
2 4 3
3 2 1
2 0 3
10 6
4 1 3
3 1 3
0 3 2
0 0 0
3 3 2
4 4 3
3 3 0
2 0 4
4 2 1
2 1 2
10 4
1 4 0
2 4 3
3 2 3
5 2 1
5 1 4
0 2 2
3 1 0
5 3 1
5 2 4
2 3 3
10 8
2 3 2
2 0 1
2 3 3
4 3 2
2 2 3
0 0 0
3 1 3
1 0 3
0 4 0
3 2 2
10 5
4 0 3
0 2 2
0 4 3
3 5 2
5 4 3
4 5 2
5 0 2
4 5 1
3 3 0
2 1 2
10 5
0 1 2
1 1 2
1 0 0
2 0 2
0 1 1
2 1 1
1 2 2
0 0 2
0 2 0
1 1 1
10 8
1 2 2
1 0 2
1 1 0
1 2 1
0 1 1
0 0 2
1 1 2
2 2 2
0 2 1
2 1 1
10 5
2 2 1
0 1 0
0 2 2
1 3 0
3 2 0
1 1 3
1 0 3
2 0 2
3 0 1
2 3 0
10 9
2 4 1
3 3 0
5 1 2
5 4 1
2 2 5
4 3 3
2 4 0
2 0 1
4 0 5
5 4 2
10 9
2 4 3
3 3 4
2 5 2
1 2 0
5 1 1
4 4 3
2 2 5
2 1 5
3 5 4
2 2 4
10 6
0 0 0
0 1 0
0 2 1
0 0 1
2 0 0
1 1 1
2 2 1
2 0 2
2 1 0
1 0 0
10 3
1 2 0
3 0 2
3 3 2
0 2 1
0 0 2
1 0 3
1 2 3
3 2 0
3 2 3
1 1 1
10 7
5 3 1
1 4 0
2 5 1
5 4 4
3 0 4
2 0 0
4 0 2
2 3 2
0 2 5
3 4 2
10 5
1 1 3
3 1 3
0 2 3
1 3 3
2 2 0
2 3 2
2 1 1
3 2 0
0 1 2
0 1 1
10 2
2 1 0
4 0 1
3 3 2
1 2 0
1 0 3
3 1 4
1 0 0
1 0 4
2 2 0
0 2 3
10 9
1 4 1
1 2 4
0 1 4
4 3 4
0 3 2
4 3 1
1 1 3
2 3 3
1 3 0
4 4 1
10 7
2 2 5
0 0 0
5 3 1
0 5 5
5 2 5
5 2 3
3 4 2
4 3 4
1 0 0
4 1 0
10 6
0 2 0
4 3 0
3 0 3
1 1 2
4 0 4
4 4 0
3 4 3
1 2 3
3 1 2
1 0 4
10 7
4 2 0
4 1 0
2 3 2
0 3 2
1 4 3
4 4 3
2 0 3
4 0 3
0 1 4
4 4 1
10 5
0 5 3
4 4 1
2 2 4
2 1 4
3 3 3
2 4 4
5 5 4
1 1 3
5 5 2
4 4 0
10 2
1 3 3
2 3 0
3 2 1
2 2 1
1 1 2
2 1 1
2 3 1
0 2 2
0 3 2
3 0 0
10 7
1 0 0
2 4 2
3 1 4
2 2 4
4 2 2
4 3 2
2 2 1
1 1 0
0 3 3
0 1 0
10 7
2 2 2
3 0 0
0 3 2
0 2 0
1 1 2
3 0 2
1 0 3
1 1 1
0 2 3
3 2 0
10 2
0 3 4
3 1 2
3 0 2
2 2 3
0 2 2
1 2 4
2 2 2
4 4 1
2 4 4
1 4 1
10 3
3 4 4
3 2 4
1 0 4
2 3 1
1 1 1
2 2 1
3 3 4
0 3 2
4 1 4
0 2 0
10 2
3 2 1
2 0 1
2 0 2
3 2 3
0 2 2
3 0 3
1 0 2
1 3 0
3 2 2
1 1 0
10 5
2 0 3
1 3 1
2 2 0
2 2 2
0 3 1
3 3 3
3 2 2
3 3 2
0 2 1
3 2 0
10 7
4 3 1
0 2 3
2 4 0
1 0 4
1 2 4
2 2 4
2 0 2
3 3 3
4 2 4
2 2 0
10 6
2 0 2
1 1 1
1 2 2
1 2 0
0 2 1
1 3 2
0 3 0
3 3 1
2 3 3
1 2 1
10 9
2 2 4
3 3 4
4 1 2
4 1 0
1 1 4
4 0 1
0 4 5
3 3 0
4 1 5
3 0 4
10 5
0 0 0
1 2 0
3 0 2
1 1 3
3 1 3
2 3 0
2 2 3
0 3 3
3 3 2
2 3 3
10 2
2 0 2
0 0 0
1 1 1
1 0 0
0 2 2
1 1 2
1 1 0
0 2 1
1 2 0
2 1 1
10 3
0 2 1
1 1 0
2 2 0
1 0 2
1 2 0
0 2 2
2 0 1
2 0 0
1 1 2
2 0 2
10 8
2 0 1
0 0 2
2 1 2
0 2 0
1 2 2
0 2 2
1 1 0
1 0 1
1 2 1
2 2 2
10 6
2 2 1
0 0 0
0 1 1
0 1 0
1 1 0
0 0 1
0 2 0
0 0 2
2 0 2
2 1 0
10 7
2 0 2
1 0 0
0 0 2
0 2 0
0 0 0
2 0 1
2 2 0
1 1 2
2 2 2
0 2 1
10 6
1 2 0
0 2 2
2 1 2
2 0 2
0 1 0
2 1 1
0 0 0
1 0 0
0 1 1
1 1 1
10 3
0 0 0
2 0 1
1 0 2
2 2 2
1 0 0
1 2 2
1 0 1
0 2 2
0 2 1
1 2 0
10 2
0 2 0
4 1 3
1 4 3
4 2 3
2 1 0
4 2 2
0 1 2
1 3 4
4 3 4
4 4 2
10 7
0 1 5
0 5 2
0 2 4
3 3 2
0 1 1
2 2 2
2 4 2
4 1 5
5 3 4
4 1 1
10 7
1 0 1
1 0 2
1 2 0
3 0 3
1 0 0
3 0 2
3 3 0
2 3 3
1 1 3
3 2 2
10 7
0 0 0
1 0 2
2 2 1
4 0 1
1 3 3
4 0 2
0 3 0
3 3 0
2 0 3
3 2 4
10 6
1 2 0
1 0 1
0 1 1
0 2 0
0 2 1
2 0 1
1 1 1
0 2 2
0 0 1
1 2 2
10 9
0 1 3
4 3 0
1 2 3
4 2 0
1 4 5
2 3 5
4 0 1
0 0 5
2 4 3
1 4 1
10 2
1 2 2
1 0 1
0 0 1
1 2 1
2 1 2
2 0 2
0 1 0
0 2 0
1 1 2
0 2 2
10 9
3 3 2
1 2 3
3 0 4
1 3 0
1 1 2
4 2 3
0 0 1
0 0 3
3 0 0
0 1 3
10 3
3 1 3
1 3 3
0 1 0
0 0 1
3 1 0
1 2 2
0 0 4
3 4 1
1 4 2
1 0 0
10 3
0 0 1
1 3 1
4 0 3
4 2 2
1 3 3
1 2 4
4 2 3
4 4 4
1 4 4
0 2 4
10 2
2 1 3
0 4 3
1 2 2
1 4 4
3 2 1
4 1 3
1 2 3
2 3 3
2 2 1
0 3 4
10 3
0 3 3
3 1 1
3 4 0
3 4 3
3 0 3
0 4 2
1 1 4
4 1 1
4 4 2
2 1 4
10 9
0 2 3
4 5 2
2 1 1
5 1 5
5 3 2
5 2 2
3 3 5
3 5 4
3 0 4
5 5 3
10 8
3 0 0
2 2 2
0 1 1
1 2 1
4 1 0
4 1 3
4 1 1
1 4 1
0 4 4
2 1 0
10 2
2 1 2
1 2 2
1 1 2
0 0 1
2 0 0
1 0 2
0 2 0
0 2 2
0 0 2
2 2 2
10 3
2 1 0
4 2 2
3 2 3
1 1 0
3 1 4
2 1 1
0 1 1
3 3 0
1 2 4
4 1 1
10 2
0 3 0
1 2 3
1 4 1
2 3 5
4 2 4
1 5 3
0 0 4
4 4 3
1 0 2
5 3 1
10 7
2 3 0
2 2 3
1 0 1
1 2 1
1 3 3
0 3 3
3 1 2
1 0 3
1 2 2
0 2 3
10 3
1 1 0
0 0 0
1 2 2
0 1 2
1 1 1
0 2 0
2 0 0
2 1 0
2 2 2
1 2 1
10 2
3 3 3
0 1 0
1 3 1
2 3 1
0 0 1
1 1 0
1 2 0
0 2 0
1 2 3
2 0 2
10 2
2 4 4
1 5 0
1 5 2
5 5 3
2 1 0
1 1 3
0 5 5
2 5 2
1 3 0
2 5 0
10 7
4 2 4
5 0 0
5 1 4
4 5 2
1 0 1
1 5 0
4 0 0
4 1 5
3 5 3
1 2 1
10 9
0 0 2
0 2 0
2 0 0
0 1 0
2 2 1
2 0 2
1 1 2
1 1 1
1 2 0
2 2 0
10 4
0 5 0
1 4 1
1 5 3
0 0 1
1 5 1
1 0 3
0 3 1
4 5 5
2 0 3
3 0 1
10 6
0 2 0
3 2 3
0 0 2
2 3 1
0 0 1
3 0 2
2 0 2
1 0 0
1 2 3
2 2 1
10 8
3 1 0
1 3 2
0 1 3
3 2 1
2 1 2
2 2 2
0 0 2
3 3 1
0 3 2
1 2 0
10 9
2 3 2
5 2 0
0 4 4
0 5 1
1 5 4
1 0 0
0 5 3
5 1 0
0 5 4
5 4 0
10 2
5 0 2
1 0 5
4 5 5
3 1 5
0 3 5
4 2 4
2 2 2
1 4 5
0 1 0
1 2 4
10 5
0 1 3
0 3 2
0 2 3
2 2 3
0 1 1
1 2 3
2 3 0
2 0 3
0 0 0
2 0 2
10 5
2 1 0
1 1 2
1 0 2
2 0 0
1 1 0
0 1 1
1 2 0
2 2 2
2 1 1
0 0 2
10 7
4 1 0
1 0 2
4 3 1
2 4 2
1 4 0
2 0 4
4 2 3
0 2 1
2 1 1
0 4 4
10 9
0 4 5
1 3 1
2 2 5
3 1 4
0 2 5
3 4 0
5 1 5
2 0 2
2 0 1
1 0 3
10 5
1 2 1
3 2 4
2 0 0
4 4 2
5 4 2
1 3 4
0 3 0
3 5 4
5 4 3
2 5 4
10 3
0 0 0
0 2 1
1 1 2
0 0 1
1 0 0
1 2 1
0 2 2
2 0 1
1 1 1
0 1 2
10 4
0 4 2
4 3 1
1 3 0
1 1 2
3 4 5
3 0 3
3 2 1
2 0 1
3 4 0
5 2 3
10 9
5 2 3
0 4 3
1 4 3
2 2 1
2 4 4
2 5 4
5 2 2
2 4 3
2 1 0
5 3 1
10 7
2 1 3
2 2 3
2 0 2
1 2 2
0 3 1
1 0 2
2 1 1
1 3 1
0 1 2
1 0 0
10 7
3 4 2
2 1 0
2 0 2
4 1 3
1 1 4
2 0 3
4 4 2
3 1 2
0 2 1
2 4 2
10 9
4 1 0
1 2 0
0 0 1
2 3 1
3 1 4
2 2 4
1 2 2
0 3 3
4 1 1
2 3 3
10 9
0 1 1
2 2 2
2 1 2
2 0 0
0 2 2
1 1 1
0 0 0
0 2 0
1 2 2
1 1 2
10 3
1 2 2
2 0 0
3 1 0
2 3 3
0 3 3
0 2 2
1 1 1
1 3 2
0 0 0
2 3 1
10 3
2 2 1
0 2 2
0 1 1
1 0 0
2 1 2
2 1 0
1 1 1
0 1 2
0 0 1
2 0 0
10 9
2 0 1
3 0 0
4 2 2
5 5 4
1 3 5
4 0 5
0 0 4
1 2 4
2 5 2
5 5 0
10 8
2 2 2
0 0 0
1 2 0
1 2 1
0 1 2
2 2 0
0 2 0
2 1 0
2 0 2
1 1 1
10 3
4 0 2
4 4 1
2 0 2
0 1 0
1 0 4
4 1 2
1 2 1
2 2 4
3 1 2
3 1 1
10 2
2 1 3
5 0 2
4 1 0
0 3 4
3 1 3
0 1 2
0 5 0
5 5 2
0 1 0
3 1 4
10 8
1 2 1
0 1 1
0 0 1
3 2 3
0 0 0
3 1 1
0 0 3
2 0 3
3 1 2
2 2 3
10 8
2 0 2
1 3 0
0 0 4
1 2 0
4 2 3
0 0 1
4 2 0
4 4 1
1 4 0
3 3 4
10 6
2 2 1
5 5 2
1 4 5
0 3 4
4 1 0
2 3 0
3 0 0
3 4 5
0 5 4
5 3 2
10 2
3 1 2
1 1 2
2 2 2
0 3 3
3 1 3
3 0 2
0 1 0
1 1 3
1 2 0
1 1 0
10 7
3 4 4
3 5 5
5 0 3
4 3 1
0 5 0
2 3 2
2 4 5
0 2 5
3 4 5
1 4 3
10 5
1 2 0
1 0 2
0 1 2
3 2 3
2 1 0
0 0 2
1 2 2
0 2 2
1 0 1
3 0 2
10 3
1 2 3
3 0 0
0 1 2
0 3 3
1 0 1
1 1 3
0 0 2
1 3 2
2 1 0
0 3 0
10 5
3 2 5
3 1 1
3 0 3
2 1 1
3 4 1
2 4 5
5 5 2
5 2 2
3 5 1
3 0 1
10 7
2 1 2
1 0 0
0 1 1
1 1 1
1 2 2
1 1 0
0 0 2
2 1 0
2 2 0
1 1 2
10 5
4 2 1
5 5 5
5 0 0
3 4 5
2 5 4
2 3 2
2 5 1
4 5 4
1 2 5
5 3 0
10 6
0 2 4
2 0 3
1 3 5
3 0 0
0 5 5
1 0 1
1 5 4
3 5 4
2 2 1
3 1 4
10 6
1 2 0
0 1 1
1 2 2
0 0 0
1 1 1
1 0 1
2 1 2
2 2 1
0 2 1
0 0 1
10 4
0 1 0
1 3 4
2 1 0
0 4 0
4 4 2
4 3 4
4 0 4
2 0 3
0 1 4
0 1 1
10 9
5 2 1
4 4 0
0 2 1
5 0 0
1 1 1
1 1 2
4 4 3
3 5 3
4 2 0
0 1 1
10 6
3 1 0
0 4 5
0 5 1
4 4 2
3 1 2
2 4 1
3 2 3
5 4 4
1 5 2
2 1 4
10 8
2 2 2
1 1 1
2 2 1
0 1 1
1 2 0
1 2 2
2 1 1
1 1 2
1 0 1
0 0 1
10 2
0 3 1
3 0 1
0 3 3
1 0 0
4 4 1
0 1 4
3 3 0
1 2 1
2 3 0
2 2 1
10 8
5 3 5
5 1 4
1 3 4
3 0 1
5 0 2
5 3 2
1 0 2
1 3 1
2 3 1
3 2 1
10 6
0 2 1
2 0 1
2 2 0
0 0 0
0 1 1
0 0 1
2 1 0
1 0 2
0 2 2
2 0 0
10 4
2 0 4
2 4 0
5 2 0
0 5 2
0 3 4
5 2 5
4 4 5
4 2 0
0 4 0
3 4 2
10 6
4 3 1
3 5 5
5 1 1
1 1 1
3 4 2
2 2 3
4 2 0
5 0 1
5 4 0
5 2 0
10 3
5 1 3
5 1 2
0 3 0
3 5 3
3 5 4
2 3 0
3 2 5
2 3 5
3 3 0
4 1 0
10 7
1 2 1
0 2 2
3 0 1
2 1 1
3 1 0
0 1 2
1 1 2
0 3 0
3 0 0
2 0 0
10 5
3 0 4
5 4 4
0 4 1
4 4 2
5 3 0
3 5 3
2 2 3
1 0 1
4 3 0
2 0 0
10 3
0 2 2
1 0 2
1 0 0
0 2 1
0 1 2
1 2 0
2 0 2
2 1 2
1 1 0
1 2 1
10 3
2 1 4
2 2 3
0 3 3
4 4 2
2 1 3
3 3 4
0 0 2
4 4 1
2 3 0
3 0 1
10 3
0 2 2
0 1 0
0 2 1
2 1 1
2 2 3
2 0 2
3 1 1
2 1 3
3 3 2
2 1 2
10 3
1 2 0
2 1 1
2 1 2
0 1 1
2 2 1
2 2 0
2 0 0
1 1 0
2 0 2
1 0 2
10 3
1 1 2
2 1 1
1 2 0
1 0 2
2 2 0
0 2 2
1 0 1
1 1 0
2 0 1
0 2 0
10 3
1 4 4
1 3 1
3 1 2
3 4 4
3 3 1
0 3 0
0 3 1
1 2 4
1 0 4
3 0 3
10 8
3 1 2
1 0 3
0 0 3
0 2 1
2 2 2
0 0 2
3 1 3
2 2 1
1 2 0
2 0 3
10 7
4 1 2
1 0 2
5 0 1
3 0 2
1 4 3
2 0 1
5 4 5
5 5 2
3 3 1
5 4 1
10 5
1 0 3
4 4 4
2 5 3
1 3 4
4 0 1
2 1 3
0 0 5
3 5 4
0 3 1
2 3 5
10 5
0 3 0
0 3 2
2 3 1
1 2 3
3 3 3
0 1 1
3 0 2
0 2 0
3 3 2
2 0 0
10 2
0 0 0
0 1 1
2 0 1
1 1 0
1 0 1
1 2 1
1 2 0
2 2 0
0 2 1
2 1 2
10 5
1 1 3
0 0 0
0 2 4
1 3 4
1 3 1
4 1 2
2 0 2
2 3 0
2 1 1
3 0 4
10 2
2 2 1
2 2 2
0 0 0
1 0 2
1 1 0
0 1 0
2 1 0
1 2 1
0 1 1
1 2 0
10 2
2 1 0
2 0 2
0 2 0
3 3 2
1 2 3
2 2 3
2 0 0
1 2 1
0 3 2
0 3 0
10 5
1 2 1
3 4 4
2 4 3
1 4 2
3 0 3
3 3 1
1 0 3
4 4 4
4 0 0
0 0 2
10 7
0 2 1
1 2 1
2 0 0
1 0 0
2 2 1
2 2 0
0 2 0
2 2 2
1 2 2
2 0 1
10 8
4 3 2
4 0 0
2 3 2
2 0 3
4 2 4
4 4 2
1 2 4
3 1 3
0 0 4
4 4 4
10 5
0 0 2
0 2 2
0 1 2
1 1 1
2 2 0
2 1 2
0 0 0
1 1 2
1 0 0
0 0 1
10 5
1 2 3
3 0 3
2 1 1
3 1 0
3 3 0
2 2 2
0 1 1
1 0 3
1 1 1
0 1 3
10 9
2 3 3
1 4 3
4 4 1
4 0 4
0 1 1
2 0 1
1 2 0
2 4 1
4 1 4
0 4 4
10 2
0 0 1
1 2 2
2 0 1
1 1 0
1 2 0
1 1 1
0 0 2
0 2 2
0 1 0
1 0 2
10 4
2 0 3
1 3 0
3 4 1
4 3 1
3 4 2
1 2 4
3 1 3
2 4 3
0 0 2
0 2 2
10 4
2 2 0
0 1 2
1 1 2
0 2 0
2 0 1
1 2 0
0 1 0
2 2 2
2 1 2
0 0 0
10 6
1 1 1
0 1 3
0 0 3
1 2 1
0 3 2
2 3 1
2 3 3
3 1 1
3 2 0
1 3 3
10 8
4 4 2
5 4 2
5 3 1
5 4 1
0 1 1
1 0 3
2 3 5
2 1 1
1 5 1
0 5 5
10 7
3 4 2
0 3 4
0 4 1
4 1 1
1 3 3
3 4 3
1 4 4
2 0 4
3 3 1
3 0 3
10 4
0 2 1
1 3 1
3 0 0
0 2 3
3 0 2
0 1 1
1 1 1
2 2 1
2 0 1
3 3 1
10 2
3 0 1
3 2 4
1 2 3
4 4 4
0 3 0
3 1 2
1 3 0
0 4 0
4 3 0
3 4 2
10 2
1 5 5
3 3 4
1 1 4
5 1 3
5 1 5
3 1 4
3 1 2
5 2 0
0 2 2
1 2 1
10 8
2 2 1
1 1 0
1 2 0
1 0 0
2 1 0
1 0 1
0 0 1
0 1 2
0 0 0
2 1 1
10 9
5 4 2
0 4 4
3 0 4
1 3 0
5 1 2
4 3 1
1 5 2
5 2 4
0 2 2
4 4 0
10 4
1 3 3
0 2 3
4 3 3
0 1 5
0 5 0
2 1 0
5 3 1
2 2 2
2 2 3
2 0 3
10 3
2 0 4
2 2 0
2 2 3
2 4 0
1 3 5
4 2 3
0 5 2
1 3 3
2 1 1
3 1 3
10 4
5 0 4
3 2 5
5 1 3
2 0 1
5 2 3
0 4 0
1 3 4
1 0 4
0 1 4
3 5 4
10 4
5 5 0
4 4 3
1 2 5
1 0 5
2 4 5
5 4 0
5 2 3
0 1 1
1 3 2
5 0 3
10 3
1 1 1
0 2 0
2 2 0
2 0 0
0 2 2
1 2 2
2 1 1
0 0 1
2 1 0
2 1 2
10 7
2 3 3
1 3 0
0 0 2
3 0 1
1 1 3
2 0 0
2 0 1
0 2 1
1 0 2
2 0 3
10 9
1 4 0
1 3 0
0 0 3
2 4 1
2 0 5
3 1 1
2 4 3
4 3 4
0 0 0
0 2 2
10 9
5 5 4
2 1 2
4 0 3
3 3 2
2 0 4
0 0 0
1 1 0
0 5 2
5 2 4
5 4 0
10 3
4 1 1
4 2 4
4 1 0
4 2 1
2 3 2
3 0 3
1 3 2
3 4 0
4 2 3
2 3 0
10 2
0 0 2
1 4 2
1 4 1
2 2 1
1 1 1
0 1 4
0 4 0
3 1 3
4 1 3
3 2 1
10 4
0 1 0
1 0 1
2 0 0
2 1 2
0 0 1
2 2 2
1 2 0
1 1 0
1 2 1
2 0 1
10 7
3 2 1
1 4 0
3 1 4
4 3 4
3 0 0
2 3 4
3 1 2
4 1 4
0 1 0
2 1 3
10 5
1 0 1
0 2 1
0 2 2
2 2 0
1 2 1
0 0 2
2 1 2
1 2 2
0 0 0
1 2 0
10 6
0 2 2
0 3 1
2 2 1
1 0 3
3 0 0
3 3 2
0 2 0
1 0 1
1 0 0
1 2 0
10 3
3 3 0
1 3 3
2 1 4
0 3 0
3 0 2
2 4 0
2 1 3
1 0 1
1 2 3
0 4 3
10 9
3 1 4
4 2 4
1 3 1
0 0 4
4 4 4
2 0 2
0 0 2
1 1 1
3 1 2
4 1 4
10 3
1 2 0
1 0 2
0 2 0
2 0 1
1 2 2
2 0 2
0 2 2
2 2 0
0 0 1
2 2 2
10 2
2 2 0
3 2 2
2 3 1
2 0 2
1 1 3
0 1 1
2 1 1
3 2 0
2 0 0
2 0 3
10 7
4 1 0
1 1 4
2 0 2
1 1 2
2 0 0
0 3 2
4 0 4
2 2 4
1 4 4
3 1 0
10 3
3 3 0
1 2 3
3 3 2
1 1 3
1 3 1
0 0 0
2 0 2
0 2 0
2 1 0
0 1 2
10 6
1 2 0
2 2 2
2 1 2
0 1 2
0 0 2
0 1 0
0 0 1
2 0 0
1 0 1
0 2 1
10 2
0 0 1
0 1 0
1 1 1
0 0 2
0 2 0
1 2 1
2 2 1
2 0 2
2 0 1
2 2 0
10 4
3 0 4
4 5 1
2 3 4
0 4 5
2 0 1
2 4 2
0 2 2
5 0 3
4 1 4
1 0 2
10 5
0 1 5
3 0 0
5 4 4
4 0 0
0 2 3
5 1 4
1 2 1
1 1 0
2 3 4
2 3 5
10 8
2 2 1
0 1 0
2 0 1
1 0 2
1 1 0
0 0 2
1 0 1
0 1 2
2 0 0
0 2 0
10 4
4 3 1
1 2 4
1 1 1
4 3 3
1 0 0
1 3 1
4 1 0
1 3 3
1 1 4
4 2 3
10 9
0 1 3
4 4 4
0 1 1
0 4 0
2 4 1
2 3 4
4 3 4
0 3 3
2 0 1
3 4 3
10 9
4 1 0
5 3 2
2 5 5
4 2 5
4 4 3
2 2 2
5 1 1
4 2 2
5 0 3
1 0 5
10 8
5 0 4
0 0 0
1 4 0
3 3 5
2 2 3
4 0 3
1 1 3
3 5 4
2 0 0
2 2 5
10 6
1 3 0
0 4 4
3 4 2
0 2 0
1 3 3
3 1 4
1 3 4
0 1 4
3 1 2
0 2 2
10 5
1 3 0
0 1 3
2 2 3
0 0 2
1 2 3
3 2 1
2 0 3
3 3 2
2 0 2
1 0 1
10 2
3 3 0
3 2 2
4 1 4
1 3 2
2 1 0
4 3 1
3 2 0
3 0 1
2 0 3
2 0 2
10 3
1 1 0
0 3 0
0 0 3
0 1 2
3 2 1
4 2 1
0 2 4
1 1 3
4 4 4
3 4 4
10 9
3 2 3
3 3 1
2 0 0
3 2 1
1 1 0
0 1 3
2 1 2
1 0 2
0 2 3
0 2 1
10 8
0 2 2
3 1 2
1 0 1
4 3 4
0 3 3
2 2 4
0 0 0
1 0 0
3 0 3
2 4 4
10 2
3 3 4
1 0 3
0 0 0
3 4 2
4 0 4
1 0 0
3 3 3
2 1 4
0 3 4
2 4 0
10 8
2 1 1
2 2 2
0 1 2
1 0 2
0 2 0
2 0 1
0 0 1
0 2 2
2 1 2
2 0 0
10 4
1 0 3
1 2 3
0 3 3
3 1 2
3 3 3
3 3 0
3 2 2
3 1 0
1 0 2
1 1 3
10 3
2 1 2
2 0 3
2 3 1
2 0 2
0 2 0
3 3 0
0 2 2
1 3 2
0 2 3
1 0 0
10 6
4 3 1
3 1 1
2 4 4
2 1 1
4 3 4
0 2 2
4 0 1
0 5 1
0 2 4
5 1 2
10 3
0 0 0
1 1 2
1 2 1
2 2 1
1 0 2
2 1 0
1 0 0
1 0 1
1 1 0
2 0 0
10 5
0 0 1
0 1 0
3 2 3
0 1 2
1 1 2
0 0 3
0 2 1
0 2 3
2 1 3
1 3 3
10 4
2 0 2
0 1 0
1 2 3
2 2 1
0 2 0
0 2 3
3 0 3
2 1 1
3 1 0
3 1 3
10 4
0 2 0
1 0 2
1 1 0
2 0 2
2 2 0
0 0 2
0 0 1
2 1 0
0 1 2
2 0 1
10 6
2 2 2
3 3 2
0 0 2
2 3 3
1 0 2
0 2 3
3 0 3
3 1 3
0 2 2
0 1 1
10 9
0 0 0
0 1 2
0 1 0
2 2 2
0 2 1
2 1 1
1 2 2
2 0 2
2 1 2
2 0 0
10 6
5 2 1
2 2 4
4 2 3
1 2 0
4 4 5
4 1 5
4 5 5
1 5 5
4 4 2
0 0 0
10 3
0 4 1
4 0 2
2 1 1
1 0 0
3 0 3
3 3 3
0 1 4
1 2 3
4 4 0
3 0 1
10 7
2 1 4
1 0 4
0 1 4
1 1 1
1 0 3
2 0 2
2 1 1
3 0 2
3 1 3
1 3 3
10 9
2 1 2
2 0 1
1 1 0
1 0 2
2 0 0
1 0 0
2 0 2
1 0 1
0 0 2
0 2 2
10 4
1 3 0
2 1 3
2 3 2
1 2 0
1 0 3
2 2 1
1 2 3
1 2 2
3 3 0
2 3 0
10 7
0 1 2
2 3 2
3 1 3
3 3 1
2 3 0
0 2 1
2 0 1
2 1 3
1 1 3
0 3 3
10 9
0 2 3
1 0 3
3 2 2
0 0 0
0 2 1
1 2 1
3 2 3
1 2 0
0 2 0
3 0 1
10 3
4 3 4
3 3 2
5 3 5
0 4 3
1 3 0
2 4 2
2 0 4
2 1 0
0 1 0
3 5 0
10 2
0 1 0
4 3 0
1 3 0
0 1 4
2 2 1
4 2 3
4 0 2
0 2 1
4 2 1
2 3 0
10 8
0 2 3
0 0 0
3 2 1
2 2 0
2 3 1
3 0 0
1 1 1
3 3 1
3 2 3
2 2 2
10 9
0 2 2
3 3 2
1 2 0
3 1 1
0 0 1
3 0 3
2 2 2
1 0 0
2 2 3
1 2 3
10 2
5 1 1
3 1 0
4 3 3
1 5 2
0 1 0
4 2 3
5 1 2
5 5 5
4 5 0
1 2 3
10 2
1 5 5
4 4 1
4 3 4
2 2 1
1 3 5
1 1 4
1 2 0
4 4 0
0 0 1
0 1 4
10 8
1 1 1
1 0 2
2 2 2
1 0 0
1 2 1
2 2 1
0 1 1
1 2 2
1 2 0
0 2 2
10 8
0 3 2
1 3 2
0 0 4
4 1 4
1 0 3
2 3 4
0 4 1
0 3 4
1 3 3
4 3 1
10 4
4 4 2
3 1 1
3 3 4
3 0 4
2 3 4
4 0 0
1 3 3
1 4 3
0 4 4
0 4 2
10 2
2 1 0
1 0 3
2 3 2
3 2 1
0 1 2
1 1 3
1 3 2
0 2 3
3 1 2
1 3 3
10 5
0 3 2
0 2 2
1 3 1
3 3 2
1 0 3
0 0 0
1 3 0
2 1 3
0 0 3
0 0 1
10 5
1 1 2
3 0 2
2 3 0
4 1 4
0 4 2
1 1 3
3 2 4
1 4 3
1 0 4
0 0 0
10 9
4 4 4
4 5 3
3 0 0
0 2 0
5 3 4
3 5 1
4 5 1
5 2 5
3 0 2
0 2 5
10 6
4 2 2
2 3 1
4 3 2
4 2 4
3 4 0
0 3 3
1 2 2
4 4 2
0 0 1
0 2 2
10 9
2 1 0
4 1 4
1 2 2
0 2 3
0 3 3
1 4 3
0 1 0
2 1 3
1 2 1
3 2 3
10 8
3 3 1
3 0 3
1 2 3
1 1 3
2 1 1
3 1 3
0 1 3
2 0 2
3 3 2
1 0 1
10 7
1 1 0
2 0 2
2 2 3
1 3 2
1 3 0
2 1 1
0 1 3
1 3 3
1 0 0
3 1 2
10 5
0 2 2
0 2 1
2 1 1
2 2 0
1 2 1
1 2 2
0 0 0
0 0 1
2 0 2
1 0 0
10 2
1 0 0
2 0 3
0 2 2
1 5 1
0 2 4
0 0 5
2 5 5
3 0 4
3 1 0
3 2 1
10 9
5 1 1
0 0 0
5 5 1
0 0 1
2 4 0
2 0 2
1 3 0
1 4 5
4 5 0
4 0 3
10 4
0 1 2
0 0 3
3 2 2
2 0 1
0 1 1
1 2 3
1 1 3
2 0 3
3 1 2
1 3 1
10 2
1 2 0
0 2 2
2 1 0
0 0 1
0 1 2
2 2 2
2 1 1
2 2 1
2 2 0
0 1 0
10 3
3 2 3
4 4 0
2 3 3
2 1 0
3 1 3
2 2 3
1 3 2
0 1 3
0 2 2
4 4 3
10 5
2 1 2
3 3 0
3 1 3
0 3 2
2 3 0
3 1 1
2 3 1
1 1 1
2 2 3
2 1 3
10 6
2 2 2
1 2 3
3 2 2
0 2 2
2 2 3
0 1 0
2 3 2
1 0 3
3 0 3
0 0 1
10 9
0 1 1
3 3 3
2 1 1
0 1 0
1 1 2
0 3 3
1 3 1
3 3 0
3 1 0
2 1 0
10 8
0 0 4
2 2 1
5 5 1
2 5 2
2 1 0
4 1 4
2 4 1
0 1 0
2 1 2
3 3 2
10 4
1 2 1
0 2 0
1 0 1
0 1 1
2 2 1
0 1 0
2 0 1
2 1 1
0 1 2
1 2 0
10 3
3 2 4
0 0 0
1 1 4
2 1 2
3 0 3
2 3 3
0 2 3
4 2 2
2 4 3
0 1 2
10 6
3 1 2
1 1 0
3 1 3
1 2 0
2 2 3
3 1 1
1 3 0
2 1 2
3 2 2
1 3 3
10 3
1 0 3
0 3 4
2 4 4
0 3 1
0 0 4
1 0 0
3 1 1
0 4 2
4 3 1
2 4 2
10 6
0 2 3
5 4 5
2 1 0
2 0 3
3 1 2
1 3 2
3 2 5
5 3 5
1 4 2
0 1 5
10 9
2 2 2
2 2 1
0 0 0
4 0 2
1 3 0
0 2 3
4 1 4
3 4 2
3 2 3
2 2 3
10 5
0 3 3
3 1 1
1 2 0
2 3 3
0 1 0
3 2 0
1 3 2
0 0 2
0 3 1
0 2 2
10 4
4 4 1
2 4 2
0 0 3
1 0 2
4 4 2
3 0 0
2 1 3
4 4 4
3 1 2
0 0 0
10 7
0 2 1
2 0 0
2 2 2
1 1 1
0 0 2
1 1 0
0 0 1
2 0 2
2 1 1
1 2 0
10 6
0 0 1
2 2 0
0 0 0
1 2 2
0 2 1
2 0 1
1 2 1
2 1 2
0 0 2
2 2 1
10 6
2 1 5
2 2 4
1 3 3
2 5 1
4 2 2
4 0 3
3 5 5
2 0 5
4 3 2
4 2 3
10 8
1 1 1
0 0 0
0 1 1
1 0 1
0 1 3
3 2 3
2 1 0
3 3 1
0 3 0
0 1 2
10 2
0 3 1
2 3 0
3 1 1
1 1 3
2 0 2
0 1 0
1 1 1
1 0 2
2 0 0
3 1 3
10 3
1 2 3
1 0 0
1 3 1
0 3 0
1 0 1
0 1 3
3 0 3
2 1 2
1 1 0
2 1 0
10 2
1 2 0
2 2 2
2 1 1
3 0 3
1 3 3
0 0 1
0 0 3
2 2 1
1 0 1
2 3 1
10 9
0 3 2
2 2 0
5 3 5
1 3 4
2 5 4
1 5 3
3 4 2
0 2 2
5 5 2
0 0 3
10 9
1 0 2
2 1 1
0 1 0
0 1 2
1 0 0
1 0 1
2 2 1
1 2 0
0 0 0
1 2 1
10 3
3 0 2
3 2 4
0 4 1
4 1 1
3 2 1
3 4 3
3 1 4
2 1 4
1 3 1
3 1 0
10 3
0 0 1
0 1 1
1 1 2
1 2 0
2 2 2
0 2 2
2 0 0
1 0 2
0 1 0
1 0 0
10 3
4 2 0
3 4 3
1 0 0
1 2 3
0 2 4
3 1 0
3 4 0
4 2 1
1 4 3
4 3 4
10 3
0 2 2
0 1 2
2 1 1
2 2 0
0 0 1
0 0 0
1 1 0
1 1 2
2 0 1
1 0 0
10 4
1 3 2
0 2 2
1 3 3
2 1 2
1 0 1
3 1 1
2 0 3
3 2 0
1 3 0
1 2 2
10 4
1 0 0
5 4 3
1 4 5
4 4 1
2 3 3
4 2 0
5 1 0
2 2 5
5 1 3
4 0 0
10 4
2 1 0
0 1 0
2 0 2
2 2 1
0 1 1
2 1 2
0 0 0
2 0 1
0 2 1
0 0 2
10 2
2 1 2
2 1 1
0 2 2
0 0 0
2 0 0
0 0 2
0 0 1
2 2 1
0 2 1
1 0 1
10 5
2 1 0
2 1 2
3 3 3
3 3 2
3 1 1
1 0 2
1 1 2
3 3 1
2 0 3
3 0 2
10 9
0 5 2
5 1 0
5 0 4
4 3 1
4 0 0
4 2 3
3 2 1
3 5 0
4 3 4
3 3 5
10 4
4 0 0
4 4 2
4 0 5
4 4 4
0 0 3
0 3 3
1 4 2
0 3 2
1 4 4
4 5 0
10 8
1 2 0
5 1 1
1 4 4
5 0 0
5 5 3
5 4 5
4 3 5
5 0 1
4 5 5
0 1 4
10 8
1 1 1
0 1 1
2 0 0
1 0 1
0 0 2
2 2 2
1 2 1
0 0 0
0 1 2
1 1 0
10 8
0 0 1
3 3 1
3 1 2
0 3 0
1 2 2
1 1 2
1 0 3
1 0 2
1 3 3
0 2 0
10 2
1 0 0
1 2 2
2 2 2
2 0 2
1 2 1
0 2 1
1 0 2
2 1 2
0 0 2
2 1 0
10 6
2 2 2
0 1 2
2 2 1
0 1 1
1 0 0
1 1 0
2 0 0
1 1 1
0 2 2
0 2 0
10 2
5 4 1
1 1 1
0 3 4
5 1 0
1 3 5
2 1 4
2 2 0
4 1 1
2 0 2
1 0 2
10 5
2 3 1
3 3 1
2 1 3
1 1 1
3 3 0
3 2 1
1 2 1
3 0 3
3 2 2
0 1 2
10 3
1 1 3
0 4 2
3 0 2
2 1 3
0 1 1
1 0 4
4 0 1
1 1 2
3 2 0
0 3 2
10 7
2 3 0
1 0 3
3 2 3
3 3 2
3 0 2
0 1 3
1 2 3
3 2 0
1 1 0
0 2 2
10 9
2 0 2
2 2 1
0 2 1
2 2 2
1 0 2
2 0 0
2 0 1
0 0 2
1 2 0
0 2 2
10 6
2 2 4
1 0 0
0 2 2
4 0 4
2 1 1
4 1 0
3 1 3
1 4 0
3 4 0
3 2 0
10 2
0 2 2
2 2 1
1 1 0
2 1 1
1 1 1
1 2 1
2 1 0
1 2 2
2 2 2
0 1 1
10 7
1 3 1
3 3 0
1 1 2
2 2 3
2 3 0
3 3 2
0 0 3
3 3 1
0 0 0
2 1 0
10 3
0 1 0
2 1 0
0 0 1
1 1 1
2 2 0
0 2 0
1 2 1
1 3 0
3 3 2
1 0 2
10 8
2 3 1
3 0 3
0 1 2
0 3 1
2 1 2
0 3 2
3 1 0
2 1 3
3 1 1
2 2 1
10 7
0 1 0
0 1 2
1 1 1
1 2 0
0 0 2
2 1 1
2 2 0
1 1 2
0 2 1
1 0 2
10 6
2 2 0
0 0 3
3 3 3
0 2 0
1 4 3
1 0 3
3 3 2
0 1 1
2 4 1
4 3 0
10 3
2 2 2
0 3 3
3 4 3
2 1 1
1 4 1
4 2 0
2 4 3
2 2 1
4 3 2
1 2 1
10 7
2 2 2
1 0 1
2 0 0
1 1 0
1 0 0
2 0 2
1 0 2
0 1 2
0 2 1
2 1 1
10 4
2 3 0
3 3 0
2 0 2
3 3 3
2 0 0
2 1 1
1 1 1
0 1 0
2 2 3
3 0 1
10 7
5 3 2
3 1 3
1 4 4
3 3 4
1 3 5
5 5 4
5 1 3
1 3 2
3 5 4
4 2 3
10 8
1 4 3
0 3 5
3 2 5
4 0 4
2 4 3
0 5 3
1 0 4
3 5 4
1 2 5
2 3 0
10 8
0 2 4
0 4 1
4 2 4
1 0 1
2 2 0
1 2 4
0 4 0
4 1 3
2 0 4
1 3 3
10 4
1 4 0
0 5 3
5 2 0
3 5 0
5 1 3
0 1 4
4 3 0
2 4 0
1 5 4
0 1 1
10 5
1 2 3
4 3 5
0 5 0
2 3 0
4 2 1
5 0 3
2 0 2
5 2 2
1 2 5
5 5 0
10 9
1 2 4
3 2 3
0 0 2
0 0 1
4 2 0
1 1 4
1 4 4
3 3 2
0 4 4
2 3 4
10 7
3 3 1
3 4 2
3 0 1
4 0 4
2 4 4
0 5 1
4 5 1
4 2 3
5 0 0
0 4 1
10 9
1 1 1
2 0 2
1 0 1
0 1 1
2 2 2
0 2 2
2 2 0
2 1 1
0 2 1
2 0 1
10 8
0 0 2
1 0 0
2 0 1
0 1 2
1 1 1
1 0 1
1 2 1
0 0 0
0 1 1
0 0 1
10 6
0 2 1
2 3 2
2 1 0
0 1 3
3 0 2
1 3 1
2 2 3
1 0 2
3 3 3
2 2 2
10 8
1 3 2
3 0 0
2 1 3
2 0 0
3 0 2
3 3 0
1 3 0
1 2 1
1 2 2
0 2 0
10 6
0 2 2
2 2 2
0 1 1
2 2 0
0 2 1
0 2 0
1 2 0
1 0 0
2 0 2
1 1 2
10 3
2 0 1
0 2 0
1 0 0
0 2 2
0 0 0
2 1 1
1 1 1
0 0 1
1 0 1
1 0 2
10 6
3 0 2
1 0 4
1 2 4
1 1 0
3 1 2
3 3 2
0 4 2
2 2 2
0 2 4
0 1 0
10 5
0 0 1
0 1 1
1 1 3
3 3 0
0 3 2
3 0 1
3 0 3
1 3 3
0 3 1
2 3 3
10 3
2 3 3
1 1 2
2 1 0
2 3 2
3 1 0
0 0 2
1 2 3
1 0 1
1 0 3
3 3 1
10 9
2 2 3
1 3 3
1 4 4
2 3 1
1 4 3
4 0 0
0 1 3
3 2 3
3 0 2
3 1 2
10 5
3 4 3
2 0 1
4 2 0
1 4 3
2 0 0
4 0 1
1 4 4
2 3 1
4 1 2
2 3 2
10 5
0 1 3
2 2 2
3 2 1
2 2 1
1 2 3
2 0 1
2 2 0
1 3 1
3 0 1
3 2 0
10 3
2 0 2
1 2 2
1 1 0
0 2 0
1 2 1
0 1 0
0 0 2
1 0 2
2 2 1
0 0 1
10 6
4 3 5
4 5 4
1 3 5
5 1 1
3 5 3
0 3 4
2 3 1
5 2 2
1 1 5
2 5 4
10 6
0 4 1
2 3 4
3 4 0
1 4 1
0 0 2
2 3 1
0 0 4
1 0 3
3 4 2
3 4 3
10 9
2 3 4
1 3 1
1 0 1
2 1 1
0 2 3
1 3 0
0 2 2
0 0 4
2 4 0
2 1 2
10 2
5 2 2
5 3 4
0 0 0
2 0 1
1 3 2
5 0 1
1 1 1
4 0 2
2 2 0
2 0 4
10 8
0 0 3
0 3 1
0 4 4
2 3 0
1 3 4
2 0 4
1 1 0
4 0 2
0 4 0
3 1 3
10 4
3 0 2
1 0 3
0 3 0
3 0 0
3 2 2
2 0 3
2 3 2
1 1 2
0 1 0
2 1 1
10 4
3 2 2
1 2 4
3 4 4
4 1 4
0 0 4
1 2 0
0 1 1
0 0 1
1 4 1
2 4 1
10 8
2 4 3
2 2 1
3 1 2
4 0 1
0 0 1
3 1 3
3 2 3
1 3 0
2 3 1
1 0 0
10 6
0 2 4
0 2 2
0 3 1
3 0 3
2 3 2
0 1 3
3 0 2
3 1 3
2 3 0
2 4 1
10 8
2 0 1
3 3 3
2 2 0
2 3 3
2 1 3
1 2 1
1 3 2
3 0 0
0 2 3
1 1 2
10 8
2 3 2
3 2 0
1 2 2
0 0 3
3 3 2
0 0 2
2 3 0
1 2 0
2 3 3
3 0 1
10 5
1 1 0
0 0 0
1 1 1
1 2 0
1 0 0
2 1 2
1 2 2
2 2 1
2 2 2
0 2 1
10 5
5 5 1
5 2 3
4 0 3
4 0 0
5 5 3
5 4 2
1 4 2
0 3 4
5 2 0
3 0 1
10 9
0 2 2
2 0 1
0 1 1
1 1 3
2 2 2
1 0 2
2 3 3
2 0 0
0 0 3
3 3 0
10 8
3 1 0
3 1 3
3 0 0
3 0 1
3 0 2
2 2 0
2 2 3
1 1 2
2 3 2
3 3 0
10 7
3 0 0
3 1 3
3 0 3
4 1 4
1 2 0
2 2 3
4 4 0
0 1 3
4 0 3
2 0 4
10 9
2 1 0
0 2 0
0 0 2
1 2 0
0 1 0
1 1 1
2 2 0
0 0 1
0 0 0
1 0 0
10 6
0 5 4
4 1 3
1 4 5
1 0 2
1 1 2
4 0 0
4 1 5
3 1 4
3 2 0
1 5 5
10 2
0 2 1
2 0 2
1 0 2
0 2 0
2 1 2
0 1 2
2 2 0
0 0 0
2 1 0
0 1 0
10 8
0 4 0
0 0 0
2 3 0
2 0 4
4 1 1
4 4 2
1 3 3
1 4 2
4 2 0
3 2 0
10 5
0 5 2
4 5 3
5 5 3
2 0 0
3 5 2
1 4 3
4 4 2
3 3 3
2 3 3
4 4 1
10 6
3 4 5
2 5 1
2 2 4
0 1 2
2 3 1
2 0 2
5 0 5
3 5 4
5 5 2
3 1 5
10 6
2 1 2
2 0 0
0 2 0
2 0 1
1 0 0
0 2 1
0 0 0
2 2 0
2 1 0
1 0 1
10 7
2 2 1
1 2 2
0 0 2
0 2 1
2 1 1
2 1 2
1 2 1
0 1 1
2 0 0
0 2 0
10 2
3 0 1
1 0 2
2 3 0
1 0 3
1 2 0
1 1 0
0 0 0
2 2 2
3 0 3
1 3 3
10 2
2 1 2
1 1 0
1 0 2
2 1 0
0 2 1
2 0 0
1 1 2
0 1 2
1 2 0
0 0 0
10 9
1 1 2
1 1 0
0 0 2
0 2 2
2 2 1
0 2 0
2 1 0
2 1 1
1 2 2
2 1 2
10 2
3 0 1
1 0 0
1 2 0
3 2 3
3 2 2
2 0 2
2 0 1
1 0 1
0 1 2
0 1 1
10 2
1 4 3
0 1 0
1 3 0
1 2 0
2 0 4
3 0 1
3 2 0
1 1 3
4 1 4
4 3 2
10 6
0 4 3
4 3 2
3 0 0
4 1 3
4 2 3
2 3 2
3 4 1
3 1 4
2 4 1
0 4 2
10 2
0 1 2
2 2 0
2 1 3
0 3 3
2 3 3
0 2 1
0 1 0
3 3 0
0 3 1
1 0 0
10 2
3 4 4
5 0 1
4 4 4
4 0 3
5 5 0
2 2 1
5 4 1
5 3 3
0 0 5
1 3 0
10 2
5 5 4
4 1 1
2 4 4
2 4 2
1 5 2
1 3 0
1 4 1
3 4 1
3 5 2
5 1 4
10 2
2 2 2
4 3 2
2 2 1
0 2 3
2 0 4
0 3 3
4 4 4
4 0 4
2 2 3
2 1 2
10 6
0 1 3
1 4 2
4 2 3
5 5 4
0 3 2
5 2 1
2 3 0
3 4 3
0 5 3
3 3 1
10 8
3 4 1
1 4 4
2 0 4
4 0 4
5 0 0
1 3 1
4 3 2
1 5 5
5 2 5
1 1 0
10 5
2 1 1
2 0 2
0 1 0
1 1 0
1 1 1
0 2 1
0 2 0
2 0 0
1 2 1
0 0 0
10 7
4 3 3
0 1 2
4 4 0
1 2 4
1 3 4
4 3 0
1 4 1
1 3 3
3 4 2
3 2 1
10 3
1 0 1
1 2 1
2 2 0
0 0 0
1 1 0
0 0 1
0 1 1
2 0 0
2 1 1
0 2 1
10 7
2 2 5
2 0 5
2 4 4
4 0 2
5 1 4
5 2 3
1 2 4
4 3 0
4 1 1
1 2 0
10 3
1 0 1
1 1 0
2 2 0
0 2 2
2 2 2
0 1 0
0 2 0
1 2 2
2 1 0
2 0 2
10 2
2 4 1
3 2 3
2 1 4
3 3 4
0 4 3
0 1 1
1 2 0
2 2 3
4 0 0
1 0 1
10 9
5 2 4
5 4 1
2 2 5
0 3 4
0 4 3
0 4 5
5 0 1
4 1 3
2 3 2
2 5 2
10 4
2 2 5
2 0 0
0 0 2
0 5 1
3 3 2
5 3 0
5 0 0
1 0 0
2 2 2
5 5 1
10 7
2 2 0
0 1 0
1 1 3
0 0 2
3 3 2
1 0 0
1 1 2
2 1 2
1 2 1
3 1 2
10 9
1 2 2
3 3 1
2 0 1
3 2 3
0 2 0
3 1 2
3 1 0
0 1 0
3 2 2
2 2 2
10 2
1 1 0
2 2 2
2 0 0
1 2 1
2 1 1
0 0 1
0 0 2
1 1 1
0 0 0
1 0 0
10 9
1 2 1
2 1 1
0 1 1
1 0 1
2 0 1
2 0 0
1 1 2
2 0 2
1 1 1
0 2 0
10 8
4 1 0
2 4 4
3 1 3
4 3 4
3 2 0
4 3 1
4 1 1
4 0 1
3 2 1
0 3 3
10 8
2 0 0
1 0 2
1 3 2
1 3 3
3 3 1
0 1 4
1 0 1
0 0 2
2 0 1
0 2 4
10 2
1 2 0
1 2 1
2 2 0
2 2 2
2 0 2
1 1 2
0 0 1
0 1 2
0 2 2
2 1 1
10 3
1 4 2
2 0 4
1 2 3
3 1 3
1 4 1
3 4 3
0 2 2
2 2 0
1 4 3
0 2 4
10 9
0 1 2
3 2 0
1 0 3
1 3 3
3 3 3
3 2 2
0 2 2
0 2 1
2 1 1
1 3 1
10 7
1 0 3
0 1 2
3 0 2
2 3 0
1 1 0
0 3 3
0 2 0
0 3 1
2 2 0
3 3 0
10 3
3 3 3
1 3 0
2 4 3
0 4 4
0 0 0
1 2 3
4 4 4
2 4 2
2 1 0
3 1 3
10 7
2 1 2
0 0 1
1 2 2
1 2 0
0 2 0
2 2 2
1 0 1
2 2 1
2 1 1
1 0 0
10 4
0 2 5
4 2 1
3 3 4
5 2 1
5 2 4
3 5 4
1 4 5
5 1 0
0 2 1
2 1 1
10 4
2 0 1
1 2 1
0 2 2
0 2 0
0 1 1
2 1 0
0 0 2
1 1 1
2 0 0
1 0 0
10 6
0 3 3
5 5 2
5 0 4
2 1 5
4 0 1
5 3 5
3 4 3
4 2 0
2 0 1
5 3 0
10 5
1 0 0
1 2 0
0 1 1
1 0 1
0 0 2
1 2 1
2 0 2
1 1 0
1 2 2
0 0 1
10 8
1 2 2
3 1 2
0 2 3
3 1 1
3 0 2
1 3 3
1 0 1
1 2 0
2 0 1
0 0 0
10 4
3 3 2
2 2 1
1 2 1
1 0 2
0 2 1
3 4 2
1 4 1
0 2 4
2 3 1
0 4 0
10 7
0 3 1
1 1 1
3 2 4
2 1 3
1 0 2
3 0 3
0 4 3
0 1 3
1 0 4
3 1 3
10 2
3 0 1
3 2 3
1 3 1
3 1 1
1 1 1
3 3 0
0 2 2
3 0 2
3 2 2
3 1 3
10 4
2 3 2
3 0 2
3 0 3
0 0 1
1 3 2
0 1 2
3 1 2
1 3 1
2 2 2
2 1 1
10 7
0 0 0
1 0 3
3 1 4
2 1 4
2 1 3
3 0 1
3 2 3
0 0 4
1 2 1
3 4 2
10 9
1 1 2
0 1 1
2 2 2
2 0 0
2 1 0
1 0 1
0 0 0
1 2 2
1 1 0
2 2 0
10 5
0 1 1
0 0 1
1 3 2
0 4 0
1 2 3
4 2 0
1 4 3
3 0 3
4 2 4
2 0 4
10 8
2 2 1
2 2 2
2 1 0
2 1 1
0 2 2
1 1 2
0 0 2
1 1 0
1 1 1
0 2 1
10 6
3 3 2
2 1 4
3 1 4
0 2 4
3 3 1
4 2 4
1 3 2
2 2 0
2 3 0
0 1 2
10 6
2 0 0
0 2 0
1 1 0
2 1 2
2 0 2
0 2 1
1 1 1
1 2 2
0 0 2
0 1 0
10 6
3 3 0
2 1 4
2 4 2
2 1 2
3 2 0
4 0 2
4 3 4
3 2 3
0 2 3
3 0 3
10 5
2 0 3
0 1 0
1 4 4
0 3 1
0 2 3
3 4 3
2 3 2
2 2 2
1 3 1
2 4 3
10 9
2 2 0
4 2 2
4 3 0
3 3 0
4 1 2
0 1 1
4 0 0
1 0 2
2 3 1
3 0 2
10 9
2 2 1
4 3 3
1 3 1
4 0 3
4 3 4
1 4 0
4 0 2
2 0 3
3 2 0
0 0 2
10 8
0 0 2
0 1 0
3 1 1
3 2 2
0 2 0
0 0 1
3 3 3
0 0 0
2 3 0
1 1 2
10 5
0 1 3
3 0 2
1 3 1
4 3 3
3 1 2
3 0 3
2 0 2
2 3 1
3 4 1
3 0 4
10 7
0 2 3
2 0 1
5 4 2
4 1 2
5 1 3
0 1 5
5 0 5
4 1 5
3 2 0
4 4 5
10 9
5 1 3
2 2 0
5 3 5
2 5 1
0 2 2
5 2 4
3 5 4
3 2 5
3 1 5
0 1 4
10 4
0 2 0
2 0 1
1 2 1
1 1 3
3 0 3
3 1 3
0 0 2
3 3 3
1 3 1
2 2 1
10 9
0 2 0
0 3 0
4 0 0
4 4 3
0 1 2
4 4 2
4 0 4
3 0 4
2 2 3
0 3 2
10 4
2 3 0
2 5 4
5 5 2
5 5 1
1 0 0
3 1 5
0 4 1
5 1 2
0 3 0
4 5 0
10 5
4 4 3
0 2 0
4 4 4
1 1 4
2 4 1
3 0 1
1 2 4
2 0 2
3 2 2
3 1 0
10 7
0 2 3
1 0 1
0 1 4
2 2 2
4 4 0
3 2 4
1 1 3
2 4 2
0 1 2
0 2 0
10 5
2 0 1
0 2 0
1 0 2
0 1 1
1 2 1
2 2 2
2 1 1
0 0 1
0 0 0
1 1 0
10 8
1 2 3
5 1 1
3 4 0
4 5 5
5 1 4
0 3 3
3 5 5
2 2 5
4 4 3
0 1 1
10 7
0 3 2
1 1 1
3 0 0
1 2 4
2 2 3
4 1 4
4 0 4
3 1 3
3 3 0
1 2 0
10 6
5 1 3
2 4 1
3 4 2
4 1 0
0 1 3
3 1 1
4 0 2
4 4 5
2 3 1
5 3 5
10 5
0 1 0
2 1 1
2 1 2
0 3 2
3 1 2
1 2 1
3 3 3
1 2 3
0 1 1
0 2 1
10 9
4 4 1
2 3 4
3 3 1
0 4 1
0 1 2
3 1 1
0 4 2
4 0 3
4 4 0
4 1 2
10 5
1 0 1
1 2 1
2 2 1
0 0 0
1 2 2
0 0 1
0 0 2
2 2 2
2 1 1
2 0 0
10 5
2 4 2
4 3 4
1 2 2
0 0 2
3 3 2
3 4 1
4 3 0
0 1 2
4 0 3
1 3 0
10 9
3 0 0
4 2 0
0 0 0
1 2 4
0 1 4
1 1 4
0 1 0
3 3 1
0 2 3
3 4 0
10 5
2 4 2
1 1 0
3 5 3
3 2 0
1 3 0
4 3 5
1 0 4
2 4 5
3 0 5
5 5 4
10 4
3 2 2
2 3 1
3 3 1
2 0 3
1 0 0
2 1 1
1 0 1
3 3 0
3 2 0
1 1 2
10 3
2 2 1
0 0 1
2 2 0
1 0 0
0 0 2
1 0 2
0 2 0
0 1 0
2 0 1
1 1 1
10 2
1 0 3
1 5 2
4 0 1
5 0 0
1 5 1
0 4 4
0 4 1
2 1 3
3 3 0
5 1 2
10 4
4 1 1
2 4 0
1 3 4
0 1 0
1 0 1
0 4 1
0 4 3
4 2 2
4 2 3
2 3 2
10 8
1 0 1
1 0 3
0 1 0
2 0 3
0 3 1
1 3 2
0 1 2
1 2 0
1 3 0
0 0 2
10 5
0 1 2
0 0 2
0 3 3
3 1 0
4 4 0
4 3 0
4 1 2
2 4 1
4 2 3
3 4 0
10 7
2 0 1
1 0 1
0 1 1
1 2 2
0 2 1
2 0 2
2 2 2
2 1 1
0 2 0
1 1 1
10 9
2 2 4
3 4 2
1 1 3
1 3 3
1 4 3
4 1 0
2 3 4
5 1 5
0 4 2
1 5 2
10 2
0 0 2
3 0 2
3 3 1
1 2 1
3 1 1
2 0 1
2 2 0
2 2 1
3 2 1
2 3 2
10 3
3 4 3
4 0 2
4 1 0
0 3 2
4 0 0
0 2 1
4 1 3
1 4 2
0 4 0
3 4 1
10 6
1 0 2
0 0 0
2 1 1
2 0 2
2 2 2
0 1 2
2 2 0
1 0 0
0 0 1
1 0 1
10 8
3 3 1
1 3 1
3 2 1
2 1 0
1 0 1
2 3 2
1 3 3
3 3 3
1 1 2
2 0 3
10 6
2 2 0
0 1 1
2 1 1
0 0 0
1 0 2
0 0 1
2 1 0
0 2 1
0 1 0
1 2 0
10 8
2 2 2
0 5 4
0 0 5
1 4 1
2 1 0
5 4 1
1 3 4
1 3 5
2 4 3
2 1 4
10 4
1 2 0
3 0 3
2 3 3
1 3 0
0 1 2
2 0 3
2 3 0
0 0 3
1 1 0
3 3 2
10 8
0 0 1
2 2 1
1 0 1
2 0 2
0 1 0
1 2 2
0 0 0
0 0 2
0 1 2
2 0 0
10 6
4 1 1
4 0 5
1 1 3
4 0 1
3 0 2
5 4 0
2 2 5
1 2 2
0 4 4
0 0 2
10 6
4 0 2
2 5 5
2 1 4
4 2 5
0 0 4
3 4 3
4 2 0
5 5 5
4 1 4
4 1 1
10 3
4 1 1
3 2 0
3 3 0
0 2 4
2 4 1
1 1 1
0 3 1
0 0 1
2 3 2
1 3 3
10 3
4 4 0
1 5 1
0 5 5
1 3 1
1 4 2
0 2 0
4 1 0
4 4 2
3 3 4
1 0 4
10 4
0 1 0
0 1 2
2 2 2
1 2 3
1 0 0
1 2 2
1 3 3
3 0 3
1 1 0
2 2 0
10 6
0 1 2
0 0 0
2 1 2
1 0 0
0 1 0
2 2 0
0 2 0
1 1 0
1 2 2
1 1 1
10 3
3 0 1
0 1 3
0 2 1
2 0 2
1 0 3
3 0 2
1 1 0
0 1 1
2 2 1
2 2 0
10 3
1 3 2
1 3 1
0 2 0
0 3 3
0 2 2
3 0 3
2 2 3
2 0 2
2 3 0
0 1 1
10 2
3 3 3
4 2 1
3 0 2
4 1 4
1 0 2
4 1 2
0 0 1
1 0 1
3 2 4
1 1 3
10 3
0 1 0
0 0 0
0 2 0
1 2 2
1 1 1
1 0 2
0 2 2
0 0 2
1 2 0
0 2 1
10 5
1 3 3
1 3 0
5 2 1
2 3 5
2 5 2
3 4 3
5 5 2
2 4 2
2 3 3
5 0 5
10 7
2 2 4
2 4 4
2 4 1
3 1 2
2 0 4
2 3 2
1 2 0
3 4 0
2 4 3
1 3 0
10 7
3 5 3
4 2 2
3 2 2
4 0 0
3 0 5
2 3 0
1 5 0
3 4 4
4 4 1
2 2 4
10 4
3 1 3
0 3 3
1 1 1
1 2 2
1 1 0
1 2 1
2 0 3
2 0 1
2 3 0
3 2 1
10 6
2 3 4
2 3 0
3 2 5
3 4 4
3 5 1
3 4 2
0 4 4
0 4 1
0 3 3
0 5 2
10 2
0 4 3
1 3 0
3 1 1
0 0 1
1 4 1
0 2 0
2 4 1
0 1 0
0 4 2
0 0 2
10 2
0 2 0
1 1 1
0 0 2
2 0 0
0 1 1
1 0 1
2 1 0
1 0 0
0 0 0
2 1 1
10 7
2 0 3
1 1 1
3 2 2
2 2 1
1 3 1
3 0 1
0 1 1
2 3 0
0 2 2
3 3 3
10 6
0 1 2
2 0 1
1 0 1
0 2 2
2 2 1
0 1 1
0 2 1
1 2 2
0 2 0
2 1 1
10 6
2 1 4
1 3 3
2 1 0
0 2 4
1 0 4
0 1 0
4 4 0
1 3 2
4 4 1
2 2 0
10 7
1 1 0
1 2 2
2 2 1
1 2 1
1 0 1
0 2 1
2 2 0
2 0 0
1 1 2
2 2 2
10 4
0 3 1
2 1 1
0 2 1
1 3 0
3 0 1
1 0 0
3 2 2
0 2 3
0 0 2
1 1 3
10 6
1 2 2
1 0 0
1 1 2
2 1 1
2 0 1
2 1 0
1 0 2
0 0 0
2 2 0
0 0 1
10 2
1 3 1
2 1 2
2 0 2
1 0 0
1 2 1
1 3 0
2 3 1
1 1 0
2 0 3
3 3 3
10 3
5 5 1
2 2 5
2 5 4
1 5 2
4 2 3
3 2 0
2 5 5
5 2 4
5 5 0
0 2 5
10 8
3 1 0
0 0 1
4 0 3
3 0 1
0 3 0
1 2 4
2 2 3
2 0 0
1 0 1
1 3 3
10 8
1 5 0
3 2 4
3 3 0
4 1 4
1 4 4
5 2 4
4 2 3
4 3 2
0 2 4
4 1 5
10 8
2 0 3
5 1 1
3 3 1
4 2 3
4 4 3
1 4 4
1 1 0
5 4 2
0 4 2
2 4 0
10 4
1 1 1
2 1 3
0 1 3
1 0 3
3 2 2
0 1 1
2 0 0
3 1 1
3 0 2
3 2 3
10 2
4 4 2
2 0 0
4 4 4
3 2 1
1 4 1
2 2 1
0 3 4
4 0 2
4 1 1
3 3 3
10 6
2 3 3
2 0 0
3 3 4
2 2 4
2 4 1
3 4 1
3 1 1
4 3 0
2 4 2
4 4 0
10 5
5 2 0
0 0 2
4 5 3
2 0 2
2 4 4
2 0 5
0 1 1
3 1 3
3 4 1
2 0 3
10 7
2 0 3
5 2 0
2 5 4
0 3 2
1 3 5
2 3 0
1 4 1
3 5 1
4 3 0
0 1 3
10 8
1 4 3
3 0 0
2 3 0
0 3 4
0 2 3
1 1 3
3 3 0
3 4 4
1 3 0
3 0 1
10 3
2 2 2
2 2 0
2 0 1
0 1 2
0 2 0
0 1 0
1 0 1
0 2 2
2 0 0
1 0 2
10 3
2 0 1
3 3 1
3 2 1
2 2 0
0 2 2
0 0 2
2 2 2
1 1 0
3 2 2
3 1 0
10 6
3 1 1
0 1 1
3 1 3
3 2 0
3 3 1
0 3 3
1 3 1
2 0 0
2 0 1
1 1 0
10 2
3 3 4
4 4 3
0 3 4
1 0 3
2 3 4
2 4 0
0 4 0
3 4 1
4 0 4
0 0 4
10 7
0 2 1
0 1 2
2 0 1
2 1 2
0 1 1
2 1 0
0 0 0
2 1 1
2 2 1
0 2 2
10 2
4 0 0
2 2 1
1 4 0
2 0 3
1 3 0
0 2 2
0 2 0
3 2 0
1 1 1
3 4 3
10 3
3 3 1
0 4 1
4 2 2
3 4 1
3 3 0
1 3 0
3 1 0
1 3 1
4 4 4
0 0 0
10 3
4 2 0
1 3 1
1 2 2
1 5 1
1 2 0
5 5 2
3 1 1
3 1 0
1 2 4
0 2 0
10 5
3 0 1
1 0 0
1 2 1
2 3 1
2 3 2
1 1 3
1 3 2
0 1 1
1 0 3
0 0 3
10 8
2 3 2
2 2 2
1 2 3
1 0 1
2 2 0
1 1 3
0 3 1
2 0 0
1 2 2
0 1 2
10 4
2 1 2
0 0 3
1 5 3
1 2 0
4 0 3
3 0 4
0 2 0
4 1 5
0 5 1
3 4 0
10 9
1 2 3
4 1 3
4 4 4
3 1 1
3 0 2
4 0 2
0 3 2
1 4 0
1 1 2
4 1 4
10 2
2 3 1
1 0 2
0 0 0
0 0 1
0 1 1
0 2 1
0 3 2
3 1 1
3 3 2
1 2 1
10 5
0 0 1
1 2 2
2 1 0
1 1 0
2 0 1
1 0 2
0 1 1
2 2 0
1 0 0
0 2 2
10 9
3 3 0
2 1 3
1 4 1
1 4 2
1 2 2
3 3 4
1 4 4
0 4 0
0 0 1
3 0 1
10 4
3 0 4
2 0 0
0 4 3
0 4 0
3 4 2
0 0 4
1 0 0
2 0 2
4 1 3
1 0 2
10 2
2 2 0
0 0 2
2 1 1
2 2 2
2 1 2
1 0 1
2 0 2
2 2 1
0 0 1
1 2 0
10 7
0 2 1
1 1 2
2 2 0
1 1 0
2 1 2
2 2 2
2 2 1
1 0 2
2 0 1
1 2 0
10 3
2 3 2
2 0 0
3 0 3
0 2 3
2 1 0
0 1 0
1 1 2
1 0 0
0 0 0
0 0 3
10 5
3 0 1
1 1 2
0 3 3
3 1 2
0 3 0
3 0 3
0 2 4
2 2 3
1 3 0
4 3 1
10 2
3 3 3
0 1 0
0 0 2
1 1 0
3 1 2
1 2 3
2 2 3
2 1 3
2 0 3
1 3 2
10 6
0 0 2
2 0 0
0 1 2
1 2 0
1 0 2
1 1 1
2 2 2
1 2 2
1 1 2
1 2 1
10 7
3 3 2
0 2 2
3 0 5
4 5 1
4 0 1
5 2 4
1 1 0
5 5 5
2 2 4
4 3 2
10 8
2 3 4
4 3 3
1 1 0
2 0 2
3 0 4
3 0 3
4 4 2
3 4 3
1 3 0
4 4 3
10 7
4 4 0
0 2 2
4 2 2
2 4 1
1 3 4
1 2 2
0 3 3
2 2 4
4 3 3
4 3 2
10 7
0 2 0
1 4 3
5 5 3
5 2 3
4 3 4
5 1 2
5 3 1
1 3 3
2 3 3
4 2 2
10 9
0 1 2
1 2 1
5 3 3
1 4 3
3 4 5
3 2 1
1 5 4
3 2 5
3 5 4
0 2 5
10 4
3 0 4
1 2 0
2 3 5
3 0 3
3 0 5
3 0 2
0 1 2
5 3 3
3 4 4
0 1 4
10 6
1 3 0
4 0 4
4 0 0
4 4 0
2 0 3
1 2 3
1 5 1
0 5 3
4 1 4
5 3 3
10 5
5 2 3
1 5 4
4 3 4
5 3 3
2 5 3
3 2 1
1 3 0
5 4 3
5 0 1
1 0 3
10 9
0 0 0
2 1 2
3 2 2
2 2 0
1 3 2
2 0 0
2 2 3
2 0 3
2 1 3
1 0 1
10 3
3 3 2
5 4 3
0 4 1
5 2 2
4 1 0
3 3 0
5 1 5
1 4 3
1 1 5
4 4 4
10 8
0 1 1
2 0 0
2 2 2
1 2 0
1 2 1
1 2 2
0 1 2
0 0 2
0 0 0
1 0 1
10 5
1 1 0
2 1 1
2 2 0
2 1 2
2 0 0
2 2 2
0 2 2
0 0 0
1 2 0
0 2 0
10 5
0 0 0
0 1 1
2 3 3
3 0 2
5 3 1
2 3 2
5 0 2
3 3 4
1 0 4
0 3 4
10 9
1 0 1
2 2 2
0 1 0
2 0 1
1 0 0
2 1 1
0 1 2
1 2 0
0 2 0
2 1 2
10 9
0 1 0
2 3 2
1 3 3
3 2 3
2 3 0
3 1 0
3 2 1
0 1 3
2 0 1
3 1 1
10 7
2 1 0
0 2 1
1 1 1
2 2 2
1 2 2
2 1 1
1 1 0
1 0 0
2 1 2
2 2 1
10 4
0 1 0
3 1 5
5 5 1
2 5 1
1 4 1
4 5 2
3 2 3
2 1 0
3 0 4
2 4 3
10 6
2 1 0
4 1 1
2 1 5
4 3 5
0 0 0
4 4 1
3 0 5
0 3 1
5 0 0
0 3 5
10 2
5 0 4
5 2 5
2 2 3
0 2 3
5 3 4
2 2 2
0 4 3
1 0 0
3 2 0
3 5 2
10 7
0 0 3
0 1 1
3 2 0
0 1 2
2 2 1
2 0 2
3 2 3
1 3 2
1 1 0
2 0 0
10 7
3 0 3
1 0 3
2 1 1
1 1 1
0 2 0
0 3 2
3 0 0
3 1 3
0 2 1
3 2 3
10 3
2 4 0
4 0 4
3 4 1
0 1 3
3 2 3
2 1 4
0 3 4
2 2 4
4 4 3
0 3 2
10 6
4 3 3
2 0 3
2 2 1
3 1 4
1 1 3
2 0 1
3 3 1
0 1 4
4 1 4
0 1 1
10 4
2 1 1
0 3 3
1 3 1
3 4 1
3 1 2
2 3 2
2 4 1
0 0 0
1 1 4
0 0 4
10 7
1 1 1
2 1 1
2 1 0
0 1 2
2 0 1
0 1 1
1 0 2
1 0 0
0 2 1
0 2 0
10 6
0 2 1
2 0 2
1 1 0
0 1 0
0 2 0
2 1 2
0 0 1
0 1 1
0 2 2
2 1 0
10 4
2 1 2
0 4 2
2 0 2
1 2 2
4 4 3
2 4 0
1 4 4
4 4 1
3 2 2
1 4 0
10 7
0 0 1
1 2 3
1 3 3
2 0 3
1 0 0
2 2 0
2 1 0
2 0 2
0 0 3
0 1 3
10 3
5 0 3
2 0 0
0 1 1
5 1 3
5 3 5
4 4 1
5 3 0
1 5 0
1 3 4
2 3 2
10 5
0 1 2
3 0 0
3 3 3
2 1 1
0 2 3
3 2 3
3 1 0
2 2 0
2 2 3
1 3 2
10 8
0 0 2
2 2 2
1 2 0
2 2 1
0 2 0
1 0 0
0 1 1
2 1 1
0 2 2
1 0 2
10 9
3 0 5
4 0 2
4 4 3
0 4 0
5 2 5
0 5 3
3 3 0
2 0 0
3 1 4
5 0 5
10 9
2 4 4
0 3 4
3 4 1
4 3 1
4 3 2
2 3 3
4 1 4
1 4 1
4 3 3
0 3 0
10 9
1 2 2
2 2 3
1 3 2
2 3 1
1 2 0
3 2 1
1 1 3
2 2 2
1 3 0
1 0 1
10 4
2 1 1
1 2 0
0 1 2
2 0 1
1 0 1
0 0 1
1 0 2
0 2 2
2 2 0
0 2 1
10 3
2 1 2
0 1 2
0 0 1
1 0 0
2 0 0
0 2 1
2 0 1
1 2 2
0 1 0
2 0 2
10 9
3 3 1
0 1 3
1 3 3
3 2 0
1 3 1
2 1 2
3 2 2
3 0 0
3 0 2
0 0 2
10 6
1 0 1
2 2 0
2 0 0
0 1 1
2 2 2
1 2 2
2 0 1
0 1 2
1 1 0
0 2 1
10 3
1 2 0
2 2 1
2 0 2
0 1 4
1 0 0
4 1 0
3 4 0
3 4 1
3 2 1
2 3 0
10 8
1 2 1
1 0 1
1 0 2
1 0 0
1 1 2
2 0 0
0 0 0
0 1 1
0 0 1
2 2 0
10 2
0 4 3
4 2 2
3 2 3
0 0 2
3 3 0
0 2 2
3 1 4
2 3 3
3 4 1
3 3 3
10 4
3 2 1
0 2 2
0 2 1
3 3 2
0 1 2
1 0 1
1 0 3
0 3 2
0 3 1
3 3 1
10 7
1 5 4
2 4 2
5 4 2
2 2 5
0 4 3
5 1 4
4 5 0
5 3 2
5 4 4
2 4 3
10 5
2 1 1
1 0 1
0 2 0
0 1 2
2 2 1
0 1 1
2 2 0
2 0 2
1 2 1
0 2 1
10 9
1 0 2
0 2 3
3 4 2
2 3 3
1 0 1
3 3 0
4 0 0
3 2 3
4 4 1
2 1 0
10 3
3 0 0
0 1 1
2 1 0
0 1 3
2 3 1
0 3 2
1 0 3
0 3 3
3 0 1
2 1 2
10 4
1 2 3
1 3 1
0 2 3
1 2 0
2 0 1
3 2 3
2 3 1
2 0 3
1 3 3
0 1 3
10 7
1 1 1
1 2 1
2 1 0
0 2 2
1 2 0
0 0 2
2 0 1
0 0 1
1 0 2
2 2 0
10 8
1 1 2
0 0 1
0 0 0
1 1 0
0 1 1
0 1 0
1 1 1
2 2 0
1 0 2
0 0 2
10 4
0 1 2
1 0 0
1 1 2
1 1 0
0 0 1
0 1 1
1 0 1
2 2 2
1 2 2
0 2 1
10 6
3 0 2
1 0 1
1 0 2
3 0 3
2 0 2
3 2 2
2 2 1
1 0 3
3 1 1
0 2 3
10 5
5 5 3
1 4 4
5 3 4
5 2 0
1 2 0
0 5 3
1 3 1
1 1 0
4 4 3
4 5 0
10 8
2 1 3
2 3 2
0 0 0
1 0 0
0 0 1
3 3 3
1 2 1
1 2 3
1 3 0
3 2 2
10 2
1 2 1
0 3 3
1 0 2
2 3 3
1 3 1
2 1 2
0 3 1
1 1 2
3 1 2
0 0 2
10 9
1 2 0
2 0 3
2 0 2
3 3 0
2 2 1
3 2 2
0 3 0
3 1 0
0 3 1
2 1 2
10 5
2 1 4
2 2 0
4 0 2
2 4 0
2 0 4
2 3 4
1 1 0
0 4 0
2 2 4
0 4 3
10 8
1 2 2
0 1 4
0 2 2
0 3 3
3 4 2
1 1 4
2 3 1
4 2 3
3 3 2
2 1 4
10 6
0 0 0
4 4 2
4 1 0
4 2 2
3 0 4
1 0 1
0 4 1
4 4 0
1 3 4
3 2 1
10 8
2 3 4
1 3 3
5 3 5
5 0 2
4 3 5
0 0 5
1 3 1
4 5 3
3 2 3
0 4 1
10 4
2 3 0
2 2 0
1 3 3
2 0 2
1 3 1
3 3 2
4 2 2
3 3 0
2 0 1
0 3 2
10 8
2 3 0
1 2 2
0 0 0
1 2 0
2 1 2
1 2 3
1 1 3
3 3 0
3 3 3
0 0 3
10 8
2 2 1
2 2 0
0 1 2
2 1 2
1 0 1
2 1 1
1 2 0
1 0 0
2 1 0
2 0 0
10 3
3 2 1
0 2 0
2 2 2
0 0 1
3 0 0
2 0 1
0 1 3
0 2 3
0 3 1
1 1 1
10 9
0 3 1
1 0 0
1 3 0
0 0 0
0 1 2
2 0 1
1 2 1
2 0 3
3 2 3
1 1 1
10 7
3 4 2
0 1 0
0 1 2
4 0 1
2 1 0
3 0 4
0 2 1
3 1 2
2 1 1
3 4 1
10 5
1 2 2
1 0 0
2 0 1
2 0 0
1 2 0
0 0 1
1 0 2
1 0 1
0 1 1
0 1 2
10 9
1 2 2
2 1 0
0 0 0
1 0 0
2 0 0
0 1 2
2 0 2
1 2 1
0 0 1
2 1 2
10 2
1 0 4
0 0 2
0 0 3
4 4 4
4 2 1
2 2 4
0 4 3
5 0 3
5 5 0
0 5 3
10 3
2 1 4
0 4 3
1 4 2
4 3 3
4 4 4
4 1 2
1 2 0
3 3 4
3 0 2
0 3 0
10 2
3 4 2
2 2 4
1 3 2
1 2 1
3 0 3
3 2 2
4 0 4
1 3 4
0 0 3
2 0 2
10 8
0 2 1
1 0 1
2 2 0
2 0 0
0 1 0
0 1 2
2 1 1
2 2 1
1 0 2
1 2 0
10 3
0 4 2
4 3 2
3 3 2
2 4 3
4 5 1
1 5 4
4 5 3
0 0 1
5 3 5
5 2 4
10 9
1 2 2
0 0 1
0 0 2
0 1 0
1 0 2
2 1 0
0 0 0
2 0 2
2 0 0
1 1 0
10 5
2 0 0
2 1 2
0 1 3
2 1 1
0 0 0
3 1 2
3 2 0
3 2 1
3 1 0
0 3 0
10 6
1 2 0
2 2 2
1 0 2
1 0 1
0 0 0
0 2 0
1 1 2
1 2 2
0 2 2
2 2 1
10 7
1 4 1
2 1 1
2 0 0
1 2 0
4 1 4
4 0 2
4 4 4
1 2 2
2 4 2
2 0 1
10 6
2 2 2
1 0 0
2 2 1
1 2 0
0 1 2
2 1 2
1 1 1
0 1 0
0 0 1
0 2 1
10 8
1 0 3
5 2 4
5 0 4
1 4 3
1 3 4
2 4 2
3 3 0
1 5 1
4 5 4
3 0 3
10 7
2 3 4
3 4 3
2 2 0
4 2 3
3 3 1
4 3 4
3 2 1
3 0 4
4 1 4
4 2 4
10 4
3 2 1
2 0 3
1 1 2
2 0 0
1 1 3
2 3 0
0 2 1
0 1 2
0 1 0
3 0 0
10 5
0 2 0
0 1 0
0 1 2
2 1 1
1 0 2
1 2 2
2 2 2
2 0 2
0 2 1
1 0 0
10 3
4 3 1
2 1 0
2 4 2
0 1 1
3 4 4
4 0 2
2 4 0
4 4 2
1 0 3
4 2 0
10 9
0 2 2
1 0 0
2 0 1
1 2 2
1 0 1
2 0 0
1 2 1
0 2 0
2 2 0
2 1 1
10 8
1 2 2
2 1 1
0 1 2
1 2 0
1 2 1
2 2 2
2 0 0
1 1 1
2 1 2
2 0 2
10 8
0 3 2
0 4 3
4 1 4
1 0 2
3 3 1
3 1 3
2 2 2
1 2 4
4 2 4
0 3 3
10 2
4 0 2
1 1 2
5 5 0
0 3 0
0 5 2
4 4 2
2 0 0
5 3 4
1 3 2
1 4 5
10 5
2 0 1
0 2 1
2 1 0
0 1 0
2 0 2
2 1 1
2 2 1
2 1 2
1 0 2
1 2 1
10 9
3 3 1
0 0 2
0 2 2
0 2 3
1 1 3
1 3 2
2 2 1
3 2 3
3 3 0
2 2 2
10 4
1 0 2
0 1 0
0 5 5
5 3 4
3 3 0
3 5 3
4 2 2
4 3 1
5 0 5
2 3 2
10 2
0 1 1
0 0 2
0 2 0
0 2 2
1 0 2
0 2 1
2 2 2
2 0 2
0 0 0
1 0 1
10 4
1 5 0
5 5 3
4 0 1
5 1 0
5 0 1
5 5 2
5 3 3
2 5 0
1 2 3
4 2 2
10 4
1 1 1
4 4 0
3 4 3
2 4 1
2 1 4
0 3 3
4 2 1
2 2 2
0 0 4
1 1 0
10 6
2 2 0
1 1 2
2 2 2
1 2 2
2 0 2
0 2 2
0 0 1
0 2 1
1 0 0
1 2 1
10 3
4 3 3
4 2 3
2 2 1
3 3 0
3 3 4
3 4 4
3 1 0
2 1 1
1 1 3
0 0 1
10 6
1 0 1
0 0 2
0 1 2
0 2 1
1 2 1
1 1 0
2 1 0
1 0 0
0 2 0
1 1 2
10 8
2 3 3
3 4 0
2 0 3
3 0 4
3 3 4
1 1 3
3 0 3
4 2 1
0 3 0
1 1 2
10 8
3 0 0
2 1 3
3 0 1
0 3 1
1 1 0
1 0 0
3 2 0
2 3 2
3 2 3
0 2 3
10 3
0 4 2
4 0 0
2 4 4
0 0 1
1 1 4
0 2 4
2 1 0
1 0 4
4 3 2
2 2 2
10 4
3 4 1
1 5 4
3 2 3
3 3 2
2 1 0
0 5 5
0 2 5
3 1 3
5 0 0
4 3 0
10 3
1 2 2
0 1 0
2 0 0
0 2 2
2 2 0
1 1 1
0 0 2
2 1 1
0 0 1
2 2 1
10 5
2 0 0
5 4 5
0 2 5
4 1 4
4 4 5
0 5 3
4 4 1
1 4 3
0 1 5
1 0 3
10 7
4 5 1
2 3 3
5 5 5
5 3 2
5 5 3
5 4 0
0 4 0
0 0 3
4 0 3
0 1 2
10 4
2 2 1
0 1 1
0 2 2
1 2 0
1 2 1
0 1 2
1 2 2
0 1 0
0 2 1
2 1 2
10 4
4 3 3
3 2 3
0 4 4
2 0 1
0 4 3
4 2 0
1 2 3
4 3 0
0 0 3
3 4 3
10 3
0 1 0
2 2 3
0 2 2
2 0 2
3 4 3
0 4 1
0 5 0
2 4 1
5 0 0
0 5 5
10 5
5 1 1
5 5 4
1 2 5
2 0 3
0 2 2
4 4 1
3 5 2
0 3 4
1 2 3
4 0 1
10 9
4 1 2
2 2 1
1 3 0
1 0 3
3 1 0
2 2 2
1 4 3
0 4 3
0 1 1
3 3 3
10 6
4 5 4
2 2 4
5 4 1
1 2 1
5 1 0
3 0 1
2 1 4
5 4 0
2 3 5
3 1 0
10 3
0 0 0
1 1 0
0 0 2
2 1 2
2 2 1
0 1 0
0 2 0
1 1 2
2 2 2
1 2 2
10 3
3 3 1
0 2 3
3 2 2
2 1 3
3 1 2
0 3 1
2 0 2
2 1 1
2 3 2
2 1 2
10 4
1 1 1
2 2 2
1 0 0
0 0 0
1 0 1
0 1 0
0 1 2
2 0 0
0 1 1
2 1 2
10 5
4 4 4
3 0 1
1 5 1
2 4 0
3 0 5
5 4 1
0 1 2
3 3 0
0 0 3
4 4 3
10 4
3 0 1
2 1 2
0 2 0
2 2 4
4 2 1
2 3 4
3 3 3
1 2 4
0 0 1
0 1 2
10 8
0 1 1
2 2 2
1 1 0
2 1 0
0 1 2
0 0 2
0 2 1
1 0 2
0 2 0
1 1 1
10 6
0 3 3
0 1 2
1 0 0
1 1 2
3 0 1
3 1 0
2 1 0
2 2 2
2 2 1
1 1 3
10 2
0 2 2
0 0 2
0 2 1
1 0 2
1 2 1
2 1 0
1 0 0
1 1 1
2 1 2
0 0 0
10 3
1 1 2
2 1 2
2 2 2
0 2 1
2 1 1
2 0 1
0 1 0
2 2 0
0 1 1
1 0 2
10 7
0 2 3
0 2 2
0 4 1
3 0 2
3 0 0
3 2 2
2 4 1
2 2 1
4 2 3
1 0 0
10 2
1 0 0
3 0 1
3 1 1
2 2 2
1 2 3
1 3 3
1 1 2
1 1 1
2 0 3
3 2 3
10 3
1 0 1
1 1 0
1 2 2
0 0 0
0 1 1
0 0 2
1 2 1
0 1 0
1 1 2
1 0 0
10 3
2 3 3
2 1 0
0 1 2
0 0 0
3 1 0
1 3 1
2 2 1
1 1 1
0 2 0
2 1 1
10 7
1 1 0
1 1 2
1 3 2
0 1 1
3 2 1
0 2 0
2 3 1
1 0 2
2 1 3
3 2 0
10 5
4 0 4
1 4 2
0 0 4
1 2 2
0 0 1
0 1 0
4 2 4
4 3 4
0 4 1
1 2 3
10 7
2 0 3
2 2 0
1 2 2
2 3 0
2 1 1
3 3 2
0 3 0
3 1 0
1 3 1
3 2 3
10 7
2 3 3
0 1 2
0 2 1
0 0 2
3 3 0
1 0 0
0 0 1
1 3 1
1 2 3
2 3 2
10 5
4 4 1
2 4 3
0 0 2
1 0 1
2 0 3
3 1 1
4 2 1
1 4 4
4 2 3
1 3 3
10 5
0 3 1
1 2 1
2 1 0
3 1 3
0 2 0
2 2 0
2 1 1
2 0 2
0 3 0
0 2 3
10 8
2 4 1
4 1 1
5 3 4
3 4 1
0 0 3
3 2 3
3 2 1
3 5 0
2 4 3
3 3 0
10 2
2 1 1
1 0 1
4 4 4
0 4 3
0 0 2
1 3 2
3 4 4
2 4 1
4 2 2
1 2 1
10 4
2 2 1
4 0 4
0 3 4
0 0 2
0 2 0
1 1 4
1 3 3
4 1 4
0 3 1
2 0 3
10 5
3 2 1
1 2 4
3 0 1
1 1 1
4 0 0
2 3 0
0 1 1
4 1 1
4 1 0
4 3 4
10 9
2 1 2
2 2 2
2 1 0
1 1 1
1 1 2
2 0 2
1 1 0
2 0 1
0 0 2
0 2 0
10 2
0 0 0
3 2 2
3 3 4
0 0 2
3 0 2
1 1 3
4 0 0
2 1 2
0 3 2
0 2 1
10 2
1 0 2
1 1 2
1 2 2
3 1 0
3 3 3
1 3 1
1 1 3
1 0 0
2 2 0
0 1 0
10 9
4 1 5
0 1 1
0 3 1
5 0 0
0 0 1
1 5 4
2 4 0
0 0 0
5 0 3
3 3 2
10 9
4 2 0
1 2 1
0 2 0
1 5 0
5 0 5
0 1 4
0 2 1
2 3 2
1 4 1
1 1 1
10 3
0 2 3
2 2 2
3 2 1
3 0 0
3 0 3
3 3 2
2 3 2
1 3 2
0 0 2
3 2 0
10 4
2 2 2
0 1 1
2 1 1
1 1 2
2 0 0
1 0 1
0 0 1
1 2 1
0 2 0
0 0 2
10 7
2 3 1
0 1 3
0 0 2
2 1 3
1 2 1
2 2 3
1 2 3
2 2 0
3 0 0
0 2 0
10 4
2 1 2
1 2 2
0 1 1
1 2 1
3 0 1
0 2 0
2 0 1
1 0 2
3 0 3
0 1 3
10 7
2 2 2
1 1 2
0 1 1
1 2 2
2 0 2
1 2 0
1 0 2
2 2 1
1 1 0
2 1 1
10 4
0 2 0
0 2 1
2 1 2
1 2 1
0 0 2
1 1 2
0 1 2
1 2 2
2 2 2
1 0 2
10 9
4 2 2
0 1 2
3 5 4
2 3 1
3 1 5
2 2 4
0 2 4
2 3 2
1 1 0
3 0 4
10 2
1 1 2
1 0 2
2 3 2
0 1 2
2 1 0
2 2 1
3 2 2
0 1 0
0 0 3
0 3 2
10 4
0 2 2
3 1 1
1 1 2
3 2 0
1 3 2
2 3 3
0 3 2
2 3 1
0 3 0
2 0 1
10 8
1 2 2
4 0 4
5 4 4
5 2 4
2 3 5
2 3 2
0 3 4
3 1 5
3 2 4
5 5 0
10 2
4 4 1
1 2 0
3 5 1
3 5 2
1 4 3
0 3 5
4 3 2
0 5 1
1 5 0
5 1 2
10 6
0 3 3
2 2 0
2 1 1
2 1 2
2 3 2
3 2 0
1 0 1
1 2 1
2 1 0
0 3 2
10 9
2 2 0
0 0 2
0 1 2
0 1 1
2 1 2
0 0 1
0 2 1
2 0 1
2 2 2
0 2 2
10 2
1 2 2
2 2 3
0 1 4
0 3 3
0 5 1
2 5 1
5 5 0
3 1 5
0 4 4
3 0 3
10 8
2 0 0
2 1 2
3 3 0
3 1 1
3 2 3
0 1 0
2 2 0
1 1 3
1 3 2
3 0 3
10 8
2 2 4
2 0 0
0 0 0
1 2 3
4 4 1
1 3 3
4 0 1
2 2 1
3 3 3
4 0 4
10 4
4 2 0
1 4 4
1 1 2
4 0 1
3 2 2
0 1 3
4 2 4
3 5 3
1 5 0
5 1 5
10 2
0 0 2
1 0 0
2 2 2
2 2 0
0 1 1
2 0 2
1 1 2
1 1 1
0 2 0
2 0 1
10 9
2 0 1
3 3 2
0 0 1
0 3 3
2 0 0
2 1 1
1 2 2
2 0 3
2 2 2
3 1 3
10 9
1 2 2
2 2 2
0 3 4
2 0 3
4 3 0
0 4 2
1 0 3
1 0 4
0 1 4
3 4 2
10 3
2 2 2
2 0 3
0 3 4
0 4 1
4 1 2
0 1 0
0 4 0
1 1 1
3 2 4
0 4 3
10 8
2 4 3
0 1 1
4 2 3
0 0 3
4 4 1
3 4 1
4 0 3
1 4 0
0 3 2
0 3 1
10 8
0 0 0
2 5 2
4 5 0
5 4 1
3 5 5
0 5 1
4 3 1
1 3 1
3 0 4
4 5 5
10 3
2 2 5
4 4 2
4 0 2
4 2 5
1 3 3
5 4 3
0 0 4
2 5 1
2 4 3
0 5 0
10 7
1 1 2
0 1 0
0 2 0
2 0 2
2 2 0
0 0 0
2 2 1
2 1 0
1 1 1
0 0 2
10 9
0 0 3
1 3 1
4 3 1
1 2 1
3 3 3
1 0 3
4 1 1
2 1 1
4 2 4
2 4 4
10 7
2 0 0
1 1 1
2 1 1
1 0 2
2 2 0
2 1 0
0 2 2
1 2 2
1 0 1
0 1 2
10 7
3 1 0
1 1 3
0 1 3
1 2 1
2 3 3
3 3 2
2 2 2
3 0 3
0 2 2
1 2 3
10 9
0 0 1
0 3 2
2 1 3
2 2 3
3 0 1
3 1 0
1 2 1
3 1 3
1 1 1
2 3 1
10 5
3 0 0
3 1 3
0 3 0
2 0 1
0 0 1
3 0 3
2 3 2
2 1 3
2 2 3
3 2 0
10 8
0 0 2
0 1 0
2 1 2
1 0 2
0 1 1
2 0 0
0 2 1
1 2 1
1 0 0
1 1 2
10 9
1 1 0
2 0 0
0 0 2
0 0 0
1 0 0
0 2 1
2 2 0
0 2 0
2 2 2
2 2 1
10 7
0 1 3
3 3 0
4 4 4
0 2 2
1 0 3
0 0 1
2 4 3
2 1 4
1 1 2
3 1 2
10 3
2 1 0
5 0 4
0 3 1
0 0 3
2 4 0
0 4 0
2 3 1
2 2 5
1 2 1
2 1 2
10 5
5 1 3
0 4 3
0 4 5
5 3 3
0 1 4
5 2 5
4 5 3
0 2 0
5 3 2
2 2 3
10 9
3 1 0
2 4 4
2 0 0
1 2 1
1 1 3
2 0 3
3 0 0
2 1 2
1 1 4
1 0 3
10 5
0 1 3
2 3 1
5 0 2
3 5 4
0 0 5
4 5 5
3 1 5
1 0 5
4 0 0
1 2 2
10 2
2 1 2
0 0 2
0 1 1
2 1 0
2 2 1
0 0 1
0 1 2
0 1 0
1 2 0
1 2 1
10 8
0 2 0
1 2 1
0 2 2
2 2 2
2 1 1
0 1 0
2 2 0
0 0 1
2 1 2
2 2 1
10 9
2 1 2
0 2 2
1 1 0
0 1 1
2 0 1
1 0 1
1 1 1
2 2 2
2 1 1
1 0 0
10 9
2 3 4
4 4 1
1 2 3
0 0 0
2 3 3
3 1 2
0 3 3
4 1 4
0 4 3
0 3 2
10 5
1 5 4
1 2 4
2 3 3
0 5 5
3 5 2
1 5 3
2 5 0
4 3 4
4 3 0
2 4 3
10 2
2 2 2
1 0 0
0 2 2
2 0 2
2 1 0
1 1 2
0 0 0
2 1 2
0 0 1
1 1 0
10 2
0 2 2
2 0 2
1 2 2
2 0 1
1 1 1
0 2 0
0 2 1
1 0 1
2 1 1
0 1 1
10 3
0 2 1
1 1 0
1 0 0
1 2 0
2 0 0
0 1 2
2 2 2
1 2 2
2 1 1
1 1 2
10 6
2 0 0
0 1 0
0 2 1
2 1 1
0 0 0
1 0 1
2 0 2
0 1 2
1 0 2
1 1 1
10 7
2 2 3
2 2 1
0 0 1
1 1 1
2 2 2
2 0 0
0 0 2
3 0 0
0 2 0
0 3 2
10 3
5 4 5
0 5 0
2 1 0
0 0 3
1 4 4
0 3 0
5 0 4
3 5 5
5 0 0
5 0 2
10 9
3 2 2
3 0 1
1 4 4
0 3 3
4 4 2
2 4 4
2 1 3
3 1 0
4 4 0
3 3 4
10 4
2 2 1
3 0 1
2 0 2
3 2 2
3 0 2
1 0 3
0 1 2
0 1 1
0 0 3
2 1 3
10 9
3 2 3
1 0 2
1 1 3
1 2 2
3 0 3
1 2 0
0 2 0
2 0 1
1 3 1
2 1 2
10 9
4 3 4
0 3 0
3 2 0
3 4 4
4 0 3
3 2 4
3 1 0
3 1 3
3 3 2
2 2 2
10 8
3 3 2
2 3 2
1 0 3
3 1 2
3 3 0
1 0 0
3 0 3
2 1 0
1 3 1
1 2 2
10 7
4 0 4
0 4 0
0 1 0
1 4 3
2 0 1
0 0 2
4 0 3
4 3 0
2 3 4
0 2 4
10 8
3 0 2
0 3 3
2 0 2
4 3 1
0 2 0
3 4 2
4 3 4
2 4 1
4 1 2
2 1 4
10 9
1 1 0
1 0 1
2 1 0
1 0 2
0 1 0
0 0 0
1 0 0
2 1 2
2 2 0
1 2 1
10 7
0 2 2
1 1 0
1 2 2
1 0 2
0 2 1
2 2 2
1 0 0
0 1 2
0 2 0
2 0 0
10 8
3 0 2
3 2 0
3 0 0
3 3 0
3 3 1
2 3 1
0 2 1
1 3 1
1 0 1
0 1 3
10 7
1 0 1
2 1 1
0 1 2
0 0 2
1 1 0
0 1 0
1 1 1
0 1 1
2 1 0
2 0 0
10 6
1 2 1
1 0 2
2 3 1
1 3 3
1 3 1
0 0 2
2 0 0
3 3 2
3 3 0
0 2 3
10 2
4 3 5
5 1 0
5 0 3
5 2 3
2 3 0
1 3 2
1 3 4
1 5 3
4 4 0
0 1 4
10 7
5 2 3
3 2 1
5 0 2
1 0 2
3 4 2
3 5 1
4 1 3
1 5 0
2 5 4
3 1 2
10 7
1 0 2
2 0 2
0 0 2
1 2 0
2 2 0
0 2 1
1 2 2
2 0 1
2 2 2
1 1 1
10 7
0 0 2
2 3 3
1 0 2
0 0 1
0 3 0
0 2 3
2 2 0
0 3 1
0 1 1
1 1 3
10 2
0 4 1
4 4 3
0 2 4
3 4 1
4 2 0
1 4 1
4 3 1
0 1 2
3 0 0
0 2 3
10 4
1 1 1
3 1 2
1 1 0
0 3 2
1 3 2
3 0 2
2 3 2
2 3 0
1 2 2
0 3 0
10 9
2 2 1
0 0 0
2 1 1
1 1 0
0 1 2
1 0 1
1 0 0
2 2 2
0 2 0
1 2 1
10 5
0 5 0
3 1 5
5 1 2
5 0 2
5 5 0
3 2 0
5 3 4
4 5 1
3 2 4
4 4 3
10 7
1 2 2
3 2 1
2 3 2
1 2 1
0 3 1
0 0 3
2 2 3
0 1 1
0 0 1
3 3 2
10 7
3 1 2
1 3 1
0 1 0
2 2 2
2 0 1
2 2 4
3 3 4
1 0 1
1 3 3
3 2 4
10 7
2 1 2
2 0 2
0 0 0
1 2 1
2 2 1
0 0 2
2 1 0
2 0 0
0 1 1
2 1 1
10 8
3 3 4
4 1 4
2 4 3
1 1 4
2 0 4
4 2 2
3 4 3
1 1 3
3 2 4
2 0 3
10 9
5 3 3
4 3 1
5 0 3
2 2 2
4 5 3
0 4 2
5 4 3
4 3 2
2 3 5
4 0 5
10 7
5 0 5
1 4 3
2 3 5
1 2 4
3 2 0
3 1 4
2 2 3
5 3 0
3 5 2
2 1 2
10 9
2 2 2
2 3 3
0 2 3
0 0 1
0 1 1
2 0 1
0 2 0
1 2 1
1 2 0
0 1 2
10 3
1 1 1
2 0 1
1 3 0
3 0 3
0 1 0
3 0 2
1 3 3
3 3 0
0 2 3
1 1 0
10 2
1 3 3
2 1 0
2 2 2
0 3 1
3 0 3
3 1 3
2 0 1
3 1 2
0 0 1
3 1 1
10 8
1 2 3
3 2 0
0 1 0
3 3 2
1 3 3
0 3 3
3 2 1
2 2 3
3 0 3
2 2 2
10 3
4 4 0
2 2 4
3 4 4
1 1 3
1 2 0
4 1 3
3 4 1
1 0 3
1 3 4
1 3 2
10 7
3 1 1
2 1 0
2 4 0
0 0 1
4 3 3
0 2 4
1 4 0
4 0 1
2 1 4
0 0 4
10 8
5 4 5
0 2 5
3 1 1
5 2 4
2 3 4
5 5 3
3 4 3
3 4 4
0 5 3
4 1 5
10 5
2 0 1
2 1 2
2 2 2
1 0 0
1 0 2
2 2 0
0 0 2
1 1 1
0 2 1
1 0 1
10 7
0 0 1
1 0 1
0 2 0
1 2 2
1 0 0
0 0 0
2 2 0
1 0 2
2 1 1
2 2 1
10 3
3 1 1
4 2 4
2 3 1
4 2 2
3 3 3
2 1 3
3 4 3
3 0 3
0 4 0
0 2 2
10 2
2 3 1
0 2 3
1 1 0
0 2 0
4 1 2
1 4 1
4 0 3
1 3 3
2 2 4
4 1 1
10 4
0 1 3
4 3 4
2 1 5
3 3 3
2 5 5
1 2 4
1 2 2
0 5 4
3 0 4
5 1 4
10 6
4 4 2
4 1 4
3 4 0
0 4 4
1 4 2
4 1 2
4 5 1
5 2 1
4 4 0
4 2 3
10 3
0 4 2
1 3 5
1 5 4
2 0 3
3 3 3
0 4 4
0 2 0
0 1 5
2 0 2
3 1 3
10 8
0 0 1
1 0 2
2 0 1
2 1 2
1 2 1
2 2 2
0 0 0
1 2 0
1 0 1
2 1 1
10 4
3 0 3
3 1 3
2 1 1
0 3 2
1 2 3
2 2 1
2 2 0
3 1 1
3 3 2
0 1 0
10 5
0 2 4
2 5 3
4 3 5
5 5 4
5 3 3
0 5 2
0 3 0
4 5 4
3 5 0
4 1 4
10 7
2 0 1
0 3 4
0 4 4
3 2 1
3 4 3
0 2 1
2 1 4
1 1 2
3 3 3
1 4 1
10 6
0 1 4
2 0 3
4 2 0
2 2 1
3 1 2
3 1 3
1 2 3
4 0 2
1 3 1
2 0 1
10 9
3 4 1
1 3 1
0 5 1
5 3 3
2 1 1
3 5 4
0 2 0
0 1 2
0 3 2
0 3 4
10 5
3 1 0
5 4 1
2 4 1
1 3 5
5 0 2
5 1 0
1 1 4
1 2 0
2 4 2
3 1 4
10 7
2 1 0
1 3 2
2 0 1
0 0 1
3 2 3
0 3 1
2 0 2
2 2 2
3 2 0
0 2 2
10 3
2 4 5
3 3 0
1 3 1
0 3 5
4 5 3
2 1 2
5 0 0
3 4 4
1 3 2
3 1 1
10 2
2 2 0
1 3 2
2 2 3
4 0 5
1 3 5
3 3 1
2 2 1
3 1 2
3 4 5
0 0 5
10 2
4 1 0
4 0 2
2 1 0
4 3 0
3 3 4
1 2 2
2 1 4
2 2 3
0 4 1
1 1 0
10 4
1 2 4
0 4 3
3 0 2
0 4 5
0 1 0
3 2 2
5 1 1
0 4 1
4 0 2
1 4 5
10 6
4 4 0
3 2 1
1 2 0
3 4 0
3 0 0
0 2 3
2 0 1
1 2 1
4 1 3
1 1 0
10 2
0 0 1
0 0 2
2 0 0
0 1 1
0 2 1
0 0 0
2 2 0
1 2 1
1 2 0
0 1 2
10 7
3 2 2
2 1 3
4 4 3
4 1 1
0 3 0
4 4 4
2 2 3
1 0 4
3 0 4
4 3 1
10 5
2 0 0
0 3 2
0 3 0
3 3 2
2 3 0
3 0 2
2 3 3
0 1 3
0 0 1
2 2 2
10 2
1 0 0
0 2 2
0 1 2
1 0 2
1 2 1
0 2 0
2 1 0
0 1 1
1 0 1
2 2 0
10 2
0 4 4
2 5 5
4 0 3
3 5 0
1 1 0
0 3 2
1 4 0
1 1 4
5 5 3
0 1 2
10 2
2 0 1
0 2 0
2 2 1
1 2 1
2 1 2
1 1 1
0 0 0
1 0 1
0 1 1
2 0 0
10 4
2 2 3
3 2 3
3 3 0
4 4 0
4 0 2
1 4 2
2 1 0
3 4 0
4 1 0
0 1 2
10 7
1 2 1
2 0 1
1 1 0
2 1 0
1 3 1
3 3 0
0 1 2
1 0 0
3 0 1
0 1 3
10 7
1 2 0
1 0 0
1 1 1
0 2 2
0 0 1
2 1 2
2 0 1
0 0 2
2 2 1
0 2 0
10 3
1 3 5
4 1 1
1 0 1
1 4 3
4 4 5
1 1 4
5 2 5
3 4 2
5 0 3
5 4 0
10 8
0 0 1
3 0 0
4 2 2
1 1 3
2 1 2
2 2 4
3 2 1
2 0 0
4 2 3
3 1 1
10 4
1 2 0
2 1 1
0 2 1
0 0 0
1 2 2
0 2 2
1 1 2
2 2 0
0 1 1
0 0 1
10 4
5 3 4
4 4 4
0 5 3
4 0 2
0 2 5
2 0 5
0 3 2
3 2 4
1 0 0
3 5 3
10 6
5 2 1
3 4 4
4 3 4
4 2 0
5 1 3
2 5 5
3 2 0
0 5 1
0 5 3
2 3 2
10 2
1 0 2
2 1 0
2 2 2
1 0 1
2 1 1
1 2 2
0 0 0
1 1 2
0 0 2
2 0 2
10 7
1 3 2
4 4 3
4 4 4
4 2 4
2 2 2
3 3 1
4 2 1
3 2 4
3 3 2
2 0 2
10 4
1 1 2
2 0 3
3 2 2
0 3 0
1 3 2
2 1 1
3 1 3
2 3 2
3 1 1
1 2 3
10 6
2 2 4
2 4 1
1 1 4
0 2 4
1 1 2
3 0 4
4 1 4
3 0 1
3 0 2
3 1 0
10 8
0 2 2
1 1 2
0 2 0
2 1 2
0 0 2
1 0 1
2 0 2
2 0 1
1 2 0
0 2 1
10 2
0 3 0
1 2 3
3 3 2
2 3 3
3 2 1
2 2 1
1 2 0
3 3 1
2 3 2
1 0 1
10 8
1 1 1
1 0 0
1 1 2
0 0 1
1 0 1
0 2 2
2 1 0
2 1 1
1 2 0
2 0 2
10 6
3 1 0
1 1 3
2 2 2
3 3 0
0 1 1
0 3 1
2 0 2
2 1 1
3 2 1
0 0 1
10 5
1 0 2
1 1 1
2 2 2
1 2 2
2 0 1
1 0 1
1 0 0
1 1 2
2 2 0
2 1 1
10 3
1 2 2
2 0 1
1 2 1
0 2 1
1 0 2
2 0 2
0 0 2
0 0 0
0 1 0
0 1 2
10 9
2 0 0
0 0 2
2 1 2
1 1 0
1 0 0
0 1 0
1 0 2
1 2 1
1 2 0
0 2 2
10 2
2 4 0
3 2 1
2 3 0
0 0 2
4 1 1
2 3 2
0 1 2
1 0 3
0 1 4
0 0 0
10 4
2 2 0
0 1 1
1 1 1
1 2 2
0 3 0
0 0 0
0 0 1
2 0 0
1 0 1
2 3 2
10 7
1 4 2
0 0 3
3 5 2
1 1 0
3 5 3
4 4 5
4 3 0
3 3 0
5 0 1
5 2 2
10 9
1 3 1
1 3 4
1 4 1
3 1 3
4 1 5
0 0 3
5 4 3
5 1 2
5 2 4
4 1 0
10 3
2 1 1
1 2 2
1 1 2
0 1 2
2 1 2
0 2 2
2 2 0
2 2 1
0 0 0
0 0 2
10 8
1 0 0
1 2 0
1 1 2
1 0 2
2 0 1
0 2 1
2 1 1
1 2 2
2 1 2
2 2 1
10 3
2 1 2
3 3 3
2 0 1
2 3 1
3 3 1
0 3 1
3 0 0
1 2 0
3 3 2
3 1 1
10 5
0 0 0
3 2 2
2 1 0
4 1 1
5 1 2
1 0 4
3 5 0
3 3 3
5 3 3
1 5 5
10 7
1 1 1
2 2 1
0 0 0
2 1 2
0 1 0
0 1 2
1 1 2
1 0 0
2 2 0
2 0 2
10 5
3 4 4
2 4 2
3 1 5
0 2 1
3 0 5
2 3 3
1 2 1
5 5 2
2 5 0
5 5 3
10 3
5 4 4
4 4 2
1 2 3
0 0 3
2 5 1
3 1 1
3 1 0
0 3 0
4 4 4
4 0 5
10 3
1 1 1
0 1 0
0 3 2
1 2 2
3 0 2
0 3 1
2 1 0
3 0 0
0 0 1
0 0 2
10 9
2 1 5
2 1 2
5 1 5
4 2 5
0 4 2
1 1 5
0 4 1
4 2 0
2 0 2
2 3 0
10 7
1 2 0
0 1 1
0 2 1
0 0 0
1 2 2
0 1 2
2 0 0
1 1 2
2 1 2
2 2 1
10 2
3 3 2
4 1 1
0 2 0
3 4 3
1 3 0
1 2 3
0 1 2
3 3 0
4 2 1
3 3 3
10 5
2 3 1
0 3 3
0 0 2
3 1 0
1 1 2
2 0 0
3 1 3
1 0 0
0 3 2
3 0 3
10 9
1 5 1
3 4 2
4 4 0
3 1 3
1 5 3
4 0 0
4 1 2
3 0 5
4 0 2
2 4 4
10 4
2 1 0
1 2 1
0 2 1
2 2 2
2 1 1
2 2 0
0 2 2
0 1 1
2 0 2
1 2 0
10 6
4 0 1
4 1 2
4 2 4
0 1 4
3 1 3
4 1 4
3 4 4
0 1 3
2 2 3
1 4 0
10 7
3 4 1
2 1 5
5 4 2
4 5 4
2 0 3
1 4 4
1 5 2
0 3 2
3 3 4
3 4 4
10 2
0 3 2
0 5 2
3 0 2
5 2 5
1 4 5
1 5 2
1 1 4
5 4 5
4 0 0
3 3 2
10 4
5 2 5
1 0 2
5 0 2
1 0 4
5 5 1
3 0 4
3 3 1
0 0 5
4 4 2
0 0 1
10 6
1 5 3
5 1 2
5 4 5
2 1 5
4 0 4
4 5 0
3 1 5
3 4 4
1 3 0
1 5 0
10 7
2 0 3
0 5 5
2 5 2
3 3 1
5 0 4
4 3 2
1 5 4
1 0 1
2 1 2
0 2 2
10 3
1 1 0
0 1 0
0 1 1
1 1 2
2 2 0
2 0 1
2 0 0
0 2 2
1 2 0
2 0 2
10 2
3 0 2
0 2 4
0 0 5
3 4 5
3 1 3
0 3 2
5 0 4
4 1 4
3 5 4
3 4 0
10 6
0 2 1
4 3 0
2 3 1
0 0 0
4 3 3
1 1 2
4 0 0
2 2 4
3 3 1
1 2 3
10 4
2 0 1
1 3 2
1 4 2
1 0 4
1 4 0
1 4 4
3 2 0
0 3 3
2 4 3
3 2 1
10 2
1 0 4
2 3 3
0 3 0
1 3 0
3 1 0
1 0 1
4 1 4
1 3 1
1 2 0
0 4 2
10 4
1 2 1
3 3 4
0 0 1
5 0 5
3 5 2
0 1 5
2 2 3
2 5 5
5 3 5
0 0 2
10 3
4 1 3
3 4 4
5 4 3
1 2 1
0 4 2
1 4 4
3 2 2
3 5 5
2 0 5
0 0 3
10 8
0 0 1
0 1 3
0 0 2
1 0 1
0 2 0
3 0 3
1 2 0
1 3 0
2 3 3
1 3 3
10 2
0 3 0
0 1 2
0 0 0
3 1 2
2 2 0
2 2 2
3 2 0
2 0 2
2 3 2
2 1 1
10 9
2 3 3
2 3 2
3 0 2
2 0 0
1 0 0
4 0 0
4 3 3
1 3 0
1 2 0
4 2 2
10 2
3 3 2
0 1 0
0 3 0
3 1 0
3 2 3
5 3 2
3 2 4
2 1 5
1 2 3
3 0 5
10 9
0 1 3
2 0 2
0 2 3
2 1 3
1 3 1
2 1 1
0 3 0
0 0 3
3 0 3
1 1 1
10 4
2 1 0
1 1 3
0 0 0
1 1 0
1 0 1
3 3 0
3 2 2
3 3 2
2 2 2
0 1 2
10 2
0 3 2
3 2 2
4 3 3
2 4 2
3 2 0
0 3 3
1 4 2
2 3 1
4 0 3
1 4 0
10 7
0 1 0
1 1 0
2 2 1
1 2 1
2 1 0
2 0 2
0 2 2
1 1 2
1 1 1
0 0 0
10 2
4 1 4
3 0 1
4 3 4
5 5 0
2 5 1
1 2 2
0 2 3
4 4 0
5 4 0
1 4 0
10 6
1 1 3
0 2 0
0 1 1
1 0 0
2 3 3
0 3 1
1 3 0
3 0 0
0 2 3
2 2 0
10 4
1 0 1
1 1 1
1 2 2
0 1 1
2 1 0
2 0 2
0 1 0
2 2 1
2 2 0
1 1 2
10 7
1 1 2
2 2 2
1 0 1
1 0 2
1 2 0
1 2 1
0 0 1
0 2 1
0 2 0
2 1 1
10 8
0 2 1
1 0 2
1 1 0
2 2 1
0 0 2
2 0 2
2 0 1
1 2 1
0 1 2
1 0 1
10 3
0 1 3
2 4 3
3 3 1
4 4 4
1 4 1
3 3 2
2 2 1
4 3 0
3 4 2
0 2 3
10 3
0 3 1
4 4 3
1 3 0
1 4 4
3 2 0
2 4 3
4 2 0
3 3 0
3 1 4
2 4 1
10 5
3 3 4
0 0 0
2 2 4
1 3 2
2 1 2
2 2 3
2 3 4
2 0 4
0 0 4
3 0 1
10 9
0 0 0
0 1 2
0 2 2
2 2 0
1 2 0
2 2 1
1 2 1
2 0 2
1 0 2
2 2 2
10 5
3 0 3
3 3 2
0 2 3
3 1 3
1 2 0
1 0 1
1 2 3
1 3 2
1 1 1
0 1 0
10 5
0 0 4
4 2 2
5 5 3
3 4 0
2 1 1
5 0 0
3 5 5
4 4 2
4 2 1
5 2 4
10 3
3 3 0
2 3 0
2 1 0
3 1 1
3 2 2
3 0 3
1 3 2
3 0 2
2 2 2
1 3 1
10 9
1 5 5
1 4 1
5 4 2
3 0 2
2 5 5
0 0 0
0 2 5
4 4 2
3 5 1
3 1 0
10 5
0 0 0
1 0 1
2 0 0
2 1 2
2 2 2
2 0 2
2 0 1
1 0 2
2 2 1
1 2 0
10 4
0 2 2
1 0 2
2 3 1
2 1 0
2 1 1
0 3 3
2 1 2
1 3 1
3 0 0
3 0 3
10 2
1 3 4
0 1 4
1 0 3
0 1 0
4 1 2
5 4 5
4 1 1
5 2 0
1 5 0
4 1 5
10 7
3 1 2
0 3 0
2 3 2
0 2 2
1 0 1
2 3 3
2 2 0
0 1 2
1 0 0
0 3 3
10 9
0 0 2
2 2 2
0 1 2
0 0 1
0 1 1
0 1 0
2 1 0
2 0 2
1 2 2
2 1 1
10 2
4 5 0
1 1 1
0 3 0
3 2 3
0 2 2
1 1 2
0 5 3
4 0 4
5 0 1
3 2 5
10 4
1 5 0
1 2 1
4 4 0
0 2 5
0 4 0
1 4 4
4 5 2
4 5 0
0 1 5
3 0 2
10 6
1 1 1
0 1 0
1 2 2
0 1 1
1 0 1
0 1 2
1 2 1
0 0 0
0 2 2
2 2 1
10 7
2 2 1
4 4 0
1 0 2
0 1 0
2 1 1
3 1 0
3 4 3
3 3 2
1 1 2
4 0 0
10 6
1 1 2
0 0 0
0 0 2
0 1 1
0 2 1
2 1 2
1 1 0
1 0 2
2 0 2
2 0 0
10 5
3 2 2
3 3 3
3 2 0
3 0 2
1 1 0
1 0 1
1 2 0
0 1 0
2 1 0
0 2 0
10 4
5 4 3
5 2 3
1 5 4
0 2 2
1 4 1
4 1 3
0 4 5
5 4 1
1 1 0
0 0 5
10 4
2 2 1
2 1 2
1 0 2
2 0 0
1 2 2
0 1 0
0 2 2
2 2 0
1 1 1
2 2 2
10 6
1 2 2
0 0 2
0 1 2
1 1 2
2 1 1
2 1 2
2 0 0
2 2 1
0 1 0
1 0 0
10 2
1 3 3
2 1 2
2 2 1
2 3 0
0 0 3
4 1 2
4 0 4
0 2 4
3 3 3
3 4 1
10 7
3 0 3
3 0 1
2 1 0
2 3 3
3 3 3
2 2 3
0 1 1
1 3 1
1 2 0
0 0 2
10 9
2 1 0
2 0 2
2 2 0
1 1 0
2 1 1
2 2 1
0 2 0
1 1 1
0 1 2
1 2 2
10 2
0 4 1
3 3 3
2 1 3
0 1 4
4 2 1
1 4 3
0 1 3
0 4 4
1 0 4
1 4 2
10 6
3 0 0
0 1 0
3 1 2
3 4 3
1 0 1
3 4 2
2 1 1
1 2 3
1 2 2
1 0 2
10 9
2 0 2
2 0 0
2 1 1
1 1 1
2 2 0
0 2 1
0 0 0
0 1 2
2 2 1
0 1 0
10 8
4 2 5
5 4 1
2 0 2
4 0 1
0 5 1
0 0 5
2 0 5
4 2 1
0 3 3
2 4 5
10 2
0 0 1
3 1 2
1 1 3
3 0 3
4 3 4
3 5 3
5 5 0
1 3 4
4 1 1
1 3 0
10 9
3 1 0
0 0 0
0 0 1
2 3 1
2 2 2
3 0 2
0 1 3
1 3 1
0 1 0
0 3 3
10 5
1 2 5
2 0 4
2 0 1
5 4 2
1 5 5
3 0 3
1 3 1
0 2 0
3 2 4
4 1 3
10 5
0 0 0
2 1 0
1 1 0
0 2 2
2 2 2
1 2 2
1 2 0
0 1 2
0 1 1
0 0 2
10 8
0 2 1
0 2 2
3 0 1
2 2 1
3 2 1
0 2 0
0 3 3
0 2 3
0 3 1
1 3 2
10 4
2 2 4
2 2 3
4 2 3
4 2 2
2 3 4
1 1 2
2 1 1
1 4 1
1 4 0
1 3 3
10 9
1 4 1
5 3 3
0 3 5
3 1 0
0 1 4
2 3 3
4 0 3
3 2 5
0 4 1
4 1 5
10 8
2 3 0
3 0 3
1 5 1
4 1 3
4 0 1
5 3 5
4 4 4
5 1 3
5 0 0
5 2 4
10 4
1 3 3
4 1 4
4 5 5
0 3 1
4 1 3
3 2 2
1 3 2
4 5 0
5 2 0
0 5 5
10 4
1 2 1
5 5 0
1 1 4
3 4 4
4 5 3
4 1 4
4 0 4
0 2 5
4 3 5
3 2 2
10 9
3 1 0
1 0 2
3 0 0
1 0 3
1 3 2
3 0 3
2 2 2
0 3 1
2 3 2
3 2 3
10 8
3 2 3
1 1 0
1 3 3
0 1 2
1 3 2
2 2 2
0 3 3
2 1 0
3 1 3
1 1 1
10 6
2 1 3
0 1 2
2 3 2
1 3 2
1 1 2
1 0 1
2 2 0
3 1 0
3 3 2
1 3 3
10 9
2 0 0
2 1 2
2 0 1
2 1 1
0 0 0
2 2 1
2 2 0
1 0 2
1 1 0
1 0 1
10 8
0 0 4
4 0 3
3 4 0
0 1 4
3 1 4
4 2 3
4 4 4
3 0 2
1 2 2
1 3 1
10 6
1 5 0
4 0 0
5 4 2
1 1 5
1 5 5
2 4 0
0 0 2
3 5 1
2 0 5
4 2 2
10 2
3 0 0
3 1 3
2 2 3
2 1 0
1 3 3
3 1 0
1 1 3
0 2 3
0 3 0
0 0 3
10 8
3 4 2
0 4 2
4 4 1
3 2 0
0 3 2
0 0 3
2 1 4
3 2 2
1 4 2
4 2 3
10 7
2 2 3
3 1 0
1 1 3
0 2 3
0 3 1
2 0 0
2 1 1
2 0 1
0 1 0
2 3 0
10 5
0 2 1
0 2 0
1 2 1
0 2 2
0 0 1
2 1 2
1 2 0
1 0 2
2 1 1
2 0 0
10 2
2 1 1
2 0 2
1 2 1
1 1 1
1 1 2
0 0 0
1 0 2
2 0 0
0 2 0
1 2 2
10 9
2 0 2
1 4 1
1 3 1
0 3 3
1 2 5
1 1 3
0 2 5
4 2 0
5 3 5
2 3 0
10 2
5 2 4
3 3 0
2 3 0
5 1 2
1 5 0
4 3 3
0 1 1
0 5 2
3 1 0
4 0 1
10 9
0 2 2
2 0 1
2 2 1
1 2 2
0 0 0
1 2 0
2 2 2
0 1 1
1 0 2
0 1 2
10 3
1 0 0
2 2 0
0 0 2
1 0 1
2 1 2
1 2 2
0 1 0
0 0 0
2 0 1
0 2 2
10 6
3 2 0
3 3 3
0 0 4
3 1 0
3 2 2
0 2 5
0 0 5
4 4 3
0 2 2
3 4 2
10 6
2 1 0
1 2 2
1 1 0
0 1 0
2 2 2
1 1 1
1 0 0
1 0 1
2 1 2
2 0 1
10 4
2 4 2
0 1 0
4 2 4
0 3 4
0 4 1
4 2 0
0 1 4
2 1 2
0 2 0
1 4 3
10 3
3 2 0
0 0 3
3 3 2
3 3 1
3 0 0
1 1 0
1 0 0
2 0 3
1 2 1
2 3 0
10 7
1 1 3
1 3 3
2 1 2
1 3 0
0 0 1
1 2 0
0 1 1
3 1 1
1 3 2
2 3 1
10 4
1 1 0
1 2 0
3 3 3
1 1 2
0 0 0
1 2 3
1 0 3
3 2 1
3 1 0
3 3 1
10 9
0 1 2
0 2 1
2 2 2
2 0 2
2 1 1
1 0 0
2 2 0
1 2 0
2 1 2
0 0 1
10 3
4 2 1
3 4 2
4 1 4
4 0 5
0 4 5
1 2 5
3 2 0
2 5 2
2 3 0
0 5 1
10 9
3 3 0
1 2 2
1 2 3
1 0 0
0 2 2
2 0 3
2 1 3
0 0 0
3 2 0
3 3 2
10 9
0 2 0
1 1 1
2 1 0
0 1 0
1 2 1
1 1 0
0 2 1
2 2 0
2 0 2
0 1 2
10 5
1 3 2
3 0 2
3 4 3
1 4 4
3 3 2
0 2 1
4 4 2
1 4 1
3 2 3
4 1 1
10 6
1 4 1
3 3 1
4 0 4
2 0 4
4 3 0
0 1 3
3 0 3
0 4 3
3 1 4
2 3 4
10 8
2 2 0
2 0 2
0 0 1
1 0 2
2 1 0
0 2 0
2 2 1
1 1 1
1 0 0
2 0 0
10 6
3 3 2
0 1 3
3 0 0
0 0 0
3 1 3
0 3 2
2 0 1
4 4 4
1 2 2
0 4 2
10 8
0 5 3
5 3 3
5 4 3
1 1 3
1 1 2
1 2 4
3 2 5
5 5 1
4 2 2
1 4 0
10 2
1 1 2
1 1 3
0 2 1
1 2 0
0 1 1
0 0 0
3 0 3
3 0 1
1 2 3
0 1 0
10 7
3 3 0
2 3 0
2 1 1
3 0 0
0 3 2
1 2 2
2 2 3
0 1 2
2 0 2
0 0 1
10 8
3 3 1
0 0 3
1 3 1
2 3 3
0 0 2
1 0 4
1 1 4
1 1 1
1 4 1
0 3 3
10 8
2 0 3
2 0 2
0 3 0
2 2 1
2 3 1
1 3 0
2 0 0
1 3 1
0 2 2
2 3 0
10 3
1 0 2
0 2 2
2 0 0
1 0 1
1 2 1
2 2 1
2 2 2
2 1 0
0 1 0
0 0 0
10 4
2 1 2
2 0 0
1 1 0
2 0 2
0 1 0
0 2 0
0 0 2
1 1 1
0 1 2
0 2 2
10 6
0 0 0
0 0 2
1 1 1
2 3 2
3 2 1
3 3 3
0 3 2
2 2 3
2 2 1
2 1 2
10 8
2 0 4
2 3 4
2 1 3
2 0 1
4 3 4
2 2 0
4 1 4
1 0 4
1 4 1
2 4 3
10 4
2 0 1
1 3 0
4 1 1
2 1 4
2 4 3
3 0 4
0 3 4
2 3 2
3 4 2
3 2 2
10 9
2 1 2
2 0 3
2 1 3
2 1 0
3 0 2
1 1 1
3 0 1
3 2 1
2 0 0
1 1 2
10 2
3 0 3
1 2 2
0 0 0
0 3 1
1 1 1
1 0 1
0 2 0
1 2 0
2 2 0
0 0 1
10 2
3 1 0
0 1 1
0 2 3
0 4 2
4 1 0
0 3 0
1 3 4
4 1 3
1 2 0
4 4 1
10 4
2 0 1
2 0 0
2 2 2
2 2 0
0 0 0
0 1 2
0 0 1
0 2 0
1 1 2
1 0 2
10 8
3 3 0
0 3 5
0 5 2
3 2 1
2 3 1
0 4 4
5 4 5
5 4 4
4 5 1
2 3 5
10 9
3 4 2
5 0 5
2 1 2
1 1 3
0 2 4
4 1 4
3 3 4
0 1 4
2 1 5
1 1 4
10 3
1 3 3
3 3 0
2 3 4
2 0 1
3 1 0
1 2 1
3 4 2
0 1 0
1 3 1
1 0 0
10 6
0 0 0
1 1 0
2 2 2
1 0 1
2 1 2
1 1 2
0 0 2
0 0 1
1 2 2
2 0 2
10 7
1 3 3
3 3 3
2 3 1
1 0 2
1 1 1
1 1 2
1 2 2
2 0 0
0 3 2
0 2 1
10 8
1 2 1
3 0 3
0 1 1
1 3 1
0 2 0
3 3 0
0 1 2
2 0 3
1 2 0
1 0 0
10 3
4 4 0
1 2 2
3 0 0
2 4 2
0 1 0
2 3 4
1 0 3
3 2 3
1 3 0
3 3 4
10 8
1 5 4
4 3 2
3 0 1
4 1 1
0 5 4
5 2 4
4 4 1
3 3 0
3 3 1
5 3 3
10 4
1 0 0
0 2 2
2 1 2
0 1 2
0 0 0
1 0 1
0 2 0
0 0 2
1 2 0
1 1 0
10 6
3 3 2
3 2 4
2 3 1
0 4 2
0 3 2
0 3 3
0 0 4
4 0 2
4 4 2
1 2 4
10 3
0 1 4
3 2 2
4 4 1
2 3 3
1 1 2
0 0 1
4 2 3
2 1 2
3 1 1
1 4 3
10 6
2 0 2
0 1 2
1 2 0
1 0 1
1 0 0
2 2 1
0 2 0
0 1 0
1 2 2
2 0 1
10 3
2 2 2
4 2 0
2 0 3
0 1 4
2 3 4
4 2 1
1 0 1
4 0 1
1 3 2
2 1 3
10 7
3 2 0
0 3 0
0 1 0
0 2 1
3 0 0
2 2 1
0 0 2
3 0 3
2 0 3
1 3 3
10 5
0 4 3
4 3 3
1 4 2
2 4 4
0 0 0
0 3 3
1 0 4
3 2 3
1 3 2
4 3 4
10 8
1 1 0
1 0 2
0 2 2
0 2 0
1 0 1
1 1 2
0 0 1
2 0 0
1 2 0
0 2 1
10 9
1 2 3
0 1 0
3 3 3
3 1 3
3 3 2
3 2 2
2 3 0
2 0 1
3 3 0
0 3 2
10 4
0 0 0
0 1 2
0 2 2
1 1 2
1 2 1
2 2 1
2 1 1
1 0 0
2 2 0
1 1 1
10 8
1 0 5
5 4 5
5 2 3
0 5 4
0 2 5
3 4 0
5 0 0
0 5 5
4 4 2
4 5 3
10 8
1 1 0
2 2 1
3 1 1
3 2 0
0 3 2
1 1 2
2 1 1
0 2 1
3 2 3
3 1 0
10 5
3 2 2
3 0 3
3 0 4
2 2 4
2 0 1
1 2 4
1 4 4
2 4 0
0 1 1
2 0 0
10 3
5 2 4
1 3 1
4 3 0
0 4 5
3 4 5
0 2 0
4 3 2
0 5 4
4 0 3
4 2 4
10 5
1 1 0
1 3 0
3 1 0
2 0 1
0 2 0
0 0 1
1 0 1
0 1 2
1 3 3
0 1 0
10 3
0 1 1
1 0 2
1 2 1
2 0 2
1 1 1
2 0 1
1 0 0
0 2 0
0 1 0
2 0 0
10 9
3 2 2
2 3 3
3 0 0
4 2 2
0 0 1
3 4 4
1 3 3
0 2 1
3 0 2
4 0 1
10 8
2 1 0
1 0 0
1 1 2
0 2 1
0 0 0
0 0 1
0 0 2
0 2 2
0 1 2
1 2 0
10 9
1 1 2
1 2 0
3 2 2
2 0 3
1 0 3
2 1 3
0 1 3
0 0 2
3 1 1
3 1 0
10 5
1 2 1
2 0 0
2 2 1
0 1 0
1 0 0
1 1 2
2 0 2
0 2 2
2 1 1
0 2 0
10 5
0 2 0
1 0 1
2 2 2
2 0 0
1 2 0
0 1 1
0 2 2
0 0 0
1 0 2
2 0 2
10 2
1 4 3
4 0 0
0 2 0
4 3 0
3 4 4
2 3 4
0 1 1
0 1 3
1 1 4
1 4 0
10 8
4 3 1
5 3 4
2 3 5
4 5 0
4 1 5
5 1 5
4 5 3
4 3 0
2 2 2
3 1 0
10 3
2 0 5
4 0 0
0 5 4
0 2 4
0 4 4
4 2 1
2 4 2
4 4 3
2 3 1
3 0 4
10 6
1 3 0
1 2 3
3 0 1
0 2 1
0 2 0
1 1 0
3 0 3
0 3 3
2 2 2
0 0 1
10 2
1 0 4
2 2 1
1 3 1
2 4 2
4 3 0
0 4 0
3 2 2
4 1 2
2 1 0
3 2 4
10 6
0 2 2
1 2 3
1 1 3
2 3 3
2 3 1
0 3 1
1 2 0
2 1 1
3 2 0
3 1 3
10 2
3 3 2
3 2 2
3 3 3
3 2 0
0 3 1
3 0 2
3 2 1
2 3 2
0 3 3
1 0 3
10 8
1 0 2
2 2 4
3 2 0
3 3 2
0 4 0
0 4 2
1 4 0
4 2 4
4 0 1
1 2 1
10 2
0 2 3
3 3 0
0 0 3
1 1 3
3 3 3
3 1 3
3 0 3
3 2 1
0 0 1
1 1 1
10 3
0 1 3
1 2 3
2 1 0
1 1 1
0 3 0
3 0 0
2 0 3
2 0 1
2 1 2
1 3 0
10 5
2 3 4
2 4 1
1 4 5
2 4 4
3 5 2
0 2 3
2 1 4
0 5 4
5 4 4
1 3 2
10 4
1 2 1
1 2 2
1 0 2
2 2 0
0 1 1
0 2 1
0 1 0
1 1 1
2 0 2
2 2 1
10 4
0 4 1
1 2 1
3 2 0
3 3 1
0 1 3
3 2 4
1 3 1
1 2 0
1 1 1
4 3 4
10 4
2 0 1
0 2 2
1 0 1
0 0 2
1 1 1
3 1 1
3 2 1
3 1 2
2 1 0
0 2 0
10 9
0 2 2
2 1 2
2 0 2
1 1 0
2 2 0
1 0 2
2 0 0
0 1 2
1 2 1
0 0 1
10 2
3 1 4
3 0 3
1 4 4
4 1 0
0 2 4
0 4 1
0 1 3
3 0 1
4 1 2
4 0 1
10 6
2 0 3
0 1 2
0 3 1
1 0 3
2 3 3
0 1 1
1 0 2
0 3 2
3 0 1
0 2 3
10 9
3 3 1
1 3 0
2 1 0
0 0 3
1 2 2
0 0 1
3 3 0
2 2 3
2 0 2
0 2 1
10 3
2 0 5
4 5 0
4 2 2
0 3 2
5 2 4
3 0 1
3 4 3
2 5 5
3 2 0
5 1 3
10 7
3 5 5
5 1 1
3 2 3
2 5 4
0 1 3
0 5 3
1 1 3
2 2 2
4 4 0
0 4 2
10 7
2 0 0
1 1 2
1 2 1
2 1 2
0 0 2
1 2 2
1 0 1
0 1 0
1 1 0
2 1 1
10 8
0 2 1
2 0 2
0 0 0
1 0 1
2 2 2
1 0 2
2 2 0
0 2 2
2 1 1
2 1 2
10 8
4 1 2
4 0 3
1 3 2
1 5 2
5 0 4
5 4 2
5 5 0
1 2 0
1 5 0
4 5 2
10 8
2 1 0
1 1 0
2 2 0
1 0 0
2 2 1
2 2 2
2 0 0
1 2 0
0 0 2
1 2 2
10 8
2 3 0
3 4 4
1 5 5
2 2 4
3 4 1
5 4 5
5 4 4
1 1 4
1 5 1
5 5 2
10 4
2 2 4
3 4 4
2 1 3
0 4 3
4 4 4
4 0 1
2 4 2
1 0 3
1 4 1
1 2 3
10 9
1 0 2
2 3 0
0 0 1
3 2 2
1 1 0
1 2 0
0 2 1
2 1 2
3 2 1
1 1 2
10 3
1 1 0
0 0 1
0 0 2
2 0 1
2 0 0
0 1 0
2 0 2
0 1 1
0 1 2
0 2 1
10 3
2 3 0
3 4 2
3 0 2
3 2 1
2 2 0
2 0 1
0 3 2
0 3 0
3 3 3
0 1 3
10 7
1 4 3
4 2 3
2 3 1
1 1 1
3 4 4
2 1 3
4 1 3
3 2 2
1 3 4
3 3 2
10 5
0 2 3
0 3 3
2 1 3
2 2 3
3 0 3
1 1 2
1 0 2
2 3 3
2 0 1
0 3 0
10 7
3 2 2
0 0 2
3 2 0
1 3 1
2 1 1
0 1 0
1 0 2
3 3 1
1 1 1
0 2 2
10 5
1 4 1
3 4 3
0 4 1
1 2 2
3 0 2
2 0 4
0 4 2
0 3 4
5 3 3
2 2 0
10 9
3 2 5
1 0 1
0 5 2
1 5 2
5 0 5
0 4 1
3 0 5
4 2 5
3 1 1
5 0 0
10 4
5 3 3
3 5 0
3 4 3
2 4 0
3 1 5
2 0 5
0 3 2
1 1 4
1 3 4
4 5 1
10 4
2 2 0
0 0 0
1 2 1
1 2 0
0 2 0
1 0 0
0 1 2
0 2 1
2 2 1
1 1 2
10 8
0 2 0
5 5 4
0 4 5
0 2 3
0 0 1
1 3 4
5 5 3
1 1 5
1 3 3
3 3 3
10 4
2 1 2
1 2 1
1 0 0
0 1 0
0 1 2
2 1 1
2 0 0
1 1 2
2 2 1
1 1 0
10 9
0 0 1
0 2 2
1 2 1
1 0 0
2 0 0
1 1 1
2 2 2
0 1 1
2 0 2
1 2 0
10 6
2 0 0
2 1 2
0 0 2
1 2 2
2 0 1
1 0 1
1 0 0
2 0 2
2 2 1
0 1 1
10 6
2 2 1
0 0 2
1 0 1
2 3 1
2 0 3
0 3 3
1 1 2
2 2 3
1 0 3
0 0 3
10 4
0 0 1
2 1 1
1 1 2
0 1 1
0 0 0
0 2 2
0 1 0
2 2 1
2 2 2
1 0 1
10 9
2 3 2
3 4 1
1 3 0
4 2 3
1 2 0
4 0 0
1 0 0
1 4 0
4 4 0
0 0 4
10 7
1 3 1
1 2 0
4 1 2
1 5 3
3 0 4
2 5 4
1 2 5
4 2 0
0 5 5
5 4 2
10 5
0 2 1
1 1 2
1 3 2
0 0 3
0 1 2
1 0 0
0 3 2
3 0 1
2 3 2
2 1 3
10 4
1 0 0
2 2 2
2 0 3
2 1 2
0 0 1
2 1 3
0 1 2
0 0 0
1 1 1
3 3 1
10 5
2 1 1
0 0 2
2 2 0
1 1 1
0 2 1
0 1 1
1 2 1
2 2 2
1 0 2
0 0 0
10 8
4 5 2
3 4 4
2 5 1
3 0 1
4 4 0
3 2 1
5 4 3
3 3 3
1 3 2
4 4 1
10 5
3 2 2
2 0 0
0 2 4
3 4 2
3 1 3
3 1 2
2 3 1
4 2 3
4 0 0
0 4 3
10 9
1 2 2
0 1 0
0 2 1
2 2 0
0 2 2
1 2 1
0 1 2
2 0 2
1 1 0
2 2 1
10 4
2 1 3
3 1 3
1 2 3
3 0 3
3 0 1
2 2 3
1 2 2
3 1 0
2 1 2
3 2 0
10 9
3 4 0
4 1 3
1 5 5
2 3 3
0 5 0
1 5 2
0 2 2
1 0 5
4 5 2
2 5 3
10 6
2 5 3
4 1 4
1 4 0
4 1 0
4 2 4
1 3 0
3 0 0
2 4 3
4 1 1
0 5 5
10 2
2 2 3
1 0 3
0 4 2
1 1 0
2 4 4
1 2 4
1 1 3
4 1 1
1 2 2
1 3 1
10 4
3 1 2
3 1 1
3 3 0
3 1 3
0 2 1
1 0 1
2 3 0
0 3 3
0 1 1
1 0 2
10 8
2 0 2
0 5 1
4 3 2
4 1 0
1 4 1
1 5 2
5 3 0
2 3 5
1 0 2
1 1 1
10 7
0 0 1
2 1 2
1 0 2
1 2 0
2 0 1
2 0 0
1 1 2
0 0 0
0 2 0
1 2 2
10 3
0 2 0
4 2 1
1 0 2
4 4 4
2 2 0
4 2 4
4 1 3
0 4 0
1 2 4
3 0 0
10 9
1 2 2
2 3 0
1 2 4
4 4 0
4 0 1
0 2 0
0 4 0
3 1 4
1 2 0
1 1 4
10 8
2 0 1
3 3 1
2 2 2
3 2 0
2 0 2
1 1 1
3 2 2
3 0 2
3 3 0
1 0 2
10 5
1 1 2
0 0 3
2 0 3
1 1 3
1 0 3
0 3 2
1 2 0
0 2 2
1 2 3
0 2 3
10 4
2 2 1
1 1 2
0 0 1
0 2 2
0 2 0
0 1 0
1 0 1
0 0 2
1 0 0
0 1 1
10 7
1 3 1
0 0 1
0 3 3
3 0 1
3 3 0
1 2 3
0 0 2
2 3 2
3 0 0
0 2 1
10 4
0 5 0
2 1 4
3 3 4
1 5 2
0 3 5
0 5 3
5 5 2
0 0 2
0 1 2
1 4 3
10 6
3 3 0
4 1 3
0 1 3
1 0 1
0 2 4
3 4 4
1 1 2
3 4 3
2 4 1
0 0 4
10 2
1 0 1
2 0 2
2 1 0
0 1 2
0 0 0
1 2 2
1 2 1
2 1 2
2 2 2
1 0 0
10 2
0 3 1
3 2 2
3 1 3
1 1 0
2 3 3
2 2 1
3 2 3
1 1 1
2 0 1
0 2 1
10 9
1 2 0
0 2 3
1 1 0
3 2 0
2 0 2
1 1 2
2 0 1
3 2 2
0 0 0
3 0 2
10 5
1 0 3
0 0 2
1 3 3
4 2 0
3 1 0
1 2 3
3 4 3
3 3 1
4 2 1
0 2 3
10 2
0 1 0
3 0 0
1 1 0
3 1 1
2 0 1
0 1 2
2 2 0
3 3 1
0 0 3
1 3 3
10 6
4 0 4
2 4 2
3 3 3
2 0 4
1 2 3
3 3 1
0 0 1
0 3 2
4 2 2
1 2 0
10 4
5 2 3
2 2 3
0 3 2
3 0 4
3 5 1
5 2 2
0 2 0
5 2 4
2 1 2
5 2 0
10 9
0 0 0
1 2 0
0 1 2
2 2 1
1 1 0
0 2 2
0 1 1
1 1 2
0 1 0
1 2 1
10 4
0 1 1
1 2 1
0 0 1
1 0 0
2 2 1
0 2 1
2 1 1
2 2 2
1 0 2
0 2 0
10 3
2 1 2
1 0 0
1 0 2
2 0 0
2 2 1
2 1 0
1 0 1
2 1 1
2 0 2
0 1 1
10 9
4 3 0
0 3 4
1 0 0
2 0 2
1 2 1
4 4 4
3 4 3
0 1 2
0 2 2
3 2 2
10 3
0 2 0
1 0 1
3 4 1
1 5 5
5 0 1
0 4 3
2 0 1
0 2 1
5 4 1
2 2 3
10 9
4 3 1
3 1 4
4 3 0
1 1 1
0 4 2
2 3 4
2 4 0
0 1 4
3 3 3
1 0 3
10 7
1 2 3
5 0 4
5 2 3
5 0 1
0 5 3
3 2 0
2 5 4
4 0 3
5 1 1
4 4 2
10 7
0 0 1
0 1 1
1 0 0
2 1 0
2 0 1
1 1 1
1 2 0
2 2 2
1 0 2
1 1 2
10 7
2 3 2
4 5 0
3 4 3
4 3 0
0 3 4
2 5 2
1 5 4
4 0 3
2 0 2
4 0 1
10 5
1 3 3
2 4 4
0 2 3
4 3 0
0 4 1
3 3 4
0 0 4
3 4 4
1 2 0
4 0 2
10 5
3 5 5
5 3 1
5 3 4
2 5 4
0 5 4
5 2 0
3 2 5
2 5 2
4 0 0
5 0 4
10 4
3 0 0
0 1 1
3 3 1
3 1 3
2 3 3
1 2 3
1 1 1
3 0 1
0 2 2
0 1 0
10 2
1 0 1
2 2 1
1 2 2
2 0 2
2 2 0
0 1 0
0 0 1
0 2 0
0 0 2
0 0 0
10 9
0 2 1
1 0 3
3 0 1
0 0 2
1 2 1
3 3 2
2 0 0
0 1 1
3 2 1
3 1 2
10 7
3 1 0
1 1 0
1 2 0
0 3 2
3 3 1
0 2 1
0 3 3
0 3 0
2 2 1
1 3 3
10 7
0 1 2
2 0 0
1 0 1
2 2 1
1 2 2
0 1 1
1 1 1
2 0 1
2 0 2
0 0 1
10 3
4 2 0
2 0 2
2 0 0
2 1 2
1 2 2
3 3 0
0 2 4
2 2 1
0 2 0
2 2 2
10 6
0 0 3
1 3 3
4 3 1
4 2 3
1 1 1
1 2 4
3 1 4
0 3 1
3 4 0
3 4 2
10 5
4 2 4
1 1 4
2 4 4
2 3 1
1 3 3
4 4 0
1 4 0
0 1 0
2 1 4
1 4 1
10 6
3 1 0
0 2 3
1 1 3
1 3 3
2 0 2
2 3 0
1 3 0
3 1 3
2 1 1
2 2 1
10 2
4 0 2
2 0 5
0 5 5
2 5 2
5 2 1
0 4 3
1 3 3
3 5 1
1 5 4
1 3 1
10 3
3 3 3
0 4 1
1 1 1
4 3 2
4 4 3
1 2 3
2 1 4
1 2 2
1 3 4
1 2 4
10 5
1 5 4
0 4 1
0 0 2
2 2 1
5 2 1
1 4 5
4 5 1
3 5 2
5 0 1
2 4 1
10 9
4 4 4
0 4 3
3 2 1
2 3 3
0 1 4
4 1 0
1 4 2
4 0 3
3 3 4
1 2 3
10 5
0 0 1
0 1 0
2 2 1
1 1 0
2 2 2
2 1 0
2 1 2
0 1 2
2 1 1
2 0 2
10 3
0 1 1
2 0 1
2 2 2
1 0 0
0 0 2
0 0 1
0 2 2
2 2 1
1 0 1
1 2 1
10 3
1 4 3
3 2 4
1 2 2
4 2 0
0 3 0
1 2 4
2 0 0
1 1 2
0 4 1
3 1 3
10 5
0 2 0
2 0 0
1 2 2
0 2 2
2 0 2
1 1 0
2 2 2
2 1 1
1 2 0
2 0 1
10 9
3 3 2
4 2 0
5 2 1
1 0 4
4 0 2
1 3 3
1 5 3
0 2 5
4 1 1
3 5 4
10 7
3 4 0
5 0 3
5 4 3
1 3 1
0 4 2
3 3 5
3 4 4
0 1 5
4 3 0
4 1 5
10 5
0 2 3
5 5 3
1 1 5
3 4 0
3 2 2
3 4 4
0 1 0
4 1 1
3 5 5
2 3 3
10 6
1 0 2
3 1 2
2 1 1
0 2 2
2 2 0
1 1 1
0 1 1
0 0 2
0 3 2
3 0 1
10 7
1 4 1
3 3 1
3 4 3
1 3 1
2 1 1
2 0 3
2 2 4
1 3 4
4 4 4
4 2 3
10 7
0 4 0
3 0 4
2 0 0
3 4 2
5 4 3
2 0 1
3 0 1
4 0 1
5 5 0
4 5 2
10 2
1 4 1
2 0 0
3 4 2
3 3 4
0 0 1
2 3 0
4 1 2
4 3 4
1 3 0
0 3 3
10 9
2 1 2
2 0 1
0 1 2
0 0 0
1 2 2
0 1 0
0 1 1
1 1 2
1 0 0
1 2 0
10 3
2 2 2
2 0 1
0 1 2
2 1 1
0 1 0
0 1 1
2 1 2
1 2 2
1 1 2
2 0 0
10 4
0 2 2
1 2 0
0 0 1
1 1 2
2 2 0
0 0 2
2 0 1
0 1 0
2 2 1
1 1 0
10 6
2 2 0
3 1 5
5 3 3
0 5 3
2 4 3
1 2 1
2 5 0
3 1 1
1 3 4
4 5 4
10 2
3 1 3
2 2 2
0 1 3
0 3 3
1 0 3
0 1 1
1 2 1
1 0 1
2 0 1
3 2 3
10 2
1 1 3
2 3 0
3 1 3
2 2 3
1 0 1
1 1 0
1 0 3
0 2 3
2 1 0
2 0 1
10 3
1 0 2
0 0 1
2 2 1
2 0 0
1 0 0
2 2 0
2 2 2
0 1 1
1 2 2
0 2 0
10 7
0 1 0
1 0 0
1 1 0
1 1 2
0 0 2
2 0 2
0 0 0
0 2 1
1 2 2
0 2 2
10 2
3 2 4
2 3 1
4 1 2
3 1 4
2 3 0
4 3 1
3 1 2
3 2 1
4 2 3
0 1 2
10 5
3 0 2
3 4 3
1 4 2
1 4 1
3 4 4
2 0 1
4 4 4
2 1 4
3 1 3
0 4 1
10 7
2 1 0
0 0 1
2 1 1
2 0 2
1 2 2
2 1 2
2 0 1
0 0 2
1 0 0
1 0 2
10 5
0 1 2
2 0 0
2 1 1
1 1 0
1 0 1
1 1 2
1 2 0
0 2 1
1 2 1
0 2 2
10 5
0 2 1
1 0 0
0 3 3
3 3 1
3 4 4
3 1 2
3 0 3
4 4 1
4 1 0
0 2 2
10 6
3 2 3
1 0 0
1 4 2
2 3 4
1 0 1
3 4 2
3 2 1
1 2 0
2 0 4
2 2 1
10 2
2 2 1
0 0 2
4 2 0
0 0 3
1 3 1
4 2 2
4 3 2
2 1 0
1 3 3
3 0 4
10 5
0 1 0
4 2 1
2 2 1
4 0 3
2 0 1
2 3 3
0 4 2
2 0 4
3 4 3
0 3 2
10 4
2 3 2
3 2 3
0 2 4
0 4 2
1 4 4
3 3 4
1 2 1
4 2 1
1 3 3
4 4 1
10 9
2 5 3
0 0 5
4 1 5
1 4 4
4 0 1
0 2 3
0 5 2
3 0 1
2 5 4
1 4 3
10 2
1 2 1
2 0 0
1 2 0
2 2 0
0 0 2
1 1 0
2 0 2
2 1 2
1 0 0
0 2 1
10 5
0 3 1
3 1 1
1 1 0
2 2 3
1 0 3
3 0 1
0 2 2
2 0 0
1 3 1
1 3 0
10 2
3 1 3
3 2 0
2 0 2
2 3 1
0 0 2
1 1 0
3 0 2
0 3 2
1 2 3
0 3 3
10 2
3 1 0
0 0 3
1 0 3
2 1 1
3 1 2
0 0 0
3 0 2
1 0 0
3 2 0
0 1 0
10 4
0 4 2
0 3 2
2 1 1
4 1 4
3 4 3
2 4 0
1 2 1
4 1 1
3 0 2
4 1 2
10 5
4 3 3
5 4 5
4 1 0
2 2 4
4 2 5
0 4 0
5 5 2
0 1 0
3 2 0
5 5 3
10 7
2 2 3
2 3 2
3 4 3
2 0 0
3 3 3
3 2 1
4 0 3
4 4 2
1 0 2
0 1 4
10 7
0 1 0
2 2 0
1 1 0
0 0 1
1 2 2
2 1 2
0 1 1
0 2 0
0 0 2
1 1 2
10 6
3 3 3
1 0 3
1 2 3
1 1 0
1 1 1
2 2 1
0 0 1
1 0 2
2 3 1
2 0 3
10 9
2 2 3
2 3 2
0 0 3
3 3 0
0 2 2
2 0 0
0 1 0
0 1 3
2 1 0
0 3 1
10 9
3 4 4
3 5 0
0 3 2
4 3 5
2 2 1
5 2 5
3 3 2
3 0 5
3 5 5
2 4 0
10 8
1 2 1
0 2 0
0 0 2
2 0 2
1 2 2
2 0 1
0 0 1
1 1 0
2 1 0
2 1 1
10 6
2 1 4
0 2 4
3 2 3
0 0 5
4 5 3
5 3 2
4 4 5
4 4 1
3 4 4
0 3 0
10 5
3 4 2
3 2 3
2 0 0
3 2 0
1 2 4
3 4 0
2 3 4
2 2 1
3 1 4
2 2 4
10 8
2 0 3
0 2 0
1 3 3
0 3 0
1 1 3
3 0 1
3 3 1
3 3 0
3 1 3
0 1 2
10 5
2 0 3
3 0 3
0 2 2
1 0 3
3 0 2
1 3 0
3 0 0
0 1 0
1 1 2
3 3 1
10 5
5 5 4
5 2 3
1 2 0
3 4 2
4 1 3
4 4 0
1 0 2
2 1 5
5 2 0
4 5 3
10 7
1 2 1
1 0 0
0 1 1
1 0 1
1 1 1
0 2 1
2 2 0
0 0 0
0 0 1
2 1 2
10 5
2 1 0
2 0 0
1 2 1
0 0 0
1 0 2
1 1 2
0 0 1
2 2 0
1 2 0
1 0 1
10 7
1 1 0
3 2 4
0 1 2
2 0 0
0 2 0
2 1 3
4 2 4
3 2 2
1 3 0
1 2 0
10 7
2 4 1
2 3 3
2 4 2
1 2 4
4 3 2
2 1 4
1 0 3
1 3 0
1 2 1
2 4 3
10 3
2 1 3
0 0 2
3 2 2
2 2 1
1 2 0
3 1 3
0 0 0
3 0 2
2 0 2
2 3 1
10 6
3 1 2
1 0 4
1 1 1
0 2 4
0 1 4
0 0 4
4 1 1
0 3 1
4 0 3
0 2 1
10 7
3 5 1
1 5 5
0 1 4
0 0 1
2 2 0
1 2 3
1 2 5
3 1 4
3 2 4
5 3 3
10 8
4 0 4
0 0 0
1 4 4
4 1 0
0 4 4
0 1 2
3 4 2
0 3 0
3 4 4
4 1 2
10 4
0 2 2
2 2 0
1 1 0
2 3 1
2 1 1
0 1 0
0 0 1
3 3 3
1 3 1
1 3 2
10 7
1 3 0
0 1 0
0 4 4
0 0 4
2 0 3
1 0 4
2 3 2
4 1 3
1 3 3
2 1 2
10 6
2 4 1
4 2 4
3 4 2
3 1 3
1 0 3
2 1 1
0 0 2
1 3 4
0 4 2
2 1 3
10 2
0 3 3
1 3 1
2 0 3
0 1 3
0 2 1
0 2 0
0 2 3
4 4 3
1 4 1
2 1 2
10 4
2 0 2
2 2 1
2 1 2
1 0 0
1 1 1
2 2 2
0 0 1
0 1 0
0 1 1
1 0 2
10 5
1 2 2
2 1 2
1 2 1
2 2 2
1 2 0
2 0 0
1 1 1
0 1 0
2 0 1
1 0 1
10 6
3 1 0
3 0 0
0 3 0
0 0 3
1 2 1
3 3 3
1 2 0
1 1 3
0 1 2
2 0 1
10 7
0 4 0
1 2 2
0 3 5
4 3 5
5 5 4
3 1 1
3 5 0
4 4 1
4 0 4
3 4 2
10 2
4 2 1
0 3 1
1 1 0
0 3 0
1 2 3
4 1 1
1 0 3
0 1 4
4 4 1
4 3 4
10 5
0 2 3
4 0 1
2 3 0
0 0 4
1 0 1
4 2 2
2 0 1
4 1 4
1 0 4
2 4 0
10 8
0 0 2
2 0 0
2 0 1
0 0 1
2 2 2
1 0 0
1 2 0
0 1 1
2 2 1
1 1 0
10 2
0 1 2
2 2 2
1 2 1
0 0 2
2 1 1
1 2 2
1 2 0
0 1 1
2 2 1
2 0 1
10 5
2 1 3
1 3 2
2 1 2
2 0 2
3 3 3
2 2 0
1 1 0
1 0 3
0 0 0
2 1 1
10 8
1 2 4
5 4 3
4 0 0
3 4 2
0 1 0
2 3 3
2 5 2
5 1 4
1 3 0
5 5 2
10 2
0 2 1
0 0 2
1 0 1
2 2 0
1 2 1
0 1 1
1 2 2
2 0 2
2 1 2
0 2 0
10 6
5 4 2
4 2 4
4 0 3
5 1 3
5 0 1
5 5 0
5 2 2
4 5 1
3 2 4
2 3 4
10 9
1 3 4
2 3 4
2 0 4
3 2 1
5 5 5
1 2 2
4 4 1
1 4 5
5 5 0
5 0 5
10 6
1 2 2
0 2 1
0 1 0
1 2 0
1 1 2
2 0 0
1 0 2
2 1 2
0 0 2
0 1 1
10 9
1 0 4
2 0 4
2 3 0
1 4 3
3 3 3
4 0 4
1 3 3
2 4 0
4 0 1
3 2 3
10 5
3 3 0
0 1 0
2 2 3
3 2 2
1 3 2
3 1 0
2 1 2
3 3 2
3 2 0
1 0 1
10 5
4 2 4
1 1 1
2 2 0
1 4 2
4 0 0
4 1 3
0 3 3
0 2 3
2 3 4
3 1 2
10 7
1 0 2
2 3 0
2 1 1
0 1 3
2 3 4
4 2 0
2 3 1
3 1 4
1 0 0
2 4 4
10 6
2 2 3
3 0 1
1 1 3
1 1 0
2 1 2
1 0 0
0 0 2
2 1 1
3 1 0
0 2 3
10 3
3 1 1
0 0 0
1 0 0
0 3 2
3 2 2
1 2 2
1 1 0
3 2 0
0 3 0
3 3 0
10 3
0 2 0
0 3 3
1 2 1
2 2 2
3 2 3
2 3 0
0 1 3
3 3 0
0 2 1
1 0 2
10 4
3 0 2
3 1 2
1 2 1
3 1 3
1 3 3
2 2 0
1 2 3
0 1 2
1 2 2
2 2 2
10 2
2 2 1
2 1 2
1 1 1
2 0 1
1 1 2
0 0 2
1 2 0
0 2 0
0 2 2
1 1 0
10 9
5 1 1
5 1 0
3 5 4
1 5 3
4 3 2
4 0 3
1 5 4
3 1 4
4 0 5
1 5 0
10 9
0 2 0
0 1 1
0 3 1
1 1 0
0 1 0
3 2 3
3 2 1
2 3 1
2 0 3
0 2 1
10 5
0 1 2
0 0 0
2 2 0
2 0 0
2 2 2
2 1 1
1 1 1
1 0 1
0 2 2
1 2 0
10 4
2 1 1
1 1 2
0 1 2
3 3 3
0 0 2
1 2 0
1 2 2
3 0 0
0 3 0
0 2 1
10 4
0 0 5
2 3 3
5 5 5
1 1 5
0 0 4
2 1 0
4 4 5
4 1 0
3 0 1
1 0 2
10 2
4 5 2
5 0 3
2 1 2
4 1 3
0 2 3
0 1 4
1 0 3
3 1 1
5 3 2
1 1 2
10 5
3 1 2
1 3 0
1 1 0
3 2 4
1 1 3
2 1 4
4 1 1
4 3 0
3 0 3
1 0 4
10 5
3 1 1
4 3 4
1 4 3
2 4 3
0 1 3
3 4 3
1 1 0
4 1 4
4 4 0
1 0 2
10 3
3 1 1
2 1 2
3 2 1
3 3 2
2 1 3
2 2 2
0 1 0
1 1 3
3 3 3
2 1 1
10 3
5 2 3
1 5 1
4 0 2
1 2 1
1 5 3
1 1 1
3 1 5
3 5 2
2 4 1
5 0 5
10 3
0 3 0
0 2 3
1 3 3
3 3 0
3 2 0
2 2 2
0 3 1
2 3 0
0 1 0
3 2 2
10 9
1 3 4
4 3 3
3 2 1
4 0 3
0 2 0
4 4 2
4 0 0
3 2 0
3 3 3
2 0 4
10 6
1 1 2
2 2 3
2 1 1
3 2 2
3 3 2
2 0 3
2 3 0
0 1 3
2 3 3
1 3 2
10 2
2 1 4
4 4 3
4 1 3
1 2 5
3 3 2
4 5 2
5 0 5
0 3 1
1 3 3
5 4 2
10 6
1 1 0
0 0 0
2 1 1
1 1 2
2 0 1
2 2 0
2 1 0
0 1 2
2 2 2
1 2 0
10 7
0 0 0
0 2 1
2 0 0
0 1 2
1 0 1
0 2 0
0 0 2
2 2 2
1 2 1
2 1 1
10 8
0 1 1
1 1 2
3 3 1
1 2 0
3 1 3
1 2 2
3 0 3
0 1 2
3 0 2
0 2 3
10 8
0 0 2
0 1 0
0 1 2
2 1 0
0 0 0
2 2 0
0 1 1
1 1 0
1 2 0
2 0 0
10 3
3 3 1
1 3 1
2 1 1
3 3 2
0 3 1
3 3 3
0 0 0
0 3 0
2 3 0
1 0 3
10 8
3 4 0
4 1 4
1 4 4
2 0 2
2 3 2
1 3 3
1 0 1
2 3 4
0 3 3
0 1 0
10 8
4 4 2
3 1 3
2 4 3
1 1 0
2 0 1
2 3 0
1 0 2
2 0 4
4 2 2
1 3 0
10 4
2 2 5
4 1 1
3 5 4
1 2 2
5 4 5
4 2 0
5 1 1
2 5 1
5 4 2
5 2 3
10 3
5 3 4
1 5 5
0 3 2
3 1 2
1 5 2
2 3 2
1 2 3
2 0 2
3 2 1
1 4 3
10 7
4 4 4
0 2 1
5 3 2
3 3 1
3 3 3
5 0 0
1 0 0
2 1 0
0 0 2
1 0 2
10 3
1 1 0
3 4 0
0 1 3
3 2 1
1 0 2
3 0 0
0 4 2
1 1 1
1 1 2
1 4 1
10 2
0 0 1
2 2 1
1 2 0
0 2 2
0 1 1
1 0 2
1 1 1
1 0 1
1 1 2
2 2 2
10 3
0 3 3
3 4 1
3 2 3
3 0 0
2 0 3
1 1 0
2 4 3
2 3 4
1 0 0
2 0 0
10 6
4 4 3
0 2 2
0 1 0
4 2 4
1 0 3
0 4 2
2 0 2
2 0 4
1 2 3
3 4 4
10 6
2 3 0
2 2 1
4 1 2
4 1 3
2 1 2
3 3 2
0 0 4
0 2 3
4 3 3
4 1 4
10 2
0 3 0
0 5 5
3 3 1
3 3 5
4 5 3
5 5 0
4 1 4
1 1 2
0 3 1
4 1 2
10 5
4 1 0
4 0 4
3 4 2
5 1 4
5 2 2
2 1 2
1 3 4
2 4 2
5 4 0
1 4 0
10 9
2 1 0
3 0 1
3 3 4
3 0 4
1 4 2
0 2 2
0 1 4
3 4 4
3 3 2
0 4 4
10 3
0 0 2
1 1 2
2 0 0
2 1 0
1 0 0
1 2 0
0 2 0
1 2 2
1 1 1
0 0 0
10 3
2 0 2
1 0 0
0 1 0
0 0 2
2 1 2
0 1 2
2 0 0
1 1 2
0 2 2
2 2 2
10 3
4 4 2
1 1 2
1 4 2
1 3 3
3 1 0
4 1 1
4 4 4
3 1 4
1 3 0
0 4 3
10 6
2 1 1
3 0 2
0 0 1
2 2 1
1 3 1
3 0 0
0 3 0
3 1 2
3 3 0
1 3 2
10 8
0 2 1
1 2 0
1 1 1
1 2 2
0 1 1
0 0 1
0 1 0
2 1 1
0 1 2
1 0 2
10 4
0 3 4
4 2 3
5 4 1
2 4 1
0 5 0
5 1 3
4 2 0
0 1 4
5 0 3
0 0 0
10 5
1 3 1
3 5 4
3 3 4
0 0 0
5 3 0
3 2 3
2 4 4
5 0 1
4 5 2
2 2 1
10 5
1 1 1
1 0 1
1 2 1
1 1 0
1 1 2
2 1 0
2 1 1
0 1 0
0 1 1
0 0 1
10 8
1 0 0
5 0 0
5 4 5
1 1 3
0 3 1
2 0 2
2 4 1
0 5 2
2 0 1
5 5 2
10 5
1 1 0
0 0 1
0 2 2
1 1 1
1 1 2
0 1 2
0 1 1
1 0 2
2 1 0
1 2 1
10 8
1 3 2
2 1 2
1 0 1
2 1 0
1 3 1
0 3 1
1 2 3
0 3 2
2 2 1
1 0 3
10 4
3 1 3
0 1 4
2 0 2
3 3 4
4 4 1
3 2 1
0 1 0
4 0 2
1 0 2
0 2 0
10 4
2 1 1
1 2 2
0 0 0
2 0 0
2 2 1
2 2 0
2 1 2
0 2 0
1 2 0
0 1 2
10 9
4 3 4
3 0 3
1 4 0
3 0 5
1 2 5
1 3 1
3 3 2
0 2 2
5 2 5
2 3 4
10 4
0 2 4
3 4 4
3 1 2
3 0 1
4 2 2
0 1 4
1 2 3
0 1 1
2 0 4
1 0 1
10 4
1 2 2
0 1 2
0 2 0
1 1 2
0 1 1
2 0 1
1 1 1
2 1 1
1 2 0
1 0 2
10 4
2 3 2
5 2 4
5 0 1
3 3 4
2 2 4
5 4 5
3 3 2
0 3 3
4 0 4
5 4 0
10 5
3 3 3
4 0 2
4 1 1
2 2 2
1 1 4
2 1 4
2 4 2
1 1 3
0 1 3
1 4 4
10 7
1 0 0
5 0 5
5 5 2
0 1 5
5 4 0
5 0 4
4 3 3
4 4 4
3 1 3
2 3 5
10 6
0 1 1
2 0 3
1 4 1
3 2 4
0 3 0
2 0 1
3 2 3
2 3 3
0 0 2
2 2 3
10 6
3 0 2
0 1 0
0 2 2
1 1 3
1 0 1
3 2 1
2 1 1
1 2 3
1 1 1
2 0 3
10 9
0 3 0
2 1 3
1 1 1
2 3 2
2 3 1
2 0 0
3 3 2
3 3 3
2 2 1
2 2 2
10 8
1 2 2
2 0 2
2 1 2
0 1 0
2 1 1
1 0 1
0 2 0
2 2 2
2 0 1
1 0 0
10 9
1 2 2
2 2 3
2 3 0
3 1 1
3 4 0
2 1 2
0 2 0
1 4 0
3 4 3
3 0 2
10 8
1 0 3
0 2 3
1 0 0
3 0 1
3 3 0
3 3 2
0 2 1
1 1 3
0 1 3
2 2 2
10 6
1 1 1
2 0 2
2 3 0
2 3 1
0 0 3
2 3 2
1 2 0
3 3 3
1 0 0
1 2 1
10 5
0 0 2
1 0 1
5 2 5
0 3 2
2 4 5
5 2 3
3 5 1
2 0 3
0 3 4
5 0 2
10 7
1 0 2
0 0 2
0 1 0
2 1 2
1 2 2
1 2 1
2 0 2
0 1 2
1 1 0
0 2 2
10 9
3 1 0
5 1 4
5 2 4
2 3 0
4 5 2
3 5 5
5 5 3
1 2 3
1 3 1
3 4 2
10 4
1 0 0
4 1 1
2 3 1
4 3 1
4 4 1
3 4 1
3 2 0
2 3 4
0 0 0
1 3 2
10 9
0 2 0
0 0 2
0 2 2
1 1 1
2 0 2
2 2 2
1 2 0
1 2 1
1 0 1
1 0 0
10 4
1 1 0
0 0 1
2 2 1
0 1 1
2 0 0
2 2 2
0 2 0
1 1 1
2 0 1
1 2 0
10 4
0 1 1
2 3 1
0 0 2
1 3 3
2 3 3
3 1 0
2 0 2
2 1 0
0 0 1
3 1 2
10 9
3 0 1
3 3 1
4 4 2
0 0 0
2 3 3
1 2 4
3 1 3
0 0 4
1 3 1
2 0 2
10 7
0 0 2
0 3 3
1 3 3
1 1 1
1 3 0
1 3 1
1 1 0
2 2 3
0 3 1
1 2 3
10 4
3 1 1
1 3 0
2 0 0
1 2 2
2 3 3
3 0 1
2 2 1
1 0 0
1 2 1
3 1 3
10 4
2 1 3
3 1 2
2 1 0
0 3 3
0 3 1
0 1 3
3 2 1
2 3 1
3 3 2
1 3 3
10 9
3 2 3
1 2 2
4 4 4
4 1 3
4 1 4
4 2 3
2 2 5
3 3 2
3 4 5
3 3 3
10 2
3 0 0
0 1 3
0 0 3
2 2 2
0 1 1
3 3 2
1 0 3
2 0 0
0 3 0
1 1 0
10 3
3 4 3
2 2 0
0 0 3
4 4 3
4 2 0
4 0 3
1 0 4
2 3 1
2 4 4
4 1 2
10 5
2 2 0
1 1 2
0 1 1
2 2 1
1 0 0
0 0 2
0 1 2
1 2 0
0 0 0
1 0 2
10 9
5 3 1
4 3 1
4 4 3
5 1 4
5 4 2
0 3 1
3 1 0
1 0 5
0 2 5
0 5 5
10 7
2 4 1
3 2 0
2 4 3
1 2 4
0 1 3
0 1 1
0 3 3
1 1 3
3 4 0
0 1 0
10 3
4 4 0
3 3 5
1 5 4
4 4 3
5 3 3
3 1 5
1 3 2
5 0 5
2 3 2
2 1 0
10 9
0 4 4
3 2 1
2 0 4
0 0 4
0 4 2
4 3 1
0 0 0
3 2 4
4 1 2
3 0 2
10 9
0 1 1
2 1 2
2 0 2
0 2 1
0 2 2
1 2 1
0 0 2
2 2 0
2 2 1
0 0 0
10 8
2 0 4
0 0 0
4 3 5
5 3 5
1 0 4
1 2 5
3 0 2
2 1 1
1 3 3
1 5 0
10 7
5 4 3
4 1 2
0 4 1
0 1 0
3 4 2
3 4 0
4 3 0
0 2 5
4 4 2
4 2 3
10 6
2 2 2
2 3 1
3 0 0
1 3 2
3 3 1
3 1 2
2 3 0
1 0 3
1 2 2
3 3 3
10 3
0 0 3
0 3 1
3 1 2
1 0 0
2 0 1
1 1 1
2 0 2
0 1 0
2 1 1
0 2 2
10 9
2 0 4
4 0 0
2 2 3
3 1 4
1 2 2
3 3 0
4 4 2
0 4 0
4 2 1
0 2 1
10 7
0 4 3
3 5 0
4 5 0
2 1 2
0 2 3
5 4 1
5 5 1
2 4 2
0 5 4
2 2 1
10 4
2 0 5
2 0 4
3 5 1
3 4 1
0 2 0
0 5 5
0 3 2
5 5 1
4 3 4
3 0 3
10 4
1 2 0
1 2 1
1 2 2
3 3 1
3 3 2
1 2 3
1 1 1
2 3 2
3 3 3
0 1 0
10 7
2 1 1
4 4 1
1 3 1
0 3 1
3 0 4
3 3 2
1 2 4
0 1 0
4 1 0
3 0 0
10 2
1 2 3
2 0 2
2 4 2
0 0 0
4 0 0
4 0 4
2 0 4
3 2 3
3 0 4
3 4 4
10 9
0 0 0
2 2 2
5 5 0
5 4 3
4 4 0
5 2 5
2 4 0
0 4 5
3 3 1
4 2 2
10 2
4 5 1
3 2 4
0 4 0
1 2 3
2 4 4
5 2 3
1 1 0
0 4 5
2 5 2
0 1 3
10 4
2 0 4
0 2 4
0 4 0
0 1 1
2 1 4
4 3 2
2 5 1
4 3 1
3 3 3
5 5 0
10 6
0 2 0
4 3 1
4 0 2
3 0 4
3 3 0
0 1 1
3 3 1
0 0 3
4 0 3
1 4 4
10 3
2 1 1
0 0 1
1 0 0
2 0 0
0 1 2
0 2 2
1 1 1
2 2 1
0 1 0
0 0 2
10 2
5 1 3
2 4 5
0 2 5
0 2 4
4 3 0
3 0 0
1 4 0
5 1 0
3 2 2
5 5 0
10 8
2 2 0
2 2 2
1 1 0
0 0 1
1 1 1
2 0 2
2 1 0
1 0 0
1 2 2
1 2 1
10 6
0 2 0
2 0 2
1 2 1
2 2 2
1 0 2
2 2 0
0 0 0
0 1 1
1 1 0
2 0 0
10 4
0 0 0
2 2 2
1 2 1
1 1 0
0 0 2
1 2 0
1 0 2
0 1 0
0 2 0
2 1 1
10 3
3 2 2
3 3 2
0 0 2
0 3 1
0 0 1
2 1 1
1 3 0
1 3 1
0 0 0
0 0 3
10 3
0 4 2
1 1 4
3 2 0
3 4 3
3 1 4
2 3 3
3 4 2
4 1 1
0 4 3
1 0 2
10 5
0 3 2
0 3 0
2 3 1
0 4 1
2 0 3
3 1 3
4 0 4
2 2 4
1 4 3
4 2 2
10 6
2 3 2
1 1 3
0 0 3
0 3 1
1 3 1
2 3 3
1 2 0
0 0 1
2 3 0
0 3 0
10 4
4 5 2
2 0 3
5 4 3
2 2 4
3 3 4
3 3 5
0 1 0
0 2 5
4 4 1
1 0 0
10 4
1 1 1
3 0 3
3 0 1
0 1 0
1 2 1
2 2 1
2 0 0
0 0 1
0 3 0
1 0 1
10 6
0 2 0
0 1 2
0 2 2
2 2 0
2 0 1
0 0 1
1 0 0
0 1 0
1 2 2
1 1 0
10 7
3 2 0
4 2 0
3 0 3
1 4 4
1 1 2
2 2 1
4 2 4
1 0 3
4 0 0
4 3 3
10 5
3 2 0
2 3 1
2 1 0
2 4 0
3 1 4
1 3 3
3 1 0
1 2 0
2 0 3
4 1 1
10 8
1 2 1
1 1 2
1 2 0
1 1 1
1 0 1
1 0 3
0 0 3
2 3 3
2 0 3
0 0 1
10 9
1 0 2
0 1 1
0 1 2
2 0 1
0 0 0
2 2 2
1 2 0
1 1 2
2 2 1
2 1 2
10 4
3 1 2
1 1 2
0 3 3
3 2 1
1 0 0
1 2 1
0 3 0
2 2 3
1 0 2
0 1 1
10 2
3 2 0
3 0 2
0 1 3
2 0 2
0 3 2
0 3 3
0 0 2
2 1 1
1 0 3
2 2 1
10 8
1 1 1
0 2 2
1 1 2
0 2 0
1 2 1
2 0 2
0 0 0
2 2 1
1 2 0
0 1 0
10 7
2 0 2
1 0 0
2 2 2
0 2 1
1 2 0
2 2 1
2 2 0
1 0 1
2 1 0
0 2 0
10 3
4 3 5
5 1 2
3 1 0
0 3 3
0 0 3
2 4 0
4 2 3
2 4 3
2 1 5
3 4 5
10 7
0 1 2
0 0 0
1 2 0
1 0 1
0 1 1
2 2 1
2 0 0
0 2 1
2 1 2
2 1 1
10 6
4 4 3
2 1 1
4 0 0
2 3 4
0 4 3
4 2 4
0 0 3
2 3 2
3 4 3
3 3 0
10 3
4 2 0
4 0 1
2 3 4
2 2 3
0 0 0
4 4 1
3 2 4
1 1 3
3 3 1
0 4 4
10 7
2 4 2
0 1 1
1 1 2
1 2 1
2 1 3
2 4 4
2 4 3
2 3 4
3 2 3
0 4 2
10 4
1 2 2
2 2 2
0 0 1
1 2 0
0 1 2
2 0 2
0 2 1
1 1 2
1 0 0
1 0 2
10 9
0 4 2
1 1 5
0 0 1
3 5 3
4 2 5
3 3 5
3 1 2
1 3 5
5 3 0
4 4 2
10 4
0 0 1
2 1 0
2 2 0
1 2 0
2 1 1
1 1 1
0 0 0
2 1 2
1 2 1
0 1 0
10 6
2 0 0
0 2 2
2 2 0
1 1 0
1 2 0
1 1 1
2 0 2
1 2 2
2 1 2
0 0 1
10 2
4 1 1
1 4 1
2 1 1
1 4 0
3 1 2
0 2 4
3 1 1
2 2 2
1 3 3
4 4 1
10 3
2 0 2
2 2 1
2 2 0
0 1 2
2 0 0
2 1 1
1 0 1
1 2 0
2 0 1
1 1 2
10 5
2 0 0
0 0 2
2 2 1
1 2 2
1 1 2
0 1 2
0 2 0
1 2 1
1 0 2
0 2 2
10 9
1 0 0
0 0 0
1 1 0
2 1 1
0 1 1
0 0 2
1 2 2
2 0 2
2 2 0
0 2 1
10 6
3 0 2
2 0 2
2 1 2
3 2 3
1 2 3
2 0 4
4 0 4
4 1 1
0 4 4
0 0 1
10 8
3 1 4
4 4 1
4 2 4
3 4 1
4 2 2
4 4 0
4 1 0
1 4 2
0 3 1
4 2 0
10 5
2 2 1
1 2 3
1 3 0
1 3 3
1 1 2
1 0 1
1 0 0
3 1 3
2 0 1
3 0 2
10 2
0 0 0
2 0 0
0 1 0
1 1 0
1 2 1
0 2 0
2 2 1
0 1 1
1 0 2
2 2 2
10 9
4 1 2
3 5 0
5 2 5
0 0 4
3 1 5
3 4 5
3 2 4
1 1 2
3 0 3
5 1 0
10 6
3 5 0
1 4 4
3 5 3
2 3 4
3 1 3
3 5 4
3 2 1
1 1 5
2 3 1
1 3 3
10 3
2 0 0
0 1 2
3 1 0
1 3 3
2 2 1
3 3 1
0 0 2
0 2 0
0 1 3
2 1 2
10 8
3 0 2
1 0 1
2 2 1
3 1 1
0 3 1
2 3 3
2 3 2
1 0 2
3 1 2
0 3 3
10 2
1 2 2
0 2 0
2 1 0
2 0 0
0 0 1
2 0 2
0 2 2
1 1 1
1 1 0
2 1 2
10 7
1 0 2
2 1 1
2 1 0
2 0 2
3 2 3
1 3 1
1 2 1
0 3 1
0 2 2
3 1 2
10 5
4 2 4
4 1 1
4 2 2
4 4 1
5 3 3
1 2 4
4 0 0
5 5 0
0 1 3
2 1 1
10 2
2 0 0
2 0 1
1 2 1
0 1 2
2 2 0
0 1 0
2 1 2
2 1 0
2 2 2
1 0 1
10 5
1 0 1
2 2 0
4 0 2
3 5 2
2 4 3
0 3 0
2 4 0
1 4 5
5 2 4
3 5 0
10 9
2 0 2
0 1 0
1 3 3
2 1 2
3 3 1
3 1 2
2 3 2
3 1 0
0 0 0
2 3 3
10 4
4 1 2
4 0 0
3 2 0
1 3 1
2 0 2
1 3 3
1 4 3
4 3 2
0 4 3
1 2 3
10 8
2 0 2
2 1 3
2 3 0
3 1 2
0 2 2
2 1 2
3 0 2
3 1 0
3 3 0
3 2 2
10 3
1 1 2
2 0 1
2 1 1
0 0 1
0 1 2
1 2 0
2 2 0
0 1 0
0 2 1
1 2 2
10 9
2 4 1
0 2 4
3 3 3
1 1 2
0 0 2
2 5 2
1 5 1
1 2 3
3 0 5
5 2 3
10 6
1 0 2
0 2 1
3 3 3
2 2 3
1 0 3
2 2 2
0 0 1
0 3 3
0 0 2
1 3 2
10 8
0 1 0
0 4 3
1 4 4
4 4 2
1 0 4
2 0 4
5 0 2
3 1 2
2 2 3
3 1 3
10 8
3 3 0
4 3 2
3 3 4
2 4 4
3 1 1
2 0 4
2 3 2
1 4 1
3 2 0
4 1 0
10 6
1 0 2
0 3 3
1 1 0
0 1 2
0 0 3
2 0 3
3 1 3
3 0 1
2 0 2
3 2 0
10 2
2 1 3
1 3 2
3 3 3
3 3 1
3 2 2
1 0 2
2 1 2
2 1 1
0 3 0
0 2 2
10 5
3 2 0
2 0 4
2 0 5
4 0 0
5 4 0
2 1 3
2 4 2
3 1 4
4 3 1
1 3 1
10 2
0 2 4
5 5 3
5 4 1
3 2 0
4 3 4
4 2 4
4 0 1
2 4 2
3 5 2
1 2 0
10 7
0 0 2
1 0 2
1 2 2
1 1 0
0 0 0
2 2 0
2 2 1
2 0 2
0 2 2
2 0 1
10 2
0 3 0
2 5 4
4 0 2
2 5 3
4 0 3
4 4 4
1 1 5
4 1 2
2 1 1
0 1 1
10 9
5 4 1
1 3 2
5 5 1
3 4 5
4 3 5
2 2 5
5 5 4
3 0 5
1 3 3
2 4 1
10 6
1 3 1
0 3 3
0 3 1
3 2 3
0 2 0
0 0 3
2 2 2
2 1 3
0 0 0
1 0 1
10 3
5 0 4
4 5 1
5 0 5
1 5 4
2 1 4
1 4 4
2 5 1
0 4 4
4 1 1
4 5 4
10 8
2 0 0
0 2 1
2 2 1
0 0 2
1 2 0
1 1 1
0 1 2
1 2 2
1 0 2
0 2 0
10 5
2 2 2
2 0 0
2 0 1
2 2 1
0 2 1
0 0 2
1 1 1
0 2 0
1 2 2
0 0 0
10 5
2 1 0
2 1 2
2 0 0
1 2 2
2 0 2
0 2 0
2 2 0
0 0 0
1 0 1
1 1 2
10 4
1 2 1
1 0 1
1 0 2
1 2 2
2 1 1
0 2 0
0 0 0
0 2 1
0 0 2
2 2 0
10 9
1 2 0
1 1 2
1 2 1
2 2 0
1 1 0
2 0 1
0 0 2
1 0 2
2 0 0
2 1 2
10 9
5 3 0
3 1 2
5 2 2
1 5 5
2 0 1
5 0 4
0 0 1
2 3 0
2 2 4
1 3 5
10 2
3 2 3
3 3 1
3 2 2
0 3 1
3 0 2
4 4 1
3 3 3
0 0 2
0 1 1
4 1 2
10 7
5 3 4
4 3 3
3 4 5
4 0 3
0 1 1
4 3 5
5 0 2
4 3 2
1 4 5
1 4 1
10 8
1 2 0
5 1 5
4 1 5
0 3 1
3 3 1
3 4 2
3 5 1
4 4 0
5 1 4
4 2 1
10 5
4 0 0
2 1 2
2 0 0
1 1 3
2 1 3
1 3 2
1 2 2
4 1 4
0 0 1
2 2 2
10 4
3 3 2
3 1 2
2 3 0
3 3 0
2 2 5
5 3 4
0 0 2
2 0 5
0 2 1
0 1 5
10 9
1 0 2
4 5 3
4 3 1
3 5 1
2 1 4
4 0 3
2 5 3
4 5 0
5 5 1
0 3 0
10 8
0 1 1
2 2 4
2 1 1
4 4 2
3 1 1
4 1 2
2 1 4
1 2 4
1 1 4
4 3 2
10 8
0 1 1
3 1 3
3 0 1
3 2 0
3 1 0
3 0 2
0 0 1
0 2 2
1 0 2
3 3 1
10 7
0 2 2
1 1 2
2 2 0
0 2 0
0 0 2
1 0 0
1 1 0
1 0 1
0 1 0
2 0 0
10 7
2 1 3
3 5 3
1 1 4
3 3 4
2 1 2
3 0 5
1 5 1
0 3 4
4 0 1
0 0 2
10 7
1 3 4
1 4 5
0 5 5
1 4 2
0 1 5
5 4 4
3 1 4
1 3 2
0 3 0
3 5 4
10 9
0 1 2
3 1 2
1 2 3
2 3 2
3 3 3
1 0 0
3 2 2
0 0 3
0 1 1
0 0 0
10 6
4 3 2
4 4 4
1 2 4
2 5 3
0 4 0
2 0 2
0 1 2
3 5 4
0 0 5
3 0 0
10 2
3 0 3
2 1 3
0 0 0
2 2 2
3 1 2
3 3 3
3 0 1
3 2 1
0 0 1
1 0 3
10 8
0 0 0
0 2 1
1 0 0
0 2 0
2 2 1
2 1 0
2 0 0
2 2 2
2 1 1
0 1 0
10 2
5 5 4
3 3 3
3 5 3
4 4 3
4 3 0
1 5 4
4 3 3
2 3 4
2 2 0
5 4 1
10 9
0 0 2
0 2 2
0 2 1
2 2 0
1 1 1
1 2 2
1 1 2
2 1 0
0 1 2
1 0 2
10 9
5 5 3
2 0 5
3 5 4
0 5 2
5 4 5
0 4 4
1 2 5
3 4 4
2 4 2
4 0 5
10 5
2 1 0
1 2 3
2 1 3
2 4 0
1 0 2
0 2 1
3 4 4
4 3 2
4 0 0
3 3 4
10 7
3 1 0
2 3 1
0 1 2
2 3 3
3 3 2
1 0 3
1 1 0
0 3 1
3 2 3
2 2 3
10 8
2 0 0
2 0 1
1 2 2
1 2 1
1 0 0
2 0 2
1 0 1
0 0 2
2 2 0
0 2 2
10 3
0 0 2
0 1 0
1 2 1
2 1 0
2 1 2
1 0 0
2 2 2
1 2 0
1 0 2
1 2 2
10 7
0 1 0
1 1 1
0 2 1
1 2 2
0 2 2
2 0 2
2 1 1
2 2 1
1 0 0
1 0 2
10 6
4 2 0
2 2 4
3 3 1
0 4 2
2 3 2
0 2 4
1 2 3
2 2 3
0 0 3
2 0 0
10 3
1 0 1
0 1 2
2 2 1
0 0 1
1 2 1
0 0 2
0 1 0
0 2 0
1 2 0
2 2 0
10 6
0 0 1
0 0 2
4 1 0
5 3 2
2 5 5
1 3 2
3 5 2
3 0 2
1 3 4
2 0 3
10 4
2 1 2
1 2 1
1 0 2
1 1 2
0 1 0
1 1 1
1 2 2
2 0 0
0 2 0
2 0 1
10 4
0 1 2
2 0 0
4 2 1
1 0 2
0 0 0
4 2 2
0 4 4
1 1 4
1 3 2
1 4 0
10 6
3 2 1
4 1 0
0 4 0
2 4 2
5 0 0
5 2 4
4 5 0
4 2 3
0 2 1
1 0 5
10 9
0 1 0
4 0 3
5 1 3
1 1 0
3 0 5
1 4 2
0 4 4
4 2 0
2 3 5
2 2 5
10 8
1 1 2
0 2 3
3 0 2
3 3 1
2 1 3
2 2 0
3 1 2
3 1 3
0 1 3
0 0 1
10 7
2 1 1
1 0 0
1 2 0
3 0 2
3 3 3
3 0 1
0 1 2
1 3 2
2 0 1
0 1 0
10 8
5 1 2
2 0 2
4 5 1
1 5 1
2 3 0
2 3 5
2 0 1
5 2 3
1 0 2
0 5 5
10 9
2 2 3
4 0 0
1 3 3
2 4 1
4 3 4
2 0 0
3 1 3
0 4 3
4 1 0
4 4 3
10 4
2 0 2
3 0 0
3 2 0
0 1 1
2 1 2
3 2 3
1 2 0
1 1 0
1 0 2
1 1 2
10 8
1 2 2
2 2 0
0 1 0
1 0 2
0 0 1
1 0 0
1 1 2
2 1 0
0 1 1
1 2 1
10 2
3 0 0
0 3 3
0 0 2
0 0 0
0 1 3
2 1 3
1 2 2
0 0 1
1 2 0
1 1 1
10 8
2 1 1
0 0 1
0 1 1
1 0 1
2 2 0
1 2 1
1 2 0
0 0 0
2 0 1
1 2 2
10 5
2 1 0
2 1 2
0 2 2
1 1 2
1 2 0
1 1 1
0 1 2
1 2 2
1 0 0
2 2 2
10 2
5 1 3
3 1 1
0 0 2
4 5 2
3 1 3
5 3 3
1 4 5
1 3 2
5 4 5
5 5 0
10 4
0 0 0
0 2 2
1 2 1
2 0 0
1 0 2
0 1 1
1 1 1
2 0 1
0 2 0
2 0 2
10 4
0 3 3
0 3 0
2 3 1
2 0 2
2 0 1
2 2 2
1 0 0
2 0 0
1 0 3
1 1 1
10 7
2 1 1
1 0 1
1 2 0
1 1 1
1 2 1
0 2 1
1 0 2
0 0 2
0 2 2
0 0 0
10 4
1 3 1
1 1 2
0 3 3
3 1 2
1 1 1
2 2 1
0 3 1
1 1 3
2 0 0
2 0 2
10 2
0 1 2
1 0 2
2 2 0
2 0 1
0 2 2
0 0 2
2 1 2
1 0 1
0 1 0
2 0 2
10 8
0 3 1
0 2 0
2 1 3
0 0 3
2 1 0
1 2 1
2 0 3
0 1 0
1 1 2
2 0 2
10 5
0 0 3
1 0 1
3 2 0
3 0 1
1 2 3
0 1 2
2 0 0
3 2 1
2 0 2
3 2 2
10 3
0 2 1
2 1 0
1 1 2
2 2 1
1 2 2
0 0 2
2 2 2
2 1 1
1 1 0
0 0 0
10 7
3 4 0
4 2 0
3 1 4
4 1 2
1 4 2
0 0 1
2 4 4
3 2 1
3 4 3
2 1 0
10 5
4 4 0
5 2 5
3 4 1
3 4 4
4 1 2
2 4 0
5 4 1
0 0 0
1 1 2
3 4 5
10 3
3 3 5
4 1 1
1 1 2
5 5 5
0 4 0
1 3 5
2 0 1
2 3 1
3 1 0
0 0 2
10 8
1 3 0
1 3 3
0 2 1
1 2 1
3 2 0
1 3 1
0 3 3
2 0 1
2 2 2
1 1 3
10 5
1 2 0
2 0 0
0 2 0
1 1 0
0 0 2
1 0 1
0 1 1
0 1 0
1 1 2
2 0 1
10 4
0 5 1
3 4 4
0 1 2
1 3 0
4 1 5
1 2 0
1 1 0
5 1 1
3 3 3
5 0 1
10 9
0 2 2
1 1 1
3 0 0
3 3 0
0 0 0
0 2 0
0 1 2
2 0 0
1 0 3
1 2 2
10 3
0 0 0
3 2 1
1 0 1
0 1 0
3 3 3
3 0 2
1 1 2
2 0 2
3 1 3
0 1 1
10 5
1 3 5
5 2 1
1 1 1
3 5 0
5 0 5
0 1 2
5 1 0
0 4 1
2 2 2
2 3 5
10 9
3 0 2
3 2 0
0 2 0
1 3 3
0 3 1
1 0 0
0 3 2
0 2 1
3 2 2
2 0 1
10 7
4 0 3
1 0 0
3 2 1
0 4 0
3 4 1
5 1 1
4 4 4
5 2 3
0 2 4
2 0 2
10 4
1 0 0
1 0 1
2 0 4
0 1 1
4 3 3
2 4 4
0 4 2
0 0 4
0 2 4
1 4 0
10 5
3 4 2
1 1 0
3 1 3
1 4 3
4 0 1
1 3 1
3 4 4
4 1 3
4 4 1
4 3 0
10 9
1 3 2
2 1 3
2 3 2
3 3 3
1 0 2
1 1 0
3 2 3
0 0 3
1 1 3
0 0 0
10 2
3 4 4
2 0 4
1 0 0
3 3 0
4 1 3
4 2 3
0 2 0
0 1 0
3 0 2
3 2 2
10 6
3 2 3
4 4 1
2 1 4
2 2 4
4 1 3
2 4 3
3 2 2
2 4 0
0 2 1
4 1 4
10 6
0 2 3
0 4 2
1 0 0
4 2 0
2 4 1
2 4 2
2 1 1
0 4 3
0 0 2
1 3 4
10 3
4 4 2
1 3 3
0 0 0
2 5 3
2 5 4
4 3 5
0 1 1
2 0 5
0 3 1
5 4 4
10 2
2 2 1
1 2 1
0 0 0
0 1 2
0 2 2
1 0 0
0 0 1
1 2 0
0 1 1
1 0 2
10 9
4 4 1
3 0 4
1 4 0
0 0 1
3 0 0
3 4 4
0 4 4
2 1 2
4 2 0
4 0 1
10 8
3 0 2
1 2 2
3 2 1
3 4 0
4 4 2
3 1 3
4 2 0
3 2 0
1 0 3
1 3 0
10 9
2 5 2
4 1 5
4 0 5
0 3 1
5 3 4
3 5 1
1 2 0
1 4 3
5 0 0
4 3 4
10 2
2 3 2
4 1 4
4 0 4
0 1 1
2 4 2
3 1 0
2 0 3
0 2 4
0 1 4
1 4 3
10 6
3 2 2
2 3 4
0 0 2
1 2 2
0 1 1
1 4 4
3 1 4
1 0 1
2 2 3
1 1 0
10 8
4 2 0
1 4 2
0 0 4
4 1 3
3 4 3
3 3 0
2 1 0
0 4 3
1 2 3
1 1 3
10 3
1 1 2
1 2 3
0 0 3
2 4 5
0 4 5
1 4 5
5 2 5
4 1 4
2 5 0
1 2 0
10 6
0 0 0
0 1 4
2 4 3
1 1 3
3 0 4
3 3 2
0 1 0
1 2 4
1 2 1
1 0 1
10 3
5 2 2
3 1 4
3 0 0
0 2 2
5 1 1
0 1 4
0 4 1
4 0 5
2 4 1
2 0 5
10 6
2 0 2
2 2 0
1 0 2
0 1 2
1 2 0
2 1 0
1 1 0
1 0 0
0 0 1
1 0 1
10 5
1 1 1
2 1 0
2 0 0
2 0 2
2 1 1
0 2 0
0 2 1
0 0 0
0 1 0
1 0 1
10 9
0 1 1
3 2 1
2 2 2
2 3 1
0 1 4
0 2 0
2 1 1
4 1 1
3 4 0
0 3 0
10 3
3 1 5
2 2 2
5 4 1
1 3 1
3 2 2
3 0 3
3 5 1
2 3 3
0 0 4
5 0 2
10 8
2 1 3
0 0 0
0 1 1
2 3 3
1 2 1
3 3 0
2 1 1
2 3 2
2 2 0
0 1 3
10 9
1 1 3
2 1 2
0 2 0
1 1 0
3 2 3
0 3 0
1 3 2
1 3 3
0 0 2
1 0 2
10 8
2 4 5
1 2 2
0 5 2
0 0 4
4 3 0
0 1 3
5 1 1
3 0 0
2 2 3
3 0 3
10 6
2 0 2
4 4 1
3 0 0
3 4 3
2 3 3
4 5 2
4 1 0
1 4 5
3 3 3
3 1 0
10 9
5 5 3
1 5 4
3 0 4
5 4 5
3 4 5
4 5 2
5 4 2
4 3 4
1 3 1
1 0 4
10 8
5 4 4
4 5 2
2 3 2
1 1 0
0 2 3
1 3 5
3 3 1
4 3 2
1 1 4
3 2 4
10 6
0 3 5
2 1 2
4 0 2
4 4 4
0 5 1
3 2 3
1 3 2
5 5 3
5 0 1
4 1 4
10 8
3 2 5
1 1 4
3 5 4
2 4 5
3 2 4
4 0 1
1 0 3
0 4 3
1 2 5
3 0 5
10 8
2 3 0
1 3 0
1 0 3
0 2 2
0 0 2
0 0 3
1 0 0
3 3 0
2 2 3
2 1 3
10 7
0 2 0
2 1 2
2 2 0
1 2 0
2 2 2
0 2 1
1 0 0
1 1 2
2 0 1
0 2 2
10 6
3 2 0
0 1 2
2 2 2
3 0 2
4 1 1
4 2 2
1 2 1
0 3 2
4 3 1
2 2 1
10 8
0 2 0
5 2 3
2 1 5
4 3 1
5 5 0
0 1 4
2 3 0
3 0 5
5 3 2
5 5 2
10 2
2 0 1
2 1 1
1 2 2
1 1 1
0 0 1
0 0 0
2 2 2
0 1 0
0 2 1
1 1 2
10 8
3 2 1
3 1 0
0 0 3
1 3 3
1 1 3
1 1 0
1 2 1
0 0 2
2 2 3
2 1 1
10 3
4 2 3
0 2 1
1 4 4
0 4 1
1 2 2
4 2 4
4 4 4
0 0 4
2 2 4
3 3 0
10 2
1 0 3
1 1 2
1 3 1
1 3 0
1 0 1
3 1 1
2 3 3
1 3 3
2 1 2
1 0 2
10 7
1 3 2
0 3 1
3 0 3
0 0 2
3 3 2
0 4 0
4 2 3
2 4 0
1 4 2
1 4 4
10 6
2 1 1
0 1 0
1 2 1
2 1 0
1 2 0
1 1 1
0 0 1
0 1 2
0 2 1
1 1 2
10 3
2 1 1
3 1 2
1 0 2
3 3 1
0 1 2
2 0 1
2 2 2
2 1 3
1 2 3
2 1 2
10 2
0 2 0
1 0 2
0 0 1
2 0 1
1 0 0
2 1 0
1 0 1
0 1 0
0 0 0
2 1 1
10 3
1 4 3
4 1 1
1 4 0
4 2 3
2 3 4
2 3 2
0 3 2
3 0 1
3 3 4
3 1 4
10 4
0 4 4
4 2 3
1 3 4
3 1 3
0 3 3
3 3 0
4 1 3
3 4 2
1 2 4
3 4 4
10 3
3 0 3
0 2 3
2 3 1
2 0 1
1 2 0
0 0 2
3 3 0
3 1 1
1 1 3
2 1 2
10 2
0 3 0
3 1 1
2 1 2
0 0 3
3 0 1
3 0 3
1 1 1
1 1 0
0 3 1
1 0 3
10 8
3 2 0
0 1 3
0 3 1
1 5 4
4 4 1
5 3 3
4 3 3
5 3 4
5 3 0
0 0 2
10 8
3 4 1
4 1 2
2 1 4
3 0 0
0 2 2
3 2 0
4 4 2
4 2 3
0 2 4
0 0 3
10 6
3 0 1
1 1 3
2 0 3
0 0 2
3 3 1
0 2 1
1 1 2
0 3 3
2 2 2
0 2 2
10 7
2 0 1
2 1 0
2 2 2
1 0 1
2 0 0
0 0 3
1 1 2
1 0 2
3 0 1
2 1 2
10 9
1 1 0
0 2 0
0 2 2
0 1 1
0 0 1
1 1 2
1 2 1
1 2 2
2 0 2
2 2 2
10 7
2 2 0
0 2 0
1 0 2
2 0 2
1 2 1
1 1 0
0 0 2
1 0 0
0 0 1
0 0 0
10 5
5 2 0
3 2 5
4 1 0
4 5 2
3 4 5
3 5 1
4 1 5
2 2 5
4 0 5
3 0 1
10 4
2 2 3
2 0 5
0 3 3
0 1 0
0 5 2
1 1 0
1 3 5
3 0 4
2 0 2
2 1 0
10 5
1 3 4
4 3 0
4 0 3
1 4 0
1 2 0
2 1 4
0 4 3
0 0 1
2 1 0
2 1 2
10 3
1 1 0
2 0 1
1 1 1
1 2 2
0 2 2
1 2 0
0 1 0
1 0 2
2 0 2
0 2 1
10 9
5 5 5
5 5 1
3 4 0
0 0 3
3 4 1
1 5 2
3 5 3
4 4 1
3 1 4
5 4 2
10 6
3 3 0
4 0 4
4 4 2
4 4 1
2 1 4
4 1 2
0 1 4
0 2 1
0 4 0
4 2 4
10 4
0 1 0
3 3 1
2 0 3
3 1 0
3 3 2
1 3 3
2 3 0
3 3 3
0 2 0
2 2 1
10 8
1 1 0
1 2 2
0 1 0
2 2 2
1 2 1
2 2 0
2 1 0
0 1 2
2 2 1
1 1 1
10 6
0 0 4
0 4 4
1 0 0
3 2 2
3 3 2
1 1 0
0 3 0
1 3 2
2 0 0
4 4 3
10 9
4 0 4
2 4 3
3 0 1
4 0 0
3 2 0
1 0 3
4 3 1
1 3 4
2 1 0
4 4 4
10 5
1 3 4
0 3 3
0 4 2
3 1 2
4 3 1
4 1 3
2 2 2
4 0 2
0 2 0
4 1 1
10 5
0 2 2
0 1 2
2 0 2
2 0 1
1 0 1
2 2 2
1 1 1
0 2 0
1 1 0
0 1 0
10 3
1 1 2
2 0 0
1 1 1
2 1 1
2 2 1
0 2 2
2 0 1
1 2 0
1 0 0
0 0 1
10 2
4 1 4
1 3 2
4 1 3
3 3 3
3 3 0
3 0 4
3 4 0
2 2 3
3 4 2
0 2 1
10 3
2 3 3
2 0 3
2 3 0
1 0 1
3 2 3
2 3 1
3 1 4
0 4 4
4 0 1
3 3 3
10 5
2 1 1
0 1 3
0 2 0
3 1 0
2 3 3
2 0 3
2 3 1
0 1 0
1 3 0
3 0 0
10 4
0 2 0
1 2 2
2 2 1
1 0 1
0 2 1
0 0 2
1 1 2
1 1 0
2 1 0
2 0 1
10 4
3 2 4
0 5 0
4 0 0
1 1 0
2 4 3
3 1 5
2 1 3
3 3 3
2 0 0
2 3 5
10 2
1 2 1
1 0 1
1 3 0
0 1 2
0 2 1
3 1 2
0 0 3
2 2 1
1 1 2
3 2 2
10 2
2 1 0
0 0 0
0 0 1
2 1 1
1 0 2
1 0 1
0 1 1
0 2 1
0 2 2
1 1 0
10 9
3 3 2
3 4 4
3 1 4
0 2 1
2 1 2
1 3 2
2 4 1
1 4 3
4 2 1
1 3 0
10 2
2 1 4
5 2 3
3 4 4
3 1 0
0 2 4
1 5 2
4 3 0
0 5 2
5 5 0
4 4 2
10 9
0 2 1
0 2 3
4 1 1
4 2 2
4 1 3
1 4 3
0 1 4
4 0 4
2 0 4
0 0 4
10 3
3 1 3
2 2 2
3 0 0
0 0 1
0 0 0
2 0 0
0 3 3
2 4 2
3 0 4
1 2 0
10 6
2 0 0
2 0 2
1 2 0
1 1 1
0 2 2
0 2 1
0 0 2
2 1 1
0 0 1
2 2 2
10 2
3 0 0
2 0 3
2 0 1
4 0 2
1 4 0
1 3 3
1 0 2
1 2 0
0 4 0
2 1 3
10 8
0 1 2
0 0 1
1 2 2
2 0 1
2 0 0
2 1 0
1 0 0
1 0 1
1 0 2
0 2 2
10 2
0 4 4
2 3 1
3 2 0
2 4 0
4 2 2
0 0 0
2 4 1
1 2 1
1 4 1
3 0 1
10 9
2 3 2
1 4 0
4 4 3
4 0 0
2 3 0
0 2 3
3 2 2
4 0 1
2 4 3
4 0 4
10 6
0 2 1
0 0 2
0 1 2
2 0 1
0 2 0
2 1 0
2 1 2
1 2 2
0 1 0
2 2 1
10 3
3 1 1
3 3 1
1 0 0
0 0 3
2 0 0
2 2 0
3 0 3
2 0 2
0 0 2
1 0 2
10 8
0 1 2
0 0 1
2 2 0
0 2 0
2 1 2
1 2 0
2 1 1
0 1 0
2 1 0
0 1 1
10 7
0 0 3
4 2 0
1 4 1
4 0 0
0 1 2
4 1 4
3 4 0
3 0 3
3 1 1
0 2 2
10 8
0 1 0
1 0 2
1 2 0
2 1 0
2 0 1
2 1 2
0 2 0
1 0 0
0 0 1
1 1 2
10 6
0 1 4
4 1 1
0 4 0
4 1 2
4 1 0
2 1 1
4 2 3
1 2 1
3 3 0
4 0 4
10 9
1 2 1
2 2 5
4 5 1
1 5 2
5 5 2
2 1 4
0 1 2
5 0 1
0 0 3
4 2 2
10 3
1 3 0
2 3 4
1 1 1
0 2 4
1 4 4
0 1 4
4 1 3
4 1 4
1 0 0
2 4 4
10 9
4 1 1
0 5 4
5 2 3
5 3 2
0 5 5
2 1 0
5 3 3
2 1 4
2 2 5
5 5 4
10 9
4 2 0
3 4 4
0 0 3
0 3 2
0 1 0
0 2 2
2 1 2
2 0 0
4 1 3
1 4 0
10 7
2 4 4
0 5 3
0 5 1
1 4 0
0 3 1
2 0 5
3 4 0
2 3 4
1 0 4
5 0 2
10 3
4 0 4
2 2 3
3 2 2
3 1 1
4 2 1
2 4 4
4 1 0
0 3 3
3 4 0
3 1 0
10 2
2 0 3
1 3 2
2 2 0
0 3 3
0 2 0
3 1 1
1 1 1
2 0 2
0 1 3
0 2 3
10 3
5 1 4
0 0 4
5 3 2
0 2 3
0 0 0
2 4 5
4 4 0
5 4 1
5 3 3
3 0 0
10 7
2 1 4
1 0 4
1 1 3
2 2 4
2 2 2
0 4 0
1 3 4
4 2 4
0 2 4
1 0 2
10 4
1 1 1
4 1 1
4 2 1
3 4 0
2 4 1
3 2 3
2 4 3
4 3 0
2 1 4
4 2 3
10 8
2 0 3
2 0 1
1 2 5
3 1 0
5 4 0
5 4 5
2 0 5
5 5 4
2 3 3
0 4 1
10 8
2 1 0
0 2 0
1 2 2
1 1 1
2 0 2
0 0 2
1 2 1
2 2 1
2 1 2
0 0 1
10 7
4 0 0
0 3 1
1 1 2
1 2 2
1 1 3
4 4 2
1 2 3
2 3 2
3 0 1
1 4 1
10 4
4 3 0
0 1 3
0 4 4
0 4 1
2 3 4
3 3 1
2 1 3
1 1 2
2 0 1
1 1 1
10 4
3 3 0
2 0 3
1 3 3
3 0 3
1 0 1
3 3 2
2 0 0
3 1 2
3 0 2
1 1 3
10 8
1 4 0
2 5 5
1 5 3
3 5 0
0 4 3
1 2 1
1 5 1
4 3 0
0 2 1
4 4 2
10 9
1 1 0
0 4 5
5 5 5
4 5 4
5 5 3
2 4 3
4 1 5
1 2 1
3 2 1
4 3 5
10 3
2 1 1
0 0 2
2 2 0
0 1 2
0 1 1
0 0 0
1 0 1
0 2 1
2 0 0
1 1 1
10 5
2 0 0
1 0 0
2 1 0
0 0 2
2 1 1
0 0 1
2 1 2
1 1 2
2 2 2
0 0 0
10 5
1 3 5
3 2 1
3 4 0
0 1 3
5 5 3
5 5 5
1 4 0
5 1 4
1 3 0
1 2 0
10 3
3 2 4
4 4 0
0 2 2
1 0 1
2 3 4
3 2 2
4 4 4
3 0 4
4 3 0
2 2 3
10 5
0 3 2
2 4 0
2 0 1
3 3 2
4 2 1
2 4 1
3 1 3
0 2 2
2 3 4
4 4 1
10 9
0 0 1
1 1 0
1 2 0
1 2 2
2 1 0
1 0 2
1 1 2
2 2 0
1 0 1
0 1 1
10 4
0 1 2
0 1 0
2 1 1
1 0 1
2 0 1
0 2 0
2 0 2
2 2 2
1 1 1
2 1 0
10 5
2 5 2
2 5 4
4 5 3
4 2 1
4 2 0
5 0 1
0 1 2
0 1 0
2 2 4
3 5 1
10 6
3 3 1
3 2 2
2 3 1
2 2 2
1 1 0
0 1 3
0 2 3
0 1 0
1 3 1
3 1 0
10 4
1 3 1
0 3 0
3 0 1
0 1 4
2 3 3
4 0 3
2 0 1
3 4 0
4 1 0
2 1 3
10 4
1 3 3
2 4 4
2 4 0
0 4 3
3 0 2
0 2 2
3 1 0
1 4 2
2 2 0
1 2 3
10 9
3 2 2
2 2 1
0 0 0
3 2 3
4 0 1
2 3 3
0 0 2
4 0 2
1 3 2
4 3 0
10 9
5 1 3
2 4 0
2 1 4
5 4 2
0 4 3
3 2 3
2 4 1
5 3 0
5 5 3
2 5 1
10 3
0 3 2
5 2 0
1 5 3
0 3 5
5 3 0
4 3 1
2 0 5
3 4 0
5 4 3
2 5 5
10 5
1 1 2
1 0 0
0 0 1
0 2 0
0 0 2
1 1 1
0 0 0
1 1 0
1 2 0
1 0 1
10 3
2 3 3
1 0 2
1 2 3
3 0 3
3 1 3
1 1 1
3 0 1
1 1 3
1 2 2
3 1 0
10 4
1 2 1
0 3 0
4 0 5
1 5 3
0 3 3
3 1 1
3 1 3
5 0 0
5 0 5
3 3 3
10 9
1 0 0
3 0 2
5 2 4
0 0 0
2 1 3
1 3 5
5 3 2
4 2 3
2 5 1
2 1 0
10 4
3 3 3
3 2 2
3 1 3
2 2 0
1 3 1
1 2 2
0 1 0
2 3 3
1 1 3
0 2 3
10 9
1 0 2
0 0 1
2 0 2
1 2 1
0 0 0
1 1 2
1 0 1
2 2 2
1 2 2
0 1 1
10 3
2 1 0
0 2 5
5 2 1
0 2 3
4 3 4
5 0 0
5 4 5
5 3 0
3 0 2
5 2 3
10 2
2 3 3
2 0 3
3 2 0
2 0 1
0 2 1
0 3 1
1 0 3
1 0 1
3 1 3
0 0 3
10 5
1 3 3
4 1 0
1 5 0
5 2 3
1 1 1
0 0 0
0 2 2
1 4 5
0 3 0
2 5 4
10 8
3 2 0
0 1 1
1 4 1
0 1 0
3 0 4
3 2 2
1 0 4
0 0 1
3 2 3
4 0 1
10 8
0 0 2
1 1 0
3 0 2
3 2 0
2 2 1
2 1 0
2 0 3
1 1 2
1 3 3
0 0 0
10 7
0 2 1
1 0 1
2 2 2
1 2 0
0 2 0
2 2 0
2 2 1
1 0 0
1 1 2
2 1 0
10 8
2 2 2
0 1 0
0 0 4
4 1 0
2 1 0
0 2 0
1 2 0
1 4 4
4 4 4
3 1 0
10 9
1 4 1
2 3 1
3 1 3
2 3 4
2 1 4
0 1 4
1 2 0
2 4 2
4 0 4
3 2 3
10 7
0 4 4
1 5 0
3 5 1
0 2 0
1 3 4
0 1 3
2 2 0
2 4 3
0 1 4
5 2 1
10 7
0 2 0
3 3 0
0 1 0
3 1 3
1 0 3
0 0 0
0 2 3
1 0 0
3 2 0
1 1 1
10 2
5 1 2
4 2 0
3 0 3
4 2 4
4 0 0
1 0 2
0 5 0
4 4 4
3 1 4
0 0 1
10 6
3 2 2
3 4 4
3 0 3
0 2 3
4 0 0
3 1 0
2 1 3
3 3 2
3 2 4
0 2 1
10 3
4 2 3
4 0 5
4 4 4
0 2 3
1 5 4
3 2 5
3 3 1
5 3 4
1 5 0
2 5 2
10 3
3 0 2
1 2 2
1 2 1
0 1 1
0 3 3
2 1 4
1 3 3
2 3 1
2 2 0
3 2 1
10 8
1 1 0
1 2 0
0 0 3
0 0 2
2 1 2
3 3 0
0 3 2
0 0 0
1 2 3
2 2 0
10 6
1 0 0
1 2 2
2 2 2
0 0 1
0 2 1
1 0 2
0 0 2
2 2 0
0 1 1
1 0 1
10 6
5 2 1
4 2 5
5 5 1
2 0 1
5 3 3
2 2 5
3 0 1
0 5 2
0 2 0
1 1 3
10 3
5 4 2
1 2 3
3 1 0
0 0 4
2 2 3
4 0 4
1 3 4
0 0 5
3 4 2
0 3 0
10 2
4 1 3
1 2 1
3 2 4
3 1 3
1 1 0
3 2 2
0 1 2
2 4 1
2 3 3
0 2 3
10 6
2 3 2
3 1 1
3 0 3
3 0 2
2 2 2
1 3 3
2 0 3
0 1 1
2 1 0
2 0 1
10 9
3 4 5
0 4 1
3 3 5
2 0 2
5 2 5
5 5 1
4 0 5
5 2 4
4 4 3
2 5 4
10 3
1 1 2
1 0 0
1 2 1
2 1 0
2 2 1
1 0 1
0 0 0
1 1 1
2 0 2
2 0 0
10 5
1 4 0
4 1 4
4 2 1
3 0 2
3 2 1
0 2 2
3 2 2
3 1 0
2 1 0
1 2 4
10 4
1 2 0
1 1 0
1 0 2
1 2 2
1 1 1
1 2 1
2 2 0
2 0 1
0 0 1
2 0 0
10 3
2 3 0
4 3 3
3 3 0
3 4 2
2 4 0
2 1 0
0 3 4
1 2 0
2 2 0
4 1 2
10 4
2 0 1
0 0 1
1 2 1
0 0 2
0 2 1
0 2 2
2 2 1
1 0 1
2 1 2
2 2 0
10 4
4 4 5
5 3 2
0 2 0
5 2 3
5 2 1
5 3 3
3 5 4
2 5 3
5 0 2
5 4 4
10 2
1 1 1
2 2 1
2 3 3
3 2 1
3 0 1
2 1 2
1 2 0
1 1 0
3 1 0
3 2 3
10 3
0 3 0
4 1 4
2 2 4
4 0 3
3 3 2
1 4 4
3 1 3
1 0 3
0 1 2
4 0 2
10 2
3 0 1
3 0 5
0 4 5
4 2 5
2 1 0
4 1 3
0 5 0
4 2 2
4 3 2
1 0 1
10 8
3 3 4
2 3 4
3 3 0
1 4 3
3 3 1
2 3 2
0 0 0
0 4 2
0 1 1
1 2 1
10 9
3 0 3
2 1 1
4 3 3
3 3 3
2 1 4
3 2 0
1 4 4
0 1 2
2 3 4
1 4 2
10 4
5 2 2
3 4 4
3 4 5
0 2 1
2 0 4
1 3 1
1 1 0
5 2 0
1 5 1
4 5 4
10 3
4 2 2
1 0 0
3 0 4
4 1 4
1 2 0
1 4 2
0 1 1
3 4 2
4 2 0
4 4 3
10 9
0 4 3
1 0 0
2 3 4
4 1 1
1 3 1
3 0 2
2 3 3
2 4 4
2 4 0
2 4 1
10 8
4 0 4
1 4 1
2 0 0
4 0 0
4 4 1
0 3 0
2 2 3
4 3 2
2 3 3
0 0 1
10 7
2 3 3
3 4 4
0 1 4
3 3 0
3 4 0
1 3 2
1 4 2
0 3 3
0 1 1
3 2 4
10 4
1 2 1
1 0 2
1 1 0
2 0 2
2 1 1
1 2 0
2 1 0
2 1 2
1 1 2
2 0 0
10 6
2 0 1
1 0 0
1 2 0
2 0 2
0 1 2
1 1 0
1 0 2
1 1 2
1 2 2
0 0 0
10 8
1 2 1
2 2 0
0 1 1
1 1 1
0 2 1
1 0 2
2 1 2
0 0 1
1 1 2
0 1 0
10 4
3 5 0
5 0 0
0 0 4
5 0 1
5 3 2
3 2 0
5 4 5
4 5 0
5 5 0
3 4 3
10 8
1 2 3
1 3 0
0 2 2
4 2 0
2 0 1
1 2 2
2 1 0
2 0 4
2 3 3
2 2 2
10 2
3 3 5
4 1 5
3 4 5
5 2 0
0 3 2
0 4 0
0 1 3
4 0 2
4 1 1
4 1 3
10 6
3 0 2
0 1 2
1 2 1
1 0 0
3 2 0
3 0 0
1 3 0
0 2 0
1 2 0
0 3 2
10 4
1 0 2
1 2 0
2 0 0
2 1 1
0 0 1
0 1 0
2 2 2
2 1 2
1 1 0
0 2 0
10 2
4 0 2
3 2 2
1 1 1
0 0 1
4 2 4
0 3 5
3 1 1
1 4 1
4 3 4
2 1 3
10 9
2 0 0
1 1 2
1 0 0
0 0 0
0 2 1
2 0 1
2 1 1
2 2 2
1 2 0
0 0 1
10 6
0 3 3
0 1 0
3 1 2
2 1 3
0 0 3
2 3 3
2 2 3
0 2 3
1 0 3
0 1 3
10 5
1 0 1
2 0 2
0 1 1
2 1 0
0 0 2
0 0 1
0 0 0
0 1 0
2 1 2
2 0 1
10 7
1 2 4
1 4 5
2 0 3
2 0 5
3 5 5
5 5 1
1 4 2
3 0 0
0 5 1
3 1 4
10 9
2 2 2
2 1 2
0 2 2
2 0 0
2 1 0
1 2 2
1 1 2
0 0 0
2 2 1
1 1 1
10 6
0 0 3
3 3 3
2 1 0
1 3 3
0 2 1
3 1 1
0 0 0
1 1 3
2 2 0
1 0 3
10 4
1 0 4
1 1 0
1 3 3
1 3 1
0 2 0
3 2 2
3 0 3
2 2 4
0 3 1
3 2 4
10 8
0 1 0
1 1 1
1 0 0
0 1 1
0 0 0
1 1 0
1 0 1
0 1 2
1 2 2
2 0 0
10 4
1 2 1
2 0 2
1 1 2
2 2 0
1 0 0
1 0 1
2 1 1
1 2 2
0 0 0
1 1 1
10 5
3 5 1
2 3 0
3 5 5
1 4 2
2 4 5
0 4 2
5 2 5
4 3 4
0 3 3
4 5 1
10 4
3 0 1
3 2 1
0 1 3
3 3 1
3 2 3
1 0 3
1 1 2
3 2 0
1 2 2
2 2 0
10 4
2 2 1
0 2 2
1 2 2
1 1 2
1 0 1
0 2 0
2 2 2
2 1 1
2 1 0
0 2 1
10 4
1 3 0
2 1 1
3 1 0
0 1 2
2 3 3
2 2 2
1 2 2
3 2 1
2 0 3
1 2 0
10 8
2 1 0
0 1 0
1 1 2
0 1 1
2 2 1
1 2 1
2 1 2
1 2 2
0 0 2
2 2 0
10 8
1 0 2
1 1 2
0 1 2
2 2 0
0 1 0
0 1 1
0 0 0
2 0 2
1 1 1
0 2 2
10 8
1 3 2
4 4 1
0 4 2
0 0 0
4 0 2
3 4 1
1 0 4
0 4 0
1 4 0
2 4 0
10 2
3 1 3
0 3 4
2 5 0
4 2 2
4 3 0
1 2 4
5 2 5
4 2 5
5 5 3
4 5 3
10 6
2 2 4
0 2 3
3 4 3
4 5 3
1 4 5
4 2 2
5 3 4
4 1 2
5 3 1
1 0 2
10 8
0 4 2
0 1 4
5 1 2
1 5 3
1 4 4
3 0 1
2 3 5
2 4 5
2 2 3
2 5 2
10 4
3 0 1
1 4 3
3 2 3
4 3 0
1 2 2
1 1 1
0 4 0
3 2 1
0 0 4
3 3 1
10 3
3 2 1
0 3 1
1 3 1
2 4 1
1 3 0
4 2 0
3 0 0
1 1 4
1 1 2
3 4 3
10 6
5 2 5
0 2 5
5 3 5
1 0 0
2 1 2
4 5 4
2 1 3
0 1 2
2 2 3
2 5 2
10 9
1 1 2
2 2 1
1 0 2
2 2 0
0 0 2
0 0 0
1 2 0
0 2 1
2 1 1
1 0 0
10 7
2 2 3
1 3 0
0 3 2
3 3 3
3 3 0
3 1 3
3 0 1
3 1 2
2 0 1
1 3 1
10 8
4 2 0
2 1 2
2 0 3
1 3 0
3 4 3
4 4 3
4 4 4
3 0 4
2 3 1
0 2 0
10 4
2 0 0
0 1 2
2 2 2
0 1 0
1 0 2
0 2 0
0 2 1
1 0 0
0 2 2
0 0 1
10 6
0 3 1
1 0 1
1 1 2
1 0 2
1 0 0
2 1 1
1 0 3
3 2 1
3 1 3
0 2 0
10 7
2 0 2
2 2 2
2 2 1
2 2 0
1 1 0
1 2 0
0 2 0
2 1 1
0 0 2
0 1 1
10 5
0 2 2
4 4 3
3 3 0
5 4 3
5 2 0
5 3 5
4 0 4
2 3 1
2 0 0
4 3 4
10 4
0 2 3
4 3 3
4 4 3
0 2 0
3 4 4
4 4 0
4 0 3
4 1 4
2 2 3
0 2 2
10 7
1 5 5
2 2 0
5 4 5
5 0 4
4 4 3
4 1 5
1 4 2
4 3 1
2 2 1
0 4 2
10 3
2 2 2
2 1 1
2 1 2
0 0 0
0 0 2
2 1 0
0 2 2
1 2 0
2 0 2
1 1 2
10 9
2 0 2
2 0 1
1 0 0
1 2 2
0 0 1
2 1 2
0 2 2
1 2 1
0 0 0
0 2 1
10 4
1 1 3
1 3 1
2 3 3
0 0 3
1 3 0
2 2 0
2 0 1
0 0 2
1 2 0
1 3 3
10 5
5 4 3
1 0 0
4 1 4
1 2 2
0 5 1
3 0 3
2 3 2
2 2 2
1 5 2
4 4 0
10 3
3 2 3
0 1 0
3 2 2
2 3 0
1 3 1
0 2 2
1 2 0
0 2 3
0 0 2
2 1 2
10 7
0 0 0
1 2 1
0 3 1
3 2 2
0 3 4
3 0 4
4 4 2
2 3 1
3 0 1
3 3 2
10 2
0 1 1
0 0 0
0 2 3
2 2 2
0 1 3
0 2 1
0 0 2
1 2 3
2 3 3
2 3 1
10 2
0 1 2
2 2 0
1 1 1
2 1 1
2 0 1
2 2 1
2 0 0
0 2 1
2 1 2
1 0 1
10 5
3 1 0
4 4 0
1 4 3
4 0 3
1 2 3
0 3 0
4 1 4
0 1 0
0 0 2
2 3 2
10 7
1 1 0
1 1 1
0 1 2
2 2 0
3 2 1
2 3 0
1 0 2
2 0 2
2 2 1
3 2 3
10 8
1 2 2
2 0 3
2 0 1
0 1 0
3 3 0
3 0 1
1 0 3
1 1 2
1 0 1
0 2 3
10 5
2 1 4
4 1 0
4 2 3
1 4 4
4 3 1
2 3 0
2 1 0
0 2 1
0 4 1
2 1 1
10 7
0 0 1
1 1 2
2 0 0
0 1 2
2 1 1
1 1 1
1 0 2
0 0 2
2 0 2
1 2 0
10 6
3 5 2
4 4 5
5 2 5
5 5 5
2 4 5
0 4 1
5 3 5
1 3 5
2 5 4
1 2 4
10 4
2 2 1
1 1 0
1 1 1
1 2 2
2 1 1
1 2 1
0 0 0
2 0 1
2 0 2
0 2 2
10 2
1 5 1
1 4 4
2 4 2
5 0 2
5 1 2
1 5 0
0 5 5
0 4 4
1 4 2
0 2 2
10 5
1 2 0
1 0 2
1 1 0
0 1 2
2 2 2
0 0 0
0 0 2
1 1 1
0 1 1
0 0 1
10 7
0 2 1
1 1 1
2 0 0
0 2 0
2 1 0
1 1 0
2 2 0
2 2 1
0 0 2
0 1 1
10 9
0 0 2
0 1 1
0 0 0
0 2 1
2 0 2
2 0 0
0 1 2
2 1 1
1 0 1
2 1 0
10 2
3 2 3
3 0 2
3 2 0
3 3 3
0 0 3
0 3 3
2 3 0
0 2 0
1 2 2
2 0 3
10 7
2 1 0
2 0 2
1 2 2
0 0 1
0 2 1
1 1 1
0 1 2
2 2 2
2 2 1
1 0 2
10 4
0 1 2
2 0 1
1 0 0
1 1 2
1 2 2
2 2 1
2 2 2
0 2 1
0 0 2
0 0 0
10 8
2 1 0
1 1 2
0 2 0
1 0 2
0 1 0
1 1 1
0 0 2
2 0 1
0 2 1
2 2 0
10 2
1 3 4
4 5 0
5 3 5
4 2 4
1 2 0
2 5 2
5 3 2
2 0 0
3 3 0
2 3 5
10 4
3 2 5
4 5 2
2 4 5
5 3 4
2 3 5
2 1 4
5 5 0
5 2 1
5 1 5
0 5 0
10 6
3 4 2
4 3 3
1 1 2
4 4 4
0 0 1
3 0 4
5 0 0
3 3 2
5 4 2
4 1 1
10 4
1 0 1
0 1 2
2 0 2
2 1 2
0 0 0
1 1 0
2 0 0
1 2 1
0 1 1
1 0 2
10 5
1 2 1
3 0 0
2 1 1
3 3 0
0 3 1
1 1 0
3 1 1
3 2 1
3 2 3
0 0 2
10 5
4 1 1
5 3 2
2 2 0
1 4 1
0 2 0
3 2 3
1 5 1
2 0 5
3 3 1
2 3 1
10 6
2 0 3
0 2 3
3 2 1
3 3 2
2 2 0
3 2 2
2 2 1
1 0 3
1 0 2
0 1 1
10 3
2 2 3
0 2 1
3 0 0
3 1 1
3 0 2
0 1 0
3 3 1
3 3 2
2 1 3
2 2 2
10 2
1 0 2
2 0 0
2 0 1
2 2 2
2 0 2
0 1 0
1 0 1
0 0 0
2 2 0
1 1 2
10 6
1 4 4
0 0 1
1 1 3
2 1 5
1 0 0
1 2 3
3 2 3
1 1 4
4 5 1
1 5 3
10 2
1 0 1
2 0 1
0 1 1
1 1 1
2 1 2
2 2 1
0 1 0
2 1 0
0 2 1
1 1 2
10 5
2 4 3
0 1 1
2 1 0
0 3 4
0 0 4
2 2 1
4 0 3
3 2 1
2 4 0
1 3 0
10 7
3 2 4
3 4 1
0 4 3
1 0 0
2 4 2
1 2 4
0 1 1
1 0 3
2 0 1
4 2 1
10 8
1 3 3
0 0 1
0 1 3
3 2 0
0 0 2
0 3 3
1 2 2
3 2 2
0 0 0
2 1 2
10 7
2 3 3
0 0 0
0 2 3
0 1 0
0 1 1
3 0 0
2 3 2
3 1 3
1 3 3
1 1 2
10 5
0 1 2
2 2 4
1 1 2
5 5 0
2 3 4
2 0 5
3 5 5
5 2 0
5 0 2
1 0 3
10 8
4 0 3
3 3 3
0 1 2
4 1 5
4 0 5
1 1 0
5 2 3
3 1 5
3 2 2
3 3 5
10 7
0 0 0
0 0 1
1 1 2
1 2 2
2 1 2
2 2 0
0 2 1
0 0 2
1 0 0
2 2 1
10 2
1 3 0
1 4 3
3 3 3
4 1 1
2 1 0
1 4 0
3 0 0
2 4 3
4 2 3
4 3 0
10 4
3 2 0
1 0 4
4 0 3
4 2 3
0 2 3
2 4 0
0 3 0
1 0 3
1 4 2
4 4 0
10 9
1 0 1
1 2 2
1 2 0
1 1 1
0 0 0
1 1 2
2 2 0
2 1 1
0 1 1
0 1 2
10 2
2 2 4
4 4 0
4 2 4
0 0 2
2 1 0
1 1 3
0 3 3
1 2 1
0 4 0
4 3 2
10 6
0 2 1
0 2 2
1 1 2
1 2 2
0 0 0
0 0 2
1 2 0
2 2 2
0 1 1
1 0 1
10 7
3 0 2
5 1 3
5 2 4
1 3 5
5 4 2
1 1 0
4 3 2
3 5 1
5 4 4
2 3 4
10 4
1 3 1
3 2 4
1 0 2
1 4 1
4 4 4
0 0 2
0 2 5
4 2 3
3 3 0
1 2 0
10 4
3 2 2
0 2 0
1 2 0
3 1 1
1 1 2
0 0 0
2 0 0
2 3 0
2 1 3
3 0 3
10 2
2 1 2
3 0 2
0 3 3
0 3 0
3 1 3
1 3 2
2 2 0
1 2 3
1 2 2
1 1 0
10 9
0 0 1
2 0 1
2 2 2
0 2 1
1 2 1
2 2 1
0 2 0
2 1 0
2 2 0
1 2 2
10 3
5 4 4
0 2 0
0 4 1
1 5 0
2 0 1
1 0 1
4 0 2
2 1 5
3 0 1
5 5 1
10 7
0 3 1
2 3 0
2 3 3
1 1 1
3 3 3
3 0 2
3 3 2
0 1 3
2 0 1
1 3 3
10 5
0 1 2
1 0 0
3 1 1
2 0 1
2 2 2
3 1 0
0 0 1
0 2 0
2 3 3
3 3 0
10 5
3 1 5
4 0 2
0 1 1
0 5 0
5 5 4
5 3 1
5 3 0
2 5 2
5 0 0
1 0 3
10 2
5 1 3
0 1 3
0 3 3
4 0 4
0 3 0
1 0 4
2 5 2
4 5 4
2 5 4
3 3 1
10 2
0 0 1
0 1 3
2 1 0
0 0 0
2 1 3
4 1 2
1 3 4
3 4 0
4 4 4
1 0 4
10 8
4 3 1
2 3 5
4 4 4
3 2 3
0 1 4
4 0 4
5 1 0
5 4 1
3 5 0
4 4 1
10 9
0 2 1
0 1 2
2 2 1
0 0 2
1 0 1
2 1 2
2 0 2
0 1 0
2 2 0
1 1 0
10 5
1 1 3
1 4 1
4 3 3
5 0 4
5 4 0
0 5 2
0 2 3
0 1 4
2 4 3
1 0 3
10 4
2 1 0
0 2 1
0 0 2
1 2 1
1 2 2
2 1 1
0 1 0
1 1 0
0 1 2
0 2 0
10 2
0 0 0
2 1 0
1 2 1
0 2 1
1 0 2
2 1 1
0 1 2
0 1 0
1 2 0
2 0 0
10 3
0 3 0
3 1 2
3 3 1
3 1 1
3 1 3
2 2 3
2 3 1
2 2 2
2 1 1
0 1 3
10 5
0 1 3
0 0 2
1 3 2
2 1 3
0 1 2
0 2 1
2 2 1
1 3 0
0 3 1
0 1 0
10 8
3 2 2
0 1 0
3 3 0
1 1 2
2 3 2
0 3 0
3 3 2
1 3 1
0 0 3
2 1 0
10 5
3 3 1
2 2 1
1 1 0
3 2 2
0 1 2
1 2 0
1 1 1
3 2 3
0 0 1
2 2 0
10 5
4 2 4
4 1 5
1 5 4
0 4 3
3 4 5
5 2 3
4 0 0
3 2 0
0 3 2
2 0 5
10 5
4 0 5
5 1 3
2 1 4
0 0 1
2 5 0
1 1 1
1 1 2
4 5 1
1 5 0
3 2 2
10 4
4 0 5
2 0 0
2 2 3
3 5 4
2 2 5
0 5 2
4 4 3
4 1 4
3 3 0
0 5 0
10 3
3 3 1
0 0 4
2 0 2
4 3 0
1 1 2
0 3 3
2 0 4
2 3 3
2 4 4
0 2 1
10 3
4 2 3
4 2 2
3 1 2
4 3 3
5 4 4
0 5 3
2 0 0
2 2 2
1 2 1
1 5 4
10 4
2 1 1
0 3 4
0 0 0
4 4 4
2 1 5
5 3 2
0 3 5
2 1 0
3 4 4
3 5 4
10 3
2 3 0
3 1 0
0 0 1
1 3 3
1 2 3
3 2 1
1 2 0
3 0 1
2 2 1
0 1 1
10 4
0 2 4
1 2 4
0 2 3
1 2 2
0 3 4
1 1 3
0 4 4
1 3 1
2 2 0
4 1 2
10 8
3 3 3
2 2 3
2 3 4
4 1 4
0 4 3
4 2 1
4 0 0
4 1 2
1 3 2
4 1 1
10 2
3 2 2
3 4 3
3 3 5
1 0 1
5 1 2
5 3 4
3 2 0
1 4 1
2 5 2
4 0 2
10 2
1 1 3
5 5 0
3 1 5
5 5 3
5 3 5
0 5 1
5 4 3
0 0 1
4 3 4
0 2 1
10 7
2 1 2
4 0 0
4 0 4
0 2 4
1 2 4
0 4 3
3 3 3
4 4 0
1 3 0
2 3 3
10 4
1 2 3
2 2 0
1 1 2
0 3 1
3 0 3
2 2 2
1 2 0
0 1 3
0 1 2
3 1 2
10 8
2 1 0
1 4 4
4 0 2
1 1 1
3 2 3
1 0 4
3 3 4
4 1 2
0 3 0
0 2 0
10 2
2 0 1
1 1 0
0 0 2
2 3 3
1 2 0
1 3 3
0 3 3
1 3 2
0 0 3
1 1 1
10 2
4 3 4
2 2 2
1 4 2
3 1 4
0 0 2
1 3 1
2 3 0
1 3 3
3 2 1
4 2 3
10 2
2 0 0
4 1 3
2 3 4
1 2 3
3 0 0
2 1 2
1 4 3
4 0 4
3 0 2
0 2 2
10 4
3 3 0
4 3 2
3 1 2
2 3 1
4 2 1
3 2 3
3 0 4
0 4 3
1 4 4
4 1 0
10 5
2 2 4
1 5 3
5 5 2
4 1 4
4 0 2
5 5 3
0 0 4
1 2 3
5 2 0
2 5 1
10 7
2 2 3
1 4 3
2 0 0
2 1 0
4 3 1
2 4 4
1 1 4
3 0 1
3 2 5
5 2 3
10 6
1 4 1
1 3 0
3 2 4
3 2 1
2 3 3
3 2 0
4 4 3
0 0 0
4 2 0
2 0 0
10 3
1 1 0
0 3 1
1 0 1
0 2 3
1 2 3
3 1 3
0 2 2
2 3 1
2 2 1
1 2 1
10 3
0 2 1
2 2 1
0 2 2
2 1 1
2 0 2
2 0 1
1 0 1
0 1 1
0 0 1
2 0 0
10 6
1 1 0
2 1 0
2 2 2
0 2 0
1 2 1
2 0 0
1 0 2
1 1 2
0 0 1
2 1 2
10 6
2 3 3
0 2 2
0 2 1
3 1 0
1 3 3
1 2 1
1 2 3
1 1 2
2 2 1
2 1 1
10 4
3 3 3
2 1 5
3 2 4
5 2 4
5 3 5
4 3 2
2 0 4
1 1 3
2 5 0
4 3 3
10 8
1 0 2
0 3 1
1 1 1
0 0 2
3 3 0
2 0 3
0 1 0
0 3 2
2 3 3
2 1 1
10 4
4 4 0
3 3 3
1 3 3
1 0 1
3 3 2
4 1 4
3 0 4
1 4 0
2 1 3
1 0 4
10 8
2 2 1
2 0 0
1 1 0
1 1 2
0 2 2
2 0 2
0 1 1
2 2 2
2 2 0
1 2 1
10 5
1 0 0
1 2 0
1 1 1
0 1 1
1 2 1
2 2 1
1 0 1
0 0 1
0 1 0
2 0 0
10 2
3 3 3
1 1 2
2 0 4
4 3 0
1 5 0
5 5 4
4 0 0
2 3 1
2 2 0
1 4 2
10 2
1 0 2
0 2 2
0 2 1
2 2 2
0 1 1
1 1 0
1 2 2
2 0 2
0 0 0
0 1 0
10 7
3 3 2
0 3 2
3 2 3
3 1 2
1 1 1
2 0 2
1 3 0
3 1 0
3 3 1
0 2 0
10 7
5 4 4
5 2 4
0 1 1
0 0 2
0 5 1
5 0 3
5 0 0
2 3 0
4 0 0
3 2 4
10 4
3 3 0
2 1 3
0 3 2
1 0 2
3 1 1
2 2 0
0 0 1
0 1 1
0 0 0
1 3 2
10 6
2 1 2
1 1 1
0 1 0
0 0 1
1 0 0
2 2 1
2 2 0
2 0 0
1 0 2
0 2 1
10 8
1 5 1
3 0 2
2 4 5
5 2 4
2 5 4
1 4 1
3 4 4
4 1 4
4 3 1
4 1 3
10 6
1 1 3
3 0 3
2 0 1
1 1 1
3 1 0
1 0 3
1 2 1
3 3 0
3 2 2
2 2 3
10 6
1 1 2
2 1 2
0 1 1
0 1 2
1 1 0
0 0 1
1 2 1
0 0 0
1 1 1
0 0 2
10 9
4 4 4
3 2 2
2 2 3
1 2 2
1 4 4
1 2 1
2 3 2
0 0 3
3 4 2
1 4 3
10 9
1 5 0
1 2 1
3 1 3
4 3 4
0 3 4
2 2 5
5 5 5
1 2 5
3 3 0
2 5 5
10 7
3 3 3
2 0 2
2 2 0
0 0 0
3 1 2
1 1 1
1 2 2
3 0 3
0 0 2
2 2 3
10 9
1 5 2
1 0 4
3 4 5
5 4 5
0 5 4
0 3 3
2 5 2
1 4 5
2 5 3
4 5 0
10 3
2 4 4
1 4 2
1 0 2
1 4 1
3 3 0
2 2 2
2 2 0
4 1 3
0 0 4
1 1 2
10 5
0 2 1
2 0 1
1 1 0
1 0 0
0 0 2
1 2 2
1 2 1
0 1 0
2 2 0
1 0 1
10 8
0 2 3
2 2 0
0 3 3
0 3 2
3 3 0
3 3 3
0 3 1
1 3 3
0 2 1
1 3 2
10 3
1 4 3
2 2 0
2 4 2
1 0 1
1 3 4
1 1 2
2 0 3
0 0 3
3 2 4
2 0 0
10 5
1 5 4
5 0 4
5 3 0
0 1 3
2 0 5
2 0 2
0 1 4
3 4 0
0 4 5
4 2 0
10 7
0 0 2
1 0 1
0 0 1
1 1 2
1 2 2
1 2 1
2 2 2
0 1 1
1 1 1
0 1 0
10 8
2 1 2
2 0 1
2 0 0
0 2 1
1 2 1
1 2 0
2 2 2
0 1 2
2 2 0
1 1 0
10 2
0 2 0
2 5 4
3 4 4
1 0 0
2 1 0
5 0 2
2 5 1
3 0 2
1 0 5
2 4 3
10 3
0 3 4
5 2 0
0 2 0
2 1 4
1 0 1
0 3 0
5 1 3
1 1 4
1 0 4
0 3 5
10 8
4 4 3
2 2 1
4 2 2
1 1 1
1 1 3
1 1 4
4 1 3
4 1 4
3 4 4
2 2 0
10 3
2 0 2
1 2 2
0 2 1
2 2 0
2 1 4
1 3 0
3 0 3
1 2 1
0 2 2
4 3 2
10 3
2 0 0
1 1 2
2 2 1
1 0 0
0 1 3
0 2 1
3 2 2
0 3 0
1 2 0
1 3 3
10 7
1 1 1
2 0 2
1 2 1
1 0 1
0 2 1
0 1 2
0 0 1
0 0 2
0 0 0
0 1 1
10 3
2 1 2
0 2 0
1 2 2
1 1 0
1 0 0
1 1 2
2 0 0
0 0 0
0 2 1
0 1 2
10 5
4 0 3
2 5 1
4 3 4
2 5 4
1 1 5
1 4 4
0 3 0
1 4 0
4 2 3
4 1 4
10 3
3 1 2
2 3 2
1 0 0
1 2 3
1 3 0
2 2 2
2 1 1
1 0 1
3 2 3
3 1 0
10 3
1 5 2
4 5 3
5 0 4
2 1 2
0 5 5
2 4 3
3 5 3
2 1 5
5 1 5
5 5 1
10 3
4 2 5
1 3 5
1 2 3
5 2 5
1 0 0
3 0 5
2 4 0
1 3 4
5 5 0
5 3 2
10 9
3 2 1
1 1 1
1 3 0
0 1 1
0 0 0
2 0 2
2 2 1
1 2 1
2 0 1
1 1 0
10 5
2 3 3
1 0 2
1 2 2
2 3 2
3 2 1
1 0 3
3 3 0
3 1 0
0 2 0
2 3 0
10 7
4 3 5
5 1 1
0 1 5
3 0 4
2 5 3
2 5 2
5 1 2
4 5 0
1 0 2
1 5 0
10 7
2 0 0
0 3 3
3 3 1
2 3 3
0 1 1
3 0 2
0 1 2
1 1 1
2 1 3
3 0 1
10 4
0 0 3
0 4 0
4 0 1
2 1 3
2 2 0
3 4 3
2 1 4
0 4 2
1 1 1
1 1 4
10 7
0 0 2
2 1 2
0 1 0
0 0 0
0 1 2
1 0 2
0 1 1
0 2 0
2 1 0
0 2 1
10 8
4 4 1
2 4 4
4 3 2
2 3 1
0 0 4
2 2 0
2 2 4
3 1 2
2 0 2
4 4 3
10 9
3 3 2
3 0 2
1 1 3
0 1 1
2 2 3
1 2 3
3 0 3
2 2 0
2 3 0
2 1 2
10 7
1 1 3
3 2 0
1 2 0
2 3 1
0 3 1
2 0 3
1 3 3
2 2 2
1 3 2
3 2 3
10 8
1 0 0
1 1 0
1 1 2
1 0 1
2 0 1
0 0 1
2 1 1
2 1 2
1 1 1
1 2 1
10 4
1 0 1
3 1 0
4 0 0
0 4 3
1 1 3
2 1 1
2 1 3
1 0 3
4 1 3
2 1 4
10 4
0 0 0
0 1 0
0 2 1
2 0 1
0 1 1
2 0 0
1 1 0
2 2 2
0 1 2
0 0 2
10 4
0 2 1
0 0 0
2 1 2
2 2 1
1 1 0
0 0 2
1 1 2
0 2 0
1 0 1
1 0 2
10 4
0 4 2
1 0 2
1 4 0
1 1 0
1 4 4
4 4 1
4 0 0
4 1 5
4 3 5
5 0 5
10 7
1 3 0
0 3 2
4 2 3
0 3 3
2 3 2
2 3 0
4 0 1
2 2 1
0 0 0
1 4 1
10 4
5 1 3
0 2 1
5 1 2
0 2 4
1 4 5
1 2 4
5 3 1
3 2 4
1 1 2
5 1 1
10 8
1 3 3
1 1 1
3 0 0
1 4 3
0 0 3
4 4 3
3 1 2
3 4 4
2 4 0
3 2 0
10 9
2 1 4
1 0 2
2 3 2
2 1 0
0 1 4
1 2 4
4 3 0
0 0 0
0 4 1
0 1 2
10 7
2 3 2
1 1 2
4 1 4
2 5 3
5 4 4
0 5 1
1 0 5
4 5 4
1 1 3
1 4 4
10 2
1 3 4
3 2 1
1 0 3
2 3 0
0 3 3
4 1 0
1 4 4
3 0 2
3 4 4
0 1 1
10 6
2 2 5
3 1 1
1 2 1
2 4 2
4 0 4
4 1 1
3 4 4
4 2 5
5 1 2
4 4 2
10 2
3 0 1
3 0 0
2 3 0
3 1 3
3 4 0
0 1 0
2 0 2
4 4 1
2 2 3
1 1 4
10 7
2 3 2
4 5 0
4 4 3
2 4 4
5 2 4
5 5 1
0 1 5
1 1 0
3 1 2
4 0 1
10 8
0 2 0
0 1 1
1 1 1
0 0 1
2 2 1
1 1 0
2 2 0
1 1 2
1 0 1
1 2 0
10 7
2 3 3
3 2 1
2 2 5
4 0 5
0 2 1
4 0 1
5 2 5
2 5 2
1 0 2
2 2 2
10 4
3 3 1
4 0 0
5 5 1
2 0 2
5 1 4
3 4 5
2 1 4
0 1 1
4 4 5
3 5 1
10 3
2 3 1
2 1 2
0 2 2
0 3 1
1 3 0
1 0 2
2 0 3
1 2 2
0 0 1
1 0 1
10 4
1 1 2
2 0 5
3 3 4
1 4 5
0 3 0
0 4 4
1 3 1
1 5 1
4 3 0
0 3 5
10 4
5 3 2
2 4 3
1 4 2
0 0 0
0 2 4
4 0 2
4 1 0
2 0 1
4 1 5
3 3 4
10 8
1 1 0
0 2 2
3 1 0
2 2 1
2 1 2
3 0 0
3 3 2
3 2 3
0 3 0
0 3 2
10 3
3 0 3
0 2 2
2 3 3
5 2 0
2 4 2
3 4 1
5 3 4
1 3 1
0 0 2
3 3 2
10 2
0 1 2
2 3 1
1 3 2
0 3 3
2 0 1
0 3 2
1 0 3
2 0 0
3 3 1
3 3 3
10 6
4 1 4
3 2 4
3 0 2
1 2 2
3 2 3
4 1 3
0 2 2
2 4 1
2 2 2
0 2 0
10 3
2 0 2
3 2 2
2 1 0
2 1 3
2 0 0
3 3 2
1 0 3
3 1 2
2 2 2
1 2 3
10 9
3 0 1
4 2 1
1 4 3
0 1 2
0 2 1
0 4 4
3 1 3
0 2 0
2 1 4
4 0 4
10 7
2 1 0
5 2 2
0 0 0
3 2 4
2 0 0
3 4 5
1 3 3
3 3 2
2 2 2
5 5 3
10 9
0 5 1
2 0 5
5 4 2
3 2 4
4 5 5
1 2 1
0 4 5
5 3 4
4 2 1
2 1 2
10 5
2 3 0
2 3 1
2 1 1
1 2 0
1 0 1
3 2 2
0 2 1
2 3 3
3 3 1
0 0 1
10 8
1 4 1
4 1 3
0 3 0
0 4 0
2 2 3
2 3 4
0 0 0
4 3 4
3 4 2
4 1 1
10 8
2 1 0
1 1 0
1 0 1
1 1 1
3 2 0
0 3 1
3 1 1
1 2 1
1 0 0
3 3 3
10 4
2 3 0
0 4 4
2 0 2
2 4 3
4 3 4
0 2 0
0 1 4
2 2 2
3 1 2
4 0 4
10 4
0 3 1
2 3 1
0 1 0
1 0 2
0 0 0
0 2 2
2 0 3
0 1 3
2 0 0
3 1 2
10 3
4 3 2
2 2 0
0 4 3
1 1 0
4 1 4
5 1 2
4 2 5
1 4 0
1 3 3
5 3 4
10 6
0 1 1
1 1 0
1 1 1
2 2 0
2 1 2
1 1 2
0 0 0
1 0 2
0 1 2
0 2 2
10 7
0 0 0
0 0 1
2 1 0
0 0 2
0 1 1
1 0 1
1 2 1
1 2 0
2 0 0
1 1 2
10 9
1 0 0
1 3 1
0 0 3
0 2 3
2 1 2
3 2 2
0 3 2
2 2 1
0 2 0
2 1 3
10 8
1 3 4
0 1 4
1 5 1
0 2 0
4 3 3
0 5 4
0 1 1
3 2 3
5 4 3
4 5 4
10 3
1 2 3
1 3 4
4 4 3
3 4 0
1 2 2
2 0 2
3 3 4
2 0 0
3 3 2
4 3 4
10 9
4 1 2
3 0 2
0 0 1
2 0 1
1 1 1
0 2 0
0 0 0
3 0 3
3 3 1
1 3 2
10 3
0 0 1
0 4 1
3 2 0
2 2 3
2 2 4
1 2 1
2 4 3
3 0 0
1 0 1
2 3 3
10 6
0 3 3
3 2 2
3 3 1
4 2 3
4 0 4
3 0 4
3 1 4
4 1 1
2 2 3
1 3 1
10 4
1 0 3
0 3 0
5 4 0
2 5 5
0 5 2
4 2 3
5 2 2
3 2 0
0 2 5
0 0 3
10 4
0 2 2
1 2 2
2 0 0
0 1 1
0 0 1
1 2 0
0 2 1
1 2 1
0 1 0
2 0 1
10 9
0 4 2
5 4 1
2 3 5
1 1 5
2 3 2
4 3 1
1 0 1
0 4 4
3 2 1
0 1 1
10 7
1 0 2
1 1 1
0 1 0
0 2 2
2 0 0
1 0 0
1 2 0
2 1 0
2 0 1
2 2 2
10 4
2 0 0
2 1 1
4 3 1
3 0 3
5 3 0
0 4 2
0 4 0
3 4 5
3 5 1
2 0 2
10 9
1 3 3
4 1 1
1 0 2
2 1 2
0 3 3
2 2 4
0 0 3
3 5 0
4 3 2
5 2 2
10 2
3 2 1
2 3 3
2 1 3
1 2 1
3 0 0
0 1 0
1 1 0
1 3 0
1 1 1
1 3 1
10 6
3 2 2
3 0 1
2 3 3
3 2 3
1 0 1
1 2 2
1 1 2
1 2 3
3 3 3
1 3 0
10 7
1 2 0
2 3 3
4 4 1
0 4 0
1 3 2
3 4 1
3 0 1
4 1 1
3 0 2
1 1 1
10 9
3 2 0
1 2 5
3 1 3
5 3 1
5 5 0
2 2 3
5 2 0
3 4 2
5 3 3
4 3 0
10 9
0 1 1
5 4 4
4 3 0
5 0 3
1 2 5
1 1 2
1 0 4
4 3 3
4 1 1
5 3 4
10 9
5 5 0
1 3 4
4 5 5
0 5 2
0 4 2
4 5 3
0 5 3
1 0 1
3 5 5
5 1 2
10 3
2 1 1
0 1 0
0 1 2
2 2 0
1 1 2
0 2 1
2 0 2
0 2 2
1 0 0
2 1 2
10 5
5 0 2
1 0 3
5 2 2
2 2 1
5 5 0
5 4 5
3 5 5
0 1 0
0 4 1
2 3 5
10 3
2 3 3
3 3 2
2 2 2
2 2 1
2 1 2
3 0 1
3 3 0
1 1 0
3 3 3
2 0 1
10 9
2 3 1
3 0 1
0 0 3
3 1 2
2 2 3
0 3 0
3 2 3
2 2 0
2 0 0
1 2 3
10 2
0 0 0
1 2 0
0 0 3
1 2 1
1 0 3
2 3 0
3 3 2
3 3 1
0 0 1
1 1 0
10 9
2 3 4
1 3 2
3 1 1
0 3 1
4 3 4
1 2 4
4 1 2
2 3 3
0 1 1
2 0 0
10 8
2 1 0
2 1 1
2 0 1
2 2 1
1 0 2
0 2 0
0 2 2
1 1 2
2 2 0
1 2 0
10 4
2 0 1
2 2 0
0 0 2
2 1 1
0 2 2
1 2 2
2 2 1
0 1 1
1 0 0
0 1 0
10 8
0 3 3
2 2 2
2 1 1
3 0 0
0 0 2
4 1 3
2 2 3
3 0 1
1 2 1
4 4 3
10 3
0 1 4
0 4 0
0 4 1
3 1 4
5 5 1
2 2 5
5 4 0
0 2 4
5 3 1
3 3 3
10 6
1 3 1
4 4 1
0 1 0
0 1 3
2 4 0
1 4 1
3 1 2
3 0 4
3 0 1
1 1 4
10 7
2 4 4
0 0 1
0 3 0
1 2 4
1 1 1
0 3 3
4 3 2
3 0 2
0 4 2
2 4 3
10 2
0 3 4
0 2 1
3 0 1
1 3 0
2 0 3
2 0 4
0 0 2
3 1 2
1 1 1
0 1 1
10 5
0 1 1
0 1 0
2 0 1
0 4 2
2 3 4
2 2 1
3 4 4
4 2 4
2 3 1
0 2 4
10 6
0 2 2
1 0 2
2 1 0
2 0 1
0 1 2
1 2 2
2 0 0
2 2 1
1 1 0
0 2 0
10 8
1 2 2
3 0 1
2 3 3
3 2 0
3 3 0
0 0 3
1 0 0
0 1 2
0 0 2
0 3 2
10 6
4 5 0
5 5 2
4 1 2
2 0 2
0 4 4
1 1 5
0 0 0
4 3 1
2 3 1
1 5 4
10 7
0 1 0
2 1 2
2 0 2
0 2 1
0 2 0
1 2 1
1 1 1
2 0 1
0 1 1
1 0 2
10 5
0 3 1
3 3 3
2 3 1
0 3 3
1 3 1
3 3 2
1 1 3
0 2 0
2 2 3
1 2 1
10 9
0 1 4
3 2 1
2 3 3
1 5 5
0 2 1
2 4 1
0 1 2
3 1 0
0 2 3
4 5 0
10 2
2 1 0
2 1 2
2 1 1
2 0 1
0 0 1
1 0 1
0 2 0
2 2 2
1 0 2
0 2 2
10 5
2 4 4
3 3 0
0 3 4
4 4 1
1 2 0
2 0 4
1 1 0
1 4 3
0 4 3
4 0 0
10 8
2 0 5
0 2 2
0 4 0
1 0 1
1 5 0
1 2 0
2 5 3
5 4 5
4 0 4
5 3 4
10 8
1 1 1
0 1 2
2 0 1
2 2 3
2 2 1
2 3 0
3 2 3
1 1 2
0 0 0
3 2 2
10 3
0 5 0
5 1 4
1 0 1
2 1 1
3 0 5
5 0 2
2 0 2
5 1 2
4 4 1
5 0 1
10 9
2 1 2
2 2 1
0 1 0
2 1 1
2 0 1
1 2 0
1 2 1
2 2 2
2 0 2
1 0 2
10 3
2 2 2
1 2 0
2 0 1
0 1 2
0 2 2
1 0 1
1 0 2
0 1 0
2 1 2
2 2 0
10 4
4 0 2
4 1 3
3 1 1
4 1 0
3 1 3
5 4 5
4 2 3
0 2 1
4 3 2
0 3 5
10 5
1 0 2
0 2 0
3 4 4
3 2 4
3 0 3
2 2 0
2 4 4
3 3 2
4 3 3
1 0 3
10 3
3 3 3
2 0 2
3 3 0
3 0 1
3 2 3
0 0 3
1 0 2
1 3 1
2 2 0
1 3 0
10 7
0 1 1
2 0 2
2 0 0
3 2 2
1 3 1
1 0 1
1 3 0
0 1 2
2 3 0
1 2 2
10 4
3 3 4
0 3 1
4 0 1
2 0 2
2 1 0
0 2 4
0 3 3
0 2 0
3 0 1
4 0 3
10 7
0 0 2
1 1 0
2 1 0
0 0 0
2 3 1
2 1 1
1 2 1
0 1 2
3 1 2
0 1 1
10 7
2 0 2
1 3 0
3 1 3
3 3 0
0 1 3
3 3 3
0 3 1
2 1 3
2 0 3
1 3 1
10 3
1 1 4
4 3 3
1 3 2
2 4 0
0 0 0
4 4 0
0 4 2
3 2 4
1 3 3
0 0 4
10 5
2 2 2
1 0 2
2 1 1
2 0 1
2 2 0
1 1 1
1 1 0
0 1 0
2 0 2
0 0 0
10 3
3 2 3
3 1 4
1 2 4
2 4 1
0 2 1
3 4 3
0 0 0
0 3 4
4 2 0
0 1 2
10 9
3 4 3
5 0 3
2 1 4
2 0 4
0 4 1
2 1 3
4 3 5
5 3 5
1 1 0
0 0 5
10 6
1 0 0
0 0 3
2 0 0
2 0 2
1 1 1
3 2 3
3 3 3
3 1 2
1 0 1
2 0 3
10 7
4 3 4
4 5 1
1 1 5
3 4 4
0 1 4
1 4 5
5 3 2
3 5 5
3 4 5
3 2 0
10 4
2 0 0
5 4 2
4 0 2
3 0 4
4 4 1
0 0 1
0 5 5
0 4 4
3 2 4
3 5 4
10 7
2 1 1
1 1 2
2 2 2
0 1 0
2 2 0
0 0 2
0 2 1
1 1 0
2 1 0
1 2 2
10 4
2 1 2
0 3 0
2 2 2
1 2 0
1 0 0
2 3 0
3 1 3
1 2 3
3 3 1
1 3 0
10 7
1 0 3
3 3 2
0 2 2
1 1 2
2 0 1
2 1 1
2 3 0
2 2 3
1 0 1
3 0 2
10 7
1 0 4
3 4 1
1 5 5
4 4 5
1 0 0
5 3 5
3 2 5
2 5 5
3 1 1
4 0 2
10 4
2 1 1
1 2 0
1 0 2
1 0 0
2 0 2
0 0 0
2 2 1
2 2 0
1 1 0
0 1 2
10 6
2 2 0
2 0 1
2 1 0
0 0 1
2 2 1
1 2 2
1 0 1
1 0 0
0 1 2
2 1 1
10 7
1 2 4
2 3 1
0 5 2
1 1 4
5 3 1
3 4 2
0 2 2
5 3 2
4 4 0
5 0 5
10 6
1 1 0
2 1 0
1 1 1
0 2 2
2 2 2
1 2 1
1 0 2
0 0 2
1 0 1
0 2 1
10 5
1 4 1
0 4 3
3 0 2
1 3 3
1 1 1
1 1 2
0 0 1
0 2 2
0 0 3
3 3 2
10 3
4 2 4
1 4 2
3 0 3
5 0 3
3 5 0
2 4 4
4 2 2
1 5 4
4 3 2
1 0 0
10 5
0 1 2
0 1 1
2 1 1
2 2 1
0 0 1
1 0 2
1 0 0
2 2 0
2 2 2
2 0 0
10 9
4 3 4
3 1 5
4 1 2
1 4 4
3 2 4
2 2 2
2 0 1
5 3 1
4 1 1
4 2 1
10 2
2 1 0
2 2 1
1 1 0
1 1 1
1 0 1
2 2 0
1 2 0
0 0 2
2 0 1
2 1 1
10 5
2 2 3
2 0 0
3 0 2
0 3 0
1 1 4
0 1 3
2 1 3
2 3 3
3 1 1
3 2 4
10 5
2 1 3
0 3 2
3 0 1
0 0 1
2 2 3
3 3 0
0 0 3
0 2 1
3 2 0
0 0 0
10 6
1 1 0
0 0 2
2 1 0
2 1 2
0 1 0
1 2 0
2 0 0
1 0 1
2 2 0
0 1 1
10 9
1 5 1
1 5 3
5 3 0
3 2 3
3 4 5
1 0 4
0 0 2
0 5 4
4 4 5
4 4 3
10 5
1 1 2
2 0 2
1 0 1
1 1 1
2 2 2
0 1 1
1 2 2
0 0 2
2 0 0
0 2 2
10 8
2 2 3
3 1 1
0 1 0
0 3 3
1 2 1
0 3 1
2 0 0
0 1 2
2 0 2
3 3 3
10 6
3 3 3
1 2 0
1 2 3
2 0 1
0 1 0
2 0 2
1 0 2
3 0 4
3 2 4
2 3 2
10 5
0 1 1
1 0 2
2 1 2
0 0 2
1 1 1
1 1 0
0 0 1
0 0 0
1 0 0
1 1 2
10 2
2 0 1
0 2 0
2 0 0
1 2 1
2 1 2
1 1 1
0 2 2
2 2 2
2 1 1
2 0 2
10 4
3 0 3
0 0 0
2 0 0
3 3 0
3 3 3
0 3 1
0 2 3
2 0 2
1 0 2
2 1 2
10 7
2 0 1
0 1 0
1 2 1
1 1 0
0 2 1
1 2 2
2 2 0
1 1 1
0 2 0
0 1 1
10 2
3 0 4
2 3 2
1 0 3
1 2 1
0 2 2
2 2 2
1 4 2
4 0 0
3 2 3
1 3 4
10 3
1 3 3
0 3 2
3 0 2
1 1 3
0 2 2
0 2 1
3 1 2
2 0 3
3 1 3
2 2 1
10 3
0 3 1
0 3 3
0 5 1
0 4 1
3 3 2
5 4 0
4 0 3
2 4 0
3 2 0
0 2 5
10 7
1 1 1
2 1 1
0 1 2
1 2 2
1 1 2
2 0 0
2 2 2
0 1 1
2 0 1
2 1 2
10 6
1 1 2
1 0 0
0 1 3
3 2 1
0 3 1
2 2 1
0 2 3
0 3 2
0 3 0
3 2 3
10 7
1 1 1
3 1 2
3 0 2
1 3 1
0 2 1
2 0 2
0 2 2
1 3 0
3 1 0
3 1 3
10 9
1 1 0
1 0 1
2 2 0
0 2 1
0 1 2
0 1 0
2 2 1
1 0 2
1 1 1
0 0 2
10 4
1 3 1
3 0 3
2 1 2
1 3 0
3 3 0
2 0 3
3 2 0
2 2 1
3 0 0
1 0 0
10 6
1 4 1
0 3 4
1 1 0
0 1 2
1 2 1
0 4 3
1 0 1
2 2 0
0 1 0
3 0 0
10 9
2 2 0
1 0 1
0 2 2
2 1 1
0 2 0
0 1 2
2 0 1
1 2 2
2 0 0
1 0 2
10 2
0 2 1
3 4 2
2 0 1
1 1 3
2 1 2
0 2 4
2 2 3
2 1 1
2 3 3
1 1 1
10 8
0 3 3
1 0 1
0 0 2
3 2 3
0 1 3
3 2 0
0 1 0
2 3 3
3 0 3
0 0 0
10 9
3 0 1
3 1 1
4 4 0
4 1 4
0 3 1
1 3 2
4 1 2
1 1 0
2 0 3
1 4 2
10 3
4 2 0
4 3 1
3 1 3
4 3 0
3 1 0
3 0 1
2 1 3
1 3 2
1 2 4
1 1 2
10 3
2 2 3
3 3 3
0 0 3
3 2 1
3 1 0
2 1 1
1 3 0
0 0 2
3 1 3
0 0 1
10 8
3 2 2
3 1 1
0 1 1
1 2 2
2 1 3
2 3 1
3 2 0
3 0 0
3 3 3
0 0 0
10 2
2 2 0
2 1 0
1 0 1
1 2 1
0 0 1
2 1 2
1 0 2
1 1 1
0 2 0
1 1 0
10 4
0 1 1
2 0 0
2 1 2
0 2 2
2 2 0
0 0 0
1 0 2
2 2 1
0 1 0
2 0 2
10 3
4 1 0
3 2 0
0 0 4
4 3 1
2 1 2
4 4 3
1 4 2
0 2 2
3 4 3
1 2 0
10 8
0 4 3
3 4 1
0 2 4
1 2 2
2 4 4
3 4 4
2 1 0
0 2 2
1 4 2
0 4 4
10 2
4 4 0
1 1 2
1 4 0
3 0 1
4 4 1
4 2 3
4 1 4
1 2 0
0 0 4
2 4 0
10 6
1 2 2
1 3 2
3 1 1
2 0 3
0 2 3
3 1 2
2 3 0
1 2 1
1 0 3
2 3 2
10 8
4 2 5
4 1 1
2 0 1
3 1 2
0 1 3
4 0 4
5 3 2
4 5 1
2 3 1
1 2 4
10 6
2 1 0
0 0 1
1 1 2
1 2 1
1 1 0
2 2 2
2 1 1
1 0 0
2 0 2
1 0 1
10 9
0 2 1
2 0 2
0 0 1
0 2 2
0 1 2
2 2 0
2 1 2
2 2 2
1 2 0
2 0 1
10 3
0 2 1
0 1 2
2 2 1
0 0 2
0 1 0
1 0 1
2 0 2
1 2 1
2 2 2
0 0 1
10 9
2 2 2
2 1 0
2 0 1
1 2 2
0 0 0
1 1 2
0 2 0
0 1 2
1 0 0
1 2 1
10 4
0 0 0
2 0 0
2 1 2
2 2 0
1 1 2
0 1 1
1 0 0
0 1 2
0 0 2
0 2 1
10 5
2 1 2
1 0 2
1 0 1
0 1 0
0 0 0
0 1 1
1 2 1
2 0 2
1 1 2
0 2 2
10 7
2 2 2
1 1 1
0 2 1
2 1 2
1 1 0
2 0 0
1 0 1
1 2 1
2 0 2
0 2 2
10 7
0 1 0
1 3 1
3 3 1
2 4 1
3 0 3
2 1 1
4 0 2
2 3 0
2 1 2
1 0 4
10 7
0 1 4
3 1 2
2 2 3
4 4 0
3 2 3
2 0 0
4 3 2
1 3 3
3 2 4
2 2 0
10 3
5 1 2
0 1 0
2 0 0
4 3 5
1 5 0
4 2 2
0 3 2
1 2 2
1 3 3
2 3 2
10 9
2 2 0
2 2 1
2 0 1
0 2 3
1 3 3
2 1 1
1 1 1
3 3 1
0 1 0
0 3 1
10 6
1 1 0
1 1 2
1 0 1
0 1 0
0 1 1
1 0 2
2 1 0
0 0 1
2 1 1
0 0 0
10 8
4 4 4
5 1 3
2 0 4
2 1 4
1 1 5
2 2 2
1 4 0
0 1 2
1 3 3
3 4 5
10 7
3 2 0
0 4 2
2 1 3
1 2 3
1 3 2
3 1 2
4 3 0
4 2 0
4 1 2
2 3 2
10 6
3 0 4
2 0 4
2 3 3
1 2 3
1 2 2
2 2 4
0 0 4
0 1 2
4 2 3
0 1 3
10 8
3 0 1
3 5 2
0 0 4
1 2 2
2 4 3
3 1 3
0 3 2
2 2 3
5 1 3
5 3 0
10 5
0 0 2
2 1 0
0 1 2
1 1 0
1 0 1
3 3 0
2 0 1
2 2 0
1 1 1
1 0 3
10 2
0 0 3
3 3 1
2 4 3
1 4 0
2 1 3
0 3 4
1 4 4
2 3 0
0 3 0
0 3 3
10 4
5 1 4
4 5 0
4 0 1
3 1 2
1 3 2
0 5 4
5 1 5
4 3 4
1 0 4
2 1 2
10 2
2 2 1
2 2 4
0 1 1
2 3 3
0 4 3
1 4 0
1 1 2
1 0 0
1 1 1
0 3 0
10 8
3 4 2
4 4 4
0 3 1
2 0 3
4 4 0
1 3 2
0 1 1
2 1 3
1 3 1
2 2 3
10 2
2 3 3
5 5 0
1 0 4
2 4 3
3 5 2
0 2 1
3 0 2
3 0 3
0 4 0
3 2 0
10 4
3 3 1
3 1 2
0 1 0
2 2 3
3 1 3
2 2 2
3 2 2
3 3 3
1 0 0
3 2 0
10 5
1 5 2
3 0 3
4 0 3
3 5 3
5 4 3
4 2 2
5 3 4
5 3 5
0 3 0
4 3 5
10 7
0 1 1
1 1 1
2 0 1
2 0 2
2 1 2
2 2 0
1 2 1
0 0 1
0 1 0
0 0 0
10 6
1 0 4
3 1 4
2 4 3
5 3 0
2 0 1
2 2 2
2 2 0
2 5 0
2 5 3
3 3 4
10 5
2 1 1
4 1 2
3 2 3
0 0 4
4 2 0
1 0 4
2 3 2
1 2 4
4 1 0
2 1 3
10 2
0 0 1
1 3 2
1 1 2
1 2 0
1 3 1
1 1 0
2 3 3
1 1 1
3 2 3
0 0 2
10 2
0 3 0
0 1 0
0 0 4
3 3 0
4 4 0
2 4 1
0 0 3
3 1 2
4 1 0
1 2 2
10 6
4 2 1
4 1 2
2 4 2
0 0 2
3 3 2
4 2 0
1 1 4
3 1 4
2 2 3
0 0 4
10 7
0 5 0
4 0 4
1 2 1
3 4 1
5 3 4
0 4 4
2 1 0
2 0 0
0 2 2
5 3 2
10 7
0 1 2
2 2 0
0 0 1
0 1 1
2 1 0
0 2 1
2 0 0
1 1 2
2 2 2
1 0 0
10 8
2 0 2
1 0 0
2 2 0
2 0 0
2 1 0
1 0 2
0 0 0
0 2 1
1 1 0
1 2 2
10 8
4 3 4
4 4 3
1 2 0
2 3 4
0 4 3
0 0 0
2 0 1
1 2 2
2 3 2
2 0 4
10 7
4 1 1
4 4 0
2 0 3
3 2 4
0 1 2
4 1 2
0 1 3
2 0 0
3 1 1
0 4 3
10 2
1 2 1
2 1 1
3 3 2
0 1 2
1 3 2
1 1 1
0 2 3
0 3 3
0 3 1
2 2 0
10 7
3 3 4
3 0 4
4 3 4
4 2 5
1 2 0
5 0 4
0 5 4
2 2 2
3 1 3
4 4 4
10 9
1 2 0
1 4 0
1 2 4
3 3 3
2 3 4
1 3 1
2 4 1
2 1 3
3 4 2
2 0 1
10 6
1 0 0
0 2 2
2 2 1
0 1 1
2 1 0
0 1 2
1 1 1
2 2 0
2 0 2
2 0 0
10 7
2 2 1
1 2 2
1 2 0
1 2 1
1 1 0
1 1 1
2 1 1
0 0 0
2 2 0
1 1 2
10 2
1 0 2
2 1 1
1 1 0
0 1 2
2 1 0
0 0 0
0 2 2
0 0 1
2 0 1
1 0 0
10 9
2 2 2
0 1 0
0 1 2
1 2 1
1 0 2
1 0 0
2 1 2
2 1 1
0 2 2
0 2 0
10 8
0 3 0
3 2 2
3 1 2
3 2 3
0 4 2
2 4 4
1 1 2
2 1 2
3 1 3
3 3 3
10 7
2 1 1
2 3 3
0 0 3
0 0 2
2 1 0
3 0 3
2 1 3
1 3 3
0 2 1
0 0 1
10 6
3 2 2
2 4 3
4 0 4
3 1 2
4 0 2
3 1 0
3 0 0
1 1 1
2 0 3
4 1 0
10 9
4 5 1
5 1 2
3 1 5
5 4 3
0 3 5
5 4 1
3 3 5
2 1 2
1 1 2
4 5 2
10 7
1 1 0
0 1 2
0 0 2
2 0 2
0 1 0
0 1 1
0 2 0
2 1 2
2 0 1
0 0 1
10 9
0 2 3
1 3 1
4 4 3
2 0 2
3 0 0
3 4 1
2 3 1
4 4 4
3 4 3
4 1 2
10 9
2 3 3
1 1 0
1 4 2
0 0 3
2 3 4
3 2 2
1 0 1
0 2 3
3 0 4
2 1 1
10 6
2 2 2
3 3 1
0 2 3
0 1 2
0 0 0
0 3 1
3 1 2
2 1 2
1 2 2
0 0 2
10 5
2 2 2
1 3 1
4 2 0
3 2 2
1 4 0
3 1 3
3 0 4
2 3 1
0 4 1
3 1 4
10 2
1 1 0
3 2 4
4 4 1
0 1 1
2 2 3
2 4 0
2 1 0
3 0 2
0 2 2
1 3 1
10 4
0 3 2
3 0 1
1 0 1
2 2 3
2 3 0
2 3 1
3 1 2
1 3 3
2 0 3
3 3 1
10 3
2 1 1
2 1 2
0 1 1
2 2 1
2 0 0
1 0 0
1 1 1
0 1 0
0 0 2
2 0 2
10 5
0 3 5
4 2 4
4 3 5
2 1 5
5 5 3
3 3 3
1 2 5
4 3 4
3 1 0
0 4 5
10 4
2 4 1
2 2 1
4 0 4
4 1 4
4 1 1
3 0 4
0 1 3
2 0 2
0 4 3
2 2 3
10 4
1 0 2
2 0 3
2 1 3
0 1 1
0 1 0
3 3 3
1 0 3
3 2 1
3 1 1
0 3 1
10 8
0 1 1
1 2 1
2 0 1
1 2 2
2 1 2
2 2 1
0 0 1
0 2 1
2 0 2
0 1 2
10 7
0 2 0
0 1 2
0 1 0
0 2 1
1 0 1
0 2 2
2 2 2
0 0 1
2 0 2
1 2 2
10 6
2 3 2
0 2 2
1 2 1
3 0 0
2 1 0
2 0 2
3 0 1
1 0 2
3 3 0
2 0 1
10 8
0 2 1
2 0 2
0 2 0
1 0 0
0 1 2
1 0 2
1 1 0
1 0 1
2 1 2
1 2 2
10 7
0 0 1
3 3 2
2 2 0
2 0 3
0 1 0
3 2 3
3 2 1
1 2 1
1 1 2
3 0 0
10 5
0 3 2
0 2 3
1 3 2
1 3 1
2 3 2
2 0 0
0 3 0
1 1 3
3 0 2
3 2 3
10 6
1 3 1
0 1 3
2 1 3
3 1 0
1 2 1
1 2 2
0 2 2
1 0 2
2 0 1
3 2 3
10 8
0 2 1
1 0 0
0 0 2
1 0 2
0 1 0
2 1 2
0 0 1
0 1 1
1 2 1
1 2 0
10 9
2 2 0
0 1 2
2 1 2
0 0 1
0 2 0
1 2 1
1 0 2
1 2 0
0 0 0
2 1 1
10 6
0 3 4
1 1 1
3 1 0
1 4 3
3 2 1
3 1 1
1 4 0
3 4 1
3 2 2
3 1 2
10 7
0 1 1
2 1 2
3 3 0
1 2 3
2 0 3
3 1 3
3 0 1
2 3 0
2 0 1
0 3 2
10 8
0 2 3
0 4 0
0 2 0
2 1 4
4 2 0
1 3 2
3 2 4
2 4 1
1 2 2
0 2 2
10 2
2 0 1
3 0 0
3 3 1
1 3 2
1 2 0
1 2 2
1 3 3
3 0 2
2 2 3
2 3 3
10 4
0 1 5
5 2 4
1 3 2
0 2 1
3 0 2
5 2 0
4 4 1
5 4 5
3 3 2
1 5 0
10 9
0 0 2
3 2 1
2 4 3
0 0 1
0 3 2
3 2 4
0 0 0
3 1 3
2 3 3
4 0 1
10 2
5 1 5
3 3 0
1 0 3
0 3 4
5 1 2
5 4 1
2 3 2
3 5 1
5 4 0
0 5 4
10 4
2 2 2
1 2 1
1 2 0
0 1 0
0 0 2
1 1 0
1 0 2
1 0 0
2 0 2
0 2 0
10 6
4 1 3
4 4 4
0 2 0
0 4 3
3 5 5
0 1 2
2 5 0
4 2 0
1 3 3
4 5 1
10 9
1 2 0
1 1 2
3 2 3
0 3 0
4 4 2
0 2 2
4 2 4
1 2 4
1 0 2
4 1 2
10 5
5 2 4
2 4 0
0 1 4
1 1 5
4 5 5
1 5 0
3 3 5
2 2 1
4 2 1
0 3 4
10 4
1 0 2
3 2 1
0 3 3
0 1 3
3 1 2
0 3 2
1 1 3
1 0 1
1 3 0
2 2 3
10 4
1 2 1
1 1 0
1 0 2
1 3 1
3 0 0
0 3 3
1 1 1
0 2 2
1 3 3
3 3 3
10 9
0 2 3
0 3 0
2 1 1
3 2 3
2 1 2
2 0 3
1 3 1
2 0 1
2 0 0
0 1 3
10 5
0 0 2
3 1 0
1 3 1
0 1 2
1 3 3
1 2 2
1 1 2
3 0 1
1 2 3
0 3 2
10 6
5 5 4
3 2 2
4 0 5
0 1 5
2 5 1
2 5 0
5 1 3
0 2 5
1 0 2
0 4 4
10 3
3 0 3
1 2 2
0 0 1
0 3 1
2 3 2
1 2 3
1 1 2
0 1 3
1 1 3
3 3 3
10 3
1 0 4
0 2 2
1 3 1
3 1 4
1 0 0
0 1 3
4 3 3
2 4 3
3 4 3
1 4 3
10 9
2 1 0
2 2 0
2 3 3
1 3 1
4 2 2
4 4 3
2 1 4
2 2 3
1 4 1
2 3 2
10 2
0 2 2
2 1 1
0 2 1
2 0 2
1 0 2
2 2 0
1 2 0
0 1 1
1 1 0
0 0 1
10 2
1 2 0
5 2 1
0 0 2
2 0 1
1 2 1
1 1 4
4 5 5
4 2 2
0 1 1
4 3 3
10 3
0 2 2
4 1 3
3 2 1
2 3 3
3 0 2
5 0 4
4 5 0
2 4 3
0 5 2
2 1 5
10 8
0 1 2
1 2 2
1 0 0
0 0 0
2 3 2
3 2 1
1 1 2
1 3 2
0 3 0
0 1 3
10 7
1 3 3
4 0 3
1 4 4
2 4 1
4 2 2
1 1 3
4 1 3
2 1 0
1 0 0
3 2 1
10 4
1 1 2
0 2 1
0 3 3
1 2 2
4 0 0
3 4 1
2 0 0
3 0 0
0 4 1
4 0 1
10 9
1 1 1
0 1 2
1 0 0
2 0 0
2 1 2
2 2 2
0 2 1
1 1 2
1 2 2
0 0 1
10 7
2 0 3
1 1 0
2 4 1
2 2 3
4 3 4
4 2 4
4 4 2
4 2 2
0 4 0
3 0 2
10 9
2 4 5
0 2 1
3 2 0
0 5 5
4 5 5
4 5 4
5 1 4
1 3 1
4 2 2
0 5 4
10 4
5 4 3
1 4 1
0 0 4
4 2 4
2 3 4
3 0 1
4 1 2
2 1 5
2 2 1
0 1 3
10 3
1 1 1
1 1 0
0 0 1
2 2 0
0 1 1
2 1 0
2 0 2
1 1 2
2 2 1
1 0 1
10 9
0 5 2
0 5 3
4 1 1
4 2 0
2 4 2
4 3 5
5 3 5
1 0 2
0 3 1
2 5 1
10 4
1 0 1
0 2 2
0 0 1
0 1 2
1 0 0
1 1 2
1 0 2
1 2 1
0 0 0
2 1 1
10 8
1 2 0
3 2 0
2 1 2
3 2 1
3 1 0
0 1 3
0 3 0
2 3 4
1 3 3
4 4 2
10 8
1 2 2
1 0 2
2 1 1
0 0 2
2 2 1
1 0 0
1 1 2
0 0 0
0 2 1
1 1 0
10 2
0 2 2
2 2 0
2 1 0
0 0 0
1 1 1
1 2 1
1 2 0
0 0 2
1 1 0
0 2 0
10 3
2 2 2
2 2 1
2 1 0
1 0 2
0 0 1
1 1 2
0 1 2
2 1 1
2 2 0
1 0 0
10 6
3 0 2
2 1 4
1 2 0
3 3 5
4 5 2
5 4 1
0 2 1
5 5 0
2 3 4
5 2 3
10 3
1 0 2
0 1 2
2 2 0
0 1 1
2 1 2
2 0 0
0 0 0
0 0 1
0 1 0
1 0 1
10 9
0 4 0
3 1 3
1 3 3
2 4 4
3 3 2
1 0 2
2 0 3
3 4 2
2 3 2
3 3 3
10 8
0 1 2
4 3 1
1 4 4
4 2 4
3 4 0
2 0 1
2 2 4
4 4 0
4 3 3
4 0 1
10 4
1 2 2
0 1 3
2 3 0
2 3 1
1 3 2
3 1 0
1 0 2
0 0 2
3 0 1
0 1 0
10 3
4 0 4
1 3 4
1 2 2
2 4 4
0 3 3
0 0 0
0 2 3
0 1 3
0 3 4
2 2 1
10 8
2 1 2
1 2 2
0 2 0
2 2 2
0 2 2
1 0 2
2 1 1
0 0 0
2 1 0
1 1 2
10 2
2 1 2
2 0 0
0 1 0
2 0 1
0 1 1
1 1 2
2 1 1
2 2 1
1 1 0
1 0 2
10 5
2 3 4
4 4 2
3 2 0
1 2 3
4 3 3
0 0 3
3 4 4
4 3 2
4 0 4
3 3 1
10 9
3 3 3
3 3 2
1 2 3
1 0 0
1 3 0
3 1 2
2 3 0
2 2 1
3 0 2
2 0 2
10 3
0 4 4
4 0 5
4 4 5
3 1 2
0 3 4
1 2 2
0 0 2
4 1 2
5 2 0
1 0 3
10 2
2 0 0
2 2 1
0 2 2
1 0 2
2 2 2
0 0 2
1 0 1
0 1 2
0 2 0
2 1 2
10 5
1 0 0
1 2 2
2 0 2
1 2 1
2 1 0
0 2 0
0 2 1
2 1 1
0 1 2
1 0 1
10 8
0 2 3
2 2 3
2 1 0
4 4 4
0 0 3
3 5 5
3 3 3
5 5 1
1 4 2
0 4 2
10 9
0 1 0
2 0 1
2 0 0
1 2 2
2 2 0
0 1 1
0 0 0
2 1 2
1 1 1
2 2 1
10 9
1 2 0
1 0 1
0 2 0
1 2 3
3 3 1
3 2 0
3 3 0
2 2 0
3 0 0
0 0 0
10 5
5 3 2
2 1 3
0 2 3
2 1 4
3 2 1
4 4 0
1 3 5
0 3 3
0 0 1
2 3 2
10 3
0 2 3
2 3 1
2 3 0
2 2 0
3 3 3
3 1 2
1 2 2
1 0 3
3 1 0
2 1 1
10 9
5 3 5
0 5 3
4 5 0
3 2 0
2 4 0
1 1 4
3 4 5
5 2 5
5 2 0
5 2 2
10 9
3 1 2
3 4 3
3 4 2
2 4 0
0 0 3
4 4 3
3 2 3
0 4 2
1 1 2
3 3 4
10 5
1 0 0
0 1 2
2 0 0
1 1 1
1 1 2
1 0 2
1 0 1
2 1 1
2 2 2
0 0 1
10 7
4 2 3
3 1 4
0 4 3
1 5 5
0 0 2
4 3 0
1 2 1
5 1 0
5 0 1
1 0 0
10 3
3 4 3
2 0 1
0 0 2
4 0 0
1 1 2
2 3 3
1 2 1
0 0 0
3 4 2
1 4 0
10 6
2 0 1
1 0 0
2 1 0
0 1 2
0 2 1
1 0 1
0 0 1
0 1 0
2 2 2
2 2 1
10 8
1 2 2
0 1 1
2 0 1
2 0 0
0 2 1
1 2 1
1 0 1
2 1 1
1 2 0
1 1 2
10 6
1 2 2
2 2 2
2 0 2
0 0 0
0 0 2
1 0 1
0 2 1
2 1 2
1 2 1
2 0 1
10 2
4 3 1
4 5 4
3 0 0
4 0 3
2 1 0
4 1 0
2 5 4
4 5 3
0 5 2
4 2 2
10 2
4 3 0
1 1 3
1 1 2
3 1 3
2 1 0
0 1 4
1 1 0
3 1 4
1 4 3
4 4 0
10 3
3 3 2
1 2 3
3 3 4
0 0 2
3 1 2
1 2 0
0 4 4
1 4 0
4 1 4
3 4 0
10 5
0 0 0
0 0 2
1 2 2
2 0 0
1 2 1
0 2 2
0 1 1
2 2 1
2 2 0
2 0 1
10 5
1 2 1
0 1 0
1 1 0
1 2 2
2 2 0
0 2 2
0 0 0
0 1 1
2 2 1
1 0 2
10 2
2 4 1
3 1 2
0 3 1
4 1 4
3 5 0
1 2 0
0 2 1
3 3 2
0 5 2
3 0 3
10 7
1 2 3
1 3 2
2 3 3
1 3 0
1 3 3
1 1 1
1 1 3
3 1 0
0 2 1
2 1 1
10 7
1 0 1
3 2 0
0 0 0
1 4 2
0 1 3
4 3 4
2 2 1
0 3 4
4 1 2
4 1 1
10 8
0 4 0
3 2 0
4 4 0
2 4 4
3 0 2
0 2 1
2 4 0
3 2 1
0 0 3
0 4 3
10 2
1 2 3
2 1 4
0 4 0
0 3 2
3 0 3
4 1 4
0 2 0
1 0 0
0 4 3
2 4 3
10 8
5 5 5
5 3 3
3 0 0
3 4 2
4 5 2
3 5 4
3 1 3
0 0 0
4 5 4
0 0 3
10 2
5 0 4
1 2 1
1 5 1
5 0 0
4 5 3
5 1 3
1 5 5
4 4 5
0 4 3
3 2 5
10 8
0 2 0
0 0 1
1 2 1
2 0 0
0 1 1
0 2 1
2 0 1
0 2 2
1 0 0
2 2 2
10 6
2 2 0
2 1 2
0 0 2
0 2 2
2 0 1
2 1 0
0 2 1
2 2 1
2 1 1
2 0 0
10 8
1 2 1
2 0 2
0 0 2
1 1 0
2 1 0
0 1 1
2 1 2
2 2 2
0 1 2
1 1 1
10 9
2 0 2
4 4 0
0 3 1
0 3 4
1 0 0
3 4 2
0 0 1
0 1 2
3 4 1
1 4 2
10 3
1 3 3
1 1 2
2 1 3
3 3 0
0 0 2
3 3 1
2 0 2
0 0 3
2 1 0
1 1 1
10 9
3 3 2
1 1 3
2 1 0
0 2 0
2 0 1
1 3 3
1 2 0
1 0 2
1 3 0
3 2 2
10 2
3 3 2
1 3 3
3 2 0
3 2 3
3 2 2
0 1 0
1 0 2
1 2 2
1 3 0
0 2 3
10 7
0 4 2
3 1 1
3 3 2
2 4 2
0 3 1
3 4 0
2 3 0
2 4 1
1 2 0
0 2 2
10 6
2 2 1
2 2 2
0 2 1
1 1 2
1 1 0
1 0 0
1 2 1
0 1 0
1 2 2
2 1 1
10 7
3 0 2
3 3 4
0 2 1
3 4 1
1 4 2
2 2 2
1 3 0
4 2 3
3 1 0
3 4 0
10 4
0 1 1
2 0 1
1 2 1
1 1 2
1 0 2
0 0 0
2 1 0
0 2 2
2 2 1
2 1 2
10 6
2 2 3
0 1 2
1 3 3
1 0 1
1 3 1
1 3 0
3 1 1
3 0 2
2 3 1
0 0 3
10 6
2 1 2
1 2 1
2 0 1
2 0 0
1 0 0
0 2 0
0 1 0
1 2 0
1 1 2
1 0 1
10 5
2 1 0
0 1 1
1 1 2
2 2 0
0 1 0
0 0 1
1 0 0
2 1 1
1 2 1
1 1 0
10 2
4 5 4
5 3 2
0 4 4
1 0 2
4 3 2
4 2 4
3 4 0
1 1 4
3 4 5
3 1 4
10 8
0 0 1
1 3 2
0 3 3
3 2 2
1 3 0
0 1 2
2 3 0
3 1 0
2 1 1
1 2 2
10 4
0 0 3
1 1 1
0 3 2
0 1 2
3 3 1
2 3 1
2 0 3
0 2 0
0 2 1
2 3 2
10 7
0 0 4
1 3 3
3 4 2
2 3 3
2 4 4
2 4 0
1 3 2
4 4 0
1 4 4
1 0 3
10 7
4 1 3
1 2 2
1 4 3
2 1 0
4 2 0
3 1 3
3 2 4
3 4 0
0 1 0
4 0 1
10 7
4 1 1
4 2 2
3 4 2
3 2 0
1 4 4
1 1 4
2 2 4
0 1 3
2 0 3
3 3 1
10 6
1 3 2
0 1 3
3 1 4
1 1 2
1 2 2
3 4 2
1 2 0
1 0 4
1 2 1
2 4 3
10 6
0 3 3
4 3 1
3 0 2
2 4 4
2 3 3
2 0 2
2 1 0
5 5 3
1 5 5
4 2 4
10 8
0 3 0
2 3 2
0 3 3
2 1 0
1 0 3
0 1 3
0 2 1
1 0 0
2 2 1
1 3 1
10 8
1 1 1
2 0 2
0 2 1
2 0 0
0 2 0
1 0 2
0 0 0
0 0 1
2 2 0
0 1 1
10 9
3 0 2
1 3 3
0 0 1
0 3 1
3 1 3
3 3 2
3 3 0
1 0 2
1 2 2
2 0 3
10 7
0 0 0
2 1 1
2 0 2
0 2 1
1 0 2
1 2 1
1 1 2
0 0 1
2 1 2
0 1 2
10 2
1 2 3
2 3 1
0 2 2
3 2 2
3 1 3
0 0 0
1 0 0
3 3 0
2 2 1
3 0 1
10 6
3 3 0
1 4 4
3 4 1
1 0 4
2 3 4
0 3 3
1 1 0
1 4 0
4 1 4
1 3 3
10 3
1 1 3
2 0 0
4 3 2
5 3 0
4 1 3
1 4 3
5 0 2
2 1 3
4 2 1
4 4 3
10 9
1 1 3
4 1 1
3 0 3
2 3 1
2 2 4
2 3 2
3 4 4
4 0 4
4 2 1
1 2 3
10 2
3 1 3
1 0 2
0 0 2
2 1 3
0 0 1
1 1 0
2 0 0
2 2 0
3 3 1
3 1 0
10 2
1 4 2
4 0 2
2 3 1
2 3 3
1 2 0
0 2 2
3 0 1
3 2 1
2 1 0
3 1 2
10 9
3 3 3
1 1 3
3 3 2
3 1 1
1 3 1
2 0 3
0 1 0
3 1 0
2 3 3
3 0 3
10 4
3 1 0
1 2 3
3 1 3
0 0 2
2 2 1
3 2 0
2 1 3
0 0 0
0 2 0
0 3 3
10 5
2 3 1
3 2 1
2 2 3
2 1 2
1 2 1
1 3 3
2 2 0
1 0 0
2 1 1
1 3 0
10 2
0 0 3
1 0 2
2 3 3
2 1 3
3 0 0
0 1 0
2 2 0
0 1 2
1 0 0
1 1 2
10 8
1 3 3
2 1 2
0 2 3
0 1 2
1 1 2
1 0 1
3 2 2
2 1 0
2 2 0
0 1 0
10 4
3 3 0
0 2 3
2 2 1
2 4 3
3 2 1
3 2 0
0 3 0
0 1 0
0 2 2
2 3 2
10 3
2 0 2
1 0 0
0 2 1
3 4 4
0 3 1
3 2 4
1 1 0
0 2 3
4 3 1
4 4 1
10 8
3 3 1
0 0 1
1 2 1
1 0 0
3 0 2
3 3 3
0 1 0
1 1 2
2 2 3
1 3 3
10 3
0 2 2
1 1 2
0 0 2
1 2 2
1 0 0
2 2 0
0 0 1
1 2 0
0 1 1
2 2 2
10 6
4 1 2
4 3 0
1 1 1
3 1 1
4 1 4
2 4 2
0 1 1
0 2 4
0 4 0
4 0 4
10 7
1 2 2
2 2 0
1 5 1
4 5 5
2 3 1
1 1 4
5 3 2
0 1 1
4 0 0
4 4 4
10 3
4 1 4
0 4 3
1 1 1
4 2 1
2 1 1
0 2 3
4 1 3
3 2 2
0 1 0
4 4 3
10 4
1 2 1
3 2 5
2 3 5
1 4 1
3 4 0
5 5 3
1 4 3
1 2 5
0 3 1
3 3 0
10 7
0 0 1
2 2 1
1 1 0
1 0 0
2 0 1
0 2 2
1 1 1
2 2 0
1 2 2
1 2 1
10 4
2 4 3
5 0 3
0 4 1
4 1 2
3 0 2
4 3 5
0 0 1
5 2 5
0 0 0
3 4 2
10 2
0 1 0
0 2 0
0 2 1
2 0 1
1 0 2
2 2 2
0 0 2
2 2 0
2 1 1
2 1 2
10 2
1 0 2
1 2 2
0 0 2
1 0 0
1 0 1
2 0 1
1 1 0
0 1 0
1 2 1
2 1 1
10 7
4 2 5
5 4 5
2 3 4
4 5 3
4 1 3
5 3 4
0 2 0
4 3 1
4 2 2
4 4 2
10 8
2 3 1
1 0 3
2 0 1
3 2 2
3 2 1
0 3 3
3 0 3
2 1 2
0 2 1
3 0 1
10 6
1 0 0
3 0 0
3 1 0
3 1 1
3 2 3
0 0 1
2 0 1
3 3 3
2 1 3
3 0 1
10 6
2 2 0
1 2 1
1 2 2
2 2 1
2 2 2
1 0 0
0 2 1
2 1 2
2 0 0
0 1 2
10 5
1 0 2
1 1 2
0 0 1
2 1 1
2 2 1
2 0 1
0 0 2
1 2 1
0 2 0
0 2 2
10 6
2 2 3
0 3 2
2 2 0
3 1 0
1 1 2
1 0 1
0 2 1
2 2 1
2 0 3
0 2 3
10 4
1 1 0
0 2 2
2 2 0
2 0 1
2 1 1
2 2 2
1 0 2
1 2 0
2 0 0
1 2 1
10 3
3 3 0
3 1 1
1 3 2
0 1 1
0 2 0
1 3 3
0 2 1
3 1 3
2 3 0
1 0 3
10 5
1 4 1
1 3 0
3 1 5
5 1 0
2 0 5
4 2 0
5 2 1
5 2 2
4 0 3
1 1 4
10 3
2 0 0
0 1 2
0 3 0
1 1 3
1 3 2
2 0 2
1 2 3
0 0 0
1 2 1
1 1 0
10 9
0 3 1
2 4 4
0 0 2
3 2 4
1 0 3
1 1 0
3 2 1
3 1 3
3 4 2
4 3 4
10 2
0 1 2
1 4 3
1 0 0
2 2 2
0 3 3
2 1 2
4 2 1
2 3 0
4 4 2
1 1 1
10 4
2 2 3
1 1 1
2 1 3
0 1 3
1 2 2
3 3 0
0 3 0
3 1 2
2 2 1
1 3 2
10 8
2 0 1
0 1 1
1 2 2
1 0 0
0 2 0
2 1 2
0 0 1
2 0 2
0 2 1
0 1 2
10 9
4 4 4
0 0 2
1 4 4
4 3 3
4 4 2
3 1 3
1 3 2
1 0 1
1 1 4
2 2 4
10 2
2 2 0
2 2 1
1 1 0
1 2 1
0 2 0
0 0 1
0 1 0
1 1 2
2 0 0
2 0 2
10 6
0 2 1
0 1 2
1 2 1
0 0 1
0 1 1
2 1 2
1 2 0
0 0 2
2 2 2
2 0 2
10 9
1 2 3
5 0 4
1 5 0
4 5 3
5 3 1
1 3 0
4 1 1
3 4 1
0 2 1
4 1 4
10 5
1 2 2
0 2 1
0 2 2
2 0 2
0 1 1
2 1 2
1 2 0
1 2 1
2 1 1
1 1 0
10 3
2 5 0
1 4 5
0 5 3
1 1 0
2 4 4
3 1 4
3 2 2
5 3 2
3 2 4
2 0 5
10 4
2 1 1
0 3 3
2 1 3
0 2 3
4 2 3
1 3 4
1 4 2
4 2 1
3 1 1
3 4 0
10 3
1 0 2
4 4 2
3 1 1
1 1 2
2 2 1
4 2 2
4 1 2
0 1 4
0 4 2
1 3 1
10 7
3 3 3
2 0 1
1 2 0
3 1 1
2 2 0
3 0 3
1 0 2
3 1 3
2 1 1
1 0 0
10 9
1 2 2
0 1 4
1 5 3
3 0 2
2 4 3
3 1 0
4 4 2
5 5 2
4 2 4
5 1 5
10 6
3 4 0
3 5 1
0 2 1
4 2 0
1 3 0
2 5 1
2 1 2
2 2 0
2 3 1
0 4 1
10 7
0 0 1
0 0 3
2 2 3
1 3 3
1 3 0
2 1 2
2 0 3
3 0 0
3 1 2
1 0 2
10 3
2 2 3
3 2 1
0 0 0
2 2 0
1 2 1
3 2 0
2 1 0
1 2 3
0 3 3
2 3 3
10 2
1 1 2
0 0 1
0 0 2
0 1 0
1 0 2
1 0 0
2 2 0
1 0 1
1 2 1
1 1 1
10 2
0 0 2
1 5 4
1 5 5
2 5 1
5 5 3
0 5 3
0 4 3
5 4 1
4 5 0
1 0 0
10 9
2 1 1
2 3 3
2 3 0
2 2 2
0 1 0
0 3 3
2 2 3
3 1 3
0 2 2
0 0 0
10 2
2 2 1
0 2 2
1 1 2
2 1 0
1 2 1
2 1 1
1 2 2
1 1 0
2 0 0
1 1 1
10 5
0 2 1
1 0 0
2 2 0
2 2 1
0 2 0
0 0 0
1 2 2
2 0 2
0 0 1
0 1 0
10 7
2 1 0
0 3 1
2 5 0
3 1 2
2 4 4
1 4 1
5 5 3
4 3 4
0 2 0
2 0 0
10 4
0 1 2
0 0 0
0 2 2
1 1 0
2 2 2
1 2 2
0 2 0
0 1 1
2 2 0
2 1 1
10 8
2 0 0
0 4 5
5 4 3
1 4 1
3 1 2
2 0 4
0 0 0
4 5 0
3 3 1
0 0 5
10 5
2 0 1
2 1 2
0 2 3
0 2 1
0 3 1
1 3 3
1 1 3
3 2 0
0 1 0
0 0 0
10 9
2 3 0
0 1 1
1 3 1
2 4 3
0 4 0
1 4 4
2 2 0
2 2 2
1 3 2
1 0 4
10 8
3 2 1
4 3 1
1 1 4
3 3 2
2 3 0
2 2 2
3 0 3
3 2 3
1 2 4
4 2 1
10 2
4 3 3
4 0 2
1 1 3
0 1 0
2 4 1
4 3 1
3 3 4
2 4 0
4 4 0
2 0 4
10 9
1 1 5
1 2 2
2 1 2
3 0 4
5 5 1
1 4 4
5 0 2
2 4 4
0 2 0
0 3 2
10 3
3 0 0
2 2 4
1 5 1
4 3 0
5 4 0
0 2 4
2 5 5
3 2 2
2 4 2
4 5 2
10 5
2 0 2
0 1 1
0 0 2
0 1 2
2 0 1
2 2 2
0 2 1
2 0 0
1 1 0
0 1 0
10 7
0 1 0
0 1 1
3 1 3
1 1 3
0 3 2
2 0 1
3 0 2
3 1 2
1 1 0
3 3 2
10 8
1 5 4
4 5 1
5 5 3
1 1 1
2 5 0
3 1 1
4 1 5
5 1 3
4 1 1
2 4 0
10 8
5 5 0
4 5 3
1 1 3
5 4 1
1 4 1
0 5 5
1 3 3
5 5 1
3 0 5
1 1 0
10 6
1 0 1
2 0 2
1 2 1
2 2 1
2 2 2
2 0 0
0 2 0
1 0 2
1 1 1
0 0 0
10 9
2 4 2
2 3 2
1 1 0
2 5 3
5 1 0
1 5 4
3 0 3
0 4 1
3 3 5
2 4 0
10 5
0 1 0
3 3 2
3 2 2
3 1 1
0 2 0
3 0 0
2 1 1
2 0 0
0 0 0
3 3 1
10 9
5 3 4
4 4 3
5 2 0
0 2 2
0 0 0
1 1 2
2 3 0
2 3 1
0 5 4
3 4 2
10 7
1 0 2
2 0 1
1 0 1
2 1 2
2 1 1
0 2 2
2 2 2
1 1 1
0 1 1
0 2 0
10 8
2 2 1
2 1 1
1 2 2
1 1 1
2 2 2
1 0 0
0 0 2
2 1 0
0 2 1
2 0 1
10 7
0 2 1
0 2 2
0 1 0
2 2 2
2 0 2
0 0 1
2 1 0
1 1 1
2 2 1
1 0 0
10 4
3 5 0
3 2 4
4 5 5
3 3 4
4 1 3
3 0 0
3 3 3
1 5 1
0 5 0
1 2 0
10 5
4 1 1
2 5 2
0 1 2
1 4 2
4 4 3
3 4 2
0 3 4
4 2 4
0 4 0
2 4 3
10 4
2 1 3
1 0 2
3 2 3
3 0 0
3 1 2
2 2 3
0 2 2
1 1 1
0 2 1
3 2 0
10 3
3 0 3
0 0 3
2 0 0
1 1 0
2 2 2
0 0 0
3 1 2
3 2 3
3 1 0
0 1 2
10 6
1 2 2
2 2 1
2 1 1
0 2 1
1 1 2
0 2 2
1 0 1
0 2 0
0 1 1
1 2 0
10 3
1 2 3
2 3 4
0 2 2
1 1 0
2 4 1
1 3 3
2 1 3
2 1 0
2 0 3
3 1 4
10 8
2 1 2
2 0 4
4 0 0
2 3 2
4 4 0
2 1 3
1 2 3
3 0 4
4 3 1
4 3 4
10 2
2 5 5
4 4 4
1 3 1
5 4 3
2 2 1
0 3 4
4 1 1
3 4 5
5 1 3
0 5 2
10 8
2 2 0
1 1 0
0 1 1
1 0 2
2 2 1
1 1 2
1 2 0
2 0 1
0 0 2
0 2 0
10 3
2 0 1
1 1 0
0 2 0
1 2 0
1 0 1
0 0 2
2 2 0
2 2 1
1 1 1
0 1 2
10 4
3 3 2
5 5 5
5 2 5
4 3 3
2 1 5
2 2 2
4 2 0
3 2 1
1 1 4
1 0 0
10 4
2 2 0
0 1 0
1 0 1
1 0 2
1 1 1
2 0 0
0 0 0
2 0 2
2 1 1
1 0 0
10 8
2 1 1
1 2 3
3 1 0
0 2 1
1 3 1
1 0 2
1 2 1
2 0 1
3 0 2
3 2 1
10 9
3 0 3
0 2 0
3 2 2
2 0 2
2 1 0
3 1 0
0 1 3
1 2 2
2 2 0
1 1 0
10 7
5 1 3
1 0 1
4 2 5
0 5 0
1 4 0
4 5 1
4 3 5
0 4 4
1 4 2
3 5 3
10 6
2 0 0
2 1 1
0 1 1
0 2 2
0 1 2
0 0 0
0 0 2
1 0 1
0 2 0
0 1 0
10 9
1 0 1
1 1 0
1 0 2
2 0 0
2 1 0
1 1 1
0 2 0
1 2 2
0 1 2
0 1 1
10 8
0 4 0
2 0 3
1 1 3
0 2 2
0 2 3
4 3 2
3 4 1
1 2 4
2 3 4
4 4 4
10 7
4 4 0
5 2 4
5 0 1
0 1 0
5 2 0
4 5 1
0 1 5
4 1 0
0 4 4
2 1 4
10 3
1 2 0
3 2 1
0 0 1
3 0 0
0 3 3
0 2 1
1 3 0
3 3 3
3 1 2
2 0 2
10 5
1 2 1
3 2 3
3 3 3
3 1 3
1 3 2
1 0 1
1 0 3
3 2 1
1 1 2
3 0 0
10 3
2 2 1
2 0 1
1 2 2
2 2 3
1 3 1
2 1 0
0 0 2
2 3 1
1 0 1
0 0 3
10 7
0 2 0
2 1 2
2 0 0
0 1 2
0 0 1
0 0 2
0 1 1
2 2 2
1 0 2
1 0 1
10 7
1 2 0
2 1 1
2 2 1
2 2 2
2 0 1
2 1 0
1 0 1
1 0 0
1 1 1
0 0 0
10 8
2 2 1
2 1 1
3 2 0
0 2 1
0 3 0
2 2 2
3 3 2
0 2 3
3 0 2
3 2 2
10 7
4 0 1
2 2 2
0 1 0
2 2 4
1 2 0
3 1 2
3 4 3
4 2 2
4 3 1
2 1 2
10 6
2 1 2
2 0 2
2 0 0
1 2 1
0 0 0
1 0 0
1 1 0
0 2 1
0 1 0
0 0 2
10 5
1 1 1
1 0 1
1 0 2
3 2 4
4 0 3
2 0 2
0 1 2
2 2 1
1 1 4
1 0 3
10 6
4 2 3
0 4 2
3 0 0
3 2 2
1 1 4
2 2 3
3 3 4
3 2 0
0 0 0
0 4 0
10 2
0 1 0
4 3 0
1 1 3
3 1 1
2 4 1
3 0 1
3 4 0
2 2 2
2 1 3
0 0 0
10 5
2 2 2
1 0 0
2 1 1
0 1 1
0 0 0
1 1 0
1 2 2
2 0 0
1 1 1
2 0 2
10 3
0 2 1
1 2 2
0 0 1
0 2 0
1 0 2
1 0 1
2 0 0
2 0 1
1 0 0
1 1 1
10 9
4 2 4
4 0 2
1 2 4
1 3 3
1 0 1
2 2 0
1 1 3
4 4 1
4 2 1
0 1 0
10 9
3 3 2
2 2 2
3 2 1
3 0 0
0 1 3
3 0 1
1 0 1
2 1 0
3 1 0
0 3 2
10 5
1 3 3
3 2 2
5 3 5
0 0 1
4 2 4
2 2 3
2 2 5
1 5 3
5 4 5
3 0 5
10 3
3 4 3
5 4 0
3 0 5
3 3 4
0 1 3
1 5 0
2 5 0
3 5 3
5 0 3
3 3 3
10 7
1 3 3
0 3 2
0 2 3
0 1 0
3 1 3
2 0 1
0 1 1
1 2 1
2 2 2
2 2 1
10 5
4 4 4
5 3 5
5 4 1
2 4 3
3 3 1
2 2 3
5 4 4
2 0 5
4 0 3
2 1 3
10 5
3 1 1
3 1 3
0 2 0
0 0 4
4 2 1
1 3 1
3 4 1
1 1 1
1 1 4
4 1 3
10 8
4 0 2
1 1 3
1 0 3
3 3 1
0 1 4
2 2 2
2 4 0
0 0 3
4 2 1
4 1 3
10 3
2 1 4
4 4 0
0 3 0
4 3 3
0 0 5
3 1 2
2 0 5
1 0 2
1 3 1
0 3 2
10 3
3 3 4
1 2 2
3 2 2
3 0 3
0 4 4
0 3 3
2 2 4
0 0 1
1 2 1
2 0 4
10 7
3 1 3
3 2 3
0 3 2
2 2 2
0 0 2
2 2 0
3 3 1
2 0 1
0 3 0
3 3 3
10 8
2 4 4
0 1 2
4 4 1
3 4 0
1 3 3
3 4 5
3 4 2
2 3 2
2 3 0
0 1 5
10 3
0 0 3
1 3 0
1 2 2
3 3 0
3 2 0
1 0 3
2 2 1
1 0 2
0 3 2
1 1 1
10 2
0 2 0
3 5 1
1 2 2
0 2 4
4 3 2
3 5 5
3 1 0
3 1 3
4 2 4
5 0 1
10 2
4 2 1
0 3 2
4 3 0
3 2 0
0 4 5
3 4 1
4 0 2
2 3 3
2 3 5
3 0 3
10 5
2 1 1
0 2 1
0 1 2
1 2 1
1 0 0
3 2 2
0 3 1
2 0 1
3 0 1
3 2 0
10 8
1 3 0
0 3 2
3 2 1
0 3 3
2 3 2
1 3 2
2 1 3
1 0 1
0 0 1
1 1 1
10 9
2 1 0
0 2 1
1 3 2
1 3 1
0 2 3
0 1 3
1 1 2
3 2 0
1 3 0
1 0 2
10 8
0 2 2
1 1 2
0 0 2
0 2 0
0 0 0
2 2 2
2 1 0
1 2 2
2 1 2
2 2 0
10 4
2 0 3
2 1 2
2 0 4
0 0 3
0 2 1
2 2 3
3 3 2
3 2 2
3 1 4
0 3 0
10 7
1 0 1
0 2 2
2 1 2
2 1 1
1 2 1
0 2 1
0 0 2
0 0 1
2 2 2
1 2 2
10 4
2 1 3
0 2 3
3 3 3
0 0 2
3 2 0
1 1 1
0 2 1
0 1 0
2 0 2
3 3 2
10 4
2 1 2
2 3 4
4 0 0
4 0 1
4 2 4
3 1 1
0 3 0
4 1 4
2 0 2
1 2 0
10 9
2 0 3
0 0 2
3 3 1
0 3 1
2 2 1
1 1 0
1 0 3
2 2 2
2 1 2
1 3 0
10 4
2 2 2
0 1 2
0 0 1
1 0 2
2 2 1
1 1 2
2 1 1
0 2 2
2 0 2
0 2 0
10 3
0 0 0
2 1 1
1 2 0
0 2 2
2 1 2
0 0 1
1 0 1
2 0 0
1 2 1
0 1 1
10 8
1 1 3
0 0 3
1 2 3
1 0 0
0 0 1
2 1 2
2 0 1
1 0 2
2 2 3
1 2 1
10 8
2 1 1
1 2 1
0 2 1
1 2 0
1 0 0
0 0 2
0 2 0
0 1 0
1 1 2
1 0 2
10 9
3 3 4
4 3 0
1 1 4
0 0 0
0 4 2
2 3 0
3 2 1
1 1 0
2 2 4
1 3 4
10 4
1 3 2
0 1 0
1 3 3
1 3 0
2 3 3
0 3 0
2 2 1
0 3 3
1 0 3
3 1 0
10 6
0 0 3
3 1 0
2 3 1
3 0 1
1 3 0
3 3 0
3 3 3
3 1 2
3 2 2
3 2 0
10 4
1 1 2
2 4 1
3 3 0
3 0 2
4 3 3
3 0 3
1 0 2
3 1 2
2 1 3
1 4 2
10 8
2 2 2
1 1 0
0 1 1
2 3 1
0 0 3
0 3 3
2 3 2
1 0 2
0 2 1
0 2 0
10 7
0 0 2
1 1 0
0 0 1
1 2 0
1 2 1
1 0 1
2 0 0
0 0 0
1 2 2
2 1 1
10 2
3 3 1
2 3 3
1 0 3
3 3 3
0 2 1
0 0 0
0 1 0
1 3 0
0 3 0
2 3 2
10 7
1 0 1
3 2 3
0 3 2
2 3 4
4 0 4
2 3 0
4 1 1
0 3 0
0 1 3
0 2 3
10 6
0 0 2
2 1 2
1 0 2
2 2 1
0 2 1
0 2 0
1 1 2
1 0 0
1 1 1
0 1 0
10 4
2 2 2
4 1 1
3 1 3
5 5 4
0 2 3
2 4 4
1 2 4
4 4 3
5 5 2
5 3 1
10 4
4 1 1
3 5 2
2 0 5
4 1 4
1 2 4
3 1 5
0 1 3
3 0 0
5 4 3
1 1 0
10 2
2 1 2
1 0 2
0 2 2
0 2 0
1 0 1
1 2 0
2 2 2
2 2 0
2 0 2
1 2 2
10 7
0 0 1
1 2 0
2 1 0
1 1 0
2 0 0
2 2 0
0 1 1
2 1 2
2 2 1
0 1 2
10 3
2 0 1
3 1 3
1 4 1
4 1 2
3 3 0
1 2 2
4 4 0
1 3 3
2 1 4
4 0 0
10 2
4 0 2
3 0 4
3 1 0
2 0 0
0 1 1
3 2 3
4 2 4
3 0 1
0 2 3
0 4 1
10 7
2 0 1
0 1 0
1 1 0
2 1 2
0 2 0
1 2 1
1 0 1
2 2 1
2 2 0
0 0 2
10 8
4 1 5
3 1 3
4 3 4
4 0 4
2 0 0
3 3 2
5 1 5
4 5 1
1 3 2
5 1 0
10 7
4 2 4
1 0 0
3 3 2
1 1 2
0 4 1
2 0 4
3 2 1
0 4 3
0 3 1
3 2 0
10 3
1 2 1
0 1 0
0 2 1
1 1 0
0 1 1
2 2 2
2 0 2
1 1 2
2 1 0
1 2 2
10 5
5 3 3
3 2 5
4 0 2
3 3 1
3 0 0
3 0 3
1 0 4
0 0 2
4 4 5
1 1 0
10 7
3 0 1
2 0 1
1 3 1
0 2 0
2 3 0
1 2 1
1 3 3
2 2 3
2 3 1
1 3 0
10 8
4 4 1
2 1 3
4 0 0
0 4 3
3 3 2
1 2 4
2 3 3
1 1 4
2 0 4
1 0 0
10 9
2 2 0
1 2 0
0 1 1
2 0 1
2 1 0
2 2 2
2 1 2
2 0 0
1 2 2
1 0 0
10 4
5 5 5
1 2 1
2 2 1
4 1 2
1 2 0
1 5 5
2 2 5
5 1 5
4 5 0
5 0 0
10 2
0 2 3
2 2 1
2 1 2
1 4 3
1 4 4
3 2 3
2 4 1
4 0 1
3 3 0
0 3 3
10 3
1 4 4
1 1 3
0 3 4
0 3 1
2 1 2
3 2 3
0 4 4
0 2 3
3 4 3
4 4 0
10 7
1 3 3
2 5 3
2 0 3
3 1 5
1 0 2
2 3 0
1 3 1
0 1 4
3 4 5
1 5 3
10 2
0 0 2
2 0 0
4 3 2
2 1 1
4 1 0
2 2 0
1 4 3
0 2 0
2 4 3
3 4 2
10 5
0 2 0
1 2 0
0 0 1
1 1 1
0 0 2
1 0 2
1 1 2
2 1 1
0 1 0
1 2 2
10 5
0 2 0
1 2 0
2 1 2
2 2 2
1 0 1
1 1 1
0 1 0
2 2 0
1 1 2
2 0 2
10 7
2 1 2
2 2 0
2 0 1
1 0 2
0 1 1
1 0 0
1 1 1
0 2 0
1 0 1
0 2 2
10 2
0 2 2
0 1 0
2 2 0
2 1 1
2 0 2
1 2 0
2 2 1
1 0 0
0 2 1
2 0 1
10 5
1 0 0
2 0 0
0 0 2
0 1 0
1 0 1
0 1 1
2 2 1
1 0 2
2 1 0
1 1 1
10 6
4 2 0
3 0 0
3 0 5
4 3 2
2 3 3
4 2 1
1 3 1
3 1 0
5 1 3
2 1 5
10 4
1 1 0
3 1 3
2 4 3
3 0 2
0 2 2
2 1 3
3 0 4
3 0 3
3 2 3
2 3 3
10 5
1 4 5
2 3 0
3 1 1
1 3 0
5 3 1
5 0 5
2 1 4
5 4 2
1 0 0
1 1 3
10 3
2 0 2
2 1 2
0 2 0
2 1 1
2 2 2
1 2 1
0 1 0
1 0 0
2 0 1
1 0 2
10 8
3 2 1
1 1 2
1 1 3
3 3 2
0 1 3
0 3 3
2 2 0
2 1 3
0 3 2
2 0 0
10 3
4 5 1
4 4 4
4 3 1
4 1 2
5 1 2
0 1 0
1 4 3
0 4 3
0 3 2
3 2 3
10 5
2 2 0
3 2 1
3 2 0
3 0 2
3 3 2
3 1 3
2 3 2
0 1 0
0 2 0
3 1 0
10 7
0 3 3
3 3 1
1 2 3
2 1 1
0 0 2
3 0 1
1 0 1
3 0 3
3 2 2
2 0 2
10 4
0 0 1
0 0 0
1 3 0
1 1 2
0 1 3
2 2 2
1 0 1
0 3 1
0 2 3
3 2 1
10 7
3 1 1
0 3 0
2 4 0
4 1 1
0 3 4
0 0 4
0 4 0
0 1 2
2 3 1
1 4 3
10 5
2 3 3
2 0 2
1 2 1
0 3 1
0 0 3
0 0 1
0 1 3
2 2 2
1 2 3
3 1 2
10 8
2 0 1
2 1 2
1 0 2
0 4 3
5 5 4
0 0 4
1 5 5
5 2 2
4 4 2
1 1 0
10 2
1 0 1
0 1 2
1 2 1
2 0 0
2 2 2
1 1 0
1 0 0
1 1 1
0 1 0
1 0 2
10 7
3 5 1
4 4 5
3 5 4
0 5 1
3 4 4
1 2 5
3 1 5
3 0 0
1 5 3
0 1 4
10 4
4 4 1
5 1 4
1 1 0
0 2 4
1 1 1
2 3 4
5 2 1
0 1 5
5 5 5
4 0 5
10 7
5 1 5
4 0 4
2 2 4
2 0 2
0 2 5
1 5 4
3 2 4
1 1 3
0 2 2
2 3 1
10 8
1 0 2
0 2 2
1 1 1
2 0 1
0 2 1
0 0 1
2 1 1
2 1 2
1 0 1
2 2 1
10 5
2 3 0
3 3 0
3 2 3
3 0 1
0 2 0
0 3 3
0 1 1
2 0 1
0 2 2
2 3 3
10 7
5 1 4
4 2 5
0 0 0
0 4 2
0 5 0
0 4 0
2 3 5
5 2 1
1 5 5
0 3 3
10 7
0 2 5
4 2 4
0 0 2
3 0 1
1 0 5
5 0 0
2 0 2
3 2 2
0 1 2
3 3 0
10 3
0 0 3
2 0 4
1 0 0
1 4 3
4 1 2
4 1 3
4 0 3
4 4 3
0 3 2
3 1 3
10 5
3 0 2
2 0 0
4 0 4
1 4 2
3 1 3
3 3 2
2 0 3
1 3 0
0 1 1
2 2 4
10 9
4 2 3
3 4 0
4 0 4
4 1 4
3 4 3
4 1 0
4 1 1
1 1 3
4 3 4
4 2 0
10 9
2 2 1
0 2 0
2 0 0
2 1 0
1 2 1
0 0 0
0 0 2
2 1 1
1 2 2
2 0 2
10 7
0 1 0
2 1 2
0 0 1
1 2 0
1 0 1
1 0 0
2 0 0
0 0 2
2 0 2
2 2 1
10 4
1 1 0
2 1 2
2 0 2
1 2 0
0 2 1
0 1 2
2 2 2
1 1 1
1 0 0
1 2 2
10 2
4 0 4
0 1 2
2 2 3
1 0 4
1 4 4
4 4 1
1 4 2
2 5 0
0 5 1
4 2 0
10 6
2 2 1
3 1 0
1 1 2
3 2 2
2 0 0
0 2 1
0 3 0
3 0 0
3 3 0
2 3 3
10 6
2 1 0
2 1 1
0 0 1
0 2 0
1 1 1
1 0 1
2 0 1
1 0 2
2 0 0
0 0 2
10 7
1 1 1
0 2 1
2 0 0
0 0 0
2 2 2
1 2 0
2 0 2
1 3 2
0 3 3
3 0 2
10 3
2 4 2
4 2 1
2 0 4
2 4 1
4 1 1
1 0 2
2 0 3
4 2 3
0 2 2
2 1 1
10 3
2 1 1
1 0 1
2 0 2
2 2 2
2 1 2
1 1 2
1 0 0
1 2 2
1 1 0
0 1 0
10 6
0 2 2
2 0 1
0 2 0
1 2 1
1 2 2
1 1 2
1 0 1
0 1 0
2 0 0
1 1 0
10 5
4 4 3
0 3 3
1 0 1
2 0 2
4 0 2
0 4 4
0 0 4
2 3 1
1 1 2
2 0 3
10 7
2 2 2
2 2 0
0 0 0
3 1 2
0 3 1
0 0 3
1 3 0
3 1 1
0 0 1
0 1 2
10 9
3 4 3
4 3 1
4 3 3
0 4 2
2 3 2
0 4 3
1 1 3
1 2 4
4 0 3
2 2 3
10 6
3 3 4
1 5 1
0 3 5
5 2 3
5 5 5
1 3 0
4 1 2
3 1 3
3 0 3
0 3 0
10 2
0 0 2
0 3 1
2 5 5
0 4 0
2 3 2
2 5 3
3 2 4
1 2 1
0 0 0
2 5 0
10 4
2 2 2
4 2 3
4 2 1
4 0 0
0 0 0
2 0 1
4 3 2
2 0 4
1 4 1
4 0 4
10 4
2 5 3
3 0 0
3 4 0
0 2 3
4 3 3
2 1 3
2 1 4
3 5 3
3 4 2
4 5 4
10 7
3 2 0
1 1 2
3 3 1
0 2 1
0 3 3
1 2 2
2 3 0
2 0 0
0 3 1
1 0 1
10 8
3 3 0
0 2 0
4 4 1
4 3 3
3 3 2
0 1 0
2 1 4
4 1 3
1 4 2
1 0 2
10 4
2 1 2
0 1 2
0 2 1
1 0 1
1 2 0
2 0 0
2 1 0
0 2 0
1 2 2
1 1 2
10 4
3 1 3
0 4 1
1 4 0
0 0 4
1 0 1
2 1 0
0 0 1
0 4 4
4 2 0
3 2 0
10 8
1 0 2
0 0 2
2 0 1
1 2 1
2 0 2
1 1 0
0 2 0
0 0 0
0 1 0
1 0 0
10 8
1 1 1
0 1 2
1 2 0
0 0 1
0 2 2
2 1 2
1 2 1
2 2 0
1 0 2
1 0 1
10 7
1 5 5
2 1 4
2 4 1
5 4 5
0 1 0
5 2 0
0 1 2
0 3 3
5 1 4
2 5 5
10 5
3 0 4
4 3 0
4 0 4
3 0 0
1 2 5
3 1 4
1 3 1
2 0 3
0 4 2
0 3 0
10 2
4 0 5
3 4 5
1 4 5
0 4 5
2 1 2
1 2 4
0 1 1
4 2 4
0 1 2
1 2 5
10 4
0 4 4
0 4 0
4 4 2
0 5 2
0 0 0
3 3 2
5 0 3
5 4 0
4 0 1
1 0 2
10 2
4 5 3
1 1 3
3 0 2
3 5 1
1 0 3
2 1 2
4 5 1
0 5 5
3 1 3
5 5 5
10 8
0 0 0
0 2 1
1 1 0
1 2 0
0 1 0
2 2 1
0 0 2
0 0 1
1 2 2
0 2 0
10 8
1 3 0
0 2 4
2 2 4
2 3 1
1 2 3
4 1 0
3 0 2
3 2 0
2 1 0
3 2 1
10 9
2 2 1
1 1 2
0 0 0
2 0 0
1 0 0
0 0 1
2 0 2
0 2 0
0 1 0
2 2 2
10 4
2 2 1
1 2 1
2 2 0
0 2 1
3 1 1
0 0 3
2 2 2
1 1 0
0 2 2
3 3 2
10 3
1 0 0
2 1 2
2 0 1
2 2 0
1 2 1
2 1 0
0 1 2
1 1 0
0 0 2
0 2 1
10 7
2 3 1
1 0 2
3 2 1
1 1 3
2 3 3
0 0 2
0 0 3
1 3 1
1 0 0
1 2 3
10 3
0 1 5
0 2 4
1 3 0
2 4 5
5 3 2
2 5 1
4 2 0
4 1 1
3 5 4
5 5 0
10 8
0 1 1
1 2 1
1 0 1
0 2 1
0 0 0
1 1 0
0 1 2
0 2 0
0 0 2
1 2 2
10 9
0 0 1
0 0 0
1 2 0
2 2 0
2 0 2
1 0 0
0 1 1
1 1 2
0 1 2
2 2 1
10 2
2 3 3
2 0 3
2 2 2
3 0 2
3 2 0
1 3 1
2 1 1
1 2 3
0 3 2
3 2 2
10 7
0 0 0
0 1 1
0 0 1
1 2 1
2 1 2
0 1 2
1 1 2
1 2 0
0 0 2
0 2 2
10 8
1 2 2
0 1 3
1 1 0
3 2 2
1 3 3
2 3 3
1 1 2
3 1 1
0 3 0
2 2 1
10 9
4 4 2
1 4 0
0 0 1
0 5 4
3 3 5
2 3 3
0 0 3
4 2 3
5 2 4
3 0 3
10 4
3 1 3
0 1 0
0 1 3
1 1 3
1 1 0
1 3 3
0 1 2
3 2 2
1 2 3
0 0 3
10 4
3 1 2
0 0 2
2 2 3
1 1 0
2 2 0
0 2 2
0 0 3
1 3 0
2 0 0
2 3 3
10 6
3 0 3
3 5 0
2 3 4
0 1 0
1 2 2
5 4 0
2 1 3
0 0 1
2 4 3
1 2 3
10 4
2 1 1
4 2 1
4 4 1
0 3 3
4 0 0
0 3 1
2 3 1
0 2 3
0 3 2
0 1 1
10 3
4 1 2
0 3 0
2 4 4
0 1 4
1 0 2
1 3 4
3 1 4
4 1 3
3 2 3
0 1 0
10 8
0 3 2
1 1 2
2 1 0
0 2 3
0 0 3
1 0 3
2 2 3
2 3 3
0 3 0
3 3 3
10 5
2 5 3
5 1 2
0 5 5
3 2 1
3 1 3
4 2 2
0 1 0
4 4 0
2 3 4
1 5 3
10 6
4 5 3
0 3 2
4 4 0
5 3 1
5 2 0
0 4 5
5 2 3
0 1 2
4 4 2
5 0 0
10 4
0 4 1
2 0 4
1 2 3
1 1 4
0 3 1
4 1 2
1 0 2
2 2 4
2 0 0
2 0 3
10 9
3 0 1
0 2 3
3 0 3
0 0 2
0 0 1
0 2 2
2 3 2
2 0 0
0 3 0
1 3 1
10 2
2 0 1
1 0 1
0 0 0
0 2 0
2 1 1
0 1 2
2 0 2
0 2 2
0 0 1
1 1 2
10 4
2 2 2
1 0 2
3 4 0
1 0 0
2 0 4
0 2 4
3 0 2
4 2 1
0 4 1
2 0 3
10 5
2 2 2
1 1 1
2 2 1
2 1 2
0 1 0
2 1 1
0 2 0
1 2 2
0 0 1
0 0 2
10 9
1 0 2
2 1 0
2 1 1
0 2 0
0 2 2
0 0 1
0 0 0
2 0 1
1 2 1
1 1 1
10 6
5 0 4
0 5 4
0 4 2
4 2 3
4 0 3
3 5 2
0 2 1
3 2 2
2 4 2
1 4 2
10 9
1 0 0
1 2 1
1 2 2
0 0 0
2 1 1
1 0 2
1 0 1
2 0 2
0 0 2
0 1 2
10 6
1 2 1
1 0 2
0 0 0
2 0 2
2 1 1
1 2 2
0 2 2
1 2 0
2 2 0
2 1 2
10 2
0 0 2
2 1 1
1 1 2
1 2 0
0 0 1
2 0 1
0 2 1
0 0 0
2 0 0
2 2 0
10 4
4 1 2
0 2 2
1 2 3
4 4 1
0 4 0
0 0 0
4 1 4
2 0 3
3 1 2
2 3 2
10 7
1 2 2
1 1 1
0 3 4
5 1 4
1 4 1
0 5 1
4 2 2
3 4 2
0 0 1
4 4 5
10 8
4 3 4
3 5 5
2 2 2
0 2 3
4 4 4
3 2 0
3 4 2
4 1 1
0 4 3
1 4 4
10 7
0 2 3
3 1 3
0 1 3
0 3 3
1 3 2
0 2 2
0 0 1
3 0 2
1 0 0
3 2 1
10 9
2 1 1
0 3 1
1 3 2
3 3 2
2 1 2
3 0 0
1 1 0
1 3 0
0 2 3
1 1 1
10 2
3 2 2
0 1 1
0 0 2
1 3 1
0 3 2
1 2 2
1 1 2
3 0 2
1 0 3
3 3 1
10 6
0 2 2
5 5 4
5 0 0
0 0 1
1 3 0
5 1 2
1 2 2
3 3 1
1 4 3
4 4 0
10 3
2 1 2
2 0 4
3 3 3
4 0 2
1 3 0
4 3 0
1 4 2
3 1 2
1 2 2
1 1 1
10 6
1 0 2
2 2 2
0 1 2
1 2 0
2 0 2
0 1 1
0 1 0
2 0 1
1 2 2
2 2 0
10 2
1 0 0
2 2 4
4 0 3
2 4 4
0 2 0
4 4 0
3 1 1
4 2 0
4 2 1
2 0 4
10 8
2 1 0
1 1 0
2 0 0
0 0 2
2 2 1
2 1 2
1 0 0
2 0 1
2 2 0
1 2 2
10 7
4 0 2
2 5 3
5 5 5
1 1 4
1 4 2
0 2 2
4 5 0
3 0 5
4 1 4
1 0 2
10 6
2 4 2
0 1 5
3 1 0
3 1 4
0 4 5
2 4 4
3 3 4
4 1 5
1 1 4
1 4 5
10 9
1 2 2
1 1 2
2 0 0
1 1 1
1 0 2
2 0 1
0 0 0
2 1 0
1 2 1
2 2 2
10 5
2 2 0
0 1 1
0 1 2
0 2 1
0 2 2
1 0 2
1 1 1
1 2 0
0 2 0
0 0 2
10 2
2 0 0
1 0 0
1 2 1
2 0 2
2 1 0
0 0 0
0 0 2
2 2 1
1 2 0
2 1 1
10 8
2 2 2
2 0 2
2 2 0
1 2 0
2 0 0
2 2 1
0 0 1
0 1 0
0 1 2
0 1 1
10 5
2 0 1
1 2 4
2 0 4
2 1 4
4 0 0
0 4 4
4 2 3
1 3 1
3 4 4
3 1 0
10 3
2 1 5
4 0 4
1 2 2
5 2 5
3 5 3
2 2 1
1 3 4
3 1 1
5 1 2
0 0 4
10 5
0 0 2
1 2 0
1 2 2
2 2 0
0 0 1
2 0 2
0 1 2
2 1 2
1 2 1
1 0 2
10 7
4 0 4
3 0 4
1 5 0
2 3 2
4 4 1
0 2 3
1 4 3
3 5 0
4 2 5
5 3 0
10 6
3 0 3
3 3 3
2 4 4
1 2 0
0 5 2
0 1 4
1 0 4
3 1 5
0 2 3
1 4 3
10 9
4 4 4
3 4 1
2 2 2
1 5 4
4 4 2
3 2 4
1 2 0
5 4 0
2 4 3
4 4 1
10 9
2 0 1
0 0 0
2 2 1
2 1 2
2 2 0
0 2 1
1 2 0
1 2 1
1 0 2
2 2 2
10 3
5 4 3
0 1 0
0 4 5
3 5 0
5 0 1
2 2 2
1 5 4
3 2 2
1 2 3
1 5 3
10 8
2 0 0
2 2 2
1 0 1
1 2 1
2 1 0
0 2 2
0 0 2
0 1 1
2 2 0
0 2 0
10 9
5 0 3
3 4 3
1 1 2
5 5 3
2 3 3
3 1 1
0 4 2
3 2 5
4 5 5
1 5 3
10 8
1 4 3
1 2 2
3 5 0
0 4 1
3 0 0
1 5 2
3 4 1
1 1 3
0 2 1
2 5 0
10 9
4 0 4
2 1 1
1 1 2
0 1 4
3 1 2
1 3 0
1 0 0
1 4 0
1 2 2
2 2 0
10 5
0 4 2
1 3 2
4 2 2
3 3 0
1 0 0
1 3 0
0 3 1
2 1 4
2 1 3
3 0 1
10 3
0 0 0
1 1 3
0 1 3
3 2 1
2 2 3
0 2 0
0 3 1
3 0 2
1 1 1
1 0 1
10 3
2 1 1
2 0 2
0 0 2
2 0 1
0 1 1
0 0 1
1 2 2
1 0 0
2 0 0
2 1 2
10 7
0 1 2
1 2 2
0 1 0
1 0 1
1 1 0
1 2 1
1 0 2
2 1 2
1 1 2
2 0 0
10 7
1 2 0
0 0 0
0 2 1
2 0 2
2 1 0
0 1 1
0 2 2
2 1 1
1 2 1
0 2 0
10 6
4 3 1
4 4 2
5 4 1
5 5 1
3 2 1
0 0 5
3 0 3
5 4 4
4 4 1
4 4 3
10 9
2 0 4
1 2 4
3 1 0
3 3 3
1 2 1
1 3 3
4 1 3
0 4 1
2 3 1
1 4 1
10 4
4 4 0
1 2 2
3 2 0
3 4 3
2 0 3
3 3 5
1 4 1
0 0 3
2 2 2
5 1 3
10 5
1 3 3
2 1 4
2 2 2
1 1 4
4 3 0
5 1 3
1 5 2
0 0 4
5 5 2
5 0 2
10 2
1 2 3
4 0 3
3 4 4
4 2 2
3 3 0
2 3 4
0 2 1
1 3 1
0 1 1
4 3 4
10 4
3 3 0
2 3 2
3 2 0
2 1 1
3 2 1
0 0 1
1 0 1
0 2 2
2 2 0
1 1 3
10 7
1 3 2
0 0 3
0 1 2
0 1 3
2 1 1
2 3 1
3 0 3
0 0 1
0 1 0
0 3 1
10 4
1 3 0
1 2 4
2 1 2
0 0 2
4 3 0
0 4 4
3 0 1
4 2 3
0 2 3
2 2 3
10 7
1 1 1
1 2 3
0 3 1
3 3 2
0 0 1
3 0 3
2 0 1
2 3 1
1 3 2
2 3 2
10 4
3 5 5
2 4 5
5 4 0
0 5 1
1 3 5
2 4 1
4 1 5
3 3 2
2 2 3
2 3 3
10 4
4 0 5
3 1 0
5 2 3
4 4 1
3 3 0
1 4 4
2 0 3
2 0 4
4 0 4
2 2 3
10 6
2 3 3
1 2 1
2 0 1
2 1 1
2 1 0
2 2 2
1 3 2
3 1 0
3 0 2
0 1 1
10 9
3 3 1
1 0 0
3 1 2
2 0 0
1 2 3
3 2 3
2 2 1
3 2 0
2 3 0
2 1 3
10 6
3 2 3
1 4 0
0 3 3
4 1 3
0 1 4
2 1 4
0 2 3
0 4 1
2 3 0
2 2 2
10 3
2 1 0
2 2 2
1 2 1
1 1 0
0 0 1
0 2 0
0 0 0
1 0 1
1 1 1
2 0 2
10 7
0 1 0
4 3 4
3 1 0
3 0 0
0 3 4
0 1 3
2 1 1
4 0 4
2 4 1
3 3 4
10 6
1 4 0
4 1 3
3 2 1
1 4 1
1 4 4
3 4 0
1 2 4
0 4 1
4 0 3
4 0 4
10 6
5 1 3
0 2 4
0 2 1
5 5 5
5 3 3
1 4 3
1 2 0
5 4 2
0 3 0
2 3 0
10 5
3 3 0
0 2 0
3 1 0
3 1 1
3 4 2
2 3 0
0 3 0
1 1 2
4 4 4
4 0 2
10 5
4 1 3
0 3 4
1 0 2
3 0 1
0 0 1
2 1 4
2 4 4
0 2 2
1 3 3
2 0 1
10 8
0 1 0
1 2 1
2 1 0
0 1 1
1 0 0
0 0 0
0 1 2
2 1 2
2 2 2
0 0 2
10 3
3 1 4
3 3 2
2 2 4
1 3 3
2 3 4
2 3 3
1 3 4
1 2 2
4 3 0
1 1 0
10 9
0 2 1
2 2 0
2 0 2
2 0 0
1 1 2
2 2 2
0 1 0
0 1 2
1 1 0
2 0 1
10 5
0 2 0
3 0 1
4 1 2
3 4 2
0 1 1
4 1 3
4 0 2
3 3 2
0 4 2
4 2 2
10 3
0 1 2
4 2 3
4 4 2
4 1 3
0 0 2
1 4 0
1 3 2
2 2 4
4 2 2
3 1 4
10 2
0 2 1
3 0 4
1 1 3
0 0 2
1 4 0
1 1 4
4 0 2
0 0 1
1 3 0
0 3 4
10 7
3 0 1
0 1 3
1 1 3
0 2 0
0 1 2
3 0 0
1 2 0
0 2 1
1 2 2
2 3 1
10 6
2 0 0
2 2 1
1 1 0
1 2 0
0 0 1
2 1 1
2 2 0
1 2 1
0 1 0
0 2 1
10 9
0 1 1
1 0 2
2 1 2
1 2 2
2 1 1
2 1 0
2 2 1
1 2 1
0 0 0
0 2 2
10 6
5 3 3
4 5 4
0 3 1
4 3 1
2 3 5
1 4 5
4 1 3
2 5 1
5 5 5
1 0 3
10 8
2 2 3
2 0 0
3 3 3
3 1 0
3 3 2
1 1 0
0 3 1
2 2 0
1 2 0
1 3 2
10 3
4 4 4
4 1 0
2 2 3
0 3 2
4 4 5
3 5 4
5 5 2
4 5 3
1 1 1
4 2 4
10 8
0 4 1
3 3 0
1 3 1
3 0 1
1 3 5
2 0 2
0 0 2
0 4 5
5 3 4
1 3 0
10 7
1 3 4
1 1 0
0 4 2
2 0 0
1 3 2
0 2 0
0 0 0
2 2 4
3 1 1
2 4 1
10 6
2 1 1
0 2 1
0 1 0
1 0 0
1 1 2
1 2 1
1 0 2
2 0 1
2 2 2
0 1 2
10 9
4 5 5
2 1 2
4 0 4
5 0 3
2 5 4
1 4 5
4 1 3
3 5 5
1 3 4
3 2 4
10 9
1 1 5
3 4 2
2 2 5
4 3 3
0 1 4
1 3 1
5 1 1
1 0 1
2 5 2
4 0 2
10 5
0 2 0
1 1 0
2 2 0
2 0 0
1 2 1
1 0 0
2 2 1
1 1 2
1 2 0
0 1 2
10 4
1 2 2
2 2 4
4 4 2
4 4 1
3 3 3
2 4 3
3 1 0
0 0 1
1 1 2
4 1 2
10 6
1 2 2
0 1 1
1 3 1
2 3 2
2 3 3
3 3 1
3 3 2
1 3 0
3 1 0
0 2 2
10 3
4 1 4
3 0 0
0 4 1
1 4 2
2 0 4
4 0 4
2 3 2
2 0 2
0 3 0
3 1 3
10 6
1 0 0
1 2 0
1 1 1
2 2 1
2 2 0
2 0 0
0 0 2
0 1 2
0 2 0
0 1 1
10 4
0 1 3
2 4 0
1 2 1
1 3 3
0 2 2
0 3 0
1 2 3
0 0 0
1 1 3
0 4 3
10 3
0 0 0
1 0 1
1 0 2
0 1 0
0 1 2
0 2 1
0 0 1
2 2 1
2 1 1
2 2 0
10 6
3 1 3
0 3 1
3 0 2
1 2 3
3 0 0
0 1 2
3 0 1
3 3 2
3 3 0
2 0 3
10 2
1 0 2
0 1 1
3 0 0
1 2 0
0 0 2
1 3 1
2 1 1
1 3 3
2 2 1
3 0 1
10 7
2 1 4
4 5 2
4 0 4
3 1 4
4 1 4
4 4 1
3 5 3
0 4 2
4 2 0
3 1 2
10 8
2 3 4
0 2 3
1 3 3
4 1 3
2 4 1
2 3 2
1 2 2
0 4 2
4 0 1
2 1 1
10 4
5 3 2
1 4 3
5 5 1
4 0 1
4 2 2
1 0 4
2 2 3
2 5 5
0 2 2
2 5 2
10 9
0 2 0
0 2 2
2 2 2
1 1 2
2 2 0
0 2 1
1 0 0
0 1 2
1 0 1
2 0 0
10 7
2 0 2
3 2 0
0 2 1
2 1 3
0 2 2
0 3 3
1 0 2
0 1 1
0 2 0
3 0 3
10 5
1 3 3
2 3 4
4 4 1
1 1 1
1 3 4
0 2 1
4 3 0
0 0 0
2 2 4
3 4 2
10 2
1 3 1
5 1 0
1 2 2
4 1 3
3 3 5
0 5 3
2 3 2
4 3 3
1 5 5
5 5 4
10 7
4 1 1
5 2 3
2 5 4
1 4 1
2 0 5
1 1 3
3 3 1
3 0 0
5 4 5
1 5 3
10 5
1 0 2
2 1 0
2 1 2
2 0 2
0 1 2
0 3 3
0 3 1
3 2 3
3 2 1
0 0 0
10 3
0 3 3
0 0 3
2 3 0
1 3 3
3 0 2
1 2 0
1 3 2
0 1 1
1 1 2
2 3 1
10 7
1 3 5
4 4 4
4 1 4
2 4 3
1 0 2
0 3 0
4 2 0
3 5 0
3 4 1
3 3 5
10 6
3 5 2
2 4 2
4 1 4
2 0 2
4 5 2
5 0 3
4 0 3
0 1 0
5 3 1
4 0 0
10 2
3 2 1
4 1 1
3 3 2
1 4 4
2 3 1
4 4 4
2 4 2
3 4 4
3 4 2
3 1 3
10 2
3 1 2
0 1 3
0 3 2
1 3 1
0 0 1
3 2 1
3 0 1
1 1 2
1 2 0
2 0 0
10 4
5 3 2
4 5 0
1 5 4
1 5 3
1 4 1
4 1 2
3 3 5
0 5 3
3 4 5
3 2 0
10 7
1 2 0
2 0 2
0 1 2
1 1 2
1 0 0
1 2 1
0 0 1
1 2 2
2 2 1
1 1 1
10 7
2 0 2
0 1 0
1 1 2
1 0 2
0 2 2
0 0 1
1 1 1
0 0 0
0 1 1
0 0 2
10 5
3 2 1
4 0 4
3 3 4
0 1 2
0 0 2
4 4 3
0 2 2
4 1 3
4 2 4
2 0 3
10 4
1 0 1
1 0 0
0 1 3
2 0 3
1 2 3
3 0 1
1 1 2
2 1 2
1 0 2
2 1 1
10 8
3 3 1
2 3 0
3 3 0
3 1 3
0 0 1
1 0 0
0 0 3
0 1 3
2 2 1
3 0 3
10 4
3 0 1
3 0 5
1 5 2
5 5 2
5 3 3
5 1 1
0 1 3
1 0 3
5 1 2
4 4 4
10 8
1 1 1
2 2 0
0 2 1
0 0 2
1 2 2
1 0 0
2 1 1
1 2 1
1 1 0
0 1 0
10 4
0 1 2
1 2 0
2 2 1
0 0 2
1 2 2
2 1 0
1 1 0
2 2 2
1 0 2
2 1 2
10 6
1 3 0
4 0 1
4 1 3
4 3 0
2 0 0
0 3 3
0 1 0
2 4 4
1 2 1
2 3 2
10 7
2 3 5
5 2 2
4 4 5
3 1 4
4 4 4
0 0 2
2 0 1
5 1 3
1 2 0
4 3 0
10 7
0 3 1
2 0 0
1 1 4
3 3 3
0 1 4
4 0 3
4 2 3
4 3 4
3 1 3
1 3 1
10 8
3 2 1
1 1 1
1 2 1
2 1 0
3 0 1
2 0 2
2 1 3
0 2 0
2 2 1
2 1 1
10 3
1 2 2
2 2 2
0 1 2
2 1 2
1 2 0
0 2 2
2 0 0
1 2 1
1 0 2
1 1 0
10 4
2 1 2
0 2 0
2 3 0
1 0 0
4 3 2
2 2 3
3 3 2
1 3 3
3 4 0
4 1 1
10 7
1 0 4
4 3 0
1 4 0
4 2 3
0 0 1
4 4 4
0 1 0
4 4 1
0 3 0
1 0 3
10 6
3 3 0
0 1 3
2 5 3
1 0 1
4 5 0
4 0 4
5 4 1
1 0 5
5 0 4
1 3 5
10 9
3 1 3
3 0 3
3 3 2
3 1 0
2 3 0
0 2 3
2 2 2
0 2 2
3 2 0
0 0 0
10 9
1 1 2
1 0 4
3 4 3
0 0 0
4 2 1
2 2 0
1 3 2
5 2 1
0 0 3
0 1 5
10 3
5 5 4
4 0 0
4 2 1
1 3 3
3 5 2
5 3 0
1 4 2
4 4 5
4 3 5
1 1 3
10 8
0 0 3
1 5 2
5 2 4
1 1 4
3 0 5
3 0 2
5 1 3
1 0 0
0 5 3
2 3 4
10 2
5 4 5
4 5 2
2 4 5
5 3 1
3 4 0
1 4 1
5 3 2
4 4 1
3 3 3
5 2 2
10 5
3 3 0
0 2 1
3 0 2
0 3 0
1 0 2
2 0 3
0 2 0
3 3 1
0 1 1
1 3 3
10 6
0 0 1
5 1 4
2 4 4
3 4 0
4 0 1
2 4 1
0 4 1
1 2 5
2 2 3
5 4 2
10 4
1 0 1
0 1 3
1 1 1
3 2 2
1 2 3
3 3 1
1 0 0
0 0 1
0 3 3
2 3 1
10 8
0 3 1
0 2 2
5 1 1
4 1 4
1 3 1
4 3 3
4 5 1
4 1 1
0 5 0
1 1 1
10 3
2 0 0
1 2 1
1 2 3
2 1 3
1 2 2
1 3 2
2 3 0
2 1 2
0 0 0
1 3 1
10 4
4 1 4
0 3 3
1 4 2
2 0 3
1 3 0
3 2 3
2 0 4
4 0 3
1 4 1
4 2 1
10 5
0 3 5
2 3 3
3 0 4
0 4 3
4 4 4
0 1 5
1 3 5
1 4 3
3 4 3
0 5 0
10 3
1 0 1
0 0 2
1 1 0
2 1 0
2 1 2
0 1 1
0 0 1
1 1 1
2 0 0
0 1 2
10 9
0 1 4
5 2 4
0 2 0
3 0 5
2 4 0
0 4 4
1 4 0
5 0 0
1 0 3
4 4 4
10 2
2 0 0
0 2 0
2 2 1
2 2 0
1 1 2
0 2 1
2 2 2
1 1 1
0 2 2
1 0 0
10 9
0 3 3
5 3 5
3 3 4
1 4 0
4 4 3
0 1 4
2 2 2
3 5 3
5 2 4
3 5 0
10 9
0 1 1
0 2 2
1 0 0
2 1 2
2 0 0
1 2 1
1 0 1
1 2 2
2 1 1
2 2 1
10 2
4 3 2
1 0 3
3 5 2
5 4 4
2 3 4
5 0 0
2 3 0
4 5 4
1 2 4
1 4 4
10 2
0 1 3
0 3 2
2 3 3
0 3 3
3 3 1
1 3 0
3 0 1
0 0 3
1 2 3
2 2 1
10 3
1 2 2
0 0 0
1 0 0
1 1 2
1 1 0
2 2 0
0 0 2
2 0 1
2 1 2
2 2 2
10 9
4 2 4
2 0 4
1 1 2
0 4 2
0 3 4
1 4 1
1 0 2
1 1 0
3 0 3
1 0 4
10 8
1 0 1
1 0 0
0 0 3
0 3 3
1 3 2
0 1 2
3 2 2
1 2 1
2 2 0
0 0 1
10 8
0 3 2
2 4 1
0 0 1
5 2 4
2 3 1
3 1 5
1 3 0
4 5 0
0 0 0
5 5 5
10 4
4 3 3
1 3 1
1 3 2
2 4 4
3 4 0
4 3 2
0 3 3
2 3 1
1 1 3
1 2 2
10 7
0 0 3
3 0 3
0 2 1
2 0 3
2 2 3
2 0 0
0 3 2
3 1 1
1 3 1
3 1 0
10 6
1 1 3
2 0 3
3 1 1
0 1 0
2 1 3
1 2 2
2 0 0
0 1 3
1 0 2
1 3 3
10 9
0 3 3
0 3 1
3 1 2
1 3 2
3 0 2
2 2 1
2 1 1
1 1 0
0 0 0
0 2 1
10 3
2 1 1
1 1 2
3 2 0
0 1 1
0 1 3
2 3 1
1 3 3
1 3 1
1 0 3
1 2 0
10 2
2 0 0
1 1 1
0 0 1
1 1 0
1 0 0
1 1 2
0 1 0
0 0 0
2 2 1
2 0 1
10 8
2 1 1
2 2 1
1 0 1
2 2 0
0 1 0
1 1 0
0 2 1
1 2 2
1 2 1
1 2 0
10 4
1 1 3
1 0 1
3 0 2
2 0 2
2 3 0
1 3 2
1 2 3
3 1 3
0 1 1
0 3 3
10 4
1 4 0
1 2 2
3 4 2
1 3 1
4 4 3
4 4 2
0 3 4
1 1 0
3 3 3
3 3 0
10 6
1 0 1
3 2 2
5 1 2
0 5 5
2 4 5
5 1 5
0 3 3
4 3 0
4 1 5
3 5 2
10 8
2 1 1
2 3 2
1 2 3
0 2 2
2 3 0
0 0 2
2 2 3
3 0 2
3 1 1
0 1 3
10 4
2 2 1
1 0 1
0 1 2
2 1 2
2 0 1
1 2 1
0 2 2
1 0 2
2 1 1
0 0 1
10 4
0 4 2
3 2 0
0 2 0
2 2 4
2 1 1
2 1 0
2 0 2
0 2 2
1 4 0
1 2 2
10 7
3 5 1
0 0 4
3 4 5
4 1 1
3 4 3
0 3 2
1 2 2
3 5 0
5 0 5
1 5 4
10 5
3 2 1
2 3 2
2 2 2
2 2 0
0 2 3
0 1 3
2 0 2
0 2 1
0 0 1
1 0 0
10 6
2 0 1
2 4 2
1 0 5
3 2 0
4 3 1
5 3 4
1 5 4
2 0 2
1 0 1
0 0 0
10 5
2 1 2
1 2 2
1 1 2
0 2 1
0 1 0
0 2 2
2 1 0
2 0 2
1 1 0
1 1 1
10 6
3 4 4
0 4 0
2 1 0
0 0 1
4 2 4
0 2 4
0 0 0
1 3 2
0 3 1
2 4 4
10 4
1 0 2
1 1 1
2 2 0
2 2 2
0 2 1
1 0 0
2 1 1
0 0 0
0 1 0
1 2 0
10 7
0 3 1
3 3 1
2 2 2
3 1 1
1 3 3
1 2 1
1 0 1
3 1 3
1 1 2
0 0 3
10 9
4 0 3
3 3 2
0 3 1
5 3 3
3 5 4
0 4 1
2 0 2
2 4 3
2 2 3
2 0 3
10 9
0 3 1
2 2 1
3 1 1
1 3 3
1 2 3
1 1 1
3 1 3
2 2 2
3 0 2
3 2 1
10 7
4 0 0
1 3 1
4 0 4
0 2 4
4 2 4
1 1 2
3 4 4
2 1 4
4 3 2
4 1 2
10 3
3 1 0
0 0 3
1 3 3
2 3 3
0 1 2
2 3 2
2 2 3
2 2 2
3 0 2
1 2 2
10 6
0 2 0
1 1 2
0 1 2
2 0 0
2 2 0
1 2 0
1 2 2
2 1 0
1 0 2
2 2 1
10 2
2 3 5
4 1 0
4 5 0
5 4 0
1 5 2
1 0 0
2 1 3
1 5 0
3 1 5
1 5 4
10 8
1 2 2
0 1 2
2 1 1
0 1 1
0 0 0
2 1 2
0 2 1
0 2 0
2 2 1
1 2 0
10 7
2 2 1
1 1 2
2 0 3
1 0 0
3 3 0
2 2 2
0 3 1
0 1 1
0 0 3
2 0 2
10 2
0 5 0
0 1 2
2 2 1
1 2 0
4 0 2
0 0 5
4 2 1
3 5 4
1 2 2
2 2 2
10 8
2 4 1
1 0 2
4 1 2
1 4 3
4 2 0
1 1 0
4 0 4
3 4 4
0 1 0
4 4 3
10 2
2 2 2
4 3 0
0 0 4
2 1 2
3 2 2
1 2 1
0 1 0
1 4 4
0 3 0
0 3 4
10 5
0 4 1
5 3 5
3 2 3
4 1 1
0 1 5
3 3 2
5 3 3
5 1 3
2 0 3
1 3 4
10 5
0 3 2
3 2 2
0 2 0
3 0 0
0 3 3
3 3 2
0 3 0
2 2 3
1 1 3
3 2 3
10 9
0 1 0
1 2 2
0 2 1
2 0 1
1 1 1
1 2 1
0 1 2
1 1 0
2 1 2
0 2 0
10 6
3 0 5
4 2 0
0 3 1
1 2 2
1 4 5
4 4 1
2 1 5
3 5 3
2 4 4
4 3 4
10 7
2 4 2
0 0 4
0 3 2
4 1 4
0 3 4
2 2 1
1 1 3
3 3 3
4 0 1
2 1 3
10 7
2 3 2
3 1 2
0 0 3
2 3 3
2 0 3
1 0 1
0 0 1
1 3 1
2 0 2
1 2 0
10 8
0 2 0
0 3 3
2 0 1
1 3 2
3 3 0
3 1 2
1 0 2
1 1 2
2 2 2
0 1 2
10 2
2 3 2
2 2 0
0 2 2
0 3 0
0 1 2
0 0 2
2 3 0
0 2 0
0 1 3
3 3 0
10 2
0 1 1
2 0 1
4 1 3
3 3 4
4 4 1
5 0 3
0 1 4
4 4 3
5 5 0
2 0 2
10 7
0 0 1
2 3 4
3 3 2
0 1 1
1 3 3
4 1 1
2 4 3
4 0 3
4 2 1
4 0 2
10 2
1 1 2
1 1 0
0 0 1
2 1 1
0 1 1
2 0 0
2 1 0
1 1 1
2 2 2
0 1 2
10 4
3 0 1
1 0 0
3 2 0
1 2 3
3 3 3
0 0 1
3 3 1
0 2 1
0 2 3
2 0 1
10 9
1 3 2
2 3 3
3 2 0
0 2 1
1 1 0
3 0 0
1 0 0
2 3 2
3 0 1
2 1 2
10 4
1 2 2
0 1 1
0 2 2
0 2 0
1 2 1
0 2 1
2 2 1
1 0 1
0 0 0
1 1 2
10 3
1 0 0
3 0 3
3 4 1
3 2 0
4 1 3
2 3 1
4 2 3
1 3 1
1 4 2
2 1 1
10 3
1 1 0
5 5 4
1 4 3
0 0 0
0 3 0
2 1 2
5 4 5
2 4 0
1 3 0
0 2 2
10 9
1 2 1
0 3 2
2 3 3
0 4 1
0 0 1
1 1 4
1 0 4
3 2 0
4 0 1
1 1 0
10 2
2 5 5
4 4 2
4 2 4
4 2 0
4 0 4
2 5 0
5 0 2
5 0 0
5 2 2
1 4 0
10 6
1 1 0
2 1 1
2 0 1
1 0 2
2 0 2
2 2 1
1 1 1
0 0 0
0 1 2
0 1 0
10 9
5 0 2
2 5 4
1 3 2
0 3 5
1 4 4
2 3 0
3 5 0
0 1 0
5 1 5
4 3 2
10 4
3 1 0
1 2 2
5 4 0
1 4 2
2 3 2
0 2 2
3 3 4
3 1 1
3 5 1
3 4 5
10 7
2 0 0
3 1 0
0 0 0
3 0 1
2 3 0
3 2 1
2 1 1
1 1 3
1 3 1
0 3 3
10 4
2 0 3
3 2 0
4 0 2
4 2 4
0 3 3
4 4 0
4 0 3
3 1 4
4 2 1
3 0 4
10 9
2 5 0
3 1 1
5 1 2
0 4 3
1 0 2
3 3 2
1 0 1
0 4 0
3 5 3
4 4 4
10 8
3 0 3
2 4 2
3 2 2
2 3 1
2 3 2
1 4 0
2 0 2
2 4 3
0 3 4
1 1 3
10 4
2 4 0
4 1 2
3 1 3
2 3 3
0 3 0
3 2 1
3 1 0
2 2 0
0 2 2
1 0 0
10 6
2 1 2
3 1 2
0 0 1
4 1 1
2 4 1
2 0 0
3 4 2
1 1 1
3 1 0
3 3 3
10 2
1 0 4
3 0 4
1 1 1
1 4 4
2 2 3
4 1 3
4 0 2
4 3 0
3 3 0
0 0 3
10 8
1 2 2
3 1 3
2 3 3
0 3 2
0 3 0
3 3 0
3 2 1
1 3 3
2 0 3
2 2 1
10 2
3 0 3
4 0 1
2 3 5
0 5 0
1 1 3
4 3 1
4 1 2
0 3 5
3 1 2
3 5 2
10 5
3 5 1
3 3 3
2 1 3
4 4 1
4 3 0
1 0 3
5 3 2
2 3 5
0 0 1
3 4 1
10 3
3 0 3
2 0 3
0 0 0
1 2 3
3 2 2
0 1 1
1 2 2
1 0 2
2 1 2
0 3 2
10 8
2 0 4
0 0 2
4 4 2
1 2 4
2 2 1
0 1 3
2 2 2
2 2 0
1 4 2
0 3 2
10 8
1 0 0
0 1 1
2 1 2
2 2 2
2 2 0
1 1 1
0 2 1
0 2 0
0 0 0
2 0 0
10 7
3 0 3
3 1 4
0 3 2
2 2 2
1 4 2
3 3 3
2 2 1
1 1 2
1 3 2
4 0 4
10 5
3 1 0
1 0 1
0 0 2
0 2 0
3 0 0
0 0 1
1 0 3
2 3 3
2 1 1
2 0 0
10 2
2 0 2
0 0 2
0 1 2
0 0 1
1 1 1
2 0 0
1 2 2
0 2 1
1 0 2
2 2 1
10 9
0 2 1
1 2 1
0 0 0
2 0 0
1 1 1
1 0 2
0 1 0
1 2 2
0 0 1
2 1 0
10 9
0 2 2
2 3 3
1 0 3
0 0 1
0 3 0
2 1 0
1 3 1
3 2 3
0 2 3
1 3 0
10 3
3 1 1
2 3 3
1 0 1
3 0 2
2 3 0
0 2 1
3 2 3
1 1 2
0 1 0
0 2 0
10 5
2 0 0
3 2 0
3 0 3
0 2 2
0 1 1
0 3 0
1 0 3
2 1 3
1 1 3
1 3 3
10 7
4 4 4
0 2 4
2 3 4
0 4 2
2 1 4
2 2 0
1 3 0
0 3 4
0 1 1
2 4 1
10 8
5 4 1
0 1 1
0 1 0
0 4 2
4 0 0
5 3 3
3 0 4
2 0 0
2 4 5
4 5 0
10 3
0 0 1
2 3 3
2 3 2
2 1 2
2 3 0
0 2 1
0 3 2
0 3 3
1 0 1
1 2 3
10 5
0 2 2
1 0 1
0 0 0
0 1 0
1 2 2
1 1 1
1 0 2
0 0 2
2 1 1
0 1 2
10 7
4 4 4
0 3 3
2 3 2
0 2 0
0 3 0
1 4 1
4 1 4
3 3 1
2 3 0
0 3 2
10 5
2 0 0
2 0 2
1 2 2
0 0 2
1 2 0
2 2 2
0 1 2
0 0 0
0 0 1
1 1 0
10 6
0 4 3
3 1 3
2 1 1
3 4 1
2 1 0
2 5 5
5 0 5
3 4 2
4 4 5
0 1 1
10 6
1 4 3
1 2 2
3 4 4
4 3 4
4 1 1
3 2 0
3 4 3
4 4 4
0 0 0
2 4 0
10 4
0 0 0
1 1 2
3 1 0
3 2 1
2 1 1
0 1 0
2 3 0
1 0 3
0 2 1
2 3 2
10 3
4 3 3
1 1 0
0 5 2
1 3 1
5 3 0
3 4 4
3 0 1
3 1 2
1 2 3
5 4 2
10 7
1 0 2
0 0 1
0 0 2
1 0 1
1 2 2
2 0 1
0 2 0
2 0 2
1 1 0
0 2 1
10 2
2 1 1
1 1 3
3 0 1
1 3 0
3 3 2
0 1 3
2 3 1
1 1 1
3 2 2
1 2 0
10 4
0 0 3
1 3 1
0 1 0
1 1 0
0 1 2
0 3 3
1 1 3
2 3 0
3 1 2
0 1 1
10 7
1 0 0
1 0 1
1 1 0
0 2 3
3 1 1
0 1 3
3 0 1
1 3 0
1 3 1
2 1 2
10 8
3 4 4
3 1 2
4 2 0
4 1 4
1 1 4
0 3 3
4 0 0
2 3 4
4 1 2
2 3 2
10 4
1 4 3
3 2 0
4 1 3
1 2 1
3 3 3
3 2 4
1 3 4
0 1 2
1 2 2
0 3 4
10 7
1 2 2
0 2 1
0 2 2
1 1 2
2 2 1
1 1 1
0 0 1
1 2 1
1 0 0
2 0 1
10 5
0 1 3
0 2 3
1 3 3
1 0 1
1 1 2
2 3 3
2 1 2
0 3 2
3 1 2
2 0 0
10 4
0 3 3
2 2 0
0 3 1
3 2 0
3 3 0
3 2 3
0 3 2
3 1 1
0 2 1
0 0 2
10 6
1 1 2
2 1 0
2 2 2
2 2 0
2 2 1
2 0 0
0 1 2
1 1 1
2 0 1
1 0 0
10 6
0 0 3
3 1 2
0 2 1
1 0 1
4 4 2
2 1 5
2 3 3
5 1 5
0 3 3
4 0 2
10 6
0 2 0
2 2 2
1 0 0
1 0 1
0 0 0
0 0 2
2 2 0
0 1 2
2 1 1
1 1 2
10 4
2 3 0
0 3 3
3 0 0
3 1 3
3 0 3
1 0 1
2 1 3
3 3 3
2 1 1
2 3 2
10 5
0 0 0
2 1 1
0 2 2
1 0 0
1 2 2
0 0 2
2 0 0
2 2 0
0 0 1
1 0 2
10 5
1 1 1
2 1 0
2 1 2
2 0 0
0 1 0
1 0 0
0 0 2
2 0 2
0 2 1
0 1 2
10 9
1 0 0
4 4 4
1 1 0
3 0 0
1 1 2
4 4 3
2 0 4
2 1 3
1 1 3
2 0 1
10 3
2 2 1
1 1 1
1 2 1
0 1 2
0 2 1
2 0 1
0 0 1
1 0 0
1 1 2
2 2 0
10 9
0 1 0
2 2 1
2 1 1
1 1 0
2 0 1
0 2 2
0 0 1
1 0 0
0 0 0
2 0 0
10 9
0 1 0
0 2 2
0 2 3
2 2 1
0 0 2
3 2 2
3 0 2
1 3 2
2 3 0
2 3 2
10 3
2 1 1
1 2 1
1 2 0
2 2 2
0 1 0
0 2 1
2 2 1
1 0 1
1 1 2
1 1 0
10 7
1 3 2
0 1 4
1 2 0
3 3 1
2 4 3
2 4 1
1 4 4
2 3 4
0 0 3
3 1 3
10 7
0 1 1
1 0 0
1 2 2
0 2 0
2 1 2
2 1 0
0 0 2
2 2 1
1 1 2
0 0 1
10 8
0 0 2
2 1 1
2 0 0
2 2 2
0 2 1
2 0 1
1 2 1
0 1 1
1 1 1
1 1 2
10 3
1 1 3
3 1 3
2 1 0
2 3 0
2 0 0
0 1 0
2 3 1
2 0 2
0 3 2
1 3 1
10 4
1 0 2
2 1 3
0 0 2
3 2 3
1 1 2
3 2 2
0 1 2
1 3 3
1 2 0
0 2 0
10 8
1 2 1
2 0 4
0 1 1
2 4 1
0 4 3
1 2 4
3 3 3
1 1 0
0 3 4
0 1 2
10 2
1 3 3
0 1 1
0 1 0
0 2 3
0 3 2
0 2 0
1 0 3
0 3 1
3 1 2
3 1 3
10 7
2 1 0
1 1 1
1 2 1
2 0 0
2 0 1
2 1 2
0 1 1
0 2 1
1 1 2
1 2 2
10 4
2 1 2
3 1 2
2 3 1
0 1 3
3 3 2
2 3 3
1 3 0
1 2 1
0 2 0
0 0 0
10 6
1 0 2
0 1 1
0 2 1
2 0 0
2 2 0
2 1 1
2 0 2
2 1 0
0 1 0
2 1 2
10 6
0 2 1
0 3 0
2 1 1
2 0 1
4 3 3
4 4 2
1 2 1
3 2 3
1 3 4
3 1 4
10 4
3 0 0
0 3 3
3 2 2
1 1 1
0 2 3
1 1 0
1 1 3
0 0 0
0 2 2
2 2 2
10 7
0 0 0
0 0 2
0 2 0
0 1 1
1 2 0
2 0 0
2 2 2
2 1 0
1 0 1
1 0 2
10 5
5 2 1
1 3 4
1 0 3
4 0 1
2 2 3
0 3 0
0 4 1
3 3 1
0 1 1
5 1 1
10 7
1 3 5
3 2 2
2 3 4
2 4 4
3 2 3
2 5 0
2 4 2
3 4 5
3 3 5
1 3 4
10 2
5 4 3
4 2 1
3 0 2
5 1 2
1 1 4
5 0 3
5 2 2
0 4 2
1 5 0
0 5 5
10 4
3 2 2
1 3 1
3 3 3
1 1 1
0 0 0
3 0 1
2 2 0
3 1 1
0 0 1
0 3 3
10 6
2 5 4
3 1 5
1 1 2
5 3 3
4 0 1
3 4 5
1 0 5
3 5 2
4 3 0
5 0 2
10 6
1 3 4
4 0 5
0 1 1
1 0 0
5 3 2
2 2 1
2 0 0
1 1 4
4 3 5
4 5 1
10 9
1 1 1
0 2 1
0 3 2
0 1 0
1 0 2
2 2 0
2 1 0
0 0 0
2 0 2
1 3 2
10 3
3 4 3
0 2 1
4 1 2
1 0 3
2 2 2
1 4 2
1 3 4
2 3 2
4 1 3
2 2 3
10 6
1 4 4
5 1 1
1 1 5
2 0 2
1 4 0
0 4 5
5 2 0
1 3 5
2 1 4
0 4 4
10 8
2 1 0
2 2 0
2 2 2
0 0 0
2 0 1
2 1 2
1 1 0
1 2 2
0 1 3
2 3 2
10 7
2 1 5
1 5 1
1 3 3
4 2 5
1 3 2
0 3 0
3 3 0
3 2 1
5 0 5
5 3 5
10 9
1 2 5
1 4 4
1 4 2
1 4 3
5 5 4
3 5 3
5 1 3
0 1 4
3 1 1
5 1 4
10 6
0 4 2
1 3 2
1 1 3
2 0 2
2 4 2
3 3 4
0 2 3
3 0 1
3 3 0
3 2 5
10 9
1 1 0
2 2 0
1 2 1
1 0 2
0 0 2
2 1 2
2 2 1
1 1 2
1 2 2
2 1 1
10 7
1 4 3
1 2 4
0 3 2
0 2 3
2 3 3
0 0 4
1 3 2
1 2 2
1 1 4
0 3 0
10 8
2 0 0
5 4 0
4 0 5
4 0 2
0 2 1
4 5 1
1 1 2
4 2 0
3 0 0
0 4 5
10 3
4 2 3
3 1 0
2 1 2
1 4 5
1 4 1
4 2 5
3 0 4
3 1 5
0 2 2
4 3 2
10 6
2 1 1
2 4 0
0 4 4
5 1 4
0 0 4
2 5 1
5 2 2
0 1 2
1 0 4
5 2 0
10 5
0 0 1
2 2 0
0 2 0
0 0 2
2 2 1
0 1 1
1 1 0
2 0 1
0 0 0
1 0 0
10 9
5 4 4
0 0 3
2 3 3
5 2 2
4 3 1
4 2 3
2 1 1
2 5 4
3 4 2
2 2 3
10 5
0 0 1
1 2 0
1 3 1
0 0 2
2 2 3
4 3 1
1 1 2
4 4 4
0 3 2
4 4 3
10 2
3 1 1
0 1 0
3 1 0
1 0 3
0 2 1
0 0 0
1 1 3
3 1 2
0 2 2
1 2 0
10 3
0 1 2
2 4 1
1 4 3
2 2 2
3 2 1
3 1 0
4 4 3
1 0 4
0 1 3
1 0 2
10 5
2 0 1
0 1 2
0 1 1
1 0 2
0 0 1
0 2 1
2 1 0
1 1 1
2 0 2
0 2 0
10 7
4 5 2
3 4 1
2 1 4
5 3 4
5 5 2
5 1 0
5 0 1
4 0 5
0 3 3
2 0 5
10 6
3 2 1
0 0 0
3 1 0
1 0 4
2 0 2
3 4 3
4 1 3
3 1 4
1 3 1
4 2 1
10 7
5 4 3
4 5 5
2 2 1
1 1 4
4 4 1
0 4 5
4 3 4
2 5 4
2 1 4
2 4 2
10 2
1 0 2
2 3 3
2 0 0
0 2 2
3 2 2
0 1 1
1 3 1
2 3 2
3 0 1
3 1 0
10 5
3 0 2
4 0 4
0 3 1
2 0 3
1 3 1
0 1 4
2 1 0
2 3 3
4 4 0
1 0 0
10 5
0 4 0
0 3 0
3 0 3
3 1 0
3 4 2
2 4 2
1 3 1
0 2 2
4 1 4
2 1 3
10 6
3 5 3
2 5 4
1 0 5
5 4 4
4 2 5
1 0 3
5 0 1
2 3 4
0 5 5
5 4 5
10 4
2 3 3
0 2 2
3 1 1
2 0 0
2 2 0
1 3 3
3 3 1
2 0 1
1 0 0
0 1 2
10 9
3 1 0
0 4 3
2 4 3
4 0 4
2 1 4
2 4 4
2 2 4
1 3 0
2 3 4
1 1 2
10 7
3 4 4
4 3 1
2 0 3
4 3 0
2 1 0
0 1 3
0 2 0
4 2 1
3 0 4
0 2 4
10 2
2 2 4
2 4 1
2 1 1
4 3 2
1 4 3
2 3 4
0 4 4
3 2 0
2 3 1
4 2 4
10 6
3 1 5
1 1 4
5 4 5
0 2 1
0 1 5
3 2 5
5 2 2
0 3 4
4 5 0
4 5 4
10 7
1 0 0
0 2 2
2 2 0
1 1 0
0 1 1
0 0 0
1 2 0
1 2 2
2 2 2
0 2 1
10 2
0 4 0
5 2 2
2 1 4
3 1 0
2 0 2
0 3 5
3 3 3
4 4 0
0 5 0
4 5 0
10 2
3 0 3
2 0 4
1 3 1
3 4 1
2 4 0
2 4 1
2 3 0
2 1 4
4 4 0
1 0 0
10 2
4 0 5
5 5 2
5 4 4
4 1 2
5 1 3
3 5 3
0 3 0
1 2 0
0 2 0
5 2 3
10 3
0 1 3
1 2 1
0 3 2
1 2 3
3 3 1
0 0 2
1 3 0
2 2 1
3 2 3
3 2 0
10 2
4 0 0
2 0 1
0 4 1
1 2 4
3 2 0
1 0 1
1 3 3
0 2 1
0 2 0
2 0 4
10 2
3 0 0
0 3 1
0 0 2
2 0 3
1 2 0
0 1 1
2 2 1
1 3 2
3 1 2
3 2 3
10 2
2 1 0
3 0 2
1 2 3
1 1 0
3 4 1
0 4 0
1 4 4
3 4 4
3 3 2
0 1 4
10 6
3 1 5
2 4 3
4 3 4
4 3 0
5 0 2
0 2 2
1 3 5
5 0 4
5 4 3
3 2 2
10 7
1 3 0
0 1 3
1 1 3
2 2 0
3 2 3
0 0 1
2 2 1
2 3 3
3 1 1
1 2 3
10 3
2 3 3
3 0 0
2 1 3
1 3 0
1 1 0
1 2 2
2 0 3
2 1 2
1 0 3
1 0 0
10 9
1 4 3
3 3 1
1 0 4
2 1 2
0 0 2
4 1 0
0 1 4
0 4 4
3 4 2
4 2 4
10 5
2 2 1
5 2 0
2 4 3
1 2 1
4 2 0
2 4 1
1 1 3
3 0 4
1 1 5
3 2 5
10 5
0 1 1
1 2 2
2 0 1
1 1 2
2 0 0
2 1 1
2 2 2
0 2 2
1 0 0
1 1 0
10 4
1 3 0
0 3 5
4 3 4
0 0 0
2 4 5
1 5 0
0 3 1
5 2 0
5 0 3
5 3 0
10 3
4 0 0
1 0 3
2 2 2
0 2 0
3 0 1
2 2 1
1 4 0
0 0 1
1 0 4
3 1 0
10 5
0 2 2
1 4 1
4 4 4
1 0 4
2 0 1
0 0 4
1 0 1
4 3 0
0 3 3
4 1 4
10 7
1 3 3
1 3 1
2 3 0
1 2 2
3 3 0
2 3 1
0 2 1
3 0 0
2 0 2
2 0 3
10 3
2 3 1
5 4 1
0 5 5
5 4 4
5 2 3
4 5 1
1 0 0
4 4 0
0 5 0
3 1 5
10 7
1 3 3
3 1 1
1 3 0
0 1 2
0 1 3
2 1 1
0 3 3
0 0 0
3 0 3
2 1 3
10 4
1 0 0
0 1 0
2 1 0
0 0 2
1 2 2
0 1 1
1 2 1
0 1 2
0 3 3
1 3 1
10 5
2 0 3
1 3 2
3 1 1
0 2 0
3 3 3
0 2 3
2 3 0
3 3 2
3 2 3
0 0 0
10 4
1 4 4
0 1 1
0 3 3
4 1 3
0 0 0
2 4 0
4 0 4
3 4 3
2 0 3
1 4 0
10 4
2 0 0
2 1 2
2 1 0
2 0 2
2 2 3
2 0 1
2 3 1
3 3 3
3 1 1
1 0 1
10 2
2 0 0
3 2 3
0 1 2
1 1 2
1 0 3
3 0 0
1 3 3
1 1 0
0 1 3
1 3 1
10 3
1 4 0
0 2 0
3 1 0
4 5 0
4 4 3
0 5 1
2 2 4
2 1 4
2 3 2
5 5 3
10 6
1 2 1
2 2 1
2 2 0
2 1 1
0 2 2
0 0 1
1 0 1
0 0 2
1 0 2
0 0 0
10 5
1 2 3
1 2 1
2 2 2
3 3 1
1 0 0
0 1 2
0 0 3
0 0 0
3 1 3
2 0 1
10 5
1 0 2
0 3 1
3 0 4
3 3 1
0 4 4
1 3 2
1 4 1
0 1 1
4 3 3
0 1 0
10 9
0 1 2
3 1 0
0 2 4
4 2 1
4 3 2
4 0 0
5 1 5
1 0 5
4 0 3
0 2 5
10 9
3 2 3
3 3 1
3 3 3
2 1 0
3 1 1
0 1 2
3 3 0
2 2 2
2 3 1
1 1 1
10 4
1 2 1
0 4 0
4 3 3
4 0 0
3 2 4
1 5 0
4 5 0
0 0 3
1 5 5
0 4 1
10 8
3 0 3
5 3 4
4 4 2
5 0 3
0 1 5
3 4 1
0 0 3
3 0 2
5 2 5
1 1 3
10 6
1 1 2
0 0 1
0 2 0
2 3 2
3 1 3
1 3 3
2 3 3
2 1 3
3 2 1
2 1 2
10 7
3 0 3
4 3 3
2 2 0
1 3 4
3 3 3
2 1 3
0 3 2
0 4 1
4 3 4
3 0 2
10 7
1 0 0
0 2 2
2 0 1
1 1 2
1 1 1
0 0 0
1 1 0
0 1 1
2 2 0
0 2 0
10 7
2 1 0
0 0 2
2 1 2
2 0 2
1 2 1
1 1 2
1 0 1
0 2 2
0 1 2
0 2 0
10 4
0 2 0
0 1 4
3 3 4
2 3 1
2 0 1
0 3 2
1 0 4
2 2 3
2 4 2
1 4 0
10 8
4 3 0
1 0 0
4 1 1
0 1 1
0 0 3
4 0 4
3 0 3
3 1 2
2 3 1
3 4 4
10 3
0 0 1
1 1 1
2 0 2
2 2 1
0 1 2
2 0 1
1 2 1
0 0 2
2 2 0
0 2 0
10 5
3 5 3
4 0 1
5 0 0
1 4 3
4 0 2
1 0 3
2 3 5
1 1 4
0 0 2
5 2 1
10 8
3 3 1
2 1 2
3 1 1
3 2 3
3 2 0
3 0 1
3 1 0
2 3 3
3 1 2
1 2 0
10 3
1 5 5
5 5 2
0 4 5
3 1 5
4 2 4
3 3 5
4 3 3
0 4 2
0 1 5
0 0 4
10 3
0 0 2
0 2 1
0 2 0
1 0 1
0 1 2
0 0 1
1 2 1
0 1 0
1 1 2
2 0 1
10 2
2 1 3
2 3 1
2 3 3
1 2 0
2 1 1
3 0 3
0 0 1
2 2 1
3 3 1
1 2 1
10 3
1 3 1
1 0 1
3 3 2
1 3 0
1 4 0
4 1 3
2 3 4
3 0 0
3 2 2
0 4 1
10 8
0 0 1
2 1 1
1 1 1
1 0 1
2 2 1
0 1 2
1 1 2
0 1 0
0 2 0
2 1 0
10 6
3 4 5
5 4 2
1 1 5
4 1 3
2 2 4
2 5 4
0 0 0
5 3 5
4 5 3
1 3 5
10 7
2 2 2
3 4 0
3 4 4
1 1 4
3 4 2
4 0 0
2 4 2
3 3 4
4 4 1
1 3 4
10 8
2 3 5
1 1 0
1 2 2
2 1 3
0 3 5
2 4 2
2 5 0
1 5 2
0 3 1
1 2 0
10 4
2 0 1
3 1 3
3 3 1
1 1 2
3 2 2
3 1 2
2 0 3
3 2 0
0 2 3
2 3 0
10 2
1 0 3
3 4 1
4 4 2
4 3 2
3 0 2
0 0 4
3 1 2
1 4 4
0 0 3
0 1 2
10 4
0 1 2
2 2 2
2 0 2
0 2 0
2 1 2
2 1 0
0 1 1
0 1 0
2 0 1
0 2 2
10 3
2 2 2
2 1 2
1 1 0
1 0 0
0 2 0
0 2 1
1 1 1
2 2 0
0 0 2
1 0 1
10 4
3 1 0
5 3 3
3 0 4
5 4 1
5 2 1
5 1 5
4 0 3
3 1 3
4 2 0
1 3 0
10 6
1 0 1
0 1 1
2 1 2
1 1 2
1 2 2
1 2 0
2 1 0
2 1 1
1 1 1
1 1 0
10 8
0 0 2
0 1 2
2 2 1
2 0 2
0 2 2
1 2 0
1 0 0
2 1 1
1 2 2
1 0 1
10 9
1 2 1
2 1 0
1 2 0
0 1 2
0 0 2
0 0 0
1 1 1
1 0 0
1 1 0
0 2 1
10 9
0 0 2
1 3 3
3 0 3
0 2 4
0 4 4
0 0 0
3 2 4
3 4 4
1 1 3
3 2 0
10 9
2 3 0
0 0 0
0 0 2
2 2 2
0 0 1
3 1 1
3 3 1
0 1 0
0 2 3
1 0 0
10 7
0 5 5
1 3 2
5 2 5
5 5 3
1 1 2
5 1 2
3 0 4
5 1 4
1 0 5
2 5 1
10 3
3 4 0
5 4 4
5 3 0
3 0 0
4 3 2
1 1 5
1 4 2
5 2 0
3 4 3
5 1 3
10 7
1 0 0
1 1 0
2 1 1
0 1 1
0 0 1
0 1 0
2 1 0
2 2 0
1 0 2
2 0 0
10 6
0 2 3
2 3 3
4 0 0
2 2 0
4 4 0
0 0 0
0 1 4
0 0 4
1 2 2
2 2 4
10 7
2 2 1
3 3 1
2 2 2
0 1 1
0 1 0
1 2 3
3 1 3
3 0 2
0 1 3
0 3 1
10 3
4 0 3
3 2 3
4 0 2
1 4 4
3 0 3
3 1 2
0 3 1
0 3 3
2 3 1
1 4 3
10 5
3 4 3
4 2 4
4 2 2
4 0 4
0 3 3
3 5 1
2 1 1
2 2 4
0 0 5
3 5 4
10 3
1 2 2
4 0 5
4 0 2
1 2 3
4 5 5
1 0 4
2 3 3
4 3 4
3 0 5
1 4 0
10 8
3 2 0
2 3 0
3 3 3
2 0 3
3 3 0
3 0 2
2 1 1
1 2 1
2 3 2
2 0 2
10 3
5 2 4
3 2 5
0 5 3
5 4 4
2 2 2
5 5 1
2 2 1
1 3 3
1 1 2
0 3 2
10 9
3 0 2
2 0 0
0 3 2
2 2 2
1 2 1
0 1 0
3 3 1
3 2 0
3 3 2
3 3 3
10 8
0 5 5
0 4 4
5 0 3
2 5 5
0 1 5
1 0 1
5 1 3
4 4 3
0 2 1
2 2 5
10 8
0 0 4
4 3 1
4 4 1
0 1 2
4 3 2
4 4 4
4 0 3
3 3 4
4 1 1
1 2 3
10 6
0 0 0
2 1 2
2 0 1
2 2 0
1 0 0
2 2 2
1 2 1
1 0 1
1 0 2
1 1 2
10 5
1 0 0
2 2 1
1 3 1
3 4 3
4 2 4
1 0 2
0 1 2
4 1 0
3 2 3
2 3 0
10 8
0 2 0
1 1 1
2 2 2
0 1 2
0 0 1
1 0 1
0 1 1
2 1 0
0 1 0
1 2 1
10 9
2 0 0
2 4 1
0 2 3
4 5 2
5 1 3
3 2 5
5 1 2
4 4 3
5 5 4
0 1 3
10 4
4 4 1
0 2 3
0 0 4
5 4 2
5 2 3
2 4 1
3 4 0
0 5 5
3 5 3
1 3 5
10 4
2 1 0
3 0 1
0 5 4
5 5 1
4 3 3
2 3 2
5 4 4
3 2 4
2 4 2
1 4 5
10 4
2 1 1
2 2 2
0 0 0
0 2 2
1 2 1
0 1 1
1 0 0
2 0 0
2 2 0
0 2 1
10 3
1 3 4
2 2 1
2 5 2
1 4 4
1 0 5
2 0 1
5 2 1
2 3 3
2 1 4
1 4 2
10 4
0 1 2
1 2 1
0 4 2
2 0 0
3 5 4
4 4 1
1 1 0
4 1 3
0 0 3
2 5 0
10 6
3 4 4
1 0 2
3 0 5
0 4 0
4 5 5
2 0 3
4 1 3
0 5 2
1 4 5
2 2 3
10 3
0 0 0
1 2 0
2 0 1
2 1 1
2 0 3
0 3 3
0 1 3
3 0 3
1 3 3
3 2 2
10 3
2 2 1
1 1 1
1 0 1
2 0 0
0 1 2
0 2 1
0 0 0
0 1 0
2 1 0
0 0 2
10 7
2 0 0
2 1 0
1 0 1
1 1 0
1 2 1
2 1 1
0 0 1
2 2 2
1 2 0
0 1 2
10 2
0 1 4
1 1 4
0 5 3
0 3 2
3 4 1
2 2 1
5 2 5
0 4 0
2 1 2
1 2 1
10 2
1 0 3
2 1 1
3 0 2
1 3 0
3 0 0
3 2 1
0 3 3
2 1 0
1 1 0
1 2 1
10 9
1 2 0
0 1 3
3 2 2
1 1 0
2 3 0
2 2 3
2 0 0
2 1 2
3 0 1
2 1 0
10 7
0 3 4
1 2 3
0 3 0
1 5 5
1 4 0
5 1 5
5 1 0
4 2 1
2 1 3
4 1 5
10 8
0 0 2
1 1 1
0 1 3
1 4 4
0 1 0
4 3 1
4 1 4
1 3 1
4 2 0
4 3 4
10 6
4 3 0
2 4 4
1 1 4
0 2 4
3 2 2
4 0 3
4 2 4
3 0 1
3 0 4
3 0 3
10 4
0 2 1
2 0 0
0 2 0
0 0 0
1 1 0
1 0 0
1 2 0
2 2 2
0 1 0
2 0 2
10 5
3 1 4
4 3 4
1 1 3
0 1 1
0 2 1
1 1 0
4 0 2
4 4 1
1 2 1
4 4 2
10 4
0 2 4
5 5 1
3 3 2
4 2 0
2 3 3
1 4 4
2 3 4
4 5 5
5 4 5
3 5 3
10 9
0 1 0
1 2 3
2 1 2
3 0 1
0 1 2
0 0 1
2 0 0
3 1 0
2 3 0
3 1 1
10 2
3 1 0
0 1 3
3 2 0
3 0 3
0 2 3
0 3 0
3 2 3
2 1 1
0 1 1
1 3 0
10 4
2 1 3
0 0 1
1 0 2
2 3 1
4 4 3
1 1 1
3 4 2
3 4 1
1 1 3
1 1 4
10 4
2 1 0
0 3 0
2 0 0
1 1 1
0 1 3
0 1 2
0 1 1
0 2 0
0 2 3
2 2 3
10 7
3 0 2
5 3 3
0 2 5
5 4 4
1 0 0
2 1 0
2 2 0
2 0 4
4 5 0
5 4 1
10 2
5 2 1
1 3 4
3 2 4
4 0 3
2 3 0
5 5 3
0 5 0
3 2 0
0 1 0
0 0 3
10 5
3 2 2
3 0 1
3 3 1
3 3 2
0 1 3
0 1 1
2 2 3
3 2 3
1 3 1
0 2 3
10 2
1 0 0
0 0 2
1 0 1
2 1 1
0 1 1
1 2 1
0 1 2
2 2 1
1 1 1
0 0 0
10 4
3 3 4
0 2 5
4 0 1
1 5 1
3 5 1
5 0 2
2 4 4
4 4 0
5 4 3
3 4 3
10 4
0 4 2
4 2 4
4 3 4
1 1 2
2 3 2
2 0 4
0 0 4
2 0 1
4 1 0
1 3 3
10 7
0 1 0
0 3 1
2 0 3
0 0 0
3 1 0
1 1 2
0 3 0
2 0 1
3 2 3
2 2 3
10 2
1 2 0
0 0 0
2 0 2
1 1 1
1 0 1
0 0 1
0 2 0
2 2 0
2 0 0
1 0 2
10 6
0 5 3
0 4 4
4 1 1
4 2 2
5 0 4
3 3 0
1 4 0
2 2 0
5 1 1
2 4 4
10 6
0 1 1
2 1 1
1 2 0
0 2 0
2 1 2
2 0 1
2 2 1
0 1 2
1 0 2
1 0 0
10 5
2 0 1
1 2 0
1 1 1
2 2 1
1 2 2
0 2 2
2 0 2
2 2 2
2 1 2
0 0 1
10 3
1 4 4
5 1 2
4 1 0
4 5 3
5 0 0
5 4 4
5 3 1
2 2 0
4 2 2
5 1 5
10 6
3 1 2
2 3 2
0 3 3
3 0 2
0 0 2
3 0 0
3 1 0
1 0 0
3 2 3
3 2 2
10 5
3 4 0
4 5 3
1 5 0
2 1 2
4 5 2
3 0 2
1 1 5
0 5 5
4 3 4
2 0 5
10 4
2 2 0
1 1 4
3 1 0
0 1 4
1 2 4
0 4 3
2 0 0
0 2 4
1 4 0
1 1 1
10 8
1 3 1
0 2 3
5 2 2
0 0 5
3 1 1
4 3 1
3 0 2
3 5 4
1 2 2
4 4 3
10 7
1 1 3
4 3 3
0 2 2
4 4 3
0 2 1
3 4 1
2 4 2
3 3 1
4 0 0
3 4 4
10 6
3 0 0
0 1 1
1 3 3
4 4 4
2 3 0
0 3 0
0 4 3
4 2 1
4 3 2
0 1 3
10 4
1 2 1
1 1 1
2 3 0
0 0 1
0 3 1
2 1 0
3 2 0
1 1 0
3 2 1
2 2 2
10 5
1 2 2
3 1 3
1 3 2
5 5 2
5 2 3
3 5 0
5 1 3
0 5 2
4 3 4
0 4 5
10 4
2 2 1
0 2 2
0 1 2
2 2 2
1 0 0
1 1 2
2 1 1
2 1 2
1 2 2
0 0 0
10 7
0 1 0
3 3 1
1 3 3
3 1 3
0 2 3
0 0 3
1 0 1
0 0 2
3 0 2
0 0 1
10 8
3 2 3
4 0 5
3 3 1
4 0 2
0 3 3
5 3 1
3 0 4
4 0 3
1 0 2
2 0 3
10 8
0 1 3
1 3 3
3 0 1
0 2 2
2 2 0
1 0 3
2 2 2
1 1 3
3 0 2
2 1 2
10 8
0 0 1
2 3 1
2 2 0
1 0 1
2 2 2
0 1 0
0 3 0
1 1 1
3 1 3
1 3 3
10 3
1 1 2
3 3 4
4 2 5
3 1 2
4 5 2
5 4 4
2 2 3
2 2 2
0 5 3
5 2 4
10 4
3 2 2
0 3 1
0 1 4
2 4 3
2 0 1
0 2 3
2 1 1
3 4 1
3 2 0
1 1 4
10 4
3 2 2
0 1 3
1 1 1
2 2 2
3 3 2
2 1 3
0 0 2
1 1 2
1 1 3
3 2 0
10 5
3 1 1
1 3 0
4 1 3
2 0 1
4 0 0
2 3 2
1 1 2
2 3 3
3 4 1
2 0 4
10 3
2 2 1
5 3 4
4 5 4
5 5 5
5 0 4
1 0 0
2 0 0
0 2 2
3 1 3
5 1 4
10 7
1 0 1
1 0 0
2 2 2
2 3 1
0 0 0
1 2 1
2 3 3
1 1 2
0 3 1
2 0 3
10 6
1 1 3
4 3 2
2 2 2
4 2 4
4 0 0
0 4 4
1 3 0
2 2 1
0 3 3
1 1 4
10 4
4 4 2
3 2 2
2 2 4
1 3 2
1 1 2
1 0 2
4 1 0
0 4 3
2 3 1
2 4 4
10 7
4 2 2
5 1 4
5 5 4
0 5 2
5 2 1
5 0 0
3 1 1
1 5 2
2 0 1
2 5 4
10 9
1 2 1
3 0 2
2 3 0
3 4 0
1 1 0
0 4 4
4 1 1
0 3 0
4 4 4
4 0 1
10 7
2 3 1
0 2 1
3 2 1
3 1 2
3 0 1
2 1 2
0 0 2
3 0 2
2 2 0
2 2 3
10 7
0 2 1
2 4 2
4 2 0
0 4 4
0 0 4
2 5 4
1 2 4
3 2 3
0 2 4
0 3 5
10 4
4 3 3
3 3 2
3 3 0
3 1 2
0 0 3
4 0 1
4 1 3
2 2 2
4 0 4
0 1 0
10 8
0 2 0
2 2 1
0 0 0
0 1 1
2 0 0
0 0 2
0 1 2
1 0 1
2 1 2
2 2 2
10 7
1 2 1
0 2 0
2 0 4
0 1 4
0 4 0
3 3 4
3 1 2
0 4 4
3 3 1
2 4 0
10 3
0 0 1
2 0 0
2 1 0
0 2 1
1 1 0
0 2 0
2 0 1
1 2 2
0 0 0
1 2 0
10 9
3 2 1
4 1 0
3 4 3
3 1 4
3 4 4
3 3 4
3 2 0
4 2 2
4 1 1
2 1 1
10 2
0 1 2
1 1 2
1 1 1
2 2 2
1 2 1
2 0 2
2 1 1
0 2 0
2 0 0
2 1 0
10 6
0 1 0
3 0 3
2 0 3
1 1 0
2 2 0
0 2 0
1 2 1
3 2 2
2 2 3
1 3 0
10 7
0 0 1
0 1 0
1 1 0
2 0 0
2 1 0
2 2 2
0 2 1
1 2 1
1 1 2
2 1 1
10 5
3 0 0
0 4 4
0 1 3
4 4 3
2 0 4
0 3 0
4 3 4
0 0 2
3 1 1
2 0 1
10 6
2 3 1
1 3 3
1 3 0
3 2 3
1 3 1
1 2 2
2 1 0
3 0 2
1 0 0
1 1 3
10 5
0 4 2
3 3 2
4 2 2
0 3 2
0 2 1
0 0 1
0 1 4
2 1 0
1 3 3
0 4 1
10 6
4 4 1
0 2 0
1 0 0
2 2 2
4 5 4
3 4 0
4 2 0
3 3 2
1 2 4
0 2 1
10 4
1 0 1
2 1 2
2 0 2
2 1 1
0 2 2
2 2 0
2 1 0
0 2 1
0 1 2
0 1 0
10 7
3 0 3
0 2 1
2 1 2
3 3 3
1 2 3
2 2 1
0 1 3
3 0 1
0 3 0
2 0 0
10 9
3 4 3
0 4 3
3 2 3
2 3 2
1 0 3
3 1 2
0 2 4
1 0 0
3 0 4
2 4 4
10 8
2 2 1
5 3 5
0 0 4
1 0 4
2 2 3
0 1 1
0 3 0
3 2 5
2 3 4
5 3 3
10 3
1 2 5
1 5 5
4 2 2
3 4 2
1 4 5
4 3 0
5 5 0
0 1 0
0 4 0
1 0 5
10 5
0 1 0
1 2 0
2 0 1
0 0 1
1 0 2
1 2 2
0 2 0
0 0 0
2 2 0
2 0 0
10 7
0 1 2
1 4 4
1 4 0
0 2 4
3 2 0
4 3 4
2 4 3
4 3 0
2 4 4
0 4 0
10 5
1 1 1
2 0 1
2 0 0
1 2 2
2 2 2
2 2 1
0 2 1
1 1 0
1 2 0
1 1 2
10 7
1 3 3
2 3 0
3 1 3
3 2 3
1 2 1
3 3 0
3 0 0
1 3 0
2 2 3
2 1 1
10 9
2 0 3
2 3 2
2 2 1
1 1 3
3 2 0
3 0 0
3 0 3
2 0 0
0 2 3
0 2 1
10 4
0 3 0
4 3 4
4 2 3
3 2 3
4 0 1
0 3 3
1 1 4
3 4 1
0 1 0
0 1 1
10 4
3 1 0
1 2 5
4 4 4
2 0 4
4 5 2
5 2 0
2 3 2
4 0 0
2 5 5
5 3 0
10 9
2 4 3
2 2 3
3 3 1
4 0 0
0 2 1
1 4 1
3 4 3
3 2 4
4 0 4
3 4 2
10 4
5 0 0
1 5 1
0 3 1
5 5 2
0 0 0
2 5 1
5 0 1
1 2 3
3 5 2
1 0 3
10 9
1 0 0
2 2 2
1 1 3
3 3 0
0 1 2
1 3 3
2 1 1
3 2 1
2 2 1
2 1 2
10 6
2 1 3
0 4 4
0 4 1
3 4 1
1 0 3
3 1 5
3 4 5
4 3 5
1 3 4
2 4 3
10 3
0 0 0
0 0 3
1 1 1
0 1 1
3 0 3
3 3 1
1 2 2
1 1 3
2 3 0
0 1 0
10 9
2 0 1
1 1 2
1 1 0
2 2 0
2 0 0
2 1 2
2 2 2
1 2 2
0 1 0
0 0 0
10 2
3 4 4
1 4 2
3 2 4
0 1 4
2 1 0
1 2 3
3 0 2
4 2 4
1 3 0
2 0 0
10 9
1 1 0
2 1 1
0 1 2
0 2 2
2 0 1
0 2 1
1 1 1
1 0 2
0 1 1
2 2 2
10 7
1 2 0
2 4 4
2 1 4
0 1 2
3 0 4
1 2 1
2 1 3
1 2 2
2 4 0
2 3 1
10 7
4 1 2
4 4 2
3 3 2
1 3 3
4 0 2
4 0 3
0 0 2
4 1 1
2 4 2
4 4 1
10 8
1 3 0
5 2 4
3 2 4
2 1 3
0 2 5
3 3 4
3 5 1
0 1 1
0 2 1
3 2 0
10 2
1 1 5
0 0 2
1 2 5
2 2 3
0 4 3
3 4 3
1 0 0
3 4 1
5 5 5
1 4 5
10 6
1 0 2
0 1 0
1 2 2
1 2 0
2 0 2
0 1 1
1 1 2
0 1 2
2 1 1
2 2 2
10 6
1 3 2
0 2 1
2 3 0
2 1 1
1 1 1
0 3 2
2 2 1
1 0 0
0 1 2
0 1 3
10 2
0 2 2
2 0 2
1 2 0
1 2 1
1 0 0
0 1 0
1 0 1
2 1 0
0 1 2
1 1 1
10 2
0 5 0
2 1 4
2 2 2
1 1 4
4 0 5
0 0 0
4 5 4
5 4 0
4 0 3
4 1 4
10 2
0 2 1
0 2 0
3 2 4
4 1 2
2 3 0
3 1 2
0 1 2
1 3 2
1 2 0
3 1 4
10 6
4 0 0
2 1 0
5 0 1
2 4 4
3 1 3
4 1 4
5 3 5
4 4 1
3 3 0
5 0 4
10 5
0 1 0
2 1 0
1 1 2
4 2 1
4 3 1
2 1 1
3 0 2
0 2 4
3 1 1
2 0 1
10 4
2 3 4
1 1 3
0 4 1
1 2 4
1 4 3
2 2 2
3 3 2
4 0 2
2 0 2
0 3 0
10 2
0 2 3
2 0 5
4 5 4
2 3 1
0 5 0
4 5 0
1 4 3
2 4 5
1 5 0
5 0 0
10 5
0 0 1
0 2 2
1 0 0
1 2 0
0 1 2
0 1 0
1 1 1
0 2 1
1 1 0
2 2 1
10 9
1 2 0
1 0 1
1 0 0
0 2 2
0 0 0
2 2 1
1 2 2
2 2 0
0 2 0
1 2 1
10 5
1 4 0
1 0 1
3 0 3
2 2 0
1 0 4
1 4 3
1 0 3
3 1 4
0 4 4
0 2 1
10 4
1 0 2
2 0 2
2 2 2
1 2 0
0 2 2
2 1 0
2 1 2
0 0 2
1 2 2
1 0 0
10 6
2 0 1
0 0 0
0 1 2
0 2 1
1 1 2
2 1 0
1 1 1
0 1 1
1 1 0
2 2 2
10 6
1 2 0
1 1 2
0 2 1
0 2 2
1 1 1
2 2 1
0 1 0
2 0 0
1 0 1
1 1 0
10 8
1 0 2
0 2 1
2 1 2
0 0 0
2 0 2
1 1 2
0 1 0
0 2 2
1 2 1
1 1 1
10 9
0 4 3
2 1 2
3 4 0
0 4 0
1 0 1
2 4 3
3 1 0
0 2 2
3 0 1
4 2 2
10 4
2 2 2
2 0 2
0 2 2
1 2 1
1 2 0
0 2 1
0 0 0
2 1 1
1 1 0
2 1 0
10 3
0 0 3
1 4 3
1 2 3
1 3 0
2 0 2
3 3 2
1 3 1
4 2 2
4 4 3
1 2 0
10 6
0 2 0
2 0 2
2 0 0
0 3 0
3 1 2
1 1 3
0 0 0
0 0 1
2 2 2
1 0 0
10 8
2 0 4
4 4 0
0 3 2
3 4 1
2 4 4
1 0 1
0 3 3
0 3 4
1 4 3
1 0 2
10 2
5 1 1
3 3 5
3 1 3
4 1 3
5 4 5
1 1 3
2 4 0
2 3 1
1 4 5
0 1 4
10 9
1 3 0
1 0 1
3 0 0
2 3 0
0 1 3
3 2 2
2 3 3
3 2 0
1 3 3
3 0 1
10 6
0 3 3
0 3 4
3 2 4
2 3 2
1 2 2
4 0 2
2 3 4
0 4 2
4 1 1
4 4 0
10 8
0 0 0
2 0 1
1 2 1
1 0 2
0 2 2
1 0 0
2 0 0
1 1 0
2 1 0
2 1 1
10 4
1 0 3
2 3 0
2 4 1
1 4 4
3 1 2
4 4 0
3 4 0
4 0 0
4 0 4
4 2 0
10 2
3 4 5
1 4 5
4 0 1
4 3 1
2 1 3
4 2 3
3 4 2
0 2 3
0 3 1
5 1 1
10 9
5 4 1
5 2 2
0 0 2
1 2 0
5 5 2
0 3 0
2 2 2
3 5 0
2 1 1
3 1 1
10 3
1 1 0
2 0 1
2 2 1
2 2 2
1 1 1
2 1 1
1 0 1
0 2 2
0 1 1
1 0 0
10 4
2 0 0
1 1 2
0 2 2
1 2 0
1 2 2
2 2 2
0 1 2
1 0 1
2 1 1
0 0 1
10 9
3 0 0
3 4 1
3 4 4
1 4 0
1 1 4
3 1 4
4 1 2
2 2 4
4 2 3
0 3 2
10 8
0 0 1
1 2 0
2 0 1
0 2 0
2 2 1
0 1 1
0 1 2
2 1 2
0 0 0
2 2 2
10 6
1 3 1
5 5 1
2 1 4
2 4 5
0 3 0
2 4 0
3 3 3
3 4 5
3 3 4
2 2 0
10 9
2 2 1
1 0 3
4 2 3
0 3 2
3 0 3
1 1 2
4 1 3
3 3 0
4 3 3
3 4 4
10 9
2 0 1
0 2 2
1 0 1
1 1 2
1 1 0
1 2 0
1 2 2
2 2 1
0 2 1
2 2 2
10 2
0 2 1
3 2 3
2 0 2
3 3 3
0 1 1
2 2 1
3 3 1
1 0 3
3 1 0
0 3 0
10 7
0 1 1
1 1 0
2 0 0
1 1 1
1 2 1
1 1 2
0 2 0
1 0 0
0 0 0
0 0 1
10 3
4 0 0
1 4 3
0 3 2
1 4 0
4 0 4
4 1 4
0 3 1
2 4 1
3 1 0
4 0 3
10 4
0 5 2
5 3 2
5 4 2
5 4 1
2 3 5
1 5 5
0 4 1
4 0 5
4 4 1
0 4 2
10 2
2 2 0
3 0 3
2 2 3
0 2 1
2 3 3
1 3 2
2 1 0
2 0 2
2 1 1
0 2 2
10 8
1 2 3
2 0 1
3 0 0
1 2 2
0 1 3
3 2 2
1 3 0
1 0 1
2 0 3
2 0 0
10 4
3 2 1
1 0 2
2 3 2
3 3 1
1 3 2
1 1 0
0 1 1
3 1 2
1 2 0
1 0 0
10 9
3 1 4
3 0 1
2 0 1
3 0 2
1 2 0
0 2 3
3 2 3
1 0 1
1 2 1
1 1 0
10 6
3 1 2
2 3 2
3 0 0
1 1 0
1 0 2
2 2 0
2 1 0
0 3 1
0 0 2
0 2 1
10 3
2 0 3
1 3 3
1 1 4
2 0 5
0 2 3
1 5 5
1 1 3
2 5 1
0 3 2
4 4 1
10 8
4 2 4
2 2 0
3 1 0
2 4 0
0 1 0
4 4 1
2 3 0
4 2 3
3 0 1
3 2 0
10 4
3 5 1
5 4 0
5 3 0
3 4 2
3 2 1
4 2 4
3 4 1
1 2 5
1 0 4
3 5 0
10 9
4 2 4
4 4 5
1 1 1
5 4 5
3 3 4
2 1 2
5 2 5
0 2 2
5 3 5
3 1 2
10 3
2 2 3
0 0 2
0 2 3
0 3 2
3 0 0
2 3 1
3 1 3
0 0 3
1 2 1
2 1 2
10 6
1 0 1
0 1 0
1 2 2
0 2 1
0 1 1
2 1 1
2 0 2
3 1 2
0 0 2
2 3 1
10 8
3 4 1
5 4 0
1 0 0
4 1 5
1 5 1
5 3 1
4 1 4
1 1 1
2 0 1
2 4 1
10 5
0 3 5
5 4 1
5 3 0
5 0 5
5 1 1
0 1 0
3 5 4
4 5 0
3 4 1
4 1 1
10 8
4 4 3
2 2 4
3 4 2
3 4 3
4 2 2
2 1 4
1 4 1
2 4 4
0 3 1
4 3 0
10 7
1 2 3
2 2 0
0 3 2
1 0 1
0 0 3
1 3 0
0 1 3
1 2 1
3 1 2
1 2 0
10 4
2 2 2
0 2 2
1 1 1
2 2 1
1 0 1
1 2 1
2 1 0
0 0 2
1 1 2
2 0 2
10 2
2 1 0
3 1 5
2 1 5
3 4 3
1 2 1
3 1 4
5 2 0
1 3 5
1 0 1
3 1 1
10 8
1 1 2
0 2 1
0 1 0
1 2 1
2 1 2
0 0 1
2 2 2
2 0 1
1 1 0
2 2 1
10 8
3 0 1
3 0 3
3 2 1
2 3 2
0 1 1
0 1 0
2 1 0
0 1 2
3 2 3
3 3 2
10 8
2 0 2
1 0 2
0 2 1
1 0 0
1 2 1
1 1 1
2 1 1
1 2 2
2 2 1
1 2 0
10 6
3 0 4
1 4 0
5 4 1
1 3 0
1 2 5
3 4 5
3 5 2
0 2 1
4 0 4
4 1 0
10 3
1 3 2
3 1 3
3 1 1
0 2 0
0 2 2
1 0 0
0 3 2
3 0 1
2 3 1
0 3 0
10 5
1 2 4
2 2 3
2 4 4
1 4 0
4 4 1
3 2 4
4 0 2
1 4 3
0 4 3
0 2 0
10 6
0 2 5
1 2 5
1 3 5
2 3 5
3 5 5
1 5 1
0 5 0
3 4 3
5 5 4
5 0 2
10 9
1 2 2
0 0 2
2 0 2
2 1 2
2 2 2
1 0 1
1 2 0
0 0 0
2 2 0
2 0 0
10 6
1 0 1
2 1 0
0 0 1
2 1 1
0 1 0
2 0 1
2 1 2
2 0 0
2 2 2
1 1 0
10 9
0 2 1
0 1 0
1 0 2
0 0 1
0 2 2
1 0 0
1 0 1
0 1 1
2 0 0
2 2 1
10 6
0 2 3
3 2 3
0 2 1
1 2 2
3 1 0
2 3 1
1 0 3
3 3 3
0 0 2
2 1 3
10 3
3 1 2
1 4 4
2 2 1
0 2 3
5 2 4
0 3 1
5 3 1
1 2 4
0 1 3
4 5 3
10 7
3 1 0
3 1 5
4 1 3
3 0 5
0 4 0
4 0 4
1 3 2
1 2 1
5 5 3
5 2 0
10 5
0 5 4
0 3 3
3 1 2
5 5 0
2 0 0
5 1 1
0 5 5
3 2 5
1 5 4
5 1 5
10 4
1 0 0
0 1 1
2 2 0
2 0 1
1 0 2
1 2 2
2 2 2
0 0 0
0 2 1
0 0 2
10 7
3 3 0
1 2 3
2 1 2
3 1 0
0 1 1
3 2 3
2 3 1
1 0 2
2 0 2
0 3 2
10 9
1 3 1
3 1 3
3 4 4
3 2 2
1 4 1
4 1 0
0 1 0
1 3 2
2 1 2
1 3 0
10 8
1 3 0
0 1 0
1 1 2
0 3 2
0 0 3
3 3 1
2 1 3
2 2 2
2 3 1
3 0 3
10 3
3 3 2
0 1 3
0 2 3
3 1 2
2 0 1
2 2 0
1 1 1
3 3 1
2 3 3
2 3 2
10 7
3 2 4
3 0 4
5 2 2
1 5 2
0 2 3
4 5 5
4 0 5
5 4 5
4 2 3
4 0 0
10 9
1 3 4
0 3 4
2 3 3
1 0 0
0 1 0
4 2 1
4 0 2
0 1 4
2 1 0
4 4 4
10 3
3 2 1
4 1 1
3 1 0
5 5 2
1 0 0
4 2 4
4 4 4
2 0 0
5 4 0
2 0 5
10 6
4 5 0
5 5 3
2 5 0
2 2 4
1 2 3
0 4 5
4 1 5
2 1 3
4 2 1
2 4 4
10 6
4 2 1
4 0 3
2 0 4
2 1 0
2 0 0
1 2 3
2 2 3
2 3 3
3 4 1
1 1 0
10 4
4 3 5
5 5 1
2 1 2
4 4 4
5 1 0
1 2 0
1 0 3
5 5 0
1 1 4
3 4 2
10 6
3 1 2
1 0 2
1 0 3
3 0 1
2 3 3
2 0 1
1 2 3
3 0 2
2 0 3
2 2 3
10 4
0 1 0
2 2 0
2 1 2
3 0 3
2 1 1
3 3 2
3 0 1
1 1 3
3 2 2
3 3 3
10 2
2 5 0
0 5 4
2 1 4
4 4 2
1 4 4
4 5 2
2 2 2
0 3 4
1 0 5
3 5 0
10 4
4 3 0
5 0 2
0 4 5
4 3 2
4 3 5
1 3 2
4 4 0
1 5 2
2 1 4
1 2 2
10 9
0 3 3
0 0 3
2 5 5
0 0 4
4 1 5
5 4 2
1 5 2
3 2 1
5 0 4
3 5 1
10 8
0 1 2
0 0 0
1 1 0
0 2 0
1 0 1
1 3 3
1 3 2
0 0 1
2 0 1
3 2 2
10 8
2 3 1
2 4 0
5 1 2
5 5 2
1 3 1
3 3 0
4 0 0
4 0 3
0 5 4
2 0 3
10 6
2 1 1
2 3 3
0 0 3
1 0 1
0 1 1
3 1 0
3 0 2
3 0 3
3 2 2
3 3 3
10 7
0 0 3
5 1 0
3 3 2
0 5 2
4 5 5
3 4 0
3 0 4
4 1 1
0 2 5
0 3 0
10 6
1 2 1
1 2 2
1 0 2
2 0 0
2 2 0
0 0 0
0 2 0
2 2 2
0 2 1
0 0 2
10 8
0 0 1
3 2 1
2 2 3
5 5 3
4 1 5
1 0 2
1 3 5
2 1 5
3 5 5
4 0 0
10 3
2 5 2
0 4 1
2 4 5
2 1 4
1 4 4
3 5 2
1 5 4
5 4 2
2 0 1
1 1 4
10 5
1 0 1
1 0 2
2 0 2
1 1 1
0 0 1
1 1 2
2 0 0
1 2 2
1 1 0
0 1 2
10 7
0 2 0
0 1 0
1 1 1
2 2 0
2 1 2
1 1 2
1 0 2
1 2 2
2 0 2
0 0 2
10 7
2 1 0
3 2 0
1 3 0
1 1 1
2 2 1
3 1 3
2 2 3
3 2 2
0 0 3
3 3 0
10 6
1 4 1
1 0 0
4 4 1
3 3 1
4 0 3
0 0 4
2 0 0
1 1 2
0 1 1
0 2 4
10 6
2 0 0
0 2 1
0 3 0
1 1 0
2 3 3
2 0 3
0 0 3
2 1 0
0 2 0
2 0 2
10 2
1 4 3
1 5 5
4 2 5
0 2 1
5 4 0
3 1 1
0 1 2
4 1 4
3 4 0
0 1 0
10 8
1 3 1
0 3 3
2 0 2
1 3 0
1 1 1
2 0 0
2 0 1
2 0 3
0 2 3
1 0 2
10 9
0 2 0
3 0 2
3 1 0
3 0 3
3 2 3
1 2 3
3 3 3
2 3 0
1 3 1
1 0 2
10 8
0 0 1
0 2 1
1 2 2
0 2 0
0 1 0
2 1 2
1 0 0
1 1 1
0 2 2
1 0 2
10 5
2 0 1
1 1 1
1 0 1
0 1 1
1 0 0
1 0 2
1 2 2
0 1 0
2 2 2
2 0 0
10 2
1 1 2
2 2 0
0 2 0
3 1 1
3 0 1
0 1 0
0 3 3
3 2 0
0 1 3
1 2 3
10 4
1 2 1
1 3 1
3 4 2
4 2 4
3 0 0
0 2 2
3 1 1
4 4 0
2 3 0
2 3 4
10 7
0 1 1
3 2 2
2 2 3
2 2 1
2 2 2
3 0 1
2 1 3
0 3 2
0 2 1
0 2 3
10 3
2 0 3
0 2 2
3 2 1
2 2 0
0 0 0
1 3 0
2 3 0
1 2 0
1 1 3
3 3 1
10 4
2 2 0
0 2 2
1 1 0
1 0 1
1 0 2
2 0 0
0 1 0
0 0 0
1 2 0
1 1 1
10 9
3 1 0
3 2 4
1 0 1
3 1 4
2 2 2
3 1 2
2 4 1
4 0 1
0 0 0
4 1 2
10 3
1 1 5
5 2 2
2 3 1
5 2 3
0 4 1
4 0 5
4 3 3
3 5 3
0 3 5
5 4 1
10 9
0 3 0
3 3 0
2 2 1
3 2 1
0 3 1
3 3 2
3 3 1
0 1 0
0 2 1
2 2 3
10 9
5 2 1
4 1 3
2 3 5
0 5 4
2 5 5
3 5 4
0 4 3
3 4 4
4 4 5
1 3 3
10 7
3 4 0
4 4 1
0 1 3
3 4 4
4 4 3
1 3 0
2 1 1
0 3 4
1 2 2
2 3 3
10 2
0 0 3
3 1 2
3 0 1
2 3 1
0 2 3
2 1 2
2 2 1
3 1 1
0 3 3
0 1 3
10 2
0 0 2
0 2 2
0 1 0
2 0 2
2 0 1
2 2 1
1 0 0
0 1 2
1 2 0
2 1 0
10 6
1 3 2
3 2 4
0 2 2
1 0 1
1 3 5
3 4 0
5 0 2
4 5 5
3 1 2
0 4 4
10 7
1 2 1
1 1 0
2 1 1
1 1 1
0 2 1
0 1 2
1 2 2
2 0 1
2 2 2
0 0 1
10 6
0 3 2
2 0 2
2 1 3
0 1 0
0 2 3
3 1 0
2 3 3
3 0 3
1 0 2
1 0 3
10 3
0 1 4
0 1 3
4 0 2
2 4 3
2 2 4
1 0 4
1 1 4
2 1 2
0 4 4
0 4 3
10 2
4 1 1
0 0 4
2 1 0
3 3 1
2 0 2
4 2 4
0 3 4
2 2 0
0 2 3
0 4 4
10 4
3 4 3
4 4 1
0 3 3
0 3 4
0 1 4
3 2 4
3 1 4
4 0 3
0 1 0
2 0 0
10 7
1 2 0
2 0 1
1 1 2
1 0 1
2 2 0
1 1 0
2 0 2
2 2 1
0 2 1
0 0 0
10 5
1 2 2
2 2 0
0 2 0
0 2 2
2 0 2
0 0 2
2 1 1
1 2 0
2 0 1
2 2 1
10 9
1 2 1
0 1 2
2 2 0
0 2 2
1 1 2
1 0 0
2 0 2
2 1 1
2 0 0
0 2 0
10 4
0 1 2
1 1 0
3 0 3
2 3 0
0 0 0
2 1 3
1 1 3
2 0 2
0 0 2
2 2 1
10 5
1 1 1
0 0 0
0 2 0
2 0 0
2 2 0
1 2 1
2 0 2
2 2 2
0 1 2
0 2 1
10 3
3 0 4
1 2 3
0 0 1
3 3 0
2 4 3
1 4 4
0 0 3
3 3 3
1 2 1
1 1 4
10 7
1 3 1
3 0 3
0 3 3
2 3 3
1 0 0
2 0 2
3 2 3
3 0 1
2 2 1
3 2 2
10 4
5 5 2
0 0 0
3 4 2
1 4 5
3 1 4
3 2 1
2 2 4
0 1 0
3 2 3
2 1 5
10 9
3 2 0
4 5 4
5 1 3
0 4 4
5 3 0
5 2 0
3 1 4
4 1 2
4 0 1
2 4 4
10 5
1 2 0
2 0 1
0 0 1
2 2 0
0 1 2
2 1 0
1 1 2
1 2 2
2 0 0
1 0 2
10 9
4 2 1
0 0 0
5 3 0
1 0 0
4 5 0
5 2 2
5 2 0
2 4 3
0 5 1
5 5 0
10 5
2 1 1
2 0 1
1 1 0
4 2 2
3 1 1
2 4 2
1 3 0
3 3 2
4 0 4
1 2 3
10 6
3 1 2
3 2 4
1 4 0
3 0 1
3 1 4
4 4 2
2 4 0
0 2 0
1 4 1
0 3 1
10 2
1 3 1
0 3 0
0 2 3
0 2 1
1 2 0
0 0 1
0 1 0
0 0 3
1 0 1
0 2 0
10 5
0 1 2
1 1 3
0 0 0
3 3 0
1 2 2
1 2 0
3 1 2
1 1 2
1 1 1
0 2 1
10 6
2 2 3
2 1 2
0 2 0
3 0 1
3 2 2
1 1 2
3 2 1
2 3 3
3 3 1
0 3 0
10 5
3 2 3
0 5 5
2 4 2
4 1 4
1 5 1
5 2 5
5 0 5
3 3 3
0 0 3
5 3 3
10 8
2 0 0
1 2 3
3 0 2
3 2 2
1 0 3
0 0 0
2 2 0
1 3 2
3 0 0
1 1 1
10 3
0 0 1
1 1 2
1 2 0
2 1 2
1 1 0
0 2 2
0 2 1
1 2 1
0 2 0
1 0 2
10 8
3 4 4
0 0 1
4 4 1
4 0 4
1 1 3
0 0 3
4 1 4
1 1 4
5 5 3
0 1 4
10 9
1 1 0
5 4 3
0 4 2
3 2 1
1 3 5
4 4 1
3 3 0
3 1 0
3 5 3
3 0 3
10 8
2 2 1
1 3 1
2 1 0
3 0 4
4 0 1
4 1 5
4 0 2
0 2 5
4 5 3
4 3 2
10 4
0 0 3
3 3 2
1 1 2
3 3 1
2 2 1
0 1 3
1 3 0
0 3 1
2 3 0
0 2 1
10 6
0 2 3
0 4 4
1 1 4
1 2 2
0 0 4
1 4 3
1 3 2
0 3 0
0 3 1
3 1 3
10 4
4 1 0
4 3 4
3 4 1
3 2 0
3 3 1
3 1 3
2 2 1
2 0 4
2 3 3
1 1 1
10 5
4 4 2
3 0 0
0 5 3
5 0 5
2 4 4
5 1 5
1 5 5
4 3 5
0 2 1
3 1 0
10 5
1 2 4
3 3 1
2 1 3
3 0 3
2 4 3
0 0 3
0 3 1
2 3 0
1 0 1
0 0 1
10 3
2 0 2
2 1 1
0 2 1
0 1 0
1 0 0
0 1 1
0 0 1
2 2 0
2 0 0
2 1 0
10 3
1 2 2
4 3 1
4 2 1
2 0 2
3 0 2
2 1 1
4 4 2
2 1 3
3 1 4
2 1 2
10 7
2 3 0
0 1 2
3 2 0
1 0 4
2 1 3
3 0 2
3 2 2
0 1 4
4 4 3
3 4 1
10 3
3 0 0
1 1 0
2 2 2
1 2 2
3 3 2
2 3 3
2 1 0
0 2 0
2 3 2
3 3 3
10 8
0 1 3
1 3 2
2 3 4
0 4 1
2 0 0
2 3 1
4 0 0
1 2 4
4 1 0
3 0 3
10 6
3 3 2
0 1 0
2 0 2
2 2 2
0 1 1
2 1 0
0 0 2
2 0 1
3 1 3
3 2 1
10 2
0 0 1
1 0 2
1 2 2
2 0 1
0 0 2
2 1 0
1 0 0
2 2 1
2 2 0
1 0 1
10 7
2 2 0
0 0 3
0 1 3
0 0 0
3 2 0
1 3 3
1 2 2
2 3 1
3 1 3
0 1 0
10 6
1 2 0
1 2 1
0 0 1
2 2 2
1 0 1
1 1 2
2 2 1
2 0 2
2 1 2
1 1 0
10 7
2 2 2
0 2 1
0 1 2
1 1 2
1 1 0
2 2 1
1 1 1
1 2 0
1 0 2
0 0 2
10 8
4 4 2
4 0 4
1 0 0
4 0 1
1 0 3
4 4 4
0 1 4
0 2 3
1 3 0
0 2 4
10 2
3 0 3
2 2 3
1 0 2
3 1 3
2 4 3
0 1 0
1 3 1
3 4 3
4 4 3
1 2 4
10 4
4 4 1
3 4 3
1 2 3
4 2 3
3 0 2
4 1 0
4 1 4
1 1 4
1 2 4
1 4 3
10 8
4 1 1
4 1 0
0 4 1
0 1 2
1 0 0
2 4 4
4 0 0
1 0 4
2 2 4
2 4 3
10 5
2 0 5
3 0 3
2 5 5
3 0 0
5 4 4
4 4 4
0 5 4
5 2 0
3 1 5
5 5 1
10 8
4 0 4
4 1 2
1 3 3
1 4 3
3 4 0
3 1 0
3 0 2
2 1 3
2 2 2
0 0 2
10 7
3 1 2
3 2 2
2 4 0
1 0 1
4 1 4
3 0 0
0 4 1
1 3 3
1 3 0
2 3 4
10 8
3 4 0
2 2 2
1 4 1
3 4 1
2 1 4
3 2 2
0 3 0
0 1 3
1 0 4
3 2 1
10 7
3 3 1
2 1 1
1 2 3
0 0 1
0 0 2
1 2 0
0 3 0
3 1 0
2 3 2
0 1 3
10 9
2 4 3
0 1 5
4 4 3
2 4 4
3 0 4
4 2 3
1 0 2
2 2 5
0 3 4
0 5 5
10 4
0 2 1
0 3 3
1 4 1
1 1 0
3 3 0
3 2 2
3 4 2
0 3 1
1 2 1
0 4 0
10 8
1 1 0
0 2 2
1 2 0
0 0 2
1 0 2
2 0 1
0 2 0
1 2 1
1 1 2
2 0 2
10 2
3 0 2
0 3 3
2 3 1
0 2 2
2 3 0
1 2 2
2 2 1
1 1 3
3 1 3
3 2 0
10 5
4 4 4
3 1 3
4 2 1
4 0 3
3 2 2
0 2 0
4 1 2
4 1 4
0 4 0
2 4 0
10 5
4 1 1
5 1 2
4 4 1
4 5 5
2 3 0
1 1 0
5 1 4
4 1 4
1 0 2
4 4 2
10 6
2 0 1
1 1 1
0 1 2
1 2 0
2 2 2
1 2 2
0 1 1
1 1 2
2 0 2
0 2 1
10 3
0 2 0
3 4 1
5 4 2
1 1 4
0 4 4
5 2 3
1 4 5
4 1 0
5 5 5
2 5 2
10 6
0 3 3
2 2 5
4 2 4
0 4 4
0 4 2
4 2 3
5 1 5
1 3 1
0 2 4
5 2 4
10 6
5 2 4
3 3 2
3 2 4
1 2 4
5 4 3
0 5 2
3 5 1
5 3 2
4 5 3
4 2 5
10 6
2 1 3
2 4 1
2 2 3
3 4 0
1 1 0
4 2 1
2 4 3
0 1 3
2 2 0
4 1 2
10 2
1 4 3
3 3 1
0 1 0
1 2 0
2 2 0
0 1 3
2 3 3
4 4 4
4 1 1
4 0 2
10 4
1 1 0
0 0 1
0 0 2
1 2 0
2 2 1
1 1 2
1 0 1
2 2 0
1 2 1
0 1 1
10 5
5 5 5
5 0 1
5 3 0
1 3 0
4 3 5
0 1 0
3 1 3
4 4 2
1 3 5
2 3 1
10 3
2 0 2
3 2 1
0 0 1
2 2 3
2 1 3
0 1 1
1 2 1
1 3 3
1 1 2
3 3 2
10 5
2 2 3
2 0 3
3 1 0
1 2 0
3 0 1
1 0 1
0 0 3
1 1 1
0 1 3
3 0 0
10 3
0 5 3
1 3 3
1 5 4
4 1 3
0 4 3
1 4 1
0 1 3
5 4 4
4 4 5
2 0 5
10 4
1 0 3
3 2 2
4 4 4
4 0 0
2 4 3
1 3 3
1 2 4
4 3 0
1 4 4
2 0 1
10 8
1 3 1
1 1 4
1 4 1
4 0 1
0 0 3
4 4 0
0 1 0
4 4 3
2 1 2
1 3 0
10 2
2 1 2
1 0 2
1 0 0
0 2 0
0 1 1
2 2 2
3 3 0
2 1 3
2 3 2
0 3 1
10 6
0 1 1
0 2 0
1 0 2
2 0 1
2 2 0
2 0 2
1 0 0
2 1 2
1 0 1
2 1 0
10 3
1 0 0
0 0 2
1 2 1
1 1 0
2 1 0
1 1 1
0 1 0
1 2 2
0 2 0
2 2 2
10 9
0 1 1
0 2 2
2 0 0
2 1 2
2 2 2
2 1 0
2 0 2
1 1 1
0 1 2
1 0 0
10 8
2 0 4
0 2 1
0 1 5
4 2 4
1 2 0
3 0 0
2 0 1
5 2 2
4 5 2
1 3 0
10 9
0 0 1
1 1 1
1 2 1
0 2 1
0 1 2
2 1 2
1 1 2
2 2 1
2 0 2
0 2 2
10 2
1 2 2
1 2 0
0 1 1
1 0 2
1 1 0
2 1 2
1 0 1
2 2 0
0 2 0
2 1 0
10 3
0 0 2
2 0 0
3 2 1
2 1 1
2 1 0
1 0 3
1 2 2
1 1 3
2 2 3
0 2 2
10 8
2 0 0
0 1 0
0 0 1
1 0 2
2 1 2
2 2 1
0 2 0
1 0 0
0 2 1
1 0 1
10 7
2 1 2
2 0 1
2 0 2
2 0 0
1 1 2
0 1 0
1 2 2
2 1 0
0 2 2
1 0 0
10 5
1 5 3
3 5 1
0 4 0
4 1 0
3 1 4
4 3 0
0 0 3
3 0 1
3 4 0
5 3 3
10 6
2 4 2
0 1 0
2 0 1
4 4 1
1 5 5
5 0 0
1 2 5
0 5 2
5 3 0
0 2 4
10 8
1 2 0
3 1 3
2 0 1
0 3 2
2 2 2
0 2 2
0 3 1
1 0 0
3 3 2
2 1 1
10 4
0 3 0
0 0 2
3 2 0
3 0 3
2 1 1
0 3 3
1 0 1
0 2 1
2 2 2
0 3 2
10 5
0 2 0
3 1 2
3 0 3
1 2 3
3 3 3
3 4 3
1 1 4
2 2 1
0 0 0
3 3 0
10 7
3 1 1
3 3 0
1 0 0
0 1 3
0 1 2
1 3 0
0 3 2
2 0 0
3 2 3
2 0 1
10 5
0 0 2
0 1 0
2 0 1
2 2 1
1 1 2
2 0 0
1 1 1
2 2 2
2 1 0
0 2 1
10 2
1 3 1
1 2 3
4 2 1
3 3 4
2 1 4
4 4 3
1 3 4
1 3 2
1 3 3
4 1 0
10 3
1 2 1
2 0 1
1 1 0
0 0 1
0 1 1
0 1 2
0 2 1
1 0 0
0 2 0
2 1 2
10 2
3 4 1
0 3 2
3 0 4
4 0 4
4 0 1
3 4 2
4 4 1
3 0 0
4 3 0
0 2 3
10 6
1 0 0
2 2 2
1 2 2
0 2 1
1 1 0
0 0 1
2 0 1
2 1 1
1 2 1
2 2 1
10 9
0 2 2
2 0 0
2 1 1
0 0 2
0 0 0
0 2 1
0 1 0
1 0 1
2 0 1
2 2 0
10 5
3 5 2
1 3 0
5 2 5
0 4 4
2 3 0
0 5 2
2 5 4
2 3 1
0 2 1
5 3 3
10 3
4 3 5
2 3 0
3 2 0
2 4 1
5 3 4
5 0 1
2 0 1
4 1 1
3 3 3
0 2 3
10 6
3 0 2
1 3 3
1 1 3
0 2 1
0 1 2
0 1 3
0 3 3
2 1 3
1 0 1
0 3 0
10 7
3 3 1
1 0 1
3 2 3
0 1 3
0 0 1
3 1 1
2 0 3
2 2 3
1 3 3
2 1 2
10 6
1 2 2
1 2 1
2 2 0
1 0 0
0 2 1
2 1 2
0 0 2
0 0 1
0 0 0
2 1 1
10 6
4 4 2
5 5 1
0 2 2
4 4 0
4 4 4
0 4 0
4 2 1
3 0 5
2 2 3
0 2 5
10 7
1 2 0
2 0 2
2 2 0
0 2 1
1 2 2
1 1 1
0 1 0
2 0 0
1 2 1
2 0 1
10 9
2 3 2
2 1 0
2 0 3
0 3 3
3 2 3
3 3 2
1 0 2
3 0 2
1 0 0
3 0 1
10 4
0 1 1
0 0 0
2 1 2
2 0 2
2 2 2
2 2 0
1 2 0
0 2 0
1 0 0
2 1 0
10 8
4 0 2
1 2 1
0 3 4
4 4 4
4 3 4
1 1 1
4 2 1
3 1 4
0 0 1
0 0 3
10 4
2 4 0
2 2 1
3 2 1
0 3 4
5 4 3
2 4 3
1 1 1
5 2 3
5 0 5
0 0 1
10 4
1 1 0
1 0 0
1 1 2
0 1 2
0 1 0
0 0 0
2 1 0
0 1 1
2 2 2
2 0 1
10 8
2 0 1
0 3 0
0 1 1
2 2 0
3 3 1
1 1 0
0 2 2
3 2 3
3 2 2
2 2 2
10 3
2 1 2
3 2 3
0 0 3
1 2 2
3 3 2
0 2 2
0 2 1
0 1 3
2 2 3
1 2 1
10 7
3 1 5
1 3 1
3 3 1
1 2 0
0 5 4
1 5 1
4 3 2
3 5 4
3 2 1
3 1 2
10 7
0 1 1
1 1 0
0 0 0
1 2 2
1 0 2
1 2 0
2 1 0
0 1 0
2 2 0
2 1 1
10 4
3 1 2
2 3 1
2 1 0
3 0 4
3 0 1
1 4 0
0 3 4
0 2 2
3 1 4
2 0 2
10 6
2 1 0
1 0 0
2 2 1
2 1 1
2 0 1
0 0 2
1 0 1
1 2 1
1 0 2
0 2 1
10 9
0 1 2
0 3 3
3 0 3
1 3 1
2 0 0
1 1 0
0 0 3
3 3 3
2 3 0
0 1 1
10 4
0 4 0
3 3 3
1 0 1
1 2 0
2 1 1
4 1 2
1 4 1
2 1 2
3 4 1
2 3 0
10 4
2 3 4
2 1 4
3 2 0
3 0 0
2 2 0
2 3 2
4 0 2
3 0 3
3 3 0
0 3 3
10 6
3 3 1
2 0 4
4 2 0
0 4 3
3 4 4
2 1 2
3 0 0
3 4 1
0 1 1
0 1 3
10 3
2 3 1
1 2 2
2 2 1
3 2 3
2 3 0
1 1 3
0 1 3
1 0 2
0 2 1
1 1 0
10 9
0 4 3
1 4 1
3 1 0
4 1 0
4 3 3
1 4 4
2 1 4
3 3 5
3 5 4
2 4 0
10 4
3 3 3
2 2 4
1 4 0
2 1 2
3 1 1
4 0 1
1 1 4
2 4 3
2 1 0
0 0 0
10 5
5 2 2
1 0 5
5 3 1
4 4 2
0 3 3
0 2 0
3 1 0
3 0 4
1 4 5
0 5 1
10 6
1 1 0
2 0 1
0 2 0
0 0 0
2 0 2
2 1 1
0 0 2
0 1 1
0 1 0
1 2 2
10 8
3 0 3
3 4 0
2 0 4
4 0 2
1 2 0
0 1 1
1 1 2
4 4 0
4 3 0
4 3 4
10 5
2 1 0
0 2 0
3 0 2
1 1 0
0 2 3
1 2 1
3 2 2
0 0 0
1 2 0
2 2 1
10 8
2 2 1
1 2 0
1 0 2
1 1 2
0 2 0
0 1 0
0 2 1
2 2 0
0 1 1
2 1 0
10 2
1 2 0
0 3 1
0 0 2
1 1 1
3 3 0
0 3 3
3 1 1
2 0 0
3 3 1
3 1 3
10 2
4 4 0
0 4 1
0 0 3
2 3 4
2 3 3
2 1 4
4 3 2
1 3 2
1 2 0
0 3 4
10 6
3 3 3
3 1 2
3 2 1
4 4 0
0 4 1
2 4 0
1 2 0
0 1 2
4 2 2
2 1 3
10 9
3 1 3
0 2 2
3 1 2
1 1 2
1 3 3
3 3 0
3 2 3
0 3 1
1 1 0
2 3 1
10 2
0 0 0
1 0 2
0 2 0
2 1 2
2 1 1
1 1 0
0 0 1
0 0 2
2 0 0
1 0 0
10 5
0 2 3
3 2 0
1 2 3
0 2 2
3 1 0
0 3 3
3 2 1
2 3 3
3 3 1
3 3 2
10 7
0 0 5
3 1 5
1 0 5
0 1 3
1 3 1
5 2 0
0 5 1
2 3 2
5 0 3
3 4 2
10 8
0 3 1
4 4 4
1 1 3
4 3 4
2 0 0
4 1 2
4 3 3
2 1 1
4 0 1
4 3 2
10 5
3 3 3
0 0 2
2 1 3
1 1 2
2 1 2
3 0 2
2 3 2
0 3 3
1 2 1
1 1 1
10 3
1 2 3
2 2 4
2 2 1
2 1 5
3 2 4
3 2 0
5 3 5
5 5 3
1 4 3
3 2 1
10 2
4 1 3
3 2 3
0 2 4
4 2 1
2 4 0
2 0 2
0 4 4
4 3 1
4 4 3
0 3 3
10 9
2 2 2
1 2 1
3 1 0
2 2 1
3 1 3
1 1 0
1 2 0
0 0 3
1 2 3
2 0 2
10 8
0 2 3
1 2 0
3 2 2
0 3 2
2 1 1
2 1 3
3 1 0
3 3 2
0 2 0
0 3 0
10 6
2 2 1
1 2 0
1 0 0
1 0 1
2 3 1
2 0 1
3 1 0
2 1 0
0 1 1
2 2 3
10 6
0 3 3
0 2 3
0 3 0
2 1 4
0 1 0
3 4 3
0 3 2
4 2 4
3 2 1
2 4 0
10 7
0 3 2
0 2 3
1 3 0
2 0 2
0 2 0
3 2 0
1 3 2
2 1 0
2 3 1
0 1 3
10 2
2 0 4
0 0 2
2 4 1
3 1 0
2 3 4
0 2 4
1 2 2
1 0 0
3 2 2
1 1 4
10 3
2 1 1
0 2 1
1 1 0
1 2 1
0 1 2
1 2 0
2 2 0
0 1 1
2 0 1
0 0 0
10 5
1 2 1
0 1 2
4 2 4
4 0 0
0 3 0
1 3 1
5 5 1
2 0 0
0 0 5
1 5 1
10 5
0 4 2
0 4 1
3 2 3
0 1 0
0 0 0
3 4 1
0 2 2
2 1 0
1 1 0
0 4 3
10 8
0 2 0
1 0 0
1 0 2
2 2 0
1 2 1
1 1 1
0 1 1
1 2 0
2 1 1
0 0 0
10 9
3 0 0
5 4 3
5 0 0
1 0 2
5 1 1
2 4 5
1 2 4
4 5 4
0 1 3
3 3 4
10 4
0 2 2
0 2 0
2 0 1
0 0 2
2 1 1
1 2 0
0 1 1
2 1 0
0 0 0
1 2 2
10 6
1 3 1
3 4 3
3 3 4
2 1 1
4 1 0
0 3 1
2 4 0
2 3 1
2 2 1
0 4 2
10 8
0 1 0
0 0 2
0 0 0
2 2 1
2 2 2
1 0 0
0 2 1
2 1 0
1 1 2
0 1 2
10 3
1 1 2
0 0 1
0 1 2
2 2 0
2 1 2
0 2 0
0 2 1
0 1 0
0 2 2
1 2 0
10 7
2 0 5
5 1 0
4 5 2
4 1 2
3 4 5
0 2 1
5 1 3
5 0 1
3 1 3
2 2 1
10 9
0 1 2
2 1 0
2 2 3
0 2 3
3 0 0
1 3 0
2 3 3
0 0 3
0 2 1
1 0 0
10 2
4 4 4
4 4 0
0 3 2
0 0 1
4 2 1
2 3 1
4 4 3
4 1 1
0 0 2
4 3 1
10 7
2 0 0
0 1 2
1 0 1
2 1 1
1 1 2
1 2 1
0 0 1
0 1 0
0 1 1
2 0 1
10 5
2 2 1
1 0 3
2 2 2
1 2 1
2 0 3
1 2 2
3 2 1
0 1 0
0 0 1
1 1 3
10 6
5 3 1
5 5 1
4 5 1
4 2 1
2 0 5
3 5 0
4 1 4
2 0 2
4 5 2
0 5 2
10 4
2 4 0
1 4 2
0 1 0
0 0 1
0 4 0
3 2 1
4 2 3
1 1 1
3 0 0
2 2 4
10 9
4 3 2
0 3 0
0 1 3
3 1 0
2 0 1
1 4 0
0 4 0
1 0 4
2 1 2
4 2 0
10 5
2 2 2
0 2 0
2 0 2
0 2 2
2 1 2
1 1 0
0 0 0
1 2 0
2 1 1
1 2 2
10 3
1 2 0
1 0 0
2 1 1
2 1 2
2 2 1
0 1 0
2 0 1
2 2 2
2 0 2
1 2 2
10 9
4 4 1
2 0 2
2 1 1
3 0 4
3 0 1
4 0 3
4 3 3
0 3 2
1 0 4
3 3 3
10 2
2 1 0
2 2 0
1 1 0
2 0 1
1 0 0
2 0 2
1 2 0
1 0 2
1 1 1
2 2 1
10 2
4 5 2
4 2 3
3 2 0
2 3 3
5 3 0
2 4 4
3 2 4
4 1 1
5 2 0
3 3 2
10 9
0 0 0
3 3 5
2 4 4
4 1 3
1 5 4
1 3 1
2 5 3
0 4 5
1 5 3
3 3 1
10 4
0 1 1
2 0 2
2 2 0
0 1 0
2 0 0
1 1 2
1 2 0
2 1 0
0 2 2
1 0 1
10 2
1 4 3
2 2 2
0 2 1
4 4 0
1 2 3
4 3 1
0 1 4
4 1 0
1 4 0
3 3 2
10 3
1 3 2
3 1 0
1 3 0
2 2 2
3 2 1
1 2 1
3 0 1
1 3 3
3 1 3
0 3 3
10 5
0 4 3
0 4 4
0 0 2
3 3 2
2 3 3
2 1 0
4 0 0
1 0 0
0 3 3
4 3 2
10 3
1 2 4
4 1 1
3 2 2
3 4 4
0 2 0
3 3 1
2 2 2
1 1 3
2 1 3
1 3 3
10 6
0 0 2
2 1 0
0 2 1
2 2 1
0 0 1
1 1 2
0 1 1
2 0 1
0 1 2
2 1 2
10 3
2 0 1
1 2 2
0 1 1
1 2 0
1 1 0
3 0 3
0 2 1
1 1 3
2 1 0
3 3 0
10 2
3 2 4
3 3 0
4 1 4
1 5 0
5 4 0
5 5 1
4 4 0
4 4 4
0 4 0
4 0 2
10 4
1 1 0
1 0 0
1 1 3
2 3 1
2 2 2
1 2 2
1 3 3
0 2 1
2 1 1
2 0 2
10 4
4 4 4
2 4 4
3 0 1
1 3 1
3 1 0
3 3 0
0 3 2
4 3 1
1 3 2
2 2 4
10 6
2 0 0
0 2 0
2 1 0
1 0 2
1 1 2
1 2 2
0 1 0
0 1 1
1 2 1
2 2 1
10 7
1 3 3
1 4 0
1 2 2
3 4 2
1 1 1
4 4 0
3 4 1
0 3 1
1 3 2
4 4 2
10 8
1 2 1
0 1 2
1 0 2
2 1 2
1 0 0
1 2 0
1 0 1
2 2 0
1 1 0
0 0 0
10 8
3 3 0
3 3 3
1 2 3
3 2 3
0 3 1
3 3 2
2 3 0
0 0 0
3 0 3
0 1 0
10 6
4 2 2
3 3 4
4 4 4
3 1 3
1 0 4
2 2 1
4 2 0
1 2 3
0 2 0
4 2 4
10 7
2 1 2
0 3 0
1 1 3
0 0 2
2 0 0
1 1 0
1 2 2
3 3 3
1 0 1
1 3 2
10 7
3 1 2
1 0 0
3 3 1
0 3 0
2 1 2
3 2 2
0 2 0
0 1 2
1 0 1
1 0 2
10 3
2 1 3
2 2 4
0 2 1
4 3 4
4 1 1
3 1 0
1 3 1
0 3 3
3 3 3
4 2 4
10 9
2 1 2
2 1 0
1 0 1
1 0 2
1 2 2
2 2 2
0 1 2
2 0 1
2 0 0
0 0 0
10 8
0 1 0
2 0 0
0 0 1
2 2 2
1 2 1
0 2 1
0 2 2
2 0 2
2 1 0
1 1 2
10 3
1 0 1
2 1 0
1 1 2
2 1 2
3 3 0
3 2 1
0 3 1
0 1 2
3 2 0
2 0 3
10 9
2 4 0
3 2 3
4 0 4
4 4 4
0 0 1
3 4 1
4 0 2
2 2 3
4 2 4
0 4 1
10 9
4 3 4
0 4 0
2 0 3
3 4 0
3 4 1
0 4 4
0 4 3
1 0 0
4 1 3
3 4 3
10 3
2 1 3
3 3 0
0 3 3
2 1 1
1 2 2
1 3 1
3 0 2
3 1 1
2 2 3
3 0 1
10 8
3 3 2
1 0 2
1 0 3
1 4 1
1 0 1
3 3 4
3 4 3
0 2 3
0 0 1
1 3 4
10 4
2 0 1
0 0 3
2 0 2
2 2 1
0 3 2
0 2 1
1 2 1
2 3 0
3 3 0
2 1 1
10 5
2 2 0
1 2 2
1 0 2
0 2 2
2 1 0
2 2 1
0 0 0
2 1 2
1 0 1
2 0 0
10 5
2 4 0
2 0 4
4 3 1
3 3 2
0 4 1
3 1 1
4 1 0
2 2 0
2 2 2
4 0 2
10 4
2 0 2
1 1 0
1 1 1
2 1 0
0 0 2
0 1 1
1 2 2
1 1 2
1 2 0
2 2 2
10 9
0 1 3
4 2 4
1 1 1
2 2 2
2 4 0
4 1 0
0 4 2
2 5 5
4 1 3
3 5 5
10 7
4 2 3
4 0 4
2 0 1
0 3 2
2 1 0
1 4 0
1 0 2
1 4 1
2 3 3
1 0 0
10 8
5 5 5
1 3 3
0 0 0
1 4 2
5 2 0
0 1 5
3 3 3
4 0 5
3 5 2
4 1 4
10 6
4 5 4
0 4 2
0 3 3
0 2 1
3 5 3
1 4 2
0 3 4
4 4 4
0 3 1
0 4 0
10 8
1 0 1
2 2 2
2 0 2
0 1 2
1 2 2
2 1 2
1 0 2
0 1 1
1 0 0
1 1 2
10 8
2 1 1
2 2 2
2 2 1
0 0 2
2 1 2
2 1 0
1 2 0
1 2 2
0 0 0
1 2 1
10 3
0 3 0
1 2 1
1 1 1
2 0 0
0 1 1
0 2 1
0 2 2
0 1 3
2 3 3
3 3 1
10 9
2 3 3
1 3 1
1 2 2
3 3 2
1 3 2
2 2 2
2 1 3
2 1 0
2 2 3
1 1 2
10 5
0 0 1
1 1 3
0 3 3
2 0 1
1 2 3
3 1 1
0 3 0
0 0 2
1 3 1
0 1 0
10 9
2 1 2
1 2 1
1 3 0
1 1 4
0 3 4
0 0 2
1 0 3
0 2 2
2 3 3
1 2 2
10 2
4 1 4
0 3 4
5 1 3
1 3 3
0 4 0
3 2 1
4 2 3
4 4 4
3 0 1
3 0 2
10 3
1 1 1
2 1 1
0 0 1
2 1 2
2 0 0
0 0 0
0 1 2
2 1 0
1 1 0
2 2 0
10 8
5 4 5
3 0 1
0 4 0
4 3 5
2 4 3
4 3 0
1 2 1
3 0 2
3 4 3
1 1 1
10 6
0 3 3
2 3 0
2 5 4
2 3 5
2 1 1
2 1 3
5 2 0
0 4 0
1 0 2
1 2 4
10 6
3 1 0
4 4 4
1 0 2
0 5 4
5 5 5
5 2 2
3 3 1
3 2 0
4 3 1
4 3 2
10 5
0 0 0
0 2 4
2 3 3
1 2 3
4 1 4
3 2 1
0 3 2
0 2 0
0 1 3
2 4 4
10 4
4 2 1
4 1 2
5 1 4
4 3 2
4 1 4
0 3 1
4 4 1
3 4 1
0 4 4
1 0 4
10 4
2 0 3
1 4 4
4 0 4
1 1 3
0 0 1
1 2 3
4 4 2
3 2 0
3 3 1
1 0 1
10 2
3 4 5
1 2 1
3 2 4
4 3 5
1 0 1
0 0 4
0 1 4
3 2 1
2 2 2
2 0 0
10 9
2 0 0
0 1 1
0 2 2
1 2 1
1 1 2
2 1 0
0 1 2
2 0 2
2 2 2
0 1 0
10 5
1 0 0
1 0 2
0 1 1
2 1 0
2 2 2
2 2 0
1 1 2
2 0 2
1 1 0
0 1 0
10 2
0 1 0
2 0 2
2 1 0
2 2 2
1 2 1
0 2 0
2 1 1
0 1 2
0 0 0
2 0 0
10 4
2 0 1
0 2 2
0 0 2
0 1 1
0 0 1
2 1 1
0 1 0
1 0 0
0 2 1
1 2 1
10 6
3 3 2
4 0 3
2 2 3
0 1 4
2 0 4
4 3 2
1 2 0
0 3 2
2 2 4
3 2 3
10 4
5 0 2
5 4 5
2 4 5
4 2 3
3 4 1
4 2 5
0 0 1
4 3 1
4 0 0
5 5 2
10 5
4 4 3
3 4 3
3 4 2
2 3 0
3 3 1
0 1 3
2 0 2
1 2 2
4 4 1
4 2 4
10 6
4 0 3
1 1 1
0 3 0
5 0 5
2 4 2
4 5 4
1 1 4
0 4 0
5 2 0
4 1 4
10 3
2 2 3
3 1 2
0 3 2
2 1 2
4 4 3
0 2 0
3 1 1
2 4 2
3 2 0
3 4 4
10 3
3 4 2
0 4 3
0 1 1
0 0 1
0 4 1
1 2 3
0 1 2
1 3 3
0 0 0
4 4 3
10 7
0 1 3
3 2 0
1 3 0
1 3 3
2 1 1
2 2 0
3 3 2
2 3 2
0 1 0
3 1 3
10 7
2 0 1
3 2 2
3 3 2
2 0 2
2 2 2
3 1 2
3 1 1
0 1 2
3 3 0
2 3 2
10 5
2 0 5
2 1 1
0 1 5
1 2 5
1 5 3
2 2 2
3 1 2
0 4 3
4 2 3
5 3 4
10 7
1 2 2
1 1 0
2 1 2
0 1 1
2 2 0
1 0 0
2 0 2
1 2 1
1 1 2
2 2 2
10 6
2 2 4
2 2 1
5 2 5
1 1 0
1 5 2
2 0 4
3 2 0
4 0 2
1 5 1
5 0 0
10 5
0 1 2
2 0 0
1 2 0
1 0 1
0 0 1
2 1 0
2 0 2
0 0 0
0 2 2
2 2 2
10 2
1 0 1
3 1 0
0 0 2
2 3 3
3 0 0
3 0 2
1 3 2
1 2 3
0 0 0
1 1 3
10 7
2 2 3
0 1 3
1 0 3
3 0 3
0 3 3
3 1 1
1 1 2
2 2 0
2 1 2
3 1 3
10 8
2 2 0
0 2 0
0 1 1
1 0 0
2 1 0
0 0 1
1 1 0
1 1 2
2 0 0
0 0 0
10 6
0 5 4
1 4 2
5 4 5
1 0 0
5 2 3
1 4 4
3 1 2
3 5 2
1 1 2
4 3 4
10 7
5 0 5
2 0 5
2 2 5
2 2 1
4 2 5
3 1 3
5 3 4
3 3 3
2 5 1
4 3 5
10 3
0 4 0
4 5 3
1 2 3
5 3 3
3 1 5
3 1 0
1 0 2
2 1 2
0 4 5
3 4 4
10 8
0 1 2
2 2 0
2 1 1
0 0 2
0 0 1
0 1 0
0 0 0
2 1 2
0 2 2
0 2 0
10 4
2 1 2
0 1 3
3 3 2
1 3 2
2 2 0
1 1 1
2 2 2
3 0 1
3 0 0
0 3 3
10 3
0 0 1
1 0 1
0 1 2
2 0 0
1 2 0
1 0 0
2 2 2
1 2 1
0 2 0
2 0 2
10 8
0 1 1
3 2 4
1 2 4
0 0 3
0 4 0
1 3 1
3 4 3
2 2 2
3 4 2
4 4 2
10 3
2 1 1
4 3 3
3 1 1
2 0 1
3 3 3
2 1 3
1 1 2
1 4 2
0 2 2
2 4 0
10 6
2 4 4
0 1 3
2 4 0
2 3 3
0 3 2
4 3 0
4 3 4
0 2 2
0 0 4
2 3 2
10 9
2 0 1
0 1 0
0 2 3
1 1 2
0 0 2
0 1 2
1 2 2
3 2 3
2 1 2
3 3 3
10 5
0 0 3
1 1 1
2 0 1
3 1 3
0 3 1
1 0 3
2 0 2
2 0 3
1 3 2
3 0 1
10 4
0 0 2
0 2 0
0 1 0
0 2 1
2 1 0
0 1 1
1 0 0
0 0 1
1 0 1
2 0 1
10 6
0 2 0
2 0 2
2 0 1
2 0 0
1 0 1
1 1 0
1 2 1
0 1 0
2 1 1
0 2 2
10 7
3 4 0
2 4 1
0 3 0
1 1 2
1 1 0
3 2 0
2 1 1
2 3 0
2 1 4
4 0 2
10 3
1 2 1
1 0 1
1 2 0
0 0 2
1 2 2
0 2 2
0 1 0
1 1 0
2 0 1
1 1 2
10 6
2 1 2
1 0 2
0 1 2
2 2 0
1 1 2
0 2 0
2 0 2
2 2 2
0 2 2
0 0 1
10 5
0 3 2
2 2 2
1 2 1
0 2 2
2 2 0
0 3 3
0 2 0
3 0 0
2 0 1
3 3 3
10 4
5 5 3
3 4 0
4 1 5
0 4 0
4 5 3
0 1 2
0 1 5
2 5 5
5 1 4
3 1 2
10 9
4 4 4
4 1 2
1 0 2
3 1 2
3 3 2
3 2 0
3 4 4
1 2 0
4 3 3
3 3 0
10 7
1 2 0
2 1 1
2 2 0
1 1 2
1 1 0
0 1 1
1 0 0
0 2 1
2 0 1
0 2 0
10 4
2 0 1
1 1 1
1 1 0
2 2 2
1 2 1
1 2 2
0 2 0
0 0 1
0 0 2
2 1 2
10 7
0 3 1
3 0 3
1 1 1
1 0 1
2 1 3
3 2 2
0 3 3
3 3 1
1 3 3
1 0 2
10 3
4 4 2
3 3 3
1 3 3
2 0 1
2 4 0
3 2 2
3 3 1
1 4 4
2 3 3
4 0 1
10 4
1 1 2
1 3 0
3 3 2
3 2 1
2 3 0
0 0 0
0 1 1
2 0 3
0 3 2
2 2 0
10 6
2 2 2
3 0 1
1 0 0
0 0 3
1 2 1
2 2 0
0 2 1
2 3 1
1 0 1
0 3 2
10 3
2 2 0
2 0 1
1 0 1
0 1 0
0 0 2
1 1 2
1 0 0
0 0 1
2 2 2
2 0 0
10 3
0 1 2
2 1 1
2 2 2
0 2 2
1 0 0
1 0 1
1 1 1
2 1 0
0 2 1
0 1 0
10 5
1 3 4
3 4 3
4 0 2
4 3 4
3 2 3
0 3 3
1 0 0
1 1 4
0 3 4
0 1 3
10 4
4 4 5
1 3 1
2 3 1
1 0 5
4 4 4
4 2 2
5 0 1
2 2 3
3 3 1
1 5 1
10 3
2 1 2
1 0 0
1 0 2
1 2 2
0 0 2
0 2 1
2 0 2
1 2 0
1 1 2
0 0 1
10 2
1 2 0
2 1 2
0 4 2
1 4 4
1 1 0
1 0 0
0 1 4
1 2 3
4 0 0
4 0 1
10 3
3 2 1
1 2 0
3 1 2
2 3 3
3 2 3
2 2 3
1 0 3
2 1 3
0 2 2
0 0 1
10 3
2 3 4
4 4 2
2 2 4
1 3 0
0 2 0
1 3 4
1 0 0
1 4 0
0 3 0
3 0 1
10 5
1 0 2
2 2 0
0 1 2
2 1 0
0 0 0
0 0 2
1 1 0
1 2 0
0 1 0
0 2 2
10 2
1 2 2
0 0 2
0 2 2
2 0 0
1 0 1
2 1 2
0 0 1
1 0 0
0 1 1
0 1 2
10 5
0 2 0
3 1 3
5 1 3
5 1 2
4 4 5
5 3 0
0 3 0
3 3 5
2 1 0
1 2 1
10 5
2 0 0
0 0 0
3 3 1
0 1 1
2 2 1
2 2 0
0 2 3
3 2 3
2 1 3
1 2 2
10 4
1 1 2
1 3 2
0 0 1
2 0 0
3 3 2
0 1 3
0 0 3
1 3 0
3 2 0
2 0 1
10 6
0 1 3
2 1 1
1 0 3
2 1 0
3 0 0
3 1 3
2 1 3
2 2 2
1 1 0
2 3 2
10 6
2 2 4
0 2 1
2 2 3
2 1 4
4 4 2
3 0 2
2 2 1
4 1 4
0 1 0
1 1 1
10 2
1 0 3
0 0 1
2 0 3
1 3 2
2 2 1
2 2 2
1 0 1
2 2 0
1 1 0
1 2 0
10 2
1 4 2
0 0 0
0 2 4
2 5 2
3 0 3
2 3 5
1 2 4
2 5 3
0 2 3
1 4 1
10 4
1 0 2
3 3 3
1 3 0
0 1 2
3 3 2
0 3 1
2 2 3
1 2 2
3 0 0
3 0 1
10 9
3 1 0
1 3 1
3 1 3
3 2 0
1 1 3
1 0 1
1 1 1
1 1 2
2 0 1
2 3 0
10 2
1 5 2
0 4 5
3 0 5
3 3 0
4 4 0
2 0 0
4 2 3
4 2 1
0 0 0
1 5 3
10 9
1 1 3
0 3 2
2 4 0
4 4 3
2 2 0
1 4 2
4 4 2
3 0 2
2 3 0
3 1 3
10 8
0 0 2
2 1 1
2 2 0
0 2 2
2 0 2
0 2 1
1 1 2
2 0 1
0 1 0
0 0 0
10 6
3 4 0
4 4 4
4 5 2
0 2 2
4 2 0
2 5 5
1 1 0
4 4 5
0 4 2
1 3 2
10 6
3 0 1
2 1 2
0 0 3
1 0 1
0 2 2
1 3 3
0 1 2
0 2 0
3 0 0
0 3 2
10 3
1 2 2
3 3 2
3 3 0
3 0 0
1 3 3
1 0 2
2 2 0
2 1 1
0 2 3
1 0 3
10 4
0 1 0
0 1 2
1 1 1
2 1 2
1 2 0
2 1 1
2 0 2
2 0 1
2 1 0
1 0 2
10 6
4 3 1
1 4 0
0 1 1
0 4 3
1 0 2
0 3 2
2 4 4
1 2 1
4 2 4
0 3 4
10 8
1 4 4
2 0 3
0 3 4
1 0 0
1 2 4
1 2 2
1 1 2
0 2 2
2 0 2
1 4 1
10 8
1 0 2
2 2 0
2 0 0
1 0 1
1 2 2
0 0 0
2 1 1
2 2 2
1 2 0
0 0 1
10 8
3 1 2
2 4 1
1 4 4
4 1 2
0 4 1
1 1 4
3 0 0
1 1 0
3 3 4
0 2 4
10 4
2 1 3
0 2 5
2 5 5
4 2 3
3 0 3
3 3 2
3 3 0
3 0 4
2 0 0
2 0 2
10 3
2 0 1
3 4 4
4 2 4
2 2 1
3 1 4
1 2 4
3 3 1
4 0 1
0 4 3
2 0 4
10 5
3 5 2
0 5 2
0 2 5
3 2 4
0 1 5
4 2 0
3 1 1
3 3 4
1 0 2
2 0 3
10 3
0 2 0
1 5 0
1 3 4
0 3 2
2 5 5
2 2 2
4 4 3
5 0 0
1 0 2
0 5 0
10 7
3 5 3
0 4 2
0 1 4
1 0 0
5 2 3
1 4 1
2 1 4
2 5 2
3 3 4
1 1 4
10 8
0 1 0
0 1 1
1 2 0
0 2 1
1 1 2
0 2 0
2 2 0
1 0 0
2 0 0
0 2 2
10 7
0 2 1
2 1 1
2 2 1
1 1 2
0 2 2
0 1 2
1 1 0
0 0 2
0 0 0
1 2 0
10 3
1 1 2
1 0 2
0 2 2
0 0 1
2 2 2
2 0 1
0 1 0
0 2 1
2 0 2
0 0 0
10 5
2 4 3
2 2 4
4 0 0
1 0 2
5 5 2
0 0 3
2 0 2
2 1 2
1 2 1
3 0 3
10 4
3 2 3
3 3 4
5 1 3
1 4 0
1 5 4
3 3 0
3 1 0
1 1 5
1 1 0
5 1 1
10 5
3 1 0
3 2 2
3 1 4
4 2 1
2 1 1
0 0 3
3 4 2
2 3 2
2 2 3
2 4 1
10 7
1 1 2
3 1 0
2 1 3
3 1 3
1 2 3
3 0 3
1 3 0
3 0 1
3 3 0
3 3 3
10 9
0 2 0
1 1 0
2 2 2
1 2 1
0 1 2
1 0 0
2 1 2
1 0 1
2 1 0
2 0 0
10 7
2 1 4
3 4 2
3 2 4
0 3 3
3 0 3
4 2 1
4 3 1
3 1 2
0 4 4
3 3 3
10 8
1 0 0
0 0 1
2 1 1
2 2 2
2 0 1
1 0 1
0 1 2
0 0 0
0 2 2
0 0 2
10 7
0 3 0
0 3 2
3 0 0
3 0 1
0 2 0
1 1 3
0 3 3
0 1 2
0 1 1
3 1 3
10 5
2 0 0
2 2 2
1 0 2
1 2 1
1 0 0
0 2 0
2 0 1
0 1 2
0 0 1
1 0 1
10 7
4 3 2
5 3 1
3 1 3
5 1 2
1 5 5
0 5 1
5 4 1
2 4 2
3 4 3
1 1 4
10 8
0 5 4
4 2 2
2 2 3
4 5 1
1 1 2
0 3 2
3 1 1
2 1 2
4 2 4
2 3 5
10 6
0 1 2
1 0 0
0 1 0
2 0 0
2 0 1
2 2 1
0 2 1
1 2 2
1 1 1
1 2 0
10 9
2 0 3
3 2 3
1 3 3
1 2 3
3 1 0
0 3 1
2 2 2
3 0 1
3 3 0
1 0 2
10 5
4 0 0
4 4 0
3 3 2
3 2 2
4 4 3
0 1 2
2 2 0
3 3 1
0 2 3
2 3 1
10 6
3 3 1
4 4 1
1 4 2
4 2 1
1 2 2
2 3 3
1 3 4
2 0 0
0 4 1
3 0 0
10 9
3 3 2
3 2 0
2 3 0
0 3 2
2 1 0
0 2 3
0 0 0
2 3 1
3 1 0
3 0 1
10 7
1 1 1
0 0 2
1 0 1
0 0 0
0 2 1
2 0 1
1 0 2
1 2 1
1 1 0
2 0 0
10 9
4 2 0
2 1 4
0 1 3
0 2 4
3 2 4
2 0 4
2 1 2
2 3 3
3 1 4
2 2 0
10 6
0 1 2
2 0 0
1 2 0
2 2 0
1 0 2
2 0 2
0 2 1
0 0 2
2 2 1
1 1 2
10 8
3 1 0
3 1 3
5 2 5
1 5 1
3 4 4
5 4 1
0 1 1
1 5 5
4 3 4
4 0 3
10 7
1 3 2
1 0 3
0 3 0
0 2 0
2 1 4
0 4 2
4 0 4
4 4 4
4 4 3
2 1 0
10 9
0 0 4
0 5 4
5 3 4
0 4 1
4 2 2
4 5 0
4 3 0
2 1 2
2 3 3
2 2 4
10 4
2 2 1
2 0 3
3 2 3
0 3 0
0 1 3
3 0 2
3 1 2
2 3 0
0 2 0
2 1 2
10 4
1 1 1
1 0 0
1 2 0
1 2 2
0 1 0
2 0 2
2 2 2
0 2 1
0 1 2
0 2 2
10 3
0 0 3
2 2 3
4 2 0
4 2 4
1 2 3
1 3 4
0 3 3
0 1 4
0 3 1
1 1 0
10 8
4 5 4
3 4 1
3 5 0
3 5 1
4 4 0
2 0 1
5 0 2
4 0 5
1 5 3
1 2 5
10 9
0 0 0
1 1 1
1 2 1
1 1 0
1 2 0
2 0 1
0 1 1
0 2 1
2 2 1
1 0 2
10 8
1 0 0
0 0 1
1 2 0
1 2 3
0 0 2
3 2 2
2 2 0
3 1 3
1 0 1
2 1 1
10 6
1 2 1
2 3 3
2 1 1
0 3 3
2 2 1
2 2 0
1 3 0
2 0 1
1 1 3
1 0 2
10 5
5 4 4
3 2 5
2 2 5
4 1 5
3 5 2
4 0 2
0 1 1
4 4 3
2 2 4
4 4 1
10 6
2 2 4
3 2 1
3 1 0
0 2 0
1 2 3
3 1 1
1 0 2
2 2 1
1 2 1
0 2 1
10 3
2 0 1
0 1 0
0 2 1
2 1 2
0 1 1
0 0 0
0 0 2
1 2 2
1 1 1
2 0 2
10 4
0 2 2
4 1 2
4 2 2
3 4 3
4 3 4
4 2 1
0 3 4
4 0 4
3 4 1
3 1 3
10 2
3 2 3
1 2 2
3 2 1
2 1 1
0 2 0
2 0 1
0 1 1
3 0 2
1 1 0
2 2 3
10 6
0 0 1
2 0 0
0 3 3
2 2 3
1 0 1
1 0 0
3 3 3
1 2 3
2 0 2
1 2 0
10 8
1 2 1
2 0 0
0 0 0
1 0 0
0 1 0
2 1 0
1 0 1
2 2 0
2 1 1
1 2 2
10 5
0 0 0
3 4 1
3 3 4
2 2 5
4 4 2
3 5 4
2 3 1
0 1 5
4 0 3
2 2 2
10 2
1 2 0
1 2 1
2 0 1
0 0 1
2 2 0
2 1 2
2 1 1
1 2 2
0 1 0
0 2 0
10 8
1 1 2
2 1 2
1 2 1
0 0 0
1 1 0
1 2 0
0 0 2
0 1 1
1 1 1
2 2 0
10 4
3 5 3
0 0 1
4 5 0
4 5 3
1 1 5
2 0 2
3 3 1
4 5 5
1 4 2
0 4 5
10 4
0 1 1
1 1 2
0 0 0
2 1 1
0 2 0
0 2 1
2 0 0
0 0 1
2 2 0
1 0 0
10 3
1 4 0
3 2 3
2 3 1
3 4 2
0 4 0
0 2 4
1 4 4
1 1 4
4 3 0
1 4 2
10 4
5 1 0
5 0 3
0 1 4
0 5 5
5 4 1
3 4 3
3 5 2
5 2 0
5 5 3
0 5 3
10 8
5 0 1
3 1 2
5 2 2
4 2 5
0 0 3
1 5 5
2 2 4
3 1 0
3 4 4
2 0 1
10 3
2 5 1
2 3 0
1 5 1
5 4 0
3 4 2
1 0 1
4 3 3
0 0 1
4 1 1
3 4 1
10 4
2 1 1
1 5 0
0 1 1
3 5 2
3 2 5
4 5 3
0 2 1
3 1 2
1 4 2
5 2 4
10 2
2 1 3
3 3 2
1 1 1
2 0 2
1 1 3
2 3 1
1 0 2
3 1 1
1 2 1
0 0 1
10 6
0 3 2
1 1 2
0 1 2
3 3 3
0 0 0
0 3 0
3 1 2
0 1 3
3 2 3
1 1 0
10 8
3 0 0
1 4 0
2 2 4
4 2 1
4 2 2
3 3 3
4 1 2
0 3 3
2 4 2
4 3 0
10 7
2 2 1
2 2 2
1 0 1
2 1 1
2 1 0
1 0 2
2 0 1
0 1 1
1 1 2
1 2 0
10 9
2 2 2
0 3 1
1 2 2
1 3 1
2 0 1
2 1 2
0 3 0
0 0 2
1 1 3
0 0 3
10 3
3 3 3
3 3 4
1 3 3
4 4 4
0 0 0
0 2 1
0 0 4
2 0 3
4 4 2
1 0 1
10 9
2 0 4
3 3 1
0 3 0
0 2 1
3 4 0
0 3 2
4 4 4
2 4 1
3 2 3
4 1 0
10 5
4 5 1
2 4 0
1 4 3
4 3 5
2 5 2
2 2 0
3 4 0
1 5 0
1 0 5
4 5 2
10 5
4 3 1
1 0 3
3 4 0
3 4 4
1 0 1
4 0 1
1 3 1
4 2 3
1 2 4
0 4 0
10 9
4 5 0
1 5 2
2 3 1
4 4 0
0 1 4
3 1 3
5 5 4
1 1 3
4 5 5
3 2 3
10 7
0 2 0
3 2 3
2 3 3
1 0 1
3 2 1
0 3 0
0 1 1
1 1 2
0 2 3
2 3 0
10 2
2 2 2
0 0 2
2 1 0
1 1 0
0 3 3
2 3 2
3 0 2
0 2 2
2 0 2
2 3 0
10 7
1 3 0
2 1 0
2 0 3
1 1 4
3 1 3
2 3 4
2 1 3
0 0 4
4 4 1
0 4 0
10 5
0 0 1
0 4 4
0 1 0
0 2 3
4 1 1
3 0 1
2 1 3
1 1 0
2 1 0
4 1 0
10 8
3 2 0
3 2 2
1 2 2
2 0 0
3 3 2
3 0 0
1 1 0
2 3 0
3 0 1
2 0 1
10 4
0 0 4
1 4 3
1 2 2
1 4 0
2 4 1
4 2 2
3 4 1
3 3 2
2 4 3
4 2 1
10 7
4 1 0
1 5 0
1 2 2
1 5 3
0 4 5
0 4 0
2 4 4
1 0 4
3 0 0
4 1 5
10 3
2 3 2
2 0 0
0 1 0
0 1 3
3 0 2
3 1 0
2 1 1
1 2 0
1 0 3
1 0 2
10 8
2 0 1
2 1 2
0 1 0
2 2 1
2 2 2
0 1 2
1 0 2
0 2 0
0 0 2
0 0 1
10 6
1 1 2
0 3 2
1 3 2
1 3 1
3 3 1
0 1 3
1 0 1
0 3 1
1 1 1
3 0 1
10 3
1 1 0
2 1 1
2 2 2
0 0 1
0 0 0
0 2 1
0 2 0
2 1 2
0 1 0
2 1 0
10 7
1 0 3
0 1 2
3 2 4
0 4 2
2 4 3
4 3 2
4 0 2
4 2 1
2 3 1
0 2 1
10 8
1 1 3
3 3 3
3 3 1
3 0 2
1 1 2
0 1 0
0 3 1
0 0 0
2 1 2
1 0 3
10 4
3 3 0
4 5 0
2 3 5
0 1 4
3 5 3
3 3 1
4 4 1
0 3 1
1 3 3
1 4 1
10 8
1 3 2
3 3 1
2 0 0
2 2 3
0 3 3
3 3 2
3 0 2
0 1 1
0 1 0
2 1 1
10 2
1 1 2
0 0 4
3 3 2
1 4 3
3 3 4
1 4 0
2 4 2
3 0 1
0 4 3
2 1 3
10 8
0 0 0
1 0 1
2 1 2
1 1 2
1 1 0
2 0 1
1 0 0
1 1 1
2 2 0
0 2 1
10 3
1 3 2
3 1 2
3 0 0
0 2 0
0 1 1
1 1 2
0 3 1
2 3 1
1 0 0
2 2 3
10 6
0 3 3
1 3 2
5 3 5
4 1 1
1 4 3
0 1 0
0 4 4
3 1 4
0 3 5
4 4 2
10 8
2 4 4
4 5 5
1 5 2
5 0 5
0 1 2
4 0 3
5 1 4
4 3 1
4 3 2
1 5 0
10 5
3 2 2
3 0 3
1 1 3
4 2 2
1 4 0
4 0 0
1 4 2
4 1 4
2 3 2
1 2 2
10 4
0 0 2
2 0 1
0 2 0
1 2 2
2 2 2
0 0 1
2 0 0
1 2 1
1 0 0
1 1 2
10 7
3 1 0
3 1 2
0 3 2
1 1 2
2 3 3
2 3 1
1 1 0
3 2 3
0 3 0
1 3 4
10 3
5 3 3
3 5 0
4 4 4
0 2 4
2 0 3
1 0 2
4 3 3
4 4 5
3 1 1
2 5 1
10 9
1 1 0
0 2 1
2 2 2
2 0 0
1 2 2
2 1 0
2 2 1
1 0 0
1 0 1
2 1 2
10 9
1 0 3
2 1 1
2 0 3
1 0 1
0 0 1
1 3 3
1 3 0
3 0 2
3 0 3
1 3 2
10 9
2 5 2
0 4 5
1 2 5
0 4 1
4 0 4
2 1 4
5 4 4
1 2 0
0 2 0
3 0 0
10 3
1 1 0
2 1 2
3 1 2
3 0 4
2 2 1
3 1 1
1 0 4
3 4 3
2 3 0
2 0 3
10 6
1 0 1
0 0 2
1 2 2
0 2 1
1 0 2
1 0 0
0 1 0
1 2 1
2 0 0
0 1 1
10 8
1 1 2
0 2 0
2 0 1
0 0 2
2 1 2
2 2 1
2 0 0
0 1 2
1 0 0
2 0 2
10 6
1 1 3
2 4 3
2 1 3
3 3 0
3 3 3
2 3 2
1 4 2
4 4 0
3 1 2
4 0 1
10 4
1 0 1
1 2 0
0 1 0
2 2 0
2 0 1
0 2 0
2 0 2
2 2 2
2 0 0
1 0 0
10 6
4 0 2
0 3 0
3 1 1
4 0 4
4 2 4
3 1 0
4 3 3
3 4 4
3 2 4
1 3 0
10 6
1 0 0
2 1 2
2 2 0
0 1 2
1 0 2
0 2 1
2 2 2
2 2 1
2 0 0
2 1 0
10 8
5 3 5
2 1 0
1 5 1
5 2 5
4 4 4
3 5 1
1 0 4
5 0 2
5 2 1
2 0 2
10 8
1 4 2
0 4 3
3 0 4
1 3 4
0 2 1
1 4 0
2 0 0
1 1 1
2 3 2
4 2 3
10 5
0 0 1
2 0 1
2 2 3
1 3 0
1 3 3
2 1 3
4 0 2
3 3 2
2 1 0
2 2 1
10 3
1 1 2
3 3 3
1 1 3
0 2 1
0 3 1
0 2 3
0 1 0
0 0 2
3 0 0
2 0 1
10 5
0 0 2
1 1 0
2 3 2
3 3 2
1 3 1
4 0 1
4 3 2
4 1 1
2 4 3
3 4 3
10 7
3 1 3
2 4 0
4 2 0
1 0 0
2 4 1
4 0 4
4 1 4
0 0 1
3 2 4
4 3 1
10 4
2 4 3
0 4 1
2 2 0
2 3 3
4 4 3
2 1 1
4 1 1
4 0 2
0 4 3
4 2 1
10 6
1 1 2
0 1 0
0 2 0
1 2 0
1 2 2
2 0 0
1 1 0
2 1 2
2 0 2
0 1 2
10 4
3 0 0
4 2 4
1 3 4
2 2 0
1 3 0
3 0 1
1 0 3
2 4 1
3 1 4
4 2 1
10 6
2 1 0
3 2 1
2 1 3
1 3 2
2 2 3
1 1 3
1 3 0
0 2 0
2 0 1
3 2 2
10 9
4 1 2
2 2 0
4 4 3
3 0 3
0 0 0
1 3 1
3 4 2
1 1 2
0 1 3
2 4 2
10 9
1 5 5
4 1 1
3 0 0
1 2 4
5 4 5
1 0 3
5 0 5
3 5 4
1 4 0
3 5 3
10 7
4 5 3
0 1 1
0 3 5
3 0 4
1 1 3
4 1 5
0 5 3
3 0 5
1 0 5
4 0 1
10 4
2 1 3
0 3 1
2 3 0
3 0 0
0 2 1
1 2 1
1 1 3
3 2 0
1 2 2
2 1 2
10 9
2 2 3
2 2 1
0 0 0
2 1 1
3 0 1
2 2 2
0 1 2
2 0 0
3 3 3
3 2 3
10 8
1 1 2
3 1 1
0 1 0
0 2 3
2 0 1
3 2 3
3 3 0
2 1 1
3 3 1
2 2 3
10 2
0 0 2
3 3 2
0 1 0
2 1 1
0 1 1
3 1 2
1 2 0
3 1 3
2 3 0
2 1 3
10 6
0 4 5
3 2 1
5 4 4
4 0 1
4 3 4
4 1 2
3 5 4
3 5 0
5 1 1
1 0 4
10 7
2 1 1
1 1 0
1 2 1
1 0 0
0 1 1
1 1 1
2 1 2
0 0 1
0 2 0
0 2 1
10 2
1 2 0
1 1 4
0 3 0
3 5 4
1 3 0
5 3 1
1 4 5
4 0 5
0 3 5
4 2 2
10 8
1 3 1
3 1 2
0 3 2
3 2 1
1 1 0
4 3 1
3 2 0
4 2 2
1 2 4
4 2 0
10 9
2 1 0
1 2 0
2 2 2
0 2 1
0 1 1
0 1 0
1 1 0
2 2 0
2 0 0
1 1 2
10 9
2 0 1
0 1 1
0 2 1
2 0 2
1 2 0
1 2 1
2 2 0
0 0 1
2 2 2
0 0 0
10 2
1 0 3
2 0 4
0 5 5
0 3 1
3 2 4
5 2 1
3 5 1
3 1 4
0 4 5
5 2 4
10 4
5 4 3
3 4 2
0 2 4
5 1 4
0 3 1
4 3 4
0 3 3
4 2 2
2 4 2
5 4 1
10 7
0 1 3
1 0 3
3 3 2
3 0 3
3 1 3
1 0 2
3 2 3
3 2 1
0 3 3
0 1 0
10 5
2 0 3
3 3 3
0 1 2
1 1 3
2 2 3
2 2 2
2 1 2
0 1 1
0 2 1
1 2 3
10 3
4 0 3
2 1 4
3 0 4
1 3 4
2 2 2
4 4 4
1 4 1
1 1 0
1 2 3
2 2 1
10 2
4 3 2
3 3 3
0 4 2
3 1 4
2 1 1
3 1 3
1 2 0
0 1 4
1 2 2
2 2 1
10 7
2 5 1
3 1 0
4 1 3
0 2 1
4 3 5
2 1 3
4 4 4
5 5 2
1 2 2
5 4 5
10 6
1 2 2
3 1 3
0 2 0
3 3 2
1 1 2
2 1 1
0 2 3
3 2 2
2 3 3
1 1 3
10 2
0 0 1
3 3 0
0 0 2
4 4 3
3 2 2
2 3 4
1 3 0
2 0 2
3 0 3
3 1 0
10 5
4 4 3
4 2 4
0 3 4
1 2 3
2 1 4
1 4 1
3 0 3
0 4 3
4 1 4
2 1 1
10 5
4 4 3
4 2 1
0 2 3
4 4 2
0 1 1
0 0 3
0 3 0
3 5 4
2 3 5
2 3 2
10 2
0 2 0
2 2 0
1 2 0
0 0 0
2 2 2
1 1 2
1 0 0
2 2 1
0 1 2
2 1 0
10 7
4 3 2
3 4 1
0 4 4
1 3 3
3 2 4
1 0 4
4 0 2
0 3 2
1 4 3
3 0 3
10 7
0 0 0
1 3 2
4 3 2
3 3 2
0 1 1
0 4 4
1 2 0
2 2 0
4 0 0
3 4 0
10 7
1 4 5
1 2 0
4 5 0
2 2 3
1 5 3
2 5 3
4 1 3
2 1 1
5 4 5
4 2 4
10 2
0 3 0
2 0 0
1 3 0
1 2 2
2 0 3
1 3 2
2 3 1
3 1 3
1 0 2
2 0 1
10 5
1 3 2
3 1 4
3 4 1
1 4 1
1 0 2
1 0 4
3 3 4
1 3 3
0 3 1
0 2 3
10 5
2 3 3
0 0 0
3 5 5
5 2 5
2 4 5
4 3 1
2 3 5
5 0 2
4 4 5
0 4 4
10 7
2 1 0
2 0 2
1 1 0
1 0 2
0 0 2
0 2 1
1 1 1
0 1 2
0 0 0
0 2 2
10 8
2 1 1
2 1 3
1 2 1
4 2 1
3 0 4
2 0 3
3 0 2
2 3 0
0 0 2
0 3 3
10 6
4 1 2
2 0 3
4 2 0
1 2 4
2 3 1
0 1 4
0 4 2
0 0 2
3 2 3
4 4 0
10 6
1 2 1
0 0 0
3 3 0
2 2 1
2 1 1
1 3 1
2 1 0
0 0 3
0 1 3
1 3 2
10 2
2 1 2
1 0 1
2 0 2
1 0 2
1 0 0
1 1 2
0 1 2
2 1 1
1 1 0
0 2 2
10 3
2 1 1
2 3 1
1 1 2
2 2 2
2 3 0
0 1 3
3 0 1
2 2 3
0 1 0
2 1 0
10 5
1 3 2
3 0 4
2 4 2
4 1 4
2 0 2
4 4 2
3 1 3
2 2 1
0 4 1
1 4 2
10 7
1 0 0
1 4 4
0 3 2
4 1 3
3 4 1
4 4 4
0 1 0
2 4 1
2 0 3
1 3 1
10 3
1 2 0
1 0 1
0 0 1
2 0 2
0 0 2
1 1 0
1 2 1
2 0 0
0 1 2
0 2 2
10 2
2 2 1
2 0 2
0 1 0
1 3 3
1 1 0
0 1 1
2 1 0
0 2 2
3 1 3
2 3 2
10 4
3 1 1
2 3 3
1 2 0
3 2 2
2 0 2
1 3 0
0 3 0
1 2 1
2 2 0
3 2 0
10 5
0 3 2
2 0 4
2 0 0
2 2 0
4 2 0
4 1 0
2 0 1
0 1 4
0 0 4
0 0 0
10 5
2 3 3
0 1 3
2 1 0
1 0 1
3 0 2
3 3 3
3 1 0
1 0 3
1 1 0
0 2 0
10 2
3 0 0
3 1 3
0 1 1
1 0 2
1 3 0
2 2 0
0 3 3
0 1 3
3 2 0
3 1 1
10 2
2 3 2
1 3 1
3 2 1
0 1 3
1 0 3
2 3 3
3 2 2
2 0 1
2 2 3
1 2 3
10 6
1 3 2
2 2 2
0 0 1
3 0 1
2 3 0
0 1 0
2 1 0
0 1 1
1 1 1
0 2 3
10 2
2 2 0
0 3 0
2 2 3
0 1 0
1 3 1
0 2 0
3 0 2
0 3 2
3 3 0
0 1 3
10 6
0 2 2
3 0 1
0 0 3
0 0 2
1 2 1
2 2 0
0 0 0
0 2 1
0 1 2
2 3 2
10 7
3 4 0
3 3 1
3 0 4
0 1 3
3 3 2
2 2 0
4 1 1
0 1 1
2 3 1
1 3 3
10 7
5 0 3
3 1 5
0 1 5
3 1 3
4 1 3
5 3 4
2 4 2
0 3 3
4 0 2
3 5 4
10 5
1 3 0
3 0 3
0 0 0
3 3 1
0 2 2
0 3 0
2 2 3
1 0 1
3 2 2
1 2 2
10 9
0 0 2
1 0 1
2 2 0
2 1 0
0 3 2
1 1 3
3 1 3
2 0 3
1 3 2
0 1 0
10 5
2 0 2
2 2 0
2 2 2
1 0 2
1 0 1
2 0 1
2 0 0
2 1 0
1 0 0
0 1 1
10 7
3 3 4
4 4 1
4 3 3
2 1 1
0 2 3
4 1 4
1 1 4
3 1 2
4 0 0
3 4 1
10 3
1 2 1
2 1 1
1 2 0
0 2 1
0 1 2
0 0 0
1 0 2
2 2 2
2 2 0
0 2 0
10 2
0 2 4
1 2 2
4 2 0
3 0 1
2 0 0
5 2 2
0 3 1
3 4 0
1 1 3
4 3 5
10 4
2 4 2
1 0 2
5 0 2
4 5 4
2 2 1
0 2 4
5 3 2
4 0 3
5 4 4
0 5 5
10 4
5 4 4
0 0 0
1 3 0
1 1 3
1 0 3
3 1 5
2 2 5
3 0 0
0 2 0
0 1 0
10 6
0 0 2
1 2 0
1 0 1
1 0 2
0 1 0
0 2 1
2 3 3
3 1 2
1 1 2
1 3 0
10 2
2 0 1
0 2 1
0 2 0
1 0 2
0 1 0
2 0 2
2 0 0
2 2 1
0 1 2
0 0 0
10 8
2 3 2
2 2 4
0 3 3
1 1 0
4 1 2
3 0 0
2 4 1
2 4 0
0 2 0
3 2 4
10 3
2 2 1
2 1 2
1 3 3
1 0 2
3 1 0
1 1 2
0 3 1
3 2 2
2 0 2
3 1 1
10 8
0 1 4
1 0 3
1 2 1
4 0 2
2 1 3
0 0 3
0 2 1
0 0 1
0 4 0
4 4 1
10 8
1 0 1
2 0 0
0 2 0
1 2 0
0 2 1
2 1 1
2 2 1
2 0 1
2 0 2
2 2 0
10 3
3 1 4
1 0 3
2 0 3
3 3 5
5 0 5
4 1 0
4 4 2
2 1 2
2 4 0
4 3 5
10 9
0 2 1
4 3 4
3 0 2
0 0 1
1 4 2
3 0 5
0 4 3
2 4 4
3 2 1
4 5 5
10 7
2 0 0
2 2 1
0 2 1
2 2 2
2 0 1
1 1 1
0 0 1
1 2 0
1 1 2
1 0 0
10 4
0 2 2
3 1 1
0 1 2
0 3 2
3 2 0
3 1 3
1 0 1
2 0 1
3 2 3
0 0 1
10 5
3 1 3
2 3 0
0 3 2
2 1 1
3 2 0
3 0 2
2 2 2
0 1 3
0 1 0
0 3 3
10 9
0 2 4
0 1 1
3 2 4
4 3 0
1 4 4
1 2 3
3 4 0
3 2 2
4 0 0
0 4 1
10 5
0 3 0
2 2 4
4 1 1
4 5 5
0 5 5
1 2 0
0 3 4
0 5 3
1 1 2
0 4 3
10 4
4 3 0
2 0 3
2 0 4
4 4 1
2 3 0
3 0 2
2 1 0
2 2 3
3 4 2
4 2 4
10 7
1 1 1
3 2 2
3 1 0
2 0 3
1 3 0
1 3 1
3 2 0
0 1 1
1 2 0
0 0 2
10 2
1 0 0
0 1 0
1 2 1
1 1 1
0 1 1
0 0 1
1 1 0
0 0 2
1 0 2
0 2 1
10 2
0 2 0
1 0 2
3 1 1
0 0 3
1 3 2
0 3 2
0 2 3
2 3 2
2 1 3
3 3 2
10 3
2 2 2
1 0 0
0 0 3
3 1 0
3 1 1
1 3 3
0 1 1
2 1 0
2 3 3
2 3 0
10 7
2 3 0
1 1 3
3 1 1
2 0 3
0 2 2
3 1 2
2 2 1
0 0 1
0 2 3
3 2 1
10 7
1 4 2
5 4 3
3 1 3
4 2 1
0 5 4
3 3 0
4 4 0
0 3 4
0 0 5
3 5 1
10 8
3 2 1
2 3 1
0 4 1
2 4 2
0 3 3
2 2 1
4 4 0
0 2 4
0 2 2
1 0 3
10 6
1 1 2
2 1 2
1 1 3
1 1 0
0 3 1
0 0 2
1 2 2
2 3 2
1 0 3
3 3 3
10 7
3 0 2
0 4 1
4 4 2
4 0 2
1 1 3
1 3 3
3 1 0
3 1 1
2 3 3
3 2 1
10 5
1 0 1
0 0 1
0 0 0
1 0 0
0 2 1
1 0 2
1 2 2
2 2 2
0 1 1
1 2 0
10 5
0 1 3
0 1 2
3 3 2
3 3 3
2 2 2
3 0 2
1 3 0
4 4 4
2 3 0
0 3 0
10 5
3 1 0
2 4 2
1 3 4
2 3 1
0 3 3
0 4 0
0 1 1
0 2 2
2 3 2
3 1 2
10 2
3 5 1
3 1 5
0 2 3
2 3 3
3 0 2
0 1 2
4 3 0
4 5 2
3 1 2
2 4 2
10 3
1 1 1
1 2 1
1 0 0
1 1 2
0 1 0
2 0 2
2 1 2
0 0 2
2 0 1
0 2 1
10 4
2 0 0
1 0 0
1 2 2
0 2 2
0 1 0
2 2 1
0 2 1
2 1 0
0 2 0
1 1 0
10 2
1 0 3
2 2 0
0 2 3
2 1 1
0 3 1
0 3 0
1 2 2
2 3 0
0 0 2
0 3 2
10 4
1 2 5
5 2 4
4 1 0
5 3 2
0 5 0
2 3 3
0 3 4
5 4 3
5 1 4
0 1 4
10 4
4 1 0
4 2 3
2 2 1
2 2 4
2 4 0
3 2 3
0 0 4
1 2 1
0 4 3
2 4 2
10 8
5 0 5
1 2 4
1 2 2
5 5 1
2 1 1
0 4 2
2 0 0
0 1 5
4 0 2
2 1 3
10 3
0 2 0
2 2 2
1 2 0
2 1 1
0 0 1
0 1 1
2 1 2
1 1 0
1 1 2
2 2 0
10 3
0 0 0
2 0 0
2 1 2
1 1 1
0 2 2
2 0 1
0 2 1
0 1 2
1 0 1
2 1 1
10 7
0 0 0
1 0 2
2 0 1
0 1 1
1 1 1
1 0 1
0 2 1
0 0 1
2 2 0
0 1 0
10 5
4 2 1
0 4 2
3 4 4
1 4 3
4 2 3
3 4 0
1 1 3
4 3 1
1 4 1
1 1 4
10 5
2 1 3
2 0 4
0 2 3
2 1 4
5 2 4
5 5 3
3 2 5
1 0 4
3 4 0
3 5 3
10 2
2 2 0
0 2 2
0 1 0
0 0 1
2 2 2
1 1 0
1 0 2
1 2 0
2 0 0
2 0 1
10 6
0 0 2
0 2 0
1 2 1
0 0 1
0 1 0
1 2 0
0 1 1
2 0 2
2 2 1
2 1 2
10 8
3 2 3
2 0 2
0 2 2
0 2 3
0 1 1
3 3 2
1 1 3
3 2 0
2 1 0
3 0 3
10 8
2 4 4
3 1 1
0 4 0
1 0 0
4 2 0
0 1 1
2 4 1
1 1 1
3 4 2
1 3 2
10 7
2 0 0
3 1 1
2 0 4
4 4 1
0 4 2
0 3 2
4 3 1
3 3 1
4 3 0
4 2 3
10 8
0 1 4
4 3 2
0 1 0
4 0 3
3 1 5
5 0 4
5 1 5
0 3 4
4 2 2
1 1 5
10 9
2 2 0
2 3 3
1 0 0
0 2 3
3 0 3
3 2 1
0 0 0
1 1 2
3 1 0
1 3 3
10 3
1 5 5
3 3 3
2 0 0
1 1 3
1 1 5
0 5 4
3 2 5
1 2 4
4 4 4
4 4 3
10 8
0 1 2
1 2 2
0 1 0
2 1 2
1 2 1
2 2 0
1 0 0
2 2 1
1 2 0
2 0 0
10 3
0 4 1
4 1 4
0 5 3
5 5 3
2 5 1
2 2 4
4 5 3
0 0 3
3 4 5
2 0 5
10 6
3 5 1
5 1 3
2 4 2
1 0 0
0 3 5
1 2 0
0 1 2
1 4 1
1 3 0
1 1 2
10 4
3 3 0
1 2 4
2 4 2
1 3 2
4 0 4
0 3 4
0 0 2
4 1 0
3 3 4
4 4 1
10 8
0 0 0
1 1 2
2 1 2
0 0 2
0 2 0
1 2 2
0 1 0
1 0 0
1 0 2
2 2 0
10 3
2 2 1
0 0 1
2 0 2
1 2 1
1 1 1
1 0 0
2 0 1
2 1 2
1 0 1
2 1 1
10 4
5 4 0
2 0 4
1 2 1
3 4 1
0 1 3
0 3 2
1 3 1
4 2 1
2 4 0
4 3 3
10 4
1 2 0
0 0 2
0 1 0
1 1 2
2 0 1
0 2 1
2 0 0
1 2 2
1 0 1
2 1 1
10 2
1 1 2
0 2 1
1 2 0
2 2 1
2 1 1
2 1 2
0 1 0
2 0 2
2 0 1
0 2 2
10 9
0 1 2
2 0 0
0 0 0
0 3 2
2 0 3
0 3 0
2 1 2
1 2 2
2 1 3
2 0 1
10 6
2 3 3
1 0 0
2 1 2
1 0 3
2 3 0
1 2 1
1 3 0
1 1 1
2 0 0
2 2 0
10 8
1 3 3
4 4 2
0 0 0
3 2 4
0 3 3
2 4 0
3 0 2
3 2 3
1 0 1
1 3 1
10 5
1 1 1
2 1 1
5 2 5
0 0 0
5 0 0
0 0 4
5 4 0
3 4 5
3 5 2
3 5 1
10 8
3 1 2
3 3 1
1 5 2
5 5 2
3 5 2
4 4 2
4 2 2
5 5 0
5 4 0
2 0 2
10 5
1 2 1
0 2 0
1 1 1
2 2 1
1 0 2
2 0 0
1 0 1
1 2 2
0 0 1
0 1 1
10 4
0 2 4
1 4 3
0 1 0
2 2 3
2 3 2
0 1 1
2 3 0
0 0 2
2 0 1
2 2 2
10 2
1 1 1
0 1 0
0 0 2
0 2 2
2 1 0
0 1 2
0 2 0
0 0 0
2 0 0
0 2 1
10 4
2 0 3
1 0 5
0 5 1
0 1 5
1 2 1
0 4 5
2 2 3
4 4 0
2 4 3
5 5 4
10 5
2 0 1
4 2 1
0 5 2
5 3 0
4 2 5
2 3 3
2 0 2
5 1 5
2 1 1
2 0 4
10 5
1 0 1
0 3 0
1 4 1
2 3 4
0 0 1
1 2 2
4 4 3
2 4 0
1 1 2
1 0 3
10 2
2 1 3
3 0 2
1 0 3
3 3 0
1 2 0
1 2 1
2 0 1
1 3 1
0 0 1
3 2 2
10 5
2 0 2
1 0 2
2 1 2
1 2 1
2 0 1
0 2 2
2 1 1
0 1 0
2 2 1
0 2 1
10 2
3 3 0
0 1 0
2 1 2
1 3 2
3 2 2
3 2 3
0 2 0
2 0 2
0 2 2
2 1 1
10 3
0 1 2
0 1 0
0 2 2
1 0 0
1 1 0
2 2 2
0 0 1
2 0 1
2 0 2
2 1 2
10 3
3 3 1
0 2 5
5 4 5
1 4 4
5 5 3
1 4 1
3 2 3
2 1 1
1 1 1
0 3 2
10 5
2 2 0
0 0 1
2 1 2
0 1 1
1 0 1
2 0 1
2 2 1
2 2 2
1 1 1
0 2 2
10 6
1 0 5
4 3 2
2 1 1
4 1 1
3 3 0
3 0 1
4 0 3
4 5 2
5 4 5
4 5 0
10 4
0 0 0
3 3 2
0 0 3
1 1 0
0 1 2
0 1 1
2 0 3
2 3 1
1 0 1
0 2 2
10 3
2 1 1
1 0 1
2 2 1
2 2 2
2 0 0
0 1 0
0 0 0
2 0 2
1 0 0
0 0 1
10 3
2 0 3
0 1 0
3 3 0
2 2 1
0 1 3
1 1 3
1 2 3
2 1 2
2 2 3
2 3 1
10 8
2 2 0
1 1 1
0 4 3
0 4 0
2 3 4
3 1 2
0 0 3
2 4 2
1 3 1
3 3 4
10 2
3 5 4
2 0 1
2 3 1
3 3 0
5 0 4
3 2 4
2 2 3
1 4 4
4 0 1
2 4 3
10 9
3 1 1
0 3 3
0 3 0
4 4 1
5 5 0
3 2 2
5 1 4
5 0 1
5 4 1
1 3 5
10 2
2 0 2
1 1 2
1 2 1
0 2 2
2 2 0
2 2 1
2 1 1
2 1 2
2 1 0
0 2 0
10 2
1 0 0
2 0 1
0 2 2
1 2 2
1 0 2
0 0 0
1 1 0
2 2 0
0 2 1
2 2 2
10 4
2 1 1
2 1 2
0 0 2
0 0 1
0 0 0
2 2 2
1 1 0
0 1 1
0 1 2
1 0 2
10 3
5 4 0
4 4 1
3 2 0
2 3 2
2 0 4
0 5 5
1 2 0
1 0 5
4 0 2
0 2 3
10 9
2 0 1
1 3 0
1 3 2
0 0 1
1 0 2
3 3 2
3 1 0
2 3 0
0 3 1
0 0 2
10 3
3 0 2
2 3 2
0 1 3
1 1 2
3 2 1
3 3 1
0 0 3
2 1 3
1 3 2
2 2 1
10 6
3 3 1
0 2 1
1 1 0
2 1 0
2 3 2
3 2 2
1 2 2
1 0 2
3 2 1
1 3 2
10 5
2 4 3
3 1 2
3 0 0
2 1 1
4 2 1
4 2 4
3 3 4
3 4 2
0 3 4
0 3 3
10 9
1 4 1
3 5 3
1 2 4
5 2 0
5 1 1
3 5 1
3 2 5
2 3 1
4 5 4
3 5 0
10 9
0 2 2
1 3 0
2 0 0
3 3 1
2 3 1
1 2 2
1 2 0
1 0 3
2 0 2
1 2 1
10 5
0 0 0
2 0 2
2 1 1
1 0 1
2 2 0
0 1 2
2 2 2
1 1 0
2 1 0
0 2 0
10 7
1 1 4
4 0 4
0 0 4
0 2 4
4 1 1
0 0 3
0 0 2
1 4 1
2 1 0
3 2 2
10 2
0 1 1
1 2 1
0 1 0
0 0 0
0 1 2
0 2 2
1 2 2
1 0 0
1 1 2
2 1 0
10 5
3 1 3
1 0 2
4 2 5
3 3 2
2 3 5
0 2 5
0 1 2
0 4 5
2 0 4
1 3 0
10 8
1 2 0
1 3 0
3 1 2
1 3 3
1 0 2
1 2 3
2 0 2
2 2 1
1 1 1
1 2 2
10 5
2 0 1
1 0 1
2 0 2
0 2 2
1 1 2
2 2 1
0 0 1
0 1 0
2 1 0
1 1 0
10 5
1 2 1
2 1 3
1 2 0
1 0 3
3 2 2
3 0 1
3 2 3
2 2 0
2 0 1
3 1 0
10 2
2 5 1
1 3 3
4 3 4
5 1 3
3 1 0
3 5 1
0 0 2
0 2 2
4 4 4
5 0 5
10 7
1 2 3
2 0 4
0 4 3
0 0 4
4 0 4
3 1 3
2 2 0
2 3 2
1 4 2
4 3 0
10 3
2 0 3
1 3 1
2 0 0
3 2 3
3 2 2
2 3 2
1 3 2
2 0 1
2 1 0
3 2 0
10 9
0 2 0
0 0 2
0 1 0
0 0 1
2 2 0
2 0 2
2 1 2
1 0 1
0 2 1
2 1 0
10 7
2 2 2
0 1 1
1 0 1
2 2 1
1 1 2
0 2 2
0 2 0
1 2 0
0 0 1
2 1 0
10 6
1 2 5
4 5 3
4 1 2
3 5 3
4 5 4
4 3 2
2 5 1
5 5 0
1 0 4
0 1 1
10 6
1 4 3
0 3 3
1 1 0
2 3 4
0 2 3
0 0 3
0 2 0
3 4 1
3 0 0
4 2 0
10 8
2 2 1
0 0 1
1 2 0
0 1 1
1 0 0
2 1 0
2 0 1
2 2 0
0 1 0
1 1 1
10 9
2 0 3
2 2 1
2 3 3
0 1 0
2 2 2
1 2 2
1 3 0
3 1 2
3 3 2
0 3 2
10 2
2 0 2
2 0 0
1 1 1
1 2 2
2 0 1
0 0 0
0 2 0
1 1 2
1 0 0
1 2 0
10 3
1 0 1
3 2 1
0 2 0
3 3 2
0 3 3
2 0 2
3 2 0
0 3 2
1 1 1
2 0 0
10 8
3 3 2
2 1 3
1 0 0
2 1 1
3 4 1
0 3 0
0 2 2
1 0 1
1 0 4
2 4 4
10 6
3 3 1
2 4 4
2 2 4
0 1 0
1 4 4
4 5 1
2 4 3
3 4 1
4 5 5
0 3 1
10 4
5 0 3
3 3 2
3 5 3
2 4 1
4 3 2
3 1 2
0 5 3
0 2 2
2 3 5
0 0 5
10 2
0 2 1
2 2 0
2 2 1
2 0 2
2 2 2
1 2 1
0 1 2
2 1 2
0 2 0
1 2 2
10 3
0 2 5
3 0 3
0 1 4
4 1 0
1 3 3
2 0 4
0 4 0
5 0 1
5 3 2
3 4 3
10 9
1 3 0
2 2 1
2 3 3
0 3 3
2 3 0
0 2 3
2 1 1
3 0 3
3 3 3
1 0 1
10 4
0 1 0
3 0 1
0 5 2
4 4 0
0 1 4
5 1 0
4 0 3
0 4 2
5 4 1
1 1 2
10 2
1 1 0
1 4 4
0 0 2
0 5 5
0 3 4
2 2 5
5 4 4
0 0 1
2 5 2
1 1 1
10 3
2 1 1
0 1 0
0 1 2
0 2 1
1 1 0
2 0 0
0 0 0
1 0 2
2 0 2
0 2 0
10 9
1 0 1
0 1 1
2 2 2
2 0 2
2 1 1
0 1 2
1 2 2
0 0 1
0 0 0
1 0 2
10 7
2 1 0
4 4 2
0 4 1
2 2 1
3 4 1
1 2 3
1 0 5
4 2 0
0 3 0
4 3 3
10 9
3 0 1
3 0 2
2 1 0
0 3 3
1 0 1
0 0 0
3 3 0
2 3 0
2 0 0
0 2 0
10 8
2 5 2
2 3 4
4 2 5
1 2 0
4 2 2
5 1 5
2 2 0
1 5 1
1 1 1
0 0 1
10 8
1 3 1
0 1 3
3 3 1
3 3 0
1 0 3
2 3 3
3 2 2
3 2 0
0 3 3
1 0 0
10 9
2 3 3
0 0 1
4 1 2
1 1 2
1 2 3
0 1 2
2 2 3
4 2 3
3 1 0
1 4 0
10 3
0 0 1
3 4 4
2 4 2
4 5 0
3 1 0
2 4 4
2 0 2
5 4 1
1 0 3
2 4 0
10 7
3 2 0
0 0 3
0 1 2
2 1 0
2 2 3
2 1 3
0 3 1
0 2 3
2 2 1
1 2 2
10 9
1 0 0
4 3 0
4 3 1
2 2 1
3 4 0
3 0 1
4 2 2
2 1 1
1 4 3
0 2 4
10 6
4 2 0
3 0 4
5 2 0
3 1 5
0 3 3
1 2 3
1 0 3
4 2 3
1 4 5
3 5 4
10 8
2 3 3
0 1 3
0 3 3
2 3 1
3 0 3
1 3 0
2 1 0
0 2 1
1 3 1
3 1 2
10 7
3 0 2
3 3 2
3 1 1
0 0 3
1 0 3
3 0 1
2 2 2
3 2 2
1 2 2
2 3 2
10 7
1 0 2
3 1 0
0 2 1
1 0 0
0 3 2
0 0 1
1 1 1
2 1 0
2 3 0
1 2 3
10 5
0 3 3
3 0 3
3 1 2
0 3 1
3 2 1
1 0 3
1 2 2
3 2 2
0 2 2
3 2 3
10 5
0 0 2
2 0 1
2 1 0
1 2 0
2 1 1
2 0 2
0 1 2
0 1 1
1 0 1
1 1 0
10 6
0 0 1
2 2 2
0 2 2
0 1 1
0 2 0
0 1 2
1 1 1
1 0 1
2 2 0
0 0 2
10 2
3 3 2
1 2 2
0 0 1
2 3 3
2 1 1
3 3 1
3 3 0
1 0 2
3 1 3
1 3 2
10 2
1 2 2
1 0 1
0 1 0
0 2 1
2 2 2
2 0 2
2 2 0
2 0 0
1 1 2
1 2 1
10 9
2 2 4
5 0 2
0 5 5
1 0 3
3 1 1
3 4 1
2 4 0
3 4 4
3 0 2
5 5 4
10 4
2 3 2
0 2 0
0 1 2
2 1 2
1 2 1
0 3 0
2 1 1
3 3 1
3 1 3
2 3 3
10 6
0 1 1
4 0 0
3 3 3
4 3 1
0 0 0
2 1 0
4 2 0
4 4 4
4 0 3
2 3 3
10 7
3 4 3
5 4 0
0 2 0
5 4 5
2 5 3
0 2 3
1 3 3
0 5 4
2 2 1
5 3 0
10 6
0 2 1
2 1 1
1 1 1
2 1 0
1 2 1
3 3 1
2 3 0
0 2 0
3 2 0
1 2 0
10 2
1 2 0
0 0 1
1 2 2
2 1 1
0 1 0
0 0 0
1 0 0
0 2 1
1 0 1
0 1 1
10 5
2 3 0
4 0 5
1 3 5
4 2 4
1 1 3
2 5 4
4 0 3
3 3 4
0 1 2
5 1 3
10 8
1 4 2
4 3 0
3 1 3
2 2 0
5 3 4
4 2 2
1 2 5
0 0 5
0 5 1
0 2 2
10 5
3 0 1
3 1 3
2 1 1
2 1 3
1 3 0
2 2 2
3 0 3
3 3 2
2 0 1
0 3 3
10 2
2 3 0
0 3 1
2 2 2
0 0 3
3 1 0
0 1 2
3 2 2
1 3 0
2 3 3
1 0 1
10 5
1 0 3
4 2 5
4 0 3
5 3 4
5 5 5
2 5 2
2 4 2
2 5 4
4 3 4
3 5 5
10 4
1 0 2
2 0 2
0 0 0
1 1 0
2 1 0
0 0 2
0 1 2
2 1 2
2 0 0
0 1 0
10 8
0 2 1
0 1 1
0 2 2
2 2 1
0 1 2
2 1 1
2 0 0
2 1 0
1 0 0
0 0 0
10 7
0 3 0
4 0 0
2 2 2
4 4 1
2 3 2
4 2 3
3 2 2
1 1 1
4 0 2
3 2 0
10 5
2 2 1
0 1 0
2 2 2
1 0 1
1 2 1
0 1 2
0 2 0
2 1 0
1 1 1
0 2 1
10 7
3 1 1
0 2 3
1 0 1
2 3 0
2 1 3
2 3 3
1 2 2
1 3 0
3 1 2
1 0 2
10 5
1 3 0
0 1 4
1 1 3
4 3 1
1 2 0
2 2 1
3 4 3
3 1 4
1 3 1
3 0 2
10 5
4 3 1
4 4 4
4 1 4
3 0 4
2 3 4
4 3 0
4 1 3
0 2 0
1 3 2
1 2 4
10 6
4 3 2
4 1 5
0 0 4
1 5 0
1 5 3
2 5 5
5 1 2
5 1 1
1 4 5
1 3 2
10 2
0 2 0
0 0 2
0 1 0
0 2 2
1 2 2
0 1 2
2 1 0
1 2 1
0 0 0
2 0 2
10 2
0 4 0
4 2 2
1 3 3
1 3 5
4 0 0
3 2 5
5 1 0
2 1 2
5 5 2
4 3 4
10 5
3 1 5
5 3 1
3 3 4
2 5 5
2 4 5
0 5 4
1 1 2
3 5 2
5 1 0
3 2 0
10 7
3 3 1
2 1 2
0 1 0
1 3 3
3 2 0
0 2 1
0 0 1
0 3 0
3 3 0
1 2 3
10 2
5 2 2
0 0 2
4 0 5
5 0 1
0 4 2
0 3 4
0 3 3
0 5 3
5 0 2
5 3 5
10 4
0 2 2
1 1 1
0 2 3
2 3 0
0 3 1
3 0 0
1 2 2
2 3 1
1 2 0
4 0 0
10 9
3 3 4
4 3 4
2 1 1
0 0 0
3 0 2
2 0 1
4 4 4
3 3 3
4 2 0
3 2 2
10 8
3 0 4
2 4 3
0 2 4
0 0 0
0 4 4
0 0 3
3 4 4
0 2 2
2 3 1
0 0 1
10 9
1 2 0
1 1 1
0 1 2
2 1 2
1 0 1
0 0 2
0 0 0
1 0 0
2 0 1
2 0 0
10 4
3 3 1
0 4 0
0 0 4
0 3 3
3 2 4
4 1 1
1 3 0
3 0 1
4 2 0
2 3 1
10 5
4 1 0
5 4 2
5 4 5
4 2 0
2 2 0
1 2 5
1 1 1
2 1 5
4 4 2
3 4 5
10 9
3 1 2
4 1 1
2 0 4
4 3 4
1 2 2
2 5 1
5 0 1
5 5 0
4 0 0
0 4 5
10 2
2 1 1
4 0 4
5 0 4
0 3 4
5 2 0
3 5 4
0 4 3
3 4 3
2 0 5
1 5 4
10 2
2 0 1
3 0 2
1 2 1
4 3 1
3 1 0
2 2 2
3 1 3
1 1 1
4 2 0
3 3 1
10 5
2 2 0
1 0 2
2 0 1
0 2 0
1 2 2
1 2 1
0 0 1
0 2 1
2 1 0
1 1 1
10 4
0 1 3
3 3 3
3 1 4
2 4 1
2 1 4
4 0 4
1 0 0
3 3 4
3 4 2
1 2 0
10 4
0 0 1
2 0 1
3 3 3
3 0 1
0 0 2
0 1 2
0 1 1
1 2 0
0 1 3
1 1 1
10 2
0 2 0
2 3 3
3 3 4
3 4 2
4 4 3
2 2 1
1 0 2
4 3 0
3 0 1
0 2 4
10 4
0 2 1
0 0 0
1 2 1
0 1 1
1 0 1
2 1 0
2 1 2
0 1 0
1 1 0
1 0 2
10 5
3 4 1
5 0 2
1 4 0
3 4 4
4 1 0
3 0 0
0 2 1
4 0 0
1 3 0
2 4 4
10 2
2 2 5
3 0 0
3 1 2
1 1 0
0 1 5
4 1 5
4 4 1
5 4 5
5 5 0
5 2 3
10 4
3 4 0
3 3 4
0 4 4
3 2 3
0 2 1
2 1 1
4 1 3
2 3 2
1 1 3
3 1 0
10 5
4 3 0
4 4 2
3 2 0
4 2 1
2 1 0
2 2 3
4 3 2
2 1 1
3 0 0
3 0 1
10 7
0 0 0
2 2 2
0 1 1
1 1 2
2 1 0
2 0 0
0 0 2
2 1 2
0 2 2
2 1 1
10 6
0 1 1
2 2 1
1 3 3
0 4 3
3 0 3
4 2 1
3 2 2
3 4 4
2 2 4
4 4 0
10 8
4 3 3
2 4 0
0 5 3
5 1 2
1 0 5
5 5 1
3 4 0
1 0 0
1 1 5
2 5 3
10 9
0 0 2
0 4 4
1 1 0
0 3 2
4 3 1
0 4 5
1 5 4
3 1 1
0 1 0
1 0 4
10 3
2 0 2
2 2 4
0 3 4
1 3 0
3 3 0
2 3 1
0 1 4
2 0 3
4 2 4
1 0 1
10 8
2 0 1
3 2 1
2 2 0
2 2 3
1 2 0
3 3 2
3 0 2
3 0 3
0 0 1
2 1 2
10 9
2 2 2
2 0 0
2 0 1
0 2 0
2 2 0
1 2 2
2 1 0
1 0 1
1 0 0
1 0 2
10 9
1 3 2
2 4 5
1 1 2
2 5 2
5 4 5
0 5 4
3 4 2
2 3 3
0 0 0
2 5 3
10 6
0 2 2
0 2 0
0 2 1
2 3 2
1 1 2
3 1 3
3 0 2
2 1 0
2 1 1
0 0 0
10 2
1 5 4
3 5 0
1 0 2
2 0 4
0 3 3
4 0 0
5 3 4
5 1 0
4 2 1
3 0 0
10 8
1 3 0
2 1 1
2 2 3
0 3 1
3 3 3
0 1 1
0 0 0
2 2 0
1 1 1
1 0 2
10 3
3 5 3
5 0 0
2 0 0
1 3 3
5 5 3
0 5 5
4 2 1
4 3 5
4 5 4
5 0 1
10 7
4 3 4
3 0 3
3 3 4
2 0 4
2 3 2
2 1 1
4 2 0
4 4 4
4 0 2
0 0 1
10 6
2 2 1
0 1 2
1 1 2
1 2 2
1 2 0
1 0 2
2 1 0
1 1 0
2 0 1
0 2 2
10 8
1 0 0
2 1 1
0 2 1
1 1 3
1 0 3
1 2 1
2 0 1
3 3 1
3 1 0
1 3 1
10 4
2 2 1
1 0 0
2 0 0
0 2 1
1 1 1
3 3 0
0 1 0
2 3 0
0 2 3
2 0 1
10 8
2 1 0
3 0 1
1 0 2
2 3 1
3 1 1
3 1 2
2 1 1
3 0 3
2 3 2
3 0 2
10 7
0 4 3
3 4 4
2 2 2
2 1 1
0 1 1
1 0 0
1 0 1
4 3 0
0 2 4
2 3 1
10 8
1 0 1
0 0 1
2 1 0
2 0 0
2 1 1
2 0 1
1 0 0
1 1 2
1 2 0
1 1 1
10 3
4 5 1
0 0 0
3 5 2
5 4 0
1 2 3
0 2 2
1 4 2
0 1 3
3 4 4
3 3 5
10 9
2 0 1
2 3 1
3 1 3
1 3 0
0 1 1
1 2 3
0 2 0
1 1 2
1 2 2
0 3 0
10 4
2 0 1
3 2 3
3 0 0
1 0 0
2 3 2
1 0 1
2 2 1
1 2 0
2 1 1
1 1 1
10 9
2 0 1
0 1 1
1 1 1
1 2 1
0 2 0
0 0 2
0 1 2
2 1 2
2 2 0
1 2 0
10 6
0 0 2
0 2 0
1 0 2
2 0 1
0 1 1
0 0 1
2 2 1
2 1 1
0 2 2
2 2 2
10 5
3 0 5
4 0 5
0 4 1
3 3 1
0 5 5
4 5 1
2 5 0
5 3 2
3 0 3
0 0 3
10 4
3 0 1
1 1 2
2 0 3
1 3 4
2 2 0
3 2 0
4 3 3
2 4 1
3 1 2
3 0 3
10 9
4 1 3
1 1 0
4 4 4
1 0 3
4 3 2
0 0 3
0 4 1
3 3 0
4 0 4
0 1 2
10 2
5 2 4
5 1 3
3 2 5
5 1 5
0 2 1
0 2 4
3 4 2
2 0 0
0 5 2
0 1 2
10 9
2 4 2
0 4 4
2 2 1
1 1 0
1 4 1
4 4 2
0 4 2
1 3 1
2 0 1
1 2 4
10 4
0 0 3
1 0 3
1 1 3
2 3 3
1 3 1
2 3 1
0 2 2
3 2 1
0 1 2
2 2 0
10 9
5 5 0
4 5 5
3 1 0
2 4 0
1 1 0
3 1 1
5 3 4
4 1 1
2 2 4
4 4 2
10 5
1 2 1
2 2 2
0 2 0
1 1 1
0 2 1
0 2 2
2 0 1
2 1 1
2 0 2
2 0 0
10 2
2 0 2
1 0 2
1 0 1
2 1 0
0 2 2
0 0 1
1 2 0
2 2 0
1 0 0
0 0 2
10 8
1 3 0
4 1 5
4 1 3
0 2 0
0 5 2
0 1 1
1 1 5
5 0 0
4 4 4
2 2 3
10 9
2 0 0
0 3 1
3 2 1
2 2 0
0 0 2
2 1 2
3 0 3
1 2 2
3 1 0
2 0 2
10 8
5 3 5
4 4 0
4 0 3
2 3 1
3 3 3
2 1 4
1 2 5
3 3 4
1 3 1
4 3 0
10 6
4 2 2
5 5 1
5 5 2
5 4 3
2 1 2
2 4 0
0 2 2
3 0 2
1 0 3
3 4 4
10 3
4 0 0
2 4 4
5 1 4
2 1 4
4 4 1
5 5 4
4 5 1
2 5 2
0 2 1
3 2 5
10 2
0 0 2
0 1 0
2 0 0
2 0 1
1 2 2
0 0 1
1 0 2
1 0 0
1 1 2
0 1 1
10 5
1 0 1
4 4 1
4 5 2
3 3 3
4 4 3
0 2 1
2 5 4
5 4 5
0 3 1
2 1 0
10 6
1 4 2
0 2 1
4 2 4
4 3 4
4 3 3
0 4 3
0 3 4
2 3 2
4 4 2
4 4 3
10 5
2 2 0
0 1 0
0 0 2
1 2 1
0 0 0
1 0 2
1 1 0
0 2 2
2 0 2
0 1 2
10 8
3 0 3
4 2 0
4 1 1
4 4 0
4 4 3
4 4 1
2 2 3
2 4 1
2 1 1
2 3 1
10 7
5 0 3
5 5 3
1 3 4
0 0 3
2 1 5
2 5 3
2 0 4
4 1 4
1 0 2
5 4 3
10 9
1 0 3
1 4 4
1 0 4
0 0 4
3 4 5
4 0 4
1 0 5
1 3 1
0 1 2
5 4 1
10 4
0 1 2
0 1 0
1 1 2
1 1 1
2 1 1
1 2 0
2 0 2
2 2 1
1 0 0
1 2 1
10 3
1 0 0
1 3 2
2 2 1
2 1 1
1 0 2
2 0 3
1 0 3
2 1 2
3 0 0
2 1 3
10 5
3 3 3
0 1 2
2 0 0
1 3 3
3 2 1
2 1 1
0 0 3
0 2 3
2 3 0
3 3 1
10 2
3 4 2
0 3 2
1 4 2
0 3 3
0 2 4
1 4 4
0 2 3
0 0 3
0 1 3
2 3 2
10 4
1 2 3
1 1 1
3 0 3
1 0 0
0 1 3
2 1 3
2 0 0
3 3 3
3 2 0
0 2 1
10 4
1 0 1
2 4 2
4 4 0
2 2 2
4 2 4
4 2 2
0 4 4
0 2 3
0 1 4
1 3 0
10 5
1 0 0
0 1 0
1 0 1
1 3 3
3 0 2
0 3 3
2 1 2
3 2 0
0 1 2
2 2 2
10 8
4 4 2
1 5 4
3 1 3
4 3 4
2 2 4
4 5 5
2 2 3
1 3 1
2 1 2
0 0 4
10 5
3 4 1
4 3 1
3 1 3
4 1 4
0 1 2
2 3 1
3 3 1
2 2 3
0 1 1
0 0 4
10 2
1 2 0
0 1 2
2 0 1
0 1 0
2 2 1
0 0 2
1 2 2
2 0 0
0 2 0
2 2 0
10 5
2 4 1
0 3 4
3 3 1
0 2 2
0 1 4
4 3 3
0 2 4
3 4 3
3 0 0
4 3 1
10 3
2 3 2
2 3 0
1 0 3
3 3 3
2 3 3
0 0 0
0 3 3
2 2 0
0 1 3
0 1 1
10 8
3 3 0
0 1 4
0 2 3
3 3 1
0 1 2
3 0 4
2 0 2
3 1 3
1 2 1
1 2 4
10 2
0 4 2
2 0 4
1 4 4
3 2 0
2 1 1
1 1 0
4 0 2
2 2 0
1 3 4
2 4 1
10 8
1 3 4
3 3 2
1 3 0
3 3 3
1 1 1
3 3 1
1 1 4
3 1 1
3 0 2
0 3 0
10 3
4 1 5
0 5 5
2 5 0
3 3 5
2 3 2
4 0 5
2 0 3
2 2 5
1 2 0
3 5 2
10 6
3 3 0
4 4 3
3 3 1
4 4 1
0 4 2
2 4 1
3 1 4
1 0 0
2 0 1
0 2 0
10 2
1 2 3
3 3 0
2 0 2
2 3 0
3 3 1
2 1 0
1 1 2
2 0 3
3 2 0
0 2 2
10 2
0 1 2
1 0 1
2 1 0
1 2 2
1 1 0
0 0 1
0 0 2
2 2 1
1 1 2
0 0 0
10 4
5 3 1
4 5 2
5 0 5
2 4 0
4 4 4
3 3 0
2 1 5
5 2 4
2 3 1
5 5 1
10 7
1 0 3
1 4 3
2 3 1
4 2 0
2 0 1
1 2 3
2 0 4
2 2 1
3 4 2
1 2 4
10 2
2 3 1
2 0 2
1 3 4
0 1 3
3 3 1
4 0 4
0 4 1
1 4 1
2 3 3
4 1 2
10 6
2 3 0
4 5 4
1 4 4
0 5 5
2 4 1
4 2 0
3 0 1
5 4 5
5 3 1
2 4 4
10 5
3 2 5
3 4 0
3 4 2
4 3 0
2 1 5
1 0 4
3 3 0
3 1 0
1 3 0
0 2 1
10 8
3 2 0
0 3 2
1 0 0
3 3 3
1 3 3
2 1 0
1 3 2
3 1 1
3 1 0
1 0 1
10 9
1 2 1
0 2 2
0 0 1
2 2 0
1 0 2
0 1 0
1 2 0
0 2 0
2 0 1
0 0 2
10 5
0 0 0
3 3 1
0 2 2
2 1 2
2 0 2
3 2 2
2 4 3
1 4 2
3 1 4
0 3 0
10 3
2 3 1
1 0 3
0 2 0
4 0 1
2 3 4
4 2 4
0 3 4
2 0 0
0 3 2
3 2 1
10 8
3 1 0
0 0 1
1 3 0
2 3 1
3 1 1
0 1 1
3 3 2
0 2 2
0 0 2
1 0 2
10 3
3 5 1
5 4 3
2 1 0
1 2 2
0 2 5
1 4 1
3 0 3
3 1 2
3 2 0
2 1 3
10 9
4 3 3
4 2 0
3 2 2
4 4 4
2 0 0
3 0 5
1 2 2
0 2 3
5 5 0
2 2 3
10 4
3 3 3
2 0 0
0 2 4
4 4 1
4 3 2
0 0 0
1 0 0
3 1 2
4 1 1
1 2 3
10 8
0 1 3
2 1 2
3 3 3
2 1 3
2 3 2
3 3 0
2 1 0
3 2 1
3 1 0
2 0 1
10 8
0 2 1
1 2 1
2 1 2
2 1 0
1 2 0
1 1 2
0 1 2
2 1 1
2 0 0
0 1 1
10 4
0 3 3
3 2 0
4 4 2
1 4 2
3 3 2
2 3 3
4 4 1
0 3 0
4 1 1
4 1 3
10 8
3 1 4
3 4 4
3 1 1
3 3 3
0 1 0
0 2 0
2 2 0
1 1 0
0 3 3
0 3 4
10 3
2 0 0
1 2 1
1 2 2
2 2 0
0 1 0
1 2 0
0 1 1
2 2 2
0 2 0
0 0 1
10 6
4 1 1
4 0 0
2 4 3
0 3 1
2 2 1
1 3 0
4 1 0
3 1 4
0 3 2
3 1 1
10 3
2 2 2
0 1 2
2 0 0
0 1 0
1 0 0
0 2 2
1 0 2
0 0 0
1 1 0
0 0 2
10 9
3 3 2
3 2 2
2 1 0
1 3 3
2 2 1
0 3 2
1 2 2
2 3 0
0 0 1
2 0 1
10 2
1 2 0
2 2 1
1 0 3
3 0 1
3 2 2
0 3 2
2 0 1
3 0 3
0 2 0
0 1 1
10 4
2 5 4
2 4 3
5 2 2
3 3 1
4 4 4
1 3 3
5 4 3
2 5 1
4 5 5
2 0 3
10 4
0 1 5
1 3 5
3 2 1
1 2 2
5 0 0
5 1 4
2 4 5
2 3 3
5 2 3
5 1 0
10 7
1 3 1
1 3 0
2 3 2
2 0 3
1 1 3
1 0 3
3 3 2
1 1 1
2 0 2
3 0 2
10 6
2 1 3
0 1 4
3 2 1
0 0 1
4 3 0
1 4 0
1 3 1
5 3 0
0 1 1
5 0 5
10 9
2 2 2
1 0 0
0 0 2
2 2 1
0 0 1
1 1 0
0 1 2
2 1 2
1 0 1
1 2 1
10 3
2 1 0
2 0 1
1 3 3
0 3 1
2 2 4
1 2 1
3 1 3
3 3 2
3 3 0
2 2 2
10 7
2 2 1
0 2 0
0 2 1
0 0 1
1 1 1
2 1 0
0 0 0
2 2 2
0 1 2
2 2 0
10 3
3 1 1
1 0 1
1 4 1
2 1 2
0 0 3
3 1 0
2 3 1
0 4 2
3 2 2
2 2 4
10 4
0 0 0
2 3 0
2 1 3
0 0 3
0 1 0
2 2 2
4 1 0
1 0 1
4 0 2
2 2 1
10 7
2 3 1
0 0 2
2 3 3
0 1 0
1 2 2
0 1 2
2 0 3
1 2 3
0 3 3
2 3 2
10 8
2 0 3
2 1 0
1 1 0
1 2 0
3 1 0
3 2 1
0 2 3
1 3 1
1 0 0
2 1 3
10 8
0 1 0
0 0 2
1 2 1
0 2 0
2 1 2
0 2 1
1 1 1
1 0 1
2 1 0
0 0 1
10 2
1 2 2
3 2 4
0 2 2
2 3 4
2 4 1
1 0 1
3 0 4
2 2 3
1 3 0
4 1 3
10 8
2 3 0
4 5 3
4 4 5
2 2 0
3 5 2
4 4 4
3 3 4
3 4 3
0 4 2
5 4 0
10 2
0 2 2
3 0 3
1 1 2
3 3 1
2 5 0
5 0 0
4 0 5
4 4 2
4 5 0
1 3 4
10 6
2 0 0
2 2 0
0 1 1
1 1 0
1 0 0
0 1 2
0 1 0
1 0 2
2 0 1
1 2 2
10 8
4 3 3
4 0 1
5 5 3
2 4 1
3 1 0
1 4 2
1 1 1
3 5 1
2 3 4
0 1 5
10 7
4 3 2
0 0 1
1 4 4
1 3 2
1 5 1
5 0 0
3 4 4
4 3 3
3 1 4
5 0 1
10 5
1 0 1
2 1 3
4 2 2
0 0 3
2 4 2
0 4 1
3 0 4
4 4 1
4 3 0
0 1 1
10 4
0 0 3
2 4 0
0 5 5
0 3 1
0 2 4
0 2 1
0 5 0
2 5 1
4 0 2
1 3 2
10 7
4 0 3
1 1 5
3 5 3
5 0 1
4 2 2
5 2 0
3 0 5
1 2 2
3 4 4
4 4 4
10 3
2 1 0
2 1 2
2 0 0
2 2 0
1 1 2
2 1 1
2 0 1
1 0 2
0 0 1
0 1 0
10 2
3 1 4
0 4 3
5 3 1
2 0 4
3 3 5
0 1 4
4 0 4
5 0 0
2 0 3
5 4 5
10 5
0 0 0
1 2 0
0 0 1
2 2 0
2 2 2
1 2 1
0 1 0
1 0 2
0 1 1
0 2 2
10 5
3 2 3
1 1 2
2 3 2
0 2 2
0 1 2
3 1 1
3 0 2
2 1 3
3 0 0
2 2 0
10 8
2 3 0
0 0 2
2 2 1
0 2 3
3 0 0
2 2 3
1 3 1
1 2 3
2 2 2
0 0 3
10 4
0 1 2
0 0 0
2 0 0
1 1 1
2 1 2
2 2 1
2 1 0
0 1 0
2 2 2
2 1 1
10 6
1 2 0
2 1 1
0 1 1
2 0 2
1 0 1
0 2 1
0 0 2
0 2 2
0 0 1
2 2 0
10 2
1 3 1
3 2 3
2 3 1
0 1 0
3 0 1
1 3 2
1 2 0
0 3 1
0 2 2
2 1 3
10 6
2 1 2
1 1 2
0 1 0
2 2 2
0 0 0
1 0 1
2 0 0
2 0 1
2 2 1
2 1 0
10 6
3 0 2
3 4 3
2 2 2
3 4 0
3 3 0
0 1 4
4 0 1
3 0 3
2 3 4
3 0 0
10 8
5 3 3
0 0 0
0 4 3
0 4 0
2 0 1
4 1 5
2 1 3
4 0 3
1 4 2
4 0 0
10 5
0 2 3
0 1 1
1 1 2
2 2 0
3 3 0
3 0 3
0 0 0
0 3 2
3 2 1
0 0 3
10 4
3 2 1
0 0 1
0 1 1
3 3 3
1 1 3
2 1 2
1 2 2
2 1 1
2 1 0
1 0 3
10 7
3 3 0
3 3 1
2 5 4
4 1 5
4 0 2
3 5 3
0 1 0
1 5 1
3 1 2
1 0 5
10 8
0 1 3
3 4 2
2 3 1
3 4 4
2 1 0
1 5 5
0 4 5
2 1 4
1 3 0
3 0 2
10 6
1 2 2
1 0 0
0 1 2
2 2 2
0 2 1
2 0 1
0 0 2
1 1 2
1 0 1
2 1 2
10 8
2 0 2
1 0 0
0 1 1
2 1 2
2 2 0
1 2 0
1 1 1
2 2 2
0 2 2
2 0 1
10 7
1 0 0
0 0 1
0 2 2
2 1 1
0 1 1
0 3 2
0 0 2
2 1 3
0 3 3
0 1 0
10 7
0 2 0
2 1 1
0 0 2
2 2 1
1 1 0
2 0 2
1 2 2
2 1 0
2 0 1
1 2 1
10 7
2 3 3
3 2 4
2 3 2
1 1 2
0 4 0
3 1 3
2 0 4
0 1 1
4 2 4
2 1 2
10 2
3 5 0
1 2 0
0 0 4
4 1 3
0 3 1
2 1 5
4 5 5
1 3 4
2 2 3
0 2 2
10 5
2 0 0
1 1 5
3 1 5
2 5 2
0 4 5
4 2 5
5 4 4
0 1 0
1 3 0
3 2 1
10 3
2 1 1
2 0 2
1 1 1
1 0 1
0 2 0
2 0 1
1 1 0
2 2 1
0 0 2
2 2 0
10 4
3 1 5
1 0 4
1 0 3
4 1 4
2 3 3
2 2 5
0 2 1
1 3 4
3 2 1
4 2 3
10 8
0 1 2
1 2 0
2 1 0
0 0 0
1 0 1
2 2 0
1 2 2
1 1 0
0 1 1
1 1 2
10 5
4 4 1
3 1 4
0 1 2
2 4 4
1 4 1
3 2 2
5 3 4
1 2 5
5 0 0
3 5 2
10 2
5 3 0
3 2 3
0 2 4
4 1 4
5 0 0
4 3 4
4 2 3
2 4 3
4 3 2
2 2 4
10 9
3 2 1
0 5 4
2 2 3
0 4 4
2 3 1
3 1 1
1 2 2
5 0 5
3 5 2
2 0 3
10 4
1 3 1
3 0 4
2 4 1
1 1 3
1 0 3
2 3 3
3 3 0
0 3 1
4 2 3
3 4 1
10 9
0 4 3
1 2 3
1 4 1
0 1 3
1 3 0
0 3 1
4 4 3
2 0 0
0 1 1
3 0 3
10 6
2 2 0
1 0 0
1 1 1
1 1 0
0 0 2
1 2 0
1 2 3
2 1 3
3 0 3
3 1 2
10 3
3 0 3
2 0 1
2 3 2
1 3 0
1 0 3
3 2 2
3 1 1
1 0 1
1 3 1
2 3 1
10 7
1 3 2
4 4 2
1 1 0
0 2 2
2 3 3
2 4 3
4 4 0
3 2 1
4 2 3
2 4 2
10 7
1 1 1
1 1 0
0 2 2
2 0 0
2 2 0
2 1 2
1 2 1
1 1 2
0 0 2
2 1 1
10 6
0 2 3
0 0 1
3 4 3
0 1 4
2 1 0
2 3 2
3 4 2
1 2 3
4 4 1
3 2 2
10 5
0 2 0
0 2 3
1 3 3
3 2 0
1 3 2
2 2 2
3 1 2
2 3 1
1 3 1
2 1 1
10 4
0 2 1
0 0 2
0 1 2
2 1 2
0 2 2
1 1 0
2 2 1
2 1 1
1 0 0
1 0 2
10 2
2 2 5
2 3 3
1 1 5
5 5 2
5 3 2
3 4 1
3 4 5
2 4 0
3 3 1
0 4 4
10 5
0 2 2
3 2 2
3 2 3
3 1 0
3 3 2
2 1 1
3 2 0
2 0 0
0 0 0
1 1 0
10 8
1 3 1
2 1 2
0 2 0
2 0 2
3 1 1
0 3 2
0 2 1
2 2 3
1 3 0
3 2 0
10 7
1 1 1
1 3 1
1 2 3
1 2 1
2 3 3
3 3 3
3 0 0
3 0 3
1 2 2
3 1 1
10 4
0 0 1
3 3 2
3 1 2
2 1 1
0 0 4
0 0 2
0 2 3
3 4 1
4 1 3
3 1 4
10 8
0 2 0
2 2 1
1 0 2
2 0 0
0 2 1
1 1 0
0 1 0
0 2 2
0 1 1
1 2 0
10 2
5 4 1
5 2 1
0 1 5
3 2 3
5 3 3
5 5 0
3 4 5
3 3 4
5 1 4
5 3 5
10 9
1 4 2
0 3 3
4 3 0
4 4 1
1 0 2
0 2 3
3 3 0
2 4 2
3 3 1
3 3 3
10 8
3 3 0
0 2 1
1 3 1
3 0 0
3 3 3
2 3 1
1 1 2
1 0 0
2 1 3
2 1 2
10 2
3 1 3
3 2 0
3 0 2
3 3 2
0 0 2
1 0 2
0 3 3
0 3 1
0 2 2
3 0 3
10 9
0 3 0
0 2 4
1 5 0
1 3 5
1 2 4
2 1 4
1 1 3
5 1 3
1 1 0
2 0 1
10 5
1 1 0
1 0 1
3 0 0
1 2 0
2 0 2
2 1 0
3 0 3
1 0 3
3 2 1
0 3 3
10 9
2 2 0
3 1 0
1 1 3
2 2 3
2 1 0
0 2 1
2 3 1
2 3 2
2 3 3
1 2 0
10 6
3 3 0
4 3 1
2 0 4
0 4 2
4 4 3
4 0 2
2 3 2
0 0 3
3 1 1
0 3 4
10 4
4 2 3
4 3 3
5 4 1
4 5 3
5 4 2
5 1 4
4 1 5
0 1 3
3 2 3
5 5 3
10 7
2 1 1
1 2 3
0 3 2
2 0 2
3 1 1
3 2 0
1 2 0
0 2 0
1 0 0
0 1 3
10 3
2 5 1
4 3 3
1 0 4
0 3 1
1 1 3
3 5 0
1 2 3
3 5 4
2 4 1
2 1 1
10 2
1 0 0
3 2 3
2 2 3
2 0 2
3 3 3
0 3 0
2 0 1
1 0 3
0 3 1
1 0 1
10 6
1 1 2
2 2 1
1 1 0
2 1 0
2 0 0
0 2 0
0 0 1
0 1 2
0 0 2
1 2 0
10 7
3 2 2
1 3 3
1 1 4
2 4 4
2 3 2
1 3 0
0 4 0
4 1 2
4 4 2
2 1 2
10 3
0 1 2
2 1 1
2 2 1
1 0 1
1 1 0
1 0 2
2 0 2
2 0 0
2 2 2
2 2 0
10 5
0 1 0
0 1 1
2 0 2
0 0 1
1 2 2
1 1 1
1 0 1
2 2 2
1 1 0
2 1 2
10 2
3 5 1
1 1 3
0 0 0
0 4 3
1 4 0
3 5 0
1 5 1
5 2 2
2 1 3
4 1 4
10 4
2 1 3
3 1 1
1 2 0
3 0 4
3 4 2
2 1 0
4 1 2
1 0 0
3 3 3
1 3 1
10 5
2 4 1
2 3 4
1 5 5
4 5 0
3 1 1
3 3 2
5 3 5
2 2 0
4 3 3
2 4 2
10 6
2 2 0
2 2 1
1 0 0
1 1 2
0 0 0
2 1 0
0 1 1
1 0 1
1 2 1
1 2 0
10 9
2 0 0
3 2 2
0 0 3
0 1 1
0 1 0
2 1 2
2 2 1
0 0 1
1 0 2
2 2 0
10 6
1 0 3
3 0 1
2 1 1
1 0 0
0 0 0
3 1 2
2 2 3
3 1 1
1 1 1
3 1 3
10 2
4 3 0
0 2 3
2 4 0
1 1 3
1 1 2
0 1 0
3 4 0
0 3 4
1 0 4
1 0 0
10 5
1 2 0
0 0 1
1 1 0
0 2 0
0 1 0
1 0 1
1 1 2
0 2 1
0 2 2
0 0 0
10 6
3 2 3
0 0 3
0 3 0
0 2 0
0 3 3
0 2 3
1 2 2
1 0 1
1 2 0
1 2 3
10 8
3 3 3
2 0 1
2 3 2
2 2 1
2 2 0
3 2 1
0 1 0
2 3 1
3 2 2
3 2 3
10 3
3 1 0
0 1 1
2 3 2
1 2 2
0 0 3
3 1 3
2 0 0
2 0 3
2 2 0
0 0 1
10 5
1 3 2
2 0 1
0 0 1
2 0 0
2 2 0
1 3 1
1 1 3
3 1 0
1 1 0
0 2 1
10 4
0 3 4
3 2 3
4 2 3
4 4 3
4 0 4
2 0 4
0 3 0
3 3 3
3 1 4
1 1 4
10 5
0 2 1
0 1 0
1 0 2
1 1 2
0 2 0
0 0 2
1 1 0
1 1 1
2 2 2
2 0 2
10 3
4 0 2
5 3 2
0 5 4
4 1 0
5 2 2
3 3 0
1 3 2
2 1 3
5 5 5
1 2 2
10 2
1 1 2
0 2 1
0 2 0
3 0 0
2 3 3
3 3 3
3 0 2
1 3 1
1 0 3
2 2 1
10 6
3 0 0
3 3 0
3 3 3
0 1 3
3 2 0
1 1 2
2 0 0
0 3 0
1 3 3
3 3 2
10 8
0 1 0
1 0 2
1 1 0
0 2 2
0 1 1
2 1 0
1 2 2
2 0 2
1 2 0
2 2 2
10 3
2 1 0
1 2 3
2 2 0
3 2 3
2 3 2
2 1 1
2 0 3
0 0 1
0 2 2
3 3 2
10 5
4 0 0
0 2 4
0 3 0
3 0 1
0 2 1
0 1 4
2 1 3
4 0 4
2 2 2
4 2 2
10 5
1 0 0
1 2 2
2 2 2
0 1 1
1 1 1
2 1 1
1 1 2
1 2 0
2 1 0
2 0 0
10 8
0 1 1
1 0 3
3 3 2
0 2 1
2 0 3
0 1 2
0 0 2
1 3 0
1 1 0
1 3 2
10 5
1 0 0
0 2 0
0 0 0
2 2 2
0 2 1
1 1 1
0 2 2
0 1 2
1 2 2
2 1 2
10 2
3 3 1
3 0 0
3 2 1
3 1 2
2 2 2
0 0 1
2 2 1
1 0 3
0 0 2
3 1 3
10 3
1 2 1
3 4 1
4 1 2
2 1 0
4 2 3
4 4 2
4 0 3
1 0 1
3 1 1
1 3 4
10 7
2 0 2
2 2 2
1 1 0
2 0 1
1 2 2
0 2 0
1 2 0
1 0 0
0 0 1
0 2 2
10 8
1 0 0
1 0 2
1 2 0
2 0 1
2 0 0
2 0 2
2 2 0
2 2 1
0 0 1
0 1 1
10 8
1 0 5
3 3 5
2 0 5
3 1 5
5 1 1
0 3 4
5 2 2
0 2 5
0 5 3
4 3 0
10 7
2 1 1
0 0 1
2 2 0
1 2 0
2 1 2
2 0 0
1 0 1
2 1 0
2 0 1
0 1 2
10 6
2 1 3
4 0 2
2 5 5
2 1 0
4 0 1
0 3 2
3 3 5
3 2 4
2 2 2
0 5 4
10 3
3 1 3
1 0 4
3 1 4
1 0 5
3 4 1
5 4 5
1 5 1
3 2 0
4 0 4
2 0 2
10 5
3 0 4
3 1 1
3 2 2
4 0 5
4 5 1
5 1 1
5 5 1
3 4 4
0 3 4
0 3 3
10 3
2 1 2
1 2 3
1 1 0
0 3 2
3 0 0
0 1 1
0 3 1
1 2 2
3 2 3
0 2 2
10 7
0 1 0
2 0 3
2 2 3
2 2 0
3 2 2
0 0 0
3 0 2
2 0 1
3 3 0
0 2 0
10 8
1 0 1
1 0 2
1 2 0
1 1 0
2 0 1
0 0 1
0 2 2
1 2 1
1 1 1
0 1 2
10 5
2 1 2
2 1 1
2 2 1
0 2 0
1 1 2
2 2 2
0 1 2
0 1 1
0 2 1
2 1 0
10 5
1 3 1
5 4 0
3 4 2
5 2 0
4 0 0
4 5 2
2 2 0
5 4 3
4 0 5
0 0 1
10 8
0 2 2
0 1 0
2 1 2
0 0 2
1 0 0
2 1 1
2 2 2
1 2 1
2 2 1
1 0 2
10 8
3 0 1
3 4 4
2 4 1
3 3 2
2 1 0
4 2 4
1 1 4
4 0 4
0 4 1
0 0 1
10 8
1 3 0
0 1 3
0 3 2
1 0 0
0 0 0
0 3 3
2 1 1
3 0 2
2 1 3
0 1 2
10 7
2 0 3
2 4 0
0 1 4
1 1 2
5 2 3
0 3 2
1 4 5
2 2 1
2 4 5
2 3 3
10 7
2 2 2
0 0 2
1 1 0
2 1 0
2 0 0
1 1 2
2 0 2
1 2 2
0 2 1
1 0 0
10 2
5 3 2
3 5 2
2 3 2
5 0 3
2 0 0
1 0 3
2 3 1
0 3 3
0 3 4
3 3 0
10 4
0 1 0
4 2 4
1 1 1
0 0 2
2 0 1
2 0 2
1 2 4
2 4 1
3 4 4
2 1 3
10 3
2 1 3
2 4 4
2 2 4
2 1 0
4 0 4
0 3 3
0 2 1
3 1 3
1 2 0
3 0 2
10 7
1 0 1
2 2 1
2 1 0
2 2 2
0 0 0
2 0 0
1 0 2
2 0 2
0 0 1
2 1 2
10 4
2 2 5
5 5 5
1 1 0
0 5 1
3 3 1
1 0 5
0 5 5
3 2 1
5 3 4
4 1 1
10 5
0 0 0
4 1 0
1 3 0
4 4 3
1 2 2
0 2 2
3 4 1
4 0 1
4 2 3
4 4 2
10 8
1 3 2
0 1 2
0 2 0
2 2 3
2 2 2
2 3 0
1 0 3
3 1 1
1 2 0
1 1 2
10 3
4 1 4
4 4 4
1 1 0
1 3 0
3 2 3
3 2 2
2 0 0
1 1 3
1 4 3
2 0 3
10 2
1 0 0
0 0 0
1 0 1
0 1 1
2 2 0
0 0 1
0 2 0
0 2 2
1 2 1
2 1 0
10 6
1 0 3
0 0 0
3 3 2
3 3 0
0 3 0
3 3 1
3 0 0
0 0 1
3 2 2
1 1 0
10 6
2 1 0
0 2 2
2 1 1
0 0 0
1 0 2
3 1 0
1 3 3
3 3 0
2 1 2
0 0 2
10 3
1 4 2
1 2 4
4 2 4
2 0 0
0 1 4
4 2 2
4 4 2
3 2 0
2 2 0
0 2 3
10 3
2 1 0
0 1 0
0 1 2
2 0 1
0 2 0
2 0 2
1 2 0
2 1 1
1 1 0
1 1 2
10 8
1 5 3
5 0 5
5 5 4
4 3 1
3 3 4
2 4 5
0 2 2
1 1 4
3 4 4
4 4 4
10 9
1 1 1
2 1 2
2 2 2
1 0 2
2 0 1
1 0 1
0 1 2
0 0 1
1 2 1
0 2 0
10 3
2 2 3
0 3 4
3 3 4
1 1 1
2 3 1
3 1 2
1 3 1
1 4 3
2 4 0
2 4 1
10 7
2 2 2
0 0 1
2 1 2
2 0 0
1 2 2
2 2 0
1 1 2
2 1 0
2 0 1
0 1 0
10 6
1 3 2
0 5 3
3 4 1
3 2 2
3 4 5
0 3 1
1 1 4
5 1 0
2 3 0
2 5 2
10 6
1 4 0
2 0 3
2 4 4
0 1 1
4 1 4
1 1 2
0 1 3
3 0 1
1 2 1
0 0 4
10 8
1 3 3
1 3 0
3 0 1
1 0 1
1 0 3
2 2 3
1 0 0
0 1 2
0 3 3
0 0 2
10 8
1 0 0
2 0 2
1 1 0
2 2 2
2 0 0
0 1 1
2 2 1
0 1 0
2 1 0
2 2 0
10 9
5 3 4
1 4 0
5 0 1
1 2 0
1 1 0
4 1 5
0 5 2
2 5 1
3 3 4
4 4 2
10 6
1 0 3
3 1 0
0 1 3
0 3 1
1 2 4
4 0 1
2 3 2
3 3 4
0 1 1
1 1 3
10 3
3 3 1
3 3 0
0 3 1
3 0 1
0 1 2
1 2 0
3 0 2
0 2 1
0 0 3
1 0 0
10 6
3 5 4
3 4 1
2 3 1
2 3 4
2 5 3
5 5 1
2 1 3
2 0 5
5 0 0
5 4 0
10 9
2 1 0
1 1 2
1 1 0
2 2 2
1 0 2
1 0 0
1 0 1
1 2 1
0 2 1
0 1 0
10 2
1 3 2
1 1 0
0 2 2
2 1 1
0 1 2
1 1 1
2 3 1
3 1 0
0 0 3
1 2 0
10 6
3 0 2
4 2 0
2 2 3
4 4 0
0 0 4
1 3 3
4 0 2
0 1 4
1 0 0
4 3 0
10 2
2 5 5
2 1 3
3 1 5
2 4 3
3 1 2
1 2 3
0 4 4
0 3 2
0 0 5
0 2 0
10 2
3 2 3
4 2 0
4 0 3
0 3 3
2 2 2
0 0 3
0 0 2
3 3 2
2 2 1
3 0 1
10 3
1 3 0
1 3 2
0 0 2
2 2 0
0 2 0
2 2 1
3 1 1
1 3 1
2 1 0
3 0 3
10 2
1 2 0
1 0 1
0 1 0
0 0 0
1 1 1
2 1 2
1 2 2
1 0 0
1 1 2
2 0 2
10 4
0 3 1
3 0 2
3 0 1
3 2 0
3 3 2
3 3 1
0 2 0
0 0 2
1 1 0
3 1 3
10 4
2 3 0
1 0 2
0 1 1
0 0 3
3 0 1
2 2 2
3 3 3
3 2 0
3 0 2
3 3 0
10 2
0 1 2
2 4 2
2 1 0
4 4 3
0 1 3
4 2 1
1 3 1
0 2 4
4 5 0
2 2 5
10 5
0 1 2
2 3 3
0 3 2
3 1 2
2 2 2
2 1 1
3 2 0
0 3 3
1 2 0
1 1 3
10 3
0 2 1
1 0 1
0 0 2
1 1 1
2 1 0
1 2 2
0 2 2
0 1 0
0 1 1
2 2 2
10 2
2 2 3
3 4 5
0 3 0
4 0 2
5 4 5
2 3 3
3 4 4
0 1 2
4 1 3
5 5 1
10 6
4 1 0
0 4 1
1 1 1
1 2 1
2 1 3
2 3 2
2 4 3
0 3 0
0 0 2
2 0 2
10 9
3 1 1
1 3 2
0 4 0
1 1 1
4 4 0
1 2 0
3 2 0
1 0 2
1 0 1
0 3 3
10 9
2 0 1
2 1 0
3 1 3
3 3 3
3 0 3
0 0 1
0 1 3
3 1 1
1 0 3
0 0 2
10 4
1 3 1
3 2 0
3 3 1
1 0 1
3 1 3
2 0 1
2 1 1
1 2 3
2 1 3
2 0 2
10 4
4 1 2
2 4 3
3 4 3
2 3 1
3 0 2
0 0 4
1 3 3
1 2 1
2 4 0
1 4 0
10 4
0 1 0
0 1 2
2 2 1
0 2 2
2 2 0
1 1 2
2 2 2
0 0 2
0 0 0
2 0 0
10 5
4 2 1
2 1 4
3 3 4
4 0 1
0 0 1
0 1 4
4 0 3
3 1 1
2 3 1
0 0 0
10 2
0 3 3
0 3 1
0 1 0
0 2 2
1 0 2
2 1 2
2 3 1
1 3 1
3 0 2
2 0 3
10 4
2 2 0
0 0 1
0 2 1
1 2 2
0 2 2
2 0 1
2 2 1
0 1 1
1 0 1
1 0 2
10 4
1 0 0
2 0 1
2 1 2
0 1 1
0 1 2
0 1 0
1 2 2
2 0 0
1 2 1
1 1 2
10 4
2 1 1
3 2 4
4 4 4
3 0 2
2 3 3
4 0 0
0 2 3
0 0 2
2 0 2
3 4 3
10 5
1 0 3
3 0 4
1 0 1
4 0 4
4 4 1
1 1 4
0 4 2
0 0 3
0 4 1
4 1 1
10 7
1 2 2
2 1 2
2 0 3
4 2 1
5 4 5
2 3 3
5 0 1
3 4 3
4 4 4
2 2 4
10 8
1 0 0
3 5 4
4 5 5
0 5 2
4 4 3
3 4 4
4 0 4
3 4 0
5 2 3
2 1 3
10 7
4 1 2
0 1 2
2 3 0
0 1 3
4 4 4
0 2 2
3 0 0
4 1 1
1 2 2
1 0 3
10 8
2 0 0
1 1 0
0 0 2
1 3 4
1 1 2
4 0 1
3 2 0
4 3 2
0 2 1
4 4 0
10 8
1 1 1
1 0 0
1 1 0
0 1 0
2 2 1
2 1 1
0 1 2
2 0 1
0 0 1
1 1 2
10 6
1 1 2
1 0 2
0 0 1
1 1 0
0 1 1
1 0 1
0 2 2
0 2 1
0 0 0
2 1 2
10 8
1 2 1
1 0 0
1 2 0
0 2 2
0 1 1
2 2 0
2 0 0
1 1 0
2 0 1
0 1 0
10 9
1 2 0
2 3 5
5 5 5
3 2 2
2 2 2
1 2 2
4 1 1
2 5 5
0 3 1
1 0 4
10 5
0 2 1
0 3 3
3 4 3
2 4 1
2 1 4
2 2 4
3 3 0
1 2 0
3 0 1
3 1 4
10 8
2 0 2
3 3 1
1 1 1
3 3 2
2 2 1
1 0 2
1 3 1
1 0 3
0 0 1
3 1 3
10 3
0 0 1
3 1 2
1 3 1
1 3 0
0 0 3
1 3 2
0 3 0
0 0 0
0 2 0
2 0 3
10 6
0 0 1
0 1 1
0 2 0
0 1 0
2 1 0
0 0 0
2 2 0
2 0 0
2 1 1
1 0 2
10 6
3 1 2
0 1 2
3 2 0
1 1 2
2 3 2
1 1 1
0 2 1
0 3 2
3 0 0
3 3 1
10 8
0 0 0
0 0 1
2 2 2
1 2 2
0 0 2
0 2 1
0 2 2
1 1 1
1 0 2
0 1 0
10 6
3 0 3
1 3 0
0 4 0
1 2 4
1 1 1
1 0 2
3 1 1
3 3 2
2 3 4
0 0 3
10 5
4 2 5
2 2 3
4 5 3
3 3 0
2 1 2
4 3 2
3 2 5
1 5 5
1 1 5
1 4 4
10 2
0 2 1
0 0 1
0 1 1
2 0 2
0 2 2
2 1 1
2 0 0
1 1 0
0 1 0
2 1 2
10 2
0 1 0
0 0 0
0 0 2
0 2 2
2 2 2
0 2 0
1 1 2
0 0 1
1 2 0
1 1 0
10 8
0 1 3
3 4 1
2 3 0
3 4 4
3 1 2
2 1 2
4 0 3
4 2 3
0 4 0
2 2 2
10 5
3 4 3
3 3 3
1 0 4
5 2 2
2 0 0
5 5 1
0 4 4
5 1 3
3 1 3
2 1 2
10 9
1 1 2
0 0 1
1 2 2
0 1 0
1 1 0
0 1 2
1 2 0
2 1 2
2 0 0
0 0 0
10 5
1 1 0
0 2 1
2 2 2
0 2 2
1 0 2
0 2 0
2 1 2
1 2 2
2 2 1
0 1 2
10 2
2 0 2
2 0 1
0 0 0
0 1 1
1 0 1
0 2 0
1 1 2
1 2 1
2 2 1
0 2 1
10 3
4 2 2
2 4 1
1 0 2
0 4 2
1 2 4
4 3 4
1 0 1
0 2 4
2 2 2
0 0 1
10 2
3 3 4
0 0 4
3 5 4
2 0 1
5 4 1
1 0 5
0 3 5
1 0 4
5 2 5
4 2 0
10 6
3 3 5
2 4 5
5 2 0
2 2 0
1 5 5
0 3 1
4 1 5
3 5 2
2 3 4
5 0 5
10 6
1 0 1
0 1 0
2 1 1
2 1 0
2 0 2
2 1 2
1 0 0
2 0 0
0 2 2
1 2 0
10 6
2 2 0
2 1 2
3 3 1
0 1 0
2 3 0
0 0 1
0 1 2
2 0 3
3 0 0
0 1 1
10 4
0 4 3
5 4 2
3 5 4
4 2 2
3 2 2
0 2 1
3 0 5
3 2 1
4 3 5
0 3 1
10 9
3 1 5
4 3 1
5 1 0
4 4 5
4 2 4
5 2 0
5 1 4
0 5 1
5 2 4
5 3 5
10 2
2 0 1
1 0 0
2 2 0
0 0 1
2 3 0
3 0 1
0 3 0
2 1 2
3 3 0
3 0 0
10 8
3 1 3
3 0 0
1 0 3
1 1 1
2 0 1
3 3 1
3 2 1
2 3 0
1 3 2
1 3 0
10 9
4 0 3
1 1 3
4 0 4
4 3 0
1 0 0
4 0 1
1 1 2
1 1 4
3 0 1
2 4 2
10 7
2 2 2
3 3 3
1 2 1
4 4 0
1 1 0
2 0 0
1 2 4
2 0 4
2 3 4
0 2 2
10 7
2 2 1
1 0 2
2 3 0
0 0 3
2 1 0
0 1 1
3 1 2
2 1 1
2 0 3
0 2 3
10 6
4 0 2
0 4 1
0 0 3
1 3 3
0 3 3
1 0 2
0 3 2
0 1 2
0 0 0
3 1 2
10 9
1 3 2
1 1 3
2 3 2
2 3 3
0 0 1
1 2 2
0 2 2
1 0 0
3 0 1
1 1 0
10 5
3 4 4
2 3 1
1 4 3
4 1 2
3 3 3
3 0 0
2 4 3
2 0 4
4 3 1
1 0 2
10 7
4 2 2
2 1 2
1 4 1
4 2 4
3 4 2
1 1 2
2 4 1
0 3 1
3 2 0
1 1 4
10 3
1 0 1
0 1 2
2 0 2
2 0 0
1 1 0
0 0 0
0 2 1
1 0 2
0 1 1
2 1 2
10 4
1 4 4
1 1 0
3 1 2
1 0 3
0 4 3
1 1 2
2 1 2
2 1 3
3 2 4
2 1 4
10 2
1 0 2
2 1 2
2 2 0
1 2 1
2 0 0
2 0 2
0 0 2
0 2 0
0 1 2
2 1 1
10 5
2 1 2
2 0 2
1 2 1
1 1 0
2 1 0
0 0 2
0 1 1
2 0 1
0 0 0
0 2 1
10 5
5 3 2
1 0 1
5 1 0
0 0 2
2 3 2
1 0 4
4 1 2
3 3 4
1 4 1
0 2 0
10 3
1 3 3
0 1 0
2 0 3
3 0 3
2 1 2
2 3 2
1 2 1
0 1 1
0 0 3
1 1 3
10 9
1 1 2
3 3 0
3 2 2
3 3 1
1 0 2
0 3 1
1 1 1
3 3 2
3 1 3
0 0 3
10 4
0 0 2
2 3 5
0 3 1
5 1 3
4 0 3
3 5 3
2 3 3
0 1 2
5 1 2
4 3 1
10 7
2 0 4
4 0 4
1 2 1
1 3 4
0 4 3
2 3 1
1 4 3
1 2 2
3 1 4
3 0 3
10 7
0 4 0
0 4 1
4 3 2
2 1 0
2 2 0
2 3 4
4 2 2
2 0 4
2 4 0
1 3 2
10 9
2 0 4
0 5 3
0 1 1
2 4 5
1 4 0
3 0 2
5 4 3
1 4 3
3 0 1
5 0 4
10 4
3 0 3
0 1 2
3 5 4
1 4 0
3 1 2
1 1 3
1 0 0
0 1 0
2 1 0
4 4 1
10 5
2 2 1
0 2 2
0 0 2
2 0 2
0 1 1
1 2 0
1 0 0
0 2 0
0 1 0
2 1 1
10 3
2 3 1
1 1 1
2 1 0
0 0 0
2 2 0
2 3 3
3 0 2
3 1 3
0 0 3
2 2 2
10 3
2 0 1
3 1 3
3 1 1
3 3 2
2 2 3
1 0 0
0 1 1
1 1 3
3 2 3
2 2 1
10 3
3 2 4
0 1 3
4 2 3
4 0 4
0 5 3
0 3 1
2 5 2
0 5 5
2 5 0
3 1 3
10 4
2 0 0
1 2 1
2 1 1
1 1 1
0 0 0
2 0 1
1 1 2
2 0 2
1 0 0
0 1 1
10 7
2 3 0
1 1 2
0 2 0
1 3 1
0 4 4
4 4 0
2 0 3
2 0 0
1 4 3
2 0 4
10 8
1 2 0
1 2 1
1 0 1
2 0 2
0 2 0
2 1 2
1 1 1
0 1 2
0 0 0
2 2 0
10 3
1 2 4
3 1 3
2 1 2
0 2 3
2 1 0
4 3 2
3 1 2
4 2 4
2 1 4
3 4 4
10 4
0 4 2
3 4 3
0 0 0
4 0 2
1 1 2
4 0 1
2 5 0
1 1 0
2 5 3
0 0 4
10 2
0 0 1
2 0 1
1 2 1
2 2 2
2 0 0
2 1 1
1 2 2
0 1 0
2 2 0
1 0 0
10 9
2 2 2
2 1 1
1 0 0
0 2 0
0 2 1
1 2 2
0 1 0
1 1 2
2 1 2
1 1 1
10 2
2 2 2
0 1 2
1 1 1
1 0 0
1 2 0
0 2 2
1 0 2
1 1 0
0 1 1
0 0 2
10 6
4 4 2
4 2 2
4 0 3
3 0 1
2 4 4
4 3 1
4 2 4
1 4 2
0 1 1
4 3 2
10 8
3 2 2
0 3 2
2 2 3
0 2 0
3 0 0
0 0 1
0 2 3
3 1 1
3 2 0
2 3 1
10 6
2 0 1
0 2 0
1 0 0
1 2 0
3 0 3
3 2 3
1 2 1
2 3 0
2 0 3
3 2 1
10 7
5 2 4
2 1 4
2 5 3
0 2 3
4 0 3
1 5 2
1 2 5
1 5 0
4 2 0
0 0 2
10 7
5 0 5
0 5 2
1 0 1
5 3 5
5 3 0
4 5 1
0 3 3
2 2 2
5 3 2
2 5 4
10 6
1 1 2
1 0 2
1 3 3
1 0 0
2 3 3
2 1 0
1 2 1
0 3 0
1 1 3
3 2 2
10 8
2 2 2
2 2 1
1 0 1
1 0 0
0 0 1
2 0 1
0 0 2
0 1 0
0 1 2
1 1 2
10 9
2 1 1
3 4 2
2 3 0
2 4 1
2 4 0
0 3 2
3 3 0
2 1 3
4 0 3
2 3 1
10 7
1 0 2
2 3 3
2 1 1
3 3 2
1 2 3
1 1 1
3 0 2
3 1 2
0 1 2
1 1 0
10 2
2 3 2
3 2 3
2 2 3
2 1 2
1 0 3
2 1 1
0 3 2
1 3 3
0 3 3
2 0 1
10 9
0 0 1
0 2 0
2 2 2
2 1 0
1 1 2
2 1 1
0 2 2
0 1 1
2 2 1
2 0 1
10 8
1 0 1
2 2 1
0 0 1
2 0 2
2 1 2
0 2 0
0 2 2
1 0 0
2 0 0
1 2 0
10 3
0 2 1
2 3 4
0 1 2
3 1 0
3 0 3
3 4 1
3 3 1
0 0 4
2 1 1
4 2 0
10 3
0 0 2
0 2 0
1 2 2
2 0 1
1 0 1
1 2 1
1 1 2
0 1 2
0 2 2
0 0 0
10 5
2 0 4
1 0 5
0 1 1
5 0 3
2 5 2
4 1 5
0 0 5
0 5 3
0 3 0
0 5 5
10 3
2 0 4
0 3 0
5 1 1
5 5 2
1 3 4
0 4 2
0 4 4
3 4 3
1 4 5
5 3 2
10 8
1 1 1
0 1 1
2 1 0
0 0 1
2 2 0
1 2 2
0 0 2
2 2 2
2 0 2
0 0 0
10 7
3 0 0
3 3 4
1 2 3
2 0 4
0 2 0
3 2 4
4 4 1
1 3 4
3 4 4
2 1 2
10 8
0 0 0
1 2 2
1 0 0
2 2 0
2 2 1
1 0 2
2 0 0
0 1 2
0 0 2
0 0 1
10 2
3 2 0
2 0 5
3 4 3
0 0 3
0 4 2
2 2 3
0 4 0
2 4 3
1 4 3
1 5 3
10 9
0 1 0
2 0 0
1 1 2
2 2 0
1 0 1
2 1 0
2 2 2
0 0 0
1 0 2
0 1 1
10 8
4 3 2
4 0 3
2 1 2
4 1 1
2 0 2
1 1 0
0 2 0
1 3 0
0 0 0
3 2 3
10 9
0 0 2
0 1 2
1 2 0
1 0 2
2 1 2
2 0 1
1 2 1
0 2 0
0 0 1
1 1 1
10 6
1 2 1
0 0 2
2 2 0
1 0 0
2 0 0
2 0 1
2 2 1
0 1 1
2 1 2
1 2 0
10 6
2 2 3
2 1 2
0 1 2
0 2 3
0 3 3
3 2 3
0 2 0
1 2 1
3 0 1
3 0 2
10 4
2 3 1
2 3 3
2 5 1
0 0 5
4 2 0
3 2 0
1 3 0
0 2 0
4 4 2
2 0 0
10 3
0 1 0
4 2 4
0 4 4
4 3 4
4 1 0
2 0 1
1 4 1
3 4 2
1 4 2
3 3 0
10 2
0 0 2
2 3 3
0 4 1
2 3 4
2 2 0
0 3 3
4 4 0
0 3 4
3 4 2
4 2 3
10 7
0 1 0
2 2 0
1 0 2
0 2 0
4 4 1
2 2 3
0 3 4
2 0 3
3 1 2
2 3 2
10 4
4 0 2
4 2 0
1 4 3
2 0 1
4 2 4
3 3 0
2 0 2
1 2 2
2 4 4
3 0 2
10 7
3 3 3
4 0 2
1 1 0
3 4 2
4 3 4
3 1 1
2 2 0
2 3 2
3 3 0
2 0 3
10 7
0 3 3
1 2 3
2 1 3
1 4 0
1 5 3
1 0 0
5 2 1
1 1 5
5 2 5
0 2 3
10 6
1 3 2
3 0 0
3 2 1
2 0 3
2 3 0
1 0 1
0 2 3
3 3 1
0 0 3
3 0 3
10 6
1 0 4
5 3 1
2 3 4
4 2 5
1 3 4
1 4 3
2 3 0
0 2 3
3 0 4
5 5 0
10 2
4 2 3
3 2 4
3 1 3
5 1 3
2 2 0
1 1 3
1 0 0
1 0 2
2 5 2
5 1 1
10 5
4 2 0
4 3 3
2 1 1
1 3 4
2 1 2
4 4 0
2 4 4
3 3 2
3 2 3
0 0 2
10 3
2 0 2
2 1 2
3 2 0
0 2 1
3 3 0
1 0 2
0 0 1
2 1 3
1 2 2
1 3 2
10 8
1 4 5
2 4 0
1 1 0
1 0 1
4 3 2
0 3 3
2 3 4
0 5 2
3 5 4
3 4 1
10 5
0 2 2
1 0 3
1 1 0
3 2 1
2 3 1
1 0 0
1 2 1
1 3 3
0 3 2
3 0 2
10 3
0 2 0
2 2 1
1 2 1
0 2 2
2 0 1
0 2 1
1 0 0
0 1 0
2 0 0
1 0 1
10 4
1 2 2
2 3 1
1 1 2
2 3 3
3 2 0
3 1 2
3 3 2
2 0 0
1 2 1
2 1 2
10 4
5 2 5
2 1 3
4 3 4
4 5 4
5 0 5
5 2 0
5 5 0
3 2 5
4 0 3
2 2 2
10 6
2 2 0
0 4 4
5 4 0
0 1 2
4 4 4
0 5 1
2 1 4
5 2 3
1 3 4
1 3 2
10 5
4 4 2
2 3 3
1 4 2
0 4 3
1 4 1
4 0 1
1 0 0
3 0 1
4 3 0
0 0 0
10 6
1 1 0
1 1 2
1 0 2
1 0 1
2 2 0
0 0 0
0 1 2
1 0 0
2 0 0
2 1 2
10 7
3 4 4
3 2 4
2 0 0
3 2 0
4 2 2
2 2 2
1 2 4
3 3 3
2 1 0
3 4 3
10 7
4 0 2
3 4 1
0 1 2
4 4 1
3 2 3
0 1 0
1 0 0
3 0 4
4 1 4
1 4 2
10 7
0 1 0
2 1 0
3 3 3
1 1 2
3 1 3
1 3 3
0 0 2
1 0 2
2 2 2
1 2 2
10 9
4 2 0
2 4 4
3 3 4
2 1 1
2 1 2
2 2 1
3 1 3
0 4 3
2 4 0
2 2 4
10 4
0 0 1
0 1 2
2 0 1
0 2 0
0 2 2
1 1 2
2 1 0
1 0 0
1 2 1
2 2 2
10 9
0 3 2
4 4 3
4 0 3
4 1 3
3 4 2
0 0 2
3 3 4
1 0 1
1 2 2
2 0 0
10 7
5 5 4
2 3 3
1 4 1
5 0 1
5 5 5
0 5 0
3 1 5
1 1 3
1 4 2
4 0 3
10 7
1 1 0
2 1 2
2 2 2
0 2 0
1 2 0
2 0 1
2 0 0
0 1 1
0 2 2
0 2 1
10 8
0 3 0
2 1 4
4 1 2
2 1 1
1 4 3
1 2 0
0 3 3
1 3 4
3 0 0
4 3 1
10 5
1 0 2
3 3 3
1 3 3
2 3 0
3 3 0
3 0 0
0 3 2
3 2 2
3 2 1
0 1 0
10 9
5 4 4
5 0 4
1 0 2
1 3 3
4 3 3
3 4 3
5 5 3
2 2 5
3 2 5
2 4 5
10 4
1 4 3
0 3 3
4 3 4
1 4 2
2 4 4
0 1 2
4 1 4
1 2 3
2 0 4
1 0 2
10 4
2 0 1
1 3 2
3 3 3
0 2 1
1 3 3
1 0 1
2 3 0
1 1 3
1 3 1
2 0 3
10 7
2 4 1
3 0 2
5 1 1
5 0 3
0 2 0
4 5 5
4 2 3
1 0 1
2 2 4
3 1 1
10 7
4 0 5
1 1 2
5 2 1
0 3 0
0 0 4
0 2 0
3 4 1
3 3 5
0 2 5
5 3 3
10 7
2 3 2
0 4 2
1 1 3
2 0 3
1 2 5
3 1 1
2 4 3
2 4 5
3 3 1
5 2 2
10 9
0 0 3
1 2 1
1 2 3
3 3 1
0 3 1
2 3 1
3 0 1
1 0 2
0 3 0
3 0 2
10 8
4 3 1
3 3 1
1 1 2
1 2 3
0 1 3
0 0 3
3 1 1
4 0 3
2 1 0
4 1 0
10 3
0 1 0
0 0 0
1 1 0
2 1 0
0 2 1
1 2 1
2 1 2
2 1 1
2 0 1
2 0 0
10 5
1 1 0
1 0 2
2 1 0
0 1 1
1 2 2
2 2 1
0 1 2
0 0 0
1 0 0
1 1 2
10 6
1 1 4
0 2 5
3 5 1
1 0 0
5 0 2
1 5 4
3 1 3
3 1 0
4 3 2
3 3 3
10 7
0 1 1
4 4 3
2 3 1
0 3 4
0 4 2
1 0 2
2 1 4
3 2 1
0 2 0
1 4 1
10 7
0 1 0
2 1 2
2 3 2
0 0 1
3 3 3
2 2 3
2 2 0
1 2 0
0 3 0
1 2 3
10 7
3 3 1
1 2 4
4 4 1
4 3 1
2 0 1
2 2 3
1 2 2
0 4 4
3 0 4
3 0 3
10 2
1 4 3
3 3 2
1 3 4
2 4 0
1 0 4
2 0 2
0 3 2
1 2 4
4 2 0
4 0 3
10 5
3 2 1
0 3 3
2 1 2
1 2 2
2 1 3
0 1 1
2 2 2
3 0 1
1 2 3
2 3 3
10 8
1 3 1
3 4 4
0 3 2
0 3 3
1 1 2
4 0 1
3 4 0
0 2 0
1 0 3
0 2 2
10 2
3 1 2
1 3 0
1 1 2
3 2 3
0 2 0
2 3 2
0 3 1
1 1 1
3 3 2
3 2 2
10 5
5 2 5
0 4 1
4 5 0
3 1 3
5 0 0
2 4 0
4 0 1
5 2 1
0 0 2
5 3 0
10 6
0 1 3
2 2 2
0 2 3
4 0 4
3 4 2
4 3 0
0 4 4
1 0 1
0 4 2
0 3 1
10 7
0 2 1
2 2 1
2 0 1
2 2 0
1 0 1
2 1 0
2 2 2
1 0 2
1 1 0
2 1 2
10 3
2 3 2
3 3 0
0 4 3
2 0 1
2 3 4
0 2 1
1 4 1
0 0 4
2 2 1
4 0 0
10 7
2 0 2
0 2 1
1 2 1
1 1 0
0 0 2
0 2 0
0 0 0
1 0 1
1 0 0
2 1 2
10 9
2 1 1
2 3 0
2 4 3
2 3 2
3 3 1
3 1 0
3 3 4
3 1 3
0 1 3
2 3 3
10 8
1 1 3
1 0 1
3 3 2
1 1 1
1 0 2
0 2 0
2 3 3
0 0 3
3 0 0
2 1 1
10 9
3 5 0
2 1 4
0 4 2
4 2 2
5 0 3
4 3 1
3 3 2
3 1 1
5 2 2
2 5 3
10 8
3 5 5
2 3 4
5 5 4
5 5 1
4 0 4
1 1 3
0 2 3
1 4 4
2 1 0
0 2 4
10 7
1 4 4
3 4 3
1 3 4
2 1 1
1 5 3
1 5 5
4 1 4
1 3 3
1 2 4
1 2 2
10 7
2 2 0
1 1 2
1 0 2
0 1 0
2 0 0
1 0 0
2 2 2
0 0 2
0 2 1
2 0 2
10 2
2 2 2
0 1 2
0 2 1
2 1 1
2 2 0
0 0 2
2 0 0
0 0 0
1 0 0
2 0 1
10 5
4 3 4
1 1 3
5 4 1
3 1 1
1 4 0
5 4 4
1 0 5
2 1 5
4 2 5
0 0 4
10 4
4 3 4
4 1 1
4 2 4
4 4 1
0 0 0
2 1 4
1 0 4
2 4 4
1 4 2
0 4 1
10 4
1 0 1
0 1 0
0 1 3
0 3 4
4 0 4
2 2 4
3 4 0
0 1 2
3 1 3
3 3 3
10 4
2 1 4
4 0 0
2 2 0
1 0 3
3 4 2
2 4 4
2 1 0
1 3 3
2 3 0
4 4 3
10 9
2 1 1
2 3 0
3 2 0
1 2 0
0 2 2
0 0 3
0 2 0
1 1 0
0 3 1
0 3 2
10 7
0 2 2
0 0 1
1 0 0
1 0 2
2 1 1
1 1 0
1 0 1
1 2 0
2 1 2
0 1 0
10 9
1 0 0
1 0 2
0 0 1
1 0 1
1 2 0
0 1 1
0 1 2
1 1 1
0 0 2
0 0 0
10 6
1 0 1
0 2 2
1 2 4
2 0 1
0 2 0
1 1 2
2 3 1
4 2 0
0 0 2
3 4 0
10 4
0 0 2
2 1 2
0 2 1
2 0 2
1 1 1
1 1 0
2 1 0
1 2 0
0 2 0
1 0 0
10 9
4 4 2
1 4 0
2 2 2
2 3 4
4 2 1
1 1 3
4 0 3
1 3 3
1 3 0
3 4 0
10 6
1 4 1
3 3 0
0 0 3
3 1 3
0 3 3
4 0 0
0 2 3
0 3 1
3 1 1
1 1 1
10 4
0 0 1
0 0 0
0 0 2
1 1 1
1 2 2
1 2 0
2 0 0
0 2 1
1 1 2
2 1 2
10 3
0 4 1
4 2 4
3 1 1
4 0 0
4 1 3
4 3 3
0 2 3
4 0 2
2 1 0
4 4 4
10 2
3 1 1
1 5 2
1 0 5
2 0 0
2 0 1
1 3 1
5 4 3
4 5 0
2 1 0
5 1 5
10 4
4 4 1
1 3 3
1 0 3
0 4 1
3 3 1
0 4 2
1 0 1
4 1 1
1 4 0
1 4 4
10 6
2 2 0
4 0 0
4 2 1
2 4 1
0 0 1
1 4 3
3 4 1
2 1 3
3 4 2
3 0 3
10 4
3 5 2
2 3 0
3 4 1
0 1 3
0 2 1
0 0 3
1 5 5
3 4 2
3 0 2
5 0 1
10 7
0 1 0
2 2 2
0 0 1
0 2 0
1 2 2
1 0 1
1 0 2
2 2 0
0 2 1
0 0 2
10 8
0 2 1
1 2 1
1 0 0
2 1 2
1 2 2
0 1 1
0 1 2
2 0 0
1 0 2
2 2 2
10 4
2 0 0
1 2 2
2 1 3
0 2 3
0 0 3
1 3 0
0 1 2
1 3 2
0 2 2
1 3 3
10 8
1 1 1
0 1 1
1 2 3
0 1 0
1 3 1
0 3 2
3 0 2
0 3 0
3 1 2
2 1 0
10 5
2 3 0
3 1 3
2 2 3
0 3 2
1 3 0
1 1 2
2 1 2
1 2 3
1 1 3
2 2 2
10 5
3 3 0
3 3 5
1 1 2
0 2 2
4 0 1
0 1 1
1 1 0
2 3 2
4 2 4
0 0 2
10 7
2 2 0
2 2 1
1 0 0
2 0 2
0 2 2
0 2 0
1 2 1
2 0 0
2 1 1
1 1 0
10 2
0 1 5
4 0 0
0 5 2
3 5 5
2 4 0
1 3 2
4 1 0
2 5 2
1 3 5
0 1 4
10 4
4 5 0
2 4 3
3 0 5
3 3 1
2 0 2
1 1 4
2 5 0
1 1 1
3 3 2
0 1 5
10 9
2 0 1
0 0 1
1 1 0
0 2 1
0 1 2
0 0 2
1 0 2
0 2 0
2 2 0
0 1 0
10 9
3 1 2
2 3 3
3 0 1
0 3 1
1 2 1
3 0 0
2 1 3
3 2 3
0 0 0
0 2 1
10 9
2 3 0
3 3 1
1 1 0
1 2 3
1 3 3
1 2 1
2 3 1
2 3 3
1 0 2
0 2 0
10 6
1 2 2
1 1 0
0 0 2
2 2 2
0 2 1
1 1 2
2 0 0
0 2 2
1 0 1
1 2 0
10 3
4 3 4
1 3 4
4 0 3
1 2 1
1 4 1
1 2 4
2 1 4
3 4 2
2 1 0
4 2 2
10 5
1 2 2
4 3 0
2 0 2
4 2 4
2 3 1
1 0 0
3 3 0
3 0 2
4 0 3
0 0 1
10 8
1 3 1
1 0 3
0 2 1
3 1 1
2 1 1
0 0 3
0 2 2
3 3 2
1 0 1
1 3 0
10 4
4 1 5
2 1 1
4 4 2
3 5 2
3 3 2
0 2 5
0 4 2
5 2 1
0 5 0
3 3 1
10 3
2 4 3
2 1 2
4 2 3
3 3 1
5 5 1
0 3 1
2 1 1
1 0 3
0 4 3
2 4 1
10 6
0 0 1
0 2 1
0 1 2
2 2 2
2 1 2
1 1 1
1 1 0
2 0 2
2 0 1
0 1 0
10 6
2 2 2
0 0 2
3 0 3
0 1 3
2 4 4
3 1 1
2 3 2
3 3 2
1 3 0
0 4 2
10 2
2 1 1
2 1 3
1 2 1
0 3 3
1 0 3
2 2 0
0 0 0
3 0 3
2 1 0
2 0 3
10 6
2 1 3
3 5 0
3 4 0
4 1 5
1 5 4
1 3 5
1 4 0
5 2 4
4 4 3
2 2 2
10 5
2 2 2
3 0 4
0 1 0
2 1 0
0 4 2
2 1 1
4 0 2
2 2 0
4 3 2
4 3 4
10 6
1 1 2
1 0 2
0 0 0
2 1 2
0 2 2
1 0 3
2 0 3
0 2 1
1 1 1
0 3 1
10 2
0 0 0
0 2 3
3 3 1
2 1 1
0 3 1
2 2 1
1 1 2
1 2 2
3 0 0
1 0 0
10 3
1 1 0
1 2 2
0 1 0
1 2 1
1 0 2
0 2 0
1 1 1
0 0 1
2 0 1
2 2 0
10 8
2 5 1
4 3 4
1 3 2
2 5 2
0 5 5
4 2 3
1 1 4
0 5 0
1 1 5
5 0 0
10 9
4 1 4
2 0 3
0 2 4
4 0 0
4 3 4
2 3 0
3 0 2
1 4 3
2 0 1
4 2 2
10 5
2 3 1
1 2 2
3 2 1
4 3 1
3 3 4
2 4 0
1 0 1
4 1 0
1 1 4
0 2 3
10 6
3 3 0
3 1 0
3 3 2
0 1 0
2 0 2
2 0 1
1 3 0
1 0 0
3 0 1
3 1 3
10 9
1 0 0
3 1 2
0 0 3
3 2 2
0 1 0
1 2 1
0 3 0
1 1 2
0 2 1
0 0 0
10 6
1 1 0
1 3 3
1 2 0
3 3 1
1 3 2
3 3 2
2 0 1
3 4 2
2 4 1
4 4 4
10 8
2 2 3
1 0 1
0 3 0
1 1 4
5 3 3
0 3 2
5 3 5
4 1 3
5 0 0
5 5 2
10 6
0 2 2
0 1 1
2 2 0
2 0 1
1 0 2
1 0 1
1 0 0
0 2 0
0 0 0
1 1 1
10 5
0 1 0
1 0 1
1 2 0
2 1 2
1 2 1
0 0 0
2 1 1
0 1 1
2 0 2
1 0 0
10 7
2 2 3
2 1 3
0 0 1
1 1 0
0 2 1
2 2 2
3 3 3
1 0 2
3 3 0
0 3 3
10 9
0 0 3
2 3 0
1 2 3
0 2 3
2 1 1
1 1 0
0 2 1
1 1 3
3 0 0
1 0 3
10 2
2 1 2
1 3 2
3 3 0
0 0 3
2 3 3
3 0 1
0 3 2
0 2 3
1 2 3
0 1 3
10 6
2 3 2
2 2 2
3 0 3
0 1 0
2 0 1
0 2 2
3 2 3
1 0 1
2 0 3
1 3 1
10 5
0 2 1
2 2 2
0 2 2
1 2 1
1 1 1
2 0 0
0 2 0
1 0 2
1 2 0
2 1 2
10 8
1 0 1
0 2 1
3 0 0
5 1 4
4 3 0
3 3 3
2 4 2
0 1 1
3 0 1
5 4 2
10 5
3 2 0
4 1 1
4 0 0
5 0 4
1 4 0
2 1 1
2 5 2
5 3 5
0 4 5
4 5 4
10 4
3 3 4
1 4 2
3 2 1
3 0 1
0 3 2
4 3 4
3 4 0
4 4 0
2 2 1
3 0 2
10 6
1 1 2
1 2 1
2 0 1
0 2 0
2 1 2
2 2 0
1 1 0
2 2 1
1 2 2
0 0 0
10 8
2 1 3
5 3 3
3 3 2
4 0 0
5 2 2
5 3 0
2 0 0
4 2 0
5 1 2
3 4 5
10 9
3 3 1
3 0 2
3 2 0
1 2 1
0 1 2
0 3 3
2 3 0
0 2 1
3 1 2
1 0 1
10 7
5 5 2
5 1 1
1 4 4
0 2 3
3 0 5
3 0 1
3 3 2
1 3 2
5 3 5
2 1 1
10 7
2 1 1
2 0 1
1 0 2
2 2 0
0 0 2
2 1 2
1 2 1
2 0 0
2 2 1
0 2 2
10 6
2 0 5
4 0 2
0 0 4
4 0 3
1 0 1
3 2 2
5 5 2
1 3 4
5 2 1
5 3 3
10 3
1 2 4
0 3 1
3 2 1
1 5 3
2 4 4
1 0 2
5 4 2
0 1 1
1 1 4
1 4 3
10 6
0 1 0
0 2 0
1 3 1
3 0 1
2 2 0
2 3 1
3 2 0
3 2 3
3 3 2
2 0 1
10 9
1 0 1
1 2 2
2 0 1
1 1 1
1 0 0
0 2 1
2 0 2
0 1 0
1 2 0
2 2 0
10 8
0 1 1
3 3 2
0 3 0
3 3 1
2 2 3
3 2 1
1 3 1
0 3 2
2 0 1
3 1 0
10 6
2 3 3
2 3 1
1 1 2
0 1 1
0 0 2
0 0 3
0 3 2
1 0 3
1 3 2
1 2 2
10 5
1 1 0
2 1 0
1 2 2
1 2 0
1 0 0
1 2 1
0 1 0
2 1 1
2 0 0
0 2 1
10 4
1 0 0
1 1 0
2 0 0
2 2 2
0 2 1
1 0 2
0 2 0
1 1 1
2 0 2
0 1 2
10 5
1 1 0
3 2 1
0 3 0
2 3 3
0 1 0
2 1 0
3 3 1
0 2 3
0 2 1
2 0 0
10 9
0 0 3
1 0 3
2 1 2
1 0 0
0 0 1
1 0 1
3 2 3
1 1 3
2 2 2
2 1 1
10 5
2 2 2
0 1 2
0 0 1
2 2 0
1 0 2
0 1 1
1 2 2
2 0 1
1 1 0
0 0 0
10 4
0 2 1
0 1 0
1 2 1
1 2 0
0 1 1
3 1 2
0 0 3
2 1 3
3 3 1
3 3 3
10 5
2 2 0
0 1 0
2 2 1
1 3 0
0 0 0
3 2 1
2 1 2
1 1 0
3 0 0
0 0 2
10 9
2 1 1
1 0 1
0 2 1
0 1 1
2 0 2
1 0 2
0 2 0
0 1 2
1 2 0
2 2 0
10 3
0 0 3
1 2 0
1 3 2
2 2 3
2 3 3
0 2 1
2 0 1
2 3 2
0 3 2
1 3 0
10 9
1 4 0
0 2 4
0 1 1
3 0 4
0 0 2
0 3 0
3 1 2
4 1 2
2 3 3
2 1 2
10 5
3 2 5
2 3 4
2 5 4
1 5 3
5 1 1
4 1 3
4 3 2
4 1 0
0 3 0
2 3 2
10 5
2 2 2
2 0 2
1 0 1
1 2 1
0 2 0
1 1 2
2 2 0
0 0 0
1 1 0
1 0 0
10 6
1 0 1
2 2 1
2 0 0
1 0 0
0 2 2
0 0 1
0 1 2
0 2 1
1 2 1
1 2 0
10 4
0 0 2
1 2 1
0 1 1
0 0 0
2 2 2
0 1 2
2 0 1
0 1 0
1 1 0
2 0 2
10 7
5 4 2
2 3 2
3 0 3
1 2 2
0 5 5
0 1 1
2 3 3
0 0 5
3 3 3
0 1 2
10 4
2 1 0
0 0 1
0 1 0
0 2 1
1 0 2
0 2 2
1 1 1
0 2 0
2 0 1
2 0 2
10 3
1 2 2
0 1 1
2 1 0
1 0 1
2 2 1
0 2 1
1 0 2
0 1 2
0 0 0
1 0 0
10 4
2 1 0
0 2 2
1 0 2
1 1 0
2 2 2
0 2 1
1 1 1
0 0 2
2 1 1
1 1 2
10 8
4 4 2
1 1 1
3 3 2
1 2 3
2 0 0
3 2 2
3 3 4
3 0 3
1 3 0
3 2 0
10 4
4 1 2
3 2 5
2 2 5
5 4 3
5 0 3
2 3 5
0 4 1
3 1 5
1 1 2
1 4 0
10 2
0 0 2
2 1 2
3 3 1
3 2 0
1 3 0
0 0 0
0 2 1
3 1 3
2 2 2
2 1 0
10 9
2 1 1
0 1 1
1 3 0
2 2 4
3 2 3
1 4 2
4 2 3
0 3 1
4 1 1
4 1 0
10 2
2 1 3
4 4 3
2 1 2
1 5 1
2 3 5
2 5 4
4 4 2
3 4 2
3 3 4
1 1 5
10 3
2 0 0
1 1 0
3 2 3
1 1 3
0 2 0
3 1 1
1 1 1
1 2 1
3 2 0
3 1 3
10 4
0 2 0
0 0 1
2 2 2
1 2 0
2 3 3
1 0 2
3 3 1
3 3 2
3 1 0
0 2 2
10 7
1 0 3
3 3 1
2 1 2
1 1 3
1 2 0
3 0 1
1 0 1
2 2 2
2 0 1
2 3 1
10 7
1 2 0
0 1 1
3 4 3
2 3 2
4 4 5
5 1 5
5 2 0
1 2 2
5 0 4
1 5 5
10 5
4 2 0
5 3 1
3 5 5
1 2 5
3 5 4
4 4 0
2 2 0
3 3 2
5 1 5
2 3 5
10 2
0 3 3
2 2 1
1 3 2
3 0 3
3 1 3
1 3 1
2 2 2
2 2 0
0 1 3
3 2 2
10 8
2 2 2
2 2 0
0 2 2
2 2 1
1 1 1
2 0 2
0 2 0
1 1 2
2 0 1
2 1 0
10 4
3 1 5
5 5 1
0 0 2
1 1 2
1 5 5
4 3 3
4 1 4
4 0 4
0 1 3
3 3 2
10 9
0 2 0
0 0 1
1 2 1
1 1 2
2 0 1
2 1 0
0 1 1
2 0 0
2 2 1
0 1 2
10 2
1 0 0
0 2 1
1 2 0
0 1 0
0 0 2
0 1 2
0 2 0
2 2 1
2 2 2
1 2 2
10 2
4 2 1
1 2 4
1 2 5
3 3 5
3 0 3
5 3 1
2 1 0
2 4 4
3 3 4
4 3 3
10 2
2 0 3
4 2 1
4 4 3
5 2 3
4 1 2
4 1 4
3 5 4
4 0 5
2 1 4
3 2 1
10 5
0 1 2
0 2 1
3 2 0
0 3 0
1 0 1
3 2 3
1 0 2
0 0 0
0 2 3
2 2 0
10 6
1 1 3
4 2 3
4 0 1
1 2 2
3 3 3
2 4 0
0 4 3
0 2 0
1 4 2
4 4 3
10 7
1 3 4
4 2 3
2 5 4
1 4 5
5 2 4
4 4 2
3 2 1
0 2 4
4 0 2
4 1 1
10 8
1 2 3
2 1 3
3 3 1
3 0 0
1 3 0
2 3 3
0 1 2
3 1 0
0 0 1
3 1 1
10 5
0 2 2
2 1 0
2 2 1
0 1 1
1 0 1
1 2 0
2 0 0
2 0 1
1 0 0
1 0 2
10 4
3 0 3
4 4 4
3 2 0
1 4 1
4 3 0
3 0 0
3 4 4
3 3 4
3 1 1
0 1 0
10 5
3 1 0
3 2 0
1 0 1
2 0 1
0 2 2
0 0 1
0 2 0
1 0 0
3 1 2
3 3 2
10 8
3 0 2
4 1 2
5 2 1
5 0 3
3 2 5
0 3 5
5 0 4
4 2 0
2 2 3
3 4 3
10 3
3 0 3
1 3 1
1 2 0
2 3 3
0 0 2
2 0 3
2 2 2
1 1 3
1 0 2
1 2 2
10 2
2 5 1
1 4 2
1 4 0
0 5 3
2 2 0
0 0 2
0 0 1
5 3 3
1 2 5
4 1 4
10 7
3 0 0
3 1 2
3 0 1
0 4 4
4 4 4
4 0 4
4 1 1
4 2 4
2 2 0
2 1 2
10 9
4 3 0
2 0 3
0 0 4
1 1 0
1 3 3
1 2 0
2 2 0
1 2 4
3 0 3
2 4 1
10 8
1 1 1
2 1 1
0 1 2
0 1 0
2 2 3
1 1 0
3 3 3
1 2 1
2 3 3
1 3 1
10 9
4 2 2
1 3 4
3 1 1
1 1 3
0 4 1
0 2 3
4 3 3
2 1 1
4 4 0
0 2 4
10 9
4 5 1
5 2 5
3 1 0
5 0 0
0 3 1
0 0 2
0 3 3
0 4 4
3 4 2
2 3 2
10 5
1 1 0
4 2 4
0 3 2
3 3 3
4 2 3
2 4 0
1 4 1
0 5 1
3 1 5
0 1 2
10 5
0 3 4
0 2 0
3 1 5
3 0 4
0 4 0
3 4 3
3 5 3
1 4 0
0 1 5
2 3 2
10 5
2 2 0
0 0 2
1 2 0
0 0 0
1 1 2
0 0 1
0 1 1
2 0 2
1 1 1
1 1 0
10 7
1 2 1
3 3 2
2 3 2
0 1 0
3 1 2
0 3 0
3 1 1
1 1 1
3 1 0
0 1 3
10 5
4 0 4
0 3 1
3 3 0
3 4 2
2 3 3
2 4 3
0 3 3
2 3 0
0 2 4
4 4 2
10 4
1 0 3
0 1 0
2 2 0
1 0 2
3 3 1
2 2 1
0 2 2
3 0 0
1 1 0
0 1 1
10 9
0 1 2
2 1 0
0 2 0
2 1 1
0 1 0
0 2 2
1 1 1
2 2 2
0 0 0
2 0 1
10 6
1 2 0
1 0 4
4 2 5
0 4 1
3 1 1
5 1 0
5 3 2
2 3 3
0 2 1
5 4 0
10 3
2 2 1
1 2 1
2 0 0
0 2 1
1 0 2
0 2 0
1 1 2
0 1 0
2 1 1
0 1 1
10 8
3 2 2
1 1 1
3 1 3
1 3 3
1 0 1
0 2 0
0 0 1
3 0 1
1 1 0
1 2 1
10 7
0 2 2
2 1 2
1 2 2
1 1 0
1 0 0
1 1 2
2 0 0
0 2 1
1 2 1
0 1 2
10 8
2 4 1
4 2 0
4 3 2
4 4 1
0 1 4
0 0 3
2 0 2
0 1 3
0 1 1
0 3 0
10 5
3 1 3
2 0 1
1 0 0
1 2 1
1 3 0
3 3 2
0 2 0
3 1 1
0 3 1
3 0 1
10 7
3 0 1
5 5 0
1 4 1
4 2 2
0 0 1
2 5 0
3 2 2
1 3 3
0 5 3
4 0 5
10 2
1 1 0
1 2 0
0 0 0
1 0 2
2 0 1
1 2 2
2 2 0
0 1 2
1 0 1
0 2 1
10 9
5 4 5
3 4 2
2 3 4
2 1 4
0 5 5
3 4 1
2 3 2
5 1 1
5 0 4
4 3 3
10 5
0 1 2
1 1 2
2 1 2
0 2 0
1 0 1
2 0 1
1 1 0
2 1 0
1 0 0
2 0 2
10 8
1 2 2
2 2 1
1 3 3
2 2 3
2 3 1
1 0 1
3 1 3
3 2 3
3 2 0
1 1 0
10 4
3 0 1
2 3 2
3 3 0
1 1 3
1 3 2
0 0 2
1 3 1
2 2 0
1 0 1
2 1 0
10 6
2 3 1
2 2 0
0 4 2
1 2 0
1 4 1
2 1 3
1 0 4
2 4 1
0 4 1
0 3 3
10 6
2 2 3
2 2 0
0 0 1
3 2 3
2 3 0
1 3 2
1 1 3
3 2 1
0 3 0
1 2 0
10 4
3 1 1
1 1 3
1 3 1
0 2 3
0 3 3
0 0 0
3 1 0
2 1 0
1 2 3
0 1 0
10 4
2 5 5
4 0 4
0 5 4
5 4 4
0 2 5
3 3 1
0 2 0
5 1 3
5 3 0
0 3 5
10 6
4 5 4
4 4 0
5 0 2
1 1 1
0 2 3
4 4 3
5 4 3
4 0 0
3 4 5
1 1 3
10 4
2 3 4
4 2 1
4 1 0
2 1 0
1 2 4
4 0 2
4 0 1
4 4 3
2 1 4
4 2 3
10 6
1 4 5
1 5 5
4 5 1
1 1 0
2 3 5
2 1 0
4 1 0
3 1 2
5 3 4
2 1 4
10 9
0 2 1
1 2 2
1 0 2
0 0 2
2 1 1
2 2 0
1 1 0
2 2 1
1 2 1
2 0 2
10 9
1 2 1
3 0 2
2 3 2
3 3 3
1 1 3
1 2 0
0 2 3
1 0 1
3 1 2
2 0 3
10 7
2 0 3
0 3 1
3 3 0
1 3 2
0 2 3
0 2 2
0 0 3
1 1 0
0 1 2
1 0 3
10 5
1 0 2
0 0 0
2 1 0
0 1 1
0 0 2
1 0 1
1 1 2
0 2 2
1 2 2
2 2 2
10 4
2 1 0
2 1 1
0 1 2
1 0 0
2 1 2
1 2 1
0 2 0
1 1 1
0 2 1
2 0 2
10 2
2 0 4
3 2 0
2 0 1
1 2 2
1 2 0
4 2 1
3 2 2
1 3 1
3 1 2
3 0 0
10 9
2 2 2
0 0 1
1 3 2
1 0 3
2 0 2
0 2 0
3 0 0
1 2 2
3 3 3
2 3 1
10 9
2 3 0
2 1 0
4 1 1
4 1 4
1 2 3
0 3 3
0 0 1
3 3 1
3 5 0
2 4 3
10 3
0 1 0
0 1 1
0 3 0
2 4 1
2 2 4
2 1 0
1 4 2
3 0 0
2 1 1
2 2 3
10 5
0 5 5
5 5 1
3 5 4
1 5 0
0 0 0
5 5 3
3 4 5
5 4 0
2 5 2
1 4 5
10 5
3 4 4
2 4 2
2 4 1
1 2 3
4 1 2
4 3 1
3 0 2
2 1 4
3 1 1
3 4 0
10 4
2 1 1
1 1 1
1 1 2
0 2 2
2 1 2
0 2 1
0 0 2
2 0 2
2 2 0
2 2 2
10 6
0 1 0
2 3 3
1 1 2
2 1 0
2 3 1
0 1 1
3 3 0
1 3 0
0 3 2
1 2 2
10 8
2 1 3
2 1 0
0 4 0
3 4 2
1 2 0
0 4 3
3 0 1
2 2 3
4 1 3
2 3 3
10 9
0 2 2
1 0 3
1 3 3
3 2 1
3 3 0
0 0 2
0 2 3
0 2 0
1 3 2
1 1 2
10 2
4 2 3
0 4 4
4 0 0
4 3 4
2 4 2
0 3 3
3 4 3
2 4 0
1 3 1
3 0 2
10 2
5 4 1
3 1 2
5 1 3
1 1 3
4 1 2
2 0 2
1 0 2
2 3 2
3 2 1
4 3 1
10 9
0 3 1
3 4 4
2 3 3
4 0 1
4 0 3
3 2 4
0 3 0
0 0 3
2 0 3
3 0 4
10 6
0 0 2
2 3 2
1 3 2
1 3 3
1 0 0
1 2 0
3 0 1
1 2 3
3 2 2
0 2 3
10 2
1 3 4
2 2 0
2 3 0
0 1 3
3 1 1
4 3 1
4 3 2
3 0 2
4 4 0
4 0 3
10 3
0 0 2
2 0 1
0 0 0
2 1 0
0 2 1
1 0 0
2 2 2
1 1 0
2 0 0
1 2 1
10 5
4 3 5
5 3 1
3 1 3
0 1 0
5 2 1
2 1 3
3 1 2
3 1 0
4 0 5
2 1 0
10 7
0 2 1
2 1 0
3 0 2
0 1 1
2 3 1
1 1 0
2 1 1
0 1 3
1 2 2
1 0 0
10 8
2 4 0
2 0 0
0 0 2
3 1 1
0 2 0
3 1 0
0 3 0
3 3 2
0 0 1
0 1 1
10 4
0 2 1
3 2 0
0 0 1
3 2 1
2 3 0
0 3 1
1 1 2
0 1 3
0 3 3
4 1 2
10 7
0 4 0
3 1 0
1 5 1
5 1 0
3 5 4
4 2 3
3 4 2
0 3 2
0 0 2
1 4 5
10 3
1 1 4
3 5 5
5 4 5
5 0 0
5 2 3
4 2 4
2 2 2
2 5 0
3 4 2
2 5 5
10 6
0 1 2
0 3 2
0 1 1
0 2 0
0 2 2
1 2 2
1 0 0
0 1 3
2 3 1
0 2 1
10 6
0 1 0
1 1 2
2 2 1
1 0 2
1 1 0
0 0 0
1 2 0
2 1 1
1 1 1
1 2 2
10 6
3 2 0
2 3 4
1 3 3
0 3 0
4 1 1
5 0 2
2 5 1
5 1 0
0 1 1
3 1 5
10 7
4 0 1
1 0 4
1 4 1
4 3 1
0 3 2
0 2 1
3 3 2
1 0 2
1 4 3
1 4 0
10 3
0 2 0
1 2 2
0 1 0
1 0 0
0 0 0
1 0 1
1 1 2
2 1 1
2 0 2
1 2 1
10 7
2 0 2
4 2 4
0 4 0
4 1 0
0 4 2
4 0 4
3 1 1
1 1 0
4 3 0
0 2 1
10 7
3 0 2
4 3 1
1 1 3
2 1 0
0 3 0
3 3 4
4 2 3
3 0 3
2 0 0
2 2 0
10 5
2 1 1
2 0 2
0 1 0
2 2 2
1 2 2
1 1 2
2 2 0
0 0 2
0 2 1
1 1 1
10 7
3 0 3
1 0 4
0 2 2
1 2 4
1 2 1
1 3 0
3 2 1
4 1 0
4 2 3
1 3 3
10 3
4 3 4
4 1 3
0 2 2
3 3 3
4 2 4
0 2 0
4 0 4
4 1 0
4 0 0
1 4 0
10 7
1 3 0
0 0 1
5 5 0
2 5 5
4 2 2
2 2 3
5 1 2
2 2 4
2 4 5
5 5 3
10 9
2 0 1
0 1 1
1 0 0
2 1 2
0 2 2
0 0 0
1 1 1
1 0 1
1 2 2
1 2 0
10 7
1 1 0
2 1 0
1 0 3
3 1 1
1 1 3
2 3 2
3 2 2
0 3 0
1 3 0
1 2 1
10 6
2 0 0
3 1 1
3 0 1
0 0 1
0 2 0
2 2 3
3 1 0
3 3 3
3 2 0
3 0 2
10 5
1 2 2
1 1 1
2 0 1
1 0 2
1 0 1
2 2 2
2 1 2
0 1 0
0 2 1
1 1 0
10 6
4 3 0
4 3 4
4 2 0
2 3 2
2 0 1
0 2 2
0 0 4
4 1 0
4 3 3
0 2 4
10 9
4 3 5
0 1 0
4 3 3
1 5 5
1 0 4
5 0 2
3 3 4
1 0 3
4 2 3
4 0 2
10 4
3 4 2
1 2 2
2 5 1
2 4 1
3 0 3
4 5 4
3 3 0
3 3 1
2 2 1
0 2 2
10 6
3 1 3
1 0 3
3 3 2
0 2 0
0 0 0
3 2 2
1 1 2
2 1 0
1 2 2
1 2 1
10 2
1 3 1
1 2 3
0 3 1
0 2 3
3 3 2
3 0 3
2 0 3
1 2 1
1 2 0
3 3 3
10 4
1 2 1
1 2 3
1 2 0
1 0 1
1 0 0
2 3 2
1 1 2
3 2 0
0 1 0
2 0 0
10 7
5 2 1
4 4 3
5 5 5
2 5 2
1 1 4
1 5 1
1 3 4
5 0 2
0 2 0
4 0 4
10 8
3 4 3
4 3 1
0 1 4
1 2 4
1 0 3
4 3 4
1 4 4
2 0 0
1 1 0
2 4 3
10 4
0 2 2
2 1 0
2 2 1
1 1 1
0 1 2
2 0 2
1 0 2
1 2 1
0 2 0
1 0 1
10 2
2 2 4
4 5 0
4 5 1
2 5 1
5 3 4
1 0 5
1 0 4
4 1 4
3 5 2
5 1 0
10 2
0 4 0
2 3 1
1 2 1
2 0 4
2 1 3
4 0 1
3 1 3
3 2 3
3 2 4
3 4 3
10 7
2 0 1
2 2 2
1 0 0
2 2 1
0 2 3
2 3 2
0 3 2
1 2 2
2 0 2
1 1 2
10 5
0 0 2
0 0 3
0 3 0
0 3 2
3 3 0
0 2 3
0 1 0
2 3 3
2 2 0
1 1 0
10 9
2 0 3
1 4 3
2 4 3
4 3 2
4 0 1
4 3 4
0 4 1
2 0 2
0 3 1
4 0 0
10 5
0 1 3
2 0 2
2 3 1
2 2 2
3 1 1
1 2 2
0 2 3
1 2 3
2 2 3
3 2 3
10 7
5 5 4
3 2 4
5 2 4
0 1 0
0 5 4
3 0 5
4 0 3
1 2 0
5 3 1
1 3 4
10 6
2 1 0
1 1 0
2 0 2
0 2 0
1 2 0
2 2 1
0 1 2
1 2 2
0 1 0
1 1 1
10 7
2 4 4
3 5 3
1 4 2
1 4 4
2 3 1
0 0 5
2 0 4
3 5 0
2 2 4
2 2 2
10 2
0 5 3
5 3 2
5 2 4
0 5 2
5 2 3
3 5 1
3 1 1
2 4 5
3 1 3
3 5 3
10 7
1 1 0
2 1 3
3 0 3
1 0 2
1 0 0
2 0 2
0 2 2
0 1 3
3 1 3
2 2 3
10 8
0 1 0
4 1 0
4 0 2
2 0 4
2 1 0
3 4 4
0 1 2
0 2 2
4 1 2
2 3 2
10 9
3 0 1
1 2 2
0 0 1
1 1 0
1 2 1
2 3 0
2 0 1
1 3 2
1 1 1
1 3 0
10 3
2 0 0
0 1 2
1 2 0
2 2 2
2 2 1
1 0 1
2 1 2
0 2 0
0 2 1
0 1 0
10 3
1 0 3
1 3 1
2 0 2
2 2 1
2 3 3
2 0 0
0 2 1
1 3 3
2 1 1
2 2 2
10 6
5 2 4
2 0 2
4 4 2
1 2 4
1 4 2
0 5 5
4 0 2
0 0 5
3 0 2
0 5 3
10 8
5 3 5
5 3 3
5 2 0
0 5 2
2 5 4
0 2 1
0 2 4
2 0 4
2 4 0
5 1 2
10 8
3 2 2
0 0 0
3 3 2
3 2 0
0 1 1
1 1 0
2 3 0
1 3 2
0 3 3
1 0 3
10 7
2 0 2
0 1 5
1 2 0
5 4 3
5 2 5
5 5 0
3 0 0
4 3 5
3 5 0
1 4 1
10 6
0 4 5
2 0 5
5 1 1
5 5 3
5 1 0
5 3 2
2 1 2
3 1 1
2 3 0
3 1 5
10 2
3 2 2
2 4 0
3 0 2
3 0 0
0 4 1
3 1 2
0 1 0
2 4 2
3 2 1
3 0 3
10 4
3 3 3
4 4 4
0 2 4
2 1 3
3 3 2
3 0 0
0 4 4
4 0 4
2 1 2
3 4 2
10 4
0 0 2
1 1 1
0 2 2
0 2 0
2 2 0
2 0 0
0 0 0
1 2 2
2 1 2
2 0 2
10 6
3 4 3
0 0 1
2 0 1
2 3 3
3 1 0
1 2 3
1 3 1
4 4 1
1 1 3
3 2 3
10 3
2 3 3
1 1 0
3 1 3
1 1 1
3 1 2
3 1 1
0 1 0
0 3 0
3 2 2
3 3 2
10 8
3 0 4
2 4 0
3 0 1
0 2 2
3 3 0
0 3 0
4 1 2
3 4 4
1 4 4
0 4 1
10 8
2 2 1
1 2 1
2 0 1
2 2 0
0 0 0
0 0 2
0 2 0
2 1 2
0 2 2
1 1 0
10 9
2 2 1
3 1 2
0 2 2
2 3 1
3 3 2
1 2 1
0 1 0
2 0 3
3 1 1
1 2 3
10 9
4 0 3
3 2 1
0 1 3
4 2 0
0 3 2
2 2 2
4 1 3
1 1 0
4 2 3
4 4 4
10 8
0 1 1
2 1 0
1 2 0
0 2 1
1 2 1
2 1 2
2 2 1
1 0 0
0 0 2
1 2 2
10 6
0 2 0
1 1 1
1 0 0
2 0 2
2 1 2
1 2 1
1 2 0
2 2 0
2 1 0
1 1 0
10 2
1 2 1
2 1 1
0 0 2
0 2 0
2 1 2
1 1 2
1 1 1
0 0 0
1 2 0
0 2 2
10 2
2 0 0
3 3 2
4 4 3
0 4 3
2 1 4
3 2 1
4 4 1
2 2 2
1 2 1
0 0 1
10 5
3 3 1
1 2 1
2 3 3
2 1 0
2 2 2
0 0 1
3 1 1
2 0 1
3 2 1
0 3 1
10 2
4 0 4
2 3 3
4 2 3
3 2 2
1 3 0
3 1 3
3 3 1
2 4 0
3 0 2
0 1 3
10 4
4 2 0
4 3 3
3 5 3
4 1 4
1 0 0
0 5 0
5 2 0
0 5 1
0 2 4
5 4 2
10 2
3 3 0
5 2 0
3 3 5
2 3 2
5 0 4
2 5 5
4 5 1
4 1 4
2 1 5
4 3 2
10 9
1 1 5
1 3 5
0 2 4
0 5 5
4 0 1
4 5 2
0 0 5
5 3 4
1 3 1
3 4 0
10 9
3 1 2
1 4 1
2 1 0
2 3 3
1 0 2
0 3 3
0 3 4
2 4 1
1 3 4
4 1 0
10 4
0 1 2
4 1 5
0 4 0
4 5 5
4 4 3
2 3 3
3 4 3
5 5 4
0 3 4
0 1 5
10 2
0 4 2
1 2 3
4 5 5
1 5 0
3 4 3
4 3 3
0 0 0
2 0 0
0 1 0
0 1 2
10 3
0 3 3
2 1 2
1 0 2
2 2 1
2 1 1
3 1 0
3 2 0
2 3 1
0 1 1
1 2 2
10 8
2 0 2
1 0 1
0 2 2
2 1 0
0 1 0
1 2 2
1 1 2
2 1 1
2 2 0
1 0 2
10 9
2 5 5
5 2 1
3 2 3
2 2 5
2 2 1
3 5 2
1 4 3
2 4 3
0 4 2
3 2 5
10 5
1 1 4
0 0 4
0 3 2
2 2 4
2 3 1
2 1 0
4 1 2
2 0 0
1 0 3
0 2 1
10 7
3 3 0
1 2 2
0 3 3
0 2 2
0 3 0
0 0 2
3 0 1
3 1 3
2 0 0
0 2 0
10 8
0 1 1
2 2 0
0 0 2
1 1 1
0 1 0
1 2 0
0 2 1
0 0 1
2 0 1
1 2 2
10 4
1 1 1
1 1 2
2 0 2
2 2 2
0 1 1
0 1 0
0 0 2
0 2 1
1 2 1
1 0 0
10 9
3 5 2
5 3 0
1 4 0
2 2 3
3 1 0
5 1 0
2 4 2
3 3 1
4 1 1
5 4 5
10 5
0 3 0
3 3 1
3 1 0
1 0 2
0 1 0
1 2 0
2 2 2
2 3 1
1 0 1
3 2 2
10 7
2 2 0
4 4 1
5 2 2
4 0 0
5 4 0
0 5 3
0 0 3
0 1 3
1 0 1
5 3 1
10 9
1 3 1
3 1 1
2 0 1
0 0 1
2 3 2
1 2 0
0 2 1
3 1 3
3 0 2
2 1 0
10 8
2 0 0
0 2 0
2 2 0
1 1 1
2 1 2
1 0 2
0 1 2
1 2 0
1 1 0
0 1 1
10 5
4 5 2
2 4 4
5 0 0
0 4 5
1 5 2
4 0 5
4 1 0
0 5 3
1 5 3
2 5 4
10 6
0 2 1
3 2 0
2 1 3
3 3 1
1 0 3
0 2 2
1 1 3
0 0 1
2 1 0
0 1 3
10 3
0 2 5
2 1 0
1 3 2
3 0 0
0 3 0
2 4 5
1 0 1
0 5 4
4 5 1
3 1 1
10 4
2 4 3
3 3 2
0 4 5
1 1 5
4 5 1
1 5 3
0 5 3
2 0 4
1 4 0
4 4 2
10 5
2 1 0
1 1 2
2 2 0
1 2 0
1 2 1
1 0 0
0 0 2
0 0 1
0 2 2
0 1 0
10 5
0 0 2
0 4 4
1 4 0
3 0 3
0 0 0
3 3 0
2 1 3
4 3 0
1 3 2
2 0 3
10 6
3 2 0
3 0 3
3 3 1
1 0 2
2 3 0
1 1 0
3 3 0
1 3 2
3 2 3
2 0 1
10 4
3 1 3
3 1 1
1 0 1
3 0 0
0 1 1
3 3 3
0 3 1
3 2 1
2 1 0
2 3 1
10 4
2 4 4
0 0 4
2 0 3
1 1 1
3 4 4
2 2 2
3 2 2
2 1 2
4 3 3
4 4 1
10 4
5 2 1
3 1 0
4 0 4
5 3 3
0 5 1
1 5 2
0 4 4
4 5 2
0 1 2
0 2 2
10 5
3 2 3
1 3 1
1 0 0
2 0 1
1 1 0
2 3 3
0 0 3
2 3 0
3 3 2
1 2 0
10 6
0 2 2
3 1 0
0 1 1
2 2 0
0 0 1
1 1 1
0 3 1
1 1 0
1 2 2
2 0 0
10 3
1 3 2
3 4 2
0 0 2
1 2 2
2 4 1
3 0 2
0 3 3
3 0 1
1 4 4
1 2 0
10 4
3 4 2
2 0 1
1 3 3
3 3 2
2 0 0
1 4 1
0 4 2
4 1 4
4 2 0
2 3 1
10 3
4 2 4
3 1 4
3 1 1
1 0 1
4 4 1
4 4 4
0 2 2
2 4 4
4 2 0
0 3 2
10 2
1 3 4
4 2 4
1 4 3
1 3 1
2 1 2
3 4 2
3 1 4
1 3 0
1 0 3
2 1 3
10 5
2 2 1
2 2 0
0 2 2
1 2 1
2 0 0
2 1 0
1 1 1
1 0 2
0 1 1
2 1 2
10 5
0 1 2
1 1 3
1 1 0
2 0 1
2 3 2
2 2 0
3 0 0
3 3 2
0 2 0
2 2 2
10 2
2 4 3
5 5 2
2 2 4
5 3 2
3 3 3
5 3 0
0 4 3
4 4 2
2 3 2
4 5 3
10 5
5 5 4
1 5 5
4 4 5
4 4 4
3 1 4
1 4 2
3 2 4
0 4 2
3 3 5
0 5 3
10 9
1 2 3
1 2 0
2 4 0
0 3 4
2 3 4
3 4 2
4 4 4
2 0 2
2 4 2
4 4 2
10 7
3 0 0
3 0 1
0 2 2
2 3 3
1 3 1
3 1 0
2 0 2
2 1 2
0 0 0
3 2 1
10 8
3 0 3
1 2 3
0 3 2
1 3 3
3 2 3
0 0 0
1 1 2
1 3 1
2 0 1
1 1 3
10 9
2 2 2
5 3 3
0 1 1
3 5 4
2 1 3
3 0 5
1 1 0
5 0 1
3 0 0
2 0 2
10 3
1 3 0
0 1 0
1 1 3
1 2 4
4 2 3
3 1 3
1 0 4
4 0 1
3 1 4
2 1 3
10 8
1 0 1
0 0 1
1 2 2
0 2 0
2 1 2
2 0 2
0 0 2
2 1 1
1 1 2
0 2 1
10 6
2 0 0
1 1 0
3 3 1
2 1 0
3 3 3
0 4 4
3 0 3
0 2 5
3 5 1
0 2 2
10 5
2 3 1
4 3 1
1 1 3
1 0 2
0 0 2
1 4 4
2 1 0
2 4 3
4 2 0
3 3 3
10 9
0 1 4
1 0 4
4 3 4
1 2 4
3 2 1
4 1 0
2 4 1
0 3 1
2 0 2
0 3 2
10 9
1 0 0
1 5 1
1 4 0
3 5 4
0 1 2
5 5 4
1 2 5
5 0 3
5 0 1
1 4 2
10 9
1 4 3
4 0 2
4 3 3
1 0 4
4 1 3
0 1 2
1 0 3
0 4 3
1 2 2
1 3 1
10 3
4 4 5
5 2 2
4 0 0
5 2 0
1 2 0
5 0 1
4 2 2
1 0 4
3 0 4
2 0 3
10 5
0 1 2
0 0 1
1 1 2
1 0 0
2 1 1
1 2 2
0 2 0
2 2 0
2 0 0
0 1 1
10 6
2 3 0
3 2 1
0 1 2
2 1 0
0 3 1
2 2 3
1 1 1
0 3 2
2 3 1
0 0 3
10 4
2 1 4
0 1 0
4 4 3
4 1 4
4 2 4
2 3 3
1 4 2
2 0 3
0 3 0
3 3 1
10 9
3 2 2
3 3 0
3 1 1
1 3 2
1 1 0
3 1 2
2 2 1
2 3 1
3 3 2
1 0 0
10 9
5 1 0
5 2 3
1 0 1
2 4 2
4 4 4
3 2 0
3 1 3
3 4 2
0 0 1
3 0 3
10 7
5 3 5
4 1 2
1 3 0
1 3 5
3 0 3
2 4 2
4 2 0
2 0 3
0 3 2
4 0 1
10 9
3 0 2
3 1 0
1 3 2
3 3 2
3 1 1
3 2 0
3 3 3
2 2 3
1 2 3
0 3 2
10 6
2 3 0
2 4 3
4 4 0
1 3 1
0 2 0
4 3 1
4 1 3
0 2 3
4 4 3
0 3 3
10 4
2 2 2
1 0 2
0 2 1
0 2 0
1 1 2
0 2 2
0 1 1
2 2 0
0 0 1
2 1 2
10 5
2 3 3
2 1 1
0 1 1
3 3 2
2 0 0
2 1 2
2 2 2
2 0 2
0 1 3
0 0 3
10 6
2 2 1
2 1 2
1 0 1
2 2 2
1 2 0
0 0 0
0 1 2
0 2 0
1 2 2
0 1 0
10 2
2 1 1
1 1 1
1 2 0
0 3 2
0 2 2
3 3 1
1 1 2
2 0 2
1 3 1
0 3 0
10 4
1 3 2
1 2 4
0 0 3
2 4 2
0 3 4
2 2 0
4 0 1
0 1 4
3 3 4
0 2 1
10 6
2 2 0
1 1 1
2 0 2
0 0 2
0 1 0
0 2 0
0 2 2
1 1 2
2 2 2
1 0 2
10 5
2 2 2
2 1 0
1 0 0
1 1 1
0 0 1
0 0 2
2 0 2
2 2 0
0 1 2
1 1 0
10 3
2 0 1
4 0 3
1 2 3
0 4 1
1 4 1
3 0 4
1 2 0
1 0 2
4 1 1
3 4 4
10 9
2 2 4
3 1 1
0 2 4
2 3 2
4 0 0
2 4 4
4 2 0
0 3 4
4 1 2
1 0 4
10 3
1 3 1
0 1 1
1 1 2
0 1 2
2 1 0
1 0 3
2 2 2
0 0 0
1 3 2
1 3 3
10 4
0 2 1
2 1 0
0 3 1
3 0 0
3 3 3
0 3 3
3 3 0
1 2 3
0 2 2
3 2 0
10 6
2 0 3
2 2 0
0 3 1
3 3 2
3 3 3
3 1 1
1 3 1
3 2 2
3 1 0
0 0 1
10 7
2 2 2
0 1 1
0 0 0
1 2 0
2 1 2
1 2 1
0 0 1
0 2 0
2 0 2
2 1 0
10 5
2 0 1
2 2 0
1 2 2
2 2 1
1 1 2
1 0 2
1 1 1
0 2 1
0 0 2
1 0 0
10 9
2 3 1
3 1 1
0 2 0
1 0 1
0 0 1
0 3 0
1 1 0
1 3 2
3 3 0
1 1 3
10 7
1 4 0
3 2 0
0 4 0
0 1 5
4 2 4
4 1 5
4 5 3
0 1 4
3 1 1
5 4 5
10 2
5 2 5
4 4 2
5 5 0
1 4 0
2 3 5
1 4 5
4 2 4
3 1 1
1 5 3
4 5 4
10 5
0 1 2
1 1 3
3 3 3
0 3 2
2 2 2
1 2 1
0 0 0
2 3 2
1 3 0
1 2 3
10 2
4 1 3
0 3 2
5 2 3
0 1 2
5 0 3
0 3 5
0 2 1
2 1 4
3 5 0
1 2 0
10 3
1 1 2
0 0 2
0 0 1
2 0 1
2 1 2
2 1 1
2 2 0
0 2 1
1 2 2
1 2 0
10 8
1 5 3
5 1 0
4 2 2
0 0 1
4 2 0
3 3 4
4 4 4
2 5 0
0 3 3
1 4 1
10 9
5 0 3
3 3 0
3 1 2
4 3 0
1 3 5
3 2 4
4 5 0
5 2 5
1 5 0
0 0 2
10 7
0 3 3
2 2 2
0 3 1
1 2 2
2 1 3
1 2 0
1 3 1
2 1 2
1 3 3
0 0 3
10 5
4 2 4
1 3 2
4 3 0
4 4 1
3 0 4
0 0 0
0 4 2
4 1 4
3 3 4
0 0 1
10 7
2 4 4
3 3 3
1 1 3
3 1 1
1 4 1
3 4 1
2 3 2
1 4 2
1 3 3
2 3 3
10 6
4 1 3
1 1 3
1 0 2
3 1 3
0 0 0
3 2 0
0 3 2
0 0 4
2 1 0
0 2 4
10 9
0 2 3
3 3 0
2 0 3
2 0 0
0 2 0
0 1 0
0 3 1
3 2 3
3 0 2
0 1 2
10 2
5 0 4
0 2 4
2 4 4
4 4 1
2 5 2
0 5 1
4 2 4
4 2 2
3 1 1
0 1 0
10 8
0 3 2
1 0 0
0 2 1
1 1 1
1 3 3
0 0 2
0 1 3
1 2 2
3 1 2
1 3 1
10 3
3 4 2
0 4 1
1 2 3
4 1 2
1 0 1
3 4 1
3 1 1
0 4 3
0 0 2
2 2 1
10 2
1 4 4
3 3 0
3 2 3
2 3 0
1 2 3
0 2 2
3 1 2
0 2 4
3 4 1
3 0 4
10 7
2 1 0
2 1 1
0 0 0
1 2 1
2 2 0
0 1 1
1 1 0
2 0 0
1 2 0
1 1 2
10 4
2 2 1
3 0 0
0 3 2
0 1 3
1 0 2
2 1 1
3 2 0
3 1 3
1 1 1
3 0 2
10 4
0 4 2
0 3 2
0 4 1
0 3 4
2 2 3
1 0 0
4 3 0
1 1 0
1 1 2
2 2 0
10 5
5 2 3
3 5 2
0 0 5
3 4 3
5 5 4
5 2 1
2 5 3
5 5 1
1 0 1
5 3 4
10 9
0 0 1
2 0 2
2 2 0
2 0 0
1 0 2
2 1 1
2 2 1
0 0 0
2 1 2
0 1 2
10 8
5 4 0
3 4 4
0 3 5
0 5 4
4 5 0
2 2 4
1 3 1
1 4 4
4 5 5
4 5 4
10 2
1 4 1
3 5 1
0 4 4
5 5 0
1 5 1
4 5 3
2 4 4
4 4 4
0 0 5
0 2 0
10 6
1 0 1
1 2 2
0 1 0
1 2 0
1 1 0
0 1 1
1 1 1
0 0 0
2 1 1
2 1 2
10 2
4 1 2
1 5 5
5 4 2
3 4 4
4 5 5
4 3 5
5 3 3
4 3 3
0 1 1
1 1 2
10 6
0 1 0
1 0 0
0 0 2
0 2 2
0 2 0
2 1 2
2 0 2
1 2 0
1 1 0
0 2 1
10 5
1 3 0
1 1 1
2 0 0
3 0 0
2 1 3
3 2 0
3 1 2
1 0 1
1 0 0
0 0 0
10 6
1 0 0
3 0 3
1 2 2
0 2 1
0 3 2
2 0 3
3 3 1
2 0 2
0 0 3
3 3 3
10 8
1 0 1
2 2 2
1 1 0
2 0 1
0 1 2
1 2 1
1 2 0
2 2 1
0 0 1
0 1 0
10 2
4 5 3
2 3 2
1 1 3
3 0 2
5 5 2
0 1 3
1 0 0
0 3 5
5 0 2
4 5 4
10 5
1 0 2
2 2 2
2 1 2
3 0 0
0 2 0
2 3 1
0 2 1
2 0 2
0 2 2
1 2 2
10 6
0 2 1
2 1 1
2 2 0
1 2 1
0 0 2
0 1 1
0 0 1
2 1 0
2 0 2
1 1 1
10 4
3 1 0
3 2 2
3 2 3
2 1 2
0 0 2
1 3 0
1 0 0
3 2 1
0 1 2
2 3 1
10 4
3 3 4
1 0 0
5 4 5
3 5 0
1 1 1
1 5 2
0 0 0
3 1 0
5 3 4
0 3 3
10 5
0 2 1
2 0 2
1 0 0
0 2 2
0 1 1
1 2 2
1 1 2
2 2 1
0 0 1
1 1 1
10 5
0 3 2
4 4 3
1 3 4
2 4 3
4 4 4
3 3 3
2 2 3
1 4 3
4 0 4
2 2 4
10 2
1 0 0
0 1 0
0 2 1
2 0 2
1 1 2
2 1 1
0 1 2
1 0 2
1 2 1
1 2 0
10 3
2 0 0
2 1 1
2 2 2
1 0 0
1 1 0
0 2 2
0 1 0
2 0 1
2 2 1
2 2 0
10 5
1 1 2
1 0 2
0 0 2
0 1 2
2 0 2
2 0 1
1 0 1
0 0 0
2 1 1
0 2 2
10 3
0 0 3
4 0 5
1 4 4
1 4 1
0 2 2
4 3 2
2 1 1
3 1 5
1 5 5
5 1 5
10 6
2 2 2
1 2 0
1 1 2
2 1 1
0 1 0
0 0 0
0 1 2
2 0 0
1 1 1
2 0 1
10 2
5 4 2
4 4 5
5 3 1
1 2 2
2 0 3
2 3 1
1 3 1
0 0 5
4 5 1
3 1 3
10 4
5 4 2
2 4 0
5 0 1
3 5 1
1 2 3
3 0 3
5 1 4
4 0 3
5 0 3
0 0 4
10 5
0 0 1
2 3 3
1 1 1
0 1 4
4 2 4
4 0 0
0 1 2
3 4 2
3 2 0
1 0 0
10 3
1 1 0
2 1 0
3 0 3
2 2 2
1 3 3
0 1 1
0 1 0
3 1 0
2 3 0
1 3 1
10 8
3 4 0
0 3 3
5 5 2
4 2 0
2 2 4
3 2 1
4 0 4
5 2 0
2 1 4
4 5 2
10 2
1 3 2
3 1 1
2 0 2
0 2 3
3 2 0
3 3 3
0 1 1
0 3 0
0 1 3
1 2 0
10 6
0 2 2
1 1 2
2 1 2
0 2 0
2 2 1
2 0 1
1 1 0
2 1 1
0 0 2
0 2 1
10 3
1 1 3
2 4 4
2 3 0
2 3 1
1 4 4
1 0 3
3 3 2
0 3 4
1 2 3
4 0 2
10 8
3 5 0
1 4 0
5 2 5
1 1 3
0 4 1
5 1 2
1 4 5
0 0 4
5 0 1
2 2 2
10 2
2 1 2
3 1 1
1 2 0
0 3 3
0 1 0
1 2 1
0 4 0
4 1 1
1 2 4
3 1 4
10 7
2 0 1
2 1 1
0 2 0
2 2 1
2 2 0
1 2 2
2 1 2
1 1 2
2 0 0
0 1 2
10 3
1 0 0
2 2 2
1 2 2
1 0 1
1 2 1
0 1 1
1 1 0
0 0 2
0 2 2
2 2 0
10 6
4 0 0
0 2 3
5 5 0
0 1 3
2 5 3
0 1 5
2 0 2
4 1 3
2 3 3
2 4 2
10 6
2 3 2
5 1 0
2 2 0
0 3 3
2 5 0
2 1 4
1 5 5
3 3 3
4 1 3
2 1 0
10 5
1 0 0
1 2 1
2 1 2
2 1 0
2 2 0
0 1 2
1 1 0
0 0 0
1 0 2
0 1 0
10 3
3 0 2
3 1 3
2 3 2
2 2 0
1 1 3
2 3 0
0 0 1
2 2 1
0 1 0
3 3 2
10 5
1 2 3
0 0 3
3 1 1
0 0 2
3 0 2
1 0 0
2 3 0
0 0 0
0 2 0
0 3 2
10 6
2 2 1
0 0 2
0 1 3
2 3 2
0 3 3
1 3 3
2 3 0
1 1 3
2 3 1
2 1 3
10 9
0 0 0
2 2 2
0 0 2
1 1 2
1 1 1
0 1 2
1 2 2
1 0 0
0 2 1
1 2 1
10 4
2 1 2
2 3 3
3 1 4
1 1 4
0 1 2
2 4 1
3 2 0
4 1 4
4 1 2
3 2 4
10 9
2 0 0
1 0 0
2 2 2
0 1 0
2 0 1
1 2 1
1 2 0
0 1 1
1 0 2
1 0 1
10 6
0 0 1
2 1 2
0 2 0
2 0 2
1 2 1
2 2 2
1 2 2
2 0 1
1 1 1
0 1 2
10 9
2 2 4
3 0 3
1 0 3
1 2 4
1 3 4
1 2 0
1 2 1
0 3 3
4 2 1
3 1 2
10 9
4 3 1
5 3 2
0 1 0
2 2 3
0 1 4
1 2 3
4 4 0
3 3 2
3 4 2
4 2 5
10 9
2 3 2
3 3 3
3 1 3
1 1 0
2 2 3
0 3 2
1 1 2
0 3 0
2 0 0
2 0 3
10 3
2 0 1
3 4 4
0 4 2
0 1 1
2 0 4
3 0 1
1 1 3
4 0 4
2 4 0
1 1 0
10 8
2 1 0
0 0 2
0 0 0
2 1 1
2 0 2
0 2 0
0 0 1
0 2 1
1 2 1
0 2 2
10 9
2 4 3
2 0 3
4 0 2
3 3 3
1 3 4
3 4 1
1 2 1
1 0 4
4 4 4
2 2 2
10 8
2 0 1
1 0 1
0 0 2
0 1 2
0 2 2
1 0 0
2 1 1
2 2 0
2 0 0
1 2 2
10 4
5 0 1
5 0 5
5 0 3
2 0 2
5 2 2
3 1 1
0 5 1
5 5 0
4 0 0
4 5 4
10 6
2 5 3
3 4 5
1 0 4
4 2 1
0 3 5
5 2 2
1 3 0
0 2 0
3 2 2
0 5 1
10 8
2 5 5
3 3 2
4 0 3
4 5 0
1 0 2
3 5 4
3 2 5
0 1 3
2 3 1
5 3 2
10 7
0 5 2
0 0 3
0 4 1
4 5 4
5 4 0
2 5 4
3 3 5
0 5 3
4 2 3
1 5 5
10 2
4 0 3
3 2 1
3 2 2
4 4 0
2 2 2
2 1 0
4 4 2
3 0 0
0 0 2
0 1 4
10 9
2 2 2
1 0 1
0 2 2
0 1 0
0 2 1
2 1 2
1 1 2
2 1 1
1 0 2
2 0 1
10 8
3 5 0
0 1 4
1 5 4
3 1 5
2 4 3
1 2 4
1 0 3
1 5 2
0 1 0
0 4 0
10 3
2 1 3
2 0 1
3 1 1
0 0 1
1 2 1
1 3 2
0 2 3
1 3 0
3 0 0
2 1 1
10 6
1 2 0
1 0 2
2 0 0
1 2 2
0 1 1
2 1 0
0 1 2
2 1 2
2 2 1
2 2 2
10 2
2 0 1
0 1 0
0 0 0
2 2 0
0 2 1
1 0 2
2 1 1
2 0 0
1 1 2
2 0 2
10 9
0 1 0
0 0 0
0 2 2
2 0 0
0 0 2
1 0 1
1 2 2
0 2 1
1 0 0
2 2 1
10 4
5 1 4
3 4 2
0 5 1
4 3 1
3 0 5
4 5 5
2 0 0
1 5 1
1 3 3
5 3 0
10 3
3 1 2
3 3 0
3 0 3
1 3 3
3 3 1
3 2 1
2 0 0
0 0 3
1 3 1
2 1 3
10 4
4 5 2
2 1 0
5 0 2
2 3 4
1 3 4
2 2 0
1 0 5
3 4 4
1 3 0
0 2 1
10 2
2 4 4
2 3 1
0 3 2
1 4 4
5 0 1
2 3 5
0 2 0
2 2 2
5 1 5
4 5 0
10 5
3 3 3
1 0 3
3 2 4
1 0 4
3 5 4
0 1 5
2 0 1
0 1 3
3 1 0
5 3 4
10 4
3 0 0
0 1 0
3 3 1
2 0 2
1 1 3
3 2 3
1 1 2
2 0 0
1 2 3
0 0 0
10 8
1 0 3
0 0 1
0 1 2
3 0 0
2 0 3
0 1 3
1 3 3
1 2 2
2 2 0
0 0 0
10 2
3 4 2
1 1 1
2 4 3
2 3 0
3 0 0
4 3 1
1 1 4
0 4 2
4 1 4
3 3 2
10 2
3 1 2
2 0 0
0 2 0
1 2 2
0 1 3
3 3 3
0 2 3
0 3 2
1 0 3
0 0 1
10 2
0 1 3
0 3 4
1 2 2
0 0 3
1 3 2
4 0 2
2 2 1
4 2 2
0 2 3
1 4 1
10 9
0 0 0
0 0 3
4 2 5
2 1 1
1 3 4
1 4 4
5 1 3
3 3 1
2 5 4
1 0 2
10 2
1 1 0
0 0 0
0 2 2
2 1 2
2 2 2
0 0 1
0 2 0
1 2 2
1 0 2
2 0 0
10 9
1 1 1
1 1 0
1 1 2
0 2 1
0 0 0
0 1 2
0 0 1
2 0 0
1 2 1
0 1 0
10 9
1 3 2
4 3 4
1 3 0
0 1 1
2 3 4
2 2 0
3 1 4
2 2 2
0 2 3
4 2 1
10 7
1 5 3
0 4 2
4 3 1
4 5 4
5 5 0
1 1 3
4 5 0
0 1 5
1 0 5
4 0 3
10 4
4 2 1
1 1 0
1 2 4
0 4 0
0 3 3
1 3 2
4 1 0
3 4 4
2 1 2
1 4 0
10 7
1 0 2
3 0 0
1 2 1
2 2 1
0 3 2
0 2 3
2 2 0
2 2 3
0 0 1
3 0 1
10 9
0 5 3
0 4 0
0 5 4
1 3 4
5 5 0
4 5 4
5 1 1
3 1 3
2 5 4
4 1 0
10 5
2 3 4
3 0 0
0 1 0
4 3 1
4 1 0
0 2 2
1 0 4
4 1 2
0 4 3
1 1 4
10 2
1 1 1
1 1 0
0 0 0
1 2 0
1 0 2
2 0 0
0 1 0
0 1 1
2 2 2
0 2 1
10 5
2 1 0
1 1 1
0 3 1
1 0 2
0 1 3
0 3 3
3 0 3
3 1 1
0 3 0
2 0 2
10 4
1 4 3
0 0 3
2 3 3
0 0 2
4 1 1
4 0 1
2 0 1
2 4 0
0 1 0
0 1 1
10 2
0 1 0
3 2 2
1 0 2
2 1 1
0 3 1
2 1 2
2 1 0
3 0 1
0 3 0
1 3 1
10 2
4 3 2
2 4 1
3 2 2
3 1 2
0 0 0
4 3 4
4 4 3
2 1 3
1 1 2
0 0 3
10 8
0 1 3
0 4 1
0 1 2
1 3 1
4 5 4
4 1 0
0 2 5
5 3 1
1 3 3
5 0 3
10 9
0 1 4
1 1 3
1 3 1
1 2 2
4 3 4
3 3 1
3 0 1
4 1 4
4 1 2
3 2 2
10 2
4 3 2
0 2 4
3 2 0
0 1 3
3 0 1
3 2 3
2 4 0
3 1 3
3 2 4
4 1 1
10 2
2 3 4
5 2 3
5 5 5
0 1 2
4 1 1
5 3 5
5 4 3
0 2 0
1 0 3
0 5 0
10 9
2 1 1
0 0 0
2 2 0
1 1 2
2 0 2
2 2 1
1 0 2
2 1 0
0 2 1
0 0 2
10 7
3 3 4
3 4 2
5 2 5
3 5 1
5 5 2
4 4 3
1 1 5
3 3 1
2 5 2
0 4 0
10 5
3 2 4
3 3 2
4 3 0
0 4 1
0 2 0
3 0 2
1 1 0
2 0 0
0 1 1
4 4 4
10 8
0 3 3
1 2 1
3 3 0
0 2 2
0 1 2
3 1 0
2 0 0
1 1 0
2 3 2
0 1 1
10 9
1 2 2
2 1 0
1 1 0
1 0 1
1 1 2
2 0 1
0 0 1
1 2 0
0 2 2
1 1 1
10 6
2 0 1
2 2 2
1 1 2
1 1 1
2 0 0
2 2 0
0 2 0
0 2 2
1 2 1
1 1 0
10 8
2 2 2
2 2 1
1 2 2
0 2 1
2 1 1
0 1 2
0 0 0
2 0 1
0 0 1
2 1 0
10 5
0 1 5
2 5 3
5 1 3
0 3 0
1 3 1
3 3 5
1 1 2
1 2 4
3 3 2
5 0 5
10 8
1 0 1
0 1 5
2 4 0
3 1 1
2 0 5
4 4 2
3 5 1
5 5 3
0 1 3
2 5 5
10 3
5 1 3
3 1 0
1 2 1
5 5 2
1 4 0
0 4 2
1 4 3
0 3 3
2 4 0
4 3 1
10 7
2 3 1
4 4 2
0 3 3
0 1 4
1 1 1
1 0 1
0 1 3
1 1 3
3 0 3
2 0 0
10 4
1 1 0
1 4 1
4 2 2
4 3 3
4 5 1
3 3 0
4 0 5
3 4 2
0 4 4
0 5 5
10 5
3 3 2
0 5 2
2 5 5
2 2 2
3 0 3
4 5 3
2 3 3
4 0 4
5 0 5
3 2 4
10 5
1 3 0
3 4 4
2 3 1
3 2 2
4 2 1
0 1 3
1 2 1
3 1 3
0 4 1
1 2 0
10 9
0 2 0
1 5 0
3 2 3
4 1 2
5 3 4
4 2 1
2 4 3
2 3 2
1 4 1
1 1 4
10 7
4 1 0
2 1 3
5 3 2
4 0 0
1 0 4
1 3 2
5 2 4
1 0 3
3 0 0
5 5 3
10 8
0 1 2
1 2 2
0 1 0
2 2 0
1 0 1
0 0 2
2 0 2
1 0 2
0 2 0
0 0 1
10 9
1 5 2
3 3 5
4 5 5
5 4 1
4 5 1
3 2 4
2 0 3
2 5 2
2 2 1
2 3 5
10 5
3 5 2
5 0 0
0 1 4
4 3 3
3 5 4
0 3 0
1 2 2
4 4 3
3 1 2
1 1 2
10 6
1 2 2
0 1 2
2 1 0
1 0 0
0 2 2
0 0 0
0 1 0
2 0 1
1 1 0
2 2 0
10 7
0 2 1
0 1 2
1 0 2
0 4 2
1 3 3
2 2 2
3 4 1
1 1 3
3 2 3
2 0 3
10 8
0 1 1
1 2 2
0 1 0
2 1 0
1 1 0
2 1 1
2 2 0
2 0 1
0 1 2
0 2 0
10 7
4 0 2
4 1 3
2 1 4
1 2 1
1 1 0
1 3 2
0 2 3
1 1 4
4 1 0
2 1 0
10 3
1 2 0
2 0 1
0 2 2
2 1 2
2 3 2
0 2 1
1 3 2
0 1 0
2 0 3
2 2 0
10 7
0 0 2
1 1 2
1 0 1
0 1 0
2 0 0
0 0 0
0 2 1
2 2 1
2 1 0
0 2 2
10 2
0 4 1
1 3 2
4 3 2
2 4 4
0 3 4
1 0 0
3 2 4
1 0 3
0 2 1
3 0 0
10 9
0 1 2
3 2 3
3 3 3
0 4 0
2 3 1
4 2 4
3 2 0
2 1 3
2 0 1
1 2 0
10 9
0 0 0
0 1 0
1 1 2
1 1 0
2 2 2
1 1 1
1 0 1
0 0 1
1 2 0
0 2 0
10 8
0 0 1
1 0 0
2 2 3
3 0 0
3 2 1
0 3 3
3 1 0
1 1 0
1 1 1
0 1 3
10 6
0 0 4
4 0 1
4 4 0
0 1 3
1 2 1
1 4 0
4 3 3
3 0 4
0 0 0
0 0 2
10 8
0 1 2
0 0 2
1 0 1
2 1 1
0 0 1
1 0 2
2 0 0
2 1 0
2 0 1
0 1 0
10 6
1 0 0
3 0 3
0 2 3
3 3 1
1 3 1
0 3 1
3 3 0
3 3 2
2 2 3
1 2 2
10 5
4 1 3
5 4 3
3 2 3
3 1 4
2 1 2
3 2 5
4 3 3
0 3 4
0 3 2
0 1 2
10 7
1 1 0
3 2 3
0 3 2
1 1 3
0 1 1
3 3 3
2 2 3
1 2 0
1 0 0
3 2 2
10 2
2 1 0
0 2 0
0 2 2
1 1 2
1 1 1
1 0 0
2 1 1
2 0 2
2 2 1
2 0 0
10 7
0 4 1
2 1 3
4 0 1
1 4 3
4 4 3
1 1 1
0 3 1
3 0 0
0 0 4
1 4 1
10 9
0 0 0
2 0 2
1 2 0
1 0 3
0 3 1
2 2 3
3 1 1
1 3 3
1 3 1
3 3 3
10 5
0 2 3
1 3 3
0 0 2
2 1 0
0 3 2
1 1 3
3 1 3
1 1 1
1 3 2
1 3 0
10 2
4 0 2
2 3 1
4 4 1
1 2 4
0 3 1
0 3 3
2 4 4
1 4 2
0 0 3
3 3 0
10 9
0 2 2
0 2 0
2 0 1
2 2 0
0 0 0
2 0 0
0 2 1
2 1 0
0 0 1
2 2 1
10 4
0 5 0
3 1 1
0 1 3
1 5 4
3 3 1
3 0 4
2 5 3
5 3 4
1 4 2
4 0 4
10 9
0 0 0
0 1 0
1 2 0
2 0 1
0 2 0
0 0 2
1 0 0
2 2 2
1 2 2
1 1 0
10 8
1 1 1
2 0 0
1 0 1
1 2 1
0 1 1
1 0 0
2 0 2
1 2 0
2 0 1
2 2 2
10 3
5 2 1
0 0 4
5 5 3
2 5 2
2 5 0
5 4 4
4 5 0
1 3 1
1 2 1
1 2 3
10 7
1 1 4
2 2 2
1 2 2
1 4 2
4 4 1
2 4 0
1 0 0
1 0 2
3 3 4
3 4 1
10 2
2 1 1
1 2 1
2 3 0
1 3 3
0 1 1
3 3 3
0 0 3
0 3 1
0 0 1
3 1 0
10 5
4 4 4
0 2 2
1 3 1
3 1 4
1 1 1
4 3 3
3 2 0
2 2 2
2 1 1
2 4 3
10 8
2 2 0
1 1 2
0 0 1
2 0 1
2 1 0
2 0 0
0 1 1
1 2 1
1 2 0
0 1 2
10 9
1 0 1
0 1 1
0 0 2
2 0 1
2 1 2
1 1 0
1 0 2
1 1 2
0 1 0
0 0 0
10 4
0 2 1
2 4 4
4 4 0
4 1 2
3 3 4
3 3 1
2 3 3
0 3 3
4 2 1
4 3 1
10 7
1 1 0
1 0 1
2 0 0
1 0 0
0 0 1
0 1 0
0 2 0
1 2 1
0 0 0
1 1 2
10 6
0 2 1
0 1 2
2 0 2
2 1 2
1 2 0
1 0 2
1 2 2
2 1 1
0 2 0
2 0 1
10 6
3 0 0
0 4 2
2 1 3
0 1 0
4 0 0
1 1 0
0 4 4
4 4 3
3 3 1
1 2 3
10 2
3 1 0
2 2 1
0 1 0
1 1 0
2 2 0
0 1 2
3 2 2
2 0 3
0 0 3
1 1 3
10 6
1 1 1
0 2 0
4 4 2
1 0 2
2 3 3
0 0 3
0 1 4
0 4 0
4 3 4
2 1 0
10 4
2 2 0
1 0 2
2 0 1
2 2 1
2 0 2
0 2 0
1 2 1
0 0 2
0 2 1
2 1 0
10 5
5 5 3
5 2 4
1 3 2
5 0 0
0 0 0
3 1 3
5 5 4
4 1 2
2 4 3
2 5 3
10 4
1 3 1
2 0 3
1 0 0
0 3 0
3 3 0
0 2 2
2 2 1
0 1 2
0 2 0
2 0 0
10 2
2 2 1
1 0 2
0 2 1
1 2 2
2 1 2
0 1 2
0 2 0
2 1 0
0 1 0
1 0 1
10 4
1 1 0
1 3 1
2 0 2
1 0 2
2 1 3
0 1 3
0 0 2
2 1 0
2 3 0
1 3 2
10 7
2 0 5
2 5 4
0 2 3
4 2 5
1 2 3
4 4 1
4 5 5
0 1 1
0 5 4
5 3 1
10 9
4 2 2
5 1 0
3 2 4
5 5 4
2 1 3
3 1 3
3 1 1
5 2 2
3 0 2
0 5 0
10 8
1 5 4
5 1 0
5 0 2
2 3 5
3 3 2
3 4 0
3 3 0
0 2 2
0 5 1
1 2 1
10 2
3 0 1
4 1 3
3 0 2
0 1 4
2 3 2
0 2 4
4 3 4
1 4 2
3 3 3
0 1 2
10 4
0 3 1
0 0 2
1 1 4
1 3 2
3 0 1
4 1 3
3 0 0
3 1 2
4 4 2
4 0 2
10 7
0 2 0
0 0 2
1 2 1
0 2 1
2 0 0
0 0 1
2 2 1
2 1 0
0 1 1
2 2 2
10 5
3 0 0
5 2 1
2 2 0
2 4 4
5 3 1
0 3 0
2 1 3
1 3 5
5 3 2
1 4 2
10 6
1 3 0
1 3 2
0 3 3
1 3 3
3 2 2
2 2 3
1 0 0
2 0 0
3 0 1
0 0 1
10 5
3 2 0
4 5 1
4 3 4
0 2 1
3 1 0
0 0 4
0 0 0
0 0 2
2 1 2
1 4 3
10 9
3 5 5
3 5 3
0 3 5
5 2 5
5 1 3
0 1 4
1 5 0
1 0 5
1 1 2
3 1 2
10 5
4 1 2
1 4 3
0 1 2
2 2 4
3 1 0
0 1 0
4 4 1
1 2 1
4 2 1
4 3 3
10 7
1 1 0
0 0 2
1 3 3
0 2 3
0 2 1
0 3 2
3 3 1
3 1 1
2 3 1
1 2 1
10 8
2 3 3
5 5 2
2 1 0
4 2 3
5 0 1
2 5 5
1 5 1
4 2 5
0 2 5
5 2 4
10 8
0 5 5
2 0 3
0 3 3
4 1 1
5 0 3
3 2 5
1 0 5
3 2 0
5 4 5
0 1 5
10 8
2 2 3
0 3 3
4 4 4
4 2 2
1 1 4
3 3 3
1 1 3
1 1 2
1 4 2
0 4 0
10 5
0 0 2
2 1 0
2 1 1
0 0 0
2 2 0
2 1 2
0 1 2
0 1 1
1 1 1
1 0 1
10 7
1 1 2
2 1 3
1 0 0
3 2 2
0 0 0
0 3 0
0 2 2
2 2 1
2 0 1
1 3 1
10 5
1 0 2
2 2 0
1 2 2
2 0 0
0 1 0
1 1 2
1 0 0
2 1 1
2 1 0
2 2 2
10 7
1 4 0
0 3 1
4 1 0
3 0 0
4 3 1
3 2 1
2 3 4
0 0 2
1 0 1
3 4 4
10 9
0 4 0
4 4 1
2 2 1
0 1 2
3 1 3
2 5 0
1 2 4
2 5 1
4 5 1
1 4 1
10 2
3 1 1
2 2 3
2 3 0
0 2 0
3 1 0
0 1 2
0 1 0
2 1 2
2 2 0
2 3 3
10 3
1 3 2
1 2 2
2 3 2
0 0 1
0 0 2
0 2 2
3 1 3
0 0 3
2 3 3
1 1 2
10 7
2 0 0
0 1 1
2 0 4
0 4 0
1 2 4
2 4 1
1 4 2
4 0 0
4 1 0
4 0 3
10 9
1 0 2
3 0 2
1 0 3
1 0 1
1 3 2
1 1 2
0 3 3
3 3 1
2 3 2
0 3 0
10 4
2 4 0
3 0 1
4 2 4
3 2 3
3 0 0
4 1 3
3 4 4
4 1 2
0 4 1
4 0 1
10 2
0 2 0
3 0 1
1 2 0
0 2 3
3 2 3
2 2 2
1 3 1
1 2 1
0 1 3
1 2 2
10 4
2 1 4
2 1 3
1 1 0
1 1 4
4 4 1
4 2 4
3 2 4
2 2 4
0 3 0
1 3 0
10 8
2 0 0
4 3 4
1 2 2
3 4 2
1 3 4
1 3 0
3 3 0
4 1 3
2 1 2
4 4 1
10 5
2 0 2
0 2 0
2 0 0
1 0 1
0 1 2
2 1 1
0 2 2
0 1 1
1 1 0
1 0 2
10 6
3 2 2
2 0 1
1 1 4
0 3 1
1 3 0
0 0 0
5 4 4
2 5 4
1 0 3
0 5 0
10 3
0 1 4
4 2 0
2 2 1
2 3 2
0 2 4
3 4 0
0 4 1
4 2 2
0 0 3
4 3 2
10 4
0 1 0
2 0 3
2 1 0
2 3 3
0 2 3
0 0 0
1 1 2
2 1 3
2 1 1
1 0 2
10 5
4 0 4
3 4 2
4 4 0
1 1 4
3 0 1
2 3 3
1 4 4
1 3 0
4 2 4
4 3 1
10 6
0 1 1
2 0 0
2 0 2
2 2 2
2 2 0
0 0 2
1 1 0
1 0 0
2 1 1
1 1 2
10 9
0 3 5
5 5 3
4 5 4
4 5 3
4 0 2
2 1 1
4 3 0
4 5 5
3 2 0
2 2 2
10 8
2 3 1
2 2 3
2 0 1
0 0 0
2 3 3
0 1 0
0 2 3
3 3 0
1 1 3
2 0 3
10 2
0 4 0
2 2 4
0 4 3
3 1 1
1 1 1
2 0 1
4 3 2
2 0 0
0 3 3
3 2 3
10 8
2 1 2
0 3 1
3 0 2
1 2 1
0 1 2
0 3 0
3 3 0
1 1 3
0 2 0
2 2 3
10 5
3 0 0
1 0 0
1 1 3
3 0 1
3 0 2
3 0 3
0 0 2
1 1 1
2 2 2
0 0 1
10 7
1 4 1
0 3 1
3 2 0
4 1 1
2 3 2
3 0 3
1 3 3
3 2 3
4 4 2
0 4 2
10 2
3 2 2
0 3 0
1 3 1
3 0 3
0 3 3
1 0 0
1 1 2
1 1 1
0 2 0
3 3 1
10 3
0 1 4
2 2 1
2 4 3
4 0 4
4 3 2
3 0 3
1 3 0
3 0 1
3 0 4
3 1 1
10 3
2 0 1
2 2 1
1 2 1
0 1 0
1 0 0
1 2 0
0 2 2
1 0 1
2 0 2
2 1 1
10 7
1 4 2
3 3 1
4 0 0
1 0 0
1 2 0
0 0 2
3 2 2
2 2 2
1 3 4
2 1 3
10 5
0 0 1
0 1 0
2 0 2
2 2 2
2 1 1
2 1 0
1 1 2
1 2 0
2 0 0
1 1 0
10 2
0 0 2
2 1 1
0 1 1
1 2 2
0 0 0
1 1 2
0 2 1
2 0 2
2 2 2
1 1 0
10 9
2 4 0
4 4 3
1 1 1
2 4 1
3 3 1
4 2 4
0 3 0
2 1 4
2 2 4
3 4 1
10 6
2 1 4
3 4 1
2 3 1
2 4 2
4 0 0
3 1 5
1 1 3
0 0 2
0 5 2
1 4 5
10 2
3 1 4
0 1 1
3 4 3
0 0 1
2 4 4
1 0 3
2 1 0
2 4 2
4 3 3
0 0 2
10 9
4 5 5
0 3 4
2 0 5
0 5 4
0 2 1
0 4 2
3 0 2
1 0 2
5 5 3
3 3 5
10 7
3 3 3
4 1 2
1 4 3
1 2 3
0 0 1
0 4 3
1 0 1
4 1 4
2 2 4
1 1 0
10 6
4 5 1
2 4 5
0 1 4
0 0 1
0 4 1
5 4 2
3 5 1
4 5 2
2 1 1
0 2 2
10 6
3 2 1
3 1 1
0 4 2
2 2 5
2 1 4
1 0 1
1 5 0
1 5 4
2 1 2
2 2 4
10 7
2 2 0
2 3 4
1 1 0
0 4 0
0 0 1
1 3 2
1 0 1
3 2 4
2 0 2
4 1 1
10 8
1 2 2
4 2 3
2 3 2
3 3 5
4 1 3
5 5 0
4 1 1
1 4 4
0 4 4
0 0 2
10 5
1 3 2
1 1 4
2 2 3
4 3 3
0 0 2
2 3 0
2 4 4
1 4 2
1 0 2
0 1 4
10 3
1 1 1
3 1 2
1 3 2
3 3 2
0 0 0
1 3 3
0 0 1
2 3 0
0 2 2
0 0 3
10 6
0 1 0
4 4 3
4 2 0
1 0 3
2 0 1
1 2 2
3 0 2
2 4 1
4 3 1
4 0 3
10 8
2 3 0
2 0 0
1 2 0
0 1 2
3 3 2
1 2 3
1 3 3
2 2 0
1 1 0
0 0 2
10 5
0 2 4
3 2 2
2 3 3
3 1 2
0 2 1
1 3 1
2 2 4
0 3 2
0 4 2
4 2 4
10 3
1 2 2
3 4 1
2 1 1
0 3 3
4 2 0
3 4 3
0 2 0
1 0 1
0 3 2
0 3 0
10 5
4 1 3
3 4 1
1 1 0
3 4 0
2 3 2
0 2 2
3 3 3
3 1 1
2 2 3
3 0 0
10 2
2 3 0
1 1 1
3 2 1
0 1 0
0 2 2
3 0 3
3 0 1
3 3 2
2 2 3
1 0 2
10 2
0 1 2
2 1 2
0 0 1
0 2 1
0 0 0
1 2 0
0 1 0
0 0 2
2 2 2
2 2 0
10 2
2 4 0
2 0 4
4 0 0
3 3 2
2 2 4
4 0 3
2 4 3
2 0 0
3 1 0
0 3 4
10 7
2 2 0
2 4 0
1 4 1
4 1 2
2 2 1
3 3 2
4 2 4
4 1 0
3 1 3
3 3 0
10 5
1 0 3
1 2 1
3 3 0
3 2 2
2 3 3
0 0 0
2 0 3
1 3 0
1 3 2
2 2 1
10 7
1 2 5
2 5 0
1 3 2
4 5 2
1 4 2
5 5 2
4 5 4
4 3 1
3 2 4
1 0 2
10 7
0 3 1
0 2 2
0 3 0
1 2 0
1 3 3
0 0 3
3 0 1
1 1 1
2 3 1
2 3 0
10 6
1 2 4
0 2 1
2 0 0
0 0 0
0 4 2
2 1 0
1 0 1
1 3 2
4 1 2
1 3 0
10 7
0 0 1
2 2 2
1 2 1
2 1 1
0 2 2
0 0 2
1 0 1
2 0 2
1 1 0
0 1 2
10 5
3 3 0
3 1 1
1 2 3
3 2 0
1 2 2
1 3 0
1 1 2
1 2 0
1 1 0
1 0 3
10 8
1 2 3
2 1 2
0 3 1
3 2 4
2 0 3
4 3 2
0 2 1
4 3 0
4 1 4
3 3 3
10 2
2 3 1
2 3 2
3 2 1
3 1 3
1 2 3
0 0 1
3 0 3
1 2 1
0 3 2
3 0 2
10 8
2 3 2
0 2 2
0 0 3
1 2 0
0 1 3
2 0 3
3 0 2
1 1 3
0 2 0
1 3 1
10 7
1 1 0
1 2 2
1 2 1
2 2 2
0 1 2
2 1 2
0 2 1
2 2 1
1 1 2
0 2 2
10 8
5 2 5
5 5 5
3 0 2
4 2 2
2 1 3
1 3 3
4 2 4
0 1 3
5 1 0
0 4 3
10 4
0 0 3
0 4 2
3 4 0
0 1 2
3 1 1
4 1 4
0 3 3
2 3 3
4 4 4
4 3 3
10 5
4 1 4
1 1 3
4 2 4
0 0 3
3 2 3
3 2 2
3 3 4
2 1 3
0 4 4
2 3 0
10 9
1 0 0
1 2 1
0 2 2
1 0 1
1 0 2
2 2 2
0 2 0
1 2 2
0 1 2
2 1 1
10 2
3 2 3
4 1 3
1 4 1
0 5 0
5 1 0
5 4 0
2 3 2
4 4 0
1 4 4
0 3 2
10 7
3 1 3
1 2 1
0 3 3
3 4 3
1 0 1
0 2 4
3 2 1
1 1 4
2 1 3
3 3 0
10 8
1 1 2
1 3 0
2 3 1
2 0 0
1 1 1
0 1 0
3 3 1
3 2 0
2 1 0
0 0 1
10 3
3 0 3
2 0 0
4 3 2
3 3 3
1 2 2
2 1 3
4 2 2
2 0 3
2 4 3
1 1 3
10 9
2 2 3
3 2 0
1 2 1
3 2 1
1 3 2
2 3 2
0 3 3
0 2 1
2 2 1
0 3 0
10 5
1 0 1
1 1 0
0 2 0
0 2 2
0 0 1
1 0 0
0 1 2
2 2 1
0 1 1
1 2 1
10 5
4 4 5
2 0 4
5 0 5
3 3 0
1 3 3
5 0 4
0 4 1
3 3 1
5 3 5
1 1 1
10 7
2 4 4
4 1 3
2 1 1
2 4 2
3 2 4
5 0 5
3 1 4
2 1 4
2 0 5
3 2 3
10 9
5 3 1
1 1 3
5 0 4
5 4 0
4 2 1
4 3 5
0 1 2
3 2 0
5 1 3
4 5 5
10 3
2 2 5
3 1 0
1 0 0
1 0 2
5 5 5
3 0 3
3 4 4
0 3 0
1 1 2
1 5 1
10 5
4 2 1
2 2 2
2 3 2
1 3 3
1 0 1
0 0 0
4 1 1
0 3 3
1 4 0
1 0 2
10 7
0 0 0
2 2 1
0 0 2
2 1 0
0 2 2
1 1 1
0 0 1
2 0 1
1 2 1
0 1 0
10 5
2 0 4
0 1 1
3 2 3
0 4 3
3 4 4
2 1 2
3 3 1
1 3 4
4 3 0
4 1 3
10 2
0 3 0
3 3 1
0 1 1
3 2 0
3 0 0
0 2 3
0 3 3
1 2 2
0 0 1
3 2 2
10 7
3 1 1
3 2 0
2 0 3
2 3 1
3 0 1
1 0 1
2 2 0
3 0 2
0 3 2
3 1 0
10 3
4 4 3
5 0 3
1 2 2
5 1 3
4 1 2
0 0 1
1 4 5
4 1 4
1 0 0
2 0 0
10 7
5 0 5
5 5 0
1 4 3
5 0 0
4 2 4
0 2 5
3 4 3
0 0 5
4 4 5
4 0 2
10 5
1 0 0
1 0 2
1 2 0
0 2 1
1 1 1
2 2 0
2 0 0
0 1 1
0 2 0
0 0 2
10 2
2 2 1
2 1 1
0 0 2
2 1 0
1 2 0
0 0 0
0 1 0
2 1 2
0 1 2
0 2 2
10 6
3 5 2
3 3 2
5 5 5
4 1 1
1 5 2
5 3 2
4 0 1
5 0 1
1 3 0
4 1 5
10 9
2 1 3
0 2 3
2 3 3
2 3 0
3 2 3
3 1 1
1 1 2
2 2 2
0 0 2
2 0 2
10 4
0 1 2
4 5 0
4 2 1
3 2 4
4 5 5
2 0 5
0 4 1
1 0 0
5 4 3
0 3 1
10 9
2 2 4
0 3 0
0 2 1
3 0 1
3 3 0
4 1 0
0 4 2
3 2 2
2 2 3
2 4 3
10 3
0 3 3
0 0 4
0 4 0
2 2 4
1 0 4
2 3 2
2 3 4
1 2 0
3 4 4
1 4 0
10 4
2 1 0
2 2 1
1 1 2
0 1 1
0 0 2
2 0 1
0 2 0
0 0 0
1 2 0
1 0 0
10 5
5 1 5
0 0 3
2 1 2
5 3 3
5 1 4
1 1 4
0 1 2
3 5 2
3 3 4
4 5 0
10 5
0 1 1
4 5 4
3 1 5
0 4 4
3 3 5
3 1 4
5 1 5
4 4 5
0 0 2
3 3 1
10 7
2 1 2
3 3 0
1 2 3
1 0 0
2 2 2
0 3 1
3 1 2
3 2 1
0 1 2
0 0 2
10 6
0 5 5
3 4 3
5 3 1
3 3 4
5 3 4
1 5 0
2 5 2
4 5 5
4 4 3
0 3 0
10 5
0 4 1
4 0 3
3 0 2
5 1 1
0 1 4
5 3 0
0 4 2
2 2 3
4 2 2
3 1 0
10 2
0 2 1
1 0 3
3 3 0
3 3 2
0 2 2
0 1 2
2 2 1
3 2 0
2 0 3
3 3 1
10 9
2 2 0
2 0 1
0 2 1
2 1 0
1 2 1
1 1 2
0 1 2
2 0 2
2 2 2
1 0 2
10 2
0 2 0
2 2 2
1 0 0
1 1 1
2 0 1
2 0 0
1 1 0
0 0 1
0 1 0
1 2 0
10 4
1 1 0
0 3 2
4 1 0
3 1 4
0 1 5
1 0 0
5 5 2
5 1 2
3 3 1
1 3 1
10 6
1 0 1
0 1 0
0 0 0
0 0 2
2 1 0
1 2 2
1 1 0
2 1 2
2 2 0
1 2 0
10 2
4 0 1
3 0 2
0 0 2
3 3 2
2 0 0
4 2 2
1 0 3
0 3 3
4 0 0
2 2 0
10 8
2 2 1
0 2 0
2 0 2
2 2 0
0 2 2
2 1 0
1 2 0
2 0 1
0 0 1
1 1 2
10 7
5 2 5
3 3 2
0 1 2
5 4 5
3 2 0
3 0 3
2 2 5
2 3 2
4 1 2
5 3 3
10 9
2 2 0
3 3 1
2 0 1
0 2 1
0 0 3
2 3 0
0 1 3
3 3 3
3 0 0
0 2 0
10 2
2 2 0
1 2 0
0 2 0
1 0 1
1 1 0
2 0 0
1 1 1
1 0 2
0 2 1
0 0 0
10 3
1 4 1
2 1 0
0 4 1
3 3 1
2 4 4
2 4 0
4 3 0
3 0 4
4 0 0
2 2 4
10 4
3 0 0
0 4 1
2 5 2
1 2 2
0 2 1
1 5 5
0 0 1
3 0 3
5 4 0
4 1 0
10 6
3 3 2
0 2 3
1 1 0
1 0 3
2 3 2
2 2 2
1 3 3
2 3 1
0 0 2
2 3 3
10 9
0 2 1
4 3 2
1 2 2
0 4 1
1 2 0
2 2 1
2 2 0
2 3 0
3 0 4
0 4 4
10 9
3 0 4
4 1 0
0 3 3
2 3 0
4 5 5
0 3 0
2 2 4
5 5 4
0 3 4
0 1 3
10 3
3 0 2
3 4 0
0 1 2
0 4 4
3 4 1
3 2 0
4 2 0
0 0 0
2 2 2
0 4 1
10 4
0 1 3
4 2 4
4 1 2
0 1 0
0 4 0
3 4 3
0 4 1
4 3 4
1 2 1
1 3 1
10 6
3 3 4
2 0 0
0 5 5
4 5 1
2 2 0
0 4 4
1 2 0
1 5 3
5 2 1
0 4 5
10 9
2 2 4
2 3 1
1 3 1
1 2 2
1 1 2
0 2 0
4 4 4
1 0 0
1 4 3
1 2 0
10 5
0 3 2
0 1 1
0 2 1
4 3 3
4 1 0
3 3 2
1 2 4
2 4 1
2 1 3
2 4 2
10 4
2 2 1
1 1 1
0 1 1
2 2 2
2 0 0
1 1 0
2 0 2
1 0 1
2 0 1
0 2 0
10 5
5 5 3
1 5 0
2 2 1
1 3 1
3 4 1
1 0 3
1 2 5
4 4 1
0 5 5
2 4 1
10 9
4 0 3
0 2 1
4 1 1
1 1 4
4 0 4
4 4 1
0 1 4
1 3 4
1 0 0
1 4 0
10 3
2 1 1
0 3 0
2 0 3
0 2 0
2 1 3
2 1 2
2 2 3
3 1 2
1 1 3
0 1 0
10 4
3 3 2
3 1 1
2 1 0
2 2 3
3 2 2
3 2 1
1 3 1
1 0 1
3 3 1
2 3 0
10 5
4 5 4
5 3 3
2 1 2
0 5 2
5 2 3
3 3 0
2 2 2
0 0 0
0 0 3
2 3 2
10 3
1 2 2
3 2 2
2 0 0
2 3 1
1 2 3
3 1 2
0 2 1
0 0 0
0 3 2
1 2 0
10 3
1 4 0
4 2 1
1 4 2
0 2 4
4 1 0
0 0 2
2 0 4
4 1 1
0 4 4
0 0 1
10 9
3 0 4
3 5 4
3 1 5
5 2 4
2 0 1
5 3 3
1 0 4
4 0 4
4 0 1
0 3 3
10 5
3 0 2
1 2 2
0 0 2
0 2 2
2 1 1
0 1 3
1 3 0
2 4 3
5 0 3
3 2 1
10 3
3 0 5
4 3 4
2 4 1
0 2 1
5 1 0
0 1 3
5 1 2
1 1 3
1 4 5
1 2 1
10 4
2 4 3
1 2 3
3 1 5
4 1 2
5 1 0
1 0 5
4 3 0
1 1 1
3 0 0
5 0 2
10 3
3 3 1
3 1 2
1 2 3
1 1 2
0 4 1
2 4 1
2 3 2
3 1 0
1 0 3
3 3 3
10 8
4 1 4
4 2 4
1 3 3
3 0 2
1 1 0
3 1 1
4 4 1
0 0 2
1 4 4
2 2 1
10 5
2 1 1
0 2 0
1 1 1
0 1 2
2 2 0
0 1 1
2 0 2
0 0 0
1 2 1
0 0 1
10 9
0 1 3
2 2 3
0 0 1
2 1 0
1 0 3
2 2 2
1 3 3
1 2 3
3 2 1
1 2 2
10 4
1 2 3
2 1 1
1 1 3
0 4 1
1 3 3
0 0 4
3 0 1
1 2 2
4 3 0
2 4 0
10 4
0 0 1
1 2 1
2 1 1
1 1 1
0 2 0
2 1 0
0 2 2
2 1 2
0 1 2
2 2 0
10 9
0 2 1
1 1 1
0 0 0
2 1 1
0 0 2
2 1 2
0 1 1
2 2 2
1 0 0
0 2 2
10 7
0 2 1
3 0 4
3 2 0
0 2 3
1 0 1
0 4 3
3 3 2
1 2 2
0 4 4
4 4 2
10 7
1 4 4
2 4 0
3 4 2
0 1 3
0 0 4
3 4 1
3 2 4
3 3 0
1 1 0
3 1 1
10 4
1 3 2
3 0 1
0 3 0
2 2 3
0 3 2
3 0 0
2 0 1
2 3 2
2 0 2
2 0 0
10 9
2 0 0
2 1 2
0 0 0
1 0 1
2 1 0
2 0 2
0 2 1
1 0 0
1 2 2
0 1 1
10 4
1 5 1
2 4 5
3 3 1
0 1 0
2 1 4
4 2 4
3 2 4
1 0 3
5 3 4
3 1 1
10 3
2 0 0
2 2 1
2 2 2
0 0 2
0 1 1
0 0 0
1 2 2
0 1 2
1 0 2
1 0 0
10 8
1 2 2
2 1 2
2 1 0
0 0 1
1 0 0
2 2 1
2 0 0
0 2 2
2 0 2
2 2 0
10 3
0 0 0
1 0 2
1 0 0
2 3 0
3 2 0
3 3 2
2 0 3
1 3 3
1 3 2
3 1 2
10 5
1 0 1
0 5 5
4 0 1
0 2 0
5 2 0
4 3 0
1 2 5
0 2 4
1 1 5
2 5 4
10 7
0 1 0
1 0 1
1 2 1
1 1 1
0 0 2
0 2 1
0 2 2
2 2 0
2 1 0
2 0 2
10 8
4 3 1
0 2 2
2 3 3
2 2 2
1 1 1
3 3 0
3 2 3
3 0 2
2 0 2
0 1 3
10 3
2 3 3
4 4 4
0 3 0
3 4 1
0 2 0
4 3 3
0 3 2
1 4 2
2 1 2
2 1 1
10 4
1 2 2
2 0 1
2 0 2
2 0 0
1 2 1
0 1 1
1 1 1
0 0 1
2 2 2
0 1 2
10 8
0 3 3
0 1 3
3 2 0
3 0 1
1 0 2
2 2 2
0 0 1
3 1 3
0 3 0
2 0 0
10 8
2 0 0
0 2 0
0 1 2
2 1 2
1 0 2
1 0 1
2 2 0
1 1 0
1 0 0
0 2 1
10 7
2 0 1
2 1 0
1 0 2
0 1 0
0 0 2
1 1 0
0 0 0
1 1 2
2 2 1
1 2 0
10 3
0 0 5
2 1 4
3 5 5
4 1 0
1 0 1
0 1 1
1 3 3
2 4 3
4 0 0
5 4 2
10 3
3 2 0
1 2 1
2 3 3
1 0 3
1 0 1
3 2 1
2 2 0
0 3 0
2 1 2
3 1 3
10 2
5 3 2
1 0 3
4 2 1
4 5 1
3 2 4
1 5 3
2 0 0
0 1 3
2 0 2
5 0 5
10 3
3 3 4
1 3 3
1 2 1
5 3 4
2 3 3
1 0 3
0 4 0
3 5 0
1 3 5
1 5 1
10 9
5 2 5
0 5 1
2 2 1
4 4 0
2 1 3
0 2 0
4 3 2
4 0 3
1 1 0
0 3 0
10 4
4 4 0
0 3 4
5 3 1
2 0 5
2 3 4
5 1 0
0 5 4
5 2 3
0 4 4
2 2 4
10 4
3 4 4
2 3 3
3 2 2
2 2 4
2 2 3
4 0 4
2 4 2
3 4 3
0 2 3
4 2 2
10 7
0 3 2
2 0 2
2 3 2
0 2 3
2 3 0
2 2 1
0 3 3
1 2 1
0 1 0
3 2 0
10 9
1 3 3
5 4 5
4 5 3
0 1 0
3 2 3
4 0 2
5 1 5
4 3 4
0 0 4
0 4 2
10 5
1 1 1
1 5 2
1 4 1
0 2 4
5 0 0
5 5 4
4 3 5
3 5 2
0 5 0
2 2 2
10 6
1 1 0
3 3 2
2 2 1
1 3 3
1 1 3
2 3 3
0 1 1
2 2 3
1 0 2
3 1 3
10 4
0 3 0
1 3 0
5 3 3
5 0 0
1 3 3
0 2 1
2 1 0
3 3 3
3 3 0
3 2 2
10 2
0 2 3
2 3 0
0 3 2
3 3 3
2 1 2
2 0 1
1 3 1
0 1 1
3 0 2
2 0 0
10 5
3 0 4
5 1 1
2 5 1
2 0 3
5 3 1
5 4 2
2 2 2
1 2 2
2 3 3
0 0 5
10 4
1 2 1
0 0 1
1 1 2
1 2 2
1 1 0
1 2 0
0 0 0
0 2 1
0 1 0
0 1 2
10 3
3 3 3
1 1 3
1 2 1
0 3 0
3 0 0
0 1 3
0 2 0
1 2 2
2 3 3
1 2 3
10 8
2 0 2
0 2 1
0 0 0
0 1 0
2 1 2
1 2 0
1 0 0
2 1 1
2 0 0
1 1 2
10 2
3 3 5
0 5 2
0 0 5
0 3 1
1 5 2
3 3 4
0 2 4
2 2 1
5 1 3
0 4 3
10 9
2 1 1
2 1 2
0 1 1
1 2 0
1 1 1
1 1 0
1 0 1
1 2 2
2 0 2
0 0 1
10 9
2 0 1
3 0 3
3 3 2
2 3 2
0 1 2
1 1 0
1 1 2
1 3 1
0 0 0
3 1 3
10 5
0 1 2
2 0 0
0 2 2
1 2 1
0 0 2
2 2 0
1 1 0
2 2 2
0 2 0
0 0 0
10 8
0 2 2
2 3 4
1 1 3
3 1 1
4 2 4
0 2 3
1 2 2
4 0 1
1 4 4
0 2 4
10 2
0 3 1
3 1 2
2 3 2
2 1 1
0 2 2
1 3 0
2 0 3
0 1 3
2 2 2
3 0 3
10 9
5 0 1
3 4 2
5 1 5
2 4 2
4 1 5
4 0 3
5 2 5
1 1 3
2 0 0
1 4 3
10 2
1 5 1
4 4 0
3 4 4
3 1 1
4 2 5
5 0 4
4 2 4
2 0 0
2 3 4
3 1 5
10 2
2 2 0
1 0 2
1 2 2
0 0 2
0 2 1
2 2 2
0 1 0
1 1 1
1 1 2
2 1 1
10 3
2 1 1
2 2 1
0 0 2
2 0 2
0 2 0
0 1 0
1 2 2
1 1 2
2 2 0
1 0 0
10 4
0 0 2
0 0 0
1 1 0
1 1 2
1 1 1
1 0 1
1 2 2
2 0 0
2 0 2
2 1 2
10 2
2 0 0
2 1 1
2 2 1
0 2 0
0 0 0
1 0 0
2 2 0
1 0 1
1 1 1
0 2 2
10 3
2 1 2
2 0 1
2 2 3
1 3 0
3 0 3
0 1 1
3 1 3
1 0 2
0 0 2
0 1 3
10 7
2 4 4
0 2 1
2 0 1
4 3 1
2 5 1
1 5 4
3 1 4
0 1 1
1 5 0
4 1 5
10 8
3 3 2
2 3 2
4 4 0
4 2 1
1 1 3
0 0 1
2 4 4
3 4 3
3 2 2
4 1 1
10 4
4 2 2
4 1 1
4 0 4
3 1 0
3 4 0
1 1 4
2 1 4
4 3 4
3 1 3
1 2 3
10 8
0 0 2
1 0 2
1 2 2
1 0 1
2 1 2
1 2 0
0 1 2
1 1 2
1 1 1
2 1 1
10 4
1 1 0
2 2 1
2 0 2
1 0 0
2 1 0
1 2 2
1 1 2
0 2 2
0 0 1
0 2 1
10 3
5 1 0
4 0 5
2 4 0
3 5 1
4 0 0
0 5 4
4 3 5
1 2 4
2 2 1
5 1 2
10 4
1 1 3
2 4 4
5 4 5
3 4 1
1 4 3
1 2 1
5 0 2
0 0 3
5 5 3
3 4 4
10 8
4 1 2
4 4 2
0 0 3
2 2 4
4 4 3
4 2 2
2 4 5
1 0 5
0 1 5
4 2 3
10 6
0 3 5
0 1 2
2 2 0
2 1 3
5 3 5
3 4 2
0 0 3
3 5 0
1 2 1
4 3 0
10 8
4 4 0
0 4 2
1 1 1
0 0 1
0 4 1
4 3 0
0 2 1
2 0 3
3 4 2
1 3 1
10 9
2 0 0
0 1 2
2 1 3
1 3 0
1 1 0
3 0 0
4 2 0
3 3 4
4 0 4
1 3 3
10 6
0 5 3
4 0 0
5 4 4
3 3 0
1 1 5
1 3 3
3 0 1
3 2 1
4 4 5
2 0 3
10 5
0 3 0
0 0 0
0 3 1
2 2 3
2 3 3
1 1 2
3 0 1
1 0 1
2 1 1
2 0 0
10 8
1 2 1
3 3 3
2 3 0
0 3 1
3 0 0
3 0 1
0 1 1
3 3 2
3 1 2
1 2 3
10 9
2 1 2
1 1 3
4 5 2
5 1 5
2 0 3
3 2 5
1 2 5
0 2 5
5 4 5
0 4 3
10 7
3 2 3
1 0 2
3 0 3
2 2 3
2 0 1
1 2 2
2 1 3
1 2 1
1 2 0
3 2 0
10 9
3 1 0
3 3 2
1 2 3
1 1 0
1 0 0
2 2 0
3 0 2
2 2 3
1 2 0
1 0 1
10 3
0 2 1
0 1 2
1 1 1
2 0 0
0 2 2
0 2 0
1 1 2
0 0 1
2 0 1
0 1 1
10 2
0 2 2
1 1 2
1 2 1
2 2 1
0 0 2
0 1 2
2 1 2
0 0 0
2 0 2
2 2 2
10 4
3 1 2
3 2 3
3 3 3
2 2 2
1 0 3
2 2 1
3 2 2
0 0 1
2 3 2
1 1 3
10 5
4 1 4
2 0 4
3 2 1
3 0 4
3 2 4
4 4 2
3 4 0
1 0 4
2 4 3
0 3 4
10 7
2 3 2
3 2 3
2 2 1
1 1 2
3 2 1
3 3 0
1 2 1
2 1 3
0 1 0
2 2 2
10 4
0 1 1
1 2 2
1 1 2
3 1 5
5 0 2
2 2 0
2 4 3
4 1 3
5 2 3
3 3 3
10 9
0 2 2
2 2 2
0 0 1
0 0 0
1 1 1
0 2 1
1 2 2
1 2 0
0 1 1
2 0 2
10 9
2 2 1
1 0 0
2 1 2
2 0 1
0 1 0
1 2 1
1 1 2
0 0 1
0 2 2
2 1 0
10 3
1 0 1
3 2 0
2 1 3
1 1 2
2 3 3
1 3 3
3 1 3
1 2 1
3 1 2
0 2 2
10 4
2 5 3
5 2 5
5 3 1
3 0 2
4 3 0
5 5 3
0 2 5
4 1 2
5 1 3
1 3 2
10 6
2 2 1
0 2 2
0 2 0
0 0 2
1 2 2
1 1 2
1 0 1
2 1 2
0 1 1
1 1 1
10 5
0 2 2
3 3 2
0 1 2
0 0 1
2 1 1
1 3 2
1 0 1
3 0 0
1 2 2
2 0 1
10 2
3 2 1
2 2 1
0 0 1
1 3 3
1 3 2
0 0 0
3 1 3
0 3 0
2 2 2
1 3 0
10 3
1 3 0
2 3 3
3 2 2
2 1 3
2 2 1
1 1 1
1 1 0
0 1 1
3 0 2
2 0 0
10 4
3 5 2
5 5 1
0 4 2
1 4 2
5 5 5
5 3 0
5 4 0
2 3 0
5 4 1
4 4 3
10 5
1 0 2
2 1 3
1 2 3
2 3 3
1 2 0
3 1 3
2 3 0
0 1 2
0 3 0
3 3 0
10 7
2 2 0
0 1 0
0 0 2
1 0 0
0 0 1
1 2 0
2 1 1
0 1 1
2 1 0
2 0 2
10 5
1 0 2
2 0 0
0 1 0
2 0 1
0 2 1
0 2 2
0 0 2
1 0 0
1 1 1
2 2 2
10 4
2 0 0
0 1 2
1 0 1
2 1 0
2 0 1
0 2 1
1 1 1
1 2 1
1 0 2
2 2 0
10 3
3 4 2
0 0 3
0 0 2
4 1 3
3 0 4
2 4 2
0 4 4
4 2 2
1 3 4
0 3 0
10 5
2 1 1
1 1 2
1 0 0
1 0 2
2 1 0
2 2 1
1 1 0
0 1 0
0 2 2
2 0 2
10 9
0 1 0
4 3 3
0 5 5
1 0 3
1 5 4
4 2 3
5 5 3
2 1 4
5 4 5
3 2 3
10 7
4 4 1
3 3 0
5 5 4
3 4 4
3 1 3
2 5 2
5 3 4
2 5 0
2 3 2
0 3 2
10 8
0 2 1
1 2 0
2 1 0
2 0 1
0 1 2
1 1 1
0 2 0
0 0 2
1 0 2
2 0 2
10 4
1 1 3
1 3 2
3 2 2
0 2 3
1 0 2
3 0 1
2 0 2
3 1 0
2 1 1
0 0 2
10 3
0 5 4
2 0 5
0 4 2
3 3 5
4 5 0
1 2 2
4 2 2
4 5 3
3 5 2
0 5 1
10 2
3 2 1
2 1 3
3 1 3
1 1 0
3 0 1
2 3 3
3 0 3
1 0 0
1 0 2
0 0 2
10 8
4 0 3
1 5 2
0 5 4
2 5 3
3 5 5
2 4 3
3 2 2
4 2 0
1 1 2
4 2 4
10 7
4 4 5
2 3 2
3 5 4
0 0 0
1 1 1
0 5 5
1 4 3
1 2 3
5 4 0
3 2 5
10 7
0 0 2
2 2 1
1 1 0
1 2 1
2 2 0
1 0 1
2 1 0
1 0 0
1 2 0
0 1 0
10 7
1 2 1
2 0 0
3 4 2
0 4 2
0 3 3
3 0 3
1 1 0
1 3 1
1 3 3
2 0 4
10 4
1 2 2
2 1 0
2 0 0
1 0 2
1 1 0
2 1 2
0 1 0
2 0 1
2 0 2
1 1 1
10 4
0 2 0
3 3 3
0 3 0
2 2 0
2 2 3
3 4 2
0 1 0
1 4 0
3 0 0
2 4 0
10 6
0 1 1
1 4 1
3 4 2
2 2 4
3 4 1
3 0 0
0 0 2
3 1 2
3 3 2
4 1 0
10 3
2 1 1
1 0 2
0 1 3
0 3 3
2 0 3
3 1 3
2 2 1
2 2 3
3 0 2
1 3 3
10 3
3 0 0
3 0 2
0 0 1
1 1 0
3 3 1
0 0 0
1 2 1
3 3 2
0 2 1
1 2 0
10 3
3 2 1
1 2 3
0 1 1
0 1 0
3 3 2
1 3 3
3 1 0
2 1 3
0 0 2
2 3 1
10 9
0 3 3
0 3 0
1 3 0
1 2 1
1 1 1
3 2 3
0 3 2
2 0 3
3 3 3
1 1 0
10 6
2 3 1
3 2 3
0 0 0
0 0 1
3 3 1
3 0 0
3 2 2
0 1 1
1 3 0
1 1 1
10 6
5 4 1
1 5 0
1 1 1
4 3 0
2 5 0
0 5 0
5 0 3
1 2 5
4 2 5
2 4 3
10 6
4 2 3
2 4 4
1 2 3
2 3 3
0 0 1
2 2 1
0 3 0
0 4 0
1 3 3
3 2 0
10 3
4 0 1
3 1 4
2 2 4
3 1 3
3 0 0
0 4 4
0 4 0
4 3 4
1 1 3
2 3 1
10 2
2 2 1
1 2 0
1 2 1
1 0 1
0 0 0
0 1 0
2 2 2
0 2 0
2 0 2
1 1 0
10 5
1 2 2
2 1 0
0 1 0
0 3 0
0 0 0
1 1 1
0 1 3
3 1 2
3 1 3
1 1 0
10 9
1 3 2
1 3 1
1 1 0
3 0 3
0 1 1
3 1 2
2 3 0
0 3 2
3 1 1
1 1 3
10 5
4 1 1
2 1 2
5 2 4
5 2 3
5 4 3
4 3 3
2 1 4
4 1 2
1 0 5
1 4 1
10 8
2 0 3
3 4 0
4 3 1
1 1 4
2 4 1
2 3 2
1 4 0
0 4 3
2 0 1
1 4 1
10 5
3 1 3
0 0 1
1 2 1
3 0 2
1 2 0
2 0 3
1 2 2
1 0 1
3 2 1
3 3 0
10 7
1 3 3
3 3 4
3 2 3
4 1 2
4 1 1
3 3 2
3 2 2
0 3 3
1 2 0
3 4 4
10 4
4 4 5
4 4 4
1 5 5
0 4 0
0 5 0
2 1 2
0 2 2
3 4 0
2 3 4
2 0 1
10 9
2 1 1
1 2 2
2 2 1
3 1 3
1 0 0
2 3 1
2 2 2
0 0 0
0 1 0
1 1 1
10 2
2 2 0
1 3 1
0 0 3
2 2 1
1 2 3
2 3 0
0 1 0
0 2 1
0 4 2
1 3 4
10 2
4 0 4
4 4 2
3 1 0
1 2 1
4 1 0
2 1 1
0 4 3
3 0 2
3 0 4
3 4 3
10 9
2 4 1
4 1 0
1 2 3
0 4 1
2 2 4
0 2 3
0 0 2
2 0 1
1 3 1
0 2 0
10 8
3 4 3
1 0 2
1 3 4
1 4 2
1 2 3
0 1 0
3 3 4
3 1 0
3 4 2
2 0 3
10 2
0 2 2
4 3 4
1 0 3
2 3 5
1 4 4
3 3 3
3 5 4
1 3 5
4 2 4
4 5 5
10 9
2 0 1
2 0 0
0 2 1
0 0 0
2 1 1
1 0 2
1 2 1
0 2 0
1 2 0
1 0 1
10 8
3 3 3
3 2 3
0 1 1
3 1 0
1 0 1
2 3 2
0 3 2
2 0 0
2 2 3
3 3 1
10 6
1 1 1
0 2 2
1 2 0
2 2 0
2 1 0
2 1 1
1 0 0
1 1 2
1 2 2
2 0 1
10 3
0 2 3
1 0 3
3 2 2
3 1 2
2 1 2
3 3 0
3 0 1
1 1 2
0 3 1
2 3 1
10 3
0 3 4
2 2 4
1 3 3
0 1 2
4 3 2
3 1 4
0 5 3
4 4 0
3 0 2
3 2 5
10 7
4 1 0
2 2 3
2 2 4
2 1 3
0 2 1
1 3 0
1 3 4
4 1 4
1 0 3
0 3 4
10 5
0 1 2
0 1 0
1 2 2
2 1 1
1 1 0
0 0 0
1 2 0
2 0 2
0 0 2
0 1 1
10 5
1 4 4
2 3 2
4 1 1
5 3 2
2 0 3
2 3 0
4 1 2
5 5 0
0 0 4
0 1 3
10 3
1 2 3
2 3 1
0 2 1
2 2 1
2 1 1
3 3 2
1 1 0
0 0 0
1 3 0
1 0 1
10 5
1 2 0
1 0 0
2 0 1
1 2 1
0 2 2
0 0 1
1 1 0
2 1 0
1 0 2
1 2 2
10 8
1 0 0
1 1 2
0 2 0
0 1 1
0 0 1
1 2 0
2 1 1
1 1 1
0 2 2
2 2 1
10 2
3 3 1
0 1 2
1 3 0
0 0 2
2 0 3
1 0 0
0 3 3
1 1 1
0 2 2
3 2 1
10 3
3 3 3
2 3 0
0 0 3
1 3 0
1 3 1
0 0 2
0 1 3
3 0 2
2 3 2
0 2 0
10 6
4 1 0
2 1 0
3 4 3
2 2 4
0 0 4
3 2 3
2 4 2
4 4 4
1 2 1
0 0 2
10 7
1 1 0
0 1 0
0 2 2
1 0 1
1 2 2
0 1 2
2 2 1
1 1 2
0 1 1
2 0 2
10 4
1 0 2
0 2 1
0 0 0
1 2 0
0 1 1
2 0 0
1 1 1
1 2 2
0 2 0
2 0 2
10 9
4 3 4
4 1 0
1 3 5
4 3 0
0 5 4
1 4 3
5 5 1
2 2 2
5 3 0
1 4 1
10 5
3 3 3
2 0 4
1 1 4
4 0 1
4 3 4
1 4 1
0 1 4
3 2 2
4 1 1
3 1 4
10 5
0 3 3
1 3 1
0 3 1
1 3 2
3 1 3
0 0 2
2 3 1
2 0 1
3 2 1
0 2 0
10 3
3 3 0
3 3 3
3 0 1
2 2 3
0 3 1
1 2 2
1 2 1
1 3 2
2 3 0
2 1 2
10 9
2 2 3
3 0 0
3 0 3
1 1 0
1 0 0
3 1 3
1 3 2
0 2 2
3 0 1
3 3 2
10 8
1 0 2
3 2 0
1 3 2
1 1 2
0 0 2
1 3 1
2 1 1
0 3 1
2 2 0
1 0 1
10 5
4 0 1
2 4 3
1 4 2
3 4 3
3 0 0
0 4 0
3 0 4
2 1 4
1 1 1
1 3 3
10 6
1 2 4
4 0 0
2 4 0
3 0 2
4 3 3
0 0 2
1 0 2
4 0 1
3 3 3
0 2 2
10 8
2 1 0
0 0 3
3 2 3
0 2 1
3 1 3
3 2 2
1 2 1
1 1 0
0 3 2
3 3 1
10 2
2 0 1
1 2 0
0 1 0
0 2 0
1 1 0
1 1 2
2 1 1
0 2 2
1 0 1
1 2 2
10 6
2 1 2
1 0 1
1 2 0
1 2 2
0 2 1
0 0 1
0 0 2
2 1 1
0 2 2
2 2 2
10 2
1 1 0
1 3 0
1 0 2
3 3 3
3 2 1
3 0 1
0 0 0
1 1 3
3 2 0
3 1 0
10 4
0 2 3
1 0 2
0 1 3
1 5 3
1 0 3
3 4 0
3 0 1
1 5 4
2 4 2
1 4 1
10 4
2 0 2
0 0 1
1 3 0
2 1 2
2 0 3
0 1 3
3 2 2
0 3 1
3 3 2
2 0 0
10 2
0 5 1
1 0 1
4 4 1
4 0 1
0 3 1
2 0 3
1 3 3
2 0 0
4 4 5
1 3 5
10 7
4 3 4
2 2 0
4 1 2
1 4 2
1 2 3
0 0 2
4 3 2
2 1 1
4 3 0
1 1 2
10 5
1 0 2
3 1 2
3 0 2
1 3 0
1 3 1
0 0 0
1 0 3
1 0 0
0 2 3
1 2 2
10 6
2 1 1
4 2 4
1 4 0
2 0 3
4 1 3
3 1 0
2 4 1
1 1 0
3 4 2
3 2 1
10 9
0 1 2
4 1 4
2 2 3
3 4 4
1 3 0
4 4 3
2 4 4
3 0 0
4 4 1
1 2 1
10 7
5 0 4
4 2 4
2 0 1
4 0 4
3 5 1
5 3 1
2 1 0
4 5 1
1 1 2
2 4 3
10 6
0 1 3
3 1 2
2 3 2
1 2 2
3 2 2
3 0 1
1 2 3
0 2 2
1 1 3
1 1 2
10 5
2 3 3
3 1 2
0 1 0
3 1 1
2 2 2
0 0 2
2 0 0
1 3 2
1 3 3
0 3 0
10 3
5 2 0
3 5 3
4 2 2
3 2 0
3 3 5
4 2 1
4 3 3
3 0 4
3 2 1
4 5 2
10 9
2 0 0
5 1 1
3 0 2
4 5 1
4 2 4
1 4 0
2 0 2
5 2 1
1 5 2
2 2 5
10 9
1 1 3
4 1 1
3 0 0
4 1 2
1 3 4
3 0 4
0 2 3
0 0 2
4 2 3
4 3 0
10 8
3 1 1
1 0 3
4 3 3
2 3 4
3 2 4
3 2 0
1 4 2
0 2 0
0 0 1
3 0 4
10 6
3 0 1
2 1 2
0 3 0
1 1 0
0 3 2
0 2 1
1 1 1
1 0 2
1 2 3
2 0 3
10 6
1 0 0
0 3 1
1 2 3
2 0 2
2 3 3
2 0 1
0 2 3
0 2 1
0 3 0
2 3 2
10 3
2 1 2
2 0 3
2 3 2
3 4 5
1 2 5
0 1 4
5 0 3
0 2 5
4 3 3
2 5 3
10 6
3 3 2
2 2 2
1 2 2
2 3 2
0 1 1
1 0 1
0 3 1
2 2 0
2 3 0
3 0 1
10 4
2 3 2
2 2 2
2 3 3
3 0 2
3 0 3
2 0 0
2 1 3
2 1 0
0 0 0
3 1 0
10 6
2 0 0
1 1 2
0 1 0
1 2 0
0 2 2
0 2 1
2 1 0
1 0 1
0 0 0
2 1 1
10 4
3 3 3
1 2 2
1 3 1
1 1 2
4 1 0
0 4 3
3 3 1
1 1 4
4 3 2
0 0 1
10 8
1 0 1
0 1 1
1 2 1
1 0 0
0 0 1
1 1 0
2 2 2
1 1 1
1 0 2
2 0 2
10 6
2 1 2
4 3 3
1 1 4
0 1 4
3 2 1
0 4 3
4 3 2
3 2 3
0 2 2
2 2 0
10 3
2 3 2
3 2 1
1 0 0
3 3 2
3 0 0
1 3 0
0 3 1
0 3 0
3 3 3
3 2 3
10 8
4 5 3
5 3 2
1 4 2
3 5 1
2 4 0
4 4 4
3 2 5
5 4 0
4 2 0
3 1 2
10 6
2 0 3
2 1 4
4 4 4
4 1 3
3 0 5
1 0 2
2 4 5
2 3 4
4 2 4
1 2 2
10 2
4 4 2
4 4 0
1 3 3
0 3 2
0 1 3
2 1 1
3 0 2
2 2 2
1 1 0
2 0 4
10 2
2 1 0
0 0 0
2 0 0
1 0 1
0 2 0
0 1 2
1 2 0
2 2 2
0 0 1
0 0 2
10 6
0 1 1
1 1 0
1 1 2
0 2 1
2 0 2
0 1 2
0 0 1
2 2 0
0 0 0
2 0 1
10 6
1 0 2
1 0 1
2 1 2
2 2 1
1 2 0
0 2 0
1 0 0
0 1 2
0 0 0
0 2 1
10 8
2 1 1
1 3 1
5 1 4
2 3 5
3 4 1
5 1 1
4 0 5
3 0 5
2 2 5
2 0 4
10 9
0 1 1
1 2 3
0 1 3
0 0 1
0 1 2
0 2 2
2 0 3
1 1 2
1 3 3
2 1 3
10 3
1 2 1
2 1 1
2 0 1
3 1 3
2 1 3
3 3 0
3 1 2
0 2 3
0 1 0
0 2 2
10 8
1 1 1
0 1 2
1 0 2
0 2 1
0 1 0
0 2 0
2 2 0
2 0 2
2 0 1
1 1 0
10 4
5 3 3
0 2 5
3 0 1
4 4 1
1 2 0
3 2 1
2 2 4
4 0 1
0 0 4
0 2 4
10 5
3 0 1
4 2 0
4 4 0
2 2 3
0 4 1
0 4 2
1 3 4
2 4 4
1 1 2
1 2 3
10 3
2 1 3
2 1 1
1 2 1
3 2 1
3 2 0
0 1 1
3 2 3
1 3 0
0 3 2
2 1 2
10 6
2 3 1
0 0 2
3 4 1
4 1 3
0 4 3
3 4 3
2 4 1
0 1 1
1 0 3
2 4 2
10 5
3 3 1
2 3 3
3 2 3
1 1 3
2 3 1
2 3 0
2 1 0
1 3 1
1 1 2
3 3 2
10 2
0 1 0
2 0 1
1 2 2
1 2 1
1 2 0
0 0 1
0 1 1
2 2 2
1 0 1
1 0 0
10 8
3 3 3
0 4 3
0 4 1
4 1 1
0 1 2
1 0 4
3 1 3
0 0 1
1 1 0
0 2 4
10 7
1 5 3
4 2 1
1 0 2
4 1 5
1 3 4
0 2 1
4 5 2
1 4 3
3 4 5
5 5 1
10 6
5 0 1
1 2 3
3 3 5
2 3 3
2 0 5
2 1 1
2 2 1
4 0 2
1 2 4
5 0 4
10 3
0 2 0
2 0 1
0 2 2
2 1 0
2 1 2
2 0 0
1 2 0
1 0 1
1 1 2
0 1 1
10 9
3 3 1
3 2 1
3 0 0
0 0 0
0 1 1
1 1 2
2 0 2
1 0 2
0 2 1
2 2 1
10 6
2 2 4
3 0 3
0 2 1
2 3 3
2 1 0
0 0 3
3 1 0
3 0 2
3 3 1
4 1 4
10 5
2 0 1
2 3 0
1 2 0
0 3 1
0 0 3
0 2 0
0 2 1
0 3 2
1 1 1
1 2 1
10 5
4 3 2
5 0 3
3 1 3
2 2 3
4 5 1
3 4 3
1 0 2
4 1 1
1 3 1
1 4 4
10 9
5 3 5
0 1 0
1 2 5
4 4 5
4 0 4
1 3 4
4 1 3
4 4 2
2 3 2
0 1 2
10 9
4 2 0
5 4 2
4 5 2
4 4 3
1 2 5
1 3 4
4 3 4
3 5 2
2 1 4
0 4 2
10 7
1 2 2
0 2 0
2 1 0
1 1 2
2 1 1
1 2 1
1 1 0
2 0 1
0 0 1
2 2 2
10 7
2 1 0
2 2 1
1 2 0
2 1 2
1 0 2
0 1 2
0 0 2
0 1 1
0 1 0
1 1 1
10 8
0 2 1
0 0 2
1 2 1
1 1 0
0 2 0
2 2 1
2 0 2
1 0 0
1 2 0
0 1 2
10 8
2 0 0
0 2 1
0 2 2
1 1 1
2 1 1
0 1 1
2 1 2
1 1 2
0 0 2
2 2 0
10 8
0 3 0
1 1 2
1 2 2
0 1 2
0 1 1
2 0 2
3 2 0
1 3 0
3 0 2
0 3 1
10 3
4 2 3
0 1 0
1 3 4
4 4 3
4 3 4
0 0 4
2 0 0
1 4 4
1 3 3
4 1 4
10 8
1 4 0
3 3 1
2 0 2
1 4 4
3 2 1
0 3 3
0 0 3
3 0 3
2 0 1
1 1 1
10 2
2 1 0
0 0 2
0 1 1
0 0 1
1 1 1
1 1 0
0 2 1
2 2 0
0 1 2
1 2 0
10 7
2 3 4
0 4 3
1 2 3
4 2 3
0 3 3
1 3 4
4 0 0
3 3 3
0 3 1
0 1 2
10 4
4 0 3
4 1 3
3 0 0
1 2 4
2 3 5
3 0 5
3 3 5
3 2 4
5 0 5
2 5 1
10 9
1 1 0
1 2 0
1 2 1
0 1 1
2 1 0
2 0 2
2 2 0
1 0 0
1 1 1
1 1 2
10 3
0 4 1
3 1 4
0 1 4
0 3 3
2 1 3
0 2 2
2 0 2
0 1 0
0 1 3
3 3 4
10 2
1 3 2
3 0 4
3 0 2
3 1 2
0 3 3
0 4 2
4 1 1
0 3 1
1 4 2
2 4 1
10 3
1 3 1
2 1 0
2 0 3
1 2 3
3 4 2
2 3 1
2 2 4
4 3 2
1 2 1
1 4 4
10 6
0 1 1
0 0 1
1 2 0
2 0 0
2 2 1
0 2 2
0 2 1
1 0 2
1 1 2
0 0 0
10 9
4 1 3
4 2 2
2 4 1
3 5 3
0 5 4
0 0 3
1 0 1
3 5 4
0 0 2
1 2 1
10 6
1 1 4
0 0 5
1 5 0
0 2 3
3 2 1
4 0 4
2 4 2
1 2 2
1 1 0
4 0 1
10 9
4 4 4
5 2 3
1 2 1
2 0 2
5 4 5
5 4 0
0 1 5
4 5 2
1 5 4
2 2 4
10 9
0 0 0
3 2 1
0 2 1
2 3 3
2 3 1
2 2 1
2 1 0
2 2 2
1 0 0
3 3 0
10 7
2 2 1
3 1 4
0 0 2
0 5 3
2 3 1
2 5 2
0 4 4
2 5 3
3 2 2
2 3 2
10 3
0 4 4
0 3 3
2 1 1
3 0 3
1 2 3
4 4 3
1 4 4
3 2 0
2 4 4
1 0 3
10 2
2 1 1
0 0 1
2 0 1
1 2 0
1 1 1
0 1 2
2 0 0
2 2 1
0 1 1
0 1 0
10 6
0 0 0
2 1 1
1 2 0
1 1 2
2 1 2
2 1 0
1 0 2
0 0 2
2 2 1
2 2 0
10 5
3 2 2
1 1 1
2 0 0
2 2 3
2 3 1
0 1 3
3 3 3
1 0 3
1 2 2
1 3 2
10 2
4 0 1
3 2 0
2 3 2
1 4 0
4 1 4
3 4 0
0 1 4
4 2 2
4 3 0
2 1 1
10 3
2 0 0
0 0 2
2 2 1
2 2 2
1 1 2
0 0 1
0 0 0
2 1 1
2 0 2
0 2 2
10 2
2 1 1
0 0 1
1 1 3
2 3 2
3 1 1
3 2 2
0 1 3
0 3 3
0 3 1
2 1 0
10 9
1 2 2
1 1 2
1 0 1
0 0 1
2 1 2
2 2 1
0 2 2
0 1 0
1 2 1
2 1 1
10 6
2 3 4
1 0 5
3 1 3
2 1 0
0 5 2
5 2 3
1 4 2
1 1 4
0 4 2
1 4 1
10 6
2 2 2
0 0 2
2 2 1
1 0 0
2 0 1
0 2 1
0 0 0
0 0 1
0 1 0
0 1 1
10 8
1 1 0
0 0 1
1 1 1
2 1 2
0 1 2
1 0 1
2 2 1
1 2 2
0 1 0
0 1 1
10 4
0 3 1
2 1 3
0 2 2
2 0 0
1 2 3
2 2 0
3 1 2
0 1 3
3 3 3
3 1 0
10 9
2 1 2
0 0 4
2 1 1
0 2 4
0 2 0
4 3 3
0 4 3
1 4 1
2 2 3
2 0 4
10 8
1 0 1
0 3 2
1 2 2
3 3 1
2 3 1
2 3 3
3 2 3
0 0 3
1 1 3
3 0 1
10 5
0 2 0
1 2 2
2 3 0
2 1 2
3 3 3
2 0 1
3 3 2
0 2 1
2 0 3
0 0 3
10 3
5 4 1
4 1 3
5 1 2
2 2 4
2 3 1
2 5 2
2 4 1
0 5 1
5 3 5
0 0 0
10 2
0 0 1
1 2 0
1 2 1
0 0 0
0 0 2
0 1 1
0 2 2
0 1 0
0 2 1
2 1 0
10 9
3 1 0
0 1 1
0 0 0
2 2 2
3 3 0
0 3 0
2 1 3
2 0 3
2 0 2
3 3 3
10 4
3 4 2
0 2 1
2 1 1
3 0 3
0 0 0
3 3 3
0 3 0
2 0 4
0 0 2
0 3 4
10 5
0 1 1
5 5 4
1 4 1
4 2 2
5 3 2
5 5 2
3 2 0
0 5 2
5 2 4
2 4 5
10 6
2 3 1
0 0 2
2 2 1
1 2 2
3 2 2
3 3 1
0 2 1
0 2 0
0 3 2
1 0 1
10 6
3 0 3
0 0 3
3 2 0
1 1 2
3 3 1
3 2 1
3 1 2
2 2 1
2 1 1
1 0 0
10 5
1 3 4
3 0 1
3 2 4
4 0 4
0 2 4
0 0 2
4 3 1
2 2 4
3 4 0
1 4 0
10 5
0 4 2
4 0 0
5 0 2
0 3 0
5 3 4
4 2 2
2 0 4
4 3 1
0 5 5
2 4 5
10 6
2 0 4
4 4 0
1 5 4
0 1 0
3 4 1
3 5 3
1 2 0
4 4 4
1 0 4
5 3 1
10 8
0 3 3
3 3 4
4 2 1
1 0 1
3 0 3
3 0 1
1 1 3
3 4 0
3 1 3
0 3 2
10 8
0 1 5
0 4 1
2 4 4
1 2 1
3 5 1
1 0 1
5 5 5
0 5 1
2 3 1
4 5 5
10 4
2 2 0
2 2 2
0 1 0
1 0 2
3 4 0
2 3 4
2 1 1
2 1 2
4 0 0
2 0 2
10 9
1 2 3
2 0 1
3 1 0
0 3 1
1 1 2
2 2 2
0 1 3
0 1 0
0 2 0
3 2 2
10 6
4 1 3
1 5 3
2 2 5
1 0 4
5 2 0
3 1 0
5 0 3
4 0 5
3 4 2
3 2 3
10 2
1 1 0
1 2 0
2 1 1
1 0 2
2 1 0
2 2 1
2 0 2
2 2 2
1 2 2
1 1 2
10 8
4 2 0
4 1 3
3 0 1
0 2 2
4 0 1
3 0 3
1 4 1
1 3 4
2 4 0
3 3 2
10 8
1 2 0
2 0 2
1 0 2
1 1 1
2 2 0
1 0 0
2 1 0
2 2 2
2 0 0
2 2 1
10 8
1 0 2
1 2 0
2 2 0
0 1 2
1 0 0
2 1 2
1 0 1
2 2 1
1 1 0
2 1 0
10 2
2 0 1
2 2 1
0 1 0
1 2 2
0 1 2
0 2 0
1 0 1
2 1 0
0 1 1
0 2 1
10 3
2 2 1
0 0 0
0 1 0
2 1 0
0 0 2
1 1 1
1 2 0
0 0 1
1 2 2
2 0 2
10 6
0 1 3
3 2 3
0 1 0
0 3 0
4 4 4
4 3 1
3 1 2
2 3 4
4 2 4
4 1 3
10 3
0 2 0
1 1 1
0 2 2
0 0 0
0 1 0
0 2 1
2 2 1
0 1 1
0 1 2
1 2 1
10 9
3 4 1
2 1 2
0 4 1
3 2 0
0 1 0
0 0 2
1 2 1
0 2 0
4 0 1
1 4 4
10 2
3 3 3
2 2 1
2 3 1
1 2 2
0 0 1
2 2 4
4 2 2
3 2 2
2 4 0
3 3 4
10 6
2 0 2
1 1 1
2 2 2
0 2 1
0 0 2
0 2 0
2 1 2
2 2 1
2 2 0
2 1 0
10 5
1 2 2
1 0 2
1 0 1
2 2 1
2 0 0
1 0 0
1 1 2
0 2 0
2 1 0
1 2 0
10 6
0 2 1
2 1 0
0 2 0
0 0 1
1 0 1
0 1 2
0 0 2
1 0 0
1 1 2
2 0 0
10 7
2 1 0
1 2 0
0 1 0
2 1 2
0 2 0
0 1 1
1 1 1
2 0 0
2 2 2
0 1 2
10 5
2 2 2
1 0 1
1 1 2
1 0 2
0 1 2
0 2 2
2 0 0
1 0 0
1 1 0
0 0 2
10 6
1 3 2
2 3 2
0 2 2
3 2 1
0 3 1
2 3 1
2 2 2
3 1 3
2 2 1
3 0 3
10 5
1 1 1
1 0 1
2 0 2
1 1 0
2 2 2
1 0 0
0 1 0
0 1 2
0 0 2
1 2 2
10 7
0 2 1
1 3 0
0 2 0
4 1 3
0 5 4
2 1 1
1 4 2
4 1 2
0 2 2
1 4 3
10 2
2 1 2
5 1 4
0 1 5
4 0 0
2 2 3
0 3 4
0 1 4
2 3 3
5 5 4
1 3 5
10 7
1 1 1
2 0 2
1 0 1
1 0 0
2 3 3
2 0 0
1 3 2
3 2 1
0 0 0
2 2 3
10 6
2 3 2
1 1 0
2 0 3
1 0 2
1 2 2
1 3 2
1 1 3
1 3 0
0 3 0
2 3 1
10 5
2 3 1
3 2 5
1 2 3
3 0 0
5 3 4
0 3 0
5 2 3
3 1 2
4 1 2
0 3 1
10 5
0 0 2
0 0 1
2 2 0
1 0 0
0 2 0
2 1 2
2 1 0
2 0 0
1 0 2
2 2 1
10 6
0 2 0
1 1 2
1 0 0
0 0 1
1 2 0
2 0 0
2 2 1
2 1 0
2 0 1
2 1 1
10 6
2 2 0
4 3 2
0 0 1
5 5 1
3 1 2
1 1 0
1 5 0
3 0 2
1 4 1
0 1 5
10 4
0 1 0
2 0 0
0 2 0
1 0 1
1 0 0
2 1 0
0 0 0
2 2 0
1 0 2
0 1 1
10 3
1 5 2
5 2 5
4 3 1
5 1 5
5 3 5
0 4 5
0 0 5
2 0 1
1 1 2
2 4 4
10 3
0 2 0
4 5 5
0 4 4
0 5 1
3 4 5
5 5 4
2 2 1
3 1 2
2 5 0
5 1 1
10 3
1 3 2
5 1 0
1 5 0
2 2 3
1 4 1
3 5 3
5 3 5
5 5 2
2 4 0
2 0 3
10 7
1 1 0
2 0 3
3 3 1
5 5 2
1 4 2
0 2 4
3 4 0
4 2 0
3 1 3
1 2 0
10 6
3 1 3
1 1 1
1 2 2
0 1 0
0 2 1
2 3 0
2 2 3
1 3 2
2 0 3
0 3 3
10 9
2 0 2
2 1 0
0 4 4
5 5 4
5 3 4
5 1 2
1 0 1
4 1 5
4 3 0
4 4 4
10 3
1 2 2
1 4 2
5 5 0
0 0 0
3 3 0
0 0 1
1 5 3
4 1 3
2 3 4
5 3 2
10 3
3 1 3
1 0 3
2 1 0
2 2 3
0 2 2
0 2 1
1 2 1
3 2 3
2 0 1
2 1 1
10 8
0 1 3
3 3 2
0 3 3
3 1 3
1 2 2
3 0 3
2 2 0
3 2 1
0 0 1
0 2 0
10 7
2 1 4
2 2 2
4 1 5
3 1 3
5 4 3
1 5 3
3 4 3
5 2 4
1 2 4
2 4 0
10 9
0 2 1
2 0 0
2 1 2
1 0 2
2 0 1
0 0 0
2 2 1
0 2 0
0 1 2
1 1 1
10 4
1 0 0
1 2 1
2 1 1
0 2 2
1 0 1
1 2 0
0 0 0
1 2 2
0 1 0
0 1 1
10 5
0 1 3
0 2 1
3 3 3
2 3 0
0 2 0
3 3 2
1 0 2
0 0 1
1 3 0
3 0 1
10 2
2 2 4
1 3 1
3 4 2
2 3 4
1 3 4
0 1 0
4 4 0
3 3 4
2 0 0
2 4 4
10 7
2 0 1
0 0 2
2 2 0
1 1 1
0 1 1
2 1 0
0 0 0
1 0 1
2 0 0
2 2 2
10 4
0 2 1
2 1 0
2 2 1
1 1 1
2 0 1
1 2 2
0 0 2
0 2 0
1 0 1
2 0 2
10 2
2 1 4
1 0 3
1 4 1
1 1 3
0 0 1
1 0 1
1 4 2
3 2 0
4 4 4
0 3 2
10 4
1 0 3
5 5 2
0 1 2
0 2 5
3 3 1
2 0 1
4 5 5
4 1 5
4 2 5
2 0 4
10 9
0 2 1
0 0 1
0 2 2
0 0 0
2 1 0
1 0 2
0 1 0
0 0 2
2 0 0
2 2 1
10 5
2 2 2
1 1 1
2 1 1
2 0 2
0 2 0
0 1 1
0 2 1
0 1 2
1 0 2
1 2 1
10 4
3 2 0
1 4 3
4 0 4
3 2 1
1 0 2
2 4 3
0 0 4
1 2 4
1 3 2
0 2 1
10 6
1 3 3
0 0 3
0 1 2
2 1 1
0 0 2
2 1 2
3 3 2
3 0 2
2 0 0
0 3 3
10 5
2 2 4
0 3 0
4 2 1
0 2 4
4 3 0
0 2 3
4 4 1
3 3 2
2 4 0
4 0 3
10 9
2 0 1
1 3 3
2 0 2
2 3 0
2 0 0
3 0 1
1 0 1
0 2 2
2 1 0
3 2 3
10 3
1 0 2
3 2 2
2 2 0
3 3 0
3 0 1
3 2 1
2 0 3
2 0 1
2 2 3
0 0 2
10 8
0 0 4
4 1 3
3 5 0
3 1 1
2 5 3
1 1 5
5 4 1
3 3 5
0 2 2
3 2 5
10 2
2 0 3
3 4 4
1 0 5
1 4 2
4 5 4
4 3 0
0 4 0
1 3 5
3 4 5
1 5 3
10 9
2 2 2
0 1 2
1 1 2
2 1 1
2 0 0
1 2 1
2 1 0
2 0 1
0 0 1
2 0 2
10 8
1 2 2
2 0 2
0 0 2
1 0 2
1 2 0
0 2 2
2 2 0
0 1 0
2 2 2
1 0 1
10 8
1 3 1
4 3 1
4 0 0
1 3 2
1 4 2
3 2 1
3 0 0
0 0 1
2 2 1
4 0 2
10 7
2 1 2
2 1 1
0 2 2
0 0 1
0 1 0
1 2 1
1 1 0
0 2 1
2 0 2
2 1 0
10 7
2 2 0
1 1 1
0 2 0
0 1 1
2 2 2
1 2 1
1 2 2
1 1 2
2 0 0
2 1 2
10 8
0 1 2
2 2 1
0 2 0
2 3 2
1 3 0
2 0 0
2 3 3
2 1 1
3 3 3
0 3 3
10 3
5 4 5
0 2 4
1 5 5
5 4 3
3 2 1
2 4 2
0 0 2
3 0 2
2 0 4
4 4 0
10 4
0 1 4
2 4 0
4 0 2
2 0 3
1 1 2
1 1 3
4 4 4
1 0 1
0 0 1
4 1 0
10 6
0 2 0
0 2 2
2 1 0
1 0 0
2 1 1
2 0 2
1 1 0
0 2 1
0 1 2
1 1 2
10 8
3 1 3
3 0 0
0 0 0
1 0 3
3 3 3
2 1 2
3 3 2
2 2 3
2 0 3
1 1 3
10 3
1 0 2
1 1 3
3 0 1
0 2 3
1 3 0
0 1 0
0 3 3
2 1 3
1 2 1
0 2 2
10 7
1 3 3
0 3 1
0 0 1
2 1 3
3 1 0
3 3 0
1 0 3
3 3 1
1 1 0
2 0 2
10 5
1 3 0
1 3 2
2 0 3
3 3 1
0 0 3
2 3 3
2 0 1
3 2 3
3 2 0
3 1 0
10 2
1 1 0
2 0 1
1 2 0
1 2 1
2 1 2
0 1 0
1 1 2
0 1 2
2 0 0
2 2 0
10 5
0 2 0
2 2 2
3 2 1
0 0 1
2 2 0
3 0 3
3 3 3
1 1 0
3 1 3
0 0 2
10 6
3 0 0
1 0 0
1 3 2
2 1 0
3 2 1
1 3 1
3 3 0
0 1 2
2 3 1
3 3 2
10 7
2 0 0
2 4 4
0 4 1
5 3 5
5 0 2
0 3 5
2 5 1
5 5 3
2 4 0
1 0 3
10 5
3 5 5
1 2 5
0 3 1
0 4 2
5 3 0
1 2 3
1 2 2
1 0 1
2 1 2
1 0 2
10 6
0 2 3
2 3 2
2 0 3
1 0 3
3 0 2
1 2 3
1 1 0
0 0 3
3 1 0
2 3 0
10 9
2 0 1
0 2 2
0 1 1
0 0 0
0 0 2
0 1 2
1 1 2
1 0 0
2 0 2
1 2 2
10 6
2 1 1
1 1 1
2 0 1
0 1 2
1 0 1
0 1 1
0 2 2
2 2 1
2 0 0
2 1 2
10 5
1 0 0
3 2 1
2 4 3
4 2 0
2 0 0
4 3 2
0 3 2
2 2 2
3 3 2
1 4 0
10 9
5 5 0
4 4 3
0 1 4
1 5 5
3 2 5
0 2 3
4 1 1
3 4 4
3 2 2
2 5 0
10 2
3 2 4
2 3 1
4 4 5
0 1 4
4 0 2
1 3 5
2 4 0
2 5 5
1 2 4
5 0 4
10 6
5 1 1
4 3 3
5 1 5
0 0 1
0 4 2
0 3 3
0 2 2
0 0 3
0 5 1
2 5 3
10 9
1 1 1
2 1 2
1 0 1
0 1 2
2 1 1
2 2 2
2 1 0
0 0 2
0 1 1
2 2 1
10 4
2 1 2
0 0 3
0 4 1
2 2 4
1 2 3
1 3 0
2 1 4
2 0 0
0 3 0
2 2 0
10 2
0 0 0
2 0 1
1 2 1
0 2 0
2 0 0
1 0 0
0 1 2
0 1 0
0 1 1
2 0 2
10 8
1 1 4
1 1 3
2 4 1
2 1 2
2 4 0
4 1 0
1 2 3
0 2 2
2 4 3
2 1 0
10 3
2 0 2
0 2 2
2 1 0
0 1 2
0 1 0
1 2 0
2 0 1
1 2 1
2 1 1
0 2 1
10 7
4 4 2
5 0 3
0 5 1
2 1 2
1 3 5
1 2 0
2 2 4
3 1 2
4 5 2
4 5 3
10 8
0 3 0
4 1 3
0 2 1
1 3 0
4 4 0
4 3 2
3 1 0
0 2 2
3 2 2
0 0 1
10 2
3 2 0
3 0 2
1 0 3
1 0 2
0 0 0
2 3 1
0 3 2
2 2 1
3 3 3
2 0 1
10 5
1 0 0
1 2 1
0 0 0
2 2 0
0 2 2
0 2 1
1 2 0
0 0 1
0 2 0
2 2 1
10 6
2 4 2
3 1 4
0 1 4
3 2 3
1 2 4
2 0 0
1 1 0
1 4 1
0 2 2
4 0 3
10 2
1 2 1
2 2 0
0 0 1
2 1 0
1 1 1
1 2 2
0 2 0
1 0 2
0 1 2
0 1 0
10 6
3 1 3
0 0 3
2 1 2
1 0 3
3 2 0
2 3 1
0 0 0
1 1 2
2 3 0
0 0 2
10 5
2 2 0
1 1 3
0 0 2
1 0 0
1 2 3
2 1 3
1 1 2
3 1 3
2 2 2
1 2 2
10 7
1 2 3
0 3 2
2 2 1
2 1 3
0 2 3
1 3 3
3 1 1
1 1 1
1 0 2
3 0 0
10 3
2 1 0
2 1 1
0 2 2
0 1 0
1 1 1
0 0 2
1 2 2
0 0 0
1 2 1
2 2 0
10 9
2 0 0
2 2 2
0 0 0
1 1 1
1 2 0
1 1 2
0 1 1
0 2 2
1 0 0
2 1 2
10 5
1 0 1
2 0 2
1 2 1
0 0 1
0 1 0
2 1 2
0 1 2
1 2 2
1 0 2
2 1 1
10 7
1 4 4
1 1 1
0 1 4
3 1 3
0 2 0
1 2 4
2 4 0
4 0 2
3 3 4
4 3 2
10 5
2 5 4
1 4 5
2 3 4
0 5 0
4 0 4
3 4 2
4 2 4
1 5 5
1 2 2
4 3 5
10 3
3 3 1
2 2 1
1 3 0
1 0 3
3 1 3
2 3 0
0 0 1
2 0 3
0 2 1
3 3 3
10 3
3 1 0
2 1 4
2 3 2
0 2 4
0 1 1
0 3 2
4 0 2
0 4 0
3 0 4
1 3 4
10 2
1 0 0
1 4 4
0 2 4
4 3 1
0 2 3
1 3 3
0 3 0
4 2 3
4 0 4
0 2 2
10 5
0 1 0
3 1 1
2 0 3
1 3 0
1 0 0
2 1 2
0 3 0
1 0 1
2 0 0
2 3 1
10 3
2 2 1
0 2 1
2 1 3
2 0 1
3 3 2
1 0 3
0 0 3
1 0 1
3 0 1
2 1 0
10 2
3 5 2
1 2 3
3 3 1
0 5 2
4 3 3
5 0 5
3 3 0
4 1 0
2 4 3
1 5 3
10 8
1 2 1
2 0 0
0 2 2
2 1 2
0 0 1
2 2 1
1 0 1
0 2 0
0 1 1
0 1 0
10 3
3 1 0
1 3 1
3 3 2
3 2 1
0 2 2
1 1 1
0 0 3
3 0 3
2 1 3
2 0 0
10 6
4 3 3
2 0 3
0 2 3
0 1 2
1 4 4
4 1 3
0 4 2
3 1 2
3 1 4
1 0 1
10 3
1 2 2
0 0 0
1 2 1
1 0 1
1 0 2
1 2 0
0 2 2
2 0 2
2 2 1
0 0 2
10 5
3 2 1
1 2 0
0 1 1
0 1 3
1 3 3
0 3 0
1 2 2
0 3 2
1 2 3
1 3 0
10 3
3 2 3
2 4 1
4 3 2
2 3 4
2 2 3
4 1 3
3 4 4
3 4 3
0 1 4
4 1 2
10 2
0 0 3
0 2 2
4 4 1
4 3 1
3 2 2
2 3 0
3 2 3
0 2 1
0 1 4
3 4 2
10 2
2 3 1
2 2 2
3 1 3
1 2 2
1 0 3
0 2 0
1 3 3
0 1 0
3 3 3
3 1 0
10 7
5 4 3
3 5 0
5 2 2
5 3 3
0 3 1
2 2 3
0 3 3
1 2 5
4 5 1
1 0 5
10 4
5 5 1
3 0 1
5 5 5
3 1 0
2 1 5
3 2 0
2 1 1
3 3 1
4 2 2
1 3 0
10 2
3 2 1
3 1 0
0 3 1
1 1 0
0 1 3
2 1 1
3 1 1
0 1 1
0 1 0
2 2 2
10 9
0 4 1
0 1 4
2 0 1
1 2 3
3 3 0
3 4 4
4 3 4
3 1 3
4 0 2
2 1 4
10 3
0 1 0
3 2 2
0 0 1
1 2 1
0 2 0
3 1 0
1 2 2
3 2 0
2 3 2
1 0 2
10 7
2 1 2
0 1 2
1 2 0
0 2 0
1 2 2
2 1 0
0 1 1
2 0 0
2 2 0
2 2 2
10 2
3 1 0
3 4 3
0 2 4
1 4 1
4 2 2
2 3 1
0 3 2
2 2 3
2 2 0
4 1 4
10 5
0 1 3
0 0 0
3 3 3
2 2 2
2 3 0
2 3 2
0 3 1
0 0 1
2 3 1
3 0 1
10 4
2 2 0
1 2 1
0 2 0
0 0 1
1 0 0
2 1 1
1 2 0
0 0 2
0 2 2
1 2 2
10 9
4 4 3
2 3 0
4 0 0
1 3 2
1 0 2
2 0 4
1 4 1
4 0 2
0 3 1
2 2 3
10 2
2 1 1
3 0 3
1 0 0
1 4 2
0 2 1
1 4 1
4 2 0
2 2 0
4 1 1
2 2 1
10 2
0 3 3
2 0 2
2 3 0
0 3 0
2 1 0
0 2 1
2 3 1
1 2 2
1 2 0
0 3 1
10 2
5 0 0
0 1 2
0 3 0
3 3 0
1 5 5
3 3 2
0 4 3
3 4 0
3 5 0
1 4 5
10 9
2 2 2
2 0 2
1 1 0
1 0 0
1 2 1
2 1 0
1 2 0
0 1 1
0 2 0
1 0 1
10 7
2 1 2
1 2 1
0 1 0
2 0 0
1 1 2
1 0 2
0 1 1
1 0 1
2 2 2
0 0 2
10 5
1 3 3
3 2 3
2 0 1
0 3 1
2 2 2
2 0 0
2 3 1
2 2 1
1 2 3
3 1 2
10 9
5 4 4
2 3 2
1 5 3
2 5 1
5 1 4
3 3 5
2 5 4
4 5 3
3 2 4
3 3 4
10 9
1 0 1
2 2 2
1 2 0
1 1 2
0 0 0
1 0 2
2 2 0
0 2 0
1 1 0
2 1 0
10 7
5 5 2
0 3 4
2 3 4
5 5 1
5 2 4
2 3 3
5 0 2
0 0 5
2 0 4
5 0 4
10 6
4 4 4
1 1 1
4 3 2
2 0 0
4 4 0
3 1 3
3 4 3
1 3 4
3 1 0
3 0 2
10 9
1 0 2
3 2 4
3 1 0
4 1 5
0 4 0
0 3 1
4 4 2
5 5 3
4 3 2
5 1 2
10 4
0 0 0
2 2 1
0 0 2
0 2 1
1 1 0
2 2 2
0 2 2
1 0 1
0 2 0
1 0 2
10 9
0 2 1
0 1 1
1 2 2
2 1 2
1 0 2
2 1 0
1 1 1
2 0 2
2 1 1
2 0 0
10 2
2 3 3
2 4 1
0 1 3
3 0 2
0 2 1
1 4 3
3 0 4
4 1 4
1 1 3
1 0 2
10 5
2 2 2
1 5 5
1 2 4
3 0 2
3 2 4
5 3 3
0 4 0
0 5 2
2 3 0
0 2 2
10 7
0 4 1
0 0 2
2 2 3
0 3 2
1 2 0
4 1 1
1 0 2
0 2 0
3 3 4
0 1 0
10 8
4 2 4
2 0 0
3 2 1
3 4 4
1 1 1
0 2 0
2 2 2
2 4 4
3 0 1
3 2 2
10 8
4 4 3
2 4 2
2 2 3
4 2 3
0 1 1
1 0 2
4 2 2
4 1 4
3 4 4
0 4 0
10 9
3 4 3
1 0 1
4 4 2
3 3 1
1 3 0
3 1 0
4 1 0
4 3 4
3 2 2
4 1 1
10 8
0 1 1
0 2 1
0 2 0
0 1 3
2 0 2
1 1 1
0 3 3
3 2 0
1 0 2
2 3 2
10 3
2 2 3
2 3 0
0 3 2
2 1 3
1 3 2
0 2 3
2 2 1
1 0 3
1 0 2
2 3 3
10 5
0 0 1
1 2 3
1 0 1
0 2 3
0 0 3
3 3 3
0 1 1
0 2 2
2 2 1
2 3 0
10 2
3 2 4
4 5 0
0 1 1
4 5 1
1 1 5
5 2 1
4 5 5
0 4 3
4 4 4
2 2 4
10 5
1 4 5
1 5 1
0 3 4
2 0 2
3 5 5
3 5 0
3 0 4
0 5 1
4 4 3
3 3 4
10 9
0 2 0
3 3 0
2 1 4
1 0 1
4 3 1
1 2 3
4 0 1
4 3 0
3 1 0
4 0 2
10 6
3 1 2
1 3 1
3 1 3
1 2 1
0 3 2
0 0 1
2 2 1
0 3 0
0 1 2
3 0 0
10 4
0 0 2
2 1 1
2 1 2
1 0 0
2 0 2
1 1 1
0 0 0
0 2 2
0 1 0
0 0 1
10 8
1 0 0
0 0 0
1 1 0
0 1 1
0 0 2
2 1 0
0 0 1
0 2 1
2 0 1
2 1 1
10 6
2 3 2
2 1 3
1 0 0
3 1 1
0 3 0
0 1 0
0 3 1
1 2 0
0 1 3
1 1 3
10 5
1 1 1
4 1 4
0 0 0
2 4 0
2 0 1
0 2 4
2 4 2
4 1 1
3 3 1
4 2 0
10 6
1 0 2
2 1 0
0 2 1
0 1 2
2 0 0
1 0 0
1 2 2
0 0 1
0 1 1
1 2 1
10 8
1 3 3
1 0 0
5 1 5
4 3 5
4 2 5
4 1 5
3 0 3
3 3 0
5 4 3
1 5 2
10 7
1 2 2
0 2 5
4 0 0
4 5 4
4 1 3
3 0 4
1 4 3
0 1 5
3 5 5
0 2 2
10 7
1 1 3
2 0 3
3 3 2
3 2 1
3 0 1
2 1 0
2 2 0
3 1 0
0 2 0
3 2 3
10 4
3 0 2
2 3 1
0 0 0
3 3 0
0 1 0
1 3 0
1 1 0
0 0 1
0 1 3
1 1 1
10 4
3 0 3
1 3 3
3 2 3
2 3 1
3 2 1
2 1 3
3 3 3
1 0 1
3 1 2
0 0 1
10 5
2 3 0
0 0 3
1 3 1
2 2 0
3 3 2
2 2 2
3 1 2
3 2 1
0 2 0
0 1 2
10 9
1 0 2
1 0 0
1 0 1
0 1 0
1 2 0
2 1 1
2 2 1
0 2 0
2 2 2
1 2 1
10 2
5 3 0
0 4 2
1 5 5
1 5 4
4 3 1
5 2 2
2 2 4
2 3 2
4 4 1
4 5 0
10 7
2 2 5
4 5 2
2 2 3
5 2 0
0 3 1
5 4 3
4 0 1
0 2 2
1 3 4
5 1 3
10 7
0 2 2
2 3 3
2 1 1
0 0 2
2 0 3
3 3 1
1 2 3
3 2 1
0 1 2
2 0 0
10 3
1 1 2
1 2 0
2 1 0
1 2 1
0 2 2
1 0 2
0 1 1
2 2 2
2 0 1
2 0 2
10 3
1 0 4
4 3 4
4 3 3
4 1 1
2 0 0
3 3 1
0 3 1
2 3 3
4 4 0
1 3 3
10 3
3 1 3
3 1 2
2 4 4
3 1 0
2 1 2
4 3 0
3 3 4
1 2 3
0 2 2
0 2 1
10 8
2 1 1
1 0 1
2 2 1
1 0 0
1 1 0
0 1 0
1 2 1
0 0 1
0 2 2
2 0 2
10 7
0 2 1
2 1 1
0 3 1
0 1 1
0 0 2
0 0 1
3 0 2
3 2 2
2 0 1
3 2 0
10 2
0 0 3
0 4 4
2 4 0
3 2 1
5 4 3
1 4 5
2 4 2
3 4 1
5 1 2
4 0 5
10 3
2 2 0
1 0 0
1 2 2
2 0 2
0 1 0
0 1 1
2 0 1
0 1 2
2 2 2
2 0 0
10 8
0 0 0
2 1 0
1 1 2
0 1 0
2 1 2
0 1 2
1 0 0
1 1 0
0 2 1
2 2 1
10 3
5 3 4
5 5 2
1 2 3
0 3 4
1 5 3
1 4 2
4 3 0
5 3 5
1 0 3
4 4 3
10 3
1 3 1
3 0 2
4 1 2
4 1 1
3 4 3
3 3 3
0 3 1
1 2 1
3 0 1
0 3 0
10 8
1 1 2
1 2 2
0 0 2
2 0 2
0 1 1
0 1 2
1 0 2
1 1 1
2 1 1
0 0 1
10 7
2 0 1
0 2 1
0 1 1
2 1 2
1 1 1
1 2 0
0 0 1
1 0 1
1 1 0
2 2 1
10 4
1 1 3
1 0 3
0 1 1
2 4 3
1 5 2
1 4 3
5 2 1
3 4 2
0 1 4
3 1 1
10 4
1 0 3
2 2 3
0 0 3
1 2 0
3 3 0
2 1 0
2 0 3
2 2 0
1 2 3
1 3 0
10 8
2 1 0
4 2 3
3 2 0
3 3 0
4 2 4
4 2 1
0 3 3
3 0 0
2 2 0
0 1 0
10 5
0 2 2
3 1 3
2 0 3
3 0 3
0 2 3
3 0 0
0 0 2
1 0 2
3 2 0
2 3 0
10 4
2 5 1
1 5 5
0 2 1
1 4 0
0 0 1
0 0 4
2 3 2
3 5 0
0 4 2
5 5 2
10 8
4 0 3
0 2 2
3 4 3
0 1 2
2 3 5
4 5 2
1 4 0
2 3 1
5 0 5
3 1 3
10 5
2 0 1
0 2 2
1 1 3
4 1 2
3 3 2
1 4 3
0 0 3
4 4 2
4 3 0
4 4 1
10 2
3 0 0
2 1 1
1 1 1
3 3 0
1 1 3
2 3 2
2 2 1
3 0 2
2 2 3
3 2 1
10 4
3 1 0
4 2 3
2 3 2
4 2 2
2 1 1
1 2 0
3 2 0
4 1 3
5 3 5
5 0 4
10 4
0 0 0
3 4 2
3 4 0
4 1 2
1 4 3
3 0 1
2 0 0
2 1 0
1 3 2
2 0 4
10 8
2 0 1
0 1 1
1 0 2
2 1 2
0 1 2
1 0 0
2 0 2
0 2 0
1 2 0
0 0 1
10 6
3 0 3
2 0 3
3 2 1
2 3 1
1 0 2
3 3 0
0 2 0
2 1 2
2 1 0
0 1 0
10 4
1 2 2
1 0 0
0 3 2
3 2 0
3 1 0
2 2 1
2 2 3
2 1 0
1 0 3
1 1 2
10 8
0 1 2
1 4 3
1 4 1
3 1 0
1 1 3
0 0 1
2 0 2
1 3 0
0 1 3
0 1 1
10 5
4 3 4
4 4 4
2 2 0
1 3 3
2 4 3
4 0 3
0 4 1
1 2 3
1 4 2
0 0 2
10 2
1 0 3
3 3 1
4 4 4
3 3 2
4 1 4
2 0 0
2 1 0
0 4 2
3 3 3
1 3 3
10 5
4 0 0
3 3 0
2 1 1
4 0 1
2 3 0
2 2 3
4 2 4
4 3 1
0 1 2
2 0 1
10 2
3 1 2
1 3 3
0 1 3
3 3 2
2 0 0
2 2 1
1 2 2
2 3 2
3 3 3
0 0 3
10 8
5 5 5
1 3 3
4 3 1
3 4 3
2 0 0
0 2 4
2 4 4
3 0 1
5 5 1
0 0 3
10 4
0 0 1
2 2 2
1 0 1
2 1 1
1 2 1
1 1 2
2 1 2
2 0 1
2 0 0
0 1 1
10 3
4 3 3
2 5 4
0 2 3
2 2 0
0 5 2
3 4 2
1 2 2
5 4 1
4 5 2
0 0 3
10 7
2 2 1
3 1 0
2 0 0
3 1 3
0 2 1
0 1 3
3 3 3
3 0 0
2 3 0
1 2 2
10 8
4 4 1
3 3 1
3 1 1
2 2 1
0 2 1
2 0 0
0 0 2
1 1 4
0 3 1
1 1 2
10 8
4 2 3
3 0 3
0 5 3
2 0 4
2 4 0
3 0 5
4 0 4
3 4 3
2 5 3
3 5 3
10 8
3 3 3
4 1 2
1 3 1
0 2 1
1 4 4
2 2 1
1 2 0
0 1 2
0 4 0
4 2 4
10 7
1 1 2
1 0 2
3 3 2
2 0 3
3 3 0
3 1 1
2 3 2
0 0 2
3 0 0
0 2 2
10 2
2 1 2
1 2 2
0 2 1
2 0 1
2 2 0
2 1 1
1 0 2
0 0 0
2 2 1
1 2 0
10 2
1 1 3
1 2 3
0 1 1
3 2 2
0 3 2
3 0 3
0 2 0
3 2 0
2 3 1
1 1 2
10 3
3 2 2
3 0 2
1 0 0
0 3 1
2 1 2
0 2 0
1 0 1
0 2 2
0 0 0
2 0 3
10 7
5 5 5
2 0 2
0 2 4
0 2 5
5 0 5
4 4 4
1 4 1
4 1 2
5 3 3
3 0 4
10 9
0 0 0
1 1 0
2 0 1
2 1 1
1 2 1
2 2 1
0 2 0
2 2 0
1 2 2
0 1 1
10 5
1 0 2
2 2 0
0 1 0
2 0 1
1 2 0
2 2 1
0 1 2
1 0 0
1 1 0
2 0 2
10 5
0 0 2
0 2 1
1 0 0
1 2 0
2 1 0
1 0 2
1 1 2
0 2 0
0 1 0
1 2 1
10 8
4 3 0
4 0 1
1 5 5
1 5 1
3 0 0
0 5 4
3 3 4
4 3 5
3 3 0
3 5 4
10 6
1 1 0
0 1 2
1 1 2
0 0 2
0 2 1
2 0 2
0 2 2
0 0 1
2 2 2
0 1 1
10 4
0 0 2
0 1 0
2 2 2
1 0 0
2 1 0
1 1 2
2 1 2
2 2 0
1 1 0
1 0 1
10 3
4 2 3
5 0 4
5 0 1
3 2 0
5 4 0
2 3 3
4 5 4
0 1 0
2 2 2
4 1 1
10 2
3 2 0
3 0 1
0 0 0
2 0 1
4 3 3
2 2 3
3 1 3
1 3 2
0 0 2
2 0 0
10 4
5 1 0
2 2 0
3 5 0
3 4 2
3 0 5
4 4 2
1 5 4
4 5 4
3 1 4
3 1 0
10 5
3 1 0
1 3 0
0 2 3
2 4 0
2 1 0
4 1 1
4 0 0
0 0 1
0 4 4
1 4 0
10 7
4 3 3
4 5 3
1 0 0
0 4 2
5 0 4
2 5 1
0 4 5
5 3 5
3 1 3
5 0 1
10 9
3 1 1
1 0 1
4 0 0
0 3 2
1 1 0
3 3 4
3 2 0
2 3 0
1 2 0
4 0 2
10 5
1 2 1
0 0 0
2 0 1
1 1 0
2 1 2
1 2 0
0 0 1
1 1 1
0 2 0
2 2 2
10 6
3 3 4
4 3 2
0 0 1
0 4 4
1 4 1
2 4 1
0 4 2
1 0 3
1 3 4
2 0 3
10 2
1 1 3
2 1 0
1 0 0
3 1 0
0 0 3
2 1 3
3 3 1
3 1 3
0 0 0
2 1 1
10 8
1 4 3
3 1 0
0 3 4
3 3 1
1 0 2
0 4 2
2 0 0
1 1 1
2 4 3
2 2 1
10 8
0 0 1
3 5 2
2 2 0
2 5 2
0 4 1
2 4 1
1 0 4
4 3 4
2 1 5
0 3 0
10 4
3 3 1
1 2 3
2 1 3
2 2 0
0 2 1
2 0 3
0 2 0
3 2 1
1 0 3
0 0 1
10 5
1 1 0
2 2 0
2 3 2
2 2 3
3 3 0
1 3 0
1 1 3
2 3 1
2 0 3
3 2 0
10 6
2 2 2
2 2 1
2 1 2
2 2 0
0 1 0
0 1 1
1 2 2
1 1 2
1 0 0
2 0 2
10 3
0 2 0
1 3 3
0 0 3
0 1 0
0 2 1
2 2 3
1 1 2
2 1 3
0 3 2
3 3 3
10 8
1 1 1
2 2 0
3 3 0
0 3 1
1 0 0
1 2 1
2 3 0
3 1 3
0 0 0
1 0 2
10 7
4 2 3
3 3 0
5 5 3
3 4 0
2 4 0
1 3 0
3 1 1
2 1 1
3 4 2
1 0 0
10 5
3 2 3
0 1 2
1 2 2
1 2 0
3 2 0
2 2 3
2 3 2
3 2 2
1 0 3
1 2 3
10 5
0 2 4
0 2 1
1 0 4
2 2 0
2 3 1
1 4 1
1 3 3
1 2 3
3 4 3
0 0 1
10 4
3 0 4
2 0 1
3 3 0
1 1 2
1 0 0
0 3 4
1 0 4
2 3 3
2 3 0
4 4 2
10 9
2 0 2
0 0 2
2 2 0
1 0 2
2 1 1
0 0 1
2 0 0
1 2 0
2 1 0
0 1 0
10 7
0 1 0
0 0 2
1 2 1
0 1 1
2 0 1
1 0 0
2 0 0
1 1 1
2 2 1
1 0 2
10 3
0 2 2
0 1 1
0 2 0
2 0 2
0 2 1
1 0 0
1 1 1
1 0 1
1 1 0
0 1 2
10 5
5 0 1
3 0 1
1 5 4
5 5 1
5 2 3
5 3 2
5 5 5
0 0 1
3 1 2
0 5 2
10 4
3 3 2
4 4 3
2 0 2
0 0 2
4 3 1
1 2 0
2 1 1
0 1 0
4 4 0
3 2 2
10 6
3 0 4
3 3 4
4 0 5
5 5 5
1 0 1
2 3 4
3 4 4
4 3 1
4 0 4
2 0 5
10 5
5 4 4
0 2 5
1 1 1
3 2 3
0 3 4
2 1 3
3 3 1
2 0 2
2 5 1
5 1 1
10 6
0 2 1
2 1 2
2 0 3
2 3 0
1 2 0
1 1 3
1 0 1
1 3 2
1 0 0
3 1 0
10 6
3 3 4
2 2 0
1 0 4
0 4 1
3 4 4
1 2 2
2 3 4
3 1 3
3 1 4
3 1 1
10 6
1 1 1
0 1 0
0 0 0
1 1 0
0 0 1
1 0 0
2 2 0
2 1 2
1 0 2
1 0 1
10 7
2 0 0
2 0 1
1 2 1
1 1 2
1 1 0
1 1 1
2 0 2
1 2 2
0 0 0
1 2 0
10 3
2 1 0
2 2 1
2 2 2
0 2 0
1 1 0
0 1 0
1 1 1
1 1 2
2 0 1
1 2 0
10 6
3 1 2
5 4 0
3 2 3
2 5 5
5 0 4
2 4 2
0 3 2
2 4 0
3 0 4
2 4 1
10 4
1 1 3
0 3 1
1 2 1
2 0 1
1 3 2
1 1 2
1 2 0
2 1 0
2 0 0
1 3 1
10 4
3 0 3
2 4 2
4 0 1
1 0 0
2 3 2
0 0 0
1 2 0
2 0 1
1 0 4
2 0 2
10 9
2 2 2
1 4 0
0 3 3
3 3 3
0 2 0
4 4 2
2 3 0
2 1 3
2 4 0
4 3 0
10 9
5 0 0
1 4 0
0 3 5
5 2 5
2 3 5
5 0 3
3 2 0
3 4 2
3 3 0
5 5 5
10 6
2 2 0
0 0 2
1 0 0
1 1 2
0 2 0
1 2 2
2 1 2
1 2 0
0 2 2
1 0 1
10 5
2 1 0
2 3 0
1 1 0
3 2 0
2 1 2
1 1 3
1 0 2
1 3 2
2 3 1
0 1 1
10 7
0 0 1
0 2 0
3 2 1
0 0 3
1 0 2
0 1 2
2 0 1
1 3 4
4 0 3
2 2 3
10 5
2 2 0
1 0 1
1 1 0
0 1 0
2 0 1
0 1 1
1 1 2
2 2 2
0 2 2
1 0 2
10 8
1 4 0
4 1 4
1 5 5
3 3 0
2 4 2
4 4 0
5 2 4
2 3 1
2 4 5
0 4 1
10 5
0 2 3
2 0 3
2 1 1
2 3 1
3 1 1
0 0 0
2 1 0
3 2 2
1 1 3
0 2 1
10 3
3 0 2
0 3 0
2 3 4
3 3 2
1 0 4
1 1 0
2 2 4
4 1 1
1 0 3
1 0 0
10 6
0 2 0
0 0 3
0 1 3
2 1 0
1 1 1
0 0 1
3 1 0
1 0 3
2 0 0
2 3 1
10 8
5 0 3
5 1 0
5 3 5
1 5 3
4 3 5
4 4 1
1 5 2
3 0 0
2 5 0
2 0 5
10 5
0 0 2
1 2 2
0 1 0
1 2 1
2 0 2
0 0 0
0 2 0
1 1 0
2 2 0
2 0 1
10 3
4 0 4
2 4 1
2 4 0
0 1 4
0 0 3
2 1 0
3 1 2
4 1 1
4 0 1
0 1 3
10 8
0 0 4
0 2 1
4 3 0
3 3 1
2 1 1
2 2 3
4 4 2
0 2 2
3 0 3
2 4 0
10 2
2 2 3
0 3 2
2 3 2
3 3 1
0 0 0
1 2 1
1 3 0
2 1 3
2 2 1
1 3 1
10 6
2 3 1
0 2 1
1 0 1
3 1 2
2 2 1
3 3 1
1 2 3
3 3 2
3 0 3
1 3 3
10 9
4 4 0
2 4 3
1 4 1
4 2 2
3 4 3
2 5 1
3 2 0
1 4 2
2 2 3
5 3 1
10 7
3 0 1
0 2 0
2 0 1
3 0 2
3 2 2
1 3 2
2 2 2
1 1 0
2 2 3
1 0 1
10 8
0 0 3
2 1 0
1 0 0
1 2 2
3 3 0
0 3 0
0 3 2
3 0 2
3 0 3
3 2 0
10 8
2 1 0
0 2 0
1 0 1
2 0 1
2 2 2
0 0 2
1 1 1
1 1 0
2 1 2
2 1 1
10 9
3 1 2
2 1 2
4 2 3
2 1 3
4 0 4
3 4 2
0 2 0
1 2 2
1 0 0
2 0 3
10 4
0 1 1
2 0 0
0 2 0
1 0 2
2 0 1
1 0 0
2 0 2
0 0 2
1 2 1
2 2 0
10 6
1 4 5
3 4 1
2 2 1
1 1 3
1 4 3
1 3 0
1 3 4
3 4 2
5 4 1
1 0 2
10 4
2 2 2
0 1 1
2 0 2
2 1 0
0 2 2
0 1 2
2 0 0
1 2 0
1 0 2
2 1 2
10 2
1 1 2
3 4 0
2 1 3
4 3 4
3 3 3
0 0 0
4 4 4
4 3 3
3 3 2
0 3 4
10 6
1 0 2
1 2 2
0 1 2
0 2 0
2 2 2
1 0 0
2 0 1
1 1 1
0 0 1
2 2 0
10 9
0 0 2
1 0 0
1 1 0
2 0 0
0 0 1
2 2 1
0 1 2
1 0 1
2 1 2
2 2 2
10 2
3 2 3
3 3 1
2 3 3
2 2 1
3 2 1
3 1 2
2 0 1
0 3 0
0 2 2
3 2 2
10 9
3 0 1
4 4 0
2 4 4
4 0 0
3 0 3
4 1 0
2 3 4
2 1 0
0 0 4
2 4 1
10 3
2 2 3
0 0 1
4 3 0
0 4 3
1 4 2
3 0 1
2 4 3
0 0 4
3 2 3
4 3 1
10 3
3 0 2
3 1 1
1 0 0
2 2 1
2 2 3
0 0 1
0 0 2
1 0 3
3 0 3
3 1 3
10 2
0 0 3
1 2 3
5 5 0
5 1 3
4 0 0
5 1 5
0 1 3
0 4 1
0 2 5
2 4 1
10 5
2 2 1
0 5 4
0 5 5
3 0 0
1 5 1
1 2 2
3 5 1
4 0 3
3 1 0
5 4 4
10 9
0 0 2
2 1 1
0 1 0
2 1 2
0 1 1
2 2 2
0 1 2
1 1 2
2 0 1
2 2 1
10 8
1 2 3
2 0 3
0 3 3
1 0 3
0 3 1
3 1 3
0 1 3
3 0 0
2 0 0
2 2 3
10 8
2 2 3
3 0 1
0 2 2
0 1 2
0 2 3
1 2 2
1 3 1
3 3 1
2 3 1
3 0 0
10 7
2 4 3
1 1 3
4 3 2
2 2 4
2 2 3
1 1 1
2 1 0
4 0 0
4 1 2
1 3 4
10 9
1 1 0
0 3 0
2 3 3
2 2 3
0 1 2
2 3 1
1 3 1
2 1 1
3 1 1
3 1 2
10 4
0 2 1
1 0 0
4 3 0
4 0 1
0 1 0
1 4 0
2 4 3
1 1 2
4 2 4
2 2 3
10 9
0 0 0
3 2 0
3 2 4
4 1 4
2 1 2
3 3 4
2 0 2
1 0 1
0 1 0
4 2 0
10 3
0 0 0
2 0 0
1 1 2
2 0 2
2 2 0
0 1 0
0 0 2
0 1 1
1 1 0
1 0 1
10 2
1 0 0
1 2 0
1 0 1
2 0 1
1 2 1
2 2 1
2 1 0
0 1 1
2 2 2
0 2 1
10 8
2 4 0
3 3 4
3 3 1
4 4 4
0 3 2
2 1 0
3 2 2
2 2 3
2 0 0
1 3 4
10 8
0 2 0
1 0 1
0 1 1
1 1 0
2 1 2
0 0 1
0 2 1
2 0 1
2 1 1
1 2 2
10 2
3 0 2
3 0 0
3 3 3
3 0 3
0 3 2
2 2 0
2 2 1
3 3 2
0 2 0
3 1 1
10 6
4 4 1
4 2 3
1 1 2
0 4 4
1 1 0
2 1 3
0 3 0
1 0 0
3 0 0
3 0 4
10 2
1 3 2
1 3 1
0 0 1
0 2 1
0 1 1
3 0 1
3 0 0
0 1 0
3 2 1
2 3 0
10 7
0 1 0
2 2 2
0 0 2
1 2 0
1 1 2
2 1 1
2 0 0
0 0 1
1 0 2
2 2 0
10 3
1 1 1
0 1 1
1 3 3
0 2 3
0 4 3
2 0 3
1 4 4
3 1 4
0 1 4
2 3 3
10 7
1 1 0
0 1 0
1 2 1
1 2 0
0 2 1
1 1 1
1 1 2
1 0 1
2 0 1
2 1 2
10 8
1 2 1
0 1 0
2 3 1
2 0 3
2 2 1
1 0 1
3 3 0
3 0 3
1 3 0
1 0 2
10 9
0 3 2
1 0 0
2 2 2
0 0 3
0 0 2
1 2 1
0 3 1
1 1 1
2 1 2
3 0 0
10 4
2 0 2
2 1 2
0 1 2
2 0 0
1 0 0
0 0 1
1 0 2
1 1 2
0 1 0
2 2 1
10 8
3 5 4
5 2 3
3 2 5
1 5 2
0 1 1
3 4 1
5 1 2
4 0 3
5 1 4
5 0 0
10 6
1 2 1
1 2 0
0 1 1
2 2 0
0 2 0
0 1 2
0 0 0
2 2 1
0 2 2
2 0 1
10 8
0 2 2
2 2 0
1 1 1
2 0 0
2 0 1
0 2 1
1 1 0
1 1 2
0 0 0
2 1 0
10 4
2 1 0
1 1 1
2 2 1
1 2 2
1 0 0
1 2 0
1 1 2
0 0 0
2 0 1
0 0 2
10 2
3 0 2
2 1 1
1 0 0
3 3 2
1 2 0
0 0 0
2 2 0
3 1 0
3 0 0
1 0 2
10 9
0 3 0
2 3 1
2 3 3
2 1 0
1 3 2
0 1 0
1 2 0
1 2 1
0 3 1
3 2 2
10 4
0 2 3
1 2 0
1 1 1
2 3 1
2 1 0
0 2 2
3 0 3
2 0 1
1 3 0
2 2 2
10 4
2 2 0
4 4 4
2 0 3
3 4 0
1 2 0
1 4 4
4 0 4
2 2 2
2 1 2
3 1 3
10 2
1 1 3
2 2 1
2 1 1
1 1 2
3 0 0
3 1 3
3 3 1
1 2 2
2 2 0
1 0 2
10 2
2 3 1
0 3 2
0 0 1
2 1 0
1 0 3
3 3 3
0 0 0
2 0 3
0 1 3
1 1 0
10 3
5 5 4
5 2 2
0 3 5
4 2 0
0 0 0
1 5 2
0 0 3
5 3 2
5 2 5
0 3 4
10 8
5 4 0
1 3 3
4 5 5
2 2 3
0 0 1
1 0 0
2 5 5
3 4 0
2 0 3
5 1 1
10 8
0 1 2
0 2 0
0 2 1
1 1 1
1 2 0
2 2 0
2 1 1
1 1 0
2 2 1
2 1 2
10 8
5 4 5
4 4 2
1 2 0
3 5 2
4 3 5
5 1 3
4 2 4
0 1 1
1 1 0
2 5 0
10 2
0 2 4
2 2 3
3 5 5
3 4 5
2 3 2
2 4 5
5 3 5
0 3 0
5 1 4
5 0 2
10 5
0 2 1
1 2 0
1 0 0
2 0 0
2 2 1
0 2 2
2 1 0
1 2 2
0 0 2
1 1 1
10 4
4 2 1
1 3 4
1 1 0
1 4 1
0 2 4
2 0 4
0 0 0
1 4 4
2 1 1
4 0 1
10 9
2 1 1
0 0 0
2 0 1
0 0 2
0 1 0
0 3 2
1 3 0
1 3 2
3 3 0
2 0 2
10 5
0 0 0
1 2 1
5 4 1
0 0 2
2 5 1
5 3 5
1 4 0
1 1 1
5 3 2
1 1 3
10 9
3 0 5
1 3 3
4 2 2
5 1 1
1 1 4
5 2 3
3 2 5
0 3 1
5 1 4
2 0 0
10 9
2 2 1
1 3 2
2 1 1
3 2 2
0 1 3
4 2 3
4 2 1
1 3 1
0 3 2
4 3 4
10 3
2 1 0
0 0 1
1 2 1
2 0 0
0 2 0
2 0 2
1 2 2
2 2 2
1 1 1
1 1 0
10 3
3 3 5
0 5 4
5 0 3
0 3 0
3 2 4
0 5 5
4 2 4
5 1 1
3 2 2
2 0 0
10 8
3 1 1
3 2 2
2 2 1
1 0 3
3 4 1
0 0 4
0 2 2
0 2 3
3 4 4
2 4 4
10 6
2 0 2
0 0 1
3 1 0
0 2 3
3 2 1
1 4 2
4 3 1
4 0 4
3 4 2
3 0 3
10 5
1 1 1
2 0 0
0 2 2
0 1 2
0 1 0
1 0 1
2 1 2
1 2 1
0 0 1
0 0 2
10 7
5 5 1
3 0 0
0 1 1
4 2 2
4 5 3
5 2 1
4 1 0
2 5 0
2 4 2
5 4 0
10 5
2 4 1
0 0 1
1 1 2
1 4 2
2 3 1
0 1 2
2 4 3
2 2 2
0 4 1
0 4 0
10 3
1 2 0
3 2 0
2 0 1
3 1 3
2 0 3
2 1 1
0 1 2
0 1 0
3 3 1
2 1 0
10 2
0 0 2
0 0 1
0 0 0
1 1 1
1 1 2
0 2 0
0 2 2
2 0 2
0 1 0
2 2 1
10 8
4 2 4
1 0 0
2 3 1
0 2 3
0 0 0
1 0 2
4 1 0
3 3 3
4 0 0
0 3 1
10 7
2 0 2
2 1 1
2 2 2
1 0 1
2 2 1
0 1 2
1 2 0
0 2 0
0 2 1
0 0 1
10 9
2 2 3
0 3 0
1 2 2
1 1 3
3 0 1
3 3 3
1 2 3
3 1 2
2 2 1
0 1 3
10 9
2 1 0
2 2 0
2 2 2
1 2 1
0 0 1
0 2 0
1 1 0
2 0 0
1 1 2
1 0 1
10 5
0 1 2
1 1 2
2 1 0
2 0 1
1 2 2
2 2 0
1 0 0
0 0 2
2 0 2
2 0 0
10 6
1 1 3
1 0 3
2 2 0
2 3 1
0 0 0
2 3 3
1 2 1
3 0 2
3 2 1
1 3 2
10 9
2 3 1
1 0 1
2 0 0
3 2 0
2 0 2
1 1 1
1 2 3
2 2 3
3 3 0
3 0 3
10 8
2 2 0
0 2 3
2 0 3
0 1 0
0 1 2
0 3 3
0 0 1
3 0 3
2 0 2
1 0 3
10 5
2 3 3
4 3 3
3 4 1
0 4 0
5 1 5
0 2 0
1 1 2
1 2 1
1 2 2
1 5 3
10 8
3 2 4
0 3 2
2 0 4
0 0 1
2 4 4
3 1 1
4 0 1
4 2 2
2 4 2
1 0 4
10 8
0 1 1
1 0 1
1 1 1
0 2 2
1 2 0
2 0 2
1 2 1
1 0 2
1 2 2
0 1 2
10 5
2 3 4
1 2 0
3 4 4
4 4 1
0 4 1
2 3 2
0 0 3
1 1 1
2 2 4
0 1 1
10 8
2 4 1
0 3 1
1 2 4
4 2 1
0 0 1
1 4 3
0 4 1
4 3 4
0 3 2
2 2 3
10 2
1 0 2
0 2 1
1 2 1
1 1 1
2 2 2
0 1 0
1 1 2
2 0 2
0 0 1
2 0 0
10 6
0 2 1
3 2 1
0 0 1
0 3 2
2 2 0
3 3 2
1 3 0
1 3 1
3 3 3
2 2 3
10 7
4 1 1
0 1 2
3 1 0
1 1 4
2 2 4
0 2 3
4 3 2
1 3 2
1 4 3
3 1 1
10 2
1 1 0
3 0 3
1 0 3
4 4 1
0 2 3
4 4 3
0 4 4
4 2 0
1 4 0
3 0 1
10 5
1 1 2
1 2 3
3 2 3
1 0 1
3 3 3
0 2 0
3 3 2
1 3 3
3 2 0
1 1 0
10 9
1 2 2
1 2 1
0 0 0
2 2 0
0 2 0
2 1 0
2 1 2
0 1 1
0 2 1
0 0 2
10 6
4 2 4
0 2 0
1 0 2
3 3 3
0 2 2
0 1 4
2 3 4
2 0 3
3 4 2
2 4 0
10 3
1 2 2
2 1 1
2 2 1
1 0 0
1 1 2
1 2 0
2 0 1
1 0 2
2 1 2
2 1 0
10 9
1 3 2
3 3 0
1 3 3
0 0 0
2 3 0
3 2 3
2 2 3
0 0 3
3 0 1
2 0 3
10 2
2 2 2
2 0 1
0 0 1
1 2 1
1 2 2
0 0 2
2 1 1
1 1 0
0 1 2
1 0 2
10 4
1 0 2
3 0 2
1 3 0
1 2 3
1 3 1
0 1 1
2 1 3
1 3 2
3 3 0
1 2 0
10 3
3 5 5
4 2 3
4 5 1
0 3 1
3 4 3
2 3 3
4 4 1
4 2 2
1 3 2
3 0 4
10 9
2 3 4
3 4 1
4 0 4
3 3 4
2 4 2
4 3 3
3 4 4
4 1 0
3 2 4
1 2 3
10 9
2 4 3
3 4 3
3 3 1
4 3 1
0 4 4
1 1 2
3 2 1
0 0 1
1 1 1
3 4 0
10 8
0 0 1
1 2 1
2 0 0
3 0 2
1 3 3
3 1 2
3 2 2
1 3 0
2 2 1
3 2 1
10 5
2 3 1
2 3 3
4 1 4
5 5 0
1 4 2
5 2 0
2 2 0
1 4 1
0 3 5
5 0 2
10 3
3 1 3
2 2 1
2 3 1
3 2 1
2 1 3
1 3 1
3 1 2
3 0 2
0 3 0
3 3 3
10 3
0 2 2
1 2 1
4 5 3
3 2 0
2 2 2
3 1 5
3 3 0
0 1 4
4 4 5
0 5 4
10 8
5 0 5
3 0 0
2 2 3
5 1 3
0 4 0
4 2 3
1 0 1
3 4 1
3 1 3
5 2 2
10 8
0 1 0
1 2 2
1 1 1
2 2 0
0 0 2
0 2 2
1 0 1
2 1 1
1 0 0
2 1 2
10 4
0 5 5
0 4 1
4 1 0
2 5 3
3 3 5
4 2 5
2 0 4
4 1 5
0 0 4
4 2 1
10 4
4 5 1
3 4 4
1 2 3
5 4 3
1 1 4
5 2 0
5 3 1
2 1 5
3 3 4
0 5 4
10 3
2 1 1
1 2 0
2 2 2
2 1 2
0 1 0
2 2 0
1 0 1
1 2 2
0 0 2
1 1 2
10 2
1 2 0
2 2 2
0 0 2
2 1 2
0 1 1
2 1 0
1 2 1
0 2 0
1 1 2
1 0 2
10 3
1 1 1
1 0 2
2 1 0
1 0 0
0 1 0
1 1 0
0 0 2
1 1 2
0 2 0
0 0 1
10 8
2 4 3
1 2 1
5 4 0
5 0 4
3 3 0
5 0 5
3 5 5
4 2 5
0 0 4
0 4 5
10 4
1 1 1
0 2 2
1 2 0
2 1 1
0 1 1
2 1 0
1 1 0
1 0 2
2 2 0
1 0 1
10 9
2 0 1
2 3 0
0 2 3
0 0 2
1 1 1
0 0 1
3 0 1
3 1 2
0 1 3
0 3 1
10 6
0 4 3
4 1 4
2 4 2
1 2 2
4 2 1
1 5 1
5 0 0
2 3 0
3 4 2
3 4 0
10 9
0 0 0
0 0 1
0 2 1
2 2 1
2 1 2
0 2 2
1 2 1
2 0 0
1 1 0
2 0 1
10 9
2 1 4
0 4 1
1 0 3
3 0 2
3 3 0
4 1 2
0 2 4
2 4 0
0 4 0
0 0 0
10 4
5 2 4
2 2 0
3 4 4
4 1 0
3 3 2
0 2 1
1 1 2
3 0 1
0 5 2
5 1 2
10 2
2 0 2
0 2 0
1 0 1
0 0 1
0 1 0
2 1 0
1 2 1
0 0 0
1 1 0
2 0 1
10 6
3 5 3
1 2 4
5 5 1
3 5 2
3 5 0
5 4 1
5 1 2
5 4 2
5 5 2
4 5 2
10 4
2 2 4
0 4 4
3 0 3
3 1 2
0 3 3
3 1 1
2 0 0
3 2 0
4 2 4
3 3 0
10 3
3 3 3
0 0 2
2 2 0
2 1 2
3 2 1
2 3 1
3 1 0
3 1 3
3 1 2
3 2 3
10 3
3 0 1
1 2 1
1 0 2
0 2 2
0 3 1
2 1 0
2 0 3
0 2 3
1 3 1
1 2 0
10 5
2 5 2
3 0 3
2 5 3
5 3 1
5 5 5
4 0 2
2 4 4
4 0 3
2 1 1
2 5 0
10 9
1 0 1
3 2 1
2 2 2
1 1 1
3 3 2
1 2 0
0 0 0
3 0 1
0 2 0
3 0 2
10 2
2 1 2
0 0 1
0 1 2
0 1 0
0 0 2
1 1 1
0 1 1
1 2 1
1 2 2
1 1 0
10 4
4 2 2
1 1 0
3 3 4
3 0 2
4 0 0
1 3 2
1 3 0
2 1 2
2 4 0
2 0 0
10 9
5 3 2
3 0 1
2 5 4
4 1 5
4 5 1
0 2 4
3 2 3
0 4 5
0 1 1
5 5 4
10 7
3 3 1
1 1 2
3 1 1
1 0 1
1 0 2
0 2 0
0 2 1
0 1 0
3 2 1
2 0 0
10 7
3 2 4
0 0 1
0 4 4
3 3 0
2 2 1
1 0 0
0 0 0
2 2 2
0 3 1
4 4 3
10 4
0 3 4
4 2 4
3 1 1
2 2 3
0 4 3
0 0 0
2 1 2
0 2 1
4 0 0
2 1 1
10 2
3 0 4
1 4 2
1 3 4
3 4 4
4 1 3
4 0 4
1 1 2
3 3 3
2 4 2
2 1 3
10 8
0 2 1
2 2 1
1 2 0
1 1 1
2 1 0
2 0 1
1 2 1
0 2 0
1 0 1
1 0 2
10 7
1 1 4
0 2 0
2 2 4
1 4 2
1 4 4
2 3 2
3 2 4
1 3 1
0 4 0
3 0 3
10 2
1 0 0
1 2 1
1 1 1
1 2 2
1 1 0
2 0 0
2 0 1
0 2 1
2 1 0
0 1 0
10 7
1 1 0
4 1 4
4 3 0
2 3 1
4 0 0
0 0 2
3 0 5
1 2 0
1 3 1
0 4 2
10 2
1 2 2
2 1 2
1 0 1
1 2 1
2 0 0
2 2 0
2 1 1
1 2 0
0 2 2
1 0 2
10 5
0 1 1
2 0 2
0 0 2
0 2 1
1 0 1
1 1 2
0 1 0
1 0 0
2 2 2
2 1 0
10 7
5 5 5
1 0 4
3 1 4
3 0 4
4 2 4
0 2 2
0 1 2
3 1 1
2 2 1
0 3 4
10 9
3 4 3
4 0 0
4 2 0
2 3 0
0 1 0
2 4 0
2 2 2
0 3 2
4 1 1
0 0 4
10 4
4 2 3
1 1 0
0 3 3
0 2 1
0 3 1
4 0 0
0 2 2
4 1 0
1 4 4
4 0 2
10 2
3 0 4
1 1 0
3 2 0
0 1 2
1 1 3
2 3 1
4 4 2
0 4 0
4 0 0
1 4 3
10 6
4 0 1
1 4 4
0 1 1
2 5 5
4 0 5
2 1 3
0 4 1
0 3 1
4 2 4
2 5 4
10 9
3 3 1
3 0 3
2 3 2
3 1 2
2 0 1
2 4 0
2 2 1
3 2 4
0 4 0
0 3 0
10 4
2 1 1
0 1 2
3 0 1
3 3 3
0 3 2
2 0 2
0 3 1
0 2 1
1 0 1
2 3 0
10 2
2 3 0
4 3 1
0 5 1
3 3 3
2 5 5
4 2 4
1 2 3
5 2 2
4 3 5
4 2 2
10 7
1 2 2
2 1 0
0 0 0
1 1 1
0 2 1
0 1 1
1 0 0
2 2 1
0 0 2
0 1 2
10 7
1 1 1
1 2 0
1 1 2
0 0 0
2 2 0
0 2 1
1 0 1
0 2 2
0 1 1
0 0 1
10 7
2 3 0
3 2 2
0 3 0
0 2 3
1 0 0
1 1 0
1 2 2
1 0 1
0 3 1
0 3 3
10 2
1 1 1
1 2 2
1 2 1
1 2 0
0 2 1
1 0 2
0 1 2
0 0 0
2 1 1
0 1 0
10 8
3 0 1
1 3 0
0 2 1
2 3 4
2 2 1
1 4 3
2 4 3
0 4 1
1 4 1
2 4 1
10 4
1 4 2
3 2 1
2 1 4
3 3 1
3 2 2
0 0 2
2 4 2
4 3 0
1 4 1
3 0 0
10 6
2 2 3
2 1 0
2 0 0
3 0 3
3 2 1
1 2 2
2 1 2
2 2 2
1 1 1
0 3 0
10 7
2 2 0
2 0 2
0 2 0
2 2 2
1 0 0
2 0 1
2 0 0
1 0 1
1 2 0
2 2 1
10 6
1 1 3
5 2 5
5 4 5
3 0 3
5 0 2
0 3 0
4 5 5
5 1 2
3 4 2
2 0 3
10 8
0 0 4
3 3 2
2 1 3
2 2 1
3 4 4
1 1 2
2 0 1
0 3 0
2 3 3
4 1 2
10 2
2 3 2
0 2 1
3 2 1
1 2 3
0 2 2
2 2 0
0 3 2
3 3 3
3 3 0
1 3 3
10 5
1 0 0
2 3 2
0 3 0
0 2 0
2 0 1
1 3 3
1 2 2
1 3 1
1 0 1
0 2 1
10 3
0 0 1
0 1 0
2 1 0
0 1 1
1 2 2
1 1 2
2 0 1
2 2 0
0 2 2
2 1 1
10 5
0 1 1
1 2 0
1 1 2
2 0 2
2 1 1
0 2 2
1 1 1
1 0 0
1 2 1
2 2 0
10 4
0 1 3
0 2 1
1 3 2
1 3 1
0 1 1
2 0 3
0 3 1
3 3 3
2 3 2
2 3 3
10 9
2 2 1
2 1 1
2 1 2
0 2 2
0 1 2
0 2 1
2 2 2
0 0 1
1 0 2
2 0 2
10 2
2 1 0
0 2 2
2 0 0
1 2 2
2 0 2
2 2 1
1 2 1
2 2 2
0 1 2
1 1 2
10 6
1 1 5
5 3 1
2 5 5
5 3 2
1 5 2
0 5 1
5 4 0
0 1 4
2 2 1
0 1 0
10 3
2 1 2
1 0 3
2 0 2
2 3 0
2 0 0
3 0 0
0 2 2
1 1 1
1 2 0
1 2 2
10 8
1 1 0
1 2 0
2 2 1
1 0 2
0 1 1
0 0 0
0 2 1
1 1 1
1 2 1
0 2 0
10 2
0 1 1
4 3 4
0 4 1
4 0 4
4 2 4
3 2 0
3 0 3
0 4 2
1 2 4
3 2 4
10 9
2 4 1
1 3 0
1 0 3
4 0 4
3 1 3
4 4 0
3 0 3
2 1 2
4 3 1
2 2 4
10 2
1 1 1
2 2 0
0 1 0
0 0 2
1 0 1
2 0 0
1 2 2
2 1 0
1 0 2
0 2 0
10 6
0 3 3
4 1 1
4 1 0
4 1 2
2 4 0
0 2 3
2 2 2
4 3 0
1 2 1
1 3 2
10 7
0 4 5
0 2 3
4 1 2
5 4 2
1 2 1
5 1 4
4 1 4
0 5 2
4 4 0
3 3 1
10 3
1 5 5
0 0 2
1 4 0
2 4 0
0 2 5
1 1 2
3 2 3
3 3 1
4 4 1
2 5 4
10 9
2 1 1
0 2 2
1 2 2
1 0 1
1 0 0
2 1 2
2 0 2
0 0 2
2 0 1
1 2 0
10 3
0 1 2
1 2 0
0 2 2
2 1 1
1 1 0
1 0 0
1 2 2
2 0 0
0 1 0
1 0 2
10 7
1 2 5
1 3 0
4 3 1
4 3 0
2 5 3
1 1 4
5 4 3
4 3 5
1 2 0
1 0 3
10 8
2 2 2
0 2 0
1 1 0
0 2 1
2 0 2
1 2 0
0 0 0
1 0 2
1 1 1
2 2 0
10 7
0 2 2
3 3 3
0 1 2
0 0 1
3 1 0
0 0 2
1 1 0
2 3 1
2 0 0
2 2 2
10 5
3 2 0
0 2 2
2 0 3
2 2 2
3 2 1
0 3 3
1 0 3
2 2 0
0 0 3
0 0 0
10 3
0 0 2
1 0 0
0 1 0
1 2 0
2 1 0
0 0 1
2 0 1
1 1 1
2 1 2
2 2 1
10 4
2 0 0
1 3 0
1 1 3
3 3 0
2 0 1
0 0 3
3 1 0
3 0 1
3 2 2
1 2 1
10 8
5 4 4
3 1 2
5 4 1
0 1 5
4 1 5
2 2 4
5 0 4
0 5 5
4 3 1
4 5 3
10 8
2 1 0
0 1 0
0 2 1
1 2 1
0 2 2
1 0 1
2 2 2
2 1 2
0 1 2
1 1 2
10 5
4 1 2
1 4 0
4 4 3
0 4 0
2 0 0
4 2 1
3 4 1
1 3 0
1 0 3
3 0 0
10 2
0 0 3
3 2 1
3 1 2
2 2 0
3 2 3
1 0 0
3 0 1
3 1 1
1 1 0
0 3 1
10 6
3 4 3
1 3 5
2 5 0
3 4 5
5 3 4
1 2 2
1 2 1
5 5 1
1 5 0
1 3 4
10 2
0 1 0
2 3 2
5 2 5
0 5 5
0 3 3
3 0 1
0 0 2
5 4 3
1 3 3
0 3 1
10 5
5 1 2
1 5 4
0 4 5
3 4 1
4 5 5
4 4 4
3 5 0
3 1 3
1 2 1
4 2 1
10 4
0 2 0
1 2 2
2 2 2
2 4 4
0 1 4
4 0 0
1 4 4
4 0 4
0 1 2
4 1 0
10 6
4 2 2
4 0 3
2 2 4
1 3 2
2 0 0
0 2 4
1 1 4
4 3 2
3 4 4
0 4 2
10 3
0 3 2
2 0 2
0 0 2
0 3 0
0 2 0
1 3 1
2 3 0
2 3 2
2 3 1
1 2 2
10 8
0 0 1
2 1 0
0 2 1
1 1 2
0 0 0
0 1 2
0 0 2
2 0 1
0 2 2
0 1 1
10 9
3 2 4
4 5 5
5 3 4
0 3 0
0 1 2
1 2 2
2 5 5
5 3 1
0 0 3
4 3 4
10 8
0 3 1
2 1 3
2 0 1
3 0 3
3 0 2
2 2 1
2 3 1
3 2 0
3 2 1
3 3 3
10 4
3 1 0
1 3 1
0 0 2
0 3 2
0 1 3
3 2 1
3 3 3
0 2 3
3 2 2
2 2 1
10 7
2 1 4
1 4 1
2 5 1
3 4 4
0 3 1
0 2 3
2 4 4
4 0 5
4 3 4
5 1 4
10 2
0 2 1
2 2 1
0 1 1
1 1 0
0 0 2
0 1 2
1 1 2
1 0 1
2 1 2
1 0 0
10 5
2 0 2
2 0 1
1 3 3
2 1 2
1 1 0
2 2 0
1 3 1
2 1 3
1 3 2
0 2 0
10 6
0 2 1
1 3 2
2 1 0
0 1 2
1 0 1
1 0 0
3 1 1
2 0 1
2 0 0
1 2 3
10 6
3 2 1
3 0 0
1 3 1
0 1 2
3 3 1
0 2 0
3 3 3
0 2 3
0 1 0
3 1 0
10 8
1 4 1
0 3 2
0 4 0
0 0 1
4 4 0
3 4 2
4 1 0
2 3 2
4 2 3
3 0 3
10 4
4 3 1
1 4 1
1 4 3
0 1 3
2 1 4
3 2 2
3 4 0
1 1 0
0 0 4
3 1 2
10 4
0 2 1
0 2 0
1 1 1
1 2 0
2 1 1
2 0 2
0 1 2
1 1 2
0 0 2
1 0 1
10 7
2 3 4
5 3 3
0 5 5
0 2 4
2 0 4
4 1 2
3 5 5
5 2 3
1 3 1
5 4 5
10 4
1 0 3
1 1 0
3 4 3
4 1 4
3 1 0
3 1 1
2 1 2
1 2 2
0 2 2
3 1 3
10 8
2 0 3
1 0 0
0 0 1
1 3 2
2 2 0
2 0 2
1 2 1
2 2 1
3 0 0
1 1 0
10 8
2 0 5
1 3 5
4 4 1
5 5 4
3 2 2
1 2 0
3 1 0
0 4 0
2 3 3
3 3 4
10 7
2 0 2
1 2 1
0 0 2
1 0 1
0 1 0
2 2 2
1 1 2
1 2 2
1 0 2
2 2 0
10 7
2 0 2
1 0 2
1 1 2
0 1 2
0 2 1
2 1 1
2 1 2
2 2 1
2 2 2
1 1 1
10 2
0 3 1
0 2 1
0 3 0
4 2 2
1 0 0
1 3 2
4 0 0
4 4 4
1 1 0
1 3 1
10 6
0 4 4
0 1 4
4 4 2
3 0 2
4 1 1
2 1 4
3 2 0
4 1 3
0 1 2
0 0 2
10 5
2 3 1
0 1 0
3 3 1
2 3 3
2 1 0
3 2 1
3 1 3
1 0 1
0 3 2
3 3 3
10 7
2 2 0
3 3 2
3 2 4
0 2 1
2 3 0
4 4 0
2 0 2
0 1 4
0 3 0
1 1 2
10 3
3 2 0
3 0 3
2 1 2
0 1 1
1 2 0
0 2 0
2 1 3
3 1 3
1 1 0
2 2 0
10 7
2 1 1
2 0 1
1 1 2
2 0 0
2 2 0
1 2 1
2 1 0
0 2 1
0 2 2
0 1 2
10 6
2 4 0
3 1 3
4 2 3
2 3 1
2 3 4
0 3 3
1 1 0
2 0 2
1 4 3
0 0 2
10 7
1 3 2
1 1 0
1 2 3
3 0 1
1 2 0
2 2 3
1 1 1
3 3 1
0 3 0
0 3 2
10 5
0 2 0
1 2 0
1 2 2
1 2 1
1 0 0
0 0 0
0 2 2
2 0 2
0 0 2
1 0 2
10 8
1 4 0
0 1 2
4 0 4
0 3 3
1 0 4
1 4 2
4 2 0
4 0 2
2 1 3
0 0 3
10 6
2 4 0
0 3 2
1 3 1
2 3 0
2 1 0
3 0 1
4 0 4
4 1 0
4 1 4
3 1 4
10 9
2 2 1
2 0 1
0 0 2
3 3 0
1 1 2
0 2 3
3 0 0
1 2 3
2 3 2
2 3 3
10 5
3 0 3
0 0 3
0 3 3
2 3 3
2 2 0
2 0 1
2 1 0
2 1 3
2 0 0
0 0 2
10 7
0 2 2
2 0 0
2 0 1
2 1 1
0 0 2
1 1 1
1 0 2
2 1 2
0 0 1
2 1 0
10 2
1 0 5
1 1 4
2 2 0
0 1 1
4 4 1
5 1 4
3 0 1
1 3 0
2 2 1
3 1 0
10 9
0 1 3
2 3 3
1 1 3
1 3 3
1 0 2
4 0 0
0 0 0
2 1 2
4 0 2
3 0 3
10 9
0 1 1
2 0 0
1 0 1
1 2 1
1 0 2
2 1 0
0 2 2
1 0 0
2 2 1
1 2 2
10 4
0 1 2
2 3 1
1 1 3
4 1 4
2 0 2
4 0 3
1 3 0
4 4 0
3 2 3
3 4 2
10 8
1 3 1
0 0 3
0 0 2
3 1 3
1 0 1
0 1 3
2 0 1
1 1 1
2 2 3
1 0 0
10 3
0 1 0
2 2 1
2 3 2
1 3 1
3 0 1
1 1 0
2 2 0
3 0 2
2 3 1
0 3 2
10 6
4 3 1
4 2 4
0 5 5
0 2 0
2 4 5
1 1 1
5 4 2
2 5 5
2 2 0
1 5 1
10 4
0 3 2
2 2 0
1 4 1
0 2 1
3 0 3
4 1 2
2 3 0
3 4 3
1 3 0
1 0 0
10 2
4 1 0
1 2 0
4 3 1
1 4 0
0 1 4
0 1 3
2 4 3
4 1 4
3 2 0
0 4 4
10 3
2 3 2
1 1 2
1 1 3
2 3 3
3 2 1
3 0 1
3 1 0
0 3 0
0 2 2
3 1 1
10 3
0 2 1
1 2 1
2 0 1
0 1 0
2 0 2
0 0 0
2 1 2
1 2 2
0 2 0
2 2 0
10 8
3 3 2
2 1 2
1 3 2
3 0 1
2 2 2
1 2 0
0 3 3
3 0 3
2 3 0
3 1 2
10 4
3 3 3
2 2 1
1 2 2
3 3 2
0 2 1
2 0 3
0 3 3
0 1 2
0 1 0
3 3 1
10 5
1 0 1
1 0 0
2 2 1
0 0 2
2 0 2
1 1 1
1 0 2
1 2 1
2 2 0
0 1 0
10 8
0 0 1
4 4 0
2 0 0
4 1 1
3 4 2
0 1 0
0 1 4
4 3 4
3 3 1
0 4 3
10 9
3 0 0
4 2 2
1 0 2
1 1 4
1 3 2
2 4 0
2 2 0
3 0 3
0 2 1
0 2 4
10 9
3 3 1
3 2 2
2 1 2
1 1 1
0 1 0
0 3 0
2 3 2
3 1 0
0 1 2
1 3 3
10 2
4 2 0
3 3 2
0 3 2
4 4 0
4 5 2
4 1 3
3 3 1
2 4 0
0 5 0
3 5 2
10 8
1 2 0
0 1 2
0 0 1
0 0 0
0 2 1
0 0 2
0 2 2
2 0 2
2 2 2
1 2 1
10 5
3 1 2
1 0 3
2 3 0
3 3 1
3 2 4
1 4 3
2 1 3
4 2 2
0 0 0
1 3 4
10 3
2 2 1
2 2 0
0 0 1
2 0 0
0 1 2
0 0 2
1 2 0
1 1 2
0 1 1
0 0 0
10 5
3 4 0
4 4 1
3 4 2
2 2 3
1 2 3
1 3 1
0 2 1
0 3 4
3 3 0
3 1 3
10 6
2 1 0
1 2 1
2 2 2
2 0 0
2 1 1
1 2 2
0 0 2
2 2 1
0 2 2
0 2 1
10 2
1 5 0
3 5 0
4 0 0
0 1 1
3 2 3
0 4 2
3 3 5
4 0 5
4 2 1
4 4 2
10 5
2 0 1
3 1 0
2 0 4
2 4 1
1 4 0
4 3 0
3 0 4
4 4 4
4 3 1
3 2 0
10 6
1 2 3
0 4 3
2 0 3
4 2 4
3 4 3
0 1 3
3 3 2
1 3 4
4 0 1
1 4 0
10 6
0 3 2
3 1 5
1 3 4
3 2 4
4 1 3
4 3 2
4 4 1
4 5 3
5 0 0
0 2 4
10 8
1 1 4
0 0 1
4 3 4
0 0 3
2 4 0
1 1 3
0 0 2
1 3 2
3 4 1
4 2 3
10 2
0 0 2
1 1 1
0 1 2
2 3 3
2 1 2
3 1 0
3 2 2
3 1 2
3 3 2
0 2 3
10 4
4 2 0
0 1 3
4 3 2
0 2 2
0 2 3
2 4 1
0 2 1
4 0 1
0 1 4
1 0 3
10 7
0 2 2
2 0 0
1 1 1
2 0 1
1 2 1
1 1 2
2 1 0
2 1 1
0 2 1
0 0 1
10 6
3 0 0
0 3 3
3 1 1
2 2 1
0 1 0
2 2 0
2 1 0
2 1 3
2 0 2
0 2 1
10 6
1 2 1
1 1 2
1 1 1
2 2 2
0 1 2
2 0 0
2 1 0
0 2 1
0 2 0
0 1 1
10 4
1 3 2
2 1 1
3 1 0
1 0 0
0 1 3
1 2 3
3 1 1
3 2 0
1 1 0
3 0 2
10 8
1 2 1
2 2 1
1 2 0
1 1 1
0 1 0
2 1 0
0 2 0
1 1 0
1 0 1
1 0 0
10 3
2 4 3
2 1 3
1 4 1
4 2 3
1 2 0
4 4 2
4 4 1
1 3 4
2 3 3
1 2 1
10 7
2 1 0
2 0 1
2 2 1
2 0 2
0 0 0
0 0 1
2 2 0
0 1 0
2 0 0
0 1 2
10 9
5 2 3
4 5 5
3 1 2
5 0 5
1 3 1
5 3 3
2 2 2
1 3 2
0 2 0
5 5 2
10 2
0 2 1
0 3 3
0 2 3
3 3 0
0 3 1
0 0 1
1 2 1
1 3 2
0 0 2
1 3 0
10 7
2 3 2
3 4 0
4 4 1
3 4 1
1 1 4
1 4 4
1 1 0
4 4 4
0 0 0
4 3 3
10 4
1 2 0
0 1 1
2 1 2
2 2 1
2 1 0
2 2 2
1 0 0
2 2 0
1 0 2
0 2 0
10 9
1 1 2
0 0 2
0 2 1
1 0 2
1 0 0
0 2 0
0 1 2
0 1 1
1 1 0
0 2 2
10 6
0 1 0
1 2 2
2 0 0
2 2 2
2 2 0
0 0 0
1 2 1
1 1 2
0 1 2
1 0 2
10 9
4 1 2
4 3 2
1 1 2
4 0 1
4 4 1
2 4 3
0 2 4
2 4 2
1 3 1
4 2 0
10 2
1 0 1
1 1 1
2 1 3
1 3 0
0 3 3
3 2 1
3 0 2
4 1 2
0 2 2
0 4 4
10 4
1 2 1
1 0 1
2 1 1
0 1 0
2 1 0
0 2 2
2 2 2
1 1 2
2 0 1
0 0 0
10 6
1 1 1
0 1 2
1 2 0
1 0 2
0 2 0
1 0 1
1 2 2
2 1 1
1 2 1
2 0 0
10 2
4 2 1
3 4 2
1 1 1
2 1 3
3 3 0
0 2 0
4 3 2
4 0 1
2 3 1
0 2 4
10 9
4 0 1
1 1 2
4 5 3
0 2 4
3 4 2
2 1 2
5 0 2
3 0 0
3 3 4
4 3 5
10 3
0 3 3
3 3 1
2 1 1
1 0 1
2 1 2
2 0 1
2 2 3
2 2 2
0 3 1
0 1 0
10 4
2 2 0
4 2 2
1 0 4
1 2 4
2 1 0
1 1 3
2 2 3
2 1 4
1 0 0
2 0 2
10 9
1 3 0
4 0 2
2 0 0
3 3 4
4 2 1
4 1 4
0 3 1
1 4 1
1 1 4
1 2 1
10 2
2 3 1
2 2 0
3 0 3
3 1 1
0 3 3
2 1 3
2 3 3
1 3 3
2 1 0
1 0 1
10 4
2 4 4
4 0 3
4 4 2
1 3 0
0 4 1
0 1 3
1 2 4
2 2 0
3 3 4
3 4 2
10 7
3 1 0
0 0 0
1 3 2
0 3 1
2 3 0
2 2 2
2 3 1
1 1 0
2 2 0
0 1 2
10 9
2 0 0
2 2 1
0 0 2
1 0 1
0 2 0
0 2 2
1 0 2
2 0 1
1 1 2
1 2 2
10 5
3 1 4
2 3 3
1 1 2
3 0 2
2 2 0
0 0 2
5 0 4
1 5 5
5 4 0
3 2 4
10 9
1 0 1
0 2 1
2 2 2
1 2 2
2 0 1
2 1 0
2 0 0
1 1 0
2 1 2
2 0 2
10 8
2 1 0
1 2 2
0 1 2
2 2 2
1 0 1
2 0 0
0 0 2
1 0 0
1 0 2
0 2 1
10 8
4 4 2
0 1 4
2 3 4
4 0 1
1 0 2
2 2 3
4 2 0
2 2 0
4 3 3
1 1 0
10 4
2 2 4
0 0 1
3 0 4
0 1 2
0 4 0
2 4 2
2 2 1
2 1 1
4 4 0
4 1 4
10 8
0 1 0
2 1 0
2 0 1
0 1 1
2 2 0
2 2 2
0 2 1
1 1 0
1 0 2
1 1 2
10 7
4 0 2
4 2 3
0 2 3
2 0 3
2 0 1
3 2 4
1 1 3
1 0 0
2 4 3
1 2 2
10 7
4 2 0
4 0 1
1 3 0
2 4 3
3 0 1
0 3 2
4 3 3
2 2 2
4 1 1
0 0 3
10 2
0 2 1
2 0 0
0 1 1
1 0 1
1 0 2
0 0 1
1 1 1
0 0 2
1 1 2
2 2 0
10 7
0 2 1
2 2 0
0 1 0
0 0 1
1 2 0
2 0 1
1 2 2
2 2 1
0 0 0
0 0 2
10 3
4 1 0
1 1 1
0 0 3
0 5 0
0 3 2
2 2 2
4 4 4
0 4 3
4 4 1
1 4 1
10 2
1 0 0
2 0 0
2 2 0
2 1 1
1 2 1
2 0 2
0 2 2
0 2 0
2 2 2
1 2 2
10 8
0 0 5
1 0 5
1 4 5
3 4 4
3 1 1
4 3 5
1 1 2
3 1 0
2 2 1
4 4 1
10 5
2 2 0
1 2 0
0 2 2
2 1 1
2 1 2
2 0 1
2 2 2
1 1 1
2 0 0
1 0 0
10 2
0 3 2
3 1 3
3 0 3
3 0 0
2 3 0
3 3 2
0 2 0
0 2 3
3 2 3
2 3 1
10 6
3 4 4
3 4 3
2 1 2
3 2 3
4 3 2
1 2 0
1 3 2
3 1 0
1 1 1
1 0 4
10 3
2 1 0
0 0 2
1 0 2
0 2 1
1 1 1
2 0 0
2 0 1
1 2 0
2 1 2
1 1 2
10 5
1 1 0
2 1 0
0 1 3
3 1 3
3 0 2
0 0 0
0 1 1
3 2 1
0 3 0
0 1 2
10 5
1 2 2
0 2 2
0 0 1
2 1 1
0 1 0
1 1 1
0 2 1
1 0 2
2 0 2
2 0 0
10 6
2 1 1
3 0 2
1 1 1
3 2 2
0 2 0
1 1 2
1 1 3
2 2 0
2 3 0
3 2 1
10 9
1 1 1
2 1 0
1 0 0
2 0 0
0 0 0
2 0 2
1 2 0
2 2 1
1 1 2
0 1 0
10 8
1 0 3
1 3 3
2 0 1
1 0 1
3 3 0
3 2 3
2 1 3
3 2 1
3 0 1
1 0 0
10 7
1 3 3
3 2 1
2 2 2
2 0 2
2 2 3
3 0 1
3 1 1
3 1 2
0 2 1
0 1 2
10 2
2 3 0
3 2 3
4 4 2
2 4 2
0 4 2
0 0 2
2 1 0
0 3 4
0 0 4
4 1 1
10 2
4 3 2
1 2 2
3 2 2
3 3 3
2 1 3
4 3 4
1 1 2
3 2 1
1 1 0
0 2 4
10 2
1 1 0
2 3 1
4 2 4
4 1 1
3 3 0
1 3 3
5 1 1
2 1 5
1 5 2
1 2 4
10 3
5 0 1
0 1 5
0 4 0
3 3 4
3 2 0
5 2 1
3 4 0
2 2 1
4 1 1
3 5 0
10 8
1 3 1
3 3 3
3 3 1
3 1 2
1 2 2
0 1 1
3 2 0
2 0 2
1 0 2
1 2 3
10 6
1 0 1
2 1 2
0 1 2
1 0 2
1 2 2
2 0 1
0 1 0
0 0 1
2 0 2
2 0 0
10 7
1 0 1
0 1 1
2 1 1
0 1 2
0 2 2
2 2 2
1 1 1
0 0 0
1 2 0
0 2 1
10 8
2 0 0
4 2 3
0 4 1
2 3 2
4 3 1
1 0 2
4 3 4
3 4 0
1 3 3
4 0 2
10 9
0 2 2
0 3 2
3 0 2
1 1 2
1 2 0
1 3 1
1 2 2
3 1 3
1 1 3
3 1 2
10 8
2 0 4
5 5 0
5 1 1
1 1 3
1 3 5
1 1 0
4 5 5
5 2 0
4 2 4
1 4 5
10 7
0 2 3
2 3 3
3 1 4
3 4 3
0 2 2
0 0 0
3 2 2
3 3 0
4 0 4
0 2 1
10 2
1 2 3
0 2 1
2 2 3
0 1 2
1 0 3
0 0 0
2 1 3
3 2 3
0 1 0
3 0 3
10 2
0 1 0
4 4 4
4 0 0
3 3 1
1 3 1
0 0 2
3 3 2
4 4 0
2 1 1
2 4 0
10 4
5 4 5
3 3 4
3 2 1
1 2 0
0 1 1
0 0 3
3 3 3
5 5 4
1 1 2
2 2 2
10 7
3 2 1
0 1 3
2 0 3
2 1 3
3 3 3
3 1 2
1 3 1
0 3 3
1 1 0
0 1 2
10 6
1 1 1
1 1 0
0 2 2
1 2 1
0 0 2
2 2 1
2 1 1
1 2 0
2 2 0
0 0 0
10 6
3 4 1
3 0 0
3 0 4
1 4 2
4 4 1
1 0 4
0 4 0
1 4 4
2 2 2
3 4 4
10 4
0 1 1
3 0 4
3 3 1
4 3 3
0 0 2
4 4 4
0 2 2
0 2 1
0 4 3
0 2 0
10 4
3 3 0
0 0 0
2 2 3
2 1 3
1 1 1
3 0 2
3 0 3
0 2 2
1 3 3
0 3 1
10 8
3 3 1
2 3 1
0 3 0
2 1 3
4 3 3
2 2 0
0 4 3
2 2 1
3 2 1
0 0 2
10 4
2 2 1
1 3 2
4 4 4
4 0 1
4 4 1
4 3 1
1 1 2
3 1 3
3 4 3
4 0 2
10 4
2 0 1
3 1 1
1 1 1
1 2 3
1 0 0
3 0 0
0 0 3
2 3 2
3 2 2
1 1 3
10 7
1 1 3
0 4 1
1 1 5
0 5 0
0 2 3
3 4 4
3 2 4
1 4 2
2 1 0
4 4 4
10 8
0 2 2
0 3 4
1 2 4
4 1 2
4 3 1
4 4 3
3 3 2
3 2 4
4 3 4
2 0 3
10 2
4 2 2
3 5 0
0 4 2
3 4 0
0 0 5
3 1 5
5 2 5
2 0 3
1 0 5
4 4 0
10 5
4 0 5
1 3 4
5 3 5
1 2 0
3 5 2
3 5 4
5 5 1
0 2 4
1 5 1
3 5 1
10 7
4 0 3
3 1 2
4 0 4
0 1 0
1 3 1
3 3 1
0 4 2
3 2 1
2 1 1
0 3 1
10 2
2 1 2
0 0 2
3 2 3
1 3 3
3 3 2
1 3 0
2 2 2
0 2 0
1 0 2
1 0 3
10 5
1 4 2
0 1 4
0 4 1
4 4 0
2 0 2
2 3 1
0 4 2
0 2 3
1 1 3
4 3 1
10 7
1 2 4
3 3 0
0 4 0
1 0 1
0 4 1
1 0 4
0 0 2
1 4 0
2 3 0
0 0 3
10 3
3 4 3
3 0 0
0 4 2
2 4 1
1 4 1
5 3 5
5 2 2
1 2 0
5 3 0
5 2 1
10 9
2 1 0
0 0 2
2 2 0
1 2 2
2 2 1
2 2 2
2 0 0
1 0 0
1 1 1
0 0 0
10 2
0 0 5
4 4 0
4 4 4
1 4 2
5 0 3
5 4 2
4 0 0
1 1 4
2 0 3
3 2 5
10 7
3 3 1
1 2 1
0 0 1
1 2 3
1 1 1
2 3 0
0 4 4
0 4 3
0 3 3
4 1 4
10 5
3 2 1
1 1 2
0 0 3
3 0 1
2 2 1
3 1 0
1 1 0
2 2 0
1 0 0
2 0 3
10 6
1 2 0
0 2 2
1 1 1
1 0 0
2 2 0
0 1 2
2 0 2
0 1 0
1 2 2
0 0 2
10 6
4 3 2
1 2 1
1 3 1
1 0 4
3 5 3
3 5 4
1 4 3
0 1 0
2 2 2
5 3 2
10 5
4 3 0
0 0 2
4 1 1
5 2 3
4 1 2
4 4 5
4 3 1
0 2 4
4 4 2
3 4 0
10 6
5 4 5
4 4 3
2 2 1
3 0 0
0 4 0
3 1 0
3 2 1
5 4 1
4 1 4
1 1 2
10 2
2 5 3
1 0 1
0 3 4
4 4 5
1 3 3
1 1 3
2 3 3
3 3 5
1 2 3
1 3 5
10 4
2 3 1
5 5 5
3 1 5
3 3 2
1 2 2
2 3 5
1 2 4
0 1 5
3 2 0
4 4 3
10 8
1 2 0
0 1 2
2 1 1
1 1 0
2 2 0
2 2 1
2 2 2
0 1 0
1 1 2
0 2 2
10 9
1 3 1
2 3 0
3 1 0
1 0 3
0 0 0
1 2 0
0 2 3
2 2 2
3 0 3
3 2 3
10 8
1 2 1
1 1 2
1 2 2
1 2 0
1 0 0
2 1 2
1 0 1
0 2 2
2 0 2
0 1 1
10 4
4 1 3
2 3 3
0 1 3
4 4 2
0 0 4
4 2 1
4 3 1
2 1 1
2 3 0
3 2 2
10 3
1 1 2
2 1 1
1 2 1
2 2 1
1 1 0
2 0 2
0 2 0
1 0 2
2 1 0
0 2 1
10 5
0 4 4
2 3 0
1 4 4
3 2 2
2 1 2
4 0 2
3 2 0
1 2 3
1 2 1
2 0 0
10 7
1 3 0
3 2 3
2 2 2
2 1 1
3 3 1
3 1 0
0 0 0
3 0 2
0 2 3
0 2 2
10 7
1 0 0
1 2 0
2 0 2
0 2 0
1 1 2
0 2 2
0 1 0
2 2 0
2 2 1
0 0 1
10 5
2 2 2
0 1 2
1 0 1
1 0 0
1 2 2
1 1 0
1 0 2
1 1 1
1 2 0
2 0 1
10 3
3 2 2
3 2 1
4 2 4
4 1 1
3 0 2
1 5 2
5 0 4
5 4 2
5 3 0
5 5 4
10 2
4 2 1
3 0 1
1 1 5
3 4 1
3 2 1
1 1 3
3 5 3
3 2 4
3 5 4
5 3 4
10 2
4 5 4
2 4 3
3 3 5
2 4 4
0 2 1
1 1 0
2 2 1
3 1 4
5 5 0
5 4 0
10 8
4 1 2
2 2 0
2 3 3
3 2 2
5 5 5
5 3 0
3 0 4
5 2 3
0 4 5
0 0 0
10 5
1 0 2
4 0 4
1 0 1
1 2 2
0 4 0
0 1 3
4 0 0
3 3 0
3 1 1
1 1 0
10 8
1 0 3
1 1 0
2 2 1
0 2 0
3 2 0
2 1 3
1 3 3
3 1 0
2 0 3
1 1 3
10 8
2 2 2
3 0 1
0 1 0
0 0 2
3 0 0
1 2 2
2 1 3
3 2 0
0 2 3
1 2 3
10 8
0 2 2
2 2 0
2 1 2
2 0 0
0 2 0
1 1 1
0 2 1
1 0 0
0 0 2
0 1 1
10 4
0 4 5
1 1 3
3 4 3
0 2 5
2 0 0
0 0 5
3 1 5
5 4 4
4 1 3
5 3 4
10 2
1 0 1
0 2 1
2 0 0
0 0 1
2 2 2
0 0 2
1 2 2
1 1 0
0 2 2
1 2 1
10 7
3 0 3
1 3 1
1 0 1
0 1 0
1 0 0
2 0 2
0 4 3
4 4 3
1 2 3
3 4 3
10 9
2 2 2
1 0 2
2 2 3
2 3 0
1 3 2
2 1 0
2 0 2
1 3 3
0 0 1
0 2 0
10 7
4 3 1
5 2 4
2 2 5
4 4 5
3 5 5
3 5 2
0 0 3
3 1 1
1 0 3
2 1 2
10 3
3 4 2
2 3 4
4 0 0
0 3 0
0 1 1
2 3 1
3 0 1
4 0 1
3 3 4
1 4 2
10 3
0 4 2
0 4 4
2 1 3
1 3 1
3 0 0
3 3 3
0 0 4
1 3 4
4 0 3
3 2 2
10 5
1 3 2
3 2 3
3 3 3
2 2 3
2 0 0
2 1 3
1 3 0
3 0 3
1 1 1
3 1 3
10 3
5 2 1
3 5 2
3 3 1
0 3 3
3 5 5
2 4 4
2 5 0
1 2 2
3 2 4
2 1 4
10 5
2 2 1
0 2 2
0 1 0
2 1 2
2 0 0
2 0 1
0 2 0
0 2 1
1 2 1
0 1 1
10 7
2 1 1
0 2 2
1 2 1
2 2 1
1 2 2
1 0 2
0 0 2
0 0 0
2 2 0
0 1 1
10 7
1 3 4
1 4 4
3 1 3
4 1 5
3 4 1
3 2 3
4 3 5
3 1 2
0 5 3
2 2 5
10 9
1 2 2
5 2 5
1 4 3
2 1 2
3 2 0
3 3 5
1 1 5
5 3 1
4 4 2
1 1 1
10 9
3 5 0
1 4 0
0 3 5
1 5 4
4 2 0
3 3 3
5 0 1
2 0 0
5 1 5
3 2 1
10 8
1 4 3
1 4 4
1 2 4
3 4 3
1 0 4
0 3 2
1 1 1
0 0 2
2 1 3
4 3 4
10 2
1 4 5
4 4 1
2 5 3
5 3 1
3 0 0
3 3 5
2 0 4
5 5 3
5 1 2
1 3 4
10 9
1 0 0
0 1 0
2 1 0
0 0 2
0 0 1
2 0 0
2 0 2
0 2 1
2 2 0
1 2 2
10 5
2 4 4
3 1 1
2 3 2
4 2 3
1 0 1
1 4 3
4 0 4
1 1 1
2 2 4
1 2 1
10 7
1 1 1
2 2 2
0 1 2
1 0 0
2 0 1
0 2 2
1 2 2
2 2 1
2 1 0
1 1 0
10 3
1 5 2
1 0 1
2 4 0
4 2 3
3 1 0
3 4 0
0 0 5
5 5 0
3 4 4
2 0 1
10 5
2 3 2
5 4 1
3 4 4
2 5 0
0 2 5
1 2 1
1 2 3
5 5 1
1 2 2
1 1 4
10 3
2 0 0
0 0 2
3 2 2
3 2 1
1 2 0
0 2 2
3 0 2
1 2 3
2 1 3
1 1 0
10 8
2 1 0
1 2 3
1 0 1
0 0 2
2 3 0
1 1 0
3 1 0
2 1 3
2 2 1
2 2 0
10 2
4 1 1
4 2 3
4 2 0
2 0 5
2 1 1
0 4 2
5 0 5
0 0 2
1 2 5
1 3 3
10 8
3 0 5
2 4 0
3 4 0
1 3 0
1 5 2
0 2 1
4 2 3
3 5 3
3 2 1
3 1 3
10 9
3 1 3
2 0 2
2 0 0
1 3 3
4 4 0
4 2 2
2 4 4
1 4 4
4 2 3
3 3 0
10 8
1 3 5
4 0 4
0 5 2
3 5 1
2 2 4
1 5 5
1 0 3
4 1 5
3 2 0
2 1 0
10 2
0 1 0
0 2 2
0 3 2
3 1 0
3 2 3
0 2 3
2 1 3
3 3 3
3 0 0
3 1 2
10 9
3 4 2
2 2 2
3 3 4
1 3 1
0 0 0
4 1 1
3 0 4
3 2 1
4 1 3
2 4 4
10 3
3 0 4
4 0 4
3 1 1
1 4 0
4 1 5
5 2 0
2 0 5
3 3 2
3 5 1
4 4 2
10 5
0 2 0
1 0 1
1 2 2
1 2 1
2 1 1
1 2 0
0 1 0
2 2 1
0 2 2
1 1 0
10 6
4 3 5
3 5 2
3 2 2
2 3 1
3 4 2
2 0 4
4 4 3
4 5 0
2 5 0
1 3 1
10 5
1 3 3
3 3 1
0 3 1
1 2 0
1 0 2
0 3 3
2 3 2
1 1 2
2 3 1
0 0 0
10 5
1 1 5
4 1 0
2 4 1
5 5 3
4 3 5
4 1 5
5 1 2
1 5 1
4 1 2
3 2 2
10 3
1 4 4
0 4 0
1 1 1
3 4 2
4 3 4
3 4 1
3 4 3
4 2 2
1 0 1
1 0 3
10 2
2 2 2
2 2 1
1 0 2
1 0 1
1 2 0
0 2 0
0 1 2
2 2 0
0 0 1
2 1 1
10 3
4 4 3
1 3 2
0 2 2
2 4 4
4 1 2
1 1 2
2 3 4
4 3 3
0 2 1
2 2 4
10 6
2 2 0
1 0 0
1 2 2
1 2 1
2 2 1
0 2 0
2 0 1
1 0 2
0 1 2
1 1 1
10 3
1 1 3
1 1 0
2 1 3
1 3 2
3 1 0
2 1 1
0 3 1
0 1 1
3 2 0
1 1 2
10 2
3 3 2
4 4 1
2 1 2
3 1 1
2 4 4
1 2 1
1 0 2
3 2 2
3 4 4
1 1 1
10 8
1 2 1
1 3 2
2 1 3
3 2 2
0 0 3
2 3 1
1 0 0
0 2 2
0 1 1
0 2 0
10 2
3 2 1
3 0 3
3 0 2
2 3 1
2 0 1
1 1 0
0 2 1
1 3 2
2 1 1
1 2 3
10 5
1 2 1
2 0 1
1 0 1
1 1 1
2 0 0
2 2 1
0 1 2
0 0 2
2 2 0
2 1 1
10 3
4 1 2
1 3 1
5 3 5
2 3 4
0 1 5
4 4 2
3 0 1
1 4 2
0 1 1
3 0 3
10 9
2 0 4
3 3 0
3 2 4
0 3 1
3 0 1
4 3 3
1 2 3
2 3 4
0 0 3
0 1 2
10 2
3 0 0
0 2 0
1 2 1
0 2 2
0 3 1
0 3 2
1 0 4
1 4 2
1 4 4
3 3 0
10 9
2 0 3
3 1 3
3 1 0
1 2 2
1 0 0
1 0 3
3 2 0
0 3 2
0 0 0
2 0 1
10 6
1 1 2
2 3 0
2 1 2
2 2 1
0 0 2
0 3 0
1 3 0
3 0 0
1 2 3
3 3 1
10 5
3 2 0
2 1 0
5 3 3
0 0 4
5 3 1
3 1 2
0 4 1
4 5 5
4 2 1
5 5 3
10 8
1 1 2
0 2 2
1 1 0
0 1 1
0 2 0
1 2 2
0 1 0
2 2 1
2 2 2
1 0 1
10 2
2 2 0
0 2 0
1 1 0
2 2 2
0 2 2
1 2 0
0 1 1
0 0 2
1 2 2
2 0 1
10 6
2 2 2
0 2 0
1 1 0
2 1 2
1 2 1
1 0 2
0 1 2
0 0 1
1 1 1
1 2 0
10 3
3 2 4
2 3 3
1 3 1
1 2 3
3 2 3
4 1 3
3 1 0
0 2 4
0 2 1
0 0 4
10 7
1 2 1
2 2 2
0 2 1
0 0 2
2 0 2
2 1 1
0 0 0
1 0 2
0 2 0
2 1 2
10 4
2 2 3
0 0 2
4 4 2
2 0 3
3 0 1
3 0 4
1 0 2
1 0 4
3 1 0
1 4 2
10 6
0 3 3
3 1 3
3 2 3
3 0 4
3 4 4
1 0 4
4 0 3
4 3 4
0 3 4
2 1 3
10 5
0 2 4
1 3 3
4 4 1
5 2 5
4 4 2
1 3 5
1 1 3
3 0 0
0 0 5
2 5 5
10 8
0 2 1
4 1 2
4 0 3
4 0 1
2 4 0
1 0 3
4 2 4
0 1 2
2 3 0
2 1 2
10 9
4 0 5
2 1 4
2 0 0
1 3 4
1 3 5
0 0 2
4 2 5
0 2 4
2 1 0
2 3 0
10 8
1 1 2
1 2 1
1 0 0
2 2 2
1 2 0
0 1 1
1 2 2
2 0 0
2 1 2
0 2 2
10 9
0 4 5
4 2 0
5 0 4
3 4 5
5 3 2
5 4 2
2 4 0
1 2 1
0 0 2
2 0 4
10 9
2 2 3
3 1 0
3 0 2
0 2 2
2 2 1
2 0 1
0 3 3
1 3 2
0 0 1
1 2 1
10 5
0 0 0
1 0 5
0 5 2
1 1 4
2 5 4
3 4 2
1 5 3
3 4 3
1 2 3
0 3 3
10 6
3 0 3
1 3 0
2 2 3
2 1 2
0 2 1
2 0 0
0 3 0
1 3 2
3 1 2
2 2 0
10 8
0 0 1
1 2 1
2 0 0
1 1 0
2 0 1
0 2 0
2 2 2
1 1 2
1 0 1
0 1 0
10 5
2 0 2
1 4 1
4 4 2
1 3 4
1 4 4
4 0 1
0 2 1
0 0 0
4 0 4
3 2 3
10 3
1 2 2
1 0 0
1 2 1
2 0 0
2 1 1
1 1 2
1 2 0
0 2 1
0 1 1
2 0 1
10 3
0 0 0
0 2 0
1 0 0
2 1 1
1 1 0
0 2 2
2 2 1
1 2 0
0 2 1
2 2 2
10 8
1 0 0
4 2 1
4 1 2
1 2 0
2 0 4
3 4 1
0 0 2
2 0 1
0 4 2
1 0 2
10 5
2 4 3
3 0 1
0 3 2
0 3 1
1 1 1
2 4 0
1 2 1
2 4 4
4 3 4
0 2 3
10 9
2 0 1
0 4 1
4 0 4
0 3 2
0 2 0
3 2 3
4 0 0
1 4 3
3 3 4
2 3 2
10 3
2 1 4
3 3 1
1 4 4
4 1 1
1 4 3
4 2 1
1 0 5
1 4 0
5 3 3
2 4 3
10 3
0 1 1
1 3 2
0 1 3
0 2 1
0 1 0
3 1 3
1 0 2
0 0 0
3 0 1
3 2 0
10 3
3 1 4
1 5 3
2 3 0
2 2 1
4 0 3
3 3 3
5 0 0
1 3 1
1 2 1
5 0 3
10 7
4 2 3
4 2 0
3 2 1
0 0 0
3 1 2
1 2 2
0 2 1
4 4 3
3 0 3
3 0 0
10 7
4 5 0
2 4 2
2 0 2
2 0 3
0 2 5
4 5 4
0 1 3
0 3 5
5 2 4
1 0 2
10 5
0 2 0
4 4 4
4 3 0
5 2 5
0 5 3
4 5 1
4 4 3
2 0 1
3 2 5
2 1 4
10 6
1 0 0
1 1 0
1 2 1
0 0 0
1 3 3
3 2 1
2 0 3
3 3 0
1 3 0
3 1 0
10 4
1 4 3
5 2 0
2 4 2
5 0 1
3 4 4
3 4 2
4 4 3
5 2 5
5 5 0
4 2 2
10 2
4 1 3
4 3 4
1 1 2
2 4 1
1 0 4
2 0 0
0 2 4
0 4 1
2 4 3
3 0 2
10 5
1 1 1
3 4 2
2 2 0
1 5 2
4 2 0
4 0 1
1 0 2
3 0 0
0 2 1
3 2 3
10 2
1 1 1
2 1 1
2 2 1
0 2 0
2 0 2
2 1 0
1 0 0
0 0 1
0 1 2
0 2 1
10 5
0 1 2
2 2 0
2 2 2
0 1 0
0 2 0
0 0 0
2 0 1
1 1 2
1 0 1
0 1 1
10 5
3 4 0
1 0 3
0 4 5
2 2 5
1 3 2
1 5 3
5 1 4
1 0 0
4 2 5
2 0 2
10 9
0 2 0
1 2 2
0 0 2
2 1 2
1 1 0
1 0 1
1 2 0
2 0 1
1 2 1
2 2 0
10 2
3 4 1
3 2 1
2 3 0
5 5 3
3 3 1
2 2 1
3 1 2
4 3 4
5 3 4
4 3 2
10 4
3 2 4
4 0 4
4 4 1
0 1 2
0 2 1
1 2 1
3 3 3
3 3 2
2 4 3
2 4 0
10 3
4 3 1
1 0 1
1 2 1
0 0 5
3 4 4
2 3 3
5 2 5
2 4 3
3 5 5
4 5 1
10 8
1 4 3
3 2 3
4 1 3
1 2 3
1 1 4
3 1 2
4 2 1
1 1 3
4 3 0
3 0 2
10 3
4 2 5
1 3 3
4 0 4
2 2 3
4 4 2
0 2 2
3 2 3
1 4 3
5 2 0
1 5 4
10 8
3 1 0
0 2 1
0 3 1
2 3 0
2 3 1
3 2 1
3 2 3
2 1 2
1 1 2
1 1 0
10 5
2 2 2
0 0 2
0 1 1
2 0 1
1 0 0
1 0 2
0 0 0
1 2 0
1 1 1
2 0 0
10 2
1 4 4
1 3 3
3 4 4
4 2 3
4 3 2
3 0 2
0 3 0
4 2 4
2 3 0
1 2 4
10 8
4 3 1
4 0 5
1 5 5
4 4 5
5 3 3
2 2 4
4 0 0
2 4 5
0 2 0
1 1 1
10 8
0 3 2
0 1 4
0 4 0
2 0 1
0 2 2
4 2 2
0 4 4
2 2 2
2 3 2
3 0 3
10 5
2 0 0
1 2 1
0 1 2
2 1 1
0 0 2
0 0 0
2 2 1
0 1 0
1 0 0
1 2 2
10 7
2 0 2
1 0 2
0 1 2
0 1 0
1 2 2
1 0 0
0 2 1
1 1 2
1 1 0
2 2 1
10 2
1 2 2
0 0 1
1 1 2
1 2 0
1 2 1
0 0 2
2 0 0
1 1 1
1 0 1
2 1 2
10 6
2 4 5
1 5 1
1 2 3
0 5 2
5 5 2
1 5 5
2 5 2
3 2 4
3 5 3
2 2 2
10 6
3 4 1
1 2 3
1 4 1
0 4 4
2 2 3
0 3 0
3 0 4
1 3 3
2 4 0
3 1 3
10 4
0 2 1
3 4 2
3 2 1
3 1 0
3 2 0
2 3 4
0 2 2
3 0 0
3 0 3
3 4 4
10 8
0 1 0
1 1 1
0 0 3
0 2 1
3 3 3
0 1 3
1 2 3
3 3 2
2 3 2
1 1 0
10 2
2 1 0
2 0 2
2 2 0
1 2 2
2 1 1
1 0 2
2 1 2
0 1 0
0 2 2
2 2 1
10 8
2 1 2
1 2 2
3 2 3
3 1 4
2 2 1
1 1 0
2 3 2
0 1 1
3 1 1
0 1 3
10 5
3 3 0
0 1 2
3 1 0
2 1 0
1 1 1
3 2 3
1 2 0
0 0 1
0 1 1
1 2 3
10 5
0 2 0
4 0 0
0 1 3
3 2 5
5 2 4
0 0 2
0 1 0
5 1 4
5 3 2
1 1 4
10 2
1 3 3
1 0 1
2 0 1
3 2 0
1 0 0
3 0 0
2 2 3
2 2 1
2 0 3
3 0 3
10 3
5 0 2
3 4 5
5 3 0
1 3 3
1 4 4
1 3 4
1 1 2
0 4 2
4 0 0
5 1 3
10 3
0 1 2
0 0 1
0 2 2
0 2 0
2 1 0
2 1 2
2 2 0
2 0 0
1 2 2
1 0 1
10 5
0 2 0
0 0 1
0 0 0
0 2 2
0 1 0
2 1 1
2 2 0
2 0 2
0 2 1
1 0 1
10 3
1 4 3
1 2 3
2 2 0
1 1 3
3 3 2
0 4 2
0 1 3
1 2 0
4 4 1
1 1 2
10 2
1 1 1
2 0 1
0 2 1
1 0 0
0 2 0
0 2 2
1 1 2
0 1 0
0 0 1
2 1 2
10 6
5 0 4
1 3 3
5 3 2
1 0 1
2 3 0
3 2 2
0 1 3
0 0 5
0 4 1
4 3 4
10 4
2 0 2
1 2 1
0 1 1
1 1 0
0 2 2
2 2 1
0 0 2
1 0 2
0 0 1
0 2 1
10 4
2 0 1
3 1 2
2 0 2
2 2 0
1 3 1
3 3 1
0 0 1
3 0 1
0 1 3
2 3 3
10 7
3 2 0
2 3 3
2 2 1
1 3 3
3 3 3
0 3 0
1 3 2
0 3 3
0 2 1
0 3 2
10 9
4 2 2
4 0 3
2 3 1
0 4 1
2 2 1
2 1 2
2 1 4
3 1 1
1 4 0
4 3 0
10 9
0 0 2
2 3 2
1 3 1
2 1 1
1 0 2
1 2 0
1 2 1
3 0 3
2 2 0
3 1 1
10 8
3 1 0
4 2 2
0 4 2
4 2 0
3 2 4
3 4 2
2 2 1
4 1 2
1 2 1
4 4 0
10 5
2 2 0
0 2 2
1 0 2
1 2 0
1 1 2
0 0 0
2 0 0
0 1 1
0 2 1
1 1 0
10 4
3 0 0
0 0 2
1 2 3
1 3 0
3 3 0
2 2 1
0 2 3
2 1 1
0 2 0
2 1 0
10 5
0 4 0
1 1 3
4 2 0
3 4 1
3 1 3
2 1 4
4 1 4
1 1 0
4 4 0
0 0 0
10 6
2 0 3
0 1 0
0 1 1
3 2 0
3 1 3
0 2 3
0 2 2
1 1 1
2 2 0
1 3 0
10 9
1 1 1
0 0 2
2 1 2
1 0 1
1 0 3
1 1 3
0 3 1
0 2 3
2 0 2
1 3 2
10 5
3 2 3
1 2 1
1 3 1
3 0 1
1 3 0
0 2 1
2 1 1
0 1 0
1 0 3
3 3 2
10 5
1 0 3
1 3 2
1 2 2
3 0 0
2 2 1
3 0 2
3 2 3
2 0 3
3 0 1
1 1 0
10 9
2 1 3
0 0 1
2 3 0
2 2 3
0 0 2
2 1 1
3 2 2
3 1 3
0 3 3
3 2 3
10 5
4 1 0
3 4 4
4 2 0
4 4 0
2 3 1
4 4 3
0 3 0
1 2 4
2 4 1
1 0 1
10 8
0 0 4
1 2 0
3 4 3
3 1 0
1 2 3
0 1 0
4 4 2
2 1 4
4 1 3
1 4 2
10 5
0 0 4
2 3 0
2 4 4
4 1 0
2 1 2
1 3 2
4 4 2
3 1 3
3 1 4
1 3 3
10 7
3 3 3
4 4 1
5 5 1
5 5 3
4 2 3
5 1 4
1 5 3
2 1 4
3 0 5
0 0 5
10 3
1 0 0
1 2 1
1 3 0
3 1 2
0 0 0
1 0 1
3 3 0
2 1 3
0 0 1
1 1 3
10 9
2 1 3
4 4 1
0 4 2
3 1 4
3 4 2
3 2 0
0 0 4
1 2 3
4 3 0
2 0 0
10 4
4 3 3
2 3 1
2 3 3
4 1 3
2 0 2
1 2 0
1 2 2
3 0 1
2 4 3
3 2 3
10 2
1 0 0
3 2 1
2 3 0
1 0 1
0 3 3
3 2 2
2 3 2
3 2 0
2 3 1
3 3 3
10 5
0 0 0
2 1 0
0 2 0
0 1 2
2 0 0
0 0 1
0 1 0
1 0 2
2 2 2
1 1 2
10 3
0 1 0
0 1 1
2 2 2
2 0 0
0 0 1
1 1 2
1 2 1
0 0 0
2 2 0
1 1 1
10 7
3 2 3
3 1 1
0 2 2
2 3 0
0 3 1
3 3 2
2 3 1
0 0 0
3 3 0
2 3 3
10 4
2 3 1
0 1 0
2 0 0
3 0 4
4 0 0
2 3 2
2 2 1
4 4 1
2 4 1
4 2 1
10 7
0 2 1
1 3 2
2 3 4
0 1 1
2 3 3
0 3 4
4 0 0
2 0 4
0 3 1
0 3 3
10 7
3 0 3
3 0 0
0 1 3
3 2 1
0 0 0
0 0 2
3 3 2
2 1 1
0 3 2
3 1 1
10 9
3 2 2
3 0 1
3 0 0
0 2 2
2 0 2
2 2 2
2 3 2
2 2 0
0 2 1
2 1 3
10 4
1 2 1
1 0 0
2 0 2
2 2 0
1 1 1
0 1 2
1 1 2
2 2 2
0 0 2
2 1 2
10 8
1 1 0
1 1 1
2 0 2
0 0 2
1 2 0
2 2 0
0 1 0
2 1 1
0 1 1
2 2 1
10 7
1 3 1
2 0 0
1 1 2
2 3 3
1 1 1
3 4 1
1 0 4
4 2 0
1 4 0
4 1 3
10 3
1 0 0
1 0 1
0 2 2
1 2 2
0 0 0
1 2 0
2 1 0
0 2 0
1 1 2
2 2 2
10 9
2 1 1
1 0 2
4 5 0
5 2 4
2 0 4
0 2 1
5 2 3
5 0 1
0 0 2
5 0 4
10 4
2 5 0
4 0 0
5 5 1
5 4 2
3 1 5
5 5 2
2 1 5
0 4 3
4 5 2
2 0 4
10 5
0 0 5
5 0 4
0 3 5
5 3 5
4 5 4
3 3 0
5 3 3
4 0 1
4 2 1
4 0 5
10 9
4 5 0
2 4 2
1 1 5
0 1 0
2 5 3
1 0 4
0 4 2
0 3 1
3 1 0
2 0 5
10 2
2 1 3
1 2 3
0 1 4
4 4 4
4 0 1
0 1 1
0 2 4
4 4 3
3 1 3
2 2 3
10 2
0 0 0
0 2 3
1 1 3
2 2 0
0 3 3
2 1 3
2 3 2
3 3 0
2 2 2
3 3 3
10 6
0 2 0
0 0 0
0 1 0
1 0 1
2 2 2
2 0 2
1 1 1
0 0 2
0 0 1
2 1 1
10 6
1 0 1
0 1 2
1 2 0
2 0 0
1 0 0
1 1 1
2 0 2
1 1 2
0 0 2
0 0 1
10 9
2 3 0
0 3 1
3 4 2
5 1 4
2 4 4
0 3 0
4 3 5
2 1 1
5 1 5
5 3 0
10 4
3 2 0
3 0 1
2 0 0
1 1 2
0 3 3
2 0 2
0 3 2
1 1 3
2 1 1
0 2 0
10 5
0 4 4
4 1 3
5 5 5
5 5 2
3 1 4
3 4 2
4 3 2
1 2 4
4 0 1
4 0 3
10 8
3 1 0
3 0 2
2 1 2
1 4 1
3 2 1
2 4 1
3 0 1
4 4 2
4 4 3
3 3 4
10 6
0 0 2
2 1 0
2 3 3
3 2 0
3 2 2
0 3 0
3 3 0
2 0 1
2 2 0
1 0 1
10 5
1 3 0
0 3 1
0 1 2
3 0 2
1 0 2
1 2 2
0 0 3
3 2 3
1 0 3
1 2 1
10 4
5 3 4
3 2 3
1 4 1
3 5 3
5 5 3
2 3 5
1 5 3
2 4 3
0 2 5
3 1 4
10 4
0 1 3
3 1 3
3 3 1
1 3 3
1 1 2
2 0 0
1 2 3
2 2 2
2 3 3
0 0 2
10 6
1 0 0
1 0 2
1 1 1
2 0 0
0 2 2
2 0 2
0 1 0
1 0 1
2 1 2
0 0 1
10 4
1 0 2
3 2 1
3 0 2
0 1 3
2 4 4
0 4 0
2 2 4
2 0 2
0 4 3
4 1 2
10 7
4 3 1
2 3 5
2 3 1
2 5 3
3 4 3
2 0 3
5 5 1
1 4 5
1 0 4
4 1 4
10 2
5 1 5
2 1 2
2 0 2
1 3 4
1 3 1
5 2 4
3 3 4
5 5 0
3 1 5
3 1 3
10 9
1 0 0
2 2 1
1 2 1
2 0 2
0 2 2
1 0 2
2 1 1
2 2 0
1 2 2
0 0 1
10 3
0 1 0
0 0 1
2 1 1
0 2 0
0 0 0
1 1 1
1 2 2
2 0 1
2 2 2
0 0 2
10 5
4 3 0
1 3 3
3 1 5
4 2 4
0 1 3
1 3 1
3 3 1
0 5 3
2 3 0
0 5 1
10 9
0 1 1
0 1 0
1 1 1
2 2 1
1 0 2
2 1 0
1 2 2
2 0 2
2 1 2
1 2 1
10 4
1 4 0
4 1 2
3 0 2
3 2 2
0 0 4
3 2 4
4 4 1
2 4 3
1 4 2
0 4 4
10 2
2 2 4
4 3 3
4 3 2
0 1 1
2 3 3
3 0 3
3 4 1
0 3 1
4 1 0
4 4 3
10 3
0 0 0
3 1 0
3 3 3
1 1 2
0 1 1
2 3 1
2 0 3
2 0 0
0 3 1
0 0 3
10 7
3 2 0
2 3 0
2 1 1
0 2 0
1 2 1
2 1 0
0 0 2
1 0 0
0 1 2
3 0 0
10 2
2 0 0
1 0 2
0 2 0
2 2 1
0 2 2
2 1 1
1 0 1
1 2 2
2 0 2
0 0 0
10 8
2 1 2
0 2 0
1 2 0
0 2 2
0 2 1
1 0 1
2 1 1
2 0 1
1 2 2
2 2 0
10 6
3 2 2
3 3 3
0 4 4
3 3 2
2 0 0
1 4 3
3 0 0
3 4 4
1 1 3
0 3 3
10 4
1 1 1
4 1 3
5 5 3
5 1 3
4 1 4
4 3 2
5 4 2
2 2 4
2 0 3
4 4 1
10 3
0 1 1
2 2 0
2 1 1
2 1 0
0 1 2
0 2 1
1 1 2
1 1 0
1 0 0
1 0 1
10 5
1 0 5
2 1 4
5 1 5
5 4 2
1 0 0
4 0 1
1 0 3
1 0 4
4 3 1
5 1 2
10 7
4 0 1
5 3 0
5 4 3
1 5 0
3 4 3
1 5 1
3 3 4
2 0 2
3 1 5
4 0 5
10 8
1 1 0
2 3 2
2 0 3
2 0 2
0 3 1
1 0 0
3 2 2
2 3 0
0 1 0
2 3 3
10 5
3 3 0
0 1 1
1 0 1
3 3 3
0 2 2
1 3 2
0 0 1
1 2 1
3 2 3
1 0 0
10 5
2 1 2
3 2 1
5 5 4
0 4 5
5 4 2
2 5 0
0 2 3
2 5 5
4 1 5
5 1 0
10 8
0 2 2
2 2 0
1 1 2
2 1 2
2 0 1
0 2 0
1 2 1
0 0 0
0 1 1
1 0 1
10 9
5 5 2
4 2 0
1 0 0
4 2 5
4 4 4
3 2 1
2 0 5
3 5 5
5 2 5
4 3 1
10 4
5 3 4
1 0 3
0 3 2
5 4 0
5 2 2
3 5 3
2 3 0
1 3 2
4 4 5
3 1 0
10 5
0 1 1
3 1 1
2 2 1
1 1 1
1 1 3
2 0 3
2 0 0
3 3 1
0 2 2
0 2 3
10 2
2 1 3
3 4 1
1 1 5
5 0 0
1 3 0
0 4 1
1 1 4
5 3 1
3 0 2
0 2 0
10 9
0 2 5
4 3 1
2 5 4
1 0 0
2 5 0
5 3 4
2 5 3
2 0 2
3 0 2
1 0 2
10 2
2 2 1
1 5 3
2 1 2
2 1 1
4 4 5
3 3 3
4 1 5
0 2 4
0 0 5
1 5 0
10 4
0 0 0
2 2 0
0 0 2
1 0 0
2 1 1
2 2 1
1 0 2
2 0 0
2 2 2
2 1 0
10 7
3 3 3
2 1 0
1 1 3
2 0 1
0 1 3
2 1 1
1 2 1
1 1 2
1 2 3
0 2 1
10 7
3 3 3
0 1 2
3 0 2
0 0 1
2 0 3
3 2 1
1 2 0
0 0 0
1 1 3
1 0 1
10 4
2 0 3
2 2 3
1 3 3
1 0 0
3 3 1
2 3 1
0 0 1
3 2 1
3 0 0
2 1 3
10 5
0 2 3
3 3 4
2 0 0
2 0 3
2 2 0
2 1 3
2 4 4
0 1 0
1 4 2
0 1 4
10 5
2 2 0
0 2 0
2 0 0
1 2 2
1 0 2
0 1 2
0 0 2
1 1 0
0 1 1
2 2 1
10 9
2 3 1
3 1 0
3 0 0
0 1 1
0 1 2
1 2 3
1 1 3
0 3 0
2 1 0
1 1 1
10 7
3 3 0
0 3 3
0 1 2
1 1 2
0 2 2
1 2 2
3 0 0
2 2 1
1 1 0
2 3 0
10 3
2 0 1
0 0 5
1 1 3
4 5 1
4 5 3
0 3 0
1 1 1
4 5 5
1 1 4
5 0 4
10 6
1 0 1
0 1 3
3 2 1
1 3 2
3 3 2
0 1 1
3 0 0
3 1 2
0 0 3
2 3 3
10 6
3 3 1
4 0 4
1 1 2
4 1 0
2 4 1
4 4 0
2 1 0
1 2 3
2 0 3
0 2 4
10 4
0 5 4
3 2 3
4 0 5
3 3 0
2 1 4
0 1 2
2 2 3
0 3 0
0 2 3
0 2 1
10 8
4 4 4
3 2 0
2 4 3
2 2 4
0 0 0
2 0 1
4 1 0
2 3 2
1 2 0
4 3 1
10 5
1 0 1
3 3 3
3 1 0
2 1 1
3 2 2
1 3 0
3 3 0
0 0 0
3 2 0
2 0 3
10 5
2 0 1
3 1 0
3 3 0
2 2 3
1 2 1
0 3 1
2 3 1
3 2 3
0 2 3
3 0 0
10 2
2 1 3
3 3 0
0 2 2
1 3 0
1 2 1
0 2 3
2 2 2
1 0 3
1 2 0
3 1 2
10 3
5 3 0
2 2 0
2 1 4
1 5 0
2 2 1
3 3 2
0 0 1
0 2 4
5 3 3
4 5 0
10 9
1 1 0
0 1 2
1 1 1
1 1 2
0 2 2
2 2 2
0 0 2
2 1 0
1 2 2
1 2 1
10 6
3 3 2
3 0 3
0 0 2
0 1 2
1 2 2
1 1 0
1 1 3
2 3 2
1 0 2
0 0 0
10 9
2 0 1
2 2 1
1 0 0
1 2 1
1 1 1
2 1 0
0 0 2
0 1 0
0 0 1
1 1 0
10 4
4 5 2
5 5 4
3 1 4
4 0 2
5 1 2
4 1 5
4 4 2
4 3 3
4 5 4
1 3 1
10 8
1 3 4
4 2 2
4 3 4
0 1 1
3 1 2
0 4 1
4 0 2
2 0 4
3 2 3
0 1 3
10 6
0 0 2
0 1 2
3 1 3
2 1 0
2 0 1
0 3 1
3 0 3
1 2 1
0 3 3
0 3 2
10 8
3 4 3
1 2 2
0 3 3
3 1 4
0 1 3
2 2 2
3 2 3
2 0 1
4 0 1
0 4 0
10 6
0 2 2
3 3 2
3 0 3
2 2 1
1 2 2
1 1 2
3 2 2
3 1 1
3 3 1
3 2 3
10 6
4 3 4
3 1 0
4 1 0
1 4 4
0 1 3
3 0 4
4 2 1
3 3 0
3 4 3
4 4 4
10 6
3 2 3
0 3 1
0 0 2
3 3 1
3 3 3
3 2 1
0 2 1
3 0 0
2 3 0
3 0 3
10 9
4 0 0
4 2 3
4 0 1
0 2 2
1 1 1
2 4 1
3 2 2
2 3 2
0 3 0
0 2 1
10 5
0 1 2
2 2 2
2 0 0
1 2 1
0 3 1
1 3 1
3 3 2
2 1 0
0 2 3
1 0 2
10 6
4 0 4
3 0 2
1 3 1
4 5 5
3 5 5
0 0 4
3 0 4
4 4 1
1 0 5
2 1 3
10 9
2 3 0
0 1 1
3 0 2
3 2 1
3 3 1
2 0 0
0 0 1
3 1 0
1 1 3
0 1 2
10 3
1 2 0
2 1 0
1 0 1
0 0 2
2 1 2
0 2 2
0 2 1
2 1 1
1 2 2
1 0 0
10 8
0 3 0
1 1 4
4 4 0
1 4 2
4 0 2
1 4 1
1 2 2
0 4 0
3 4 3
3 0 0
10 7
3 0 2
0 1 3
3 2 3
3 3 0
3 1 0
1 0 1
2 3 1
2 3 2
1 2 1
1 2 0
10 8
2 3 0
0 2 1
3 3 1
2 1 0
0 2 0
1 3 1
2 3 2
3 2 1
3 3 3
3 0 3
10 4
1 4 2
1 2 3
1 0 2
2 2 1
3 1 4
4 4 1
4 1 2
0 3 4
2 3 0
4 3 3
10 3
0 0 1
1 2 2
0 2 0
0 0 0
2 1 2
1 0 0
1 2 0
2 2 1
1 0 2
2 1 1
10 3
0 2 1
2 0 3
1 2 1
2 0 2
2 0 1
3 0 0
2 2 3
3 3 3
0 1 0
2 2 1
10 7
1 2 1
1 0 0
2 0 2
0 2 2
0 0 0
0 1 0
2 0 0
1 2 0
1 1 2
0 1 2
10 9
3 2 5
3 3 4
4 4 5
0 2 2
1 0 3
0 3 3
1 4 5
3 2 4
0 4 2
1 1 0
10 8
3 1 2
1 2 1
5 5 2
3 1 1
5 2 2
4 1 5
0 4 5
2 1 3
2 0 0
2 3 0
10 9
5 2 4
4 2 5
0 1 2
3 5 1
1 4 2
0 0 1
5 5 5
0 5 3
2 5 5
3 5 2
10 3
2 0 0
2 2 2
1 0 3
1 1 3
2 3 1
3 1 2
3 2 1
2 1 0
0 1 2
1 2 1
10 6
1 0 0
0 1 4
2 1 2
0 2 0
1 0 1
4 4 4
3 4 0
3 1 0
2 3 2
3 1 2
10 5
3 0 0
0 1 3
1 3 3
3 2 0
0 2 2
0 3 2
2 3 1
3 3 1
3 2 3
0 1 0
10 6
3 1 1
3 3 4
4 1 3
0 2 3
4 2 3
2 0 2
2 0 0
3 3 1
3 2 3
0 2 4
10 3
3 1 1
2 1 3
2 3 2
1 3 2
3 1 2
2 0 1
2 2 0
2 3 3
1 0 1
3 2 3
10 3
3 2 0
1 1 3
2 2 3
3 3 4
4 3 0
3 2 3
2 1 4
0 0 3
2 4 1
4 0 3
10 7
3 1 2
1 1 2
1 3 2
0 3 2
0 1 0
1 2 2
0 1 3
0 2 3
2 1 3
2 3 3
10 2
1 0 2
2 1 0
2 0 2
0 1 0
0 2 0
1 1 0
1 0 1
2 1 1
2 2 0
0 0 1
10 2
2 4 2
2 0 4
0 1 2
5 5 1
4 3 2
3 4 4
1 3 3
2 2 1
5 3 2
1 4 2
10 4
3 5 0
0 2 5
5 1 5
3 0 4
4 4 5
0 5 0
0 0 5
4 1 3
4 2 0
0 4 4
10 5
2 2 0
1 0 0
1 2 1
0 0 2
1 2 0
2 1 2
2 2 2
0 0 1
1 1 1
2 0 0
10 4
1 0 1
0 1 2
1 2 1
1 0 2
2 0 2
2 1 1
1 0 0
0 0 1
2 0 1
2 0 0
10 2
2 3 4
4 3 1
1 3 1
3 1 1
0 4 0
2 2 1
3 3 3
3 1 4
4 1 2
1 0 1
10 4
4 4 2
0 0 4
4 4 3
1 0 0
3 4 4
3 3 4
3 1 2
4 1 1
0 4 0
0 2 4
10 2
2 1 2
1 2 0
0 0 0
1 1 0
0 2 0
1 1 2
2 2 2
0 1 1
1 0 1
2 2 1
10 6
0 2 0
2 3 2
0 0 2
3 1 2
2 1 0
0 1 3
0 0 3
3 0 0
2 2 3
0 2 2
10 6
5 0 4
2 5 5
2 3 2
5 5 5
0 4 3
0 3 3
5 0 2
2 0 0
1 4 5
0 1 0
10 8
1 3 3
0 0 1
1 3 0
3 0 1
0 0 0
3 2 1
3 0 2
0 3 2
1 2 1
1 0 2
10 4
2 4 4
4 3 4
4 4 1
0 3 1
3 0 1
3 1 1
2 2 4
3 0 2
0 0 3
1 4 2
10 6
0 4 4
1 3 3
1 2 4
3 2 3
3 1 0
2 3 0
0 0 1
4 2 4
2 4 2
4 1 0
10 2
0 1 0
2 0 2
1 2 1
3 2 3
0 0 2
2 3 3
2 2 1
1 1 3
0 2 3
1 1 1
10 3
2 1 2
2 2 2
2 2 0
2 1 1
1 2 0
1 2 2
0 0 2
0 1 1
0 0 1
1 0 0
10 7
3 2 2
4 4 0
3 1 0
0 4 4
4 2 1
3 2 3
1 3 0
3 3 0
4 2 2
0 1 1
10 5
0 1 0
1 0 1
2 1 1
0 0 2
2 2 0
1 0 0
1 0 2
2 0 2
0 2 1
2 2 1
10 2
3 0 2
3 3 2
3 3 1
0 3 4
0 0 4
4 2 4
3 2 4
1 3 0
2 2 2
1 3 3
10 6
0 1 1
0 0 1
3 1 0
3 0 0
1 3 2
2 1 0
0 0 3
1 3 0
1 2 2
1 3 1
10 7
4 0 1
0 2 0
5 0 3
1 4 5
4 4 0
0 4 2
0 0 4
5 1 5
3 3 4
5 4 3
10 4
0 0 0
0 2 0
2 1 2
2 0 3
2 2 1
0 3 3
2 3 2
2 0 1
3 0 1
3 2 1
10 3
2 0 1
0 3 1
3 2 3
2 1 2
1 3 1
1 2 0
3 0 0
2 2 1
2 1 3
0 3 2
10 4
2 0 2
0 2 0
2 3 1
2 2 2
1 3 1
1 0 0
1 3 0
3 2 3
2 1 1
2 0 0
10 9
4 3 1
0 1 1
0 1 2
2 3 2
4 1 2
1 2 1
0 4 4
0 3 0
2 3 1
3 3 4
10 3
3 3 4
5 1 1
1 3 4
1 4 4
0 1 0
0 0 2
3 3 5
5 0 4
5 2 2
4 5 2
10 6
0 2 0
1 0 1
2 0 2
1 2 0
3 4 1
0 1 2
0 4 0
1 4 0
0 3 1
0 2 4
10 9
3 0 1
3 1 0
2 3 2
3 0 4
0 4 2
0 1 3
2 2 2
0 3 3
2 2 1
1 4 0
10 5
1 2 3
3 3 1
0 1 1
0 0 2
1 1 2
3 0 3
2 2 2
2 2 3
3 3 2
2 1 1
10 9
2 0 1
1 1 1
3 0 0
2 0 3
3 0 2
2 3 1
0 3 1
0 1 1
1 2 1
0 2 2
10 2
0 1 2
2 0 0
0 1 3
3 2 1
0 2 0
1 3 1
3 2 2
1 0 3
3 3 3
2 0 3
10 9
0 0 0
0 2 1
2 1 0
2 0 0
1 0 1
2 1 1
1 2 0
2 2 0
2 0 1
2 0 2
10 4
3 2 1
2 3 3
0 1 3
0 2 2
2 2 1
0 2 1
3 3 2
3 0 0
0 2 0
2 2 2
10 2
2 2 1
1 3 3
0 2 0
1 3 0
1 3 2
1 1 1
1 0 0
1 1 3
3 2 1
2 3 3
10 2
2 3 1
3 3 2
3 1 1
0 1 1
3 4 1
2 4 2
2 3 2
2 1 4
2 0 0
3 4 2
10 3
1 3 2
0 3 2
3 1 1
3 3 3
0 3 3
2 3 0
0 0 3
3 3 2
0 2 3
0 2 0
10 4
0 3 1
5 1 0
5 2 1
3 4 0
5 4 1
2 1 0
1 4 4
1 1 3
3 2 1
3 5 2
10 8
2 4 3
4 0 2
1 0 1
4 3 0
1 3 1
3 3 5
2 2 5
3 4 2
0 4 5
1 1 3
10 3
2 4 2
2 3 4
4 1 1
0 1 0
4 4 3
4 1 0
0 4 4
1 1 4
1 4 0
4 0 3
10 3
1 2 3
2 2 3
4 3 2
2 3 2
1 0 4
4 4 0
1 4 0
0 0 1
3 3 4
0 3 3
10 3
0 2 4
1 3 3
0 4 3
4 0 4
1 3 1
3 0 4
2 4 0
0 2 1
0 1 0
1 4 0
10 4
3 3 1
3 2 2
1 1 1
2 1 4
5 0 1
0 2 1
0 4 5
1 5 5
1 0 0
1 3 5
10 6
1 1 2
0 4 1
0 2 2
3 0 4
3 1 2
1 2 4
0 4 2
3 3 4
1 3 3
4 2 2
10 6
2 2 2
1 0 3
3 1 2
3 3 0
1 1 0
3 2 0
2 2 1
0 0 3
0 3 3
1 2 0
10 6
0 1 0
2 2 2
1 0 0
2 0 1
2 2 1
1 2 0
0 2 0
1 0 1
1 1 1
2 2 0
10 5
0 2 1
2 0 0
2 0 2
2 1 0
0 2 2
0 1 2
1 1 1
1 2 0
1 0 0
1 1 0
10 7
2 4 0
4 1 1
5 1 4
3 3 1
2 4 1
1 4 4
1 5 2
3 0 4
4 1 0
5 0 3
10 6
1 1 3
2 1 2
3 3 2
2 1 1
1 0 0
3 2 2
3 1 1
2 3 2
1 3 1
0 0 0
10 2
1 4 4
2 3 4
0 0 4
3 3 4
2 0 2
3 2 1
4 2 0
4 2 2
0 1 4
1 4 1
10 6
4 0 2
3 2 3
4 3 1
2 1 0
0 0 1
0 3 1
0 1 0
4 3 2
1 0 2
2 0 4
10 2
1 1 1
3 0 3
3 0 1
0 2 0
0 4 2
2 4 4
0 3 1
1 1 3
3 4 2
3 3 4
10 4
1 1 0
2 2 0
2 0 2
0 1 2
0 1 0
1 0 2
2 1 0
1 0 0
0 1 1
1 1 1
10 7
1 1 1
1 4 3
2 1 2
2 2 2
0 3 3
0 0 2
4 2 0
4 2 4
1 3 1
1 4 2
10 4
1 1 2
2 0 0
2 2 0
1 1 0
0 2 2
1 0 2
0 1 0
2 1 2
1 2 1
2 2 1
10 7
0 1 0
1 2 0
5 3 5
5 1 4
2 0 3
4 5 1
3 4 2
0 5 5
3 0 2
2 1 2
10 4
1 2 1
1 1 0
0 0 0
0 2 2
1 0 2
0 1 0
0 2 1
0 0 2
1 0 1
1 1 2
10 7
5 5 3
3 1 5
4 0 5
1 5 1
3 1 0
4 4 1
4 2 4
2 1 3
1 3 0
0 1 1
10 3
0 1 1
0 1 2
0 2 1
1 1 2
2 0 2
0 1 0
2 2 2
1 2 1
1 2 2
0 0 0
10 9
2 2 2
1 2 3
5 0 0
2 0 3
1 0 1
1 3 3
0 0 4
5 5 4
3 0 3
0 3 5
10 8
1 0 1
0 1 3
0 2 2
0 1 1
3 3 0
0 3 2
1 3 0
0 2 1
2 1 1
1 1 2
10 2
0 2 4
3 1 0
3 2 3
0 3 4
1 4 0
4 1 3
2 4 3
0 3 2
2 4 2
2 2 1
10 9
4 0 2
0 2 2
3 2 1
3 1 4
1 0 0
2 2 0
0 0 4
4 3 0
4 0 1
3 2 4
10 3
4 3 3
3 3 0
1 1 2
2 3 2
0 1 1
4 4 3
0 3 1
1 4 1
3 3 4
0 1 3
10 8
1 0 0
0 0 0
2 2 0
1 2 0
2 1 2
1 2 2
1 0 2
2 1 1
0 0 2
2 1 0
10 5
3 4 3
2 3 3
2 4 1
4 0 1
4 1 4
3 2 3
1 2 0
3 0 2
1 0 1
1 0 3
10 9
0 4 0
1 3 2
2 1 1
0 2 3
4 3 4
3 1 2
4 4 2
4 4 3
4 0 1
4 1 4
10 6
0 2 2
2 1 0
1 1 1
2 2 0
2 0 1
1 0 0
1 0 1
2 0 0
1 1 2
0 0 2
10 7
0 0 3
2 1 2
3 3 0
3 0 0
2 0 3
1 0 3
3 0 2
3 3 3
1 3 3
0 3 1
10 8
2 1 3
3 3 3
2 0 0
0 2 3
1 2 3
0 3 0
0 3 3
2 0 1
2 3 3
1 3 2
10 8
3 1 1
1 3 2
2 3 1
2 2 2
0 1 2
0 0 2
1 1 0
0 2 2
1 0 0
1 1 2
10 9
0 1 2
0 1 3
5 1 0
5 2 4
0 4 5
2 1 2
0 0 2
2 5 4
5 2 3
2 5 5
10 9
2 1 3
1 1 0
0 3 3
3 0 3
3 3 2
0 1 0
1 2 1
0 0 1
2 2 3
0 2 2
10 9
0 2 1
2 1 1
1 2 1
0 2 2
1 1 1
2 2 1
1 0 2
1 0 0
1 2 0
2 0 0
10 2
4 1 2
2 0 4
1 4 1
1 2 4
2 1 4
4 2 3
0 0 1
0 2 4
3 2 1
3 2 3
10 3
2 2 2
2 3 2
4 1 1
0 0 2
3 3 2
4 0 1
4 3 3
4 0 0
1 3 4
4 4 0
10 4
0 0 0
2 2 1
2 2 0
1 1 1
2 1 2
1 1 2
0 0 2
2 1 0
1 2 1
1 2 2
10 3
1 2 0
2 0 0
2 1 0
1 0 2
0 0 2
0 1 0
2 2 0
2 1 1
1 0 0
2 2 2
10 2
2 2 1
2 1 1
2 0 1
2 2 0
0 2 2
1 2 1
1 1 2
1 0 0
2 1 0
1 1 0
10 5
0 1 2
1 0 0
0 2 1
0 1 1
2 0 2
2 1 0
1 1 1
0 0 0
0 2 0
0 1 0
10 6
3 1 1
4 2 1
1 0 4
3 4 1
4 1 2
0 1 2
4 2 2
4 0 1
3 0 3
4 3 1
10 7
2 4 5
3 4 0
0 4 5
4 2 3
4 5 1
2 5 5
5 1 5
3 4 3
1 0 1
4 0 2
10 6
0 1 3
4 1 3
4 4 0
2 4 4
1 1 3
1 1 2
1 0 1
3 2 2
1 0 2
4 4 3
10 4
2 3 3
0 2 3
0 0 0
3 1 3
2 0 1
3 0 0
0 2 0
3 0 2
1 0 1
0 1 1
10 7
3 3 1
2 3 3
0 3 1
1 2 0
0 2 3
0 1 0
3 0 2
2 2 3
0 0 2
3 0 0
10 3
0 1 0
2 0 2
0 2 2
1 1 1
2 1 1
2 2 2
0 0 2
1 2 0
2 1 2
1 0 2
10 9
1 1 1
3 1 0
3 2 2
3 2 1
1 0 0
1 0 3
2 2 3
1 2 0
2 1 3
1 3 1
10 3
0 0 2
0 1 1
1 2 1
1 0 2
0 1 0
1 0 1
2 0 1
0 1 2
1 0 0
1 1 1
10 9
3 1 2
3 0 3
0 2 4
3 2 2
1 3 5
3 0 4
2 3 2
5 3 2
3 1 0
5 0 1
10 8
0 2 0
0 0 3
1 3 1
3 0 1
0 1 0
3 2 3
3 1 3
2 1 2
3 3 3
3 1 1
10 3
0 2 2
2 0 1
1 2 1
2 2 0
2 1 2
0 1 2
2 0 0
1 1 0
0 0 2
1 0 1
10 5
1 3 1
3 2 1
0 2 0
0 1 3
1 2 3
0 0 1
0 3 0
3 3 3
1 1 1
3 1 0
10 8
3 3 3
2 3 3
3 1 1
3 2 3
2 2 2
3 3 2
2 1 3
1 0 2
2 0 3
0 1 2
10 2
0 4 4
1 1 0
4 2 2
2 4 0
2 1 2
0 2 0
4 0 1
2 4 2
1 2 1
4 2 3
10 2
3 3 3
0 3 1
1 3 2
2 0 1
3 3 1
0 3 0
1 0 3
2 1 3
1 1 0
2 3 3
10 5
3 0 1
2 3 3
2 0 0
3 1 3
0 3 1
1 0 0
3 0 3
0 2 3
1 3 0
3 2 0
10 2
0 2 0
1 0 2
2 0 1
1 2 0
1 0 0
2 0 2
0 1 1
1 2 2
1 1 2
0 2 2
10 3
0 2 0
0 4 1
2 2 2
4 1 3
3 4 2
3 2 2
1 2 3
0 0 2
1 3 4
2 2 1
10 9
0 2 4
1 3 1
3 3 2
0 1 4
3 1 1
4 0 4
4 4 4
0 1 1
4 0 3
0 3 0
10 4
0 1 1
1 3 2
0 3 3
2 0 3
3 2 1
1 0 3
0 2 0
0 0 3
1 1 1
2 3 0
10 5
0 0 1
0 2 0
1 1 2
1 0 0
1 2 0
0 2 1
2 0 2
2 2 1
0 2 2
0 0 2
10 3
1 1 1
0 0 2
1 0 0
0 1 1
0 2 1
0 1 2
1 0 2
2 1 2
0 1 0
2 1 1
10 9
1 0 1
1 0 2
0 1 2
1 1 2
1 2 2
2 2 2
0 0 1
2 2 1
2 0 1
2 1 2
10 4
1 1 1
2 1 0
2 1 2
1 2 0
0 2 2
0 1 2
0 0 2
0 2 1
2 0 0
2 2 1
10 6
1 1 3
2 1 2
3 2 0
0 3 0
1 5 0
1 3 0
0 2 2
4 5 3
1 4 1
3 3 1
10 7
2 4 3
0 4 2
2 2 4
1 0 2
0 3 0
0 0 3
0 1 4
3 5 3
4 4 4
5 1 1
10 2
0 0 4
0 0 1
4 3 2
4 1 3
4 4 2
3 4 2
2 3 3
3 1 2
4 4 4
0 1 3
10 8
5 4 5
0 0 0
0 0 5
0 1 1
3 2 3
4 0 2
3 5 0
4 5 5
1 3 0
5 1 2
10 8
1 2 2
0 0 2
2 0 1
2 2 2
2 1 1
1 2 1
0 1 2
0 1 1
1 0 1
2 1 2
10 7
1 4 0
2 2 3
4 0 1
3 3 4
3 4 3
0 0 0
2 4 4
0 0 2
4 1 4
0 2 0
10 7
4 1 1
5 2 0
4 2 2
2 3 3
3 5 2
3 0 5
0 1 1
0 5 4
1 3 2
2 5 5
10 3
5 4 4
4 5 0
1 4 0
3 0 0
3 3 4
3 3 0
0 3 2
5 0 5
3 4 2
5 2 0
10 6
3 1 2
1 0 2
2 3 2
0 0 2
3 3 2
1 3 3
2 1 2
0 3 0
1 0 3
1 0 1
10 8
0 1 1
1 2 1
1 2 0
1 0 1
2 1 1
0 1 0
1 1 1
2 1 2
2 0 1
1 0 2
10 4
2 0 0
1 1 3
3 3 0
2 1 4
4 4 1
2 3 0
0 4 4
2 1 1
0 0 3
2 0 2
10 5
1 2 2
1 0 0
2 3 3
2 3 1
0 3 0
3 0 1
2 2 3
2 0 2
3 1 1
3 3 2
10 8
1 1 2
1 0 0
0 2 0
0 0 0
1 1 1
2 0 1
0 2 1
1 0 2
2 1 2
2 0 2
10 6
1 0 1
0 0 0
0 1 3
2 1 3
1 1 1
3 3 3
3 1 1
2 2 1
2 3 2
0 3 2
10 6
4 3 0
0 3 4
2 1 1
0 2 1
0 3 2
1 0 4
3 1 2
3 0 3
4 3 3
3 2 4
10 9
0 2 2
2 2 0
3 0 2
0 1 3
3 1 3
3 3 2
2 1 3
1 2 0
3 3 3
0 3 0
10 5
2 3 2
0 3 2
1 1 0
3 3 0
0 0 2
2 3 3
1 3 2
3 2 1
1 0 2
3 2 0
10 6
4 3 0
5 3 2
5 2 0
2 2 4
2 1 3
2 5 3
0 4 3
1 3 2
2 3 2
0 4 0
10 8
3 3 3
0 2 3
3 1 2
0 0 1
2 3 3
2 2 3
2 3 0
3 2 1
2 0 2
2 0 3
10 9
1 0 0
2 3 1
3 2 3
0 1 2
3 3 0
0 3 3
0 0 2
2 1 0
3 1 3
3 1 1
10 9
0 2 2
2 3 3
2 3 2
1 2 2
2 1 1
3 1 2
2 2 2
3 3 3
1 3 0
1 2 1
10 3
3 4 5
3 1 2
0 5 0
2 2 5
3 5 3
1 3 0
2 0 5
4 2 1
0 3 0
3 4 4
10 5
1 5 3
2 3 2
1 5 2
0 0 1
1 4 2
5 2 5
3 2 4
1 1 4
0 0 0
4 5 0
10 9
2 0 0
1 3 2
3 0 3
1 2 3
4 3 3
1 0 4
0 2 0
3 2 1
4 1 4
3 4 4
10 5
0 2 0
3 4 1
0 4 5
4 4 5
2 2 2
5 3 4
1 5 2
1 1 0
0 0 5
5 5 1
10 5
5 3 1
5 1 0
2 5 3
1 5 0
0 1 3
4 4 4
0 3 2
4 2 3
3 2 5
0 1 2
10 5
1 3 2
0 1 2
1 2 0
0 0 1
2 0 2
2 1 3
3 1 3
3 0 3
1 3 0
1 2 1
10 6
2 1 2
0 1 2
0 1 1
1 2 0
2 0 2
0 2 1
2 2 2
1 1 0
0 2 2
2 1 1
10 8
2 2 3
3 2 3
2 1 0
1 0 0
3 1 3
2 3 3
1 1 0
2 3 0
1 0 3
3 3 3
10 6
3 3 0
1 4 2
0 2 3
2 1 5
1 2 5
1 5 2
4 4 3
4 4 2
0 3 0
1 3 2
10 8
2 3 2
0 0 3
1 2 1
2 1 3
0 2 2
0 0 0
3 0 1
1 1 2
1 1 0
1 0 3
10 2
2 5 4
4 4 2
2 0 3
3 1 5
5 4 0
5 1 5
5 5 1
0 3 5
1 2 5
1 4 1
10 8
4 2 2
4 4 4
2 2 0
3 1 3
1 2 3
2 3 0
2 0 1
0 1 4
3 0 3
1 0 2
10 5
0 0 0
2 3 1
3 0 2
2 2 3
0 1 0
0 1 3
0 0 1
2 1 0
1 1 1
3 1 2
10 3
0 2 3
1 4 1
0 3 4
0 1 0
1 0 2
1 0 4
4 2 2
1 1 4
4 0 3
3 4 4
10 8
3 1 1
4 2 0
4 1 2
4 0 3
3 4 1
4 0 0
2 4 1
1 3 4
1 1 3
4 2 1
10 5
2 0 0
2 0 1
1 0 0
0 2 2
1 0 2
0 1 1
2 2 0
1 1 0
1 1 2
1 2 1
10 7
2 1 3
2 0 2
1 4 3
1 3 2
1 0 1
1 2 4
1 0 2
3 1 0
2 2 2
2 2 3
10 8
2 1 2
1 3 0
1 4 2
1 2 1
4 0 4
4 2 2
3 0 0
3 1 4
3 4 3
3 0 2
10 8
1 2 2
3 4 0
3 1 4
0 3 0
2 2 4
0 1 0
4 2 1
2 3 1
0 1 1
0 2 4
10 8
2 5 2
1 3 4
4 1 2
1 0 3
0 5 3
5 5 0
1 2 5
5 2 5
5 4 2
4 4 4
10 3
2 2 2
4 0 1
2 4 0
4 4 1
2 4 1
0 4 3
0 1 2
0 2 3
3 0 2
3 1 0
10 5
2 3 0
4 3 2
0 0 2
3 5 3
5 2 0
5 0 3
3 1 3
0 4 0
3 3 0
2 2 2
10 7
1 1 1
0 1 3
1 3 1
1 1 0
1 2 2
1 1 2
3 0 1
0 1 1
1 0 1
1 3 3
10 6
4 2 0
2 2 1
4 4 2
0 2 2
1 4 2
2 4 3
0 1 4
3 2 0
4 0 1
1 3 2
10 5
2 1 4
3 0 2
0 2 4
3 1 2
1 0 1
1 4 4
2 1 0
2 3 0
3 0 1
4 3 3
10 9
2 0 1
2 2 0
2 0 0
2 0 2
1 0 1
2 1 0
0 0 2
0 2 1
0 1 0
1 2 0
10 9
1 3 0
2 0 2
3 2 3
0 0 2
0 3 0
2 0 1
0 2 2
1 0 0
1 1 2
1 2 0
10 9
0 1 0
0 2 2
2 0 1
1 0 0
2 1 1
2 1 0
1 1 0
1 2 0
1 2 2
0 1 1
10 2
1 1 3
0 1 3
0 2 1
3 0 0
1 0 2
2 3 0
1 2 3
2 0 1
1 1 2
3 2 0
10 7
0 0 3
3 0 1
3 1 0
2 0 0
3 1 2
3 3 0
2 2 2
3 0 3
2 2 0
3 0 0
10 9
3 2 0
2 3 0
2 4 3
2 4 4
1 3 1
3 0 3
3 2 3
0 0 4
3 3 1
2 4 1
10 4
1 1 3
4 2 1
1 0 3
3 4 1
4 3 2
0 1 4
1 0 2
2 1 3
1 0 1
2 4 1
10 3
2 3 4
1 0 3
3 2 2
1 2 0
3 0 1
2 0 4
0 1 3
0 2 2
4 4 1
1 4 1
10 2
3 0 2
2 2 3
4 3 3
4 4 3
0 4 1
2 2 0
0 4 0
0 2 1
2 1 1
3 2 2
10 5
0 1 4
4 4 5
5 5 5
1 4 4
0 2 2
4 1 4
5 1 4
3 3 0
4 2 0
1 1 0
10 5
0 2 0
1 2 3
1 3 4
4 3 3
0 2 2
3 3 3
3 3 4
4 2 4
3 4 4
3 4 2
10 2
0 0 1
2 2 1
0 1 1
2 0 3
2 1 2
2 0 1
1 1 2
3 1 3
0 1 3
3 0 0
10 9
3 2 3
0 0 1
3 4 4
1 4 1
4 4 4
4 2 0
2 2 1
0 1 2
4 3 3
3 3 1
10 6
2 2 1
1 0 2
0 3 3
1 0 1
3 1 1
1 3 2
3 1 2
2 1 0
3 1 0
2 3 0
10 8
5 3 1
1 4 3
3 0 0
5 3 3
1 2 1
3 0 3
4 5 4
0 3 3
4 1 1
2 2 3
10 2
0 5 5
3 2 2
2 0 5
5 2 2
5 4 4
2 0 3
0 0 2
5 0 4
5 5 5
2 3 2
10 7
3 0 3
0 1 0
5 0 4
4 0 0
0 2 5
1 1 1
2 3 2
1 1 3
2 5 1
5 5 0
10 6
2 0 0
2 3 3
1 0 0
0 1 3
3 2 0
3 1 1
0 2 1
3 2 2
1 1 3
1 3 0
10 5
5 3 0
4 4 2
0 0 5
5 1 4
4 1 3
1 2 4
4 2 1
0 4 5
1 3 5
1 4 5
10 9
1 3 0
1 1 1
1 0 3
3 1 2
2 2 2
3 2 2
0 0 0
2 1 3
3 2 1
1 0 2
10 6
3 1 4
2 1 1
3 0 1
0 0 1
2 4 3
3 4 1
3 1 1
2 3 1
3 0 4
0 4 4
10 9
1 2 1
3 0 3
3 2 0
3 3 2
1 0 2
3 3 0
0 0 2
0 2 0
0 1 3
2 1 1
10 5
2 3 4
3 4 0
2 0 2
1 0 4
3 4 2
0 1 1
3 1 0
0 3 2
2 0 4
0 0 2
10 6
2 4 2
2 3 3
4 0 4
2 1 0
3 1 1
0 4 0
2 3 0
3 4 4
2 0 4
1 3 1
10 3
0 1 4
4 0 3
4 0 4
1 0 1
1 4 0
2 4 2
2 4 0
0 4 2
3 3 2
4 1 3
10 8
1 2 3
3 5 3
4 5 3
2 2 1
3 4 0
2 2 0
4 2 1
5 0 4
2 1 5
4 0 1
10 2
1 1 1
3 3 0
3 1 2
0 0 1
3 0 4
3 2 0
0 4 1
2 2 4
1 3 0
0 2 2
10 2
3 1 5
3 1 4
3 0 1
4 0 5
2 5 5
2 3 2
2 3 0
3 2 1
3 5 5
3 3 4
10 8
1 0 0
2 2 0
0 1 2
0 1 0
0 2 2
2 2 2
1 2 0
2 0 2
2 1 1
1 1 1
10 8
1 1 2
2 1 1
1 0 0
2 1 2
0 2 0
1 2 2
2 0 2
0 0 2
2 0 1
1 0 1
10 9
1 2 2
2 1 3
0 1 1
3 3 2
0 0 3
3 2 3
1 1 0
2 2 0
2 2 1
2 2 2
10 6
1 0 1
1 1 0
0 1 0
2 0 2
2 0 1
2 1 0
2 1 1
0 2 0
2 2 0
0 0 0
10 5
0 0 1
1 0 2
1 2 1
2 2 1
0 2 0
0 0 2
1 1 2
2 0 0
2 1 1
2 0 2
10 6
1 1 0
0 0 2
3 1 1
0 0 0
0 1 2
0 3 1
2 0 3
2 1 2
0 3 0
2 1 0
10 6
0 1 2
0 0 2
0 1 0
0 2 1
1 0 2
2 0 2
0 0 0
1 0 0
2 1 1
2 1 0
10 9
3 3 2
2 2 4
3 1 0
1 1 5
5 3 0
3 5 1
2 5 0
2 5 1
5 5 4
2 0 2
10 7
1 1 0
2 1 1
2 0 1
1 2 0
0 1 0
0 2 1
2 1 2
2 2 0
1 0 1
0 1 2
10 4
3 2 0
1 1 0
2 3 4
1 2 4
4 4 3
0 0 2
4 0 3
0 3 4
1 0 3
3 2 1
10 6
0 0 0
1 1 2
2 3 2
2 3 3
3 3 3
3 0 1
0 1 2
1 2 2
1 0 0
2 1 2
10 3
2 3 0
5 1 2
3 3 1
2 0 5
1 1 5
2 1 3
3 2 2
1 3 3
0 1 3
3 3 4
10 5
0 1 0
0 0 1
1 2 1
0 2 2
2 0 1
2 0 2
1 2 0
1 1 2
1 0 0
0 2 0
10 7
0 3 0
3 3 1
2 3 3
1 0 2
2 2 0
0 3 1
2 5 2
0 4 0
4 5 0
0 2 5
10 5
4 4 1
0 2 4
0 1 4
0 5 4
3 4 2
0 2 1
0 2 2
3 2 5
3 4 1
5 4 1
10 3
4 2 0
2 5 4
0 2 2
0 0 1
0 3 1
1 3 3
3 4 1
1 0 2
0 3 4
5 4 3
10 8
4 3 0
4 0 2
0 5 5
0 1 1
0 1 2
0 5 1
5 5 0
4 4 2
1 0 2
3 3 0
10 9
2 4 4
2 3 0
4 1 2
2 0 1
4 3 0
1 4 3
0 0 3
4 1 4
3 2 0
2 1 0
10 7
1 2 1
1 1 2
1 1 0
0 1 0
2 0 0
0 1 2
0 0 1
2 2 2
0 0 0
1 0 1
10 6
0 0 2
1 0 1
1 1 0
2 0 0
0 1 2
0 2 0
2 2 0
0 0 1
1 2 0
2 1 2
10 5
3 2 0
3 2 1
3 3 2
3 3 0
2 1 2
2 3 2
1 1 2
3 0 1
1 1 3
1 0 2
10 2
0 2 2
0 5 5
3 0 1
5 0 0
2 5 1
0 5 1
4 0 0
3 2 0
1 5 1
3 0 3
10 4
2 3 0
1 2 1
2 2 0
3 1 1
0 0 1
1 2 2
2 2 1
3 1 3
3 2 3
3 0 0
10 6
2 2 5
4 1 4
4 2 2
1 1 2
4 2 0
1 1 5
2 5 1
2 0 3
5 4 5
3 0 4
10 6
2 3 2
3 0 0
2 3 1
3 3 4
0 3 2
2 0 2
1 0 1
1 4 2
1 2 1
0 1 0
10 3
3 1 1
2 2 2
0 3 3
3 2 0
2 0 0
2 1 0
3 2 2
3 3 1
0 3 2
2 3 3
10 9
3 3 0
3 0 3
2 1 2
3 2 2
1 2 0
2 0 3
2 1 3
0 3 0
0 2 2
1 3 0
10 9
1 1 1
0 2 2
0 0 2
1 2 1
1 0 1
1 0 0
2 0 1
0 1 2
1 1 2
2 1 0
10 8
3 2 1
2 1 3
0 1 1
1 0 3
1 2 1
0 2 2
3 2 2
3 0 3
0 0 3
1 0 0
10 7
3 3 0
3 1 1
0 1 1
2 3 2
0 2 0
0 0 0
3 0 2
3 2 2
1 3 3
2 0 0
10 5
1 2 2
2 2 1
0 1 2
0 0 0
1 0 0
2 1 2
2 0 1
1 2 1
2 2 2
0 2 0
10 3
2 2 2
1 2 1
0 2 0
0 2 1
0 1 2
1 1 0
1 2 2
1 0 1
2 1 0
2 0 2
10 2
1 3 1
3 1 2
0 1 1
2 2 1
0 1 2
1 3 2
1 1 1
3 2 2
3 3 2
0 3 3
10 7
2 2 5
4 5 4
1 0 3
1 2 5
0 1 4
4 5 5
3 2 4
0 1 0
3 5 2
5 5 5
10 2
0 1 2
2 0 0
2 1 2
1 2 0
2 2 2
0 2 1
1 1 1
1 1 2
1 0 1
1 2 1
10 4
1 0 2
1 1 0
0 0 0
0 1 0
2 0 2
0 1 1
0 2 0
1 1 1
2 2 1
2 1 1
10 3
0 3 2
2 2 1
2 3 0
3 0 2
0 2 3
0 2 0
1 1 2
3 1 1
3 3 3
2 3 2
10 9
4 4 4
4 1 4
5 2 3
1 3 1
4 3 2
0 2 4
1 1 4
2 3 5
1 4 2
1 1 2
10 5
1 0 2
0 1 0
1 2 1
2 1 2
0 2 0
0 0 0
2 2 2
2 0 1
2 2 1
1 2 0
10 6
0 2 0
2 3 1
0 1 2
3 0 1
2 2 0
2 1 2
1 1 0
0 3 2
0 0 3
2 3 3
10 6
3 1 2
0 2 0
0 3 1
1 3 0
3 0 1
2 3 0
2 1 3
0 2 1
1 2 0
2 3 1
10 9
3 3 1
1 3 2
1 3 1
4 4 0
3 1 4
1 5 2
2 1 3
1 1 4
5 3 5
1 0 2
10 5
0 0 2
1 0 1
1 1 2
1 2 1
1 0 0
0 2 2
1 2 2
1 1 1
0 0 1
0 1 0
10 3
1 2 0
2 0 0
2 0 2
1 0 0
0 1 2
1 1 1
0 0 1
0 2 2
1 2 2
1 0 2
10 3
2 2 4
0 4 3
0 4 5
2 2 5
2 0 5
4 1 0
0 2 2
3 0 5
3 1 3
2 5 1
10 3
0 0 2
2 0 2
1 0 0
1 1 0
2 2 0
2 1 0
1 0 2
1 2 2
0 0 1
0 0 0
10 4
0 2 0
1 2 2
1 0 0
0 1 2
2 0 0
2 0 1
1 2 1
0 0 2
0 2 2
2 1 0
10 2
1 3 0
2 1 0
2 2 1
1 1 2
1 1 0
1 2 2
2 0 3
3 2 1
0 3 2
0 1 1
10 8
2 2 1
3 3 0
2 2 2
3 0 1
1 2 0
3 2 0
3 1 0
2 0 0
2 1 0
1 2 3
10 9
2 1 1
1 1 1
0 0 2
0 2 1
1 0 1
1 1 2
1 2 0
0 1 2
2 2 1
0 0 1
10 8
3 2 2
1 2 1
1 1 0
0 0 1
1 2 0
3 2 3
2 0 0
3 2 1
1 0 0
2 1 3
10 2
2 1 2
2 0 0
2 1 1
2 1 0
0 1 1
1 1 1
1 0 0
0 2 2
1 1 2
1 0 1
10 6
3 0 2
3 1 2
3 2 1
0 0 2
0 2 1
2 0 3
3 2 3
2 1 2
3 3 0
2 2 2
10 6
3 1 0
2 2 0
3 2 2
1 3 1
3 0 2
1 0 2
0 2 2
3 1 1
2 3 3
1 2 1
10 8
1 1 2
1 3 1
3 3 3
0 2 3
2 1 2
0 3 0
2 0 0
0 2 0
2 3 2
2 0 3
10 8
1 0 2
3 2 3
3 1 2
3 0 2
2 1 2
1 1 1
1 2 3
3 0 1
1 1 0
0 0 2
10 5
3 0 3
5 2 1
1 0 1
0 5 4
5 1 0
1 0 0
2 3 4
3 4 0
5 3 2
4 0 4
10 3
2 1 2
3 1 1
2 2 0
1 0 3
3 0 2
0 1 0
1 3 2
3 0 1
3 3 1
2 0 0
10 6
2 2 0
0 2 1
0 1 2
2 1 2
1 0 1
2 1 1
2 2 1
0 2 2
1 2 1
0 0 1
10 7
1 2 2
0 1 0
1 1 0
1 0 2
1 2 0
2 2 0
0 0 0
0 2 1
1 1 2
0 0 1
10 7
3 1 2
1 0 0
3 5 0
5 1 5
3 3 5
5 0 3
2 3 3
0 1 2
1 0 4
2 1 5
10 5
1 0 2
1 1 2
1 1 1
2 2 0
0 1 0
2 0 1
1 1 0
1 2 0
2 1 0
1 0 1
10 9
1 0 4
3 5 1
5 2 4
5 3 4
4 5 4
1 1 3
2 2 0
2 2 4
4 3 3
4 0 5
10 5
1 0 3
1 1 3
2 2 0
4 0 1
1 2 1
3 1 2
0 2 2
1 3 4
1 4 1
3 0 4
10 9
0 2 0
2 2 4
4 0 5
5 2 0
5 1 5
4 1 3
0 2 2
2 0 1
2 3 0
3 1 0
10 3
1 1 2
1 1 1
0 2 2
0 0 2
1 2 2
2 0 1
1 0 0
0 2 1
1 0 2
1 1 0
10 3
2 2 5
4 2 0
3 4 2
5 3 2
5 5 0
3 4 3
5 2 2
1 5 4
0 0 4
4 3 0
10 2
2 4 2
3 0 1
1 1 3
4 4 4
1 3 1
2 0 1
2 4 3
0 4 4
3 1 3
0 4 0
10 2
1 1 0
0 1 0
1 2 2
1 2 0
0 2 0
2 2 1
0 2 1
0 2 2
1 1 2
2 0 2
10 8
0 1 2
0 2 2
0 1 0
0 2 0
2 1 1
1 0 0
2 1 2
0 0 2
2 2 0
2 2 1
10 2
0 1 2
0 0 2
1 1 1
0 1 1
2 1 1
1 2 2
1 0 1
2 0 1
2 2 1
0 2 0
10 3
3 0 0
3 3 1
2 1 1
0 2 1
3 2 3
3 0 2
2 3 0
2 3 1
0 3 1
0 2 0
10 4
3 3 2
0 0 2
3 1 2
1 2 0
2 1 0
0 2 0
3 0 2
2 0 0
1 1 1
3 1 1
10 2
0 2 1
1 0 0
0 0 2
0 1 1
1 2 2
2 2 2
2 1 2
0 2 0
2 0 0
1 2 0
10 7
2 2 2
2 0 0
0 0 3
3 1 2
3 3 0
1 2 3
0 3 3
2 1 0
2 0 2
1 0 1
10 6
3 0 1
0 0 3
3 3 0
2 3 2
3 1 1
3 2 0
1 2 1
0 1 2
3 0 3
3 0 0
10 6
3 3 2
3 3 3
3 2 0
1 2 2
1 0 3
2 1 1
0 0 1
1 1 1
1 3 3
0 0 2
10 5
0 0 1
2 2 1
2 0 3
3 1 0
4 0 0
1 1 2
1 3 4
1 3 0
0 4 4
4 1 1
10 6
0 1 0
1 1 1
3 0 1
1 0 2
0 1 2
2 4 0
2 3 3
4 3 0
1 2 2
2 0 4
10 2
1 0 0
2 1 0
0 2 2
2 0 1
2 2 1
1 2 2
2 0 0
1 0 1
2 2 0
0 2 0
10 2
0 3 1
2 3 2
3 1 1
1 0 3
0 3 2
2 3 0
3 2 0
3 2 3
1 0 0
1 2 0
10 2
2 1 0
0 2 0
2 0 0
2 2 1
0 2 2
1 1 0
0 0 0
2 1 2
0 1 0
0 1 1
10 6
1 2 0
1 3 1
0 1 1
1 3 3
3 3 1
2 3 2
0 0 2
1 0 3
3 3 0
2 0 0
10 7
0 1 1
0 1 2
1 2 1
2 0 0
1 1 2
0 2 0
0 0 0
0 0 1
0 0 2
2 2 1
10 9
2 4 5
0 4 2
2 4 4
4 4 2
2 4 3
2 2 1
1 3 2
4 5 4
0 3 0
3 4 5
10 3
2 2 2
0 2 2
1 2 0
0 2 1
1 1 1
2 0 0
2 0 1
1 1 0
0 0 2
2 2 1
10 9
1 0 0
4 4 4
1 4 2
4 1 0
0 4 1
2 1 4
3 4 4
1 0 4
0 2 4
3 4 3
10 6
1 0 0
0 0 5
1 1 5
4 1 1
3 4 1
0 5 4
4 4 3
5 3 1
4 1 0
2 0 3
10 4
5 2 5
4 4 3
4 0 5
1 0 2
4 2 2
3 2 1
3 5 2
5 3 3
2 5 2
5 0 0
10 4
1 1 1
0 0 2
1 1 0
2 0 1
0 2 1
1 1 2
2 1 0
1 2 2
0 2 0
0 1 1
10 5
1 0 0
1 1 3
0 3 2
1 1 1
0 1 0
2 1 2
2 2 3
2 3 1
0 2 0
3 3 3
10 3
0 2 0
1 0 0
2 2 1
0 1 2
1 0 1
1 1 0
1 0 2
0 1 0
2 1 0
2 0 1
10 9
1 1 2
1 2 0
2 0 1
2 1 0
2 2 1
0 0 1
0 0 2
0 1 1
2 2 2
1 1 1
10 8
4 0 1
1 3 1
0 1 0
1 0 0
4 3 0
4 1 2
3 2 0
4 4 4
1 3 4
0 3 2
10 4
4 1 4
4 3 1
0 0 5
2 1 2
5 0 3
5 1 2
3 4 2
1 5 3
3 1 3
0 2 5
10 6
3 2 3
2 3 0
3 3 3
1 2 2
3 2 2
3 1 1
1 3 3
1 1 0
3 0 3
1 2 3
10 8
2 0 1
0 2 3
3 0 2
4 4 0
1 0 1
4 3 2
2 4 0
4 1 4
4 0 0
3 3 2
10 3
2 2 1
1 1 2
2 0 1
1 2 0
2 1 1
0 2 0
2 0 2
2 0 0
0 2 2
0 0 1
10 2
0 2 1
2 1 1
0 4 0
4 5 1
2 1 4
1 5 0
3 2 0
2 4 2
3 3 1
0 0 0
10 9
2 3 3
2 0 1
3 3 2
3 3 3
1 0 2
3 3 0
2 3 1
2 1 2
0 3 1
2 2 0
10 2
0 3 5
0 2 3
4 1 2
4 3 3
4 4 1
0 0 4
1 1 4
3 2 0
2 2 4
3 3 0
10 8
2 3 2
2 2 3
1 2 2
1 3 1
3 1 3
3 1 2
0 2 1
0 2 3
0 1 0
1 1 0
10 2
0 4 1
3 3 0
3 1 4
1 1 4
3 3 1
0 4 3
2 4 1
4 0 0
2 4 2
0 3 4
10 6
3 1 1
0 1 0
2 1 1
1 3 3
3 2 2
1 1 0
0 2 3
2 2 3
0 1 2
0 3 1
10 9
0 4 1
2 1 0
2 3 1
1 1 4
3 4 2
0 0 0
2 4 4
3 0 0
1 1 0
0 4 4
10 3
1 2 0
0 2 0
1 1 3
0 0 2
2 0 3
3 3 0
2 0 2
0 0 0
3 1 2
2 1 2
10 4
5 1 1
5 2 2
5 4 2
3 2 5
5 2 0
1 0 2
5 4 1
5 5 3
3 3 2
5 5 5
10 4
1 1 0
0 2 1
0 0 0
2 0 0
0 1 2
0 0 2
1 2 1
2 0 2
2 0 1
0 1 1
10 9
2 0 2
0 1 2
1 2 1
1 0 2
0 2 0
1 2 2
0 1 0
1 0 1
2 2 1
1 1 0
10 7
3 0 2
3 1 0
3 1 3
3 4 0
1 3 2
2 2 3
0 3 3
2 1 2
2 3 1
3 1 1
10 7
2 0 2
1 0 1
0 0 1
0 1 0
1 1 2
2 1 0
1 0 0
1 1 1
0 2 0
0 0 0
10 7
4 4 3
3 0 4
1 1 0
0 3 3
3 1 4
4 2 3
4 2 0
1 0 4
3 3 4
1 3 1
10 4
1 3 1
3 3 2
1 0 1
2 1 1
0 0 0
2 3 0
1 3 2
1 0 0
2 1 3
1 1 2
10 4
4 3 0
3 5 2
4 0 5
4 0 4
5 5 3
1 1 1
1 3 4
4 1 2
5 3 0
0 0 5
10 6
3 1 1
1 3 2
0 2 0
1 0 1
0 0 3
3 0 1
0 3 0
3 2 0
2 1 1
3 2 2
10 4
0 5 1
3 5 5
3 1 1
5 4 3
5 3 3
3 5 3
1 4 4
0 2 0
2 0 3
5 5 0
10 5
3 2 3
1 2 3
1 0 2
2 0 1
3 1 3
1 1 0
2 2 1
0 0 1
1 3 3
1 1 1
10 4
0 3 3
1 3 4
0 3 2
3 2 4
2 4 0
2 2 0
1 4 0
2 1 4
0 2 0
1 2 0
10 4
1 2 1
0 2 3
2 4 1
1 4 0
4 3 1
2 4 3
0 1 4
0 1 2
4 1 3
1 3 3
10 6
0 0 2
4 2 3
4 1 1
2 2 3
3 0 0
2 1 4
3 4 4
4 3 4
1 0 3
3 1 0
10 3
4 1 5
4 2 3
3 3 0
1 5 4
5 5 4
4 5 4
0 5 4
5 2 5
1 4 4
0 0 0
10 2
0 0 0
0 1 2
2 1 1
1 2 0
0 2 1
2 1 2
2 2 2
1 1 1
0 1 0
1 0 2
10 8
2 1 3
2 5 2
3 2 4
4 5 5
4 2 4
4 2 3
2 5 0
0 4 3
3 0 1
3 5 4
10 6
2 0 1
1 0 0
1 2 1
2 2 1
0 2 2
0 0 2
1 1 1
0 1 2
1 1 0
2 0 2
10 2
4 0 2
0 4 2
0 2 4
2 1 0
0 0 0
4 2 2
3 4 3
1 1 2
4 0 3
2 4 1
10 6
2 1 2
0 0 3
0 2 0
3 3 3
4 3 1
2 0 2
2 2 0
4 0 0
3 3 2
0 3 1
10 5
2 0 2
1 1 0
4 4 3
3 2 3
0 0 2
5 3 3
4 4 1
2 3 0
0 3 1
5 1 1
10 9
2 0 1
2 0 3
3 3 4
4 3 1
1 4 1
0 2 2
0 5 3
4 0 2
1 1 4
1 2 1
10 5
1 4 2
2 4 1
3 2 1
4 1 2
4 2 2
1 2 4
4 1 0
1 0 1
0 0 1
1 0 0
10 3
5 5 0
2 5 0
1 5 2
0 5 0
3 2 5
0 2 0
5 1 4
3 0 4
5 5 3
5 2 4
10 4
5 0 2
3 4 4
5 1 5
1 2 3
5 0 3
4 0 4
2 2 1
0 2 2
1 3 2
4 5 0
10 9
0 0 3
1 0 2
3 1 1
3 2 1
0 3 1
2 3 0
2 0 3
2 1 1
2 1 0
3 3 3
10 3
5 0 4
1 4 2
5 1 2
4 5 2
5 2 4
4 4 1
1 1 1
1 0 4
1 2 4
0 3 0
10 9
0 2 2
1 1 0
2 2 1
1 1 1
1 2 1
0 0 0
0 2 1
2 1 0
1 1 2
0 1 0
10 5
2 2 0
2 0 1
0 2 1
1 1 0
0 0 0
0 1 0
0 0 1
0 1 1
2 2 1
1 1 2
10 8
1 1 3
3 1 0
3 1 2
3 0 1
1 3 1
3 3 2
3 2 2
2 3 2
1 0 1
2 0 1
10 4
2 0 3
0 3 2
2 1 1
3 3 1
0 3 0
1 2 1
2 1 3
2 0 1
1 0 0
0 3 3
10 7
0 1 0
0 0 0
0 0 3
2 3 2
0 0 2
1 0 2
2 0 2
1 0 3
1 1 1
0 1 1
10 3
0 0 0
0 1 0
0 1 1
0 1 2
2 2 0
1 0 2
2 0 1
2 1 1
1 2 1
1 1 1
10 2
3 0 1
1 2 1
3 2 0
2 2 2
1 3 1
2 0 1
2 2 1
3 3 1
3 3 3
2 1 3
10 4
3 2 1
1 1 4
0 0 3
0 1 2
3 2 2
4 1 3
4 4 4
4 2 2
2 1 0
3 3 3
10 7
1 2 1
0 3 3
1 2 3
1 0 2
3 1 3
0 2 3
3 0 1
2 0 1
2 3 2
1 0 1
10 7
0 0 2
3 2 1
3 1 0
2 1 2
1 0 0
0 1 2
1 3 3
2 1 3
2 0 3
2 2 1
10 8
3 2 0
4 5 2
3 3 0
3 2 5
5 5 3
0 2 0
2 0 1
0 0 0
2 1 4
5 3 3
10 2
4 4 4
4 4 0
4 0 2
1 1 0
0 3 4
0 0 4
2 2 4
1 3 1
4 2 3
3 2 2
10 9
3 0 1
4 4 2
1 3 0
4 4 4
2 0 3
4 4 0
0 4 1
3 3 1
0 0 2
2 4 1
10 6
0 3 2
1 1 0
0 0 3
3 2 3
1 3 2
0 3 1
3 1 3
0 0 1
1 2 0
0 2 1
10 3
1 3 4
5 0 1
0 0 2
3 1 0
5 0 2
5 3 5
3 4 1
3 3 5
0 1 3
5 4 5
10 9
3 3 5
0 3 1
0 0 4
4 5 1
3 1 1
1 0 3
5 4 1
2 1 1
2 3 2
0 1 4
10 2
4 4 3
4 1 2
0 4 1
5 2 3
5 5 4
5 1 0
5 4 5
3 5 4
1 4 1
2 5 1
10 5
1 4 3
1 1 4
4 2 4
4 0 4
1 0 1
0 0 1
3 3 2
1 3 0
1 3 2
0 2 1
10 8
5 1 5
4 5 4
2 3 1
4 4 5
3 1 0
5 2 2
4 0 3
1 4 3
2 3 4
5 5 1
10 2
0 2 0
0 2 2
1 2 0
2 1 1
1 2 2
1 0 2
2 0 0
2 1 2
1 1 1
1 0 1
10 2
1 1 3
2 2 1
3 2 1
3 2 3
3 1 2
1 2 2
3 0 0
1 1 1
0 0 3
2 0 1
10 2
2 3 0
0 2 2
1 4 4
0 2 1
4 3 1
4 0 4
3 2 3
4 4 0
2 1 1
2 0 0
10 7
4 5 4
5 2 1
2 4 5
4 1 1
1 4 4
2 2 0
4 3 1
4 5 5
5 0 4
1 2 1
10 5
2 3 3
2 2 0
1 0 2
1 3 1
1 0 1
1 0 3
3 1 1
3 2 3
0 1 1
2 2 1
10 5
0 3 0
2 0 0
0 0 4
1 4 4
2 1 0
4 4 0
4 3 1
2 3 1
1 4 1
3 2 2
10 5
2 3 2
0 3 2
4 3 1
0 5 2
2 1 4
4 5 2
2 0 2
3 0 0
2 4 1
0 0 2
10 7
3 2 1
1 2 0
3 0 2
1 1 2
0 3 1
3 1 1
2 2 2
0 0 0
3 0 1
1 0 0
10 6
3 1 3
2 4 4
0 2 2
0 2 1
4 1 0
4 4 0
4 0 3
1 4 3
3 4 3
1 1 4
10 3
0 1 0
2 1 4
3 2 1
4 3 1
2 4 2
3 1 1
2 3 1
4 2 1
4 3 4
2 2 2
10 2
2 0 0
2 2 1
2 2 2
2 1 2
1 1 0
2 0 1
1 2 2
0 1 2
2 1 1
1 0 1
10 5
2 1 2
0 1 2
1 2 2
2 2 0
0 0 1
2 2 2
2 0 0
1 1 2
2 0 2
0 2 1
10 3
4 5 0
1 4 5
3 1 4
3 2 5
2 3 5
5 3 4
5 5 0
3 4 2
0 4 2
5 0 1
10 9
2 1 5
2 2 5
3 0 4
5 3 3
2 4 3
5 1 2
3 1 2
2 1 3
5 1 0
0 5 5
10 8
1 3 3
3 4 1
1 4 3
4 0 1
2 2 1
4 4 2
2 0 2
1 3 0
3 2 4
0 0 0
10 4
2 4 2
3 3 3
2 3 4
2 2 2
1 2 4
0 2 4
2 3 0
2 0 2
2 1 0
4 0 1
10 4
4 2 2
2 3 4
1 1 3
4 2 3
1 4 4
3 4 2
1 0 0
3 3 1
1 0 2
0 0 3
10 8
3 0 4
3 1 1
0 1 3
2 1 2
1 2 2
2 3 4
2 2 2
4 2 4
2 4 4
2 1 4
10 5
0 3 1
1 4 5
1 1 4
4 2 4
4 1 4
5 3 5
1 2 3
1 4 4
0 2 4
4 0 5
10 3
1 1 0
2 0 0
1 0 0
1 1 1
1 2 1
1 0 1
1 1 2
2 0 2
2 2 2
0 2 1
10 2
2 1 1
3 2 1
1 2 1
1 4 3
3 2 4
2 4 3
2 2 2
1 1 1
1 0 2
3 1 4
10 5
1 0 2
0 0 0
2 0 0
3 2 4
2 2 4
4 1 3
2 2 3
2 0 2
2 1 3
2 1 2
10 4
2 3 1
2 3 0
4 1 1
4 3 2
4 2 4
2 0 1
0 2 3
0 3 1
2 0 3
0 0 1
10 7
2 0 4
3 2 4
2 0 3
4 3 1
4 4 0
1 4 0
1 3 1
0 2 2
2 4 3
4 3 2
10 7
3 3 1
1 1 3
2 2 0
0 1 3
3 0 3
3 0 0
0 2 3
0 1 2
0 2 1
3 2 2
10 8
4 5 0
5 5 3
5 1 0
4 3 0
1 3 4
4 4 4
4 2 4
0 1 0
1 4 3
0 4 2
10 5
0 2 0
1 2 0
0 2 2
0 2 1
2 1 2
1 0 2
0 0 2
1 0 0
1 1 2
0 1 0
10 5
0 3 2
3 0 0
1 3 0
4 3 0
1 1 4
0 4 3
0 3 4
1 4 3
0 2 3
2 0 0
10 2
2 2 0
2 2 1
2 1 0
1 1 0
1 2 0
0 2 1
0 1 0
0 2 0
1 0 1
0 1 2
10 9
4 5 5
5 2 5
1 4 0
1 2 0
1 5 4
1 0 4
0 3 0
3 5 3
4 2 0
0 3 3
10 5
2 1 0
0 0 0
3 0 3
3 1 3
1 0 0
0 3 1
1 3 1
3 2 3
2 1 2
1 2 0
10 8
4 3 4
2 0 1
2 3 4
4 0 4
2 0 5
5 2 3
0 2 1
2 5 5
0 3 5
1 5 4
10 9
0 1 0
0 4 0
3 0 0
0 1 4
2 0 4
2 2 4
3 4 2
1 2 2
2 0 2
1 2 1
10 4
0 1 1
1 0 2
2 2 2
1 2 0
1 0 1
1 0 0
1 1 2
0 2 1
0 2 0
2 1 1
10 2
2 2 1
2 0 0
0 1 2
2 0 1
1 0 1
0 2 0
2 1 1
2 2 2
0 0 0
1 1 0
10 9
0 0 2
0 4 2
3 3 2
2 2 2
4 4 2
3 0 4
4 4 4
1 0 3
0 1 1
3 1 3
10 9
1 1 1
1 1 0
1 1 2
0 1 2
1 0 0
1 2 1
2 2 1
2 1 0
0 0 0
0 1 0
10 9
1 3 1
1 0 1
3 1 0
1 2 1
0 1 3
2 1 1
2 2 0
0 1 1
3 0 0
1 1 3
10 4
2 2 2
1 2 2
2 2 0
0 0 3
1 1 1
2 4 0
2 3 2
2 0 4
2 3 1
0 4 3
10 6
1 4 2
4 2 3
4 3 3
5 0 0
4 5 5
5 5 2
0 5 2
4 5 3
4 5 4
3 3 5
10 3
3 1 5
5 0 0
0 2 0
0 3 0
4 5 1
1 1 2
0 1 2
4 1 2
2 1 0
4 1 5
10 6
2 3 2
2 1 4
3 0 1
1 0 2
2 4 0
2 2 5
1 1 4
3 1 2
4 4 4
4 4 1
10 2
0 0 0
1 2 0
1 0 0
0 0 2
1 2 1
1 1 0
2 0 1
2 0 2
1 1 1
0 1 0
10 2
0 3 4
5 0 4
1 2 4
3 1 3
4 2 1
5 3 1
3 4 2
5 2 5
3 0 2
1 4 2
10 6
2 0 3
0 0 0
2 2 0
3 2 2
1 1 3
1 3 2
1 0 3
3 0 3
3 0 0
3 3 2
10 5
4 5 2
3 1 2
0 1 4
0 3 2
3 5 5
2 3 3
5 4 0
0 1 0
1 2 0
4 0 1
10 3
0 1 1
2 2 0
3 1 1
1 0 0
0 3 3
3 3 2
1 2 1
2 0 3
1 3 2
0 2 1
10 9
5 3 0
1 4 0
3 4 0
3 2 1
4 3 5
4 3 4
3 5 5
5 4 2
4 1 4
1 5 4
10 2
3 2 4
2 0 1
2 0 2
1 0 2
0 3 4
0 4 1
4 1 4
4 4 1
3 2 2
1 3 4
10 6
0 4 2
0 0 4
1 1 0
4 2 1
3 0 2
3 1 1
4 4 2
1 2 1
2 4 1
1 2 2
10 9
3 0 2
1 0 1
1 1 3
2 1 1
0 1 0
1 3 0
0 2 0
2 2 0
0 0 3
0 0 0
10 8
4 5 4
5 1 0
2 2 5
5 5 0
5 4 5
0 1 0
0 5 3
5 3 5
5 1 2
2 4 2
10 8
1 0 0
2 2 4
0 3 4
0 3 2
0 0 0
4 0 3
1 1 4
2 2 3
2 0 4
4 1 1
10 4
2 0 2
0 1 0
1 1 1
0 1 2
0 2 2
1 2 2
2 1 0
0 0 2
2 0 1
2 0 0
10 3
0 2 0
3 3 2
1 2 5
1 5 5
0 1 5
1 5 3
1 3 3
4 0 2
4 3 5
2 4 0
10 5
3 4 4
4 3 1
4 0 4
3 4 3
2 1 4
1 2 1
4 1 2
3 2 0
3 3 1
3 0 2
10 2
3 0 3
0 5 5
4 3 5
3 1 5
4 5 5
5 5 2
2 3 5
4 4 3
5 2 4
2 2 3
10 3
2 3 5
1 1 4
3 4 0
4 5 5
5 2 4
5 3 0
1 0 1
0 1 4
1 2 0
1 3 4
10 3
3 0 2
2 3 3
1 2 1
1 1 0
1 0 0
2 0 3
2 2 3
0 0 3
2 0 0
3 1 3
10 6
0 0 0
1 0 1
1 4 4
1 1 0
4 0 1
2 1 0
2 0 4
2 0 2
4 0 4
4 0 2
10 6
4 5 4
0 0 3
0 0 2
2 4 4
1 4 1
3 1 4
2 2 1
5 1 3
5 3 3
2 0 0
10 4
4 1 4
0 1 3
4 4 2
2 1 4
1 1 4
1 4 4
1 3 1
2 1 1
4 0 1
4 2 4
10 2
2 2 0
3 1 1
4 0 2
4 4 4
1 2 3
4 4 3
0 0 0
2 0 3
0 2 3
3 3 0
10 4
3 2 0
2 2 2
0 1 1
0 3 0
1 2 0
3 0 1
0 2 2
2 3 0
0 0 2
2 0 1
10 5
4 3 2
0 3 4
2 3 0
1 1 2
3 3 0
0 0 4
1 2 0
1 4 4
1 2 4
0 1 4
10 2
3 3 1
3 1 2
3 2 2
3 1 1
0 2 2
1 3 1
0 2 0
2 1 3
2 3 2
3 0 2
10 9
2 0 1
3 1 1
4 5 3
3 2 4
2 0 5
1 0 3
0 1 2
4 0 1
0 1 3
0 5 1
10 4
0 1 1
1 2 1
0 0 1
2 2 2
1 0 2
1 2 0
0 1 0
2 1 1
0 0 0
0 2 1
10 9
2 0 3
1 1 2
0 0 2
3 2 2
0 0 1
3 1 3
3 2 0
3 1 0
0 3 2
0 1 1
10 2
2 1 2
0 0 2
0 0 1
0 2 0
0 1 0
1 1 2
2 0 2
2 1 0
2 2 1
2 2 0
10 3
2 0 2
2 2 2
2 0 0
1 2 0
0 1 0
1 2 1
1 0 1
0 0 0
0 1 1
2 1 0
10 5
1 4 3
0 3 4
3 3 3
1 0 1
1 2 3
4 2 0
3 2 1
3 0 1
3 1 0
4 2 2
10 3
2 3 0
0 2 1
2 3 2
1 3 0
3 2 3
0 3 1
0 1 1
0 3 2
2 1 3
0 0 0
10 5
0 1 1
3 0 0
1 0 2
3 1 0
1 0 0
0 1 2
0 0 0
3 0 2
3 3 2
0 1 0
10 4
3 2 3
2 3 2
1 2 2
3 0 1
0 0 2
2 0 1
2 1 3
2 3 0
3 1 3
0 0 3
10 5
1 0 0
2 1 0
1 0 1
1 2 2
0 2 1
0 0 1
1 2 0
0 1 2
2 1 2
2 2 0
10 2
4 5 5
2 3 4
2 2 3
0 1 4
3 4 0
2 3 0
5 2 0
3 3 3
4 2 3
2 0 2
10 5
2 1 0
2 0 0
1 1 2
0 2 1
1 2 2
2 1 1
1 2 0
2 2 2
0 0 1
2 0 1
10 3
1 3 4
3 1 4
2 2 4
2 5 2
3 0 2
4 3 2
4 2 4
3 2 4
5 0 2
2 5 3
10 6
0 1 2
0 1 0
2 2 0
2 1 1
2 0 1
1 2 2
1 1 2
1 1 0
0 2 0
0 2 2
10 9
1 2 1
0 1 1
1 2 0
0 0 0
0 1 0
2 0 2
0 1 2
2 0 0
0 0 1
1 0 1
10 6
3 1 2
2 0 0
4 2 2
0 1 4
2 2 3
3 1 1
1 4 3
3 2 3
2 1 1
2 3 2
10 5
2 4 5
0 0 5
2 5 3
3 5 2
2 3 3
1 4 2
0 4 3
4 1 2
0 2 2
4 4 3
10 5
1 3 0
2 3 1
0 2 1
2 2 2
0 0 0
1 2 0
2 2 0
0 4 3
3 0 0
3 4 4
10 4
1 5 5
2 0 3
3 1 1
5 3 5
2 2 4
3 5 0
1 1 3
3 3 0
1 3 4
4 5 4
10 3
5 2 0
3 4 4
2 5 4
2 5 5
1 3 5
0 3 4
0 0 0
2 4 2
5 0 0
0 3 5
10 8
2 0 2
1 1 0
1 2 2
0 2 0
2 1 1
1 2 0
0 2 1
0 2 2
2 1 2
2 0 0
10 6
4 4 3
0 5 5
5 0 2
0 0 0
5 2 1
1 2 5
2 1 4
5 5 4
0 4 4
5 4 5
10 5
2 2 1
1 0 1
0 2 0
2 0 2
2 2 0
0 1 0
1 1 2
1 2 1
0 1 2
0 0 2
10 2
3 2 2
0 4 5
4 0 4
3 4 3
2 2 3
2 3 0
2 5 4
1 1 1
5 5 1
5 2 3
10 8
0 0 0
2 2 2
0 0 1
2 0 0
2 1 1
1 1 1
1 2 2
0 0 2
2 1 2
0 1 1
10 6
1 3 0
3 4 3
1 0 2
1 5 1
0 1 1
4 1 1
5 4 5
0 4 3
3 3 1
2 3 4
10 7
0 2 2
2 1 2
2 0 0
0 0 0
1 0 2
0 2 1
1 2 1
1 1 1
2 0 1
2 1 1
10 3
0 0 0
2 0 1
2 2 2
1 0 0
2 0 2
1 1 0
0 1 1
1 2 1
2 1 1
2 1 0
10 8
4 4 4
2 4 0
1 3 3
0 1 3
2 3 0
3 1 0
4 4 3
3 3 1
4 2 1
1 2 0
10 8
5 2 5
2 0 5
2 5 5
3 4 4
2 4 2
3 1 4
4 5 0
2 3 0
0 1 1
2 5 0
10 5
2 2 1
2 1 0
2 0 2
2 0 0
0 0 0
2 1 2
1 2 1
2 0 1
0 2 0
1 0 0
10 2
1 1 4
3 3 1
1 4 3
1 2 3
4 0 3
4 4 1
3 4 2
4 3 4
3 2 1
1 1 1
10 7
0 1 2
0 0 2
2 2 0
1 2 2
0 1 1
1 0 0
2 0 0
2 2 1
1 0 2
2 0 1
10 2
4 3 3
2 2 4
4 3 1
1 4 1
4 1 4
1 1 2
2 3 4
2 2 0
0 0 4
0 1 4
10 5
2 5 2
2 0 5
4 3 0
2 4 3
5 1 2
1 4 1
0 4 3
2 3 0
5 3 0
5 2 0
10 4
2 2 1
2 0 2
2 0 0
0 1 2
0 2 2
2 2 0
0 0 1
1 2 1
1 1 2
2 0 1
10 8
2 4 4
1 3 5
5 1 3
0 4 3
2 5 3
3 4 2
0 0 2
5 2 1
3 4 4
5 2 4
10 8
2 2 2
1 2 1
1 0 0
0 2 1
0 1 0
2 0 2
1 0 2
1 1 0
0 0 0
1 0 1
10 2
1 3 3
0 1 2
2 0 2
1 1 2
1 3 0
1 3 1
1 0 1
2 0 3
3 0 0
1 1 3
10 5
4 2 2
1 3 1
1 3 2
1 2 1
0 1 3
4 3 0
4 0 1
1 1 2
3 0 3
3 4 3
10 2
2 2 3
4 0 3
3 4 0
3 0 0
2 4 4
2 0 3
1 3 2
1 0 3
0 1 1
4 1 0
10 2
0 2 2
1 0 0
1 1 0
0 1 1
1 2 1
2 2 0
2 1 0
1 2 0
2 1 2
0 0 0
10 2
4 4 3
3 4 1
1 2 4
1 3 1
2 3 3
3 3 3
1 1 0
1 0 4
2 2 4
2 4 3
10 7
3 3 0
0 3 3
2 0 0
3 0 2
3 2 0
2 3 3
1 3 0
3 1 0
2 2 0
0 0 1
10 7
5 1 1
1 2 0
2 3 2
2 0 5
2 3 1
1 0 0
1 3 4
0 0 0
4 0 4
0 1 0
10 8
2 4 2
0 3 5
2 0 3
1 0 1
5 5 2
4 4 4
2 3 1
2 2 0
2 0 4
4 0 2
10 2
0 1 0
0 2 0
2 0 2
1 2 0
0 0 2
2 2 1
1 2 2
1 2 1
2 0 1
1 0 0
10 6
1 1 0
1 2 0
2 2 1
2 1 1
2 0 0
0 0 0
1 0 2
0 2 1
1 0 0
0 1 1
10 6
0 2 2
2 2 1
1 0 1
2 3 4
0 3 2
0 4 1
2 1 3
4 3 3
0 1 2
3 0 4
10 3
2 2 0
0 0 1
0 2 3
0 3 2
1 0 0
2 1 2
0 2 0
3 3 1
3 1 0
3 2 3
10 4
2 1 2
0 1 1
0 0 1
2 2 1
1 0 2
2 0 2
2 2 2
0 1 2
0 0 2
2 1 1
10 3
1 5 2
5 1 5
1 5 1
1 3 0
5 0 2
2 5 1
3 4 2
5 2 4
3 3 4
0 4 3
10 5
2 2 4
4 2 2
4 4 2
1 1 4
3 0 2
3 4 3
2 3 0
4 3 1
0 0 0
3 4 1
10 5
4 0 5
5 0 2
0 4 4
1 5 2
4 0 0
0 0 4
4 3 2
5 0 4
3 0 2
4 1 1
10 8
3 0 2
0 0 2
4 4 3
0 3 3
1 1 0
0 1 0
4 0 0
1 1 4
4 1 2
2 3 3
10 3
1 0 0
3 3 2
3 0 0
1 1 3
2 1 3
4 1 2
3 4 1
0 1 0
4 1 0
1 4 0
10 6
0 2 1
0 1 3
3 1 1
2 2 1
1 0 0
3 3 2
1 3 3
0 1 2
1 2 0
3 0 2
10 9
1 1 1
0 2 0
2 0 1
2 0 2
1 0 1
2 1 2
0 0 2
0 2 1
0 0 0
1 0 2
10 2
2 1 2
0 2 1
1 2 2
1 1 0
2 1 1
1 2 1
2 2 2
0 1 2
1 0 1
0 0 2
10 3
2 3 2
1 0 2
2 3 1
2 4 0
1 0 1
0 3 4
0 1 2
0 4 2
1 4 2
3 1 2
10 4
3 4 3
0 0 4
3 3 1
3 2 1
3 1 4
1 0 0
1 3 2
3 4 4
1 3 3
2 3 2
10 6
1 0 0
2 0 4
0 3 4
3 1 4
0 2 4
3 4 2
1 3 0
3 4 4
3 0 3
1 2 3
10 5
1 2 1
0 0 2
0 2 1
0 2 2
1 0 1
0 0 1
1 2 2
0 2 0
2 0 2
2 2 0
10 4
0 0 0
1 1 0
0 0 2
1 2 0
0 2 1
2 0 0
2 1 1
1 0 2
2 1 0
2 0 1
10 2
4 1 2
1 2 2
4 0 0
2 4 0
2 1 3
0 1 2
3 4 3
1 1 2
1 4 1
2 4 4
10 8
0 2 0
1 2 1
0 0 1
1 1 1
1 0 0
2 1 1
1 0 2
2 0 2
2 2 0
1 2 2
10 2
1 3 0
2 3 3
0 1 0
5 4 3
0 3 0
3 1 1
2 1 0
0 3 5
4 3 5
3 5 3
10 2
0 2 1
2 2 2
0 2 0
1 0 0
1 2 1
0 1 0
0 0 1
0 0 2
2 0 1
2 1 1
10 7
0 1 0
2 2 2
1 1 0
0 1 1
2 0 2
2 1 2
0 2 1
2 2 0
1 0 2
1 1 2
10 8
5 2 3
5 5 1
0 1 4
4 5 3
2 3 5
5 1 3
1 3 5
2 3 4
4 0 4
4 1 5
10 4
2 5 5
5 1 5
4 5 3
3 1 5
5 5 2
2 0 2
4 0 5
5 3 5
1 0 4
1 0 1
10 3
5 1 4
2 1 3
1 5 5
2 5 3
2 3 3
5 2 3
0 2 5
5 4 4
0 4 3
0 5 1
10 4
3 0 3
2 2 2
0 1 0
4 5 4
5 2 2
2 2 5
3 0 1
4 4 0
5 2 4
4 2 3
10 9
1 3 3
3 2 3
3 2 2
2 3 0
0 2 2
1 3 2
0 3 1
1 2 0
2 0 3
1 2 2
10 5
0 2 0
0 2 1
4 1 0
2 3 3
4 3 1
4 2 0
1 0 3
0 4 0
4 2 4
4 2 1
10 5
2 2 2
2 3 2
2 1 1
0 1 0
3 3 3
0 0 0
0 0 2
0 2 2
0 3 2
2 3 3
10 5
2 2 1
1 0 3
0 2 3
0 0 2
1 2 1
1 3 1
1 0 1
3 2 2
3 0 3
1 1 2
10 2
2 2 0
4 3 1
2 2 3
4 2 0
2 3 1
1 1 4
0 4 2
3 0 4
1 4 1
3 4 1
10 4
0 1 2
0 0 1
1 2 0
2 2 0
2 2 1
2 1 2
1 0 0
2 0 1
0 0 0
2 1 0
10 9
1 3 1
0 0 3
3 1 1
0 1 2
0 3 3
2 3 1
2 0 3
3 1 2
1 1 0
0 0 1
10 3
3 2 4
3 1 0
2 2 4
4 1 1
0 0 2
3 2 0
3 4 2
2 4 4
3 1 4
3 4 1
10 5
0 1 3
2 3 3
3 1 3
2 2 1
1 0 3
2 3 0
3 1 2
2 1 2
3 3 0
2 2 0
10 4
1 1 0
1 0 1
1 1 1
2 2 1
1 0 0
0 0 2
2 1 1
1 2 0
0 1 2
2 2 0
10 6
1 2 0
0 0 0
2 1 2
1 2 1
1 0 1
2 0 1
2 0 2
1 1 2
1 1 0
2 2 2
10 9
1 1 1
3 3 1
1 0 1
2 3 1
3 2 0
0 2 0
0 1 0
3 0 0
2 1 2
3 2 2
10 8
3 2 1
2 2 0
1 3 0
1 3 3
3 0 0
0 0 2
0 2 3
1 0 0
3 3 0
2 1 1
10 8
5 0 4
2 5 2
4 0 1
5 2 0
5 5 3
2 2 5
4 1 3
2 0 0
1 0 0
1 2 5
10 3
2 0 0
1 1 1
1 1 0
2 1 0
2 2 0
0 0 2
2 1 2
0 1 2
0 1 0
1 0 1
10 9
1 4 0
3 5 5
2 2 0
3 2 2
2 1 4
2 4 4
4 0 4
0 0 2
5 2 3
5 3 1
10 3
0 2 0
0 0 0
2 2 0
2 1 1
0 0 2
2 1 2
0 2 1
2 2 2
1 1 2
0 1 2
10 3
1 2 1
2 0 2
3 3 3
1 2 3
0 3 3
0 1 1
2 0 3
2 2 2
3 2 3
3 1 1
10 2
3 0 1
2 1 3
4 0 4
1 1 2
4 1 0
1 1 4
1 0 2
3 3 1
3 2 2
1 4 0
10 8
2 1 2
2 1 0
0 1 2
1 0 1
2 2 2
0 2 1
0 1 1
1 2 2
1 1 2
0 1 0
10 3
2 0 1
1 2 0
1 0 1
0 0 1
2 2 2
1 2 2
1 1 1
1 1 2
0 1 0
0 1 1
10 2
1 0 1
1 2 1
0 1 1
2 2 0
0 2 0
1 1 0
2 1 1
1 0 0
0 0 1
1 2 0
10 3
0 1 1
1 0 1
2 2 2
0 2 0
0 0 1
1 2 1
0 0 0
0 2 1
2 0 2
1 1 0
10 5
0 5 5
2 0 4
4 1 4
2 2 1
0 3 0
2 1 0
5 4 5
0 1 2
5 3 0
4 3 4
10 8
4 3 3
5 3 2
3 2 2
1 2 0
1 4 0
4 4 1
4 3 2
3 0 2
3 5 4
3 0 1
10 4
4 2 2
1 1 4
4 4 0
4 2 3
2 2 1
1 3 4
4 3 1
3 1 3
2 0 2
1 4 4
10 5
4 4 2
2 4 2
1 2 3
4 2 1
3 3 0
3 2 0
1 2 2
1 3 2
1 4 2
0 4 3
10 3
1 1 4
4 0 0
4 1 3
4 2 1
0 1 1
3 2 2
3 2 3
5 2 2
4 2 3
0 2 1
10 5
2 1 4
3 4 2
3 0 0
4 0 0
2 0 1
2 0 4
4 3 1
4 4 4
4 4 2
3 0 1
10 3
3 3 1
3 3 3
2 3 2
2 2 2
1 3 1
3 1 0
0 3 1
2 0 3
2 3 1
2 0 2
10 4
1 2 1
1 1 1
0 2 1
0 1 1
0 2 2
1 1 2
1 1 0
0 0 1
0 0 0
2 0 1
10 2
2 3 4
3 4 4
3 0 3
3 1 2
1 1 0
1 0 2
1 4 4
2 0 3
4 2 2
0 4 1
10 6
0 0 0
3 3 0
1 0 1
1 1 3
2 3 0
2 2 3
1 0 2
0 3 1
2 2 0
0 1 1
10 3
2 0 0
1 3 4
2 5 2
0 5 0
0 1 4
5 3 5
2 4 0
2 4 4
2 1 0
2 3 0
10 3
0 2 2
0 0 0
0 2 3
1 0 3
2 2 3
1 2 1
2 2 2
2 0 0
2 1 3
2 0 2
10 6
3 4 4
0 1 4
3 1 2
3 3 0
0 0 3
4 1 4
4 1 0
4 0 0
4 2 4
2 4 0
10 4
1 1 0
0 0 0
0 1 0
2 2 1
0 1 2
0 0 2
2 0 0
1 1 2
2 0 1
0 1 1
10 6
2 3 3
0 2 2
3 0 3
2 1 1
0 3 0
3 2 1
0 3 1
0 1 2
0 0 2
0 2 3
10 8
3 2 3
0 0 3
1 1 3
3 3 1
0 3 3
1 2 2
2 2 3
3 2 1
1 0 1
3 1 3
10 4
3 2 1
3 3 1
3 4 2
3 3 3
3 2 3
0 0 4
0 4 0
4 0 1
1 2 4
1 1 2
10 9
1 0 2
3 0 1
0 0 2
0 3 0
3 2 0
1 3 2
2 2 3
2 0 3
0 2 1
1 2 3
10 5
2 0 2
1 1 2
0 1 0
2 0 0
2 1 0
2 2 2
1 0 1
1 0 2
0 2 1
2 1 2
10 8
1 1 1
0 2 0
3 1 2
1 2 0
1 3 2
2 2 3
3 0 2
0 2 1
2 2 2
1 1 0
10 6
2 5 0
5 3 2
2 2 4
1 5 0
5 3 1
3 3 2
0 2 1
1 2 3
1 1 0
1 0 2
10 9
1 2 1
0 2 0
1 1 1
0 2 2
0 2 1
2 1 2
1 0 2
0 1 0
1 1 2
2 2 1
10 5
0 1 2
0 0 4
4 0 4
0 0 2
0 2 1
3 3 3
4 4 3
2 0 3
1 2 2
0 1 1
10 5
2 2 0
2 0 1
0 1 0
2 1 1
0 0 1
2 2 2
1 1 2
0 2 1
1 1 1
2 0 0
10 6
4 3 3
1 2 1
3 3 1
1 1 4
2 0 2
2 1 2
1 2 4
2 1 4
0 2 4
4 0 2
10 9
2 2 3
3 2 1
1 4 1
2 3 1
3 3 3
1 4 4
0 0 2
3 1 4
0 0 0
1 3 1
10 6
2 3 1
3 1 2
2 2 1
3 2 3
1 3 2
0 2 3
1 2 1
0 2 0
1 2 3
3 1 3
10 5
1 3 0
1 0 2
0 1 0
0 3 1
0 3 2
3 2 3
0 2 1
3 0 2
1 0 3
0 1 2
10 2
1 0 0
2 3 1
0 0 1
3 3 0
1 3 0
1 3 2
3 2 0
2 0 2
1 0 1
1 2 1
10 7
5 5 2
0 4 3
1 0 5
5 0 5
2 4 5
4 1 5
5 1 5
5 0 2
5 2 2
2 0 0
10 7
4 4 0
1 0 3
4 4 2
1 0 2
3 0 2
0 0 1
2 1 0
0 3 0
4 3 1
2 4 2
10 8
2 1 0
1 3 1
0 3 1
3 1 2
3 2 3
0 0 0
0 3 3
3 1 3
1 1 0
1 2 1
10 4
2 1 1
1 0 3
0 0 3
2 0 2
3 3 2
0 0 0
2 3 3
0 1 0
2 3 0
3 0 1
10 5
0 0 0
4 0 2
3 2 4
2 1 0
3 3 1
3 3 3
2 3 3
3 4 0
3 0 4
3 1 3
10 3
0 1 5
5 3 3
0 2 2
2 1 3
0 4 5
0 5 3
0 0 3
5 4 1
3 0 0
5 2 2
10 3
0 2 0
2 2 0
0 2 2
2 3 4
1 4 0
4 5 5
2 5 3
3 5 0
2 1 3
3 0 2
10 9
1 4 3
4 4 1
0 3 1
3 1 3
4 4 3
1 1 3
0 0 3
4 0 4
2 0 0
0 2 0
10 5
2 0 2
1 1 0
1 0 2
0 2 2
3 0 1
3 3 1
3 0 0
2 3 1
2 0 1
3 1 1
10 7
1 3 3
2 0 0
3 3 1
1 1 2
3 1 0
3 1 2
1 2 2
2 0 2
0 3 3
3 3 0
10 5
3 1 4
1 3 4
4 3 2
0 3 0
4 0 0
0 0 3
2 1 3
1 0 4
3 2 0
0 4 1
10 8
1 0 1
2 1 0
0 2 2
0 4 0
0 4 2
1 3 2
2 3 1
4 1 3
3 1 0
3 3 1
10 5
4 3 2
1 2 1
1 3 1
0 3 4
2 3 1
4 0 0
0 1 2
0 4 4
3 0 3
3 0 4
10 6
0 5 3
4 1 2
5 1 1
2 5 5
5 3 2
0 4 5
5 5 0
1 0 0
2 0 3
0 2 2
10 6
2 0 2
1 0 0
0 0 2
1 1 1
0 0 1
0 1 2
0 0 0
0 2 2
0 2 0
1 2 2
10 7
4 0 5
3 0 2
0 2 0
0 2 3
2 4 4
3 0 4
3 2 0
4 4 1
4 4 0
5 0 1
10 2
3 5 5
2 0 5
2 3 0
0 1 3
2 2 1
2 2 5
2 3 3
4 2 3
0 0 2
1 1 0
10 9
1 3 0
3 0 0
3 2 2
0 1 1
0 0 0
3 3 2
0 2 3
2 1 3
1 3 1
0 3 3
10 3
4 2 3
4 0 5
5 4 1
2 1 5
4 4 1
4 4 5
1 1 1
5 4 5
0 0 0
4 1 3
10 6
3 1 2
0 3 3
0 1 1
2 2 0
2 0 1
2 0 0
3 2 3
0 3 2
3 1 0
1 0 0
10 7
0 1 2
3 0 3
2 0 3
2 1 2
2 3 2
2 1 3
3 0 2
0 2 2
1 1 1
1 3 3
10 7
2 5 2
0 5 2
2 2 0
5 4 3
2 5 3
5 5 4
2 3 2
4 3 0
0 3 1
0 4 0
10 3
4 0 4
2 2 1
3 1 2
1 2 0
0 3 1
3 3 3
0 2 3
4 3 0
1 1 3
3 3 2
10 5
1 1 1
2 3 0
0 2 2
1 0 2
3 0 2
1 0 3
0 1 0
2 3 2
3 3 1
0 1 3
10 9
3 2 2
2 0 0
3 0 3
1 2 1
3 2 1
0 0 0
2 3 1
0 2 2
1 2 0
2 1 3
10 6
4 0 4
3 2 0
1 4 3
3 2 1
1 4 4
3 1 0
4 1 3
2 1 4
2 3 1
4 1 0
10 9
0 1 1
2 2 2
0 2 0
1 1 1
2 0 0
0 2 1
2 2 1
2 0 1
0 0 0
0 0 1
10 6
3 0 1
3 3 3
1 3 2
0 3 2
3 0 3
1 3 0
0 1 2
3 3 0
3 3 1
0 3 0
10 8
2 0 4
2 2 4
0 2 4
2 1 4
0 2 2
4 2 1
2 2 3
0 4 0
0 3 2
2 0 1
10 5
2 2 2
3 0 4
0 5 5
5 4 3
5 3 5
1 2 0
1 5 4
4 3 4
0 5 0
4 4 2
10 8
1 2 2
2 2 2
1 2 0
1 1 2
1 1 0
2 0 0
0 0 1
0 0 0
2 2 0
1 0 2
10 7
3 0 1
2 2 0
4 1 4
1 2 3
5 1 2
5 0 4
2 5 4
4 2 0
4 0 1
1 2 4
10 2
0 1 3
2 3 3
3 1 2
1 3 0
3 3 0
0 0 2
3 1 0
0 0 3
1 2 2
3 0 3
10 9
2 0 2
2 2 1
0 2 0
0 0 1
0 0 2
2 1 2
2 1 0
0 0 0
1 2 1
0 1 0
10 4
0 4 4
1 5 2
3 2 2
2 5 2
5 3 0
5 0 2
2 3 4
3 0 3
1 5 0
4 1 2
10 6
0 1 3
2 1 2
1 0 3
1 1 2
3 3 0
1 2 3
1 3 2
0 3 1
0 1 2
2 1 0
10 4
3 4 4
1 1 2
4 3 0
2 1 2
2 3 2
2 1 1
2 4 0
4 2 0
3 2 2
1 0 1
10 3
1 2 1
2 0 2
0 2 0
0 0 1
2 1 2
0 1 1
2 2 2
0 0 2
2 1 0
1 1 1
10 6
1 3 1
3 0 0
1 3 3
2 3 2
0 3 1
3 1 3
3 2 0
0 1 3
0 1 1
3 1 0
10 6
0 1 0
2 2 1
2 1 0
0 1 2
2 2 2
2 1 2
1 2 1
1 2 2
2 0 1
1 0 1
10 9
0 1 2
3 3 0
0 2 0
1 0 2
1 2 1
0 1 3
0 1 1
0 2 2
2 1 1
1 2 2
10 4
1 4 5
1 1 3
1 5 0
2 5 4
5 0 0
0 5 5
0 3 1
5 3 4
2 4 1
0 2 2
10 9
4 1 2
0 2 0
1 2 0
0 1 2
4 0 1
1 2 1
4 4 4
3 4 3
0 2 3
3 1 1
10 9
2 1 0
2 1 1
2 0 2
1 0 2
1 0 0
0 2 0
2 0 0
1 0 1
0 2 2
1 2 1
10 4
3 1 5
2 1 1
1 4 4
0 4 3
2 5 5
1 5 1
1 5 2
5 3 1
3 3 3
5 2 4
10 8
4 5 0
1 1 0
1 4 3
4 3 3
1 5 1
5 5 1
3 4 1
0 1 2
5 3 5
2 2 1
10 6
1 0 0
3 2 3
4 1 1
1 2 4
4 2 0
0 2 5
0 3 2
5 1 5
3 0 4
0 0 0
10 4
3 1 2
1 0 2
3 1 0
1 3 0
3 0 0
2 0 3
2 0 0
3 3 3
3 0 1
1 1 1
10 3
1 2 1
1 0 1
0 1 0
0 0 2
2 1 0
1 2 2
2 1 2
1 1 1
2 2 1
1 2 0
10 7
0 3 1
1 1 3
1 3 2
1 2 0
2 2 0
3 2 1
2 1 1
0 3 2
1 0 3
0 0 2
10 9
1 0 3
2 5 5
1 2 1
4 4 4
5 0 4
2 1 3
5 4 2
2 0 2
0 2 3
1 3 2
10 8
2 4 4
2 1 3
3 4 1
2 0 1
1 0 3
4 4 2
0 4 1
3 0 2
2 4 2
4 0 4
10 5
1 2 0
1 1 3
2 2 1
2 1 0
2 0 3
1 3 3
1 0 2
0 3 2
2 2 0
1 3 1
10 8
3 1 1
0 4 0
3 4 1
0 0 3
1 0 1
1 4 3
4 1 3
0 3 1
0 3 3
2 2 2
10 6
0 3 3
0 3 5
1 4 0
4 2 0
2 3 5
4 5 5
2 2 4
2 2 5
1 1 1
2 3 3
10 3
3 5 5
4 3 2
5 3 3
0 4 2
0 3 5
4 0 3
0 5 5
0 2 5
3 4 1
2 4 2
10 3
3 2 0
1 0 2
3 2 1
1 2 0
2 1 0
2 1 3
1 0 1
3 3 0
0 3 0
2 1 2
10 9
0 4 0
4 2 1
0 2 3
0 2 1
1 1 2
2 2 2
4 2 3
0 1 3
2 1 0
3 2 4
10 6
2 1 0
1 0 0
1 1 2
2 2 1
2 0 2
0 2 1
2 2 0
0 1 2
2 1 1
1 2 2
10 7
2 3 3
0 2 4
0 3 3
4 0 2
1 3 2
1 4 3
2 4 1
0 0 4
4 2 2
0 4 1
10 2
2 0 2
1 0 0
2 0 0
0 0 0
2 2 0
0 2 2
0 1 1
2 1 0
1 2 0
2 2 1
10 2
2 4 1
0 1 4
2 0 2
2 2 4
0 4 4
4 1 3
0 4 1
1 2 3
1 0 4
0 4 3
10 7
1 1 4
2 0 0
4 2 1
1 1 1
2 1 0
0 1 4
4 2 0
4 2 3
1 2 2
1 2 1
10 7
0 1 1
2 1 0
1 1 1
1 1 2
2 1 1
1 0 2
0 1 2
1 2 0
0 0 0
0 2 2
10 5
3 1 3
2 1 5
5 0 4
3 2 0
4 2 5
4 3 5
4 1 0
3 3 1
1 3 2
2 0 5
10 5
0 0 0
0 3 3
2 2 4
3 5 3
0 1 4
5 3 2
5 1 5
1 0 0
1 5 4
2 1 4
10 5
2 5 4
3 3 0
3 0 2
5 0 3
3 2 4
1 0 4
2 0 5
0 1 1
0 3 2
4 5 0
10 3
2 1 2
0 2 1
1 0 2
2 2 1
1 1 1
1 2 0
2 2 0
1 0 0
2 1 0
2 1 1
10 6
1 1 2
1 2 1
0 2 2
2 0 2
0 1 1
1 2 0
2 0 1
2 1 0
0 0 1
1 1 0
10 5
1 0 0
1 1 3
1 3 0
0 1 1
2 0 2
1 1 0
3 0 2
1 0 3
3 2 3
3 0 0
10 6
1 0 0
2 1 0
2 2 2
1 1 0
2 2 1
0 2 0
2 0 2
2 0 1
2 1 2
0 0 1
10 5
0 5 5
5 1 2
5 1 1
5 1 4
0 2 4
1 1 0
2 0 3
4 0 5
0 5 3
2 2 3
10 6
3 3 0
2 1 2
0 2 3
0 3 3
1 3 1
2 3 3
2 1 1
3 2 3
3 1 1
2 3 2
10 5
3 1 0
1 4 0
3 4 4
1 5 3
4 3 1
5 4 1
2 4 3
2 4 2
3 2 3
1 0 4
10 4
4 1 3
2 0 5
4 2 0
2 2 1
1 3 3
5 5 1
1 3 2
3 4 5
3 3 0
4 5 1
10 2
0 3 3
1 4 2
2 4 4
3 1 5
3 3 4
4 2 3
1 1 5
2 0 3
5 1 5
3 0 4
10 2
1 3 1
4 0 1
0 1 4
0 3 3
0 0 3
1 2 4
0 2 2
3 4 3
1 2 2
3 3 2
10 4
4 2 3
4 1 4
2 2 5
0 0 3
1 0 3
0 4 0
4 2 5
2 3 4
5 4 0
2 5 4
10 6
0 2 2
1 2 0
2 3 2
1 0 3
0 0 0
1 0 2
1 0 1
1 1 2
0 0 2
2 2 1
10 9
2 4 4
4 1 3
0 2 3
2 3 0
4 0 0
2 0 3
2 4 3
3 3 3
4 3 4
2 0 4
10 3
1 2 2
3 0 0
2 0 4
4 2 0
3 4 4
0 1 4
2 0 1
1 0 4
3 3 1
3 4 3
10 2
0 4 4
3 3 3
1 2 3
2 0 4
5 4 3
1 4 5
0 0 1
1 4 1
3 4 1
2 2 1
10 5
0 3 0
2 4 0
3 4 2
4 2 3
1 1 3
1 3 3
4 2 0
1 3 0
1 4 1
3 1 3
10 2
0 1 0
0 1 2
2 3 1
2 0 3
3 2 0
3 0 0
1 0 2
0 2 3
3 3 1
1 2 2
10 3
4 5 2
0 1 4
1 5 3
5 2 1
4 0 1
5 2 0
1 4 5
5 2 2
1 1 5
0 3 5
10 7
3 5 0
3 3 4
0 4 2
0 0 2
5 1 2
3 4 1
0 2 1
3 4 0
2 0 5
4 1 0
10 6
2 0 1
2 2 1
0 2 0
2 0 0
1 1 2
0 0 0
0 1 3
1 0 0
0 1 0
2 0 3
10 7
0 1 1
1 2 0
1 2 2
0 1 2
1 1 0
2 0 0
1 1 1
0 2 2
1 2 1
2 2 1
10 9
0 1 2
0 2 1
0 1 0
0 0 0
2 2 2
0 0 2
2 0 0
2 1 2
1 1 1
0 1 1
10 6
2 1 2
2 1 1
1 1 1
0 2 0
1 1 0
0 1 1
1 1 2
0 2 1
1 0 0
1 0 1
10 7
2 2 3
0 1 1
1 1 2
3 0 1
3 0 2
0 1 3
2 2 1
1 3 3
0 0 2
0 3 2
10 9
1 0 2
2 2 2
0 0 2
2 0 1
2 1 0
0 2 0
1 0 1
0 1 0
1 1 1
0 2 1
10 3
1 0 2
1 1 1
0 0 1
1 2 2
2 1 2
2 0 1
0 1 1
1 0 0
0 0 2
1 2 1
10 7
1 0 1
1 2 2
1 1 1
2 0 2
1 0 2
2 2 2
0 0 1
0 1 1
0 0 0
1 2 0
10 9
0 4 0
1 4 0
2 3 3
3 1 4
0 3 2
0 1 2
0 0 2
3 3 4
0 4 3
3 4 3
10 2
2 1 2
1 5 4
0 5 5
1 5 3
4 1 0
5 0 2
5 5 2
3 2 5
4 4 3
3 1 4
10 3
4 0 3
1 2 1
1 4 2
1 3 0
0 2 0
1 0 1
1 4 0
0 4 4
4 0 4
3 0 1
10 9
2 2 3
2 2 0
0 1 2
0 2 2
1 2 0
0 3 0
1 1 3
3 0 2
1 0 0
1 3 0
10 4
2 3 1
0 2 3
0 1 0
3 2 0
3 1 1
3 1 0
1 0 1
1 2 1
1 1 3
1 0 2
10 8
0 0 1
0 3 1
3 1 1
3 2 2
2 0 2
1 3 0
0 0 0
3 0 3
0 2 3
3 3 3
10 6
0 1 4
2 0 2
1 1 2
3 4 1
0 1 1
1 3 0
0 3 0
0 1 0
3 3 2
0 1 3
10 4
1 0 4
3 1 4
2 2 1
3 0 1
0 4 0
4 3 0
4 2 2
0 2 1
0 2 0
2 0 4
10 5
3 0 0
1 3 1
0 0 2
3 0 2
0 1 0
3 0 1
1 0 0
0 2 3
3 3 1
0 0 0
10 5
4 4 1
5 5 5
4 1 5
1 1 5
4 3 3
3 2 2
5 0 3
5 5 1
5 2 2
3 5 0
10 3
4 2 4
2 1 5
3 2 1
5 0 4
1 0 1
1 2 0
2 1 4
1 0 0
4 0 2
2 4 0
10 2
2 4 0
0 0 4
2 3 3
0 4 3
1 2 4
1 2 5
5 1 2
2 4 2
1 2 3
2 2 4
10 3
0 3 1
3 3 2
2 3 3
1 0 2
2 2 1
1 3 3
2 3 2
2 2 0
1 1 1
1 2 1
10 2
1 1 0
0 1 0
2 1 1
3 3 0
3 3 2
3 2 1
3 1 3
3 0 0
1 3 0
2 2 3
10 7
4 3 3
4 2 1
0 0 1
3 3 3
0 2 4
2 0 2
1 1 2
2 3 3
1 4 3
2 1 2
10 4
0 0 2
1 2 1
0 0 0
1 1 1
2 1 0
0 2 0
1 0 0
0 2 1
0 2 2
2 0 1
10 2
2 1 0
0 0 0
2 0 1
2 0 0
0 0 1
2 2 1
0 1 1
2 0 2
1 1 2
1 2 1
10 6
1 0 0
2 0 2
0 0 0
0 2 0
0 2 1
1 1 0
1 2 1
2 1 0
2 0 1
0 1 1
10 3
1 1 2
0 1 0
2 0 1
0 2 2
2 2 2
0 1 2
1 1 1
2 1 2
0 0 0
1 1 0
10 5
1 0 2
0 1 2
0 0 3
1 0 0
2 0 3
3 0 0
2 3 0
2 1 1
3 2 1
1 2 1
10 6
1 2 0
1 0 2
0 0 0
0 1 0
1 1 1
2 0 0
1 2 2
0 1 1
1 2 1
1 0 0
10 7
3 2 3
0 1 2
0 1 0
3 2 0
3 3 3
2 1 3
2 0 1
3 1 3
1 3 2
1 0 2
10 2
2 3 1
5 0 0
3 4 0
1 3 2
3 4 2
4 2 3
2 3 3
5 5 2
4 2 0
0 2 4
10 6
0 0 1
2 0 1
0 0 0
2 1 1
1 1 1
1 0 0
1 0 1
2 0 2
0 1 1
0 2 0
10 5
3 0 4
1 1 2
3 4 2
4 3 2
4 2 4
4 1 3
0 4 0
3 2 1
0 1 1
1 2 2
10 3
2 5 5
0 3 0
3 2 2
3 2 4
3 1 0
5 2 0
5 5 1
5 3 3
5 4 4
5 2 4
10 6
2 2 4
2 2 0
0 1 0
1 0 1
1 0 0
0 4 3
1 4 2
4 1 1
1 4 1
3 3 0
10 5
2 2 4
2 3 3
4 2 2
0 5 5
3 1 4
5 5 0
3 3 0
2 2 0
2 4 1
1 0 5
10 4
1 5 0
5 4 0
5 4 5
1 1 5
5 1 2
3 2 1
5 0 5
3 0 5
0 0 2
1 1 0
10 5
2 0 2
2 2 0
0 0 0
2 2 2
2 1 2
0 0 1
1 1 0
1 2 2
0 2 0
2 2 1
10 6
2 1 0
1 3 3
1 5 3
3 1 2
3 1 5
5 3 1
1 1 1
4 2 5
3 5 0
3 0 1
10 5
1 2 0
1 0 1
5 2 3
5 2 4
3 3 0
3 1 3
0 5 5
1 5 3
0 5 3
2 0 3
10 9
0 0 2
0 1 1
0 1 2
2 0 2
1 2 1
1 2 0
2 2 0
2 0 0
2 2 2
2 0 1
10 8
1 0 0
0 1 2
0 0 1
2 0 0
2 1 2
1 2 1
0 1 0
2 1 0
0 2 2
1 1 2
10 6
3 2 1
3 2 3
3 2 0
3 0 2
3 1 3
0 2 0
1 1 1
2 1 2
3 3 1
3 1 0
10 9
2 1 1
2 4 2
0 0 2
1 0 4
4 4 3
1 2 1
0 3 1
0 0 0
2 4 1
1 2 0
10 2
2 4 0
0 3 3
0 1 2
0 4 3
1 1 0
3 0 5
2 3 3
3 2 2
1 5 5
0 3 2
10 9
2 1 0
4 0 5
5 2 4
2 1 3
4 5 0
1 1 0
2 3 5
5 3 5
2 3 4
3 5 4
10 5
2 0 4
1 4 0
4 2 3
0 5 0
5 1 5
1 1 3
0 5 1
4 3 5
3 1 5
1 3 1
10 4
4 3 0
2 4 2
2 0 1
4 3 3
0 4 1
0 3 1
0 2 4
3 3 3
2 0 4
4 0 2
10 5
0 0 0
2 0 0
1 0 1
2 0 2
0 1 2
1 0 2
0 0 1
2 2 2
0 1 0
1 2 1
10 5
3 3 2
2 1 1
1 2 1
0 1 1
0 2 2
1 1 0
2 0 3
0 3 2
3 3 1
2 1 0
10 2
0 1 1
0 1 2
1 1 2
1 2 1
1 0 2
0 0 2
2 0 1
1 1 1
2 2 2
1 1 0
10 8
3 2 3
1 0 3
1 3 2
0 3 2
1 1 2
0 0 3
2 2 0
3 3 2
0 0 2
3 1 0
10 3
1 1 5
3 4 5
3 0 5
3 3 4
5 3 3
4 2 0
0 5 4
2 1 2
2 0 0
3 3 2
10 5
0 3 3
0 4 3
3 1 2
0 5 5
4 2 4
1 4 3
4 3 4
0 3 1
1 2 0
0 4 2
10 2
1 1 1
0 0 0
2 0 0
0 1 1
0 1 0
1 0 1
2 0 1
1 1 2
0 0 1
0 2 2
10 6
5 5 4
4 3 3
4 3 2
4 2 0
5 2 4
5 5 1
2 3 1
2 2 2
1 1 0
3 1 2
10 9
0 0 3
0 3 3
3 2 2
3 3 2
1 1 1
0 2 0
0 0 2
1 0 3
1 1 2
2 3 3
10 6
0 1 2
1 2 2
0 0 1
3 2 3
4 0 3
4 0 0
2 1 2
4 0 4
3 0 2
4 4 1
10 2
0 4 2
0 2 3
4 0 4
0 0 2
0 1 3
3 4 3
3 0 0
3 0 3
2 4 4
1 4 2
10 3
1 0 0
2 2 1
2 1 2
1 1 0
2 2 0
2 0 1
2 0 2
1 1 1
0 0 1
0 0 2
10 2
1 3 0
1 0 1
2 2 3
1 0 0
2 3 2
0 1 3
3 3 3
2 0 1
1 1 2
0 2 3
10 7
3 4 1
0 0 1
1 5 4
5 2 3
4 3 4
1 0 5
0 4 3
3 4 3
2 2 1
0 4 1
10 7
2 2 0
2 2 2
1 1 0
1 0 0
0 2 2
1 1 1
2 0 1
2 1 1
2 2 1
0 1 1
10 4
2 1 0
3 3 0
3 3 3
2 2 3
3 0 0
0 0 1
1 2 2
0 0 2
1 3 3
3 2 1
10 2
2 3 0
4 2 0
0 4 3
3 4 3
1 2 4
2 1 0
2 2 3
2 4 3
0 1 0
4 0 4
10 3
3 1 1
2 1 0
0 3 0
2 1 2
1 1 0
3 2 2
0 1 3
1 2 3
2 2 0
2 3 0
10 8
1 0 3
2 3 2
3 2 3
1 0 1
0 0 0
2 1 3
2 0 1
2 1 0
3 0 0
2 0 3
10 4
3 1 2
1 4 3
0 1 0
0 0 4
4 1 1
3 0 2
3 0 3
3 2 0
2 4 1
1 2 0
10 8
1 2 2
2 2 0
2 1 1
2 2 2
0 1 1
2 1 2
2 0 0
1 2 0
1 2 1
2 1 0
10 5
2 3 2
3 5 2
1 1 3
0 5 2
1 1 5
2 3 3
0 5 0
4 5 3
1 4 0
1 5 0
10 6
5 1 1
5 4 0
4 4 3
0 3 0
1 4 3
4 5 1
3 4 3
2 4 2
0 2 2
3 1 2
10 7
0 0 2
2 0 1
1 1 1
1 2 1
0 1 0
1 0 2
2 2 2
0 1 1
1 1 0
1 0 0
10 5
0 0 2
1 0 0
2 0 1
0 1 2
1 0 1
2 2 0
2 2 1
2 2 2
1 1 2
2 0 2
10 3
1 5 0
1 1 1
3 3 2
4 5 4
2 4 4
3 4 4
2 3 0
1 0 2
3 5 5
1 5 4
10 4
2 0 3
3 3 3
3 3 0
2 2 0
0 3 2
3 0 0
0 2 3
2 3 1
2 3 0
1 3 2
10 8
3 1 3
2 0 0
3 2 2
0 3 3
3 1 1
0 1 2
2 0 3
2 2 1
1 0 3
0 1 1
10 7
0 2 2
2 3 3
4 3 0
4 1 0
1 3 4
4 1 4
4 2 1
0 4 4
2 4 0
3 4 0
10 6
0 3 0
0 0 0
2 0 1
2 0 2
0 2 3
3 2 1
2 1 1
0 1 0
0 0 3
2 0 0
10 4
0 3 3
3 1 3
3 0 3
3 3 0
1 1 2
1 1 3
0 3 2
0 3 0
2 1 2
0 2 1
10 7
3 2 1
2 2 2
0 0 1
0 1 0
0 3 3
2 0 2
2 3 0
0 3 0
0 0 3
2 3 3
10 9
1 2 0
0 5 3
0 2 4
5 1 3
3 0 2
3 0 5
4 4 3
3 3 3
2 4 2
2 0 5
10 5
1 5 2
2 2 2
5 0 5
0 0 4
3 3 2
5 3 5
2 2 3
1 5 5
0 3 1
2 3 0
10 8
0 2 2
4 2 1
1 0 3
0 3 4
3 1 1
3 1 3
2 4 3
2 4 2
3 2 1
0 4 4
10 2
2 2 1
0 2 0
3 2 0
0 0 0
0 3 0
2 0 1
1 3 0
3 0 1
1 3 1
1 0 1
10 9
3 2 1
0 4 2
4 1 2
1 3 0
2 0 2
2 2 3
3 1 0
3 4 3
2 4 0
1 1 2
10 7
3 2 3
2 3 1
3 2 1
0 1 3
2 1 1
0 3 2
2 2 0
3 0 1
3 1 3
3 1 1
10 7
2 3 0
5 3 4
3 3 2
2 4 0
4 3 5
2 1 1
4 5 5
3 4 1
1 5 5
0 5 4
10 8
0 1 2
2 1 0
0 0 3
0 3 3
2 0 3
0 3 1
3 2 0
1 0 1
0 1 0
1 1 1
10 3
0 2 4
1 4 2
2 3 4
1 3 4
0 3 0
4 4 0
4 1 1
3 3 4
2 4 4
3 1 1
10 4
2 3 0
2 1 0
2 3 1
2 0 0
2 2 3
2 0 1
2 1 2
1 0 0
2 2 0
1 1 3
10 9
1 2 0
2 2 2
1 1 1
0 2 0
1 1 2
0 2 2
0 0 1
0 1 2
1 0 0
0 0 2
10 6
4 1 0
0 4 5
4 5 5
0 3 1
0 5 1
4 1 4
3 0 2
4 1 5
4 4 1
0 2 0
10 3
0 2 0
2 1 2
2 3 0
1 0 2
1 2 1
3 0 0
1 1 3
0 0 1
2 2 2
0 3 1
10 5
1 0 1
1 2 1
2 0 1
1 2 0
2 0 2
0 2 2
0 1 2
1 2 2
0 0 1
1 1 0
10 5
1 2 2
4 3 0
0 4 3
2 4 1
3 1 0
2 1 0
2 2 0
4 3 4
0 2 4
4 4 1
10 5
3 1 2
0 2 0
0 3 1
3 2 3
1 0 3
0 1 3
1 2 0
1 0 1
1 2 2
1 1 3
10 9
2 2 1
2 1 3
1 3 1
0 4 1
2 1 4
2 4 2
0 2 0
1 1 0
2 2 4
2 3 3
10 6
1 3 2
2 1 3
1 2 2
0 1 0
3 2 2
1 0 0
0 1 1
1 2 0
2 0 1
3 3 3
10 5
1 1 1
0 1 2
1 2 1
1 1 0
2 0 0
1 0 1
1 2 0
0 0 0
2 2 1
2 0 2
10 4
2 2 3
5 0 4
2 1 3
4 0 0
3 4 2
5 5 4
2 2 2
0 5 1
0 3 0
5 4 3
10 9
1 2 2
3 4 5
5 2 5
5 1 1
0 3 5
2 5 5
1 3 1
0 1 1
1 3 5
0 2 2
10 9
2 0 2
1 1 0
2 2 1
2 0 0
2 0 1
0 1 1
2 2 0
1 1 2
0 0 2
1 0 0
10 6
1 1 2
2 1 2
3 2 0
3 3 3
0 2 3
3 0 0
1 2 2
0 3 2
3 3 1
1 1 0
10 3
0 3 1
3 1 1
0 2 2
3 3 0
0 1 1
1 2 0
1 1 1
3 0 2
1 0 3
2 0 2
10 5
1 0 2
1 1 0
3 2 0
2 2 1
3 2 3
3 1 2
1 0 3
1 3 1
0 1 0
2 0 3
10 7
2 3 2
2 3 0
2 1 0
1 1 2
3 0 2
3 1 2
0 3 0
0 2 3
0 1 1
2 0 1
10 9
5 3 0
2 4 4
1 4 0
4 3 5
0 0 3
2 3 1
2 4 0
5 0 0
1 4 2
4 5 5
10 5
0 4 2
1 0 3
5 3 0
3 3 5
3 4 5
2 3 2
1 5 2
5 4 5
1 3 0
4 0 5
10 6
1 1 0
2 2 3
3 3 4
4 1 0
3 3 0
2 2 0
4 1 4
4 3 1
3 0 1
4 4 2
10 7
2 3 0
1 2 0
2 0 0
0 1 2
2 0 1
0 0 0
3 3 3
3 3 0
1 3 2
3 3 1
10 5
4 3 2
2 0 0
4 1 3
1 4 3
3 0 4
4 3 1
2 2 3
0 1 3
1 4 0
3 0 3
10 6
0 1 0
0 4 1
0 2 4
0 4 0
0 3 3
2 2 0
4 4 2
1 2 0
1 2 2
3 3 2
10 7
3 3 1
3 2 0
3 1 3
2 2 2
1 3 2
3 0 1
3 1 1
0 0 3
2 1 0
1 3 1
10 6
4 3 4
1 3 3
3 2 4
2 1 1
4 1 3
2 3 1
0 0 0
2 2 1
1 3 1
0 0 3
10 5
0 0 5
3 1 5
2 5 2
2 3 0
2 1 2
4 2 1
4 3 4
0 3 3
3 0 3
4 0 1
10 6
0 2 3
5 1 5
0 1 1
3 4 1
1 3 1
5 1 4
2 3 5
4 5 0
4 0 3
5 5 3
10 2
1 2 0
0 1 2
0 3 2
2 1 2
2 0 0
2 1 0
3 0 1
1 2 3
1 1 1
0 3 0
10 5
0 0 1
0 2 0
0 0 0
0 1 1
1 2 2
1 0 1
2 1 2
2 1 1
1 1 1
0 1 0
10 9
0 2 0
1 2 0
2 1 2
1 1 2
2 1 0
2 0 1
2 0 2
0 2 2
0 0 2
1 1 1
10 4
3 1 5
1 3 1
2 1 4
3 5 4
3 0 3
0 1 0
2 2 2
5 4 5
2 3 4
1 1 5
10 7
0 1 1
2 2 1
3 0 1
1 0 1
1 3 1
1 1 3
2 0 0
0 3 3
0 3 2
3 2 0
10 7
3 2 2
1 1 2
2 2 0
2 0 2
1 0 3
1 2 1
3 2 1
0 3 2
3 0 3
3 2 3
10 6
3 1 0
4 0 3
3 1 1
4 4 4
3 4 4
0 4 3
1 1 2
2 2 4
4 4 2
4 0 2
10 6
1 2 0
2 0 0
1 2 1
1 0 0
1 0 2
1 1 2
1 2 2
0 1 0
0 1 1
0 2 0
10 5
1 0 0
3 3 3
1 2 4
1 4 1
1 1 3
3 3 1
4 0 1
1 1 4
3 4 3
2 2 2
10 6
2 5 1
2 1 0
0 0 4
0 5 4
4 1 1
0 4 0
0 3 5
4 1 2
4 4 3
1 4 3
10 8
3 0 3
0 4 3
5 0 4
5 2 1
3 5 3
0 5 3
2 4 0
4 2 5
1 3 4
4 5 2
10 9
1 4 2
1 3 0
1 3 4
4 1 1
1 4 4
4 3 2
0 4 3
1 4 0
0 1 2
4 2 4
10 5
4 2 2
1 3 1
2 3 2
3 1 0
0 3 1
2 4 4
2 1 0
0 3 3
4 1 4
2 4 2
10 7
4 3 4
3 3 1
2 2 4
1 4 0
0 4 2
3 4 2
1 1 2
4 3 3
3 2 4
1 2 4
10 6
1 1 0
0 3 2
4 0 2
4 4 3
2 4 0
0 0 2
3 1 3
4 4 1
0 2 0
2 2 4
10 4
2 0 2
2 2 2
0 0 1
2 2 1
1 0 0
1 0 1
0 0 2
2 2 0
1 2 0
0 2 0
10 6
0 4 2
0 4 1
2 0 2
4 2 4
1 4 3
3 2 3
2 4 0
2 3 3
0 4 3
2 1 0
10 4
0 2 0
0 2 2
0 1 1
2 1 1
1 2 2
2 2 0
1 1 2
2 2 1
1 2 0
1 0 2
10 5
2 5 3
0 0 2
5 0 1
2 5 1
4 1 4
0 3 5
5 5 1
0 4 2
2 0 0
3 1 5
10 7
0 0 0
0 3 2
3 3 1
4 4 3
2 1 0
4 0 4
2 4 1
4 4 1
1 2 2
2 1 2
10 7
2 3 2
1 3 0
3 0 2
3 3 1
1 2 3
1 1 2
0 1 3
1 3 1
3 0 3
2 0 1
10 2
0 1 1
2 1 1
1 2 1
0 1 2
0 1 0
0 0 0
2 0 2
0 2 0
1 1 1
0 0 1
10 2
1 1 2
0 1 2
2 1 1
1 0 1
2 1 2
0 1 1
0 1 0
1 2 1
1 0 2
2 0 1
10 7
1 3 1
3 4 1
3 2 2
4 1 3
4 3 2
2 2 3
4 3 1
1 4 3
0 1 0
0 3 0
10 3
1 0 2
0 4 2
1 2 3
1 1 3
2 2 3
4 3 4
3 4 4
5 0 1
4 3 2
4 4 4
10 3
1 0 2
0 1 1
0 5 2
5 1 2
5 0 5
3 5 3
4 0 1
2 0 2
4 1 5
5 5 1
10 2
0 2 3
0 2 2
2 0 3
3 0 1
1 0 2
1 2 3
3 2 0
2 0 1
0 1 3
2 3 1
10 2
1 2 2
0 0 1
0 2 0
1 2 0
2 0 0
1 0 2
1 1 1
0 1 1
2 1 2
0 2 1
10 4
0 5 5
1 5 3
2 3 3
3 0 5
1 0 5
3 3 2
2 1 0
2 0 2
2 4 3
3 0 0
10 8
2 2 3
3 3 0
1 2 0
2 3 2
0 3 3
0 2 0
0 1 3
3 2 1
3 1 3
1 0 3
10 6
1 2 0
0 1 0
0 3 2
1 0 0
1 3 0
0 1 1
0 2 3
0 1 3
2 0 0
2 3 3
10 4
2 2 0
0 2 2
1 2 0
2 0 1
1 1 1
2 0 2
2 1 2
0 1 2
2 2 1
0 0 2
10 7
2 0 1
1 2 1
2 0 2
1 1 0
0 1 2
2 0 0
0 0 1
2 2 1
1 2 2
2 2 2
10 6
1 4 3
3 1 1
1 0 3
3 0 4
4 1 1
4 3 4
3 1 2
2 1 4
2 0 4
2 0 2
10 4
2 1 0
1 0 2
2 2 1
3 1 3
0 2 3
1 1 2
0 3 0
2 1 3
3 3 1
3 1 0
10 5
1 0 2
2 1 2
0 0 2
2 0 0
2 2 2
0 1 1
1 1 2
1 0 1
2 2 0
1 2 2
10 4
1 3 2
4 2 1
4 1 1
3 4 0
2 1 1
1 2 3
2 4 0
0 3 3
1 1 1
3 0 2
10 7
2 2 4
4 0 0
2 0 2
3 3 4
4 2 0
1 0 1
3 3 1
3 4 2
2 4 1
0 4 0
10 3
3 1 2
0 4 4
4 1 2
0 3 0
4 4 1
1 1 2
4 2 3
3 4 3
4 4 0
4 0 2
10 6
2 3 0
1 3 1
3 2 1
3 0 2
0 3 2
1 0 3
1 0 0
2 2 2
0 1 2
3 3 0
10 6
3 2 3
2 2 1
1 1 1
3 1 1
4 0 0
4 4 3
1 0 1
0 1 3
2 2 4
4 4 1
10 7
4 2 0
3 3 1
2 3 3
3 0 5
2 5 2
5 1 3
2 1 4
0 0 4
4 1 5
3 5 5
10 7
1 2 2
3 2 3
1 2 1
2 3 3
2 0 1
1 0 0
2 1 2
3 0 2
2 3 1
0 0 0
10 9
3 3 0
2 1 1
3 1 0
3 3 1
2 3 3
0 1 0
1 0 1
3 3 3
3 0 0
2 0 2
10 7
4 2 3
1 3 1
4 1 1
2 0 3
0 1 1
2 4 3
4 0 4
3 0 2
3 1 4
4 3 1
10 7
0 2 1
1 2 1
3 1 3
1 3 3
2 3 1
0 0 3
1 2 0
3 3 1
1 1 1
0 1 0
10 2
5 2 3
4 4 5
0 2 3
0 0 4
2 3 4
2 3 5
3 5 4
3 4 1
1 0 4
5 2 1
10 5
1 0 3
5 2 3
4 4 3
3 3 4
3 3 1
2 0 4
3 0 3
4 1 0
3 4 2
3 0 0
10 3
5 4 5
2 3 3
5 0 5
3 5 4
1 3 1
3 0 5
3 3 0
3 3 1
2 4 1
2 5 4
10 2
2 3 3
1 2 3
2 3 2
1 1 3
0 0 3
3 0 2
2 1 1
2 1 3
2 2 3
3 1 2
10 2
0 2 1
2 0 0
0 0 2
0 2 0
2 2 2
1 0 1
2 1 2
2 2 0
0 2 2
1 1 2
10 6
0 3 2
4 1 1
1 3 3
3 3 2
1 0 4
1 3 0
1 2 2
4 0 3
4 4 3
0 3 0
10 7
1 0 0
0 0 1
2 2 0
2 2 2
1 0 1
1 1 0
0 0 0
0 2 1
1 1 2
2 0 0
10 2
5 3 2
3 5 4
4 2 3
2 4 4
3 1 1
1 5 5
1 0 4
0 1 3
5 5 1
4 5 1
10 2
1 0 2
4 1 0
3 2 2
3 3 3
2 2 5
4 3 3
5 2 3
3 4 3
0 0 1
4 5 3
10 7
2 2 2
3 0 2
2 1 0
3 1 2
2 2 0
0 1 2
3 3 2
2 1 3
3 2 3
1 2 1
10 2
0 1 2
2 3 4
0 1 1
1 1 0
4 2 3
4 4 1
4 4 2
1 0 1
0 3 0
0 4 0
10 2
2 4 1
1 4 1
5 2 3
1 0 1
2 0 0
3 2 1
3 3 1
3 0 4
1 0 3
3 0 5
10 8
2 0 2
3 1 1
3 3 0
2 0 1
0 1 0
3 3 1
1 1 3
2 3 3
1 0 1
0 3 2
10 8
1 2 3
0 0 2
0 3 0
2 2 1
2 2 3
3 3 1
2 0 1
3 3 0
1 1 0
0 0 0
10 9
2 1 3
3 1 0
1 4 1
0 4 1
2 0 3
4 1 2
1 2 3
3 1 2
2 2 3
2 2 2
10 8
3 2 3
0 4 4
0 0 2
2 2 4
4 0 1
3 3 3
1 4 1
1 3 1
0 2 1
2 2 0
10 6
2 3 3
2 1 2
2 4 4
4 3 4
3 3 1
0 1 3
1 4 1
0 2 2
2 2 3
2 4 0
10 6
1 0 3
3 2 2
1 1 2
0 2 2
3 1 2
3 0 2
3 1 0
0 0 0
0 2 1
3 3 3
10 4
0 4 1
0 1 0
3 0 0
4 1 4
4 4 3
4 1 0
3 3 2
2 3 4
2 4 0
4 3 3
10 2
2 1 1
3 0 3
0 3 3
0 0 0
0 1 1
2 2 1
2 0 3
0 2 0
1 0 3
3 2 1
10 2
5 0 0
0 0 1
1 4 2
2 2 4
0 4 1
4 4 1
4 2 0
5 1 1
1 5 1
1 3 3
10 5
0 1 1
0 4 1
1 3 2
1 1 1
0 2 2
2 0 0
2 1 0
2 4 1
3 3 2
1 3 4
10 3
0 0 2
1 1 2
1 1 1
2 2 1
0 2 1
2 0 1
2 1 0
1 0 2
2 1 1
1 0 0
10 9
0 0 0
4 3 2
2 0 1
2 4 0
3 3 4
0 3 2
3 1 3
1 4 2
3 3 0
3 1 0
10 3
2 2 0
0 0 2
0 2 0
2 0 1
1 2 0
2 1 0
0 0 1
2 1 2
1 0 1
1 0 2
10 8
1 0 3
2 0 3
2 2 3
0 0 0
3 2 3
3 1 0
3 0 1
1 2 2
3 0 0
1 0 0
10 8
3 0 1
1 4 5
5 3 2
1 1 2
1 4 2
4 1 1
4 2 2
4 1 0
1 2 1
5 4 3
10 6
5 0 3
1 4 5
3 1 3
1 1 5
1 5 0
0 4 3
0 0 5
4 2 1
0 2 3
2 0 3
10 3
2 2 0
2 1 2
0 2 0
1 2 1
1 2 0
0 2 2
1 0 1
2 2 1
1 1 0
2 1 0
10 4
3 3 3
3 1 2
3 3 1
3 2 2
0 4 3
1 2 2
4 0 4
1 1 0
0 3 0
2 1 4
10 7
4 0 3
3 2 1
1 2 0
0 0 2
0 3 3
1 4 5
2 4 3
3 4 1
1 1 3
4 5 1
10 6
4 3 5
4 2 2
4 5 0
1 2 2
0 2 0
4 0 2
1 0 0
5 0 5
2 5 1
1 2 5
10 3
0 5 3
0 5 0
1 3 1
3 2 4
2 4 4
0 5 4
5 5 1
0 3 3
3 4 5
4 2 4
10 4
3 1 3
1 3 0
2 3 1
2 0 1
2 3 0
3 1 1
2 2 1
0 0 1
0 2 0
0 0 0
10 4
4 2 3
3 0 1
3 3 3
0 0 2
4 1 3
4 4 1
2 0 4
2 1 1
0 2 1
1 1 2
10 5
0 2 0
2 0 0
0 2 1
1 2 0
1 1 0
2 0 1
0 0 2
1 0 1
2 1 0
1 2 2
10 7
0 2 2
1 2 3
0 3 1
3 0 3
2 0 2
2 0 1
3 2 1
3 0 1
3 0 2
2 2 3
10 7
4 0 1
0 1 4
2 3 4
2 4 4
1 2 4
2 2 2
2 2 1
3 4 2
0 3 3
0 1 1
10 8
1 3 3
4 3 5
1 1 1
1 5 5
0 1 4
0 0 5
5 2 3
4 2 0
4 5 4
4 4 1
10 5
2 0 2
3 1 0
2 3 0
1 3 0
4 1 2
1 4 3
0 3 4
1 1 2
1 3 3
4 0 0
10 5
0 3 4
2 1 3
2 2 0
3 3 4
0 4 0
3 0 1
2 0 1
4 1 4
3 3 3
1 1 4
10 9
3 5 2
1 0 1
1 1 2
4 4 5
1 1 1
1 5 0
0 0 2
0 2 0
0 0 3
0 3 3
10 2
3 4 1
4 3 4
3 4 3
0 1 0
4 3 0
4 0 1
2 3 0
2 1 1
1 2 4
3 1 3
10 5
1 2 2
1 0 1
0 2 0
2 0 2
1 0 2
1 1 2
0 1 1
1 2 0
2 1 0
1 1 1
10 7
2 0 3
1 0 1
3 2 1
1 0 0
2 2 3
1 2 3
3 0 1
2 2 1
3 3 1
2 1 2
10 6
0 1 3
1 1 3
0 2 0
1 2 1
0 2 2
3 0 3
3 0 1
1 0 2
0 3 0
2 0 0
10 4
0 4 2
4 1 4
4 3 1
1 3 0
4 2 2
3 3 0
2 0 2
3 0 0
0 4 3
1 1 3
10 7
3 4 2
1 2 4
1 3 0
3 1 4
3 2 0
3 3 0
4 0 1
0 1 0
4 4 3
3 2 4
10 4
1 0 0
0 0 0
2 2 2
0 1 0
2 1 0
1 2 2
2 2 0
0 0 2
2 2 1
1 2 1
10 3
2 1 2
2 0 3
1 1 2
1 1 0
2 1 3
1 0 3
0 3 1
1 2 0
0 2 3
0 1 2
10 3
1 0 1
0 2 1
0 0 0
2 2 0
2 1 1
1 1 1
2 1 0
2 0 0
0 2 0
0 0 2
10 5
3 1 0
0 3 2
3 4 3
1 2 4
0 3 0
3 2 1
1 3 1
3 0 3
3 1 1
3 4 1
10 8
5 1 1
2 5 4
5 2 4
4 2 0
3 4 4
5 2 1
4 3 5
1 5 3
4 3 0
3 0 1
10 2
1 2 1
2 2 1
1 0 0
0 0 2
0 0 1
0 1 2
2 0 1
2 0 0
2 1 0
0 2 0
10 5
4 4 4
2 2 0
2 0 0
2 3 0
0 4 2
2 0 1
1 1 1
2 3 1
3 2 1
0 4 4
10 2
1 2 0
2 1 1
0 2 0
2 2 0
2 1 0
2 0 0
1 1 0
2 0 2
1 2 2
1 0 1
10 8
2 3 1
1 3 3
3 0 2
1 2 0
0 3 3
3 1 0
3 1 3
0 1 2
0 1 1
0 2 3
10 8
2 1 2
0 1 0
0 1 2
1 1 2
2 0 0
0 0 2
0 2 2
1 0 1
2 0 2
1 2 2
10 4
1 0 0
1 2 0
1 2 2
2 1 1
2 2 1
2 2 0
0 0 2
1 0 1
0 1 2
1 1 0
10 5
1 2 1
2 1 2
0 1 1
0 2 0
0 1 2
1 2 0
0 2 1
0 0 0
1 1 0
1 0 2
10 9
1 1 2
2 2 1
1 2 0
1 0 1
2 0 1
2 0 2
1 1 0
1 0 2
1 0 0
2 0 0
10 5
3 1 3
1 3 3
1 1 0
1 2 3
3 0 2
1 0 3
0 2 1
3 3 1
0 0 2
2 0 3
10 9
1 5 2
4 2 1
1 3 5
5 1 2
3 3 4
2 2 3
1 4 0
1 3 1
0 5 1
4 3 2
10 9
4 2 3
1 1 3
4 4 1
4 3 2
2 4 3
2 0 0
1 3 0
0 1 2
4 0 2
0 0 2
10 6
0 1 5
5 0 0
4 2 0
0 2 0
1 2 1
2 0 5
1 3 0
5 4 4
5 2 3
1 3 5
10 2
3 0 1
1 1 1
0 3 1
2 2 2
1 2 3
1 1 2
1 0 0
0 0 1
3 1 2
3 3 1
10 2
1 4 3
2 2 2
3 1 4
4 2 0
1 0 3
1 3 1
4 1 5
5 3 2
5 3 1
4 5 3
10 8
5 2 4
4 2 4
2 4 1
4 5 2
3 2 0
1 2 2
4 1 0
4 2 5
0 2 0
4 4 5
10 9
1 0 2
2 2 0
0 2 2
2 1 0
0 1 0
2 0 2
2 1 1
1 0 1
2 0 0
2 2 1
10 4
5 0 5
2 2 1
0 5 2
5 1 4
3 0 0
2 4 5
3 2 3
3 1 2
3 0 3
1 4 4
10 9
2 4 4
3 4 2
3 1 2
4 2 3
2 3 5
4 3 3
2 0 3
1 2 3
5 5 1
5 5 3
10 8
3 0 0
1 2 2
1 2 1
0 3 2
0 0 2
1 2 3
2 0 1
1 0 1
3 3 2
1 1 3
10 5
3 3 2
3 2 0
3 0 1
3 0 2
0 2 2
3 3 3
3 3 0
2 0 0
0 3 2
2 3 2
10 8
0 0 2
5 5 5
5 2 1
5 4 2
0 2 2
5 4 5
3 0 4
2 3 1
3 5 4
2 3 2
10 9
2 2 0
2 0 0
2 0 1
2 1 1
1 2 0
1 1 1
1 1 2
0 2 1
2 1 0
1 0 1
10 3
0 2 0
0 2 2
1 1 1
2 0 2
0 1 2
2 1 2
2 2 2
0 1 1
2 2 1
2 0 0
10 2
1 2 0
3 0 2
0 2 2
0 1 1
2 3 1
1 0 2
2 0 3
3 2 0
0 3 1
3 1 1
10 6
0 2 3
3 0 0
0 0 2
2 0 2
2 2 3
1 0 1
2 3 0
2 1 3
1 3 2
1 1 2
10 3
0 0 0
2 2 1
1 0 2
0 1 1
0 1 0
2 0 2
2 2 0
0 2 2
2 0 1
1 2 1
10 3
4 3 4
0 4 2
4 3 1
1 4 3
1 1 0
0 4 4
2 1 2
1 3 2
0 4 1
2 4 0
10 5
1 1 0
2 2 2
2 2 0
2 0 0
1 2 1
2 2 1
2 0 2
0 2 2
2 1 2
0 2 1
10 3
4 2 4
1 2 4
3 1 4
4 4 0
3 1 1
4 1 4
4 0 3
1 0 0
0 0 1
2 2 3
10 6
3 2 5
0 0 2
1 2 0
2 5 1
5 4 4
0 5 4
3 3 0
4 3 4
1 5 5
1 2 3
10 3
3 2 1
4 2 3
5 2 4
1 0 0
4 1 3
0 4 5
5 0 5
3 3 5
4 1 2
5 5 5
10 8
3 3 1
3 4 2
3 0 3
2 3 4
0 2 5
0 4 1
1 1 5
2 1 5
2 2 4
5 2 2
10 6
2 1 1
0 0 0
1 2 0
1 1 1
0 0 2
0 1 0
2 0 0
1 0 0
0 1 2
2 1 0
10 7
2 2 1
1 1 1
1 1 2
1 1 0
2 1 0
2 0 0
2 2 2
1 2 0
0 0 2
2 2 0
10 7
1 0 2
0 0 3
2 0 1
1 3 1
2 1 3
3 2 0
2 0 2
0 1 2
1 2 2
1 0 3
10 7
4 2 4
0 4 2
1 4 1
3 3 2
4 4 3
3 1 0
3 2 1
1 0 0
2 3 1
3 3 1
10 5
4 0 4
2 1 0
2 2 2
3 3 0
1 2 4
2 1 3
2 2 3
0 0 0
3 2 1
0 1 1
10 3
3 2 1
2 4 2
3 2 4
2 4 1
0 2 2
2 1 4
3 3 3
4 2 4
3 0 4
3 3 0
10 9
0 2 1
2 0 0
3 2 0
0 3 3
2 3 1
3 0 0
2 1 2
3 0 1
0 1 1
1 3 3
10 6
4 4 1
2 3 3
2 1 3
1 0 1
4 0 0
1 2 0
1 2 3
0 4 0
4 2 2
2 2 0
10 6
2 3 1
3 5 5
4 0 1
1 0 1
3 4 3
0 0 3
2 2 5
2 2 1
2 1 0
4 2 4
10 6
2 0 1
1 1 0
0 0 0
0 1 1
0 1 2
2 1 0
2 0 0
2 1 2
1 2 0
2 0 2
10 4
2 5 3
3 5 4
1 1 1
5 1 0
0 0 2
2 4 3
5 5 2
5 3 1
4 4 2
4 2 1
10 7
1 0 2
3 3 1
1 3 1
2 3 2
3 0 0
3 0 3
1 2 3
2 2 0
1 2 1
0 2 2
10 4
2 3 0
4 1 1
4 3 4
3 2 4
3 2 3
3 4 2
0 2 2
0 3 0
1 3 3
4 2 0
10 8
5 4 4
5 3 5
2 0 0
3 0 0
4 5 1
1 0 0
4 1 3
1 2 2
3 3 4
4 5 2
10 7
0 1 0
4 1 1
3 4 2
2 2 3
4 2 4
0 2 0
1 1 0
3 3 0
1 0 3
0 3 3
10 8
3 3 0
1 0 2
0 2 1
1 3 2
2 0 0
4 2 1
0 5 4
3 2 2
3 5 4
3 1 1
10 3
2 0 1
1 1 1
0 0 2
0 2 1
1 2 1
0 1 1
0 1 0
0 2 2
1 0 2
0 1 2
10 9
3 0 0
1 2 0
4 3 0
4 0 4
0 0 4
3 1 4
0 1 2
4 4 2
4 1 2
1 0 1
10 3
3 0 0
1 1 1
2 0 0
2 2 3
0 2 0
0 0 3
2 1 1
2 2 1
2 0 1
2 2 0
10 3
2 1 4
3 4 3
0 0 3
3 3 4
4 4 4
0 2 2
0 4 0
1 4 0
1 1 0
0 4 3
10 6
0 0 2
1 0 2
0 3 0
3 0 1
2 2 3
2 3 2
2 0 3
1 3 3
2 3 0
1 1 2
10 5
1 3 1
5 1 2
0 5 3
0 3 2
3 4 2
0 0 1
0 1 2
1 2 0
1 1 5
0 0 3
10 6
3 3 1
2 2 3
0 0 2
0 3 2
2 1 3
2 2 0
2 3 1
0 3 3
0 2 2
3 0 2
10 6
1 0 0
0 2 0
2 0 2
0 1 3
3 3 0
0 3 0
3 0 2
2 0 1
3 0 1
0 2 3
10 3
1 1 3
1 2 0
3 3 0
1 2 3
3 0 3
0 3 1
0 0 0
3 3 3
3 3 2
0 1 0
10 2
2 1 5
0 2 4
4 2 2
3 1 0
3 3 5
0 0 4
3 2 4
4 1 2
0 1 4
2 3 0
10 8
1 0 2
1 0 0
1 1 0
0 0 0
0 0 1
2 0 2
1 0 1
2 1 2
2 1 1
2 0 0
10 5
0 2 2
2 2 3
0 3 3
1 2 3
2 0 1
1 1 3
0 1 0
2 3 1
1 0 0
1 3 3
10 8
0 2 0
2 1 2
1 2 2
0 0 2
2 1 0
1 1 1
1 2 1
2 2 1
0 1 1
1 0 0
10 8
5 4 3
1 5 1
3 2 2
0 5 0
2 5 5
3 4 2
3 3 4
3 4 5
4 2 4
1 4 0
10 8
1 1 2
1 2 0
3 2 2
3 2 0
3 3 3
2 0 0
0 2 2
2 0 3
2 1 2
0 0 1
10 6
1 0 0
0 0 1
1 1 1
2 1 0
0 2 1
1 1 2
1 0 2
1 2 1
0 0 0
1 2 0
10 2
4 0 4
0 2 0
3 1 1
3 4 3
0 3 2
0 1 1
4 4 4
1 3 2
1 2 3
4 3 3
10 3
0 2 1
1 2 2
0 2 0
0 0 1
0 2 2
2 2 0
0 1 1
1 1 1
0 0 2
2 1 2
10 7
4 0 3
3 4 2
2 0 2
4 4 3
4 4 2
4 2 3
2 2 1
0 1 3
3 0 4
2 1 1
10 4
1 2 0
1 2 1
0 2 0
2 1 1
2 2 0
0 0 1
0 2 2
1 2 2
0 2 1
1 1 1
10 7
0 1 2
0 0 1
2 4 5
2 1 2
5 5 1
0 4 4
0 5 1
0 3 4
0 0 3
5 4 1
10 3
2 1 3
4 4 0
0 2 1
0 1 4
2 3 4
3 3 1
0 2 2
3 2 2
0 0 0
1 2 2
10 4
1 0 2
2 1 1
0 1 0
1 1 2
0 0 0
2 2 1
2 0 1
2 1 2
1 2 0
0 2 0
10 7
2 1 2
1 3 2
1 2 4
2 4 0
0 4 1
1 3 4
3 2 0
1 2 0
0 0 2
1 2 1
10 2
3 1 3
1 2 0
0 3 3
1 2 3
2 1 2
1 3 0
2 2 1
0 3 0
0 0 0
3 2 1
10 7
1 2 4
2 3 3
2 0 4
1 3 4
1 0 4
3 0 3
1 0 2
4 0 1
2 1 2
0 0 3
10 2
1 2 2
0 1 0
0 2 1
2 0 2
1 2 1
0 1 2
2 1 1
1 1 1
1 0 1
1 1 2
10 6
0 0 0
2 0 1
0 0 2
2 2 1
1 0 2
2 2 0
0 0 1
1 1 1
0 2 1
2 0 0
10 5
0 3 4
1 4 1
0 4 3
1 2 3
4 1 4
2 3 2
0 0 1
3 2 0
0 2 0
3 0 4
10 6
4 2 1
0 2 4
3 2 3
3 0 3
5 0 1
4 4 4
1 0 1
1 2 1
1 3 2
3 4 4
10 6
5 4 0
0 2 2
1 5 0
1 3 4
1 4 0
2 3 0
1 4 3
0 2 0
2 2 1
3 5 5
10 7
2 2 2
2 0 0
2 1 2
0 2 1
1 1 2
0 1 1
0 0 0
2 1 0
0 2 2
0 1 0
10 6
0 3 2
3 1 2
3 3 1
1 2 3
1 2 2
3 0 2
0 3 3
2 1 0
2 2 0
3 3 3
10 5
2 1 0
2 0 1
1 1 0
2 2 0
1 2 2
1 1 1
2 2 2
2 0 0
1 0 1
0 1 1
10 2
2 3 5
5 2 0
3 0 1
4 3 0
4 4 3
4 2 0
1 0 4
1 5 3
2 3 2
1 4 4
10 2
3 1 0
0 0 1
0 1 0
0 2 1
1 2 2
1 1 0
2 3 2
0 3 3
3 3 0
2 3 1
10 6
0 2 4
2 4 2
3 2 2
0 4 3
4 2 2
3 3 2
3 0 2
0 1 4
4 0 1
4 1 1
10 3
4 0 5
0 5 5
4 4 0
0 4 5
1 1 0
2 2 4
3 1 2
1 1 3
4 3 1
0 5 0
10 8
0 1 4
3 1 2
0 0 0
0 1 1
0 3 2
4 1 4
2 4 4
2 0 2
3 4 0
3 4 1
10 9
1 3 3
3 1 2
3 2 2
4 1 2
2 3 0
3 3 2
0 1 1
0 3 2
4 4 4
4 4 3
10 4
0 1 1
3 2 2
2 3 0
1 0 2
1 0 3
2 2 0
0 1 3
3 1 0
3 3 1
0 0 0
10 7
1 0 0
1 0 2
1 2 0
2 1 2
0 1 2
1 1 2
1 1 0
1 0 1
1 2 2
0 0 1
10 4
1 1 0
2 0 1
2 2 0
2 1 2
1 0 1
0 2 2
2 2 2
1 0 2
0 0 1
0 2 0
10 3
2 2 0
1 0 0
4 1 0
3 1 3
4 3 4
4 2 1
0 0 3
4 2 0
2 0 2
2 0 0
10 2
3 3 0
2 4 3
1 3 2
4 4 4
2 0 2
1 2 1
0 3 0
1 3 4
0 3 4
0 0 4
10 2
5 2 5
3 5 5
5 0 3
1 4 5
1 2 5
4 5 3
2 4 1
5 1 4
3 5 4
1 4 1
10 2
1 1 0
3 0 0
2 0 2
0 3 0
0 1 2
1 2 1
2 2 0
3 3 3
3 0 2
3 1 3
10 6
0 4 2
0 1 2
3 0 1
0 0 2
0 0 0
4 3 0
2 3 1
1 2 2
4 0 1
3 4 4
10 4
0 1 1
0 3 3
1 3 3
3 1 2
2 0 0
0 0 3
3 0 2
2 0 1
0 2 1
3 3 0
10 3
4 3 4
4 0 2
4 1 2
4 0 3
2 1 2
3 4 3
2 3 1
1 2 0
3 1 3
4 1 1
10 5
0 1 1
3 2 3
2 3 2
0 1 3
3 0 3
0 0 0
0 0 3
1 3 0
2 0 2
1 0 1
10 5
1 2 0
1 0 1
0 0 0
2 0 2
0 0 2
1 0 2
0 1 2
1 1 0
0 1 1
1 2 2
10 7
4 1 1
2 4 2
2 0 0
2 0 4
4 3 4
2 3 3
2 0 3
4 0 1
4 3 2
1 4 4
10 2
3 1 2
2 0 3
0 1 2
1 1 0
1 0 0
2 1 3
0 2 0
2 2 2
3 3 3
2 1 0
10 3
4 1 3
2 2 4
0 4 1
1 4 1
2 0 2
4 0 2
3 2 0
1 4 3
3 2 3
2 2 2
10 3
0 2 1
0 2 2
2 1 0
2 2 0
1 2 2
1 2 1
2 2 1
1 1 0
1 2 0
0 0 2
10 7
3 4 3
3 3 1
3 0 5
5 2 4
2 4 4
4 5 0
3 1 4
2 0 3
2 5 4
4 1 1
10 7
0 1 5
2 4 2
4 4 0
2 0 0
3 5 3
4 4 5
3 5 2
1 4 0
3 3 5
1 1 3
10 7
2 0 1
1 1 0
0 3 1
2 1 1
0 3 3
1 3 3
1 0 0
2 0 0
2 1 2
1 0 1
10 2
0 2 1
3 3 3
1 2 0
3 0 3
2 3 3
2 0 3
1 0 1
2 1 2
2 2 2
2 3 1
10 6
4 1 5
2 2 0
2 5 5
4 0 4
3 2 4
1 5 4
5 4 2
1 3 5
0 0 4
0 0 0
10 9
1 4 1
3 0 2
1 1 0
4 2 3
0 3 0
0 1 2
4 3 4
0 4 1
4 1 3
3 1 2
10 6
3 4 3
0 2 0
1 3 4
2 1 3
4 2 2
0 3 0
1 1 2
2 3 4
3 4 4
2 4 3
10 8
0 2 1
1 2 2
2 1 3
3 2 0
1 0 1
0 0 3
0 3 2
3 2 3
1 3 3
2 0 3
10 7
2 1 2
1 0 1
1 1 0
1 0 3
0 2 2
3 0 3
2 0 2
3 1 0
1 2 1
0 2 1
10 7
4 0 0
1 0 1
1 2 1
1 1 2
1 3 4
1 3 2
3 1 1
2 3 3
4 1 3
2 2 0
10 3
2 0 4
3 3 2
0 1 4
5 4 1
0 3 2
2 5 5
4 1 3
1 5 5
4 0 4
2 4 3
10 5
2 1 2
2 5 2
3 3 2
0 3 0
5 2 5
4 5 0
1 3 4
0 0 1
0 1 4
4 5 3
10 8
0 3 0
0 2 2
3 0 0
0 0 1
2 2 0
2 0 3
1 0 1
1 2 3
1 2 0
0 0 3
10 3
0 1 1
2 0 0
1 0 0
1 2 2
2 2 2
2 1 0
0 0 0
0 0 1
2 2 1
2 1 1
10 3
1 2 2
1 1 2
1 0 2
0 2 1
2 2 0
0 1 0
1 1 0
2 2 1
0 1 2
0 2 2
10 5
0 4 3
3 5 3
2 5 3
0 3 0
2 5 2
5 1 1
2 1 2
2 5 0
2 5 5
3 5 0
10 6
0 3 3
2 3 3
0 2 0
3 0 0
0 0 0
2 2 2
0 3 1
3 3 1
3 3 0
1 2 3
10 8
2 2 1
2 1 1
0 0 0
1 2 0
0 0 1
2 2 2
0 1 1
0 2 1
1 1 2
0 1 0
10 5
2 0 0
3 1 0
0 0 4
4 3 3
2 0 4
1 2 1
2 3 2
0 4 3
4 4 2
0 2 2
10 3
2 1 2
1 2 2
1 2 1
1 2 0
0 0 1
0 2 2
2 0 1
2 2 0
2 1 0
0 1 2
10 4
4 4 3
4 0 2
0 0 4
0 4 4
2 3 3
3 5 5
0 4 0
3 4 5
4 4 2
2 3 5
10 6
2 0 1
0 1 2
2 1 2
0 2 1
2 2 2
2 1 0
0 1 0
0 2 0
1 1 2
2 2 1
10 3
3 5 2
2 1 5
1 0 4
3 5 4
1 5 5
0 4 3
0 5 3
2 0 3
4 5 2
2 5 1
10 4
2 3 0
1 2 2
2 3 1
0 2 1
2 0 1
1 3 3
0 0 1
2 3 2
0 3 3
3 0 3
10 5
2 3 3
2 2 1
1 2 3
3 2 0
0 0 3
2 2 3
0 1 2
0 1 1
1 2 1
3 3 1
10 3
0 0 1
0 2 0
1 2 2
1 0 2
0 1 1
1 0 1
1 1 0
2 1 1
2 2 0
2 0 1
10 3
1 1 2
0 4 2
0 3 3
1 3 4
3 3 0
1 1 3
4 0 0
2 3 3
1 4 2
0 3 1
10 6
3 1 1
1 1 3
0 3 0
0 1 3
2 0 0
3 1 0
0 0 2
1 2 2
2 0 1
0 1 0
10 2
2 0 1
0 0 2
0 0 1
1 0 0
0 1 1
0 2 1
1 1 0
0 1 0
1 1 1
2 2 1
10 5
1 2 2
0 0 0
2 3 0
3 3 0
3 1 3
3 3 1
1 3 3
0 2 1
1 0 0
2 0 0
10 5
2 1 0
1 0 0
1 2 0
1 0 2
0 1 1
1 2 1
2 0 0
2 0 2
0 2 0
2 0 1
10 5
1 1 0
1 0 2
0 0 2
0 0 1
1 2 0
2 1 0
0 2 0
1 0 1
0 1 0
2 1 2
10 8
3 3 3
0 0 2
2 1 3
2 0 2
3 0 0
1 0 3
2 3 0
3 0 1
3 3 0
2 2 1
10 2
0 2 0
0 1 0
1 2 0
0 1 2
2 1 1
1 1 2
2 0 1
1 1 1
0 0 0
1 0 2
10 8
1 1 0
2 2 1
2 0 0
1 0 2
0 0 2
2 1 1
2 2 0
1 2 2
1 0 1
0 2 1
10 2
0 5 1
3 2 5
2 2 3
1 2 5
0 4 4
5 2 5
3 0 5
0 1 0
3 4 5
1 2 4
10 7
3 2 1
2 1 3
1 2 1
2 2 3
0 0 0
1 0 1
0 0 2
3 3 3
3 0 1
0 1 0
10 7
0 3 0
3 2 3
1 3 1
2 3 2
0 3 3
2 1 0
2 0 2
0 2 0
3 1 1
1 1 1
10 3
4 1 1
5 2 4
4 1 2
1 3 5
1 0 3
1 0 2
1 1 2
5 0 1
0 2 3
3 2 2
10 2
0 0 4
1 3 1
2 1 0
3 4 0
3 2 3
1 2 0
5 3 3
2 4 4
2 5 3
0 2 5
10 6
2 1 0
1 2 0
1 0 0
1 2 2
2 1 2
2 1 1
1 1 1
2 2 0
0 2 0
0 0 0
10 3
0 0 2
0 1 1
0 2 2
1 2 2
2 0 0
2 1 1
1 1 0
0 0 0
0 2 1
1 2 0
10 9
0 2 0
3 0 2
2 3 2
3 3 2
3 3 1
0 3 2
3 1 3
1 2 2
0 3 0
1 0 1
10 7
2 2 1
0 2 0
2 2 2
1 1 2
1 2 1
0 2 2
0 1 0
2 0 0
2 0 2
0 0 2
10 2
0 4 1
0 1 4
1 2 3
0 2 0
1 4 4
1 0 3
2 4 1
3 0 2
2 1 3
1 4 1
10 6
0 1 2
2 1 1
1 1 1
0 0 1
2 2 1
2 2 0
0 2 2
1 2 0
0 1 1
2 0 0
10 2
4 0 4
1 0 0
1 0 3
3 3 4
0 4 2
1 3 1
1 3 0
1 4 3
2 3 0
3 2 0
10 5
4 4 2
4 2 0
4 1 3
2 4 3
2 3 3
2 0 4
4 2 2
3 0 4
4 1 2
2 1 3
10 4
3 1 4
1 4 3
0 4 4
0 1 3
2 0 0
4 3 0
1 4 2
1 3 3
4 4 3
3 4 2
10 5
0 2 1
2 2 1
1 1 0
1 0 1
0 1 2
0 1 1
1 2 1
0 1 0
1 2 2
2 0 1
10 6
2 1 3
0 1 3
3 1 2
1 1 0
3 0 0
3 2 0
2 2 2
2 3 0
0 3 1
2 0 3
10 6
2 2 0
1 0 2
2 3 3
4 3 1
0 2 1
0 0 3
3 0 4
1 0 3
0 3 3
1 3 3
10 7
4 3 3
3 0 2
4 1 0
1 1 1
4 0 2
3 2 4
3 3 1
2 1 3
3 0 0
4 3 2
10 3
2 1 1
1 1 0
0 0 2
1 1 2
2 1 0
1 0 0
1 2 0
0 1 0
2 0 0
2 2 2
10 7
2 1 0
1 2 1
3 2 0
0 0 1
0 3 3
0 1 2
3 1 0
0 3 1
3 3 3
3 2 1
10 7
3 1 3
3 2 1
3 2 0
1 0 3
0 0 2
1 0 1
1 2 3
2 1 0
2 0 2
3 3 3
10 5
0 1 1
2 2 0
1 1 1
1 0 1
1 1 0
2 2 1
2 0 0
1 2 1
2 2 2
0 2 2
10 7
0 0 2
1 0 0
0 1 0
2 0 0
0 0 0
0 2 2
2 1 0
1 0 1
1 2 1
2 0 1
10 2
2 0 2
0 2 0
2 2 2
0 2 1
0 0 2
0 2 2
2 1 2
0 0 0
0 0 1
2 0 0
10 5
1 4 0
2 0 3
4 4 3
1 5 4
3 5 1
1 5 0
0 3 2
2 5 1
4 2 3
1 2 0
10 4
0 2 2
2 0 0
0 1 1
2 0 2
0 2 1
2 1 2
1 0 0
2 1 1
0 0 0
1 0 2
10 9
3 0 0
1 2 2
0 1 2
0 2 3
2 3 1
2 2 2
3 1 3
3 2 0
1 2 3
3 1 2
10 7
2 0 1
1 1 0
1 1 2
0 0 0
1 1 1
0 2 2
0 0 2
0 1 0
1 2 2
1 2 0
10 7
2 0 2
0 1 1
1 2 1
1 1 1
0 0 2
1 1 2
0 2 1
1 0 2
1 2 2
1 0 0
10 3
0 2 3
1 3 2
4 3 3
2 4 2
4 1 3
2 1 4
1 2 1
1 1 4
2 1 3
1 3 3
10 3
1 1 2
2 1 0
2 1 1
0 0 0
0 1 2
0 1 1
0 2 0
1 2 0
0 0 1
0 2 2
10 6
1 1 0
0 2 0
2 2 1
2 0 1
1 2 0
1 0 2
2 0 0
2 2 0
0 2 1
2 1 1
10 6
1 0 5
2 4 4
4 5 1
5 3 5
1 2 2
1 5 2
3 5 0
4 5 3
3 5 4
5 2 2
10 9
2 1 0
0 2 2
2 2 1
2 0 2
0 1 1
1 2 0
0 0 1
1 0 1
0 2 0
2 0 1
10 7
2 3 2
2 3 4
0 4 1
4 2 1
4 4 3
1 4 3
2 1 3
4 0 2
2 0 0
1 2 2
10 2
4 1 5
4 0 5
5 3 3
5 3 1
0 0 2
4 2 3
4 1 3
1 2 5
0 2 1
4 1 4
10 7
3 0 3
3 0 5
3 0 0
2 2 2
5 3 1
5 5 3
1 0 3
1 5 1
5 3 0
4 5 4
10 8
0 1 3
0 0 3
2 2 2
1 0 3
1 2 2
1 0 2
1 1 2
2 1 0
3 1 0
3 1 1
10 5
5 3 2
3 0 1
5 5 5
4 3 1
4 2 3
1 4 0
0 4 5
2 0 2
0 5 2
2 1 2
10 6
3 1 0
4 5 3
4 0 2
5 5 1
5 5 3
2 3 1
4 5 2
0 0 5
0 0 4
0 5 4
10 9
3 0 1
0 1 3
3 2 4
1 1 1
0 4 3
4 0 4
2 2 0
0 3 0
4 3 2
2 0 2
10 8
4 4 1
2 0 5
5 5 3
0 4 2
4 2 0
5 2 2
2 1 5
5 2 4
3 0 1
0 0 1
10 8
0 1 1
3 2 0
1 2 1
1 1 0
1 3 2
3 1 2
0 0 1
0 0 3
3 1 1
1 0 1
10 3
2 0 1
0 1 0
1 1 1
2 2 2
1 2 2
1 1 2
1 2 1
2 0 2
0 0 2
2 1 2
10 5
2 0 3
2 1 2
0 2 0
1 0 1
1 2 0
1 0 2
0 1 1
1 1 0
0 2 2
1 1 2
10 7
4 3 0
0 1 0
2 4 4
0 0 2
0 4 1
3 1 3
4 1 3
4 4 2
0 4 3
1 2 0
10 4
2 1 2
3 2 2
2 3 2
3 0 1
1 1 0
2 3 1
0 2 3
3 0 3
1 1 1
1 2 3
10 5
2 0 2
2 2 0
0 1 2
1 3 0
0 1 3
2 1 2
3 4 0
0 3 0
4 3 3
1 1 1
10 6
2 3 2
1 2 3
1 1 3
1 2 2
1 3 0
3 1 3
3 1 1
1 1 1
2 0 1
1 3 2
10 7
2 2 0
1 0 3
3 0 0
0 3 2
1 2 2
3 2 3
4 0 2
1 1 1
3 0 1
3 1 2
10 3
0 4 5
1 1 4
3 1 4
0 2 1
0 3 5
4 3 3
3 4 5
2 0 3
5 5 5
4 2 4
10 9
2 2 1
3 1 3
2 3 0
1 0 0
1 1 0
0 3 1
0 0 2
2 2 0
3 3 3
0 1 3
10 9
0 0 1
2 0 0
0 2 0
1 0 2
1 1 2
1 2 0
0 2 1
2 1 1
2 1 0
0 0 2
10 9
1 1 0
0 0 0
1 2 0
1 2 2
2 1 0
0 1 2
1 2 1
0 0 1
0 1 0
2 2 0
10 4
4 4 4
4 3 1
2 4 4
1 4 1
2 4 2
1 3 4
4 2 2
0 2 3
1 2 1
2 4 0
10 6
0 4 1
4 1 2
3 3 0
1 4 0
1 3 2
0 2 0
4 3 4
2 4 2
3 3 4
4 2 1
10 9
2 0 0
0 1 0
1 0 0
1 0 1
2 1 1
0 2 1
1 2 2
0 0 0
1 0 2
1 2 1
10 9
1 1 1
1 2 2
2 1 0
2 0 0
0 3 0
2 0 3
3 3 2
1 1 2
1 0 1
0 3 3
10 4
3 3 0
0 0 3
0 1 2
2 3 0
1 1 3
1 1 0
1 2 0
2 0 3
3 1 1
0 3 2
10 9
2 0 2
1 3 2
2 3 2
1 2 2
2 2 2
3 0 1
0 0 0
3 1 1
0 3 0
1 3 1
10 9
1 1 1
2 2 2
2 1 2
1 1 0
2 0 2
2 2 0
0 0 2
1 0 1
2 0 1
0 0 0
10 6
0 3 3
2 0 2
2 1 2
3 2 1
3 2 4
3 1 1
2 0 1
2 1 1
3 3 2
0 0 0
10 2
3 2 0
2 3 2
0 3 3
1 0 4
1 1 3
2 2 1
0 2 0
4 3 2
2 2 2
0 4 2
10 9
1 4 2
3 5 0
3 0 3
2 0 5
2 4 2
1 5 4
2 4 0
0 4 0
5 3 4
0 0 2
10 5
3 1 4
3 2 1
0 5 2
3 0 3
1 4 4
5 4 2
1 0 0
1 5 1
4 3 1
0 2 5
10 4
0 0 1
2 1 2
2 0 2
2 1 1
2 3 3
2 0 3
3 2 2
0 2 1
1 3 0
3 3 0
10 9
1 2 4
3 4 0
2 1 4
2 0 1
3 1 1
4 3 2
2 2 3
1 2 0
1 0 1
2 2 2
10 4
0 2 2
2 0 2
3 2 1
0 3 3
2 2 2
0 1 3
1 3 2
0 2 0
1 2 1
2 0 0
10 2
2 1 2
1 1 0
1 0 0
0 0 2
1 2 2
2 0 1
0 2 1
2 0 2
1 2 0
0 0 1
10 6
4 3 2
0 0 0
1 0 2
2 3 1
3 2 1
2 3 0
2 4 0
3 2 0
1 3 2
0 3 1
10 7
2 1 1
1 2 2
3 3 3
0 3 1
0 0 0
3 2 2
3 3 1
3 2 0
0 0 3
2 3 1
10 5
2 0 2
1 1 2
0 2 0
1 2 0
1 2 2
0 0 2
1 0 0
2 2 0
0 2 2
0 1 1
10 2
2 0 1
0 1 2
0 0 2
2 0 0
2 1 2
2 2 1
2 2 0
1 2 0
1 2 1
1 1 0
10 4
1 3 1
1 4 0
1 1 2
0 3 4
0 0 3
0 3 2
2 0 1
3 2 3
2 0 3
1 2 0
10 8
3 0 4
1 3 0
3 5 2
5 3 1
4 1 5
4 4 1
5 0 5
0 0 2
4 1 2
3 0 5
10 2
1 3 2
2 3 0
3 0 4
1 2 3
1 4 3
4 4 3
3 3 4
2 3 4
1 2 1
2 1 1
10 5
1 1 1
1 0 1
2 2 1
1 1 2
0 0 0
2 0 0
0 2 2
0 0 1
2 1 2
2 1 0
10 5
0 1 2
2 2 2
1 1 2
0 0 2
1 2 2
0 2 0
2 0 2
1 0 0
1 2 1
2 2 1
10 5
1 2 1
0 2 2
2 1 1
2 0 0
0 0 0
1 0 1
2 2 2
1 1 1
0 1 2
2 0 1
10 3
4 1 0
2 3 2
2 0 0
0 1 4
1 1 0
0 1 0
4 4 4
2 2 2
0 4 4
1 4 3
10 7
1 1 0
2 2 1
2 0 2
0 1 1
3 0 2
4 4 3
0 4 2
3 3 2
1 4 1
1 0 1
10 7
0 0 0
1 0 3
3 2 3
2 3 0
3 0 2
2 0 0
1 2 1
2 3 3
2 1 2
3 2 0
10 3
0 0 1
2 1 0
2 0 1
1 1 1
1 2 2
1 0 2
0 0 2
0 2 1
1 1 2
0 2 2
10 2
1 3 4
3 3 4
5 3 4
2 3 2
5 4 3
5 0 2
1 2 1
1 5 5
0 2 1
3 2 1
10 9
1 4 3
0 3 2
0 3 4
0 2 0
0 0 2
0 2 4
4 3 2
1 0 2
3 4 0
4 0 4
10 3
0 1 1
3 1 0
0 2 0
3 0 0
1 2 3
2 3 3
1 3 3
0 1 2
2 0 3
3 1 1
10 9
3 0 0
4 1 4
0 2 0
1 2 1
1 3 4
0 0 3
3 1 3
4 3 4
4 3 2
2 4 4
10 5
2 0 2
2 1 3
3 0 0
0 2 1
1 3 1
1 0 1
0 0 0
1 1 3
2 3 1
2 3 0
10 5
2 0 1
0 2 2
2 3 3
0 0 3
3 1 0
2 2 0
2 2 2
2 1 3
3 3 1
1 0 1
10 8
2 2 2
0 1 2
1 1 0
2 0 0
0 0 0
1 2 1
1 0 0
2 2 0
2 0 2
0 2 2
10 9
2 0 2
1 2 3
2 2 3
2 2 1
0 4 1
0 3 4
1 0 4
3 0 3
4 4 2
0 0 1
10 3
2 0 1
1 2 1
3 0 3
3 2 2
1 3 0
1 2 3
1 3 2
3 0 0
1 1 1
1 1 3
10 5
1 2 1
0 1 1
1 3 0
0 0 2
3 1 2
2 2 0
0 1 3
1 0 0
3 3 2
1 1 1
10 5
1 1 0
0 3 1
2 0 2
3 0 2
3 0 0
1 3 2
0 0 3
1 0 3
1 1 2
2 1 0
10 4
1 3 2
1 2 4
4 0 3
4 4 3
1 0 0
0 0 0
2 0 3
2 1 2
2 2 4
0 4 3
10 4
4 0 4
2 2 3
0 1 4
1 4 3
0 0 3
3 4 0
1 4 4
0 2 2
2 3 2
3 3 2
10 9
3 4 0
0 3 5
2 0 3
2 5 4
4 1 5
0 1 2
4 0 3
3 4 2
5 0 2
4 2 5
10 8
1 2 2
2 0 2
1 0 1
0 2 1
2 0 1
0 2 0
2 2 2
2 0 0
0 1 1
2 2 1
10 3
1 1 1
2 1 0
0 0 0
1 1 2
0 1 1
2 0 0
0 2 0
1 0 2
0 1 0
1 0 0
10 6
2 1 4
1 2 0
4 3 0
4 2 1
0 1 0
4 1 2
4 3 3
3 0 3
0 2 0
3 3 4
10 9
4 4 2
3 3 4
3 0 2
1 2 2
4 0 3
2 4 3
3 4 4
3 3 1
4 4 1
1 4 4
10 5
4 4 0
3 4 0
3 3 2
2 0 4
1 0 1
4 2 2
2 0 0
2 1 4
0 3 2
3 1 2
10 9
3 3 1
0 0 3
4 1 4
3 2 2
1 4 2
3 4 2
1 1 1
4 1 3
4 2 3
4 2 0
10 6
1 1 2
0 2 1
0 2 2
2 2 1
0 0 2
1 2 0
2 1 2
2 0 2
2 1 1
2 0 0
10 6
1 0 0
2 0 2
2 0 0
0 2 2
0 2 0
0 0 1
1 1 1
0 0 0
1 0 1
2 2 2
10 5
3 4 3
2 0 4
3 3 3
3 1 2
0 4 3
4 0 2
0 0 4
4 0 0
4 1 0
2 4 1
10 6
0 0 2
2 0 1
1 0 0
0 1 1
1 2 0
1 1 2
0 1 2
1 1 1
1 0 1
2 2 2
10 6
0 4 4
3 1 0
2 3 1
4 4 0
4 0 1
3 2 0
1 0 2
4 1 1
2 1 4
0 2 4
10 5
2 2 1
5 4 4
0 0 3
5 4 1
0 4 3
5 2 1
1 5 2
1 0 4
5 2 5
1 2 1
10 5
3 1 3
2 1 0
1 3 3
2 2 2
3 3 3
2 0 3
2 0 0
2 0 2
3 0 2
2 2 3
10 5
4 4 2
0 4 2
4 1 4
3 3 3
0 2 4
1 2 3
2 2 0
0 0 0
3 1 0
3 0 4
10 4
3 2 0
0 0 4
1 4 2
2 5 3
1 5 2
0 2 4
2 3 2
2 4 5
1 0 3
4 2 2
10 6
4 0 0
2 1 1
4 1 1
4 4 1
3 4 1
2 3 1
0 1 3
0 3 2
3 0 2
1 3 4
10 9
1 0 1
2 1 0
2 1 1
1 2 0
1 2 1
1 1 2
0 0 1
1 2 2
0 1 1
0 0 2
10 8
3 3 2
2 1 4
2 1 3
3 4 3
2 0 0
2 0 3
3 0 2
4 1 4
4 0 1
2 4 4
10 3
0 0 0
2 0 1
1 1 1
0 0 1
2 0 2
1 0 1
2 0 0
1 2 2
1 1 0
2 2 1
10 2
3 1 2
2 0 4
4 3 1
4 4 0
4 1 0
2 2 1
1 0 3
0 2 3
1 1 1
0 1 2
10 6
0 3 3
1 0 1
2 1 3
2 0 0
1 2 1
1 2 2
1 1 0
0 1 2
2 1 1
1 0 0
10 6
3 0 1
2 0 5
0 3 5
1 5 5
1 1 3
3 5 2
4 1 1
4 0 3
0 2 3
1 1 1
10 3
1 2 1
1 1 2
1 1 1
2 1 2
2 1 0
0 0 0
1 0 1
2 0 0
0 0 2
0 2 0
10 7
1 0 1
0 1 4
3 3 4
2 1 3
1 1 0
0 0 1
3 4 3
3 3 3
0 4 3
0 0 2
10 7
2 0 0
2 3 1
4 3 1
1 4 4
4 0 0
3 2 1
4 4 0
1 2 0
2 1 3
4 3 2
10 3
0 2 3
0 1 2
2 1 1
1 1 0
1 3 0
1 1 3
2 2 2
3 3 1
1 3 3
2 0 1
10 3
1 2 0
1 1 0
0 2 0
1 0 2
1 1 2
0 2 2
2 2 0
1 1 1
0 0 1
0 1 0
10 8
2 1 0
5 0 1
5 5 5
5 4 3
0 0 1
0 3 0
5 2 0
1 4 5
4 0 1
0 5 1
10 8
1 2 0
1 2 2
2 0 2
1 0 1
0 2 0
1 1 2
2 1 2
0 2 2
2 0 0
0 0 1
10 8
0 2 2
1 1 0
0 1 1
0 2 0
1 0 2
2 1 2
0 0 1
1 1 1
2 0 0
1 0 0
10 4
1 1 0
0 1 1
1 1 2
0 2 0
0 0 0
1 1 1
2 0 1
1 0 0
0 1 2
0 2 2
10 3
2 4 5
2 1 5
0 5 4
0 3 4
4 0 4
2 0 2
4 2 1
3 5 1
5 2 5
5 1 3
10 2
0 2 2
2 1 1
1 1 0
2 1 0
0 1 1
2 1 2
1 0 0
2 2 2
1 1 2
1 0 1
10 3
0 5 4
2 1 5
2 0 2
5 5 1
5 2 1
0 0 0
1 1 5
5 3 4
1 0 0
1 3 1
10 5
4 3 1
3 4 1
4 0 3
1 0 2
0 0 3
4 3 4
1 2 3
0 2 0
4 4 2
0 3 1
10 5
1 5 2
0 2 1
0 2 5
3 1 0
3 3 5
3 2 5
3 0 5
3 3 0
3 1 4
4 2 0
10 2
0 3 1
3 1 2
0 3 2
1 3 4
3 1 3
1 2 1
4 1 0
1 1 1
1 4 1
1 4 4
10 6
4 0 2
1 4 1
4 3 4
1 2 0
1 4 0
0 3 4
2 1 3
0 1 4
0 0 0
0 2 2
10 4
2 0 2
0 2 0
2 2 2
1 0 0
2 2 0
1 2 1
2 1 0
0 0 0
1 2 0
2 2 1
10 5
3 3 0
5 3 1
1 4 2
3 5 4
0 1 3
0 4 3
4 2 2
4 2 3
2 0 2
2 4 1
10 5
2 2 2
2 0 1
1 2 0
0 1 2
2 0 0
0 1 0
0 0 0
1 0 0
2 1 1
1 0 2
10 8
3 3 2
1 1 1
3 0 1
3 0 2
1 1 0
2 0 1
3 3 1
0 2 0
1 3 3
1 3 0
10 3
2 3 3
0 1 0
3 1 2
3 0 0
3 2 3
1 3 2
1 2 0
2 3 2
1 1 2
0 0 2
10 6
3 1 2
4 3 4
1 3 0
3 3 3
0 3 0
0 2 2
0 1 0
3 4 2
1 3 3
4 0 2
10 9
2 2 1
0 1 2
1 1 0
0 2 0
2 2 0
1 0 2
2 1 0
1 2 0
1 1 2
2 2 2
10 6
2 0 0
1 0 2
1 0 1
2 2 2
1 0 0
2 0 2
1 2 0
0 1 0
1 2 1
2 1 2
10 9
1 2 2
2 2 1
0 2 0
0 0 2
1 1 2
2 0 1
2 1 0
0 1 2
1 2 1
0 0 0
10 3
4 3 2
3 1 3
3 1 2
1 5 1
3 0 4
0 3 2
0 0 5
1 5 3
0 4 5
5 2 3
10 7
1 0 2
2 1 2
2 0 0
0 0 0
1 2 0
1 0 0
1 1 0
0 1 0
0 2 0
0 1 1
10 4
3 4 3
1 4 2
4 1 0
4 0 2
3 0 2
1 0 1
1 4 0
3 1 1
3 3 1
1 2 0
10 9
0 0 2
2 2 1
1 0 1
1 0 0
2 1 2
2 0 1
0 0 1
1 1 1
2 2 0
1 2 2
10 4
4 3 3
1 3 4
2 2 4
2 1 0
2 3 4
0 2 0
2 1 1
0 3 2
3 4 4
2 3 3
10 8
4 0 3
1 2 1
3 5 4
2 1 0
4 1 5
3 5 1
3 4 1
4 2 2
5 3 3
2 2 4
10 9
2 2 1
2 1 1
1 1 1
0 0 1
1 0 2
1 1 0
2 1 2
0 2 2
0 2 0
0 1 1
10 8
0 3 1
3 0 2
0 1 1
0 3 0
2 2 2
0 2 2
2 1 3
0 0 1
1 3 2
1 0 0
10 5
1 1 2
3 0 2
2 2 1
1 2 2
2 1 1
1 3 2
3 0 0
2 0 3
0 1 1
1 1 3
10 2
3 4 2
2 2 4
4 2 2
3 1 4
3 4 0
1 0 3
3 2 2
1 0 1
4 4 3
3 3 0
10 3
2 2 1
3 2 2
0 0 3
1 2 3
1 3 3
2 1 2
0 2 1
1 0 3
0 0 0
4 4 0
10 5
2 2 2
0 2 1
1 1 0
1 1 1
1 0 2
2 0 1
2 1 0
2 0 2
2 2 0
1 0 0
10 6
2 1 2
1 2 2
1 0 2
0 1 2
0 0 1
1 2 0
0 2 1
2 0 2
1 1 0
1 1 2
10 3
4 2 1
3 0 4
4 1 4
1 0 1
2 1 2
1 0 2
3 1 0
1 3 0
1 1 1
1 0 3
10 4
2 1 2
3 3 3
1 2 3
0 3 1
2 3 1
1 1 1
1 0 0
0 3 3
0 2 2
0 3 2
10 7
2 0 3
1 0 1
0 4 2
3 4 4
0 1 2
0 3 2
0 0 2
2 1 0
3 4 2
1 2 4
10 3
2 1 3
0 0 0
3 1 1
0 3 2
3 1 3
1 4 0
0 4 4
4 4 4
1 2 1
0 0 1
10 9
3 4 4
0 3 4
5 4 3
2 0 1
3 1 3
2 2 1
0 0 1
5 4 5
0 4 0
5 3 1
10 9
2 1 2
0 1 0
0 2 1
0 0 0
0 2 0
1 0 1
0 0 1
0 2 2
2 0 1
1 2 1
10 2
0 2 3
0 0 3
3 0 4
3 1 1
4 2 1
0 1 0
2 0 4
1 2 1
4 4 0
2 4 3
10 3
0 4 3
4 2 1
4 2 3
3 4 1
3 3 1
0 2 0
2 1 1
1 2 0
3 1 2
4 0 1
10 5
0 3 4
1 2 3
4 1 2
3 3 3
4 1 0
2 2 0
4 1 4
1 1 3
1 1 4
2 4 0
10 3
0 2 1
2 4 2
0 4 0
4 5 5
2 1 2
5 4 5
5 4 4
5 4 3
2 2 5
0 2 2
10 8
0 1 1
5 1 0
3 1 5
0 0 3
3 5 4
5 4 5
4 5 3
0 3 2
2 2 2
1 4 1
10 4
3 3 3
0 1 1
2 3 3
2 2 0
1 0 2
2 1 1
2 1 0
2 3 1
1 3 1
2 2 3
10 8
0 1 2
2 1 0
1 1 3
1 0 1
1 0 3
3 3 1
1 3 2
3 2 2
2 0 3
1 3 3
10 4
1 1 2
1 0 0
2 1 2
1 2 0
2 1 0
1 1 1
0 1 1
2 0 2
1 2 2
0 0 2
10 7
1 0 1
1 0 2
2 2 1
0 1 2
2 1 0
1 0 0
2 2 2
2 0 2
2 0 1
0 1 1
10 9
2 3 3
0 3 0
1 0 0
0 1 2
1 1 1
3 0 3
0 2 3
3 1 0
1 2 2
0 0 2
10 3
1 0 1
3 3 0
3 1 1
1 3 1
0 0 3
0 3 3
1 2 1
1 2 3
2 1 2
2 3 0
10 8
0 3 0
2 2 0
3 3 2
0 2 0
3 1 2
3 2 0
1 3 1
1 2 1
1 2 2
1 2 3
10 9
2 0 4
4 3 0
0 2 4
3 1 1
4 3 3
3 1 3
2 4 3
4 2 0
2 1 4
4 4 4
10 5
0 3 3
2 0 0
3 2 0
2 0 3
0 1 1
1 1 0
1 0 1
3 2 2
2 2 3
0 1 2
10 6
2 2 0
5 3 0
2 0 1
5 0 2
4 3 4
1 2 2
3 3 4
0 0 5
0 1 3
3 3 2
10 6
2 0 0
2 0 2
1 1 1
0 1 1
0 1 2
2 2 2
0 2 0
2 2 0
0 0 0
2 2 1
10 6
4 1 1
4 1 3
2 1 4
3 3 0
1 0 2
0 4 1
5 1 1
0 1 0
3 2 4
0 2 5
10 6
1 4 0
4 0 4
3 3 1
0 4 3
4 0 0
2 3 1
3 2 2
3 2 3
0 1 0
3 4 1
10 5
0 0 0
3 3 3
1 2 1
1 2 2
2 0 1
0 0 1
0 2 0
3 1 2
3 2 0
3 0 1
10 6
1 3 0
4 0 3
1 2 4
3 1 4
3 2 0
0 3 4
0 0 3
1 4 3
3 4 2
4 0 2
10 8
1 0 2
0 1 1
1 2 0
0 1 0
0 2 0
2 1 2
1 0 1
2 2 1
2 2 2
1 1 1
10 2
3 2 2
2 1 2
2 3 1
1 0 1
1 0 3
3 3 0
0 3 1
3 2 1
2 0 1
2 1 0
10 2
2 3 2
2 0 1
1 2 2
0 1 2
0 3 1
0 1 1
2 1 2
3 1 2
0 2 3
3 3 3
10 9
0 1 2
2 0 3
2 3 3
2 2 3
3 0 0
3 3 0
2 0 2
2 1 0
0 0 2
0 2 0
10 6
2 0 4
0 5 0
0 2 0
3 1 4
0 1 5
0 5 3
5 1 1
0 3 5
1 4 4
2 3 5
10 3
1 0 1
1 1 0
1 0 3
1 3 3
1 1 3
1 3 0
2 2 1
2 2 3
3 2 2
2 1 0
10 5
2 0 1
0 1 2
1 1 2
0 2 0
1 0 1
2 2 0
2 2 1
2 0 0
1 0 2
1 2 0
10 7
0 1 1
2 0 1
2 1 2
2 0 0
0 1 2
2 1 1
0 0 1
1 0 1
2 0 2
2 2 0
10 9
4 4 0
2 4 1
3 0 0
2 3 0
2 1 0
3 3 1
4 3 3
3 2 2
4 2 4
2 3 3
10 7
1 3 4
2 3 4
4 3 1
0 0 2
2 1 4
0 4 0
1 1 3
2 4 4
0 1 3
3 2 4
10 8
0 4 3
1 2 2
0 4 2
3 0 3
0 1 1
2 3 2
3 4 3
1 4 1
3 2 1
0 3 2
10 3
1 2 2
0 1 1
1 1 2
1 0 2
1 0 1
2 1 0
0 0 0
0 0 1
2 2 0
1 0 0
10 6
2 4 3
1 1 1
2 0 1
3 3 5
3 1 1
0 2 3
2 4 0
5 0 0
0 0 4
2 4 1
10 5
3 2 5
4 1 3
3 2 1
0 5 4
5 1 1
2 5 4
2 1 4
0 3 3
1 2 0
4 1 0
10 7
1 3 0
2 2 0
1 1 3
0 1 0
2 0 2
1 0 1
1 2 0
3 0 0
1 3 1
0 1 1
10 3
2 1 2
0 3 3
3 1 2
2 1 3
1 2 1
3 1 0
2 0 2
2 2 2
0 0 0
2 0 1
10 9
3 1 3
4 1 4
1 1 1
0 1 1
3 2 0
0 4 4
0 4 3
2 3 3
4 3 0
1 2 0
10 7
1 4 1
4 0 0
0 2 0
3 0 3
1 1 0
4 3 4
3 3 1
0 4 4
0 2 3
1 0 2
10 8
2 2 2
2 2 1
1 1 2
2 2 0
2 1 2
2 1 1
0 0 2
1 0 0
1 1 0
1 2 2
10 2
4 4 1
1 2 4
2 2 0
4 4 3
3 4 3
4 1 0
4 2 0
1 4 1
0 2 4
2 2 2
10 3
1 0 0
0 3 2
3 1 1
3 0 3
3 1 3
3 2 2
1 2 3
3 0 2
2 1 1
3 1 0
10 4
1 1 0
1 0 1
2 2 2
0 2 2
2 0 1
0 2 1
0 0 2
1 2 1
0 1 2
2 1 2
10 3
2 1 2
0 2 3
3 0 3
2 0 3
4 2 1
3 0 4
3 0 1
3 3 1
2 1 4
0 0 3
10 8
0 0 1
2 4 4
0 4 0
2 2 4
4 2 3
1 0 4
0 2 1
3 2 3
3 2 4
2 3 3
10 6
1 4 1
4 0 2
4 0 3
1 1 2
4 0 4
0 4 0
4 1 2
4 4 1
1 2 1
0 2 4
10 6
3 1 1
0 3 3
1 0 3
3 3 2
1 0 2
0 0 2
3 1 3
1 0 0
0 2 3
1 1 2
10 9
2 2 4
4 4 2
1 4 0
0 3 0
4 3 3
3 2 2
4 4 4
4 1 2
4 4 1
0 1 0
10 6
0 1 1
0 2 0
0 2 1
1 1 1
1 2 1
0 0 0
1 0 0
1 2 0
0 1 2
2 0 1
10 4
2 0 0
1 0 0
3 0 0
1 1 1
1 0 2
3 3 3
2 3 0
3 0 3
0 2 1
0 3 1
10 2
0 0 3
2 1 0
0 3 0
0 2 3
3 3 0
1 3 3
3 0 3
1 0 0
2 1 3
2 0 0
10 3
1 3 2
2 0 0
1 1 2
0 0 3
0 2 3
1 0 2
0 2 2
2 2 2
3 1 2
2 0 3
10 5
3 0 3
1 0 1
2 0 3
1 3 2
3 0 2
3 1 2
3 0 0
2 2 1
1 1 2
1 0 3
10 4
0 0 0
0 1 1
1 0 1
0 1 0
1 1 2
0 0 2
2 1 2
2 1 0
1 2 0
1 2 2
10 7
0 1 0
3 2 2
2 0 0
3 1 2
2 3 3
3 0 3
3 2 3
1 1 1
1 2 2
1 3 3
10 8
4 0 1
0 0 5
1 4 3
5 0 1
3 2 0
3 0 2
2 1 2
2 1 3
5 1 3
1 3 3
10 2
1 2 0
1 2 1
0 1 2
2 2 2
2 1 1
1 0 1
2 0 2
2 2 1
2 1 0
1 1 0
10 5
0 1 1
2 2 0
0 1 0
2 2 1
2 1 0
1 2 2
0 0 1
2 1 2
1 1 0
1 1 1
10 5
1 0 0
1 1 2
2 0 2
2 0 0
1 1 1
2 1 2
1 0 2
0 1 1
0 2 2
2 1 1
10 8
3 4 3
0 0 3
2 2 1
4 0 1
1 4 4
0 0 1
4 3 3
4 3 0
0 1 4
1 3 2
10 2
2 3 2
1 0 3
1 3 2
1 0 0
4 1 3
2 3 4
4 1 0
1 4 0
3 1 3
3 3 0
10 9
1 1 1
0 1 2
2 1 0
1 0 1
2 2 0
1 0 2
0 2 0
1 0 0
0 1 1
2 0 0
10 6
2 0 4
0 0 1
4 4 1
2 4 0
2 2 1
4 0 5
5 3 2
1 0 5
1 5 2
2 1 4
10 3
2 5 4
0 4 5
4 2 3
1 0 4
1 2 4
2 5 1
0 3 3
1 2 1
4 3 1
0 1 0
10 3
1 4 0
2 4 4
3 3 4
2 1 0
3 2 0
2 2 0
3 4 3
1 4 3
1 2 4
1 0 4
10 4
3 2 4
0 2 0
0 4 1
1 2 0
0 4 0
1 4 4
4 0 3
0 2 2
1 2 2
1 4 2
10 6
1 1 0
1 2 2
2 0 1
2 1 2
0 2 1
2 2 0
2 1 1
0 1 1
1 0 2
2 1 0
10 9
4 4 2
2 4 1
4 3 2
4 4 4
1 3 3
2 0 3
2 3 2
1 2 2
4 1 4
0 0 3
10 4
2 1 2
0 2 2
1 1 1
1 2 0
0 0 1
2 2 1
0 0 2
2 2 0
2 1 0
1 0 1
10 5
2 0 2
2 1 3
0 1 2
2 3 1
3 1 2
0 2 1
1 2 1
1 2 0
3 3 2
2 1 1
10 9
0 1 0
0 3 3
3 2 3
0 2 0
3 0 3
3 1 2
0 3 0
1 3 1
3 0 0
2 1 3
10 6
2 4 0
3 4 1
3 0 0
1 0 4
0 1 0
4 3 1
1 2 0
3 1 0
1 1 0
0 2 2
10 8
0 5 3
1 4 0
4 0 0
5 0 1
1 1 4
1 5 1
2 2 1
0 3 3
1 5 3
5 3 0
10 7
2 0 1
2 1 2
2 2 2
2 0 0
1 2 0
1 2 1
2 1 1
1 0 0
2 1 0
2 2 1
10 9
2 1 2
2 2 2
2 0 1
0 0 0
2 1 0
0 1 0
0 1 2
2 0 2
1 0 0
1 0 1
10 2
0 1 0
0 0 2
1 1 0
1 2 1
2 2 2
0 2 1
2 2 1
0 2 0
1 2 0
2 0 0
10 3
0 0 2
3 1 1
4 3 2
0 1 1
3 4 0
3 2 1
1 0 3
2 1 3
1 1 1
4 4 2
10 7
0 3 0
0 1 2
2 3 2
3 0 1
2 2 1
0 0 3
3 2 0
0 1 1
1 1 0
0 1 0
10 2
0 3 0
2 0 3
3 3 2
1 3 2
1 3 3
2 2 0
3 0 2
1 1 1
2 2 2
1 1 0
10 9
1 0 2
2 2 2
1 1 2
0 0 2
2 1 1
2 0 0
0 2 1
1 2 1
1 1 0
1 0 1
10 7
3 4 0
3 4 2
3 1 4
0 1 4
4 1 1
4 4 2
3 1 2
0 0 4
4 1 3
0 2 0
10 3
1 1 1
0 1 2
2 2 2
2 1 2
2 2 1
0 2 1
2 1 0
1 0 0
1 2 1
0 1 0
10 9
0 2 4
2 2 0
3 1 3
2 3 2
0 4 4
1 0 2
4 3 0
2 2 2
0 1 2
3 0 2
10 2
4 4 3
0 2 4
1 4 2
0 2 2
1 1 0
1 3 2
3 0 3
4 3 2
3 1 4
0 3 0
10 4
5 1 2
1 0 0
1 1 4
1 4 5
0 3 3
0 0 0
2 2 3
2 1 4
1 3 2
5 4 3
10 8
2 1 3
1 3 3
1 0 0
1 1 3
0 3 2
1 0 3
0 2 1
3 2 0
1 1 0
3 0 0
10 6
1 1 3
2 1 2
2 2 2
3 1 0
0 1 3
1 3 1
1 0 1
3 1 1
3 3 1
2 0 0
10 4
1 2 2
2 0 2
0 2 2
2 1 0
0 1 1
1 2 0
1 0 0
0 2 1
0 1 0
1 1 2
10 6
1 3 3
2 1 2
3 3 3
0 0 1
3 0 0
1 1 3
1 0 0
3 3 0
3 0 1
3 3 1
10 6
0 1 0
3 1 0
1 2 2
1 1 4
2 4 2
4 3 2
4 3 3
4 3 0
4 2 2
2 1 3
10 7
0 1 1
1 2 2
2 2 2
2 0 0
0 0 1
0 0 0
0 2 2
2 2 0
1 1 1
2 0 1
10 5
3 0 3
4 0 2
1 3 3
2 4 2
2 2 2
1 2 2
4 0 3
0 2 3
3 4 0
3 2 4
10 6
0 2 0
1 0 0
3 1 2
3 3 0
3 2 2
2 0 2
0 3 1
0 1 1
2 0 1
2 3 3
10 9
3 0 2
1 1 2
4 0 2
1 1 3
4 1 2
1 3 3
2 1 3
2 1 4
4 2 1
3 1 1
10 4
2 2 0
2 4 2
1 4 0
4 1 4
1 4 4
4 3 3
2 4 1
3 3 1
3 0 2
3 4 3
10 2
0 1 1
1 1 0
0 2 1
2 0 2
0 0 1
0 0 2
2 2 2
0 1 2
2 2 1
1 2 1
10 5
1 2 2
0 2 1
2 0 0
0 2 0
0 1 0
2 0 1
1 0 2
1 1 1
0 0 1
0 0 0
10 6
2 0 1
3 1 1
3 2 3
2 1 1
1 2 1
2 0 2
2 1 2
0 2 1
1 3 1
2 1 3
10 5
1 0 0
1 1 1
2 0 1
2 0 0
0 1 2
0 1 1
0 2 0
0 0 1
2 2 2
0 1 0
10 2
0 0 2
0 2 2
1 0 2
2 2 1
2 0 2
0 1 1
0 0 0
1 1 0
2 0 1
2 2 0
10 6
0 0 2
2 0 3
3 0 2
0 3 1
1 3 2
3 2 0
2 0 2
1 2 1
2 1 2
3 3 0
10 3
4 1 0
0 4 4
1 4 3
2 4 1
2 3 4
4 4 4
0 2 0
3 3 4
3 4 0
3 3 3
10 8
2 1 3
0 2 1
4 0 2
1 4 0
3 3 3
1 0 3
0 4 1
2 3 0
0 1 4
3 2 0
10 9
2 2 2
0 0 3
2 0 3
3 3 3
3 0 3
2 1 3
1 3 1
1 0 2
1 0 1
1 3 0
10 9
3 1 1
3 1 3
1 2 0
1 2 2
2 0 0
3 2 1
0 0 2
3 2 2
1 0 2
3 1 0
10 8
5 3 5
3 0 3
1 4 2
4 0 1
3 1 1
3 5 5
0 0 5
1 0 1
3 5 0
1 5 2
10 2
5 0 4
1 2 2
4 3 5
0 1 3
1 5 0
2 4 0
1 0 1
0 2 0
3 4 0
1 3 3
10 9
1 3 4
4 4 4
2 2 0
1 3 1
0 2 2
1 0 4
4 2 4
4 3 1
3 2 3
4 2 2
10 9
2 0 2
0 2 0
2 1 1
0 2 1
2 0 1
0 2 2
1 1 1
0 1 1
2 2 0
1 1 0
10 8
2 3 3
3 3 3
3 1 2
0 2 1
1 3 2
1 1 3
2 2 3
2 1 0
2 0 1
0 1 2
10 4
0 1 4
0 1 2
0 3 0
2 1 4
1 3 2
0 0 4
1 0 1
4 0 3
4 2 4
3 1 4
10 6
2 0 2
1 2 2
0 0 2
1 0 2
0 0 1
0 2 2
0 1 2
1 2 1
0 1 1
0 1 0
10 4
2 0 3
0 3 4
1 3 0
2 4 1
2 4 2
4 1 2
0 3 0
3 2 0
0 0 3
4 1 4
10 5
2 1 2
2 0 1
1 1 0
2 0 0
1 2 0
0 1 0
0 0 1
2 0 2
2 1 1
2 2 0
10 4
1 2 0
2 2 3
1 1 0
1 0 2
3 2 3
2 1 1
2 0 2
1 2 3
1 1 3
0 0 0
10 5
0 2 1
0 2 2
1 2 0
1 2 1
2 0 0
1 2 2
1 1 0
1 0 2
0 0 0
2 1 1
10 7
0 2 2
1 0 1
0 2 0
2 0 1
2 2 0
2 2 2
1 0 2
0 0 1
2 0 2
1 2 2
10 5
0 3 1
2 4 1
4 2 0
5 1 1
3 0 4
3 3 2
0 5 0
1 0 1
0 1 4
3 4 1
10 2
1 3 0
0 2 1
3 1 3
2 3 2
3 3 0
3 0 1
3 2 2
1 0 0
1 1 0
3 2 1
10 4
4 4 1
2 1 1
3 2 1
1 2 2
0 1 2
4 1 0
0 2 3
2 4 4
1 2 3
0 0 1
10 4
2 2 2
0 1 3
3 4 2
2 1 1
4 3 4
3 0 1
3 4 1
4 3 0
3 2 3
3 4 0
10 8
1 3 2
1 3 1
3 0 1
0 3 3
1 3 0
3 1 0
2 2 0
3 1 1
3 2 2
0 0 0
10 2
1 3 2
1 2 0
2 3 1
4 2 0
0 1 1
0 4 3
0 3 2
0 0 3
1 1 3
4 2 3
10 4
3 0 2
1 0 0
3 2 3
0 2 3
1 1 0
1 1 3
1 2 1
1 2 0
2 0 1
0 1 2
10 7
5 4 1
2 5 1
5 0 0
2 4 2
0 0 1
4 0 3
0 2 4
1 2 4
2 4 5
2 5 2
10 8
1 0 2
0 1 0
2 1 0
1 2 0
1 1 1
0 0 2
0 1 1
1 2 2
0 0 1
1 1 2
10 2
3 5 4
5 1 4
2 3 2
3 0 3
5 1 1
1 4 2
1 1 0
0 0 5
3 5 3
1 1 1
10 7
0 2 4
0 1 0
2 4 3
3 4 4
0 4 0
3 3 0
1 0 1
1 4 1
3 3 4
2 3 2
10 5
1 4 0
4 2 2
2 5 3
5 4 3
4 0 0
5 1 4
1 1 0
3 0 3
1 2 2
0 1 1
10 9
3 1 1
3 2 4
4 0 0
3 4 4
3 4 2
0 4 4
1 2 0
0 1 3
4 2 1
2 2 0
10 6
1 2 2
1 2 3
0 0 2
2 1 2
3 0 0
3 3 2
3 2 1
3 2 2
3 0 3
2 2 3
10 5
1 1 0
1 1 2
2 1 2
1 2 0
0 0 2
2 2 1
1 0 1
0 2 0
0 0 1
0 2 2
10 4
0 4 2
3 3 1
1 2 4
2 4 5
2 1 3
5 4 3
4 5 4
5 3 3
2 3 0
3 3 4
10 8
0 4 2
5 2 1
5 3 3
0 5 5
1 3 4
1 4 2
4 5 1
3 3 4
5 5 4
2 3 5
10 7
5 2 0
5 1 1
3 4 1
3 4 4
0 4 5
5 5 1
3 1 1
3 3 0
2 4 2
0 4 3
10 4
0 3 3
1 0 0
0 3 0
2 2 1
2 1 3
0 2 0
2 0 2
2 0 3
0 1 3
0 0 1
10 6
3 2 2
3 3 0
1 0 0
1 2 0
1 1 0
2 2 3
0 0 3
3 0 2
3 3 2
0 1 0
10 9
0 0 0
4 2 4
2 0 2
5 1 3
1 2 1
0 3 0
2 2 2
2 4 2
0 3 5
3 4 1
10 5
0 2 3
2 2 0
2 0 3
0 0 2
2 2 2
3 1 1
1 0 1
1 2 0
2 0 2
0 3 3
10 4
2 0 1
1 1 2
0 0 1
0 2 1
2 2 1
1 2 0
2 0 2
0 1 0
0 0 2
0 2 0
10 8
1 2 1
1 0 2
1 1 0
2 1 2
2 0 2
2 0 1
2 0 0
2 2 1
0 2 2
2 2 0
10 7
2 1 3
0 2 4
4 4 0
3 1 3
2 1 2
4 4 1
1 0 0
0 0 0
4 3 0
4 0 4
10 9
0 0 3
2 2 1
1 0 1
3 3 3
1 3 1
3 2 1
2 2 2
2 3 3
0 1 0
2 0 1
10 4
2 2 2
0 1 0
3 1 3
1 1 1
0 2 4
3 2 4
0 3 5
4 0 1
3 3 4
1 2 1
10 8
1 1 0
0 3 3
2 0 0
3 1 2
2 1 4
0 4 1
1 0 1
4 2 2
0 2 1
3 4 3
10 6
2 2 2
1 1 2
1 2 0
2 0 0
0 1 0
1 0 1
2 1 2
2 1 0
0 1 1
2 1 1
10 8
1 1 1
0 2 1
2 1 0
0 0 1
1 0 0
1 2 0
2 2 1
0 2 2
0 1 1
1 0 1
10 4
2 2 0
1 0 0
0 0 1
1 1 2
2 1 2
0 2 2
0 2 1
1 0 1
1 0 2
1 1 0
10 4
1 1 2
2 2 2
1 2 3
4 0 0
0 2 4
2 0 2
0 4 3
1 1 1
2 0 3
1 1 4
10 4
2 0 0
2 0 1
2 2 2
0 0 0
0 0 2
1 2 2
2 1 1
2 1 2
1 0 0
0 2 1
10 5
2 2 1
0 2 1
0 1 2
1 0 1
1 2 0
0 0 2
0 1 1
2 0 2
2 1 2
0 2 2
10 6
2 0 1
1 2 0
0 0 1
1 2 1
0 2 1
2 0 0
0 1 1
2 2 0
1 1 2
1 0 1
10 7
0 4 1
2 0 1
2 3 0
4 4 2
2 0 3
2 2 3
1 0 0
0 2 3
2 4 3
4 1 4
10 2
4 1 5
0 5 5
5 1 5
3 0 0
5 0 1
0 2 4
1 4 4
4 4 2
0 1 3
3 2 1
10 5
3 0 3
2 0 0
2 0 3
0 2 0
0 2 3
0 1 0
2 2 0
1 3 0
3 2 1
1 3 1
10 5
1 2 0
0 2 0
0 0 1
1 0 1
0 2 2
2 0 1
1 0 0
1 1 1
2 0 2
2 1 1
10 5
0 3 0
1 3 3
1 3 2
3 2 1
3 2 2
2 1 3
2 3 2
2 1 2
2 2 0
1 3 0
10 4
0 4 1
0 4 3
3 0 0
2 2 1
3 0 1
3 3 3
2 3 3
0 2 1
4 4 4
1 4 3
10 8
0 2 0
2 2 0
0 3 0
3 2 1
3 3 1
0 3 3
2 1 0
3 1 3
2 0 3
3 0 2
10 4
2 1 3
3 0 4
2 3 1
0 4 2
0 0 4
0 3 3
0 0 0
1 4 2
1 3 3
2 3 0
10 6
2 0 1
5 2 1
1 3 2
1 5 5
2 5 0
2 5 3
0 3 3
0 4 2
5 5 5
5 0 0
10 6
2 3 1
1 0 0
2 3 2
0 2 1
3 2 1
0 3 1
3 1 1
2 3 0
2 1 0
0 1 0
10 8
3 3 0
1 0 1
2 1 3
1 1 0
0 2 0
2 1 0
0 2 3
1 2 3
0 1 0
2 3 3
10 4
5 1 3
4 4 0
4 3 0
3 3 3
2 4 0
3 2 2
3 5 0
1 4 3
2 5 0
2 4 4
10 9
3 2 3
2 3 0
0 2 3
0 1 3
1 0 3
2 0 0
2 2 1
3 0 0
3 0 1
3 2 1
10 5
0 4 4
0 2 2
4 0 4
3 3 4
0 4 3
1 0 4
0 3 4
2 0 1
4 2 0
3 3 1
10 8
2 3 1
3 1 0
0 3 0
0 1 0
1 0 1
0 0 3
1 1 2
0 0 2
2 1 1
1 2 2
10 6
4 2 4
0 4 3
3 2 2
1 0 2
0 3 0
4 3 4
0 2 3
4 4 3
0 1 0
4 4 4
10 8
2 2 1
0 1 1
3 2 3
0 2 0
1 3 0
1 2 0
3 1 2
3 2 0
3 0 0
2 3 3
10 2
3 2 3
1 3 0
1 3 3
1 0 2
2 0 2
1 2 1
2 3 0
3 1 3
3 3 2
0 1 0
10 3
2 0 1
4 4 3
0 4 4
4 3 3
2 1 1
1 0 3
4 1 2
0 2 2
1 3 1
3 0 0
10 9
0 2 1
2 0 1
2 0 2
1 0 1
0 2 0
0 2 2
0 1 0
1 0 0
0 1 2
1 2 1
10 5
2 2 2
1 0 0
1 0 2
2 1 1
0 1 0
1 1 0
0 2 2
0 2 0
2 2 1
1 1 2
10 9
4 2 1
2 5 4
5 3 1
0 4 2
2 0 5
0 5 5
2 2 1
4 0 2
3 3 0
2 3 2
10 5
2 0 2
1 2 2
3 1 3
0 3 0
3 1 0
1 2 1
3 2 3
1 3 0
2 2 3
2 0 1
10 8
0 0 0
2 1 1
1 2 1
0 1 2
1 2 0
0 0 2
2 1 2
0 2 0
1 1 1
0 2 2
10 5
5 3 2
4 5 1
2 4 4
3 0 4
4 5 4
0 5 0
5 4 4
1 5 0
4 3 3
4 4 0
10 2
0 0 0
1 3 0
0 5 4
4 5 1
2 5 3
3 0 4
0 5 0
4 2 3
1 2 4
2 1 3
10 6
4 4 0
2 4 1
0 0 3
2 1 1
3 3 3
1 0 1
2 2 2
2 4 4
2 4 2
3 4 0
10 3
4 4 2
2 3 3
3 3 1
1 1 2
4 2 3
3 4 3
2 1 3
1 3 2
3 1 1
1 1 1
10 4
1 2 1
2 1 2
2 1 1
2 0 2
1 2 0
1 1 1
2 2 2
2 1 0
2 2 0
0 0 2
10 7
0 0 0
2 1 4
4 1 4
2 0 2
4 4 1
4 4 2
3 0 0
4 3 0
3 2 4
0 0 2
10 9
3 4 0
1 3 1
2 4 1
1 3 2
0 0 3
3 0 1
0 2 0
4 4 4
1 3 4
0 3 3
10 3
2 1 1
1 2 2
2 2 2
1 0 1
2 1 0
0 2 1
2 0 2
2 1 2
0 1 0
0 0 0
10 3
2 2 4
2 3 4
1 1 3
4 4 1
0 0 1
0 3 0
1 3 4
3 4 3
4 2 0
0 0 3
10 6
2 1 4
4 4 2
4 3 0
0 2 1
0 4 0
3 4 3
4 1 2
1 2 2
2 4 0
3 0 3
10 4
1 2 1
2 0 0
1 2 2
0 2 2
0 1 0
0 1 1
2 1 0
2 2 0
0 0 0
1 1 0
10 7
4 0 3
3 4 0
3 0 3
4 2 0
0 0 2
4 4 2
1 4 1
0 2 3
0 4 3
1 0 4
10 2
2 2 0
2 1 0
0 2 0
2 2 1
1 1 2
0 0 2
0 2 1
2 1 2
1 0 0
0 1 1
10 4
3 2 1
5 2 1
4 5 0
3 5 3
1 2 4
0 2 1
3 1 1
1 3 0
4 3 0
1 3 4
10 5
1 0 0
2 0 2
1 2 0
1 2 1
0 0 2
2 1 0
1 1 1
2 0 0
0 2 2
0 2 0
10 6
1 0 2
0 2 2
2 1 1
2 0 0
1 2 0
0 1 0
1 1 2
0 2 0
2 0 2
2 2 0
10 5
0 0 0
2 2 0
0 2 2
1 0 2
2 1 1
2 1 0
1 0 0
2 1 2
2 2 2
2 0 0
10 4
5 1 1
5 5 5
2 0 1
3 3 2
2 5 5
3 4 4
1 2 3
1 5 1
0 4 3
3 0 1
10 2
4 3 4
3 0 0
2 3 2
0 1 0
2 1 4
1 1 0
3 3 3
3 2 1
2 3 4
0 0 2
10 8
2 4 0
0 3 0
0 3 4
3 0 4
3 0 3
4 3 1
3 3 0
3 1 0
1 1 0
1 1 1
10 7
4 0 2
0 4 2
3 1 2
1 3 4
1 1 3
4 0 0
0 4 4
4 1 0
3 1 3
0 1 3
10 8
0 1 1
0 1 0
0 2 1
1 1 2
2 0 0
2 1 2
0 2 0
2 1 1
0 2 2
2 2 1
10 2
1 1 1
2 1 0
1 0 1
0 1 2
2 0 0
2 0 2
0 1 1
2 1 1
0 2 1
0 0 0
10 4
1 1 2
0 2 3
3 3 1
3 1 3
0 0 2
3 3 0
2 1 2
1 1 3
3 1 1
3 3 2
10 6
5 1 0
1 3 5
0 2 0
2 1 0
2 1 1
4 4 2
3 1 3
3 2 0
0 5 4
2 3 0
10 2
2 3 5
2 1 2
2 0 4
3 4 4
1 2 4
4 1 5
0 0 3
3 5 2
1 5 3
0 3 4
10 4
1 2 1
2 2 2
1 0 1
0 1 0
2 2 0
2 1 0
1 2 2
0 0 2
2 1 1
2 0 1
10 7
2 4 1
3 2 2
3 4 1
4 0 4
4 1 1
3 4 3
3 1 0
0 4 3
4 0 2
3 0 4
10 6
3 2 3
2 0 1
2 1 0
1 2 2
1 2 1
3 0 1
2 1 1
3 1 1
1 3 0
1 1 2
10 6
0 0 2
1 2 1
0 0 3
0 2 1
3 2 1
0 1 1
1 1 2
0 3 3
3 1 3
2 3 1
10 9
2 2 2
0 0 3
2 4 5
1 4 3
2 5 3
2 4 1
4 4 2
4 4 3
1 1 5
3 4 5
10 7
3 0 2
3 2 4
3 1 0
3 4 2
1 0 3
1 0 1
3 3 0
2 2 4
2 0 2
2 3 0
10 3
0 2 1
2 1 1
0 0 0
2 0 0
1 2 1
2 1 0
1 1 1
0 0 2
1 0 1
2 0 1
10 5
1 5 3
1 5 1
0 0 3
1 0 4
0 3 1
3 2 2
5 4 5
3 1 0
0 2 4
1 3 3
10 6
3 3 3
0 3 1
3 0 0
1 2 1
2 2 1
3 2 2
2 0 0
3 1 1
2 1 0
0 1 1
10 9
2 0 2
0 0 1
1 3 1
2 2 1
3 3 2
0 3 1
0 2 1
0 2 3
0 3 3
1 3 3
10 4
0 3 3
2 4 3
1 2 3
3 0 2
1 0 4
2 4 0
1 4 0
3 4 0
1 3 0
1 3 3
10 6
1 1 1
1 2 1
2 0 2
1 1 0
1 0 1
1 1 2
0 0 0
2 2 1
2 1 1
0 1 0
10 7
1 2 2
0 1 1
2 2 1
1 2 1
0 0 1
1 2 0
0 0 0
2 0 2
0 1 2
1 0 0
10 3
1 1 1
1 2 2
1 1 2
0 0 0
1 0 1
1 1 0
2 1 2
0 1 0
0 2 0
2 0 0
10 6
2 0 1
1 0 0
2 0 0
0 2 2
2 2 1
2 1 0
0 1 0
2 2 2
0 0 1
1 1 1
10 4
1 1 2
1 1 1
2 3 3
2 3 1
3 1 2
0 1 0
1 2 1
0 2 3
0 1 2
1 2 0
10 4
0 2 1
1 1 2
1 2 2
4 4 3
4 3 4
1 1 0
0 3 2
1 1 3
3 2 4
4 2 0
10 8
0 0 0
5 1 3
1 1 0
5 5 1
5 1 1
3 2 1
3 1 2
3 5 2
5 2 3
3 3 3
10 9
3 4 3
3 4 2
4 1 3
3 2 2
1 3 0
1 4 2
4 1 2
0 0 2
1 0 0
0 1 4
10 7
2 0 2
1 3 1
1 3 4
1 1 4
3 4 0
2 4 0
2 4 4
3 1 1
4 3 2
4 0 0
10 5
2 2 0
3 3 1
2 0 1
2 3 3
2 1 2
3 0 2
3 3 0
2 0 2
3 0 0
1 2 1
10 2
4 1 1
3 1 4
1 1 1
0 0 3
1 2 2
4 3 3
3 1 2
4 0 0
3 0 1
2 0 2
10 7
3 1 0
2 4 1
2 2 4
1 2 3
2 1 1
1 4 2
4 3 4
5 5 3
4 0 2
5 4 5
10 9
1 1 3
2 2 3
0 4 1
2 4 3
2 1 1
2 2 1
0 0 0
4 3 0
0 2 1
4 4 4
10 8
1 2 2
2 1 3
0 4 3
3 2 1
4 3 0
4 2 3
2 1 1
0 1 3
2 4 4
2 0 2
10 3
3 2 3
1 2 1
0 3 1
1 1 3
2 0 2
3 2 2
0 0 1
1 3 3
3 3 2
1 3 1
10 2
2 2 1
1 2 2
1 2 1
2 0 0
2 1 1
1 0 0
1 1 0
0 2 0
0 0 2
0 1 2
10 4
4 2 2
0 4 3
3 2 3
0 4 4
0 2 2
3 1 0
3 4 0
1 3 2
2 1 3
3 0 2
10 6
3 2 1
0 3 0
0 2 2
1 1 3
0 3 1
1 2 1
1 1 0
0 0 2
1 3 0
1 3 3
10 5
5 0 5
2 4 4
3 1 3
0 5 1
3 3 5
2 3 1
0 4 5
1 5 4
3 0 2
5 2 4
10 6
2 2 2
0 0 1
3 1 1
1 3 2
2 1 2
1 2 3
3 1 2
0 0 3
0 0 2
0 1 2
10 3
1 4 3
2 3 4
1 0 4
0 2 2
0 4 0
0 1 1
1 3 4
2 3 3
1 1 3
3 2 2
10 5
5 5 1
0 3 1
0 5 4
0 1 4
5 2 3
2 0 2
3 3 0
1 2 3
5 2 0
2 0 3
10 2
3 2 5
4 4 1
4 5 2
1 5 1
2 2 3
3 4 5
0 2 3
2 1 1
2 2 1
2 2 4
10 3
2 3 3
2 1 1
1 3 3
2 2 0
3 2 2
1 2 3
3 1 1
3 1 2
1 2 2
1 1 1
10 2
0 1 2
0 2 1
0 0 1
0 1 1
1 1 0
1 0 1
0 2 2
0 0 0
2 2 2
2 0 2
10 5
1 2 1
2 2 0
1 3 3
2 2 1
3 0 2
3 1 3
1 3 1
2 0 3
2 1 3
3 2 0
10 9
2 1 0
1 1 2
2 0 2
1 2 0
2 1 1
0 0 2
1 2 2
1 0 2
0 1 1
0 2 0
10 8
4 2 4
3 2 2
3 0 2
1 3 1
3 1 2
0 2 3
2 4 2
4 3 3
3 3 1
4 4 3
10 6
2 0 1
4 4 4
3 4 0
1 0 2
3 1 0
0 3 1
4 1 2
0 2 1
2 0 4
4 0 0
10 7
2 3 3
1 3 0
2 2 2
1 3 2
1 1 2
3 2 3
2 1 0
3 0 0
0 1 3
2 0 1
10 2
2 1 2
1 1 1
3 2 2
3 1 2
1 1 3
1 1 0
1 0 2
0 1 2
0 2 3
3 3 1
10 5
2 0 1
3 3 2
3 2 0
5 5 0
1 3 4
5 3 0
4 3 4
5 3 3
1 3 1
2 2 3
10 3
0 2 2
0 0 0
2 2 0
2 1 1
1 0 0
0 0 1
2 1 2
0 0 2
2 1 0
2 2 2
10 5
1 0 1
0 2 1
2 2 1
2 1 0
0 0 1
1 2 0
1 2 1
2 2 0
2 1 2
1 0 0
10 7
0 2 3
1 1 3
2 2 0
0 3 1
1 3 3
3 0 2
0 2 1
3 2 0
1 3 0
2 2 3
10 4
0 2 2
3 0 3
0 0 0
1 1 2
2 0 2
0 0 2
1 2 3
0 1 3
0 3 0
2 1 1
10 5
3 4 2
5 3 1
4 0 5
0 5 1
2 2 3
5 4 4
1 0 3
3 1 0
0 4 4
4 5 0
10 5
2 2 0
1 2 1
0 2 0
2 0 1
0 2 1
0 1 0
0 0 0
0 0 1
1 1 0
1 0 1
10 5
1 0 2
2 2 1
1 2 0
2 1 2
1 1 1
1 0 0
0 2 1
0 1 0
2 0 1
2 0 0
10 3
2 2 1
5 0 1
4 1 1
1 3 0
0 2 2
1 4 0
1 0 1
1 1 1
0 0 4
3 1 3
10 7
1 2 1
0 3 3
0 3 0
0 1 2
3 0 2
3 1 3
0 2 2
0 0 0
1 0 1
0 0 2
10 8
2 0 2
0 2 2
3 2 0
2 4 3
0 3 4
5 0 5
3 5 5
4 0 0
1 1 3
3 4 1
10 7
1 1 1
0 3 2
2 4 4
3 0 4
0 2 3
3 4 1
1 0 0
3 3 0
3 0 2
4 4 2
10 9
2 1 4
1 4 2
0 2 1
2 5 3
2 1 2
5 4 1
2 5 2
0 2 4
4 2 3
2 5 4
10 6
2 1 2
1 1 2
1 2 0
2 1 1
2 0 1
0 1 2
2 2 2
2 0 0
2 1 0
1 0 0
10 3
5 4 2
0 4 5
0 1 0
5 1 3
1 5 5
3 2 3
4 2 2
0 0 1
1 0 4
0 0 0
10 9
2 2 1
0 2 0
0 2 3
2 3 3
0 1 2
1 1 3
0 3 1
3 2 1
2 1 2
0 2 1
10 9
1 3 4
3 4 5
3 5 3
0 4 1
5 4 0
0 2 0
4 5 4
1 0 1
2 0 5
5 2 5
10 6
3 1 3
2 2 3
2 3 4
4 2 0
2 3 0
2 0 4
2 0 2
0 0 2
0 3 0
1 3 1
10 7
0 4 0
2 1 4
0 0 1
3 3 1
1 2 1
2 1 3
2 2 3
0 1 2
0 0 4
1 4 0
10 2
3 3 0
1 4 3
1 4 1
4 4 0
3 1 0
4 4 4
2 4 4
1 3 3
4 2 4
2 3 4
10 6
4 2 2
3 1 4
0 3 0
2 1 0
2 1 4
0 4 3
4 0 1
2 1 2
4 2 1
1 3 1
10 5
1 2 1
2 1 2
0 3 1
0 0 3
0 2 1
3 1 1
3 0 2
0 2 0
0 1 0
3 3 1
10 4
0 2 0
2 0 2
4 3 0
1 3 3
4 2 4
1 1 1
0 1 1
4 0 3
3 4 4
2 2 0
10 6
2 1 0
0 1 0
1 0 1
2 0 0
1 2 1
1 0 2
2 0 2
1 1 2
1 1 1
1 2 0
10 7
3 0 1
0 3 3
2 0 2
1 1 3
0 0 0
1 2 2
1 1 1
0 1 1
2 3 3
3 1 3
10 9
1 1 1
0 0 0
1 2 1
1 0 0
0 2 2
1 0 2
2 2 2
2 2 1
0 2 0
0 1 0
10 6
2 0 2
0 1 3
1 1 2
1 3 3
2 3 2
1 0 0
1 2 3
3 2 2
0 0 1
3 2 0
10 5
2 2 0
5 2 5
5 1 2
3 1 5
5 1 5
1 5 3
4 2 1
4 1 4
2 3 0
0 4 0
10 6
2 2 1
1 0 2
0 1 2
0 2 1
1 1 1
0 2 2
2 2 0
2 0 0
1 0 0
2 0 1
10 8
1 3 3
1 0 2
2 4 5
1 0 5
1 3 0
3 2 0
5 5 3
1 0 3
5 2 1
1 3 5
10 6
0 5 4
0 4 4
0 4 3
4 1 2
1 5 2
5 5 3
3 1 4
0 5 2
1 1 4
1 0 4
10 8
5 5 4
5 2 5
4 1 4
0 0 1
2 2 2
0 4 0
3 3 1
1 5 3
1 0 3
1 2 4
10 9
2 3 2
0 4 3
4 3 1
5 1 5
1 5 4
1 5 5
1 4 4
1 2 2
2 3 5
5 4 3
10 2
1 3 0
4 1 4
1 2 4
2 3 0
2 1 0
2 3 2
1 0 4
0 2 2
2 1 4
2 2 3
10 4
1 0 1
1 1 0
0 1 0
2 0 1
2 2 2
1 1 1
1 1 2
1 2 0
0 1 1
2 1 0
10 9
1 0 1
2 0 0
2 2 2
2 1 2
2 0 1
0 0 0
0 2 2
0 2 0
2 2 1
2 1 1
10 5
3 0 1
3 0 3
2 1 2
3 0 2
1 2 2
0 2 1
0 3 0
2 1 0
1 3 3
1 0 2
10 6
3 2 3
1 3 1
0 0 1
3 1 0
2 0 2
1 1 2
3 0 3
3 0 0
1 2 3
3 2 2
10 9
5 2 2
3 4 0
5 4 5
2 0 1
0 4 5
4 2 2
5 1 2
3 5 3
1 3 5
3 1 1
10 6
3 5 3
3 0 1
3 0 3
1 2 4
0 0 3
0 0 2
5 2 2
3 5 4
5 1 1
3 2 1
10 6
2 1 2
3 1 1
2 2 1
1 0 2
2 3 0
0 3 3
2 0 3
3 1 2
0 2 1
0 1 3
10 5
3 2 2
4 0 0
1 0 0
4 0 1
4 3 0
0 3 2
4 1 1
4 1 2
1 1 2
4 4 1
10 2
1 3 4
3 2 5
3 5 4
4 3 5
2 3 0
5 2 5
2 1 5
2 2 3
3 4 0
0 1 0
10 6
3 2 2
1 1 3
3 0 3
3 3 1
0 0 2
2 2 1
3 1 2
0 2 1
3 1 1
1 2 2
10 5
3 3 2
1 2 1
4 0 1
0 5 4
4 3 3
1 5 1
4 0 5
1 3 5
2 1 5
5 3 4
10 6
0 0 3
0 4 0
1 0 4
4 1 3
2 0 2
1 1 3
0 4 1
0 1 0
3 4 3
2 0 3
10 5
0 1 0
2 0 0
0 2 0
2 1 1
0 2 1
0 1 1
1 2 1
2 2 2
1 0 2
2 2 1
10 6
1 0 3
1 3 0
3 3 2
2 1 3
3 2 3
1 2 2
2 3 1
3 0 2
3 1 1
2 2 0
10 5
3 4 4
2 1 1
1 0 4
0 2 4
4 0 0
4 4 1
4 0 1
1 2 1
0 4 0
3 4 1
10 9
4 2 2
1 1 0
1 4 4
4 0 0
1 1 1
4 3 2
0 1 3
4 1 3
2 1 4
3 2 0
10 8
2 4 2
1 0 4
2 3 3
4 1 3
3 1 0
2 1 3
1 2 1
1 3 3
0 4 1
3 3 3
10 2
1 0 1
2 2 1
2 0 2
0 1 2
0 2 2
1 2 0
2 1 2
2 0 1
2 1 0
0 0 0
10 3
1 2 3
2 3 3
0 3 3
3 1 0
2 2 3
0 1 1
0 0 0
0 0 2
0 1 3
0 3 0
10 7
0 1 2
4 5 0
1 3 5
2 5 1
1 4 4
3 2 3
1 2 2
5 2 4
4 1 3
2 3 4
10 2
1 2 5
3 2 0
0 0 5
1 0 1
0 3 0
1 3 3
2 2 0
1 5 1
0 1 3
4 0 0
10 8
1 0 2
2 0 1
3 2 1
1 1 2
3 0 1
3 0 0
1 0 3
3 3 1
2 3 1
3 0 2
10 6
1 0 0
1 1 1
2 2 0
0 2 1
0 2 2
1 2 0
2 1 2
0 0 2
0 1 2
2 1 0
10 4
1 0 0
1 1 1
0 1 0
0 2 1
2 0 2
2 1 0
1 1 0
0 0 0
2 1 1
2 2 1
10 3
0 1 0
1 1 1
1 0 0
1 1 0
0 0 1
2 0 2
0 0 0
1 0 1
1 0 2
0 1 1
10 6
1 2 0
2 2 0
1 0 0
2 2 2
0 1 0
1 2 2
0 0 1
0 1 2
1 1 2
0 2 2
10 4
3 4 2
4 0 0
0 3 2
4 4 2
1 4 2
0 2 3
0 2 0
0 2 4
2 2 4
4 2 0
10 2
2 1 1
3 0 1
4 1 3
4 3 3
4 3 5
2 1 0
3 4 0
0 5 3
5 5 3
0 5 1
10 2
3 3 1
0 1 0
3 3 3
3 3 0
1 2 0
2 1 2
1 0 1
0 3 0
2 0 1
2 0 0
10 6
0 0 0
1 0 0
1 2 1
4 2 1
0 1 4
0 4 4
0 3 2
4 1 1
2 0 1
2 0 0
10 6
0 2 2
2 1 3
2 3 0
1 3 3
3 1 2
0 0 0
3 0 0
0 1 2
1 2 0
3 1 1
10 9
2 0 2
2 2 1
0 2 0
1 2 1
1 2 2
0 2 2
1 0 1
0 1 0
2 0 1
0 0 2
10 2
4 4 0
4 2 2
3 1 3
4 1 0
4 0 0
3 2 0
3 0 0
1 1 1
2 4 4
0 0 4
10 4
0 2 3
0 1 0
3 2 1
0 0 1
1 2 3
0 2 1
0 3 1
0 1 3
1 2 0
1 3 3
10 7
2 4 0
5 0 4
2 5 2
1 0 1
4 1 5
5 3 1
5 2 4
2 5 0
3 3 2
3 1 1
10 6
1 2 2
2 2 1
2 1 1
0 0 1
2 0 2
0 1 1
1 1 2
0 2 1
0 0 2
0 2 0
10 8
5 0 4
5 2 5
2 5 1
4 4 0
3 1 4
5 2 3
3 2 4
3 1 0
5 2 0
4 1 0
10 8
0 1 1
0 0 1
2 1 1
0 2 1
0 2 0
2 0 1
1 2 1
0 1 0
0 2 2
2 0 0
10 2
4 3 4
0 3 3
1 1 3
1 4 4
0 0 2
2 3 4
3 2 3
0 2 2
3 0 0
2 1 0
10 8
1 1 0
0 2 1
2 0 2
2 2 1
2 1 2
0 1 1
2 0 0
1 0 0
1 2 2
2 2 0
10 6
3 2 1
3 0 0
5 0 1
0 1 1
1 1 2
2 4 0
2 0 4
3 3 2
2 0 5
1 3 1
10 9
2 3 3
2 0 2
2 1 3
3 2 3
0 0 1
1 3 2
0 3 0
1 2 3
2 0 1
1 0 3
10 9
3 1 2
0 1 0
0 0 4
4 0 3
2 1 1
4 1 1
0 4 2
4 1 2
4 3 4
2 3 3
10 5
2 0 3
2 1 3
0 3 3
0 3 2
2 2 3
2 0 2
1 1 3
3 1 3
0 0 3
3 2 1
10 9
3 0 1
2 3 1
1 1 0
2 3 3
0 1 3
3 1 2
0 1 1
0 0 2
3 3 3
2 3 2
10 5
0 3 1
0 2 1
2 1 0
0 0 3
3 1 0
2 0 1
1 1 1
3 0 2
2 2 0
1 0 0
10 3
1 3 0
3 4 4
2 3 1
0 2 1
4 1 2
2 1 4
4 0 0
3 0 0
3 1 0
2 2 0
10 5
2 4 3
1 1 3
4 1 1
2 4 4
1 4 3
3 0 3
1 1 4
4 0 0
1 4 1
2 2 4
10 5
3 3 2
2 5 1
3 2 0
4 5 5
3 5 1
0 0 2
4 2 3
3 4 0
3 1 2
5 1 1
10 5
0 0 0
0 2 0
2 1 2
2 2 0
0 3 3
0 1 3
3 2 3
2 1 1
1 1 3
3 2 0
10 4
2 0 3
4 3 3
2 3 1
1 3 2
3 4 1
3 2 1
4 1 0
4 1 4
2 4 4
3 0 2
10 5
2 0 1
0 0 0
0 2 2
1 2 1
0 0 2
1 0 2
0 0 1
0 1 0
2 1 1
2 2 0
10 8
0 0 2
2 4 3
4 3 2
1 4 1
2 1 4
3 2 2
4 0 0
4 0 3
0 2 2
3 4 1
10 4
1 2 4
1 4 2
0 2 1
4 3 2
0 3 2
3 3 1
4 2 1
0 1 2
4 1 4
1 0 1
10 7
1 3 0
2 0 3
0 3 0
1 2 1
0 0 2
0 2 3
2 0 1
3 3 0
1 3 3
0 2 0
10 5
2 1 4
0 4 2
4 0 2
1 3 2
2 0 4
1 3 4
0 3 4
3 2 2
2 4 4
4 1 4
10 4
1 0 0
4 3 1
4 3 2
3 4 2
5 1 3
2 0 2
1 4 1
4 2 4
4 2 2
1 0 5
10 9
2 1 0
4 2 0
3 4 3
3 1 0
4 0 0
0 0 1
2 0 2
0 1 4
2 4 1
4 4 0
10 7
2 0 3
1 0 1
0 2 1
0 3 2
2 1 1
1 2 3
0 3 3
0 2 3
3 1 1
0 2 2
10 5
5 5 1
0 1 4
2 4 3
3 4 4
0 0 1
2 1 0
4 2 0
5 4 5
5 3 4
5 1 4
10 6
4 2 4
4 3 0
0 3 0
3 3 4
2 1 1
4 0 1
3 1 3
4 4 4
2 4 4
2 0 2
10 2
1 1 0
1 1 2
2 0 1
1 2 2
2 0 0
1 2 0
1 2 1
2 2 0
1 1 1
2 2 1
10 5
0 0 1
5 2 5
2 1 1
2 2 1
2 2 3
5 3 3
1 0 1
4 0 2
3 3 3
4 5 0
10 2
0 1 0
1 0 1
3 0 1
2 3 3
3 1 3
0 2 1
3 3 3
0 0 3
2 0 0
0 0 0
10 2
2 1 2
0 3 1
3 0 0
2 1 1
1 0 3
1 0 1
1 1 2
0 2 1
0 1 1
2 3 1
10 7
0 3 0
3 0 2
2 3 1
3 2 3
2 0 3
3 3 2
2 1 2
0 0 1
2 2 1
0 3 2
10 3
3 4 3
0 4 4
0 1 4
1 4 0
3 0 0
4 0 3
1 1 1
0 2 4
0 4 2
4 1 0
10 5
1 2 2
0 1 0
2 0 2
2 2 1
1 2 1
2 1 0
1 1 0
1 2 0
0 2 2
1 1 2
10 7
4 4 5
3 4 0
1 4 4
4 0 4
5 4 4
0 4 5
0 5 1
4 5 5
2 1 5
4 2 5
10 5
2 1 3
3 0 3
1 4 2
5 1 5
5 4 0
1 3 5
3 5 1
0 5 3
2 5 1
4 4 3
10 7
2 2 1
1 2 0
1 1 0
1 2 2
1 0 0
0 0 0
2 0 0
2 2 0
1 2 1
2 1 0
10 6
0 0 2
2 2 1
1 1 1
1 0 1
2 3 1
2 0 0
3 0 3
1 3 1
1 0 3
0 3 0
10 9
2 2 2
0 4 2
3 3 1
2 1 2
2 3 0
3 2 3
2 0 2
1 2 3
2 1 3
0 3 4
10 2
1 1 0
3 1 3
3 3 2
1 3 3
2 3 1
0 3 0
1 1 3
3 2 2
1 0 2
2 2 2
10 9
3 4 5
0 4 0
4 5 2
5 2 4
2 0 3
5 5 3
3 0 5
0 0 0
4 4 1
3 2 1
10 7
2 1 3
3 2 3
3 0 2
0 1 0
2 0 1
0 3 0
1 0 1
1 3 3
0 1 3
0 0 1
10 4
0 4 1
0 0 2
1 4 0
1 2 3
1 0 1
3 1 4
0 0 0
2 1 0
0 4 4
4 4 2
10 7
0 2 2
0 1 2
1 2 0
1 0 1
0 0 2
1 0 0
1 2 2
0 2 1
0 0 1
1 0 2
10 4
3 2 2
1 1 3
3 0 1
0 1 2
1 2 1
0 2 2
1 2 2
2 3 2
3 1 2
0 3 3
10 5
3 0 2
3 1 3
2 3 1
3 2 2
0 1 1
2 0 1
2 3 3
2 2 1
0 2 0
3 3 1
10 6
3 2 2
4 4 2
2 1 3
4 2 2
4 4 3
4 0 2
4 1 2
0 4 2
1 0 2
2 2 4
10 6
0 2 2
2 0 2
3 1 0
2 1 3
1 3 2
2 2 3
0 0 3
0 3 0
1 2 1
2 1 1
10 2
3 1 1
4 2 2
4 1 4
1 0 1
4 4 4
0 0 4
1 2 3
4 2 0
3 0 2
4 1 2
10 2
1 2 2
1 0 1
2 1 1
0 2 2
2 1 2
2 0 2
1 0 2
2 2 0
0 0 1
0 1 2
10 7
0 2 0
3 4 0
0 2 3
0 1 1
1 3 3
2 1 3
2 3 0
4 2 3
2 4 0
1 3 4
10 6
0 0 4
5 5 1
4 4 5
2 1 4
4 2 0
4 4 3
2 5 3
1 0 4
5 3 2
2 3 3
10 3
4 3 3
0 2 3
2 2 2
3 2 3
1 2 2
3 1 1
4 4 0
2 1 1
4 4 1
1 0 2
10 3
0 0 2
0 1 2
2 2 1
2 0 0
1 0 0
1 0 1
1 1 0
1 2 1
2 1 0
1 1 1
10 5
2 1 2
1 1 2
0 1 1
1 0 1
1 2 0
0 2 1
0 1 0
2 1 0
0 1 2
1 0 0
10 8
0 2 3
0 0 3
2 0 3
2 3 3
0 1 1
1 3 3
2 0 0
3 2 0
0 2 1
1 1 0
10 8
1 2 2
1 4 0
1 5 0
2 4 2
3 2 3
2 5 4
5 3 5
1 1 5
1 0 0
4 0 4
10 5
3 4 5
0 0 3
0 3 4
3 5 4
2 5 4
0 4 4
5 5 1
0 1 1
5 1 3
2 4 4
10 2
4 5 4
4 2 2
3 0 5
0 4 4
2 1 2
2 3 5
0 2 5
3 0 4
2 5 1
4 3 3
10 5
3 2 4
1 1 4
2 0 0
0 3 2
3 4 2
4 3 4
1 2 1
3 2 1
2 3 0
0 1 2
10 6
2 4 4
3 0 0
0 4 4
2 0 2
3 1 0
0 0 3
3 0 1
0 3 0
3 4 4
1 3 0
10 4
1 3 3
0 2 1
0 2 2
1 2 3
1 1 0
3 3 1
2 1 1
2 0 0
2 2 2
2 3 3
10 7
1 2 4
0 2 5
5 1 2
3 5 1
2 3 3
4 4 0
5 2 3
1 1 0
1 2 5
3 4 0
10 4
3 3 1
0 4 1
4 0 1
4 1 2
1 2 2
0 5 0
4 2 0
2 0 3
3 3 4
4 5 5
10 4
0 0 2
0 2 0
0 0 1
2 2 1
0 1 0
1 1 1
2 2 0
1 2 0
2 0 2
1 1 2
10 7
2 1 1
0 1 0
1 0 2
1 2 1
2 2 0
2 0 2
0 2 0
1 1 1
2 2 2
1 2 2
10 3
1 1 2
3 1 3
3 1 0
3 0 1
2 3 2
0 0 3
2 2 3
0 2 0
2 1 3
2 2 1
10 8
2 5 2
0 3 3
5 1 1
3 2 2
4 1 1
2 1 2
0 0 5
1 0 3
0 1 0
1 1 4
10 2
4 0 0
3 2 0
1 4 4
1 1 1
0 1 2
2 4 4
5 3 1
3 0 3
3 0 1
5 3 3
10 8
3 4 3
0 2 1
1 2 0
0 3 0
2 4 2
4 3 2
5 4 4
3 1 3
1 5 5
5 1 2
10 8
3 3 3
0 2 5
1 4 3
3 4 5
4 5 3
3 2 5
1 4 4
1 5 3
2 0 0
4 3 4
10 4
1 2 3
4 0 1
2 2 4
1 1 2
4 3 4
3 0 3
4 4 4
0 2 2
3 4 1
1 4 1
10 5
5 2 2
3 4 2
3 0 5
3 2 3
3 5 2
5 1 3
4 5 0
4 2 3
3 5 5
1 5 2
10 6
3 3 2
1 1 1
0 3 1
0 0 0
3 3 3
2 3 2
0 2 1
3 3 1
1 0 0
3 1 3
10 4
3 0 2
0 0 3
3 3 1
2 4 2
0 4 4
0 4 3
2 1 3
0 0 0
4 4 4
4 3 3
10 7
3 4 1
0 4 3
1 2 0
3 4 0
4 1 2
4 1 4
5 0 2
0 5 3
4 3 2
4 2 0
10 4
0 5 0
4 4 2
4 5 1
2 4 5
3 3 1
5 3 2
3 2 0
2 3 1
0 0 2
1 4 3
10 5
0 2 3
1 0 3
4 2 3
0 1 3
2 0 1
1 4 0
3 1 0
3 3 2
2 3 4
1 4 3
10 8
2 0 5
3 4 3
2 5 3
5 3 0
5 4 0
4 1 3
1 4 4
5 3 3
0 0 0
1 2 4
10 5
1 2 1
0 0 2
1 2 2
0 2 0
2 1 0
2 2 0
0 2 2
0 1 0
1 1 0
2 0 0
10 3
1 3 1
3 3 2
0 3 2
0 1 2
3 0 3
1 1 2
3 1 0
2 1 2
3 0 0
1 3 3
10 5
1 1 3
0 5 3
0 1 1
2 0 3
1 0 1
5 4 4
3 1 1
3 3 4
2 3 4
3 2 4
10 6
2 2 0
1 3 1
3 1 3
0 0 2
3 2 2
3 0 1
2 0 1
1 0 1
1 2 2
2 3 0
10 9
2 3 3
3 3 1
3 1 4
5 4 0
4 2 3
3 0 2
1 2 4
1 5 2
4 1 4
1 4 3
10 4
4 3 2
3 4 0
1 4 2
4 3 4
2 3 0
3 4 2
0 2 4
1 4 0
4 1 0
0 3 0
10 8
3 0 2
4 3 4
3 4 3
4 4 0
2 2 4
0 2 4
2 4 3
2 0 0
1 4 0
3 0 4
10 3
5 0 1
0 2 2
0 1 2
2 0 3
3 2 5
0 3 5
5 3 4
5 1 2
4 0 1
3 3 2
10 8
2 1 2
1 2 2
0 1 1
2 1 1
1 1 2
0 1 2
0 0 2
1 0 1
2 2 1
1 0 2
10 5
2 1 1
0 3 0
2 0 1
3 0 2
0 0 2
3 2 3
4 0 4
1 1 1
2 0 4
4 2 2
10 5
4 4 4
2 2 4
2 0 3
0 1 0
2 2 2
4 4 3
0 4 2
1 4 3
0 2 1
4 2 2
10 8
1 0 0
0 0 2
1 1 1
0 0 0
1 1 0
1 0 2
2 2 1
0 2 2
1 2 1
2 0 2
10 9
0 0 2
1 2 0
1 0 2
2 2 2
0 2 0
2 1 2
1 2 1
0 2 2
0 1 0
0 1 1
10 5
2 0 5
5 0 4
2 4 1
5 1 1
2 2 2
3 5 0
5 0 3
5 3 3
3 3 0
3 1 4
10 7
4 2 3
0 2 4
1 1 5
4 5 0
0 2 1
2 0 2
4 4 3
4 1 3
5 5 3
4 0 3
10 9
1 2 0
0 1 0
2 2 2
0 1 1
1 2 1
0 2 2
0 1 2
2 0 2
2 1 1
0 2 1
10 9
2 3 0
4 4 3
0 3 1
0 1 1
0 4 0
2 4 3
0 3 3
2 3 4
0 1 3
1 2 4
10 9
2 1 0
1 0 0
2 1 2
2 1 1
0 0 1
0 2 0
0 2 1
1 2 1
0 1 2
1 1 2
10 4
0 0 1
0 4 3
1 4 4
5 1 0
5 2 4
0 3 4
5 1 4
2 4 3
3 2 5
4 3 0
10 7
0 2 3
1 1 0
4 0 4
1 4 2
2 1 0
2 0 3
3 3 2
3 1 3
1 0 1
1 4 0
10 8
0 1 1
1 0 0
1 0 2
2 2 1
3 2 0
1 0 3
3 0 2
1 3 2
0 0 1
1 3 0
10 3
3 2 3
2 1 0
0 1 1
0 1 2
2 0 1
0 1 0
3 0 3
3 0 1
0 0 0
3 1 2
10 7
0 2 2
0 0 2
0 2 0
2 0 0
0 2 1
2 1 0
2 1 2
2 2 0
0 0 1
1 2 1
10 4
1 0 1
0 2 2
1 1 0
0 1 0
0 0 1
1 0 2
0 2 1
1 2 0
0 2 0
2 2 2
10 3
2 0 3
0 0 0
2 2 0
4 1 3
2 3 0
4 5 3
5 0 2
3 1 5
3 5 1
4 4 2
10 8
1 0 3
0 2 1
1 0 2
2 2 1
1 1 3
3 2 0
0 2 3
1 0 0
0 0 1
3 1 0
10 3
3 4 1
3 4 4
0 0 1
4 3 0
2 4 3
1 0 3
3 4 3
0 4 4
2 1 4
1 4 3
10 7
4 5 4
5 3 0
4 3 5
2 0 5
1 4 4
4 5 1
4 2 2
3 0 4
2 1 1
3 1 5
10 7
1 2 2
1 1 0
1 2 0
0 3 3
3 3 2
1 3 3
0 2 3
0 1 2
0 0 0
1 3 2
10 2
0 1 1
4 3 0
0 0 3
0 3 4
4 3 4
1 1 1
1 4 4
3 3 4
3 0 1
3 3 3
10 2
1 3 1
0 0 1
3 3 1
1 1 3
0 3 2
3 2 1
0 0 2
3 2 3
3 1 3
0 1 2
10 5
3 4 1
1 4 0
4 3 1
5 3 1
4 3 0
5 0 5
5 5 1
3 3 4
2 1 0
5 4 2
10 2
2 2 1
2 2 2
1 2 1
1 0 2
0 1 1
2 1 1
0 1 0
1 2 0
2 2 0
2 0 2
10 2
4 3 3
0 4 1
3 4 0
1 4 1
2 3 1
4 2 4
2 1 3
1 2 1
3 3 0
1 0 0
10 2
2 1 1
2 2 1
1 4 0
1 2 5
4 1 1
3 3 2
0 2 2
5 5 3
3 3 3
3 2 2
10 9
2 0 2
1 0 1
0 1 0
0 1 1
1 1 2
0 0 2
0 0 1
2 2 2
2 1 1
2 0 0
10 3
1 0 0
2 1 1
2 0 2
0 0 2
2 0 1
0 2 2
1 1 0
2 2 2
1 2 2
2 0 0
10 7
1 1 1
2 1 0
0 2 1
0 1 0
1 1 0
1 1 2
1 2 2
2 0 1
0 0 1
1 0 2
10 4
0 0 3
3 3 2
2 1 1
1 2 1
3 0 3
1 1 3
3 0 0
3 3 3
2 0 2
0 1 3
10 6
2 2 1
1 1 1
2 2 2
2 2 0
2 1 1
1 0 1
0 1 1
1 2 0
0 0 1
1 0 2
10 9
1 0 2
1 3 0
1 2 0
2 1 3
1 3 2
0 0 0
2 1 0
3 1 2
0 1 3
3 2 3
10 4
1 1 0
0 1 3
3 1 1
2 0 2
2 2 2
0 2 2
2 2 0
2 3 2
3 0 0
1 1 3
10 9
4 3 1
4 2 1
4 4 1
2 4 4
2 3 0
3 1 0
3 3 3
3 4 0
2 2 0
4 3 4
10 8
0 0 3
1 1 1
3 1 2
1 2 2
2 3 3
3 0 1
2 1 1
3 1 1
2 1 2
3 0 2
10 9
3 3 0
2 3 2
2 2 2
3 0 3
1 3 2
3 1 2
0 3 2
1 2 3
3 0 0
2 2 0
10 4
1 0 0
0 2 3
1 3 0
2 4 2
2 1 3
3 0 0
4 1 2
2 1 2
4 0 4
1 2 0
10 7
2 0 0
1 1 0
2 1 0
2 1 2
1 0 1
1 0 2
2 1 1
0 0 2
1 1 1
1 2 2
10 9
1 3 2
1 1 3
0 3 3
1 0 1
3 2 2
3 3 3
0 3 1
3 3 2
1 0 0
3 0 1
10 7
0 1 1
1 0 1
2 2 1
1 2 1
1 1 0
2 1 1
1 0 0
0 0 1
0 2 0
0 0 2
10 6
0 1 2
4 1 1
2 2 4
1 2 4
3 4 4
4 4 2
4 1 0
2 3 3
2 1 2
1 3 0
10 7
3 4 3
4 0 0
4 3 1
1 3 3
2 3 0
1 2 0
1 2 1
0 3 1
2 2 2
3 2 4
10 4
1 0 1
2 1 0
1 1 2
1 2 0
2 0 2
0 1 0
2 0 0
0 0 1
0 0 0
0 2 1
10 3
2 2 2
1 2 3
3 3 3
0 1 3
0 3 3
0 2 3
2 0 3
1 3 2
1 1 0
0 2 0
10 7
2 5 3
2 3 3
5 1 3
0 2 0
0 4 3
4 0 3
3 0 2
0 0 3
5 1 5
4 3 5
10 2
3 3 4
0 0 1
2 2 3
1 2 1
4 5 2
5 5 1
5 0 4
3 1 2
1 4 1
1 0 0
10 3
0 0 3
0 3 2
3 1 2
0 1 3
0 2 1
3 0 0
3 2 3
3 3 3
0 1 1
3 1 0
10 2
2 0 2
2 1 0
2 1 2
0 1 1
1 1 0
0 0 1
1 0 0
1 2 2
1 1 1
2 0 1
10 6
1 1 4
1 0 5
5 0 1
2 3 3
0 1 4
1 2 2
5 5 3
1 0 3
5 0 3
1 5 1
10 6
1 0 2
0 0 1
1 1 2
2 2 0
2 1 1
1 2 1
2 2 1
2 1 2
1 0 1
2 0 2
10 2
1 1 4
3 2 0
1 1 1
0 2 4
4 4 0
5 0 3
2 5 3
2 1 3
4 2 4
2 1 2
10 3
2 2 0
2 1 1
0 0 2
0 1 0
0 2 1
1 2 2
1 1 1
2 0 1
0 0 1
2 2 1
10 7
3 2 2
5 3 2
1 5 5
3 4 1
1 5 4
4 2 0
4 0 0
0 4 1
3 2 4
3 1 0
10 6
1 5 2
4 3 3
1 1 4
4 0 0
2 3 3
1 4 2
2 1 3
1 5 1
0 2 3
0 4 1
10 5
0 2 2
4 1 0
0 4 0
0 3 2
2 1 3
1 0 0
0 1 3
1 1 0
2 1 1
2 3 1
10 8
2 1 0
1 1 1
1 1 0
0 1 0
2 0 0
0 0 0
2 1 2
1 0 0
0 0 2
0 1 1
10 7
1 3 0
2 0 0
5 5 5
1 3 5
4 0 3
3 0 2
0 5 4
1 2 3
0 5 0
5 4 5
10 6
2 2 3
1 2 1
1 3 3
0 3 2
3 2 3
0 1 3
2 1 1
2 3 3
0 1 1
0 2 0
10 9
3 1 3
0 3 0
2 0 1
3 1 1
2 2 2
1 3 2
2 2 3
3 0 1
1 2 3
1 1 3
10 4
0 2 0
2 2 1
1 0 0
0 1 0
0 0 2
2 1 2
0 1 1
2 2 0
1 0 2
1 1 1
10 9
0 0 2
1 1 0
2 1 2
1 2 0
2 0 1
1 1 1
0 1 2
0 1 1
0 2 1
2 0 0
10 2
1 0 4
3 0 4
3 4 5
0 0 1
5 3 3
2 4 3
4 2 5
0 5 4
0 5 5
1 3 3
10 2
2 4 1
1 5 2
0 1 2
4 1 1
3 1 5
5 4 4
5 2 0
3 2 3
4 2 0
3 2 5
10 2
2 1 3
4 1 1
2 2 2
4 3 0
2 4 0
4 3 1
0 2 0
0 3 4
3 2 4
1 0 3
10 9
3 1 4
0 0 5
4 1 5
2 5 5
1 3 4
5 1 2
4 3 4
5 5 0
3 1 2
5 1 0
10 7
0 3 1
2 0 2
0 3 0
0 0 1
0 3 3
0 2 0
2 3 3
3 0 0
3 0 3
3 1 2
10 4
2 0 1
2 1 0
2 0 2
2 1 2
0 2 0
0 2 1
2 2 1
1 1 1
1 0 0
1 2 2
10 7
0 1 2
2 2 2
0 0 2
2 0 2
1 1 0
0 2 1
2 1 0
1 2 0
1 1 1
2 0 0
10 4
1 1 0
0 2 1
1 0 1
2 0 2
1 1 1
1 2 0
1 1 2
0 1 2
0 0 1
2 2 1
10 5
5 3 1
4 4 4
4 3 2
0 2 5
2 2 3
3 1 2
2 1 4
3 0 1
0 2 3
5 0 3
10 3
5 2 1
3 3 0
3 3 1
0 3 0
0 1 4
1 2 1
2 5 1
4 0 0
4 1 5
0 5 1
10 4
2 3 5
1 3 0
0 4 5
5 1 0
3 1 0
2 4 0
5 2 1
3 0 4
5 1 4
3 1 3
10 2
1 4 4
1 5 4
3 1 2
0 2 0
0 2 5
4 5 4
0 0 5
0 4 4
1 3 5
4 4 4
10 3
1 5 1
0 0 3
3 3 5
0 5 2
0 1 1
4 2 1
5 1 5
1 5 5
0 4 1
1 1 1
10 9
1 0 0
1 1 0
1 2 1
2 3 1
0 3 3
2 0 1
2 1 3
1 2 3
3 3 2
3 3 1
10 6
4 0 3
0 2 1
0 2 0
1 2 0
0 4 4
1 1 3
1 0 0
1 0 2
2 1 0
3 2 0
10 7
2 4 2
3 2 3
1 4 2
0 3 2
2 4 0
3 4 3
2 1 0
0 3 3
4 0 3
3 1 4
10 9
1 4 4
2 1 1
2 4 0
2 4 2
1 1 0
3 4 2
4 3 3
4 0 1
1 4 3
1 2 1
10 2
2 0 1
3 0 1
3 0 0
0 3 3
3 1 0
1 0 2
0 3 2
2 1 2
3 0 2
2 3 0
10 2
4 2 4
2 3 1
4 4 1
0 1 0
2 2 2
4 2 2
2 2 3
3 3 0
4 1 1
0 3 4
10 3
4 4 3
0 5 5
0 1 3
4 2 0
2 4 4
3 0 0
5 4 0
4 0 0
5 1 0
1 3 0
10 6
2 1 3
3 2 2
2 3 1
2 2 3
1 3 1
0 1 3
2 3 3
2 3 2
2 0 0
2 2 2
10 4
2 0 1
2 4 1
0 4 4
3 2 2
4 0 2
2 0 0
2 4 0
1 0 3
1 4 2
0 3 0
10 5
2 3 0
2 4 4
1 1 0
0 1 3
0 0 1
4 4 3
4 5 3
3 4 3
0 5 0
0 3 3
10 5
4 4 4
3 4 0
0 1 4
2 3 1
4 4 0
4 1 4
1 1 3
1 2 2
2 2 2
3 4 2
10 5
1 3 2
5 3 2
1 2 1
0 4 5
2 3 3
0 0 5
0 2 5
3 2 1
5 3 0
5 5 4
10 5
2 2 1
3 1 2
1 4 4
2 3 0
3 4 4
3 2 3
0 2 1
3 0 4
0 4 2
0 1 4
10 9
0 1 2
0 0 0
2 2 2
0 1 0
2 1 2
2 2 1
1 0 2
0 0 2
1 0 0
2 1 0
10 8
2 1 0
0 0 2
0 2 0
0 2 3
3 0 0
3 2 0
3 0 3
2 1 1
3 1 2
0 0 3
10 9
0 3 1
4 3 1
3 1 0
1 4 1
3 4 1
1 3 4
2 1 1
1 4 2
1 0 2
4 1 3
10 3
2 1 1
0 1 0
0 0 1
2 1 0
1 0 2
1 2 1
0 2 1
2 0 1
1 2 0
0 2 0
10 4
4 4 4
1 4 4
4 1 2
2 4 3
2 2 0
4 3 3
1 1 2
0 4 3
4 0 2
3 4 0
10 4
0 3 4
1 1 0
0 0 2
0 1 1
4 2 4
0 4 4
0 1 0
1 4 2
3 0 2
4 1 1
10 7
3 1 2
1 1 2
2 0 0
2 3 0
0 3 0
2 0 2
2 2 0
1 0 2
2 1 1
1 1 0
10 5
4 3 4
5 2 3
2 1 1
5 0 0
0 4 4
4 5 1
4 3 1
2 3 4
2 3 5
5 0 3
10 8
1 0 0
2 2 1
1 1 2
0 1 2
2 0 1
2 0 2
0 1 0
0 2 0
1 0 2
2 0 0
10 7
2 0 0
1 1 0
2 1 2
1 0 0
1 0 1
0 0 1
2 1 1
0 1 1
1 1 2
0 2 2
10 2
0 2 1
0 2 0
2 0 1
2 2 2
1 0 2
1 0 1
2 1 0
0 0 1
1 1 1
0 1 0
10 7
3 3 2
3 4 4
2 4 0
4 4 4
1 2 4
2 4 2
4 3 2
4 3 4
1 3 0
2 3 0
10 9
0 2 1
1 1 2
1 1 0
2 0 0
1 0 0
0 0 0
1 2 1
2 2 0
2 0 1
0 1 0
10 8
0 2 0
2 2 2
2 1 0
0 0 0
0 0 1
0 2 1
1 1 2
1 2 1
1 2 0
1 0 2
10 7
0 0 4
4 4 3
1 0 4
4 3 1
3 3 4
1 0 0
1 1 3
1 0 1
2 3 4
0 1 1
10 3
3 5 0
0 2 2
1 2 5
0 1 2
4 5 2
0 0 4
2 3 0
5 5 4
2 1 5
3 2 2
10 8
2 0 3
0 3 1
3 0 3
3 2 0
1 0 3
1 0 2
1 3 0
3 3 2
0 0 2
1 1 2
10 6
0 2 2
2 0 2
1 2 2
2 1 0
1 1 2
0 2 1
2 0 1
0 1 0
0 0 2
0 2 0
10 6
0 2 0
2 2 2
0 3 1
1 2 0
0 2 2
2 2 1
3 1 0
3 3 3
0 2 1
1 3 3
10 3
4 1 3
0 4 4
2 1 4
4 4 2
0 3 0
0 3 4
2 4 1
2 4 2
3 1 3
1 0 1
10 7
0 0 2
2 1 1
2 2 0
1 0 2
2 1 2
2 2 2
1 0 1
0 1 1
0 1 2
1 2 0
10 8
0 0 3
4 1 2
0 5 3
3 3 5
5 2 2
1 1 4
0 1 1
2 4 4
5 0 1
5 3 2
10 9
1 4 1
3 3 3
3 3 4
3 3 1
3 0 2
3 1 2
2 3 0
1 3 1
0 0 0
1 0 4
10 2
5 5 1
5 0 4
1 5 0
3 5 0
3 4 4
1 5 4
1 2 2
2 3 1
0 0 1
1 1 5
10 9
4 2 1
4 4 4
3 1 3
1 3 4
3 3 1
1 2 0
0 0 4
2 2 4
4 4 0
1 1 1
10 2
3 2 2
1 1 2
2 3 2
2 2 2
3 1 0
0 1 2
1 2 1
2 2 1
2 0 3
1 0 3
10 8
2 1 2
0 1 0
0 2 0
1 1 0
1 0 2
1 2 0
1 2 2
0 2 1
0 0 1
2 2 1
10 4
3 2 3
2 1 1
2 1 2
3 1 2
3 0 2
3 3 2
0 0 3
0 0 2
3 1 1
3 0 0
10 7
4 1 0
1 3 3
1 4 4
3 2 4
1 1 1
3 3 4
3 0 4
3 4 1
0 1 3
3 0 2
10 6
1 3 0
1 1 0
1 3 2
3 1 2
3 2 1
0 3 3
1 2 3
3 3 2
1 0 1
3 0 3
10 7
3 2 2
0 0 0
0 3 1
2 2 0
1 4 1
3 3 1
3 3 2
0 3 4
4 3 2
0 3 0
10 8
0 2 3
2 3 0
1 3 2
0 2 1
1 2 0
0 3 0
1 2 3
3 2 1
0 2 2
2 2 1
10 2
1 2 0
0 1 0
2 1 0
1 0 2
0 1 1
2 0 1
2 1 2
0 0 2
0 1 2
1 1 0
10 6
2 1 0
0 1 1
1 2 0
3 0 3
1 3 2
3 1 0
0 1 0
0 3 3
0 3 2
2 0 3
10 9
0 1 3
1 3 1
1 1 0
2 1 3
3 0 2
2 3 1
0 3 0
3 1 0
2 0 2
1 0 0
10 8
0 0 3
2 3 0
0 0 2
0 3 0
2 2 1
1 2 2
2 1 2
3 1 0
1 1 0
3 0 3
10 9
4 2 2
0 3 1
0 4 2
0 0 4
1 4 3
1 1 3
3 1 2
2 3 1
1 1 2
3 0 2
10 6
1 1 3
3 1 1
0 2 1
3 2 1
1 0 1
3 2 0
2 2 3
2 3 1
2 3 0
0 3 1
10 6
1 2 2
2 0 0
0 1 0
0 0 2
2 1 2
1 1 2
2 1 0
1 0 1
0 1 2
1 2 1
10 5
1 0 1
2 2 2
1 1 0
2 2 0
0 2 1
1 0 0
1 2 1
0 0 2
0 0 0
0 2 2
10 6
1 0 1
0 0 1
0 0 0
2 2 1
2 1 2
2 0 1
2 0 0
0 2 0
2 2 2
1 1 0
10 2
0 2 2
0 0 1
1 1 2
1 0 0
0 2 1
2 0 1
1 2 0
2 1 2
1 0 1
2 0 2
10 5
3 0 3
3 0 1
0 3 0
2 3 1
3 0 0
3 2 1
2 0 3
1 1 3
1 0 1
2 0 2
10 9
2 0 1
1 2 1
1 0 1
1 0 0
0 0 0
1 1 1
1 1 0
0 2 2
2 2 1
0 1 2
10 9
4 2 2
3 0 0
4 0 0
2 4 2
4 0 4
2 4 0
3 0 4
0 0 3
0 2 1
4 1 0
10 2
3 1 1
1 2 1
0 0 0
1 0 1
0 3 0
2 3 3
0 0 2
1 3 2
3 3 0
1 2 3
10 7
5 0 2
5 2 2
2 5 1
2 3 3
5 3 2
0 5 4
0 2 4
4 5 4
4 2 2
1 1 5
10 8
2 2 1
1 2 1
0 0 0
2 1 2
0 1 1
2 2 0
0 2 0
2 0 0
1 1 0
1 0 0
10 3
2 4 0
2 1 3
3 3 1
4 2 2
1 0 4
1 4 0
4 1 4
2 3 0
1 3 4
3 1 2
10 2
0 2 1
0 2 2
0 2 0
0 1 2
2 2 0
0 1 0
0 0 0
1 1 1
2 2 1
1 0 2
10 5
2 2 2
0 0 0
0 1 2
2 0 0
2 2 1
0 1 1
1 0 2
0 0 2
1 1 1
1 1 0
10 8
0 2 2
3 1 3
0 0 1
0 0 3
0 1 2
2 3 0
2 0 0
3 2 1
1 2 1
0 0 2
10 7
3 2 2
5 2 2
0 2 5
1 1 2
5 5 0
1 5 3
2 1 0
2 4 3
3 3 1
5 0 4
10 9
1 2 2
2 2 2
1 1 2
1 1 0
0 2 1
1 0 2
2 1 1
2 2 1
2 1 0
0 1 2
10 3
4 2 1
3 3 4
1 0 1
3 3 3
2 0 4
0 1 2
3 3 1
0 1 3
4 3 3
4 3 0
10 3
5 5 3
5 3 3
1 3 1
4 4 5
0 3 1
4 4 4
3 2 5
1 3 5
3 3 1
1 3 0
10 8
5 3 1
5 0 4
4 5 0
2 0 2
4 4 1
2 3 2
5 1 2
3 1 5
1 3 4
0 4 0
10 7
1 0 1
0 0 1
0 0 0
2 0 2
2 1 1
2 2 1
2 0 1
0 1 1
2 1 2
0 0 2
10 7
1 0 2
1 2 2
1 2 0
1 1 0
2 0 0
2 2 0
0 0 0
2 0 2
0 1 0
2 0 1
10 6
3 0 3
0 1 5
4 2 1
5 3 0
2 3 2
0 3 5
5 4 5
3 1 4
3 3 1
4 0 3
10 4
2 3 4
3 3 2
3 1 2
2 0 4
0 4 2
0 0 3
0 1 1
2 2 1
4 0 2
2 4 2
10 7
2 2 2
0 1 1
3 1 1
0 0 0
3 4 1
0 4 1
0 4 0
0 4 4
1 0 2
4 4 4
10 8
1 2 3
3 1 0
0 0 1
0 3 0
0 1 2
3 2 2
1 1 0
3 1 3
3 0 0
1 2 1
10 6
2 3 1
2 0 2
1 3 1
1 0 0
2 3 0
1 1 1
1 2 0
3 1 1
1 1 0
2 1 3
10 7
2 2 0
2 1 1
1 1 1
1 1 2
1 0 1
0 0 1
1 0 2
2 1 2
2 0 1
2 2 1
10 4
4 0 2
2 4 2
1 0 2
0 3 4
3 2 1
4 2 2
4 4 3
3 2 0
3 0 2
1 1 1
10 3
3 4 2
1 4 3
4 3 0
4 4 1
2 2 0
4 0 2
4 4 4
3 4 3
1 3 3
0 0 2
10 9
1 1 1
1 2 1
1 1 2
2 1 0
0 2 0
2 2 1
0 0 0
1 2 2
1 1 0
2 0 1
10 8
2 1 1
0 1 0
1 0 1
0 0 2
0 0 0
2 1 0
1 2 0
1 1 1
1 2 2
2 0 0
10 7
2 1 0
0 2 2
2 0 0
0 1 1
1 0 2
0 0 0
2 2 2
1 1 0
1 1 2
0 2 0
10 9
2 3 3
1 2 3
0 4 3
4 0 1
2 1 1
4 4 2
2 3 4
1 1 0
3 0 2
2 0 0
10 7
2 4 0
0 1 3
4 4 2
3 2 4
4 0 1
1 2 4
1 1 3
1 2 3
4 1 0
4 4 0
10 2
0 0 0
1 3 1
2 0 3
4 4 0
1 3 2
3 0 2
2 3 2
1 0 1
4 0 0
3 1 3
10 6
1 1 0
0 2 0
2 0 2
1 1 1
2 2 1
1 0 0
2 1 0
2 2 0
2 1 1
0 1 2
10 3
1 2 1
3 2 1
2 0 4
0 0 4
2 4 5
1 3 3
1 4 1
3 1 4
3 2 5
1 5 2
10 3
4 2 0
4 3 1
1 5 4
5 2 0
0 3 2
5 1 4
4 3 0
4 0 1
3 3 5
4 2 5
10 5
1 3 3
2 4 1
4 1 1
0 4 2
1 3 4
0 4 3
0 2 2
3 0 0
2 1 0
0 0 0
10 3
0 2 0
1 0 2
3 3 0
1 3 1
2 3 3
0 2 3
1 2 1
3 2 2
3 0 2
1 3 2
10 6
4 4 2
4 1 4
0 2 2
3 2 4
3 1 0
3 3 3
0 4 4
0 2 4
3 2 0
0 4 0
10 2
0 4 1
2 4 1
2 3 1
4 2 3
0 0 4
3 3 1
1 0 1
3 0 3
1 4 3
2 2 4
10 4
0 4 3
5 1 5
1 5 5
2 3 1
4 0 2
5 5 0
1 2 5
5 2 1
5 1 4
1 4 5
10 5
5 3 2
0 3 3
2 4 0
3 3 5
2 0 2
2 5 0
2 3 4
5 5 1
2 2 4
4 2 0
10 2
2 0 3
2 2 0
1 0 3
1 1 3
1 3 3
0 2 2
0 1 3
2 2 2
2 1 3
3 2 1
10 9
0 2 1
0 1 2
2 0 1
2 2 2
0 0 1
1 1 1
0 1 1
2 0 0
0 0 0
1 0 0
10 5
2 1 2
1 1 1
2 1 0
1 0 0
1 2 1
2 2 1
1 1 2
2 1 1
0 1 2
1 0 1
10 5
0 3 0
1 2 1
3 2 2
1 1 0
1 0 0
0 0 3
0 1 3
0 2 2
3 2 0
2 2 1
10 9
0 2 1
0 4 0
0 1 2
2 4 2
4 3 2
1 2 4
3 0 3
0 1 1
2 4 1
3 4 0
10 7
1 1 2
0 0 0
2 2 0
2 2 2
0 1 2
2 1 0
2 0 0
0 1 1
2 1 1
1 0 0
10 9
3 2 3
0 0 3
3 4 1
4 2 0
3 3 3
2 2 1
3 0 1
2 1 0
1 3 4
0 1 2
10 8
1 2 0
0 0 0
1 2 2
0 2 2
0 1 2
1 1 0
1 0 2
1 1 2
0 0 1
0 1 1
10 4
2 2 4
0 0 4
0 4 4
1 2 3
3 2 4
3 4 1
4 2 3
0 4 0
2 4 1
4 2 1
10 3
1 1 3
2 2 0
3 3 1
3 1 0
1 3 1
2 2 3
2 0 2
3 0 3
0 0 1
0 1 0
10 4
1 2 0
1 2 1
1 1 1
2 1 0
2 1 1
2 2 2
0 2 0
2 1 2
0 1 2
0 0 0
10 2
2 0 1
2 1 1
2 0 0
1 2 0
1 2 1
1 0 2
2 1 2
0 0 1
2 2 2
0 1 0
10 7
1 0 0
1 2 2
2 2 2
1 1 1
1 0 2
0 2 2
2 0 2
2 0 0
2 2 1
2 1 0
10 4
1 2 1
1 2 2
2 4 0
4 2 2
0 4 0
3 4 0
3 0 3
0 4 3
2 0 4
1 2 0
10 2
2 0 1
5 5 4
4 1 1
3 2 5
4 0 0
0 1 3
5 3 5
0 0 1
0 0 2
3 1 2
10 9
2 5 5
2 1 3
5 3 3
2 3 0
1 2 3
0 0 0
4 3 4
0 1 4
3 2 2
4 0 0
10 4
1 0 2
0 2 0
1 2 1
0 2 1
0 1 1
2 2 1
1 2 2
2 0 1
1 2 0
0 1 0
10 9
4 5 0
3 2 3
3 4 4
3 0 2
5 3 1
4 4 2
0 3 1
0 0 1
2 1 1
4 2 5
10 7
0 0 3
1 3 2
3 0 1
1 0 0
1 1 2
0 3 1
1 2 2
1 3 3
0 0 0
2 3 2
10 7
0 0 0
2 2 2
1 2 0
2 2 1
0 1 0
0 2 0
1 0 0
2 0 2
2 1 0
0 1 1
10 4
4 0 4
5 0 0
0 3 2
1 4 2
4 0 5
3 4 2
1 1 3
2 1 4
1 2 4
0 5 5
10 7
2 0 1
2 0 2
0 2 1
1 0 0
1 2 2
0 0 1
0 1 1
2 2 2
1 2 1
1 2 0
10 4
3 0 2
3 1 0
1 1 2
2 2 1
0 3 3
0 1 1
2 1 0
1 0 2
1 2 2
2 0 2
10 5
1 1 2
1 3 2
1 1 1
1 0 3
2 1 1
2 1 0
0 1 3
0 1 1
3 1 1
0 0 3
10 4
2 5 2
1 1 4
3 5 3
5 2 5
2 0 3
0 3 1
1 0 4
1 5 3
5 0 5
4 2 2
10 8
0 3 0
1 0 1
0 1 0
0 0 4
4 1 2
0 1 3
2 3 0
2 2 2
2 4 0
1 4 4
10 8
2 1 2
0 1 0
1 0 2
0 2 0
1 1 2
1 1 0
2 1 1
2 0 0
1 0 0
1 0 1
10 8
0 1 0
2 2 1
0 0 2
1 2 1
2 1 1
1 0 1
2 2 2
1 1 0
1 0 0
2 0 2
10 5
1 3 3
3 4 2
4 0 3
0 4 0
3 3 3
2 4 4
2 4 1
0 0 4
2 1 0
2 3 1
10 7
2 1 0
2 1 3
0 2 0
3 1 0
0 0 2
0 0 1
3 2 2
1 1 0
1 1 1
2 0 1
10 9
0 0 0
2 1 1
1 0 1
1 2 1
2 1 0
0 1 2
0 0 2
2 0 1
0 2 2
2 2 1
10 8
2 4 3
0 0 3
4 3 4
0 4 3
2 4 2
2 0 3
2 1 2
1 4 0
3 1 0
3 3 3
10 6
1 2 1
2 0 2
0 0 0
1 1 2
0 0 1
2 2 2
0 2 2
2 0 0
0 2 1
0 1 2
10 4
0 2 2
1 2 2
0 0 2
1 2 1
1 0 1
1 0 0
0 0 0
2 1 0
2 0 0
2 2 0
10 4
2 0 3
0 0 2
2 0 1
2 2 3
2 1 2
0 1 2
2 1 1
3 0 1
3 2 2
2 3 1
10 3
4 2 3
1 5 5
4 2 4
4 4 2
3 4 5
3 0 1
3 5 2
1 3 2
1 2 1
3 5 0
10 5
0 2 4
4 3 2
3 2 2
4 2 0
1 0 1
0 3 0
1 1 3
0 0 3
3 0 0
3 1 0
10 3
2 0 0
2 2 1
2 0 2
0 2 0
2 2 0
0 2 2
1 1 0
0 1 0
2 1 0
1 2 1
10 2
2 2 2
2 0 1
1 2 1
0 0 1
2 1 2
1 1 2
0 2 0
2 0 2
0 0 2
1 0 1
10 7
4 4 4
4 5 0
4 3 0
5 2 4
1 4 3
0 5 2
2 1 1
1 0 0
0 0 1
1 1 4
10 4
0 3 4
0 4 2
1 4 0
2 1 2
1 4 1
4 3 3
2 3 3
5 5 4
0 0 0
2 0 1
10 9
0 1 3
4 0 4
4 2 1
4 1 4
1 4 1
1 4 2
4 0 2
2 3 0
4 4 3
3 4 2
10 4
3 3 1
1 1 3
2 4 3
2 1 0
3 2 1
3 3 0
1 0 4
3 4 1
4 4 4
1 4 3
10 2
1 2 2
1 0 2
0 0 0
0 0 1
2 0 2
1 2 1
1 1 2
2 0 1
1 0 1
1 2 0
10 2
2 2 2
3 3 1
2 0 2
2 3 3
3 1 2
0 0 1
2 2 3
1 1 0
3 2 3
0 1 1
10 8
2 4 5
4 0 2
4 1 4
4 4 3
3 5 1
1 0 0
2 5 4
5 3 0
3 1 3
4 5 4
10 4
1 0 2
0 0 2
3 0 0
1 3 3
1 0 3
3 1 3
2 3 2
3 0 3
0 1 0
2 0 1
10 8
0 0 1
0 2 0
0 1 1
2 2 0
2 1 0
1 1 1
1 0 2
0 2 2
1 1 0
2 0 2
10 5
3 1 2
1 3 0
2 0 0
3 3 0
0 1 0
0 3 1
2 1 2
2 3 3
1 3 1
0 0 3
10 2
1 2 2
2 2 1
0 2 0
1 2 1
2 2 2
0 1 0
1 1 0
1 1 1
1 0 1
2 1 2
10 6
4 5 5
1 3 5
2 1 1
5 1 1
1 4 3
2 0 0
2 5 2
3 4 5
4 1 5
0 5 4
10 2
1 1 1
2 3 1
3 2 1
3 3 2
1 2 0
1 1 2
0 2 3
3 1 1
0 2 0
1 2 1
10 9
2 2 0
0 1 0
0 0 0
0 0 1
1 1 1
0 2 2
2 1 1
1 2 1
0 2 1
2 1 2
10 3
3 3 0
2 2 2
3 3 2
4 1 2
1 4 2
3 3 3
0 4 3
0 2 0
3 2 2
1 0 0
10 6
0 2 4
3 2 2
2 1 0
1 0 3
0 0 1
1 1 2
3 2 3
1 1 1
1 4 0
1 0 1
10 2
2 2 2
1 2 2
2 2 0
2 0 1
0 1 2
1 2 1
0 2 1
2 1 0
0 0 2
0 1 1
10 7
0 3 1
1 4 2
1 1 2
2 3 0
0 0 2
2 4 2
3 2 1
1 0 1
1 4 1
0 3 2
10 8
3 2 1
3 0 2
4 1 2
2 4 0
4 3 4
1 4 1
3 2 0
2 3 3
5 1 0
1 0 4
10 8
2 1 2
1 3 0
5 3 0
3 5 2
3 1 0
5 2 0
3 4 3
2 2 1
3 2 4
1 5 3
10 7
0 2 1
1 2 0
2 0 0
2 2 0
2 2 2
0 2 2
0 1 2
2 1 0
0 0 2
1 0 0
10 4
1 0 0
1 2 1
2 2 2
2 1 2
0 2 2
2 1 1
1 1 0
0 1 1
1 0 2
0 1 0
10 9
3 4 1
2 1 3
1 0 0
3 3 2
0 2 0
4 0 3
1 0 2
3 0 2
2 1 4
3 2 4
10 7
1 5 3
5 5 3
3 1 0
0 0 2
1 2 4
4 0 2
0 3 4
5 1 4
5 1 1
3 4 1
10 7
0 1 3
2 0 3
5 3 0
3 1 3
4 5 0
2 0 4
4 1 3
0 0 0
5 1 3
3 2 5
10 7
1 0 0
2 0 2
0 2 2
0 2 0
0 1 0
1 1 2
0 0 2
2 1 1
2 2 0
0 1 2
10 7
0 1 4
0 2 3
3 4 2
0 2 4
0 1 0
1 1 3
3 0 2
2 0 1
3 3 3
4 1 4
10 9
0 0 1
2 0 1
0 2 2
2 2 2
2 0 0
2 2 0
0 1 2
1 2 1
1 1 2
2 1 1
10 4
1 3 2
3 3 2
0 1 0
0 3 3
3 3 0
2 3 0
3 1 0
2 2 2
1 1 2
2 0 1
10 2
0 2 2
0 2 0
2 2 0
1 1 2
0 2 1
2 2 1
2 2 2
0 0 0
2 1 0
0 1 0
10 9
1 0 1
0 0 0
0 2 0
2 2 2
0 1 1
0 0 2
0 2 1
1 1 2
1 1 1
1 2 2
10 2
1 2 1
3 1 0
1 1 3
1 1 0
3 2 0
2 2 2
0 0 3
3 3 3
0 1 2
3 2 1
10 8
1 2 1
1 1 1
0 2 3
0 1 2
0 0 3
2 3 2
2 3 0
1 3 1
3 1 1
2 2 0
10 2
1 0 1
1 1 1
1 4 0
1 0 4
1 4 1
3 2 3
4 1 2
1 4 3
3 2 0
4 3 4
10 4
3 2 3
1 3 3
0 0 0
3 1 0
1 1 3
2 0 2
0 0 3
0 3 0
1 2 1
2 1 3
10 6
2 0 2
3 0 0
0 3 1
1 2 3
0 1 1
2 3 1
0 1 0
2 1 1
2 2 3
3 0 2
10 8
0 2 1
5 1 5
1 1 1
3 5 5
5 4 5
1 4 0
4 4 1
4 0 0
5 2 4
0 3 3
10 6
3 2 3
3 3 0
2 1 2
2 2 0
3 0 2
3 0 3
3 2 2
0 2 2
1 1 1
0 0 1
10 9
2 1 3
3 0 2
2 3 2
1 3 3
1 1 1
2 1 2
1 1 2
0 2 3
0 1 0
0 2 2
10 5
0 4 4
1 0 2
3 0 1
2 3 2
4 1 3
3 4 0
2 2 0
0 4 1
1 3 4
0 2 2
10 4
3 3 2
2 1 2
1 2 3
1 2 4
0 2 2
0 3 3
0 3 1
2 2 1
0 0 4
2 1 4
10 5
0 2 1
0 2 0
2 0 2
2 2 0
2 1 0
0 2 2
1 2 0
1 0 0
1 2 2
0 1 1
10 4
4 2 0
1 3 1
3 2 0
2 2 2
2 4 0
3 3 1
2 0 2
3 0 4
1 0 2
4 0 0
10 9
4 3 2
2 0 1
4 1 4
1 4 2
0 0 3
0 2 3
1 1 1
4 3 4
0 3 4
0 3 1
10 2
1 3 0
0 2 2
0 3 2
1 0 1
1 0 2
2 1 1
3 3 0
2 3 2
0 0 1
1 2 3
10 6
0 0 1
2 0 1
2 1 1
1 2 2
2 0 2
0 1 2
0 2 2
0 0 0
1 1 1
2 0 0
10 6
0 0 1
3 0 2
3 0 0
2 1 2
0 0 3
0 1 3
1 2 1
2 1 0
3 1 0
3 1 2
10 4
2 0 1
2 0 3
2 0 2
0 2 1
1 3 2
2 3 3
3 1 1
3 1 2
3 3 2
0 2 0
10 7
4 1 1
1 0 3
2 0 3
1 4 0
2 1 4
5 4 1
2 0 2
3 4 2
2 3 4
2 2 4
10 9
2 0 1
2 1 2
1 1 0
0 0 0
0 2 1
2 0 0
1 0 2
1 1 1
2 1 0
1 0 0
10 7
1 2 3
1 1 3
3 3 3
3 1 3
1 3 3
2 0 1
3 1 1
1 0 3
1 3 0
0 3 3
10 3
0 0 0
0 1 0
0 1 1
0 0 2
2 0 2
2 0 1
2 1 1
1 0 0
0 1 2
1 2 0
10 3
3 1 0
4 0 4
4 4 2
0 1 1
4 3 2
1 1 4
0 4 0
0 3 3
1 0 4
1 1 2
10 6
3 3 4
4 5 5
2 3 3
5 5 2
3 2 3
3 4 4
0 5 5
3 5 3
5 2 5
4 0 1
10 9
1 3 0
1 5 3
0 5 1
1 4 5
3 0 2
2 2 5
1 0 4
2 5 4
3 1 1
3 4 3
10 8
4 4 2
4 4 4
4 0 4
1 3 2
1 1 1
1 4 0
4 3 4
1 3 0
2 0 1
1 4 2
10 6
0 1 1
1 2 0
2 1 2
0 2 0
0 1 0
1 1 1
1 0 0
2 1 1
1 0 1
1 0 2
10 5
0 2 1
3 2 0
2 4 4
1 3 0
0 4 1
0 3 4
1 0 1
0 0 4
0 4 0
2 2 1
10 4
2 1 0
1 2 2
2 0 2
0 1 0
0 0 2
0 1 1
2 2 0
0 2 2
1 1 2
0 1 2
10 3
0 0 0
2 0 3
3 2 1
1 0 3
1 2 0
3 3 3
0 0 2
0 0 3
1 1 1
2 1 3
10 6
2 1 2
1 2 0
1 1 1
0 1 1
2 0 2
0 0 1
0 0 2
1 0 2
1 0 0
2 0 0
10 5
0 1 2
0 1 0
0 0 0
1 0 1
0 0 2
0 0 1
1 0 0
2 2 1
0 2 2
2 0 1
10 7
1 3 5
0 1 3
1 1 5
2 1 1
1 2 4
4 4 1
4 2 1
5 0 2
2 0 5
2 2 2
10 5
5 3 2
0 0 0
0 1 3
5 4 2
2 0 5
3 3 0
2 0 4
4 0 2
0 5 0
1 0 3
10 7
3 2 5
5 3 5
1 1 4
0 3 3
4 3 2
5 0 5
4 3 0
1 2 4
4 0 1
3 4 2
10 6
2 3 0
2 4 2
2 1 4
2 3 1
2 1 0
4 2 2
3 1 1
4 1 2
2 3 2
1 4 1
10 5
3 5 3
4 0 4
1 3 3
3 5 1
2 4 2
0 4 5
5 1 4
5 2 5
5 0 3
1 0 1
10 5
0 1 1
0 3 2
2 4 2
4 1 3
1 3 1
4 1 0
1 1 3
3 4 1
1 2 0
2 1 1
10 9
0 1 2
3 1 3
0 3 3
1 5 1
4 5 0
4 4 2
3 5 1
2 3 0
2 0 4
0 5 3
10 4
1 1 0
2 0 3
2 2 1
2 0 1
0 3 0
3 3 3
0 3 2
0 3 3
2 0 0
3 1 0
10 2
1 0 2
0 2 0
0 0 2
1 1 1
0 0 0
0 1 2
1 1 2
1 2 1
2 1 2
2 2 0
10 9
3 2 0
1 3 4
3 1 4
4 0 4
3 2 2
4 0 1
1 4 4
1 0 3
1 2 0
1 1 0
10 6
2 1 2
2 1 1
1 3 2
3 3 2
0 3 3
0 3 2
3 0 2
0 2 1
3 3 0
3 0 1
10 5
2 0 1
1 2 0
1 1 2
0 1 2
0 2 1
1 0 0
2 2 2
2 0 2
2 0 0
0 2 2
10 9
1 2 1
2 3 1
0 3 3
5 2 3
0 4 4
1 0 4
2 5 4
0 2 0
3 4 5
4 4 4
10 7
0 2 2
2 0 1
1 1 0
0 1 2
1 0 1
2 0 2
1 1 1
1 2 2
0 1 1
1 1 2
10 5
1 1 3
0 1 0
2 1 2
3 3 0
1 3 3
0 2 0
0 2 3
3 3 3
2 0 3
2 3 2
10 2
2 2 1
2 4 3
0 2 2
4 3 1
4 2 3
0 3 0
0 0 1
4 3 4
4 0 3
1 3 0
10 9
0 0 2
2 1 2
0 0 1
2 1 0
1 0 1
1 1 2
1 2 0
2 1 1
1 2 2
2 0 2
10 6
1 1 2
3 0 3
2 2 3
0 0 2
0 2 1
2 1 1
1 3 3
0 3 1
1 3 2
3 1 2
10 9
4 4 4
2 0 2
4 5 0
4 4 5
0 2 4
4 5 2
1 5 1
4 0 1
1 0 0
4 5 1
10 4
0 1 1
2 1 1
0 2 2
2 1 0
0 1 2
2 0 2
1 1 0
2 2 1
2 2 0
0 0 1
10 6
2 0 2
2 2 0
1 1 2
2 0 0
0 2 2
0 1 2
1 2 2
2 0 1
1 1 0
2 2 2
10 8
2 1 1
0 0 1
2 0 2
2 0 1
2 3 1
2 2 1
0 0 3
2 2 3
1 1 1
2 2 0
10 7
1 1 3
0 2 4
1 3 0
0 5 4
3 2 1
3 5 1
5 5 5
4 2 3
3 5 2
1 0 3
10 3
4 4 0
4 2 0
4 1 2
4 1 0
1 4 3
3 1 1
0 0 4
4 0 0
0 2 2
2 4 4
10 4
2 2 2
2 0 0
0 1 0
1 0 0
1 0 1
1 2 1
0 1 2
2 2 1
0 0 0
1 2 2
10 5
4 0 0
0 4 2
5 0 5
3 1 3
2 1 4
4 1 2
2 2 3
5 3 3
2 2 0
2 2 5
10 5
2 3 1
4 4 4
1 3 4
2 3 2
1 0 3
3 0 4
0 1 4
5 5 5
2 2 0
4 0 0
10 6
1 3 3
4 4 3
0 3 3
2 3 2
4 3 2
0 1 3
2 1 3
4 4 4
3 1 2
0 2 1
10 2
0 2 2
0 0 1
2 2 1
0 0 0
2 1 1
0 2 0
0 1 1
0 2 1
2 0 2
1 1 2
10 6
0 2 3
0 3 1
1 3 2
2 2 2
0 3 3
1 0 2
2 0 3
0 0 3
0 2 0
3 3 2
10 4
2 0 0
0 2 0
1 2 0
0 2 2
0 0 0
1 1 1
1 0 0
1 0 1
2 1 1
2 2 2
10 4
0 3 3
3 0 1
2 0 0
0 2 4
2 2 2
3 2 0
3 0 3
0 1 3
2 3 1
4 3 1
10 7
3 3 4
0 4 0
4 3 4
0 4 4
2 3 0
2 3 3
0 2 1
0 0 2
2 4 2
2 2 2
10 7
2 1 0
2 2 2
0 2 0
1 1 1
1 0 1
0 1 0
1 0 2
0 2 2
1 2 2
0 0 1
10 7
4 0 2
0 3 1
3 3 5
3 2 5
5 2 3
2 5 0
2 1 5
1 4 1
3 2 3
4 1 1
10 7
0 1 0
2 0 2
0 1 2
0 0 2
0 1 1
1 2 1
2 2 0
0 2 2
1 1 2
1 0 2
10 2
0 1 1
0 2 2
0 3 3
2 0 4
1 0 3
3 4 0
3 1 0
4 3 3
0 0 1
1 1 1
10 7
2 2 3
0 3 2
3 0 3
3 2 1
3 4 4
3 0 0
3 4 2
0 2 0
0 1 2
1 4 0
10 4
0 0 3
1 2 0
1 2 2
0 1 1
0 1 2
2 4 2
3 4 4
2 3 3
4 0 2
1 1 4
10 5
0 0 1
1 2 0
1 1 2
0 2 0
0 2 1
1 2 2
2 2 0
1 2 1
1 0 2
2 0 0
10 3
0 2 0
0 2 3
3 2 3
2 1 1
3 2 1
2 0 0
0 1 0
2 0 2
1 1 2
3 0 3
10 3
0 4 4
4 1 4
4 2 2
1 0 2
0 4 1
1 0 3
0 4 3
4 4 1
2 0 1
1 3 4
10 9
2 0 2
3 1 0
4 4 1
3 2 1
0 2 4
0 1 4
3 4 4
0 4 3
3 0 3
3 2 2
10 6
1 0 1
0 1 2
2 1 2
0 1 0
0 2 0
1 2 1
2 2 1
2 2 0
0 0 2
1 1 2
10 8
1 2 0
3 2 2
1 4 1
4 2 1
5 1 1
5 2 4
5 2 0
5 0 1
4 5 5
3 0 2
10 9
3 1 3
3 5 5
2 1 0
4 5 1
3 3 5
4 0 3
1 0 1
5 1 5
5 0 3
4 0 5
10 7
3 3 4
3 5 2
3 0 4
5 4 0
3 4 1
1 4 4
3 0 5
0 4 0
4 3 2
4 0 0
10 4
1 1 4
0 2 4
1 2 4
2 0 4
3 3 2
0 3 0
4 1 4
1 2 1
0 1 4
1 4 1
10 4
1 1 3
3 0 2
5 1 4
1 3 2
4 3 5
0 1 5
5 4 4
2 2 4
2 1 3
1 0 5
10 9
2 2 1
2 3 3
2 0 0
0 0 1
1 3 0
2 3 2
3 0 2
1 0 1
0 2 0
2 1 0
10 6
2 2 4
4 2 1
1 5 0
4 3 0
0 1 0
2 3 0
2 5 2
3 1 2
0 5 4
3 0 1
10 7
1 3 1
3 0 1
0 0 2
1 2 1
0 1 0
3 3 1
1 3 0
0 3 1
0 2 3
3 3 2
10 9
3 2 4
1 4 3
1 0 2
5 0 1
0 0 3
2 4 0
4 1 2
3 3 3
4 2 1
0 1 0
10 8
2 3 1
2 2 0
1 2 1
3 3 1
1 3 3
1 1 1
3 2 3
2 1 0
0 1 0
2 2 3
10 4
5 0 0
1 1 5
0 1 1
2 2 0
2 1 0
2 3 3
1 0 2
0 4 1
1 3 4
5 1 1
10 5
3 2 0
2 1 2
1 3 3
2 1 3
0 3 3
0 0 2
1 3 1
1 2 0
0 1 3
3 1 1
10 9
4 3 3
2 5 4
0 1 5
3 1 0
3 0 3
0 4 1
3 3 5
5 2 3
3 5 1
1 2 5
10 6
0 4 1
4 2 0
0 2 4
2 1 0
3 1 3
4 4 2
1 0 0
3 1 0
2 4 4
1 3 2
10 8
0 3 4
1 1 3
4 2 4
2 4 0
2 4 4
0 0 1
2 0 1
1 2 0
2 2 4
4 4 0
10 5
1 3 0
4 2 1
4 1 0
0 1 3
2 1 2
0 0 2
0 4 4
0 2 1
3 2 2
3 0 1
10 3
3 4 1
1 2 0
4 4 4
1 3 0
3 0 4
4 1 0
4 4 0
3 1 3
0 4 0
3 3 4
10 7
4 4 3
4 4 4
1 1 3
1 0 1
2 4 2
3 0 3
3 0 1
0 1 1
1 2 0
1 0 3
10 4
1 5 0
3 0 3
5 2 1
0 4 4
4 4 5
2 3 2
5 3 0
3 2 4
0 1 5
3 4 5
10 8
4 2 2
3 1 4
2 1 0
2 3 4
2 1 3
4 1 0
3 1 3
2 4 3
0 2 1
4 2 4
10 3
0 4 2
0 1 5
4 1 1
4 2 5
5 3 3
1 1 0
1 3 2
1 5 4
2 2 3
5 2 1
10 3
2 2 0
0 2 3
2 2 4
3 4 1
3 4 4
3 2 2
4 4 0
4 2 0
1 4 1
1 3 4
10 7
1 2 0
0 1 0
2 0 2
3 0 1
3 0 3
1 1 3
1 3 2
0 0 2
2 0 1
2 2 1
10 6
3 3 3
3 2 3
4 1 2
2 3 4
2 1 2
3 1 4
1 1 1
4 4 4
2 2 0
4 2 0
10 2
0 2 1
0 1 1
0 0 1
0 1 0
1 2 2
2 2 2
1 1 2
2 2 1
1 0 0
2 1 2
10 8
2 1 0
0 1 1
1 1 2
1 1 0
0 3 0
3 0 3
1 2 1
3 3 0
2 2 0
0 2 3
10 2
0 4 0
4 2 1
0 1 0
0 3 3
0 2 0
0 1 2
3 2 2
0 1 1
4 4 2
3 2 4
10 4
1 3 3
2 2 0
2 1 1
1 1 3
1 1 1
0 0 2
2 2 1
1 2 3
1 1 2
3 3 1
10 6
0 0 0
0 1 0
0 1 1
1 0 0
1 1 0
2 1 1
1 1 1
0 0 2
1 2 0
1 2 2
10 7
1 2 2
0 2 1
0 2 0
2 2 2
0 1 1
0 0 2
1 0 2
1 1 0
1 0 1
1 2 1
10 8
1 2 1
1 3 2
1 0 2
2 2 1
3 2 2
3 0 0
1 2 2
0 0 2
3 2 0
0 2 1
10 6
3 5 0
5 1 4
4 2 3
1 2 3
4 4 1
0 1 3
3 5 2
1 0 4
1 0 0
5 4 3
10 4
1 2 1
0 1 0
1 1 1
0 2 0
2 0 1
1 2 0
2 1 1
0 2 2
0 0 0
0 2 1
10 3
2 0 1
0 3 3
2 0 3
3 1 3
0 0 3
2 1 0
3 2 3
0 1 3
2 1 2
3 3 1
10 2
0 0 3
1 1 0
0 1 3
0 1 1
0 1 0
2 3 1
0 2 0
3 3 1
2 3 2
2 0 3
10 5
1 1 2
3 3 0
0 2 2
2 2 3
1 2 2
3 0 0
0 3 2
3 1 0
3 1 3
1 1 0
10 9
0 0 2
0 2 0
2 2 1
0 0 0
2 1 2
2 1 1
2 0 1
1 2 0
1 2 2
2 1 0
10 7
0 2 3
4 3 3
3 2 1
1 4 2
3 3 0
3 3 1
3 0 4
0 0 0
4 1 4
1 4 3
10 7
1 2 2
2 0 2
1 1 0
0 2 1
1 0 2
2 2 2
0 1 1
1 1 1
2 1 1
2 0 0
10 6
3 2 0
1 0 0
2 3 0
0 2 1
2 2 2
2 3 3
3 2 3
0 3 2
0 3 3
1 0 3
10 4
4 4 2
2 5 0
0 0 2
1 0 0
4 2 2
1 2 0
3 2 1
4 4 0
5 2 5
4 2 5
10 4
0 4 1
5 1 1
3 0 1
4 2 4
2 2 3
3 0 3
1 2 0
3 3 2
3 3 5
5 3 4
10 7
1 1 4
4 4 3
3 4 0
3 0 0
2 1 4
0 2 4
2 0 2
3 5 5
4 0 2
1 0 2
10 9
3 1 4
2 0 4
2 4 4
1 2 4
0 3 2
3 0 3
0 0 3
2 1 3
3 1 3
4 4 2
10 4
4 2 3
1 3 1
2 1 0
2 2 1
0 3 1
1 4 1
4 1 2
1 3 4
1 2 2
0 0 3
10 5
2 0 1
0 0 1
1 1 0
1 2 2
1 2 0
2 0 0
0 0 2
1 2 1
0 2 2
2 1 2
10 9
1 1 0
2 2 3
1 3 3
0 2 2
3 0 3
2 0 1
1 1 3
0 1 3
1 2 2
2 1 1
10 7
1 1 0
2 1 1
1 2 0
0 1 0
0 2 0
0 2 2
2 0 2
1 0 1
0 1 2
1 0 0
10 8
0 1 1
1 2 3
2 1 3
3 1 2
3 0 0
2 1 2
0 2 3
1 2 1
1 1 2
3 2 3
10 5
4 4 0
0 4 0
2 4 1
3 4 1
0 0 4
3 0 1
4 4 4
1 2 3
3 2 3
4 0 1
10 4
1 1 2
2 2 0
2 1 1
0 1 2
0 2 0
1 1 1
2 2 1
0 1 0
0 1 1
1 0 2
10 6
1 0 0
2 0 0
1 2 0
2 0 1
1 1 1
1 2 2
0 2 0
2 2 1
2 2 2
2 2 0
10 3
2 2 2
4 3 1
2 5 4
1 2 1
3 1 0
2 4 4
3 0 0
1 3 4
3 3 3
3 2 3
10 6
1 1 0
3 0 0
1 2 3
2 1 3
3 2 2
0 1 1
0 3 0
0 3 1
2 3 3
3 2 3
10 9
0 3 2
0 1 1
1 2 0
1 2 1
2 3 3
1 3 2
2 2 0
0 0 2
0 0 1
2 1 1
10 4
2 2 1
2 2 0
2 0 1
0 1 0
2 2 2
1 1 2
0 2 1
1 1 1
2 1 1
0 0 2
10 9
0 2 4
2 2 4
2 3 4
2 1 3
4 3 4
3 4 0
4 4 4
0 2 0
0 4 4
4 0 3
10 8
0 0 2
2 0 2
0 1 0
2 1 2
2 2 0
0 0 0
2 0 0
1 1 0
0 1 1
2 1 0
10 8
2 4 5
3 5 3
3 1 0
2 0 3
1 2 3
5 1 3
4 0 4
1 5 1
3 4 3
0 5 0
10 9
0 0 0
0 2 1
0 0 1
1 2 1
2 2 2
1 0 2
2 1 2
2 1 1
0 1 1
0 2 0
10 9
3 1 1
2 0 3
1 1 2
2 2 0
3 3 0
2 3 0
1 1 3
0 3 2
0 2 1
1 2 3
10 6
1 0 0
0 1 2
2 1 0
2 0 0
2 0 1
0 2 2
2 1 1
0 1 1
1 2 2
0 0 2
10 8
0 1 2
0 0 2
1 0 1
1 2 2
1 0 0
0 1 1
2 1 1
2 2 2
1 2 0
0 2 0
10 4
1 2 0
2 0 1
2 1 1
1 0 2
1 0 0
1 1 0
0 2 2
2 2 1
0 0 2
0 2 0
10 7
0 0 0
1 2 3
2 2 0
0 3 3
3 0 0
2 0 3
2 3 0
1 1 1
3 3 2
0 3 1
10 5
4 1 3
0 0 1
3 3 1
4 2 4
5 4 1
3 4 1
0 4 4
5 5 2
0 2 0
2 1 1
10 8
1 1 0
2 0 1
2 1 1
2 1 2
1 0 1
2 1 0
0 2 2
0 1 2
2 0 0
0 1 1
10 3
3 0 0
2 3 0
0 2 0
1 2 2
3 3 2
3 3 3
0 0 0
3 2 0
1 0 0
2 2 2
10 2
2 1 3
4 1 0
2 4 2
0 4 4
0 2 0
0 1 0
1 1 4
4 3 4
2 0 3
3 3 3
10 8
0 0 0
0 4 3
1 5 0
1 2 3
5 5 1
1 2 2
5 4 5
2 1 2
5 0 2
5 0 3
10 4
1 0 3
2 1 3
2 2 1
0 2 3
1 3 2
3 0 1
2 1 2
2 3 1
0 0 2
0 2 1
10 7
4 0 4
4 1 2
0 3 0
1 0 3
1 3 2
0 1 4
1 1 1
2 2 2
3 3 3
1 3 1
10 8
1 2 0
2 1 1
1 0 3
3 3 3
2 0 3
1 2 2
2 2 3
0 2 0
1 0 0
2 2 2
10 9
1 2 0
2 2 2
0 2 1
0 0 1
1 1 1
2 1 2
0 1 1
2 0 2
1 0 1
1 0 2
10 3
3 3 0
1 3 3
2 3 1
0 2 0
3 3 3
3 1 0
1 0 3
2 2 2
1 3 1
2 2 3
10 4
0 0 1
2 0 1
0 0 0
2 0 2
2 2 0
2 2 2
0 2 1
1 2 2
2 2 1
1 0 1
10 2
4 1 2
5 2 5
2 0 0
0 2 4
1 1 1
1 1 0
3 4 4
0 2 5
4 0 5
3 1 0
10 3
0 1 3
3 2 1
3 0 0
3 1 0
0 2 0
1 1 1
0 3 0
3 3 2
3 1 2
3 2 2
10 6
2 0 1
3 3 3
0 0 3
2 1 3
1 0 0
3 0 1
3 3 1
3 0 0
2 0 0
1 0 1
10 2
1 3 1
0 2 1
0 0 0
1 2 0
0 2 0
0 1 0
3 0 0
0 2 2
1 2 2
2 3 1
10 4
0 3 0
4 3 2
3 2 2
3 1 2
4 2 0
1 1 1
2 3 1
0 4 1
4 0 4
2 3 3
10 4
4 4 3
2 3 3
4 0 2
2 0 2
0 4 0
1 2 2
4 5 0
3 3 2
4 2 2
4 0 5
10 7
0 0 2
3 4 0
3 1 4
3 1 2
3 1 1
3 1 0
1 2 3
4 0 4
3 0 1
4 1 1
10 2
3 1 2
1 2 3
0 0 3
2 2 3
0 2 2
0 1 0
0 3 3
3 2 0
2 2 2
2 2 1
10 8
2 0 0
0 1 1
0 3 1
1 1 1
2 0 3
2 0 2
2 3 3
0 1 0
2 3 0
3 2 0
10 5
3 0 0
2 4 4
2 0 3
4 1 4
2 1 3
4 0 4
4 2 0
4 3 3
3 4 4
4 0 0
10 3
1 1 4
4 2 3
0 3 1
3 1 3
4 3 4
1 4 1
0 2 2
0 3 3
2 0 1
3 1 0
10 8
3 4 4
3 0 4
0 2 1
2 2 4
1 0 1
2 3 2
1 0 4
1 0 0
0 3 2
3 0 1
10 6
1 0 1
1 0 2
0 1 0
0 1 2
2 0 2
2 2 1
0 0 2
2 2 2
1 0 0
2 1 1
10 2
1 2 0
0 1 2
2 0 0
0 2 0
0 0 1
0 1 1
0 2 1
1 0 1
0 2 2
2 1 1
10 3
3 5 4
2 5 3
4 0 0
5 5 3
0 5 5
5 2 4
1 5 3
3 2 4
3 0 1
5 3 3
10 7
0 3 2
3 3 0
1 1 2
1 3 1
1 1 1
0 3 0
3 1 3
0 3 3
2 2 0
1 3 3
10 3
2 1 3
0 2 0
2 3 3
2 2 1
5 0 5
4 5 5
3 2 1
2 0 5
0 2 4
1 3 0
10 5
2 2 1
1 2 0
0 2 1
1 1 1
0 2 0
1 0 1
2 1 1
1 0 2
1 2 1
2 2 0
10 9
0 2 0
3 1 1
3 4 4
4 0 3
1 0 0
4 4 4
4 2 4
0 1 2
4 3 3
0 2 1
10 6
0 2 1
1 1 1
2 2 2
0 1 0
2 0 0
2 1 2
0 2 0
0 1 1
1 2 1
1 0 2
10 5
3 0 1
4 5 4
0 1 4
0 0 2
3 3 4
4 0 4
4 3 4
2 5 0
1 2 3
1 5 3
10 2
0 1 1
3 4 3
4 1 2
2 0 4
0 1 2
3 1 0
4 1 4
1 2 4
1 4 0
2 1 1
10 8
1 0 0
2 2 2
0 0 0
0 1 0
1 2 2
2 0 1
1 1 1
1 2 1
2 1 2
2 2 0
10 2
1 3 2
3 3 2
3 0 1
1 4 1
2 3 1
2 2 2
3 4 3
2 0 0
0 2 0
0 3 1
10 2
4 0 4
3 2 0
3 1 0
0 1 3
4 4 0
4 2 3
1 2 1
0 3 5
1 0 1
5 4 0
10 8
2 0 2
2 1 2
2 0 1
1 2 1
0 2 0
1 1 0
1 0 1
1 1 1
2 1 0
0 1 2
10 9
2 0 2
4 3 1
3 1 0
4 2 0
0 4 1
1 0 2
4 2 1
1 1 1
2 4 3
2 0 4
10 5
2 3 0
2 3 4
3 3 0
0 4 1
3 2 3
0 2 4
4 2 3
1 3 1
2 0 0
4 4 1
10 4
1 3 3
3 0 1
0 3 3
2 1 3
3 0 0
0 3 0
1 3 2
2 0 3
3 0 3
2 0 2
10 8
4 4 2
5 3 3
4 3 2
3 5 1
5 1 4
4 1 0
5 4 2
3 0 5
3 4 5
3 2 3
10 6
4 3 3
0 0 4
2 4 0
1 1 1
1 0 2
1 2 2
0 1 0
3 4 3
2 0 4
3 3 0
10 4
2 1 3
4 1 3
2 1 0
4 2 3
1 4 4
0 1 4
2 0 1
0 3 4
4 3 4
4 0 0
10 4
0 1 2
2 1 1
0 1 1
1 2 2
0 2 2
0 0 2
2 1 0
1 2 0
1 1 1
2 2 1
10 2
0 3 3
1 3 2
0 0 3
3 3 2
0 3 2
0 1 1
3 2 1
3 3 0
3 1 0
2 3 1
10 5
3 2 1
4 0 2
2 0 4
4 3 2
2 2 2
2 3 2
2 2 1
0 1 2
1 1 2
3 3 1
10 9
3 4 1
2 5 2
2 3 2
5 2 2
0 3 5
0 2 3
4 1 2
1 1 5
5 5 2
2 1 2
10 6
1 1 3
3 4 0
3 2 3
1 3 1
4 0 4
1 1 2
0 4 1
2 1 4
2 4 0
3 0 0
10 8
0 1 3
1 2 4
2 3 2
1 2 1
1 1 0
2 2 3
2 0 4
4 3 2
4 0 3
1 0 3
10 4
0 3 3
5 4 4
1 2 2
2 2 3
4 1 5
1 5 3
1 0 4
3 4 0
3 1 1
5 0 5
10 9
2 1 0
3 3 0
3 0 2
3 2 1
0 0 3
0 3 2
3 1 1
0 2 3
1 1 0
0 0 1
10 4
2 1 4
1 1 0
4 1 0
3 0 0
3 2 1
1 3 0
2 1 2
4 2 3
1 3 3
2 1 0
10 5
0 4 3
4 4 2
0 4 4
0 2 3
0 4 1
3 1 4
0 0 1
4 1 4
0 0 0
4 3 3
10 2
3 1 3
2 1 3
1 4 0
3 4 4
3 0 2
4 3 3
4 2 2
3 3 4
1 3 4
3 0 4
10 5
2 1 2
0 2 1
1 0 1
2 2 2
0 0 2
1 2 0
0 1 2
0 1 0
0 2 0
2 1 0
10 7
2 0 0
0 1 2
2 0 2
2 1 2
0 1 1
0 2 2
0 2 1
1 0 2
2 1 0
1 0 1
10 9
0 3 2
2 2 3
2 0 1
0 1 2
3 3 1
2 0 3
1 3 1
1 3 0
1 1 3
3 2 1
10 8
1 2 0
1 2 2
2 2 1
2 0 2
0 1 0
2 2 2
0 0 1
1 0 2
2 0 1
0 0 2
10 2
0 1 0
2 1 0
1 0 2
0 2 2
0 0 0
0 0 1
0 2 1
1 2 1
1 1 2
2 0 1
10 6
2 1 0
2 2 1
4 2 4
1 1 1
4 4 1
2 2 3
2 1 3
0 2 3
4 2 3
3 3 3
10 7
3 3 1
1 3 1
0 0 0
2 1 0
2 2 1
3 0 2
3 0 3
0 1 3
1 1 2
3 3 2
10 4
0 1 2
2 0 2
2 0 1
2 1 1
2 1 2
0 2 1
1 2 2
1 1 0
0 0 0
0 2 0
10 8
0 0 2
0 1 2
2 2 0
0 2 0
2 1 2
1 2 2
0 2 1
2 2 1
2 0 1
2 1 0
10 6
0 2 0
3 0 4
3 2 2
4 5 0
0 1 0
1 3 5
5 4 0
5 3 3
4 1 0
4 0 5
10 7
1 1 0
2 0 0
2 0 4
2 3 5
5 3 3
4 3 2
0 1 2
5 0 1
4 3 1
3 0 2
10 3
2 2 2
2 0 0
1 2 2
0 2 0
2 1 0
0 0 1
2 1 1
2 0 1
1 1 1
1 0 1
10 2
2 1 1
3 1 3
3 2 2
3 2 3
3 0 0
2 2 1
0 0 0
3 3 1
0 1 3
0 3 3
10 9
2 2 3
1 1 3
2 0 2
0 1 0
3 1 0
3 0 2
0 0 0
2 1 1
1 3 1
3 0 0
10 9
0 2 2
0 1 0
3 0 2
1 1 2
3 2 3
1 1 0
0 2 1
3 3 2
0 3 3
1 3 1
10 7
5 4 2
3 5 5
1 3 5
3 5 2
2 2 0
3 0 2
5 5 3
5 3 4
4 5 1
5 2 0
10 8
2 3 4
3 0 2
1 2 0
1 1 4
4 3 0
1 1 1
0 3 3
3 3 3
3 1 1
3 0 1
10 9
2 3 0
3 1 1
4 0 1
1 1 4
2 1 4
3 0 0
4 4 4
0 3 4
1 2 2
3 3 0
10 5
4 5 2
2 3 1
0 4 3
3 3 0
4 1 4
1 3 2
3 2 0
3 1 2
3 1 5
0 5 5
10 5
1 2 0
0 1 3
3 1 3
1 0 1
3 0 0
0 2 0
1 2 3
0 2 3
1 0 0
3 1 0
10 9
2 3 0
3 1 1
1 1 2
2 0 2
1 2 0
2 0 1
2 1 1
1 1 0
2 1 0
3 3 3
10 5
1 0 0
0 2 1
2 0 3
0 0 0
0 3 3
1 2 2
1 3 2
3 2 3
2 1 2
3 3 3
10 8
1 2 2
0 1 0
1 0 1
0 0 2
0 0 1
2 2 0
1 0 0
1 2 1
1 1 1
2 2 2
10 2
0 2 0
1 1 1
0 1 1
0 1 2
2 2 2
1 0 0
2 0 0
0 0 2
2 1 2
2 2 0
10 5
0 1 2
1 1 0
2 0 2
0 1 1
0 0 2
2 0 1
1 0 2
1 2 1
0 0 0
0 0 1
10 9
0 1 3
1 3 3
3 0 1
2 1 1
2 1 3
1 0 1
1 3 0
3 1 1
0 3 2
3 0 0
10 3
3 1 1
2 2 1
4 0 3
2 3 3
4 3 2
4 3 0
1 1 2
2 2 2
3 2 2
3 3 0
10 6
0 2 1
0 2 0
1 2 1
1 2 2
1 0 0
2 0 2
2 1 0
1 1 1
1 0 1
1 1 2
10 6
1 4 4
0 4 1
3 3 1
3 2 1
0 3 4
0 2 3
4 2 1
3 1 2
3 3 2
1 1 0
10 2
1 1 0
2 3 0
3 0 0
1 3 0
0 2 1
2 2 3
0 1 0
0 0 0
2 3 2
0 1 1
10 8
4 4 2
0 3 1
4 3 1
3 3 2
1 4 0
0 2 2
0 3 4
1 1 0
3 4 2
3 1 2
10 8
2 0 1
0 1 0
2 1 0
1 2 1
2 2 1
0 2 1
0 1 2
1 2 0
0 0 0
2 1 2
10 5
2 5 1
4 0 5
4 4 1
5 5 5
0 1 5
0 1 4
4 5 2
5 0 1
5 1 3
5 0 4
10 8
2 0 1
0 1 0
2 1 0
0 2 0
2 2 0
2 2 2
0 0 0
0 2 2
1 0 0
1 1 2
10 9
4 4 0
1 0 1
1 0 4
4 1 4
2 1 0
1 0 0
3 1 1
3 1 0
2 2 1
0 0 0
10 2
0 2 2
1 1 2
3 3 3
1 1 1
0 0 3
0 1 2
3 3 2
1 2 1
0 0 1
0 1 0
10 3
3 5 4
1 2 1
2 4 2
5 3 5
5 2 1
0 2 0
0 0 2
0 4 4
1 4 4
3 4 5
10 5
3 1 2
1 0 5
1 2 1
5 1 3
5 5 3
0 4 1
3 4 2
4 5 3
0 1 2
5 1 4
10 7
2 1 0
0 0 1
2 2 2
2 2 1
0 1 2
1 0 0
2 1 1
1 2 1
2 0 0
2 0 2
10 5
5 2 1
1 1 3
0 1 3
3 5 4
1 2 2
0 2 2
4 0 4
5 2 4
4 0 0
1 5 3
10 4
3 2 0
0 0 0
1 3 0
0 0 1
0 3 3
3 3 3
3 1 3
3 0 1
2 0 0
1 2 2
10 5
2 1 2
2 1 5
3 5 4
2 4 4
4 1 5
4 4 2
4 0 2
1 5 0
0 2 0
1 1 3
10 9
1 2 2
2 2 1
2 2 0
1 0 2
0 2 2
0 0 1
0 1 2
0 2 1
2 2 2
2 0 2
10 3
1 3 0
2 3 5
2 5 2
3 5 3
3 5 5
0 0 2
4 4 1
3 1 4
4 2 5
5 2 4
10 7
4 2 2
2 0 0
2 1 1
0 4 3
1 4 1
0 2 0
4 0 2
1 4 2
4 1 3
2 4 1
10 5
0 0 3
1 2 2
2 2 2
2 1 1
1 2 0
2 1 2
0 0 1
2 0 1
2 0 0
1 2 3
10 7
2 2 1
4 4 4
2 2 2
1 4 2
2 0 3
3 2 2
4 0 0
1 0 2
1 1 1
0 4 0
10 6
1 3 4
3 1 1
0 2 4
4 1 0
4 0 1
3 2 2
0 1 0
4 4 1
0 1 1
2 0 2
10 6
2 2 2
1 2 1
0 1 2
2 2 0
2 0 0
0 0 0
0 2 0
1 0 0
0 0 1
2 0 2
10 8
3 2 3
1 0 4
4 3 4
2 1 0
4 0 4
2 4 2
4 1 4
3 1 3
3 3 2
0 0 0
10 2
3 3 1
3 1 1
0 3 2
3 2 0
2 3 0
1 2 3
1 0 0
1 1 3
0 0 3
2 2 0
10 9
2 1 1
4 5 5
0 0 3
2 2 3
5 0 3
2 4 5
0 1 0
1 4 4
3 4 5
5 4 1
10 9
2 2 0
0 2 1
1 0 0
0 1 2
0 0 2
2 2 2
0 0 0
1 2 2
2 0 2
2 0 0
10 8
2 5 2
3 0 5
3 4 0
5 4 3
4 3 1
1 5 3
0 3 0
4 5 4
1 3 3
2 0 4
10 2
1 0 2
1 2 0
1 2 2
1 0 1
1 2 1
0 2 1
1 1 0
0 2 0
2 0 1
0 1 2
10 7
4 4 0
1 5 5
2 0 0
3 1 2
1 4 5
3 0 5
2 1 5
2 5 3
2 4 0
5 4 4
10 8
1 4 1
2 1 3
1 1 1
2 4 5
2 3 2
0 5 1
2 3 4
5 4 5
2 2 0
1 5 5
10 2
2 1 3
0 1 1
0 2 1
0 2 0
3 0 1
1 3 3
3 2 2
3 2 0
0 1 2
3 1 1
10 5
3 0 0
0 0 1
1 3 2
0 1 1
2 2 3
0 0 0
1 0 3
1 0 0
2 3 3
0 2 3
10 6
4 4 1
1 0 3
3 3 1
0 4 4
2 3 1
3 0 3
0 3 2
2 4 2
2 1 4
3 2 0
10 9
0 1 1
0 2 2
1 1 1
0 2 0
1 0 0
2 1 1
2 0 2
0 1 0
0 0 2
1 0 1
10 9
2 1 0
0 1 2
0 0 0
2 1 1
2 1 2
2 2 1
0 1 1
1 1 2
1 2 0
1 0 0
10 6
2 2 0
1 5 0
0 3 0
1 3 1
1 2 0
2 2 1
1 0 3
1 4 1
2 4 5
3 3 5
10 8
1 4 3
0 3 4
1 3 4
4 2 0
2 1 4
2 3 1
3 4 4
4 4 3
2 2 1
0 3 2
10 7
3 4 5
0 0 0
4 4 2
5 3 0
4 2 2
0 3 1
5 2 1
3 4 3
5 2 0
3 0 5
10 5
0 2 2
2 3 2
2 2 2
0 1 3
3 2 0
3 2 2
1 1 1
3 1 0
0 2 3
0 1 2
10 4
0 5 1
2 5 2
1 1 3
0 1 2
5 3 2
1 2 1
1 0 0
1 5 1
3 0 0
2 4 3
10 9
2 0 0
2 1 2
2 1 1
1 2 2
0 1 1
0 2 0
2 2 0
2 2 1
1 0 1
0 1 2
10 5
1 2 0
0 1 0
2 3 2
0 1 3
2 1 3
0 3 0
1 0 2
3 0 0
1 1 1
2 3 3
10 4
0 0 3
0 1 0
0 2 1
2 3 2
1 1 0
0 1 2
1 3 0
1 2 1
2 1 0
3 0 0
10 9
2 0 2
3 3 2
3 2 1
1 1 2
1 0 3
0 2 1
0 0 0
3 3 0
1 0 0
0 3 1
10 4
4 1 4
3 5 1
2 1 4
5 3 5
5 1 4
5 0 2
2 5 4
0 0 5
3 1 0
0 2 5
10 9
3 0 1
3 5 0
4 5 4
4 1 3
1 0 1
5 5 0
4 2 4
2 1 1
3 1 4
2 3 5
10 2
3 0 2
0 2 0
4 1 3
2 2 2
4 3 2
3 4 0
2 0 0
2 3 4
3 4 3
0 0 1
10 9
3 0 3
0 3 0
3 3 1
3 1 3
3 0 2
2 1 1
3 3 0
2 1 2
3 2 0
1 1 3
10 3
3 2 3
1 0 3
3 2 0
0 1 1
3 1 0
0 1 2
1 1 2
0 0 3
2 0 2
3 1 1
10 8
4 0 2
4 0 1
3 2 1
1 4 1
3 1 1
4 4 3
1 1 0
2 3 2
1 1 1
1 0 3
10 5
0 0 4
3 4 0
0 1 2
1 0 2
4 3 0
0 2 4
3 2 3
1 4 4
0 3 1
2 1 0
10 7
2 2 1
2 1 0
2 2 2
1 1 1
0 0 2
1 2 1
1 2 0
2 2 0
1 0 1
2 0 0
10 9
2 2 3
1 1 1
3 4 1
1 1 3
2 4 3
4 3 4
1 2 2
2 1 2
4 0 4
2 0 1
10 8
0 1 2
0 0 1
1 0 0
2 0 0
2 1 2
0 0 2
2 0 2
1 0 2
2 0 1
1 1 1
10 2
1 2 0
0 1 3
2 0 4
2 2 0
4 2 4
0 4 1
4 1 0
1 2 1
3 4 0
2 2 1
10 4
3 3 0
0 3 0
1 2 1
2 2 0
1 3 1
1 2 0
3 2 1
1 1 2
1 0 2
2 0 0
10 8
1 1 1
1 1 3
0 2 1
1 4 3
1 0 4
4 0 3
0 2 0
4 1 0
4 0 4
4 0 0
10 6
3 4 0
2 4 2
2 1 5
0 2 1
0 1 5
1 0 4
5 0 0
5 4 3
2 3 4
0 4 2
10 7
3 3 3
1 0 1
0 4 1
3 0 3
1 3 1
1 3 0
2 4 2
0 1 2
3 3 1
0 0 4
10 5
2 0 3
1 2 1
3 0 4
2 1 3
3 3 2
2 2 2
3 2 1
4 1 2
3 3 1
2 3 4
10 2
4 3 2
1 2 1
2 4 3
2 2 4
3 4 3
1 4 0
4 4 1
0 4 4
2 3 4
1 3 1
10 8
3 0 1
4 2 3
4 3 2
3 3 4
4 0 5
4 2 2
3 2 2
1 2 1
1 5 0
3 5 5
10 7
3 3 3
3 2 0
3 1 0
0 0 2
0 0 1
1 3 1
3 3 2
2 0 1
2 2 1
2 1 0
10 8
0 1 5
0 4 5
5 2 4
1 5 3
4 5 1
4 5 3
0 3 1
2 2 0
3 1 2
0 0 4
10 3
3 3 4
4 2 0
0 4 3
3 1 0
0 0 3
0 1 3
3 3 1
4 2 1
2 0 2
0 3 4
10 5
0 1 3
4 0 4
2 2 1
1 5 1
2 4 1
0 0 2
3 1 4
5 1 3
4 0 2
5 0 4
10 7
0 2 0
2 2 4
1 3 2
3 2 3
3 4 2
3 2 0
1 0 4
3 3 2
0 0 2
2 2 2
10 9
1 5 1
1 0 1
4 1 2
4 4 4
5 4 3
4 5 5
3 1 5
2 3 5
3 4 4
0 0 0
10 4
2 1 2
3 2 2
3 0 3
0 3 3
0 1 5
0 2 2
1 1 4
5 2 4
3 1 1
2 1 3
10 5
1 5 0
5 1 3
2 1 2
1 5 3
3 0 4
4 2 5
3 2 3
0 4 5
0 3 4
3 4 0
10 6
0 0 0
2 0 2
2 0 0
1 1 1
1 0 0
0 1 1
2 0 1
2 2 0
2 1 0
0 1 2
10 5
5 4 1
4 3 2
0 0 1
3 4 2
3 2 4
0 0 0
2 5 4
0 3 0
2 3 2
0 1 0
10 3
0 2 1
2 0 0
1 1 0
2 1 1
1 0 0
2 2 0
1 0 1
2 2 1
1 0 2
1 2 2
10 8
2 4 3
5 4 3
5 5 2
5 0 4
3 3 3
2 2 3
1 1 0
3 2 0
4 1 2
4 1 3
10 9
0 2 1
1 4 0
1 2 2
2 4 0
2 0 1
4 4 2
2 0 3
3 2 2
3 1 1
1 1 3
10 2
0 0 2
3 0 0
2 0 0
3 3 1
4 3 4
4 1 2
1 3 0
2 2 4
0 1 4
1 0 2
10 2
1 2 1
3 2 1
2 1 3
2 0 3
1 3 1
3 2 3
1 0 0
1 2 2
0 3 3
1 3 2
10 6
1 1 2
0 2 0
0 0 0
0 2 2
2 1 2
1 2 0
0 1 2
2 1 0
0 0 1
1 0 2
10 6
4 5 4
5 3 0
5 2 4
2 4 0
1 0 2
2 0 0
5 4 5
4 1 0
4 1 2
1 0 0
10 2
0 2 2
2 0 1
3 0 1
2 1 3
0 2 1
1 0 3
0 2 3
0 2 0
2 2 3
1 2 1
10 5
3 1 1
0 1 2
2 1 2
0 3 0
2 0 0
1 3 1
1 1 1
2 0 2
3 3 0
1 0 0
10 9
2 2 5
3 4 0
4 3 2
0 2 5
1 3 3
4 1 1
5 1 4
2 2 0
5 3 1
1 2 3
10 7
0 2 1
0 3 1
3 2 2
2 1 1
0 3 2
1 1 2
2 0 1
3 0 2
0 1 0
3 2 1
10 4
4 0 2
2 4 2
4 1 1
1 1 4
4 1 2
4 3 1
3 4 3
3 1 3
1 4 2
3 0 4
10 4
2 1 1
1 0 2
0 1 0
2 2 3
3 0 3
2 1 0
3 1 1
3 0 0
2 0 0
2 3 3
10 2
3 1 2
1 1 2
2 1 3
1 2 2
1 0 0
0 3 3
0 2 2
2 1 0
1 0 3
3 2 1
10 5
2 5 2
1 0 0
2 4 2
1 1 4
4 2 0
5 0 0
2 4 0
2 3 1
4 3 0
2 0 4
10 7
0 4 4
1 2 0
1 0 4
1 3 2
4 4 0
4 1 2
3 4 3
3 0 3
2 3 4
1 2 4
10 2
4 0 0
1 1 2
1 5 5
2 0 0
3 1 3
1 0 5
5 1 4
0 4 0
5 0 2
3 2 2
10 3
2 0 0
0 0 2
1 0 0
1 0 2
2 0 1
2 1 1
2 0 2
0 1 1
0 0 0
0 2 0
10 4
1 0 2
1 3 0
3 2 1
3 3 3
0 2 0
2 2 1
2 2 0
2 1 0
2 3 3
3 1 0
10 8
2 3 3
4 0 1
2 2 4
4 0 4
2 2 3
2 0 1
4 3 0
1 2 0
1 4 1
4 0 2
10 9
1 2 3
3 1 1
1 3 1
1 2 2
2 2 0
3 0 2
1 1 0
0 2 0
0 1 3
0 0 2
10 2
4 1 2
0 2 0
1 5 4
2 3 0
1 5 2
3 0 1
4 2 2
4 0 5
0 0 3
3 3 5
10 6
1 3 4
2 1 4
2 3 0
4 2 1
2 1 3
4 3 3
2 4 2
4 2 0
1 1 2
3 1 4
10 6
1 3 2
1 3 0
0 0 1
3 0 0
3 0 4
2 3 3
4 2 0
0 1 0
1 3 4
0 4 1
10 7
4 4 0
0 0 0
2 4 4
0 0 1
4 2 4
1 1 4
0 2 2
4 2 0
1 4 2
3 2 0
10 5
5 5 5
3 2 0
1 0 4
0 5 4
3 2 5
2 0 3
3 0 1
0 2 5
5 4 3
1 3 1
10 2
0 2 2
0 2 0
1 1 0
0 0 1
2 2 1
2 1 0
0 0 0
1 2 0
2 0 1
0 1 1
10 2
4 1 1
5 5 3
4 4 4
2 5 4
2 3 0
1 0 1
4 5 0
0 1 3
2 5 1
1 2 0
10 9
0 1 1
1 2 2
0 1 2
1 0 2
0 0 1
1 0 1
2 0 0
1 0 0
0 2 0
0 0 0
10 2
2 5 1
1 0 3
5 3 1
4 3 4
3 2 0
3 1 1
2 1 3
1 4 3
3 4 2
5 0 2
10 8
1 1 1
3 1 0
3 2 1
3 1 1
4 2 2
2 1 4
4 4 3
1 4 3
0 0 4
0 0 1
10 9
3 4 3
3 0 4
1 4 1
3 2 4
4 2 3
0 1 3
0 3 2
0 0 2
1 1 4
2 0 0
10 7
0 0 1
2 1 0
2 2 2
0 0 2
2 0 2
1 1 2
2 1 2
2 2 0
1 2 1
1 2 0
10 5
0 0 0
0 0 2
2 0 0
2 0 1
1 0 1
1 1 1
2 2 1
2 2 2
0 0 1
0 2 1
10 4
1 1 1
0 2 2
1 3 1
3 2 0
3 3 3
1 2 2
0 1 1
0 3 3
2 2 3
0 3 0
10 9
0 0 0
1 2 1
1 0 1
2 0 0
0 1 0
0 0 1
2 1 0
2 2 0
0 1 2
2 2 1
10 4
1 0 1
0 2 1
1 1 2
0 2 0
0 1 1
2 1 2
1 2 2
2 1 1
2 2 2
0 1 2
10 6
2 2 3
0 1 0
3 2 2
4 4 1
3 2 3
1 1 4
0 3 1
4 2 4
0 1 4
3 4 1
10 3
2 2 2
2 1 0
0 1 1
0 2 1
1 2 1
0 0 1
1 0 1
2 1 2
2 0 0
1 0 0
10 6
4 0 0
3 4 2
2 1 5
4 3 2
0 2 5
5 4 1
3 2 3
5 4 3
3 5 0
4 2 4
10 8
1 2 0
0 1 0
0 1 1
1 1 1
1 2 2
2 1 1
0 0 0
1 2 1
1 1 0
2 1 0
10 7
0 2 5
2 3 4
0 4 3
3 2 1
0 5 5
1 3 2
5 5 5
2 1 2
5 4 0
4 2 3
10 8
3 2 0
1 1 2
3 1 1
2 2 1
1 3 1
1 1 1
3 2 3
3 0 3
0 0 0
1 1 0
10 8
1 0 1
0 3 3
0 2 1
1 2 2
3 3 0
2 0 1
3 3 1
2 1 3
1 1 2
3 0 0
10 7
1 3 3
2 2 3
0 0 0
2 2 1
1 1 1
2 1 0
3 3 0
3 2 3
1 0 3
2 3 2
10 7
4 0 0
2 3 0
4 4 3
2 5 5
4 3 0
4 4 2
2 4 3
5 2 2
2 3 5
5 0 2
10 8
2 2 2
1 2 2
0 2 2
2 1 1
0 2 0
1 0 0
0 0 2
1 2 0
0 2 1
2 0 0
10 4
0 3 1
3 4 3
5 2 3
4 0 2
2 1 5
4 1 2
3 5 3
4 1 5
5 1 2
2 4 0
10 7
2 2 1
1 0 1
0 0 0
1 2 2
0 2 1
1 2 0
2 2 2
2 1 0
1 1 2
1 0 0
10 7
0 3 2
1 4 2
4 3 1
2 1 2
3 0 2
1 0 3
2 1 4
0 1 3
1 3 0
0 2 1
10 4
3 2 2
2 3 4
1 1 2
3 4 4
4 1 3
4 3 1
1 2 1
0 0 2
2 1 1
2 2 4
10 6
0 1 5
4 2 5
5 3 5
1 2 5
1 1 1
0 2 1
3 3 2
2 3 3
3 1 5
4 4 0
10 2
0 0 3
3 1 2
0 0 0
0 1 0
2 1 1
2 2 3
2 3 1
3 1 0
1 2 0
3 2 0
10 5
1 1 1
0 3 2
0 1 4
2 2 2
2 2 0
2 4 4
3 4 3
2 1 3
2 1 0
1 1 0
10 9
2 1 1
1 0 0
0 0 1
2 2 0
0 2 1
1 2 2
0 2 2
2 0 1
1 2 0
0 1 2
10 3
2 4 5
5 2 4
1 0 2
4 2 2
3 0 4
3 5 5
3 1 1
4 1 3
5 2 5
3 4 0
10 9
2 2 2
1 2 2
0 0 1
1 1 0
2 1 1
1 0 0
0 0 0
2 2 0
2 1 2
0 1 2
10 7
3 2 3
5 4 5
1 1 0
4 0 3
4 4 0
0 4 0
1 4 2
0 5 0
1 1 3
3 5 2
10 3
2 0 0
0 0 1
1 1 1
2 2 0
1 0 2
1 2 0
2 1 0
2 0 1
0 1 0
0 2 2
10 4
1 2 2
1 1 0
1 2 1
2 0 0
1 1 2
2 0 2
0 2 2
0 0 2
1 0 1
2 0 1
10 2
2 2 2
0 1 1
2 0 0
1 1 0
1 0 2
2 2 1
1 1 2
1 1 1
1 0 1
1 2 1
10 3
2 2 2
0 1 2
2 0 1
1 2 2
1 2 0
1 1 0
1 0 2
2 2 1
0 2 0
2 1 2
10 4
0 3 4
4 1 0
4 0 2
3 4 4
3 0 3
3 3 1
1 4 2
0 4 0
0 0 3
0 2 4
10 7
2 2 4
3 5 0
4 0 0
4 0 5
4 2 4
4 1 4
4 3 1
0 4 0
0 2 0
1 3 2
10 8
0 1 4
1 3 0
2 1 0
2 2 2
0 3 3
0 4 4
3 1 2
3 3 0
4 4 0
4 3 2
10 9
2 5 4
2 1 4
0 4 0
3 1 4
2 2 3
0 5 2
1 1 3
0 5 0
5 0 2
3 4 2
10 7
3 0 3
1 3 3
0 0 1
3 3 1
0 2 3
2 3 3
3 1 1
0 0 3
2 0 0
0 3 1
10 2
0 1 0
3 1 1
1 0 0
0 2 1
2 3 1
1 3 2
2 2 0
2 2 1
1 1 0
0 0 0
10 2
1 2 4
3 1 2
0 2 0
0 1 1
3 3 3
4 2 2
4 2 4
0 2 1
3 1 3
1 1 1
10 4
2 2 1
2 0 0
1 1 2
2 1 0
0 0 0
2 0 1
0 1 0
2 2 0
1 2 1
1 2 2
10 9
1 3 0
3 1 2
0 3 2
3 3 1
2 3 1
0 3 0
2 2 3
1 2 2
1 1 1
3 0 3
10 4
0 0 0
0 2 2
2 0 0
1 2 1
2 2 1
2 2 0
2 1 1
0 0 2
1 1 2
0 0 1
10 3
2 2 3
3 0 3
0 3 2
2 1 0
1 3 3
3 3 0
2 2 2
3 0 0
0 0 3
2 3 1
10 6
1 1 2
0 2 2
2 2 0
1 0 1
0 0 1
2 2 2
0 1 1
2 1 1
1 0 0
1 2 0
10 5
1 1 3
2 2 2
0 0 3
0 0 2
1 0 3
1 3 0
1 2 2
0 1 3
3 2 0
3 3 1
10 9
3 0 2
0 1 0
0 0 2
0 2 0
3 1 2
1 3 2
0 2 3
1 2 0
1 0 1
1 1 3
10 3
1 0 4
3 4 2
3 3 0
2 0 3
2 4 4
3 0 4
3 2 3
0 2 2
3 4 1
1 2 4
10 8
4 4 5
2 1 0
4 5 4
1 0 5
4 3 0
5 4 2
4 3 1
4 5 0
0 3 0
0 4 2
10 6
0 1 3
1 0 3
4 3 5
0 4 5
5 0 3
1 5 1
1 0 1
5 2 5
1 5 3
0 2 5
10 6
0 0 3
0 0 4
0 3 2
2 2 3
3 4 3
1 4 4
0 2 1
2 0 1
1 0 2
2 2 1
10 3
0 1 2
0 0 2
2 2 2
1 2 0
0 2 0
1 1 2
2 1 1
1 1 0
0 0 1
1 2 2
10 6
0 0 3
2 3 1
0 2 3
2 0 1
3 2 3
0 0 2
2 0 0
3 0 1
0 2 0
2 2 3
10 2
5 4 3
0 0 1
0 3 3
5 5 4
0 4 3
5 2 1
4 1 3
2 4 2
0 5 5
4 3 0
10 3
3 0 3
0 1 1
1 2 1
2 3 2
0 3 1
2 2 2
0 0 1
1 2 3
3 2 3
2 3 3
10 3
0 2 0
1 2 1
0 0 2
2 0 1
0 1 0
2 0 0
1 1 0
0 0 0
2 2 0
0 1 2
10 6
1 0 2
1 2 0
2 2 0
1 1 2
2 0 2
0 2 1
1 0 1
1 2 1
0 1 1
2 1 0
10 3
2 3 0
2 3 1
3 3 2
1 0 2
2 3 3
2 0 3
3 1 3
3 0 3
3 2 3
3 1 2
10 7
2 0 1
0 1 2
2 0 2
0 0 2
1 1 2
0 2 1
2 1 1
0 2 2
1 1 0
1 1 1
10 7
0 1 0
0 3 0
3 0 0
3 2 0
1 0 3
0 2 2
1 1 0
0 3 2
2 3 0
3 1 2
10 4
1 1 1
4 3 0
3 5 2
1 0 3
4 4 5
3 3 1
5 4 0
2 2 1
1 1 2
5 4 1
10 6
3 3 4
0 3 3
2 3 3
4 3 3
1 0 3
3 4 3
0 4 1
0 3 4
2 1 3
3 1 3
10 4
0 3 2
3 3 1
3 0 1
2 2 1
0 3 0
3 1 0
0 2 2
3 1 2
1 1 3
1 0 1
10 8
2 0 3
1 0 0
2 2 3
1 2 2
1 3 3
2 3 0
0 3 0
1 3 0
0 2 3
2 1 2
10 4
1 1 1
0 2 1
1 3 3
1 0 0
3 0 4
4 4 3
1 4 1
3 3 2
4 2 0
0 1 1
10 9
3 4 4
1 1 0
0 3 1
1 4 1
3 0 1
1 4 3
4 4 3
4 2 0
0 2 0
2 3 3
10 4
4 2 4
4 0 1
3 1 1
4 0 0
4 2 2
4 2 0
3 1 3
4 1 2
0 4 0
4 3 1
10 4
2 2 2
1 3 5
3 3 4
5 4 3
3 3 0
1 0 5
0 5 0
0 2 2
1 2 5
0 0 4
10 6
0 0 3
0 4 0
4 5 0
1 4 4
2 4 0
4 3 1
4 0 5
4 1 0
5 5 2
0 2 5
10 6
3 4 2
2 0 2
4 0 2
0 3 4
3 3 2
3 4 0
3 2 3
4 3 1
2 3 0
3 1 0
10 6
3 3 1
2 3 1
1 1 0
0 1 0
0 2 0
2 3 0
0 3 1
1 2 2
0 3 0
2 1 2
10 9
3 0 2
3 2 0
1 0 0
1 2 2
1 3 2
0 0 2
0 3 1
1 1 3
1 1 2
1 3 1
10 2
1 3 2
4 2 3
4 2 1
0 1 2
2 3 0
3 1 2
3 0 3
3 4 0
2 4 2
3 2 1
10 6
0 1 3
0 3 0
3 1 3
1 0 2
2 0 2
2 2 2
1 1 3
1 0 1
1 0 3
1 3 3
10 6
4 4 1
0 3 4
5 1 0
3 3 5
5 0 3
2 3 2
3 4 5
2 0 3
2 5 4
2 3 1
10 4
0 3 0
2 1 2
2 2 3
2 4 1
1 4 1
0 4 1
4 4 1
1 1 2
2 1 3
4 3 4
10 7
1 0 4
4 1 3
4 3 3
5 4 5
4 2 1
1 3 5
5 2 4
3 1 1
1 4 1
0 1 2
10 9
3 2 1
1 1 0
0 3 0
2 2 2
2 3 0
1 2 1
3 0 0
2 0 2
1 0 0
3 3 2
10 6
4 2 0
0 1 1
3 4 3
0 3 3
2 2 0
4 4 4
4 3 4
1 4 4
2 4 3
2 4 4
10 6
1 0 1
2 0 2
0 1 1
2 2 0
2 0 1
2 2 2
2 2 1
0 0 2
0 2 2
1 1 0
10 6
0 3 4
2 2 1
4 0 1
4 4 0
1 1 1
3 2 0
4 3 1
0 1 0
4 2 2
3 0 2
10 9
2 2 2
1 2 1
1 1 0
2 1 0
2 0 1
2 1 1
0 2 2
1 2 0
1 0 0
0 2 1
10 6
3 1 2
3 0 2
2 0 2
0 1 0
2 1 1
3 3 2
2 2 1
2 1 0
0 3 1
0 1 1
10 7
2 0 0
2 1 1
1 0 0
1 1 0
0 1 2
2 0 1
0 2 2
1 0 2
0 0 2
2 0 2
10 4
3 1 3
3 3 3
1 3 0
0 1 3
3 0 1
2 2 2
0 2 3
1 1 2
3 2 0
1 0 2
10 8
0 2 0
0 0 3
1 3 3
2 1 1
2 1 0
2 3 3
0 0 2
0 0 1
1 2 1
0 1 1
10 6
1 1 1
2 2 1
1 0 0
1 2 2
2 2 0
2 0 0
1 0 2
0 2 2
0 0 0
1 1 0
10 9
2 0 2
2 2 1
0 2 1
0 2 0
1 2 2
2 0 1
1 0 0
2 1 1
1 2 1
0 1 1
10 8
1 3 3
0 3 0
2 2 0
1 1 0
2 1 0
3 1 3
0 2 0
3 0 0
1 0 3
1 3 2
10 2
1 0 0
1 2 0
0 2 0
2 0 2
2 1 1
2 2 1
0 1 0
2 1 0
2 2 0
1 1 0
10 3
1 1 3
0 1 2
0 0 0
2 0 1
3 2 4
2 2 0
0 0 3
1 0 3
4 3 2
0 2 2
10 3
4 0 3
5 1 5
0 3 2
3 4 4
2 5 2
2 5 3
0 4 1
5 5 1
0 4 0
2 4 0
10 6
2 1 3
3 1 0
1 2 2
0 3 1
1 3 0
3 2 0
0 3 0
2 1 0
0 0 2
2 2 2
10 9
2 1 2
1 0 3
3 4 0
2 4 1
0 1 3
2 4 2
0 4 0
3 2 1
1 1 0
3 3 1
10 3
5 3 2
5 4 3
1 0 4
3 5 1
4 0 1
3 0 4
1 1 0
2 5 1
0 5 5
2 0 4
10 3
2 2 1
0 2 0
2 1 1
2 2 2
0 1 1
2 0 2
2 1 2
0 1 2
0 0 0
1 1 2
10 5
4 1 5
0 0 2
0 5 2
0 2 4
5 4 4
3 5 4
5 1 0
5 3 4
5 3 5
1 3 3
10 8
3 2 0
4 0 4
3 1 4
4 3 3
0 0 0
0 2 2
0 0 1
1 2 2
3 2 3
0 1 3
10 2
2 0 2
0 2 1
5 4 5
1 5 4
1 0 5
5 5 3
5 2 4
1 4 4
0 1 1
5 5 1
10 4
3 0 0
0 1 1
1 2 2
1 0 3
0 0 1
0 3 2
1 3 0
1 2 3
0 2 3
0 2 1
10 5
1 0 0
1 2 1
3 2 1
0 3 0
1 2 2
1 0 3
3 1 3
2 3 1
3 0 3
3 3 0
10 4
2 0 2
2 0 1
3 0 0
0 3 2
0 1 0
2 1 0
3 1 0
0 0 0
3 0 1
1 3 1
10 6
0 1 5
1 3 0
2 4 2
3 4 2
5 5 2
0 5 1
1 4 0
1 2 2
5 5 0
4 0 4
10 2
0 0 2
4 3 4
3 2 5
0 1 3
2 1 5
3 0 0
0 3 0
2 4 0
3 0 5
5 2 4
10 9
3 2 5
3 3 0
4 5 1
4 4 0
0 4 4
3 5 2
4 2 0
2 2 4
1 4 0
4 1 1
10 3
2 0 4
4 0 2
4 3 0
4 2 0
0 4 4
1 0 2
2 2 3
4 2 2
4 0 0
4 4 1
10 7
1 2 5
0 4 5
0 3 4
3 0 0
2 1 3
5 0 3
5 3 2
2 2 4
1 2 0
1 3 1
10 7
4 5 4
0 4 4
5 5 0
4 5 2
1 1 4
4 5 5
3 3 1
2 3 5
4 2 1
3 0 1
10 7
5 5 5
4 5 3
5 1 4
0 1 3
5 3 1
2 0 0
0 3 5
3 3 5
3 1 1
4 0 0
10 6
3 1 2
0 1 1
3 0 1
2 3 1
2 0 0
3 3 0
2 0 3
2 3 2
1 1 0
2 0 2
10 6
3 0 1
0 1 3
5 0 0
0 4 5
3 1 1
5 5 4
4 0 0
0 0 5
5 4 0
0 2 3
10 2
0 2 2
1 3 2
3 2 1
0 1 3
3 2 0
1 2 1
2 3 1
1 2 2
0 0 1
1 1 3
10 8
2 1 0
2 0 0
1 1 1
2 0 2
1 1 0
1 2 0
0 1 2
2 0 1
0 0 2
0 0 1
10 5
0 0 0
1 0 1
2 0 2
2 0 1
1 1 2
2 1 2
0 3 1
1 2 3
3 3 2
3 0 0
10 6
1 1 0
1 1 2
0 0 1
0 1 0
2 1 1
1 0 1
1 0 2
0 0 0
1 2 1
2 1 2
10 5
1 3 0
1 3 1
1 3 2
1 0 1
3 2 0
0 2 1
3 0 0
3 0 3
3 1 2
2 2 1
10 2
0 4 3
3 1 4
4 3 2
1 2 0
2 1 2
4 2 1
3 0 2
0 1 3
4 1 0
1 3 3
10 7
3 0 1
3 1 1
0 3 1
2 1 2
3 3 1
2 0 2
3 0 0
2 1 1
1 2 2
0 1 2
10 6
2 0 2
2 0 0
1 0 3
2 0 3
2 3 2
2 1 2
0 1 0
0 1 1
0 3 3
0 2 1
10 9
3 0 0
1 0 3
2 0 1
3 4 1
4 0 1
4 4 4
4 3 3
4 2 3
2 2 3
1 0 4
10 4
1 2 0
2 0 2
0 1 2
0 0 1
0 0 0
0 1 0
1 0 0
0 2 0
1 1 1
2 1 1
10 6
1 1 4
5 1 3
4 3 3
4 4 1
3 4 1
0 0 4
1 0 1
5 0 3
2 0 3
0 4 4
10 8
3 1 0
1 2 2
1 0 3
4 4 2
4 1 1
0 2 0
4 1 2
0 3 5
0 0 5
2 2 0
10 3
2 2 0
1 1 1
1 2 0
2 2 2
1 0 2
2 0 2
0 0 1
0 1 0
1 1 2
0 0 2
10 2
3 0 2
3 0 0
3 3 1
0 2 1
2 1 3
1 1 1
3 3 3
2 0 2
0 3 3
1 2 2
10 6
3 2 1
5 5 5
2 5 2
3 4 1
5 4 3
0 3 0
2 0 0
1 1 5
1 3 3
5 4 0
10 6
1 1 2
1 0 4
0 1 5
2 0 4
1 0 1
1 2 4
4 3 2
0 0 2
1 3 5
1 4 0
10 4
2 1 4
3 1 0
5 5 1
1 0 5
4 0 4
4 1 4
5 0 0
5 0 3
1 4 0
3 4 1
10 5
3 1 5
4 1 1
1 5 3
1 0 3
0 5 5
2 1 4
4 3 1
2 4 5
2 0 5
1 3 3
10 7
0 0 3
4 1 2
4 2 3
5 5 3
1 5 2
1 1 3
5 1 4
1 2 0
4 3 3
4 0 2
10 6
1 0 5
2 1 5
2 5 5
2 5 3
5 3 5
1 3 2
4 4 2
1 4 2
2 0 1
3 1 5
10 5
4 1 0
2 3 1
2 0 5
0 2 1
4 2 2
5 4 4
2 1 0
5 4 3
0 3 1
2 1 4
10 5
2 2 1
3 1 2
1 3 2
3 1 0
1 3 0
3 3 3
1 2 2
0 1 3
2 1 0
0 1 1
10 6
0 1 3
0 2 0
2 3 0
2 1 3
1 3 2
0 1 1
2 1 1
2 2 0
3 3 0
1 0 0
10 8
0 2 1
1 0 2
1 0 0
2 0 0
0 1 0
0 0 1
2 1 1
0 1 1
2 2 0
2 0 2
10 4
0 0 0
0 1 2
2 1 3
0 3 1
2 3 1
0 0 2
0 2 1
0 0 1
0 3 2
2 3 0
10 2
1 0 1
1 2 2
2 3 2
2 1 2
1 1 0
2 1 3
3 0 2
2 3 0
3 2 2
2 2 1
10 4
0 5 4
1 3 3
5 0 5
3 2 0
1 3 4
2 2 5
3 1 4
3 0 3
0 4 5
3 1 0
10 8
3 0 2
1 1 0
1 1 3
1 3 3
3 0 1
0 2 0
1 0 0
0 2 3
1 1 2
0 3 1
10 4
4 3 5
4 3 4
3 0 1
5 3 5
3 0 2
0 5 0
1 1 1
4 3 3
3 4 5
1 1 0
10 6
1 5 2
0 5 4
4 4 4
5 0 5
4 4 2
3 0 4
2 0 3
3 4 3
4 0 4
4 0 3
10 2
4 2 1
2 5 1
1 2 3
1 4 4
3 0 5
0 1 1
4 3 3
0 4 2
3 5 5
1 2 5
10 2
2 0 3
1 1 1
3 3 3
0 3 1
2 3 2
0 1 2
1 1 3
3 3 2
2 2 0
3 1 2
10 9
0 2 2
1 2 1
1 1 0
2 2 1
2 0 0
1 2 2
0 0 0
2 2 2
0 2 0
0 1 2
10 8
0 2 1
2 1 1
1 2 2
1 2 1
2 1 0
2 0 2
1 1 2
0 0 1
0 2 2
2 2 1
10 8
1 2 1
0 1 2
1 0 0
0 1 1
2 0 0
0 0 0
2 1 0
2 1 1
1 2 0
1 2 2
10 5
3 3 2
3 3 1
0 2 3
1 0 0
1 0 2
3 3 3
0 0 0
0 0 2
2 1 0
3 2 1
10 8
1 2 1
2 1 3
0 0 0
0 0 2
3 2 3
1 1 0
1 1 1
1 3 2
1 0 1
3 3 2
10 5
1 0 0
0 0 1
1 0 1
1 1 1
2 1 2
0 1 2
0 0 0
1 3 0
2 0 1
0 0 2
10 9
1 1 0
2 1 2
0 0 1
1 2 1
0 1 1
0 0 2
0 2 2
2 0 0
1 0 0
1 1 1
10 8
1 0 5
5 2 5
4 3 5
0 1 0
2 5 1
2 1 0
2 4 4
4 0 2
1 2 4
2 4 3
10 8
0 1 2
2 2 2
2 1 5
3 4 4
4 3 0
4 2 2
2 3 1
1 3 3
2 5 4
2 2 5
10 6
4 1 5
5 5 4
3 2 4
2 4 3
4 0 5
1 5 4
3 1 4
1 4 5
3 4 1
1 5 3
10 2
1 3 1
2 4 4
0 4 1
4 2 3
3 4 0
1 4 1
4 2 2
1 1 1
3 3 2
3 1 4
10 3
2 2 1
0 2 1
2 1 1
1 0 2
0 1 1
1 2 0
1 0 0
0 2 0
2 1 0
1 1 2
10 5
3 3 2
4 3 3
3 3 4
4 2 2
3 2 2
3 1 0
3 3 3
4 3 4
3 3 1
0 0 0
10 3
1 5 2
0 4 0
1 2 0
0 1 5
0 2 5
0 3 0
3 5 4
1 0 5
5 3 0
4 1 5
10 7
0 0 2
0 1 1
1 1 2
0 1 2
1 0 0
1 2 2
2 0 1
1 0 2
1 1 1
0 0 0
10 5
4 4 3
4 3 1
5 3 0
5 2 2
3 0 5
1 3 1
1 3 0
1 4 3
0 2 0
4 2 1
10 7
0 2 2
2 0 2
1 1 1
1 0 2
0 0 2
3 2 1
1 2 2
1 0 1
2 2 1
3 0 3
10 9
2 3 4
4 0 0
3 0 2
3 0 1
2 4 1
4 3 4
2 1 2
3 2 2
2 3 0
4 0 2
10 6
1 5 1
2 2 5
0 3 5
1 4 4
5 3 4
5 5 0
5 2 2
2 4 5
4 2 3
4 4 1
10 4
3 1 3
0 2 0
0 0 0
1 0 0
1 3 2
2 2 3
2 1 0
2 3 2
0 3 2
2 2 2
10 7
2 1 2
3 0 2
2 3 0
3 3 2
0 2 2
3 2 3
3 3 1
0 3 2
0 0 3
3 1 0
10 5
0 1 1
1 0 1
0 0 0
0 0 2
0 1 2
2 1 0
1 1 0
2 2 0
1 0 2
1 0 0
10 5
4 1 1
0 1 3
0 4 4
5 4 2
2 0 3
3 4 3
5 4 3
5 5 4
5 1 3
1 2 1
10 5
2 0 2
1 2 2
2 0 1
1 1 0
0 0 0
0 2 1
1 2 1
1 0 0
2 1 0
2 0 0
10 4
0 2 1
1 1 1
0 1 1
2 0 2
2 1 0
0 1 0
1 1 2
1 2 1
0 0 2
0 0 1
10 3
0 0 0
3 0 4
4 2 3
4 3 1
1 1 2
1 2 1
2 2 0
3 3 4
2 0 0
2 3 1
10 7
4 0 0
0 1 3
1 0 4
2 0 4
1 1 0
3 2 4
2 1 1
3 3 2
0 2 3
0 3 1
10 8
2 0 2
2 3 3
0 2 3
1 3 3
0 2 2
1 0 0
1 3 0
3 0 2
3 3 2
0 0 1
10 7
0 0 0
0 0 1
2 0 1
1 0 1
2 1 2
1 1 2
0 1 1
2 0 2
0 0 2
2 2 1
10 8
0 0 0
0 1 0
0 0 1
1 2 0
0 0 2
1 1 1
2 0 2
1 0 2
1 0 1
1 1 2
10 4
1 2 2
1 1 1
2 2 2
0 2 2
2 0 0
0 0 0
1 0 0
0 1 2
1 0 1
2 2 0
10 8
3 3 1
1 1 1
1 2 0
3 2 0
3 0 3
2 0 0
0 2 2
3 1 2
3 2 2
0 1 2
10 2
4 3 0
3 4 0
1 3 0
1 0 1
3 2 4
2 2 0
1 4 4
0 1 1
0 3 3
3 3 4
10 2
4 2 4
2 3 4
4 4 0
5 0 2
2 1 4
3 5 5
1 3 5
4 0 2
2 4 1
0 1 5
10 3
2 1 2
0 1 0
0 2 1
1 2 1
2 2 1
2 2 2
1 0 1
2 1 1
1 2 0
1 0 0
10 3
0 0 2
0 1 0
2 0 2
1 0 2
0 2 0
2 1 0
1 1 2
0 1 1
2 2 2
2 1 2
10 2
1 2 2
0 1 1
0 2 0
2 1 0
1 2 0
2 2 2
2 0 1
2 0 0
0 1 0
0 0 2
10 7
2 2 0
0 2 2
0 1 2
0 0 2
0 0 1
1 2 0
1 0 0
0 1 1
2 1 2
1 2 2
10 9
3 2 0
4 2 1
1 4 0
2 3 2
0 3 1
1 4 3
2 3 0
4 4 4
0 2 4
0 4 2
10 5
4 0 2
4 2 3
0 4 1
3 0 0
4 1 2
3 2 0
0 1 4
3 1 4
0 2 0
1 3 0
10 8
0 0 1
1 2 1
0 0 0
2 1 2
0 1 1
0 1 0
1 0 0
1 1 0
1 0 2
1 0 1
10 7
0 1 5
3 4 4
2 3 1
2 3 0
0 4 3
5 1 3
4 4 0
5 2 2
1 2 5
3 2 1
10 3
0 4 1
4 0 3
3 0 3
2 3 4
2 0 2
1 0 4
1 4 1
0 1 0
1 3 3
0 4 4
10 7
3 3 0
1 2 3
1 2 2
2 1 2
2 2 3
1 0 0
0 1 1
1 3 3
3 2 2
2 2 1
10 6
5 2 3
0 0 2
1 4 4
4 5 1
1 5 2
3 5 3
3 2 1
3 4 3
3 3 4
2 2 4
10 5
5 1 2
2 5 2
5 4 2
1 5 0
2 3 2
2 5 4
5 2 3
1 3 3
5 1 1
3 5 5
10 7
1 2 2
5 3 4
4 2 4
0 0 2
4 3 4
0 5 5
1 5 2
0 5 4
3 0 3
1 3 3
10 3
0 1 0
0 2 2
3 3 3
2 2 4
3 2 2
0 1 2
4 2 2
4 3 1
2 4 1
0 4 4
10 3
0 3 5
4 3 2
3 2 5
0 0 4
3 3 2
5 3 2
2 4 5
2 2 5
1 0 1
1 2 1
10 2
2 0 3
0 1 0
1 0 1
3 3 3
0 1 2
3 1 0
1 1 2
0 2 2
2 2 3
0 0 0
10 7
0 2 1
3 2 2
2 2 0
3 0 3
3 1 0
0 2 2
2 3 0
1 0 1
3 3 3
0 0 3
10 9
2 3 1
3 0 1
4 5 2
5 2 5
1 0 3
3 4 0
1 0 1
4 4 0
0 4 1
2 0 0
10 2
1 2 2
2 1 2
0 0 1
1 1 2
2 0 2
1 2 0
0 2 2
1 1 1
0 1 0
1 0 1
10 3
5 3 4
3 3 1
4 3 1
3 2 1
2 2 1
0 0 5
2 2 0
0 2 4
0 1 1
0 5 3
10 3
4 2 5
0 3 3
1 1 4
0 5 5
0 3 4
2 3 4
4 3 5
1 2 2
2 4 5
4 0 5
10 8
1 2 1
2 1 2
1 4 0
2 3 2
5 0 5
1 4 1
3 1 0
1 4 2
0 5 1
0 4 5
10 4
1 4 4
4 1 4
0 3 0
4 2 1
0 0 4
2 2 0
2 4 1
4 2 0
4 3 2
4 3 0
10 5
2 2 0
0 2 2
2 1 0
2 1 2
0 0 2
0 1 1
1 0 0
0 2 0
1 1 2
1 0 1
10 2
1 1 0
3 0 1
2 3 0
1 0 3
0 2 3
0 1 1
2 2 3
1 0 0
3 1 3
0 1 2
10 6
0 2 2
2 1 2
1 1 3
1 3 1
3 0 2
2 2 1
0 2 3
0 2 1
2 3 3
1 2 3
10 2
0 4 4
4 2 5
5 4 2
4 0 3
2 3 4
1 0 1
1 0 3
4 5 3
3 4 4
1 4 1
10 3
3 5 4
0 1 3
1 1 3
3 3 0
4 3 1
1 1 5
2 4 0
4 5 5
5 1 0
4 1 3
10 4
5 2 4
5 1 0
2 2 0
5 0 1
3 5 3
4 3 1
2 0 5
2 0 1
4 2 0
0 5 3
10 7
2 0 1
2 0 2
2 1 2
1 1 0
1 2 1
2 1 1
0 2 1
0 0 0
2 1 0
0 0 1
10 2
3 2 3
0 4 3
3 4 4
0 1 3
3 1 0
4 0 3
3 4 2
2 4 3
2 4 0
1 0 1
10 4
3 4 1
2 1 3
1 4 4
2 1 4
3 3 4
3 4 0
2 0 3
3 4 3
1 4 3
4 3 2
10 4
3 0 3
0 0 1
2 2 0
0 1 0
1 2 1
2 3 2
2 0 2
3 0 2
3 1 1
2 3 1
10 7
1 0 2
0 2 1
2 2 1
2 0 1
1 2 1
1 0 0
1 1 0
1 0 1
1 1 2
1 1 1
10 7
0 2 1
2 1 2
2 2 1
1 1 2
0 2 0
1 0 0
0 0 1
1 1 1
1 0 2
0 1 0
10 9
3 2 2
3 0 2
0 1 2
2 2 0
0 0 2
0 3 0
2 1 0
1 0 3
0 1 1
2 2 3
10 9
2 1 2
0 1 2
1 0 3
2 0 1
3 2 0
1 2 1
3 1 0
0 0 3
1 0 0
0 1 3
10 5
3 3 3
4 1 4
1 3 0
1 0 2
2 2 0
3 1 2
1 0 0
4 0 0
4 1 3
1 1 3
10 6
0 0 3
3 1 3
0 2 1
2 2 0
2 0 2
3 0 0
2 3 1
3 1 2
3 2 2
0 1 0
10 5
0 0 0
2 0 0
2 1 0
1 0 2
2 0 1
0 1 0
2 2 2
1 2 2
2 2 0
2 2 1
10 9
1 1 2
0 0 0
2 2 1
1 2 0
0 2 1
2 2 2
0 1 1
0 0 2
0 2 2
1 1 1
10 5
1 4 2
5 4 4
1 5 2
3 4 1
1 4 3
2 4 5
4 1 3
3 0 2
3 1 1
0 2 4
10 7
1 0 0
3 3 2
2 2 2
2 3 3
2 1 2
2 2 1
0 1 0
2 0 0
0 3 1
3 1 1
10 3
2 2 0
2 5 5
4 1 4
4 5 5
2 5 2
3 5 2
4 4 5
5 3 0
0 4 2
3 4 0
10 4
0 4 0
4 0 4
1 3 1
3 4 1
0 4 4
2 0 1
2 1 0
0 4 2
4 1 0
1 0 0
10 5
1 2 0
0 0 2
1 0 0
2 0 1
0 1 0
2 1 0
0 1 1
2 2 0
0 0 0
2 1 2
10 4
3 3 2
3 2 3
3 3 1
1 3 0
3 2 2
2 0 1
0 2 3
1 0 1
2 3 3
0 0 1
10 8
0 1 1
2 0 0
0 0 1
1 2 0
2 0 1
2 2 2
0 2 0
2 1 0
0 0 2
0 1 0
10 6
2 0 1
2 1 2
1 0 2
0 0 1
1 0 0
0 0 2
2 2 2
2 1 1
0 1 0
0 2 0
10 3
1 2 1
0 0 2
1 2 2
1 0 2
1 1 1
1 2 0
1 1 2
2 1 0
0 1 1
2 2 0
10 4
0 0 3
1 3 1
1 0 3
2 0 1
0 2 2
3 3 3
0 2 0
1 2 0
3 0 0
3 2 0
10 7
2 2 0
0 1 3
0 2 1
0 4 3
4 3 2
1 3 1
2 3 3
4 0 4
0 3 2
0 4 0
10 8
5 0 4
0 4 5
2 3 4
2 1 2
3 3 1
1 0 0
0 1 2
1 3 2
4 4 1
1 5 4
10 3
0 0 1
2 0 2
0 1 1
2 2 1
0 2 1
0 1 2
0 2 0
2 2 2
1 0 0
1 1 1
10 4
2 1 4
1 2 3
2 2 0
3 3 1
3 1 3
3 2 3
3 4 0
3 0 2
4 1 2
0 3 4
10 6
0 1 1
2 2 2
0 1 2
2 0 0
0 2 1
2 2 0
0 2 2
1 2 1
0 0 2
1 0 2
10 4
0 2 3
3 2 0
1 3 2
0 3 3
0 1 1
2 2 3
0 3 4
0 3 2
3 4 0
1 2 1
10 7
0 0 2
2 2 2
2 1 0
1 1 2
0 2 0
1 1 1
0 1 1
2 0 0
2 0 1
0 1 0
10 6
3 1 2
2 0 2
0 3 2
2 1 0
2 1 3
0 0 3
0 2 0
3 0 1
3 1 0
0 3 1
10 3
1 2 2
2 2 1
3 1 2
3 3 0
3 1 1
3 2 1
1 3 3
2 0 1
0 3 0
0 3 1
10 3
2 0 1
0 1 3
1 0 0
2 3 3
0 2 0
1 3 2
2 1 0
1 0 1
0 3 1
3 1 2
10 3
5 1 1
0 0 5
0 0 4
2 1 3
1 5 0
3 2 3
1 1 4
3 5 1
5 1 4
5 5 3
10 9
1 0 0
0 1 2
2 2 2
0 2 2
2 1 2
1 0 2
0 0 2
0 1 1
0 2 1
2 0 1
10 4
4 0 4
4 1 0
0 4 1
3 1 2
1 1 4
3 2 5
3 1 1
0 1 2
2 3 4
2 4 5
10 5
2 1 0
0 2 0
2 1 2
1 0 2
1 1 2
1 1 1
0 2 1
1 1 0
2 0 0
0 1 2
10 8
1 0 0
2 2 0
2 1 2
2 0 1
1 2 0
1 0 2
2 0 0
2 1 0
2 1 1
0 2 2
10 4
1 0 3
2 2 1
2 3 0
2 1 0
1 3 1
1 1 1
2 3 3
3 0 2
2 0 1
1 1 0
10 2
1 2 0
1 2 1
2 1 2
0 1 1
2 1 1
1 2 2
2 2 1
2 2 3
1 0 3
3 2 3
10 2
0 1 3
3 0 3
2 3 0
2 3 3
1 3 3
0 0 3
2 3 2
2 2 2
0 1 1
1 3 1
10 2
1 1 1
2 2 1
0 2 0
2 0 1
0 0 1
0 1 0
2 1 2
2 0 2
1 2 0
0 1 2
10 9
0 1 1
2 1 2
1 1 1
2 0 0
2 2 0
0 0 0
1 0 1
0 0 1
2 0 2
0 2 1
10 8
2 1 2
3 3 2
2 1 3
3 1 1
3 0 2
0 1 2
2 0 3
0 0 3
3 0 1
0 3 3
10 7
0 2 1
1 0 5
5 1 0
4 3 2
2 1 2
2 1 5
4 2 1
2 4 4
3 4 0
2 0 3
10 4
5 2 5
4 1 0
5 1 4
4 3 4
0 2 4
5 1 5
3 0 3
2 2 4
1 3 2
0 4 1
10 3
3 1 1
1 0 0
2 1 2
2 1 1
0 1 3
1 3 1
1 2 0
1 1 1
1 2 1
2 3 0
10 3
1 3 2
0 2 2
1 3 0
1 0 0
3 0 0
1 2 1
0 2 1
3 3 3
3 2 0
1 3 1
10 5
0 1 2
4 2 4
1 1 2
1 5 5
3 4 4
2 0 2
2 3 5
4 5 3
3 2 2
2 1 4
10 9
0 2 1
1 1 2
0 2 2
2 2 1
2 1 1
1 0 1
0 0 0
2 1 2
0 1 0
2 0 2
10 6
2 1 0
3 3 3
3 3 1
2 2 0
2 2 2
0 2 3
1 0 3
3 1 3
0 3 1
1 2 1
10 5
2 4 3
1 1 1
2 0 3
3 1 1
2 2 2
3 2 2
0 2 2
0 1 4
0 2 3
4 3 4
10 6
2 0 1
1 2 0
1 0 1
2 1 0
0 2 1
0 0 2
1 0 2
2 1 2
2 1 1
2 2 2
10 8
1 0 1
3 2 2
1 1 3
3 3 3
0 2 3
3 3 1
0 2 0
0 1 1
3 0 3
1 0 0
10 9
4 1 4
1 1 2
0 0 0
2 2 1
2 0 0
1 2 3
0 2 3
3 1 2
3 0 2
0 1 1
10 6
2 4 3
4 2 4
4 4 4
0 3 0
4 0 1
2 3 2
0 0 2
2 4 1
0 0 4
4 3 2
10 5
0 0 0
0 3 0
4 2 2
0 1 5
0 0 1
3 0 1
3 1 1
5 3 0
3 1 5
0 0 5
10 2
1 1 2
1 1 4
3 0 0
4 4 2
2 3 2
1 4 0
4 2 1
4 4 0
2 0 1
2 1 0
10 3
3 0 5
1 0 1
3 3 5
1 3 4
4 1 0
5 2 2
0 4 1
0 4 5
0 0 4
1 0 3
10 8
2 2 5
2 3 3
5 3 0
0 1 5
4 2 1
1 3 5
3 4 3
1 4 3
3 5 1
4 2 5
10 5
2 2 2
1 3 2
1 2 0
2 1 0
3 1 1
3 1 2
2 3 1
3 0 2
2 0 1
0 2 0
10 3
0 2 4
1 3 4
4 1 5
0 0 1
2 0 5
3 5 4
3 5 3
5 2 1
0 5 3
4 1 4
10 4
3 4 3
0 0 3
1 4 1
1 2 2
3 1 0
2 3 1
0 4 2
0 3 3
2 4 2
3 1 2
10 3
4 2 2
2 0 3
1 0 4
2 4 2
2 4 3
2 2 3
3 1 2
3 4 0
4 0 2
4 4 3
10 9
1 2 1
0 2 0
1 2 0
0 1 2
1 0 2
1 0 0
0 2 1
2 2 1
2 1 2
0 1 1
10 8
2 1 2
2 2 3
2 2 1
2 3 0
3 3 0
1 2 3
2 1 3
2 3 2
1 1 1
0 3 3
10 6
2 5 3
0 3 2
0 1 0
3 0 5
5 1 1
3 2 4
3 5 4
0 2 4
1 3 1
0 5 1
10 8
1 4 2
0 2 4
4 1 0
0 2 0
2 4 4
3 1 4
3 3 3
1 4 4
4 3 4
1 1 2
10 5
1 4 4
5 1 2
4 5 4
5 3 0
1 1 4
0 1 3
0 4 4
1 5 1
2 2 2
4 5 0
10 4
0 3 0
1 2 1
3 0 1
1 0 0
2 2 3
1 2 3
1 3 1
2 0 3
0 3 2
0 1 1
10 2
3 2 2
3 1 0
2 2 0
0 1 1
0 2 2
3 1 1
3 3 3
2 1 2
1 1 0
1 2 0
10 7
4 0 4
1 2 1
4 0 3
3 1 2
4 2 1
2 4 3
4 4 2
1 4 2
2 1 0
0 3 4
10 8
3 3 3
0 3 0
0 2 3
3 1 0
1 0 2
0 2 1
0 0 1
2 3 2
1 3 3
2 3 0
10 5
3 0 4
4 1 1
4 2 2
1 1 3
2 1 2
0 3 3
2 3 1
0 1 4
1 3 2
4 4 1
10 8
3 3 1
0 4 5
3 3 0
0 4 4
4 3 1
3 2 1
3 1 1
3 3 2
2 2 0
0 4 0
10 6
4 3 1
4 1 3
0 3 1
1 4 2
2 3 0
1 1 0
0 3 2
4 2 4
0 4 3
1 2 0
10 8
0 1 0
0 0 2
0 1 1
2 2 1
0 0 0
2 1 0
1 2 2
1 0 1
1 2 1
0 2 0
10 6
1 3 1
1 1 0
5 4 5
5 1 3
3 1 4
4 4 0
1 4 5
5 2 5
5 2 2
0 3 4
10 7
2 4 1
4 0 0
3 0 1
0 4 1
0 0 3
2 1 3
3 2 0
3 3 2
4 3 2
1 3 2
10 7
2 0 0
2 2 0
2 1 1
0 2 1
2 0 2
2 1 0
2 2 1
1 1 0
0 1 2
1 1 2
10 5
0 2 1
0 3 0
0 3 3
0 0 2
0 2 0
3 0 1
0 1 3
1 2 1
0 2 2
1 0 0
10 6
3 1 0
4 5 3
5 5 1
4 1 1
4 5 0
5 5 3
5 3 1
2 4 4
4 0 2
2 1 1
10 5
3 3 3
2 1 1
1 0 2
3 3 2
2 0 1
1 3 3
1 1 3
2 2 0
2 0 3
3 0 1
10 4
1 1 0
2 2 0
0 2 0
0 1 1
0 1 0
0 0 1
1 1 2
1 2 0
2 0 2
1 0 1
10 8
2 4 4
4 1 4
2 3 3
3 1 2
1 1 2
3 4 0
1 3 4
0 1 4
3 3 1
4 2 1
10 2
5 3 4
2 4 3
5 2 3
2 3 3
3 3 2
4 3 2
0 0 0
3 4 4
1 4 4
2 2 5
10 2
2 4 3
3 3 2
4 2 1
4 0 3
4 1 3
4 0 0
1 2 0
1 4 2
1 1 4
4 4 2
10 8
2 2 1
1 0 0
1 1 2
1 0 1
0 0 1
2 1 2
0 1 0
2 2 2
2 0 0
2 1 0
10 6
0 3 4
0 3 2
2 4 1
4 1 4
5 4 3
4 3 1
5 3 4
3 4 0
1 5 4
5 5 4
10 7
3 3 2
2 3 3
0 0 1
1 0 3
1 1 3
1 0 1
2 0 2
1 2 3
0 3 0
3 3 1
10 9
2 0 4
1 2 1
0 3 4
0 4 0
2 0 3
0 3 0
2 4 3
3 2 2
0 4 4
1 0 3
10 2
0 1 2
2 0 2
1 3 5
5 0 5
4 3 3
0 0 4
2 2 0
5 5 3
3 1 2
4 4 4
10 8
2 2 2
2 1 2
0 1 1
1 1 1
1 2 0
0 1 0
2 0 0
0 2 1
0 1 2
1 0 1
10 7
0 0 0
2 0 2
1 2 3
0 3 2
1 1 0
2 2 2
1 1 2
2 3 3
0 2 0
1 2 2
10 3
1 2 2
4 0 3
2 4 4
2 3 3
3 1 4
2 2 3
2 2 1
1 0 0
0 3 2
1 3 0
10 6
3 2 3
4 2 0
0 4 4
4 3 1
3 1 2
3 0 0
0 2 2
0 0 3
0 3 0
2 0 3
10 3
2 3 1
5 0 2
0 5 2
2 1 4
0 1 4
0 4 1
3 1 5
3 2 3
1 0 2
2 1 3
10 8
4 3 0
2 3 0
4 1 2
0 2 2
2 2 3
0 1 3
1 2 0
3 0 3
4 0 4
0 2 0
10 6
1 1 1
2 1 2
1 1 2
2 0 2
0 1 2
2 2 2
0 2 0
0 0 2
1 2 0
2 0 1
10 7
1 2 3
3 0 2
2 3 1
1 1 1
2 3 0
3 0 0
0 3 3
3 3 2
0 1 1
3 2 2
10 4
2 2 0
3 0 0
0 3 0
0 3 3
0 1 0
0 0 3
2 3 2
3 1 2
0 0 1
2 0 2
10 3
0 0 2
3 3 3
1 0 1
2 3 3
1 3 1
3 3 1
2 0 0
1 0 0
0 3 0
2 2 1
10 8
3 0 2
1 1 2
0 1 1
1 0 1
3 0 1
3 1 0
0 0 3
0 2 1
0 1 2
2 0 0
10 5
0 3 3
3 1 1
3 3 1
3 1 2
2 1 2
1 1 1
1 3 0
3 2 1
2 0 3
0 3 1
10 2
4 4 1
2 1 2
1 3 2
0 1 2
3 3 3
4 3 2
3 4 4
4 2 0
2 0 1
4 1 0
10 2
0 0 3
3 1 2
0 3 0
0 3 1
1 2 3
3 3 3
2 0 1
1 0 1
2 0 2
0 0 2
10 2
0 3 2
2 2 3
3 0 1
1 1 2
3 3 2
2 3 1
1 0 2
1 3 1
2 2 0
0 1 3
10 7
4 2 5
2 5 3
5 0 2
0 2 2
0 0 0
4 3 1
3 0 2
0 4 4
2 5 2
2 1 0
10 5
2 2 1
0 1 2
2 2 2
0 2 1
2 2 0
2 0 1
1 0 2
0 1 1
0 0 1
1 0 1
10 4
0 2 1
1 1 2
1 2 1
0 1 0
0 2 2
0 2 0
2 0 0
0 0 1
1 2 2
2 1 0
10 4
1 4 0
2 4 2
0 0 3
1 3 2
3 0 3
1 4 1
3 3 1
0 3 1
3 4 2
2 3 4
10 9
2 0 5
3 3 3
0 1 2
0 5 4
0 1 5
3 1 4
2 4 5
3 4 4
5 4 2
0 4 3
10 8
2 5 0
2 3 0
4 5 0
5 2 1
4 4 5
1 3 2
5 0 0
2 0 4
4 1 2
1 5 2
10 4
2 1 1
0 2 0
0 0 1
2 0 1
2 2 0
1 2 0
0 1 0
0 1 2
1 0 2
1 1 2
10 5
3 3 2
5 0 2
3 2 3
0 3 5
5 4 3
5 1 3
3 4 0
0 5 2
4 2 0
2 2 1
10 5
0 3 5
0 5 2
4 5 4
3 5 4
3 3 5
5 5 1
1 5 0
3 0 4
3 5 0
0 3 0
10 6
3 2 3
1 3 2
0 3 0
0 0 0
1 2 3
2 3 3
3 0 1
3 1 0
2 1 2
3 2 2
10 3
3 2 0
2 1 3
0 2 1
3 2 1
3 0 0
2 3 2
0 1 3
3 3 0
3 2 3
1 0 0
10 9
2 3 3
0 0 0
4 2 1
3 1 3
2 4 3
4 5 5
4 0 4
1 4 2
3 3 4
3 2 3
10 8
2 0 2
0 0 0
2 0 1
0 0 1
1 0 0
2 2 2
2 1 2
1 1 0
1 0 1
0 0 2
10 9
2 4 0
4 0 1
0 4 0
4 3 1
4 3 0
2 4 1
3 1 2
2 2 1
3 4 0
2 1 1
10 3
2 2 0
0 1 0
1 1 1
0 3 0
0 2 0
1 0 2
1 3 3
2 3 3
3 2 3
3 0 3
10 6
3 2 2
5 4 1
1 3 5
1 4 4
3 5 2
0 3 1
4 4 4
1 0 2
3 2 0
2 2 0
10 9
0 3 1
3 4 0
2 0 0
3 2 2
0 2 2
3 2 1
0 1 4
0 1 1
0 2 4
3 4 4
10 6
2 0 1
1 1 3
2 2 3
0 1 2
2 3 1
3 1 1
0 0 2
1 2 2
2 2 2
0 3 1
10 4
4 2 5
1 5 4
4 2 2
0 0 2
3 5 0
4 1 4
0 0 1
3 4 3
3 1 3
3 4 5
10 7
1 0 1
0 0 1
2 2 2
2 0 1
0 2 1
2 1 1
2 1 0
2 2 0
0 2 0
0 1 1
10 2
2 1 1
2 1 3
3 3 3
3 3 1
2 3 3
3 1 1
1 2 1
2 0 1
1 2 0
1 2 2
10 7
0 0 4
5 2 2
1 3 5
4 0 0
5 5 4
0 3 1
2 4 0
5 2 3
5 4 5
5 4 2
10 2
1 3 0
0 0 3
0 4 0
1 1 0
3 2 1
1 3 1
4 3 2
2 0 1
4 4 2
3 3 3
10 7
1 2 0
2 1 1
1 2 1
1 1 0
1 1 1
2 0 2
0 2 2
1 0 0
1 0 2
1 0 1
10 9
2 1 0
0 0 1
0 3 2
1 1 2
0 3 3
3 0 3
1 3 1
0 2 3
2 2 2
0 0 0
10 4
0 0 2
0 1 2
0 1 0
1 2 2
1 0 2
1 1 2
1 1 1
2 0 1
0 0 0
2 2 2
10 3
3 1 0
1 2 4
4 3 1
2 2 3
3 3 4
4 1 1
4 4 0
1 0 4
3 3 2
4 2 0
10 6
2 2 0
2 0 1
0 2 2
0 0 2
0 0 0
0 2 1
1 1 1
0 1 2
1 0 2
2 1 1
10 9
3 1 1
3 0 0
0 3 3
0 2 0
0 2 2
3 2 0
3 1 3
1 3 2
2 3 0
2 0 1
10 5
0 3 1
2 0 0
1 1 4
4 0 1
0 0 1
4 4 4
3 1 0
2 3 2
4 1 2
1 3 1
10 2
1 4 4
0 4 3
3 2 0
0 0 4
3 4 2
4 3 1
3 3 0
0 4 0
4 1 0
1 3 0
10 9
1 3 2
0 2 1
0 2 2
0 0 0
0 0 1
2 1 1
4 4 1
0 1 2
3 1 3
3 1 1
10 3
2 1 0
2 0 2
2 0 1
1 0 2
0 1 2
1 1 0
1 2 0
1 2 2
0 2 0
1 1 2
10 4
1 1 0
1 2 1
0 1 0
0 2 2
1 0 2
2 1 0
1 1 1
0 2 0
0 0 2
1 0 1
10 6
1 0 2
0 1 0
0 1 2
1 1 2
2 0 0
1 2 0
1 0 0
1 1 1
0 1 1
2 2 2
10 4
5 4 3
3 5 5
1 2 4
1 0 5
0 2 2
4 2 2
4 1 5
1 1 1
1 1 3
5 3 2
10 4
4 3 4
3 3 1
3 4 1
0 4 4
0 4 1
1 4 1
2 3 3
2 2 3
2 4 4
4 4 4
10 5
3 0 4
4 2 3
1 3 1
2 3 3
0 2 3
0 2 1
3 2 0
4 3 0
2 4 0
0 3 4
10 2
3 5 5
5 1 1
3 5 2
0 0 3
2 4 3
4 1 1
1 0 3
2 1 0
5 2 1
4 4 0
10 4
2 1 0
1 0 1
2 1 2
1 1 0
1 2 1
0 0 1
1 2 2
0 2 1
2 1 1
2 2 2
10 6
2 0 0
3 0 1
2 1 3
2 1 1
1 3 3
0 3 2
2 1 2
3 1 3
3 3 1
2 2 0
10 2
4 0 0
0 3 3
0 0 1
1 0 2
4 1 4
1 4 3
1 3 3
4 1 1
2 0 1
0 1 1
10 2
5 5 2
0 0 0
4 1 1
1 3 3
1 4 1
4 3 5
1 3 2
2 3 4
2 4 2
2 0 1
10 4
0 1 0
2 0 0
2 2 1
1 0 0
2 0 2
0 2 2
0 0 1
1 0 2
0 2 1
1 2 0
10 4
1 2 3
4 1 4
1 1 5
0 4 2
3 1 2
3 4 5
3 2 1
2 1 4
4 0 2
5 3 5
10 2
1 0 3
1 1 1
2 1 3
3 2 2
3 0 3
2 0 1
3 2 0
3 1 2
1 2 0
0 2 2
10 4
1 1 0
2 0 0
1 1 2
2 0 2
0 1 0
0 0 0
2 2 0
0 1 1
1 1 1
0 0 2
10 2
0 3 1
3 1 0
0 1 0
2 2 2
0 2 2
3 0 2
2 0 1
1 1 1
3 1 2
2 0 3
10 7
2 1 2
1 0 1
0 0 0
0 2 1
2 2 0
2 2 1
1 1 2
0 1 0
1 0 0
2 0 0
10 7
3 1 2
5 3 5
2 4 0
0 1 0
0 5 4
1 0 1
2 0 3
3 5 4
4 3 0
5 5 4
10 2
0 2 0
0 0 1
0 0 2
0 1 1
2 1 1
0 1 2
1 1 0
1 2 1
0 2 2
2 0 1
10 5
3 0 0
2 3 0
1 0 0
4 0 0
1 1 1
0 1 2
3 4 4
1 1 3
4 4 4
2 3 1
10 6
0 0 3
0 2 2
1 2 2
0 0 1
0 0 2
3 0 2
3 1 3
1 3 3
2 1 0
0 2 3
10 2
3 3 1
0 1 2
2 3 2
0 3 3
1 2 2
1 1 1
1 0 2
2 0 3
3 1 0
2 2 2
10 5
4 0 2
1 1 1
5 3 0
0 5 0
3 3 0
2 5 1
5 2 2
5 2 3
2 2 5
5 2 5
10 7
3 4 5
4 4 4
0 1 1
5 3 5
1 0 1
2 4 0
4 0 4
4 4 1
1 5 4
4 4 0
10 4
3 3 0
2 2 1
2 4 0
0 1 5
1 2 3
1 0 1
5 0 4
1 2 1
0 5 5
3 5 1
10 3
0 3 4
4 3 0
1 0 4
4 1 3
3 4 3
0 0 1
2 1 1
3 2 4
4 4 3
4 4 2
10 2
2 0 4
1 0 3
2 2 5
5 0 1
3 3 0
0 3 3
0 2 4
2 4 3
5 4 4
1 5 4
10 4
0 3 4
1 2 1
1 3 4
1 2 2
4 2 4
0 4 3
4 4 2
1 4 3
4 0 0
4 1 3
10 8
2 1 3
2 1 0
2 3 1
2 3 0
1 0 0
0 1 2
2 1 2
2 3 2
0 0 1
3 1 2
10 3
0 2 1
2 2 2
2 0 1
0 1 1
0 0 2
1 1 2
1 2 2
2 1 0
1 0 0
2 1 2
10 9
0 0 0
2 4 2
3 3 0
1 2 3
2 3 2
3 2 1
4 3 1
4 3 4
1 0 0
3 4 4
10 8
3 1 3
3 3 3
2 0 1
3 3 2
1 4 1
2 4 2
3 2 1
4 0 0
0 0 3
0 4 2
10 8
0 5 1
0 1 5
4 2 2
4 1 5
2 1 0
0 0 0
2 1 1
1 4 0
4 2 3
2 1 4
10 6
1 0 1
4 2 4
3 1 2
2 1 2
0 0 0
4 4 4
0 3 3
0 0 2
4 4 2
1 0 0
10 2
3 2 2
4 0 1
2 1 3
2 2 2
3 1 4
0 0 4
4 0 3
2 2 4
4 4 0
4 4 4
10 2
4 1 5
0 2 5
0 3 0
5 1 2
5 1 4
5 0 2
3 4 0
3 1 3
0 2 2
2 1 3
10 9
2 3 2
0 3 3
4 0 4
5 5 3
1 2 5
3 2 3
3 1 1
0 2 3
2 4 2
3 5 4
10 4
0 0 1
3 0 2
0 2 3
2 3 3
3 0 0
0 3 3
2 0 2
1 2 3
0 1 3
0 0 0
10 9
0 1 2
2 1 2
0 0 0
0 0 2
1 0 2
1 0 0
1 2 2
2 2 0
0 1 1
2 2 2
10 6
1 1 2
1 1 1
1 3 3
0 0 2
3 1 1
3 2 2
3 3 3
3 0 1
1 3 1
0 2 2
10 6
1 3 2
2 1 3
1 3 1
1 2 1
2 0 0
0 0 0
0 3 2
0 1 0
3 0 2
1 3 0
10 4
5 5 3
0 2 1
4 3 3
0 3 5
5 4 2
2 5 1
4 3 4
3 2 2
4 1 4
0 2 2
10 4
3 3 3
0 4 2
2 0 0
3 2 2
3 3 4
3 3 2
4 0 1
4 4 0
3 0 4
4 1 1
10 7
3 2 3
1 0 3
5 1 5
2 2 2
0 0 3
4 5 5
4 1 0
4 2 5
0 1 0
5 4 3
10 9
1 1 1
0 4 2
2 5 2
3 4 2
3 4 4
5 4 2
2 0 1
1 4 4
1 5 1
1 3 4
10 2
0 2 0
1 2 2
2 1 1
0 1 0
2 2 2
1 0 2
0 1 1
0 2 1
1 2 0
2 1 2
10 5
4 0 3
4 3 4
4 1 4
0 3 4
4 4 1
1 2 2
2 1 0
0 1 3
0 2 3
4 4 3
10 4
4 0 2
5 3 2
4 5 0
0 5 0
1 1 0
5 2 0
2 1 4
2 5 0
1 4 0
3 2 4
10 2
2 2 0
0 4 1
4 0 2
4 4 0
0 3 0
3 2 2
2 4 2
3 4 1
2 4 4
2 4 3
10 7
2 0 1
1 2 1
1 0 0
0 2 2
1 1 0
2 1 0
1 1 2
2 0 0
1 2 0
0 0 2
10 7
4 1 0
0 4 2
0 4 0
0 0 3
0 1 0
3 2 3
5 0 1
5 1 5
5 2 0
3 5 5
10 4
0 2 3
1 1 2
3 2 1
2 1 3
1 2 0
0 1 2
2 0 3
3 1 3
1 2 1
2 3 2
10 9
3 3 1
1 3 1
3 2 2
1 0 3
3 0 3
0 2 1
1 1 3
3 1 1
3 3 0
2 2 1
10 5
2 1 1
1 3 3
1 0 3
1 1 3
1 2 2
3 3 0
0 0 0
3 1 3
0 2 0
1 3 0
10 5
1 0 1
2 0 2
0 2 0
2 0 1
1 2 0
1 1 0
0 0 0
0 2 1
0 1 1
1 1 1
10 6
0 2 3
0 0 4
3 4 4
4 2 2
1 0 2
3 1 1
3 4 3
3 2 0
1 3 2
0 0 0
10 8
3 3 4
0 4 0
1 1 5
5 2 3
4 3 5
4 2 3
1 3 2
2 1 4
0 4 3
5 5 2
10 6
0 0 0
0 3 2
4 4 3
1 3 1
4 0 2
3 4 3
0 2 1
2 0 0
3 0 4
2 1 0
10 9
0 3 3
3 0 3
0 0 0
3 3 3
0 1 0
3 3 0
2 0 1
1 1 2
0 2 1
1 3 2
10 6
1 1 3
4 4 4
1 1 0
3 3 2
1 3 3
2 4 1
4 0 2
4 3 2
0 4 2
2 1 1
10 8
2 3 2
3 0 0
0 3 3
0 0 0
2 1 1
0 2 3
1 0 0
0 2 1
2 2 3
1 1 3
10 2
4 2 3
0 1 0
2 4 3
0 3 4
3 1 4
3 4 4
1 3 3
2 2 2
0 3 1
4 1 3
10 2
1 1 4
0 0 1
0 4 0
3 2 5
2 2 0
0 3 3
2 0 4
0 1 1
4 0 2
5 2 0
10 6
2 2 0
2 2 1
0 1 0
0 0 2
1 0 2
0 1 1
0 2 1
0 2 0
1 2 0
0 2 2
10 2
2 3 2
1 3 1
0 2 1
0 2 0
0 3 2
2 2 0
3 2 3
0 1 1
3 1 2
2 0 2
10 8
1 3 2
1 1 0
2 1 3
1 2 0
3 1 2
2 2 1
3 2 3
3 0 2
3 0 0
0 3 0
10 8
0 0 2
0 0 1
2 2 2
2 0 1
0 2 2
2 0 2
2 0 0
1 2 2
1 2 1
1 1 0
10 7
1 2 2
1 1 2
2 2 1
1 2 1
2 1 1
2 1 0
1 0 2
0 0 1
0 2 2
2 0 0
10 9
0 1 0
2 2 1
0 2 2
0 0 0
2 1 0
2 2 2
1 2 1
0 0 2
1 0 1
1 0 2
10 5
2 2 0
3 3 0
0 1 3
3 2 2
3 1 2
0 3 1
1 3 3
2 2 1
3 0 2
0 2 0
10 5
1 3 3
0 3 0
2 2 3
0 3 2
2 1 0
3 3 3
2 0 3
2 0 1
1 2 2
2 1 2
10 8
1 1 2
3 3 1
0 3 3
2 2 1
0 0 3
3 1 3
2 2 2
0 2 1
3 2 0
1 1 1
10 7
5 3 2
0 2 0
1 4 1
4 1 2
3 4 4
5 3 0
3 1 4
0 3 4
4 2 4
3 1 5
10 8
2 2 3
2 1 3
1 0 1
2 0 2
0 1 1
0 2 0
3 3 2
3 2 0
3 1 2
0 0 3
10 9
2 2 3
3 3 2
0 3 3
3 2 2
2 1 1
1 0 2
1 3 2
1 1 2
2 1 0
3 3 0
10 8
3 0 0
2 2 2
1 4 5
0 5 4
3 2 3
1 2 3
2 3 3
2 0 3
3 3 5
1 2 2
10 5
2 3 2
4 3 3
3 4 1
1 4 2
3 3 3
2 1 1
0 3 2
0 3 3
1 3 2
4 1 3
10 9
2 1 0
3 4 1
2 3 3
0 1 2
4 3 4
3 0 4
1 0 2
1 4 1
0 3 0
4 2 4
10 8
1 4 0
2 1 2
2 3 1
0 4 0
0 3 3
4 3 3
0 1 2
0 4 2
1 2 0
1 3 0
10 2
1 1 3
3 3 0
1 0 0
3 1 1
1 0 3
3 1 2
0 3 3
1 2 1
2 3 3
3 2 0
10 7
3 1 0
4 2 1
2 2 0
2 5 1
2 1 2
1 2 5
0 4 3
1 3 2
2 3 2
1 0 0
10 5
0 2 0
0 1 2
1 1 1
1 2 0
0 0 0
0 0 1
0 1 1
1 0 0
2 1 1
1 1 0
10 5
3 4 2
0 1 4
0 3 3
3 0 2
2 1 0
2 2 2
0 0 3
4 3 4
3 0 1
4 3 1
10 7
2 2 0
4 0 2
4 0 1
0 0 4
3 4 1
2 3 4
4 4 0
1 3 2
4 1 3
1 1 4
10 7
2 3 0
5 2 1
1 0 5
3 1 4
2 1 2
1 3 2
1 1 1
4 4 2
5 4 0
1 0 1
10 7
1 3 2
1 2 1
3 1 2
2 1 3
0 5 1
0 4 3
4 2 2
5 4 4
4 1 3
4 5 5
10 9
1 5 4
0 2 2
2 0 2
0 5 1
1 2 5
3 2 5
5 4 3
4 1 4
5 4 0
1 2 1
10 4
1 2 0
1 0 0
1 1 0
0 0 2
0 2 2
0 2 0
2 0 0
1 1 2
1 2 2
0 1 0
10 3
4 0 4
1 0 0
4 3 2
3 4 4
2 4 0
0 2 4
0 3 0
3 1 3
0 0 2
1 3 1
10 7
2 2 2
2 1 2
3 2 1
4 3 0
1 3 1
3 4 0
1 0 0
3 3 2
1 2 1
4 3 3
10 8
0 0 0
0 0 2
0 2 2
0 2 1
3 0 3
2 3 1
1 1 3
2 2 2
3 0 2
3 3 2
10 4
0 3 2
2 0 3
3 0 1
1 3 1
3 3 2
0 1 3
0 2 2
1 2 2
3 1 0
3 3 0
10 4
4 5 2
1 1 4
0 1 2
2 1 3
4 2 3
1 0 1
5 1 4
5 4 3
1 0 5
2 0 1
10 3
2 4 4
2 0 1
3 1 4
1 2 0
4 4 3
1 2 1
2 2 3
0 2 3
1 2 4
1 0 0
10 7
1 2 0
1 0 2
2 2 2
0 0 0
2 2 1
0 0 2
1 0 0
1 2 1
2 2 0
0 2 2
10 3
2 3 1
1 4 0
3 0 2
3 2 2
0 0 3
4 4 0
3 1 0
1 1 3
0 1 1
2 4 3
10 5
0 1 1
2 0 4
3 4 4
3 3 2
3 1 0
1 1 2
0 3 2
2 3 1
4 2 0
2 2 1
10 9
1 0 3
0 3 4
4 4 3
2 1 4
3 0 4
4 1 1
1 1 4
2 4 4
0 1 0
3 2 0
10 3
4 3 1
4 0 1
3 0 2
0 3 4
3 1 2
0 1 4
2 1 4
3 2 3
0 3 1
3 2 0
10 8
3 0 4
3 4 1
5 3 4
4 1 3
0 4 1
1 3 4
0 2 0
5 1 3
4 2 0
4 4 4
10 7
3 0 0
1 1 1
3 3 2
0 2 1
2 2 0
2 3 0
0 0 1
2 3 3
1 3 3
1 0 2
10 6
4 4 4
2 2 1
0 4 1
4 0 0
2 1 0
4 4 3
2 4 3
2 0 0
3 2 1
3 4 0
10 6
1 0 0
4 1 1
0 1 1
4 2 0
4 0 0
0 1 4
0 0 2
1 1 4
1 4 2
2 1 0
10 6
0 0 2
2 3 1
2 2 2
3 2 1
2 3 0
1 0 3
3 2 2
2 0 0
1 1 3
0 2 1
10 8
2 1 2
0 4 3
2 5 4
0 2 2
3 5 3
5 1 3
2 5 0
0 5 4
0 0 0
0 0 2
10 9
1 2 1
1 1 0
1 0 0
1 1 1
0 1 0
2 1 1
0 0 2
1 2 0
0 1 2
1 0 2
10 7
3 3 3
0 0 2
3 2 2
3 1 1
0 3 3
2 2 0
1 0 2
2 0 0
1 2 1
1 3 2
10 5
0 0 0
1 1 0
2 1 0
2 0 1
0 1 2
2 1 2
1 2 1
1 2 2
2 0 2
2 2 1
10 8
1 3 2
0 0 1
0 2 2
2 2 1
2 3 1
3 3 0
3 1 2
3 2 2
3 1 3
0 1 1
10 2
2 5 4
1 3 0
0 1 1
1 2 1
1 1 0
0 4 1
0 3 1
1 1 1
2 1 3
5 0 5
10 4
2 2 0
2 0 1
0 2 4
5 0 2
5 5 2
2 5 5
5 4 4
0 3 2
4 0 0
2 1 5
10 7
3 0 3
3 1 1
3 1 3
0 1 0
3 3 0
1 0 2
0 3 1
0 1 3
1 2 1
3 2 2
10 6
1 2 1
1 3 1
0 2 0
2 2 2
0 2 1
0 1 2
1 1 0
0 3 0
1 0 2
2 1 3
10 2
2 0 0
0 2 0
0 0 1
2 0 2
1 2 0
1 0 1
0 0 0
1 1 2
0 0 2
2 1 1
10 2
0 0 0
1 0 1
0 2 1
2 1 1
0 0 2
2 1 0
0 2 2
0 1 1
1 0 2
1 1 1
10 8
1 1 0
2 2 2
2 2 1
0 2 2
2 2 0
1 0 0
2 0 0
0 2 1
0 0 0
0 1 1
10 6
1 0 1
3 2 0
1 2 4
2 0 0
2 2 2
1 4 3
2 1 1
0 0 1
4 1 0
0 4 3
10 4
1 0 1
1 1 2
1 2 0
2 2 1
2 1 2
1 2 1
1 0 2
0 2 0
1 0 0
2 1 0
10 7
2 1 0
1 2 2
0 1 2
2 2 2
0 2 1
0 0 0
0 2 2
0 1 1
1 0 0
2 0 0
10 2
4 3 2
2 2 0
1 2 4
2 0 2
1 1 0
4 4 2
1 1 4
4 3 3
0 2 1
2 4 0
10 4
2 2 0
0 0 0
0 2 0
1 2 1
0 1 2
2 2 2
2 0 2
1 2 0
1 0 0
1 1 2
10 5
1 1 0
1 1 2
2 0 0
2 2 1
0 1 2
2 2 2
0 1 0
2 1 1
0 0 1
0 2 2
10 3
2 1 1
2 0 1
1 1 2
2 2 0
1 2 1
2 1 2
0 2 1
0 0 0
1 2 2
1 1 1
10 8
1 2 4
4 1 2
1 4 5
1 1 0
3 1 2
0 2 0
4 2 0
4 0 2
3 5 4
2 3 5
10 5
3 0 4
4 0 3
4 3 2
3 1 2
3 2 1
0 4 2
1 3 4
1 3 3
4 2 1
0 3 3
10 2
4 4 4
3 3 1
0 5 1
0 2 0
5 3 0
3 4 4
0 1 2
0 5 2
1 1 2
4 5 0
10 9
3 4 2
5 2 5
1 3 0
2 1 0
0 3 0
2 1 4
1 1 2
4 5 3
5 1 3
3 5 1
10 5
1 2 0
2 2 1
2 2 0
1 1 2
0 0 1
2 2 2
2 0 2
1 1 0
1 0 0
2 1 2
10 8
0 2 1
5 4 0
0 0 4
5 2 5
3 0 4
4 2 0
2 5 2
3 4 3
4 0 3
5 1 0
10 8
4 4 2
2 0 4
1 1 3
1 4 0
1 2 1
2 2 1
4 4 4
4 3 3
2 0 1
0 0 0
10 7
2 0 2
1 2 0
2 0 0
1 0 1
0 1 2
2 2 1
0 0 2
1 0 0
1 2 1
0 2 1
10 7
1 0 0
1 2 0
0 1 1
0 2 0
2 0 0
0 0 1
0 2 2
1 2 1
0 0 2
2 2 1
10 6
2 1 2
0 0 0
2 2 2
0 2 3
3 0 2
1 2 0
0 2 2
2 2 3
0 3 0
1 3 3
10 9
3 0 0
2 4 1
4 3 4
4 0 1
0 0 2
0 3 2
4 3 0
0 2 4
0 0 3
3 3 3
10 4
2 3 1
1 3 3
2 0 0
3 0 2
1 1 3
1 1 0
2 2 2
3 1 1
1 1 2
3 3 3
10 3
0 5 5
4 0 5
1 4 3
3 1 2
2 0 5
3 5 2
5 1 0
0 2 0
1 1 1
2 2 2
10 4
1 4 1
4 0 3
0 3 4
4 3 0
3 0 2
0 0 4
4 4 4
4 3 1
0 3 2
3 2 2
10 2
3 1 5
4 0 2
2 2 2
0 5 3
5 5 5
0 2 1
4 5 0
5 4 5
2 5 3
3 2 0
10 2
3 2 5
2 4 5
0 4 2
0 4 3
5 3 5
5 1 4
3 4 4
2 0 5
3 1 1
4 5 0
10 2
4 3 1
0 4 4
2 5 1
3 0 0
0 3 5
2 1 1
0 0 0
3 1 2
2 3 2
5 0 1
10 6
0 2 2
2 0 0
2 2 1
1 0 0
2 1 1
1 1 2
0 2 0
1 2 1
0 0 0
1 2 2
10 3
2 4 1
0 3 2
0 0 1
2 0 4
2 0 2
3 1 3
4 3 1
1 1 1
3 1 4
4 0 2
10 2
1 1 1
0 2 3
2 1 0
3 2 0
3 2 1
1 3 1
2 3 2
0 0 3
3 3 0
1 3 0
10 9
0 1 2
2 0 0
1 2 0
0 0 0
2 0 1
0 2 0
2 1 0
0 2 2
2 0 2
1 0 2
10 2
2 3 3
3 0 4
1 0 3
1 3 1
3 2 2
3 3 1
0 4 0
3 2 4
1 0 2
4 3 2
10 6
4 1 0
2 1 4
2 4 1
0 1 2
3 4 2
4 2 1
4 2 2
0 2 1
2 2 3
2 4 0
10 8
3 0 3
1 4 4
2 5 4
0 5 2
5 5 1
1 5 2
1 0 3
4 0 1
0 1 2
3 0 2
10 7
1 1 2
2 2 0
2 0 1
0 0 1
2 2 2
0 2 2
2 0 2
2 2 1
1 1 1
1 0 0
10 8
2 2 0
1 3 0
3 0 0
2 2 2
2 2 3
3 0 2
3 2 1
0 1 0
1 2 0
0 3 1
10 2
0 0 4
2 0 1
2 1 1
0 4 1
2 2 3
4 2 0
1 0 1
2 3 2
3 0 2
1 3 2
10 7
0 0 3
1 2 2
3 4 4
2 4 2
2 0 1
3 1 2
4 3 3
2 3 2
3 3 0
1 3 2
10 9
2 2 5
1 0 0
0 4 0
5 4 0
5 4 1
4 4 0
4 1 4
3 3 0
2 1 1
3 5 2
10 4
3 5 2
5 4 2
2 2 0
1 0 5
4 2 3
4 5 4
5 5 0
2 1 1
5 4 0
4 3 1
10 4
5 2 5
4 2 1
5 0 2
4 0 1
2 5 4
2 1 5
0 5 2
3 3 3
1 5 1
1 2 2
10 4
1 0 1
0 3 2
1 0 3
2 3 2
1 3 1
3 1 0
2 3 1
0 0 2
2 3 3
3 0 0
10 9
0 0 2
2 1 1
1 1 0
1 0 2
2 2 1
1 1 2
2 1 2
0 2 2
0 1 1
2 1 0
10 7
0 3 1
3 1 2
4 0 1
2 0 3
4 3 4
2 4 0
4 2 0
3 3 3
4 1 3
0 1 4
10 5
2 0 3
2 2 0
4 0 4
2 0 0
1 3 3
2 0 1
2 0 4
2 0 2
0 1 0
4 2 3
10 7
2 2 1
0 0 1
1 1 1
0 2 1
0 2 0
1 1 0
1 2 2
2 1 0
0 1 2
2 0 1
10 3
2 1 1
4 5 4
0 0 2
5 1 1
0 5 3
0 4 5
0 0 4
4 5 1
1 5 4
5 0 3
10 8
4 0 1
1 3 2
2 4 4
3 3 3
0 2 2
3 1 0
0 2 4
3 2 1
1 1 4
1 1 1
10 4
2 1 2
0 0 2
2 2 0
1 1 2
1 0 2
1 2 0
2 1 1
0 2 2
1 2 1
0 1 1
10 9
3 5 4
0 1 5
4 2 4
2 5 5
5 3 1
4 4 5
3 5 5
3 4 2
1 5 4
1 2 4
10 2
2 0 2
3 1 1
1 3 1
0 0 1
0 2 1
3 2 0
0 3 0
3 1 3
2 3 2
3 0 3
10 2
2 1 2
4 2 1
3 2 4
1 1 1
3 0 1
3 2 0
4 3 4
3 3 3
2 4 4
4 1 0
10 6
0 1 1
2 2 0
0 0 0
2 2 1
0 2 2
1 2 2
0 1 0
2 0 0
1 1 1
1 1 2
10 4
2 0 3
0 2 1
3 0 3
2 2 3
0 2 3
0 3 3
3 3 0
0 1 3
1 1 2
1 0 0
10 6
0 1 2
2 0 0
1 0 0
0 0 1
1 1 2
1 2 1
2 1 1
2 0 1
2 2 1
2 2 2
10 6
0 0 0
0 1 0
1 0 1
2 1 0
1 0 0
2 0 2
1 0 2
1 2 0
2 1 2
0 0 1
10 2
2 2 4
2 5 2
3 0 1
3 5 4
5 5 5
4 4 2
1 5 2
5 0 1
1 5 4
0 5 3
10 2
2 0 0
5 0 2
3 2 3
1 2 4
3 5 4
5 5 5
2 4 2
0 1 4
4 2 1
0 4 3
10 2
3 0 3
2 1 0
0 2 0
2 0 2
3 2 1
3 3 2
3 2 2
2 1 2
0 1 0
0 0 0
10 7
1 2 2
0 0 1
5 3 3
5 1 4
4 0 1
0 0 5
0 5 4
0 4 0
0 3 3
4 3 2
10 3
4 4 4
0 2 2
1 4 5
2 0 2
2 3 3
3 1 2
2 2 2
1 5 3
0 2 1
3 1 5
10 9
2 1 0
0 1 1
1 2 0
3 3 3
1 3 2
2 2 3
3 0 1
0 2 2
1 0 0
3 3 0
10 6
1 0 3
1 3 1
4 0 3
4 1 3
1 4 3
4 0 0
3 3 0
4 3 4
3 0 1
0 3 4
10 8
2 0 2
2 5 2
5 3 4
5 5 2
5 3 2
0 3 5
5 5 4
4 1 3
5 2 0
1 5 1
10 3
2 3 2
2 0 1
0 1 4
0 3 3
1 1 0
2 1 1
3 4 2
4 1 3
0 0 1
2 3 1
10 4
1 0 2
2 0 2
0 0 2
0 2 2
0 0 0
1 2 2
2 1 1
0 2 1
1 1 0
2 0 1
10 5
1 2 3
2 0 2
0 0 3
2 0 3
1 2 1
1 1 0
0 2 2
2 1 3
0 3 0
1 3 3
10 8
0 2 1
0 1 0
0 2 3
2 3 0
3 4 1
2 2 0
2 1 4
0 4 1
4 2 4
4 4 4
10 7
3 1 1
4 2 0
1 0 1
4 0 0
5 5 2
5 4 3
2 4 0
5 0 4
4 5 5
4 3 5
10 7
2 2 3
4 1 2
1 1 4
4 3 2
5 1 3
3 2 2
0 3 1
0 3 2
4 5 1
4 4 1
10 7
2 1 3
1 0 4
3 0 3
4 0 2
4 2 3
3 4 1
3 3 2
3 3 1
3 1 4
1 4 1
10 4
2 1 3
3 2 4
2 4 3
0 3 3
3 4 3
2 4 2
1 1 3
0 4 2
0 2 2
0 2 1
10 4
2 2 0
2 0 0
1 0 2
1 0 1
0 2 0
2 0 2
1 2 1
2 1 0
1 2 0
0 1 2
10 7
5 3 0
1 0 1
4 2 3
4 2 5
1 1 4
2 2 1
4 0 0
4 5 4
1 0 0
4 3 0
10 6
2 2 0
0 1 2
1 1 0
3 2 3
0 0 0
2 1 1
1 3 0
0 0 3
0 2 1
3 2 2
10 9
3 1 4
4 2 1
4 0 0
4 0 2
3 0 0
3 1 3
0 3 2
0 2 1
3 1 0
0 2 4
10 8
0 2 3
0 1 2
1 0 3
1 4 4
0 4 4
4 1 2
3 2 1
1 3 1
2 3 3
2 4 1
10 2
4 5 3
1 5 2
2 1 0
3 1 5
1 3 0
5 4 2
3 2 2
3 2 0
4 2 4
0 0 0
10 2
2 1 2
3 1 3
4 2 1
2 2 0
4 2 0
3 4 2
3 2 2
3 0 2
0 1 1
2 2 1
10 5
4 5 2
4 0 1
1 2 2
2 3 2
1 1 2
4 1 0
2 5 5
2 4 0
1 4 0
0 1 4
10 7
3 1 0
3 3 2
2 0 3
2 3 0
1 1 1
3 0 0
2 3 2
1 3 3
3 2 3
3 2 1
10 2
3 0 3
4 4 4
1 0 3
4 4 2
0 1 3
3 1 4
1 3 4
3 3 2
0 3 2
3 0 0
10 3
0 0 4
0 0 1
3 2 3
2 1 1
3 1 2
3 4 3
3 3 1
2 0 0
0 4 1
1 2 3
10 4
1 1 2
0 3 0
2 3 1
0 2 0
1 3 2
3 1 0
0 3 3
1 2 2
3 3 1
3 1 1
10 4
2 1 1
3 3 1
0 0 3
2 0 2
2 1 3
0 2 2
0 3 2
3 3 3
3 0 2
3 0 3
10 7
2 1 1
3 2 1
0 0 1
0 2 0
1 3 1
2 2 1
1 2 3
0 2 3
2 0 3
2 3 1
10 7
3 1 4
2 3 3
2 1 5
0 5 3
5 4 1
1 1 3
4 0 3
2 3 2
2 4 2
2 2 3
10 7
0 1 0
2 1 2
2 1 0
0 2 0
2 2 2
2 1 1
1 0 2
1 2 2
2 0 2
1 2 1
10 7
1 0 0
0 0 0
0 0 1
2 0 1
2 1 0
0 1 1
2 2 1
0 2 0
1 0 1
1 1 0
10 9
3 1 3
1 2 1
2 1 1
2 3 3
3 2 2
0 1 2
1 2 2
3 2 1
3 3 2
1 3 0
10 9
1 2 0
4 0 1
4 2 1
3 1 3
0 4 2
2 2 4
2 4 2
3 2 2
0 0 2
0 2 1
10 7
2 0 1
1 3 3
0 1 2
1 0 1
3 2 1
2 0 0
2 2 3
1 3 1
2 0 2
1 2 2
10 7
2 0 1
1 1 1
0 1 2
0 0 1
1 3 0
2 0 3
2 2 2
3 0 0
2 1 1
1 2 2
10 3
4 4 1
1 0 3
4 3 2
1 3 0
3 1 0
0 0 4
3 0 1
2 1 3
0 1 3
2 0 3
10 9
3 1 0
1 0 2
0 2 1
0 3 0
1 3 0
0 2 0
3 0 2
2 1 2
2 2 2
1 0 1
10 8
3 0 3
3 2 3
3 1 0
0 2 3
2 1 3
1 2 1
1 2 0
3 3 0
0 0 3
1 1 0
10 3
2 2 1
0 1 1
2 0 2
1 1 1
0 2 1
0 1 2
0 0 1
1 0 0
0 2 0
1 2 2
10 7
0 0 0
1 2 0
2 0 1
0 1 1
2 1 0
0 2 2
0 1 2
2 2 0
2 0 0
1 1 1
10 5
0 1 0
2 5 2
3 3 1
5 1 0
3 4 0
3 3 0
1 2 2
3 5 3
4 3 4
0 2 5
10 6
4 2 4
3 3 2
4 0 0
3 3 4
2 2 4
2 3 4
4 1 0
3 0 3
1 1 3
2 1 0
10 5
0 2 5
1 1 4
2 4 3
4 0 5
2 2 5
2 2 1
5 0 2
3 0 5
4 0 1
3 4 3
10 9
1 5 0
1 2 3
0 5 2
3 5 4
0 0 2
1 0 0
0 1 3
5 4 4
2 5 0
3 2 5
10 2
0 1 0
1 1 2
0 2 2
2 0 1
2 2 0
1 1 1
2 0 0
1 0 0
1 2 1
0 2 1
10 8
0 2 1
2 0 1
2 2 0
1 1 1
2 0 2
2 1 2
1 0 2
0 1 1
2 0 0
2 1 1
10 2
3 3 2
0 0 1
2 0 2
2 0 0
1 0 1
2 2 0
1 2 0
3 1 1
0 3 0
0 2 2
10 9
0 0 3
1 3 3
1 1 0
1 0 0
1 3 1
2 4 4
2 1 2
3 0 4
2 2 4
3 0 2
10 2
0 4 4
3 5 0
5 5 0
4 4 1
5 0 1
2 4 4
5 4 3
4 2 5
3 3 3
4 4 5
10 5
2 0 2
2 2 2
1 0 1
0 0 1
1 1 2
1 2 0
0 1 2
0 2 1
1 1 0
0 2 0
10 8
5 5 2
0 3 0
3 0 5
1 4 3
4 2 1
1 5 1
1 3 4
4 1 2
4 5 0
5 5 3
10 2
2 3 1
0 4 0
2 4 3
4 3 0
3 0 1
0 4 2
4 3 2
4 3 4
0 2 1
1 3 0
10 5
1 1 0
4 2 1
0 0 0
1 3 2
1 4 4
1 4 0
1 1 2
2 2 0
4 4 3
2 4 4
10 8
1 2 1
0 3 3
2 3 2
2 4 3
4 3 4
2 2 4
4 0 1
4 0 3
2 1 4
1 4 0
10 6
2 0 1
0 2 1
3 2 3
0 3 2
0 0 1
2 0 2
1 2 3
3 0 1
0 0 2
2 1 2
10 8
1 3 1
1 3 5
1 2 3
0 0 5
3 0 4
4 0 2
3 2 3
0 1 3
3 4 4
0 0 2
10 8
0 2 2
0 2 0
2 1 0
0 1 0
2 2 2
1 0 0
1 1 0
0 1 1
1 1 1
2 2 0
10 9
2 4 4
3 3 4
2 4 2
3 1 3
0 1 1
4 4 0
3 2 1
3 2 0
4 0 1
4 4 1
10 2
2 1 3
1 2 2
1 2 1
2 3 1
0 3 0
0 1 3
1 3 0
1 3 2
3 1 2
1 3 3
10 3
2 2 2
0 2 1
0 0 0
0 0 2
2 0 0
0 1 1
1 2 1
2 0 1
2 1 2
2 0 2
10 5
2 2 2
2 0 2
0 2 2
1 1 0
0 0 1
2 0 0
0 1 0
0 0 2
2 1 2
2 1 0
10 2
1 2 3
1 2 0
0 3 3
2 0 3
3 3 1
0 2 1
2 0 2
2 2 0
2 2 1
1 2 2
10 6
5 2 2
1 3 1
5 1 0
1 2 3
4 5 3
3 4 3
2 2 2
1 3 3
0 0 1
1 0 4
10 3
1 4 3
1 0 3
4 0 2
3 3 3
0 0 2
1 4 1
2 0 1
3 1 1
1 0 4
1 1 3
10 9
0 2 3
4 4 2
2 0 3
1 3 0
3 0 0
2 4 2
0 1 2
0 1 0
0 1 4
2 1 0
10 7
5 0 2
5 2 4
1 4 3
3 2 2
4 0 3
3 3 2
3 0 2
2 0 0
5 3 4
1 0 2
10 4
2 4 1
3 1 3
3 4 1
0 4 5
3 3 0
4 0 3
0 2 0
0 2 4
5 4 3
2 2 0
10 9
0 3 4
1 0 3
3 2 3
0 5 3
3 0 5
1 3 3
1 3 1
5 1 0
1 2 2
0 3 0
10 5
5 0 5
1 3 2
4 4 0
5 2 4
2 4 4
3 3 1
1 5 5
2 5 2
1 5 0
2 3 4
10 4
2 1 1
3 0 3
1 3 0
2 2 2
1 2 3
1 0 2
0 2 1
2 0 2
1 2 2
0 1 0
10 7
2 2 2
0 1 2
1 2 3
1 2 0
0 2 3
3 3 1
2 1 3
1 0 2
3 1 1
0 1 1
10 8
1 2 2
1 2 0
0 1 0
2 1 0
0 2 2
2 2 1
0 2 0
1 0 1
2 0 1
0 0 2
10 2
1 0 0
0 2 0
2 2 2
1 2 2
1 2 0
3 0 0
2 1 2
3 2 1
2 3 0
1 2 1
10 6
1 3 1
0 1 2
1 0 3
1 4 4
1 3 2
4 2 0
0 2 3
0 0 4
0 0 3
0 2 1
10 7
4 5 3
4 2 4
1 3 3
2 5 0
4 5 0
3 3 3
1 1 4
2 4 1
4 1 4
0 2 4
10 5
0 2 0
0 2 2
0 2 1
0 0 1
1 1 1
1 1 0
1 0 2
2 2 1
0 1 1
2 0 2
10 6
2 1 1
0 1 2
1 3 1
1 2 3
3 2 0
2 0 3
2 3 0
0 2 3
2 3 1
2 2 3
10 9
5 3 1
5 5 4
1 2 0
2 4 4
0 5 2
3 3 1
0 4 2
5 0 3
2 2 0
2 1 2
10 4
2 1 0
1 1 1
1 0 2
2 0 1
2 1 2
2 2 2
1 1 0
2 0 0
1 0 1
0 1 1
10 7
4 0 5
1 2 2
1 3 1
0 2 2
1 3 2
0 1 0
4 2 1
1 4 2
5 5 1
0 5 2
10 3
0 2 2
0 0 2
1 0 1
1 0 2
0 1 0
2 1 2
0 1 1
1 2 2
0 2 1
1 1 2
10 4
2 2 0
2 1 2
1 1 1
0 0 3
0 0 1
0 3 0
1 0 1
1 0 3
3 2 1
3 3 2
10 8
4 0 0
4 3 0
2 0 4
0 3 0
1 2 1
3 3 0
1 0 1
3 3 4
0 3 1
3 2 0
10 8
2 2 4
2 3 0
0 0 2
4 1 4
0 2 3
0 4 4
2 1 4
0 3 1
0 0 3
3 1 1
10 2
2 2 0
0 0 1
0 1 2
1 0 2
0 1 0
1 1 1
1 2 2
1 0 1
0 2 1
1 2 1
10 2
0 4 4
3 3 0
1 3 1
5 2 5
3 4 1
2 0 0
0 3 5
4 2 0
2 4 5
0 3 1
10 5
1 2 2
1 0 2
1 1 0
0 2 1
2 1 2
2 0 1
2 1 1
0 2 0
0 0 1
1 0 1
10 8
2 2 3
2 4 2
2 3 0
3 1 1
1 5 5
2 1 5
1 3 1
2 4 4
3 0 4
2 4 1
10 8
2 2 1
1 3 1
1 3 3
1 2 3
0 1 1
3 2 3
0 3 0
2 0 2
2 1 0
2 2 3
10 2
0 0 1
1 1 3
0 1 0
2 0 2
3 1 3
0 3 2
1 2 0
1 1 1
1 1 0
3 2 1
10 4
3 5 3
3 4 3
2 1 1
1 4 4
5 3 2
0 0 4
3 3 4
3 1 5
1 2 1
3 0 2
10 8
1 2 1
1 1 0
0 2 1
2 2 1
2 0 0
0 0 1
0 0 2
1 0 2
0 0 0
2 2 0
10 9
3 2 0
0 1 0
2 1 3
1 2 3
0 2 3
3 2 1
3 0 0
3 3 2
3 1 2
2 2 2
10 5
0 0 2
3 2 2
3 2 0
0 2 0
1 3 0
1 0 2
3 1 0
2 3 1
2 2 2
1 3 3
10 5
2 3 0
1 3 1
2 2 2
1 2 1
0 1 0
1 0 1
3 0 3
0 2 0
1 1 1
1 2 2
10 3
3 1 5
5 1 1
0 4 2
3 4 5
5 5 2
5 0 2
4 5 5
4 2 0
3 0 5
5 0 3
10 8
2 1 2
2 2 2
1 1 0
0 1 2
0 3 1
2 1 1
2 0 1
3 1 2
0 3 2
0 3 3
10 2
3 2 2
1 2 3
3 4 4
0 1 3
1 0 1
4 1 0
1 1 3
2 1 0
0 1 0
3 1 2
10 3
3 3 1
3 1 1
3 1 2
1 0 1
1 0 0
1 1 0
2 3 0
3 0 0
2 0 1
1 1 1
10 6
0 2 3
2 1 0
0 0 1
2 1 2
1 2 4
4 5 3
2 0 0
0 4 3
3 4 2
3 5 1
10 9
5 2 1
5 0 3
0 3 5
0 5 2
2 5 1
3 0 1
1 0 5
2 1 2
2 5 4
5 0 0
10 2
2 2 4
2 1 0
4 3 2
4 1 1
0 3 3
1 2 3
1 4 1
2 3 1
3 4 1
1 3 4
10 4
4 2 2
3 1 4
2 0 4
1 3 2
3 4 4
0 1 4
2 4 3
4 4 2
2 2 0
4 4 4
10 5
0 5 0
5 3 1
2 5 1
1 2 3
2 4 1
4 0 0
2 0 2
3 0 5
3 1 3
0 1 1
10 3
0 2 2
1 0 0
0 3 0
0 0 2
2 0 0
0 1 0
1 0 3
3 2 1
3 0 2
2 0 1
10 2
4 2 2
1 3 3
3 2 2
0 1 4
3 3 2
1 2 0
1 3 2
3 2 0
2 3 4
0 4 0
10 3
1 1 2
1 1 0
0 1 1
0 2 2
2 1 1
2 0 1
2 2 0
2 0 2
1 2 0
1 1 1
10 9
2 1 2
1 1 0
2 1 1
3 0 2
3 0 0
0 3 0
0 0 3
3 2 1
3 1 0
0 1 3
10 7
3 2 0
0 0 3
3 0 2
2 0 2
0 1 2
2 3 3
1 3 1
3 1 3
1 1 2
0 2 0
10 7
0 0 0
0 0 1
1 2 1
2 0 1
2 1 0
2 0 2
1 0 0
1 1 2
1 2 0
2 1 1
10 6
2 2 0
3 0 2
1 2 2
3 3 3
1 2 3
0 1 2
0 1 1
1 1 1
0 1 3
0 0 2
10 6
0 2 0
2 1 2
1 0 1
2 0 2
0 0 0
2 1 0
1 0 0
2 0 1
1 0 2
1 1 2
10 7
0 0 1
1 2 3
2 3 1
0 1 2
1 1 0
1 2 2
2 3 0
1 2 1
3 1 3
3 1 0
10 9
5 0 1
2 3 2
2 2 2
1 1 2
3 0 0
0 5 2
0 1 3
0 3 0
1 5 1
2 2 3
10 7
3 4 0
4 4 0
2 2 1
4 1 1
0 3 1
2 3 2
0 2 3
2 1 2
4 0 4
4 3 1
10 8
2 1 1
2 1 2
2 2 0
1 0 2
0 0 2
0 0 0
2 0 2
1 1 1
1 2 0
0 1 1
10 5
0 1 1
2 1 2
1 0 1
1 0 0
2 2 2
0 0 2
1 1 1
0 0 1
2 0 2
1 0 2
10 6
0 4 0
3 4 0
1 3 1
0 2 2
2 2 0
1 3 3
4 1 0
4 3 0
2 0 4
2 3 0
10 9
2 0 0
1 1 1
1 3 1
2 0 2
0 1 0
2 1 1
0 2 3
0 3 1
3 2 3
1 2 0
10 5
0 3 3
4 3 2
0 0 2
4 4 3
4 0 3
4 4 4
0 3 4
2 4 3
3 0 2
1 0 1
10 3
0 2 1
0 1 0
0 0 2
2 1 0
1 1 0
0 0 0
1 0 1
1 1 1
0 0 1
2 0 2
10 7
3 5 4
4 0 1
0 1 4
2 3 5
0 0 2
5 0 2
3 5 5
2 4 5
3 1 0
0 3 2
10 8
2 1 1
1 2 0
0 3 0
3 2 3
3 3 0
1 3 1
0 3 1
2 0 0
1 1 1
0 2 1
10 2
1 2 1
1 2 0
1 0 3
3 3 3
2 3 1
2 2 3
2 0 2
3 1 1
3 2 3
2 2 0
10 7
0 1 4
1 4 4
1 3 4
3 1 0
4 0 4
2 1 1
4 0 0
1 0 4
1 3 1
3 3 2
10 8
0 1 2
0 2 2
1 2 0
1 1 2
2 1 2
1 1 0
0 2 0
0 1 1
2 1 0
0 2 1
10 6
0 2 0
1 1 1
2 0 1
1 2 0
2 2 2
1 2 2
0 1 2
2 2 0
2 2 1
0 2 2
10 5
0 1 0
5 2 0
3 2 0
1 1 5
0 2 3
5 1 5
1 4 4
3 4 1
0 2 4
1 2 1
10 8
2 0 2
0 2 2
2 1 2
1 0 0
0 1 2
0 1 1
1 2 2
2 2 0
0 2 1
2 2 2
10 9
4 1 0
3 3 3
3 4 0
2 0 0
4 2 2
1 4 0
3 4 1
0 4 0
1 3 3
1 3 1
10 4
0 2 0
0 0 2
2 1 1
2 2 0
2 0 0
1 1 2
0 0 0
0 2 2
2 2 2
2 0 2
10 5
2 4 1
5 1 1
2 3 5
1 3 3
0 2 3
0 5 3
5 2 0
4 1 0
5 0 4
2 4 4
10 4
2 3 1
2 0 3
1 0 0
0 2 2
3 0 0
3 0 1
3 0 3
0 0 1
1 1 3
2 1 0
10 7
2 4 4
1 3 1
3 2 0
3 2 2
1 2 2
0 0 4
4 1 2
2 0 4
1 0 2
1 3 4
10 8
1 0 0
2 2 1
2 1 2
1 0 1
0 2 2
1 1 2
2 1 0
0 0 2
2 0 0
2 1 1
10 3
2 2 2
4 4 2
1 4 1
2 3 4
2 1 2
1 3 1
1 0 1
4 0 3
3 2 2
3 3 3
10 2
3 2 1
2 0 1
0 4 2
1 2 2
2 0 2
0 3 4
4 3 1
1 0 2
2 4 2
1 4 0
10 4
0 0 1
3 2 2
2 1 3
1 2 2
3 2 1
3 1 3
0 0 3
2 1 0
2 2 1
2 2 0
10 8
1 0 3
4 2 2
1 1 1
2 2 0
1 3 3
4 2 0
3 4 2
0 1 2
1 3 1
4 1 4
10 6
2 2 0
1 2 2
0 2 2
2 0 1
1 1 2
1 0 2
0 1 0
1 0 1
2 0 0
2 1 1
10 7
0 2 0
1 1 0
0 2 3
2 1 3
0 1 1
3 2 0
3 1 2
0 3 1
2 1 1
2 2 1
10 3
1 2 0
3 2 0
1 0 0
5 3 5
4 1 3
1 5 3
3 4 1
5 4 1
1 5 1
3 3 4
10 9
5 5 5
2 2 2
5 0 3
2 4 4
1 2 3
4 1 1
5 0 5
3 2 0
0 1 2
4 2 1
10 7
4 2 5
4 3 3
0 2 2
1 0 2
3 0 1
1 3 0
4 5 2
2 4 3
3 4 5
2 3 0
10 6
3 0 1
1 0 3
3 0 4
3 0 0
1 4 4
3 3 1
3 2 2
2 2 0
4 2 0
4 4 4
10 6
1 0 0
1 1 0
0 2 0
2 2 0
1 1 1
0 0 0
2 2 2
0 2 1
0 0 1
2 1 0
10 8
3 4 4
4 4 2
1 3 1
0 2 1
1 1 1
0 4 1
0 4 2
3 0 2
4 3 1
2 3 0
10 8
4 5 5
4 5 1
5 3 2
1 4 4
5 1 1
0 0 0
0 0 2
4 3 5
3 4 4
4 1 2
10 7
0 2 1
3 0 0
0 0 3
2 2 2
1 2 1
4 2 0
3 3 0
2 4 2
4 4 0
2 3 1
10 5
0 0 0
1 1 1
0 1 2
0 0 2
2 1 2
2 0 1
1 0 0
0 0 1
1 2 0
1 2 1
10 5
0 1 2
2 2 1
2 2 2
1 0 2
1 1 2
2 1 2
1 1 0
0 2 1
1 0 0
0 1 1
10 2
0 3 0
2 3 3
2 1 4
1 4 4
3 2 4
1 0 3
0 2 4
4 4 1
3 3 0
0 0 4
10 8
4 4 1
0 1 4
4 3 0
1 4 3
2 3 0
5 0 1
2 5 5
5 1 5
2 4 5
0 4 5
10 7
0 2 3
3 1 2
3 1 0
1 3 3
0 4 4
2 3 2
0 0 2
0 2 2
0 2 1
0 2 0
10 8
1 0 0
3 0 3
3 1 1
1 1 0
0 1 2
0 2 0
0 1 0
3 2 0
1 3 3
0 2 2
10 6
0 0 4
3 0 2
4 1 2
4 4 2
4 2 2
0 3 2
3 2 3
4 4 4
1 3 1
1 4 4
10 3
1 1 1
2 2 1
0 1 0
0 1 2
2 1 2
2 0 0
0 1 1
0 0 1
0 0 0
2 1 1
10 5
0 3 3
0 1 4
0 4 0
4 1 3
0 4 1
2 3 2
2 0 0
3 4 3
1 1 0
2 1 4
10 7
0 2 0
0 0 2
0 1 0
1 1 0
0 2 2
2 1 0
2 0 0
1 0 1
2 1 2
0 1 1
10 9
0 2 1
2 4 1
2 4 4
2 3 0
0 0 3
1 2 1
2 1 0
3 3 2
4 2 0
1 3 2
10 6
2 5 0
1 4 0
5 2 5
5 2 3
3 5 2
4 5 1
0 1 2
3 4 4
4 3 1
0 5 1
10 8
3 3 0
1 2 3
3 1 1
2 3 3
2 3 1
3 2 1
0 2 2
1 3 3
1 0 0
1 2 1
10 4
1 3 3
2 2 1
1 3 0
0 3 1
1 2 0
2 1 0
0 3 2
3 2 1
3 2 3
2 3 2
10 3
0 2 1
0 1 3
3 1 2
1 2 2
2 3 2
1 2 1
3 3 1
1 1 0
3 3 3
0 0 3
10 7
2 2 2
2 0 1
2 3 3
0 0 3
1 1 3
3 3 2
1 1 1
3 3 0
2 2 0
3 2 2
10 5
0 2 1
0 0 3
2 1 0
0 1 2
2 1 2
2 2 3
1 3 1
3 3 1
1 1 3
0 2 3
10 6
0 1 1
0 1 0
1 2 2
0 2 2
0 0 1
1 1 0
2 0 2
1 2 1
2 2 1
1 0 2
10 4
1 0 2
0 2 0
3 2 3
3 3 3
3 3 1
2 1 0
3 0 3
1 3 0
1 2 0
1 2 1
10 5
1 3 3
5 4 3
3 1 1
1 4 2
5 2 4
2 2 2
2 0 0
1 4 1
5 3 3
4 2 1
10 7
0 0 2
2 0 3
1 0 2
1 0 1
0 3 0
2 1 1
2 0 1
1 2 0
3 3 3
2 3 3
10 7
1 3 4
1 5 3
1 3 1
1 1 0
3 4 3
1 4 4
3 2 4
1 3 5
1 1 3
5 3 1
10 3
4 5 4
5 0 2
3 1 4
1 4 0
0 2 3
0 0 4
0 4 2
5 4 3
4 1 5
4 1 0
10 8
0 1 2
2 1 2
2 2 1
2 0 0
0 2 2
1 1 1
1 2 0
2 0 1
1 1 2
0 2 1
10 7
0 1 1
0 0 2
2 0 1
2 0 2
2 2 2
0 1 2
1 0 1
2 1 0
2 2 0
0 1 0
10 2
0 1 2
2 0 1
1 5 3
4 3 1
2 2 5
1 4 3
2 0 4
3 4 0
3 0 0
1 1 4
10 5
1 0 0
1 1 0
3 0 3
2 2 2
3 2 3
0 0 1
2 2 1
3 1 2
0 0 2
0 1 3
10 4
1 2 2
1 2 1
0 2 1
0 2 0
1 1 2
0 0 1
2 0 0
1 1 0
2 1 1
1 0 0
10 9
2 1 2
1 0 3
1 3 2
2 0 1
0 2 1
2 3 2
0 1 1
1 2 1
0 1 0
2 0 2
10 3
3 1 1
1 0 1
1 2 1
3 3 1
2 3 1
0 0 2
0 2 1
1 3 1
1 3 2
2 2 0
10 7
0 3 0
3 1 2
3 4 4
0 5 5
1 0 5
3 2 4
5 5 1
1 4 4
2 3 3
3 4 3
10 7
1 0 0
2 2 3
1 2 3
0 1 2
0 1 1
2 1 1
3 3 1
3 2 2
3 2 1
3 0 1
10 7
0 3 3
3 1 1
3 3 0
3 2 3
0 2 0
2 1 2
3 3 2
2 3 2
0 3 1
3 2 2
10 3
1 1 3
2 2 0
2 2 3
0 1 0
3 3 0
2 3 0
3 2 3
3 2 1
0 0 1
1 0 1
10 7
0 1 2
2 0 1
2 2 1
0 0 2
2 1 2
2 0 2
0 2 0
2 1 0
0 2 1
2 1 1
10 4
1 1 3
1 3 2
3 0 0
4 3 0
2 3 4
2 4 2
1 4 1
4 1 3
1 3 0
3 3 2
10 6
0 2 0
3 3 2
1 2 1
0 1 3
2 3 3
0 3 3
0 0 1
1 2 0
1 3 0
1 0 2
10 2
3 2 5
2 4 5
1 2 3
5 5 5
5 2 5
5 5 4
1 0 3
0 5 5
2 1 2
1 2 4
10 3
2 3 1
2 1 2
0 3 0
0 1 0
0 0 0
0 2 3
3 1 1
3 0 0
2 3 2
0 0 1
10 7
0 2 0
3 3 3
3 1 3
0 0 3
3 2 3
3 3 2
3 2 2
0 3 1
1 3 2
1 0 3
10 6
1 2 3
4 2 3
2 3 1
2 1 1
1 1 0
4 1 4
4 0 1
3 3 1
4 3 2
0 2 3
10 4
0 2 0
2 0 5
5 1 5
5 2 0
1 5 3
1 2 0
2 3 5
5 4 1
2 4 5
5 5 5
10 3
3 4 5
3 3 4
2 0 3
3 3 2
4 3 1
0 5 3
1 1 1
2 3 4
4 5 5
2 3 1
10 6
2 3 0
0 3 2
3 2 1
2 2 1
1 1 2
0 1 3
0 0 3
2 0 1
2 3 2
1 3 3
10 5
4 0 4
2 1 3
1 2 2
2 1 1
3 0 0
1 3 4
0 1 1
4 0 2
1 4 4
0 2 4
10 4
0 0 0
3 0 2
2 0 1
1 0 1
2 3 0
2 1 1
2 2 0
2 2 1
3 0 1
1 0 2
10 8
3 0 2
0 1 3
2 1 1
2 2 2
2 3 0
3 1 3
3 3 3
0 2 3
0 2 2
0 1 0
10 3
2 0 1
0 2 2
0 0 1
2 1 1
0 1 0
1 1 0
0 0 2
2 1 2
1 0 0
0 1 2
10 8
2 1 1
2 0 0
2 0 1
0 1 1
1 0 2
0 1 2
2 2 0
0 2 1
1 0 0
0 2 2
10 2
2 2 2
2 2 0
0 0 2
1 1 1
1 2 1
2 2 1
2 1 0
0 1 1
0 2 2
2 1 2
10 6
3 1 3
1 5 3
3 4 5
2 5 0
3 2 5
1 0 3
3 5 4
4 1 2
0 2 4
1 1 4
10 8
0 0 0
0 0 2
2 2 0
2 1 1
2 0 1
0 2 2
1 1 0
1 2 0
0 2 1
1 2 1
10 2
0 2 0
3 1 1
0 2 2
2 1 0
1 1 2
2 1 3
2 3 2
1 1 0
0 0 1
0 0 3
10 9
2 2 0
0 2 2
0 2 0
2 2 2
2 0 0
1 1 2
0 1 2
1 1 0
0 0 2
0 1 0
10 5
1 1 0
1 0 0
0 2 1
0 0 2
2 2 1
0 2 2
1 1 2
1 0 2
2 1 2
1 2 0
10 9
0 1 0
1 0 2
2 2 1
2 0 1
1 1 1
1 2 1
0 0 2
2 1 2
0 2 2
2 2 0
10 8
0 2 0
2 0 0
0 1 1
1 0 1
1 2 0
2 1 0
2 2 1
2 2 0
1 0 2
0 0 2
10 9
2 0 0
3 2 0
2 1 0
0 0 0
2 0 3
0 0 3
0 1 1
3 0 1
0 1 2
3 2 1
10 7
0 0 2
1 0 1
0 1 2
2 2 0
1 1 2
2 0 2
1 0 2
2 2 1
0 1 0
2 1 0
10 5
1 2 2
4 0 2
1 1 4
4 3 1
2 1 1
3 3 2
1 1 3
4 0 4
2 1 4
1 0 2
10 2
0 2 2
0 0 1
0 2 1
2 1 1
0 1 0
1 2 1
1 1 1
2 1 0
1 1 2
1 0 2
10 7
1 2 0
3 1 1
1 2 2
0 3 0
2 2 2
2 1 2
0 1 0
4 4 0
3 4 4
4 3 1
10 7
2 4 1
1 3 0
3 3 5
0 1 4
3 0 5
1 1 1
2 3 5
3 0 1
2 1 4
5 5 2
10 2
5 5 0
5 2 0
3 2 4
2 0 1
0 0 1
5 0 5
3 0 2
3 1 0
2 3 5
5 4 5
10 2
0 1 3
2 2 1
2 3 0
1 3 1
3 0 0
1 3 0
3 1 1
4 3 2
0 3 0
4 2 0
10 5
1 0 0
0 1 2
2 2 2
0 0 1
2 0 1
1 1 0
2 1 1
0 0 0
0 2 0
2 1 0
10 2
0 3 2
1 1 1
0 1 0
1 2 2
2 0 2
1 1 2
2 0 3
1 3 1
0 0 1
1 3 3
10 8
0 0 2
2 0 3
4 0 2
3 4 2
2 0 0
1 2 0
0 4 1
2 0 1
2 1 4
4 1 2
10 7
1 0 2
0 1 2
3 1 2
2 2 1
3 2 1
1 1 2
0 2 0
2 1 1
2 2 3
3 1 1
10 9
1 0 5
1 2 0
3 5 0
3 1 5
3 2 4
1 4 3
0 4 5
0 0 2
0 1 2
4 4 1
10 4
0 1 1
2 0 2
3 0 0
2 2 1
3 2 1
3 1 0
3 1 3
0 2 1
1 0 1
4 0 1
10 7
2 0 0
2 2 0
0 0 0
1 2 2
0 2 0
2 0 1
2 1 0
1 1 0
2 2 2
1 0 1
10 8
1 0 0
1 2 0
0 0 2
0 2 1
2 0 2
1 1 2
1 0 2
0 1 0
0 0 0
2 1 2
10 4
2 2 2
0 1 3
2 1 0
0 3 0
2 0 3
3 1 3
2 1 3
2 1 2
2 3 1
0 2 3
10 6
2 3 0
1 1 2
1 3 2
3 4 0
1 4 2
2 3 1
4 2 2
3 2 4
0 1 2
4 2 4
10 6
0 1 0
1 0 0
2 1 2
3 2 1
4 0 0
4 3 2
5 2 1
4 5 5
2 4 4
4 4 1
10 4
0 2 2
4 4 5
2 0 3
3 2 4
3 1 3
4 1 0
1 3 1
0 0 0
2 1 5
3 3 0
10 9
1 1 2
2 1 1
2 0 1
0 3 3
1 3 2
0 0 3
3 3 1
2 1 3
2 3 2
2 2 0
10 9
0 1 1
2 0 2
0 2 0
2 2 0
0 0 2
2 2 1
2 1 0
2 2 2
0 0 0
1 0 1
10 4
1 1 3
0 0 3
3 0 2
3 2 4
4 1 4
1 2 2
1 0 4
4 3 2
4 4 2
1 1 0
10 2
0 0 1
1 2 1
0 3 0
1 2 2
3 1 1
0 0 2
2 0 0
2 3 0
3 2 1
3 2 0
10 4
1 3 3
2 3 0
3 0 2
1 1 1
1 1 3
1 1 2
2 1 3
1 0 3
2 0 2
3 3 1
10 8
1 2 1
0 1 2
3 3 2
1 3 3
1 2 3
1 1 3
2 0 2
1 0 2
3 3 3
3 0 0
10 9
5 0 0
1 4 3
2 3 2
3 0 2
3 5 2
2 0 2
5 3 5
0 2 4
4 3 5
3 4 4
10 2
0 0 3
0 4 3
2 4 2
2 3 3
4 3 2
3 0 1
2 0 2
5 4 0
2 3 2
0 1 4
10 7
1 0 1
0 0 1
1 0 0
0 0 0
2 2 1
1 1 0
2 0 1
2 0 2
0 1 2
1 1 2
10 6
0 1 0
2 1 0
1 2 0
0 0 2
0 0 0
0 2 0
0 2 1
1 2 2
2 2 1
1 1 2
10 2
1 4 1
2 3 4
3 3 0
3 3 3
1 3 2
2 3 3
4 2 4
4 0 0
2 2 2
3 0 4
10 9
1 2 3
3 2 4
2 0 2
0 2 2
3 0 3
0 2 3
3 2 1
3 0 4
1 1 1
2 2 4
10 2
1 3 4
3 3 3
3 5 1
3 5 5
3 4 5
0 4 4
5 3 4
1 1 1
2 1 3
5 4 0
10 5
5 0 1
3 3 0
5 1 3
3 4 5
0 0 5
0 3 1
4 2 4
4 0 4
5 5 4
4 4 5
10 4
1 0 0
0 0 0
2 2 1
0 1 0
0 1 2
2 0 2
1 2 2
2 0 0
1 0 2
1 2 1
10 2
5 5 5
2 3 3
1 5 5
4 1 4
1 5 2
5 0 3
4 3 2
5 3 2
2 2 3
4 2 2
10 6
4 4 1
4 0 2
0 0 0
2 1 3
1 0 3
4 2 2
1 2 4
0 1 1
2 3 2
3 4 4
10 3
1 2 0
2 1 1
0 2 2
2 0 0
0 0 0
0 0 1
1 2 2
2 0 2
2 2 1
0 2 0
10 7
0 1 0
2 0 1
2 1 0
1 1 0
2 1 1
0 0 2
0 1 2
1 0 0
1 0 1
2 2 1
10 2
3 2 1
2 1 2
2 3 0
1 2 0
1 3 3
3 3 0
0 0 3
2 1 1
1 0 3
2 0 0
10 6
0 2 1
3 3 3
1 2 3
0 1 3
1 2 1
2 2 1
2 1 2
1 0 0
3 1 0
2 0 3
10 7
0 4 2
3 0 3
4 0 4
0 1 2
4 1 3
2 3 3
0 2 1
4 3 2
3 2 0
0 2 4
10 2
2 0 0
2 2 0
1 0 0
1 1 1
0 2 2
2 2 2
2 0 2
1 1 2
0 0 2
0 1 2
10 8
0 3 1
2 5 2
0 5 1
2 4 1
1 4 5
4 5 3
2 2 2
3 5 2
0 0 4
1 3 4
10 7
0 1 2
2 3 1
0 2 3
2 3 2
3 0 3
0 1 0
0 0 3
0 3 3
3 1 2
2 2 3
10 6
3 2 3
1 2 2
1 1 1
1 3 3
1 3 2
3 1 2
3 3 3
3 0 1
1 1 3
2 3 0
10 8
0 4 2
1 1 2
0 1 0
4 4 3
2 2 4
3 4 4
3 4 0
3 0 3
3 0 1
0 4 3
10 8
2 0 0
0 1 2
2 0 2
1 1 1
0 0 0
1 0 2
1 2 2
0 0 2
2 0 1
2 1 0
10 9
0 0 2
1 0 2
0 1 1
0 2 2
2 1 1
2 1 2
1 1 1
1 2 0
2 1 0
1 2 1
10 5
4 4 4
3 1 2
4 2 0
4 3 3
1 3 3
2 4 2
4 4 3
4 0 4
0 0 1
2 1 0
10 3
3 0 5
3 5 2
1 2 0
4 4 2
3 5 3
3 1 1
0 3 3
5 2 5
1 5 5
0 5 4
10 6
0 1 0
2 0 1
2 1 0
2 2 0
2 0 0
0 1 2
1 1 2
2 2 2
1 0 1
2 1 1
10 5
3 1 2
1 3 1
2 0 1
0 1 3
3 0 0
1 3 3
0 0 0
0 2 3
0 2 0
3 3 3
10 5
2 2 1
1 0 0
1 2 2
1 2 0
0 1 1
2 0 1
2 0 0
1 0 1
0 0 2
2 1 0
10 4
4 0 5
3 5 4
3 2 5
5 3 2
4 4 5
4 2 2
3 1 4
0 4 4
1 0 5
1 0 4
10 3
2 1 3
1 3 3
0 0 0
2 1 2
3 1 1
2 1 1
1 0 1
2 0 3
1 1 2
3 1 3
10 7
2 3 4
2 3 0
1 4 3
1 3 4
1 3 1
4 4 4
2 3 1
4 0 3
1 1 3
3 1 2
10 5
1 1 3
1 3 3
2 3 1
0 3 3
2 0 1
0 3 0
1 0 2
3 0 3
3 0 2
3 1 3
10 2
1 2 2
0 1 2
0 2 2
0 2 1
2 1 0
2 2 1
2 2 0
1 1 2
0 1 0
2 0 0
10 5
0 0 3
4 1 4
1 1 0
3 3 3
0 1 2
0 2 4
1 4 2
2 3 2
4 0 1
4 4 2
10 8
2 1 5
3 4 1
0 2 3
4 3 1
4 5 3
3 3 3
1 4 2
4 2 0
4 2 3
5 1 0
10 7
1 1 1
0 0 0
1 0 2
2 2 1
1 2 2
1 1 0
0 1 1
0 2 1
2 1 1
2 1 0
10 8
5 3 3
5 3 2
1 5 1
1 0 0
3 4 3
4 2 0
2 0 1
1 4 5
3 4 5
1 4 2
10 4
1 1 0
1 0 0
1 2 1
1 2 0
0 0 2
0 1 1
2 0 0
0 0 1
1 1 1
0 1 2
10 9
5 2 0
2 2 0
5 5 3
5 4 3
0 1 4
0 0 1
3 2 2
2 1 0
4 2 3
2 3 5
10 6
0 0 1
2 2 2
0 2 2
0 2 0
1 0 1
2 0 1
0 1 0
1 0 2
2 1 0
0 1 2
10 3
2 3 3
3 3 3
0 1 1
3 2 2
1 2 3
0 0 0
0 0 3
2 3 2
1 2 0
2 0 1
10 8
0 1 2
4 1 0
1 2 0
1 2 1
2 3 2
4 1 3
1 1 4
4 0 4
3 0 4
4 0 1
10 7
1 5 3
3 2 4
0 5 5
2 0 2
4 1 5
5 1 5
4 2 5
1 0 1
3 4 1
5 2 4
10 9
2 2 3
1 3 2
3 2 2
1 2 3
3 2 3
2 1 2
2 2 2
2 0 3
3 2 1
1 0 1
10 4
5 0 5
3 1 4
5 1 3
4 2 0
0 1 4
2 5 2
0 3 2
2 5 1
4 1 0
2 5 5
10 8
2 0 2
1 2 1
3 3 1
2 2 3
1 0 2
0 0 0
3 1 1
3 3 0
2 3 2
1 2 3
10 2
2 4 3
4 1 2
1 4 3
3 3 3
0 4 0
0 0 3
1 2 1
4 3 4
4 3 3
0 4 3
10 3
2 2 2
1 0 0
1 0 2
0 1 2
1 1 0
2 0 1
1 0 1
1 1 1
2 2 1
0 1 0
10 2
1 3 2
3 2 0
1 3 1
0 0 0
0 2 2
2 3 1
3 3 3
2 0 1
3 2 2
3 1 1
10 9
2 3 4
0 2 5
2 4 2
4 5 2
3 1 5
3 0 5
1 2 4
4 0 2
1 0 1
4 4 5
10 3
0 2 1
3 3 0
1 1 2
0 4 3
1 2 4
2 4 2
3 3 2
4 3 2
1 1 1
4 4 3
10 8
2 2 1
1 2 2
1 2 1
2 0 2
2 0 1
2 0 0
0 2 2
2 2 2
0 1 2
2 1 2
10 9
4 5 5
1 4 4
4 3 5
5 1 2
3 0 5
1 3 4
0 0 2
2 1 4
2 0 0
1 0 3
10 9
2 3 1
3 2 3
2 1 0
3 2 4
1 2 0
0 0 4
0 4 4
1 4 2
3 2 1
4 0 4
10 7
1 1 1
2 4 0
3 0 1
5 5 5
1 0 5
5 4 2
3 1 3
3 5 5
3 4 3
1 2 3
10 3
3 1 0
4 1 1
0 1 4
2 3 0
4 0 1
2 3 2
1 0 1
0 3 1
1 2 3
2 0 1
10 9
5 5 3
0 5 2
0 3 0
1 4 0
3 1 1
4 5 3
0 3 4
5 1 5
5 4 3
2 5 0
10 5
3 2 3
2 2 3
0 2 0
3 1 3
3 2 2
1 3 3
3 3 1
2 1 1
3 1 0
3 2 1
10 2
0 4 1
4 4 2
0 1 1
4 1 0
1 1 4
4 3 4
2 1 2
0 3 2
4 3 2
2 2 0
10 8
2 0 0
0 0 0
1 1 1
0 2 1
1 0 0
0 1 2
1 2 0
2 1 0
1 0 1
2 1 2
10 7
1 1 1
2 1 0
1 0 0
1 1 0
2 1 2
1 1 2
0 0 0
2 0 2
1 0 1
1 0 2
10 5
1 3 5
2 0 4
4 3 2
0 0 3
1 5 5
3 2 0
2 2 3
2 2 0
3 5 3
1 4 5
10 7
4 5 4
1 0 1
4 4 1
5 2 1
3 4 2
1 4 4
5 5 3
0 2 3
1 3 0
3 1 4
10 4
2 1 1
2 1 0
4 3 2
2 0 4
1 2 0
1 4 4
0 0 0
1 1 0
3 4 4
0 4 1
10 9
4 2 0
4 1 3
1 3 3
4 3 0
3 4 4
0 2 2
1 0 3
1 2 1
0 3 2
1 2 3
10 7
1 3 5
3 2 2
4 0 0
0 5 4
4 3 4
4 4 2
4 1 1
1 1 5
3 1 3
0 1 4
10 8
1 1 0
1 1 2
0 1 1
1 0 0
2 0 0
1 2 2
1 0 1
1 2 1
0 2 2
0 0 1
10 3
1 4 2
3 1 1
5 4 4
1 1 4
1 1 2
5 1 2
1 5 1
1 4 1
3 3 5
4 4 3
10 5
2 1 2
2 3 0
3 0 3
3 0 1
3 1 0
3 2 0
2 1 0
2 0 0
3 3 0
3 1 1
10 5
3 0 1
0 1 0
2 0 3
3 1 2
1 0 2
0 3 2
1 1 3
0 2 2
2 1 2
0 2 0
10 8
1 0 3
2 0 1
0 0 1
0 0 2
1 0 1
1 2 3
1 3 3
0 2 1
2 2 2
0 3 1
10 6
2 1 2
0 3 3
3 3 1
2 4 0
4 4 0
3 1 3
4 2 2
1 4 2
1 2 1
0 5 1
10 9
0 4 0
0 2 0
3 3 1
1 2 2
4 3 4
2 2 0
0 1 2
1 1 2
4 3 0
0 1 0
10 6
0 0 4
1 1 4
1 0 1
2 2 3
0 1 4
3 0 2
0 4 4
1 0 0
3 1 2
4 3 3
10 4
1 2 5
0 2 0
0 5 2
2 5 1
3 3 4
4 2 4
1 3 5
3 0 5
3 4 4
4 5 5
10 6
4 2 2
1 1 4
3 2 0
2 4 1
3 4 2
4 0 4
3 3 4
0 0 3
2 2 2
3 3 0
10 5
0 5 5
2 0 5
4 1 1
1 2 0
0 1 3
4 3 4
1 4 0
4 0 4
0 5 1
0 1 0
10 3
3 3 2
0 2 3
0 3 2
3 1 3
0 3 3
3 3 0
3 0 3
1 1 1
2 0 3
1 3 0
10 7
4 3 1
4 4 3
4 4 0
0 1 4
2 2 1
0 4 3
1 3 0
1 0 3
1 0 1
0 4 4
10 5
1 1 3
3 3 2
0 4 1
0 1 4
4 3 1
4 2 0
2 4 0
2 0 3
1 4 4
0 0 0
10 8
0 0 3
3 2 0
2 2 3
0 0 0
2 1 3
2 0 1
3 1 0
1 3 0
0 1 2
1 2 1
10 6
0 1 1
2 3 2
3 1 3
0 2 0
3 3 2
1 3 3
1 2 1
1 2 2
3 0 3
1 3 1
10 6
1 2 2
2 0 2
1 1 0
0 2 0
0 0 2
1 2 1
2 2 2
0 0 0
1 1 2
1 0 0
10 4
0 2 2
2 2 0
1 0 2
0 1 2
0 0 2
2 0 2
1 2 2
0 2 0
0 0 1
2 1 1
10 3
1 2 0
3 3 0
0 0 3
3 1 1
2 0 3
2 0 0
1 1 3
3 0 2
1 1 0
0 0 0
10 6
0 3 3
4 3 4
4 2 3
0 1 3
2 1 0
3 2 0
0 2 2
0 0 2
3 2 4
3 3 4
10 9
3 0 0
1 4 3
0 4 4
3 5 4
1 2 0
5 3 2
1 2 3
1 0 2
5 1 1
3 2 5
10 5
1 3 2
1 1 0
0 2 2
0 3 2
3 0 2
2 0 2
0 0 1
1 0 0
1 2 3
0 0 2
10 6
2 2 2
0 0 0
1 2 0
1 2 1
0 1 1
0 0 1
1 0 1
1 2 2
1 1 2
0 2 0
10 3
2 2 1
2 0 1
2 1 1
0 2 2
2 0 2
0 2 0
1 2 0
1 1 1
1 2 1
1 0 1
10 7
4 5 3
0 3 4
3 5 0
0 0 5
5 0 5
3 3 4
1 0 0
2 2 4
1 4 5
3 3 0
10 3
1 3 2
2 0 2
2 3 1
2 2 3
3 3 0
0 0 3
2 4 3
2 0 0
1 3 0
0 4 2
10 7
3 3 3
0 1 0
3 0 3
1 3 3
2 0 0
2 0 2
1 2 1
2 3 0
3 2 1
1 2 0
10 2
0 3 0
2 2 0
2 3 1
3 1 0
0 1 0
3 1 1
2 0 2
1 2 2
0 3 3
1 0 2
10 7
3 0 1
2 1 0
2 3 3
0 1 2
1 2 2
1 0 1
2 2 0
0 1 1
1 0 0
3 2 1
10 6
3 0 1
3 3 0
1 3 3
0 0 2
2 1 2
2 2 0
3 0 0
2 3 0
0 3 2
3 2 3
10 6
3 1 0
4 2 1
3 0 3
0 2 1
3 4 4
3 4 0
0 2 4
2 0 2
0 2 0
1 4 0
10 5
0 3 3
0 1 2
2 0 2
0 1 3
3 0 4
3 1 3
1 1 2
0 2 3
3 2 0
3 2 3
10 7
0 3 4
5 1 2
0 5 0
0 0 5
0 2 3
3 4 4
2 1 5
2 2 1
2 2 0
3 4 5
10 8
0 0 0
1 3 5
0 2 0
4 5 0
5 3 0
1 5 5
1 2 0
3 3 2
0 4 4
5 5 2
10 2
0 2 1
0 0 2
2 2 2
2 2 1
0 2 2
1 2 1
2 1 2
1 2 0
1 1 1
1 1 2
10 4
3 0 1
3 1 1
1 0 0
3 2 3
3 2 1
2 3 1
1 0 3
2 0 3
1 2 0
1 1 2
10 6
0 0 0
0 0 2
1 1 2
1 2 1
0 1 2
2 2 1
3 3 3
0 1 0
1 3 1
1 0 0
10 6
2 3 1
3 3 3
1 3 0
3 3 1
1 1 2
2 3 3
2 1 1
3 1 3
3 1 0
3 0 1
10 7
2 2 4
3 0 1
4 0 4
3 0 3
4 4 1
0 3 0
0 2 0
0 0 4
1 3 0
1 2 1
10 6
0 4 3
4 0 4
4 4 3
0 0 2
2 3 2
3 0 4
2 1 4
4 2 1
0 3 1
2 4 0
10 5
3 0 3
1 3 4
2 2 0
3 1 2
1 0 2
3 1 1
1 3 2
3 2 0
3 3 2
3 2 1
10 3
0 1 1
2 1 2
1 0 1
1 2 1
1 1 0
0 0 2
2 0 1
2 0 2
0 2 2
1 0 0
10 8
2 2 3
0 2 1
0 1 2
3 0 0
1 0 1
2 1 0
1 0 0
2 3 3
3 2 0
3 1 3
10 7
1 5 3
1 0 1
5 2 4
0 5 4
0 1 3
5 4 0
2 0 4
1 2 3
3 5 5
0 2 5
10 9
0 2 1
1 2 3
3 0 2
3 2 3
3 1 2
3 1 1
2 3 2
0 1 1
2 3 1
2 0 0
10 2
1 2 2
0 2 0
1 1 1
0 0 0
1 0 0
0 1 1
2 2 1
2 0 2
1 2 1
0 0 2
10 3
0 2 0
2 0 1
2 0 0
2 1 0
2 0 2
2 2 2
1 1 2
1 1 1
2 2 0
2 1 1
10 3
3 2 2
1 4 1
2 2 4
4 0 0
4 1 0
0 1 3
0 4 2
2 0 3
1 2 0
3 0 2
10 4
5 2 5
4 5 3
2 3 2
4 0 3
2 1 0
1 1 4
4 0 1
0 3 0
5 3 3
2 3 1
10 2
3 1 0
0 1 1
1 0 4
2 0 3
3 1 3
1 1 1
3 4 1
4 2 1
0 1 4
4 4 1
10 2
2 2 0
1 1 2
1 2 2
1 2 0
0 2 0
2 2 2
1 0 2
0 0 0
2 0 0
1 2 1
10 9
1 0 4
2 1 3
2 2 3
1 4 2
2 4 1
2 3 3
4 3 2
3 0 2
2 4 2
4 3 1
10 9
4 1 0
3 4 4
0 2 0
1 1 0
4 4 1
2 1 0
0 3 0
2 3 0
3 3 1
0 0 0
10 5
1 1 0
3 0 0
0 3 2
1 2 0
2 0 0
2 1 1
3 0 2
1 3 1
3 1 3
0 0 0
10 4
1 1 1
0 2 1
0 2 2
3 3 2
0 1 0
0 3 0
1 3 1
1 2 0
3 3 3
0 2 0
10 6
1 0 1
1 3 0
0 0 3
2 1 3
0 3 1
3 3 3
1 1 0
0 2 3
0 1 1
0 2 1
10 9
2 2 0
0 0 0
1 0 0
1 1 1
0 1 2
1 1 2
0 0 1
2 1 0
2 2 1
1 2 1
10 4
0 2 1
2 3 1
1 0 1
1 0 3
3 3 1
0 0 2
1 1 3
3 2 1
2 1 3
1 1 1
10 3
3 0 0
3 0 1
2 0 0
0 0 2
0 1 1
4 3 3
1 1 0
3 1 4
4 1 1
4 4 1
10 5
2 1 0
2 2 2
0 1 0
0 1 2
1 0 2
2 1 2
2 0 1
0 1 1
2 1 1
2 0 0
10 6
4 3 3
3 3 1
1 3 3
0 2 0
2 1 0
4 2 1
3 4 2
2 2 2
4 0 4
1 3 2
10 9
0 0 0
3 4 4
3 2 3
1 1 1
4 0 4
2 5 3
2 0 4
2 4 5
3 5 2
0 3 4
10 4
2 1 3
1 2 0
3 2 1
3 3 0
1 2 3
2 0 0
3 3 1
1 1 3
0 0 0
2 0 3
10 6
0 2 2
1 2 1
2 2 3
1 5 3
3 1 4
5 3 0
0 5 3
1 5 0
1 2 2
1 3 4
10 4
0 1 3
3 4 1
4 4 3
0 1 1
4 3 4
2 1 4
3 3 1
1 4 0
1 1 0
1 3 2
10 9
1 1 1
1 2 1
1 2 0
2 1 1
1 1 0
1 2 2
0 1 0
2 1 0
1 0 1
2 1 2
10 4
3 4 3
3 5 2
3 3 5
5 3 2
3 1 4
0 0 5
5 4 5
1 0 5
2 2 5
0 0 2
10 8
0 0 3
3 4 4
3 3 1
5 3 2
1 2 3
0 3 0
2 1 3
2 3 5
3 2 0
1 5 3
10 3
0 2 1
0 1 2
2 1 0
2 0 2
1 2 0
2 0 1
0 2 2
0 2 0
0 0 1
1 2 2
10 7
2 1 1
2 0 1
0 2 2
0 0 0
2 0 2
2 2 2
1 2 1
1 0 1
1 1 0
0 1 1
10 7
0 0 2
0 2 2
1 2 0
4 1 0
3 3 1
4 0 3
3 4 2
2 2 4
1 0 3
2 1 1
10 9
2 2 1
1 1 0
0 1 2
2 2 0
1 0 0
1 2 1
1 0 2
2 1 0
0 0 0
0 1 0
10 4
4 2 0
5 1 2
3 2 1
0 1 3
0 5 3
4 5 3
1 2 1
5 4 3
5 3 5
4 5 5
10 3
1 2 1
0 0 2
2 0 0
0 0 1
2 2 2
0 2 0
0 0 0
1 2 0
1 1 2
1 1 0
10 9
1 0 3
0 0 3
3 2 3
2 1 1
3 1 1
2 0 3
1 0 1
3 1 3
3 0 3
2 3 1
10 6
1 1 3
2 1 0
4 1 1
1 1 2
3 2 2
3 0 2
1 2 2
1 1 1
2 4 4
4 3 3
10 6
0 2 0
2 2 0
2 1 0
1 0 0
0 0 1
1 2 1
1 2 0
2 1 2
1 1 2
0 2 2
10 3
0 2 4
4 0 3
1 4 4
0 2 1
4 2 0
4 4 3
4 1 2
2 1 0
3 1 1
2 3 3
10 9
1 0 2
3 2 2
1 0 3
2 0 1
1 1 1
1 3 0
0 2 0
1 0 0
3 2 0
0 0 2
10 7
2 3 2
0 3 2
1 1 0
1 3 1
3 3 3
3 0 2
0 3 1
1 0 2
2 2 1
2 0 1
10 9
3 1 0
2 3 2
0 1 3
1 3 2
0 2 3
2 2 2
3 0 3
1 3 3
0 3 3
1 3 0
10 2
3 1 3
4 4 3
2 4 0
1 4 3
3 3 1
5 3 1
1 5 3
4 3 5
5 2 1
4 0 2
10 8
1 2 1
2 1 1
0 2 1
2 2 0
0 2 2
2 2 1
2 1 2
1 1 2
2 2 2
0 2 0
10 3
2 1 0
0 3 3
0 1 0
3 2 0
0 2 1
1 1 1
1 1 3
3 0 3
0 0 2
3 3 0
10 7
5 0 5
0 3 5
1 4 3
0 2 5
5 5 0
5 0 3
4 3 2
3 4 4
1 4 0
4 4 0
10 7
5 5 1
2 1 2
4 3 0
4 4 0
4 1 3
1 0 0
5 0 2
0 5 4
4 0 2
3 0 5
10 9
1 1 5
2 1 3
2 2 4
0 4 5
4 5 2
0 4 4
0 3 2
5 0 4
4 0 5
0 5 1
10 6
2 4 1
1 4 4
1 0 3
3 4 0
4 3 0
3 1 0
1 4 1
3 0 4
0 1 4
3 4 2
10 7
0 1 2
0 2 0
1 2 0
0 0 1
2 0 0
2 2 2
1 1 1
1 1 0
0 0 0
0 2 1
10 4
1 1 0
2 2 1
1 2 0
2 2 2
0 1 0
1 1 2
0 2 0
0 1 2
0 0 1
1 1 1
10 8
1 1 1
0 2 2
0 0 1
0 2 0
2 2 2
0 0 0
2 2 1
2 2 0
2 0 2
2 0 1
10 8
0 3 1
3 1 1
2 3 0
1 1 3
1 3 3
3 3 1
1 3 0
0 3 3
2 0 3
2 3 1
10 9
0 3 3
1 3 0
3 1 0
1 0 2
3 2 2
1 3 3
2 0 3
1 1 0
0 0 2
0 3 2
10 6
0 1 0
2 2 2
0 1 2
1 1 1
2 0 1
0 0 2
0 2 0
2 2 0
2 1 2
0 2 2
10 5
3 2 2
2 5 0
0 0 3
0 3 3
4 4 1
0 2 3
1 3 3
3 2 1
2 3 4
2 3 3
10 3
3 4 3
1 5 4
1 4 3
3 3 5
1 0 0
2 1 0
0 1 0
5 3 2
4 0 2
5 1 1
10 5
0 1 1
1 2 0
2 2 2
0 2 1
1 2 1
2 2 0
2 1 2
0 0 0
1 2 2
0 2 0
10 9
4 5 1
4 1 3
2 5 1
4 4 0
3 1 1
1 1 0
4 0 0
5 0 3
2 1 2
0 2 2
10 8
3 4 5
3 0 1
3 1 3
5 0 1
4 5 3
2 4 5
4 2 2
4 0 2
0 0 1
4 5 2
10 5
1 4 3
4 1 0
2 2 0
0 4 3
2 0 1
3 2 1
1 3 3
2 1 4
1 1 4
4 4 3
10 2
0 0 1
4 3 3
2 1 2
1 2 4
1 3 2
3 2 2
0 3 2
4 1 1
3 0 4
0 1 3
10 5
0 1 2
0 2 2
0 0 1
2 2 1
1 2 0
0 2 1
2 2 2
1 0 1
1 1 0
0 0 0
10 3
1 1 0
0 1 1
4 3 0
3 2 2
2 0 2
0 2 4
0 2 1
0 0 2
3 0 0
4 4 0
10 2
1 2 2
0 0 0
0 0 2
0 1 1
2 1 0
1 2 0
2 2 1
1 0 1
0 2 2
0 1 2
10 2
5 0 2
2 0 0
2 4 1
2 0 2
5 4 5
0 4 3
1 5 0
0 1 4
0 3 3
0 2 2
10 5
2 5 1
1 4 1
4 0 1
4 2 2
0 2 1
2 4 1
5 2 1
2 1 3
1 1 0
0 3 5
10 4
2 1 2
0 0 2
1 0 1
3 1 1
2 0 1
3 2 2
1 1 3
2 0 0
1 1 0
2 3 1
10 7
1 0 0
3 2 2
3 1 1
2 2 0
1 1 0
2 1 1
3 1 2
2 0 0
0 0 3
0 3 3
10 3
4 0 1
4 1 1
1 5 3
5 2 3
5 1 0
2 2 2
3 2 3
0 5 0
3 2 4
2 3 2
10 3
4 0 4
1 1 2
0 4 4
4 2 4
1 0 0
0 3 0
4 1 4
2 2 0
2 3 4
0 2 2
10 9
2 1 2
2 1 0
2 0 2
0 1 0
1 1 2
2 1 1
1 0 2
1 1 1
0 1 2
0 1 1
10 7
4 3 2
3 1 3
4 2 3
0 0 2
1 0 2
0 2 0
1 4 2
1 2 4
2 4 1
2 3 2
10 7
0 1 1
2 3 4
5 0 4
2 5 1
1 5 4
3 2 0
3 5 1
4 0 5
2 5 0
4 0 4
10 8
0 4 2
3 4 0
5 4 2
3 0 1
0 5 2
4 4 0
3 2 1
0 0 0
1 1 2
5 3 4
10 7
1 2 2
0 0 0
0 2 2
1 1 1
1 1 0
0 1 2
1 2 1
2 1 1
1 2 0
2 2 0
10 6
1 1 1
0 2 2
0 0 0
2 1 0
1 2 0
0 1 2
1 2 2
1 1 0
0 2 0
2 0 0
10 8
3 3 3
1 0 5
5 3 4
2 3 3
0 3 2
5 4 2
5 4 5
3 2 5
0 5 0
0 1 4
10 7
0 1 2
1 1 3
3 0 2
0 2 3
3 3 3
2 2 3
2 0 1
1 1 0
0 0 0
1 0 3
10 3
1 1 0
0 0 0
0 1 0
2 0 0
1 0 0
2 2 0
2 1 0
1 2 1
1 1 2
0 1 1
10 7
5 2 4
1 2 5
4 1 3
2 0 1
4 1 0
0 5 4
4 2 1
4 0 0
3 3 5
5 0 3
10 4
2 1 0
2 2 2
0 0 0
1 1 1
0 0 1
2 1 2
2 0 0
2 2 1
1 1 2
0 2 1
10 6
3 0 1
1 3 1
1 1 0
2 1 0
2 2 0
1 0 1
0 0 3
1 0 3
1 0 2
1 2 0
10 7
1 3 0
1 4 2
0 1 3
1 4 4
1 0 1
3 4 3
4 0 0
3 1 4
3 4 4
2 0 0
10 5
0 4 4
3 0 3
3 3 5
3 1 4
4 4 5
5 4 3
3 1 2
5 0 0
5 4 2
4 5 4
10 6
0 0 2
2 1 1
2 0 2
1 1 1
0 0 1
2 1 0
2 0 0
0 1 1
1 1 0
2 0 1
10 9
1 0 4
5 4 4
2 0 3
4 3 3
5 2 4
4 0 4
2 3 1
3 1 5
1 3 3
0 1 4
10 8
3 2 0
3 5 4
0 4 2
4 3 4
2 5 2
5 2 1
0 4 1
4 0 0
3 2 5
5 0 5
10 4
5 3 1
2 0 4
0 0 0
2 0 3
4 1 5
2 5 5
2 0 2
5 2 1
1 0 5
2 4 5
10 3
5 2 5
0 0 4
3 5 3
2 2 0
2 5 3
4 0 5
0 3 4
0 2 3
2 4 1
1 1 3
10 2
0 0 3
0 3 0
1 2 2
1 1 2
3 1 1
1 3 1
3 2 1
1 2 0
1 2 1
2 0 1
10 4
1 1 2
2 5 0
2 2 4
2 0 5
2 3 4
1 2 2
4 4 1
0 4 4
1 0 1
5 5 4
10 6
4 0 5
1 4 5
3 4 3
0 1 3
5 3 0
0 5 3
1 3 5
2 1 5
2 4 1
1 5 3
10 4
1 0 2
2 2 1
1 0 0
1 1 0
1 1 2
1 2 0
1 2 2
0 0 2
0 2 0
0 2 2
10 2
3 3 0
0 1 1
2 2 3
0 1 2
3 2 3
3 0 0
2 2 1
0 3 2
1 1 2
1 2 0
10 8
3 1 0
3 2 0
2 3 0
1 2 0
0 2 1
2 2 1
1 2 2
3 2 2
0 2 0
1 0 3
10 8
4 0 0
5 2 5
5 1 3
3 4 1
2 2 0
4 5 1
4 3 2
4 4 0
3 3 5
2 0 0
10 9
2 2 4
0 2 2
2 4 0
0 3 3
2 0 4
4 0 1
4 1 2
3 2 0
0 0 3
0 1 0
10 4
2 2 1
2 0 0
1 1 1
0 2 1
0 2 2
0 1 1
1 2 2
2 2 0
1 2 1
2 1 1
10 9
0 1 0
0 1 2
0 1 1
1 0 1
1 0 0
0 0 2
0 0 1
2 0 1
0 0 0
2 1 1
10 9
3 1 0
3 4 3
2 0 2
1 2 0
0 4 3
2 1 4
4 0 0
3 1 4
4 3 1
0 4 0
10 4
2 1 1
2 0 2
2 2 1
0 2 2
2 1 2
0 2 1
1 2 1
1 0 1
1 1 2
1 2 0
10 6
0 1 2
0 0 1
1 2 2
2 2 2
0 0 2
1 2 0
2 1 2
2 1 0
0 2 1
2 0 2
10 6
0 2 0
2 0 2
2 0 1
0 0 0
0 0 1
1 2 0
1 0 2
0 1 2
0 1 1
1 0 1
10 6
3 0 4
2 2 3
5 2 1
2 2 4
1 2 5
5 4 3
0 4 5
2 0 3
4 5 1
1 2 1
10 8
0 2 1
1 3 1
1 3 2
1 1 3
1 0 1
0 2 2
3 0 1
3 0 3
3 3 2
1 0 0
10 4
3 2 0
4 2 3
4 4 4
2 2 1
1 2 3
4 1 1
0 0 3
3 3 2
0 2 1
2 1 1
10 5
0 2 1
1 0 0
1 1 0
2 2 2
2 0 2
1 2 2
2 0 0
0 0 0
0 1 2
0 0 1
10 4
2 2 2
0 0 1
2 2 1
2 1 1
0 2 2
2 1 2
2 1 0
2 0 1
1 0 0
1 2 0
10 3
2 1 0
1 1 1
2 1 2
1 1 0
1 0 2
0 1 2
0 2 0
0 0 0
1 1 2
0 2 1
10 4
0 0 5
1 2 4
5 5 2
3 5 5
3 0 2
3 3 2
0 3 0
2 0 0
3 5 1
5 3 4
10 8
1 3 4
1 2 0
2 1 4
1 0 4
2 2 3
4 2 1
0 3 2
0 2 2
4 0 2
4 0 0
10 8
1 3 0
2 5 0
4 3 2
5 3 3
1 0 4
1 3 4
2 1 2
1 1 0
2 1 5
1 5 4
10 9
1 0 2
2 2 3
1 0 0
3 3 2
3 2 0
0 3 2
2 1 1
2 3 0
2 0 0
3 2 2
10 4
1 0 1
2 2 1
4 0 2
4 1 3
4 1 1
2 3 1
4 4 2
0 3 0
2 4 1
0 4 0
10 5
2 2 0
1 0 2
4 4 3
2 3 3
4 3 3
1 3 0
2 4 4
0 2 1
2 2 4
3 1 1
10 8
1 0 4
0 0 0
4 2 1
1 0 2
4 4 0
3 4 0
1 3 1
4 0 1
4 2 4
4 4 1
10 3
5 1 4
0 3 3
2 0 4
0 2 2
1 3 4
2 3 2
3 2 3
1 5 4
5 3 5
0 4 0
10 7
1 3 4
4 1 2
2 0 0
5 2 4
0 3 5
4 5 3
3 1 3
1 2 5
2 4 3
5 4 2
10 4
2 4 1
4 2 2
0 4 1
4 0 1
1 4 4
3 2 0
1 3 4
0 2 4
1 4 2
0 0 0
10 6
1 1 1
2 1 0
0 0 0
2 1 1
1 0 2
1 2 2
2 0 0
2 0 2
2 0 1
2 2 0
10 6
1 1 0
2 1 2
0 0 0
2 1 1
2 0 2
1 2 1
2 0 1
0 2 2
1 1 1
0 2 1
10 8
3 0 2
4 2 2
2 0 0
3 2 3
3 1 3
4 1 0
1 4 1
1 4 4
3 3 3
4 3 4
10 2
1 0 0
0 2 1
2 1 0
2 2 0
2 0 2
1 0 1
2 2 2
1 2 2
2 1 2
2 1 1
10 6
1 1 0
2 3 1
2 3 2
3 1 0
0 3 2
2 2 0
0 0 1
2 1 3
2 3 0
1 1 3
10 7
2 0 2
2 1 2
1 0 0
0 1 2
1 2 0
2 1 0
1 2 1
2 0 0
2 0 1
0 0 0
10 8
0 4 2
2 2 4
2 3 3
0 2 4
1 3 3
3 1 1
2 0 4
3 4 1
1 4 2
0 3 2
10 6
4 0 4
0 2 0
4 4 0
0 4 0
1 1 2
4 0 3
2 0 0
0 2 4
4 2 1
4 0 2
10 5
4 0 1
3 1 1
3 0 0
0 5 2
1 3 4
0 1 3
0 0 2
0 3 1
1 4 1
4 2 2
10 6
3 4 1
1 3 3
2 5 4
5 3 0
0 1 0
2 4 2
3 0 0
0 0 3
2 2 3
3 1 5
10 6
0 4 2
5 0 5
4 2 4
5 5 5
1 2 5
0 0 3
1 4 3
3 3 1
3 3 0
3 5 5
10 3
0 1 0
2 2 0
0 0 1
0 2 2
2 2 2
1 0 2
0 0 0
1 1 1
2 2 1
2 1 1
10 4
1 0 2
2 1 0
1 2 2
2 0 2
0 2 2
2 2 2
0 1 0
1 0 1
0 1 2
0 2 1
10 4
1 0 2
0 2 0
2 1 2
2 0 0
0 0 2
1 2 2
1 0 1
0 0 1
1 1 1
0 1 0
10 2
4 1 3
4 1 4
4 0 0
5 3 2
2 2 5
0 1 2
1 2 5
0 4 3
0 2 5
2 0 1
10 7
1 0 1
2 2 2
3 4 1
3 2 3
1 0 5
2 1 3
3 3 4
5 3 0
1 2 5
1 5 2
10 9
1 3 3
3 3 1
2 3 0
1 1 1
2 2 3
1 3 2
1 1 2
2 3 3
0 1 2
1 2 2
10 2
0 0 0
2 2 1
2 0 2
3 3 0
0 1 3
0 0 2
0 2 0
2 3 3
1 0 3
1 2 1
10 7
2 1 0
4 3 1
1 3 5
3 0 4
1 5 3
1 4 4
1 1 1
1 2 5
1 1 4
0 1 0
10 4
1 4 3
0 0 2
3 2 1
4 1 1
3 1 2
4 2 3
0 1 1
4 4 3
0 1 4
2 3 4
10 5
5 4 0
2 4 2
5 3 0
3 2 0
2 5 0
0 0 3
5 5 4
0 5 2
2 2 0
5 4 2
10 5
2 2 1
2 1 2
2 3 2
3 0 2
0 2 1
0 1 1
2 1 1
3 3 0
3 3 2
3 0 1
10 7
2 1 1
0 0 0
2 1 2
0 1 1
2 0 1
0 1 2
2 1 0
0 2 2
1 2 0
1 0 1
10 5
3 0 0
3 3 2
1 2 3
0 0 3
3 1 2
2 3 1
2 3 0
1 0 0
0 2 0
3 3 1
10 4
1 2 2
0 1 1
3 0 1
0 1 0
0 1 2
3 0 2
2 3 2
3 3 3
0 3 2
3 0 3
10 2
2 0 2
0 0 2
1 1 1
2 1 0
1 2 2
0 1 2
1 2 0
1 2 1
2 1 1
1 1 2
10 8
3 5 1
1 1 2
1 2 1
1 4 4
0 1 2
3 4 2
4 4 0
1 3 5
3 3 0
1 0 2
10 6
4 3 3
1 5 5
3 5 5
5 5 2
2 2 4
4 1 0
1 0 0
3 5 3
2 0 1
1 1 2
10 4
4 0 1
3 0 3
3 3 0
3 3 4
4 0 2
1 0 0
3 0 2
2 1 0
4 1 3
1 4 4
10 7
3 0 3
1 2 0
2 0 2
0 1 1
0 3 3
3 3 2
3 2 3
0 1 0
2 3 3
1 2 1
10 6
0 0 1
0 0 0
1 0 1
1 1 2
2 2 2
1 2 0
2 1 0
0 0 2
0 2 2
1 0 0
10 6
3 2 2
2 1 4
4 0 3
1 2 2
3 1 0
3 3 1
0 2 4
2 0 4
4 3 4
0 0 1
10 6
3 0 3
3 0 2
0 0 2
2 0 1
0 4 3
1 2 4
3 0 4
3 3 0
0 1 0
4 3 4
10 3
2 1 1
0 2 0
2 1 2
1 0 0
2 0 1
0 0 0
2 0 2
2 2 0
1 1 2
1 2 0
10 3
2 1 2
1 0 2
1 2 1
0 0 0
0 2 1
2 1 0
1 0 1
1 2 2
2 0 0
0 2 2
10 2
2 2 5
5 2 5
4 2 0
4 3 4
5 4 4
2 3 3
2 5 5
3 3 4
4 2 2
2 0 1
10 6
0 2 0
2 2 0
0 0 0
2 0 2
1 0 2
2 1 0
0 0 2
0 1 0
1 0 1
2 0 0
10 3
1 4 5
4 3 0
3 1 5
3 4 3
2 1 0
3 5 1
2 2 5
0 3 4
1 4 3
5 5 4
10 9
1 5 3
0 1 3
1 1 1
1 3 4
4 1 5
4 4 2
2 3 3
3 4 1
1 3 1
3 2 4
10 3
2 5 5
3 1 2
3 2 1
3 1 0
3 5 4
3 4 2
3 3 3
0 1 5
0 1 1
4 0 1
10 8
3 2 5
5 2 3
5 0 2
0 0 4
0 0 1
0 5 4
1 3 5
3 4 4
1 1 1
4 5 5
10 9
1 2 0
0 0 1
2 0 2
0 1 1
1 1 2
1 1 0
2 0 0
1 0 0
2 2 1
2 2 2
10 4
4 2 1
1 4 1
3 1 0
2 2 0
4 4 4
1 4 4
2 4 0
1 1 0
3 0 0
4 1 4
10 8
2 5 2
5 3 4
1 5 4
3 1 2
4 1 3
3 3 1
2 4 2
2 5 3
2 3 2
0 1 5
10 5
1 1 2
1 1 0
2 1 0
0 0 0
0 1 2
0 0 2
2 0 2
2 1 2
2 1 1
1 1 1
10 7
2 2 0
1 2 1
0 1 1
0 1 2
0 0 0
1 2 0
2 0 0
1 1 2
2 0 1
1 0 2
10 9
0 3 2
2 2 1
2 0 3
3 2 3
0 2 3
3 3 1
3 1 0
3 0 2
2 1 2
2 1 1
10 5
2 0 0
2 3 0
4 0 4
0 3 2
3 3 3
1 2 3
3 3 0
0 1 2
2 1 0
4 3 4
10 9
0 2 1
2 1 3
3 2 3
1 2 3
2 2 0
0 3 2
1 2 2
0 0 2
0 1 0
3 2 1
10 8
1 4 3
3 1 2
0 3 1
3 3 3
1 3 3
2 2 2
2 2 3
1 0 2
3 0 4
1 2 1
10 5
3 1 3
0 0 3
2 2 2
0 2 1
0 1 1
1 0 1
3 0 3
2 3 1
3 1 2
1 1 1
10 9
1 2 5
4 2 3
4 3 4
5 0 2
4 3 2
1 3 5
3 5 5
4 0 5
1 4 4
4 2 1
10 8
1 2 0
1 4 2
0 1 2
2 3 2
1 4 1
3 1 4
0 3 3
4 1 0
3 2 2
0 1 0
10 9
1 3 1
0 0 1
3 3 1
1 0 0
0 0 0
1 1 2
3 0 3
2 0 1
3 2 2
3 0 0
10 4
2 3 3
1 4 5
2 0 3
5 1 0
1 3 1
1 1 1
5 1 2
4 2 0
5 2 0
2 1 3
10 9
3 3 4
3 3 5
0 5 3
0 1 4
1 3 4
4 4 1
3 4 4
3 3 1
2 0 4
4 4 0
10 9
3 3 1
2 1 1
2 2 3
3 1 0
3 0 1
0 3 1
2 2 2
0 2 3
3 0 3
2 1 0
10 8
4 0 1
1 5 2
2 3 5
0 1 5
4 2 5
1 4 0
5 1 0
3 0 3
3 0 5
2 2 4
10 6
1 2 1
2 0 1
2 1 2
2 2 2
2 0 0
1 1 1
2 1 1
1 0 2
1 1 2
1 0 0
10 5
2 0 1
2 2 2
0 1 1
1 2 0
1 0 2
2 0 0
1 0 1
0 2 1
1 2 1
0 1 2
10 9
1 3 3
3 3 1
1 0 2
2 1 1
1 2 2
2 2 2
1 3 1
2 1 3
2 2 0
1 2 3
10 4
0 1 0
2 3 3
2 0 1
0 3 1
1 2 3
2 0 3
1 2 2
2 2 2
0 3 3
2 1 3
10 8
3 5 4
5 5 1
0 3 1
4 1 4
3 3 4
2 3 0
5 1 4
2 3 1
0 4 3
0 0 2
10 3
0 0 2
2 0 0
2 0 2
2 1 1
1 2 1
2 1 2
0 1 1
1 1 0
0 2 1
0 1 2
10 3
1 2 1
2 1 1
2 0 0
1 2 0
1 2 2
1 1 2
2 1 0
0 1 2
1 0 2
0 1 1
10 2
0 0 1
0 2 2
2 2 1
0 3 0
3 0 1
1 0 0
1 3 1
1 3 0
3 0 2
3 3 2
10 4
1 0 0
0 2 2
2 2 0
2 0 0
2 1 1
2 2 2
0 0 0
0 2 1
1 1 1
0 1 2
10 7
1 1 1
2 0 1
1 1 2
1 0 2
2 2 2
0 2 2
2 2 0
1 2 1
0 1 2
1 1 0
10 2
5 5 4
5 5 2
5 1 0
1 2 0
1 5 5
2 0 1
1 3 1
2 2 3
0 3 4
5 5 0
10 7
1 1 1
0 0 1
0 0 2
2 2 2
0 1 0
0 2 1
2 1 0
0 1 2
1 0 0
2 1 1
10 7
2 2 0
3 3 1
4 3 1
1 0 3
3 2 0
3 0 2
3 3 0
4 1 0
5 2 5
5 3 1
10 9
1 0 2
2 2 1
0 0 0
2 2 2
1 2 0
1 1 0
0 0 1
1 0 1
1 1 1
2 0 1
10 6
0 2 1
1 3 3
1 2 3
0 0 0
3 0 0
1 3 2
3 0 3
1 0 0
0 0 3
1 3 0
10 4
0 5 3
5 5 5
0 2 2
1 3 4
0 5 1
5 3 1
5 4 0
2 5 2
5 4 2
2 3 5
10 3
2 1 4
1 2 1
0 1 3
3 0 5
2 4 0
2 3 5
2 2 4
5 1 3
1 1 5
1 3 5
10 3
0 0 1
2 0 1
3 1 2
3 0 1
3 2 3
1 3 0
3 1 3
3 2 2
0 3 2
1 1 0
10 5
0 2 2
3 1 1
1 2 4
3 3 3
0 0 0
2 0 3
0 4 4
4 1 1
1 3 3
0 1 0
10 6
1 1 1
2 2 0
1 1 3
2 0 1
1 0 1
0 1 0
3 0 3
2 1 0
3 0 0
1 2 1
10 6
1 4 4
0 4 2
4 3 1
4 0 5
5 4 2
4 5 0
2 2 0
0 3 4
1 3 5
2 4 2
10 4
2 3 0
2 0 2
5 4 4
3 0 3
5 5 4
3 5 0
2 0 4
1 2 2
2 4 5
5 5 3
10 7
2 1 0
1 0 2
1 0 0
0 0 2
0 2 0
1 2 0
0 2 2
0 0 0
0 1 1
1 2 2
10 7
1 3 0
3 2 0
2 2 0
3 1 0
2 2 3
1 2 0
1 0 3
1 0 2
0 2 2
0 3 3
10 3
3 2 2
0 1 3
3 2 0
1 0 2
3 0 2
2 0 3
2 0 1
3 3 3
3 3 2
1 3 3
10 6
3 4 0
3 4 2
4 2 2
4 1 3
4 0 4
1 4 3
1 4 4
4 0 2
1 4 1
1 3 4
10 9
3 0 2
1 1 1
1 2 1
3 1 2
2 2 0
1 2 3
1 0 3
2 3 4
4 2 1
4 2 0
10 5
1 0 3
3 2 0
3 0 0
3 0 1
3 2 2
2 3 2
0 1 3
2 3 3
1 2 3
3 3 0
10 2
0 0 1
1 2 1
2 2 2
1 0 1
0 1 2
0 0 0
2 0 2
0 2 0
0 1 1
1 1 2
10 7
4 4 2
0 0 0
2 3 2
3 5 0
5 4 3
2 5 1
1 1 2
1 2 0
1 3 0
4 5 4
10 9
3 2 3
1 0 2
0 0 3
2 0 1
1 0 3
0 0 0
4 1 3
1 1 2
1 0 1
1 1 3
10 6
5 0 1
5 3 5
5 1 5
1 4 2
3 2 1
3 1 5
0 2 5
2 1 1
2 2 4
2 2 2
10 5
0 0 2
2 2 2
1 0 0
1 1 1
0 0 1
2 2 0
2 0 0
1 1 0
1 0 1
0 1 1
10 4
2 1 2
1 2 2
0 2 0
1 2 0
2 0 0
1 2 1
2 1 1
2 2 2
0 1 2
0 0 0
10 4
4 0 3
4 1 1
3 4 1
4 2 4
3 1 0
3 2 2
0 1 3
1 2 2
1 4 2
1 2 0
10 7
0 0 3
5 2 0
4 5 2
3 4 1
0 0 1
4 4 0
1 3 3
3 5 3
4 3 1
5 0 4
10 9
0 2 1
2 1 2
1 2 0
0 1 0
0 0 1
0 2 2
2 2 2
0 0 0
2 1 0
0 2 0
10 6
1 2 1
0 2 1
1 0 2
0 1 2
0 2 0
2 0 1
0 0 0
2 1 2
1 0 0
1 2 2
10 8
3 3 3
1 2 2
4 4 2
3 3 0
4 0 3
2 0 0
1 4 4
0 2 4
2 2 0
1 0 3
10 9
4 4 2
3 0 1
3 5 0
2 4 2
2 1 0
3 3 1
3 0 0
2 3 5
4 5 3
3 2 5
10 2
3 1 3
5 2 3
2 0 3
1 3 4
2 3 2
2 0 1
1 1 4
2 1 3
2 5 4
3 1 4
10 9
3 1 0
0 2 2
2 0 0
0 2 0
3 2 1
2 0 1
0 3 0
3 0 0
0 1 1
3 3 1
10 3
0 2 1
2 2 0
0 0 2
2 0 1
1 1 2
1 2 2
2 0 2
2 1 1
0 2 2
2 2 2
10 9
1 1 0
3 4 3
1 3 4
4 2 1
3 2 3
4 0 0
1 4 0
4 3 1
2 3 4
0 1 1
10 5
3 1 2
1 3 5
4 3 4
3 2 1
3 5 4
1 4 4
0 4 4
5 2 2
5 4 4
5 0 5
10 3
1 2 1
2 0 1
2 1 0
0 0 0
1 2 0
1 0 0
2 1 1
0 0 2
0 1 0
1 2 2
10 2
4 4 4
1 5 5
4 0 2
5 3 5
2 0 4
4 3 5
4 1 2
4 3 3
0 1 1
1 1 4
10 5
4 3 3
3 3 3
1 2 3
4 4 0
4 0 0
2 2 1
2 2 4
2 3 2
3 1 3
1 1 1
10 9
0 3 1
1 2 0
1 4 3
5 5 3
1 4 4
4 3 2
3 0 1
4 4 2
1 2 4
4 5 5
10 5
4 2 1
1 2 2
0 0 1
4 0 1
4 1 4
2 5 5
4 0 3
2 3 0
4 3 5
1 4 2
10 3
4 3 4
1 4 3
1 0 1
0 4 2
3 1 2
0 4 1
2 3 3
2 4 0
1 3 4
4 1 4
10 5
3 2 0
3 0 3
3 3 1
0 2 0
3 1 2
2 0 3
1 0 2
0 1 2
2 3 0
1 0 1
10 3
1 1 0
1 1 1
3 3 1
3 0 0
0 4 1
3 3 4
4 2 1
3 2 0
0 1 1
1 2 4
10 3
1 2 0
2 4 1
0 3 1
1 4 3
3 1 1
3 0 3
2 2 2
2 0 1
0 1 2
1 4 4
10 8
3 3 1
4 5 0
5 4 4
2 1 0
2 4 3
3 1 0
1 3 2
3 3 2
3 2 0
3 4 3
10 4
0 2 0
3 1 1
3 2 1
2 3 2
3 3 1
0 4 1
0 3 3
1 4 3
3 4 0
0 4 0
10 9
2 3 1
3 4 1
3 3 1
2 1 4
3 0 0
4 2 3
1 3 3
2 1 2
2 2 3
2 4 2
10 3
1 0 1
2 2 1
0 2 2
2 0 1
2 1 1
1 1 1
0 1 2
2 0 0
2 1 2
1 0 2
10 2
1 2 1
0 1 1
3 1 1
0 2 3
0 1 2
0 2 2
1 3 0
2 1 3
2 0 2
0 3 0
10 8
2 2 0
2 0 1
2 1 0
2 0 2
1 2 0
0 0 2
0 0 1
0 1 1
0 1 2
1 1 1
10 8
2 2 0
2 3 2
1 0 0
3 0 2
1 0 2
0 3 0
1 3 2
2 3 0
1 2 2
0 2 1
10 6
3 3 2
1 0 2
2 3 3
0 0 3
3 1 1
1 2 0
0 3 0
0 1 2
1 2 2
3 2 2
10 2
2 1 0
2 1 1
3 2 0
2 2 0
0 3 2
1 1 1
3 3 2
2 1 2
2 0 0
3 3 3
10 6
0 2 2
0 2 1
1 2 2
1 0 1
0 1 0
1 0 0
1 0 2
2 0 2
2 2 1
0 0 2
10 7
0 2 3
3 1 0
0 3 0
0 0 1
1 2 0
3 2 3
2 2 2
1 2 3
0 1 0
1 1 3
10 9
4 1 2
0 2 1
0 4 0
0 3 0
0 2 4
5 2 1
5 4 5
5 4 0
1 5 2
5 1 5
10 5
2 1 2
0 2 2
2 0 2
1 1 2
0 2 1
0 1 0
0 0 0
2 1 0
1 1 1
2 2 0
10 7
0 0 2
1 1 0
0 2 1
0 2 0
0 1 0
0 0 0
2 2 1
0 2 2
2 1 1
0 0 1
10 6
1 4 3
3 2 4
0 3 3
0 4 3
2 4 0
1 1 0
4 0 1
1 1 3
3 4 0
2 3 2
10 2
0 1 0
1 1 3
0 3 2
2 4 1
3 3 3
3 4 2
4 3 4
3 4 4
2 2 1
0 0 4
10 2
1 1 5
2 4 5
4 1 5
2 0 4
4 5 3
3 1 2
2 3 4
4 5 4
0 5 2
4 2 2
10 9
1 1 0
2 0 0
2 1 2
2 2 2
2 2 1
0 1 0
0 1 1
1 0 1
1 2 0
1 1 2
10 6
4 5 4
2 5 5
0 2 1
0 5 1
3 0 1
3 1 2
0 3 5
4 5 5
4 4 3
4 3 5
10 5
4 1 1
2 3 0
4 0 3
2 0 3
0 2 1
0 1 3
3 1 4
0 3 0
3 3 2
3 4 2
10 9
3 3 0
3 2 0
2 0 0
0 1 2
0 2 0
2 2 3
0 0 1
3 0 0
3 2 2
2 3 3
10 2
1 3 2
0 1 0
1 0 4
4 4 0
3 4 1
4 2 3
3 0 2
1 1 1
3 2 2
0 4 3
10 7
3 2 3
3 1 0
3 2 0
3 3 1
1 3 3
1 0 2
2 3 1
1 0 3
0 3 0
0 0 0
10 8
3 2 1
0 1 4
1 4 2
2 1 1
4 1 0
1 0 3
3 3 4
3 2 4
1 0 4
4 2 4
10 7
2 2 0
2 2 1
0 1 1
0 3 3
2 3 0
3 3 2
0 0 1
1 2 3
1 3 3
1 2 2
10 4
0 3 2
1 2 1
2 0 3
1 3 0
0 3 1
3 3 1
3 2 2
1 1 0
2 1 1
2 2 2
10 5
3 3 3
2 1 1
1 0 1
3 3 0
1 0 0
3 0 1
3 1 3
2 1 2
3 2 3
2 1 0
10 4
2 1 3
4 4 4
1 1 2
2 2 2
0 3 2
4 1 1
3 4 3
1 4 2
1 4 4
4 4 0
10 4
5 3 1
2 5 2
2 1 1
1 4 4
4 4 1
5 3 0
5 1 2
5 0 5
2 3 3
3 5 5
10 2
4 0 4
4 5 4
1 1 2
5 4 3
0 0 3
3 2 2
3 3 5
0 2 5
0 3 4
5 3 1
10 2
5 5 4
3 3 0
2 3 2
4 5 3
5 1 4
5 5 0
2 1 4
2 4 5
3 5 4
3 0 2
10 6
4 0 0
0 0 4
3 2 3
4 1 3
2 0 3
2 1 4
0 4 0
0 0 1
3 1 1
1 1 2
10 4
2 0 2
1 2 2
1 0 4
4 2 2
1 0 1
4 1 0
3 4 0
4 0 3
4 3 0
4 1 3
10 8
0 1 4
2 2 2
1 0 3
2 0 2
1 4 5
4 3 4
4 1 0
2 5 1
3 5 4
2 4 2
10 9
2 3 0
2 3 1
0 4 2
4 1 4
3 4 4
3 2 3
3 3 1
3 2 2
2 1 4
1 2 3
10 8
1 1 1
2 2 0
0 2 0
0 1 0
2 2 2
2 0 0
2 1 0
2 1 2
1 1 2
0 2 1
10 9
0 2 1
0 3 2
2 0 0
0 2 0
0 1 1
0 3 0
2 3 0
1 3 0
1 2 0
0 0 2
10 2
3 2 0
4 4 1
5 2 0
0 5 4
3 4 3
5 1 2
0 0 1
4 1 2
1 5 0
1 2 5
10 7
1 1 2
1 2 1
0 2 1
2 2 1
0 2 2
1 0 2
1 2 2
2 1 2
2 0 2
2 2 0
10 4
2 2 1
0 1 1
2 1 0
2 2 2
0 2 1
0 0 1
2 0 0
1 0 0
1 0 1
0 1 0
10 2
1 3 2
5 0 4
3 0 5
0 0 4
1 2 1
4 4 2
1 2 2
4 5 3
0 3 5
5 0 2
10 4
2 2 0
1 4 1
5 2 3
3 3 5
5 1 5
0 5 2
3 1 3
3 3 3
2 2 2
3 1 5
10 6
0 1 2
1 1 3
2 3 2
0 1 4
1 1 5
2 2 2
5 0 5
0 1 0
4 3 0
4 0 4
10 5
2 2 0
2 2 1
0 1 0
1 2 2
0 1 2
2 2 2
1 1 1
0 0 2
2 0 2
1 0 1
10 7
3 4 4
1 3 1
2 2 3
2 3 4
3 0 1
0 3 4
2 2 1
2 0 1
0 4 0
4 1 4
10 8
2 2 3
2 2 2
2 2 1
0 1 2
3 1 3
2 1 3
0 0 1
1 2 0
0 0 0
3 3 1
10 4
4 2 0
2 3 1
2 1 0
5 5 1
4 0 3
3 2 4
4 5 3
1 4 1
0 4 0
3 2 5
10 9
2 3 3
2 5 3
3 3 0
2 4 2
5 0 5
2 5 1
4 5 0
4 0 2
3 2 3
5 5 0
10 9
4 1 0
3 3 1
3 2 4
4 4 1
4 2 1
5 5 0
5 3 4
3 1 4
1 2 1
5 4 5
10 7
1 2 2
3 0 1
1 3 0
1 1 3
0 3 2
3 2 0
0 2 1
0 1 0
2 2 0
3 2 3
10 7
2 2 2
2 2 1
1 0 2
1 2 0
2 0 2
2 1 0
0 2 0
1 1 0
0 1 2
0 0 1
10 3
2 1 0
1 0 2
0 1 1
2 1 2
2 2 1
1 2 2
1 1 1
2 2 2
0 1 2
1 0 1
10 7
3 2 2
0 0 1
3 2 0
2 0 3
2 2 1
2 3 1
0 3 0
1 0 3
1 3 2
0 1 2
10 3
1 1 0
0 1 2
2 2 1
2 0 0
2 0 1
0 2 1
2 1 0
1 0 0
0 2 2
0 0 1
10 4
3 1 2
3 1 4
3 3 0
0 1 3
4 3 2
0 0 1
1 0 0
4 3 3
1 1 2
1 0 2
10 6
2 3 0
0 0 3
2 3 4
0 4 4
2 2 4
2 1 2
4 1 1
4 0 3
2 2 1
1 4 2
10 4
1 3 5
3 3 0
0 4 1
0 0 3
5 4 3
5 3 3
1 0 2
5 0 1
3 3 4
5 4 0
10 7
5 2 5
0 0 3
1 2 0
1 4 0
0 3 0
5 2 1
5 0 4
5 1 5
2 0 2
4 2 5
10 9
5 4 2
4 1 3
1 5 3
1 0 0
5 4 1
0 2 1
3 1 2
0 0 5
3 5 1
2 3 3
10 9
0 0 0
2 1 0
1 0 1
0 1 0
2 0 0
0 1 1
2 1 2
1 1 2
1 0 0
1 2 2
10 2
4 2 4
0 2 2
0 3 0
4 0 2
4 3 2
3 2 0
3 0 4
0 0 3
3 3 0
0 4 2
10 4
0 1 0
0 1 2
4 2 4
4 1 4
2 0 3
4 2 1
0 4 2
2 0 0
5 5 5
5 2 2
10 6
2 0 1
0 2 0
0 1 0
0 0 0
2 1 2
2 2 0
2 1 1
1 1 0
1 2 1
0 0 2
10 3
3 2 4
1 1 4
2 4 2
2 0 0
1 2 4
0 3 0
0 2 0
2 3 2
3 3 4
0 0 1
10 2
0 0 2
3 0 0
3 3 2
1 1 3
3 2 1
0 1 2
2 1 3
0 3 3
0 3 2
1 0 3
10 2
0 2 1
2 2 2
1 2 1
2 2 0
2 0 2
2 2 1
0 2 0
2 1 2
1 0 0
1 0 1
10 8
1 0 1
2 2 1
1 0 0
0 2 0
2 1 1
0 0 2
1 2 1
2 2 0
2 1 0
2 0 0
10 3
1 2 0
3 1 2
0 3 1
0 2 2
2 1 3
0 0 2
3 1 1
0 0 0
3 2 3
3 3 2
10 6
3 2 4
2 1 3
1 1 0
1 2 2
1 3 1
3 3 1
3 0 4
0 4 2
0 1 0
4 2 0
10 6
0 2 2
1 2 2
0 1 0
2 1 2
2 0 2
0 0 2
2 2 0
1 1 2
0 1 2
1 1 1
10 9
4 0 4
2 3 4
0 1 0
2 0 0
0 3 1
1 1 0
3 2 2
4 2 1
3 0 1
0 0 3
10 7
0 0 0
1 2 0
1 0 0
1 1 0
2 1 2
0 2 1
1 0 1
2 2 2
1 2 2
0 1 2
10 5
2 3 3
2 3 2
0 0 1
3 1 2
3 0 2
2 3 0
3 3 3
2 2 3
3 0 3
3 3 1
10 5
1 2 4
3 1 2
1 0 4
0 4 0
3 4 1
2 0 4
4 3 3
4 3 2
0 4 3
4 1 3
10 9
0 0 2
2 1 3
3 3 0
0 0 3
1 3 0
0 3 3
3 3 1
3 3 3
0 3 0
2 0 2
10 8
1 0 0
0 0 0
1 0 1
0 1 0
0 2 0
1 0 2
1 2 1
0 0 2
2 0 2
0 0 1
10 3
3 0 3
1 2 2
1 1 1
0 3 2
0 1 1
2 3 2
3 0 0
1 2 0
0 1 2
2 0 0
10 9
1 1 0
0 1 2
0 2 0
0 2 2
2 0 1
2 1 0
2 1 1
2 0 0
1 0 0
2 2 1
10 3
1 2 1
3 1 0
2 0 1
1 1 2
1 2 2
1 0 1
0 1 0
0 2 2
3 2 3
3 3 3
10 7
1 2 2
0 1 0
1 0 0
1 0 1
2 2 0
1 1 1
1 0 2
1 1 2
2 1 0
0 1 2
10 4
2 3 0
0 1 3
3 5 4
1 2 1
4 3 4
5 2 4
1 0 5
0 1 5
5 1 3
5 3 1
10 3
0 1 2
2 4 1
2 3 0
0 4 2
3 3 4
1 4 3
0 3 3
2 0 0
4 4 3
2 2 0
10 5
2 0 1
1 2 0
3 1 2
1 4 0
2 3 2
1 0 4
2 1 2
5 2 5
0 3 3
4 3 5
10 9
2 2 0
1 2 0
2 1 1
0 1 0
0 2 2
1 1 0
2 2 2
1 1 1
2 1 2
2 1 0
10 2
0 2 1
0 0 4
2 4 2
5 0 1
0 3 5
4 3 5
3 5 0
4 1 2
3 5 5
0 3 1
10 6
0 4 1
4 2 2
3 0 2
3 2 4
0 0 3
0 4 0
3 3 4
3 0 3
4 1 4
1 1 4
10 8
4 4 1
3 4 3
5 0 2
1 0 3
2 5 2
0 5 5
4 5 4
0 4 4
2 2 3
4 1 5
10 3
2 2 0
1 0 2
0 1 2
2 1 0
0 0 0
1 1 1
0 1 0
0 1 1
1 0 1
1 1 2
10 3
2 0 0
2 1 1
1 1 1
2 2 0
2 0 1
0 1 2
0 1 0
0 2 2
1 2 0
1 1 0
10 9
2 0 1
0 2 0
2 0 0
1 2 2
1 0 2
2 2 1
2 1 0
0 0 1
1 2 0
1 2 1
10 9
2 2 0
1 1 0
0 0 2
1 2 0
2 1 2
0 0 0
2 2 1
2 0 0
2 1 1
0 2 2
10 4
1 3 1
1 3 0
0 0 2
2 3 1
2 2 1
2 1 1
0 2 1
0 0 1
0 3 0
0 1 3
10 4
0 2 0
2 2 1
2 1 0
2 0 2
2 2 0
1 2 0
0 0 0
1 0 1
0 2 2
0 0 1
10 9
0 1 2
1 2 0
0 0 2
1 3 1
0 3 1
3 0 3
2 1 0
3 1 0
3 0 0
3 3 0
10 4
4 0 2
4 3 4
1 2 2
0 4 2
3 3 1
4 4 0
1 1 2
2 3 1
2 2 3
2 3 2
10 9
1 1 1
2 2 2
2 0 1
0 2 2
1 2 2
0 0 0
1 1 0
2 1 2
2 2 1
1 1 2
10 7
2 2 2
1 3 0
1 3 1
3 0 0
0 0 3
0 3 2
1 0 0
3 2 1
0 3 0
0 1 2
10 3
1 0 0
1 0 1
2 1 2
2 2 2
1 1 2
2 0 2
0 0 1
2 2 0
2 2 1
0 0 0
10 4
1 0 3
2 2 3
3 0 2
2 3 3
2 1 3
1 1 3
0 2 3
2 1 0
0 2 0
2 3 1
10 9
2 0 2
2 2 1
1 2 1
0 2 0
1 2 0
1 0 0
0 0 2
0 0 1
1 0 2
2 1 1
10 6
3 4 2
1 4 0
0 2 1
4 2 0
4 2 2
1 0 2
0 2 0
2 2 4
1 2 4
1 4 1
10 6
2 0 1
0 1 1
2 1 0
1 0 1
1 1 2
1 1 0
2 2 2
1 0 0
2 0 2
0 0 0
10 3
0 1 2
1 1 0
5 0 1
5 5 0
1 0 1
5 2 4
4 0 4
1 3 3
1 5 3
0 1 1
10 8
1 3 4
4 1 1
4 0 4
0 4 2
1 4 4
0 1 3
1 4 2
2 3 2
4 2 0
4 0 2
10 5
1 0 1
2 1 4
0 4 3
0 3 3
2 4 1
1 0 2
1 3 2
3 0 1
4 1 0
2 0 0
10 3
2 0 2
2 3 5
4 1 2
5 2 4
3 0 1
5 3 3
1 5 0
2 5 4
4 2 4
4 5 1
10 6
0 3 3
1 2 1
3 3 0
3 2 2
1 0 0
1 3 3
2 2 1
3 1 1
2 1 2
0 0 1
10 5
0 0 1
2 1 0
1 1 2
0 2 2
2 2 0
1 2 1
0 1 2
0 2 0
2 0 2
0 0 0
10 5
2 1 5
1 1 0
3 2 1
4 0 5
2 3 2
2 5 5
0 1 3
5 4 0
3 5 5
0 4 5
10 6
2 1 2
0 3 0
1 0 3
1 3 3
2 2 3
3 2 1
3 1 1
0 2 2
1 2 2
1 1 0
10 5
0 0 1
0 1 2
1 0 1
0 1 0
1 2 1
2 0 1
0 1 1
0 2 1
1 2 0
2 2 0
10 9
2 2 0
1 2 0
2 0 0
0 0 0
0 1 1
2 1 1
0 2 2
1 0 1
0 1 0
2 2 1
10 3
2 2 0
3 3 1
2 0 2
3 3 3
2 1 2
2 3 0
1 1 0
1 1 1
0 3 3
1 2 1
10 5
0 1 2
1 1 2
1 2 2
1 1 1
2 2 2
0 1 1
0 0 2
1 0 1
2 1 0
0 0 1
10 7
0 1 0
1 1 0
0 2 2
1 0 2
0 1 1
1 2 0
2 2 1
2 1 0
0 2 1
0 0 1
10 9
1 4 2
5 3 0
5 2 1
4 3 5
3 4 0
1 4 4
5 1 2
3 4 5
3 2 3
0 2 3
10 7
3 4 2
3 2 2
0 3 0
0 5 1
2 1 2
2 3 2
4 1 4
5 1 1
5 4 0
5 2 3
10 7
1 4 2
4 3 2
3 3 1
4 1 1
3 0 3
1 4 3
4 4 3
2 1 4
4 3 4
0 0 0
10 2
1 1 2
0 0 2
0 1 2
0 0 0
1 0 2
1 1 0
1 2 1
0 2 2
2 2 1
2 1 1
10 3
2 0 1
2 1 2
2 2 1
1 1 1
2 2 2
1 2 0
2 0 0
2 0 2
0 2 0
0 2 2
10 5
1 0 1
1 2 0
2 2 0
2 2 2
1 1 1
0 0 2
1 0 2
0 2 0
0 2 2
1 1 2
10 4
3 4 3
3 1 4
1 2 4
2 3 4
2 2 2
4 3 1
0 0 0
0 1 1
4 0 2
4 0 1
10 8
1 2 1
2 1 1
2 2 1
2 0 2
2 1 2
1 0 1
0 1 2
2 0 1
2 2 2
0 0 2
10 6
2 3 1
3 2 2
0 0 1
0 3 0
4 1 2
1 3 1
3 3 3
4 4 3
2 1 4
0 2 1
10 2
3 0 2
3 3 0
1 3 0
2 2 1
3 3 2
0 0 2
0 1 3
2 2 3
2 3 0
3 2 2
10 5
3 1 1
2 0 1
0 2 5
3 3 0
1 4 2
5 0 2
2 5 5
0 2 1
0 1 4
1 1 5
10 7
4 0 5
1 0 1
2 3 3
3 2 5
5 3 4
3 0 2
4 4 4
2 1 1
5 5 1
0 2 2
10 2
2 2 2
2 0 0
1 2 1
2 2 1
1 0 0
2 2 0
0 2 1
1 1 1
2 0 1
2 1 1
10 6
1 1 1
1 1 3
3 3 3
3 1 2
0 2 0
2 1 1
1 0 0
0 2 3
1 0 2
2 3 0
10 3
2 2 1
3 0 1
1 0 1
0 0 1
2 2 3
3 2 1
1 0 3
2 0 3
1 0 2
0 1 0
10 8
3 3 2
3 3 0
3 1 3
2 1 0
0 2 1
0 0 0
1 0 2
2 3 3
0 1 1
3 1 2
10 2
0 2 1
2 0 1
1 1 1
2 1 0
2 2 2
0 1 1
2 0 0
1 2 0
1 0 0
1 1 0
10 8
1 3 1
1 0 1
3 2 3
3 3 1
0 3 0
3 0 3
1 2 2
2 0 2
2 3 0
0 0 0
10 6
1 0 3
4 2 4
0 1 0
0 0 0
4 4 0
3 3 3
0 1 3
4 1 4
4 4 2
3 4 3
10 8
0 3 3
1 2 4
0 1 3
3 2 4
1 2 1
0 4 0
3 1 4
0 2 3
2 1 1
2 4 0
10 2
1 0 4
0 3 3
3 2 0
1 4 4
4 0 0
4 2 1
1 4 2
3 4 0
4 4 4
0 1 3
10 2
0 1 1
4 3 1
2 0 4
1 1 2
3 0 4
1 2 3
4 4 3
2 3 0
1 4 4
2 3 2
10 2
0 2 2
3 0 3
1 1 2
2 0 3
0 0 0
1 2 0
2 1 2
0 2 0
2 3 3
3 2 3
10 8
2 2 0
0 0 2
0 1 1
0 0 1
0 2 0
1 0 2
1 1 2
0 0 0
1 0 1
2 1 1
10 5
3 0 3
1 3 1
2 1 2
2 1 0
0 3 3
1 2 2
3 3 0
3 2 1
1 1 0
0 1 1
10 9
0 4 3
1 0 0
2 0 3
3 0 0
1 4 3
0 3 0
0 2 1
3 3 3
3 3 2
4 3 4
10 2
1 3 0
0 2 4
5 3 1
1 4 1
1 0 0
3 1 4
4 4 3
4 5 3
0 2 5
2 3 0
10 9
1 1 1
0 0 1
1 0 0
2 0 2
0 2 2
1 2 1
2 1 2
1 0 1
1 1 0
2 0 0
10 4
2 5 1
5 0 2
4 3 1
2 1 2
0 1 5
2 5 3
3 0 2
1 4 3
1 2 0
2 5 5
10 6
1 2 2
2 0 5
2 5 2
4 2 3
3 1 1
5 2 1
0 3 3
0 5 2
3 2 4
5 3 3
10 3
2 2 3
1 1 1
2 1 2
2 0 0
1 3 2
2 2 0
2 3 3
2 0 2
3 1 3
3 1 1
10 3
1 0 5
0 3 4
1 5 5
2 4 4
2 4 5
2 5 5
3 0 5
3 1 1
0 2 1
1 2 3
10 8
2 0 1
1 2 0
1 2 2
0 0 2
1 1 0
0 0 0
0 1 2
2 2 1
2 1 1
1 2 1
10 9
0 3 2
1 2 2
4 3 0
3 3 3
1 0 1
2 1 2
4 3 3
1 3 3
1 1 2
3 1 2
10 5
0 0 1
2 2 2
2 2 0
2 0 2
0 2 2
0 2 0
2 1 1
1 2 1
1 0 0
2 0 0
10 9
0 0 2
2 0 1
2 2 1
2 0 0
1 2 0
2 1 2
0 1 1
1 1 2
1 0 2
1 2 2
10 2
4 2 1
0 2 2
4 0 2
1 1 4
2 0 2
3 1 4
4 0 0
4 2 2
2 1 1
1 3 1
10 5
0 1 3
3 0 1
2 3 0
1 1 1
0 2 3
1 2 2
2 2 0
0 3 0
0 3 1
0 2 0
10 8
0 0 2
0 0 1
0 1 0
1 1 2
0 2 2
2 0 1
2 1 0
0 1 1
2 1 1
1 1 1
10 2
1 1 1
2 2 2
1 2 2
2 0 0
2 2 1
0 0 2
1 0 2
2 0 2
2 1 1
0 1 1
10 9
0 1 2
0 0 0
1 0 2
2 0 0
2 1 1
2 2 2
1 1 0
1 0 0
2 1 0
2 0 1
10 9
4 2 0
4 1 0
1 0 4
0 0 4
3 1 4
4 0 1
4 0 3
4 3 2
2 4 0
2 3 1
10 6
0 2 0
1 2 1
2 2 2
0 2 2
2 2 0
2 1 1
1 2 0
2 2 1
1 0 0
1 0 2
10 4
3 0 0
1 5 0
4 4 5
2 0 5
4 3 4
1 0 3
1 2 3
1 3 0
3 3 1
3 0 3
10 8
3 4 2
0 1 5
3 1 1
1 4 3
5 5 2
5 1 1
1 2 0
3 2 4
3 2 5
2 2 1
10 2
1 1 1
2 0 1
2 2 2
3 2 1
2 0 0
0 2 2
1 1 0
2 0 2
3 1 3
3 0 2
10 2
5 1 2
0 5 5
0 5 0
3 3 3
0 4 5
0 4 0
4 3 5
1 2 5
0 3 1
3 3 5
10 3
1 1 0
0 0 2
0 1 1
2 2 2
1 2 0
1 2 1
1 0 0
2 2 1
2 1 1
0 2 2
10 9
3 4 5
5 0 4
0 2 5
1 0 4
4 2 4
0 1 3
3 5 0
3 4 3
1 4 5
4 1 2
10 2
4 4 5
3 4 0
1 5 0
3 5 5
4 4 1
3 4 5
2 4 1
0 2 4
4 2 2
4 2 1
10 9
1 0 0
2 1 0
1 3 2
1 1 2
1 1 1
3 3 0
3 0 0
2 2 2
1 2 0
2 2 3
10 2
0 2 2
2 0 1
0 1 1
1 1 2
1 2 2
0 2 0
1 2 1
2 2 2
1 0 1
0 2 1
10 6
2 0 1
0 0 1
2 1 2
2 2 0
0 2 0
1 0 0
0 1 0
1 1 0
2 0 2
1 1 1
10 3
2 2 0
1 1 1
0 2 0
0 2 1
0 1 0
1 0 0
1 2 2
0 0 1
2 0 0
2 1 1
10 4
2 0 1
0 2 2
0 0 2
1 2 0
1 2 1
0 1 2
1 1 0
2 2 0
2 0 2
2 0 0
10 8
2 2 1
1 0 0
0 1 2
2 1 2
1 2 0
1 1 2
0 0 0
1 0 2
2 1 1
2 1 0
10 7
0 3 3
3 0 3
2 3 4
2 1 3
3 4 3
4 3 2
1 3 3
0 1 0
1 2 1
4 1 4
10 5
3 0 3
0 2 1
2 2 0
2 2 2
2 1 4
1 2 3
0 3 3
1 3 2
4 3 2
1 0 2
10 5
0 2 2
1 2 3
0 0 1
0 1 3
2 0 0
1 0 3
3 0 3
3 3 0
3 3 2
0 0 2
10 3
0 1 1
3 1 2
3 2 0
0 3 0
0 3 2
1 1 0
0 3 3
2 0 0
3 3 3
1 2 0
10 5
2 4 3
2 2 2
0 3 3
4 2 1
1 0 3
4 4 0
4 1 3
3 1 1
4 1 0
0 3 1
10 5
2 0 2
3 1 1
4 0 5
3 4 0
1 3 3
5 4 4
4 3 0
3 5 3
4 0 1
5 1 4
10 9
0 2 3
1 1 1
2 3 2
1 3 0
2 0 3
2 0 0
0 0 1
1 0 2
3 1 3
3 0 0
10 6
2 0 1
2 0 3
3 1 0
4 2 1
4 1 2
0 3 4
3 4 2
0 3 2
1 1 1
1 2 1
10 8
0 2 1
0 2 3
2 3 1
0 0 3
3 0 0
2 0 2
1 3 3
1 1 2
2 2 2
0 0 2
10 6
0 2 1
2 2 2
2 3 2
4 5 1
2 2 5
5 1 4
1 0 1
0 1 4
4 1 0
0 3 3
10 4
5 1 4
2 2 1
0 3 5
3 2 4
0 0 4
3 2 0
4 2 3
2 4 4
4 4 4
5 3 1
10 7
0 2 2
2 2 1
0 1 1
0 1 0
2 0 1
0 0 2
1 1 0
1 1 1
0 2 1
2 1 0
10 7
2 3 2
2 1 2
3 3 3
1 1 3
2 3 1
1 3 3
1 0 3
0 1 3
1 0 2
3 2 2
10 8
2 0 2
3 0 2
2 3 3
0 2 2
3 3 3
0 3 0
0 2 3
3 3 2
2 0 3
0 1 1
10 2
2 1 1
1 0 3
4 2 1
0 1 2
4 3 0
0 1 4
0 0 3
0 2 0
0 0 0
4 4 1
10 7
2 0 0
2 1 0
0 0 0
2 2 2
0 0 2
2 1 1
0 0 1
2 2 1
2 0 1
1 1 1
10 7
0 1 1
4 1 2
1 4 2
3 4 4
4 0 0
3 3 0
2 1 2
2 4 3
4 0 2
2 2 3
10 5
1 0 0
3 1 0
0 2 1
3 0 0
2 2 2
2 2 0
2 1 0
3 1 1
1 2 3
3 3 3
10 5
2 2 3
1 2 1
0 0 2
3 1 2
3 2 0
2 0 3
1 1 0
0 2 1
1 0 3
1 2 0
10 6
3 5 2
5 4 2
2 1 5
2 1 4
0 0 0
3 3 0
0 2 4
3 2 0
2 1 1
4 3 5
10 8
0 0 2
2 2 1
2 0 0
2 1 0
1 1 2
0 2 1
1 2 2
2 0 2
2 2 2
1 0 2
10 8
1 2 0
1 3 0
0 0 3
2 1 0
0 0 2
3 2 1
0 0 1
0 3 2
0 1 1
2 2 3
10 7
2 3 3
4 2 3
2 1 0
3 0 1
4 2 0
0 3 4
0 4 2
2 3 2
0 1 0
0 1 2
10 3
0 1 1
1 2 3
1 2 2
2 3 1
0 1 3
3 3 1
0 2 2
1 1 1
0 1 2
2 2 1
10 5
2 3 3
3 3 2
3 3 0
2 2 0
2 1 0
2 1 3
1 1 3
3 2 1
1 2 0
1 0 1
10 2
1 0 0
3 0 1
1 1 1
3 2 0
2 1 0
1 2 2
2 3 3
3 1 1
0 0 2
2 2 3
10 6
1 1 4
3 0 1
0 3 2
1 1 3
4 4 4
1 2 3
2 3 0
4 2 4
2 4 2
0 3 3
10 3
1 4 2
2 0 3
1 2 0
3 3 1
0 3 3
2 1 1
3 2 0
4 0 1
4 0 3
2 2 4
10 6
1 1 2
2 4 3
0 3 4
2 0 3
3 4 2
4 4 1
1 4 4
1 1 1
3 3 4
1 4 2
10 6
2 1 2
1 1 2
0 0 1
2 2 1
0 2 2
1 1 1
2 0 0
0 1 0
1 2 2
0 1 1
10 9
4 2 0
2 1 1
0 1 4
2 4 4
3 4 2
2 2 4
1 3 2
3 0 3
4 2 1
3 3 2
10 6
4 1 2
0 2 1
1 0 3
4 1 4
4 2 4
4 0 2
0 3 4
3 3 0
0 0 3
1 4 2
10 9
3 0 4
0 0 4
1 3 4
4 2 1
4 4 5
5 0 1
5 5 3
3 5 3
3 5 2
3 1 4
10 2
2 1 1
0 0 0
0 1 1
2 2 0
0 2 0
1 1 0
2 0 1
2 2 1
1 1 2
1 2 2
10 7
2 2 2
1 1 0
2 0 2
2 0 1
1 0 2
0 2 1
1 0 1
0 1 1
0 1 2
2 0 0
10 8
5 0 0
4 3 5
0 4 3
3 2 1
0 2 4
0 1 5
0 4 0
5 0 5
4 5 2
5 3 5
10 9
4 1 0
0 3 2
1 1 0
2 1 2
3 0 2
4 2 0
0 1 0
1 3 0
0 0 0
1 0 3
10 6
0 0 2
3 1 1
0 0 1
2 0 0
0 0 0
0 2 3
3 0 0
2 3 2
0 1 1
2 2 2
10 5
0 1 0
1 4 0
1 1 1
2 4 2
0 0 3
1 1 3
1 0 3
0 0 4
2 2 1
2 0 2
10 5
4 1 4
0 0 1
3 2 3
4 0 1
4 3 0
2 2 5
0 2 2
3 2 1
3 1 2
4 5 1
10 9
3 0 3
2 0 1
2 1 3
0 0 1
2 0 0
2 2 0
0 0 2
2 3 1
1 2 0
3 3 3
10 5
2 3 0
2 0 3
1 0 3
2 1 0
0 0 0
3 2 3
3 1 2
1 1 3
1 2 1
1 1 2
10 7
2 1 1
1 3 3
2 0 2
2 2 3
1 0 0
0 1 3
0 1 0
0 3 3
2 3 3
3 1 1
10 2
1 1 0
1 1 1
1 2 2
3 1 3
2 2 2
1 1 3
3 3 1
1 1 2
3 0 1
2 1 3
10 3
2 1 3
3 1 4
1 1 0
4 0 3
4 3 2
2 0 4
3 2 2
4 4 3
1 3 1
0 0 0
10 6
3 3 4
4 2 4
1 3 1
2 2 2
1 0 2
2 3 3
4 1 0
0 4 2
1 0 0
0 3 3
10 8
4 3 4
4 4 2
2 1 0
2 2 2
1 2 0
3 3 2
3 1 1
3 4 3
2 3 3
0 4 4
10 7
1 3 0
2 2 2
2 1 2
0 3 4
4 1 4
4 4 1
1 4 1
3 1 3
2 4 3
0 0 3
10 2
4 2 3
0 4 4
4 2 2
4 0 0
4 0 4
2 1 2
0 4 2
3 1 4
3 4 0
4 4 0
10 9
0 0 2
1 1 2
1 2 2
1 2 1
2 2 0
0 2 0
0 2 1
2 1 0
2 0 2
0 1 2
10 6
0 1 0
0 1 3
2 0 3
3 0 1
2 2 0
1 2 3
1 0 2
2 1 3
3 3 2
2 3 3
10 4
2 1 2
0 3 1
3 3 0
2 1 3
2 3 1
2 2 2
1 3 3
3 0 2
3 0 1
1 0 2
10 7
1 4 1
1 0 2
0 3 3
0 2 0
1 4 0
0 2 2
3 2 4
0 3 4
3 4 0
4 4 0
10 2
2 3 3
2 0 3
1 2 0
2 0 2
0 0 1
2 2 2
1 2 2
3 3 3
3 2 3
0 2 2
10 8
1 2 2
1 0 2
2 1 0
0 1 1
1 1 1
0 1 0
1 1 2
2 0 0
2 2 0
0 0 2
10 4
3 1 3
1 0 2
1 2 0
1 4 2
2 1 2
4 4 2
3 2 0
2 4 4
1 3 2
2 2 0
10 9
4 2 4
5 1 0
1 1 5
4 5 0
0 4 5
2 5 3
2 1 3
0 5 3
3 0 4
5 4 5
10 2
3 2 0
1 1 3
0 3 3
2 1 3
2 0 3
0 2 0
3 3 2
2 2 2
1 2 2
1 2 1
10 4
1 1 2
2 1 1
0 2 0
2 2 0
2 2 2
0 2 2
1 2 0
0 1 0
1 1 1
0 1 1
10 3
2 2 0
1 3 3
3 3 0
0 0 2
0 2 3
3 1 1
3 0 1
1 3 0
0 1 2
2 2 2
10 8
0 1 2
0 0 0
0 2 1
2 2 0
1 1 2
1 2 0
2 0 0
2 0 2
1 0 1
1 1 1
10 4
1 0 2
0 5 5
2 4 3
2 5 3
1 1 1
5 3 3
0 4 0
5 5 2
4 2 4
4 4 3
10 5
2 0 0
0 2 2
1 1 0
0 1 1
1 0 0
1 2 1
2 0 2
2 2 1
2 1 2
0 0 0
10 8
0 2 0
0 2 1
0 0 1
0 1 0
1 0 1
0 0 0
1 1 0
2 0 0
1 1 1
2 1 0
10 2
0 0 3
3 4 0
2 3 3
1 3 4
4 3 1
1 4 3
4 3 3
0 3 0
0 3 1
0 1 2
10 2
4 4 3
4 2 3
1 3 2
1 4 1
4 4 1
1 0 1
0 4 3
2 2 1
1 1 1
3 3 0
10 6
0 4 0
1 0 4
2 0 5
2 2 1
5 0 0
1 1 5
3 0 0
4 2 2
1 2 2
4 1 0
10 3
1 4 3
0 4 0
4 4 4
0 3 1
4 3 0
4 3 1
3 3 1
3 3 2
2 0 4
4 2 4
10 6
0 2 1
1 2 2
1 1 2
1 2 0
0 2 0
0 1 1
0 0 0
2 0 0
0 0 2
1 0 0
10 5
4 1 0
2 0 5
4 2 1
5 2 5
5 2 2
0 1 3
4 0 5
3 3 1
2 5 5
1 2 0
10 6
1 2 0
0 0 0
1 1 0
2 0 0
1 2 2
2 2 0
0 1 1
2 0 1
2 2 1
2 1 2
10 6
0 0 3
1 2 0
0 3 2
2 2 2
2 2 3
3 0 3
2 2 1
0 1 3
1 0 3
1 3 1
10 2
1 3 2
0 1 2
0 2 3
0 2 0
2 3 2
0 2 4
3 3 2
0 3 0
4 1 1
1 2 3
10 7
2 1 2
2 1 1
1 0 2
0 1 2
2 2 0
1 1 2
0 0 2
2 0 2
2 2 2
0 1 1
10 2
3 1 0
4 3 4
0 1 2
3 2 4
3 1 2
2 2 4
1 2 2
2 3 1
3 3 0
3 3 3
10 7
2 2 3
3 3 0
2 3 4
0 0 1
4 0 4
4 4 4
3 3 2
3 2 3
0 2 4
3 1 0
10 6
4 3 0
1 0 5
2 3 5
0 2 5
2 3 2
2 1 2
5 5 2
0 0 5
2 2 3
1 0 1
10 9
0 2 2
1 3 2
4 3 0
2 4 2
3 2 0
4 4 3
3 1 0
1 4 1
4 0 0
0 0 3
10 5
5 0 3
1 4 1
4 4 0
0 2 3
4 0 1
1 0 4
2 3 5
1 5 3
2 4 5
4 1 2
10 8
0 1 2
1 0 2
2 0 0
0 2 2
1 1 2
2 1 1
2 2 2
1 0 0
0 0 2
2 2 0
10 6
1 0 0
1 1 2
3 3 0
0 1 0
3 2 1
0 3 2
2 0 0
1 1 3
1 3 1
1 3 0
10 4
2 0 0
2 1 0
0 0 2
1 2 1
1 1 1
0 2 1
0 0 0
1 1 2
0 1 0
1 1 0
10 3
4 0 3
2 2 2
2 2 0
0 0 3
0 1 4
3 2 0
0 4 2
0 0 1
2 3 4
1 2 1
10 6
4 4 3
2 3 3
3 4 2
3 4 3
0 3 0
2 3 4
0 0 5
4 4 5
3 1 1
1 1 3
10 3
2 1 3
3 2 2
1 2 3
1 1 2
0 0 2
1 2 1
0 3 3
3 3 2
0 2 3
2 1 2
10 4
2 0 0
0 2 0
0 2 2
2 2 1
2 1 0
0 1 0
1 1 0
1 2 1
0 1 2
0 0 2
10 7
5 4 3
2 3 1
4 4 1
0 4 3
1 5 1
5 2 3
4 1 5
5 1 0
4 1 1
3 4 2
10 7
0 2 2
1 2 0
1 0 0
1 1 1
2 2 1
0 1 0
1 1 0
1 0 1
0 0 0
2 1 2
10 7
3 1 1
2 0 2
2 0 3
1 1 2
2 3 0
0 1 2
0 2 2
1 0 3
1 3 0
2 0 0
10 9
3 4 2
1 1 3
1 0 1
3 5 2
4 3 3
3 0 0
1 2 1
3 5 1
0 0 3
5 5 0
10 7
2 0 3
2 2 0
3 2 4
0 3 2
4 1 4
0 2 2
2 1 1
2 2 2
0 1 4
2 2 3
10 4
0 0 1
1 1 3
4 1 2
3 3 2
3 0 1
3 4 0
2 3 4
0 3 2
1 0 4
0 4 2
10 6
1 0 0
2 0 1
2 1 2
2 2 0
2 0 2
1 3 3
3 3 0
1 2 1
3 3 2
0 3 1
10 3
0 2 0
0 0 1
2 2 1
2 3 1
1 0 2
0 1 0
1 2 2
2 1 1
2 3 3
3 1 3
10 5
4 2 4
2 1 0
1 2 0
2 2 4
0 1 4
1 4 3
4 1 3
2 0 3
0 2 0
3 4 2
10 2
0 0 5
2 0 4
3 3 0
3 5 5
5 5 0
4 1 3
2 1 5
1 1 3
2 5 2
5 2 2
10 3
0 0 2
0 2 1
1 1 1
1 0 2
2 2 0
2 0 1
1 2 0
0 2 2
2 0 0
2 2 1
10 5
2 0 3
3 0 5
0 2 3
4 0 2
5 0 5
0 3 3
5 3 0
1 5 4
2 0 5
3 3 4
10 3
3 0 1
1 0 1
3 2 3
0 3 2
3 0 0
2 3 1
2 1 0
0 0 0
1 2 2
2 2 0
10 8
0 0 1
3 3 0
3 1 0
1 0 1
2 3 0
2 2 3
2 1 2
1 0 0
1 2 0
1 2 1
10 5
3 3 0
3 3 3
1 1 3
3 3 2
3 2 3
0 0 2
0 2 1
1 2 0
2 0 1
2 0 2
10 9
3 0 1
1 0 2
4 1 3
2 1 4
0 0 1
3 2 2
1 1 1
0 2 1
0 1 2
3 2 3
10 8
0 1 2
3 3 3
1 1 1
0 2 0
0 1 3
0 2 2
2 2 1
0 2 1
3 2 2
2 3 3
10 8
0 2 2
1 1 1
1 2 0
1 1 0
3 3 3
1 3 3
1 2 2
0 1 0
0 2 1
0 3 2
10 3
4 4 3
2 0 1
2 5 2
0 2 0
5 3 3
3 5 0
0 3 1
1 5 5
2 5 3
5 1 5
10 3
2 2 1
0 1 2
2 2 2
1 1 1
2 2 0
0 0 0
0 1 0
2 0 2
2 0 1
1 2 0
10 4
1 3 3
1 2 1
1 0 0
0 3 3
1 0 3
2 0 3
0 4 4
3 0 1
4 2 1
0 2 4
10 4
0 3 4
1 2 1
3 2 2
1 1 3
4 3 4
4 1 4
4 1 1
4 2 4
4 0 3
4 4 3
10 4
1 3 1
3 3 3
2 3 3
2 2 3
3 3 2
2 1 0
0 3 2
1 2 2
1 0 0
0 1 3
10 3
2 4 5
1 3 3
0 3 3
3 2 5
3 3 0
5 0 3
1 2 2
2 4 1
4 2 1
3 0 5
10 3
3 2 1
1 1 0
2 0 2
3 3 0
3 0 0
2 2 2
1 3 3
1 1 2
0 3 2
0 1 1
10 5
0 0 0
2 3 3
3 3 0
3 1 1
2 3 0
1 2 1
0 1 2
2 0 1
1 1 3
0 0 2
10 2
0 0 2
2 1 2
1 0 2
1 1 0
2 2 0
0 1 0
0 0 0
1 2 0
0 1 1
2 2 1
10 3
1 3 2
0 4 0
3 0 3
4 1 1
1 1 0
2 0 1
4 4 0
4 0 3
2 0 0
2 2 2
10 4
0 3 2
0 3 1
3 3 1
2 0 1
2 1 0
1 0 0
3 1 1
3 2 0
0 1 3
0 2 2
10 8
3 4 3
3 5 4
3 4 5
5 1 2
5 2 0
5 2 5
4 2 3
1 2 0
5 0 1
0 4 5
10 8
1 1 2
1 5 0
5 4 2
3 1 4
2 4 5
5 5 1
5 3 3
1 0 0
1 2 0
0 5 0
10 6
0 2 3
2 2 4
0 3 3
1 4 0
4 2 2
2 4 1
2 0 3
0 0 3
4 3 5
2 0 4
10 9
3 2 0
0 0 1
1 1 2
2 1 2
2 2 0
0 3 2
0 0 0
2 3 3
1 0 1
3 3 0
10 5
4 4 4
1 1 0
2 3 3
3 0 1
4 3 1
2 1 3
2 2 2
4 0 0
0 4 3
4 4 3
10 2
2 3 4
3 4 4
1 2 3
4 4 0
1 1 3
0 1 2
4 1 3
4 2 0
3 1 4
3 0 4
10 5
2 3 2
0 1 0
3 0 1
3 3 1
2 1 2
0 0 2
0 3 0
1 2 3
1 0 2
0 0 0
10 8
0 1 5
0 1 4
4 5 4
3 2 1
5 2 2
2 1 5
3 0 4
4 4 5
5 3 5
1 5 0
10 2
1 1 3
0 4 2
1 0 3
4 1 3
0 0 3
1 4 2
0 2 3
0 1 4
1 1 1
2 4 4
10 9
2 3 2
2 2 1
3 0 0
0 0 4
4 2 2
2 4 2
1 0 3
0 3 0
3 3 3
2 2 2
10 3
4 2 1
2 0 0
5 0 4
1 3 2
3 1 3
4 0 2
5 2 5
5 3 1
1 2 3
5 2 2
10 5
4 2 3
4 0 1
0 3 1
1 4 0
2 3 2
4 3 4
2 3 0
4 3 1
0 3 3
3 0 1
10 6
0 1 1
2 2 0
1 2 0
3 1 2
3 1 1
1 3 2
2 1 0
2 2 3
2 3 1
0 0 1
10 3
2 0 0
0 5 5
5 4 3
3 3 2
2 3 5
1 2 3
1 4 2
3 0 5
2 3 4
2 1 2
10 3
1 2 0
0 1 0
2 2 0
1 0 0
0 0 0
1 1 1
0 0 1
0 2 2
2 0 0
2 1 2
10 5
2 3 3
0 3 3
0 2 4
1 4 4
2 0 1
2 1 1
4 1 2
3 0 4
1 3 4
0 1 4
10 9
1 3 1
3 4 4
0 2 0
4 1 0
0 2 2
2 3 0
0 1 1
1 1 3
3 1 2
0 1 3
10 8
1 0 0
2 2 3
0 3 1
3 3 2
3 2 3
1 3 3
1 3 2
1 2 0
0 2 3
1 1 0
10 3
0 2 0
2 1 0
0 0 0
2 1 1
2 2 2
1 1 1
0 0 2
1 0 0
2 2 1
2 0 0
10 2
1 2 2
3 2 2
0 1 3
4 1 4
0 2 0
0 1 0
2 4 3
0 3 2
2 2 2
3 2 0
10 5
3 2 0
3 1 0
2 3 2
1 3 2
0 2 0
2 1 2
3 3 0
2 2 0
2 0 1
1 1 0
10 4
3 1 3
0 5 3
4 1 0
4 1 2
0 0 1
1 1 1
2 1 4
2 5 2
2 1 3
3 0 3
10 6
1 1 1
3 2 0
2 0 1
1 0 1
1 0 3
0 0 0
2 0 3
2 0 0
2 0 2
1 2 1
10 4
0 0 0
1 1 1
0 0 2
3 2 3
2 1 2
0 3 3
3 1 1
0 3 0
2 0 0
0 2 3
10 3
0 1 1
2 0 3
3 0 1
3 0 3
3 1 0
0 3 2
1 1 2
2 1 0
1 0 2
1 0 1
10 7
2 0 0
2 0 2
2 2 0
1 0 2
0 2 2
1 2 1
0 1 0
1 0 1
1 2 0
2 2 1
10 2
0 2 5
2 2 0
4 0 2
5 3 5
0 2 3
2 3 0
1 2 5
4 5 1
0 4 2
3 2 0
10 2
0 1 2
4 2 4
5 5 0
3 1 2
1 5 4
5 1 5
2 3 1
5 4 4
1 1 3
4 5 2
10 3
2 0 5
0 2 3
5 4 1
4 4 0
4 2 4
2 3 0
1 3 2
4 2 0
5 2 2
4 2 5
10 5
1 3 3
4 5 3
4 1 2
3 5 3
5 0 3
4 4 1
4 2 0
5 4 4
4 3 1
3 1 1
10 3
0 2 1
1 2 2
2 1 0
0 2 2
1 1 0
1 0 0
1 2 0
2 0 0
1 1 1
1 0 1
10 2
2 3 0
2 4 1
0 4 1
1 0 0
4 3 0
1 1 0
2 2 1
4 2 0
0 2 3
3 4 2
10 2
3 2 5
4 2 5
0 3 5
5 0 5
0 1 5
2 4 4
1 2 0
2 5 4
4 1 2
4 3 1
10 8
4 0 2
2 0 3
0 3 4
3 4 1
4 0 1
3 0 3
0 0 3
4 3 1
0 2 4
0 4 2
10 9
0 2 0
2 2 1
1 3 2
0 3 2
3 4 2
4 1 3
0 1 2
4 4 0
1 1 4
0 4 1
10 7
3 3 2
3 2 0
3 2 3
0 0 0
2 3 2
3 1 3
1 0 3
0 1 2
0 2 0
3 1 0
10 5
1 2 2
0 1 1
2 1 3
1 0 3
2 3 2
0 1 2
3 1 0
2 0 3
2 1 2
0 2 3
10 5
0 1 4
2 0 4
0 3 4
2 0 0
2 3 2
3 3 1
1 3 2
1 4 3
0 4 1
1 2 4
10 4
0 1 2
2 3 3
2 2 1
2 0 2
3 1 2
1 0 3
1 0 2
2 0 1
1 0 1
0 0 2
10 2
1 0 0
2 0 1
0 2 2
1 2 0
0 0 2
0 0 0
2 1 1
0 2 1
2 2 1
2 0 2
10 2
2 1 0
2 2 1
0 1 2
2 0 2
2 0 1
1 2 2
0 1 1
0 2 1
0 2 0
1 0 1
10 5
4 3 1
4 3 4
0 2 1
2 0 1
2 4 0
4 0 4
1 4 2
0 3 0
3 0 3
2 0 3
10 7
3 0 3
2 0 0
1 0 0
1 2 0
3 3 2
0 3 1
0 1 2
3 1 2
0 2 1
0 0 3
10 7
0 2 2
1 4 2
2 4 3
1 3 4
2 1 2
3 1 5
0 4 0
1 5 4
5 3 3
0 3 3
10 8
3 1 3
4 5 4
2 0 5
2 1 2
5 5 1
0 3 2
2 2 3
4 3 4
4 1 4
1 5 5
10 7
1 0 0
0 2 0
3 1 0
2 1 0
1 0 3
2 0 3
3 3 0
3 2 1
3 1 1
2 2 2
10 9
0 3 2
2 4 2
4 4 0
2 0 4
3 4 2
4 2 0
4 3 4
3 1 2
2 3 0
2 3 4
10 2
0 3 1
3 0 2
3 3 1
3 1 1
2 3 1
0 0 0
3 3 3
2 2 1
3 2 2
3 2 1
10 4
1 4 4
1 2 3
1 4 3
1 3 0
0 3 4
1 0 1
1 1 2
4 0 4
1 4 1
2 2 0
10 6
4 2 3
2 2 3
1 1 0
4 4 2
4 3 4
0 3 1
1 4 3
3 2 2
2 1 4
1 1 3
10 6
4 5 0
5 5 5
4 2 0
2 2 2
4 4 0
1 0 5
5 3 3
5 4 3
5 1 5
0 3 4
10 9
1 5 3
2 0 0
0 4 0
4 3 2
0 3 3
2 3 0
0 5 0
2 2 1
3 0 1
4 1 3
10 4
0 5 1
2 0 5
4 3 4
0 0 5
1 5 1
5 0 0
5 1 4
4 1 3
2 4 1
5 4 3
10 4
0 4 5
5 3 2
4 3 2
2 2 3
3 2 3
4 3 5
2 3 3
0 1 3
5 2 1
5 0 5
10 9
1 2 2
1 1 2
1 0 1
2 2 0
2 0 0
0 1 1
2 1 1
2 2 1
0 2 2
0 0 1
10 5
0 3 4
4 2 4
3 3 2
2 3 3
3 2 2
4 1 1
4 0 1
4 3 0
4 1 4
3 0 3
10 7
2 1 4
2 4 2
3 2 2
0 4 3
4 2 1
0 2 2
3 2 3
3 1 3
0 4 0
4 0 0
10 9
0 5 1
3 3 1
1 0 4
4 4 1
1 4 4
5 5 1
2 4 4
2 3 1
2 5 3
3 5 3
10 8
2 3 2
3 0 1
3 3 1
1 1 3
0 0 2
1 3 1
1 3 3
0 3 3
3 2 0
2 1 1
10 6
3 0 0
2 4 0
4 5 2
5 3 1
5 1 1
5 1 5
2 3 1
4 3 5
0 5 5
0 0 2
10 8
1 4 3
2 0 3
1 5 1
2 3 5
3 0 2
4 2 0
2 3 2
5 3 2
1 3 5
3 4 0
10 5
2 3 0
1 4 1
3 0 1
3 2 4
1 3 3
4 4 3
3 1 4
2 3 3
0 0 1
2 2 0
10 3
3 1 1
2 3 0
1 1 1
3 1 0
3 0 2
3 0 3
1 0 0
1 0 2
2 0 3
1 2 2
10 5
1 0 2
2 1 2
2 0 1
3 2 1
2 2 1
0 0 0
3 0 1
1 2 0
3 2 2
1 3 3
10 8
4 1 3
2 3 5
0 0 2
4 0 0
1 3 0
4 5 3
1 2 0
0 1 3
2 5 0
3 5 2
10 5
3 0 3
2 2 5
1 4 1
3 5 2
2 4 4
5 2 2
2 5 1
2 4 5
2 1 5
3 4 2
10 7
1 0 2
2 0 2
0 2 0
2 0 0
2 3 3
0 1 0
3 3 0
1 0 1
1 2 0
0 0 1
10 8
0 4 1
4 2 1
2 3 2
3 2 3
2 3 0
1 1 0
1 4 2
1 2 1
3 3 0
1 3 3
10 9
3 1 1
0 1 2
1 2 1
2 0 2
3 3 1
2 2 2
2 0 0
0 0 1
1 2 0
3 0 1
10 4
2 0 0
1 0 0
2 2 1
1 1 0
0 1 0
2 1 2
0 0 0
0 0 2
0 2 1
1 0 1
10 7
2 0 2
2 1 2
2 1 0
1 0 2
1 1 2
0 0 1
1 0 0
0 2 2
1 1 1
0 0 0
10 3
0 4 3
4 5 1
2 3 4
0 1 4
5 0 2
2 5 2
5 2 4
4 4 3
1 4 2
2 1 1
10 3
3 3 2
0 5 4
1 3 3
0 4 1
5 5 5
3 4 2
0 2 1
2 4 2
1 4 1
5 1 2
10 8
1 2 2
2 1 3
2 0 3
2 2 0
0 3 3
0 3 0
1 3 0
0 1 1
1 0 1
2 0 0
10 9
4 1 4
1 3 2
3 0 1
2 1 3
0 4 3
1 1 2
2 2 1
1 3 4
3 3 0
4 3 3
10 2
3 2 1
1 4 0
2 1 1
3 1 4
2 2 2
1 3 0
0 0 2
2 3 1
3 4 4
0 4 4
10 3
4 1 0
2 3 3
3 4 3
3 3 4
1 4 3
3 2 4
4 1 1
0 1 1
0 4 1
4 2 3
10 3
0 2 2
0 1 2
2 0 0
1 0 0
1 1 1
1 1 0
0 0 2
2 1 2
1 2 0
2 1 1
10 2
0 2 0
1 1 4
4 3 2
4 2 2
2 0 3
0 3 4
0 0 0
0 3 3
1 3 2
2 1 3
10 3
3 2 3
2 2 3
3 3 3
3 3 2
2 0 2
3 3 1
1 1 0
0 0 1
3 0 1
0 2 3
10 2
1 0 2
2 1 1
2 2 0
1 0 1
2 2 2
2 0 0
1 2 1
2 0 1
2 0 2
0 1 1
10 3
1 1 1
3 4 0
0 5 4
3 0 2
4 2 0
1 3 5
5 4 2
4 4 1
1 4 1
3 2 4
10 7
3 0 4
2 0 2
2 1 3
2 4 2
5 3 3
0 4 4
3 3 4
0 3 0
4 3 0
4 2 3
10 4
1 0 0
2 3 2
1 3 1
2 0 0
0 1 3
0 3 1
3 0 2
3 1 0
0 0 3
0 0 1
10 8
0 5 0
3 3 1
0 1 2
2 3 5
3 1 5
0 1 3
2 3 4
3 3 2
2 4 5
0 4 0
10 4
3 1 0
4 0 4
2 2 2
3 3 3
1 1 3
1 2 3
1 3 4
3 3 1
1 2 0
2 3 0
10 6
1 0 0
2 0 2
2 1 2
0 0 1
0 2 2
0 1 2
0 2 0
2 1 0
1 0 2
2 2 1
10 9
3 2 3
1 1 1
0 1 1
1 2 3
2 0 1
2 3 1
0 0 3
3 3 3
1 3 2
0 3 2
10 5
0 2 1
2 3 2
3 3 3
0 0 2
2 3 0
1 2 2
0 0 1
3 1 3
0 2 2
3 1 2
10 2
2 0 2
2 1 1
0 0 1
1 1 0
2 2 2
2 1 0
0 0 2
2 1 2
1 1 2
1 0 1
10 9
3 1 4
2 4 4
3 2 4
2 4 1
2 4 0
4 5 0
2 5 0
3 0 5
0 0 2
0 1 0
10 2
1 3 3
3 0 4
3 3 1
4 0 0
4 0 2
5 1 1
0 0 1
1 2 5
3 5 2
0 2 0
10 9
3 4 1
0 2 4
2 1 4
3 0 2
1 3 1
0 3 4
3 1 0
2 3 4
0 4 3
2 0 3
10 7
3 1 2
2 4 5
4 5 2
1 2 5
2 3 3
1 2 3
0 0 0
5 2 2
0 1 5
3 0 1
10 2
2 4 4
0 2 3
1 2 1
0 0 1
4 2 4
3 1 3
1 4 4
1 1 0
1 0 3
3 0 3
10 3
0 3 5
0 0 0
2 0 2
1 4 0
0 2 2
0 5 1
2 2 4
0 0 2
5 0 5
1 2 0
10 8
0 4 4
4 4 4
1 5 2
2 1 4
1 3 4
4 5 2
1 4 3
1 2 5
0 4 5
4 2 5
10 7
0 4 1
2 4 4
4 1 4
2 3 0
2 0 2
3 0 2
1 3 1
2 3 3
0 1 3
2 0 3
10 6
2 4 4
4 1 3
0 0 3
4 0 2
1 0 1
2 3 1
4 3 3
2 4 2
1 2 3
1 3 3
10 3
1 2 1
1 0 2
1 2 0
2 0 0
0 0 0
2 2 0
1 1 2
0 2 0
0 0 2
0 1 2
10 3
1 2 0
1 1 2
0 0 0
0 0 2
2 1 2
2 2 0
2 2 2
1 1 0
2 2 1
2 1 0
10 7
0 5 4
4 4 1
1 0 1
5 4 1
1 4 0
1 4 1
3 5 0
3 0 1
0 4 1
5 5 2
10 2
2 0 0
1 0 2
0 0 1
1 2 1
0 0 2
0 2 1
0 2 2
1 0 0
2 2 0
2 1 1
10 3
4 4 5
1 2 5
3 3 5
0 0 4
0 1 4
5 0 1
2 1 0
0 2 0
4 4 2
3 1 0
10 3
3 3 3
0 5 4
0 2 1
2 5 4
2 2 4
1 3 1
5 5 4
0 0 0
4 2 2
3 3 5
10 2
0 2 2
0 2 0
2 3 0
1 2 1
1 1 3
3 0 0
2 0 0
0 1 1
0 2 1
3 3 2
10 8
2 1 0
2 0 3
2 0 2
3 3 0
3 2 1
1 2 1
2 3 3
1 3 2
1 0 2
3 0 0
10 3
4 4 2
4 3 4
4 1 3
0 4 1
5 3 4
3 2 1
1 4 1
0 3 3
0 1 3
0 3 1
10 3
3 0 4
1 2 3
4 2 2
0 3 2
2 1 3
1 4 1
2 2 3
0 2 2
3 0 3
1 0 1
10 5
3 2 0
1 0 3
0 2 3
3 2 2
0 0 1
3 3 0
0 2 2
2 3 3
3 1 1
1 2 1
10 4
0 3 1
1 0 1
2 2 1
0 2 3
2 3 3
2 0 2
0 0 2
3 1 2
1 1 0
1 2 2
10 6
1 2 3
3 3 3
1 3 2
0 2 1
0 2 2
0 1 3
2 0 0
1 1 1
2 3 2
1 3 1
10 5
0 5 2
3 0 3
2 5 1
0 2 5
5 0 2
5 5 5
0 1 0
5 2 0
3 1 0
5 3 0
10 5
0 2 1
0 2 2
2 0 0
0 0 0
1 2 0
1 0 2
1 0 0
2 1 0
0 0 2
2 0 2
10 2
1 2 1
0 0 0
2 0 0
1 2 2
1 0 1
1 0 0
2 1 1
1 2 0
1 1 1
0 0 2
10 6
1 0 0
2 2 3
1 1 0
2 3 3
1 3 2
0 2 0
0 3 1
3 0 3
1 2 0
3 3 1
10 3
4 2 1
3 1 2
0 4 4
4 4 3
1 4 4
1 0 4
3 4 3
3 2 1
3 0 1
4 3 0
10 9
3 0 1
0 1 0
2 0 2
1 1 0
3 3 2
1 0 2
3 1 0
1 1 3
3 1 2
2 1 1
10 7
0 0 0
0 1 2
2 1 0
1 0 1
2 0 0
1 1 2
0 2 2
2 2 0
1 0 0
1 1 1
10 7
4 2 0
0 1 4
0 0 2
1 0 1
3 5 1
5 5 1
3 0 0
5 5 5
5 5 0
2 5 4
10 7
1 4 0
3 0 3
2 4 2
0 2 1
0 4 1
2 4 3
3 1 1
0 4 0
0 2 2
4 2 1
10 9
0 4 4
4 0 1
0 4 2
3 2 3
4 0 5
3 1 5
1 2 4
1 3 2
2 4 3
0 1 5
10 7
1 3 2
4 0 2
3 1 0
0 3 0
0 3 3
3 1 3
4 1 0
3 4 0
4 1 1
0 2 1
10 2
3 3 1
0 1 2
0 2 3
4 1 3
0 4 1
1 0 4
3 0 3
3 3 3
4 4 0
2 1 4
10 4
1 3 3
0 2 4
4 3 1
2 4 0
4 1 1
0 2 0
4 1 4
3 2 0
0 0 2
1 3 2
10 5
0 3 3
3 0 0
0 1 1
0 3 0
3 0 2
0 0 0
1 1 3
1 2 3
2 3 0
1 3 2
10 8
3 0 3
1 3 1
3 1 1
3 0 2
1 2 3
3 1 0
2 3 0
1 2 0
3 2 2
1 3 3
10 8
1 2 0
1 2 2
2 2 0
0 1 2
0 0 1
2 0 1
1 0 1
2 0 2
2 1 2
2 1 0
10 9
0 4 4
0 1 4
2 2 4
3 2 3
2 1 3
3 4 1
0 2 4
4 0 4
0 3 4
3 0 0
10 3
4 0 2
1 1 3
3 4 4
0 2 1
4 4 1
3 2 2
1 0 1
1 4 0
2 0 2
2 3 1
10 6
4 1 4
2 2 3
0 0 0
0 2 2
1 0 0
1 3 1
3 3 0
4 3 3
4 2 2
3 0 0
10 2
2 1 3
5 1 0
0 2 4
0 2 3
3 3 2
3 2 4
4 1 1
0 2 5
5 1 1
4 1 4
10 3
3 2 0
1 0 3
2 0 2
3 3 3
1 0 0
1 1 1
4 4 1
2 1 2
3 3 4
1 4 3
10 5
1 0 1
1 0 0
2 1 0
2 2 1
0 1 1
1 0 2
2 1 2
1 2 1
2 0 0
2 1 1
10 6
3 0 1
0 4 0
3 1 4
5 4 1
4 0 5
0 4 4
4 4 2
5 4 5
4 3 0
4 4 1
10 2
3 4 2
3 2 2
1 2 3
2 2 2
1 4 4
4 2 3
3 2 0
1 2 2
2 4 1
2 3 3
10 6
4 1 0
1 2 1
2 0 1
1 4 0
1 0 1
2 2 1
4 1 2
3 0 4
3 3 2
4 4 3
10 6
3 0 0
2 0 0
3 1 3
1 2 0
2 2 0
1 3 1
3 1 1
3 2 1
3 3 2
2 1 0
10 8
4 2 0
3 4 1
0 2 2
2 4 2
2 4 4
1 0 3
3 0 1
4 2 1
4 3 2
1 2 0
10 2
1 0 1
2 0 2
2 0 0
2 2 1
0 0 0
1 1 1
1 2 1
2 2 2
1 2 0
2 1 2
10 4
4 5 4
3 5 1
0 3 2
4 5 1
1 5 2
1 3 1
1 1 3
4 3 2
1 0 4
4 3 0
10 8
2 3 0
4 1 4
0 1 3
4 2 0
2 2 2
1 3 3
2 0 4
4 0 1
3 1 0
3 2 0
10 9
2 0 0
3 3 2
2 1 3
0 3 2
4 0 2
2 3 3
2 2 3
1 4 0
0 0 3
2 4 2
10 7
4 1 2
0 4 0
1 2 1
1 4 4
5 2 3
3 0 3
5 3 3
0 1 4
1 2 5
1 4 0
10 7
1 0 1
0 1 0
1 0 2
1 2 0
1 1 1
2 1 0
1 1 0
0 0 0
0 1 1
0 2 2
10 7
0 1 2
0 2 2
2 3 1
0 3 2
1 3 3
3 3 0
3 0 0
2 1 3
3 1 3
1 0 1
10 4
3 2 3
0 4 4
1 5 5
2 3 4
3 2 2
2 2 1
5 5 4
4 3 4
3 0 3
1 0 2
10 7
0 3 1
2 2 4
5 2 0
4 0 2
4 5 0
4 0 0
5 2 4
1 3 5
0 2 0
4 4 5
10 7
2 0 1
1 2 1
1 2 2
1 1 0
0 1 2
2 1 0
0 2 1
1 0 1
0 2 2
1 1 1
10 5
0 2 0
2 3 1
0 1 2
0 0 0
1 2 3
2 2 2
1 2 0
2 0 0
0 2 3
3 0 2
10 2
4 4 5
3 4 3
1 2 2
2 2 3
0 4 0
2 5 2
1 2 4
3 5 2
5 3 3
2 2 2
10 2
0 2 0
2 1 0
3 2 2
1 2 3
0 2 2
0 3 2
3 1 1
3 0 1
0 2 1
1 0 0
10 3
0 0 1
0 1 2
1 0 2
1 0 0
0 0 2
1 2 2
1 2 1
2 2 1
1 1 1
0 2 1
10 8
0 0 1
1 1 0
0 1 0
0 1 1
1 1 2
0 0 0
1 0 1
2 2 1
0 2 1
0 2 0
10 2
3 1 3
4 3 3
0 2 2
0 3 1
0 0 2
1 0 4
1 3 0
0 2 3
4 1 0
4 3 2
10 9
1 2 2
2 1 0
2 1 2
0 1 2
1 2 0
1 0 1
2 0 2
1 0 2
2 0 1
1 1 0
10 2
2 0 2
0 1 1
2 1 1
2 1 0
1 0 2
0 1 2
0 0 1
1 1 1
0 2 0
1 2 1
10 6
3 1 3
1 1 1
0 0 0
0 0 2
2 0 1
1 0 2
0 1 3
1 0 3
2 0 3
0 2 2
10 7
2 0 1
0 0 2
0 1 0
0 0 0
2 1 2
0 1 1
2 2 2
1 1 0
0 2 1
0 1 2
10 8
3 2 1
1 1 1
1 2 0
0 2 0
3 3 2
2 1 1
0 0 2
2 3 0
1 0 0
2 3 3
10 4
1 0 0
2 0 2
1 0 1
1 1 0
2 1 2
2 0 1
1 0 2
2 2 1
1 2 1
1 1 1
10 8
0 2 4
4 3 4
0 4 1
3 5 5
5 1 1
2 3 1
5 3 1
1 2 0
0 5 0
2 5 3
10 6
4 3 2
2 4 3
4 1 4
3 0 2
1 4 0
3 2 0
3 4 4
4 4 0
3 1 1
1 0 1
10 6
2 2 2
0 1 4
0 4 5
2 5 0
1 4 5
1 1 2
5 5 0
1 1 0
1 0 5
1 2 2
10 3
4 0 0
3 4 3
3 0 0
1 0 3
2 2 2
1 0 2
3 4 1
4 1 4
0 3 2
1 3 0
10 9
2 3 0
0 3 2
0 2 2
3 1 4
1 0 0
3 0 0
0 2 0
0 1 0
2 2 2
2 4 2
10 7
1 0 0
2 0 1
3 1 0
0 0 4
2 2 3
1 3 1
1 4 0
4 3 0
2 4 2
2 2 0
10 3
1 1 3
2 2 1
0 3 3
0 3 1
0 1 3
1 3 1
0 3 2
2 0 2
0 0 1
2 3 1
10 5
1 2 2
0 3 1
3 0 2
0 3 0
0 0 0
3 0 0
3 2 0
2 2 3
0 1 3
3 3 2
10 2
0 2 2
2 0 1
2 1 1
1 0 0
1 1 2
1 2 0
2 2 0
2 2 2
0 1 1
0 2 1
10 2
3 2 0
4 0 1
3 2 4
1 1 4
2 4 2
3 2 1
2 0 1
4 1 4
3 3 2
3 4 2
10 4
3 1 2
3 3 1
2 1 1
3 3 0
2 0 1
1 1 0
1 2 0
0 2 2
3 0 1
1 1 2
10 9
0 0 0
0 4 4
3 3 4
0 2 4
3 3 3
0 1 2
0 4 2
3 3 1
3 1 2
4 3 3
10 7
0 5 2
4 0 1
2 3 5
1 0 0
3 2 4
3 2 3
4 3 0
3 5 1
5 5 5
4 0 3
10 5
0 0 1
1 1 0
1 2 0
2 0 1
1 1 2
2 2 1
1 1 1
0 1 2
2 1 1
2 0 0
10 3
0 0 1
2 1 1
1 2 0
1 1 2
1 0 0
2 2 2
1 2 2
0 1 0
1 0 1
2 1 0
10 9
2 0 2
1 3 4
4 2 1
1 1 3
3 0 2
0 0 2
0 3 0
2 4 2
3 2 4
1 3 0
10 2
1 2 1
1 2 2
0 0 2
0 2 2
1 1 1
2 0 2
0 2 1
0 1 1
1 0 1
0 0 1
10 5
0 2 2
0 1 0
1 2 2
3 3 0
2 2 0
2 2 2
3 3 3
1 3 2
1 1 2
2 1 2
10 8
0 0 0
1 0 2
2 2 0
1 1 0
0 1 0
0 2 2
2 2 1
0 1 1
0 0 1
1 2 2
10 4
0 0 1
4 0 3
3 1 3
1 4 4
1 0 1
4 2 4
2 0 4
1 0 4
4 4 0
4 1 1
10 8
2 2 0
0 1 2
3 0 1
3 0 0
0 2 1
3 2 1
1 0 2
2 1 2
1 3 3
0 1 3
10 9
2 0 0
0 2 0
1 1 1
0 4 3
0 5 4
2 2 1
0 3 0
4 5 0
3 1 5
5 0 4
10 3
4 3 2
0 0 3
1 4 3
3 4 3
0 4 0
0 3 1
2 2 1
3 4 0
3 2 3
1 1 2
10 9
2 2 0
2 2 2
2 2 1
2 0 1
1 1 2
1 2 2
2 1 0
0 2 0
2 0 0
1 1 1
10 5
4 3 5
1 1 1
2 0 2
1 5 4
3 1 5
0 0 3
1 4 5
3 4 0
3 1 1
5 0 2
10 2
3 1 2
3 0 4
1 1 2
2 1 4
2 3 3
3 3 1
1 0 1
3 4 4
0 1 1
0 2 0
10 4
1 0 2
2 2 1
1 2 3
0 3 3
1 2 1
3 0 3
2 0 0
0 0 1
2 3 2
3 1 0
10 4
1 4 4
4 0 1
3 1 2
1 4 1
4 2 3
2 4 4
1 3 0
2 1 3
3 0 4
3 2 4
10 5
1 1 2
2 2 0
1 0 0
0 1 1
0 1 0
0 0 1
1 1 0
0 0 0
1 2 1
1 1 1
10 4
5 2 2
3 4 1
3 1 5
0 5 2
4 4 2
1 2 5
0 1 5
0 3 0
2 3 0
2 0 4
10 3
0 2 0
0 2 1
1 2 0
0 1 0
2 1 1
0 1 2
1 2 2
2 1 0
1 2 1
2 1 2
10 3
0 1 0
1 1 3
2 3 2
3 2 2
3 3 1
1 3 0
0 1 1
1 0 1
0 3 3
3 1 3
10 5
4 5 4
4 1 2
0 4 4
0 2 2
2 3 2
5 5 5
5 4 3
1 1 0
2 1 4
0 1 0
10 7
3 0 0
0 1 1
0 4 2
3 4 1
3 2 0
1 2 3
2 0 2
4 4 0
4 3 3
4 2 4
10 6
2 2 1
0 1 0
1 2 0
0 1 2
2 3 2
3 1 3
0 2 2
1 0 0
1 0 3
1 1 1
10 9
1 3 2
2 0 1
0 2 1
3 1 2
1 2 1
0 2 3
1 0 0
2 3 3
3 0 3
0 1 2
10 8
4 1 4
2 5 5
3 2 3
4 3 2
2 4 4
3 5 2
5 0 5
0 1 2
4 2 4
4 3 4
10 9
5 1 5
5 3 3
3 4 4
4 0 4
4 5 5
4 2 1
4 4 0
3 2 3
2 5 1
1 4 2
10 6
2 2 2
0 2 2
1 2 2
2 1 1
1 1 2
2 0 1
0 0 2
0 1 1
1 2 0
2 1 2
10 4
0 5 4
0 3 5
5 3 0
0 0 1
5 1 3
1 2 1
4 3 4
1 1 2
1 2 3
1 5 5
10 4
2 1 2
1 1 1
2 2 0
1 2 2
1 0 1
1 2 1
2 0 2
0 2 2
0 1 0
2 1 1
10 4
2 2 2
1 2 3
3 0 0
0 1 1
3 2 0
0 3 1
1 2 2
3 0 1
0 3 2
3 3 0
10 5
3 0 3
0 0 0
2 2 2
1 1 3
3 3 0
3 2 2
1 3 2
3 3 2
2 0 0
1 1 0
10 6
4 1 5
1 2 2
2 1 3
4 1 2
2 2 0
0 5 0
3 0 4
0 1 4
1 2 1
5 5 1
10 2
4 3 4
3 4 1
1 4 1
0 4 1
4 1 3
4 0 0
4 0 1
4 0 3
2 1 3
1 0 2
10 3
0 0 0
0 2 2
0 2 0
1 1 0
0 2 1
2 1 1
2 1 0
2 0 2
2 0 0
2 2 0
10 2
1 2 0
1 2 2
3 4 0
2 0 4
4 4 4
3 1 2
2 4 3
2 1 3
1 4 2
4 4 3
10 9
2 4 1
1 0 1
3 3 3
4 2 2
0 4 3
2 1 2
3 2 3
1 3 0
4 0 1
2 0 1
10 2
0 2 1
0 2 2
1 1 3
5 4 0
1 3 0
4 1 4
5 3 3
2 2 5
1 2 5
0 1 4
10 7
3 2 1
0 5 2
2 4 0
3 2 4
5 5 4
4 5 5
0 0 4
3 0 2
0 4 2
0 4 1
10 7
4 4 2
2 2 0
3 2 4
3 4 1
4 1 3
3 2 1
1 3 2
1 4 3
4 3 0
2 3 2
10 9
1 2 1
0 0 1
2 2 0
2 1 2
2 1 1
0 0 2
2 2 2
1 0 2
1 1 0
2 0 0
10 7
0 0 2
0 1 1
2 1 1
1 2 0
2 0 2
1 1 0
2 2 1
1 2 1
0 2 0
0 1 2
10 2
2 1 2
0 1 2
2 0 1
1 0 2
0 1 0
0 0 1
1 0 1
2 0 0
1 2 1
1 1 0
10 9
1 2 2
2 1 1
2 3 0
1 3 0
0 1 2
2 3 2
0 0 2
2 1 3
2 0 0
3 1 2
10 5
3 4 2
4 4 1
0 0 4
0 2 3
0 1 2
1 4 3
1 3 1
1 4 0
0 3 3
2 0 4
10 2
2 2 0
0 1 2
1 1 0
0 1 1
0 0 2
1 2 1
0 2 1
2 1 1
2 1 0
1 0 0
10 3
0 0 1
1 2 0
2 1 0
2 1 2
1 1 1
2 2 2
0 0 0
0 1 1
1 0 2
1 2 1
10 9
2 3 0
4 1 2
1 3 0
0 1 0
1 1 1
0 1 3
3 0 4
4 2 4
2 0 4
1 3 3
10 4
3 1 3
1 1 1
1 2 0
2 0 3
3 1 2
2 3 1
1 3 0
1 3 3
0 0 2
3 3 3
10 6
2 1 1
1 1 1
1 2 2
1 0 0
2 0 0
0 0 0
2 2 0
0 2 2
1 2 0
2 1 2
10 3
1 0 0
1 1 0
0 2 2
2 2 2
2 0 0
1 1 2
2 1 1
0 0 1
0 0 0
2 0 1
10 6
0 0 1
1 0 2
1 2 0
2 2 2
0 2 0
0 1 0
2 2 0
2 1 2
2 1 0
0 0 0
10 5
4 2 0
3 4 2
3 1 4
0 3 4
2 2 4
3 2 3
3 4 0
2 1 4
4 4 2
4 0 0
10 3
1 0 2
1 1 0
2 2 2
1 1 2
0 0 1
0 1 0
0 0 2
2 0 0
1 2 1
0 2 2
10 7
3 1 2
2 1 2
3 1 1
2 1 0
0 1 0
1 0 1
3 0 0
2 0 3
0 1 2
0 3 0
10 8
0 4 4
2 1 1
2 2 0
0 2 1
0 3 3
2 2 4
4 3 2
0 4 3
2 0 1
3 3 4
10 4
3 3 5
3 4 5
5 1 0
4 5 2
0 1 0
3 5 0
3 0 3
3 3 2
2 1 3
2 1 5
10 7
0 1 2
0 1 0
3 2 0
3 3 1
0 2 2
1 3 2
1 0 3
0 0 3
2 2 0
2 0 1
10 7
1 1 0
3 1 2
1 0 0
3 1 1
0 0 0
2 3 0
0 2 1
0 3 0
2 3 3
0 2 0
10 2
2 2 0
1 1 1
1 0 2
1 2 1
1 2 2
0 2 0
2 0 2
0 1 0
0 0 2
1 1 0
10 7
3 3 2
0 3 1
0 3 0
3 2 1
1 0 2
2 1 0
1 0 0
3 1 2
1 3 2
1 2 2
10 9
0 0 1
3 2 4
1 0 1
5 2 4
2 4 5
3 5 2
4 2 0
3 2 2
2 3 5
3 0 0
10 9
3 2 0
2 0 3
0 0 0
2 2 1
2 2 3
0 2 3
3 1 0
2 3 2
3 0 1
1 2 2
10 6
3 4 1
3 5 5
2 2 3
2 0 0
3 0 5
0 5 4
2 4 4
3 5 2
2 5 5
0 5 5
10 7
0 4 1
3 0 2
5 2 4
3 3 4
1 5 4
0 4 5
5 3 4
1 2 5
0 0 1
2 5 4
10 7
4 2 2
4 5 0
1 2 5
4 0 4
0 5 0
5 1 5
1 2 2
0 1 2
5 0 1
1 5 1
10 4
1 2 0
1 1 2
1 3 3
1 0 3
2 0 1
2 2 0
2 2 3
3 1 2
1 1 3
0 2 2
10 7
0 0 0
2 3 0
1 0 2
0 2 0
3 2 1
3 1 2
1 1 0
2 3 3
1 2 1
1 2 2
10 7
0 0 1
2 2 2
1 0 0
2 1 0
2 0 1
2 2 0
1 1 2
2 0 0
0 2 0
1 1 1
10 8
1 0 2
3 3 4
4 2 4
0 1 0
3 0 4
4 0 2
3 2 0
2 0 4
0 2 4
2 1 4
10 2
2 0 2
1 0 0
2 2 2
1 2 2
0 2 0
1 1 1
2 1 0
1 0 2
0 2 2
2 2 1
10 6
0 1 3
1 2 0
1 3 4
2 2 0
2 0 2
1 3 3
3 2 0
4 2 0
3 2 1
2 2 3
10 8
0 2 2
0 0 2
2 2 0
0 0 1
0 1 1
1 0 2
1 0 0
2 2 2
2 0 2
2 0 0
10 4
0 2 0
1 3 3
3 3 2
2 2 0
2 3 3
1 0 0
0 0 0
2 2 3
3 0 0
1 0 1
10 9
0 2 1
0 0 0
1 2 0
0 2 2
0 2 0
1 1 0
0 1 1
2 2 1
2 1 2
0 0 1
10 9
2 1 2
4 1 2
4 1 3
1 0 3
3 1 1
3 2 1
2 1 3
2 2 4
0 0 2
4 0 4
10 4
0 0 2
2 1 0
2 0 1
1 0 0
1 0 2
1 1 0
2 0 0
0 2 2
1 2 0
0 1 0
10 8
1 0 1
1 2 1
0 0 0
1 1 2
0 2 0
2 2 1
1 0 0
0 1 0
2 1 2
0 2 1
10 2
3 3 3
2 0 0
3 0 1
2 2 3
0 2 2
0 1 2
0 3 1
3 0 0
3 3 1
1 0 3
10 3
1 0 1
0 3 1
2 3 2
3 1 3
2 0 1
0 1 2
2 2 2
0 1 0
2 0 0
0 0 0
10 4
0 0 1
1 4 0
2 3 3
4 2 3
3 4 4
0 4 3
2 2 4
1 0 0
2 0 1
1 0 4
10 7
1 0 1
1 1 1
4 3 2
3 3 2
3 4 0
1 3 4
4 3 4
0 0 2
2 2 4
3 2 4
10 2
2 2 3
0 4 1
3 4 0
4 1 0
3 1 3
4 0 1
3 2 0
0 4 0
2 1 4
0 0 0
10 8
0 1 0
0 1 3
2 1 3
0 1 2
1 1 1
1 3 1
3 2 2
3 1 2
2 2 2
3 0 0
10 2
1 2 0
2 1 1
2 2 4
4 1 0
1 5 2
4 0 2
4 5 4
2 3 2
0 2 2
1 5 0
10 6
1 2 1
1 2 2
0 2 3
1 1 3
1 3 1
3 1 1
0 3 2
0 3 0
0 0 2
2 3 3
10 7
2 0 0
1 1 1
0 1 1
0 2 0
2 0 1
2 1 0
1 2 1
1 2 2
1 0 2
2 2 0
10 2
5 4 0
0 3 3
3 4 5
1 0 0
1 2 4
2 1 3
2 0 5
2 1 1
5 4 3
3 2 2
10 4
2 5 4
1 0 0
3 4 4
4 4 0
0 3 3
2 4 0
5 1 0
5 0 0
0 0 3
0 0 4
10 8
3 3 2
2 3 2
0 1 0
3 2 2
0 3 1
2 0 1
1 0 3
0 3 0
1 1 2
1 0 2
10 3
0 1 0
4 2 4
1 5 0
5 2 4
1 0 5
3 5 5
3 4 3
1 1 4
5 2 5
3 2 0
10 8
1 0 1
2 1 0
1 2 1
2 2 1
0 2 0
0 2 2
0 1 0
2 2 0
0 2 1
1 1 1
10 5
0 2 5
1 3 1
3 3 5
3 0 3
0 3 4
1 3 0
2 5 5
0 0 0
1 2 4
0 1 3
10 4
2 3 1
5 4 1
5 5 2
2 1 0
5 2 0
3 1 3
1 2 3
0 0 3
3 4 4
0 4 3
10 3
0 1 1
0 3 1
4 3 3
3 0 2
4 1 2
0 3 3
3 2 1
1 4 0
0 1 3
4 0 3
10 7
2 2 0
1 0 1
2 1 2
0 1 2
3 1 2
3 1 0
3 3 1
3 0 2
0 0 0
3 3 0
10 2
3 1 0
5 3 3
4 1 0
3 5 3
2 1 3
0 2 2
1 3 4
5 4 5
0 1 5
1 4 5
10 3
2 5 0
0 3 3
2 3 4
0 4 5
1 0 1
3 5 3
0 5 0
3 0 3
3 5 2
1 5 2
10 5
0 1 3
2 1 1
3 2 4
1 4 2
4 0 0
4 2 0
3 0 2
4 2 1
1 4 1
4 4 4
10 5
1 2 3
2 3 2
3 2 0
1 1 2
3 1 0
3 2 1
1 2 2
1 0 3
0 0 0
1 3 3
10 4
0 1 0
2 0 1
0 0 2
1 0 1
0 2 1
2 2 0
1 0 0
2 2 2
2 0 2
1 2 2
10 3
1 2 0
3 3 1
3 0 0
1 0 0
3 2 1
1 3 2
1 2 2
0 3 1
2 2 1
1 3 3
10 2
2 0 2
1 1 2
1 1 1
0 0 1
1 0 0
0 2 2
1 1 0
2 0 0
1 2 2
1 0 2
10 5
2 0 1
5 1 5
3 3 4
4 1 1
3 5 0
5 3 3
5 1 4
4 3 2
4 2 1
4 2 2
10 9
4 3 1
1 2 5
3 5 5
0 2 3
2 4 1
0 5 1
2 2 0
4 2 4
2 3 4
5 3 1
10 2
4 3 2
2 4 1
1 0 0
1 3 4
4 3 4
4 4 1
3 0 0
2 3 4
0 1 0
3 2 4
10 7
3 4 2
0 0 2
2 1 3
0 3 0
1 1 0
1 3 3
3 0 0
0 0 1
4 0 4
2 1 0
10 5
0 0 2
3 3 0
1 2 3
2 3 0
1 0 3
0 1 0
1 3 0
3 0 1
1 1 1
3 2 2
10 6
0 1 2
0 2 1
1 1 0
1 2 2
0 1 1
0 0 2
0 2 2
1 0 0
2 1 2
2 1 0
10 8
4 2 0
2 2 2
3 2 1
1 2 4
4 5 1
3 5 4
3 3 3
1 1 4
0 5 2
4 4 5
10 3
2 0 1
2 0 0
0 1 2
1 0 2
0 2 0
1 1 2
0 0 0
0 0 1
0 2 1
0 1 1
10 3
3 2 4
1 1 0
2 5 5
0 0 4
5 2 2
0 3 3
4 3 2
3 5 1
3 4 2
3 2 2
10 4
0 0 2
0 1 1
1 1 0
1 1 2
2 0 0
1 0 0
2 1 0
0 1 2
2 0 1
0 0 1
10 9
2 4 4
5 0 3
3 1 3
5 0 1
0 5 1
0 3 5
4 5 5
4 2 3
3 4 4
2 3 2
10 3
2 4 2
4 1 4
4 2 0
2 2 4
4 2 2
3 3 0
1 2 3
0 1 4
4 1 3
3 0 4
10 6
2 0 0
2 0 1
0 0 1
1 1 1
1 2 0
0 1 1
1 2 2
1 1 0
0 2 1
2 1 0
10 3
2 0 0
1 2 0
2 2 1
2 0 2
0 1 2
1 1 0
2 1 0
0 2 1
2 2 0
0 2 0
10 4
3 2 2
1 1 0
1 3 0
2 2 1
3 0 1
2 1 1
3 2 1
3 1 0
2 2 0
0 0 1
10 7
0 2 0
0 0 1
2 0 2
1 1 1
2 0 0
1 1 2
1 1 0
1 0 1
2 1 2
2 2 0
10 8
0 0 1
0 1 1
2 1 2
1 2 2
2 0 1
1 2 1
1 0 1
1 0 0
2 2 1
1 1 0
10 5
1 2 2
0 1 1
2 1 0
1 0 0
2 1 1
2 2 1
0 2 0
0 0 0
2 1 2
2 0 2
10 3
2 0 2
1 2 2
2 1 0
2 1 2
0 0 2
0 2 1
0 1 0
1 1 2
2 2 1
2 0 1
10 6
2 0 2
1 0 0
0 0 0
2 2 2
0 0 1
0 1 1
0 0 2
0 2 1
1 2 1
1 0 1
10 6
0 0 2
1 1 1
1 0 0
1 1 0
0 1 2
2 1 2
2 0 0
1 0 1
2 2 2
2 0 1
10 5
0 0 0
0 0 1
1 0 2
0 1 0
2 0 2
2 0 1
2 1 2
1 1 0
1 1 2
0 1 1
10 4
3 2 2
3 4 4
2 2 4
3 2 3
4 3 2
4 2 2
2 1 1
0 1 4
3 0 1
3 2 4
10 9
2 3 2
3 1 1
0 0 3
3 1 3
2 1 1
1 1 1
2 0 0
1 2 0
0 2 1
1 3 1
10 3
0 4 2
4 3 3
3 4 3
1 4 3
4 0 2
1 3 1
4 3 2
3 3 4
1 4 0
2 3 2
10 9
3 2 0
2 0 1
3 3 0
3 2 1
2 1 0
1 0 4
2 3 0
2 0 2
4 1 4
2 2 4
10 2
3 2 1
1 4 2
0 3 1
4 2 0
0 2 4
1 0 3
2 0 2
2 1 3
0 1 0
0 3 3
10 4
5 3 2
2 1 5
1 3 3
2 3 1
2 1 1
0 0 4
0 4 0
2 5 3
4 4 1
1 4 3
10 2
0 2 2
5 4 4
1 1 5
4 5 0
1 0 2
0 2 3
4 5 4
0 3 4
5 5 3
3 0 3
10 5
0 2 2
0 1 2
0 0 1
2 1 2
1 1 2
1 1 0
0 2 0
2 1 1
1 2 2
0 2 1
10 9
0 5 1
4 3 1
1 2 0
5 2 2
0 1 2
0 4 5
5 5 0
1 1 2
1 4 2
2 0 1
10 8
2 5 4
4 1 0
5 2 2
0 4 2
5 5 2
4 4 1
1 3 3
2 5 0
3 2 5
5 5 5
10 6
3 3 1
0 2 3
0 0 1
2 2 0
2 0 0
1 2 2
3 2 1
0 1 3
1 3 3
0 0 2
10 6
3 0 0
3 0 2
3 0 3
3 1 0
1 1 2
3 3 0
2 2 0
3 0 1
2 3 3
2 0 0
10 2
4 4 3
3 1 2
3 2 2
1 4 4
3 0 4
3 1 1
2 3 2
2 3 4
1 2 2
2 4 2
10 7
1 3 3
3 2 3
3 0 2
1 1 0
3 3 2
2 3 3
1 3 0
3 2 0
1 1 2
1 3 2
10 8
1 2 0
3 0 2
3 3 3
0 1 3
2 2 0
2 3 2
0 1 2
1 0 2
0 0 0
0 2 0
10 9
4 2 0
4 3 0
4 3 1
3 0 4
2 3 3
3 3 1
1 4 2
3 1 1
1 4 4
2 3 4
10 7
2 2 1
2 2 0
2 1 0
1 2 2
2 0 0
0 0 1
0 1 1
0 2 2
1 0 1
0 2 1
10 2
2 2 0
3 2 2
3 1 2
1 0 2
1 1 1
2 3 2
3 0 3
3 0 1
2 0 4
1 4 0
10 8
5 3 5
0 5 4
3 0 5
3 3 2
3 4 0
3 5 3
0 4 2
4 0 3
1 4 4
0 2 1
10 5
4 5 3
3 4 0
5 4 1
0 1 0
0 1 2
0 1 1
4 1 3
4 2 4
0 0 3
4 1 4
10 3
1 0 0
0 1 2
1 0 1
0 0 2
2 2 1
1 1 2
0 1 1
2 1 1
0 2 0
1 2 1
10 8
5 0 5
5 5 5
3 4 3
1 4 4
2 4 5
1 2 2
2 2 2
3 3 4
5 3 0
5 1 0
10 5
0 2 0
0 0 1
2 0 0
0 1 2
2 1 0
2 2 0
1 0 1
0 1 1
2 0 1
1 0 0
10 7
2 3 3
3 2 0
3 0 1
0 2 4
3 2 1
3 3 0
0 4 0
2 4 2
4 2 3
0 1 4
10 9
1 0 1
3 1 1
2 2 1
1 2 1
0 3 1
0 2 2
1 0 3
2 1 0
0 1 2
3 3 0
10 3
0 0 0
1 0 0
2 1 2
1 1 0
1 0 1
2 2 0
1 1 2
0 1 0
1 1 1
2 0 1
10 2
0 0 0
2 1 2
0 1 2
0 1 0
1 2 1
2 0 2
1 1 2
2 2 2
2 2 1
1 1 0
10 7
1 0 2
4 3 1
3 1 0
2 0 2
3 0 0
0 2 2
3 0 4
0 2 4
2 1 4
0 0 0
10 7
2 0 1
2 1 2
0 2 0
0 0 0
2 2 0
2 0 0
2 2 2
2 0 2
2 1 0
1 2 1
10 4
4 2 5
5 0 3
0 3 3
2 1 3
5 2 5
5 4 4
3 2 2
4 1 4
5 3 4
3 1 1
10 7
4 3 2
1 4 2
1 0 0
4 2 1
1 3 0
0 1 1
2 0 1
3 3 2
4 2 2
3 1 3
10 9
0 1 0
2 3 2
4 5 0
5 5 3
1 4 2
4 3 4
4 4 0
4 1 1
0 2 1
1 5 1
10 3
0 4 2
2 1 0
0 4 4
4 0 4
0 2 0
3 3 0
4 2 1
4 2 2
4 4 4
1 2 3
10 4
4 5 5
0 3 2
2 5 5
5 0 3
4 1 2
5 4 5
4 4 0
4 1 3
4 1 0
0 1 1
10 2
1 0 2
2 0 0
0 2 1
0 2 2
1 0 0
1 2 1
0 1 1
2 0 2
0 0 0
1 0 1
10 8
5 5 0
4 5 1
5 5 3
2 5 2
4 3 5
4 0 5
5 3 2
2 4 0
1 4 1
3 4 1
10 9
0 1 0
2 2 0
2 1 0
2 2 1
2 1 1
0 2 2
0 2 0
2 0 2
0 1 2
1 0 1
10 7
0 1 0
1 1 2
2 1 1
0 2 2
1 1 0
0 2 0
2 0 0
2 2 1
0 0 1
1 2 2
10 7
2 2 0
1 4 0
3 4 3
0 4 1
4 4 4
1 4 1
4 2 4
4 1 0
1 2 0
3 1 2
10 5
2 1 1
1 2 0
0 2 2
1 0 0
1 1 2
1 0 1
1 2 1
1 2 2
0 1 0
2 0 2
10 8
0 2 5
3 1 2
4 0 5
2 2 1
0 1 3
2 0 3
4 1 1
2 2 3
3 2 1
1 3 3
10 7
1 4 4
4 3 4
2 1 1
1 4 3
2 1 2
0 4 1
4 0 3
3 2 3
1 1 4
4 4 0
10 7
3 2 5
0 1 1
4 4 0
3 4 3
2 2 2
4 2 2
0 5 3
2 3 3
1 4 0
4 0 3
10 2
1 2 1
1 1 0
1 0 2
0 1 1
0 0 0
0 2 2
0 2 1
2 1 0
0 0 1
0 2 0
10 9
1 0 0
1 1 3
1 5 3
3 3 2
2 0 3
5 4 2
0 0 1
1 2 3
3 4 1
3 3 1
10 3
1 1 0
2 2 0
1 2 2
2 2 1
1 2 1
2 1 2
2 2 2
2 1 1
1 0 2
2 0 0
10 7
2 4 3
1 2 1
1 3 2
0 4 0
4 4 4
3 2 2
4 1 2
0 3 4
3 0 0
1 4 4
10 8
2 0 0
2 0 1
0 0 1
1 0 2
2 1 2
2 1 1
1 0 0
1 2 2
1 2 1
2 0 2
10 2
5 2 0
0 2 0
4 2 0
2 5 4
1 5 4
1 2 1
0 0 1
3 0 5
2 0 2
5 2 2
10 8
0 1 1
0 2 1
2 2 2
0 0 1
0 0 0
2 0 0
1 0 1
2 0 1
2 2 0
0 0 2
10 7
1 3 0
0 0 1
2 0 2
1 0 0
2 2 3
0 2 0
0 2 1
2 0 3
3 2 1
0 2 3
10 7
3 2 1
2 5 1
2 0 4
2 0 5
3 5 3
4 2 5
4 5 0
4 2 0
5 1 5
0 0 3
10 4
2 1 0
0 0 2
0 1 1
0 2 0
1 3 2
3 1 2
2 0 0
0 1 2
0 3 1
2 1 3
10 4
4 4 4
1 0 2
3 5 5
0 0 2
2 5 1
0 3 5
3 3 2
1 5 1
3 2 3
3 3 0
10 9
1 0 1
2 0 0
0 1 2
0 1 1
1 2 1
2 0 2
1 1 2
2 1 2
1 2 0
2 2 1
10 4
5 2 1
0 1 3
4 5 3
1 4 2
1 0 4
2 5 4
3 2 1
4 2 2
0 1 4
3 4 5
10 9
1 3 4
4 3 1
1 3 5
1 4 1
4 0 3
5 5 4
4 5 3
1 3 3
3 2 0
0 1 3
10 7
3 2 3
3 3 2
1 0 3
0 3 1
3 3 0
2 1 1
1 1 1
2 0 2
0 3 2
2 0 3
10 3
0 0 1
1 0 1
1 1 0
0 2 2
1 1 1
2 2 1
1 2 2
1 0 0
1 1 2
0 2 0
10 6
2 0 3
2 0 2
1 1 2
0 1 2
1 0 2
2 1 2
3 2 0
1 3 1
3 0 0
2 3 3
10 6
4 4 3
4 4 0
3 2 0
0 0 4
4 0 1
1 2 4
1 3 2
1 4 2
3 0 4
0 4 3
10 8
1 0 2
2 1 2
1 1 0
2 1 0
1 2 0
1 1 1
1 0 0
0 2 2
2 2 0
1 2 2
10 3
3 2 2
2 2 0
0 1 0
0 1 2
0 3 0
3 3 0
3 0 3
1 2 2
1 2 3
0 2 1
10 8
1 2 0
2 1 0
1 0 0
2 0 2
2 1 1
0 0 2
0 2 0
2 1 2
0 0 0
2 2 2
10 9
0 0 2
1 0 1
3 0 3
2 1 3
3 3 1
1 2 0
0 3 3
3 2 1
2 1 1
1 3 2
10 9
3 3 0
3 4 4
2 0 0
2 4 0
3 0 1
2 1 2
4 1 4
2 4 1
4 2 2
4 0 3
10 3
5 4 3
4 3 5
5 1 5
1 1 4
2 5 1
3 2 5
2 3 0
0 2 3
4 4 1
3 1 0
10 6
0 3 2
4 2 3
0 3 0
2 3 2
2 2 4
4 1 1
5 2 1
4 3 1
0 0 5
0 4 1
10 2
2 2 2
1 2 2
1 0 2
0 0 0
0 2 2
2 0 2
0 2 1
2 2 1
1 2 0
2 0 1
10 5
0 3 3
1 3 3
0 1 0
3 3 3
1 0 1
0 2 0
0 0 1
1 1 3
2 3 0
0 3 0
10 7
1 1 4
0 1 0
3 3 2
0 0 2
5 2 5
4 2 2
1 0 0
4 0 4
5 5 5
3 0 0
10 2
0 1 2
0 2 0
1 0 1
2 1 2
0 0 1
2 0 0
0 2 2
2 1 1
1 2 2
1 0 2
10 7
0 1 2
1 0 1
0 0 2
0 1 1
1 0 0
2 0 0
2 2 2
2 1 0
0 0 1
1 1 0
10 6
0 1 0
2 2 0
2 1 0
1 0 1
0 0 0
2 0 2
0 0 2
2 0 0
0 0 1
1 1 2
10 3
0 0 0
2 0 3
1 1 2
2 2 0
2 0 1
2 2 3
0 3 0
1 1 1
0 1 0
2 3 3
10 3
2 0 1
2 1 0
0 2 0
1 1 2
2 2 2
2 0 2
0 0 1
0 1 2
0 2 2
0 0 0
10 4
1 2 3
1 1 4
4 4 2
3 1 3
4 1 1
3 2 0
4 4 4
2 0 4
1 0 3
4 0 1
10 7
0 3 2
1 2 2
0 3 3
3 2 2
3 1 3
1 0 3
3 3 3
3 1 0
3 0 3
2 1 3
10 8
4 2 1
5 4 3
0 3 0
2 3 2
0 5 2
5 0 3
0 1 0
1 2 3
1 1 4
3 2 2
10 7
2 0 2
0 2 0
0 2 1
0 1 0
2 1 1
2 1 2
1 2 2
0 0 2
2 0 0
1 2 0
10 8
2 2 0
1 1 0
0 1 1
1 0 0
2 2 3
2 3 0
3 0 3
3 3 1
0 3 1
0 0 3
10 9
2 1 2
1 2 1
2 0 0
2 1 0
1 0 0
0 1 1
1 0 2
0 2 2
0 1 0
2 2 2
10 2
3 2 0
3 1 0
1 1 2
0 3 0
2 0 3
3 0 0
1 2 3
3 0 3
0 3 3
0 3 2
10 8
2 0 0
0 1 0
1 0 1
1 1 0
1 0 2
0 0 2
0 1 1
1 1 1
2 2 1
2 1 1
10 3
1 0 0
0 2 0
0 1 1
0 1 2
0 0 0
0 2 2
1 2 0
1 2 2
2 0 0
1 1 0
10 3
2 0 2
0 1 3
2 0 0
3 1 1
2 2 4
0 0 3
1 4 0
1 1 1
1 0 4
3 1 2
10 3
1 0 3
2 2 1
3 3 0
0 3 1
0 0 2
3 1 1
1 2 0
2 3 2
1 0 1
0 2 0
10 3
1 0 5
1 2 2
3 4 3
5 1 5
2 0 3
4 1 4
0 2 2
0 3 1
5 4 2
0 2 1
10 8
0 1 2
2 2 2
0 2 0
2 1 0
1 0 1
2 1 1
0 0 2
2 1 2
2 0 2
1 0 0
10 4
1 1 4
0 3 0
0 1 3
4 1 4
0 4 1
1 3 2
0 0 2
4 1 2
1 0 2
1 1 0
10 2
2 1 0
1 1 2
4 4 4
1 0 4
3 3 4
3 1 3
4 1 0
2 4 4
3 0 2
2 2 3
10 4
1 3 1
3 1 0
2 3 0
4 0 4
4 2 4
2 4 2
0 4 0
2 4 0
2 4 3
4 1 0
10 5
5 2 0
1 1 1
2 1 1
5 2 4
5 1 0
5 0 4
3 4 3
2 0 5
0 0 0
2 0 2
10 3
3 0 3
3 1 2
2 4 4
0 3 3
5 4 5
3 2 0
1 3 1
5 0 3
0 5 2
2 2 5
10 3
1 3 2
2 3 4
2 0 0
1 3 4
2 4 1
2 0 4
2 1 1
1 3 1
2 4 2
1 0 4
10 3
2 0 1
1 1 2
2 2 2
1 0 2
1 2 1
0 2 2
0 0 2
0 1 2
2 1 2
0 1 0
10 4
1 1 0
2 2 1
0 1 0
1 2 0
0 2 0
1 0 0
0 2 1
0 1 2
2 2 0
2 1 0
10 8
3 1 4
3 3 0
3 0 3
0 3 0
0 2 1
4 4 4
3 1 2
0 3 1
2 0 2
2 1 2
10 9
1 5 3
3 3 4
4 4 2
5 4 3
0 2 3
5 4 4
2 3 5
2 4 3
4 3 5
5 5 3
10 4
4 0 4
4 0 2
2 4 4
0 2 0
2 0 1
4 2 4
2 2 4
3 3 2
0 1 3
3 1 2
10 2
2 0 0
0 1 1
1 3 0
0 3 2
2 3 1
2 1 2
3 2 0
0 0 3
1 1 3
1 3 2
10 7
1 0 2
0 0 0
2 0 0
2 2 0
1 0 1
0 0 1
1 1 1
1 1 2
2 1 0
0 1 1
10 7
2 2 2
1 3 2
1 1 1
3 2 0
1 2 1
3 3 3
0 3 2
1 3 1
2 2 0
3 0 1
10 6
0 2 2
1 0 1
0 0 0
0 2 1
2 0 1
0 0 1
2 0 0
2 2 1
1 2 1
0 2 0
10 5
5 3 2
4 5 4
0 5 1
3 3 1
3 3 4
0 1 1
2 2 5
0 3 3
4 2 3
3 1 5
10 5
2 0 4
4 3 2
1 1 3
0 2 2
1 3 3
3 4 0
4 1 3
2 3 1
4 0 2
4 2 3
10 5
4 2 0
1 1 2
2 1 2
3 0 3
1 4 0
1 2 1
3 2 3
4 3 3
0 2 1
3 0 1
10 8
0 3 0
4 0 3
3 2 4
2 2 2
0 3 3
4 3 0
0 4 4
1 1 3
2 2 3
0 3 2
10 8
0 2 0
2 2 3
0 2 3
2 2 2
0 3 2
0 4 3
4 1 0
2 0 3
2 4 4
2 3 3
10 9
1 5 3
0 2 2
4 4 1
2 1 3
4 5 4
4 4 0
5 5 3
4 2 2
2 4 3
2 2 4
10 5
1 3 0
2 0 4
2 3 0
1 1 2
0 4 3
4 2 1
4 1 1
2 2 3
3 3 0
2 3 3
10 8
2 0 3
4 5 3
4 0 1
3 5 3
5 1 2
0 0 2
4 2 1
1 0 5
3 0 4
5 4 4
10 5
0 2 1
2 0 0
0 1 2
1 0 0
0 2 2
2 1 0
1 2 1
2 0 2
0 0 2
0 2 0
10 4
2 4 1
2 2 1
3 2 4
1 3 1
0 4 0
2 1 4
2 2 4
3 2 1
3 0 4
0 1 4
10 3
3 1 1
3 0 0
3 3 2
3 1 3
0 3 3
2 2 3
3 3 0
3 1 0
0 0 0
0 0 3
10 3
4 3 0
2 4 4
0 0 4
0 2 4
0 2 2
0 4 1
0 3 1
4 1 1
0 0 1
4 1 0
10 8
2 0 4
0 3 3
4 4 0
3 2 3
2 2 1
4 0 1
4 2 2
0 3 2
1 2 2
0 2 0
10 7
3 5 5
2 1 0
0 2 3
2 0 1
0 1 2
0 4 2
5 3 1
1 4 1
3 1 0
0 1 4
10 3
3 5 1
3 3 2
1 3 0
1 1 4
3 4 3
3 2 5
3 0 0
0 2 5
5 1 0
0 3 3
10 2
5 4 5
1 4 3
4 4 5
5 4 0
1 1 0
5 4 2
2 0 5
0 2 1
2 1 3
3 3 5
10 5
3 3 0
2 1 0
1 3 4
2 3 0
2 4 2
2 3 3
3 2 0
2 1 3
1 3 3
4 3 0
10 5
2 0 1
4 1 2
3 3 4
4 0 2
4 2 3
3 0 3
3 3 1
4 1 1
0 1 3
2 4 1
10 7
3 1 2
3 4 5
5 5 3
3 2 3
2 5 2
4 5 0
2 4 3
1 5 1
2 2 0
0 4 1
10 3
1 4 4
3 1 0
4 3 3
1 3 1
1 3 4
4 1 2
3 0 4
2 3 2
3 4 1
1 3 2
10 7
2 0 2
1 1 0
0 0 0
0 2 2
2 2 0
1 2 0
0 2 0
2 1 0
0 2 1
1 2 2
10 7
1 3 3
3 1 0
2 3 1
2 0 3
3 0 1
2 1 2
2 2 2
2 2 0
3 2 1
1 2 1
10 7
4 4 0
1 3 1
0 4 0
4 1 4
0 1 1
4 0 0
2 2 2
3 4 3
0 1 0
1 0 2
10 7
3 2 3
0 3 3
3 1 3
3 1 0
2 2 0
3 3 2
1 3 2
0 2 2
3 1 2
1 0 3
10 3
1 2 0
2 5 1
1 4 3
1 0 0
2 1 3
2 0 3
2 3 4
0 4 1
5 0 5
4 5 5
10 3
1 1 0
2 4 3
4 2 1
2 4 1
3 3 0
3 2 4
0 1 1
3 4 4
3 3 2
3 1 2
10 9
0 3 1
0 0 0
0 0 2
2 3 0
1 0 1
2 0 2
1 0 3
1 3 3
0 2 1
3 0 1
10 6
3 2 2
2 1 3
0 1 1
2 3 2
0 3 2
0 3 0
3 1 1
2 0 1
1 0 0
3 2 3
10 9
2 0 1
1 2 1
2 2 2
2 2 1
0 0 2
1 2 2
0 2 0
0 1 0
0 0 1
0 0 0
10 7
2 1 3
2 2 1
2 0 2
0 0 2
2 3 3
1 3 3
0 2 1
3 3 3
3 2 1
0 2 2
10 9
0 0 1
0 3 2
3 3 2
2 1 1
1 0 2
1 1 3
3 2 2
3 2 0
3 2 1
0 1 2
10 7
2 4 3
0 4 1
1 4 5
0 4 4
3 5 2
1 0 2
4 1 5
5 2 0
4 5 3
2 1 2
10 4
0 1 1
1 2 2
1 0 0
2 1 2
0 0 1
2 0 0
1 1 0
2 2 0
0 2 1
1 1 2
10 2
1 2 0
1 3 3
0 2 2
2 1 2
3 0 2
3 1 0
3 2 3
3 0 0
2 2 3
2 0 2
10 6
1 0 1
2 1 1
0 0 2
2 2 1
1 1 2
0 1 0
0 1 2
2 1 2
1 2 0
2 2 0
10 2
2 0 1
0 3 3
0 0 0
1 3 2
3 1 3
2 0 2
2 1 3
1 2 3
3 2 1
2 1 2
10 2
1 2 2
2 2 1
0 0 1
0 2 3
0 2 2
3 0 0
1 3 0
1 0 0
2 0 0
1 1 1
10 8
3 2 2
4 4 5
2 0 2
3 3 0
2 2 4
4 4 2
5 1 4
0 5 1
2 1 2
4 3 3
10 2
4 4 1
3 2 1
3 1 0
2 3 4
2 0 0
4 2 0
3 0 1
0 3 4
3 3 1
4 0 1
10 5
4 0 1
1 1 0
0 1 3
3 4 5
4 4 1
4 0 5
4 4 3
4 1 5
5 0 1
0 3 0
10 4
1 1 2
0 1 2
2 0 0
1 1 1
1 0 0
0 1 1
2 2 2
0 0 1
2 1 2
2 1 1
10 9
0 2 3
0 1 2
3 1 3
3 2 0
3 0 1
0 2 2
3 0 2
1 2 2
3 1 0
2 3 1
10 7
4 3 1
4 4 0
4 2 0
4 4 2
1 2 0
2 3 1
4 1 4
0 2 4
2 2 4
4 0 3
10 9
2 4 2
2 0 0
0 0 3
4 0 4
1 3 4
3 3 1
0 1 1
3 0 3
4 2 3
4 2 2
10 2
1 3 1
3 0 3
3 0 0
2 2 0
3 3 3
2 3 2
2 1 3
1 1 1
1 0 0
1 2 0
10 8
3 0 2
4 1 4
3 4 4
2 4 2
0 0 3
4 3 4
1 4 3
3 4 1
0 1 1
4 4 3
10 6
2 0 2
1 0 0
0 0 0
1 2 2
2 2 2
1 2 0
1 1 2
2 0 0
2 0 1
0 1 2
10 7
1 0 0
3 5 5
3 3 3
5 2 5
0 2 4
0 4 5
2 0 2
5 2 3
4 4 2
1 1 4
10 7
3 4 2
1 5 2
0 2 4
5 0 0
4 4 2
4 5 2
2 5 5
4 4 1
2 5 0
1 5 3
10 9
1 0 1
1 0 2
0 0 0
0 1 0
0 0 2
2 0 0
2 2 1
1 2 2
0 0 1
2 0 2
10 5
1 3 3
3 4 0
3 1 2
1 3 2
1 1 0
2 1 0
2 1 4
0 0 1
2 4 2
1 3 1
10 4
4 2 5
1 3 4
5 3 0
3 4 0
4 2 3
3 2 0
0 3 4
3 5 3
0 3 5
5 5 3
10 8
4 3 2
0 1 0
3 5 3
3 2 5
4 1 4
4 5 0
5 1 5
1 2 5
2 2 3
5 3 5
10 4
2 0 1
2 2 1
0 0 1
1 0 1
1 1 0
0 1 1
0 1 0
1 2 2
2 2 0
2 0 2
10 6
5 2 3
4 4 5
2 5 4
1 4 2
3 2 4
1 3 4
0 5 0
4 3 1
1 4 5
5 1 0
10 4
3 4 4
1 1 3
1 0 4
0 3 1
4 0 3
0 2 2
4 2 0
3 3 2
4 1 2
3 1 4
10 2
5 4 4
4 3 4
3 0 0
2 4 1
1 1 2
5 5 5
5 1 0
4 5 5
2 0 3
3 5 1
10 6
5 5 5
1 3 0
3 3 5
5 1 0
0 0 0
1 1 5
0 1 0
4 2 1
4 5 5
1 0 3
10 7
3 1 1
2 0 0
3 2 0
0 1 0
2 1 0
0 0 0
0 3 0
2 3 1
0 0 2
2 3 3
10 5
2 1 1
1 1 2
2 0 0
0 0 0
0 2 2
0 1 2
1 1 0
2 1 0
2 0 1
0 2 1
10 2
2 2 0
1 2 0
2 0 3
0 2 1
1 3 1
3 1 1
0 0 2
2 3 3
2 2 2
2 2 1
10 8
3 2 1
0 0 0
2 2 1
2 0 1
2 1 3
1 1 3
2 1 1
2 0 3
3 0 1
1 1 0
10 5
4 4 0
4 5 2
1 2 1
5 1 5
1 2 4
4 4 3
1 4 3
5 5 2
1 4 5
2 5 1
10 5
3 0 3
0 2 2
3 3 0
0 3 2
1 2 1
3 3 2
0 2 3
0 3 0
2 2 1
1 1 0
10 9
3 3 1
3 2 0
5 4 0
0 4 5
3 5 0
3 0 2
5 1 3
4 0 0
2 1 5
1 3 5
10 4
3 3 3
2 2 0
0 3 2
1 0 3
2 1 2
3 3 2
0 0 1
0 3 3
1 1 1
2 1 1
10 4
0 3 2
0 0 3
2 3 1
0 1 3
2 2 0
0 2 3
0 0 0
1 3 1
2 1 2
0 0 1
10 4
1 5 5
4 3 5
5 0 0
3 0 0
0 3 3
1 4 5
3 3 0
1 0 4
1 4 1
1 1 3
10 3
3 0 2
0 3 0
3 2 2
1 1 2
2 2 2
1 2 3
2 1 3
1 0 1
2 0 2
2 2 1
10 7
0 3 3
4 2 3
2 3 1
2 0 4
2 3 0
3 4 3
2 0 0
4 2 2
1 2 0
1 1 1
10 4
2 2 2
2 2 1
2 0 1
1 1 0
0 1 2
0 0 0
2 1 0
2 2 0
2 1 1
0 2 0
10 9
3 3 3
0 0 4
4 0 0
2 5 1
5 3 4
2 5 4
0 4 2
0 1 0
4 5 0
3 0 3
10 2
2 1 1
0 0 2
1 1 2
2 0 0
1 0 2
1 1 0
0 0 0
0 2 1
1 2 1
2 2 0
10 2
1 1 0
2 2 2
2 0 2
0 0 2
2 1 2
1 2 2
1 0 2
2 2 1
2 0 1
0 1 0
10 9
1 1 3
3 0 2
3 3 0
0 0 1
1 3 4
1 4 3
4 2 1
4 3 3
2 1 3
4 4 3
10 4
3 1 3
3 0 2
4 5 3
2 3 4
3 4 0
2 5 1
3 0 5
0 5 3
2 1 3
0 3 4
10 5
2 2 3
2 3 1
1 1 2
1 1 1
3 1 2
1 0 0
0 3 2
3 2 1
2 2 2
2 1 0
10 6
4 2 4
2 2 3
3 0 1
0 0 0
1 4 1
3 2 4
1 0 0
2 3 0
2 2 0
4 1 4
10 8
1 3 1
0 1 0
2 2 3
1 2 0
2 2 0
2 0 0
0 3 3
2 1 0
2 0 2
3 3 1
10 5
3 1 3
2 3 2
1 2 3
0 2 2
1 2 1
1 0 3
3 0 1
1 2 0
3 0 3
2 0 2
10 4
1 0 1
3 0 3
2 2 4
2 2 0
4 0 1
2 0 4
4 1 1
1 2 0
1 4 3
3 3 4
10 4
2 4 0
2 1 5
0 5 4
3 0 1
1 4 1
4 5 2
5 3 4
0 3 5
4 5 0
1 3 4
10 5
3 0 1
1 0 2
1 2 2
0 3 2
2 2 1
3 3 2
1 1 0
1 3 0
3 3 0
1 2 3
10 4
2 1 3
2 3 0
0 1 1
0 3 1
3 1 3
3 0 0
0 1 0
3 1 1
1 0 3
2 0 3
10 3
3 3 0
3 4 1
3 5 3
2 4 0
1 0 0
2 2 0
4 1 4
5 5 2
5 2 5
4 2 5
10 4
4 4 1
2 0 3
4 1 2
3 2 3
0 1 3
0 4 0
4 2 4
0 1 4
3 4 1
1 1 4
10 8
2 3 2
0 1 3
3 3 2
0 1 1
2 1 0
1 3 0
2 2 1
2 0 0
3 1 1
2 2 3
10 2
2 1 1
2 0 3
0 3 1
3 1 0
2 3 0
0 1 2
2 2 2
0 2 2
1 3 0
1 0 2
10 4
0 2 1
0 0 2
1 0 2
1 0 0
2 2 1
0 2 0
1 1 2
1 2 0
1 2 2
0 0 0
10 7
2 0 2
2 0 1
1 0 0
1 1 2
2 1 0
0 0 1
2 2 1
1 1 1
1 2 2
0 0 0
10 4
1 0 4
5 5 5
1 5 5
5 1 4
0 3 5
5 5 2
3 5 4
2 2 5
4 5 5
3 3 3
10 9
0 2 1
2 2 1
1 1 2
2 0 2
2 1 0
1 1 0
2 0 0
2 2 0
1 1 1
1 2 1
10 7
3 1 3
0 4 2
2 4 0
0 1 4
0 2 4
3 3 0
3 1 4
2 1 0
0 0 2
3 3 2
10 3
0 1 3
3 2 3
3 3 1
1 2 3
2 0 2
2 3 2
0 2 0
0 2 3
1 1 2
0 1 1
10 5
1 0 1
1 1 0
0 1 0
0 2 1
2 0 1
0 0 2
1 2 0
1 0 0
2 2 2
0 2 2
10 9
2 0 1
0 0 2
1 2 2
0 0 1
2 2 0
1 2 0
1 0 1
2 1 1
0 1 2
2 1 2
10 5
3 2 2
0 2 0
3 3 3
2 3 1
2 1 2
3 3 2
1 3 3
2 0 2
1 3 2
0 2 2
10 5
0 2 0
2 2 2
0 1 1
0 2 3
1 0 2
2 3 1
1 3 3
0 0 3
1 0 3
0 1 0
10 9
2 0 1
0 0 2
1 1 2
0 2 0
0 1 1
0 1 0
2 2 0
0 0 0
2 0 0
2 0 2
10 9
1 2 0
1 1 2
2 2 2
0 1 2
2 0 0
2 1 0
0 2 2
0 1 0
2 1 2
2 0 2
10 6
3 0 0
4 0 0
1 0 3
1 0 2
2 2 0
4 2 1
4 1 4
0 4 3
2 0 1
4 0 2
10 9
0 2 2
1 0 1
2 1 0
1 3 0
3 3 2
3 0 1
2 3 0
3 3 1
0 1 1
3 1 0
10 9
4 1 0
2 4 0
2 3 0
2 0 3
4 1 1
1 4 4
2 0 2
3 4 0
2 2 4
2 3 4
10 8
1 1 2
1 1 0
0 0 3
2 1 1
2 2 3
1 3 1
3 2 2
2 3 1
1 2 2
3 3 1
10 8
3 2 0
3 1 1
2 0 0
2 2 0
0 1 0
3 2 2
2 1 2
3 1 3
1 3 2
1 0 2
10 8
3 3 3
1 3 2
1 0 3
2 3 3
2 2 2
1 3 1
2 0 2
2 3 0
1 1 2
3 0 2
10 6
3 1 5
5 1 3
4 2 3
5 1 0
5 4 1
2 3 0
0 2 2
2 2 5
5 0 1
2 3 5
10 3
4 1 0
3 1 4
1 2 4
2 3 3
4 2 3
2 0 3
3 3 1
1 3 4
0 4 4
0 2 1
10 4
3 2 0
1 2 1
2 3 3
1 2 0
0 2 4
2 1 3
2 1 1
1 2 3
3 1 3
2 2 2
10 8
1 1 0
2 2 0
1 0 0
2 1 0
0 2 0
2 0 0
1 0 1
2 0 2
1 1 1
2 2 2
10 2
3 1 2
2 5 5
3 1 1
4 3 1
2 1 3
1 0 1
3 4 0
3 5 5
5 4 0
1 5 1
10 5
3 2 2
4 5 2
5 4 2
1 2 1
1 4 4
3 1 1
5 3 1
0 4 4
3 3 0
0 3 3
10 5
4 4 1
1 3 5
5 2 1
3 2 5
4 2 4
1 0 1
1 5 4
5 5 0
0 5 0
3 5 4
10 4
0 1 1
1 2 1
2 1 0
2 1 1
0 2 2
2 0 2
0 2 0
1 1 1
2 0 1
0 2 1
10 2
1 2 2
0 2 2
1 0 0
1 0 2
1 1 2
1 0 1
2 2 1
2 2 2
0 1 0
2 1 1
10 2
2 2 3
3 0 2
0 2 3
1 2 3
3 1 2
3 3 3
1 3 1
2 1 3
3 2 1
0 0 0
10 2
1 0 1
2 0 2
2 1 0
1 1 1
1 1 2
1 0 0
2 0 0
0 0 0
1 2 0
0 2 0
10 5
2 2 2
3 2 2
2 4 0
1 0 0
1 3 4
2 0 2
2 0 3
4 2 3
4 3 3
1 0 1
10 2
1 5 3
5 3 4
3 1 4
5 3 5
4 0 2
0 3 3
1 0 5
1 3 3
3 4 5
5 4 1
10 4
2 2 2
3 3 2
5 1 2
4 5 3
4 2 3
3 0 4
1 5 3
1 5 4
2 3 4
0 1 0
10 9
4 3 5
1 1 3
5 0 4
3 1 3
5 5 4
4 0 2
4 1 3
3 1 5
2 5 0
3 2 2
10 2
1 4 1
1 4 0
3 2 2
2 4 1
3 3 2
1 4 3
0 0 4
0 1 3
4 4 1
2 3 2
10 4
0 2 2
1 1 2
0 1 2
0 2 0
2 0 0
1 2 1
0 1 1
2 2 0
0 0 1
1 2 2
10 4
1 2 1
2 0 1
1 2 2
2 1 0
1 1 2
2 1 2
2 0 2
0 1 0
0 2 0
0 0 1
10 5
4 0 4
5 1 4
3 0 5
5 4 2
5 1 1
4 3 3
0 3 4
3 5 2
3 4 3
0 4 2
10 9
1 0 0
0 1 2
1 1 1
0 2 0
2 2 1
2 0 1
2 0 0
2 1 0
0 0 1
0 1 0
10 4
0 2 0
2 2 1
2 1 1
0 1 2
2 2 2
2 1 2
0 0 1
0 0 0
1 0 1
1 0 0
10 9
0 0 0
2 1 3
5 4 0
0 2 3
5 2 0
0 1 0
1 4 0
3 3 1
5 3 5
0 3 2
10 8
0 1 4
3 3 4
3 2 3
2 3 3
4 2 2
2 0 3
3 0 1
3 3 2
3 2 0
3 4 3
10 5
5 5 4
4 5 4
3 0 0
1 5 4
0 2 3
1 0 3
2 3 3
1 3 1
2 4 2
0 5 4
10 9
2 2 3
1 1 4
0 4 0
0 4 1
2 4 3
4 4 2
2 3 4
3 2 4
2 0 0
0 3 0
10 4
2 1 0
2 2 0
1 1 1
4 3 3
2 2 3
0 3 0
4 1 0
0 0 3
1 2 2
3 4 1
10 5
0 2 2
0 1 1
2 0 2
2 0 1
0 0 0
1 1 2
2 0 0
2 2 0
2 2 1
2 1 2
10 6
2 0 4
5 0 3
4 2 0
3 5 3
0 4 3
4 0 0
0 0 5
1 2 2
1 0 0
3 5 2
10 7
0 0 0
0 2 0
2 1 0
1 1 2
0 1 2
1 0 2
1 0 0
0 0 1
1 2 2
2 2 2
10 7
1 1 0
1 0 1
2 4 2
3 3 4
2 0 3
4 2 2
2 2 1
0 1 4
3 1 3
0 3 2
10 6
1 4 2
3 0 3
0 0 1
4 1 4
1 3 2
1 3 4
1 0 3
1 2 3
3 2 2
0 2 4
10 7
1 0 3
0 3 1
4 0 5
1 4 4
4 3 1
3 3 0
2 5 2
3 2 3
4 1 5
1 1 2
10 8
2 3 2
2 3 3
3 0 1
0 3 3
1 1 3
2 2 2
2 0 3
3 2 3
3 1 1
1 1 2
10 9
1 1 1
2 0 1
2 0 0
1 2 2
0 1 1
2 1 0
2 2 0
2 1 1
0 1 2
1 2 1
10 9
3 1 0
4 2 1
0 0 2
0 0 0
2 4 4
4 0 1
2 4 2
0 0 4
0 1 1
3 2 4
10 6
4 5 2
4 4 2
1 1 5
3 4 0
3 1 3
2 2 3
2 3 0
5 3 3
4 2 3
3 3 1
10 5
1 2 1
2 2 1
2 2 2
0 2 0
0 0 1
1 2 0
2 1 0
1 2 2
2 1 2
1 1 1
10 9
0 0 1
2 2 0
2 1 0
1 0 1
2 2 2
0 1 0
1 2 2
1 0 0
0 2 2
1 1 1
10 4
2 2 1
5 2 3
3 0 0
4 0 5
1 5 0
2 4 3
4 1 5
1 0 2
2 2 5
4 4 5
10 9
5 2 5
2 0 2
4 5 1
1 0 5
5 1 4
3 3 0
3 3 2
3 1 4
1 0 0
0 4 4
10 3
2 2 1
2 0 1
2 2 3
1 1 1
3 2 3
2 1 0
2 2 0
3 0 0
1 0 3
0 2 1
10 6
2 1 1
0 2 1
1 2 2
0 1 1
0 1 0
2 2 0
2 2 2
0 2 0
2 0 0
1 2 1
10 3
2 0 2
1 2 1
0 0 1
3 3 0
0 1 3
3 2 1
2 0 0
0 2 0
0 2 1
0 3 1
10 4
2 2 1
0 0 0
2 1 1
0 2 2
0 3 3
1 0 2
2 2 0
0 3 1
3 0 0
1 3 2
10 9
4 2 0
3 2 4
1 1 0
4 0 5
1 4 4
2 5 0
5 2 3
1 0 5
4 4 3
0 0 5
10 2
2 1 1
3 0 0
1 1 0
0 2 0
3 3 3
0 1 0
1 3 0
2 0 0
4 1 2
4 2 3
10 2
2 2 3
2 2 1
0 2 2
0 2 3
1 3 0
1 0 1
3 1 2
0 0 2
1 2 1
2 0 3
10 6
5 3 2
3 5 0
4 3 1
0 3 5
1 3 5
0 4 1
5 3 3
1 4 1
2 0 0
2 3 2
10 3
0 2 0
2 4 3
3 3 2
0 3 4
3 4 2
3 0 3
0 1 4
4 4 1
1 2 4
1 3 2
10 8
0 3 3
0 1 1
2 1 0
0 3 1
1 0 3
3 2 0
1 3 3
3 3 2
0 0 2
0 3 0
10 4
2 1 2
0 0 2
2 2 1
2 2 2
0 0 0
0 0 1
2 1 0
1 1 1
1 2 2
1 0 2
10 6
1 0 4
0 1 3
3 3 2
4 1 4
4 5 5
2 5 5
5 3 4
1 4 4
3 1 3
1 3 2
10 8
0 3 2
3 2 3
2 0 3
3 1 3
0 2 0
2 0 1
1 0 0
3 3 3
1 3 3
0 2 3
10 6
1 3 3
3 1 2
2 0 1
2 2 3
0 1 2
2 0 0
0 3 0
3 2 0
1 1 2
3 2 2
10 9
2 3 3
0 1 2
2 1 1
2 0 1
1 1 2
3 1 1
0 3 3
3 1 3
1 3 3
1 0 0
10 8
0 1 1
0 2 1
1 2 2
2 0 2
1 0 0
0 1 0
2 0 1
1 2 1
2 0 0
1 0 1
10 7
1 2 0
1 1 0
0 0 0
2 2 0
0 1 2
2 2 1
2 1 1
0 2 1
0 2 2
0 2 0
10 2
5 1 4
1 0 1
4 1 2
1 4 3
3 4 5
1 0 5
4 0 3
2 0 2
1 3 5
1 5 1
10 5
5 0 3
3 4 4
3 2 0
5 1 0
0 2 4
1 2 5
4 2 4
2 4 5
0 0 1
3 5 3
10 3
0 4 5
4 4 3
4 4 4
0 0 5
3 5 0
4 1 3
5 1 1
2 2 2
3 5 2
3 3 4
10 4
1 5 0
3 0 0
1 0 3
0 5 5
2 0 3
0 3 5
5 2 5
1 1 5
3 5 4
3 2 4
10 9
1 1 0
4 4 2
4 3 4
2 3 1
2 1 1
0 4 2
4 4 3
1 4 4
1 0 2
1 1 1
10 2
3 4 3
2 2 1
1 3 1
2 4 4
0 2 2
0 4 1
4 1 0
1 0 2
0 0 1
3 3 0
10 5
0 2 1
1 2 2
2 2 2
2 1 0
1 0 2
2 2 1
0 1 2
0 0 1
2 1 2
0 0 2
10 2
3 1 2
0 2 1
2 1 3
0 2 3
1 1 3
2 1 1
2 0 1
0 0 1
0 3 1
2 3 3
10 2
2 2 0
0 3 0
2 1 2
4 2 0
4 0 4
0 2 4
1 4 3
3 3 3
0 1 1
1 1 0
10 6
1 2 3
3 3 3
1 1 1
1 0 0
2 0 3
2 1 0
2 3 3
0 3 2
3 1 1
0 3 1
10 3
0 0 0
1 1 2
2 1 0
1 1 0
1 0 0
2 1 1
2 0 2
0 1 2
2 2 0
2 1 2
10 7
0 1 2
1 2 0
1 2 1
1 0 2
0 2 2
1 0 0
0 2 0
0 1 0
1 0 1
0 0 2
10 3
0 0 0
0 1 1
1 2 1
0 1 2
0 2 0
2 1 1
0 0 1
1 0 0
2 0 1
2 2 1
10 8
4 3 1
3 4 1
1 1 2
4 2 0
2 4 4
0 4 1
0 1 4
2 0 3
0 3 0
4 3 0
10 9
5 1 1
3 0 5
1 4 3
4 5 3
4 4 3
0 5 1
0 1 2
1 5 4
1 5 2
0 0 3
10 7
4 1 4
2 0 3
4 3 0
4 4 2
5 0 1
4 4 3
1 3 5
0 3 2
3 3 0
4 2 4
10 3
0 5 2
4 1 2
1 5 5
2 5 2
5 1 0
3 0 2
5 5 4
1 1 3
5 4 1
3 1 2
10 7
2 3 3
1 3 1
3 3 1
0 3 3
3 1 3
3 3 3
1 1 2
0 0 2
2 1 0
3 0 3
10 2
1 1 3
2 3 2
2 1 0
1 0 2
1 0 0
3 2 0
2 1 2
0 2 0
2 3 3
2 3 1
10 8
0 3 1
2 3 1
1 0 3
3 2 3
1 3 1
1 2 3
0 1 1
1 2 0
1 0 2
2 0 2
10 5
0 1 3
2 2 2
5 3 0
5 2 4
0 2 1
5 4 5
2 1 5
0 3 5
4 5 1
4 0 1
10 2
1 2 1
0 2 2
1 2 0
2 0 2
0 2 0
1 0 0
1 0 1
1 1 0
2 2 0
2 2 1
10 7
4 4 3
2 2 4
4 3 4
2 1 1
2 2 3
1 4 3
4 0 2
4 0 0
4 2 1
2 0 2
10 8
3 3 3
4 2 4
4 2 2
3 0 4
4 1 3
1 2 0
4 3 4
3 0 1
3 1 2
0 0 2
10 7
1 1 2
1 2 1
2 0 0
2 2 2
0 0 2
1 2 2
0 0 1
0 2 0
1 2 0
0 1 0
10 6
2 1 2
2 1 0
1 1 2
0 2 0
0 1 1
0 0 2
2 0 2
0 2 1
2 0 1
2 2 1
10 4
1 0 1
0 1 0
0 0 1
0 0 0
1 2 0
1 0 0
2 2 0
2 2 1
1 2 2
0 2 1
10 2
0 2 2
0 1 0
0 4 1
2 4 4
5 3 4
1 0 3
1 5 5
5 1 1
2 0 0
4 5 0
10 7
3 2 0
0 3 2
3 0 2
3 1 0
1 2 1
0 0 1
1 0 1
0 1 2
2 1 2
3 1 3
10 5
2 3 3
4 3 5
3 3 2
1 4 1
0 2 5
5 1 4
4 5 3
4 0 0
0 4 0
3 2 4
10 9
1 1 0
3 1 0
0 2 1
3 3 2
3 2 3
2 3 3
1 0 1
3 1 3
1 3 0
2 1 2
10 7
4 2 0
2 4 1
1 4 3
4 1 2
2 2 0
1 2 0
0 3 1
0 2 1
2 0 1
4 4 3
10 2
2 2 0
1 0 1
2 1 2
1 2 1
1 1 2
0 0 1
0 1 1
0 0 0
2 2 1
1 1 1
10 7
3 4 1
3 3 1
1 3 2
4 4 4
1 1 1
1 4 3
4 0 2
2 0 2
0 0 2
4 4 2
10 2
2 3 1
1 5 4
0 4 3
4 1 3
1 1 5
2 2 2
0 3 4
5 2 1
4 0 5
5 3 5
10 3
1 3 1
2 2 5
2 1 4
1 3 3
3 1 0
3 1 4
2 1 2
0 0 4
0 1 5
5 0 1
10 9
3 0 2
0 3 5
5 2 3
3 1 3
1 3 5
2 2 2
3 4 2
1 0 4
3 5 1
4 5 0
10 8
2 4 0
1 2 2
3 3 3
4 4 0
2 1 0
3 4 2
3 1 2
2 0 2
2 4 4
0 1 2
10 7
5 4 5
4 4 1
3 0 4
2 3 1
5 2 5
4 2 1
4 4 4
5 3 3
4 4 5
5 2 2
10 8
2 4 1
3 2 4
0 1 3
1 3 1
2 0 4
0 0 0
2 2 0
2 3 3
0 3 3
2 1 1
10 9
2 3 1
2 0 3
3 3 2
0 1 1
0 2 0
0 0 0
0 0 2
1 2 2
2 0 0
1 3 1
10 8
0 2 1
2 1 2
0 2 0
3 1 3
3 2 3
1 1 0
0 2 2
3 2 1
1 2 2
1 2 0
10 8
3 1 1
0 2 0
2 1 3
2 0 3
0 3 2
1 2 0
2 0 2
3 2 0
3 2 3
1 2 3
10 5
1 0 2
1 0 1
1 1 2
0 0 1
2 0 0
1 2 1
1 2 0
1 1 0
2 2 1
0 0 2
10 5
2 1 1
1 1 0
2 0 0
1 0 2
2 0 1
2 2 2
0 0 0
0 2 0
2 2 1
2 0 2
10 6
3 3 2
3 2 4
1 1 5
5 0 1
2 5 4
4 2 0
1 0 0
0 4 3
3 0 2
1 0 3
10 2
2 1 2
0 1 2
1 2 0
1 1 0
2 2 2
2 0 1
0 2 2
2 0 2
2 0 0
2 1 1
10 9
0 4 1
0 2 3
1 3 1
2 3 2
4 1 3
2 0 2
0 0 4
4 3 0
1 1 1
1 0 2
10 6
1 1 0
0 1 2
0 0 1
1 1 2
2 0 0
1 0 2
2 0 2
2 1 1
0 0 2
1 2 2
10 4
1 1 2
0 0 3
4 0 5
0 1 1
0 2 1
2 0 3
5 3 2
2 4 2
3 4 2
0 4 5
10 7
3 1 3
2 1 1
2 1 2
3 4 4
3 4 0
3 1 4
2 3 1
1 4 2
1 0 1
2 4 2
10 4
3 1 1
0 1 1
4 1 1
4 4 3
1 2 4
0 1 4
2 4 3
4 1 4
2 0 1
2 4 2
10 8
1 1 0
3 2 3
0 1 2
3 1 0
0 2 0
3 0 3
0 3 0
2 3 3
2 2 1
0 3 1
10 6
3 0 3
2 0 2
0 2 0
1 1 3
1 3 3
3 3 0
3 1 0
2 1 0
3 2 0
3 2 3
10 6
1 0 2
2 2 0
2 1 2
0 2 0
0 1 0
1 2 0
2 0 2
1 1 2
0 0 2
2 1 0
10 4
1 0 3
2 1 0
3 3 3
1 3 3
2 1 1
0 3 0
2 2 1
1 3 2
3 3 1
2 1 2
10 4
2 5 0
4 3 3
3 5 3
0 1 5
3 1 1
3 4 0
5 4 3
4 5 0
0 2 5
1 3 4
10 9
1 3 5
2 4 4
3 0 0
2 2 5
1 3 4
1 5 1
5 3 5
3 5 1
2 0 0
0 0 1
10 5
2 0 4
2 5 0
5 5 1
2 4 0
1 5 5
4 0 5
2 5 3
3 2 2
3 2 3
4 1 4
10 9
0 0 3
1 1 1
0 2 0
2 2 3
1 3 1
3 0 0
0 1 2
3 1 0
0 1 3
0 1 1
10 6
2 1 1
0 1 0
2 0 0
0 1 1
0 2 0
2 0 2
2 0 1
1 1 2
0 1 2
0 0 2
10 5
0 0 1
3 3 3
3 0 1
2 0 3
1 0 1
1 1 2
2 0 1
0 3 0
0 2 2
3 0 3
10 9
3 1 0
4 3 1
2 4 3
0 4 3
0 3 3
0 1 3
0 2 2
4 3 3
3 0 0
0 0 4
10 7
0 1 2
2 0 1
1 3 1
2 2 0
0 2 3
3 0 0
0 0 3
2 0 0
2 0 2
0 1 1
10 9
0 0 1
0 2 1
0 2 3
3 0 2
0 3 0
2 1 2
2 0 2
3 3 2
2 2 0
1 0 2
10 6
2 2 3
2 1 2
0 2 0
1 3 0
3 3 2
2 1 1
1 1 3
3 2 2
0 1 0
3 0 1
10 5
3 3 4
2 2 0
0 2 0
4 2 1
3 4 2
2 3 4
3 4 3
1 3 2
3 0 1
2 1 0
10 9
0 3 1
4 1 0
1 4 3
4 2 1
3 2 2
3 3 0
0 3 4
2 2 0
0 4 0
2 0 4
10 5
2 4 0
1 0 1
1 1 3
3 2 3
3 3 0
2 3 3
0 0 1
0 4 2
1 3 3
1 1 1
10 6
0 3 5
2 5 2
0 5 2
1 0 5
3 4 3
5 2 4
1 1 2
1 2 1
3 1 3
3 5 5
10 9
5 1 0
4 4 0
0 4 1
3 5 5
3 4 5
4 0 2
4 5 3
1 0 5
1 2 4
0 2 3
10 8
0 0 2
1 3 2
3 1 1
0 0 0
2 3 3
0 2 0
3 3 0
2 1 0
2 3 0
1 3 3
10 8
2 5 4
4 4 5
1 5 4
0 0 5
4 2 2
5 1 5
5 2 1
3 4 1
1 4 0
5 4 1
10 8
4 2 2
0 3 0
0 2 4
4 0 4
1 2 3
4 1 3
4 4 3
4 4 4
4 1 4
1 4 4
10 6
2 1 0
2 0 0
2 2 2
0 0 0
0 1 2
0 2 1
0 2 2
1 2 2
2 2 0
1 1 2
10 4
1 4 1
4 1 4
1 2 2
5 2 1
4 4 4
0 4 4
2 2 0
4 4 1
2 2 2
0 5 4
10 4
4 2 3
1 0 3
1 0 1
0 3 4
3 3 2
0 4 0
1 3 4
4 1 2
2 4 1
0 2 1
10 5
3 1 3
0 4 1
0 1 2
1 2 0
5 3 1
4 0 0
1 3 3
3 0 3
3 3 5
4 0 5
10 3
0 2 1
2 0 0
0 2 2
2 1 1
0 2 0
0 0 1
2 0 1
1 0 1
2 2 2
1 1 2
10 6
3 3 1
3 0 0
2 1 0
3 2 1
0 2 1
2 3 3
2 1 1
3 0 2
1 3 0
2 2 3
10 2
1 0 2
0 2 2
1 1 0
2 0 1
0 2 1
2 1 0
0 0 1
1 2 2
1 0 1
2 1 2
10 8
0 3 3
1 3 1
1 0 1
1 1 3
2 0 0
2 2 3
1 2 0
2 2 1
0 0 1
2 1 2
10 7
2 0 1
0 2 1
1 0 0
1 1 0
0 0 0
1 0 2
2 1 0
2 1 1
0 1 0
0 0 2
10 8
2 0 3
4 5 2
3 2 2
0 2 3
1 2 5
2 4 0
4 1 0
4 2 3
4 4 4
3 3 2
10 3
2 2 0
0 0 0
2 2 2
1 0 2
0 2 1
2 0 1
1 1 0
1 0 1
0 0 2
0 1 2
10 6
2 0 2
0 1 3
0 3 2
2 2 2
3 0 0
1 0 3
3 2 2
1 1 0
2 0 1
3 0 2
10 5
2 1 0
2 0 1
1 1 0
0 0 0
1 2 0
0 1 1
2 0 0
1 2 1
0 0 1
0 1 0
10 7
1 1 1
0 2 4
1 3 1
0 0 0
1 2 2
2 1 2
2 2 2
0 1 1
4 3 2
2 0 2
10 6
4 1 2
4 3 1
1 2 3
4 2 4
3 3 1
1 2 4
2 3 0
0 1 4
4 0 0
2 4 2
10 8
1 4 3
1 1 2
2 1 1
5 1 4
0 5 2
2 4 3
0 0 3
4 2 1
0 5 4
0 1 1
10 4
5 5 0
4 5 4
4 4 2
5 5 3
2 1 1
4 2 4
0 2 5
3 3 3
1 1 3
3 2 3
10 7
0 0 2
2 0 1
0 2 2
0 1 1
0 1 2
1 2 2
2 1 2
0 0 1
1 1 1
0 2 0
10 7
5 0 5
3 4 5
3 0 1
1 1 5
5 0 2
2 1 2
4 1 1
5 1 3
0 1 2
2 4 4
10 7
0 0 2
1 0 3
0 2 3
2 3 0
0 0 3
0 2 0
0 1 1
2 2 2
1 0 0
0 3 3
10 6
1 0 2
1 0 1
1 1 1
2 0 0
1 1 2
0 0 0
0 0 1
0 2 1
2 2 0
0 1 0
10 5
5 4 5
1 2 2
1 5 0
0 2 0
1 3 2
4 3 4
2 2 4
1 4 3
3 3 0
4 5 0
10 5
0 2 0
2 2 2
1 1 0
0 0 1
1 0 1
1 2 2
1 2 0
1 0 0
0 1 2
2 0 2
10 3
0 1 3
3 0 1
0 0 1
2 3 3
3 1 2
3 1 0
1 2 0
3 0 2
2 3 0
2 1 0
10 5
0 2 3
1 1 1
0 0 0
2 3 2
2 3 0
1 0 3
0 3 1
2 2 3
2 1 3
1 3 0
10 8
1 1 2
3 4 4
4 2 4
3 0 3
1 4 0
0 0 3
1 3 1
0 0 0
2 2 4
3 2 0
10 9
1 0 4
1 0 3
0 1 3
4 4 0
4 1 2
1 1 1
2 2 2
4 2 0
2 1 0
3 1 2
10 4
1 2 3
2 1 3
1 2 4
2 4 2
0 2 1
3 4 3
1 2 1
1 3 0
4 3 2
0 1 4
10 2
3 2 0
2 3 0
4 0 1
4 1 2
1 3 1
4 3 3
2 0 2
3 2 4
0 2 3
1 2 4
10 7
2 3 0
3 2 1
4 3 4
4 3 2
5 3 5
1 5 5
4 3 1
4 1 2
0 4 1
4 1 4
10 9
3 2 1
1 1 2
3 2 0
1 0 0
2 2 2
2 2 0
0 2 1
2 1 1
0 1 0
3 3 0
10 6
3 3 3
4 3 5
1 0 1
3 0 2
2 5 1
0 0 2
1 1 4
1 1 1
5 4 1
0 1 4
10 5
2 3 0
2 1 1
3 1 2
3 0 3
1 0 0
0 0 2
1 1 1
0 3 3
0 3 1
1 0 1
10 8
1 0 0
0 0 1
2 0 0
0 1 1
1 2 1
1 2 2
0 1 2
2 2 2
0 0 0
2 1 1
10 6
1 2 0
0 1 2
1 1 0
2 2 2
1 2 2
1 0 2
2 2 1
0 2 0
1 1 2
1 1 1
10 6
1 2 1
2 1 1
0 0 0
0 2 0
1 1 2
2 2 2
1 0 2
2 1 2
1 2 2
2 2 0
10 4
0 2 1
4 3 0
4 4 2
4 0 0
0 3 2
4 1 2
1 0 3
3 4 0
3 4 3
1 1 1
10 8
0 1 0
4 3 0
4 0 2
2 2 4
0 1 4
3 3 3
3 1 4
4 2 0
4 3 3
2 3 1
10 6
0 0 4
1 4 2
1 1 5
4 5 3
5 5 5
0 0 5
5 1 3
1 2 3
5 2 4
2 2 1
10 7
4 5 5
2 0 5
1 0 1
2 5 5
1 3 1
0 2 5
1 4 0
5 5 1
5 3 2
0 0 4
10 5
1 3 2
0 2 0
3 2 3
0 3 2
2 2 2
2 0 0
0 1 3
0 3 3
0 3 1
3 3 3
10 6
3 1 0
0 3 2
3 2 2
2 1 4
2 2 0
1 2 0
0 3 1
4 0 2
0 0 4
2 4 2
10 4
2 1 1
0 0 0
2 0 2
1 2 0
1 1 1
1 2 1
0 2 0
0 2 1
2 2 1
2 0 1
10 6
0 2 0
1 1 3
3 2 1
1 0 0
3 2 3
3 1 1
3 0 0
0 0 0
2 1 0
3 0 3
10 9
3 3 5
2 0 1
1 2 5
3 4 2
0 0 3
2 0 0
5 3 0
2 5 0
4 2 4
0 2 4
10 7
0 1 1
1 1 0
2 0 0
0 2 2
0 2 1
0 2 0
0 0 2
2 0 2
0 0 0
1 1 1
10 9
4 1 0
1 2 4
1 3 3
4 3 1
4 0 2
0 0 3
3 0 2
1 2 0
4 0 3
3 0 0
10 2
3 1 0
3 2 1
2 1 0
0 3 1
2 2 1
0 1 1
3 3 0
1 1 1
0 1 0
3 3 3
10 4
2 1 3
1 5 0
1 5 4
4 1 2
3 0 3
3 2 4
5 1 0
1 1 4
3 4 0
2 1 5
10 7
0 3 0
1 1 3
2 1 2
2 1 1
3 1 2
0 2 3
0 1 1
2 1 3
1 3 1
3 3 1
10 8
1 2 0
0 1 2
4 3 3
4 2 3
2 3 1
3 1 2
3 2 1
4 1 4
0 4 1
4 0 4
10 8
1 4 1
2 0 1
4 0 1
2 3 4
4 4 3
1 3 1
0 2 3
0 4 4
2 3 1
3 1 3
10 3
1 0 1
2 2 1
0 0 2
2 0 2
0 1 2
0 0 0
0 0 1
0 2 0
1 1 0
1 2 0
10 2
3 2 1
1 3 4
4 4 1
3 1 4
1 3 0
1 2 4
3 2 3
1 1 2
1 3 3
4 4 3
10 4
0 5 1
4 2 1
3 1 0
3 5 1
5 3 3
5 3 5
4 1 1
3 5 5
2 5 0
0 3 3
10 7
2 0 3
2 3 1
1 2 1
0 1 3
0 2 2
2 2 0
0 2 3
2 2 2
1 0 0
1 2 2
10 9
2 2 1
3 0 2
3 1 2
0 1 2
0 0 3
1 3 1
1 2 2
0 1 0
3 2 3
0 3 1
10 8
5 5 4
1 0 3
1 3 0
2 3 1
2 1 3
3 5 2
3 2 2
3 5 0
2 5 3
4 1 4
10 5
3 2 3
1 2 2
1 2 1
2 3 3
3 2 2
0 1 0
3 1 0
2 0 1
0 0 0
1 3 2
10 5
2 2 2
2 1 0
0 2 1
3 3 3
0 0 0
1 0 0
3 2 3
2 0 2
2 1 1
1 1 2
10 6
2 4 2
4 2 1
0 2 1
2 4 4
2 3 4
2 1 3
1 2 3
3 0 2
2 2 1
1 1 2
10 9
3 1 3
0 2 1
1 2 2
5 0 4
5 4 5
4 4 2
0 4 2
5 2 2
1 3 5
1 4 0
10 5
5 1 3
0 1 4
0 0 5
4 4 0
1 3 1
3 4 4
2 3 5
3 4 5
1 4 5
5 4 2
10 2
0 0 0
3 5 1
2 5 3
1 4 1
3 3 2
5 0 1
5 0 3
5 2 2
5 5 3
0 1 3
10 8
4 3 0
3 1 4
5 0 0
1 1 3
5 3 5
5 1 2
0 3 3
3 2 3
1 3 2
5 1 3
10 6
4 1 1
4 3 3
3 1 0
2 0 0
1 4 4
3 3 4
0 4 2
3 0 4
1 4 1
1 2 2
10 9
4 1 2
5 2 3
3 3 3
0 4 2
4 1 4
4 1 1
0 0 5
0 3 5
5 4 1
1 2 1
10 4
2 1 2
1 0 2
2 2 1
1 2 0
2 2 2
0 2 1
2 0 1
0 0 0
1 1 0
2 0 0
10 6
1 1 4
0 5 0
5 2 4
1 1 3
3 4 0
5 1 3
0 3 4
2 3 4
2 3 1
5 0 0
10 5
1 1 0
3 3 1
2 0 0
3 0 1
2 2 2
0 0 1
2 1 3
0 2 1
2 1 0
1 1 1
10 8
4 0 4
1 2 5
2 1 0
1 3 3
2 5 5
4 4 1
4 4 3
1 3 2
4 2 4
3 4 4
10 8
2 2 2
4 2 2
1 2 1
3 2 2
1 0 0
3 2 3
1 2 0
3 3 2
0 1 1
2 0 3
10 4
2 0 2
1 0 1
1 0 0
2 1 1
2 2 0
0 2 1
1 2 1
0 1 0
0 0 0
2 0 0
10 4
1 0 0
2 0 3
0 1 2
3 3 2
0 3 0
1 0 2
1 2 3
2 1 1
3 1 3
1 1 1
10 2
2 0 2
2 1 1
2 1 0
2 0 1
0 0 0
0 0 1
0 1 0
1 2 2
1 1 0
1 1 1
10 9
0 2 2
0 4 0
0 0 3
4 2 1
3 4 0
1 1 2
4 1 2
2 0 2
2 2 3
3 0 1
10 9
3 2 0
0 2 3
0 4 1
4 2 1
3 2 2
1 3 4
3 3 0
4 1 0
2 1 1
1 1 0
10 6
1 2 2
1 0 1
1 2 0
1 0 0
0 1 1
0 1 2
2 2 2
1 1 2
1 2 1
2 2 0
10 5
0 2 0
2 5 2
2 4 0
3 2 2
1 0 0
2 4 2
0 2 1
1 0 3
0 5 3
4 2 3
10 2
3 1 0
1 3 3
0 3 0
2 0 3
0 2 2
3 0 1
3 3 0
0 1 3
0 0 2
3 1 2
10 5
1 0 1
0 2 2
2 2 0
1 1 1
2 0 2
2 1 1
0 1 1
0 1 2
2 2 2
0 2 0
10 4
0 0 0
2 2 0
1 1 0
0 0 1
0 2 2
1 0 0
1 1 2
2 1 0
0 1 1
1 0 2
10 4
1 2 3
2 4 1
3 0 1
0 3 0
1 5 3
1 3 1
0 5 4
0 5 2
3 1 0
4 5 0
10 9
0 0 1
2 1 2
0 0 0
1 0 1
1 0 0
0 1 1
2 0 2
2 0 1
0 1 2
0 0 2
10 5
3 2 1
2 3 0
4 4 0
2 0 1
4 1 0
0 3 1
3 2 0
3 1 2
4 1 2
1 3 4
10 4
4 0 3
4 0 1
1 1 1
1 1 0
3 1 1
1 2 3
3 3 1
2 2 0
4 0 2
2 0 0
10 7
3 4 3
2 4 3
0 0 4
4 0 5
5 2 3
3 1 5
2 4 0
2 2 3
2 0 1
0 0 3
10 7
0 3 3
1 2 1
3 0 3
3 1 0
0 1 0
3 0 0
2 2 2
0 1 1
2 0 2
1 2 2
10 5
1 2 2
0 0 1
2 0 2
1 1 2
1 2 1
1 1 1
0 2 0
2 1 1
0 0 0
1 0 0
10 9
0 4 0
3 4 1
1 1 0
1 4 3
2 4 0
4 3 4
3 3 4
2 4 3
4 0 0
2 0 3
10 4
1 1 0
3 0 0
3 1 0
2 1 2
0 3 3
3 0 1
0 2 2
1 3 2
2 0 0
3 3 1
10 6
2 0 3
4 0 3
3 3 3
3 0 2
1 4 1
3 3 0
3 4 4
1 3 1
0 2 2
2 3 1
10 5
1 1 0
0 1 1
1 0 2
3 3 0
1 2 3
3 1 1
2 2 2
2 0 1
1 3 0
0 2 0
10 9
2 2 2
5 2 4
4 3 1
0 5 1
0 4 1
4 3 4
0 2 1
3 3 1
0 0 3
1 3 0
10 4
3 0 4
1 2 3
3 4 3
4 0 1
3 4 0
0 1 1
3 2 1
0 0 1
1 4 2
4 3 3
10 9
0 1 1
2 0 2
2 0 1
1 2 0
2 2 1
1 1 2
0 1 2
2 1 0
0 0 2
1 0 2
10 5
3 0 2
0 2 2
3 2 0
0 0 1
1 0 3
1 2 1
1 0 0
3 1 1
2 2 1
0 2 3
10 3
2 2 3
0 1 0
1 1 0
3 1 2
3 2 3
1 2 2
3 0 1
3 2 1
0 0 3
1 2 0
10 7
1 3 1
4 4 5
0 3 4
1 1 3
2 1 2
4 3 3
4 5 4
1 4 0
3 1 3
0 0 3
10 9
3 0 1
1 1 1
1 4 0
2 4 4
4 1 0
1 0 3
4 3 2
3 4 1
3 3 2
4 2 3
10 8
2 2 3
4 1 2
4 1 4
5 0 2
5 1 0
0 5 0
1 4 3
3 4 5
4 1 1
4 5 5
10 9
0 4 3
3 5 1
1 5 1
3 5 0
4 2 5
1 0 0
2 0 5
2 3 5
0 5 4
1 4 4
10 8
1 0 1
0 2 1
2 1 2
0 0 0
0 2 0
2 1 0
1 2 0
2 0 1
1 0 2
1 1 0
10 7
3 4 1
4 4 2
4 3 4
2 2 0
0 4 0
2 2 5
0 5 4
5 4 0
2 5 4
1 2 1
10 9
1 1 2
2 3 3
2 2 3
0 3 0
0 2 2
0 1 3
3 0 2
1 0 1
2 2 0
3 0 1
10 5
2 1 3
0 2 3
1 1 0
3 0 2
2 3 3
0 1 1
2 0 2
0 2 1
1 0 3
0 1 3
10 4
0 2 1
2 2 2
0 0 0
1 2 0
2 1 1
1 1 2
1 0 2
0 0 1
2 1 0
2 0 2
10 3
4 3 4
3 1 3
2 5 5
1 0 0
0 3 3
1 2 0
4 0 3
3 3 3
1 1 4
3 0 1
10 5
2 1 0
0 2 1
2 1 2
2 0 1
0 2 0
2 1 1
0 1 0
2 0 2
2 2 1
2 0 0
10 7
1 0 3
3 1 2
4 3 0
2 1 2
1 1 3
1 4 0
2 4 1
0 1 3
4 2 0
3 4 1
10 4
2 3 5
1 1 1
4 2 0
2 3 1
2 2 3
1 2 2
2 3 3
5 2 0
1 3 0
3 4 2
10 3
0 0 1
2 0 1
2 2 1
2 2 0
2 1 2
1 2 1
2 1 1
2 0 2
1 1 1
1 1 0
10 8
1 3 3
1 2 4
5 2 4
1 5 1
1 3 5
2 3 2
0 3 3
4 0 1
2 3 1
1 3 0
10 5
0 2 3
1 1 0
1 1 2
2 0 1
1 2 1
0 3 2
0 1 1
0 1 2
3 3 3
2 2 1
10 6
2 0 0
0 0 1
1 2 2
1 1 2
1 1 1
1 2 1
1 2 0
1 0 0
0 1 0
1 0 1
10 4
0 1 0
2 1 2
0 0 1
0 0 2
1 2 2
1 1 2
2 0 2
0 2 0
1 0 2
1 2 0
10 3
0 5 0
1 4 2
2 1 3
4 2 5
3 5 1
1 3 3
1 1 1
0 5 1
3 2 3
2 3 4
10 2
2 5 5
3 3 3
2 5 1
5 0 3
4 0 0
0 2 4
5 2 4
1 5 3
3 2 4
2 2 2
10 2
3 2 0
3 2 3
1 1 1
3 2 2
2 3 3
1 0 2
0 1 3
2 1 3
2 2 3
0 3 2
10 4
1 2 2
0 0 0
2 3 3
2 1 3
2 2 1
1 2 3
1 3 3
3 0 1
3 3 2
1 1 1
10 5
3 0 2
3 2 2
1 3 4
4 2 4
1 0 0
2 2 1
1 0 3
4 0 0
0 1 4
2 4 2
10 5
3 1 0
4 4 3
2 1 0
1 3 2
0 2 4
0 2 0
0 2 1
3 1 1
1 0 2
3 4 2
10 2
0 4 4
0 0 0
2 3 1
3 2 2
0 1 1
3 3 3
0 5 5
1 1 4
1 1 3
3 1 5
10 6
2 0 0
1 2 1
2 1 0
0 1 2
2 1 1
1 1 2
1 1 0
1 0 0
1 2 0
1 0 2
10 2
3 3 2
4 2 1
0 4 2
1 1 3
1 3 1
0 0 1
1 0 0
1 4 1
0 0 2
1 0 3
10 7
4 1 3
4 1 0
2 4 3
4 2 2
4 0 0
3 2 0
4 3 1
4 1 1
2 0 0
4 3 2
10 4
0 0 5
1 1 2
5 5 5
4 1 2
5 2 5
4 4 5
3 4 3
1 1 3
2 3 0
3 2 0
10 3
1 3 1
3 1 1
2 1 0
3 2 0
1 1 0
3 0 0
3 2 1
1 3 2
2 0 3
0 2 2
10 7
0 3 3
2 2 0
3 0 3
3 1 3
2 0 3
0 0 1
0 2 0
2 3 2
3 3 3
2 2 1
10 2
2 1 1
1 2 2
2 2 0
1 2 0
1 0 1
1 1 1
0 0 0
1 2 1
2 1 2
0 0 2
10 8
2 1 2
2 1 1
1 2 0
0 1 1
1 1 2
0 0 1
0 1 0
0 0 2
1 2 1
2 0 2
10 7
0 1 3
3 3 0
1 0 0
0 3 3
3 1 0
1 0 2
3 0 3
2 0 1
0 3 0
2 3 2
10 2
2 0 3
2 5 2
2 5 0
5 1 0
5 0 1
0 2 5
5 5 2
1 4 4
5 4 4
1 5 5
10 6
1 0 1
0 1 2
1 0 2
2 2 2
0 2 1
2 1 0
2 0 1
2 0 2
1 2 2
2 1 2
10 4
0 2 2
0 0 1
2 0 3
2 3 3
2 0 1
2 0 2
2 2 2
3 1 3
1 2 2
3 0 2
10 7
2 0 2
1 2 1
0 2 1
0 0 0
2 0 0
0 1 0
2 1 1
2 2 1
2 1 0
2 2 0
10 6
1 4 3
0 0 4
0 4 3
4 1 1
3 2 4
2 4 1
4 4 3
2 3 3
0 0 2
2 1 1
10 6
2 1 1
1 2 3
3 0 2
1 4 0
4 3 1
1 3 0
0 3 1
0 1 4
0 0 0
4 3 4
10 9
2 3 1
4 0 2
3 3 3
4 5 0
2 2 3
3 2 5
2 3 2
1 4 3
0 2 2
1 0 2
10 2
0 0 0
2 0 1
1 0 0
0 1 1
1 1 1
2 2 1
2 0 2
1 1 0
0 1 2
0 2 2
10 8
1 0 1
1 3 0
3 0 0
1 0 0
0 2 2
2 3 0
3 0 1
0 0 2
3 3 1
3 1 3
10 8
0 1 4
0 2 1
1 2 2
4 4 3
4 2 1
2 3 3
3 0 3
3 3 0
2 4 3
3 4 3
10 2
0 2 3
2 3 5
4 0 4
4 0 3
5 4 2
2 5 5
2 2 4
4 1 1
2 1 3
1 1 4
10 4
2 1 2
0 1 2
0 1 0
2 1 0
0 2 2
1 2 0
0 0 2
0 2 0
0 0 1
0 2 1
10 9
1 4 2
3 0 1
2 3 2
3 1 0
3 1 4
4 4 3
1 2 3
4 2 0
4 1 4
3 2 4
10 2
3 3 4
0 4 3
3 0 4
2 0 0
0 2 0
0 3 1
1 3 4
2 3 3
4 3 2
1 3 3
10 6
0 1 2
0 2 1
1 0 0
1 0 2
2 1 1
0 1 1
1 2 2
2 2 1
1 0 1
2 0 1
10 5
2 0 0
1 2 1
0 2 0
1 0 1
1 0 2
0 2 1
1 1 2
2 0 2
1 2 2
2 2 1
10 5
3 0 2
1 1 1
3 1 0
0 1 3
1 0 0
3 3 2
2 1 2
0 1 0
1 3 0
3 1 2
10 9
1 1 2
4 2 4
3 3 5
4 5 0
3 1 5
5 3 3
2 1 2
0 0 0
0 4 1
3 1 2
10 7
3 2 2
3 2 4
4 2 4
2 3 1
4 0 4
4 4 1
2 0 3
4 0 0
3 4 0
3 4 1
10 8
2 3 1
2 2 2
3 2 2
1 0 2
0 2 0
1 2 2
3 2 3
1 1 3
2 1 0
0 0 3
10 9
3 1 0
0 3 0
4 0 3
4 3 1
1 0 1
1 1 1
2 1 0
1 3 4
4 3 0
0 1 4
10 6
0 0 3
3 3 0
1 0 2
3 1 2
3 0 3
3 2 2
3 2 0
1 3 0
3 3 1
1 1 3
10 9
1 2 1
0 2 3
4 3 4
4 0 2
4 4 4
4 3 1
1 4 4
2 4 2
0 2 4
4 3 2
10 5
5 5 1
1 3 2
3 4 0
5 4 4
1 4 4
1 0 4
3 0 0
1 2 4
0 3 3
2 0 2
10 4
3 1 3
3 3 2
2 1 1
0 0 0
0 2 3
0 2 1
2 3 1
0 3 1
1 2 3
1 3 0
10 3
1 3 4
5 2 3
4 2 0
3 1 0
5 1 2
2 0 3
3 2 0
3 5 4
5 1 3
0 0 1
10 8
3 2 0
2 2 4
1 3 2
0 0 3
2 4 0
2 3 4
3 1 1
2 3 0
2 4 3
4 2 2
10 6
0 1 2
2 2 1
1 2 2
0 1 0
1 0 2
2 2 2
0 1 1
1 2 1
2 0 1
2 2 0
10 5
1 0 0
0 0 0
1 1 1
1 2 0
1 0 2
2 0 1
0 1 2
0 2 1
2 2 0
1 0 1
10 7
3 5 4
3 1 1
1 0 3
5 2 5
0 1 2
0 2 5
4 0 3
1 4 3
2 5 3
0 3 1
10 5
1 0 0
2 1 0
0 0 2
2 1 1
2 1 2
1 1 1
1 0 2
1 2 0
1 1 2
2 0 0
10 8
1 0 1
2 1 0
3 2 1
0 0 0
0 3 0
0 2 3
2 2 2
3 0 0
3 3 0
2 1 1
10 7
2 0 1
1 0 2
2 2 0
1 1 0
1 2 2
2 2 2
1 0 1
1 2 1
0 0 1
0 2 0
10 7
1 0 2
1 1 1
1 0 0
1 1 2
2 2 2
2 0 2
2 2 0
2 1 2
0 0 2
0 1 1
10 3
2 0 1
3 0 1
1 0 2
3 2 2
2 1 3
2 1 0
2 2 1
3 0 0
1 1 0
2 3 1
10 9
3 0 0
1 0 2
4 3 5
0 3 0
0 4 5
1 1 5
0 4 0
2 4 0
2 1 2
1 0 5
10 7
3 3 3
3 3 1
3 3 2
0 1 0
3 1 1
2 1 1
1 3 1
2 3 3
1 0 3
0 2 0
10 2
1 4 4
3 0 1
4 4 1
2 4 1
2 4 4
3 4 3
4 0 4
3 0 2
1 0 4
0 1 4
10 2
2 1 0
1 0 1
0 0 0
0 0 1
0 1 1
2 0 0
2 1 1
2 2 2
2 0 1
1 2 1
10 4
2 0 1
1 0 2
2 1 1
1 0 1
2 1 2
1 1 2
1 1 0
0 2 1
0 1 0
2 2 0
10 7
1 1 2
0 2 1
0 1 2
1 2 1
2 2 0
2 0 0
2 2 2
0 1 1
1 0 2
2 0 1
10 3
1 4 4
4 4 2
3 0 1
2 3 3
4 3 2
2 4 1
2 2 2
4 3 1
0 1 2
1 1 0
10 2
0 2 1
3 3 2
1 1 3
0 3 1
2 0 1
0 3 0
1 3 1
2 3 2
1 1 0
3 3 1
10 6
3 0 0
3 2 2
0 2 0
1 1 2
3 1 3
1 0 2
1 1 1
3 1 2
2 1 1
2 3 1
10 7
1 0 0
0 1 0
1 2 0
4 1 3
0 2 1
2 4 0
3 1 4
4 3 2
3 0 0
3 0 3
10 4
1 2 1
1 0 0
0 1 3
2 3 2
1 3 1
1 0 2
2 3 1
1 0 1
2 1 0
3 1 2
10 3
2 2 0
3 4 0
1 3 1
3 3 1
2 4 0
0 3 4
0 0 1
4 1 3
1 1 1
1 4 2
10 3
1 2 0
0 2 0
2 0 0
1 1 0
0 1 1
0 0 2
0 1 0
1 0 1
0 2 1
2 1 0
10 4
5 5 3
3 0 3
2 2 1
2 3 4
0 0 1
0 0 5
4 3 1
5 3 4
3 4 0
0 0 0
10 3
2 1 0
3 3 1
2 1 2
1 1 3
0 0 1
4 3 2
4 4 0
1 0 0
3 1 1
3 1 2
10 9
2 2 0
0 1 2
2 1 0
1 2 1
2 0 2
1 2 0
1 0 2
1 1 0
2 0 1
2 1 1
10 2
2 0 0
3 3 0
0 3 2
2 0 3
1 3 1
1 0 2
2 2 0
0 0 0
2 0 2
2 3 1
10 3
4 4 3
0 1 0
2 2 4
3 4 1
0 5 3
0 4 4
0 4 1
2 3 3
1 2 0
4 4 5
10 9
1 1 1
0 1 1
0 1 2
0 2 0
0 0 0
0 2 2
0 1 0
0 2 1
0 0 1
1 2 1
10 6
1 1 2
2 2 0
2 1 2
0 0 1
0 2 1
2 1 0
0 1 1
0 1 2
1 0 0
1 1 1
10 5
4 4 0
1 3 3
2 4 0
4 2 2
1 0 3
3 4 3
2 3 3
1 3 2
3 0 0
1 3 4
10 6
1 2 0
0 2 1
1 1 2
0 2 0
1 0 0
2 0 0
0 0 2
2 2 2
2 2 0
2 1 0
10 2
0 2 2
1 1 1
1 2 2
0 0 1
1 2 1
2 2 2
0 1 2
2 2 0
0 0 0
2 0 0
10 8
1 2 1
0 1 2
2 3 0
1 1 3
0 1 1
3 1 3
3 3 1
2 2 3
3 1 2
1 3 3
10 6
2 0 3
4 0 1
1 0 2
1 4 2
3 4 0
4 1 1
3 3 0
4 4 1
2 1 1
4 0 2
10 5
3 1 2
3 3 1
2 0 0
1 0 0
0 1 3
3 1 1
1 1 0
0 1 2
2 0 1
0 2 0
10 8
0 0 0
0 1 1
2 2 1
1 0 0
1 2 2
0 2 1
1 1 2
0 0 2
2 0 2
1 0 2
10 6
0 2 2
0 0 2
0 2 1
0 0 1
1 2 2
2 2 0
1 0 2
2 1 1
2 1 2
1 2 1
10 4
1 1 1
1 0 2
0 0 1
2 2 2
0 2 1
1 1 2
1 0 0
1 1 0
2 0 2
2 1 0
10 8
3 0 0
0 1 2
2 1 3
2 3 2
1 3 2
1 1 2
2 3 0
2 2 1
3 0 1
2 2 0
10 3
2 0 1
0 1 2
3 2 0
2 0 2
0 2 0
1 3 2
3 1 2
2 0 3
1 3 0
3 0 2
10 8
0 2 0
2 1 0
1 0 0
0 1 3
0 1 0
2 1 3
1 2 1
1 2 3
2 0 2
2 2 2
10 9
2 2 1
0 2 0
2 1 1
2 1 2
0 1 0
2 2 0
2 0 1
1 0 2
0 2 1
2 0 0
10 3
2 4 1
2 0 3
4 1 5
0 3 0
1 3 4
1 2 1
2 1 5
2 0 4
4 4 1
5 2 2
10 2
2 1 2
0 1 1
0 0 3
0 3 1
2 2 3
3 2 1
2 2 0
2 0 0
1 0 0
1 2 1
10 7
2 0 2
0 0 0
1 1 2
0 2 0
0 2 1
1 1 0
0 1 2
2 1 2
1 2 1
2 2 1
10 7
1 2 4
1 1 4
3 4 4
0 4 4
4 0 0
1 2 1
1 3 4
3 1 2
4 1 3
3 3 2
10 4
2 1 0
2 0 1
0 0 1
3 3 1
1 0 0
1 3 1
0 0 2
2 2 0
1 3 3
0 2 3
10 7
0 0 1
0 1 2
1 1 1
1 2 2
2 1 0
1 0 1
0 0 2
2 0 0
0 2 2
2 1 2
10 5
2 4 0
3 1 3
2 3 2
1 3 4
3 2 0
2 3 4
2 1 0
0 2 3
4 3 4
3 2 3
10 8
4 3 4
0 4 1
0 0 5
1 1 4
2 4 0
1 5 5
5 5 3
4 3 5
0 5 4
2 0 2
10 3
1 1 0
0 3 3
3 3 0
3 1 1
0 1 3
4 2 0
0 3 2
4 1 4
4 2 3
3 2 4
10 5
1 1 1
2 1 2
1 4 1
1 3 0
2 2 1
1 3 2
3 3 2
1 1 3
3 3 1
0 3 3
10 9
1 2 3
0 0 1
0 0 2
2 0 1
2 3 3
1 2 1
1 0 1
0 2 3
1 3 0
3 3 0
10 2
4 0 0
4 1 4
0 3 1
5 3 3
2 3 5
2 1 5
3 4 0
3 4 5
3 0 2
2 1 0
10 4
1 3 2
2 1 0
3 0 0
2 1 3
2 0 3
2 2 1
3 2 3
3 3 3
2 1 1
1 0 0
10 3
2 1 0
1 0 1
0 0 2
0 2 1
1 0 0
2 0 0
0 1 2
1 2 1
1 2 0
2 2 1
10 4
3 2 1
2 2 2
0 3 1
1 0 2
0 0 0
1 2 0
0 2 3
1 1 0
2 3 0
1 0 3
10 9
2 3 0
2 0 3
3 2 0
0 0 3
0 2 0
3 4 4
0 1 1
3 4 2
3 3 2
0 4 0
10 4
0 1 0
1 2 0
3 0 3
2 2 0
1 1 2
2 1 0
1 0 2
2 3 2
1 2 1
1 0 3
10 6
0 2 1
1 3 2
2 2 0
1 2 3
0 3 2
0 3 0
2 1 3
2 3 0
1 3 0
2 1 1
10 6
1 2 2
3 0 0
1 0 0
1 1 3
2 0 3
3 2 2
0 2 3
1 1 1
3 0 1
3 1 3
10 7
0 2 0
1 1 3
3 1 1
1 1 2
0 0 2
0 3 1
3 3 2
3 3 1
2 0 2
3 3 0
10 4
2 0 0
0 4 1
0 2 1
4 3 2
1 1 1
1 3 3
1 2 1
1 0 0
2 3 2
4 2 3
10 8
2 4 3
5 0 1
0 0 4
0 1 5
5 4 4
1 1 4
0 0 0
4 3 4
2 3 4
1 1 1
10 4
1 1 0
1 1 2
2 1 2
1 1 1
1 2 0
1 0 2
2 2 1
0 2 1
2 2 0
0 2 0
10 2
1 1 3
3 2 2
3 1 3
3 2 3
1 0 0
0 1 0
1 1 2
3 3 0
3 0 1
3 0 3
10 7
2 4 2
1 1 2
3 1 2
4 4 2
3 4 1
2 0 1
0 3 2
4 3 3
3 3 2
2 3 0
10 3
2 2 2
1 1 2
0 1 1
0 1 2
0 1 0
1 1 0
1 2 1
2 0 0
2 0 1
0 2 2
10 5
0 1 0
1 1 1
2 2 1
1 0 2
1 1 0
1 1 2
0 1 1
0 1 2
2 1 0
2 1 2
10 6
0 4 5
4 5 1
4 1 1
0 3 3
5 3 5
4 5 2
0 1 4
2 5 3
0 3 5
3 2 0
10 9
3 4 4
0 3 3
4 4 1
4 1 0
2 4 2
2 4 0
3 3 1
1 0 4
2 1 0
0 4 2
10 7
4 0 2
2 0 0
4 1 1
0 4 2
3 4 2
3 4 0
3 1 1
0 3 0
2 1 3
1 1 1
10 8
3 3 0
1 1 2
0 2 2
2 1 3
1 3 3
3 2 2
1 2 1
1 2 3
0 1 3
3 0 2
10 6
1 3 0
1 3 3
0 1 0
2 0 2
3 2 0
0 2 3
2 4 4
2 1 3
4 2 1
2 0 0
10 8
2 5 4
2 5 0
1 4 0
2 4 0
0 3 2
0 0 2
5 0 5
4 5 2
4 4 3
0 0 3
10 6
0 4 4
4 3 3
2 0 5
0 3 1
2 1 2
3 5 5
0 4 5
3 4 0
5 2 4
0 3 0
10 8
5 3 0
4 4 4
0 1 2
2 4 1
5 4 1
2 1 3
5 1 1
3 2 4
0 2 3
3 2 3
10 7
5 5 5
0 5 5
2 3 2
1 2 3
4 4 3
4 5 1
0 2 2
5 4 1
3 0 0
2 2 5
10 4
0 1 2
2 1 0
0 1 1
0 1 3
2 1 1
3 1 0
2 2 1
1 2 3
0 3 3
0 2 1
10 9
4 3 0
3 1 0
2 0 4
3 0 2
1 1 1
5 1 0
4 3 3
1 3 0
2 1 5
3 5 4
10 6
0 2 0
1 2 2
2 0 2
2 0 0
1 0 2
2 1 2
0 2 2
1 2 1
1 0 0
0 1 2
10 2
2 3 3
0 3 1
0 2 0
0 1 2
2 2 2
3 1 2
0 1 1
1 3 1
3 3 3
2 0 3
10 8
2 2 1
1 2 1
2 1 0
2 3 1
3 0 1
2 1 1
2 2 3
0 0 2
2 0 1
1 3 0
10 8
3 3 1
3 2 4
2 0 1
4 1 0
2 1 0
0 2 1
4 2 4
4 3 2
3 3 4
1 4 3
10 7
1 4 5
1 2 0
4 1 1
2 1 2
4 2 5
1 0 2
0 0 5
2 2 0
3 5 0
4 3 2
10 9
2 4 2
2 2 3
3 5 2
3 0 1
5 0 2
5 4 0
0 3 1
2 3 1
5 4 2
0 3 0
10 8
0 1 0
3 4 1
3 1 4
3 3 0
4 1 3
4 3 3
2 0 2
3 0 1
4 1 1
1 2 4
10 2
1 2 2
2 1 3
1 1 1
3 0 1
1 0 3
2 0 0
0 2 3
0 3 2
3 2 2
0 1 3
10 4
0 0 1
2 3 3
4 0 1
0 1 0
4 1 2
1 2 2
4 2 0
1 3 2
4 0 3
3 1 4
10 2
1 0 4
4 2 3
0 0 1
4 4 2
2 2 1
2 2 0
3 3 3
4 0 0
4 2 4
2 2 3
10 8
2 1 3
2 2 0
0 1 2
3 2 1
0 0 2
1 3 3
1 1 0
2 3 1
3 1 1
2 2 2
10 6
0 2 0
4 3 5
0 4 5
5 0 1
0 0 1
1 1 3
2 2 3
4 3 0
1 1 4
5 1 4
10 6
0 2 1
0 1 2
2 2 0
2 2 1
0 0 0
1 1 1
2 0 2
1 0 1
1 1 0
1 1 2
10 7
1 2 1
3 3 3
3 2 2
1 0 3
1 0 2
3 1 0
3 0 2
2 1 3
2 3 3
0 3 2
10 9
0 2 2
3 2 0
0 0 2
3 2 3
0 3 0
2 1 0
3 2 1
2 0 0
0 3 2
3 3 3
10 2
1 2 0
2 0 2
0 1 2
1 1 2
2 1 0
2 2 2
1 0 2
0 0 2
2 0 0
0 1 1
10 2
3 2 0
3 1 0
3 0 3
0 0 1
0 2 1
1 0 1
2 0 3
0 2 3
1 0 2
3 0 1
10 6
1 2 4
3 2 4
1 1 5
4 1 1
1 2 3
1 5 4
0 4 3
3 3 4
0 0 4
0 2 2
10 3
2 1 2
4 2 4
4 4 3
3 4 2
3 4 3
1 4 3
2 2 2
4 0 4
3 1 1
0 3 1
10 5
1 1 2
1 2 2
1 0 2
0 2 1
1 1 0
0 1 0
2 2 1
0 1 1
1 2 1
2 2 2
10 9
5 0 1
2 4 3
5 3 1
2 4 4
0 1 2
0 1 0
5 0 4
5 2 0
1 0 1
4 4 0
10 5
4 2 2
4 3 0
5 1 2
3 1 3
5 0 4
4 4 3
5 5 4
3 4 1
5 1 0
3 5 0
10 5
4 0 3
0 2 3
4 3 0
2 4 0
2 2 0
1 3 1
4 0 0
4 4 0
3 2 2
1 3 3
10 7
3 2 5
5 3 3
2 3 1
0 5 4
2 4 1
4 2 4
5 2 1
3 0 0
5 4 0
4 1 5
10 7
2 1 0
2 0 2
1 2 4
1 3 0
1 4 1
1 3 3
1 4 0
0 1 1
3 1 2
4 3 1
10 7
0 3 2
0 4 1
0 1 0
0 0 0
0 4 0
3 4 0
2 2 0
2 3 0
2 4 0
2 1 2
10 7
2 1 0
1 1 2
2 2 3
0 3 2
2 3 2
1 3 3
1 0 0
0 2 2
0 0 1
1 0 1
10 4
1 1 1
0 0 1
1 2 2
1 1 0
0 2 0
2 1 0
0 1 2
2 0 2
2 2 2
2 2 1
10 9
0 1 3
1 2 0
2 0 1
3 1 3
0 2 1
2 2 1
3 1 2
2 2 0
3 2 3
2 0 3
10 4
2 3 2
4 0 0
0 3 2
2 2 2
2 0 0
1 2 3
2 4 4
0 2 3
2 0 4
1 0 1
10 7
3 2 2
1 1 2
2 2 3
3 4 3
0 0 1
1 1 1
1 3 3
4 2 0
2 3 3
2 3 4
10 5
2 3 2
0 3 0
0 2 2
2 2 1
2 0 0
3 2 2
3 2 1
3 1 2
3 2 3
0 0 2
10 9
3 1 4
1 1 0
1 2 0
3 3 4
1 4 0
2 2 3
4 2 1
2 1 0
0 0 2
1 0 1
10 8
4 1 1
0 0 1
4 3 4
0 5 0
2 1 5
3 3 3
2 2 2
3 4 3
4 5 1
3 1 2
10 7
2 4 2
0 0 5
0 5 5
5 2 0
0 3 0
5 1 1
1 1 3
1 0 5
0 5 2
4 3 5
10 3
0 4 3
4 4 5
3 4 1
0 4 0
0 5 2
3 2 0
2 3 1
4 1 5
3 1 3
5 5 5
10 3
3 2 4
2 4 0
5 5 2
5 4 5
5 0 5
5 3 4
5 3 1
4 5 1
4 0 2
0 0 5
10 7
0 1 0
1 2 2
0 1 2
2 1 2
1 1 2
1 0 1
2 0 2
2 0 1
2 2 1
0 2 1
10 8
0 3 5
3 4 1
3 0 1
4 3 4
3 3 0
1 2 2
2 1 1
5 0 3
4 2 1
2 0 1
10 9
2 0 1
2 1 0
0 1 2
0 2 1
1 0 0
1 2 0
2 0 0
0 2 2
2 1 2
0 2 0
10 2
1 2 3
0 2 3
3 4 4
3 4 0
3 2 1
1 0 2
2 0 0
1 1 4
4 2 2
2 3 2
10 7
1 0 2
1 2 2
0 1 0
2 1 2
0 0 1
2 0 2
2 1 0
1 0 0
1 1 1
0 1 2
10 8
2 1 0
2 2 2
0 2 3
2 2 3
2 0 2
3 2 0
1 0 1
3 1 0
2 0 1
3 0 1
10 5
2 0 3
2 1 2
5 5 1
2 4 1
4 5 1
0 5 2
4 5 2
5 4 5
4 4 4
3 5 5
10 4
2 0 3
0 1 3
0 4 4
4 4 2
4 0 0
3 0 0
0 1 2
3 0 2
1 4 3
1 1 2
10 2
0 0 0
0 1 1
2 2 2
0 1 0
1 2 2
2 2 0
2 1 2
1 1 0
0 0 2
0 1 2
10 7
1 3 1
2 3 0
1 1 3
3 3 3
3 2 0
0 1 2
2 0 2
0 1 1
3 1 3
0 0 1
10 8
2 2 4
0 2 3
2 1 4
0 3 0
2 1 1
2 0 2
4 2 2
3 2 3
4 3 2
4 0 2
10 2
1 0 1
0 1 2
0 2 0
0 0 2
2 1 0
2 1 2
0 0 0
1 0 0
2 0 2
1 0 2
10 5
0 1 2
0 2 0
0 0 0
1 0 0
1 2 1
1 1 0
0 1 1
1 1 1
1 2 0
1 0 2
10 4
2 1 2
1 0 1
1 0 0
2 0 0
0 1 0
0 2 1
0 2 2
1 1 0
2 1 1
2 0 1
10 3
0 1 0
3 0 0
2 1 2
0 2 3
0 2 1
2 3 2
3 0 1
1 0 2
1 1 0
1 0 0
10 6
0 0 0
0 0 1
1 1 0
0 2 0
0 1 1
1 2 2
1 1 1
1 0 2
2 0 1
2 0 0
10 3
1 0 2
0 1 2
1 1 2
1 2 2
1 0 0
0 2 1
1 2 0
1 1 0
2 0 0
1 2 1
10 7
5 2 2
5 3 0
1 0 2
3 3 1
5 4 1
3 0 1
2 1 4
3 2 0
5 1 3
2 0 0
10 8
1 4 2
4 2 0
3 1 1
3 3 1
0 2 1
2 0 2
2 1 1
3 0 4
3 2 0
3 4 0
10 8
2 0 1
1 0 1
0 2 1
0 0 1
1 1 1
0 0 0
2 2 2
1 2 2
2 2 1
1 1 2
10 3
2 1 0
1 2 2
0 0 0
2 2 0
1 1 2
0 2 1
0 2 0
2 1 2
0 2 2
1 0 1
10 6
0 0 0
1 0 0
1 0 1
2 2 1
2 2 2
0 1 0
1 2 1
1 0 2
2 0 2
0 1 2
10 8
1 0 3
2 1 2
0 0 1
1 2 2
0 2 3
2 2 2
0 0 0
0 2 2
0 2 0
2 1 1
10 2
1 0 0
1 3 2
0 1 2
0 2 3
0 3 0
1 3 0
3 3 2
1 3 1
3 2 1
3 0 3
10 9
1 4 5
3 3 4
1 2 4
5 5 3
5 2 3
4 5 5
1 0 5
1 3 3
1 1 5
4 4 2
10 7
3 3 4
3 4 0
2 5 3
5 1 0
0 4 3
1 2 1
5 0 3
4 3 4
4 0 2
1 2 4
10 2
0 0 1
1 2 2
0 0 0
2 1 2
1 2 0
0 1 0
0 2 2
2 1 1
0 2 1
1 1 0
10 2
0 0 0
2 3 3
1 0 0
3 0 1
2 0 0
0 1 3
0 2 0
2 0 2
2 1 0
3 2 3
10 7
2 4 3
1 4 4
4 3 1
4 0 1
2 1 0
2 0 2
0 0 4
1 1 1
4 3 2
1 3 4
10 7
1 1 0
3 0 3
2 4 0
1 1 3
3 1 0
0 4 2
4 1 2
2 3 2
3 3 1
1 4 1
10 9
3 0 2
0 0 1
0 2 2
1 4 4
2 0 2
3 3 2
4 1 0
2 2 4
1 4 2
4 0 4
10 9
2 2 0
5 4 4
4 3 3
1 4 0
1 0 3
0 1 3
1 2 1
3 2 5
2 0 1
4 5 5
10 5
4 2 3
4 0 1
1 1 4
0 3 0
4 3 2
1 4 2
3 3 1
1 2 0
4 0 3
3 3 0
10 7
4 0 3
4 4 4
4 1 2
3 4 3
4 3 0
1 1 0
3 3 3
2 1 3
3 1 3
2 2 2
10 3
4 3 2
4 1 4
4 3 4
2 5 5
5 0 1
4 1 5
2 4 5
5 1 5
3 5 1
4 1 1
10 7
4 3 4
0 1 1
3 4 1
1 1 1
4 0 2
2 1 2
3 1 2
0 4 3
4 4 3
2 3 0
10 6
1 0 0
1 4 4
2 1 4
0 2 1
1 0 4
3 3 2
4 3 0
0 1 4
0 2 4
0 3 0
10 7
1 4 1
4 4 4
3 0 4
2 3 0
0 3 0
4 4 3
0 3 3
4 3 3
3 4 4
4 1 0
10 6
2 4 2
0 0 3
4 2 1
3 0 3
1 1 2
0 2 2
3 1 1
0 1 3
3 4 1
3 1 0
10 8
4 1 3
3 0 1
3 1 3
3 5 5
3 5 4
4 0 3
4 3 3
0 5 1
0 1 1
4 2 5
10 4
0 2 1
2 0 0
2 2 2
2 1 0
0 2 0
2 2 0
1 2 1
0 1 0
1 2 2
0 1 1
10 3
1 0 2
2 0 0
2 2 2
1 1 0
0 0 2
1 2 1
2 1 1
0 1 0
1 0 0
0 0 0
10 9
2 1 0
1 1 5
3 4 4
2 3 0
1 5 4
3 4 1
5 3 3
1 0 3
0 4 0
5 1 4
10 4
1 1 1
0 1 1
2 1 2
1 0 0
1 0 2
0 0 1
0 0 2
1 0 1
1 1 0
2 0 1
10 2
2 0 3
1 0 1
1 3 0
0 2 0
0 2 1
1 0 0
2 0 1
0 3 2
0 1 1
3 3 0
10 3
1 0 0
0 1 3
4 2 0
1 3 0
4 1 0
2 3 3
2 0 4
4 3 3
0 1 1
2 1 3
10 5
2 4 0
0 4 3
2 0 3
3 0 3
4 2 2
0 3 4
3 4 4
0 2 4
1 0 3
2 3 4
10 3
3 3 1
3 4 1
2 4 0
4 4 3
4 3 1
0 4 2
2 0 4
1 0 3
0 1 0
3 0 2
10 4
0 0 1
0 0 0
1 2 1
0 2 2
1 2 2
1 1 1
2 2 1
0 1 2
2 1 0
2 1 1
10 2
4 1 2
4 1 4
5 3 2
4 1 3
4 5 1
2 3 2
5 2 2
4 4 2
0 0 2
4 2 2
10 5
2 1 3
3 4 3
0 2 3
3 1 4
2 0 1
3 4 1
3 2 1
0 4 4
2 2 0
0 4 3
10 2
0 0 3
3 2 0
2 2 0
1 2 1
3 1 2
3 3 2
0 3 1
1 2 2
3 1 3
3 0 3
10 2
4 4 1
4 3 3
0 0 0
5 5 2
2 0 3
4 5 0
3 3 2
3 4 0
5 2 5
0 2 3
10 2
1 0 1
3 2 0
3 0 0
1 2 1
4 0 3
0 3 3
4 0 4
0 4 0
3 2 2
3 0 1
10 3
2 0 3
0 0 1
1 1 1
0 1 1
0 1 0
3 3 1
2 1 3
3 3 2
3 0 1
0 3 2
10 8
0 3 0
3 4 1
4 5 3
5 0 2
3 1 5
3 4 0
5 1 0
1 0 4
2 3 5
5 2 1
10 8
2 2 0
2 0 2
2 1 1
3 2 2
0 0 0
3 1 1
2 3 3
1 1 3
2 1 2
2 1 0
10 5
3 2 3
2 1 3
3 0 2
2 3 2
1 2 2
1 0 0
0 1 1
2 3 3
0 1 3
0 0 3
10 4
4 0 2
3 4 2
4 4 0
1 3 3
1 0 3
1 4 1
1 3 1
2 1 0
2 1 1
1 2 4
10 9
1 0 2
0 0 4
1 2 3
1 2 4
2 0 4
1 4 1
0 4 2
1 3 3
0 1 0
1 0 3
10 8
3 1 2
1 1 2
1 3 0
0 1 2
2 4 4
4 1 2
4 1 1
2 0 1
2 3 2
2 4 0
10 8
2 2 2
1 3 2
1 2 0
0 2 1
0 2 0
1 0 3
3 1 2
2 2 3
2 0 0
1 3 1
10 9
0 4 3
3 0 0
2 4 1
0 0 4
3 3 3
2 1 3
4 4 1
3 4 0
1 2 3
2 2 1
10 9
1 3 4
3 0 3
4 2 3
3 2 0
4 4 0
2 2 2
3 0 0
4 4 2
0 1 2
2 4 0
10 2
0 0 2
1 2 2
2 0 2
2 1 0
1 0 0
1 1 1
0 2 0
2 2 1
0 1 2
2 1 1
10 3
3 1 1
0 0 3
0 3 2
0 3 0
2 0 1
1 2 0
2 2 0
2 3 2
0 0 1
1 1 2
10 6
3 3 3
2 0 2
2 1 3
0 1 1
3 3 1
0 3 0
2 1 2
1 1 0
3 0 0
0 2 0
10 5
4 3 1
1 4 4
1 0 1
5 5 5
3 2 3
3 4 1
0 2 1
0 0 5
5 0 0
3 0 3
10 9
1 1 2
0 3 0
1 1 3
2 2 0
1 1 0
1 0 0
0 2 3
2 1 1
0 3 3
3 2 1
10 7
3 2 2
3 3 2
3 3 0
2 2 3
1 3 1
0 3 3
0 1 3
0 2 1
2 1 3
1 3 0
10 5
1 0 1
0 2 2
0 0 0
1 2 1
2 2 2
1 2 0
1 1 0
2 0 2
0 2 1
0 1 0
10 8
1 2 1
1 0 1
0 3 1
1 1 1
3 3 0
2 3 1
0 0 1
2 2 2
2 1 1
0 3 2
10 5
2 0 0
1 1 0
1 2 2
2 0 2
0 0 2
1 0 1
0 1 1
1 0 2
1 0 0
2 2 1
10 3
2 4 2
4 5 4
0 2 1
1 3 3
2 0 3
3 2 3
2 0 0
3 3 1
3 1 2
0 4 5
10 4
3 0 1
4 0 1
3 1 5
3 3 1
4 5 3
2 0 3
0 1 0
5 0 2
3 4 1
4 4 0
10 7
3 0 0
2 0 0
2 2 3
1 3 0
2 3 2
1 0 3
3 2 0
1 0 1
3 3 2
3 1 0
10 5
0 1 2
0 0 1
0 1 1
0 2 1
2 2 0
1 2 2
1 1 1
2 0 0
1 0 2
1 2 1
10 4
0 0 2
4 0 4
2 4 1
4 4 3
3 3 0
4 0 3
1 2 2
0 1 1
3 4 2
3 2 3
10 6
2 3 3
1 4 3
4 1 1
1 0 0
3 4 0
1 2 1
3 3 1
1 3 3
4 1 3
2 0 3
10 3
4 4 3
0 2 5
2 4 0
0 5 2
4 3 0
3 1 3
4 0 3
1 0 3
1 5 2
4 1 1
10 7
3 2 0
2 0 4
4 2 1
4 4 3
4 2 3
0 0 4
0 4 3
2 4 4
2 2 0
1 3 1
10 4
0 0 2
2 0 2
0 1 2
0 2 0
0 1 1
2 2 2
2 2 0
2 1 0
2 1 1
1 0 1
10 8
3 1 0
3 0 1
2 1 1
3 3 0
2 2 0
2 3 3
3 1 1
1 0 2
2 3 2
3 1 2
10 3
0 1 1
1 1 1
0 2 0
2 2 2
0 0 2
1 0 2
2 0 2
0 1 2
1 1 0
2 1 2
10 7
5 3 1
0 2 0
1 4 5
2 4 0
5 4 3
1 0 2
2 4 2
5 1 5
5 5 5
1 1 2
10 9
3 1 3
0 0 3
2 4 2
1 0 2
3 4 0
2 3 1
1 2 3
3 0 3
3 0 2
2 0 0
10 4
1 2 2
3 0 5
1 5 3
0 1 2
0 2 3
3 5 0
1 0 5
2 2 3
5 4 3
3 1 0
10 8
3 2 4
0 4 2
4 3 2
2 1 4
3 4 1
2 3 3
2 1 3
3 1 1
2 2 3
2 0 0
10 7
0 1 4
3 3 4
0 2 1
4 2 1
0 3 4
0 1 3
4 4 1
1 0 3
3 4 2
1 2 0
10 4
4 2 3
0 1 2
5 2 3
0 2 1
1 2 5
2 4 5
5 3 2
5 0 2
2 1 5
1 0 0
10 8
1 3 0
0 4 1
3 0 5
4 0 0
1 2 0
3 1 4
1 0 2
5 1 4
5 4 2
4 3 0
10 6
1 1 2
2 0 3
0 2 3
0 4 2
0 2 2
2 1 0
1 1 3
4 4 1
4 4 2
0 0 2
10 4
0 1 1
0 0 0
0 2 0
0 0 1
1 1 0
2 1 2
0 1 0
2 0 2
1 2 1
2 2 1
10 2
1 5 5
0 5 5
3 1 0
5 1 0
5 1 5
2 5 5
5 1 1
3 2 3
5 2 1
0 0 4
10 6
1 1 4
3 0 4
1 4 2
2 0 2
0 0 1
1 0 4
3 4 0
1 1 1
5 5 2
5 1 0
10 5
2 1 3
1 2 3
2 3 2
1 3 4
2 4 0
4 1 0
4 4 3
3 2 4
3 4 0
0 0 4
10 9
3 1 3
1 2 0
2 2 0
1 0 0
0 2 1
0 1 0
2 3 0
2 2 2
0 3 2
0 0 0
10 8
5 3 5
5 0 5
2 3 2
0 0 5
1 3 4
2 4 4
1 0 1
2 3 3
0 2 4
5 4 0
10 7
2 2 1
1 1 0
2 0 1
2 2 0
0 1 2
1 2 1
2 0 2
2 0 0
2 1 2
2 1 0
10 7
1 1 1
3 2 4
4 3 3
3 5 2
3 4 4
4 5 0
3 2 2
0 4 0
4 1 2
3 5 1
10 3
0 4 5
1 3 0
2 2 1
1 3 2
5 3 0
2 5 1
2 1 2
3 3 3
2 0 4
1 0 4
10 9
3 2 5
2 0 3
2 3 0
3 0 1
4 3 3
2 4 3
3 2 0
5 4 4
0 4 1
4 3 4
10 2
3 1 0
0 0 0
3 0 1
1 1 1
3 0 0
0 3 1
2 3 0
0 1 0
3 2 0
3 3 2
10 4
3 3 4
2 3 1
3 2 2
0 1 5
2 1 5
5 5 3
2 4 2
0 4 4
3 0 4
5 5 5
10 3
1 1 0
0 2 0
2 2 0
0 1 1
2 0 2
2 2 2
1 0 0
0 1 0
1 0 2
2 2 1
10 6
1 0 0
3 1 2
3 2 3
3 2 0
2 2 3
3 3 0
0 1 3
1 2 1
2 1 3
0 2 0
10 2
0 1 0
1 2 1
1 0 0
2 0 2
2 2 2
2 1 1
1 2 2
2 2 1
0 0 2
2 1 0
10 6
2 1 2
2 4 1
0 2 0
4 3 1
3 4 4
0 3 3
2 3 0
3 1 1
1 0 3
3 2 0
10 4
3 3 3
1 0 1
3 2 2
3 2 1
0 0 2
2 1 1
3 0 3
0 3 3
0 0 1
0 1 2
10 5
2 3 2
4 3 1
1 1 1
1 2 2
3 3 0
4 0 0
0 2 4
2 1 3
1 3 3
1 0 3
10 9
0 2 1
3 0 1
0 5 2
1 5 2
4 4 5
4 1 2
0 3 1
0 2 5
4 5 4
3 1 2
10 4
0 2 1
1 0 1
2 0 0
1 2 1
2 1 0
0 0 0
2 0 2
0 1 2
0 1 1
0 2 0
10 5
1 3 0
4 1 0
0 3 1
4 0 1
0 2 0
3 3 3
3 2 1
3 2 0
3 3 2
4 3 0
10 6
2 1 2
1 2 2
2 1 1
0 1 2
0 2 0
0 1 0
1 2 0
1 0 2
2 1 0
1 1 0
10 3
5 2 5
4 1 5
2 1 3
0 3 2
0 5 5
2 4 2
0 3 5
2 5 5
2 2 1
2 5 2
10 3
1 2 0
0 0 1
1 0 1
2 0 1
2 2 1
2 0 2
0 2 2
1 0 2
1 2 2
2 2 2
10 5
2 2 1
2 2 2
0 2 1
1 2 2
0 1 2
1 2 1
0 0 0
1 2 0
1 0 1
0 0 2
10 9
1 3 3
0 2 2
0 2 3
1 0 2
4 4 0
0 1 2
1 4 0
2 4 1
0 4 2
4 2 2
10 7
2 1 3
2 1 1
3 1 3
5 3 0
4 5 4
4 2 5
0 1 5
0 3 5
5 5 3
2 0 0
10 8
5 3 4
2 4 2
5 5 2
5 1 5
2 5 1
1 1 1
5 2 1
2 1 3
5 1 4
3 2 3
10 6
2 1 0
1 0 0
1 1 0
0 2 2
2 2 2
0 0 2
2 0 0
2 2 0
2 1 1
1 2 0
10 7
4 3 1
2 0 4
1 2 3
4 0 4
4 3 2
3 2 0
1 0 0
3 1 0
5 2 4
1 0 3
10 5
1 2 2
0 0 1
0 0 2
1 1 0
1 0 2
0 1 1
1 2 0
1 0 0
2 1 1
2 1 0
10 7
2 4 0
5 4 4
1 2 5
1 1 2
3 0 5
4 2 2
2 4 2
0 2 4
0 5 4
3 0 1
10 6
2 3 4
0 1 3
3 4 4
4 4 4
1 0 2
1 1 3
4 3 3
0 1 1
4 0 4
4 2 0
10 2
0 1 1
1 2 0
1 2 2
0 0 0
1 0 2
1 1 0
1 1 1
1 0 1
0 2 1
0 2 0
10 9
1 0 1
3 0 1
2 1 1
0 3 3
3 2 1
3 3 2
1 0 2
0 3 2
2 0 1
2 3 2
10 2
2 0 4
0 1 4
0 3 3
0 4 1
3 0 0
3 4 4
4 0 1
1 4 3
0 1 1
2 2 1
10 2
4 0 2
3 1 0
1 0 2
4 3 2
2 0 4
0 2 1
4 1 3
0 4 2
1 4 0
0 2 4
10 8
3 4 4
3 4 0
5 2 5
1 5 2
1 4 3
0 1 1
2 3 4
3 5 5
3 3 3
0 1 0
10 8
1 0 0
4 1 1
0 4 0
0 3 2
3 3 2
3 0 0
1 4 3
0 5 0
0 1 0
3 0 5
10 2
2 0 3
3 2 2
1 3 2
2 0 2
0 3 2
2 3 3
1 0 1
0 2 1
0 3 1
2 1 1
10 7
4 4 3
3 0 4
2 5 0
2 1 2
0 0 3
0 1 3
1 3 4
3 2 5
5 3 1
3 0 0
10 3
0 5 2
0 0 0
1 2 1
4 3 1
3 4 1
0 4 2
2 2 0
4 2 4
2 4 1
1 2 3
10 6
1 0 0
0 2 2
0 3 0
0 1 0
1 3 0
2 1 0
3 1 1
2 2 0
1 0 2
0 2 3
10 9
1 1 0
1 1 1
2 3 2
2 3 1
3 2 2
1 0 3
3 1 2
2 3 0
0 0 0
2 0 3
10 7
0 0 0
2 1 1
0 0 2
2 2 1
0 1 0
0 2 2
1 0 0
0 0 1
1 1 0
2 0 2
10 5
0 1 2
2 1 0
1 2 2
2 2 2
1 0 0
1 1 1
0 0 0
1 1 2
0 1 1
0 0 2
10 5
1 1 2
2 1 0
1 0 0
1 0 2
2 0 2
0 0 1
0 1 0
0 2 0
2 2 1
0 0 0
10 2
0 0 4
1 3 4
0 3 1
0 2 2
3 3 0
1 0 2
3 4 2
2 4 2
0 4 3
0 4 0
10 9
0 1 0
1 0 0
0 0 0
0 0 1
1 1 0
0 1 1
2 1 1
0 2 0
1 2 1
2 2 0
10 3
0 4 4
3 0 2
2 3 3
3 2 2
2 4 4
0 1 0
3 4 3
4 2 0
4 0 1
4 3 4
10 8
3 1 1
3 2 1
0 2 3
1 1 2
3 1 3
3 0 0
0 3 2
2 1 3
0 1 1
0 2 0
10 3
0 3 2
2 2 3
3 2 1
2 0 2
0 2 2
2 2 1
3 3 1
1 0 1
1 2 1
2 0 3
10 3
2 0 1
2 2 1
2 1 2
1 2 0
1 2 2
1 1 1
1 2 1
1 1 2
0 1 1
0 0 0
10 5
0 1 2
0 0 1
1 1 2
1 0 2
0 2 2
2 0 0
2 2 2
1 2 0
0 1 1
2 0 1
10 8
1 1 1
1 0 0
0 0 2
2 0 1
0 1 2
1 1 0
0 2 2
1 2 2
2 2 1
2 1 1
10 5
0 2 2
2 0 1
2 0 2
1 2 0
2 1 1
2 2 0
2 0 0
1 1 1
0 0 0
1 2 1
10 5
0 3 3
0 2 3
3 3 3
2 3 1
3 1 1
2 0 3
3 2 3
0 3 0
0 0 2
3 0 0
10 9
2 2 0
3 5 4
4 3 5
5 0 2
1 1 2
5 0 5
5 0 1
1 3 0
2 3 1
4 0 2
10 3
2 1 4
5 3 3
2 3 5
2 0 5
5 3 5
1 4 4
1 2 0
2 3 4
4 4 3
0 5 0
10 5
1 1 1
2 0 0
2 0 1
1 1 2
0 0 1
2 2 2
1 2 0
2 2 1
0 1 2
1 0 0
10 2
1 2 0
2 0 0
2 0 1
1 0 2
0 0 2
2 0 2
0 2 2
1 0 0
2 2 1
1 2 1
10 7
2 1 1
2 2 1
2 2 0
0 3 1
3 2 0
1 0 1
1 0 2
2 3 3
3 3 1
0 2 1
10 8
3 3 4
1 5 0
5 4 0
5 2 3
3 4 5
0 0 3
3 1 4
0 4 5
5 4 2
4 5 5
10 3
3 0 1
2 0 1
2 0 2
1 2 1
0 1 1
3 1 0
2 1 3
1 0 2
3 2 2
2 1 2
10 9
0 1 5
3 2 1
4 5 0
2 5 1
1 2 0
3 4 4
3 4 2
2 0 4
2 2 1
0 3 0
10 9
4 2 1
1 0 5
3 2 2
2 4 4
3 3 4
1 2 2
5 0 0
5 2 4
5 3 3
2 0 5
10 3
0 0 2
0 3 1
3 3 1
0 1 2
0 0 3
0 2 0
1 0 0
1 2 1
0 0 1
2 1 3
10 2
0 3 0
1 3 1
3 0 3
3 3 3
0 2 0
1 1 1
3 2 1
2 1 1
3 1 2
0 2 2
10 8
2 1 1
1 2 1
2 1 3
0 1 3
0 0 0
2 2 0
2 2 3
1 0 1
3 0 3
3 2 3
10 9
4 5 3
0 4 3
2 4 3
5 0 3
4 0 1
0 4 5
1 2 5
4 0 0
5 5 2
5 4 3
10 9
1 0 2
0 1 0
1 1 0
1 0 0
1 2 0
2 0 0
2 0 2
1 2 2
2 2 1
2 2 0
10 8
0 1 2
1 1 1
1 0 2
1 2 2
2 1 2
2 0 0
2 1 1
1 0 0
0 2 2
2 0 2
10 2
0 3 1
1 5 4
2 1 0
5 5 2
2 3 5
1 4 1
3 3 1
4 0 0
0 0 5
4 2 4
10 7
0 0 0
1 2 0
2 0 2
2 0 1
1 0 1
2 0 0
1 0 2
1 1 1
2 2 1
1 2 2
10 3
2 2 0
0 1 2
2 0 2
0 1 1
0 2 0
2 1 1
0 0 2
1 2 1
0 0 0
2 0 0
10 8
2 0 1
1 1 2
1 2 2
1 1 1
0 2 1
0 0 0
0 1 2
0 1 1
1 0 0
1 1 0
10 4
2 2 2
0 1 2
1 0 1
0 2 1
0 0 0
0 2 0
1 2 1
1 2 0
0 0 2
2 0 2
10 5
3 4 2
3 1 0
4 0 3
0 0 2
3 2 4
4 4 0
4 1 1
1 0 1
1 2 1
1 1 0
10 2
1 2 2
1 1 2
2 0 0
2 2 1
2 0 2
0 0 2
2 1 0
1 1 0
1 0 2
0 1 2
10 6
3 4 1
4 2 4
4 3 4
2 0 1
5 5 3
3 5 1
1 3 4
2 4 0
2 1 3
3 3 0
10 9
0 3 1
1 5 0
3 2 4
2 3 1
5 0 2
5 2 5
3 3 3
0 5 4
3 0 4
2 0 2
10 5
4 0 4
2 2 4
4 2 3
4 4 2
4 3 4
2 0 0
3 4 0
2 1 2
1 3 0
0 3 2
10 6
3 2 3
0 4 4
1 2 3
0 4 0
2 3 5
1 0 5
3 2 2
5 5 2
1 5 4
0 2 1
10 5
4 0 2
1 3 3
0 1 4
2 2 2
4 2 1
0 3 4
3 2 1
3 1 2
2 0 3
3 3 0
10 8
1 0 4
5 4 1
5 2 3
0 3 2
0 2 2
5 0 4
3 1 5
3 2 2
4 0 2
4 2 3
10 8
2 1 4
2 2 5
5 1 3
0 5 3
0 3 0
1 1 0
1 1 3
0 4 5
1 1 1
4 0 5
10 7
3 0 3
3 1 3
4 1 0
4 2 2
4 2 0
3 2 0
0 1 2
4 1 4
2 4 1
0 2 4
10 3
5 5 3
5 4 2
2 3 5
4 4 0
3 1 3
3 3 1
2 5 4
0 0 5
2 3 2
2 2 1
10 5
4 0 2
1 2 1
1 1 0
3 3 1
3 1 0
4 1 1
3 2 3
0 3 2
2 4 1
2 1 4
10 8
2 2 1
0 1 2
0 0 2
1 0 0
0 2 1
1 1 1
2 2 0
1 0 1
2 0 1
2 1 2
10 9
2 0 2
3 5 0
0 5 5
4 2 4
0 3 3
2 3 0
0 1 3
4 4 4
0 4 3
3 4 1
10 8
2 2 1
1 1 2
0 0 0
2 1 0
2 2 2
0 2 1
2 1 1
2 1 2
2 0 0
1 0 1
10 2
3 2 2
0 0 3
2 3 2
2 1 1
2 3 3
3 0 0
2 3 0
0 0 2
2 0 3
2 1 0
10 6
2 0 1
3 0 1
0 3 1
2 2 2
1 2 0
1 2 1
3 2 1
2 0 3
1 1 0
0 2 1
10 9
0 2 0
2 0 1
1 0 2
2 0 0
0 0 1
2 1 1
0 2 2
0 2 1
0 1 2
1 0 0
10 4
1 3 0
3 1 1
2 3 2
0 5 3
1 5 3
1 3 1
0 3 3
2 0 4
2 0 0
1 0 4
10 5
3 3 2
2 0 4
2 0 2
5 4 1
4 2 1
3 4 0
2 2 0
0 3 3
0 2 4
4 3 3
10 7
1 1 3
1 1 1
2 2 2
3 3 1
3 1 3
2 2 0
0 2 2
2 1 0
0 1 3
1 3 2
10 3
3 3 1
3 0 1
2 0 2
2 2 3
3 3 3
1 2 0
2 0 3
3 2 2
3 0 3
2 1 3
10 7
1 1 2
0 0 2
2 0 1
2 0 0
0 2 1
0 2 2
1 0 2
1 0 0
0 1 2
2 1 1
10 7
0 2 0
2 2 2
2 0 2
2 2 1
0 1 1
0 0 0
0 1 2
1 0 1
1 2 0
2 0 1
10 9
1 2 1
2 2 0
0 2 2
0 0 0
1 1 1
0 0 2
2 2 1
2 1 2
1 0 1
1 2 2
10 4
5 4 1
0 0 5
0 0 3
3 2 4
0 0 2
3 4 1
4 3 5
4 4 1
0 3 0
2 0 1
10 2
0 4 4
2 4 4
1 1 0
1 1 2
0 4 0
2 3 3
3 4 3
3 2 4
2 4 3
1 0 4
10 9
2 0 1
1 3 0
3 2 1
2 2 0
2 3 0
2 3 1
1 1 3
2 2 1
3 1 3
3 2 3
10 6
1 4 0
1 2 4
2 1 3
4 1 3
3 0 2
2 4 2
1 4 1
1 3 4
2 3 3
3 0 0
10 7
3 4 0
0 2 2
4 2 0
2 2 3
1 3 3
4 2 2
4 4 0
1 2 3
1 4 1
3 3 3
10 3
2 1 1
2 0 2
0 1 2
1 1 0
0 2 1
0 0 0
0 1 1
0 2 2
1 0 2
2 1 0
10 2
3 4 3
1 1 1
2 1 3
1 2 4
0 1 4
3 3 1
3 4 4
2 1 2
0 3 2
1 2 1
10 6
1 1 2
2 1 0
1 2 2
0 0 1
0 1 2
0 0 0
2 2 2
2 0 2
1 0 2
2 0 0
10 6
2 1 2
0 1 0
2 0 1
3 3 1
0 0 1
1 0 0
1 2 2
3 0 0
2 2 0
2 1 3
10 2
1 3 2
1 0 0
0 5 0
2 3 0
4 4 4
4 2 3
0 2 3
1 2 2
0 1 5
0 1 1
10 2
3 0 3
0 3 3
2 1 3
0 1 3
1 1 2
2 1 0
3 2 2
3 2 1
2 2 2
2 2 3
10 9
1 4 0
0 0 3
2 2 1
3 0 3
1 2 1
3 2 2
4 1 2
2 4 3
1 3 4
3 3 2
10 8
0 1 2
0 1 0
0 2 1
1 2 1
1 1 0
1 1 1
2 2 0
0 2 2
1 0 1
2 1 2
10 7
3 0 4
5 4 2
0 3 1
3 1 2
5 2 1
2 1 0
3 4 1
2 5 3
2 2 2
3 4 4
10 2
5 4 2
2 1 3
4 4 5
2 2 0
5 1 0
0 3 2
3 0 1
2 4 3
3 1 1
4 3 2
10 7
3 3 1
3 2 2
3 3 3
2 3 2
0 2 2
0 2 0
1 1 3
0 1 1
1 1 0
1 0 3
10 9
5 0 4
3 3 0
0 0 1
5 3 2
3 4 4
4 2 3
0 1 1
3 1 0
2 2 3
2 0 2
10 8
2 4 3
1 0 4
3 3 1
0 2 0
3 2 4
1 3 2
0 3 1
3 2 0
1 2 0
1 2 1
10 9
4 0 0
2 0 3
1 3 4
2 3 0
5 3 4
0 4 4
1 5 1
4 4 1
1 1 5
4 3 4
10 8
0 1 0
1 2 1
1 0 0
1 2 2
2 0 2
1 1 2
2 0 0
0 0 2
2 2 2
1 1 1
10 5
1 3 3
0 0 3
0 2 3
3 1 0
0 0 0
0 1 1
1 2 3
1 3 1
3 1 2
2 0 0
10 7
2 1 1
0 2 2
0 0 0
1 2 1
2 0 2
1 0 2
1 1 2
0 2 1
0 1 1
0 1 0
10 9
3 2 1
2 2 2
0 3 1
0 2 0
0 0 1
0 1 3
3 1 1
3 3 2
1 3 1
2 1 1
10 7
0 1 2
2 2 1
1 1 2
2 0 2
0 2 2
2 0 1
1 0 1
2 1 1
1 0 2
2 0 0
10 3
1 1 0
2 0 0
1 1 1
2 2 0
0 2 0
1 2 1
1 0 0
2 2 1
0 1 0
2 1 1
10 6
1 2 0
2 0 1
2 2 2
2 1 1
1 0 2
0 0 1
0 1 3
0 1 2
3 1 3
1 2 2
10 6
2 2 3
3 2 2
3 1 3
0 1 3
3 0 1
0 0 0
2 2 1
1 0 1
1 3 0
2 1 2
10 3
0 0 0
2 1 1
0 2 1
2 2 1
0 2 2
1 1 2
1 2 2
2 1 2
1 0 1
0 1 1
10 4
4 0 1
4 4 3
2 4 2
4 0 3
2 5 0
5 3 4
4 4 1
1 1 3
3 3 1
5 2 4
10 2
5 4 4
4 1 0
2 1 4
5 3 1
2 3 5
4 2 0
5 3 2
0 0 0
3 3 1
2 5 3
10 2
0 2 3
4 3 3
1 3 1
2 3 5
3 2 4
0 3 2
5 2 5
2 1 5
2 1 0
2 1 1
10 2
2 2 0
1 2 0
0 1 1
2 1 0
0 2 2
1 0 2
2 2 1
0 0 0
2 2 2
0 2 0
10 4
2 4 4
2 2 4
3 0 0
0 5 5
4 4 5
5 5 4
1 0 4
4 4 1
5 4 0
0 4 0
10 2
0 1 0
2 1 2
0 1 2
0 1 1
1 0 0
2 0 0
2 2 0
1 2 1
2 0 2
2 2 1
10 3
0 2 3
4 2 4
0 4 0
4 2 0
5 0 3
3 5 0
2 1 0
4 4 4
0 0 4
0 2 1
10 9
2 1 0
0 1 2
0 0 2
1 1 0
2 1 1
1 1 2
0 0 0
0 2 2
2 0 2
1 2 2
10 5
4 0 2
4 1 3
0 2 0
4 1 1
2 2 1
4 0 1
1 0 1
0 4 4
0 2 2
1 0 3
10 8
4 1 4
2 1 2
2 4 3
1 1 3
0 3 2
1 2 4
0 2 1
0 4 4
1 3 1
1 0 3
10 3
0 0 0
1 3 3
1 2 1
0 2 3
1 0 3
3 1 2
1 1 2
0 1 0
2 0 3
3 0 3
10 5
2 1 3
3 2 4
2 0 4
0 2 2
4 0 3
2 3 0
4 2 2
3 2 2
3 1 0
2 3 4
10 6
2 2 0
1 0 2
2 1 2
0 0 0
2 2 2
1 2 2
2 1 0
0 1 2
2 0 0
0 0 2
10 6
1 2 3
2 3 3
4 3 3
4 0 0
4 4 4
3 3 2
2 0 2
3 2 1
4 0 2
2 2 4
10 2
0 4 5
3 0 0
0 3 1
1 1 0
0 2 3
5 1 3
1 5 3
2 3 3
5 3 4
0 2 1
10 7
5 2 4
3 0 5
2 3 0
3 5 5
5 1 0
2 4 0
4 1 2
3 1 3
5 4 1
1 3 3
10 2
2 0 1
0 2 4
1 0 2
4 3 5
4 2 0
5 4 4
1 3 0
1 3 1
3 2 0
4 2 3
10 5
5 4 0
3 1 0
3 4 2
2 5 1
5 2 2
5 1 1
4 3 3
1 4 3
1 5 1
3 3 1
10 8
3 0 0
1 2 3
0 2 3
0 2 0
3 2 3
3 0 3
3 1 1
0 3 0
1 2 1
0 0 2
10 2
2 2 1
2 0 0
2 2 2
1 2 2
0 2 2
2 1 1
2 1 0
1 1 0
2 1 2
0 0 1
10 8
2 0 3
2 1 3
2 2 3
4 3 1
1 4 1
3 2 3
0 3 2
0 1 0
1 1 0
3 4 0
10 8
2 4 1
0 1 4
4 3 1
2 2 3
0 0 0
2 0 0
3 1 0
3 2 2
3 2 0
0 3 3
10 3
1 1 2
4 2 3
2 4 3
5 0 0
5 1 1
3 1 5
2 2 3
0 4 5
3 3 4
3 2 1
10 8
1 3 2
0 2 2
3 0 0
2 3 0
2 0 2
1 0 1
3 1 1
1 3 3
1 2 3
1 3 0
10 5
1 1 3
2 3 2
2 1 0
2 2 1
0 3 0
1 2 3
0 1 1
1 3 3
3 1 2
1 3 1
10 2
0 5 5
4 3 5
1 2 3
5 5 0
0 0 1
1 0 0
3 3 3
1 5 2
4 3 3
5 3 5
10 2
2 3 4
1 2 4
5 3 3
1 0 5
2 3 2
1 4 1
3 4 5
3 4 0
5 5 4
2 4 2
10 4
1 1 0
2 2 2
3 2 2
1 0 3
2 2 0
0 0 1
1 3 2
1 3 1
1 1 2
3 0 3
10 8
1 3 2
2 0 1
1 2 2
1 1 1
0 1 2
1 2 0
2 3 3
2 2 2
0 2 2
2 1 0
10 3
2 2 3
1 2 4
4 4 1
3 2 2
1 3 3
1 0 2
3 2 4
3 4 0
1 3 1
0 3 1
10 5
4 0 4
2 0 1
4 2 4
5 3 5
2 5 1
1 4 5
3 5 0
2 3 1
1 5 5
3 1 4
10 3
2 0 2
0 0 2
2 1 0
2 0 1
1 2 2
1 1 1
1 2 0
0 2 1
0 1 2
2 0 0
10 3
4 3 2
0 4 4
1 4 4
2 2 3
3 4 2
2 1 0
4 3 0
3 2 2
2 0 1
1 2 1
10 9
0 1 0
0 1 5
1 2 1
3 3 1
5 0 0
0 1 1
3 2 4
3 2 2
3 4 2
5 0 4
10 5
0 2 2
3 1 3
4 3 1
3 1 1
3 4 4
4 0 0
0 2 3
4 1 0
3 0 3
4 1 3
10 2
1 2 1
0 0 2
0 1 0
0 0 1
1 2 2
0 1 1
1 2 0
2 1 1
1 0 0
1 0 2
10 3
2 2 0
1 1 0
2 0 2
2 0 1
1 2 2
0 0 1
0 0 0
2 2 1
0 1 0
1 0 1
10 5
3 0 5
2 3 4
3 5 5
5 1 1
0 2 2
3 1 0
4 1 1
3 3 5
3 5 4
1 0 3
10 7
2 2 1
1 2 2
1 1 0
2 2 0
2 0 0
1 0 0
1 2 1
0 0 2
0 1 1
0 0 0
10 2
1 0 2
0 0 0
1 1 2
2 0 1
2 1 0
2 1 1
0 2 2
2 2 0
1 2 1
0 1 1
10 5
0 2 0
1 0 2
3 3 1
3 3 2
2 1 2
3 2 1
2 0 3
1 4 1
0 4 3
0 2 4
10 4
0 1 2
1 0 1
0 0 1
0 2 1
0 2 2
2 0 1
2 2 1
2 2 2
0 1 0
0 2 0
10 6
2 2 4
4 1 1
2 0 4
3 0 1
0 1 4
3 0 2
3 3 4
4 3 0
2 2 3
0 4 0
10 7
4 2 3
1 1 2
3 1 1
4 4 3
1 0 0
1 1 3
0 2 0
1 4 4
1 3 0
3 2 0
10 7
1 0 0
2 1 0
1 1 0
2 2 0
1 2 2
1 0 2
2 0 0
2 0 1
1 2 1
0 1 2
10 4
0 3 1
2 0 0
4 0 1
3 2 3
4 3 2
1 2 4
2 3 0
3 1 0
3 3 4
2 1 0
10 8
2 2 2
2 0 2
1 2 0
1 3 1
0 1 3
1 2 3
1 1 2
1 3 3
2 3 1
2 0 1
10 4
4 2 0
0 3 2
3 3 4
2 2 3
1 0 1
0 3 3
0 4 0
0 0 1
3 4 1
2 4 3
10 7
0 0 2
1 2 3
1 3 2
2 2 3
0 1 0
0 3 0
3 0 1
2 1 2
2 3 2
3 2 1
10 4
2 1 2
0 0 1
2 1 1
1 1 2
3 0 3
0 3 0
2 1 0
3 1 2
1 2 0
1 2 2
10 2
3 2 2
2 2 1
2 2 4
3 1 3
2 0 4
3 1 1
0 3 2
3 3 2
3 4 0
4 3 4
10 2
2 3 0
0 2 2
1 4 3
0 3 2
0 2 0
3 4 0
2 2 3
2 3 2
4 1 3
1 0 4
10 8
2 4 1
1 5 2
3 3 4
2 4 3
2 4 0
5 1 0
5 4 0
0 5 4
2 0 1
4 0 4
10 8
0 2 1
3 3 1
2 1 0
1 0 3
1 1 3
2 1 3
3 2 0
1 1 2
0 1 3
2 3 3
10 3
4 1 4
4 4 0
2 0 1
3 4 3
4 3 3
0 3 1
2 4 1
0 2 1
3 2 0
0 2 3
10 6
1 1 3
1 0 2
0 5 5
1 3 4
3 5 0
3 3 5
5 5 5
2 1 4
1 0 1
0 3 5
10 2
3 2 0
3 4 5
1 4 4
5 1 4
0 5 5
0 4 0
5 2 4
4 2 0
0 0 4
1 0 0
10 9
1 3 3
5 1 2
1 0 3
1 4 3
0 3 1
0 1 0
5 0 2
2 0 1
3 5 0
2 0 5
10 5
3 2 4
3 1 1
3 1 2
0 2 3
1 2 0
4 3 0
2 4 3
4 3 2
4 2 3
0 2 2
10 5
5 1 4
2 0 2
3 5 4
1 5 1
4 0 0
5 0 1
4 2 5
2 0 3
2 1 4
0 1 5
10 8
0 1 0
2 1 2
0 1 1
1 2 2
1 0 2
2 0 0
1 1 1
0 2 2
1 2 0
1 0 0
10 8
1 0 0
2 2 0
2 2 1
0 0 2
0 1 1
1 0 2
0 0 0
1 1 0
2 0 2
2 1 1
10 9
4 2 2
2 3 2
1 5 4
1 0 4
1 2 5
1 2 0
4 4 4
4 1 4
2 4 4
4 0 2
10 6
3 1 2
3 0 0
1 2 3
0 2 3
1 3 3
1 2 2
2 0 1
3 2 0
1 1 3
3 0 3
10 3
3 3 5
1 4 2
3 3 2
0 0 1
4 5 2
5 0 1
5 5 2
4 4 1
5 0 2
0 2 5
10 9
0 4 3
4 0 1
1 1 3
1 4 4
5 5 0
1 1 1
3 3 1
1 3 4
3 1 0
0 0 5
10 2
2 3 1
1 0 3
3 1 2
1 1 0
2 1 3
0 1 0
3 3 2
1 1 2
1 1 3
3 0 1
10 3
0 2 2
0 1 0
0 1 1
2 0 2
2 0 0
1 0 2
2 1 1
0 0 1
1 2 1
1 0 1
10 3
2 1 1
2 0 0
0 1 0
1 0 1
2 1 2
1 0 2
1 0 0
0 1 2
0 2 0
1 1 0
10 2
2 0 3
0 2 3
2 3 2
0 0 2
2 1 0
0 0 1
1 0 0
2 2 2
3 2 1
3 3 1
10 2
1 2 2
1 3 4
0 0 4
4 1 4
4 2 3
3 4 4
4 3 1
0 3 1
4 3 4
3 1 1
10 5
2 0 2
2 2 1
0 2 2
0 1 2
0 0 2
1 2 1
2 0 1
1 0 0
0 0 0
2 1 0
10 5
1 2 3
3 1 3
0 0 4
2 2 2
4 2 2
4 1 4
4 0 2
0 1 1
4 4 2
2 4 2
10 6
0 4 3
2 0 2
2 1 0
2 0 1
3 3 1
0 4 1
2 3 0
0 3 3
2 2 1
3 2 3
10 6
0 3 1
2 2 3
3 3 0
3 0 1
0 3 0
3 3 2
1 2 3
3 1 1
2 1 1
0 0 0
10 4
1 0 1
2 1 0
0 0 0
2 2 0
0 0 2
2 0 0
1 0 2
1 1 0
0 1 0
2 0 1
10 2
0 2 0
0 1 0
3 1 3
2 1 3
1 2 1
2 2 0
3 3 3
0 1 3
0 3 2
1 1 0
10 3
0 0 1
4 3 3
3 4 4
2 3 3
4 0 0
3 4 2
2 1 3
0 2 3
3 1 4
4 4 3
10 8
2 2 0
2 0 3
1 2 2
3 2 1
0 1 3
1 0 1
1 2 3
3 1 3
1 3 3
1 0 3
10 9
2 0 1
3 3 0
2 2 0
1 3 0
2 1 1
3 3 3
2 2 1
3 2 1
3 1 0
1 1 1
10 3
3 0 3
3 0 0
0 3 2
4 0 4
2 0 3
0 4 0
3 2 2
4 4 2
2 0 0
3 3 4
10 3
2 3 1
4 2 0
1 3 3
4 0 2
0 4 0
1 2 4
4 1 4
3 2 3
0 2 1
2 2 3
10 4
2 4 4
2 0 0
1 1 3
3 0 3
4 1 2
0 1 4
1 0 4
0 2 2
4 0 4
2 3 0
10 8
5 4 1
4 1 5
2 5 2
4 0 3
0 2 4
5 2 3
5 2 5
5 0 1
4 4 4
4 3 0
10 6
1 3 3
2 0 3
0 3 0
2 1 3
3 3 1
0 3 3
2 3 0
1 3 0
1 3 2
2 3 1
10 3
0 0 3
3 2 3
0 2 4
4 1 2
1 1 2
1 0 3
2 3 3
2 1 4
0 1 3
4 4 1
10 6
1 5 2
1 1 2
2 4 2
1 4 2
2 3 1
1 4 3
5 2 0
0 5 5
3 5 0
2 3 5
10 9
3 0 4
4 4 1
1 3 1
0 0 0
0 4 2
2 3 3
3 0 2
3 1 3
4 2 1
3 2 2
10 8
2 0 2
3 0 0
1 0 0
2 2 2
3 0 1
2 2 0
0 1 3
3 1 3
3 3 2
0 0 0
10 8
4 3 2
2 0 0
0 1 1
2 2 3
0 3 4
3 3 0
0 4 3
4 1 2
3 1 4
1 4 2
10 9
1 2 2
3 0 3
2 2 1
1 1 2
2 0 0
1 1 3
0 2 3
2 0 3
3 2 3
3 3 0
10 9
1 2 2
0 2 2
1 1 0
2 0 2
0 0 2
2 1 2
1 1 1
2 2 2
0 1 0
0 0 0
10 6
0 0 0
1 2 1
2 0 1
1 0 1
0 0 1
0 2 2
2 2 1
2 1 0
2 2 2
0 2 1
10 8
0 2 2
0 1 2
2 1 0
1 0 2
2 2 2
2 1 2
0 0 0
1 0 0
0 2 1
0 1 0
10 8
2 4 4
2 3 1
0 2 2
0 0 4
1 2 4
1 4 4
4 3 3
2 4 2
3 2 3
1 1 0
10 9
1 0 2
1 2 2
2 2 0
0 1 1
1 0 0
1 1 0
2 2 2
0 0 0
2 0 2
2 0 1
10 5
0 1 1
2 3 3
4 3 1
3 0 2
1 0 1
0 2 2
0 4 1
3 4 1
3 0 0
0 0 2
10 9
1 4 4
3 3 4
4 1 2
0 3 3
1 4 1
4 4 4
1 2 1
0 4 2
4 3 2
0 3 4
10 6
2 0 1
1 2 2
2 0 2
1 1 0
0 1 1
1 2 1
2 1 1
1 0 1
0 1 2
0 0 2
10 4
3 0 2
0 2 4
3 2 3
2 0 1
4 1 2
3 2 0
1 1 3
2 4 4
0 2 2
3 4 1
10 3
0 1 3
1 2 1
1 1 0
0 3 3
1 1 1
3 3 1
3 0 1
2 3 1
3 1 1
2 1 1
10 8
4 4 4
1 0 1
4 0 4
4 2 0
4 0 2
4 0 1
1 1 0
1 4 3
3 3 4
0 1 0
10 5
0 3 0
2 1 2
3 1 2
3 0 2
2 0 0
0 1 0
2 1 0
0 1 3
1 2 0
1 3 3
10 4
3 1 1
0 3 1
2 4 0
2 3 4
3 4 0
2 2 2
0 1 1
2 2 1
4 4 3
0 3 3
10 4
1 1 0
2 2 2
1 5 3
1 5 5
5 0 4
5 4 0
3 0 1
0 0 2
5 5 3
2 0 4
10 2
5 2 2
2 3 4
5 3 1
4 1 0
4 2 5
0 1 2
3 2 5
4 1 2
1 1 1
0 1 0
10 6
2 0 2
3 1 4
2 0 1
3 4 3
3 2 2
1 1 4
0 1 2
4 3 2
4 3 4
1 4 1
10 4
2 0 1
1 3 0
2 1 0
3 0 0
3 0 2
1 2 0
1 2 2
1 1 2
1 1 0
3 2 2
10 5
2 0 2
4 4 1
0 0 0
3 0 3
3 3 0
2 2 3
0 3 1
0 3 3
3 1 0
4 0 3
10 2
5 3 2
4 1 2
1 4 4
2 1 3
5 3 4
5 2 4
5 1 2
4 3 1
4 4 1
1 3 0
10 3
4 1 4
1 2 2
3 2 4
3 3 1
0 3 0
2 3 1
4 3 2
1 0 2
1 3 1
1 2 4
10 6
1 3 2
3 1 3
3 2 0
3 3 2
2 1 3
1 2 1
3 3 1
1 3 1
2 0 2
1 3 3
10 7
0 0 0
3 4 2
2 4 3
0 1 2
2 0 2
1 0 3
3 1 3
3 2 4
1 3 3
0 0 1
10 7
1 1 1
0 2 0
2 2 0
1 1 2
0 2 1
0 0 0
0 1 0
2 0 0
2 0 2
1 2 0
10 7
3 1 1
0 3 1
2 1 3
0 1 2
3 3 0
0 3 3
1 1 1
2 3 3
1 2 0
2 0 1
10 3
2 2 0
0 0 3
3 3 1
0 3 1
3 1 1
2 0 0
1 3 2
2 3 1
0 3 0
1 3 0
10 3
1 2 3
0 3 2
3 3 1
2 1 0
0 2 0
1 0 1
2 3 1
3 0 1
3 2 1
1 0 2
10 3
2 0 1
0 0 2
0 1 3
2 2 2
2 0 3
0 0 0
0 3 0
2 1 1
0 3 2
3 3 1
10 3
1 0 3
2 1 0
1 2 0
0 2 1
2 0 3
0 3 2
1 3 1
3 0 0
0 3 3
3 2 0
10 8
4 1 1
0 3 2
1 2 0
0 3 3
2 0 1
5 0 4
3 5 3
4 2 2
5 4 3
5 3 0
10 7
1 3 3
3 2 3
2 3 2
0 2 2
1 2 0
1 1 3
3 2 1
0 3 1
0 3 2
3 1 2
10 2
1 0 2
2 1 0
2 1 2
1 1 0
0 2 2
1 0 1
0 1 1
0 1 2
2 1 1
1 1 2
10 8
4 1 2
0 1 2
1 4 2
2 2 4
4 2 1
3 0 4
3 4 1
2 4 3
4 2 4
0 3 2
10 4
0 4 2
0 2 3
1 3 3
2 0 4
2 0 0
4 1 0
3 4 4
4 0 4
4 2 0
4 0 2
10 9
0 0 0
1 1 0
0 0 1
1 2 0
2 0 0
2 2 1
2 1 1
1 0 2
0 1 2
1 2 2
10 2
2 1 2
5 2 3
3 0 1
2 0 3
0 2 1
0 3 1
1 4 4
5 4 0
5 1 1
5 2 2
10 9
1 2 0
2 0 2
2 3 1
2 1 3
0 2 0
0 1 3
3 0 1
2 2 3
1 3 2
3 2 1
10 8
2 5 1
0 0 5
5 2 2
4 3 2
2 0 1
2 3 0
2 4 5
1 2 1
5 3 0
1 0 3
10 9
1 1 2
2 1 2
2 0 3
0 3 3
1 2 2
2 3 3
2 0 0
3 2 1
2 1 3
1 2 4
10 7
1 2 1
1 0 2
1 2 0
2 1 1
2 2 0
0 2 0
2 0 0
1 2 2
0 1 1
0 2 1
10 6
4 1 3
2 4 2
1 0 1
3 3 1
3 2 0
0 3 2
2 1 4
3 1 0
3 3 2
3 1 1
10 9
2 2 3
2 2 0
0 2 0
0 3 2
2 0 3
3 1 3
2 0 2
0 1 1
1 2 1
1 1 2
10 8
0 2 2
2 2 2
1 2 1
0 2 1
0 2 0
1 0 0
0 0 0
1 0 1
0 0 2
1 1 2
10 7
2 1 1
0 1 1
1 0 1
0 2 2
0 0 2
0 0 0
2 0 0
0 0 1
2 1 0
2 2 2
10 6
5 2 4
3 1 2
3 0 3
0 0 3
3 4 0
4 1 0
4 5 5
3 2 3
0 0 4
0 2 2
10 5
0 1 3
1 1 0
3 1 0
3 0 1
0 2 1
1 3 1
3 2 2
2 1 3
0 1 2
1 0 0
10 2
0 0 0
0 2 2
1 2 2
0 0 2
0 2 1
1 1 1
1 0 0
2 2 2
0 2 0
0 0 1
10 6
1 3 3
3 2 2
2 1 0
1 2 1
2 0 0
0 1 3
1 3 2
3 0 0
1 2 2
1 0 3
10 7
1 3 0
3 1 2
0 2 0
2 2 2
3 3 0
0 1 1
3 2 2
3 2 0
2 1 2
3 1 1
10 9
1 1 2
0 1 1
0 2 2
0 1 2
0 1 0
2 1 1
1 0 2
0 2 0
1 2 1
1 1 1
10 5
3 3 1
1 1 2
2 0 0
5 0 1
4 1 5
5 5 4
2 0 2
4 1 4
0 5 3
0 0 3
10 4
1 2 0
0 2 1
2 0 1
0 0 1
0 0 2
2 1 0
2 2 2
1 1 2
2 2 0
2 1 1
10 6
2 2 5
3 0 4
5 3 3
0 2 2
5 0 3
4 5 3
4 4 5
3 5 0
4 5 2
5 4 1
10 7
1 0 2
1 1 1
2 0 1
0 2 2
1 2 2
1 0 1
0 1 0
2 0 0
1 1 2
2 1 2
10 3
2 0 2
4 3 4
5 0 1
1 2 2
3 5 2
5 3 1
5 4 1
1 4 3
2 5 1
3 2 5
10 9
0 1 2
3 0 3
0 3 2
2 0 2
1 2 2
3 3 3
2 3 0
3 0 2
0 0 1
3 3 2
10 9
2 2 1
1 4 2
0 4 1
1 3 4
0 0 3
1 0 2
4 4 4
4 2 4
4 4 2
2 2 4
10 9
3 3 0
2 3 0
1 0 1
3 3 1
0 1 2
0 3 3
3 3 3
1 2 3
1 3 0
0 0 2
10 3
2 2 2
1 1 0
3 2 2
0 0 3
2 2 0
2 0 3
0 2 3
2 1 0
2 0 2
1 2 1
10 6
2 4 4
5 2 1
2 0 3
4 0 1
1 0 4
5 5 0
4 0 3
5 1 5
5 3 3
3 2 2
10 5
0 2 1
0 2 0
1 1 2
1 2 0
4 3 4
3 4 3
2 0 1
3 1 3
3 3 1
0 0 3
10 3
3 1 2
1 1 3
0 2 3
3 0 2
1 1 1
2 1 1
2 2 1
3 2 1
1 2 0
3 3 1
10 7
1 2 5
1 3 4
4 5 3
0 5 5
0 0 3
2 3 0
2 2 5
5 3 2
0 4 2
0 2 5
10 3
5 5 4
5 0 1
1 2 3
1 1 0
2 0 2
2 3 2
0 5 2
4 5 1
0 0 4
4 4 2
10 4
2 0 4
3 0 3
3 3 2
4 2 4
4 2 1
1 3 3
4 3 1
4 4 1
1 0 2
4 0 1
10 5
1 1 0
0 2 1
3 2 0
3 1 0
2 3 3
0 3 1
2 1 3
2 0 0
0 1 0
1 2 0
10 2
2 3 3
2 1 0
3 1 1
2 0 3
1 1 0
0 1 2
3 1 3
3 2 0
2 3 0
2 1 2
10 6
3 4 4
1 1 2
2 2 3
2 5 1
0 5 4
4 3 4
2 0 4
1 5 3
2 3 0
0 4 4
10 2
2 4 5
1 5 5
3 4 1
1 0 2
3 3 2
3 0 5
3 4 5
1 5 3
4 1 3
3 5 3
10 5
0 3 3
4 4 2
0 0 0
3 3 2
0 2 3
4 3 3
2 0 0
0 4 2
1 2 2
4 2 2
10 6
0 2 3
3 4 4
3 2 1
0 0 0
3 3 0
2 3 4
1 0 4
1 4 1
3 1 4
1 2 1
10 5
0 1 4
0 3 1
2 2 0
4 4 0
4 3 1
4 2 3
1 1 0
2 4 0
0 3 2
2 4 4
10 3
0 2 1
0 1 1
1 0 2
0 0 0
2 1 0
1 0 0
0 1 0
1 2 1
1 2 2
2 0 0
10 8
0 2 1
3 4 0
4 4 4
4 3 1
2 3 1
1 2 2
1 3 1
4 1 2
2 4 4
0 0 4
10 4
0 5 4
4 0 1
3 5 3
2 2 5
1 2 5
5 2 4
4 0 5
5 2 0
0 4 1
3 0 0
10 4
0 0 3
3 0 0
1 2 2
0 2 3
0 0 2
0 0 1
2 2 1
3 1 2
0 3 3
1 0 1
10 6
2 1 1
0 2 1
2 1 2
0 0 0
1 0 1
0 0 2
0 2 0
2 0 1
2 1 0
2 0 0
10 7
2 2 2
0 3 2
1 4 1
0 4 1
2 3 3
2 0 1
1 0 3
3 1 0
4 2 4
4 0 2
10 3
3 2 4
0 1 2
0 1 0
1 4 2
0 3 2
1 2 4
1 0 1
1 3 0
3 4 4
2 4 4
10 4
1 3 2
2 0 0
0 3 2
2 2 1
3 3 2
0 0 2
2 2 2
1 2 0
1 3 3
1 0 3
10 8
1 2 4
3 3 1
1 3 1
4 4 4
2 2 1
3 4 4
4 0 1
4 0 2
3 1 1
2 0 4
10 5
1 0 2
0 1 2
0 2 2
2 2 1
0 2 0
2 1 0
1 1 0
1 2 2
0 0 2
2 0 1
10 3
1 2 3
0 2 3
2 1 4
2 2 0
1 1 4
3 0 4
1 4 2
1 2 2
2 3 3
3 2 0
10 4
3 4 4
4 3 2
0 1 4
4 4 4
0 4 3
2 2 2
4 1 1
0 0 0
4 0 0
0 3 3
10 9
4 5 0
1 5 5
3 5 0
1 5 1
0 0 0
3 3 3
0 1 0
1 0 2
4 4 2
3 2 0
10 5
0 1 1
0 0 0
1 1 3
0 2 0
0 2 1
2 2 3
3 1 2
2 3 2
0 3 1
0 2 2
10 4
1 2 1
2 3 2
2 1 3
3 0 0
0 2 3
2 3 3
1 3 2
3 3 0
3 0 2
3 0 3
10 8
4 1 1
4 2 3
5 2 4
0 0 0
3 1 1
5 3 4
1 3 0
5 3 0
2 5 4
1 4 1
10 2
0 0 2
1 1 1
0 2 0
0 0 1
2 2 2
2 1 2
1 0 1
2 2 1
0 1 1
2 0 2
10 2
0 1 1
2 2 0
2 1 2
0 1 2
1 0 1
1 0 2
0 0 0
1 2 0
0 1 0
1 1 0
10 6
1 4 3
5 5 3
1 5 3
1 1 3
3 3 0
5 1 2
3 0 1
5 4 1
4 2 3
4 2 0
10 7
0 1 0
2 2 0
2 1 2
2 2 2
1 0 1
1 2 2
1 1 0
0 0 1
2 0 0
1 1 1
10 2
0 2 2
1 0 2
1 1 2
2 0 2
1 0 0
2 1 0
2 1 1
0 0 1
0 1 0
1 1 1
10 9
3 3 3
0 3 3
3 1 3
0 2 2
1 3 2
3 0 3
2 2 1
3 3 2
3 1 1
1 0 3
10 8
3 3 0
0 3 3
2 2 0
0 2 4
4 1 4
1 0 1
3 2 1
4 4 2
1 3 4
4 4 3
10 7
2 4 4
1 2 2
2 0 3
1 2 4
0 4 2
3 1 4
4 4 3
4 4 4
3 4 4
4 0 4
10 9
0 2 0
0 1 1
1 0 2
0 0 2
1 0 0
0 2 1
2 2 0
2 0 0
2 1 0
1 2 2
10 9
3 0 4
2 4 4
2 2 2
0 4 4
2 3 4
0 3 1
1 1 3
3 4 4
3 0 3
1 4 2
10 8
3 3 0
3 3 3
0 3 3
0 1 0
1 0 0
0 2 3
3 2 3
0 1 3
3 3 2
2 1 1
10 3
3 2 3
2 1 4
0 1 3
3 2 4
2 3 0
3 3 2
3 4 0
3 2 1
4 3 0
3 0 4
10 2
2 0 4
3 4 2
2 2 2
0 3 4
2 0 0
0 3 0
0 1 4
2 1 1
1 2 4
1 1 3
10 3
2 0 3
3 2 2
3 2 1
3 2 0
2 1 1
1 3 2
0 2 0
3 2 3
3 3 3
1 1 0
10 5
0 0 4
3 2 2
5 2 0
4 0 2
1 0 4
1 5 3
2 2 2
1 3 0
1 0 3
1 2 5
10 6
3 2 1
2 1 2
3 3 0
0 0 0
1 2 0
1 3 0
3 1 0
1 1 2
1 2 2
1 0 3
10 7
0 4 3
2 3 3
4 5 1
1 3 2
5 5 2
1 2 4
4 3 5
4 3 2
5 3 0
0 2 1
10 7
2 1 0
2 2 0
0 2 2
0 0 2
0 1 2
2 1 2
0 2 1
0 1 1
2 0 0
2 2 2
10 3
1 2 0
1 4 2
4 1 2
5 0 4
2 2 5
3 3 0
3 3 3
4 2 3
1 5 2
1 0 0
10 3
2 2 2
1 1 2
2 1 0
1 2 1
2 0 2
0 2 1
1 2 0
1 1 1
2 0 0
0 0 1
10 4
0 2 1
3 0 1
2 0 0
3 1 0
2 3 2
3 0 3
1 2 2
1 0 2
0 2 3
3 1 1
10 9
1 4 1
2 2 3
1 1 4
2 3 4
4 4 2
1 0 2
3 2 4
4 3 3
2 4 2
1 2 0
10 3
2 2 0
0 0 3
1 0 3
3 2 2
3 3 2
1 1 3
2 3 0
2 0 3
0 1 0
3 3 1
10 4
2 1 5
5 5 4
1 0 2
3 4 0
2 2 0
0 2 2
3 0 0
3 3 3
4 1 0
1 0 4
10 7
3 2 1
4 3 0
3 4 1
1 4 3
3 0 4
3 0 2
0 4 4
4 2 4
1 4 2
4 0 3
10 3
5 0 4
0 5 5
3 4 2
5 1 0
3 2 5
0 2 5
1 2 2
3 5 4
2 5 3
3 4 4
10 2
1 4 1
2 4 0
3 0 0
4 1 4
3 4 1
0 2 0
3 2 0
3 1 1
3 1 3
4 3 1
10 9
3 2 2
1 4 2
1 1 3
3 4 2
0 0 3
0 3 1
0 3 0
0 2 1
3 1 4
1 3 1
10 9
0 0 2
1 3 3
3 2 0
2 0 3
3 2 2
0 1 0
3 3 0
3 3 1
2 0 0
0 1 1
10 6
4 5 0
0 1 4
3 3 1
1 5 4
1 0 5
5 3 2
3 2 1
5 2 2
3 1 3
1 1 0
10 5
1 0 2
0 1 0
1 1 1
0 2 1
2 1 2
0 0 1
2 0 2
2 2 2
2 0 0
1 2 0
10 7
2 1 1
0 2 1
1 1 3
2 1 0
1 3 0
2 2 3
1 0 0
1 3 3
1 2 2
3 2 3
10 9
2 1 4
4 2 3
1 0 1
1 0 3
2 2 2
1 1 0
2 4 2
4 1 1
4 2 4
2 2 3
10 7
1 2 2
1 1 3
0 1 2
0 3 0
2 0 3
1 2 0
3 3 2
3 0 2
1 2 3
2 2 0
10 9
0 2 3
2 3 1
0 4 1
3 2 0
2 2 2
4 4 3
3 3 0
4 1 2
2 0 2
2 0 1
10 3
2 0 0
0 1 2
2 2 2
0 0 1
1 1 2
0 1 1
0 2 2
2 2 0
2 0 1
1 0 0
10 8
4 0 1
3 5 0
2 1 5
3 0 5
2 0 3
2 3 4
3 3 5
3 1 2
1 3 0
5 4 5
10 7
3 1 1
3 0 1
4 2 2
3 4 2
1 0 1
2 4 4
4 3 4
1 2 2
2 2 3
2 0 1
10 2
3 2 1
0 2 3
3 2 2
1 1 0
0 0 3
0 0 1
3 3 2
2 1 3
0 3 2
0 3 0
10 5
4 4 4
0 0 1
2 0 1
0 2 1
0 3 0
2 0 0
4 2 1
1 4 1
0 0 3
1 1 3
10 7
4 1 2
2 3 3
3 1 0
0 2 5
4 2 3
3 1 2
0 4 2
0 0 3
5 3 1
4 3 0
10 6
4 1 1
3 4 4
4 1 3
2 1 4
0 4 0
1 2 2
2 0 3
3 2 4
0 2 3
4 0 4
10 8
1 2 2
3 4 2
3 2 2
2 0 3
4 0 4
4 0 0
0 0 0
2 0 2
4 0 3
0 1 0
10 9
1 0 2
1 0 1
2 2 0
0 0 0
1 2 2
0 1 0
1 1 0
0 0 1
0 2 1
1 0 0
10 8
1 1 1
2 1 0
2 2 0
2 0 1
1 2 1
2 1 2
1 0 0
1 0 2
0 2 0
0 0 1
10 8
0 2 1
0 0 2
2 2 2
2 0 0
2 1 2
0 0 0
1 2 1
0 0 1
0 1 2
2 2 1
10 5
1 5 2
1 4 3
5 4 3
1 3 5
3 4 3
1 5 0
3 0 2
0 3 4
2 3 5
3 2 1
10 3
0 2 3
1 1 3
1 3 4
2 3 1
4 4 3
2 1 2
3 1 1
1 4 1
0 3 3
0 0 4
10 8
1 0 0
2 1 2
2 2 0
1 1 1
1 2 2
2 1 0
1 0 1
0 2 0
1 2 1
1 1 2
10 3
3 4 1
2 0 2
3 0 2
3 3 0
1 0 0
3 2 0
1 0 2
4 2 3
1 0 3
1 1 1
10 9
0 0 1
0 2 1
3 3 2
2 0 0
2 3 2
1 4 0
3 1 2
1 2 1
0 4 2
3 3 1
10 5
0 3 3
4 0 4
1 1 0
3 4 2
4 4 1
3 2 3
0 1 1
1 0 3
0 4 1
1 4 1
10 3
4 2 4
0 1 2
2 0 4
0 0 2
2 1 2
2 3 1
0 4 1
1 3 2
3 4 0
0 2 4
10 8
0 2 2
0 3 2
3 4 4
1 1 3
0 4 1
0 0 4
4 4 2
1 3 4
0 1 0
1 4 1
10 9
1 2 2
3 3 1
0 1 3
2 1 2
1 3 3
1 2 0
1 1 3
3 3 3
0 1 1
3 1 1
10 9
4 1 1
2 4 1
1 4 0
0 3 2
0 0 2
4 3 3
0 3 0
0 3 3
4 1 0
2 1 3
10 2
2 3 0
2 4 3
3 0 4
3 3 4
2 0 4
0 1 4
0 1 3
1 4 0
1 0 1
0 2 1
10 7
4 5 4
5 5 0
1 4 1
0 3 0
2 4 2
5 5 2
1 2 2
0 5 0
5 3 4
2 5 2
10 3
1 2 5
5 2 0
2 2 3
4 0 3
0 1 0
0 4 1
2 0 5
1 1 4
3 5 2
2 5 4
10 9
3 1 2
3 0 3
0 2 3
1 0 1
1 3 0
1 2 2
3 2 0
3 3 2
2 2 3
0 1 2
10 9
4 5 3
3 3 1
0 3 4
5 3 2
3 4 1
4 3 4
1 5 4
3 2 5
3 5 4
5 5 3
10 8
4 3 0
3 3 5
5 3 0
5 4 3
5 2 5
2 5 3
1 4 3
0 0 1
4 0 4
0 2 1
10 9
3 3 3
2 1 3
0 0 0
2 0 2
2 0 0
0 2 4
0 0 3
0 4 3
0 3 1
2 3 4
10 5
1 2 2
2 1 1
1 1 2
2 2 1
1 0 1
0 0 1
0 2 2
2 2 0
0 1 0
1 0 2
10 6
3 1 3
0 3 0
2 0 2
1 1 1
3 2 2
0 0 3
2 2 2
1 3 1
0 2 3
1 2 0
10 5
4 2 0
3 2 0
2 1 0
2 2 3
1 0 4
3 2 3
4 4 2
0 0 1
1 0 1
3 4 2
10 8
0 4 3
5 5 2
3 2 2
2 2 4
3 1 3
2 4 5
5 2 4
0 1 1
0 3 2
2 5 2
10 2
2 3 1
2 0 5
0 1 2
2 5 5
5 0 2
2 1 1
4 1 3
5 0 4
3 1 1
4 4 3
10 6
2 4 3
5 0 5
5 0 3
2 0 3
2 5 4
2 1 3
2 0 2
3 3 3
5 3 0
0 4 3
10 3
2 4 0
0 3 3
2 3 3
0 3 4
3 2 1
3 1 4
0 2 0
0 0 4
3 0 3
2 2 1
10 3
1 2 1
4 0 0
2 3 1
0 2 0
0 1 3
2 0 4
3 2 0
4 4 2
4 1 2
1 0 4
10 8
2 1 3
0 0 3
0 3 1
0 4 2
4 3 2
2 0 0
0 4 0
2 2 2
3 3 3
0 0 2
10 6
2 2 2
1 0 0
1 1 0
0 0 1
2 0 0
1 2 1
1 2 2
1 0 1
0 0 2
0 1 0
10 4
2 4 1
1 2 1
4 4 3
4 2 4
3 2 3
3 3 4
3 4 3
0 3 0
2 4 3
3 2 2
10 8
4 0 2
2 1 0
3 4 2
4 0 4
2 4 2
0 2 0
0 4 3
1 2 3
2 4 0
0 2 1
10 3
0 1 1
2 1 0
0 3 3
1 1 3
0 4 2
4 0 5
1 2 2
5 4 1
2 0 0
3 3 2
10 8
4 4 1
4 4 0
3 4 4
4 4 2
0 4 4
0 4 1
2 4 1
2 4 0
1 0 2
4 2 2
10 6
1 2 0
2 0 2
0 2 0
0 0 1
1 1 2
1 0 2
1 1 0
0 1 0
0 2 2
2 0 1
10 6
1 4 0
4 3 1
4 0 2
2 1 2
1 1 4
0 3 0
4 3 4
0 1 4
1 4 1
2 3 0
10 4
0 2 0
3 2 2
1 1 0
2 3 2
1 3 3
0 2 3
3 1 0
2 3 3
2 0 0
3 0 0
10 5
3 0 4
2 2 4
2 1 3
4 0 1
2 0 0
2 1 1
4 1 1
3 3 2
0 1 0
4 2 2
10 4
2 4 0
4 2 3
4 3 2
3 1 0
1 4 4
2 1 0
3 1 2
0 2 4
3 3 1
1 2 4
10 8
3 3 3
3 3 0
3 2 2
3 1 1
1 2 1
2 0 3
0 1 2
1 3 1
3 0 0
2 1 0
10 2
0 0 0
1 1 1
0 3 2
0 1 3
3 1 1
3 2 1
0 1 0
2 0 1
3 3 3
2 3 1
10 8
0 1 0
2 1 1
0 2 0
1 2 0
1 2 1
2 2 0
2 2 1
2 1 0
0 2 2
2 2 2
10 7
1 0 3
3 0 3
1 0 2
0 0 2
1 2 0
2 2 1
3 1 1
0 0 1
3 2 3
0 1 3
10 5
2 2 4
4 0 2
1 1 3
4 1 1
2 3 2
1 4 1
1 3 1
2 3 4
2 1 4
2 4 4
10 8
3 0 1
0 0 2
3 0 0
0 0 0
0 3 1
0 3 2
3 1 1
2 1 3
1 2 3
3 2 2
10 4
3 3 4
1 1 0
4 0 0
3 2 3
4 0 3
3 1 1
1 4 4
4 4 4
0 1 0
0 3 4
10 6
1 5 2
0 2 2
1 1 4
2 2 3
3 0 2
5 2 4
2 1 2
0 5 1
4 5 1
1 2 0
10 3
4 0 1
3 0 0
0 0 4
2 3 4
3 4 4
0 4 4
2 1 4
0 2 3
1 4 3
2 4 3
10 5
2 3 2
1 2 2
1 1 3
3 3 2
3 3 1
0 1 3
2 0 2
0 2 2
3 1 1
2 0 0
10 5
2 1 0
2 0 0
1 0 1
2 2 0
0 1 1
0 0 2
0 1 2
1 1 0
2 1 1
0 2 0
10 6
1 3 4
0 1 4
2 3 1
3 3 0
2 0 0
0 1 1
1 0 4
3 3 1
0 0 2
1 1 1
10 2
4 0 5
1 1 0
4 5 2
2 4 4
4 1 0
4 4 5
1 3 0
2 4 0
3 3 5
2 0 3
10 8
0 1 2
1 2 2
0 1 0
0 1 1
1 0 0
0 0 1
1 2 0
2 0 0
0 2 0
1 0 2
10 7
2 0 2
1 2 2
1 0 1
1 2 1
1 1 0
1 1 2
2 0 1
1 0 2
0 1 0
1 1 1
10 6
2 2 2
2 1 1
0 0 2
2 2 0
0 1 0
0 2 1
2 0 2
2 1 0
1 2 1
1 0 2
10 5
0 3 3
2 1 5
1 0 1
0 4 4
1 5 0
5 3 2
2 5 3
2 1 4
5 4 5
5 0 0
10 6
0 0 0
4 2 5
4 1 5
0 1 2
0 3 0
4 5 4
2 2 3
2 5 4
0 5 5
1 4 1
10 6
1 2 2
0 2 1
5 5 2
1 3 2
3 0 1
2 4 4
3 0 4
3 3 2
1 4 4
1 0 5
10 7
4 3 0
3 0 2
1 4 5
5 3 1
3 0 5
1 5 2
4 5 1
4 1 0
4 4 5
4 4 0
10 7
1 1 2
2 0 2
1 1 1
2 2 0
2 1 0
3 0 0
1 3 1
1 0 3
2 0 3
2 2 1
10 9
2 0 0
1 1 0
0 1 3
2 2 1
3 0 3
1 2 2
0 2 1
2 1 3
2 0 2
3 1 3
10 9
5 2 5
0 4 3
2 0 1
0 1 0
3 2 4
2 1 5
1 4 5
0 2 0
4 3 5
1 1 5
10 8
0 2 4
1 3 1
4 1 0
2 4 3
1 1 4
2 0 3
4 4 0
0 1 0
1 1 3
1 4 2
10 9
0 2 3
4 3 2
3 1 3
2 3 3
0 1 4
2 4 3
4 1 0
1 4 1
4 2 3
3 3 4
10 4
1 1 1
0 2 2
1 0 2
2 0 0
1 1 0
2 3 0
2 0 3
3 1 0
0 3 2
3 0 0
10 9
1 2 0
0 2 3
2 2 3
1 2 2
3 3 2
0 1 1
2 2 0
2 0 3
3 3 3
0 0 1
10 5
1 0 4
1 3 2
4 0 5
2 4 1
1 5 4
0 2 0
4 0 2
3 2 3
2 1 2
0 1 0
10 9
2 0 4
3 1 1
0 1 3
3 0 0
1 4 1
3 1 4
0 2 2
3 0 2
4 4 4
3 4 4
10 6
0 1 2
1 0 1
2 2 0
0 0 3
0 3 2
3 1 1
2 0 1
1 1 3
2 2 3
0 2 3
10 7
0 2 2
2 0 2
2 2 1
0 1 2
2 0 1
0 1 0
2 1 2
2 2 0
0 2 0
0 2 1
10 8
1 0 0
1 2 2
0 1 2
2 1 2
1 1 2
0 2 0
0 0 0
2 0 0
0 1 1
1 1 0
10 4
2 1 2
1 1 3
2 0 3
1 2 0
0 2 0
1 0 0
2 1 1
3 0 1
2 3 3
1 1 2
10 9
1 1 2
2 0 0
2 0 2
1 1 0
2 2 0
2 2 2
2 2 1
2 1 2
0 2 1
0 0 2
10 9
1 3 2
1 1 3
0 3 2
3 3 2
2 1 1
3 2 2
0 2 0
3 3 0
0 3 0
2 0 2
10 8
1 1 5
1 0 1
4 1 3
2 5 0
0 5 1
3 1 5
1 0 4
2 5 2
4 0 1
5 5 4
10 5
1 3 2
3 3 4
3 0 4
4 3 3
5 0 5
2 5 0
3 2 1
4 5 0
5 5 0
1 0 2
10 8
3 0 4
3 2 4
1 2 1
2 1 2
1 3 1
4 0 0
2 0 0
1 3 2
4 0 1
1 4 2
10 2
2 2 2
1 1 4
0 3 0
1 2 3
2 0 2
4 2 3
4 2 0
4 0 0
4 5 2
2 0 0
10 8
5 3 5
3 4 4
5 5 5
2 5 3
1 3 2
1 5 0
0 3 2
1 2 2
2 2 2
5 0 2
10 6
2 1 2
1 2 2
1 0 0
3 2 3
1 3 0
2 2 1
3 0 1
2 0 2
2 0 1
3 2 1
10 7
1 3 3
0 3 0
0 1 2
1 1 2
3 3 1
1 2 3
1 1 3
0 2 0
0 0 0
2 1 3
10 4
3 0 1
3 3 2
1 3 1
2 0 0
1 3 0
3 1 0
3 3 3
0 0 1
0 0 0
3 0 2
10 5
1 1 1
2 1 2
1 0 0
0 1 1
0 1 2
2 0 1
2 1 0
1 1 0
1 2 1
2 2 0
10 2
1 1 2
1 0 2
0 2 1
2 2 1
2 1 1
1 2 0
0 1 1
0 1 2
0 0 0
1 0 0
10 3
4 1 0
3 3 1
2 0 3
0 4 4
4 1 3
0 2 1
0 0 1
3 1 0
0 4 2
3 1 4
10 7
1 4 3
1 1 5
1 5 1
1 2 4
3 2 4
2 0 2
0 5 5
5 3 1
1 1 3
1 3 1
10 9
3 5 4
5 0 2
2 4 2
0 0 1
4 1 0
5 3 2
0 1 0
2 3 1
4 5 4
1 1 3
10 6
1 0 3
3 2 0
1 1 1
0 3 2
1 3 1
1 0 0
0 0 3
0 1 2
0 0 1
3 3 1
10 9
4 3 2
5 3 2
4 1 1
4 1 5
2 2 2
1 1 1
3 0 5
1 4 1
4 1 0
5 5 5
10 4
1 0 1
1 1 1
2 0 2
2 2 1
2 2 2
2 0 0
2 1 1
1 0 2
0 1 1
1 0 0
10 5
1 0 0
2 1 1
2 0 0
2 2 0
2 0 2
1 1 2
0 1 0
1 0 1
2 2 1
0 0 2
10 6
0 4 4
2 4 2
4 3 3
2 1 0
3 1 2
3 3 3
3 3 2
0 2 0
1 0 3
2 1 1
10 4
1 5 0
1 0 2
3 1 4
2 5 5
1 1 3
0 1 0
5 1 2
3 5 4
1 1 4
5 4 4
10 5
1 3 1
2 2 0
2 2 3
3 0 1
2 0 0
2 4 4
0 1 2
2 1 4
3 2 1
4 2 3
10 8
0 4 3
5 1 4
0 3 3
0 1 2
5 5 0
2 1 5
4 5 3
0 5 0
3 5 0
5 4 0
10 4
1 5 0
5 4 2
1 4 0
0 5 1
2 2 0
0 1 5
3 5 5
5 0 5
2 5 4
4 1 2
10 2
2 0 0
0 1 1
0 2 2
0 0 0
2 1 2
2 2 2
2 1 1
0 1 2
0 0 1
1 1 0
10 8
2 2 4
0 0 2
3 4 4
2 0 0
2 4 2
2 2 1
3 4 2
3 1 0
2 3 2
2 3 4
10 4
4 1 5
0 3 3
1 4 5
5 1 4
2 0 3
5 3 1
2 3 2
5 2 4
2 5 0
5 5 1
10 7
2 1 3
2 0 2
0 0 0
1 1 0
1 0 2
0 2 1
1 2 2
0 0 3
0 2 3
2 1 2
10 6
1 3 1
0 1 1
1 2 4
0 1 3
0 3 3
3 3 3
4 4 0
1 1 2
0 0 4
0 1 0
10 8
2 2 2
0 2 0
2 2 0
0 0 2
0 1 2
1 1 2
0 0 1
1 1 0
2 1 1
1 2 0
10 2
4 4 1
1 2 2
2 3 0
3 4 3
0 0 0
3 1 3
4 3 4
4 2 1
3 2 0
4 1 3
10 7
5 3 1
5 2 3
4 2 4
3 5 1
4 4 0
0 4 0
2 1 5
3 2 0
5 5 5
2 5 4
10 8
4 4 1
3 1 2
1 4 1
1 4 4
3 3 1
3 3 0
0 2 0
2 0 0
1 3 2
4 1 4
10 8
1 0 2
4 2 1
4 3 0
4 1 4
3 4 0
3 0 1
0 0 2
0 3 2
2 1 0
2 3 0
10 9
2 1 2
2 1 0
2 3 1
1 3 1
3 3 3
2 2 1
1 3 0
2 3 2
0 0 1
3 2 1
10 2
0 2 1
3 0 4
2 0 3
3 1 3
1 2 2
0 3 2
1 3 3
3 1 2
4 3 4
4 3 2
10 9
3 1 1
4 2 4
1 4 0
4 4 3
3 3 5
1 4 2
1 3 3
5 3 1
4 0 5
0 5 1
10 3
3 4 4
2 1 0
1 2 4
2 0 0
2 2 2
2 3 3
0 2 3
0 4 3
4 1 2
0 2 1
10 3
1 2 1
0 2 1
2 2 1
1 0 1
0 0 0
0 0 1
1 2 0
1 1 2
2 2 2
2 0 1
10 9
4 4 1
2 2 0
3 0 2
1 4 1
1 3 4
4 3 0
0 1 1
0 2 3
3 3 3
1 0 1
10 2
0 2 0
2 2 3
3 0 1
2 1 0
1 0 0
1 3 3
3 3 3
0 3 2
2 2 1
0 0 2
10 8
2 2 1
1 1 2
2 1 2
2 0 0
0 1 1
0 2 0
2 1 0
0 0 1
1 0 2
0 2 1
10 7
2 3 0
1 1 2
0 4 2
4 2 4
1 2 0
1 4 3
3 3 2
4 0 0
1 4 4
0 1 2
10 8
2 0 0
1 0 2
0 1 1
1 1 1
0 2 1
0 0 2
1 1 2
0 0 0
1 1 0
1 0 1
10 9
2 0 2
0 1 2
3 3 0
0 0 3
3 0 2
3 0 3
2 0 3
1 0 0
0 1 3
3 3 1
10 6
2 1 2
0 2 1
0 0 1
1 0 2
1 2 0
2 0 0
0 1 2
1 1 2
0 1 1
2 0 1
10 4
0 2 0
2 1 2
1 1 2
0 0 1
2 3 1
3 0 0
0 0 0
1 2 3
0 3 1
1 0 0
10 5
0 2 2
0 2 0
0 3 0
3 2 0
2 3 1
3 2 3
2 3 0
3 0 1
1 0 2
2 2 3
10 9
4 4 2
1 4 5
1 2 5
4 2 0
3 5 3
5 2 3
2 5 0
0 1 0
2 1 2
1 5 2
10 4
3 2 0
3 1 2
3 0 1
0 3 2
0 3 0
1 2 3
0 0 1
2 0 1
2 1 1
0 1 3
10 4
2 3 1
1 3 3
2 2 3
1 0 0
2 3 0
1 2 0
0 2 0
2 1 3
2 1 1
0 3 0
10 4
3 2 3
2 2 0
1 0 0
2 0 3
1 1 1
1 0 1
3 3 0
1 2 2
3 1 0
1 1 0
10 3
4 3 1
5 3 4
0 2 5
1 1 3
3 1 5
1 2 0
3 0 3
3 3 4
3 1 4
3 4 1
10 8
1 1 2
3 2 1
0 2 0
2 3 1
3 2 0
2 2 3
2 2 0
2 0 1
2 2 1
2 0 2
10 3
2 4 2
3 3 2
1 0 2
3 2 1
0 3 2
4 4 1
3 3 1
3 3 0
1 0 1
0 2 1
10 2
3 4 1
4 0 1
0 0 2
3 2 3
2 0 0
0 3 1
2 4 2
3 1 4
2 3 3
1 0 3
10 9
2 3 2
3 0 0
1 1 0
1 1 1
2 1 1
3 3 0
3 2 1
2 1 3
2 1 0
0 1 0
10 3
3 1 5
5 5 4
0 0 4
2 3 1
3 2 5
4 1 3
5 4 2
3 4 5
5 1 3
3 1 1
10 6
0 1 0
3 2 0
3 3 3
1 0 3
2 2 2
0 1 1
1 3 0
2 0 2
2 1 1
0 2 2
10 3
4 0 2
1 1 3
3 3 4
2 1 4
4 2 4
1 2 2
1 1 2
3 2 0
4 1 0
2 4 1
10 2
2 0 0
2 1 1
2 0 2
0 2 0
0 0 2
1 1 2
0 1 0
2 0 1
0 0 1
0 1 1
10 4
1 3 1
4 2 4
4 5 5
4 1 1
4 1 2
2 4 5
1 2 3
2 3 2
1 4 0
4 3 4
10 6
2 0 3
0 1 1
1 1 1
0 3 3
2 2 1
3 2 1
5 1 0
0 0 5
2 5 2
2 5 3
10 6
1 1 1
0 2 0
2 1 1
1 2 0
1 2 2
1 1 2
0 2 2
2 0 2
2 1 0
1 1 0
10 8
2 0 0
0 0 2
2 2 0
2 2 1
1 0 2
0 1 2
0 1 1
2 1 1
2 2 2
1 1 1
10 4
2 2 3
3 1 3
3 0 3
1 1 1
1 2 2
0 3 0
2 1 1
0 1 2
2 0 1
3 3 3
10 7
0 0 1
2 3 0
3 1 2
2 0 2
1 0 0
0 2 1
3 1 0
3 3 2
2 0 0
1 3 0
10 9
0 3 1
3 2 3
1 3 1
3 0 0
0 2 1
0 3 2
2 1 2
2 0 3
2 1 1
1 3 3
10 6
2 1 0
1 0 0
3 2 1
3 0 0
3 0 2
3 2 2
2 2 2
1 3 1
2 0 0
0 1 3
10 3
3 0 0
0 3 1
2 3 0
0 2 0
3 2 3
1 1 2
2 2 2
0 2 2
3 1 3
3 1 0
10 3
3 5 3
0 5 4
3 3 0
5 1 1
1 5 2
0 0 3
3 2 3
5 3 3
1 2 3
2 1 3
10 9
1 2 1
2 0 1
2 2 0
1 2 2
1 0 2
2 2 1
0 1 0
0 0 1
2 0 2
2 2 2
10 9
2 4 1
0 1 3
1 4 0
0 4 4
2 3 3
4 1 0
2 1 4
3 0 1
1 2 3
2 0 0
10 6
2 1 2
0 0 1
1 1 2
0 2 0
1 2 2
1 0 2
0 0 0
1 0 1
2 0 1
0 1 0
10 6
3 0 0
2 2 1
0 2 0
3 2 0
2 3 1
3 1 0
0 1 3
1 3 3
1 1 3
0 0 2
10 9
1 1 0
0 2 3
2 3 2
1 0 0
1 2 2
0 1 1
1 1 1
3 3 3
1 2 3
2 0 1
10 5
3 3 3
0 2 3
4 4 2
0 0 2
4 2 1
4 0 0
0 2 0
4 1 4
0 1 2
2 3 4
10 3
5 2 2
2 2 4
1 0 5
3 5 5
5 3 5
4 0 4
0 1 2
1 4 2
1 4 0
0 5 1
10 6
1 1 0
0 1 2
0 2 1
1 2 2
2 1 2
1 1 2
1 2 1
0 1 0
0 2 0
2 2 0
10 9
1 3 0
4 1 0
1 1 4
2 2 3
0 1 1
4 4 0
3 3 1
4 4 3
2 0 1
0 3 4
10 3
3 0 1
0 1 2
3 0 2
1 1 2
3 3 1
3 3 3
2 0 1
1 1 3
2 3 2
3 1 1
10 7
1 3 0
2 3 3
0 2 0
0 0 1
3 1 2
3 3 1
1 3 1
1 0 1
1 3 3
2 2 0
10 7
0 4 1
1 1 3
1 0 1
2 0 0
2 1 4
2 3 4
2 1 2
4 1 1
0 1 0
4 0 1
10 2
4 0 2
3 0 2
3 2 2
2 4 2
2 4 3
0 3 3
4 3 3
2 2 1
4 2 3
0 4 4
10 7
2 2 2
1 3 1
0 0 1
3 0 0
0 1 2
0 3 0
2 0 1
1 1 0
0 2 0
0 3 2
10 3
0 4 4
4 0 0
3 1 2
4 3 4
0 0 1
0 4 3
4 4 3
4 4 2
2 4 2
1 3 1
10 9
0 3 1
0 1 1
2 0 5
3 5 0
2 2 5
2 4 2
5 0 0
3 5 4
2 5 3
4 3 1
10 8
3 2 1
4 2 4
1 0 0
2 4 4
0 3 1
4 0 0
0 0 1
1 4 3
1 3 3
0 4 1
10 4
1 2 1
1 2 0
0 0 1
0 2 2
2 0 1
0 2 0
1 0 2
0 2 1
2 0 0
2 2 2
10 8
0 0 2
1 2 3
0 1 3
2 3 0
1 3 2
4 0 1
3 3 0
0 2 1
1 2 0
0 3 0
10 6
1 0 1
1 0 0
2 2 2
0 0 1
2 1 2
2 1 1
2 0 0
2 2 1
2 0 2
0 0 2
10 5
0 2 3
1 3 3
3 2 3
3 0 3
1 0 1
1 3 1
2 1 2
1 1 1
2 3 0
3 0 2
10 4
0 2 1
2 2 0
0 1 0
0 1 1
0 2 2
2 2 1
1 1 0
0 0 2
1 2 2
1 1 2
10 9
0 0 5
3 1 0
4 5 4
3 4 4
2 4 4
2 5 1
0 5 4
5 4 2
5 0 4
0 2 5
10 7
1 2 5
4 0 1
5 3 1
1 3 2
1 4 5
2 3 5
1 0 2
3 1 1
2 4 2
5 0 2
10 3
0 1 2
4 4 0
0 4 1
0 0 0
4 0 1
1 3 1
2 0 3
1 2 3
2 3 3
0 4 4
10 6
4 3 3
4 0 4
0 2 2
2 4 2
3 0 3
2 4 3
4 2 0
1 4 2
1 4 4
3 1 2
10 9
2 2 3
0 0 1
3 3 0
1 0 0
3 1 0
3 1 1
0 0 0
0 1 3
1 2 2
1 0 3
10 7
2 0 1
0 1 0
2 2 2
0 2 0
0 1 1
2 1 0
0 0 0
1 0 0
0 0 1
1 2 1
10 2
2 1 1
0 2 3
0 3 1
2 3 2
2 0 3
1 1 1
1 0 1
0 2 0
3 1 3
1 0 0
10 5
0 0 2
1 3 3
0 1 0
2 0 0
3 3 1
1 2 3
4 1 0
0 3 1
0 1 1
4 3 2
10 7
1 1 3
4 3 3
1 0 4
1 1 0
2 1 2
0 0 2
3 1 2
4 1 2
2 2 2
0 0 4
10 2
0 3 4
0 2 3
0 1 4
2 3 1
1 1 1
2 2 2
4 4 2
1 1 4
1 3 1
1 1 0
10 8
2 2 3
3 1 2
3 0 2
1 1 2
2 1 3
2 3 3
1 1 1
3 3 1
2 3 0
2 0 2
10 3
0 3 3
1 1 0
0 1 1
0 1 0
3 3 3
1 2 2
2 0 2
2 2 3
3 0 2
2 1 0
10 6
1 3 4
4 2 2
0 3 2
2 0 1
2 3 4
1 1 1
4 4 0
3 2 0
4 1 1
0 3 0
10 4
1 3 0
3 3 3
3 4 4
0 1 4
3 1 2
3 0 0
4 2 2
3 4 2
1 4 4
0 2 3
10 7
3 0 0
1 1 1
0 3 3
5 3 4
5 0 4
2 3 3
4 2 4
4 5 1
5 2 5
0 5 2
10 2
1 2 4
0 0 2
4 0 2
3 2 2
1 3 2
1 3 3
4 4 2
4 2 2
1 1 0
3 3 0
10 9
2 0 0
2 2 0
2 2 2
0 2 1
0 1 0
2 2 1
0 0 0
1 2 1
1 0 0
2 1 2
10 3
1 1 0
3 3 0
1 2 1
3 1 0
0 1 3
2 0 2
2 0 1
2 1 1
0 3 0
1 3 2
10 7
2 2 2
1 1 2
2 0 1
1 1 4
4 1 1
2 4 1
1 0 2
0 2 1
2 2 3
3 3 0
10 7
1 2 2
2 2 1
2 1 2
0 0 1
0 2 0
2 2 2
1 1 2
0 1 2
1 1 1
0 1 0
10 9
3 3 0
2 0 3
1 2 3
1 2 0
2 0 2
0 0 0
1 0 0
2 0 0
1 2 1
2 2 3
10 8
0 2 2
2 2 2
0 2 0
2 1 0
2 0 2
0 1 2
1 2 0
0 1 0
2 0 1
0 2 1
10 4
4 5 3
5 5 5
3 3 4
5 3 1
3 4 3
2 5 4
0 5 5
3 4 4
5 1 4
2 0 0
10 6
1 0 4
0 1 0
0 1 1
0 1 3
1 2 0
1 0 3
3 3 1
4 1 0
0 2 3
3 1 0
10 5
2 1 2
0 2 1
1 0 1
0 0 1
1 0 0
2 2 0
2 1 1
0 1 1
0 2 2
0 1 0
10 2
5 5 3
3 2 4
3 4 1
4 5 4
1 3 0
5 4 1
0 0 2
0 5 0
2 0 0
5 4 4
10 5
1 2 1
0 1 0
0 0 2
1 2 2
2 1 0
2 2 2
0 1 2
2 1 1
1 1 2
1 0 0
10 3
0 2 0
1 2 3
3 2 3
1 2 0
3 3 1
0 2 1
1 0 3
2 1 0
3 1 0
1 0 2
10 9
2 3 0
3 3 1
0 0 3
0 1 2
3 1 2
1 3 3
2 2 1
3 2 1
1 0 0
2 0 0
10 7
1 4 4
2 0 2
3 4 1
1 3 5
4 2 1
1 0 0
5 0 0
3 1 4
1 3 4
0 4 0
10 2
4 3 3
3 0 0
2 4 2
3 1 5
0 0 4
2 1 3
5 2 5
1 2 1
1 1 5
2 3 3
10 3
1 3 2
2 0 2
3 3 2
3 2 0
3 1 3
2 1 2
0 2 1
3 1 1
1 0 1
1 3 1
10 6
0 0 2
4 3 3
3 2 0
0 1 1
1 1 2
0 0 1
2 1 1
2 2 2
2 0 0
2 3 1
10 9
3 4 2
0 1 3
4 3 2
4 3 4
1 3 4
2 4 3
1 3 2
1 4 2
1 4 1
3 3 4
10 8
0 0 2
3 3 1
2 4 1
3 3 0
0 4 4
1 4 4
2 0 2
4 2 3
2 0 0
4 4 0
10 4
0 2 3
0 2 2
2 3 2
1 3 3
0 0 3
1 1 3
2 3 3
3 1 0
2 0 1
1 1 1
10 6
0 2 1
3 1 0
0 0 2
0 1 3
3 3 3
2 2 3
4 2 4
2 4 3
3 1 2
1 1 0
10 2
3 0 0
2 0 2
4 0 1
5 0 1
0 5 5
0 0 3
4 1 5
0 2 5
0 3 3
3 0 5
10 7
0 0 2
0 1 0
1 0 0
0 0 0
1 0 1
0 1 2
2 2 2
0 2 2
1 1 0
2 0 0
10 8
0 2 2
0 2 1
2 3 1
1 2 0
3 3 0
3 2 0
0 1 1
1 1 3
1 0 1
2 0 3
10 3
0 1 4
1 5 0
3 2 1
2 0 4
5 2 4
3 2 0
3 2 4
0 2 0
1 5 1
0 0 3
10 6
3 3 3
1 1 2
1 3 3
4 1 1
1 0 3
2 2 4
4 1 0
5 5 0
1 5 1
0 0 3
10 5
2 0 0
2 2 1
0 0 1
2 2 2
2 1 2
1 0 2
0 1 1
2 1 1
0 0 2
0 2 0
10 2
2 4 5
3 0 0
2 3 1
3 3 1
1 3 2
2 4 2
1 2 5
5 1 0
4 0 3
1 5 4
10 3
2 3 2
0 0 1
3 0 2
0 0 0
3 4 1
0 4 3
1 3 2
4 4 1
0 0 2
4 4 2
10 2
3 3 3
0 0 2
1 3 1
0 2 0
3 3 0
0 1 2
2 2 3
3 1 3
4 2 1
4 2 0
10 7
5 1 5
1 0 4
0 4 2
3 1 3
4 4 5
1 4 1
1 4 2
1 1 2
1 4 5
0 2 1
10 8
2 4 4
0 5 0
3 2 5
4 3 3
3 1 4
3 5 3
2 5 1
4 4 2
3 2 0
1 0 0
10 6
0 1 1
1 2 2
1 2 1
2 2 1
2 2 0
1 0 1
0 2 2
2 2 2
2 0 2
0 1 0
10 8
1 0 2
2 1 1
1 1 0
1 2 2
0 1 2
2 1 0
2 1 2
0 2 1
0 0 1
1 0 1
10 5
3 0 4
0 4 0
3 4 3
4 4 3
2 3 4
3 2 3
0 4 3
2 4 4
0 3 3
3 3 2
10 3
3 3 0
3 2 4
2 0 3
3 2 2
0 3 1
4 0 3
1 1 0
0 1 4
4 3 0
1 3 4
10 5
3 0 5
3 1 1
1 1 4
2 1 0
1 0 2
4 5 0
3 4 5
2 0 2
3 3 0
2 4 4
10 2
0 0 3
3 2 4
3 4 2
0 1 4
0 0 0
3 4 0
1 3 2
3 0 3
3 1 0
0 4 2
10 9
4 4 2
0 1 4
0 4 4
2 3 1
2 4 4
1 4 0
1 0 3
4 1 0
0 2 3
0 4 3
10 8
3 2 1
3 3 4
3 3 2
1 1 3
2 1 2
2 0 3
4 0 1
3 2 3
1 4 1
1 2 0
10 6
0 1 4
0 1 1
4 4 1
2 3 0
0 4 0
4 2 2
0 3 0
3 3 0
2 2 4
0 0 2
10 9
2 0 2
0 0 1
0 1 1
2 1 1
2 0 1
0 1 0
0 2 2
2 0 0
2 1 0
1 2 0
10 2
4 3 3
0 3 3
0 3 2
3 1 3
0 4 3
1 2 0
3 2 4
5 4 2
5 2 1
3 0 1
10 9
3 2 0
0 4 4
0 1 5
2 3 3
4 0 1
1 1 5
0 4 3
0 2 5
5 5 5
1 1 2
10 6
2 0 2
2 1 1
1 2 1
0 0 2
0 0 1
0 0 0
1 1 0
0 1 1
1 2 2
1 0 1
10 4
5 2 4
4 1 3
2 3 5
1 2 1
1 1 5
0 5 3
0 1 2
5 0 3
5 3 2
3 3 4
10 7
2 2 1
3 2 1
3 3 2
2 1 0
1 3 3
3 3 1
2 2 0
1 0 2
3 0 3
2 3 2
10 6
1 2 0
0 1 1
2 1 1
0 0 2
2 2 2
0 2 2
2 2 0
2 2 1
1 0 2
0 1 0
10 8
2 0 0
3 3 2
1 3 2
3 2 3
2 2 2
1 1 3
0 0 0
3 0 0
3 1 1
2 3 0
10 9
2 2 4
5 3 4
5 4 4
3 0 1
1 3 3
4 1 2
5 1 0
5 4 2
1 4 5
3 5 2
10 5
0 1 2
1 2 1
2 2 1
0 1 0
1 1 0
1 1 2
2 1 0
1 2 2
2 1 2
0 0 0
10 6
4 3 3
0 4 1
2 2 1
4 3 0
4 2 2
0 3 4
0 0 1
3 3 4
0 1 4
0 2 1
10 7
1 2 0
2 1 0
3 2 3
2 0 2
2 1 1
1 0 1
2 0 0
3 3 1
2 3 2
1 0 0
10 2
2 4 4
0 0 1
2 1 2
1 2 1
3 1 2
1 1 2
3 4 3
3 4 1
1 0 4
4 4 4
10 6
1 0 1
0 0 1
1 2 0
1 0 0
2 2 1
0 2 0
0 0 2
2 0 0
0 2 2
0 1 2
10 4
2 3 1
1 2 1
2 1 2
0 1 3
0 1 1
3 0 2
2 0 2
2 2 1
0 3 2
0 3 3
10 4
4 0 2
2 1 0
2 4 4
0 1 2
5 5 0
0 3 3
5 5 3
3 3 1
2 1 1
3 5 1
10 7
0 2 3
4 5 5
4 5 1
3 4 3
3 1 5
0 3 5
2 3 3
0 5 5
0 0 1
5 1 5
10 2
0 0 2
2 1 2
3 1 2
2 2 0
1 1 1
0 1 2
1 3 0
3 1 3
3 1 0
2 0 1
10 3
2 3 0
2 1 1
2 4 4
0 1 3
3 1 1
1 3 4
3 0 4
2 4 2
1 2 4
3 0 1
10 7
5 3 3
1 2 3
2 5 2
2 4 5
2 0 1
0 2 5
4 4 5
4 3 0
5 2 1
4 5 5
10 7
0 3 3
1 1 0
3 1 2
2 1 0
1 1 3
1 0 1
2 3 3
3 2 2
3 3 0
1 2 1
10 5
1 2 3
0 2 0
2 2 0
1 1 3
2 1 3
2 3 2
3 2 2
1 0 0
2 0 1
1 2 2
10 5
1 3 1
2 3 4
1 5 1
5 5 2
0 4 5
4 5 4
5 4 1
2 1 0
5 1 4
0 5 5
10 8
1 4 2
4 4 3
2 4 0
5 4 1
1 1 2
2 1 4
5 1 3
5 0 5
2 1 0
5 2 5
10 9
0 3 0
4 2 0
1 1 1
0 4 3
0 1 0
4 0 3
0 4 1
1 1 2
1 2 2
0 0 3
10 3
0 2 2
0 1 1
0 0 0
2 0 0
2 0 2
1 2 0
1 2 1
0 0 2
2 2 0
1 0 2
10 2
1 0 1
2 3 0
3 1 3
0 1 1
3 0 0
3 2 1
0 2 0
0 3 0
0 1 2
3 1 2
10 9
2 0 0
1 3 5
4 2 1
4 5 4
5 2 3
2 2 3
5 0 2
3 4 2
3 0 4
0 3 2
10 8
3 4 5
3 2 1
0 0 3
4 1 4
3 2 3
5 0 5
5 5 4
1 3 3
5 0 0
3 1 1
10 9
1 2 2
0 0 1
2 1 2
2 2 2
1 0 2
0 2 1
2 2 0
1 1 0
0 2 0
1 0 0
10 4
2 2 5
2 5 3
1 0 3
1 5 5
4 4 4
4 2 3
4 4 1
3 2 2
1 2 0
1 4 3
10 7
4 5 0
3 4 1
1 2 2
4 3 0
0 3 1
5 3 5
3 3 1
1 4 2
4 3 3
0 2 1
10 5
0 0 0
5 1 1
1 3 0
3 3 2
5 1 5
0 0 2
2 2 3
4 5 4
0 2 5
2 2 2
10 6
1 1 0
2 2 1
1 1 1
2 0 0
1 2 1
2 2 2
0 1 1
1 0 0
0 2 2
2 1 0
10 8
4 3 3
2 0 1
4 1 4
1 4 3
3 5 5
3 5 4
5 0 0
2 4 2
4 2 1
0 5 1
10 5
3 0 3
0 0 2
1 2 2
0 3 1
1 1 3
2 1 1
3 1 1
0 0 3
0 0 0
0 2 0
10 9
3 0 1
3 3 2
0 3 1
2 0 2
2 3 1
3 2 0
0 3 0
0 3 3
3 3 3
0 1 2
10 5
4 3 3
2 2 4
2 0 4
0 2 4
3 1 2
3 2 0
1 0 0
3 3 0
1 0 1
0 1 1
10 2
2 1 1
2 0 0
1 0 1
0 0 1
2 0 2
0 2 1
2 2 1
2 2 2
0 2 2
2 1 2
10 4
3 1 3
3 1 1
4 4 1
4 3 1
2 4 0
3 3 3
0 3 4
4 0 2
3 4 3
2 1 0
10 2
5 5 5
4 0 0
5 3 3
3 2 3
4 2 4
1 5 2
1 2 0
1 2 4
5 2 0
1 4 3
10 8
2 1 3
0 1 3
3 2 2
0 0 3
2 0 2
2 3 0
1 1 3
3 2 3
2 0 1
2 0 3
10 2
1 1 2
2 1 2
2 2 2
0 2 0
1 2 0
2 2 0
1 2 1
1 0 0
2 0 1
2 2 1
10 9
0 2 2
3 0 0
0 0 0
4 4 0
2 4 1
4 2 0
4 2 4
1 2 0
0 4 2
1 2 2
10 7
1 2 2
0 2 0
0 1 2
1 1 2
0 0 1
0 2 2
0 0 2
2 1 2
1 0 0
0 0 0
10 4
2 0 0
2 1 0
1 2 1
2 1 2
0 1 2
0 0 2
2 0 2
0 2 0
2 2 2
1 1 1
10 7
5 1 0
4 5 1
3 2 1
4 5 2
1 5 3
0 3 3
2 4 1
0 3 0
2 1 2
4 0 0
10 7
1 4 2
5 3 4
4 0 3
1 2 2
1 1 1
4 5 4
2 2 0
1 3 5
4 4 0
1 3 2
10 6
1 3 0
1 0 2
3 3 0
0 1 3
1 2 0
1 1 2
1 1 1
2 1 1
3 3 3
0 1 0
10 7
0 4 1
3 1 1
2 5 0
0 5 0
3 5 0
0 3 2
3 2 1
3 5 5
5 2 0
5 1 4
10 7
3 1 0
2 0 3
4 2 3
0 1 3
0 4 1
1 4 3
1 0 1
4 4 1
4 4 2
4 0 1
10 7
2 2 0
1 0 1
0 0 2
0 2 2
1 2 0
1 0 2
2 1 2
2 0 0
0 0 1
1 2 1
10 5
2 2 0
2 2 2
2 1 0
1 1 2
1 2 1
1 0 0
2 1 1
0 0 0
1 0 1
0 2 2
10 3
1 4 4
2 2 1
1 5 5
4 4 3
1 5 2
5 5 2
1 0 3
5 5 1
0 3 5
0 2 5
10 2
4 1 0
4 4 3
3 1 2
2 1 3
1 2 3
4 0 0
1 0 3
0 1 3
4 4 4
0 3 1
10 9
0 4 5
2 3 3
4 0 4
2 2 1
0 2 1
3 0 3
4 4 1
0 2 2
2 0 1
2 1 4
10 9
3 0 1
1 3 2
4 2 2
2 1 2
4 3 4
4 0 3
0 0 4
4 4 2
1 4 1
0 3 2
10 9
5 0 2
0 0 3
2 1 4
2 3 1
2 2 0
1 5 0
0 2 4
3 0 2
5 4 3
3 2 1
10 8
0 1 1
4 1 3
3 4 2
3 1 4
2 3 2
1 3 4
0 3 4
2 0 0
4 2 0
1 4 0
10 7
1 1 3
3 0 1
4 0 4
2 3 0
0 4 3
3 4 0
4 0 0
2 4 4
4 2 2
2 3 3
10 4
0 0 2
2 1 2
2 2 0
2 0 0
2 2 1
0 0 1
2 0 1
1 0 0
0 0 0
2 2 2
10 4
4 1 0
2 3 5
1 3 3
2 3 1
4 1 4
1 4 5
4 5 0
1 5 3
0 1 1
5 2 0
10 7
1 1 2
1 3 1
2 2 2
3 3 1
1 1 3
2 2 1
3 2 1
1 2 1
0 3 0
3 1 0
10 6
1 4 2
1 1 0
3 1 0
3 4 4
2 2 1
3 3 4
0 3 4
4 1 2
0 4 0
3 3 2
10 4
0 1 4
3 0 1
3 4 5
1 4 2
4 1 3
3 1 3
5 2 0
5 0 3
1 0 3
2 0 1
10 7
0 4 0
1 1 4
1 1 3
5 3 0
5 3 5
0 5 5
2 2 4
4 3 4
5 5 4
1 1 1
10 6
2 0 3
3 2 3
5 3 5
0 0 5
3 3 2
2 5 2
3 1 5
3 4 2
4 5 0
0 5 5
10 3
4 1 2
1 2 1
4 3 1
3 1 2
4 0 2
3 1 3
0 0 0
4 2 2
2 4 4
3 2 2
10 7
1 0 0
2 0 0
1 0 1
2 2 1
2 0 2
1 1 2
0 2 0
1 0 2
0 2 2
0 1 2
10 3
0 2 2
1 2 2
2 1 1
1 1 2
0 2 0
1 1 0
2 2 2
0 1 1
1 0 1
1 2 1
10 4
4 0 1
4 1 1
4 1 2
4 3 0
4 1 3
0 0 1
4 1 4
0 4 2
1 1 0
2 3 2
10 2
2 0 2
0 1 2
2 2 2
1 0 1
0 1 1
0 2 0
0 1 0
1 2 0
0 0 1
1 2 1
10 3
1 0 0
3 5 4
5 0 1
3 3 3
2 4 2
3 0 4
3 3 0
0 5 4
4 4 0
4 2 1
10 8
2 1 2
1 2 2
1 2 0
1 1 1
0 2 2
0 0 1
0 1 2
2 0 2
2 0 1
0 1 1
10 9
4 0 4
0 5 0
0 3 0
2 5 1
4 4 5
3 3 1
0 0 4
5 1 3
0 0 1
2 3 1
10 6
2 2 2
2 0 0
2 1 1
2 0 2
0 1 2
0 2 1
2 2 0
0 0 0
2 0 1
0 1 0
10 8
2 2 0
0 0 2
1 2 0
1 0 2
1 2 2
2 0 0
2 0 1
2 2 2
1 1 2
2 2 1
10 5
3 0 0
0 5 0
3 1 4
5 0 4
3 1 5
1 0 4
3 3 5
1 5 3
4 4 2
4 5 1
10 8
1 0 2
0 3 0
1 2 0
0 3 1
0 3 2
2 1 1
1 1 1
2 1 0
1 1 2
1 3 2
10 9
2 2 0
1 0 0
1 1 2
2 1 1
2 0 0
1 2 2
1 0 1
0 2 0
0 1 1
0 1 0
10 4
3 2 3
4 2 0
3 1 5
2 0 0
1 1 1
0 2 5
1 0 0
4 3 1
1 5 5
1 2 2
10 4
3 2 1
1 3 2
1 2 0
3 4 4
2 1 2
2 4 3
3 3 3
2 3 2
2 3 1
1 1 4
10 7
0 1 3
1 3 0
0 3 0
2 3 2
0 2 2
3 0 1
1 3 3
0 1 1
0 1 2
3 3 2
10 8
2 1 3
1 2 0
0 2 1
2 2 3
3 1 2
1 3 2
0 1 0
3 3 0
2 3 3
2 1 0
10 8
5 3 5
3 5 4
5 5 0
4 5 2
2 1 0
1 2 3
1 5 4
5 2 2
0 0 5
5 2 4
10 2
0 3 5
3 3 4
5 5 1
3 2 2
1 5 2
4 1 5
1 4 2
4 1 1
4 4 0
4 5 5
10 3
1 2 3
1 0 4
4 0 0
1 1 3
4 1 0
2 0 4
4 0 4
4 4 3
2 3 4
2 1 1
10 3
2 0 0
0 1 0
1 1 2
0 2 0
0 0 1
2 1 2
0 2 2
1 0 0
1 2 1
2 2 1
10 6
0 3 0
2 1 2
2 0 4
1 1 2
4 4 2
0 1 2
2 2 0
2 0 1
1 4 0
3 0 1
10 7
4 1 3
3 5 3
3 1 1
5 4 0
2 4 1
2 1 3
2 3 4
5 4 2
1 2 0
2 1 0
10 4
3 3 3
4 0 3
0 4 1
3 0 3
3 4 1
2 1 4
1 2 1
3 2 2
3 1 0
1 3 4
10 2
3 3 2
2 3 1
0 0 1
3 2 0
0 0 3
3 0 2
2 0 0
2 3 2
1 0 2
1 3 2
10 2
1 2 2
2 0 0
0 2 0
2 2 2
1 0 1
2 1 1
2 0 2
2 0 1
0 0 1
0 2 1
10 6
0 3 2
4 3 3
2 1 1
3 2 3
2 2 1
3 1 1
2 4 3
0 1 1
1 0 0
3 0 3
10 4
0 1 0
4 3 1
2 1 0
4 0 3
0 1 2
4 3 0
0 0 1
0 4 3
3 1 1
0 3 3
10 8
1 4 2
3 4 1
0 0 1
2 4 1
4 2 1
4 4 2
3 4 2
0 3 0
4 2 0
1 0 1
10 5
5 4 0
3 5 4
0 5 0
5 5 0
5 4 1
4 5 1
4 2 5
2 4 2
3 5 0
2 0 4
10 3
1 5 2
2 2 3
1 4 3
0 5 1
2 4 0
0 2 2
5 3 0
4 2 3
4 5 5
1 4 0
10 3
1 0 2
2 1 3
1 0 0
3 0 2
3 3 2
0 2 0
2 0 2
2 2 0
3 2 2
1 1 0
10 7
0 2 0
1 1 1
2 2 0
1 2 2
0 2 1
0 2 2
0 0 0
1 2 1
1 1 2
2 1 0
10 2
2 1 1
2 1 0
0 0 1
0 2 2
1 0 0
0 1 0
2 2 1
1 2 2
0 1 1
2 2 2
10 8
4 1 4
0 2 2
0 0 2
0 1 0
1 1 0
0 0 3
0 1 1
0 2 4
1 4 4
4 0 2
10 8
3 1 3
3 0 3
0 0 2
0 0 1
2 3 3
3 3 2
2 2 1
1 0 1
3 1 0
0 3 3
10 5
1 0 5
0 2 4
2 5 5
4 1 0
0 1 5
5 5 0
5 4 2
3 0 2
3 5 4
3 4 2
10 2
0 0 1
2 2 1
2 3 0
3 1 3
1 2 3
2 0 0
1 0 1
1 0 0
1 3 2
1 0 2
10 2
1 1 2
2 1 0
0 2 0
0 2 2
1 1 0
2 0 0
0 1 2
0 0 1
1 0 0
0 2 1
10 8
0 0 2
0 1 2
0 2 0
0 1 0
0 0 1
1 0 1
2 0 0
0 0 0
1 1 2
1 2 0
10 8
2 2 0
3 0 4
1 3 4
0 4 3
1 1 2
0 3 1
1 4 3
2 1 1
0 1 3
3 3 3
10 8
2 1 3
3 2 0
2 3 2
3 0 3
2 4 2
1 0 3
0 3 3
4 3 3
1 3 4
1 0 1
10 6
1 1 2
3 3 1
1 0 1
4 3 3
1 1 1
2 4 0
3 4 4
2 0 0
2 4 2
0 4 3
10 5
2 0 0
0 2 0
3 0 1
1 2 3
0 2 2
0 0 1
1 3 1
0 0 3
0 1 2
3 0 2
10 6
1 2 2
2 1 0
1 1 2
1 0 2
2 2 0
0 0 0
0 2 2
0 0 2
0 2 0
2 1 2
10 9
1 4 0
2 4 4
1 1 2
1 1 1
4 0 1
1 0 3
3 4 2
0 0 0
3 4 0
1 2 0
10 7
4 4 3
0 0 0
2 1 1
0 4 3
2 4 3
0 2 4
1 3 3
0 2 3
1 0 0
0 2 0
10 8
2 2 0
3 2 1
1 0 1
2 3 3
3 1 0
0 0 3
1 1 0
1 3 2
3 3 1
0 0 0
10 2
2 1 3
1 2 1
0 2 0
1 0 1
3 2 3
0 2 1
3 0 3
3 0 2
1 1 0
1 2 3
10 3
2 0 5
0 4 3
5 2 5
0 2 1
4 4 3
5 5 5
5 0 5
3 2 0
5 2 0
5 5 3
10 9
3 2 0
2 0 2
3 1 2
4 2 4
1 2 3
2 0 4
1 0 0
2 3 0
4 2 1
2 3 4
10 8
4 3 2
1 3 1
2 5 2
3 5 2
2 5 1
2 2 5
0 4 5
2 1 0
3 4 2
1 3 5
10 3
1 1 0
2 0 0
1 2 2
2 0 1
2 2 2
2 1 0
2 2 0
0 1 2
1 0 2
1 2 0
10 7
0 2 0
0 0 0
1 1 2
0 1 2
2 0 0
2 1 2
1 1 1
0 1 1
2 2 0
1 2 2
10 4
0 2 2
2 1 3
0 0 1
1 3 1
3 0 3
2 0 0
0 3 0
3 3 2
1 2 0
2 2 3
10 4
1 0 0
1 2 3
3 3 2
3 1 1
0 2 3
2 3 2
0 2 2
3 1 2
1 2 2
3 3 0
10 7
1 2 1
3 1 3
4 0 0
3 3 1
1 0 3
2 0 0
2 1 4
4 3 4
3 1 0
0 1 3
10 7
3 0 3
0 4 2
4 3 1
0 4 1
0 0 2
2 0 4
3 4 3
3 2 2
4 2 2
1 2 2
10 2
5 0 0
5 3 3
4 1 1
0 4 4
5 5 3
4 1 5
2 4 0
3 4 0
5 5 1
0 1 0
10 6
2 0 2
1 2 3
2 1 2
3 1 0
0 2 2
3 1 1
1 3 0
2 3 2
3 0 3
2 3 0
10 2
2 2 2
1 2 2
1 3 0
0 2 1
1 1 3
2 1 1
1 1 1
0 1 3
0 0 0
0 2 0
10 9
0 0 1
2 2 3
3 4 3
0 3 0
4 1 0
3 1 0
0 0 0
2 2 0
4 4 3
3 1 1
10 5
1 2 3
2 3 2
3 1 3
1 1 1
0 0 3
3 1 0
3 0 1
2 2 0
1 1 2
3 2 3
10 6
3 3 5
4 4 1
4 1 1
3 3 4
2 3 4
5 3 2
4 4 2
5 1 4
5 2 1
1 5 2
10 3
0 0 2
1 2 3
1 1 1
3 2 2
2 2 2
0 2 2
2 3 2
2 3 3
3 2 1
0 1 1
10 5
1 0 2
0 2 0
0 2 1
2 3 0
1 3 0
1 0 3
1 0 0
1 1 3
0 1 2
3 2 2
10 6
2 2 3
0 2 0
3 0 0
1 0 3
3 1 3
0 1 0
0 1 3
2 2 2
0 0 3
3 2 1
10 3
2 1 1
0 2 2
1 2 0
1 0 0
0 1 1
1 1 2
1 1 0
2 1 2
0 1 0
1 2 2
10 7
4 4 2
0 3 2
0 3 5
4 4 5
2 4 4
2 1 4
0 2 3
1 4 2
4 1 4
0 4 5
10 5
2 0 0
0 2 2
2 0 2
2 1 0
2 2 1
1 1 1
0 2 1
1 1 2
0 1 2
1 0 1
10 8
0 4 5
3 5 4
0 1 2
5 3 3
0 1 4
4 0 4
5 2 5
1 4 2
0 2 3
2 1 4
10 8
2 0 3
0 1 1
3 0 2
3 1 2
0 3 2
0 3 3
1 3 0
1 2 0
0 1 0
1 3 1
10 9
2 1 1
2 1 0
2 2 2
2 0 1
0 2 2
0 0 0
2 1 2
1 1 2
2 2 1
0 2 1
10 4
4 4 2
2 1 5
2 0 3
5 1 5
3 2 3
3 5 4
3 3 1
4 1 4
1 5 4
5 1 0
10 9
1 1 0
0 2 1
1 1 1
1 2 1
2 0 1
2 0 0
0 1 0
0 1 1
2 1 0
1 2 0
10 2
2 1 1
1 2 0
4 5 2
1 3 1
1 1 2
5 5 0
1 0 2
0 1 0
0 2 3
2 2 4
10 9
0 2 0
1 1 1
1 0 2
0 1 1
2 2 2
2 0 1
1 1 2
2 0 0
1 2 0
0 1 0
10 8
2 1 1
1 0 0
0 2 0
0 0 2
1 2 2
1 1 1
1 1 0
2 1 0
2 1 2
0 2 2
10 6
1 4 2
5 1 5
4 1 2
1 0 5
5 0 2
3 5 5
2 0 2
5 1 4
3 4 0
4 4 0
10 8
1 3 2
0 4 0
2 2 3
4 2 0
2 3 4
1 1 1
1 2 4
3 2 3
3 3 2
0 0 3
10 8
1 2 0
4 4 0
5 5 0
5 5 4
5 4 0
0 2 3
2 0 2
0 2 2
4 2 3
5 2 1
10 6
0 5 4
2 2 0
1 2 4
3 0 5
1 4 0
4 2 5
0 1 0
1 1 1
1 0 2
1 3 0
10 5
5 1 3
3 4 2
0 1 3
5 0 0
1 5 0
2 4 4
1 1 5
5 3 2
5 2 5
0 0 4
10 5
0 2 1
1 1 1
0 0 2
2 0 0
0 0 1
1 1 2
0 1 2
2 0 2
0 0 0
1 0 0
10 3
1 2 1
1 1 0
1 3 1
1 0 1
0 3 3
1 0 0
1 3 0
2 0 0
3 3 3
2 2 1
10 2
1 0 0
0 1 2
0 1 0
1 0 2
2 1 0
2 0 0
2 1 1
0 2 2
2 2 1
1 1 2
10 4
0 4 4
0 3 0
2 0 0
2 4 1
1 2 4
2 1 4
4 4 2
1 1 4
3 2 3
2 2 1
10 5
3 1 1
2 4 0
4 0 5
1 0 4
4 0 2
1 4 4
4 2 0
0 3 1
4 1 2
1 2 0
10 7
1 0 5
4 2 1
0 2 2
1 1 1
0 0 1
0 5 1
2 2 3
2 0 3
1 2 3
5 5 2
10 2
2 1 0
2 0 0
3 2 3
1 2 0
2 2 3
1 1 1
3 2 2
0 3 1
1 0 0
2 2 1
10 2
1 1 2
1 1 0
2 1 0
0 1 1
1 0 2
2 1 1
0 2 1
1 1 1
0 2 2
2 1 2
10 8
2 2 2
2 1 2
1 2 2
4 1 4
4 4 2
3 0 1
2 0 1
1 0 4
2 2 0
1 3 2
10 6
3 1 0
1 2 2
3 2 0
3 2 3
0 1 2
1 3 0
3 0 0
0 2 1
1 3 1
3 3 3
10 9
3 1 2
1 2 0
0 4 2
0 4 4
1 1 0
3 4 1
1 1 3
1 0 1
0 0 0
1 4 2
10 4
4 4 1
4 4 3
0 2 2
0 1 4
0 4 2
1 3 4
2 0 4
2 3 1
3 0 0
1 4 1
10 6
4 2 3
1 5 5
0 2 2
4 0 5
0 1 0
1 4 0
5 4 2
0 5 4
3 2 5
1 0 2
10 6
0 2 0
2 0 0
1 0 1
0 2 2
1 2 0
0 1 1
1 2 2
2 0 2
0 0 0
0 1 0
10 6
3 4 1
4 1 5
2 0 5
2 0 2
5 2 5
5 1 5
3 3 0
1 5 5
1 3 5
3 0 4
10 8
2 2 2
3 1 2
2 1 2
2 3 0
2 2 3
3 2 2
0 0 3
1 0 0
0 2 2
1 2 1
10 8
1 1 0
0 0 0
1 3 0
0 1 1
1 1 2
0 2 2
2 1 1
3 1 0
2 0 1
2 2 1
10 7
3 3 0
3 1 1
3 2 0
2 4 3
1 4 4
3 0 4
1 0 2
2 4 2
2 0 0
2 3 3
10 2
1 3 2
1 3 3
2 3 2
2 3 1
0 0 0
1 2 3
1 2 2
3 3 1
1 0 0
1 0 1
10 9
3 0 1
2 3 4
0 0 3
1 1 2
1 4 1
0 4 0
3 2 2
2 2 0
3 4 3
3 2 1
10 5
0 0 0
1 2 0
0 2 2
1 1 0
1 2 1
2 2 0
2 2 1
2 0 2
1 0 1
2 2 2
10 4
1 2 0
5 4 1
5 0 4
0 3 0
2 0 4
1 3 0
0 2 5
1 1 2
4 4 0
3 0 3
10 3
2 2 2
1 2 1
3 1 3
0 3 3
0 3 0
3 0 1
2 1 1
1 1 2
3 1 1
1 2 3
10 8
3 4 3
3 2 4
1 5 5
4 0 2
3 5 2
2 5 3
0 4 0
2 4 2
0 3 5
5 1 3
10 8
0 0 1
1 1 2
0 2 0
1 0 1
0 0 0
2 1 0
0 2 1
0 1 0
1 1 1
0 2 2
10 9
2 0 1
5 5 1
5 0 1
5 3 3
0 3 5
2 5 1
1 1 2
4 0 1
2 3 1
1 4 3
10 2
5 4 1
1 2 0
4 0 5
0 1 1
0 4 4
2 4 3
0 3 3
3 0 3
2 3 3
1 5 2
10 2
0 0 0
0 0 1
1 2 3
1 3 3
3 1 1
3 2 3
2 1 2
3 2 1
2 0 1
3 1 2
10 6
4 4 3
0 1 3
2 4 4
0 3 5
5 4 4
3 3 4
1 1 4
3 3 5
5 0 4
5 4 0
10 4
2 1 2
1 2 1
2 2 2
1 0 1
0 2 0
0 1 1
2 0 2
1 1 0
0 0 0
1 0 2
10 9
4 3 5
3 0 2
2 5 0
0 0 1
4 1 0
0 2 5
5 4 2
5 5 0
5 2 3
0 0 2
10 7
3 0 3
2 2 0
3 2 0
2 3 2
2 0 0
3 2 1
2 0 1
1 3 1
1 0 0
0 1 2
10 8
2 3 3
1 1 2
3 1 1
1 4 3
3 3 0
1 2 0
2 4 1
1 2 2
0 2 2
1 1 0
10 8
2 1 3
1 1 0
0 1 1
2 3 1
1 1 1
1 2 2
1 2 0
2 3 3
3 1 3
0 3 3
10 4
5 0 0
0 4 4
4 3 0
2 5 1
5 3 4
3 1 4
3 2 5
0 3 1
1 1 5
4 1 1
10 4
1 2 1
2 2 1
3 3 2
2 1 2
2 0 1
2 0 0
1 3 1
0 0 1
2 2 2
1 1 2
10 2
1 1 1
3 1 2
0 3 3
0 0 2
0 0 0
3 2 2
1 3 3
3 3 0
0 2 2
1 3 1
10 7
0 3 0
1 4 1
5 4 5
1 5 0
1 1 2
1 1 5
0 3 2
1 2 2
1 5 5
2 2 2
10 8
2 0 1
2 0 0
0 1 0
2 1 0
1 0 1
2 1 1
0 0 1
0 0 0
2 2 0
1 0 2
10 2
1 2 2
3 0 2
1 4 4
1 1 2
3 4 2
1 3 4
2 2 0
4 3 4
1 0 1
4 0 3
10 2
2 2 1
0 2 1
2 0 2
1 1 1
0 1 2
1 1 0
1 0 2
0 0 0
2 1 0
0 0 1
10 4
2 1 2
2 4 0
3 4 1
1 2 2
4 0 0
3 2 4
0 1 0
1 4 4
3 0 2
1 1 0
10 7
3 3 2
3 2 5
2 5 0
1 3 1
3 0 0
3 0 4
2 2 2
0 1 2
0 0 4
2 1 0
10 5
0 2 0
2 1 1
2 2 0
2 0 0
3 3 0
1 3 1
3 0 3
1 2 2
1 3 3
2 3 3
10 7
3 1 0
0 0 4
1 1 0
1 1 2
2 2 4
2 4 1
2 4 2
3 3 0
2 1 3
0 4 2
10 8
4 4 4
1 1 3
2 2 1
0 2 0
2 3 3
2 3 0
3 2 0
2 1 1
1 3 4
2 4 0
10 6
1 1 2
0 1 0
1 0 1
2 2 2
2 1 0
2 0 0
0 1 2
1 0 2
2 0 2
0 2 0
10 3
2 1 2
0 0 3
3 1 0
1 4 1
0 0 2
1 4 3
2 3 2
4 1 4
1 3 2
2 4 3
10 9
0 0 2
2 3 1
3 4 0
2 3 2
3 1 2
4 4 0
3 4 4
4 1 4
1 1 3
1 3 0
10 7
2 0 1
2 1 2
0 2 1
0 1 1
0 1 0
1 0 2
0 2 2
1 2 0
0 1 2
1 2 2
10 4
1 0 0
3 0 1
2 3 0
3 3 1
2 0 2
1 0 2
1 1 1
1 1 2
0 3 2
2 3 1
10 8
3 2 1
3 3 3
3 0 3
1 0 2
0 0 2
0 0 3
2 3 2
0 2 2
1 1 3
3 1 3
10 4
1 5 3
1 3 1
5 3 0
5 3 4
2 0 0
3 5 1
3 4 0
1 1 2
0 1 4
2 4 1
10 7
3 0 3
2 1 1
3 1 2
0 1 2
4 2 1
1 4 4
2 4 0
2 4 1
4 4 4
2 0 1
10 3
1 1 1
3 3 0
4 3 1
0 2 4
4 0 0
3 0 0
0 3 0
3 0 3
1 4 3
1 1 0
10 4
1 2 1
3 3 0
3 1 0
3 2 3
1 4 4
3 4 3
2 3 3
3 4 2
4 4 3
0 2 2
10 5
2 0 3
0 0 1
3 2 2
3 0 2
2 0 0
2 3 0
3 2 0
0 3 3
3 2 1
0 1 0
10 3
5 0 5
0 1 3
5 0 4
2 5 5
0 2 4
0 5 1
4 2 2
5 2 3
0 5 5
3 5 3
10 7
0 3 1
2 3 2
3 3 3
3 0 2
3 2 1
1 4 1
4 4 3
3 0 1
0 1 3
0 0 2
10 7
2 1 4
3 3 4
2 3 1
0 4 2
2 3 3
3 0 2
2 1 3
2 3 4
4 4 2
4 0 4
10 3
4 3 0
0 2 3
0 1 1
5 5 1
3 2 2
3 0 1
4 5 5
1 5 3
0 2 4
3 1 1
10 7
1 3 3
3 1 3
3 2 0
1 3 2
1 2 1
0 2 2
0 2 0
3 0 2
1 1 0
1 3 0
10 4
5 1 4
2 5 0
2 5 2
2 1 0
2 2 4
1 3 0
5 5 0
2 3 1
0 4 5
4 1 2
10 2
0 2 3
1 0 3
2 2 3
2 1 0
0 2 2
2 3 1
3 3 1
0 3 3
0 3 2
3 0 3
10 4
0 0 3
3 0 2
2 3 0
3 3 1
0 3 1
1 0 1
2 2 1
2 1 3
2 2 3
3 3 2
10 6
2 3 1
0 1 1
2 1 2
0 3 2
1 1 2
0 2 2
0 3 3
2 0 0
1 2 3
0 2 3
10 3
4 5 0
5 0 5
2 0 5
3 1 2
3 3 1
2 2 0
5 1 2
1 4 5
0 5 3
0 3 5
10 4
1 3 5
2 0 0
0 3 2
5 4 1
2 4 0
0 3 0
4 4 5
5 4 4
2 2 4
3 1 3
10 6
2 1 1
0 2 0
1 1 1
0 0 1
5 0 5
5 2 3
4 4 1
4 1 5
4 0 0
1 1 4
10 4
3 0 0
1 0 3
1 1 0
1 2 1
3 3 1
1 0 1
1 0 2
1 1 1
0 3 3
0 2 3
10 7
1 2 1
0 2 0
0 2 3
2 0 3
2 2 0
0 0 1
3 0 1
2 2 1
2 2 3
1 1 0
10 9
2 1 1
3 4 4
0 3 0
0 0 1
4 3 3
0 3 1
4 4 0
4 1 0
1 4 2
1 4 4
10 2
0 0 1
2 2 0
2 3 3
2 2 1
1 1 0
1 3 1
1 0 2
3 1 3
1 3 3
0 1 2
10 4
4 5 5
0 1 0
3 2 1
3 1 3
2 3 1
5 2 2
2 1 0
0 4 3
2 3 4
4 0 2
10 5
1 1 1
1 2 0
0 0 0
0 0 1
1 1 2
2 2 0
2 0 1
0 2 0
2 0 2
1 0 2
10 3
0 3 2
1 1 2
2 3 1
3 0 1
2 1 3
0 0 0
1 1 1
2 0 3
2 2 1
3 0 3
10 4
1 0 2
0 2 0
0 0 0
2 0 1
1 0 0
2 1 0
2 0 2
1 0 1
0 2 1
0 1 2
10 8
5 5 0
2 2 1
1 3 0
0 5 1
2 4 4
0 1 3
4 3 4
5 0 2
1 3 5
3 2 0
10 5
2 2 2
3 3 0
3 2 0
0 3 0
4 1 1
0 4 1
2 1 3
2 2 0
4 1 3
1 3 4
10 5
4 0 3
3 0 1
2 3 2
2 4 0
4 2 4
3 4 4
3 2 1
4 2 1
3 3 2
4 2 2
10 5
0 2 2
0 2 0
0 0 1
2 0 1
2 1 0
2 2 0
0 2 1
1 1 2
1 0 1
1 0 2
10 2
5 1 1
4 2 5
5 0 3
3 0 0
1 3 4
3 3 3
3 4 2
0 3 3
2 5 3
4 3 5
10 5
1 3 2
0 1 1
1 1 0
0 3 1
2 3 3
2 1 1
1 1 3
0 2 1
1 2 3
1 3 3
10 6
3 2 0
3 3 0
2 3 2
2 2 3
0 0 1
3 0 1
2 1 0
0 1 3
0 2 2
1 1 2
10 7
0 1 0
0 0 2
1 2 2
1 2 1
1 1 2
0 0 1
2 1 2
1 0 1
0 1 2
0 2 2
10 5
2 1 0
3 2 0
0 2 2
3 1 2
3 2 2
2 0 1
3 0 3
3 2 3
1 2 3
2 1 3
10 9
2 2 0
1 0 1
2 1 1
0 0 2
1 1 0
2 2 1
2 2 2
0 2 0
0 1 1
2 1 2
10 4
0 1 1
0 0 1
2 0 1
2 1 1
1 1 0
2 0 2
1 2 0
2 0 0
0 2 2
0 0 2
10 4
3 2 0
3 2 1
1 1 2
0 3 2
1 2 1
1 3 2
0 2 2
1 3 3
2 0 3
1 0 2
10 3
2 1 1
0 2 1
1 1 2
0 1 1
2 2 1
0 1 0
1 0 2
2 0 0
0 2 2
0 1 2
10 7
0 0 1
4 2 2
1 1 4
2 4 4
4 4 3
0 1 1
1 1 3
3 1 0
3 4 1
4 0 4
10 2
4 3 3
1 4 4
1 3 3
4 4 4
0 3 4
2 1 2
1 3 4
1 4 0
3 3 4
3 2 0
10 4
3 2 5
0 4 1
5 0 3
3 0 0
4 5 1
0 2 4
5 0 1
3 3 2
5 5 2
1 2 3
10 2
3 3 2
3 2 0
1 3 0
2 3 3
2 1 1
1 0 0
3 1 2
3 3 3
3 1 1
1 1 3
10 3
0 0 2
2 0 0
1 2 2
0 1 1
1 0 1
1 1 1
2 2 2
0 2 1
2 1 1
1 1 0
10 9
3 1 0
1 3 1
4 0 0
2 5 0
2 3 1
3 3 3
5 0 3
4 3 4
5 4 1
2 0 0
10 4
1 1 2
0 0 2
2 2 2
0 0 1
2 1 0
2 1 2
1 1 1
0 1 0
1 2 0
0 1 2
10 7
0 0 1
0 0 0
2 0 0
1 2 0
2 1 0
1 1 1
0 2 1
0 1 2
2 2 0
2 0 1
10 6
4 2 5
2 1 2
0 3 1
1 3 4
5 4 0
4 5 5
0 4 3
3 5 1
3 1 0
3 5 2
10 9
4 0 1
2 4 0
1 3 3
4 1 1
0 0 0
0 4 4
0 2 1
1 4 1
1 3 0
2 1 0
10 2
0 0 0
3 2 2
2 1 0
3 1 0
3 3 3
3 0 0
3 3 1
2 0 1
1 3 3
0 0 1
10 5
3 0 1
1 1 1
4 1 1
4 3 2
4 3 0
4 4 0
3 2 1
3 3 2
2 3 3
0 1 2
10 3
0 2 0
2 1 0
3 3 2
3 2 2
1 2 2
0 3 3
3 1 0
0 3 1
1 0 3
2 0 0
10 7
2 0 1
2 1 2
1 1 2
1 2 0
0 0 1
2 2 0
2 0 0
1 0 0
2 1 1
0 2 0
10 8
3 5 4
0 3 2
3 0 2
3 3 4
2 2 0
4 2 0
0 2 5
5 1 5
1 3 3
0 4 3
10 8
1 1 0
4 3 0
1 3 0
3 4 3
4 4 1
2 0 0
0 3 2
0 0 2
2 1 2
1 1 2
10 3
4 2 3
4 3 2
3 3 1
3 3 2
0 0 1
4 1 3
0 4 3
3 2 1
0 4 1
1 3 1
10 2
2 0 0
1 1 2
1 0 2
0 1 0
2 2 0
0 0 2
2 1 1
2 1 0
0 0 1
0 2 0
10 3
0 0 4
5 5 4
1 4 4
1 4 3
3 2 2
2 2 2
0 0 1
3 1 2
3 1 0
5 2 2
10 7
2 3 4
4 1 2
3 2 2
2 3 2
2 4 2
4 4 1
0 4 2
0 0 1
2 2 3
4 3 2
10 6
3 3 2
0 0 0
0 1 3
2 3 1
2 3 0
3 1 0
2 1 2
3 2 2
1 1 2
3 1 2
10 7
4 0 3
1 3 5
5 3 3
1 5 4
5 1 5
3 3 5
5 5 4
2 4 0
1 0 1
2 5 5
10 9
1 4 3
1 2 3
3 4 4
2 0 2
2 3 4
4 4 1
1 1 0
3 4 1
2 2 4
1 1 4
10 5
0 2 1
3 1 3
0 3 3
2 0 2
3 0 2
2 2 1
0 3 1
2 0 3
2 3 1
1 0 1
10 3
1 4 1
3 0 2
1 4 0
2 1 1
0 4 3
3 0 3
2 3 0
2 0 4
0 1 4
3 2 0
10 8
1 0 1
0 1 3
0 2 1
0 4 2
4 1 0
0 3 4
3 2 4
1 2 0
2 0 2
4 3 2
10 5
3 1 3
1 1 0
2 3 2
2 1 1
2 2 3
3 3 3
1 1 3
2 1 0
2 3 0
0 2 2
10 3
2 2 3
3 1 3
3 3 0
2 1 3
0 1 0
2 0 2
3 2 2
1 0 0
2 1 1
3 3 1
10 7
1 2 2
1 0 0
0 2 0
1 0 1
2 0 2
0 1 2
1 0 2
0 2 2
2 1 0
2 2 2
10 7
1 0 1
1 1 0
2 1 1
2 1 2
2 2 0
0 1 1
0 2 2
1 0 2
0 0 1
1 1 2
10 3
4 3 2
1 4 4
4 3 1
0 4 3
4 4 1
0 1 4
2 3 0
2 1 2
2 0 0
2 2 1
10 8
1 1 1
0 3 2
1 0 4
1 4 2
3 2 0
1 1 4
2 3 1
3 1 4
1 2 0
0 3 3
10 5
0 0 2
2 0 0
1 0 0
0 1 2
2 2 0
1 2 0
2 0 1
2 1 0
2 2 2
1 0 2
10 8
2 0 0
1 2 1
0 1 2
1 2 2
2 2 1
0 1 1
2 1 2
0 2 1
2 0 2
2 1 1
10 2
2 1 0
3 0 2
2 2 3
1 1 0
0 2 1
3 1 0
0 3 0
1 0 1
2 0 1
2 3 1
10 7
1 0 1
1 4 1
3 0 3
3 4 1
0 3 0
4 2 1
0 4 1
1 2 3
2 3 4
3 2 4
10 2
1 0 2
0 1 2
0 2 2
2 0 1
0 1 1
1 2 1
1 0 1
2 1 0
2 2 0
2 2 1
10 7
5 5 3
0 2 1
4 2 3
3 4 1
1 2 4
3 3 4
0 0 3
2 3 3
5 3 0
5 5 5
10 4
4 3 3
5 5 0
4 2 5
1 3 3
0 3 3
1 5 5
3 0 2
5 5 1
4 2 0
5 5 3
10 7
4 1 4
5 4 5
4 4 1
4 5 2
3 3 1
4 1 0
2 3 4
0 3 3
2 1 3
2 0 5
10 9
5 3 5
2 0 1
2 3 4
3 4 0
0 0 3
2 2 3
1 0 5
0 2 5
4 3 5
1 3 1
10 3
2 2 0
2 0 2
0 2 1
0 1 1
0 0 2
2 2 2
2 1 1
2 0 0
1 1 0
1 2 0
10 2
3 2 4
0 1 1
3 3 0
0 5 4
0 2 1
4 1 5
5 1 4
4 2 2
4 5 0
5 2 1
10 9
2 0 1
2 5 0
2 5 2
5 2 1
2 0 3
3 4 5
2 1 1
1 3 5
4 5 1
1 2 2
10 6
1 2 0
2 2 2
0 0 2
1 0 3
0 2 1
1 3 0
2 0 3
0 2 2
3 3 0
1 2 3
10 9
2 0 2
1 1 2
2 1 2
1 0 2
0 0 0
1 1 0
1 2 1
2 0 0
1 2 2
1 0 1
10 2
4 0 2
1 4 3
2 1 3
3 1 2
0 3 4
3 4 3
0 1 3
2 4 3
3 3 2
4 3 3
10 5
1 1 2
3 4 0
1 2 4
0 3 0
0 1 4
0 4 1
3 3 0
4 0 4
4 4 0
2 2 2
10 2
1 2 2
1 0 1
2 1 1
0 2 2
2 0 0
0 2 1
1 0 2
1 1 2
2 1 2
1 0 0
10 2
0 3 0
2 3 2
3 4 3
1 4 3
1 4 2
3 2 3
1 2 2
1 2 0
4 2 4
1 0 4
10 2
3 0 1
4 1 0
1 4 4
3 2 1
2 1 3
3 1 4
3 3 2
3 2 2
4 3 2
2 3 2
10 8
1 2 0
1 3 2
2 1 2
2 2 0
0 3 1
4 0 0
1 3 4
2 1 4
0 2 2
3 4 4
10 3
3 5 3
4 2 4
1 1 5
0 0 5
0 1 1
3 5 2
2 0 1
3 3 0
4 2 0
3 1 2
10 8
2 2 1
0 1 3
1 2 2
2 1 3
0 3 3
1 1 3
0 3 2
2 1 1
3 2 0
1 3 3
10 2
1 2 1
1 3 1
1 1 2
3 1 2
4 4 4
4 2 4
0 0 0
0 4 0
3 1 3
4 0 2
10 3
2 3 0
0 4 2
1 1 0
3 2 2
2 2 2
2 3 4
2 1 4
0 4 4
2 1 2
2 0 2
10 2
2 1 3
4 1 0
2 3 2
0 4 1
2 2 1
1 0 3
3 4 0
0 2 4
4 0 2
4 0 0
10 3
1 3 4
3 0 2
2 4 1
4 1 1
0 0 0
1 0 2
2 1 3
2 1 5
0 2 0
2 4 0
10 7
1 0 1
5 5 1
1 4 3
5 1 2
0 0 5
0 1 0
3 1 5
1 1 0
0 4 2
1 0 3
10 3
2 2 1
3 3 0
2 1 2
4 4 0
5 4 0
3 1 3
2 1 0
0 2 0
2 0 0
3 0 1
10 3
5 0 2
2 5 2
5 3 4
2 2 3
5 1 2
3 2 5
0 1 2
3 5 2
1 3 0
5 5 3
10 2
0 3 5
0 0 3
5 4 5
1 5 1
3 0 1
2 4 3
4 4 4
4 1 3
4 3 5
0 0 1
10 6
0 2 1
2 1 1
1 3 3
3 1 0
4 1 0
2 4 3
0 0 2
4 2 4
4 0 2
1 1 1
10 7
1 2 1
5 5 5
1 1 0
0 3 3
4 2 1
1 5 5
3 1 0
3 3 2
2 2 2
3 4 3
10 7
0 0 5
3 0 4
1 1 5
0 2 1
5 5 4
4 4 1
4 0 2
1 1 1
3 4 5
4 2 0
10 4
1 1 3
0 0 1
3 3 4
2 1 3
2 3 3
0 3 3
4 4 1
4 0 3
2 0 0
3 0 3
10 4
4 2 1
1 3 4
1 2 0
4 4 2
1 0 2
3 3 2
0 4 3
4 2 0
2 1 3
3 3 4
10 7
1 5 3
2 5 0
4 0 4
1 2 4
5 2 3
1 0 2
1 0 4
4 3 2
0 2 2
0 0 5
10 5
0 0 3
1 3 3
2 0 1
3 1 2
3 0 0
3 2 3
0 1 3
2 1 0
3 1 3
3 1 0
10 2
0 2 4
2 3 2
5 0 1
0 0 1
0 1 1
2 1 0
0 4 4
3 1 3
1 0 1
1 3 1
10 7
5 4 4
3 2 5
0 2 4
3 3 5
2 5 0
5 2 5
1 3 0
2 4 1
5 0 5
3 0 2
10 7
0 3 1
1 2 1
0 2 1
0 3 2
3 0 3
1 3 1
0 1 1
2 1 2
1 3 2
1 1 3
10 5
3 0 3
3 2 2
2 2 2
0 3 3
1 2 0
3 2 1
1 0 3
0 3 2
0 2 1
3 1 1
10 2
4 3 2
3 3 0
1 1 1
4 0 4
2 2 2
0 2 4
2 1 4
3 2 0
2 3 0
2 2 3
10 6
1 4 4
3 4 0
3 1 1
0 4 4
0 3 3
2 0 4
2 4 0
3 0 0
4 1 1
0 2 0
10 3
5 3 3
0 4 4
0 4 1
5 1 4
4 4 1
1 1 2
3 1 4
3 4 2
4 2 5
3 1 0
10 7
1 2 0
2 2 0
0 0 1
1 0 2
1 1 1
1 2 1
2 0 1
0 0 0
2 2 1
1 2 2
10 3
4 1 4
0 4 2
4 1 2
4 0 4
2 4 0
2 1 0
4 4 0
4 3 0
4 0 2
2 0 1
10 5
1 1 3
5 0 1
5 5 2
3 3 0
5 4 1
4 1 3
4 4 2
0 0 3
2 0 1
4 1 5
10 7
0 1 0
2 0 0
2 3 5
0 3 5
2 4 2
3 4 1
3 5 3
1 3 2
2 1 1
4 0 5
10 6
4 4 4
0 1 1
3 4 0
0 0 1
1 4 2
4 1 2
0 3 3
0 2 3
1 4 1
2 1 2
10 3
3 2 0
3 2 2
1 5 5
1 1 3
0 3 3
3 4 4
2 2 0
3 0 1
2 1 4
3 3 4
10 6
0 0 4
0 2 3
1 4 0
1 2 2
4 1 2
2 2 4
2 3 0
2 0 4
3 1 0
2 4 4
10 8
2 0 3
0 0 3
3 1 2
4 2 4
0 0 1
4 1 3
0 2 4
1 2 1
0 4 4
3 2 1
10 5
4 1 5
3 0 3
5 5 3
1 4 5
4 1 0
2 1 3
5 4 3
2 2 5
4 0 5
4 1 1
10 7
2 2 2
2 1 1
1 1 1
0 1 0
2 2 0
2 0 1
0 2 0
0 2 2
1 1 2
1 2 1
10 2
0 0 3
2 2 2
3 0 2
1 0 2
2 2 0
2 1 2
0 0 2
3 0 1
1 2 2
3 1 2
10 6
5 1 1
0 5 2
3 3 0
4 3 3
1 4 3
0 4 2
2 0 4
1 5 4
2 1 3
2 4 2
10 2
1 2 5
2 2 3
1 3 3
3 3 5
5 5 2
0 1 1
5 3 5
3 1 3
2 0 4
1 5 1
10 5
5 3 2
5 2 3
5 5 4
5 3 0
0 4 3
3 3 1
2 4 5
4 2 1
5 3 3
2 5 3
10 5
3 2 3
3 1 3
3 0 2
0 3 0
0 1 3
2 3 2
0 3 2
3 1 2
1 2 1
0 1 2
10 5
3 0 4
5 2 1
3 3 1
4 5 5
1 2 1
5 0 4
0 2 5
4 4 1
0 2 0
2 1 0
10 2
0 0 1
3 2 0
2 0 3
2 3 0
1 3 1
0 2 2
2 3 1
0 1 0
2 1 1
3 1 0
10 2
1 2 4
5 5 1
2 4 4
4 2 2
0 3 2
4 2 5
5 1 1
2 4 1
3 0 0
2 3 4
10 7
2 1 2
0 1 0
1 2 1
2 2 1
2 2 2
2 0 0
0 0 1
1 1 0
1 1 2
0 0 2
10 3
1 0 0
0 2 0
0 2 2
0 0 0
2 2 2
0 1 2
0 1 1
2 0 0
2 1 0
2 1 2
10 4
1 1 1
1 0 2
1 0 0
1 1 0
2 0 0
0 2 0
2 1 0
2 0 1
0 0 1
2 2 1
10 9
1 2 0
0 1 1
0 0 0
3 0 3
0 3 3
3 1 3
2 1 3
3 1 0
0 1 0
3 3 0
10 4
1 3 1
3 3 2
0 0 3
2 0 2
1 3 2
1 0 1
1 2 2
1 2 0
1 0 2
0 3 2
10 6
0 0 0
0 2 4
0 4 1
0 1 3
2 3 0
1 2 0
4 3 1
2 4 0
3 0 1
1 1 2
10 2
3 2 3
0 0 1
0 0 3
0 1 0
0 3 1
2 3 0
1 2 2
3 0 3
2 3 1
0 0 0
10 8
0 1 1
2 3 2
2 2 2
2 3 1
0 3 3
1 0 1
0 0 0
2 3 3
0 2 2
1 2 0
10 3
3 2 1
5 1 3
0 0 4
5 5 0
3 4 2
0 4 4
3 2 4
4 5 5
2 2 5
2 1 3
10 5
1 2 1
2 1 0
1 0 0
1 2 2
0 0 2
1 1 0
0 2 1
0 1 1
2 1 2
0 0 0
10 7
3 2 0
3 2 2
1 3 1
3 2 3
1 1 3
3 3 0
2 0 3
2 3 0
1 1 0
2 3 2
10 2
0 2 1
3 1 1
2 3 3
0 1 2
1 0 0
3 2 3
3 3 0
1 3 3
0 3 2
2 2 2
10 3
3 0 4
0 2 1
2 1 0
2 0 1
1 0 0
3 0 2
2 2 0
4 3 4
1 1 3
4 4 0
10 5
0 3 1
2 1 1
2 1 2
3 3 1
2 2 0
3 0 1
0 0 3
3 1 2
0 2 1
1 2 1
10 9
1 0 0
2 0 3
0 0 0
2 1 1
3 2 1
2 1 2
3 0 3
3 2 3
2 1 3
2 3 2
10 8
1 1 2
0 0 2
2 0 0
0 2 1
0 0 0
2 1 0
2 2 2
0 2 2
2 2 0
2 2 1
10 8
2 2 1
2 3 4
1 2 2
0 3 3
1 0 4
1 3 3
1 2 3
2 1 0
2 2 0
2 3 3
10 8
0 0 2
2 0 1
2 2 1
0 3 3
3 2 3
1 0 1
3 1 1
3 2 2
0 1 3
0 2 1
10 6
1 3 2
3 3 1
2 2 3
1 3 1
1 2 3
0 3 0
0 2 2
2 2 2
3 3 2
3 2 2
10 2
1 1 1
0 1 2
1 0 0
0 1 1
2 1 1
0 2 2
1 1 0
2 2 1
0 0 0
2 0 1
10 7
2 1 2
0 1 1
0 2 2
1 1 1
2 0 2
2 0 1
2 0 0
1 2 2
2 1 1
1 1 0
10 3
1 2 2
0 1 5
4 3 0
4 1 5
2 1 5
4 0 0
1 4 4
1 0 0
1 1 2
4 2 2
10 6
0 1 1
2 1 1
2 1 2
1 2 2
2 2 0
2 1 0
1 1 0
0 2 2
0 0 2
2 0 2
10 8
1 2 2
1 1 0
1 0 2
1 0 0
2 1 2
2 2 1
0 2 1
0 0 2
2 1 1
0 2 2
10 8
1 3 2
3 3 2
1 3 0
2 2 0
3 3 1
2 3 2
2 2 3
2 2 1
1 0 3
2 1 1
10 7
0 0 1
2 1 2
0 2 1
1 1 0
1 2 2
1 0 2
1 2 1
2 0 0
0 0 2
2 1 1
10 3
2 1 4
0 0 0
0 0 2
3 5 4
0 2 4
5 0 1
2 2 3
0 0 5
0 3 5
0 4 1
10 4
0 1 0
0 2 0
2 2 0
1 2 2
2 1 1
0 0 1
2 2 2
1 2 0
1 2 1
0 1 2
10 5
5 4 4
4 2 4
0 3 4
2 2 1
2 3 3
3 1 3
3 2 2
0 3 2
1 2 2
5 2 5
10 2
1 3 5
2 4 2
5 3 0
2 1 4
1 4 3
1 1 0
0 5 4
3 1 3
2 5 0
1 0 5
10 6
3 4 4
2 3 1
0 0 3
0 4 4
2 0 2
0 1 0
3 4 2
0 4 3
3 1 4
0 1 4
10 3
1 2 0
2 2 1
0 0 0
2 0 1
1 1 1
0 2 2
1 0 0
0 1 1
0 0 2
1 1 0
10 8
3 1 1
3 3 2
2 0 1
1 1 3
2 1 3
2 3 1
1 3 1
1 3 3
3 3 1
3 1 2
10 9
2 4 1
4 4 3
4 5 2
1 5 5
0 4 0
4 1 0
0 0 4
5 1 5
4 2 4
2 0 1
10 4
2 4 1
4 0 2
5 5 5
2 0 0
4 1 0
2 2 5
0 5 4
0 5 2
1 3 0
4 4 2
10 7
1 0 3
2 0 2
3 2 0
2 3 3
3 1 3
0 3 3
4 3 0
3 4 3
2 2 3
1 2 0
10 2
0 2 1
0 1 1
2 1 1
0 1 0
2 0 0
1 1 1
0 0 2
1 2 2
2 0 2
1 1 0
10 5
3 3 1
1 3 1
0 2 2
3 2 3
2 1 3
3 1 3
2 0 2
2 0 3
3 3 3
3 2 2
10 2
2 2 2
2 1 2
2 0 1
1 0 2
1 0 1
1 2 1
2 1 0
0 2 1
0 1 0
1 0 0
10 4
4 3 3
2 3 3
1 4 0
1 4 1
0 4 2
3 4 0
1 4 4
2 0 2
1 4 2
1 2 2
10 7
3 1 1
2 0 3
2 2 0
2 5 5
4 1 2
3 4 2
4 4 4
5 3 5
0 3 4
3 1 3
10 4
2 4 0
1 2 0
2 0 1
3 2 3
3 1 1
1 4 2
4 1 1
1 3 4
0 0 1
2 1 2
10 8
4 2 0
0 3 0
1 4 3
3 2 2
5 0 2
3 4 4
0 2 0
0 2 4
1 1 2
0 3 4
10 2
0 1 2
0 2 0
2 2 1
1 0 0
0 0 1
1 2 0
1 0 2
2 1 0
1 1 2
2 0 1
10 9
2 0 2
0 2 1
2 0 0
1 0 2
0 1 1
0 0 1
2 2 1
1 2 0
0 0 0
0 0 2
10 5
0 0 3
3 3 3
2 2 0
0 1 0
1 2 0
1 1 1
3 0 3
2 0 0
2 3 2
2 0 3
10 5
1 2 3
2 4 3
4 2 2
2 3 3
0 4 0
1 2 0
0 1 3
2 3 0
2 4 0
0 3 3
10 7
1 0 2
1 2 1
1 1 1
1 0 1
0 1 2
0 0 0
2 2 2
2 0 1
2 2 0
2 0 0
10 3
3 1 4
1 3 1
0 3 1
2 1 1
0 3 3
0 0 1
3 1 2
3 4 1
1 3 2
3 0 0
10 3
2 1 0
4 1 4
5 0 4
1 3 5
4 0 2
4 4 4
5 3 5
5 2 3
3 0 1
0 1 1
10 9
0 0 1
1 5 5
5 5 4
3 4 2
4 0 3
3 3 2
1 4 2
3 3 3
4 5 2
1 0 3
10 8
3 1 3
1 1 2
3 2 1
0 3 0
2 0 2
3 1 2
2 2 0
0 1 2
0 0 2
2 3 0
10 8
2 0 0
0 1 0
1 2 0
2 1 2
0 2 1
2 2 0
0 0 2
2 1 1
0 2 0
1 2 1
10 6
2 0 1
3 2 2
1 3 3
0 1 1
2 3 2
0 2 3
1 0 1
0 0 3
3 3 1
1 3 1
10 7
1 1 0
4 4 3
4 2 3
2 0 2
1 2 4
2 2 0
4 0 0
2 4 1
4 3 0
2 1 3
10 7
3 3 0
0 3 2
5 3 0
1 0 5
1 3 1
1 4 3
2 3 1
5 5 4
1 4 0
3 5 2
10 9
2 0 1
2 1 1
0 0 2
1 1 1
2 1 2
1 1 2
0 0 0
1 0 0
1 0 1
1 2 2
10 2
2 2 0
0 2 2
2 1 0
2 1 2
0 0 0
1 0 2
0 1 0
2 1 1
2 0 1
1 0 0
10 8
1 0 1
4 4 5
0 3 3
2 5 4
3 0 5
0 4 1
3 1 4
1 5 4
5 1 1
0 2 1
10 6
1 4 1
0 3 4
0 4 1
4 0 4
3 0 0
4 2 4
4 3 3
2 3 1
4 1 4
4 4 3
10 7
2 1 2
4 5 4
5 1 3
5 0 3
1 2 0
4 2 2
0 0 1
2 3 2
2 0 2
2 4 4
10 8
1 1 3
0 2 1
0 3 3
1 2 2
3 2 3
2 1 0
3 3 0
3 0 1
1 2 1
0 1 3
10 9
0 2 0
3 0 2
1 1 3
2 3 3
0 2 1
3 2 2
0 0 1
3 1 2
2 0 1
1 0 2
10 6
2 0 3
3 4 2
4 3 2
4 3 3
2 4 3
0 4 4
3 2 0
1 2 0
1 0 0
2 2 0
10 4
2 3 0
0 4 0
0 0 1
3 3 2
1 2 1
0 2 0
1 2 4
2 0 1
4 1 2
4 3 4
10 2
2 1 2
0 2 0
0 0 2
0 1 1
0 1 2
1 0 2
1 0 1
1 1 0
2 1 0
2 0 1
10 5
2 0 1
1 1 3
3 0 2
2 1 2
2 0 2
1 3 3
3 2 2
2 3 1
2 2 3
0 3 0
10 4
0 2 0
0 2 2
0 0 2
2 1 1
1 2 0
2 0 1
0 1 1
0 2 1
1 2 2
2 0 0
10 3
1 1 0
2 2 1
2 1 0
2 2 2
0 0 2
0 1 2
1 1 2
0 0 1
0 2 2
1 0 0
10 7
4 1 1
2 0 4
3 2 0
1 0 2
3 4 1
4 4 0
3 2 4
0 1 4
0 0 1
0 0 3
10 3
1 1 0
3 1 2
0 3 2
1 2 3
0 0 3
3 3 0
2 3 0
0 3 1
3 2 0
2 2 0
10 2
1 3 2
2 3 2
3 2 3
2 0 0
2 3 0
1 0 0
2 1 1
1 3 0
2 3 3
3 2 0
10 6
1 2 0
2 1 1
0 2 2
0 1 2
2 0 0
2 0 1
2 2 1
0 1 1
1 1 1
1 0 1
10 2
2 0 2
3 1 1
2 2 0
0 1 0
3 2 0
1 2 3
2 1 0
0 3 3
1 0 0
3 1 0
10 2
2 3 1
3 0 1
2 2 0
2 0 2
2 3 0
1 2 2
2 0 1
3 2 1
2 2 2
3 2 2
10 6
2 0 1
2 2 2
0 3 3
2 0 3
3 2 2
1 3 2
1 3 0
0 1 1
0 2 1
2 1 1
10 5
1 0 1
0 3 3
1 2 1
0 2 2
3 0 1
2 1 2
1 3 3
1 1 2
1 2 2
3 3 0
10 9
1 0 2
2 0 1
0 1 0
2 0 2
1 1 2
0 0 1
0 0 2
1 0 1
1 1 0
0 2 0
10 4
3 0 1
3 2 1
2 3 0
4 1 1
4 3 2
2 2 4
3 1 2
4 0 0
0 1 3
1 1 0
10 8
0 2 0
2 2 3
1 1 3
0 1 3
1 2 1
0 3 1
1 0 1
3 1 1
2 1 2
3 1 0
10 4
0 2 0
1 1 1
0 2 1
1 0 2
2 2 2
0 0 2
1 1 0
1 2 1
0 1 1
0 1 0
10 6
2 0 0
3 3 1
3 1 3
0 1 3
2 1 3
1 3 2
3 3 0
0 3 2
1 3 3
1 0 3
10 2
4 2 0
0 0 3
3 2 0
3 4 2
3 3 1
2 0 1
4 4 4
2 3 1
1 3 1
2 1 2
10 7
2 0 2
2 2 1
0 1 0
1 1 1
0 2 0
0 0 2
1 1 2
2 2 2
2 1 0
1 0 0
10 7
0 0 0
1 2 5
1 1 2
2 2 4
2 4 4
0 4 4
3 4 3
0 3 2
4 1 3
3 2 0
10 7
0 1 0
3 2 5
1 2 2
4 4 1
2 1 2
0 2 3
2 4 5
5 3 2
0 0 1
2 5 4
10 6
4 0 0
1 2 3
4 1 4
0 1 1
0 2 5
2 2 3
2 0 4
1 5 1
5 1 1
2 1 2
10 9
2 1 3
0 2 2
0 4 5
2 5 2
3 0 1
1 0 5
5 4 0
3 0 5
3 4 5
3 5 3
10 9
5 1 3
2 4 2
1 1 5
1 4 3
2 5 4
4 2 4
4 2 0
2 0 4
4 2 2
2 4 4
10 8
3 5 5
2 3 0
1 0 5
3 4 3
1 0 2
4 5 4
0 0 1
1 3 4
0 3 5
5 2 3
10 7
3 4 0
1 0 2
3 3 3
1 3 3
2 2 2
1 2 4
4 0 2
4 0 0
3 1 4
4 2 0
10 7
0 3 2
4 2 1
4 0 4
2 3 0
3 1 3
4 0 1
1 2 1
4 4 4
4 1 3
3 4 4
10 8
0 0 2
0 0 1
0 2 0
2 2 0
1 0 2
2 2 1
0 0 0
0 1 2
2 1 0
0 2 2
10 2
2 3 3
0 0 2
3 1 2
3 2 0
1 1 2
2 2 0
0 2 1
0 0 1
0 0 3
3 2 1
10 8
2 0 2
4 4 4
1 4 3
3 2 1
4 5 3
0 5 2
5 3 3
3 5 3
5 5 4
2 1 2
10 3
2 2 0
0 2 1
1 1 2
0 2 2
2 2 1
2 1 0
1 1 0
2 0 2
0 1 2
2 0 0
10 2
1 0 0
0 3 1
2 2 3
1 1 1
4 4 4
1 4 0
1 2 2
4 0 1
0 4 2
3 0 4
10 3
2 0 2
3 3 1
2 0 3
0 0 3
2 2 3
1 3 3
4 3 4
0 4 2
3 3 3
4 3 3
10 6
2 1 2
5 3 1
3 5 1
1 4 2
2 5 4
5 1 0
5 2 1
2 2 1
5 1 3
4 5 0
10 5
3 3 3
1 0 1
1 2 2
0 0 1
1 2 3
4 4 4
1 4 0
4 1 4
4 0 0
2 4 0
10 9
1 1 3
1 2 1
0 1 0
2 2 2
3 4 1
1 2 3
1 1 4
1 3 2
0 3 3
3 1 3
10 5
1 1 0
0 0 0
2 0 2
1 2 0
2 2 1
2 0 1
2 1 2
2 0 0
1 1 1
1 0 2
10 7
0 2 0
2 2 0
2 0 2
2 0 1
0 2 2
0 0 1
0 0 0
0 1 0
0 1 2
1 0 1
10 4
0 1 0
0 0 2
1 2 2
2 2 0
2 1 0
1 0 2
1 1 2
1 0 0
0 1 1
2 1 2
10 2
0 2 2
1 1 1
1 0 2
2 2 0
2 0 2
1 1 2
2 1 1
1 2 2
0 2 0
0 0 1
10 4
0 4 4
2 4 4
1 3 1
0 3 3
4 2 4
1 2 0
3 3 3
4 4 3
4 4 1
1 4 2
10 6
1 5 4
4 5 4
2 1 5
0 3 5
3 2 5
2 0 2
0 4 4
0 0 0
2 4 5
4 5 0
10 9
0 4 0
2 1 2
4 2 2
1 1 3
4 3 3
2 3 2
0 3 3
2 4 4
1 3 1
4 3 4
10 6
4 2 2
3 1 0
3 2 3
0 2 0
1 4 3
1 3 3
3 0 2
1 2 4
1 0 2
3 0 4
10 2
0 0 2
1 2 2
2 1 2
1 1 3
0 3 2
0 0 0
0 2 0
3 3 2
0 1 2
3 1 2
10 8
1 1 1
0 3 2
3 3 1
0 2 0
1 3 2
2 2 1
3 1 0
2 0 2
3 3 0
3 0 0
10 9
2 2 1
2 1 1
1 1 1
0 2 0
1 2 1
0 0 2
2 2 0
2 1 0
0 0 0
0 1 2
10 7
3 0 5
1 5 4
1 4 1
0 3 2
4 2 4
0 0 0
4 5 0
2 1 4
0 1 1
3 2 0
10 5
4 4 4
4 4 3
1 4 0
4 0 4
4 3 2
0 0 2
4 1 0
0 0 0
2 3 0
0 3 0
10 4
1 1 1
0 2 0
1 0 0
0 0 2
0 1 2
0 1 1
2 1 2
1 2 1
2 2 2
2 0 1
10 9
5 4 3
0 0 3
0 0 4
3 4 0
4 0 1
1 5 3
3 3 2
2 5 4
1 2 2
2 3 0
10 8
0 1 1
4 3 4
2 1 1
3 1 4
0 4 4
0 0 0
5 1 1
3 1 0
4 4 4
5 0 5
10 7
5 1 5
2 0 5
2 3 2
4 3 0
2 5 5
5 2 1
4 2 5
5 0 3
5 5 1
5 2 5
10 4
4 1 1
3 3 0
2 3 2
1 3 1
4 4 1
0 0 3
1 4 4
1 4 1
1 2 0
3 4 0
10 6
2 2 2
0 1 3
2 3 1
3 3 1
0 2 1
3 1 0
0 2 3
0 0 2
0 3 3
1 3 3
10 5
0 3 1
1 2 3
2 2 3
3 3 3
0 2 1
2 1 2
0 2 0
2 3 3
0 0 1
1 0 1
10 9
0 4 5
4 4 1
0 0 4
5 0 5
5 2 2
0 4 3
2 1 5
5 3 5
3 4 5
3 3 0
10 9
1 5 2
3 0 5
4 2 4
1 3 3
2 1 0
3 4 3
5 1 4
5 3 4
2 2 5
1 3 1
10 7
0 2 1
0 0 1
1 2 1
2 1 1
0 0 0
1 0 0
1 2 0
2 1 0
2 0 0
2 0 2
10 5
3 3 3
5 1 5
0 5 3
2 3 2
3 3 4
3 1 2
1 1 3
0 1 4
5 0 3
0 0 1
10 7
0 0 1
0 1 0
0 1 3
1 1 3
1 1 2
1 3 3
0 3 0
2 0 0
1 0 3
3 0 0
10 5
1 5 5
1 1 4
3 1 1
4 1 5
3 0 4
1 0 1
0 4 0
2 0 1
5 1 1
1 2 3
10 8
1 2 3
3 0 2
2 0 1
1 2 0
2 0 2
4 4 2
3 0 1
4 0 2
4 3 2
3 3 4
10 5
0 2 1
0 0 2
3 1 3
3 2 1
3 0 1
0 3 2
0 0 0
1 1 0
2 0 3
0 3 1
10 7
0 3 3
3 0 2
1 1 1
2 0 3
3 2 2
1 3 3
2 2 2
2 0 2
0 1 1
2 1 0
10 6
0 4 2
4 3 4
4 2 1
1 1 4
1 3 3
4 3 1
3 3 2
1 4 0
3 2 4
3 1 0
10 9
3 1 4
3 3 2
1 4 3
1 4 2
5 1 3
3 1 5
1 0 3
4 2 3
1 1 4
5 1 0
10 7
2 2 2
4 4 1
1 1 3
3 4 0
1 4 2
4 0 2
2 1 3
3 4 4
2 4 3
0 2 4
10 2
0 4 5
1 4 3
2 4 4
5 5 0
3 1 3
1 4 4
3 0 5
1 4 5
3 2 0
4 0 5
10 8
0 3 2
4 1 4
3 0 1
4 3 1
3 0 4
3 3 4
0 0 1
2 3 1
2 1 0
1 1 2
10 7
2 5 4
2 4 3
2 3 1
3 0 0
2 0 4
4 0 4
4 4 2
0 0 3
0 3 1
0 1 0
10 5
1 1 4
1 3 2
0 1 1
2 4 0
3 3 2
4 3 1
1 2 4
0 3 4
4 2 2
3 2 1
10 6
5 2 3
1 4 4
0 3 2
2 2 4
2 0 0
0 4 5
5 0 1
3 1 4
2 0 5
3 4 0
10 3
3 3 3
2 3 1
0 0 1
3 3 1
1 0 3
0 2 2
3 1 0
1 2 3
2 3 3
0 1 3
10 2
0 1 1
4 1 5
1 2 5
4 2 0
3 0 4
4 0 0
4 2 2
2 3 5
5 0 0
1 0 5
10 4
4 1 3
4 4 1
2 0 1
4 0 3
1 2 2
0 1 1
0 0 4
3 0 4
3 4 3
0 0 3
10 5
0 1 3
1 3 4
2 1 3
1 4 3
2 4 4
0 0 0
4 4 0
3 2 3
4 4 3
0 4 0
10 7
1 2 2
2 2 0
2 1 2
1 1 0
1 1 1
1 2 1
0 1 0
0 2 1
2 2 1
0 0 2
10 5
0 0 2
3 3 2
0 3 3
1 1 2
1 3 2
2 3 1
1 2 1
0 0 0
2 3 3
0 0 1
10 8
0 0 1
0 0 2
0 2 1
1 1 0
2 0 2
2 2 2
1 1 2
1 2 2
1 2 1
1 1 1
10 6
1 1 2
0 1 2
0 0 0
2 1 2
0 1 0
2 0 2
2 0 0
0 0 2
1 0 0
0 1 1
10 7
0 2 1
1 2 2
2 0 1
1 1 1
2 0 0
2 2 1
2 0 2
1 2 1
0 1 1
1 1 0
10 3
1 0 2
0 1 0
2 1 2
0 0 1
1 2 0
1 1 2
1 1 1
1 0 1
1 2 2
2 0 0
10 9
1 2 3
2 4 3
4 3 3
4 0 2
1 1 1
3 4 2
1 0 3
0 1 1
3 4 0
2 4 2
10 6
2 2 1
0 1 1
2 0 1
2 0 2
0 0 1
0 1 0
0 1 2
2 1 1
1 2 2
1 0 1
10 6
0 0 2
2 1 2
1 1 1
2 2 1
2 0 2
2 0 1
2 1 1
1 2 2
1 0 2
1 2 1
10 9
1 0 3
2 1 2
1 1 2
0 2 0
3 2 0
1 0 1
0 3 1
1 3 2
1 1 1
3 1 1
10 2
3 0 1
2 0 0
0 3 2
2 2 0
4 2 0
2 0 2
1 0 2
2 2 1
3 3 0
4 1 1
10 5
1 0 2
0 2 2
0 2 1
2 1 1
0 0 2
1 1 0
2 2 2
1 1 1
0 0 0
0 0 1
10 2
2 1 2
2 1 3
1 2 3
1 1 2
3 3 0
1 2 2
2 3 3
1 0 1
3 2 3
0 0 0
10 9
3 0 1
3 2 2
0 1 2
0 3 1
0 4 1
4 2 5
5 3 1
3 3 2
4 4 2
1 5 5
10 9
1 0 2
2 1 3
4 1 2
2 2 3
3 0 0
3 2 1
1 2 2
1 1 0
4 4 3
1 2 3
10 2
3 2 2
3 2 1
3 3 1
1 3 2
2 0 2
0 0 1
0 0 2
2 2 0
1 1 3
3 3 3
10 9
3 2 4
3 4 4
3 1 3
1 5 2
2 3 1
2 5 0
2 3 5
0 3 0
4 4 4
2 2 5
10 3
2 2 3
3 2 3
3 3 3
0 0 2
2 4 3
0 1 2
4 2 0
3 2 4
3 2 2
2 4 0
10 8
5 1 4
1 4 4
3 3 5
4 2 1
0 2 3
2 0 5
0 3 1
5 5 4
2 5 3
3 0 0
10 8
1 0 2
1 2 2
0 2 2
2 2 0
2 0 1
0 1 1
2 1 1
0 2 1
2 1 2
1 1 0
10 6
3 2 1
1 0 3
2 2 0
1 2 3
2 1 2
1 1 0
0 2 0
1 1 1
0 0 0
0 1 1
10 8
0 2 0
1 1 0
0 0 0
2 2 0
2 0 1
2 1 1
2 0 0
1 0 2
1 2 0
1 1 1
10 5
0 1 5
1 1 2
3 3 5
0 1 0
3 4 2
3 3 1
0 3 4
1 5 4
1 3 3
0 1 4
10 5
2 0 1
1 2 1
0 2 0
2 1 0
2 1 1
1 2 0
1 0 0
1 0 1
1 2 2
0 1 1
10 6
2 2 0
0 1 2
2 0 3
3 3 4
1 1 4
0 4 4
2 1 3
3 0 2
1 3 4
3 0 1
10 3
3 0 4
0 0 2
0 3 1
2 1 0
2 1 4
0 0 1
3 3 0
4 4 4
1 2 3
2 3 0
10 5
1 1 0
2 0 0
0 0 2
0 0 1
1 1 1
2 1 2
2 1 0
0 2 0
1 2 2
2 0 1
10 6
1 2 2
0 0 0
1 0 2
2 2 1
1 2 0
0 2 2
0 1 2
2 0 2
2 1 1
0 0 1
10 7
3 0 4
1 4 0
4 1 2
0 1 1
0 1 4
2 2 1
3 3 4
1 2 3
2 4 4
2 2 3
10 3
3 3 0
0 3 4
3 0 0
4 1 2
2 3 0
2 1 2
2 0 1
0 2 0
3 3 4
2 0 2
10 4
0 4 3
1 0 1
1 4 4
4 1 0
3 4 1
5 2 0
3 5 4
3 0 4
5 1 5
3 0 2
10 3
2 2 2
0 0 1
0 0 2
3 2 1
2 2 1
0 3 2
3 3 0
1 2 2
1 1 3
2 3 2
10 9
3 2 0
1 4 3
0 3 4
2 1 4
3 3 1
1 4 0
2 2 3
2 3 3
1 1 4
4 1 4
10 5
2 2 1
2 1 1
0 1 2
1 0 0
0 0 1
1 2 2
0 1 1
0 1 0
0 0 2
0 0 0
10 2
2 2 0
4 4 1
4 4 0
3 2 1
1 0 3
0 4 3
0 0 0
3 0 4
2 1 1
0 2 1
10 4
3 1 0
2 3 1
1 0 2
2 1 2
1 3 2
1 0 3
1 1 0
2 3 0
3 3 2
1 3 0
10 6
4 2 0
3 1 3
0 1 0
3 1 1
3 2 3
3 0 4
0 0 0
3 2 0
3 1 4
1 4 0
10 6
1 2 1
0 1 2
1 1 1
0 0 2
2 0 0
2 2 1
0 2 2
1 0 2
1 2 2
1 2 0
10 2
2 2 2
0 2 2
1 1 2
2 2 0
1 2 1
0 1 0
1 1 0
0 2 0
0 1 2
1 2 0
10 5
4 0 4
2 3 2
0 3 3
2 3 0
3 2 2
4 2 3
4 3 0
3 3 1
4 4 0
0 1 3
10 3
3 3 2
4 2 3
1 2 2
3 4 2
0 0 3
2 3 2
1 4 4
4 4 4
4 0 0
0 3 0
10 3
3 0 0
3 3 1
0 1 3
5 0 1
1 4 0
2 3 1
1 5 1
1 3 3
2 5 3
3 3 0
10 2
3 4 2
4 1 0
3 0 4
3 1 2
2 2 2
3 1 1
3 0 0
3 2 0
4 4 2
1 4 3
10 8
5 2 4
3 2 3
1 2 4
1 5 5
3 3 0
0 3 5
3 3 4
4 2 2
5 1 4
4 1 4
10 3
0 1 1
2 2 0
1 0 2
0 2 1
1 1 1
0 2 0
2 0 0
0 2 2
0 0 1
1 0 0
10 3
4 3 2
3 1 1
1 1 4
3 0 1
3 4 3
1 0 0
2 0 1
4 3 1
0 2 4
1 2 2
10 6
1 1 2
1 0 0
1 2 1
1 2 2
0 2 1
2 0 2
2 0 0
1 0 1
1 2 0
0 1 2
10 3
2 1 4
1 1 0
1 1 1
4 2 0
5 0 1
4 2 5
2 0 0
5 3 1
4 3 3
5 0 0
10 6
2 0 1
1 3 0
0 3 4
3 0 1
4 1 3
1 2 1
1 2 0
4 0 0
2 0 3
4 0 4
10 6
3 4 4
0 3 3
0 4 2
2 2 0
4 0 4
4 2 3
2 4 1
1 0 0
1 3 0
1 4 0
10 8
4 2 1
3 4 4
1 5 0
1 5 1
3 3 3
3 4 1
3 3 4
4 4 5
5 0 5
5 3 0
10 5
3 1 1
3 4 2
0 1 3
3 3 0
2 0 4
2 0 2
3 0 2
1 2 3
0 3 0
0 0 3
10 8
0 0 1
0 2 0
2 1 2
0 2 2
0 1 0
0 0 0
1 1 2
2 1 0
1 0 0
2 1 1
10 3
2 1 1
3 3 1
3 3 0
2 1 0
3 1 1
1 2 0
0 0 0
3 2 1
3 3 2
1 2 1
10 7
2 1 2
2 1 1
0 1 0
0 1 2
2 2 0
0 0 0
0 1 1
1 0 2
0 0 1
0 2 0
10 7
3 3 4
4 0 3
3 1 3
3 4 2
1 4 2
4 4 4
1 0 2
2 3 0
4 0 1
2 0 0
10 5
4 5 5
5 3 2
5 4 0
2 3 1
1 4 0
0 1 3
3 4 4
0 3 4
1 1 5
1 0 5
10 6
4 3 5
2 3 2
2 5 4
1 4 5
3 4 3
4 0 5
1 1 3
3 5 4
1 1 2
1 0 5
10 4
5 1 0
0 0 2
4 1 4
2 4 1
1 4 2
3 4 2
5 5 1
2 1 5
3 4 5
2 0 0
10 4
3 1 3
0 4 0
3 3 2
2 0 1
1 2 1
2 0 3
4 4 3
4 2 2
2 2 4
4 2 1
10 8
0 2 2
2 1 0
2 1 2
2 2 0
2 0 2
1 2 1
2 1 1
1 0 1
0 2 0
0 2 1
10 3
0 2 1
0 1 1
2 1 2
1 0 2
1 1 0
0 0 1
0 0 0
0 1 2
1 0 0
0 1 0
10 2
1 2 3
3 2 4
3 2 3
5 1 3
2 1 2
4 2 1
2 4 4
5 2 4
4 0 2
4 4 3
10 9
0 0 2
1 5 3
4 2 5
3 3 5
5 5 5
1 1 5
1 3 2
5 0 2
3 0 2
5 0 0
10 3
2 3 4
2 4 2
0 2 2
1 1 0
0 1 1
1 3 4
0 4 1
4 4 0
2 2 4
1 0 1
10 8
2 2 3
4 1 1
1 3 0
3 2 0
2 1 1
1 4 1
0 3 4
0 1 2
3 2 2
4 3 0
10 3
0 4 4
3 0 4
1 0 1
2 2 1
0 2 2
4 4 2
3 1 3
4 1 1
2 1 3
4 1 2
10 9
0 3 5
5 4 1
4 2 0
5 4 4
2 0 1
4 2 2
1 4 3
5 0 2
3 2 0
0 4 1
10 4
0 1 3
1 0 3
2 2 3
0 3 3
1 2 2
3 1 2
3 0 1
1 1 0
3 3 3
1 2 3
10 2
1 3 5
3 3 0
5 1 4
5 5 5
5 2 0
5 3 1
0 0 5
2 5 4
3 1 1
5 2 5
10 7
0 1 4
1 0 4
3 4 0
3 4 4
3 4 2
1 4 2
3 4 3
3 2 1
0 2 3
0 4 0
10 2
2 0 0
0 3 2
1 2 2
0 3 3
3 3 2
0 0 2
1 0 0
3 2 3
1 1 3
2 1 3
10 2
3 2 3
2 4 3
4 1 2
3 5 1
5 0 3
0 0 3
4 3 1
0 1 5
2 1 0
2 1 1
10 2
1 0 0
2 2 0
2 0 2
1 0 2
0 0 2
0 2 0
2 2 2
1 1 0
1 2 2
2 2 1
10 6
1 1 3
4 0 4
1 3 2
3 0 2
2 0 3
0 1 0
2 1 3
0 0 1
4 0 1
4 2 0
10 7
2 2 0
1 0 2
2 2 2
0 1 1
2 1 2
0 1 0
1 1 1
1 0 0
0 2 1
2 2 1
10 8
0 1 2
2 0 2
1 2 0
2 1 2
0 0 1
2 2 0
2 2 1
0 0 2
1 2 1
2 0 0
10 2
4 4 0
5 0 1
1 2 2
1 2 0
3 1 2
0 3 1
2 5 3
4 5 4
5 0 2
4 1 0
10 9
1 0 0
0 0 2
2 1 1
0 2 0
2 2 0
1 2 1
0 1 2
2 0 2
0 2 2
1 1 1
10 7
2 0 2
2 0 0
1 0 1
2 1 2
1 2 0
1 1 1
1 0 2
1 1 2
1 2 2
0 1 1
10 3
0 2 0
1 0 1
2 1 0
1 0 2
1 1 1
1 1 0
1 0 0
2 2 2
2 1 1
0 0 1
10 8
3 4 4
5 1 2
1 0 2
0 3 5
3 2 5
4 4 5
0 0 5
4 0 3
0 5 1
2 5 0
10 4
1 1 0
0 0 2
2 1 0
1 1 1
1 2 2
2 2 2
0 2 2
1 2 0
0 1 1
2 1 1
10 8
4 0 4
4 3 4
3 2 0
0 2 4
0 1 2
2 3 1
4 1 4
1 0 3
1 1 2
4 0 1
10 7
1 2 0
2 1 2
1 2 1
3 1 2
1 1 0
1 2 4
0 3 1
0 1 4
3 4 4
2 3 3
10 7
0 1 0
3 2 3
1 0 1
0 3 3
3 0 3
2 3 0
2 1 2
0 2 2
0 1 3
3 2 1
10 6
2 2 0
4 2 1
4 0 1
4 5 0
1 4 3
2 4 3
2 3 1
2 4 1
2 1 4
4 3 4
10 6
0 2 0
2 2 2
0 0 3
1 0 3
1 2 3
2 2 1
0 2 3
3 3 0
3 1 2
3 0 2
10 7
3 2 0
4 3 4
0 1 0
0 4 1
4 2 3
0 5 1
5 0 3
0 1 5
5 2 2
1 4 0
10 6
1 0 2
2 2 0
2 0 0
0 1 2
0 2 2
1 1 0
2 1 1
2 0 1
0 0 1
1 2 0
10 4
4 1 0
1 0 2
1 4 2
3 0 2
1 3 4
1 1 3
2 4 5
4 5 1
4 2 3
5 2 0
10 9
3 3 0
2 2 0
4 3 4
0 2 4
1 3 5
0 2 0
2 1 4
3 5 4
1 4 3
3 2 0
10 6
2 0 0
1 0 0
0 2 3
2 3 2
0 2 1
1 0 2
2 2 0
2 0 2
1 3 1
3 1 3
10 5
3 3 2
0 2 2
2 0 1
0 3 3
3 1 3
1 0 1
2 3 2
0 3 2
0 1 0
1 3 2
10 2
0 2 0
2 1 2
0 0 1
3 2 3
2 1 1
2 3 3
1 2 3
1 0 3
3 1 2
2 0 3
10 7
3 1 2
3 2 0
1 1 1
3 0 1
3 1 3
3 2 3
2 3 1
1 2 0
1 1 2
2 2 0
10 5
0 3 2
1 2 3
2 1 1
1 3 4
3 4 1
4 3 1
3 1 1
4 1 2
2 0 4
2 1 3
10 8
0 1 3
1 0 1
1 2 4
3 1 2
1 2 2
1 0 2
4 0 4
0 3 1
4 2 0
0 1 4
10 8
2 2 2
3 4 4
4 2 3
2 2 3
4 4 3
3 3 0
3 0 3
1 2 0
3 0 1
3 3 1
10 6
3 1 2
0 2 1
0 0 2
0 3 2
0 1 2
3 3 3
0 2 3
2 0 0
2 2 2
2 2 0
10 4
0 2 2
0 1 1
1 0 2
1 2 2
0 2 0
0 1 2
0 0 2
2 0 2
1 2 1
1 0 1
10 8
2 4 3
3 4 5
2 3 0
4 3 3
5 0 5
4 5 0
2 4 5
0 5 1
3 4 1
4 0 2
10 3
1 4 1
4 2 0
0 1 4
0 1 2
3 1 4
3 3 1
4 4 0
0 0 0
0 3 0
0 2 3
10 4
4 3 4
3 1 3
5 1 1
4 1 3
3 1 4
3 4 0
1 0 1
5 2 3
5 2 0
1 1 0
10 6
1 3 3
0 0 3
3 2 2
0 3 3
0 2 1
2 0 3
3 2 1
2 1 2
3 1 1
2 1 0
10 7
0 4 5
1 4 0
0 0 5
0 3 0
5 3 1
4 2 5
4 5 3
2 1 4
1 2 0
3 4 3
10 9
1 2 2
1 2 5
2 3 2
2 1 3
5 1 2
0 1 3
0 4 4
3 5 0
3 3 1
5 4 2
10 6
0 2 0
2 2 1
1 2 0
1 1 1
0 1 0
1 1 0
0 0 2
1 2 1
0 0 0
2 0 1
10 7
0 1 2
1 2 1
1 1 2
0 1 1
2 2 0
1 2 2
0 2 1
1 0 2
1 2 0
2 2 1
10 6
2 2 2
3 1 3
1 4 1
4 1 3
1 3 2
1 0 3
0 4 2
2 2 3
3 0 1
2 2 1
10 9
2 3 4
1 0 1
3 0 0
4 4 3
3 3 4
1 2 2
4 0 4
2 4 0
3 2 3
3 2 4
10 3
3 5 4
4 0 3
2 0 1
3 2 4
0 4 3
4 5 2
3 3 3
3 2 5
1 0 1
5 0 1
10 2
0 1 1
1 1 0
0 1 0
2 1 2
0 2 1
2 0 0
2 2 1
0 2 2
2 2 2
2 0 2
10 2
2 3 3
1 2 2
0 2 2
2 2 2
2 1 3
3 2 1
0 1 0
1 0 2
2 2 1
1 3 3
10 6
4 0 2
1 2 3
1 4 2
1 2 4
0 0 0
4 3 4
0 0 4
2 1 2
1 3 2
3 4 1
10 3
4 4 4
3 4 0
1 0 2
2 2 0
4 0 2
1 4 1
2 1 0
2 2 2
2 1 3
3 1 3
10 9
4 0 2
4 2 0
2 3 0
3 1 2
3 3 3
3 0 0
0 2 3
3 4 0
3 0 2
1 0 2
10 3
2 1 3
0 0 0
2 2 2
2 0 3
2 0 0
2 2 0
3 2 0
0 1 1
3 0 3
1 0 2
10 9
2 2 1
3 1 4
3 3 3
1 0 2
0 1 2
2 4 3
4 0 4
1 0 3
2 0 2
1 1 3
10 9
2 1 1
1 2 1
2 0 1
0 2 1
1 0 1
0 0 1
2 1 2
1 2 0
0 1 0
1 1 1
10 3
0 1 0
1 2 1
0 0 2
2 1 0
2 2 2
0 2 1
0 2 0
2 0 2
2 0 1
2 1 1
10 2
0 1 3
1 3 2
0 3 0
1 3 1
2 0 0
0 2 0
1 2 3
3 0 2
1 1 0
3 2 0
10 6
0 4 1
1 0 0
4 4 0
1 2 1
3 0 4
1 3 4
0 3 1
3 2 1
2 0 2
0 1 0
10 2
4 1 5
0 2 0
2 4 0
1 5 5
3 2 4
4 1 4
1 2 3
1 0 2
5 2 4
4 5 3
10 8
0 2 0
2 2 0
1 1 2
2 0 2
2 0 1
1 0 1
2 2 2
2 1 0
0 0 0
0 0 1
10 9
1 1 4
2 2 2
0 3 0
4 1 4
0 2 4
4 2 3
1 2 2
4 2 2
1 1 1
0 0 2
10 6
4 4 3
3 2 4
4 0 4
2 1 3
4 3 3
2 3 0
4 3 1
3 4 0
2 2 2
4 3 4
10 5
0 0 1
1 1 0
1 0 1
2 1 0
1 2 1
2 0 1
2 0 0
2 0 2
1 1 2
2 1 2
10 9
3 4 3
1 0 4
2 4 3
2 0 3
0 1 4
1 3 4
4 1 4
3 1 2
3 2 0
4 0 4
10 3
2 2 2
2 1 1
2 2 0
0 2 0
0 1 1
0 0 1
2 0 2
1 2 0
2 0 1
1 0 1
10 4
0 4 0
0 2 0
1 0 0
3 0 4
2 2 4
4 1 4
2 1 3
4 1 2
4 0 3
2 2 1
10 7
0 1 2
1 2 1
3 3 3
3 0 2
0 0 2
1 1 3
0 2 1
2 1 3
3 3 1
1 3 3
10 2
2 1 3
2 1 2
3 1 1
0 2 3
1 0 1
1 0 2
0 3 2
0 0 3
2 3 3
0 0 0
10 8
2 1 1
5 0 4
0 2 1
3 5 1
3 5 3
2 2 0
5 1 0
4 2 3
3 4 2
1 4 4
10 5
2 1 3
0 2 3
1 1 3
0 3 2
1 2 0
3 0 0
1 0 1
3 1 3
3 0 1
1 0 2
10 6
3 4 4
4 3 3
2 1 4
3 2 4
4 2 3
3 0 0
3 3 4
4 1 2
2 4 2
0 2 2
10 3
4 1 2
5 1 0
3 2 2
5 5 5
2 1 4
0 4 3
2 3 5
5 2 0
1 1 2
2 3 4
10 8
1 0 2
0 3 0
0 2 0
0 3 3
3 3 2
1 1 0
2 3 1
3 2 3
0 0 0
1 0 0
10 3
2 1 1
0 1 2
0 2 0
0 0 1
2 2 2
1 2 0
2 0 0
0 1 1
1 0 0
1 1 1
10 5
1 0 2
0 2 0
2 2 2
1 0 0
1 2 2
0 1 1
2 1 2
2 1 1
2 1 0
1 0 1
10 2
1 4 0
3 3 2
0 0 2
2 3 1
4 2 3
2 0 2
3 0 1
1 2 0
0 1 1
2 1 4
10 7
3 1 2
0 3 2
2 3 1
1 1 3
1 1 2
3 3 2
0 0 2
3 2 2
3 2 1
2 3 3
10 5
2 1 1
2 0 1
0 2 2
2 0 2
1 0 0
0 2 1
0 0 1
0 1 1
0 2 0
0 0 2
10 9
0 2 0
2 0 2
2 2 2
0 1 0
1 0 0
2 0 0
2 1 2
2 1 0
0 0 0
1 1 2
10 8
5 0 0
3 3 2
5 1 0
5 5 5
5 2 5
3 4 0
3 1 3
5 0 5
5 3 4
0 4 3
10 4
2 4 2
3 4 3
2 2 2
0 1 1
4 3 1
0 4 1
3 4 2
4 1 3
3 0 0
2 3 0
10 7
2 0 0
2 0 2
1 0 1
0 2 1
1 1 2
1 0 2
0 2 2
2 1 0
1 0 0
0 2 0
10 5
1 1 1
3 1 2
0 0 1
2 2 1
3 0 0
1 2 2
0 2 1
0 3 1
1 0 0
3 3 1
10 4
1 1 2
3 3 4
3 4 3
4 3 0
2 4 5
4 2 1
0 5 0
3 2 1
5 4 4
2 0 3
10 7
1 0 3
1 3 1
3 3 2
0 3 1
2 3 0
3 1 0
2 2 0
1 1 0
1 3 0
1 3 2
10 5
1 3 4
0 1 4
4 3 2
4 3 0
0 0 4
3 2 0
4 3 4
2 1 2
1 0 2
2 1 4
10 9
0 0 4
4 0 4
4 3 1
1 2 1
1 1 3
2 0 4
4 4 3
3 2 2
2 3 4
1 4 1
10 3
0 0 2
2 2 1
2 2 2
2 2 0
2 0 0
1 0 0
2 1 2
2 0 1
0 2 1
2 0 2
10 5
2 1 1
0 3 1
3 1 1
3 2 3
1 2 3
3 1 3
1 1 1
1 0 3
1 3 1
0 1 3
10 4
2 2 0
0 2 0
2 0 0
0 1 1
0 2 1
2 1 2
2 1 0
2 0 2
1 0 0
0 2 2
10 5
4 2 4
4 4 3
2 4 0
0 2 1
3 2 3
4 4 4
4 4 2
1 0 0
0 4 1
3 3 0
10 7
1 4 3
5 2 2
1 1 3
3 0 0
1 0 2
0 5 3
1 4 0
5 4 5
1 5 3
0 4 0
10 3
0 0 2
3 0 2
1 1 1
1 1 0
3 1 2
0 1 0
1 2 2
0 2 2
0 3 1
3 1 3
10 3
2 1 0
1 2 0
2 1 2
1 2 2
1 1 0
2 1 1
0 0 0
0 1 1
1 0 0
1 1 1
10 6
0 2 1
0 1 3
0 1 0
0 3 0
2 0 0
3 0 3
3 2 2
1 3 3
2 3 1
3 1 2
10 9
3 0 1
1 1 0
1 4 2
1 1 4
1 2 0
3 1 1
2 0 1
1 4 1
3 4 2
1 0 2
10 2
3 0 3
3 3 3
2 3 2
3 1 2
3 3 0
3 3 2
3 2 3
1 0 0
0 2 2
3 0 1
10 2
1 0 4
5 2 1
0 0 3
5 0 0
4 5 4
2 5 3
1 4 0
5 5 4
5 4 1
1 2 2
10 5
1 0 1
2 1 0
0 1 0
1 2 0
1 0 2
0 1 2
1 2 1
2 2 2
2 0 1
0 2 0
10 7
1 1 0
1 0 2
2 2 1
0 1 2
1 2 2
0 0 2
2 2 0
2 1 1
0 1 1
1 1 1
10 9
0 1 1
1 2 1
0 4 2
4 3 4
0 0 2
3 4 4
2 1 4
2 3 3
1 2 3
0 2 4
10 7
2 1 1
1 2 2
2 1 0
4 1 0
0 3 1
1 3 3
4 1 3
1 4 0
0 2 4
0 1 3
10 7
5 2 4
5 1 0
5 3 4
4 1 3
3 5 1
5 0 5
4 4 2
0 2 0
0 3 5
1 4 0
10 6
1 0 1
1 0 0
2 2 1
0 0 2
1 2 2
1 1 1
2 0 2
1 2 1
2 1 0
0 1 2
10 7
3 4 3
1 2 3
2 2 0
4 2 2
3 4 1
4 2 1
2 0 4
3 2 4
0 1 1
0 3 3
10 5
2 3 4
4 0 5
2 5 5
0 4 0
0 2 4
3 0 3
1 1 5
1 2 5
1 4 2
1 3 1
10 5
2 0 1
0 1 0
0 1 2
1 2 1
2 1 0
0 0 1
2 2 2
2 0 0
1 1 1
2 2 1
10 7
2 1 1
2 0 1
3 2 2
1 4 1
2 1 4
4 2 1
1 3 0
3 4 0
1 1 4
2 4 2
10 8
4 1 0
0 3 1
2 0 3
2 0 0
4 4 4
4 2 3
4 1 4
1 2 3
3 4 4
4 0 2
10 8
2 4 1
3 4 2
1 2 4
2 1 3
4 0 0
3 1 3
0 3 1
0 0 4
3 4 4
3 1 1
10 8
0 1 1
2 2 0
3 1 0
1 1 3
0 2 3
0 0 3
2 0 2
2 3 3
2 1 3
3 3 3
10 9
1 0 0
2 2 2
0 1 1
0 2 0
1 2 0
0 2 1
2 2 1
1 1 1
1 2 2
0 1 0
10 5
1 3 1
1 3 2
2 1 1
2 2 2
0 1 0
3 1 1
0 0 1
3 2 3
2 0 1
2 0 2
10 9
1 4 3
4 1 2
3 3 4
3 2 1
2 2 0
3 4 0
1 0 3
3 4 2
0 1 3
4 0 1
10 4
5 4 3
0 0 5
0 4 0
2 2 5
2 1 2
4 3 4
4 3 3
3 5 0
2 5 1
4 2 1
10 9
2 1 0
1 0 0
2 0 1
1 1 1
1 1 2
2 0 2
0 1 0
0 2 1
1 0 1
1 0 2
10 5
0 1 0
0 0 2
2 0 0
0 0 0
1 2 0
2 1 2
2 2 2
0 2 0
2 2 0
0 1 2
10 8
3 2 0
1 3 3
2 3 2
0 1 3
2 0 2
1 2 1
2 0 0
0 0 1
3 0 2
2 1 3
10 4
1 1 1
2 0 0
1 1 0
0 2 0
1 2 0
2 1 1
1 0 0
2 0 2
2 1 0
0 0 0
10 8
3 3 2
1 2 0
2 0 1
4 1 3
2 2 3
2 4 2
0 3 5
4 2 1
5 2 0
3 2 1
10 5
0 0 0
2 0 0
2 1 0
0 2 2
0 1 2
0 2 0
2 1 1
0 1 0
2 0 2
1 2 0
10 4
2 2 2
4 0 3
4 1 3
0 3 0
1 4 3
3 0 2
4 4 2
1 0 2
0 0 2
4 4 0
10 4
0 3 2
1 2 1
0 0 3
0 3 0
1 3 3
1 1 1
3 2 3
1 1 2
1 2 2
0 0 2
10 7
0 1 1
2 0 0
0 2 1
3 3 2
1 1 3
2 3 1
1 3 2
0 0 3
3 2 2
2 0 2
10 4
3 1 1
1 0 0
2 0 1
1 4 4
0 2 1
4 0 0
1 2 0
4 0 3
1 1 4
1 2 2
10 5
2 2 0
2 0 3
3 0 2
1 3 3
1 1 1
1 3 0
3 2 1
2 0 1
3 0 3
0 3 3
10 6
2 0 1
2 0 0
0 2 1
2 2 2
2 0 2
1 1 2
1 1 1
2 2 1
1 0 0
0 2 0
10 8
3 2 0
0 0 1
3 2 3
4 0 3
3 1 4
3 0 1
0 1 0
3 3 4
1 3 3
1 1 1
10 6
0 0 4
1 3 2
0 0 3
1 2 3
3 3 3
3 2 3
4 4 1
3 1 0
2 2 4
4 2 2
10 9
0 3 2
5 1 5
4 4 4
0 0 2
2 3 1
1 1 2
5 3 4
5 2 2
4 0 1
0 2 5
10 6
2 1 1
1 0 2
1 2 2
2 0 2
2 2 2
0 1 2
0 0 0
0 0 1
2 2 1
1 1 1
10 9
4 2 1
0 5 0
2 2 5
1 4 5
5 1 2
4 5 1
3 4 4
1 2 0
0 4 3
0 4 2
10 9
0 2 0
1 2 0
2 2 0
1 0 1
2 2 2
0 0 1
0 1 0
1 0 0
2 1 1
1 2 2
10 7
1 2 2
2 2 0
2 1 1
2 2 1
0 2 0
1 0 0
2 0 1
0 1 1
1 1 0
1 0 1
10 9
2 1 1
1 2 2
0 0 2
1 0 1
1 0 0
0 1 0
1 0 2
0 0 1
2 1 0
2 2 1
10 8
1 1 5
5 2 0
5 5 4
0 2 5
3 4 5
2 1 4
1 3 2
0 3 2
2 3 4
2 2 2
10 3
1 1 1
2 2 0
0 2 2
0 0 0
0 1 1
2 0 0
0 1 2
1 0 2
2 2 2
2 0 2
10 9
1 3 4
3 0 3
2 1 1
4 0 3
0 3 0
3 2 0
0 3 4
1 4 4
2 3 2
3 4 2
10 2
2 3 0
5 4 5
1 0 0
4 1 2
2 5 2
2 1 1
2 1 3
1 5 5
4 0 2
5 3 2
10 6
4 2 3
5 1 2
2 4 4
4 1 4
4 3 3
2 0 5
1 2 3
5 3 0
4 1 1
1 5 2
10 2
1 0 2
0 4 4
0 2 2
3 0 0
3 2 0
4 4 4
0 3 3
0 3 1
0 4 2
3 0 3
10 3
3 1 3
3 4 2
4 2 0
1 3 2
1 4 4
2 2 1
2 3 0
0 2 3
0 0 1
3 0 3
10 6
3 0 3
3 0 1
3 2 3
1 3 1
1 2 2
2 0 1
0 0 3
2 3 1
2 2 3
1 2 3
10 7
3 0 4
2 3 4
0 3 2
1 3 3
0 0 4
1 2 3
0 2 0
2 0 4
2 0 3
2 3 2
10 3
4 5 1
5 4 3
1 0 1
2 1 3
4 3 0
4 3 3
5 1 4
2 5 0
5 3 4
1 4 0
10 6
1 0 0
0 2 2
0 2 0
1 2 0
1 2 1
2 2 2
1 2 2
0 1 2
2 2 0
0 0 2
10 5
1 0 2
1 0 0
1 0 1
1 1 1
2 2 2
1 2 2
2 1 1
0 2 1
2 0 0
2 1 0
10 2
1 1 3
3 3 3
0 0 2
1 2 0
2 0 0
3 0 1
2 2 1
3 0 0
3 2 2
3 0 3
10 6
1 2 2
2 2 1
2 1 1
0 2 2
2 0 2
1 1 1
2 1 0
2 0 1
2 2 2
0 0 1
10 9
1 3 0
3 0 2
2 3 0
3 0 0
2 2 1
2 2 0
0 2 1
1 0 2
0 1 1
3 3 0
10 8
3 1 3
2 0 3
3 2 3
1 1 2
2 3 3
1 0 0
0 0 2
3 2 1
1 1 1
0 0 1
10 5
1 2 1
0 1 0
2 2 2
1 1 1
2 1 2
1 1 0
2 0 0
0 0 0
0 0 1
0 2 2
10 2
2 3 0
4 4 1
3 3 3
3 3 4
2 4 2
2 2 1
2 2 0
0 1 2
2 2 3
1 2 3
10 8
3 4 3
1 4 2
0 5 3
3 1 5
4 4 3
5 3 5
3 3 5
1 1 4
2 4 4
1 3 0
10 4
0 3 2
1 0 2
1 0 1
0 1 1
3 2 0
2 0 3
2 3 1
1 2 3
2 2 1
2 0 1
10 8
0 2 0
2 0 2
1 1 2
2 1 0
0 1 1
0 1 0
0 2 2
2 2 1
2 1 1
1 2 1
10 8
2 0 1
1 2 1
1 2 2
0 0 0
1 1 1
2 0 0
1 1 0
0 1 1
2 0 2
0 0 2
10 9
1 2 2
2 0 1
0 2 1
0 0 2
1 1 2
0 1 2
0 0 1
1 1 1
2 2 2
0 1 0
10 5
2 0 0
3 2 3
3 4 1
0 0 1
4 3 2
3 3 1
2 4 4
1 2 3
0 4 4
2 1 4
10 7
3 0 1
3 3 2
3 2 3
1 4 0
2 2 3
2 4 0
2 3 2
3 4 4
4 4 0
3 3 0
10 9
2 0 4
1 1 1
2 3 0
0 3 2
3 1 4
1 1 4
0 1 1
4 3 1
0 2 3
3 2 3
10 6
3 5 3
2 2 4
5 5 5
1 3 5
2 0 3
0 3 3
3 2 0
3 5 2
2 2 0
4 5 2
10 3
1 0 3
1 1 1
2 1 1
3 0 0
0 3 2
1 2 3
0 3 3
0 1 2
1 3 0
2 2 1
10 7
1 2 5
1 4 2
0 2 3
0 2 2
4 5 1
3 0 3
4 0 0
0 3 0
4 2 0
0 0 0
10 3
1 0 2
2 0 0
1 1 0
1 2 0
1 1 1
0 1 1
1 0 0
2 2 1
2 1 2
1 2 2
10 8
1 3 2
1 3 0
3 2 3
0 0 3
2 3 1
2 3 3
3 0 1
2 1 3
1 1 2
3 3 1
10 5
0 0 2
3 4 1
2 4 0
3 0 2
2 3 4
4 3 2
1 2 2
4 1 4
1 2 1
3 0 0
10 7
4 5 2
4 2 4
3 1 4
2 3 1
3 1 1
5 3 2
3 1 2
2 1 0
2 4 1
4 4 3
10 2
0 2 2
0 0 2
0 2 0
2 0 1
2 1 1
1 0 0
0 2 1
1 2 1
0 1 2
1 0 1
10 8
1 4 3
4 3 3
4 2 1
4 0 0
2 1 2
2 2 0
4 1 4
4 1 2
0 2 1
4 3 4
10 3
1 2 1
1 0 1
3 2 0
3 2 3
2 1 3
0 0 0
2 3 0
1 3 3
2 0 1
0 3 0
10 3
0 0 0
3 1 2
3 0 3
4 3 4
0 4 3
0 1 2
4 1 2
4 1 0
1 4 1
3 4 1
10 6
2 2 0
1 0 0
1 0 2
0 2 0
2 0 1
0 0 2
1 1 1
0 1 1
2 1 2
2 0 0
10 4
3 5 5
1 2 0
4 1 5
3 1 1
2 0 2
0 0 5
2 0 4
1 2 1
2 1 4
3 1 3
10 3
4 4 3
0 1 3
1 1 3
4 0 2
2 1 2
4 2 0
2 0 2
2 2 4
0 1 4
4 4 4
10 9
3 0 2
2 2 1
2 3 0
3 0 3
3 4 1
1 1 1
0 0 2
1 0 0
4 2 2
0 4 1
10 7
3 0 0
4 5 0
1 2 2
1 1 4
3 3 3
2 5 5
4 3 4
2 5 0
3 4 5
3 2 5
10 8
2 2 0
0 0 0
2 0 0
2 1 0
2 1 2
2 0 1
0 1 2
0 0 2
1 0 1
0 0 1
10 7
2 2 1
0 1 2
2 1 0
2 2 0
0 0 0
1 1 2
2 1 1
1 0 1
2 0 0
0 0 2
10 2
0 0 1
0 1 0
1 1 1
2 1 2
2 2 1
1 2 1
0 0 0
1 1 0
2 1 0
1 1 2
10 9
4 3 3
4 1 4
4 1 1
0 0 4
2 0 1
2 2 3
2 1 1
1 3 2
3 0 3
3 0 1
10 9
3 2 3
0 4 3
2 4 4
1 4 4
1 1 4
1 1 2
3 1 2
0 0 1
4 0 4
2 3 3
10 2
5 1 2
1 4 3
4 2 5
3 3 2
4 3 1
2 0 2
5 2 4
3 0 0
2 5 4
2 1 3
10 4
1 0 3
4 2 4
4 2 3
0 0 1
2 4 4
0 0 3
2 0 2
4 2 0
2 1 2
0 1 0
10 3
2 2 1
2 2 0
0 1 2
2 0 2
1 2 0
2 1 0
0 1 1
1 0 0
1 2 2
2 0 1
10 4
1 2 0
2 5 2
4 4 1
2 0 3
4 3 5
4 2 5
4 3 4
3 1 3
1 3 1
5 1 1
10 3
3 2 3
2 2 0
1 3 0
2 1 1
2 1 0
0 1 2
2 2 3
0 3 1
3 3 1
0 1 3
10 3
2 2 0
2 0 2
4 2 1
1 0 4
1 0 2
4 4 0
0 4 4
0 2 3
2 0 3
2 3 1
10 5
3 1 2
1 3 1
1 0 2
0 1 3
2 0 3
0 0 2
0 3 1
3 0 2
1 0 1
1 2 0
10 7
3 0 2
0 1 1
1 0 3
2 1 1
2 2 0
0 1 3
1 1 0
3 1 2
3 0 3
1 3 2
10 4
0 0 0
1 1 1
1 0 1
2 2 1
2 1 0
2 0 0
1 0 2
0 1 1
0 2 0
2 2 2
10 8
1 4 2
2 1 0
4 4 2
3 4 0
1 2 4
3 4 4
3 3 1
3 0 2
4 3 4
0 2 0
10 2
4 0 3
3 2 1
3 1 3
2 0 4
5 3 1
2 5 0
2 3 0
5 1 3
5 5 1
4 5 2
10 8
1 0 0
2 2 2
1 2 1
0 0 1
0 0 3
0 1 3
1 3 3
2 0 1
2 3 2
3 3 1
10 2
3 4 5
5 2 4
0 3 0
1 0 0
0 0 4
5 5 5
4 4 5
5 3 5
0 0 1
5 0 4
10 6
1 2 1
0 0 0
2 0 0
0 2 1
0 1 2
0 2 0
2 2 1
2 0 2
2 1 2
0 0 1
10 8
1 2 2
0 2 0
2 2 0
0 2 1
1 2 1
2 1 2
1 0 2
0 2 2
0 1 1
2 2 2
10 9
1 0 0
1 0 1
2 0 2
1 2 0
2 1 2
2 0 0
1 1 1
0 0 0
1 1 0
2 2 2
10 4
4 5 5
1 0 0
2 1 5
0 2 2
5 5 0
1 1 1
0 1 1
5 4 2
1 3 5
4 2 1
10 5
1 5 5
2 3 4
5 3 4
0 1 2
1 2 5
0 3 3
2 3 3
4 0 0
2 3 1
1 1 0
10 4
2 0 1
0 0 1
2 2 2
2 1 2
2 1 1
2 2 0
0 2 0
1 1 1
1 2 2
1 1 2
10 7
1 0 0
0 2 2
2 0 2
2 2 0
3 2 3
3 3 0
2 3 0
2 3 2
3 1 0
3 3 1
10 3
4 2 1
2 4 2
2 2 3
0 0 0
3 0 0
4 3 1
0 4 0
4 1 1
2 2 0
0 0 2
10 2
2 5 0
2 0 4
5 4 2
4 4 5
0 1 4
4 0 0
1 3 2
4 0 3
1 5 0
4 3 0
10 5
1 3 3
0 3 2
3 1 1
1 2 4
2 4 2
4 3 0
3 2 4
0 0 2
2 4 1
0 3 3
10 5
2 1 0
1 2 1
0 2 0
0 1 0
0 1 2
2 0 2
2 2 1
2 2 0
0 0 0
0 2 1
10 8
0 1 0
1 1 0
0 2 1
0 0 2
0 1 2
1 2 2
2 0 0
1 0 1
0 0 0
2 1 0
10 6
1 0 2
3 2 1
3 3 1
2 2 3
1 2 0
2 0 3
1 2 2
0 1 0
3 3 3
1 2 1
10 7
0 1 2
3 1 0
0 0 1
2 2 0
1 1 2
3 1 2
2 0 0
0 1 3
3 3 3
3 3 1
10 2
0 2 0
2 0 0
2 1 2
1 0 2
1 2 1
2 2 0
0 0 0
2 2 2
0 2 2
1 2 0
10 7
0 0 3
3 1 0
0 1 1
3 4 0
4 4 4
1 0 4
1 4 0
2 0 0
0 4 0
2 1 2
10 5
1 0 1
2 0 1
0 2 1
0 2 2
1 2 2
0 0 1
2 0 0
2 1 1
1 1 0
1 2 0
10 8
1 3 1
3 2 4
0 4 4
3 3 2
0 3 1
2 1 4
1 4 1
0 3 4
2 1 1
2 1 0
10 8
4 4 4
0 5 2
2 1 4
2 3 2
5 2 1
3 2 4
0 3 2
5 4 4
5 4 3
2 2 4
10 2
4 2 1
3 3 1
4 2 2
1 4 3
2 0 2
4 1 0
0 1 2
3 2 0
1 1 4
4 4 2
10 3
3 1 1
4 1 3
2 2 2
2 3 1
4 1 0
4 2 2
3 4 0
5 5 4
3 1 5
4 2 3
10 5
0 2 1
3 0 3
2 1 2
1 1 1
0 3 1
1 2 2
3 3 2
0 0 2
3 1 2
0 2 0
10 3
5 2 2
1 2 4
2 5 0
5 0 0
5 4 5
4 5 2
0 0 0
3 5 2
1 2 3
2 0 1
10 4
2 1 2
0 0 2
0 0 1
1 1 1
1 2 0
2 2 2
2 2 1
2 0 1
1 0 0
0 1 0
10 4
2 2 1
0 1 0
0 0 2
2 1 1
1 0 1
2 1 2
1 2 1
0 0 1
1 2 0
0 2 0
10 6
0 0 1
1 2 3
0 2 4
3 2 2
1 2 4
4 1 2
4 0 0
0 3 3
4 2 4
2 2 1
10 4
2 1 1
1 0 0
0 3 0
2 0 1
1 1 0
3 1 0
1 0 3
1 3 1
0 2 3
3 2 0
10 6
0 5 3
4 1 5
2 4 3
5 1 2
0 5 5
1 5 3
0 1 2
2 3 2
0 2 4
0 2 1
10 5
2 0 2
0 2 2
0 2 0
0 2 1
1 2 0
1 0 1
0 1 2
0 0 2
2 1 2
0 1 1
10 9
5 5 3
0 1 0
1 5 5
1 0 1
0 2 5
3 2 2
0 2 3
4 1 5
1 1 1
4 1 0
10 3
5 1 1
1 0 3
5 5 1
3 1 3
3 4 0
2 3 2
5 5 3
1 3 5
3 5 3
3 1 1
10 7
3 0 1
3 3 1
1 0 0
0 1 1
2 0 3
0 3 3
3 0 3
1 0 3
3 1 1
3 0 2
10 6
1 2 1
1 2 0
0 0 2
2 0 0
2 2 0
2 1 1
0 0 1
1 0 2
2 2 2
2 0 1
10 6
4 3 1
1 0 2
1 1 3
2 0 5
2 4 2
4 2 0
2 5 5
5 3 1
5 0 3
1 5 5
10 5
0 1 1
2 2 3
3 3 1
2 1 0
1 1 3
3 0 0
0 1 0
1 3 3
0 2 1
2 1 2
10 7
0 2 0
0 0 2
0 1 1
1 2 1
2 2 2
2 0 0
1 0 1
2 0 2
0 0 1
1 0 2
10 5
3 0 4
3 3 1
3 0 1
3 1 1
3 2 2
4 2 3
4 1 4
2 2 4
4 4 4
0 2 2
10 8
1 0 2
0 3 1
1 3 0
1 1 1
1 3 1
1 3 3
3 0 1
3 0 0
2 1 2
2 2 0
10 7
3 0 0
4 2 0
0 4 1
4 5 4
0 4 3
1 4 1
1 0 2
5 5 1
5 2 1
2 0 3
10 4
4 3 1
3 4 1
3 0 1
4 0 3
4 3 4
1 1 3
1 3 0
2 2 1
0 4 1
4 1 1
10 5
4 0 1
3 2 4
3 0 4
0 0 0
5 2 0
2 1 0
4 1 5
5 0 3
3 1 2
5 2 2
10 8
1 1 2
2 3 3
3 1 3
2 3 2
2 1 3
0 2 1
3 3 0
1 0 0
2 3 1
3 0 2
10 2
0 2 1
0 1 0
2 1 0
1 2 2
2 0 2
2 1 2
0 0 2
0 2 0
1 0 2
2 1 1
10 7
2 2 0
2 1 0
1 0 0
1 1 2
0 2 1
1 0 2
0 1 2
2 1 1
2 2 2
1 2 2
10 9
1 1 1
2 0 0
3 2 0
1 0 3
3 0 1
0 1 3
1 2 0
3 3 3
0 3 2
2 3 1
10 3
2 1 4
0 4 1
4 2 4
3 1 0
2 4 2
3 4 3
1 2 3
4 0 0
2 4 1
1 1 4
10 3
4 3 5
4 5 2
4 4 4
5 1 4
0 4 4
5 1 3
0 1 0
1 5 0
3 1 2
1 3 4
10 9
3 1 3
3 2 2
2 0 1
1 2 4
4 4 2
1 0 1
4 2 0
4 3 4
2 1 0
1 3 3
10 4
0 0 1
1 4 5
1 5 3
5 5 5
1 1 1
2 0 3
4 5 5
5 1 0
4 4 1
4 4 0
10 9
4 4 2
0 4 1
2 0 0
0 4 0
2 3 4
3 2 3
1 0 4
4 1 3
3 4 4
2 4 1
10 3
1 4 1
1 0 3
4 3 3
2 3 4
0 0 2
2 4 1
0 2 1
4 2 4
1 2 0
4 4 1
10 5
2 0 1
2 0 2
2 2 2
2 1 0
1 2 2
0 2 2
1 0 0
1 1 0
0 2 1
1 2 1
10 7
2 0 4
4 4 3
4 0 3
5 0 0
3 2 5
1 4 5
2 3 5
3 1 1
0 2 3
5 3 3
10 8
2 2 0
1 1 0
1 0 1
2 2 2
0 1 0
1 1 2
2 0 2
1 0 0
2 0 1
0 1 1
10 4
0 4 1
0 0 2
1 1 4
1 1 5
0 5 3
5 2 2
4 2 3
5 3 5
2 0 2
4 0 1
10 8
3 0 2
2 0 3
3 0 1
2 3 1
3 4 4
1 0 3
1 0 2
2 4 4
0 3 4
2 2 4
10 7
0 2 3
0 3 2
1 0 4
1 2 1
2 3 4
2 3 0
1 0 1
2 1 4
4 1 1
4 4 1
10 7
2 2 2
3 4 0
3 2 3
1 4 2
2 0 3
0 1 0
0 2 4
0 0 3
3 1 1
1 0 0
10 5
5 5 0
4 5 1
1 2 0
3 0 3
4 3 1
3 3 5
1 0 4
3 3 0
2 4 4
2 0 3
10 6
2 1 1
0 3 2
0 3 0
3 4 0
4 4 1
1 0 2
0 1 2
2 2 4
3 1 3
1 1 3
10 9
1 1 2
2 1 0
0 2 0
2 0 0
2 0 1
0 0 2
1 0 2
2 2 1
1 1 0
0 2 1
10 2
1 0 3
3 3 3
3 3 1
3 1 0
2 2 3
2 3 1
0 1 0
3 2 0
3 0 1
2 2 1
10 5
2 3 3
3 3 0
2 1 0
0 4 2
1 4 0
1 0 0
1 2 1
4 2 1
3 4 1
0 2 1
10 7
1 1 0
0 0 2
1 2 1
0 0 0
2 2 2
0 2 1
2 1 2
0 0 1
1 0 1
2 1 1
10 9
2 2 0
0 1 4
4 2 3
4 0 2
1 3 3
1 4 2
1 4 3
0 0 4
2 1 4
3 4 3
10 3
1 1 0
2 2 1
0 0 0
1 0 2
0 2 2
1 0 1
2 1 2
2 0 0
0 0 1
0 1 1
10 6
2 0 3
2 0 2
1 0 2
1 1 0
3 3 1
0 2 1
3 0 3
3 0 0
2 3 1
3 0 2
10 3
3 0 1
2 3 0
2 3 3
1 0 3
3 3 2
0 0 0
2 1 2
3 2 2
2 2 3
0 2 2
10 5
2 2 5
1 1 5
4 4 2
1 3 1
2 3 2
3 4 4
5 1 3
5 0 3
3 4 0
5 3 4
10 7
0 3 1
0 0 3
2 3 0
0 1 1
0 2 0
0 2 1
1 2 2
1 2 1
1 1 1
3 3 2
10 4
3 2 1
3 3 0
2 3 2
2 2 0
2 2 1
1 0 2
2 1 0
1 3 0
3 3 3
2 3 3
10 4
1 1 3
2 3 2
4 2 4
1 4 0
1 3 3
4 4 0
2 3 4
2 4 0
2 4 3
0 1 4
10 8
2 0 2
1 3 3
2 2 2
2 2 1
2 2 3
3 0 3
1 0 0
3 3 1
1 0 3
3 3 3
10 4
2 1 1
2 2 2
2 0 1
2 2 0
1 1 2
2 0 0
1 0 2
2 1 2
1 2 1
0 1 1
10 5
3 2 3
1 1 2
1 0 1
3 0 2
3 0 3
1 2 0
2 0 1
2 1 1
1 3 3
1 1 3
10 9
2 2 2
1 2 1
3 1 5
5 1 4
3 5 1
4 4 3
4 4 1
3 4 3
3 4 1
2 3 0
10 2
0 0 2
2 1 2
0 1 2
2 1 1
0 0 0
2 0 0
1 1 0
0 0 1
0 2 1
0 1 1
10 2
5 4 2
1 1 5
5 4 0
4 4 3
0 4 2
2 5 4
2 4 3
0 3 2
4 3 1
4 4 5
10 7
1 3 1
1 1 2
2 3 3
1 2 2
3 3 2
3 2 0
3 1 1
0 1 0
0 0 3
2 2 0
10 5
0 1 2
3 3 3
3 3 4
0 2 3
0 0 0
0 1 3
1 0 1
0 3 0
1 2 0
2 1 4
10 8
3 1 3
1 2 3
2 2 1
0 2 3
3 3 2
0 0 3
3 3 0
0 1 0
3 0 1
1 3 3
10 6
0 0 0
1 0 3
1 2 1
0 1 3
2 3 0
3 2 2
0 1 2
1 2 2
0 3 0
0 0 1
10 6
2 1 1
1 0 0
1 0 1
1 1 0
0 0 2
2 1 0
2 0 2
0 2 2
0 1 2
2 0 0
10 5
3 3 4
3 3 5
1 2 1
3 4 3
5 5 4
4 3 4
2 2 0
2 3 3
5 0 0
0 0 1
10 8
5 3 1
0 5 4
1 2 3
2 4 5
0 3 2
4 0 2
2 0 1
1 3 3
3 3 5
1 1 0
10 4
0 3 1
2 3 0
1 3 3
1 3 0
2 1 2
3 2 0
1 0 1
3 0 1
3 2 2
3 1 3
10 8
2 1 2
0 3 4
5 2 4
3 2 1
5 3 3
2 0 0
5 0 1
4 1 0
5 3 5
4 0 3
10 7
4 3 0
3 1 2
0 1 4
0 2 0
2 3 2
3 3 4
1 0 3
2 2 2
1 2 0
1 0 4
10 8
1 0 0
0 0 2
1 0 1
0 0 1
2 2 0
1 2 0
2 2 2
0 2 0
2 0 1
0 2 1
10 6
1 1 0
2 2 2
0 2 2
2 2 0
1 1 1
1 2 0
0 0 2
0 1 2
0 1 1
2 0 1
10 2
1 1 0
1 0 3
3 1 0
0 3 1
3 3 1
0 3 3
1 1 1
1 2 1
1 3 3
2 0 3
10 6
1 2 2
0 0 1
2 2 0
1 0 2
0 2 2
0 1 0
1 2 0
1 0 0
0 1 2
0 2 0
10 9
3 2 0
4 4 1
1 1 2
4 1 2
3 0 3
0 1 1
2 2 4
3 1 0
1 4 0
2 2 1
10 9
4 1 4
4 0 2
1 1 2
1 4 2
1 0 1
4 1 1
3 2 1
3 2 4
1 4 4
4 3 1
10 2
2 0 4
3 0 1
3 3 4
2 0 2
4 4 2
2 3 3
2 1 2
3 1 1
2 3 4
0 2 1
10 9
0 2 1
2 1 0
2 0 1
1 1 2
1 2 0
1 2 1
0 1 0
1 0 0
2 2 0
2 0 2
10 7
1 1 3
0 1 1
2 1 0
2 5 1
2 0 1
0 2 2
0 4 5
2 2 1
4 3 5
5 5 3
10 7
2 0 1
1 2 0
0 1 0
1 2 2
2 2 2
2 1 1
0 2 0
1 0 0
0 2 1
1 1 1
10 9
0 2 1
0 3 2
2 1 3
3 1 0
1 2 1
3 0 3
2 2 2
1 0 1
2 3 3
3 0 0
10 3
2 0 0
1 2 1
0 2 2
1 1 0
1 2 2
2 0 1
0 1 2
1 2 0
0 0 0
0 1 1
10 2
0 3 4
3 1 2
3 0 2
3 0 0
4 1 3
1 1 0
0 2 0
0 4 4
2 3 2
2 2 2
10 5
2 1 2
0 0 0
2 2 2
1 2 1
1 0 2
0 2 2
2 0 2
2 0 1
0 0 1
0 2 1
10 4
2 3 0
1 0 0
1 3 0
0 2 1
2 0 0
0 1 2
3 3 3
3 2 0
3 1 0
0 3 0
10 7
2 3 5
5 1 4
0 2 5
2 0 0
1 2 4
1 4 2
5 0 4
1 0 4
4 1 3
3 1 0
10 7
1 4 5
5 1 0
0 1 1
1 3 1
0 0 0
5 4 0
1 2 5
0 5 5
2 3 0
0 5 0
10 2
4 4 1
2 1 0
0 1 0
4 3 3
2 4 1
1 0 2
3 2 1
1 0 4
1 2 0
3 4 2
10 8
1 4 5
4 0 4
5 3 4
5 4 1
5 0 0
1 5 4
2 4 0
4 2 1
3 3 1
0 1 4
10 3
3 3 0
3 0 0
1 2 4
0 4 1
1 2 0
4 0 3
0 2 1
4 3 3
0 4 0
1 4 2
10 2
5 1 5
3 0 5
4 2 2
0 3 3
1 5 0
3 5 3
4 0 0
3 5 5
1 3 0
0 5 1
10 6
3 3 4
2 3 0
3 4 1
1 2 3
2 3 1
3 0 2
2 4 1
4 2 3
3 0 4
4 2 2
10 7
1 3 1
1 4 3
2 1 2
1 0 0
1 0 3
3 1 2
4 0 0
2 3 4
0 0 0
4 4 4
10 4
4 1 0
0 2 3
3 0 1
1 0 0
0 1 2
4 4 1
4 0 2
0 4 2
3 3 2
1 4 2
10 6
5 2 3
1 4 4
2 3 2
0 4 0
1 0 3
3 3 3
1 5 2
5 4 5
5 2 2
5 3 4
10 5
2 4 1
0 1 2
3 2 1
3 3 0
1 1 3
3 1 2
0 2 0
0 4 1
2 0 3
1 1 1
10 5
3 1 3
2 1 1
1 1 1
3 2 0
1 1 3
1 1 2
2 3 2
3 0 2
0 0 0
3 3 2
10 8
1 0 2
0 2 2
1 1 1
2 1 2
2 2 2
2 1 1
0 1 1
1 0 1
1 2 1
2 1 0
10 3
4 5 1
0 4 5
2 3 0
0 2 1
0 0 4
1 3 3
0 2 2
2 3 4
4 0 4
1 0 0
10 3
3 4 3
1 0 3
4 2 3
1 3 1
1 1 2
4 2 1
2 3 3
2 3 2
0 4 0
0 3 2
10 4
1 1 4
2 0 5
3 2 0
5 1 2
0 0 5
5 5 5
4 5 5
0 2 0
1 1 3
4 1 1
10 5
3 2 0
1 3 0
0 1 2
3 3 0
3 2 3
1 2 3
2 2 2
3 0 2
2 1 0
1 2 2
10 3
1 0 3
3 0 3
1 1 3
3 3 1
3 1 2
1 3 2
3 3 2
0 2 3
0 3 1
1 1 2
10 9
2 1 1
1 1 1
1 0 0
1 2 2
1 0 2
2 1 2
1 2 0
2 0 1
0 1 0
0 1 2
10 3
2 4 4
3 2 0
5 0 4
3 5 5
2 3 1
3 2 2
5 0 0
0 4 0
2 2 4
4 5 1
10 6
3 2 2
0 4 4
3 1 4
4 2 3
0 1 3
2 0 2
4 4 0
0 2 2
3 3 3
1 2 2
10 6
1 2 1
4 0 3
1 1 4
3 0 3
0 3 0
1 5 2
3 0 5
1 3 3
3 3 1
0 4 0
10 6
0 1 0
0 0 1
0 1 1
1 0 0
0 1 2
2 1 2
2 0 0
0 0 0
1 2 1
2 1 0
10 6
5 0 1
3 4 4
2 4 2
2 4 5
1 5 4
4 5 2
0 5 1
2 0 5
5 4 2
0 1 4
10 8
0 1 1
2 1 1
0 2 0
0 1 2
2 2 2
2 0 2
0 0 2
0 1 0
1 1 2
2 0 1
10 6
2 2 2
4 2 0
0 3 3
3 4 1
5 1 5
4 0 4
2 5 0
3 1 4
3 2 1
0 5 1
10 8
1 0 1
2 1 4
2 1 0
1 0 2
3 0 3
0 3 3
3 2 1
4 0 2
0 2 1
3 2 2
10 5
1 4 0
1 1 1
4 3 0
1 1 2
2 3 3
3 0 2
1 1 4
3 3 3
0 4 5
2 2 4
10 2
2 1 2
0 2 2
2 1 0
2 0 0
1 2 2
0 1 1
1 0 2
0 1 2
1 0 1
2 2 1
10 4
0 2 0
3 0 1
0 1 3
3 4 0
3 0 2
2 3 1
4 1 3
3 0 3
1 4 0
0 3 4
10 2
2 2 2
4 4 1
4 0 4
4 3 1
4 0 2
0 2 4
2 3 1
3 2 2
4 2 4
1 0 2
10 4
2 2 3
1 2 4
1 0 0
1 5 3
3 3 0
0 5 2
4 4 1
5 0 5
0 0 5
1 4 5
10 5
1 2 2
0 0 0
3 2 1
2 0 0
1 3 0
0 0 1
3 3 1
1 0 1
3 3 3
2 1 2
10 2
2 2 2
0 2 0
2 1 1
1 2 4
0 0 4
3 0 2
0 2 2
0 0 0
2 0 1
0 2 1
10 6
4 1 1
3 3 3
2 4 1
3 4 4
2 0 2
1 3 2
4 0 2
2 4 4
3 0 3
1 0 1
10 3
1 1 1
0 2 0
0 1 1
1 0 0
0 0 1
1 0 1
2 0 2
1 2 2
2 0 1
1 1 0
10 6
2 1 2
2 3 1
2 0 1
2 4 2
4 0 3
2 2 1
1 2 0
2 0 3
1 0 1
3 3 1
10 8
4 0 3
0 4 0
4 1 4
1 2 4
0 4 4
1 0 4
4 4 4
4 2 0
1 2 3
1 4 2
10 4
3 0 0
4 0 0
4 3 1
3 1 4
0 2 1
2 1 4
4 0 4
3 0 4
2 2 0
1 1 3
10 5
2 2 3
1 0 1
3 3 3
2 2 1
1 1 1
0 2 3
2 0 3
0 2 0
3 2 0
0 0 2
10 7
2 1 0
1 3 3
2 2 2
4 0 2
0 1 3
4 3 1
4 4 0
3 0 1
1 1 0
2 2 0
10 4
2 0 1
0 1 0
1 4 2
2 0 4
2 3 2
3 3 0
1 2 2
3 0 3
3 3 1
0 4 0
10 4
3 1 2
3 2 0
1 3 2
0 1 2
1 3 1
2 1 2
1 2 1
1 1 1
1 0 3
0 0 3
10 9
4 5 4
2 3 0
4 3 5
2 3 3
3 0 3
4 4 5
2 0 0
5 4 3
3 1 5
5 4 1
10 4
0 3 1
2 1 1
1 0 1
0 2 0
1 2 0
0 0 3
2 1 0
2 0 1
1 0 0
2 1 3
10 6
3 5 3
1 1 5
0 2 2
5 5 1
3 5 1
5 3 2
1 2 5
3 1 4
5 3 3
4 2 1
10 4
0 0 0
0 0 1
1 0 2
2 1 2
0 1 0
2 2 2
0 1 1
1 2 0
2 0 0
1 0 0
10 6
3 1 3
0 1 1
2 1 2
3 0 1
1 1 1
2 1 0
2 0 2
1 0 1
0 0 1
0 2 1
10 8
1 1 3
0 2 2
3 3 3
3 1 2
0 0 1
0 3 2
0 0 3
3 3 2
2 1 3
1 1 2
10 9
1 3 1
2 0 3
0 1 1
0 1 3
0 1 0
3 0 2
0 0 2
1 0 3
3 0 3
2 2 0
10 3
2 2 4
3 1 2
0 1 1
0 3 0
4 2 2
0 4 2
0 3 4
0 0 1
0 2 1
3 2 4
10 8
3 1 2
3 3 3
1 1 3
2 2 2
1 2 2
1 3 3
0 3 0
0 0 2
1 0 1
0 1 3
10 5
2 1 1
2 1 0
2 0 0
0 1 1
0 1 2
0 1 0
0 0 2
2 0 2
0 2 1
1 0 1
10 3
1 4 2
1 1 0
1 3 2
0 5 0
5 4 3
0 2 2
3 3 3
0 0 5
3 1 1
3 3 2
10 2
1 1 1
0 0 3
0 2 0
1 1 0
2 3 3
3 2 1
0 3 2
2 3 1
2 0 3
1 2 0
10 3
0 0 3
1 2 1
1 0 0
2 0 3
0 2 3
3 2 3
2 1 3
1 1 0
2 1 2
3 2 1
10 2
2 1 1
1 0 1
0 1 3
0 4 4
4 3 2
3 1 2
1 0 0
2 4 2
4 4 1
4 1 1
10 7
0 0 3
2 0 1
0 1 2
1 1 1
2 1 3
2 1 2
1 2 1
3 2 2
2 0 2
1 2 3
10 3
2 1 0
2 0 0
3 2 1
1 3 2
1 3 0
0 3 1
2 0 3
0 2 3
1 1 1
0 1 3
10 6
0 5 3
3 2 0
4 3 2
1 5 3
3 2 5
1 5 4
1 2 1
2 5 0
2 3 1
3 4 4
10 4
0 2 1
3 4 2
5 3 5
5 2 3
3 0 1
0 4 4
2 0 4
2 5 5
2 0 0
2 2 0
10 9
2 0 1
1 0 2
1 2 0
0 1 0
1 1 1
2 2 0
1 0 0
1 1 2
0 2 0
0 0 0
10 9
2 1 2
5 1 2
3 2 4
2 4 3
1 4 3
1 5 1
3 3 1
3 3 3
5 3 4
5 2 0
10 7
1 3 4
3 0 1
4 4 4
2 2 5
2 0 5
5 0 3
5 0 0
3 1 2
2 1 3
5 2 1
10 9
1 1 3
1 4 4
1 2 4
4 1 2
0 0 1
4 2 3
3 2 4
4 1 3
2 4 1
1 3 2
10 7
0 2 2
4 2 3
4 0 2
4 3 1
0 0 4
0 1 4
1 4 1
0 1 3
3 4 4
0 2 3
10 8
1 1 2
0 0 1
1 0 0
2 2 1
0 2 2
2 0 2
1 1 1
1 0 2
1 0 1
2 2 0
10 7
2 0 2
0 1 0
1 1 1
2 2 1
0 0 2
1 1 2
1 0 2
0 2 2
0 2 0
2 0 0
10 6
2 0 1
0 0 1
0 1 2
0 0 2
2 2 1
2 0 0
1 0 0
2 0 2
1 1 1
1 1 0
10 9
0 3 4
0 2 0
1 5 4
2 1 0
5 4 2
4 2 3
0 0 5
0 4 5
0 5 4
4 1 0
10 2
1 0 1
0 1 2
0 0 0
1 2 2
2 0 1
1 0 0
0 0 1
2 0 2
1 2 0
0 2 1
10 3
0 2 2
2 1 1
1 1 1
1 0 0
0 2 1
0 0 0
2 0 1
1 1 2
0 0 2
2 2 2
10 6
2 0 2
1 2 0
1 2 1
2 0 1
1 1 2
0 1 0
2 1 0
1 0 2
0 0 2
2 1 1
10 5
2 1 4
2 2 2
1 4 0
2 4 2
0 4 2
4 3 1
0 3 3
3 3 2
1 3 2
2 2 3
10 2
2 0 1
1 1 0
0 1 2
2 2 2
2 0 0
2 2 0
1 0 2
2 1 0
0 2 2
0 0 0
10 6
0 0 3
1 0 0
0 1 1
0 3 2
3 0 2
2 3 3
0 0 2
3 2 0
1 3 3
0 1 0
10 7
0 0 0
2 1 1
2 2 2
2 2 0
1 2 1
1 1 0
0 2 2
1 2 2
0 0 1
1 2 0
10 8
3 0 0
0 2 2
2 1 2
1 0 4
2 4 1
1 1 0
0 2 0
3 0 3
2 3 4
0 2 4
10 3
2 2 3
3 4 3
3 0 4
4 1 4
0 0 0
2 4 3
3 1 2
0 2 1
3 1 3
4 4 1
10 5
1 2 2
2 1 2
1 0 1
1 1 1
0 0 1
1 1 0
0 2 0
1 0 0
2 2 1
0 2 1
10 5
3 3 1
1 3 1
1 2 1
1 1 1
2 2 2
0 3 1
3 1 0
2 1 2
3 1 2
3 2 1
10 5
1 0 2
1 2 2
0 0 2
2 0 0
1 0 1
2 1 1
0 2 0
1 1 0
2 2 1
2 0 2
10 7
0 3 3
0 1 4
4 1 0
3 0 4
4 1 2
4 3 0
1 4 0
1 4 1
4 1 4
2 4 2
10 8
2 1 4
2 2 0
4 2 2
4 3 3
0 2 1
0 5 0
5 0 1
5 1 1
1 5 3
3 4 0
10 4
0 0 3
3 3 2
3 1 1
3 2 1
0 3 0
1 3 1
3 1 3
3 3 0
3 1 0
2 3 2
10 8
1 1 1
1 2 0
3 0 2
3 2 3
1 2 3
1 1 3
3 3 1
2 0 1
3 0 1
1 0 3
10 8
2 1 1
2 3 2
3 0 0
0 2 2
1 0 1
0 3 2
0 0 1
1 0 2
2 2 1
2 0 2
10 8
0 1 1
3 3 3
3 1 3
0 0 2
2 0 3
2 1 1
2 0 1
2 2 2
2 3 2
3 1 1
10 9
3 3 1
1 2 0
4 0 3
4 2 1
1 0 0
0 0 4
3 2 2
3 3 2
1 0 2
4 1 0
10 2
0 0 0
2 2 0
1 0 2
2 0 2
1 1 0
1 1 3
0 3 3
3 3 2
1 3 2
3 1 0
10 3
4 0 2
4 1 3
1 4 3
2 0 1
2 3 2
2 2 3
4 2 4
2 3 1
0 0 0
3 3 4
10 6
0 3 4
5 0 0
2 2 1
1 3 5
2 2 0
5 5 2
5 5 5
3 5 4
4 2 0
2 5 2
10 7
3 0 4
3 1 4
2 3 2
0 0 1
1 1 3
0 4 1
4 3 3
1 3 1
3 2 4
1 3 4
10 5
0 1 2
2 2 0
3 2 2
0 3 2
3 1 2
3 2 1
1 2 3
1 1 1
2 0 3
0 2 1
10 6
2 0 1
1 4 0
4 0 2
2 4 0
2 1 2
4 0 0
3 1 2
2 3 3
1 3 2
2 0 3
10 7
0 1 3
3 2 1
3 0 3
3 0 1
2 3 2
0 1 0
0 0 3
2 0 2
1 0 1
0 2 1
10 2
1 1 0
0 2 0
0 0 1
2 1 1
1 1 2
1 0 2
2 1 0
1 1 1
2 0 1
0 0 2
10 6
5 4 1
3 3 1
3 4 4
2 4 5
2 1 1
2 5 5
1 4 0
2 2 0
4 4 2
0 5 1
10 8
2 3 1
1 4 3
0 3 3
1 2 1
0 4 1
4 4 1
3 2 3
3 3 4
4 1 4
3 1 1
10 8
1 0 3
3 3 1
4 2 4
0 4 3
1 3 1
2 3 2
2 2 3
0 2 4
2 0 2
3 1 0
10 5
2 0 1
0 0 2
1 0 0
2 2 2
1 1 2
2 1 1
2 0 2
0 1 1
0 1 2
2 1 0
10 7
0 0 1
4 0 4
3 1 4
4 4 3
1 4 2
0 4 4
2 3 2
0 3 1
3 2 0
4 3 1
10 4
3 2 0
1 1 3
3 2 2
0 0 1
3 3 0
1 3 2
3 1 1
3 3 1
1 0 1
0 0 3
10 5
2 0 0
2 1 1
2 1 2
1 3 2
1 0 3
1 0 1
1 2 2
0 3 2
1 1 2
3 0 0
10 5
2 1 2
2 2 0
0 0 2
0 1 1
2 0 0
1 1 1
0 2 1
2 2 1
2 0 2
2 0 1
10 4
2 0 2
1 0 0
1 1 4
0 2 2
3 1 4
1 3 3
2 3 4
2 0 4
2 0 3
2 1 2
10 3
2 1 0
1 0 2
2 0 4
1 4 3
3 2 2
2 1 4
4 1 1
4 3 3
4 4 2
3 0 2
10 7
0 3 1
0 4 4
2 1 1
3 2 2
0 1 3
2 4 4
1 2 1
0 2 2
4 0 2
2 3 2
10 7
0 3 2
0 2 5
5 3 1
1 1 3
3 0 3
2 1 3
2 4 1
1 4 2
5 2 4
2 5 3
10 8
2 2 1
0 2 1
1 2 0
1 1 1
0 1 0
1 0 0
1 2 1
2 1 0
2 2 2
1 0 2
10 2
3 0 2
0 0 3
3 1 3
1 2 3
3 3 0
0 2 0
3 2 0
0 1 1
0 3 2
3 0 1
10 8
0 2 2
3 0 3
1 1 1
2 3 1
1 2 3
0 0 2
3 1 2
1 0 3
3 3 0
3 0 1
10 6
5 3 4
5 2 1
2 5 2
0 5 2
1 1 3
1 3 4
3 5 2
4 5 3
2 1 5
5 3 1
10 8
1 3 4
3 3 4
3 2 4
4 0 0
4 1 2
2 0 4
0 4 3
2 4 1
2 3 0
0 3 3
10 7
3 2 2
2 4 1
4 2 0
0 0 4
1 1 4
2 2 0
1 3 2
1 0 3
1 4 0
1 2 1
10 6
5 2 0
5 1 5
2 5 2
0 2 4
4 5 2
1 2 0
2 4 3
4 1 4
2 4 5
0 0 2
10 6
4 2 2
4 3 2
4 3 0
1 1 1
1 1 4
3 1 1
3 4 4
0 0 1
4 1 1
3 0 2
10 7
1 2 1
3 1 0
1 4 4
3 3 2
1 0 0
4 1 0
0 0 4
0 0 1
2 2 0
1 0 3
10 9
2 1 2
2 0 2
0 0 1
1 0 2
0 2 0
0 1 2
1 0 1
1 2 2
2 1 0
0 1 1
10 9
2 2 2
1 0 2
0 1 0
2 0 0
1 1 2
0 0 0
0 2 0
1 1 0
0 0 1
0 1 1
10 4
2 0 1
1 0 2
0 1 1
3 1 2
1 1 3
0 2 0
0 1 3
3 2 1
1 3 2
0 2 3
10 6
1 2 3
0 4 2
3 1 0
2 3 1
0 0 4
0 4 3
4 0 4
1 3 0
4 2 3
4 1 0
10 3
1 2 4
2 3 1
0 0 3
3 2 3
3 1 1
3 4 4
1 0 1
0 2 2
0 1 4
0 1 3
10 3
4 3 2
3 0 5
5 2 2
5 4 4
5 2 5
3 0 4
4 1 3
3 1 2
1 0 4
3 3 1
10 9
2 1 2
0 2 1
2 3 2
0 1 3
2 3 1
0 3 0
2 0 3
3 1 3
0 0 1
1 0 3
10 3
1 0 2
0 1 0
0 2 0
1 0 1
0 2 2
1 1 1
0 0 1
1 0 0
1 2 2
2 0 2
10 9
0 1 2
1 2 2
0 2 2
2 2 0
2 2 1
1 1 2
0 0 0
1 1 0
1 1 1
2 1 2
10 4
0 1 0
2 2 2
1 2 1
0 0 1
0 0 0
2 2 0
2 2 1
1 2 2
0 2 0
1 0 2
10 9
0 5 2
1 2 2
5 1 2
5 5 0
5 3 0
3 4 3
3 1 2
5 0 0
5 1 5
3 5 1
10 2
4 4 4
4 0 4
2 3 5
2 3 0
3 2 5
5 4 4
5 1 0
2 2 1
5 1 5
0 1 2
10 7
0 1 0
2 1 2
0 0 0
2 1 0
1 1 1
2 0 2
0 1 2
1 2 0
2 2 2
2 0 0
10 3
1 2 1
1 0 1
1 1 1
0 0 0
2 2 0
1 0 2
0 0 2
1 1 2
2 1 1
1 2 0
10 4
4 3 4
4 5 4
1 2 4
4 2 1
1 0 4
5 0 0
5 0 3
2 0 2
4 4 3
5 4 0
10 8
2 2 1
2 0 2
2 1 1
0 2 2
2 0 0
2 2 2
1 0 2
1 0 1
2 2 0
1 1 0
10 8
3 1 0
1 2 1
3 2 3
0 1 2
2 2 0
3 3 0
2 3 0
1 1 1
2 3 3
2 3 1
10 4
0 3 2
2 1 4
2 2 4
4 2 3
0 1 0
2 3 4
0 4 2
2 4 1
0 3 0
4 1 3
10 6
5 3 1
3 5 0
5 5 5
2 0 1
5 2 1
1 3 3
5 4 4
4 0 2
4 1 1
2 4 0
10 4
2 1 0
2 3 3
3 0 1
2 2 0
1 2 3
0 3 1
1 3 1
3 2 3
3 2 0
2 0 0
10 2
2 4 4
0 0 3
2 0 4
1 4 2
1 1 3
3 0 0
3 3 3
2 3 4
3 0 2
4 0 2
10 3
4 3 3
1 3 2
4 4 2
3 1 3
0 4 0
2 3 3
2 2 2
1 2 4
0 3 4
2 4 2
10 3
3 1 1
0 3 1
0 2 2
2 0 3
1 1 1
0 1 1
2 0 1
0 2 1
0 2 3
2 3 2
10 2
1 0 4
3 0 1
4 4 2
1 4 3
2 3 0
3 4 2
1 1 0
2 0 3
0 4 2
1 4 2
10 4
3 5 3
4 5 2
3 2 5
0 0 2
2 4 4
0 1 1
4 0 5
0 2 4
0 3 2
5 5 0
10 7
0 2 2
1 2 2
2 1 2
1 0 1
1 1 2
0 0 0
2 0 1
1 1 1
2 1 0
0 2 1
10 5
5 0 3
1 3 0
2 4 3
4 5 0
1 2 5
2 1 2
0 0 5
5 5 2
4 2 1
3 2 1
10 9
2 0 2
1 2 2
1 1 1
2 1 0
1 1 0
2 1 1
1 0 1
0 0 2
0 2 2
0 2 0
10 3
1 4 0
3 4 4
4 0 0
0 2 5
5 3 5
1 2 1
3 2 5
0 3 5
3 2 0
1 4 1
10 8
3 2 1
0 4 4
4 0 4
2 1 0
3 4 1
4 1 2
2 3 2
3 4 0
0 4 0
0 2 3
10 7
2 1 3
1 2 3
3 3 2
1 2 0
0 0 1
0 0 0
2 1 1
0 1 3
0 1 0
3 3 3
10 8
1 2 1
0 1 1
1 0 2
0 0 1
2 1 1
1 0 1
1 2 0
0 2 2
0 2 0
2 0 1
10 3
3 3 3
2 0 2
0 1 3
2 0 1
1 0 2
0 3 1
0 0 2
0 0 3
1 2 2
1 0 1
10 8
2 3 0
2 0 0
3 1 1
3 1 2
1 0 2
3 0 3
2 1 1
3 3 3
1 2 1
2 3 3
10 3
0 1 1
0 1 2
1 0 0
2 1 0
2 0 0
2 1 2
0 1 0
1 1 0
2 1 1
0 0 0
10 8
1 0 0
2 0 3
3 1 2
1 2 2
0 3 0
2 2 3
1 0 2
2 2 0
0 1 1
1 3 0
10 3
1 0 0
0 1 2
0 1 0
1 1 2
2 1 1
2 0 0
0 0 0
1 2 2
0 1 1
1 2 0
10 5
1 0 0
0 0 2
2 2 1
0 2 1
0 1 2
1 2 1
0 2 0
0 0 1
0 0 0
1 1 1
10 9
1 4 1
0 4 1
0 4 2
0 3 0
4 1 0
4 4 4
2 4 1
2 0 1
3 2 4
4 0 2
10 5
1 1 4
4 4 2
3 2 1
5 3 1
3 2 3
2 5 3
3 3 0
1 0 5
0 2 3
0 5 1
10 6
2 2 1
0 1 2
3 2 0
1 3 1
1 1 2
1 3 0
2 2 0
2 1 3
3 2 1
0 1 1
10 8
5 3 3
3 3 1
1 1 3
4 3 0
4 5 4
3 2 3
5 2 5
1 4 4
3 1 3
5 5 5
10 4
0 2 1
3 2 1
3 1 2
1 3 0
0 1 3
3 2 2
2 0 1
2 0 2
2 2 2
3 1 0
10 7
4 5 3
3 2 5
3 3 5
0 5 3
5 1 1
3 2 3
2 1 3
2 4 3
2 3 5
3 1 5
10 3
3 4 1
4 2 5
0 1 0
4 4 4
5 2 0
1 1 2
2 3 0
2 0 2
5 1 5
3 4 3
10 5
2 2 0
4 2 2
1 5 5
1 3 0
2 5 0
2 0 2
5 5 0
1 3 2
5 4 4
5 5 1
10 5
0 1 0
3 1 2
1 1 3
0 2 1
1 3 2
0 1 3
0 0 3
1 1 1
2 3 1
3 2 0
10 8
0 2 1
0 1 0
1 2 0
0 2 0
0 0 1
2 0 1
2 1 0
0 0 0
1 0 0
1 1 0
10 5
0 2 0
1 0 0
2 0 0
1 2 1
2 1 0
0 0 1
2 0 1
0 0 0
0 0 2
1 1 2
10 2
1 3 1
0 4 0
2 4 0
2 1 0
1 3 0
0 3 1
3 1 0
4 3 1
2 2 0
2 4 2
10 6
3 0 1
2 1 2
2 1 1
2 2 2
3 1 2
4 2 4
3 2 3
1 4 0
2 2 4
4 4 2
10 4
1 2 0
2 1 3
1 0 0
2 1 2
1 3 3
2 3 2
2 1 1
2 2 0
2 2 2
0 0 2
10 6
3 5 4
2 2 3
4 2 1
3 2 0
3 1 0
1 1 0
4 2 2
4 5 0
1 2 3
0 3 0
10 2
0 1 2
2 4 5
3 0 5
5 5 0
2 5 4
3 0 4
1 3 1
5 4 1
5 3 4
5 2 5
10 5
2 2 2
1 3 4
3 3 2
2 0 3
2 4 1
0 3 3
1 1 0
2 4 2
4 1 2
0 1 3
10 6
2 4 3
3 5 1
2 3 4
5 3 4
2 0 0
4 4 0
4 0 4
4 0 5
3 4 2
0 1 4
10 8
5 1 1
5 2 2
3 3 3
1 1 2
4 4 0
1 5 1
0 2 3
2 1 1
0 4 0
0 3 4
10 7
0 0 0
2 1 1
0 2 2
0 2 1
2 2 0
1 0 1
2 0 1
1 1 1
0 1 0
1 1 0
10 7
4 2 5
3 1 3
1 0 1
4 4 3
1 0 3
0 4 2
5 4 0
3 1 5
1 0 0
2 4 5
10 3
0 3 2
4 3 0
2 4 2
3 3 0
0 2 0
4 2 2
3 0 4
2 1 1
3 4 1
0 3 0
10 4
3 1 2
2 3 1
3 1 3
1 1 2
1 3 0
1 0 0
0 3 3
1 2 2
3 3 3
0 0 3
10 7
5 0 1
0 5 3
2 2 1
0 2 1
4 1 3
2 5 3
3 2 2
0 5 5
0 1 1
1 5 2
10 8
3 2 2
1 2 0
0 1 3
3 0 3
0 3 0
3 0 0
0 0 2
1 0 0
1 2 3
0 3 2
10 6
2 0 4
0 1 5
3 1 2
4 1 4
3 1 1
0 5 2
2 0 5
1 0 3
0 1 2
0 4 1
10 9
4 1 3
3 1 1
4 3 4
2 2 4
1 0 3
0 1 1
4 2 2
3 4 4
3 0 4
2 4 0
10 6
1 1 0
0 3 3
0 1 1
3 3 1
0 3 1
1 2 3
1 3 0
2 0 0
0 2 3
3 2 0
10 5
2 3 3
0 2 2
3 1 2
1 3 1
0 3 3
2 2 2
4 3 1
1 0 3
1 3 0
0 1 4
10 3
2 0 0
0 1 1
1 0 1
0 0 0
1 1 2
1 2 1
2 0 1
2 0 2
2 2 0
0 0 1
10 9
0 3 3
4 1 0
2 1 2
2 1 0
2 0 3
1 4 0
0 4 4
3 4 2
4 3 3
0 4 2
10 2
2 0 3
3 1 1
3 3 1
2 1 2
3 3 2
0 0 0
3 0 3
3 2 3
0 1 1
2 1 0
10 9
3 1 4
0 2 0
5 0 0
2 2 4
5 3 2
5 3 1
0 2 1
1 5 4
2 0 2
5 5 1
10 4
0 3 3
2 4 2
3 4 1
3 3 1
1 0 3
1 0 0
3 0 0
1 1 3
2 2 4
3 2 0
10 9
2 0 2
2 0 1
2 0 0
0 2 2
1 1 1
0 0 2
2 1 2
2 2 1
0 0 1
0 2 0
10 9
0 1 1
1 0 3
3 2 3
2 0 2
0 1 2
1 3 0
1 0 1
3 2 2
2 1 2
0 3 0
10 3
1 3 0
3 0 1
3 2 2
2 1 2
3 1 2
1 1 1
1 1 0
2 3 3
2 3 2
1 3 2
10 7
0 2 0
2 1 0
1 4 3
3 2 1
2 1 3
0 2 2
3 3 0
1 2 3
3 0 0
3 3 1
10 7
1 0 1
0 2 0
0 1 0
2 2 0
0 1 2
0 0 0
2 0 1
0 1 1
2 1 0
2 0 0
10 6
0 1 0
2 0 1
2 1 1
2 1 2
0 0 2
1 1 1
2 2 2
1 0 2
0 0 1
2 2 0
10 3
3 2 4
0 0 3
0 2 0
1 3 5
2 3 0
0 3 2
5 0 0
2 2 3
5 1 5
5 1 2
10 4
3 2 3
0 3 2
1 0 2
0 2 3
2 1 3
3 2 1
3 3 3
1 1 1
2 1 0
1 3 0
10 5
3 2 1
2 4 0
5 0 5
0 3 1
2 1 0
4 0 3
4 1 1
4 2 2
2 1 2
3 4 2
10 7
3 3 1
2 3 4
2 4 0
4 4 3
3 1 3
4 0 1
2 3 2
1 2 2
3 0 0
4 4 0
10 8
4 0 2
3 0 2
0 2 4
2 0 0
2 3 3
5 5 2
0 2 2
5 0 1
5 1 2
3 5 1
10 4
4 3 1
0 4 4
0 3 2
4 4 2
3 4 3
0 4 0
1 1 2
3 2 1
1 2 3
3 0 2
10 8
5 2 4
3 4 1
1 0 2
1 1 4
3 3 0
0 3 3
0 4 1
1 2 0
2 0 5
5 4 3
10 2
0 1 0
2 0 2
2 2 1
2 0 0
0 1 2
0 0 1
2 2 2
1 2 1
2 1 0
1 2 0
10 4
2 0 1
2 1 1
0 2 2
1 2 1
0 0 0
2 1 0
1 0 2
2 0 2
0 0 2
0 1 1
10 9
1 0 0
1 3 3
2 0 1
1 1 0
1 0 1
0 3 1
0 1 0
3 0 1
2 1 3
0 3 3
10 2
3 2 0
0 0 0
0 2 1
3 1 0
1 3 2
1 0 2
0 3 1
2 0 2
0 3 0
2 1 3
10 5
0 2 0
2 0 1
1 2 2
1 2 0
1 1 0
0 1 0
1 0 0
0 1 2
0 0 0
2 2 1
10 3
4 0 0
4 4 2
1 0 3
3 0 0
2 0 3
1 4 2
3 2 0
1 2 1
1 3 3
1 2 4
10 7
0 0 1
0 1 1
0 2 0
1 2 0
2 1 0
2 2 2
2 0 1
0 2 1
1 2 2
1 0 0
10 5
1 0 2
0 2 2
1 2 0
0 0 1
2 0 0
1 1 1
1 1 2
1 1 0
2 0 1
0 0 2
10 3
0 2 0
3 3 1
0 3 0
3 3 2
3 0 2
1 1 2
1 2 1
0 0 3
2 2 2
0 0 0
10 9
4 0 3
2 0 0
1 0 4
2 0 4
1 4 3
2 4 1
4 4 2
4 1 0
3 4 0
4 3 3
10 5
3 1 0
2 1 0
1 1 2
0 0 2
0 3 0
2 3 0
1 0 0
0 2 3
3 2 3
3 3 0
10 3
0 1 1
2 0 2
3 2 0
3 0 2
0 2 2
3 2 2
0 0 2
1 1 0
2 1 1
3 2 1
10 2
1 0 3
3 3 3
0 0 3
1 2 3
3 2 4
0 2 4
1 3 3
4 3 0
3 2 3
4 3 2
10 2
1 5 4
2 0 4
3 1 5
2 2 2
3 1 3
0 3 1
4 2 4
2 5 5
3 5 2
4 3 1
10 7
5 5 1
2 2 4
5 4 3
1 2 4
1 4 4
1 3 3
0 4 5
2 0 2
1 4 3
2 1 4
10 6
1 0 2
0 1 0
0 2 1
3 1 1
3 2 2
2 1 0
2 0 3
3 0 3
3 2 0
3 3 3
10 9
5 4 0
1 1 5
1 5 2
1 0 2
0 4 3
2 4 1
2 1 4
3 3 2
3 4 1
1 2 3
10 2
1 3 2
3 4 1
0 0 1
1 1 2
0 2 0
1 3 4
2 2 1
1 4 3
1 4 4
0 1 1
10 9
3 3 3
1 3 5
0 4 2
3 0 0
4 3 5
5 2 0
1 5 0
4 3 1
0 4 5
5 4 2
10 5
3 3 0
1 2 2
2 1 0
2 2 2
1 1 2
3 0 3
1 2 3
1 3 2
1 1 3
1 2 1
10 8
2 5 5
4 0 5
2 3 2
2 4 3
0 2 2
0 3 5
1 1 0
0 2 5
0 3 4
0 5 1
10 6
0 0 0
0 0 2
1 3 0
0 2 3
0 1 2
2 0 0
3 1 1
0 2 2
1 0 2
1 1 0
10 8
2 5 1
3 5 3
2 4 4
0 4 0
5 0 4
3 5 5
4 1 4
1 5 1
0 0 4
1 3 5
10 6
1 0 5
1 2 4
0 2 3
5 0 2
1 2 1
3 4 1
0 1 1
1 3 5
4 3 2
0 5 5
10 2
0 2 0
2 5 0
0 3 2
1 0 0
5 5 4
3 5 2
5 0 4
5 5 0
5 2 1
2 4 5
10 9
1 2 1
3 0 2
1 1 1
0 0 1
3 3 1
1 0 1
2 1 0
2 3 1
2 0 0
0 3 0
10 7
3 4 1
2 2 3
1 1 1
0 4 4
4 4 1
4 3 1
3 2 1
1 0 0
2 1 3
1 0 3
10 9
0 2 0
0 2 1
2 0 0
1 1 1
1 0 1
2 2 1
2 0 2
1 0 0
0 0 2
0 0 1
10 8
3 1 1
4 3 0
0 2 4
2 5 2
5 0 3
4 2 4
5 4 0
1 1 4
3 0 1
4 3 5
10 2
3 2 2
2 3 0
1 2 0
3 1 0
3 1 1
2 0 1
0 2 3
0 1 1
1 1 1
3 3 0
10 8
0 2 1
1 4 2
0 0 4
0 4 0
0 0 1
2 4 0
4 4 3
0 3 2
2 0 3
0 0 2
10 9
2 1 3
1 2 1
0 3 0
0 2 3
1 0 2
0 3 3
1 3 2
3 0 2
0 2 1
3 3 3
10 8
2 2 3
5 0 4
1 4 1
0 5 3
0 1 2
3 1 5
5 4 0
4 0 1
1 3 4
0 5 2
10 7
1 0 2
2 0 3
1 3 0
2 2 1
1 2 1
1 2 2
0 0 3
1 0 3
2 2 3
3 0 0
10 3
1 0 0
2 0 0
0 2 1
1 2 1
0 0 0
0 0 1
2 2 0
1 1 0
2 1 0
2 2 1
10 4
3 1 5
1 5 0
3 1 1
4 2 3
2 3 1
2 1 5
1 0 0
2 2 3
5 4 2
0 5 4
10 8
1 2 0
4 3 3
4 0 0
4 4 0
1 5 5
1 0 3
4 4 1
2 4 2
1 3 0
3 0 3
10 7
0 3 0
2 1 0
1 4 2
0 3 2
1 1 2
3 2 1
0 0 4
2 4 4
2 1 2
3 1 4
10 2
0 1 1
2 1 1
0 2 1
1 2 0
2 0 1
2 2 2
2 0 0
0 0 1
1 2 1
0 0 2
10 7
1 0 2
1 0 0
1 2 1
1 2 0
2 0 0
2 1 2
1 1 2
2 0 1
2 2 0
0 0 1
10 8
0 2 1
0 0 2
2 1 2
1 2 2
1 0 2
1 0 1
1 2 1
2 1 1
0 1 1
0 1 0
10 8
0 0 2
0 2 0
2 0 1
2 1 2
1 2 2
2 1 0
1 1 2
0 2 2
2 1 1
0 1 0
10 3
1 1 1
2 1 1
1 1 0
1 0 0
0 2 2
2 2 1
1 0 1
1 0 2
1 2 2
0 0 0
10 3
3 2 1
3 4 1
1 3 2
4 1 0
4 2 2
0 1 1
4 1 2
2 0 3
1 1 2
4 1 4
10 7
2 1 1
2 2 1
0 0 2
0 2 2
2 1 0
1 1 2
1 1 1
2 0 2
0 1 0
1 0 1
10 4
1 1 1
3 4 0
0 2 2
3 3 4
3 1 3
0 0 0
3 1 0
4 1 1
2 1 2
4 4 4
10 3
4 3 4
1 2 0
2 3 5
1 1 3
5 3 0
0 3 4
3 5 1
1 1 4
1 4 0
4 1 3
10 8
3 1 2
1 1 1
3 3 1
0 0 0
2 3 0
0 3 1
1 0 1
0 2 2
0 1 0
3 0 0
10 7
1 3 3
3 1 0
4 4 1
2 1 2
1 4 1
3 0 4
0 2 2
4 0 4
4 3 2
3 3 2
10 7
0 3 2
0 1 1
3 5 4
2 0 3
2 4 3
5 3 2
3 0 3
5 0 1
2 2 1
4 0 2
10 4
0 2 0
2 2 3
1 0 1
1 1 2
1 2 3
1 0 3
0 3 0
1 0 0
2 1 1
2 1 2
10 3
0 1 1
2 0 1
2 0 0
1 0 1
0 2 0
1 2 2
1 0 2
2 1 2
0 2 2
1 0 0
10 9
2 0 0
0 3 2
3 0 2
0 2 2
3 2 1
0 3 3
3 2 0
3 3 1
0 2 3
0 1 3
10 8
1 0 0
1 2 2
2 1 1
1 2 0
1 0 2
2 2 0
2 1 2
0 1 0
1 2 1
0 1 1
10 9
0 0 0
0 3 0
2 2 2
2 3 3
3 3 1
0 3 1
3 1 0
0 2 0
0 2 2
3 0 3
10 5
2 1 0
0 0 2
1 0 4
4 3 0
0 0 3
4 0 0
0 2 4
1 3 1
3 3 4
2 3 1
10 5
2 2 4
1 3 1
0 1 3
4 2 3
0 3 4
4 4 0
5 1 0
5 1 4
2 3 2
5 5 2
10 4
3 2 0
1 1 1
0 0 1
3 3 0
1 1 3
0 0 0
1 3 1
0 0 2
1 2 0
2 2 1
10 6
0 2 2
1 2 2
2 2 0
0 0 0
0 1 0
1 0 1
2 0 2
1 1 1
0 2 0
2 0 1
10 6
3 4 1
4 0 1
5 0 3
1 1 0
1 0 5
0 3 0
4 2 4
1 2 5
3 5 0
5 5 4
10 3
2 3 0
1 2 2
4 4 2
2 4 3
2 0 2
2 4 1
4 3 0
1 0 1
4 1 0
0 2 1
10 3
2 4 4
1 4 4
1 0 0
1 0 1
4 3 2
1 2 4
1 3 0
1 3 3
2 1 3
2 0 3
10 4
0 1 2
3 1 4
1 4 2
1 3 2
4 4 0
4 2 1
2 0 1
1 1 2
4 4 3
1 4 4
10 9
0 0 1
1 0 2
1 2 0
1 2 1
1 1 2
2 0 1
2 0 0
1 1 1
1 0 1
0 0 2
10 8
4 2 1
4 3 5
2 1 3
2 2 3
3 5 4
2 1 4
2 1 0
5 0 3
3 3 5
1 3 2
10 3
1 3 0
3 1 1
2 0 2
3 3 0
2 0 0
0 1 1
2 1 2
0 0 3
0 3 2
0 0 1
10 9
4 1 1
3 0 5
3 5 1
1 5 0
4 3 1
4 2 2
0 3 5
2 0 3
2 3 0
4 3 3
10 3
2 2 2
2 2 0
2 2 1
1 2 0
1 2 1
0 2 2
1 1 2
1 1 1
1 0 1
2 1 0
10 5
2 0 0
2 2 0
1 1 0
0 2 0
2 0 2
2 0 1
2 2 2
0 2 2
0 0 2
1 2 1
10 6
0 1 3
2 1 3
2 3 0
2 1 2
1 2 1
2 2 0
3 3 0
1 0 0
3 1 3
3 0 3
10 4
1 1 1
0 2 3
2 3 2
0 3 3
0 0 3
0 3 2
3 2 3
0 2 0
1 3 0
0 3 1
10 7
2 3 1
1 0 0
0 2 2
4 0 0
0 0 1
3 4 0
0 4 4
0 1 2
2 2 1
1 1 0
10 3
5 5 1
2 0 1
5 2 4
5 2 5
1 0 3
5 3 5
5 0 5
3 1 5
0 5 1
3 2 1
10 7
0 1 1
2 2 1
1 2 0
1 0 2
1 1 1
1 2 1
0 2 2
0 0 2
1 0 0
0 0 1
10 7
0 2 2
2 0 3
3 3 1
1 3 2
1 2 0
1 3 1
0 3 1
0 1 3
2 0 0
1 1 1
10 3
1 0 2
2 1 1
0 2 2
2 1 0
2 2 0
0 2 0
2 0 2
1 1 1
0 2 1
1 2 2
10 4
2 3 3
2 1 2
2 2 0
0 3 3
3 2 2
3 3 0
3 3 1
2 3 2
1 2 3
1 0 1
10 9
0 0 1
0 1 0
0 0 2
2 1 0
0 2 2
2 0 0
2 1 1
0 1 2
0 2 0
2 0 2
10 7
1 0 4
0 2 2
2 3 0
1 1 2
1 2 3
1 2 0
2 3 4
2 3 1
2 4 0
2 1 4
10 2
1 2 3
0 3 3
3 3 1
1 2 2
0 0 2
2 3 2
1 0 0
0 3 0
2 0 1
0 2 3
10 4
0 2 0
1 1 1
0 1 0
1 2 0
2 1 2
0 2 1
0 2 2
1 1 0
0 1 1
1 1 2
10 7
1 2 2
1 0 0
1 1 1
0 0 2
0 2 1
2 0 0
2 2 1
1 1 0
1 2 0
0 1 2
10 3
0 3 4
3 0 0
3 3 2
2 3 4
4 3 4
2 4 0
2 3 3
0 4 3
0 4 0
4 2 1
10 2
1 3 2
3 1 0
1 2 1
2 2 2
0 1 2
3 3 2
0 0 0
0 0 3
2 3 0
0 3 1
10 9
4 4 1
3 3 3
2 2 2
4 1 2
4 0 3
4 0 1
0 4 1
2 4 0
3 3 1
3 4 1
10 3
0 5 4
4 0 2
2 1 2
0 4 1
2 0 4
2 5 1
2 4 3
4 2 1
2 3 4
1 5 3
10 3
1 1 2
2 2 1
0 0 1
2 1 1
1 1 1
0 1 1
2 1 0
1 2 1
2 2 0
1 2 0
10 6
2 5 2
4 5 3
3 2 2
0 1 3
3 4 3
1 0 0
3 4 1
5 5 5
4 1 1
0 1 5
10 5
2 2 5
3 0 4
4 1 4
5 3 2
4 0 4
1 4 0
3 2 5
5 0 2
2 0 2
1 3 2
10 2
3 2 0
2 1 1
3 3 3
3 0 3
1 2 2
0 3 3
3 1 0
3 1 1
2 2 0
2 2 1
10 9
0 0 2
2 2 2
1 2 2
1 1 0
0 0 1
1 0 2
1 0 3
2 2 1
0 0 3
0 3 1
10 6
1 3 1
4 4 0
3 5 1
2 1 3
0 0 0
0 0 3
3 0 3
5 0 4
4 0 1
4 1 0
10 8
2 2 2
5 5 1
5 0 5
4 4 1
4 1 5
5 2 0
0 5 1
1 1 4
0 5 5
4 2 3
10 6
0 4 2
2 0 2
4 1 2
2 2 2
2 3 2
0 2 4
2 1 0
2 0 3
4 1 3
4 0 3
10 8
2 1 1
1 2 2
2 2 2
1 2 1
2 0 1
2 0 2
2 0 0
2 2 1
1 1 1
2 1 0
10 8
0 1 3
1 1 2
1 2 3
3 4 0
3 3 4
0 2 2
1 1 1
3 4 4
4 0 2
1 4 4
10 8
4 1 1
2 2 5
0 3 2
0 4 3
4 0 5
1 5 1
1 0 1
0 5 0
0 0 0
1 0 0
10 2
0 2 1
1 2 2
1 0 1
1 1 0
0 0 1
1 1 1
2 2 1
0 2 2
1 2 0
2 0 1
10 5
3 2 0
0 2 2
3 3 3
1 1 2
3 3 2
2 0 0
1 2 2
1 1 1
3 0 3
1 0 0
10 8
2 3 2
0 1 3
1 3 3
2 1 2
2 0 1
3 0 2
1 1 2
2 2 0
3 1 2
3 1 1
10 9
0 0 2
0 1 0
2 0 1
2 1 2
0 2 0
1 0 1
1 2 1
0 2 1
2 2 1
0 0 1
10 9
1 3 3
2 1 3
3 0 1
3 2 0
2 2 0
0 0 0
2 3 3
3 3 2
2 0 1
3 1 0
10 3
2 0 2
2 2 0
2 0 0
1 2 2
0 2 0
0 1 1
1 1 2
0 1 2
1 0 0
0 0 1
10 9
2 1 3
4 4 0
4 0 4
0 1 0
2 0 3
4 3 3
0 2 4
1 2 0
2 0 4
4 2 0
10 8
3 1 3
1 2 2
2 2 2
1 2 3
1 2 0
0 0 0
1 2 1
2 2 0
2 0 1
2 0 0
10 5
0 3 2
1 3 3
2 1 0
3 1 0
1 2 0
0 3 1
1 1 0
2 2 0
0 0 3
0 1 3
10 3
0 0 1
3 2 2
1 3 1
3 0 3
2 3 3
3 3 0
1 0 0
1 1 3
2 1 0
2 2 2
10 3
1 5 4
5 4 1
1 1 4
2 1 0
5 5 5
5 4 4
2 3 3
4 0 5
4 0 4
2 2 3
10 8
1 0 5
4 5 5
2 3 4
4 4 2
3 4 4
4 1 0
5 1 1
5 1 2
0 0 4
2 4 3
10 5
2 2 1
0 1 1
2 1 1
0 2 1
1 1 0
2 0 1
1 0 1
0 0 0
2 2 0
0 1 0
10 4
2 1 4
0 0 4
0 1 4
4 3 0
0 3 1
1 3 1
3 0 0
2 0 4
3 2 0
1 4 4
10 5
1 0 2
2 0 0
2 1 2
2 1 1
1 2 1
2 2 0
1 0 1
0 2 0
1 2 2
1 1 1
10 8
1 0 0
0 2 1
2 1 2
1 2 2
2 2 2
0 0 1
0 0 0
1 2 0
0 2 0
2 0 1
10 5
1 1 3
0 5 1
5 2 4
5 1 4
4 5 5
2 5 4
3 4 4
1 1 0
4 0 2
3 5 1
10 5
4 1 2
1 3 2
2 3 1
2 1 0
2 1 4
3 4 0
2 0 2
1 1 3
2 0 4
0 3 3
10 7
0 1 2
0 2 3
4 2 3
3 4 4
4 0 3
2 3 1
4 3 0
4 2 2
2 4 0
1 2 0
10 5
1 0 1
3 3 2
2 2 0
3 0 3
0 1 2
2 1 2
2 3 0
2 1 3
0 2 0
3 1 2
10 3
2 0 1
1 1 0
1 1 2
0 2 1
0 0 1
1 2 0
1 0 2
0 0 2
2 1 0
0 2 2
10 7
0 2 0
1 2 0
1 2 2
0 1 2
2 2 0
2 1 1
1 1 1
2 2 1
0 0 1
1 0 0
10 8
3 1 2
3 1 0
1 1 3
3 1 3
4 2 2
4 3 2
4 3 3
4 0 2
0 1 2
1 4 1
10 2
1 2 2
1 0 2
0 2 1
1 1 2
2 1 0
2 0 1
2 2 2
1 2 1
2 1 2
2 2 0
10 2
1 2 5
4 5 5
4 2 4
2 2 3
0 5 4
1 5 5
3 5 1
0 1 2
4 0 1
2 2 2
10 8
2 2 3
3 3 1
3 3 0
0 1 0
3 2 3
3 1 0
0 3 0
0 2 2
2 0 3
0 2 0
10 7
4 2 1
1 2 2
5 5 1
0 3 0
5 5 3
1 3 5
1 1 2
4 0 3
5 0 3
2 4 4
10 6
2 2 0
4 2 0
1 0 2
1 4 1
0 3 2
4 2 4
2 4 4
3 2 2
4 3 2
2 0 0
10 7
2 3 0
0 0 1
0 3 0
3 0 0
2 1 0
2 2 0
0 3 1
2 1 2
1 1 0
3 3 3
10 6
3 3 3
1 4 0
2 1 2
2 3 1
4 4 4
3 4 4
4 4 2
1 0 4
3 1 0
3 2 1
10 3
3 3 1
1 0 4
5 5 2
5 1 5
0 4 0
1 3 2
1 1 5
2 4 0
0 2 3
1 4 1
10 9
1 2 0
2 0 3
2 1 0
2 3 1
1 1 1
2 2 2
1 3 2
3 3 2
3 1 3
3 2 1
10 6
1 1 0
0 1 2
0 1 0
2 2 2
1 1 2
2 2 0
1 0 0
1 1 1
0 2 1
1 0 1
10 2
2 3 3
2 2 2
0 3 0
2 3 1
1 2 1
3 3 0
2 1 0
3 0 0
3 1 2
2 1 4
10 5
0 3 4
1 2 2
1 3 1
2 2 0
2 3 0
0 1 0
3 3 3
0 3 0
4 3 1
0 0 2
10 6
3 5 2
1 1 1
4 1 1
1 1 0
5 0 3
5 4 5
0 4 0
2 4 3
2 3 1
2 0 3
10 8
2 2 1
0 1 1
2 2 2
1 1 1
1 2 2
0 0 0
1 0 2
1 0 0
0 0 2
1 1 0
10 5
0 4 1
1 2 2
3 2 0
3 1 0
3 1 4
2 3 0
4 0 1
1 1 4
3 0 2
1 0 2
10 5
4 0 5
4 4 5
3 5 4
3 1 0
5 2 3
5 4 4
0 4 2
4 5 4
5 0 5
0 3 4
10 6
0 0 0
0 2 1
1 0 2
2 0 0
1 2 0
1 0 1
0 0 2
2 1 2
0 2 2
2 0 2
10 8
2 0 0
2 2 0
0 0 0
1 0 0
1 0 2
2 2 1
0 1 2
1 1 2
0 1 0
1 2 2
10 8
1 1 1
2 2 2
0 0 1
2 2 0
1 0 1
1 0 2
1 2 2
1 0 0
2 1 0
2 1 1
10 3
2 1 0
1 0 0
1 1 2
2 2 0
2 1 2
0 0 2
1 2 0
1 0 2
0 2 2
0 0 1
10 2
2 4 1
3 0 0
0 3 4
3 1 1
0 2 1
2 4 2
1 3 3
0 2 4
3 0 1
1 4 4
10 6
1 4 4
2 0 4
4 1 0
1 1 3
4 3 2
0 1 1
3 1 0
4 4 2
1 2 3
4 2 0
10 6
2 0 1
0 2 0
2 2 0
1 2 2
0 1 0
0 1 2
1 2 1
0 0 1
0 0 2
1 0 2
10 5
2 3 3
1 4 2
0 1 5
2 4 0
1 0 3
3 2 2
1 0 0
1 2 0
4 3 0
4 1 5
10 6
0 2 2
2 3 1
3 4 3
0 4 2
0 4 0
3 3 4
2 1 4
2 0 1
0 3 2
3 3 2
10 9
3 0 3
1 3 3
2 3 0
1 1 3
3 2 0
3 3 0
2 3 3
1 2 1
1 1 1
2 1 3
10 4
3 1 2
1 0 0
1 3 4
2 4 1
2 1 4
4 1 4
0 0 4
0 2 1
3 4 2
1 1 0
10 6
2 5 4
5 1 5
0 2 4
2 5 0
4 1 2
2 2 3
3 0 4
4 1 5
3 1 2
2 4 3
10 3
3 0 4
0 2 2
4 3 4
2 4 0
4 2 4
4 1 4
2 0 0
2 2 1
2 3 4
2 3 2
10 5
1 3 0
2 3 3
3 0 1
1 2 3
1 1 2
3 3 0
3 1 0
1 1 1
3 3 2
0 0 1
10 3
1 2 2
1 0 2
2 1 0
0 2 1
2 2 2
0 2 0
2 0 2
0 1 1
1 1 1
0 0 2
10 2
5 1 5
5 1 4
3 5 5
5 0 3
0 4 2
2 3 3
5 0 4
5 4 3
4 1 1
0 0 0
10 3
2 4 0
0 3 4
0 0 1
2 1 0
4 3 3
2 1 2
4 4 2
4 0 4
4 4 3
2 1 3
10 9
2 0 0
0 2 1
2 2 0
2 2 2
0 1 1
1 0 1
1 2 0
1 0 2
0 0 1
2 1 1
10 5
0 0 1
0 1 1
1 2 2
2 2 0
2 1 1
1 0 0
2 1 2
1 1 2
2 0 2
1 0 2
10 9
1 3 2
0 1 1
2 3 3
0 0 1
0 3 0
3 0 3
1 0 3
0 1 3
1 2 2
0 3 3
10 2
0 0 0
1 1 0
0 1 0
3 0 1
3 3 3
0 0 1
0 1 2
3 1 1
2 0 3
0 2 0
10 9
2 2 1
3 3 0
2 0 0
2 0 1
1 1 3
2 1 2
4 3 1
4 4 1
0 4 0
3 4 0
10 7
5 2 0
0 3 4
1 4 3
1 5 5
5 3 5
0 5 1
4 1 2
2 5 0
4 3 1
3 0 0
10 3
0 0 2
2 2 0
1 2 2
0 1 0
1 1 0
0 0 1
0 1 1
0 2 1
0 0 0
2 1 2
10 9
1 1 0
2 1 2
1 1 1
0 1 2
2 0 2
1 0 1
0 2 1
2 0 1
0 2 0
1 2 1
10 5
2 1 3
3 1 2
2 2 3
2 3 2
2 1 0
3 4 2
3 4 3
0 0 3
2 3 4
0 0 2
10 2
0 1 3
5 5 4
0 4 4
3 5 5
4 4 1
4 1 3
1 4 0
3 0 4
4 2 0
5 2 1
10 8
0 0 1
2 0 0
1 2 0
2 0 1
0 0 0
1 1 0
0 1 0
0 1 2
1 0 0
1 2 1
10 6
2 0 0
1 0 1
0 0 0
1 2 2
0 2 1
0 2 0
2 2 0
0 1 0
1 0 0
1 2 0
10 9
3 1 0
1 4 0
3 2 3
2 0 2
0 4 4
2 3 3
3 0 0
1 0 2
2 0 3
3 3 4
10 6
0 1 1
2 2 2
2 2 0
3 0 2
1 1 2
3 3 1
2 2 3
3 1 2
1 0 1
2 0 3
10 3
1 2 2
0 0 1
2 2 0
0 2 1
1 0 2
1 1 1
0 2 0
1 1 0
0 2 2
0 0 0
10 9
0 0 0
2 0 2
1 1 2
2 0 0
2 0 4
1 0 4
3 0 0
4 4 4
3 0 3
4 3 0
10 8
0 0 2
1 2 2
1 0 0
2 0 2
1 1 2
0 0 0
2 0 0
1 0 1
0 2 1
1 1 0
10 2
3 3 4
0 0 3
2 3 3
1 0 3
3 1 4
3 1 1
1 0 1
2 2 1
3 0 4
1 3 4
10 4
4 1 1
1 3 3
0 0 1
4 4 0
2 1 3
1 4 2
1 4 4
2 3 2
0 4 1
1 1 4
10 3
0 0 0
2 1 2
1 2 2
0 1 0
3 1 0
0 2 1
2 2 1
0 0 3
2 3 2
3 3 1
10 5
2 0 2
2 2 2
2 0 3
3 2 2
1 3 2
1 2 3
3 1 2
2 3 3
3 2 0
1 1 3
10 9
5 5 3
2 5 1
0 3 0
2 3 1
1 3 3
1 4 5
4 3 5
1 5 2
0 3 5
1 0 2
10 3
0 2 0
1 2 1
0 0 2
2 1 1
0 0 1
1 1 0
2 1 0
0 0 0
1 2 2
0 1 0
10 9
0 1 3
1 0 0
1 0 1
0 3 3
1 2 0
0 3 0
2 1 1
2 0 0
3 2 3
1 0 2
10 6
3 0 3
0 1 3
3 1 3
3 2 1
1 3 2
1 1 3
1 0 3
0 3 0
0 3 2
2 3 2
10 4
3 1 2
1 3 2
0 2 3
2 3 3
3 2 0
3 1 0
1 1 2
1 0 1
1 1 0
2 0 2
10 9
3 4 2
1 0 2
3 1 3
1 2 2
3 4 4
0 1 4
3 2 2
3 0 0
0 2 0
2 3 3
10 4
1 1 5
3 1 5
0 3 1
4 2 3
5 4 0
1 2 4
4 5 2
3 5 4
5 0 0
5 0 1
10 3
1 2 2
0 1 1
2 1 1
1 0 1
0 2 2
0 0 1
1 1 2
2 0 1
0 1 0
0 0 0
10 6
1 0 2
0 2 0
1 2 2
2 0 0
1 2 0
0 2 2
1 0 1
1 2 1
2 1 2
0 1 1
10 8
3 0 1
1 2 1
2 3 2
2 0 2
2 0 3
3 2 3
3 3 3
1 2 2
2 1 3
3 1 2
10 4
5 4 0
1 2 3
5 2 0
2 4 4
4 3 4
0 3 3
0 5 3
0 5 5
1 4 2
3 4 1
10 8
4 4 1
3 0 2
1 0 3
0 2 2
4 0 3
1 0 1
4 3 3
1 1 0
1 4 1
1 1 4
10 2
3 4 1
1 0 4
3 2 3
1 4 4
4 2 4
1 2 0
4 0 4
3 1 1
4 4 2
1 2 1
10 2
0 0 2
4 1 1
0 2 2
3 1 0
0 4 3
4 2 2
4 3 4
3 4 2
1 1 2
1 3 0
10 2
2 0 3
1 1 0
0 0 1
1 0 3
3 0 0
3 2 1
2 3 3
3 3 2
3 1 1
0 1 3
10 5
1 0 1
0 2 2
2 2 1
0 2 0
0 2 1
0 1 2
0 1 0
0 0 2
2 1 2
1 1 0
10 5
3 1 0
3 1 3
0 2 2
0 3 1
3 1 2
0 3 0
3 2 2
1 2 1
0 0 0
2 1 2
10 4
4 2 0
3 4 3
2 0 2
1 0 2
4 1 3
2 2 2
1 2 0
3 1 4
1 2 2
3 4 0
10 9
2 1 4
0 4 2
1 4 4
1 4 0
3 1 2
4 4 2
0 3 0
1 3 4
1 2 1
1 2 4
10 6
2 1 2
0 1 2
0 1 1
0 2 1
0 0 2
0 0 0
1 1 2
2 1 0
2 2 1
1 2 1
10 9
1 3 2
2 0 2
1 2 2
3 0 1
0 0 0
0 1 1
0 3 2
3 2 0
0 0 2
3 2 2
10 7
0 4 1
1 2 2
2 1 2
3 2 1
0 2 1
4 0 0
0 3 3
0 3 0
0 0 2
3 2 0
10 2
2 4 4
4 0 0
3 1 1
2 2 0
2 0 1
1 0 0
2 3 3
4 4 1
0 2 0
1 4 2
10 9
1 3 0
1 4 1
1 0 1
1 3 3
1 1 1
0 1 4
1 2 3
2 0 1
3 0 1
3 2 2
10 8
2 2 0
1 2 2
0 0 0
1 0 2
2 1 2
2 1 0
2 0 0
0 1 1
1 1 0
0 1 0
10 4
2 2 0
3 1 1
0 2 2
2 1 2
1 1 2
3 0 1
1 2 0
0 0 2
0 2 0
3 3 0
10 6
2 1 0
0 1 0
0 2 0
2 1 2
1 2 0
0 2 2
1 1 0
0 0 2
2 2 0
2 0 1
10 4
5 1 0
4 3 2
0 0 5
1 1 5
4 3 5
3 1 3
5 0 0
3 0 5
3 1 5
5 5 4
10 9
0 4 3
5 1 0
1 0 5
4 3 1
2 0 3
0 4 1
3 0 3
2 4 0
5 1 1
1 3 5
10 9
4 0 2
4 1 0
0 4 4
3 4 0
1 3 1
4 3 1
0 0 4
0 1 1
2 2 1
1 0 4
10 6
2 1 0
1 2 0
2 0 1
1 1 0
0 0 1
1 2 1
0 1 0
2 0 2
0 2 0
2 1 2
10 4
0 1 0
0 3 2
1 1 2
1 2 3
3 2 0
0 0 1
0 1 2
2 2 2
3 3 3
2 3 0
10 6
3 2 4
3 4 1
4 0 3
4 3 4
4 4 3
4 0 4
1 3 0
2 2 4
1 2 1
3 2 0
10 9
2 1 0
3 0 3
0 3 3
2 2 2
1 2 1
2 2 1
2 1 2
1 1 1
2 1 3
3 2 3
10 5
0 2 3
0 5 4
0 5 2
2 5 3
0 0 1
4 5 5
5 1 3
4 1 2
3 2 2
0 4 0
10 6
2 0 2
1 1 2
0 0 2
0 0 0
1 2 1
2 1 1
1 2 0
1 1 0
1 0 1
0 1 2
10 2
0 1 5
2 2 4
5 5 2
5 4 3
2 4 1
0 0 1
4 5 4
2 5 0
1 3 0
4 4 1
10 5
1 1 1
1 3 0
2 1 0
0 3 1
0 1 1
2 0 0
1 0 1
0 2 0
1 3 2
1 3 3
10 6
2 1 0
0 2 0
2 1 2
1 0 0
1 2 1
2 2 2
2 2 1
0 0 0
1 2 0
0 0 1
10 4
1 3 3
3 2 3
3 2 2
2 1 0
3 3 3
2 0 0
2 0 2
2 3 0
1 0 1
2 3 3
10 2
1 0 0
0 1 1
3 2 3
1 3 1
0 2 3
3 1 3
0 3 1
0 0 0
2 1 1
0 3 2
10 9
3 0 0
0 2 1
4 4 1
4 1 3
3 2 2
1 3 0
2 3 0
2 2 2
2 3 1
0 1 2
10 9
2 2 2
0 0 0
2 1 1
0 1 2
1 1 1
2 1 2
0 1 1
1 0 1
0 1 0
1 1 2
10 8
4 2 1
3 4 1
0 4 0
3 2 4
2 3 1
3 2 2
1 4 1
3 3 3
1 2 1
4 0 4
10 6
3 0 4
0 5 0
3 2 4
4 3 1
0 5 5
3 3 5
2 2 0
0 5 2
3 5 0
0 4 4
10 5
4 1 2
1 0 1
3 1 0
1 0 3
3 2 1
1 1 3
4 0 2
0 1 3
2 0 4
1 1 0
10 7
2 1 2
3 2 4
1 1 0
4 1 1
0 4 4
2 3 1
2 4 2
3 4 1
0 1 2
2 1 3
10 5
2 2 0
0 0 2
1 1 1
0 0 1
0 1 1
2 1 2
1 0 0
2 0 1
1 2 0
1 0 1
10 8
3 0 2
0 2 2
1 1 2
2 3 2
4 3 0
0 3 3
2 2 0
0 0 0
4 1 4
0 0 3
10 3
2 3 1
3 1 0
1 3 3
0 0 2
1 1 1
3 1 3
2 2 1
3 3 2
2 2 2
3 2 3
10 3
3 3 0
0 3 0
0 0 0
4 4 4
3 4 2
0 4 0
3 0 4
3 1 1
2 0 3
0 0 4
10 7
2 2 2
0 1 2
2 1 1
0 2 0
1 0 2
0 1 0
1 2 1
2 1 2
1 0 0
1 0 1
10 8
2 4 1
4 0 3
2 4 4
3 2 2
3 1 3
3 3 1
1 1 4
4 3 0
3 0 0
3 0 2
10 2
1 5 5
1 1 1
4 0 2
0 3 4
3 5 3
0 3 0
4 4 4
5 4 0
5 3 2
3 4 3
10 6
3 2 1
2 2 0
1 0 5
1 2 3
3 4 0
2 0 5
0 0 4
4 1 1
2 4 3
1 3 3
10 8
5 2 4
3 1 2
2 1 1
0 3 2
2 5 0
3 4 1
1 2 0
4 3 0
2 1 4
0 0 1
10 2
0 1 0
2 4 0
2 3 3
4 3 3
4 4 4
4 3 1
0 4 0
1 0 2
0 0 0
3 2 3
10 3
2 2 4
0 2 4
0 2 3
2 2 3
3 3 3
1 4 3
4 3 3
4 1 1
3 2 0
0 4 2
10 4
1 3 1
3 0 1
1 2 0
2 0 3
1 0 1
0 2 1
0 1 2
2 1 1
0 2 3
0 0 0
10 3
1 0 0
0 3 0
4 4 4
4 1 2
3 5 0
3 1 4
2 2 3
2 3 5
3 5 3
3 1 3
10 7
0 0 0
2 0 1
1 1 2
2 2 2
1 2 1
2 2 1
1 2 0
2 0 0
2 2 0
1 1 0
10 8
1 1 0
0 1 3
0 2 3
3 1 2
0 0 1
3 2 2
2 0 2
3 3 3
1 2 0
2 2 3
10 7
2 1 1
0 2 0
0 2 2
2 1 2
0 1 1
1 0 2
0 2 1
0 0 0
1 2 2
2 2 1
10 3
0 0 1
0 0 0
2 0 2
1 0 1
0 2 1
2 2 1
2 2 0
1 0 2
0 1 0
1 1 1
10 3
1 4 4
0 2 1
4 4 1
1 1 4
2 1 0
4 3 2
0 4 2
4 1 4
3 4 4
3 4 0
10 4
1 2 2
0 0 1
1 1 0
0 2 1
0 0 0
2 2 1
2 0 0
0 1 1
0 2 0
0 0 2
10 3
3 2 1
4 3 1
2 4 2
3 1 0
4 4 2
0 2 2
1 0 0
0 0 4
4 2 1
1 2 4
10 2
0 3 1
3 0 0
1 2 0
1 0 3
2 3 0
0 3 2
2 1 0
0 0 1
1 1 0
1 3 0
10 6
3 2 1
3 1 1
1 3 2
3 1 3
0 3 2
2 3 1
1 3 3
3 3 1
2 2 1
3 3 0
10 3
0 0 3
2 3 0
2 1 1
3 1 1
2 2 1
3 1 2
1 0 2
3 1 0
3 2 2
1 0 3
10 2
1 1 3
1 0 3
0 0 1
2 2 1
1 2 3
0 3 0
2 2 2
2 3 3
2 0 1
0 1 0
10 8
2 5 0
0 3 4
3 4 2
1 3 1
4 1 1
4 5 2
3 5 0
4 3 4
0 2 3
4 0 1
10 7
1 1 1
0 1 1
2 1 2
1 0 1
1 1 0
0 2 1
1 0 0
1 1 2
0 0 0
2 2 0
10 6
0 1 5
0 5 1
4 4 2
0 3 2
4 4 5
3 3 3
2 0 3
2 2 2
5 5 3
1 0 2
10 7
3 2 2
1 3 0
1 0 5
1 4 0
1 4 5
5 3 1
0 1 2
4 3 5
5 1 5
2 2 2
10 7
0 0 2
3 1 2
0 0 1
3 3 3
1 1 3
3 1 3
0 3 2
3 3 1
0 3 3
0 3 0
10 2
0 2 1
4 4 2
3 3 2
0 0 2
4 1 2
1 2 2
0 1 2
2 2 1
2 2 3
4 4 4
10 6
3 3 3
0 3 0
0 2 3
0 1 2
2 0 2
0 0 3
1 2 0
3 2 3
1 1 3
3 1 0
10 4
2 0 0
0 2 0
1 0 1
0 2 1
1 0 0
2 1 0
0 2 2
2 2 0
2 2 1
1 1 2
10 9
3 4 3
4 4 4
0 0 0
4 2 1
2 1 0
2 2 0
0 1 1
4 3 2
3 2 4
1 3 3
10 3
1 0 1
1 0 0
1 0 2
2 0 1
0 0 0
0 1 2
2 2 1
2 1 0
0 1 1
0 1 0
10 5
3 2 1
2 3 0
0 0 3
2 0 3
2 1 1
3 3 1
1 2 3
3 3 3
1 3 1
2 0 1
10 6
5 1 1
5 4 3
5 3 4
1 2 2
1 1 4
3 1 1
0 4 1
0 3 0
2 1 5
0 5 4
10 3
2 5 1
4 2 0
4 4 2
1 4 0
0 0 5
0 4 1
4 3 2
4 3 0
3 1 2
0 5 4
10 6
3 2 0
1 3 2
3 1 2
0 2 1
3 3 0
2 3 0
0 2 2
0 0 1
1 3 1
0 1 0
10 4
0 3 1
2 3 3
0 3 0
3 3 0
0 1 1
1 0 1
0 0 1
3 1 2
3 0 2
0 2 2
10 2
4 1 3
2 2 4
3 2 3
2 3 0
4 2 3
2 4 2
3 4 4
4 0 2
1 2 0
0 3 0
10 4
1 2 2
2 1 0
0 2 0
1 1 1
0 0 0
0 2 1
1 0 2
1 1 2
0 0 2
0 1 1
10 6
3 0 3
0 0 3
4 1 0
4 3 2
5 4 4
0 1 2
0 4 3
5 1 2
0 1 3
5 4 2
10 7
0 0 0
1 2 0
2 1 1
0 2 0
0 1 1
1 0 1
1 2 1
2 0 0
2 1 0
0 2 2
10 4
0 2 2
0 3 3
2 0 2
1 1 0
4 1 2
3 0 0
4 4 0
1 2 4
1 1 2
3 2 0
10 3
2 2 1
2 0 4
4 4 2
0 4 4
0 0 3
2 4 2
3 1 3
1 4 2
2 3 4
3 2 1
10 4
4 1 2
5 3 3
3 5 3
4 0 1
0 2 4
2 3 5
3 5 2
3 4 4
1 3 5
4 1 1
10 8
3 0 2
2 1 3
0 2 1
1 1 3
0 3 2
2 0 0
1 0 1
2 2 2
0 3 3
1 0 3
10 7
1 3 4
4 3 0
3 4 4
2 4 4
4 3 2
2 0 0
0 3 4
3 3 0
0 0 3
1 0 3
10 4
0 1 0
1 2 1
3 0 0
1 3 2
2 2 3
3 0 3
0 3 2
3 3 0
0 3 3
3 1 3
10 9
2 1 1
0 0 1
0 1 2
2 1 0
1 0 2
0 2 1
1 2 1
0 0 0
0 1 1
2 1 2
10 6
0 4 2
2 3 3
2 0 0
1 1 3
1 3 3
0 4 3
3 3 4
3 4 1
2 3 0
1 1 2
10 9
4 3 1
4 4 4
0 4 1
0 0 2
1 4 0
1 3 4
3 2 1
4 4 2
1 4 2
3 3 3
10 2
2 5 2
3 2 4
3 2 5
4 3 5
4 5 4
4 3 2
3 2 3
1 5 1
2 1 4
1 5 2
10 4
0 3 2
4 1 4
3 1 3
2 3 1
1 1 0
0 3 3
1 3 1
1 2 0
4 3 1
3 1 2
10 6
4 3 2
3 0 3
3 2 0
4 1 2
2 4 4
2 3 4
3 0 2
4 4 3
1 2 1
3 0 1
10 2
1 4 4
0 0 4
3 2 2
0 1 4
2 1 1
0 4 3
1 1 4
1 4 0
0 4 1
1 4 1
10 4
0 5 5
1 1 1
3 2 0
0 4 1
4 5 5
1 0 2
0 5 3
4 0 4
3 3 3
3 3 2
10 4
0 2 4
0 2 2
2 2 4
3 3 4
3 0 3
3 2 1
3 2 2
2 3 0
4 0 1
1 1 2
10 3
0 2 3
1 3 2
3 0 0
0 3 1
0 3 3
3 2 0
0 1 3
2 2 3
2 0 1
3 0 1
10 8
4 3 3
0 4 1
5 4 4
1 5 4
1 1 3
5 4 1
1 2 5
0 5 3
0 5 2
3 2 1
10 7
3 2 0
0 3 1
4 5 1
3 1 5
5 2 0
5 4 4
4 4 0
3 1 1
0 1 1
2 1 4
10 6
2 1 4
2 4 3
4 3 1
1 0 0
4 1 4
1 4 3
1 3 2
1 0 3
3 3 4
3 3 1
10 4
4 3 1
1 5 5
0 5 0
1 0 4
3 3 5
1 1 5
1 1 2
3 0 5
3 5 2
0 2 3
10 6
0 1 0
0 1 1
2 1 3
2 0 0
0 2 3
1 0 0
1 0 1
3 3 3
3 3 1
0 3 1
10 7
5 4 1
2 1 5
5 3 5
1 0 1
0 5 1
3 1 1
2 2 1
4 3 0
2 1 4
4 2 5
10 3
1 2 2
0 1 0
2 2 0
2 0 1
1 0 1
0 2 0
0 0 0
2 1 2
1 1 0
0 2 2
10 5
2 0 1
1 0 1
2 0 2
1 3 1
1 2 3
1 1 2
3 1 3
3 3 3
3 2 0
0 2 0
10 5
0 1 1
1 0 1
2 3 0
0 2 1
2 1 2
2 3 2
3 3 3
1 1 0
0 3 2
1 2 2
10 8
1 2 1
3 0 5
3 1 0
1 2 3
4 1 0
1 2 4
1 0 2
3 3 2
5 3 2
5 0 2
10 8
3 0 1
2 0 2
4 2 4
4 0 4
0 0 0
3 2 1
3 3 4
3 1 0
1 2 0
0 3 3
10 2
1 3 2
2 3 2
1 0 1
4 0 4
4 2 3
2 3 4
1 1 4
1 4 2
2 4 4
0 4 3
10 9
4 2 1
4 1 3
0 2 4
0 2 1
0 0 3
1 2 0
3 4 2
3 2 1
2 1 2
1 0 2
10 9
2 2 2
1 1 0
0 1 1
0 2 1
1 0 1
0 1 2
0 2 2
2 2 0
1 0 2
0 0 2
10 3
4 0 5
0 4 0
2 0 1
0 5 4
5 0 5
0 1 3
5 5 4
0 2 3
2 5 2
1 4 4
10 6
1 2 0
1 3 1
1 3 3
0 3 2
0 0 2
0 1 1
0 2 1
1 2 3
2 2 1
0 3 0
10 5
2 1 1
2 2 2
1 0 2
0 0 2
1 0 1
0 2 2
0 2 1
1 1 2
1 1 0
0 1 0
10 9
0 0 5
0 2 4
3 1 2
0 1 0
3 4 4
5 5 5
3 0 2
3 4 3
2 1 4
2 0 2
10 6
4 5 1
3 4 3
3 1 5
2 5 4
4 0 5
3 1 2
5 2 3
0 2 5
4 2 1
3 2 2
10 5
0 4 2
3 4 4
2 0 3
2 2 0
2 0 0
4 2 0
1 3 3
0 3 3
4 2 1
1 2 0
10 6
5 1 2
5 2 5
4 3 0
5 4 5
0 3 3
0 3 2
2 4 4
2 2 3
1 5 5
4 3 3
10 8
1 0 2
2 1 2
1 2 3
0 2 0
3 3 3
3 0 2
0 2 1
0 2 2
1 1 3
1 1 0
10 3
3 0 1
4 1 4
4 0 2
4 0 0
2 4 3
0 3 2
2 0 1
4 3 4
3 2 3
1 4 3
10 9
1 1 0
1 0 2
0 0 0
0 1 0
2 1 2
0 1 1
0 2 0
0 2 2
1 2 0
0 2 1
10 4
3 3 5
1 4 3
2 2 5
5 5 3
1 3 2
4 5 3
0 4 3
4 1 4
0 2 0
0 3 3
10 9
2 1 4
4 0 1
1 0 5
4 5 4
1 0 1
1 1 5
1 0 3
0 3 5
4 4 3
3 1 5
10 3
0 2 0
1 0 2
0 2 2
1 2 2
1 2 0
0 1 0
2 0 2
2 0 0
1 1 2
0 0 2
10 3
2 0 1
0 3 4
3 0 2
0 2 5
2 4 1
3 4 3
3 0 1
5 1 2
2 2 5
1 5 5
10 5
3 2 2
3 3 3
1 1 0
2 1 3
3 2 3
2 3 1
0 0 2
1 2 0
0 0 0
1 0 3
10 8
1 0 2
1 2 0
2 0 2
0 2 1
1 0 1
2 2 0
2 1 0
1 0 0
2 2 2
2 2 1
10 6
2 0 0
5 1 3
5 2 0
2 1 5
4 3 0
0 4 4
0 3 5
5 3 1
2 5 2
1 1 2
10 7
3 0 0
0 0 0
1 3 1
0 2 2
3 0 2
2 1 3
0 3 1
0 1 0
1 0 1
3 1 0
10 2
5 5 1
5 4 5
5 1 4
0 4 0
2 5 5
5 5 3
0 3 0
0 1 2
4 0 4
0 2 0
10 2
1 2 3
3 2 0
0 2 1
4 2 4
1 0 1
0 3 1
4 1 2
4 4 3
0 0 1
1 2 4
10 2
0 2 3
0 0 3
1 2 0
1 0 0
1 2 1
3 2 2
3 1 2
0 3 3
2 3 3
1 0 2
10 5
2 0 0
1 2 2
2 1 0
1 2 0
1 1 2
0 2 0
2 1 1
1 0 2
0 2 2
1 0 1
10 8
0 2 0
2 2 0
0 0 2
2 0 1
1 2 0
1 1 2
2 2 1
0 1 1
2 1 0
1 0 1
10 5
0 1 2
3 2 0
2 3 3
2 0 2
0 3 2
2 2 0
0 1 1
0 3 0
0 2 0
1 2 0
10 2
2 1 1
2 1 2
1 2 0
0 2 0
2 0 2
0 1 2
1 2 1
1 2 2
2 2 1
2 2 0
10 2
1 1 1
1 1 2
1 2 1
0 0 2
0 1 2
0 1 0
2 1 1
0 1 1
1 0 1
1 2 0
10 4
2 2 3
1 2 0
1 1 3
3 2 1
0 4 2
4 0 0
1 0 3
4 3 4
0 0 2
3 0 1
10 4
2 2 1
3 0 3
2 3 1
3 3 0
1 0 3
0 0 3
3 2 1
0 1 3
0 1 1
1 0 0
10 3
3 2 2
0 4 2
1 0 2
2 3 0
1 1 3
4 0 4
2 4 2
1 2 2
3 1 0
3 2 4
10 2
0 1 1
0 2 2
1 2 0
2 0 2
1 1 1
2 1 1
1 0 1
2 2 1
2 2 0
2 1 2
10 7
0 2 0
3 0 0
2 4 0
3 4 1
2 0 0
0 4 2
4 1 2
4 3 2
2 4 2
2 2 1
10 2
2 3 3
3 0 0
3 0 1
0 0 2
3 1 3
0 1 2
0 0 0
3 3 0
1 3 1
1 3 2
10 3
1 2 4
4 2 1
2 3 5
4 2 5
5 0 4
0 4 4
5 5 5
3 1 4
5 3 5
0 0 5
10 7
4 3 1
5 1 3
2 5 4
1 3 4
3 5 1
4 1 3
1 3 3
4 3 2
2 5 3
3 4 3
10 7
4 2 4
3 1 2
1 3 1
0 3 0
2 0 3
0 2 4
0 2 0
1 2 0
3 1 3
2 4 4
10 4
1 1 3
0 0 3
3 0 3
4 2 2
4 0 1
4 0 2
3 0 2
0 0 4
1 0 4
2 0 2
10 8
2 1 2
2 0 1
0 2 0
2 2 2
1 0 0
2 1 0
1 1 2
2 0 2
2 1 1
1 1 0
10 8
1 1 0
0 0 0
1 2 2
2 0 1
2 1 2
1 1 2
2 1 0
1 1 1
2 0 0
0 0 2
10 4
4 0 4
5 1 4
2 5 5
4 2 1
2 4 2
4 3 0
1 5 1
2 5 1
3 1 4
3 2 1
10 6
0 1 0
0 1 1
2 1 0
2 2 2
1 3 1
2 0 1
2 2 1
1 3 0
3 0 1
1 1 1
10 7
4 2 0
2 1 1
4 4 4
3 0 1
1 1 4
1 2 4
0 3 0
1 1 2
3 4 1
0 4 4
10 9
1 2 3
2 3 3
1 1 4
0 3 1
1 1 3
3 1 0
4 3 2
0 4 1
2 0 2
1 3 1
10 3
0 0 2
0 0 1
2 1 0
1 1 2
1 0 0
1 2 2
1 1 1
0 1 1
1 1 0
0 2 2
10 4
2 0 1
5 0 4
4 0 3
5 1 4
1 1 3
5 0 3
1 4 1
3 1 3
3 5 4
0 3 4
10 2
0 3 0
1 1 1
1 2 4
0 1 3
0 2 0
2 0 3
2 3 2
0 4 2
2 3 4
3 1 3
10 7
2 0 2
2 0 1
1 3 0
2 2 3
0 3 2
0 1 0
2 2 0
0 1 3
1 1 1
0 0 0
10 2
1 2 4
0 2 1
1 2 2
3 1 4
4 1 3
2 3 1
1 2 1
0 0 3
3 1 3
1 3 3
10 8
4 0 4
4 1 4
3 2 1
2 2 0
4 3 1
2 1 0
1 2 4
1 4 3
3 4 0
2 2 4
10 7
4 1 3
4 3 3
2 4 0
2 1 1
3 2 1
1 3 4
1 1 0
1 3 3
1 4 3
1 2 0
10 5
3 4 2
1 0 4
3 3 3
3 0 3
0 2 4
2 0 0
1 1 1
4 2 1
1 0 3
1 2 4
10 4
0 5 0
5 3 5
5 1 0
2 3 4
4 2 3
4 2 4
4 3 2
2 4 5
5 2 2
4 4 3
10 2
1 4 3
2 4 1
1 0 2
1 3 2
2 0 2
0 2 1
0 0 1
2 3 2
4 2 0
4 2 2
10 7
0 1 2
1 0 0
1 2 2
1 1 1
1 2 0
2 1 1
2 1 0
2 0 1
0 2 0
2 0 0
10 7
1 0 2
2 1 2
3 0 1
0 0 1
3 1 0
3 0 3
1 1 0
3 1 1
3 3 3
3 0 2
10 2
2 0 5
2 1 3
0 4 0
0 1 4
1 5 2
0 5 3
0 1 2
0 4 5
3 2 3
5 3 3
10 8
0 0 0
1 0 0
2 1 2
2 1 0
2 0 2
1 1 2
2 1 1
1 2 0
1 0 1
0 2 1
10 7
4 1 4
3 4 2
0 2 0
4 3 0
1 2 2
3 4 4
3 3 1
3 0 0
0 2 1
3 1 3
10 8
4 4 3
2 1 1
2 5 4
0 2 2
4 0 3
1 5 4
0 2 5
3 1 1
2 1 2
4 2 4
10 4
1 0 1
0 0 1
0 1 0
1 2 2
0 1 2
1 2 0
1 1 1
2 1 0
1 1 2
0 0 0
10 8
5 3 3
0 4 4
2 2 4
4 3 4
3 5 1
2 2 5
5 2 5
3 2 5
0 2 1
3 2 2
10 9
1 1 2
1 0 1
2 2 1
0 0 2
2 1 2
0 2 2
1 2 1
0 0 1
2 0 1
0 1 0
10 8
0 3 2
3 0 3
1 3 2
1 1 2
1 2 1
2 2 1
1 0 2
1 3 3
0 3 0
3 1 3
10 8
2 1 2
3 3 2
3 1 3
3 2 3
1 3 0
3 0 3
0 3 3
0 3 2
3 2 1
1 2 3
10 2
3 2 4
1 0 0
3 0 2
0 0 0
1 0 1
2 3 2
0 4 5
1 4 1
1 4 5
2 0 3
10 2
2 0 2
1 2 2
0 2 2
2 2 2
1 2 1
1 0 1
2 1 1
2 2 1
0 2 1
1 0 0
10 7
2 1 2
2 2 1
0 1 0
1 1 1
1 2 0
2 0 0
1 0 1
0 2 1
0 2 2
0 0 2
10 9
2 0 1
3 0 3
0 3 2
1 0 0
0 0 0
0 1 3
0 0 2
3 3 0
1 3 2
2 3 0
10 4
4 5 3
2 1 0
4 5 2
5 2 4
0 0 3
2 0 2
1 0 5
2 4 3
0 0 2
2 3 0
10 5
1 1 3
2 0 2
2 0 1
1 0 3
1 0 1
1 2 3
0 1 3
3 0 3
0 0 2
3 2 3
10 5
1 1 1
1 2 0
0 2 2
1 1 2
2 2 0
2 1 2
1 0 1
1 0 2
0 1 0
2 2 1
10 5
2 0 1
3 0 1
1 0 2
2 0 0
2 1 0
0 1 3
1 2 3
0 1 0
2 0 2
3 3 1
10 8
4 1 0
0 1 2
0 4 3
4 1 2
1 2 1
4 0 4
4 0 0
1 1 1
1 2 2
1 0 3
10 8
3 0 1
0 2 2
3 2 3
2 2 2
1 2 2
2 3 2
1 1 3
2 0 1
1 0 1
1 2 0
10 9
1 1 1
1 3 3
1 2 0
0 0 2
0 1 3
1 0 1
3 1 2
1 1 3
3 1 3
3 3 1
10 6
3 1 5
0 0 0
2 3 3
0 4 3
1 1 2
5 3 5
4 5 2
4 4 4
5 2 1
2 2 0
10 2
1 1 1
1 0 2
1 2 2
0 1 2
1 2 0
0 2 1
0 1 1
2 2 0
0 2 2
2 2 2
10 5
2 2 4
3 2 0
1 0 3
0 4 1
1 4 4
0 4 3
2 1 4
5 5 5
0 5 1
1 1 3
10 9
2 1 1
0 1 1
0 0 2
1 2 0
1 0 1
1 0 0
2 2 0
1 1 0
1 0 2
1 1 2
10 5
3 2 2
0 4 4
2 1 3
1 0 0
0 3 0
1 1 1
1 0 4
4 4 0
0 2 2
3 4 0
10 4
2 4 0
1 3 2
4 3 4
1 2 3
1 2 4
2 2 3
2 1 1
1 4 0
0 1 1
4 4 1
10 3
1 3 0
0 2 3
3 0 2
2 0 1
2 3 0
3 0 1
1 2 0
2 3 3
2 3 2
0 1 0
10 5
1 1 2
2 0 2
2 0 0
0 1 0
0 2 0
2 2 2
1 2 1
2 1 1
1 1 1
0 0 0
10 8
4 4 3
4 0 2
0 3 4
3 0 4
0 2 3
2 2 3
3 4 3
1 3 0
2 2 2
4 3 2
10 9
1 5 5
3 5 4
2 2 4
5 5 2
1 4 5
5 5 1
5 1 5
4 2 2
1 1 3
4 4 3
10 3
3 3 3
2 3 0
1 1 2
3 3 0
3 3 2
2 1 0
2 0 0
0 3 0
1 0 0
1 3 0
10 5
2 0 1
3 5 3
4 5 3
1 0 1
2 1 0
4 1 3
0 1 1
2 2 2
4 1 4
1 2 5
10 4
2 1 1
0 1 1
0 2 0
0 0 0
0 0 1
1 0 1
2 1 2
0 1 0
1 0 2
2 2 1
10 3
1 0 2
3 2 3
2 0 3
1 1 0
3 0 1
3 2 2
1 3 0
2 2 0
2 3 2
3 2 1
10 4
3 3 1
4 0 2
5 2 3
2 3 3
5 2 1
0 5 0
3 1 1
2 5 3
0 5 2
4 4 4
10 5
4 1 0
3 4 4
2 2 2
1 3 0
4 4 2
1 4 4
2 3 0
2 0 1
2 1 0
2 2 1
10 5
4 1 0
3 0 0
4 4 2
2 1 1
3 1 3
2 0 0
0 1 1
0 3 0
4 4 0
4 4 3
10 5
3 1 3
0 3 1
2 3 2
1 1 2
3 0 2
3 0 1
3 3 0
0 0 3
3 2 2
1 3 3
10 7
2 0 2
1 1 2
3 1 2
4 2 3
3 0 1
4 2 4
0 4 2
1 0 2
1 1 1
1 4 1
10 8
1 0 1
5 2 5
1 0 3
5 2 2
3 4 1
0 3 3
4 2 3
5 5 2
2 0 4
3 2 3
10 9
0 3 0
3 0 3
2 1 1
0 0 3
1 1 3
3 3 1
1 0 2
3 3 2
1 0 3
0 0 0
10 7
3 4 1
4 4 1
3 1 1
2 0 0
3 0 5
0 2 4
1 1 2
5 0 3
0 0 1
3 0 3
10 9
0 2 2
2 0 2
0 1 1
1 0 1
0 0 2
1 2 1
0 2 1
1 2 0
0 1 0
1 1 2
10 5
1 4 2
1 3 0
2 4 2
3 2 0
1 2 1
4 1 2
4 0 3
2 2 0
4 3 4
3 2 3
10 9
1 2 1
0 0 0
1 0 2
0 1 0
2 2 0
2 0 1
1 1 2
1 2 2
0 2 0
2 1 0
10 4
2 2 3
0 1 3
2 3 3
0 3 3
0 2 0
2 1 2
3 0 2
2 2 0
3 2 0
0 2 1
10 5
0 0 1
1 0 2
0 0 0
2 2 2
0 2 1
0 0 2
2 0 0
1 2 2
0 1 1
1 2 0
10 5
0 1 1
1 0 0
2 0 2
2 2 0
1 2 1
2 1 1
2 1 3
0 3 0
1 3 2
1 1 2
10 8
3 0 0
0 0 2
2 3 0
1 0 1
1 2 0
1 1 1
3 1 0
1 3 1
2 2 2
2 3 3
10 2
0 4 2
1 3 0
3 1 0
1 0 2
0 1 3
2 4 2
3 2 3
1 2 2
3 1 3
4 2 3
10 3
1 1 0
0 0 1
1 1 2
0 2 1
1 2 2
0 2 2
2 2 1
0 1 1
1 0 1
0 1 2
10 5
1 3 3
1 0 0
3 0 1
0 0 3
0 2 0
0 0 1
0 3 3
0 1 0
1 0 2
2 1 3
10 9
0 1 0
0 0 0
2 0 2
1 1 2
1 2 2
2 1 1
2 2 2
1 1 1
0 1 2
1 0 2
10 8
3 1 2
0 1 4
2 3 1
1 2 0
0 4 4
0 2 4
3 0 1
2 2 2
0 1 2
0 1 3
10 5
5 3 1
5 1 0
4 4 4
0 2 5
0 3 3
4 4 2
4 1 4
4 2 2
1 0 0
0 3 1
10 3
3 2 0
3 3 4
3 2 2
1 1 0
4 1 3
2 4 1
3 2 1
4 0 4
3 1 1
2 2 3
10 4
2 1 3
1 0 3
3 3 2
2 3 3
1 1 3
0 3 1
2 0 3
2 2 2
2 0 1
2 2 0
10 9
4 4 1
1 3 0
3 2 2
5 4 2
1 5 0
3 1 3
2 1 2
0 3 4
4 5 1
2 2 3
10 6
1 2 1
3 3 1
1 0 2
1 1 1
1 2 0
2 0 1
3 1 1
2 3 1
1 2 3
3 2 3
10 9
3 5 4
4 5 0
1 1 1
2 4 0
2 1 1
3 3 0
2 3 2
5 4 4
5 1 0
5 2 3
10 6
4 2 5
2 2 3
0 5 4
2 3 2
3 2 2
0 1 1
0 5 3
4 2 0
5 4 4
4 2 2
10 9
3 0 2
1 3 1
0 4 4
1 2 2
1 3 4
3 4 3
5 2 3
3 2 0
1 4 3
2 4 2
10 5
0 1 3
1 2 0
0 0 2
0 0 0
2 1 3
2 2 2
3 1 1
0 1 0
2 1 2
1 1 2
10 6
5 2 5
2 1 2
4 4 1
0 0 4
4 3 1
5 3 4
4 5 5
4 3 5
3 3 1
0 2 3
10 7
3 0 2
0 2 5
1 4 5
5 5 2
2 5 4
1 2 4
1 3 0
1 3 3
1 2 1
0 1 5
10 2
2 4 4
1 0 2
4 1 3
4 0 5
1 0 5
3 2 0
4 3 1
0 5 5
1 4 2
4 2 0
10 2
1 2 1
0 2 1
2 0 2
2 0 0
0 1 0
0 2 0
2 1 0
1 1 0
2 1 1
0 2 2
10 2
1 2 4
2 0 1
0 4 3
0 2 0
3 1 3
3 3 0
3 4 3
4 1 1
2 1 1
1 3 2
10 8
3 1 1
0 3 3
3 1 2
1 1 3
2 1 1
2 2 1
1 2 0
2 1 0
0 3 1
0 3 0
10 4
0 0 4
2 5 1
1 4 2
2 0 5
2 4 3
1 1 0
4 5 5
0 2 5
1 1 3
4 3 5
10 4
3 2 3
4 3 2
1 3 2
0 2 0
1 1 3
1 0 2
1 1 1
4 2 2
1 3 1
3 1 3
10 6
2 2 2
3 2 1
2 3 1
1 3 0
2 1 2
0 3 1
3 3 3
1 3 2
2 2 1
2 0 2
10 8
0 2 1
2 2 2
4 3 2
1 4 0
0 0 5
1 1 3
0 3 4
2 2 4
0 3 0
1 0 3
10 5
2 1 2
0 0 2
1 1 1
2 0 2
1 1 2
2 2 0
2 1 1
2 0 1
1 2 1
1 2 2
10 7
4 3 0
4 0 5
2 5 3
2 4 5
1 1 1
3 5 4
1 2 1
4 3 3
2 3 3
1 0 3
10 3
1 3 1
4 2 3
0 1 3
2 3 2
2 3 3
3 4 2
0 2 2
2 1 2
4 1 4
3 3 3
10 8
2 1 0
0 0 2
2 1 3
3 0 0
0 0 0
1 0 0
2 3 1
3 2 3
1 2 1
1 0 1
10 7
0 1 3
2 1 1
2 3 0
1 2 1
0 1 0
2 2 3
0 3 3
1 1 1
2 0 1
3 2 2
10 6
2 2 0
2 1 0
2 2 1
1 1 0
2 0 1
1 1 2
1 2 1
0 0 2
1 0 1
2 0 0
10 7
1 1 1
3 3 2
0 1 0
2 3 2
3 0 2
0 3 2
2 1 3
3 3 1
2 2 3
1 3 1
10 5
1 1 0
1 0 2
2 1 2
0 2 0
2 2 2
1 0 1
1 2 1
2 2 1
0 0 0
2 1 1
10 5
1 2 2
0 1 0
0 2 2
1 1 1
2 0 1
1 0 2
0 2 0
1 1 0
0 1 1
1 1 2
10 3
2 0 2
5 1 2
0 0 4
1 0 5
0 2 5
2 5 3
3 5 4
1 2 1
5 1 0
5 3 5
10 8
3 3 3
3 3 2
2 2 3
2 3 0
1 3 1
2 1 3
1 1 0
0 3 3
0 0 1
1 2 1
10 6
3 3 0
0 4 2
4 5 3
4 1 4
1 0 3
1 3 1
5 1 5
3 1 2
0 0 2
5 4 2
10 5
2 0 1
0 0 2
0 2 1
2 2 1
1 2 2
2 1 0
0 2 0
1 0 2
2 0 0
0 1 0
10 6
3 0 2
3 0 0
0 3 0
1 0 0
1 2 3
0 2 1
1 0 1
2 1 3
3 0 1
3 3 0
10 9
3 1 0
2 1 1
1 0 0
0 3 0
3 1 2
3 2 2
1 3 3
1 2 0
1 1 3
3 1 1
10 6
3 4 4
3 3 3
1 3 3
0 3 0
2 0 3
1 1 2
3 4 2
0 0 4
3 4 3
3 3 0
10 6
1 0 5
2 4 1
1 3 2
4 2 1
5 3 0
1 5 3
2 4 2
0 0 3
2 1 5
5 4 1
10 4
2 2 3
3 0 2
2 1 0
3 0 1
3 3 0
1 3 2
2 3 2
0 3 0
1 2 0
3 2 3
10 3
0 0 2
2 1 0
0 2 1
2 0 1
2 1 1
2 0 0
0 1 1
2 1 2
0 2 0
0 1 2
10 3
2 3 3
2 1 2
4 1 1
4 3 4
1 3 0
4 3 0
2 0 1
2 2 2
1 1 4
4 3 2
10 8
0 2 2
2 2 2
2 0 1
1 1 2
0 2 1
1 2 1
1 2 2
2 1 1
1 1 1
0 0 0
10 5
2 2 0
2 2 4
2 0 1
2 2 1
0 4 4
4 3 2
3 1 2
1 4 0
1 0 2
0 4 0
10 3
3 2 1
3 4 2
4 4 1
2 4 3
2 0 4
0 1 1
1 0 2
3 3 1
4 0 1
4 1 4
10 3
0 3 2
4 0 0
3 4 0
2 4 4
2 3 3
4 1 1
1 3 2
2 2 3
0 1 4
3 3 3
10 7
4 2 2
3 2 0
1 1 1
1 3 0
2 1 3
0 2 3
3 4 2
1 0 3
2 0 0
3 2 4
10 6
0 2 1
1 0 0
0 2 2
2 2 0
0 1 2
2 0 0
1 0 2
1 1 0
1 2 2
0 0 1
10 9
1 2 2
1 0 1
2 0 2
2 0 1
1 0 2
0 2 2
2 0 0
2 1 2
1 0 0
1 2 1
10 9
2 3 2
1 2 3
0 0 5
0 5 0
1 1 3
4 1 0
0 2 1
4 2 3
4 0 3
2 2 1
10 5
4 0 4
2 0 0
2 3 0
0 1 3
1 0 4
5 2 3
4 0 2
4 3 4
1 2 0
4 5 0
10 5
0 1 1
3 3 1
0 3 1
1 2 3
2 1 1
2 3 2
2 1 3
0 1 3
2 2 2
3 2 2
10 8
0 0 3
2 1 0
2 4 3
3 2 1
3 2 2
1 4 2
3 2 0
3 3 0
1 2 0
4 2 3
10 4
3 5 4
2 1 5
1 4 5
5 0 0
4 4 3
4 1 0
3 3 0
4 0 5
3 0 2
2 1 4
10 7
3 3 1
4 3 4
0 2 1
2 5 2
2 2 2
3 2 3
3 1 5
3 3 5
4 1 5
4 5 5
10 7
0 0 0
1 0 1
3 3 0
2 3 0
1 2 1
2 1 3
1 2 2
3 2 0
3 0 0
1 1 3
10 5
2 3 4
2 0 4
3 0 2
3 4 3
0 4 0
4 0 0
4 0 2
3 3 0
1 0 0
0 4 3
10 6
0 1 2
2 2 0
0 2 2
1 2 1
2 2 1
0 0 1
2 2 2
2 1 1
0 1 0
1 1 2
10 9
0 1 2
2 2 2
0 0 1
0 2 1
1 2 0
0 0 2
2 0 2
0 1 0
0 0 0
0 1 1
10 2
2 4 4
0 0 4
2 2 4
2 0 0
2 4 3
4 3 3
3 1 1
1 0 1
4 1 3
1 2 3
10 4
2 1 4
1 0 4
4 3 3
2 4 0
4 2 4
0 3 2
1 3 3
0 4 1
0 2 0
4 4 2
10 8
1 5 0
3 0 5
0 1 2
3 2 0
4 3 0
1 5 2
1 5 4
2 2 0
1 0 4
2 2 5
10 9
0 2 2
2 1 2
1 0 3
3 3 3
1 1 1
3 2 0
0 0 1
3 0 2
0 0 3
1 3 2
10 4
3 0 0
0 3 1
0 3 0
0 1 3
3 2 0
2 3 2
1 1 2
2 0 0
0 2 1
0 2 2
10 6
2 0 2
3 4 4
5 3 1
5 2 4
1 0 4
5 1 4
2 2 4
1 1 0
1 0 0
2 5 2
10 6
5 5 3
2 2 0
1 2 0
2 1 2
2 0 5
2 2 2
0 4 3
5 3 0
5 5 2
4 1 0
10 7
1 2 0
1 1 5
4 2 3
1 0 3
3 4 3
4 4 4
4 4 3
3 0 4
0 2 3
4 3 1
10 2
2 2 0
3 1 3
1 1 2
1 1 4
1 4 3
0 0 2
1 2 4
0 2 2
1 1 3
0 4 1
10 8
2 1 0
1 0 2
1 1 0
0 0 1
1 0 1
0 2 1
2 1 2
0 2 2
0 0 2
2 0 1
10 9
2 2 0
0 3 3
1 5 2
4 0 0
2 0 3
1 2 3
1 1 0
2 2 4
0 1 3
1 2 2
10 4
5 0 3
1 4 4
1 3 3
0 5 0
4 2 2
5 4 3
1 0 1
0 0 4
5 0 1
3 3 0
10 4
0 1 2
1 3 2
3 1 2
3 3 2
3 1 3
0 0 3
3 0 1
1 2 0
2 2 0
1 1 1
10 4
5 5 1
0 1 2
4 2 5
1 1 5
0 5 4
3 3 3
5 3 0
5 5 2
2 1 3
0 0 5
10 7
0 4 3
3 4 1
3 4 4
1 4 1
3 1 3
0 1 1
2 2 0
3 0 1
0 3 4
3 0 2
10 2
3 4 4
1 4 3
3 1 1
4 4 2
3 2 3
3 1 2
4 0 4
4 0 2
0 1 1
2 0 1
10 4
2 2 2
5 1 0
1 4 2
4 1 0
4 4 4
4 4 2
3 1 5
2 1 0
2 3 2
4 1 3
10 2
2 3 4
3 3 2
3 3 1
4 1 0
3 1 3
0 1 0
0 2 1
0 3 3
2 1 4
3 2 1
10 5
5 3 5
5 4 3
2 3 3
0 4 0
1 2 4
3 5 1
0 2 0
1 0 1
0 5 2
2 4 3
10 6
1 0 1
2 0 1
1 0 3
1 0 2
1 2 2
0 3 0
3 2 2
1 2 1
1 3 3
0 1 0
10 3
2 2 0
1 0 0
2 0 1
0 0 2
0 1 2
0 0 0
2 0 2
2 0 0
2 2 2
1 0 1
10 4
0 0 3
0 2 0
2 2 1
3 3 2
0 0 0
3 2 1
2 3 0
0 2 2
3 3 1
3 3 3
10 2
1 2 1
1 2 2
0 2 0
0 1 1
2 1 0
0 0 0
2 0 1
2 1 1
0 0 1
1 1 2
10 3
0 1 4
1 0 2
0 0 1
2 1 3
3 2 4
1 0 3
3 3 2
3 3 4
2 4 3
1 4 2
10 9
3 3 1
1 0 3
0 1 3
4 3 3
1 0 1
2 1 2
2 1 1
0 2 0
1 4 2
4 4 4
10 4
0 1 0
0 1 2
2 2 2
0 0 0
2 2 0
0 0 1
2 1 1
1 1 2
1 0 2
0 0 2
10 8
0 1 1
0 2 0
2 0 2
1 0 0
1 1 2
2 1 0
1 1 1
1 0 2
1 1 0
2 0 0
10 8
4 1 1
5 3 3
0 5 5
1 0 3
4 0 4
1 4 5
2 4 2
2 0 1
3 1 4
3 1 1
10 9
3 3 3
3 1 3
1 3 2
1 3 1
0 3 2
1 2 3
0 1 0
2 0 2
2 1 0
3 2 3
10 5
4 4 2
4 1 2
1 3 2
3 3 1
1 4 2
3 4 4
0 3 4
2 4 3
0 2 2
3 3 2
10 5
0 1 1
0 0 2
0 2 0
0 3 1
0 4 0
2 4 2
3 3 1
3 4 1
0 4 4
1 3 3
10 3
5 4 4
0 5 4
0 0 4
3 1 2
4 0 2
3 0 0
3 2 1
1 1 3
4 2 0
2 5 1
10 7
3 5 4
5 5 4
3 3 0
0 3 3
3 5 5
3 1 0
5 1 1
1 4 0
2 2 5
4 5 0
10 9
1 4 0
1 5 1
0 4 3
3 2 1
5 3 2
4 4 5
0 5 2
0 4 5
2 5 0
5 5 5
10 7
0 1 2
3 2 0
3 2 2
0 3 3
2 1 3
1 0 2
0 2 0
3 0 1
3 1 0
3 2 1
10 6
2 1 0
1 1 2
1 0 0
0 1 0
2 2 1
2 1 1
1 0 1
1 1 1
2 0 0
0 1 1
10 6
4 1 1
3 4 1
1 2 5
4 5 3
0 0 0
3 5 4
1 1 2
4 2 5
2 5 1
0 5 1
10 7
1 0 3
3 0 2
0 3 2
1 0 1
3 2 1
2 3 3
1 3 1
0 0 1
2 1 1
1 0 0
10 5
0 4 5
0 0 3
4 3 2
4 4 4
0 3 3
3 3 5
2 3 3
5 3 3
3 3 4
0 3 0
10 6
1 2 3
1 3 0
2 3 3
3 2 0
2 1 1
2 0 1
2 2 2
1 0 3
0 0 1
3 2 2
10 5
4 1 2
5 2 0
1 3 1
5 3 0
4 5 2
4 4 1
4 4 4
3 2 1
4 1 5
0 1 2
10 2
0 2 0
0 0 0
2 2 1
0 2 2
2 2 0
0 0 2
1 1 1
0 1 0
2 2 2
2 0 1
10 3
2 2 0
2 1 0
1 0 1
0 1 1
0 2 2
0 1 2
1 1 2
2 0 0
0 0 2
0 0 1
10 5
2 4 2
3 1 1
5 1 5
2 1 2
3 4 1
0 3 5
2 4 4
1 0 0
1 1 5
2 5 0
10 8
2 4 0
5 2 0
0 4 4
5 5 5
1 0 4
5 3 5
0 0 0
4 3 3
0 5 0
5 1 0
10 2
2 1 1
2 1 0
2 0 0
0 1 0
0 2 0
0 0 1
1 1 0
0 2 1
1 2 2
2 2 2
10 5
0 0 1
3 4 2
1 1 1
3 4 1
1 2 0
1 1 3
3 2 2
1 0 2
0 0 0
0 2 4
10 9
1 2 3
3 1 1
0 3 3
0 1 3
0 3 0
2 2 3
3 0 3
2 2 2
1 2 1
3 3 1
10 6
3 0 3
3 3 2
4 0 0
4 1 0
0 4 3
1 4 4
0 4 4
0 4 1
3 3 3
2 0 4
10 4
1 2 3
0 1 0
2 1 0
0 1 1
1 1 3
1 0 0
3 3 0
3 2 0
1 2 1
3 2 1
10 2
2 3 1
5 1 5
3 3 4
2 1 4
5 2 2
2 0 4
0 5 2
0 2 2
0 1 5
4 5 5
10 4
0 3 2
4 1 5
1 3 1
4 2 0
0 4 4
0 2 2
0 1 0
5 0 5
0 2 0
2 4 3
10 5
1 2 5
3 1 4
3 2 2
0 3 1
2 2 5
0 4 2
3 5 1
0 5 3
5 2 2
1 5 5
10 8
2 0 0
5 5 2
4 4 1
4 0 1
4 5 3
5 0 1
2 3 2
0 2 0
4 0 2
5 1 4
10 3
0 1 1
1 2 2
1 1 0
0 2 0
1 0 0
1 0 2
0 0 0
2 2 1
0 0 2
1 2 0
10 2
2 2 1
2 2 3
1 3 2
1 2 0
3 1 0
3 2 1
0 1 2
0 0 2
2 3 3
1 2 3
10 2
2 2 1
1 2 0
0 1 0
0 3 1
0 0 1
2 3 1
2 1 1
1 0 0
3 2 2
2 0 1
10 9
5 2 1
2 1 1
2 1 2
3 4 1
2 5 0
4 2 3
0 0 0
0 5 0
3 3 0
2 5 1
10 9
2 0 2
1 3 2
1 1 2
1 3 3
3 3 2
2 3 0
2 2 3
1 1 0
3 1 0
0 3 3
10 8
3 1 4
0 0 4
4 2 1
0 3 1
2 2 3
4 0 3
3 2 0
1 0 1
1 2 1
1 2 4
10 7
1 0 2
3 3 4
5 3 0
4 1 2
3 1 2
4 5 0
2 4 0
5 1 1
3 1 3
2 3 3
10 8
0 2 1
5 2 4
5 5 2
2 3 0
4 0 2
0 3 1
2 0 4
2 1 5
3 3 0
4 5 3
10 8
3 1 3
3 0 0
0 0 0
1 1 2
0 3 2
0 2 0
0 2 3
2 2 2
2 0 0
2 1 3
10 8
2 1 1
3 2 0
2 3 1
2 3 0
2 0 2
3 2 1
3 1 1
0 1 2
1 3 2
2 2 3
10 5
3 2 0
0 3 0
1 1 3
2 2 1
0 0 0
1 1 2
3 3 0
1 0 3
3 0 0
2 3 1
10 7
2 0 1
2 0 0
1 2 3
2 3 1
1 3 1
3 2 2
1 0 0
0 3 0
3 2 0
0 2 0
10 7
3 3 2
0 3 1
3 1 2
2 1 1
0 3 0
0 2 0
2 2 1
2 2 0
3 2 0
3 2 2
10 3
2 1 4
4 2 2
4 4 3
3 1 1
4 0 1
1 2 0
4 1 3
2 0 2
2 0 1
3 4 0
10 5
1 2 0
3 1 1
0 1 2
2 2 1
0 0 2
2 2 2
3 2 3
3 3 3
1 2 1
2 3 2
10 4
1 2 4
2 2 2
4 4 0
2 4 0
0 4 0
0 4 1
4 4 1
0 1 4
2 2 1
2 2 4
10 8
1 0 1
1 3 2
3 3 0
4 1 2
3 1 2
3 3 4
2 4 4
2 3 3
1 4 1
4 4 4
10 9
0 1 0
1 2 2
2 2 1
2 1 1
0 1 2
0 0 2
1 1 0
0 0 1
0 2 2
0 1 1
10 5
2 1 0
0 1 3
2 2 0
1 0 1
1 2 0
4 2 1
3 4 0
1 1 0
2 4 0
3 3 0
10 2
1 3 0
2 3 0
3 3 3
1 0 1
3 1 3
3 2 3
3 1 1
3 0 1
0 0 3
2 1 0
10 3
0 1 2
1 1 2
2 1 0
0 2 2
0 1 0
0 2 1
1 2 2
2 2 0
1 0 0
0 0 1
10 9
2 1 2
3 0 3
3 3 1
1 2 0
0 1 3
3 3 3
1 2 1
1 1 2
3 1 3
3 0 0
10 7
1 1 2
1 4 2
4 1 2
0 3 2
3 0 0
1 2 3
1 0 3
4 3 4
4 4 2
3 0 4
10 6
5 1 5
5 5 4
5 1 1
2 2 3
2 2 4
5 4 1
0 2 4
3 0 3
4 5 2
3 1 4
10 4
2 3 3
3 0 1
1 2 0
3 1 3
2 0 3
1 1 2
2 3 2
2 1 2
1 2 1
1 1 0
10 9
0 3 4
4 2 0
4 3 5
2 0 3
3 0 5
1 1 1
5 0 5
5 3 5
3 1 5
4 3 3
10 7
3 3 5
1 3 2
0 3 5
0 2 3
4 2 1
2 1 3
0 3 4
5 2 2
2 4 0
2 1 0
10 6
1 3 1
0 4 0
4 0 4
3 3 3
4 3 0
4 2 3
2 0 3
2 4 1
3 3 2
2 2 4
10 6
3 3 1
2 0 0
0 1 3
2 2 2
3 0 0
3 3 0
0 3 1
2 0 2
1 2 1
3 2 0
10 6
3 4 4
2 1 3
2 1 1
3 0 4
2 1 4
1 2 3
1 2 2
1 3 1
0 2 0
3 2 1
10 7
0 1 0
2 1 2
2 0 0
1 2 1
1 1 2
2 1 1
2 0 2
1 0 1
0 0 2
0 2 0
10 2
2 0 2
1 2 2
2 1 0
2 2 2
1 0 2
1 1 2
2 1 2
1 0 1
0 0 1
2 0 1
10 6
4 3 1
3 0 4
2 0 3
0 4 0
3 1 2
2 1 4
2 2 0
0 1 0
3 2 0
0 0 0
10 4
1 3 4
0 3 4
4 2 1
4 2 4
0 0 3
1 3 2
0 4 2
4 0 1
3 0 3
0 0 4
10 4
2 2 1
2 0 1
1 2 1
0 0 2
1 0 2
1 0 1
1 1 2
1 0 0
0 2 1
0 2 2
10 8
0 0 2
1 2 1
1 3 1
3 2 0
3 3 1
1 1 0
3 2 1
1 1 1
0 0 0
2 2 0
10 6
3 4 0
3 3 4
4 3 3
4 0 0
1 2 4
4 0 4
2 2 4
2 0 3
0 2 2
2 2 1
10 3
0 2 1
1 1 1
2 0 0
0 2 0
2 2 2
2 1 0
0 0 0
2 0 2
2 1 2
1 1 2
10 7
1 0 1
0 2 0
3 3 2
2 0 2
2 0 3
3 1 0
2 3 0
4 2 0
4 3 1
4 3 2
10 6
0 2 2
1 4 0
0 1 2
4 0 4
3 2 4
4 1 2
2 2 1
1 2 2
0 0 1
3 2 0
10 8
1 1 2
2 5 1
3 2 1
2 3 0
5 1 1
1 2 5
5 4 2
0 2 3
1 5 0
0 1 2
10 4
1 0 2
2 0 0
2 2 1
2 2 0
0 1 0
0 0 2
2 0 2
2 2 2
2 1 2
0 2 1
10 5
1 1 0
0 1 1
2 2 0
2 2 2
2 0 0
0 0 2
0 2 1
1 2 0
0 1 0
1 1 2
10 2
2 1 1
2 2 1
2 0 2
1 1 2
0 1 2
2 0 1
0 1 0
0 2 2
0 2 0
0 2 1
10 7
4 1 0
3 2 1
4 1 5
2 0 1
0 5 4
2 0 0
3 2 4
3 4 2
1 1 4
2 1 1
10 9
0 0 2
0 0 0
2 0 0
1 1 2
2 1 1
2 2 0
0 1 2
1 1 1
2 0 2
0 0 1
10 4
2 0 0
0 2 1
1 0 2
2 0 2
2 1 2
0 1 1
0 0 1
0 1 2
1 1 2
0 0 0
10 8
3 0 4
0 1 3
4 0 4
3 3 1
4 4 0
4 4 2
0 4 0
1 3 1
3 3 4
0 3 1
10 4
2 3 2
2 3 3
4 1 0
2 4 5
3 4 1
1 1 2
4 4 0
2 3 5
5 2 1
1 3 0
10 3
0 0 0
4 0 1
2 0 4
0 1 4
3 0 2
1 0 0
0 3 1
2 1 2
4 0 2
1 1 0
10 2
0 1 4
1 4 2
4 1 0
0 4 4
1 3 4
3 1 1
1 0 3
0 4 1
1 3 2
1 0 0
10 8
1 0 2
3 1 1
0 2 0
1 0 0
2 2 2
1 1 2
0 3 1
2 0 3
3 3 3
0 3 3
10 8
2 1 2
2 0 1
1 2 1
1 0 1
2 1 1
0 0 2
2 0 2
0 1 2
0 1 0
1 2 2
10 5
2 4 5
4 0 5
5 4 0
0 3 5
1 4 0
3 1 4
3 4 5
4 4 0
0 1 1
5 5 2
10 9
0 4 0
4 4 2
3 4 4
0 2 2
0 0 2
3 3 2
0 2 1
1 1 0
1 2 1
0 2 3
10 6
2 3 1
4 1 3
2 3 0
4 4 4
1 2 4
2 2 4
1 4 3
4 3 0
4 2 3
1 2 1
10 8
1 0 2
1 2 1
3 0 3
1 1 3
0 0 1
2 0 1
2 0 2
2 0 3
2 2 1
3 2 1
10 6
3 1 2
2 4 4
0 1 4
4 5 0
5 3 3
2 1 5
0 5 3
3 3 5
2 3 3
2 3 2
10 3
3 2 3
3 3 0
3 4 0
4 4 2
4 2 0
4 2 1
2 2 0
1 3 2
1 0 1
0 0 0
10 9
5 3 2
1 1 1
3 5 3
5 4 5
2 2 0
2 5 5
4 5 5
2 0 3
3 0 5
3 0 4
10 4
1 2 0
0 2 0
2 0 2
1 1 1
2 0 0
1 1 2
1 2 1
2 1 2
2 2 1
2 1 0
10 3
3 1 1
4 1 2
4 0 4
0 1 5
2 2 1
5 5 2
5 0 5
4 5 0
5 4 0
0 3 0
10 7
2 2 0
2 3 1
3 0 0
2 0 3
1 2 0
3 2 0
1 2 2
2 2 2
0 0 0
0 2 1
10 4
2 1 0
1 2 2
1 0 2
0 1 1
1 1 0
1 0 1
0 1 2
0 1 0
2 0 1
1 0 0
10 3
3 0 3
1 1 2
0 1 1
3 0 2
2 3 3
0 3 1
3 0 0
2 2 3
2 2 0
1 3 1
10 4
0 0 1
0 0 2
2 0 2
0 0 0
1 0 2
1 2 0
1 1 1
2 2 1
2 0 0
0 2 0
10 3
1 3 1
2 1 0
2 3 1
0 3 2
0 1 0
1 3 0
2 2 1
3 3 3
0 2 3
3 3 2
10 2
1 1 3
2 2 1
3 3 0
1 1 0
2 0 3
3 1 0
0 0 3
3 2 1
3 3 3
2 1 1
10 8
1 2 1
0 2 2
1 2 0
0 0 0
2 1 0
1 0 1
2 2 1
2 2 0
1 1 1
2 0 1
10 5
4 1 4
4 4 4
1 3 2
3 1 4
3 0 4
2 0 1
1 4 1
4 0 4
2 4 3
3 4 2
10 8
5 3 4
5 2 4
2 3 3
4 3 1
3 5 1
1 2 2
5 1 4
5 3 0
5 0 0
1 2 5
10 6
2 2 1
2 1 1
1 1 0
1 0 0
1 0 1
0 1 0
0 1 2
0 0 0
0 2 1
0 0 2
10 9
2 0 4
4 2 5
3 4 0
5 1 3
5 4 1
0 0 1
4 0 5
3 2 3
0 0 4
3 1 4
10 8
4 2 4
1 2 1
4 2 2
1 4 0
4 2 0
4 4 2
1 0 4
0 4 1
2 2 4
4 3 1
10 2
2 1 1
2 0 2
1 2 1
1 0 2
2 0 0
2 2 2
0 1 2
2 1 0
2 2 0
1 2 2
10 4
3 3 0
2 0 4
1 2 2
2 0 0
0 0 4
3 2 4
1 3 2
0 3 4
2 0 2
0 0 2
10 4
4 5 2
3 3 3
5 3 4
3 4 5
1 2 2
0 1 1
0 4 5
5 4 1
0 2 2
0 0 5
10 5
2 1 0
1 1 2
0 0 2
0 3 0
0 0 3
1 3 3
1 2 3
0 2 2
2 1 2
2 3 1
10 5
3 0 0
4 2 2
5 3 0
5 5 3
3 0 4
4 3 1
0 5 4
2 5 4
4 1 4
5 1 0
10 4
1 0 2
4 4 4
0 0 1
3 3 2
3 3 4
0 0 2
1 2 3
0 3 2
0 4 4
2 4 2
10 2
4 1 3
1 3 5
2 5 2
3 0 5
0 2 1
1 1 2
0 1 5
2 4 4
0 0 1
2 4 1
10 2
4 3 0
3 4 2
3 2 2
1 1 1
2 2 3
3 4 3
0 2 2
4 1 3
1 0 3
0 4 1
10 5
3 0 4
4 4 3
3 1 1
2 4 4
3 1 2
1 3 2
4 1 3
3 0 0
1 4 4
2 0 4
10 9
0 1 2
1 5 1
2 0 0
5 1 5
4 0 0
0 3 0
5 4 4
5 4 1
4 1 1
1 3 2
10 7
0 0 0
2 1 2
1 0 2
2 1 1
1 0 0
1 2 1
1 0 1
2 2 0
2 0 0
1 1 2
10 8
0 2 3
2 0 1
3 1 0
1 3 2
3 0 1
1 0 3
0 3 1
2 0 0
2 3 1
1 0 1
10 8
4 0 1
1 0 0
1 4 0
0 2 0
3 1 1
3 2 4
3 0 1
4 1 3
0 3 0
2 2 0
10 6
0 2 2
2 2 1
1 2 2
0 0 0
0 2 1
2 0 1
0 1 2
1 0 0
2 0 2
0 0 2
10 5
0 2 0
1 1 2
1 1 0
0 2 1
2 1 0
0 2 2
2 2 1
2 0 0
1 1 1
0 1 2
10 5
2 2 0
1 1 0
2 1 1
0 1 0
1 2 1
1 1 1
2 1 0
1 1 2
2 0 0
0 0 2
10 2
2 0 0
2 1 2
1 0 2
0 0 0
2 1 1
0 2 0
1 1 0
2 0 2
0 1 0
0 2 2
10 3
1 0 2
2 2 2
0 3 3
0 1 2
3 2 1
2 2 0
3 2 2
2 2 1
3 3 0
0 1 3
10 5
5 4 0
1 1 0
1 3 0
2 4 3
5 5 1
1 3 4
1 3 5
5 0 4
0 2 2
4 0 4
10 8
0 0 1
0 1 0
2 2 1
1 2 2
0 2 2
1 2 0
1 1 2
2 1 0
1 1 0
0 1 1
10 8
0 2 2
1 1 2
1 2 0
0 2 0
0 1 1
1 0 1
0 1 0
2 1 1
2 0 2
0 0 0
10 4
0 3 3
1 2 0
3 4 4
0 0 1
4 2 0
4 4 2
3 3 3
1 4 1
3 0 4
4 2 2
10 9
3 2 1
1 2 3
3 2 4
3 3 4
4 1 2
1 1 1
1 1 2
2 0 3
2 3 0
0 0 2
10 8
1 2 2
2 0 2
0 0 0
1 0 0
0 0 2
1 1 1
1 2 1
2 0 0
0 1 2
0 2 0
10 5
0 3 0
1 0 1
3 0 1
1 0 3
1 1 2
1 0 2
3 1 0
2 0 1
0 0 0
0 3 1
10 6
4 4 2
1 2 0
1 2 4
3 0 3
5 5 3
1 3 0
1 5 2
3 3 3
3 4 0
5 3 3
10 7
3 0 0
1 0 0
1 3 0
0 1 3
2 3 0
1 2 0
0 3 0
3 2 1
2 2 3
3 1 2
10 4
3 1 2
3 0 2
2 0 0
0 1 0
3 3 3
1 0 0
1 1 2
1 3 0
0 0 0
3 2 3
10 4
1 1 2
2 2 2
0 1 1
1 1 0
2 2 1
1 0 0
0 0 2
1 2 0
2 1 0
2 2 0
10 5
0 2 1
0 1 2
2 1 0
0 0 1
2 2 1
1 2 2
1 1 0
1 1 1
1 0 0
2 1 1
10 4
2 0 0
2 2 2
2 2 1
2 1 2
2 1 1
0 2 3
4 2 3
3 3 0
3 1 1
2 1 0
10 3
1 2 0
2 2 2
0 0 4
4 4 1
1 4 3
2 3 1
0 0 0
0 0 3
2 2 1
4 3 3
10 3
3 2 2
0 1 2
1 2 3
0 0 3
1 3 2
3 2 0
3 0 1
0 0 0
2 3 0
1 0 1
10 9
0 0 0
0 1 2
0 2 2
1 0 1
1 2 0
0 0 1
1 2 1
0 1 0
1 2 2
2 0 0
10 7
0 5 3
2 3 0
5 4 5
1 0 1
5 5 2
5 1 1
5 4 0
5 2 5
2 5 5
1 1 1
10 2
1 2 2
2 2 2
1 0 1
0 1 0
2 2 0
2 1 1
1 1 2
2 1 0
1 0 2
2 0 1
10 2
4 0 1
1 2 3
0 0 2
3 4 0
3 0 4
2 0 0
3 1 1
4 1 0
4 4 1
2 1 2
10 8
3 1 1
1 0 0
0 1 3
1 0 1
3 3 1
3 2 3
0 0 1
0 2 1
2 1 0
1 3 1
10 7
1 4 0
3 5 3
1 2 5
4 0 4
2 1 0
5 4 3
2 0 2
5 1 1
0 0 1
3 3 4
10 5
1 0 0
2 3 4
3 1 1
3 2 1
2 3 0
3 0 4
1 2 3
1 3 0
4 1 3
2 2 2
10 3
1 4 4
3 2 3
2 1 3
1 3 1
4 4 2
3 0 4
0 0 3
2 0 2
1 1 0
3 0 1
10 9
2 1 2
1 0 1
2 2 2
0 2 0
1 1 0
0 1 2
2 1 1
2 0 1
0 1 0
0 0 1
10 3
0 0 2
3 0 2
1 3 0
5 4 4
2 0 5
3 5 1
4 5 1
4 0 3
4 5 0
3 3 3
10 2
1 3 0
3 2 1
2 1 3
3 0 0
1 1 1
0 0 1
0 3 0
0 0 2
2 0 0
0 3 1
10 9
1 3 3
0 0 3
2 1 2
3 1 3
3 0 1
0 2 2
1 2 3
2 3 2
1 0 0
3 1 0
10 7
0 0 0
0 1 1
1 2 2
0 2 1
2 0 1
2 1 1
0 2 0
2 0 2
2 1 2
1 1 1
10 2
3 1 0
3 3 1
0 1 3
2 1 2
2 3 2
2 3 1
2 0 1
2 0 0
1 2 3
1 1 1
10 7
4 1 4
0 4 0
3 2 4
2 3 2
4 1 3
0 0 3
0 2 2
2 0 0
1 0 4
4 4 4
10 2
5 0 3
5 4 0
3 1 2
4 5 5
0 3 4
1 5 5
3 2 1
4 4 1
1 0 1
2 0 0
10 6
3 0 2
3 2 1
2 3 0
0 3 0
0 0 2
2 1 2
1 1 0
3 2 2
2 0 2
1 3 3
10 3
0 4 0
3 4 3
2 0 1
4 0 4
4 4 3
2 2 3
2 4 0
3 4 4
1 0 3
3 2 1
10 2
2 2 0
1 0 1
3 0 0
1 2 2
3 1 2
2 3 1
3 2 3
0 1 1
0 1 0
0 0 3
10 5
5 3 3
5 1 5
5 1 2
3 3 3
3 1 4
0 3 3
4 3 4
3 5 0
1 4 0
3 1 3
10 7
3 5 0
5 1 5
0 2 5
1 1 2
5 1 4
4 3 4
3 4 5
2 5 0
2 2 2
1 1 4
10 6
3 1 3
0 2 4
3 0 2
4 3 3
0 0 2
4 3 1
0 3 4
4 1 0
2 4 4
4 0 0
10 3
1 3 0
0 0 0
3 1 0
3 0 1
0 0 2
1 0 1
2 2 0
3 1 3
1 2 0
0 2 2
10 6
2 5 4
5 1 4
0 2 4
2 5 2
0 3 1
2 0 1
1 3 4
3 0 4
5 0 0
2 2 2
10 9
1 3 2
1 1 3
1 0 3
3 2 0
3 0 3
3 0 0
1 3 1
3 1 1
2 2 1
3 3 0
10 2
0 3 2
3 4 4
0 4 0
3 2 4
0 1 4
1 4 1
3 4 0
1 0 4
3 4 1
2 4 4
10 5
1 0 5
2 0 3
1 4 2
3 0 5
1 3 4
4 3 4
2 0 4
2 5 5
0 0 3
3 3 2
10 2
0 1 2
2 0 4
3 0 4
3 0 2
4 2 0
2 2 0
3 3 3
1 2 1
3 0 3
1 2 0
10 2
3 2 3
2 3 1
3 3 1
3 1 1
0 1 2
2 3 2
3 0 2
2 3 3
0 2 1
0 1 0
10 7
2 2 3
0 2 1
0 0 1
2 0 2
0 0 3
3 1 0
1 2 3
1 1 1
1 1 2
3 3 1
10 8
2 2 2
2 3 1
3 2 2
1 2 3
2 0 1
2 2 1
0 2 2
2 0 3
1 0 3
2 1 1
10 2
0 2 0
2 0 1
0 2 2
2 2 2
0 1 1
0 1 0
2 0 2
1 0 1
1 1 2
0 2 1
10 9
2 3 5
1 0 4
3 2 4
2 1 4
2 3 0
2 4 2
3 1 3
0 5 3
5 4 5
5 1 0
10 9
2 2 1
4 3 4
1 2 5
4 5 2
4 5 4
1 4 0
3 0 5
0 3 5
2 2 3
4 0 0
10 5
2 2 3
2 1 3
1 2 0
1 1 3
3 0 3
3 1 3
0 1 2
2 0 1
0 3 1
3 0 0
10 8
2 1 2
0 3 0
0 0 1
3 3 0
2 1 0
0 1 1
3 2 1
1 3 0
1 3 3
1 2 3
10 4
4 4 1
0 4 3
1 4 2
3 2 3
3 2 4
0 2 4
4 2 2
2 4 1
2 4 0
4 0 0
10 3
2 0 0
0 0 2
1 0 0
1 2 2
0 2 0
1 0 1
2 2 1
2 1 2
2 2 0
0 0 0
10 6
3 0 2
4 4 3
3 2 0
4 0 2
3 2 2
1 0 0
2 0 2
1 4 1
3 3 2
3 4 4
10 8
0 1 2
2 1 1
0 2 4
4 1 3
4 0 1
2 3 1
3 1 4
2 3 2
2 4 1
2 1 2
10 3
0 4 3
0 4 1
2 1 0
1 2 4
3 3 0
3 1 2
1 2 3
4 4 4
4 0 1
4 4 2
10 3
1 1 1
1 1 2
1 3 0
2 2 1
2 3 3
2 0 1
0 0 1
0 0 0
1 3 2
0 3 1
10 2
2 1 2
1 0 0
2 2 0
2 0 2
1 1 1
1 2 1
2 2 2
0 0 2
2 2 1
0 0 0
10 9
2 1 2
1 2 2
2 2 2
0 0 0
1 2 1
2 2 0
2 2 1
1 0 1
0 2 2
1 2 0
10 9
3 1 4
5 4 3
3 1 0
0 3 2
5 1 3
1 4 0
0 2 3
3 1 1
3 4 4
2 5 1
10 6
3 3 3
3 5 0
1 3 4
3 1 5
4 2 5
4 2 4
3 5 2
3 0 0
0 4 2
4 0 2
10 2
3 4 3
2 0 3
3 0 0
1 3 0
1 1 2
3 2 2
4 1 2
0 2 0
4 2 4
4 4 1
10 3
2 4 3
1 0 0
5 4 2
5 4 0
1 3 3
5 2 1
0 4 4
1 3 5
2 3 4
3 1 5
10 9
0 2 1
1 4 2
4 4 3
0 2 2
1 2 1
0 2 4
1 0 2
1 0 3
4 3 4
4 3 2
10 4
3 4 1
0 4 2
3 1 1
4 3 2
1 2 0
1 1 3
1 2 3
3 1 0
2 1 0
2 0 3
10 8
0 1 0
0 2 1
1 0 0
2 1 1
1 0 1
2 2 1
1 1 1
1 2 2
2 2 0
0 2 2
10 2
3 1 1
0 3 3
0 2 0
1 3 2
0 2 2
0 2 3
3 1 2
0 0 1
2 1 3
0 0 0
10 8
2 0 1
2 2 2
4 3 3
3 2 4
0 0 4
0 1 3
3 4 1
4 3 4
2 4 4
0 2 1
10 4
3 4 0
4 2 0
1 1 3
0 2 4
1 3 3
3 4 1
3 0 3
0 0 2
1 0 2
2 1 4
10 2
0 1 3
2 4 5
4 2 4
4 3 5
1 4 1
2 3 2
0 0 5
4 1 5
5 3 3
4 4 3
10 3
2 2 2
3 0 1
2 1 1
3 2 0
1 3 3
1 1 3
1 3 1
0 2 2
0 1 2
1 2 1
10 8
0 0 3
3 2 3
3 0 3
0 3 3
2 2 2
1 2 1
3 0 2
0 1 0
1 2 0
2 3 3
10 2
1 1 0
1 2 0
1 0 1
1 2 1
2 2 1
2 2 0
1 0 0
0 2 0
0 1 1
2 1 2
10 2
1 2 1
0 2 0
2 2 2
1 1 0
2 0 2
2 0 1
2 1 0
2 2 0
1 2 2
2 0 0
10 7
2 1 5
2 1 0
2 2 5
4 4 4
0 2 5
4 5 0
0 2 4
1 4 4
2 5 2
0 2 3
10 4
3 0 3
2 3 0
2 2 1
1 0 3
2 2 2
3 1 0
1 0 0
0 3 2
0 2 0
1 1 3
10 8
1 5 3
4 1 2
3 2 5
1 1 5
0 2 0
1 1 1
0 4 5
0 2 2
5 1 3
5 0 3
10 7
3 2 2
1 3 4
1 1 1
1 5 4
5 2 1
1 2 1
0 0 1
4 4 4
2 2 0
3 5 5
10 7
1 4 3
3 2 4
2 4 1
2 3 4
3 2 2
0 1 2
4 4 2
4 3 3
3 3 0
2 1 3
10 7
1 1 2
0 2 1
2 1 0
2 2 1
0 2 2
1 0 1
1 0 0
0 1 2
2 2 2
1 1 1
10 3
2 2 1
2 2 2
2 0 2
2 2 0
0 0 2
2 0 0
0 2 2
1 2 2
2 1 2
1 0 0
10 6
4 3 5
0 2 2
1 4 0
4 1 0
1 5 4
5 4 1
3 5 2
1 3 0
4 1 5
2 1 5
10 6
2 0 2
0 1 0
1 0 2
0 2 0
0 0 2
0 1 1
1 0 1
0 0 1
1 2 2
1 1 0
10 7
3 1 0
0 3 1
1 1 3
1 3 0
2 2 1
2 1 0
2 3 3
0 1 1
1 2 2
0 3 0
10 2
3 2 2
0 1 3
1 1 1
2 4 4
1 0 4
1 2 2
4 1 3
3 1 2
2 0 3
3 3 0
10 8
2 1 1
0 2 0
0 0 2
0 1 2
2 1 2
2 2 2
0 0 0
0 2 2
1 1 2
1 2 0
10 7
1 0 0
3 2 4
2 1 2
4 0 2
1 2 3
5 5 2
4 4 2
5 3 0
2 4 2
3 3 5
10 8
2 1 1
2 0 2
1 2 1
0 1 2
2 1 0
1 0 0
0 0 2
2 2 1
1 0 1
0 1 1
10 9
0 1 0
2 0 2
2 2 0
0 2 0
3 2 0
0 0 0
3 2 2
0 3 0
3 1 2
1 3 0
10 7
1 1 2
0 2 0
0 0 1
2 0 2
2 1 1
2 1 0
2 2 1
1 1 1
2 2 0
1 0 2
10 5
2 2 0
1 0 2
2 0 1
0 0 2
0 1 1
1 0 1
1 0 0
0 2 0
2 2 2
2 0 0
10 9
0 2 1
2 0 2
1 2 2
1 0 1
2 2 0
2 1 1
2 1 2
1 1 0
0 0 2
0 1 0
10 7
4 1 0
1 4 3
3 1 4
0 1 1
2 4 3
4 0 3
0 0 3
1 4 4
2 0 2
2 4 2
10 7
1 4 5
2 1 0
5 5 2
4 0 3
1 3 5
4 4 1
1 4 3
0 5 1
0 1 4
0 0 5
10 6
2 0 5
1 5 5
2 4 5
0 2 0
1 1 2
5 5 3
4 2 0
4 2 2
3 0 2
2 3 5
10 5
4 1 1
3 1 4
4 0 3
3 1 0
2 4 0
2 4 4
0 3 1
4 4 4
2 0 4
3 1 2
10 8
1 0 2
1 2 0
0 0 1
2 1 2
1 2 1
2 0 2
1 1 0
0 1 0
0 0 2
2 0 0
10 8
3 3 1
1 1 3
5 0 2
5 3 2
4 2 3
5 3 4
5 0 0
2 4 0
5 1 4
2 3 0
10 8
0 1 1
1 0 2
1 0 0
0 2 0
2 2 2
2 0 0
2 0 2
1 0 1
0 2 1
2 2 1
10 7
1 1 1
0 0 2
0 2 0
2 1 1
0 0 1
1 2 1
2 2 0
0 1 2
1 0 0
0 1 0
10 3
0 2 2
0 3 3
3 2 0
1 0 0
3 2 2
3 2 3
0 0 2
2 2 3
3 3 0
3 1 1
10 7
3 4 4
4 4 2
2 3 4
2 1 0
3 0 2
4 0 1
1 3 3
0 4 1
1 4 1
0 0 2
10 9
3 0 0
0 1 3
3 1 3
0 1 4
2 4 1
1 1 0
0 2 0
2 2 1
0 1 1
0 1 2
10 5
3 2 2
3 3 2
0 2 2
2 2 2
2 1 2
0 2 3
1 3 3
2 0 1
0 1 2
1 3 0
10 2
1 1 0
0 0 2
2 1 1
0 0 0
0 2 2
2 0 1
1 1 2
1 2 2
1 0 1
2 1 2
10 2
2 2 1
2 1 0
0 0 2
2 2 0
1 2 1
0 2 2
0 0 0
1 0 0
2 2 2
1 0 2
10 4
5 3 5
2 2 4
3 0 4
1 2 3
5 0 2
4 1 5
5 2 0
1 2 0
4 0 3
1 2 5
10 7
0 1 1
1 2 4
0 2 4
2 1 5
2 4 3
2 0 3
1 0 5
1 4 4
1 0 4
3 4 1
10 8
2 1 0
5 4 4
4 0 3
3 1 3
1 5 0
5 2 4
5 3 0
0 2 0
4 1 3
3 1 1
10 5
2 1 2
2 3 0
3 2 3
0 0 3
1 2 0
1 2 3
0 3 0
2 0 2
0 0 0
1 3 2
10 8
3 4 2
3 2 2
3 1 4
3 0 2
1 1 4
4 3 1
2 4 0
1 2 0
1 1 3
3 4 1
10 9
3 1 2
0 1 3
1 1 0
3 3 0
2 2 3
3 2 1
3 0 3
1 0 1
3 1 1
3 3 3
10 7
1 2 0
1 1 0
1 1 1
2 2 2
2 2 0
0 2 1
0 0 1
2 1 2
0 0 0
1 0 1
10 6
0 0 3
0 2 3
1 2 0
0 3 1
1 3 3
0 2 0
1 2 1
2 0 0
3 0 0
2 3 2
10 3
0 0 0
1 0 0
2 3 3
0 1 2
2 0 1
2 1 2
3 3 1
0 0 1
2 2 0
2 2 1
10 2
2 5 2
2 2 3
2 1 4
3 3 0
1 5 5
3 1 3
4 2 1
1 5 0
0 1 0
2 5 0
10 8
2 2 2
2 1 1
2 3 2
2 0 3
2 2 3
3 1 0
0 2 2
0 2 3
3 1 3
2 1 2
10 5
2 1 2
2 2 1
1 0 1
1 1 2
1 0 2
2 2 2
1 2 1
1 1 1
0 1 1
1 1 0
10 6
1 1 0
2 0 0
3 2 3
0 1 3
3 3 1
2 2 2
1 0 1
2 3 1
2 3 2
0 3 2
10 4
0 0 1
1 2 0
2 1 1
0 0 2
0 2 1
1 0 1
0 1 2
1 1 2
1 1 1
1 0 2
10 6
0 3 0
3 3 4
1 0 2
1 2 3
1 0 3
2 0 3
2 3 4
1 1 1
3 3 1
1 3 2
10 5
0 0 0
0 1 0
1 0 1
2 1 2
2 0 2
1 1 2
2 1 1
2 1 0
1 1 1
1 2 1
10 3
4 5 4
4 1 0
4 0 4
1 3 1
2 2 5
4 5 0
3 0 0
1 4 5
4 3 4
2 4 3
10 7
0 3 1
3 1 1
1 3 0
3 0 3
1 1 1
0 2 1
1 0 0
2 1 1
0 1 2
2 2 0
10 6
3 1 1
2 5 0
1 1 0
2 3 5
2 2 0
3 1 5
0 3 3
2 3 0
5 3 0
3 3 5
10 2
0 2 2
1 2 2
0 1 0
0 0 1
1 1 1
2 0 1
1 2 0
1 0 2
0 0 2
0 2 0
10 7
3 3 4
2 1 5
3 1 0
0 1 1
2 1 3
4 3 1
0 2 1
2 2 1
5 2 1
3 4 3
10 9
2 3 0
0 0 2
3 2 0
1 2 1
3 3 3
0 0 1
0 3 3
1 3 1
2 3 1
0 3 0
10 2
0 0 0
2 3 2
0 2 1
2 1 3
3 0 3
3 1 1
1 2 3
2 2 1
3 3 1
0 2 0
10 7
0 0 3
2 0 1
2 2 1
4 1 3
4 2 3
2 1 2
1 3 0
0 4 3
4 3 4
4 3 1
10 6
0 0 2
2 2 2
2 0 0
2 1 1
0 2 2
2 2 1
0 2 0
1 2 2
1 0 1
2 2 0
10 4
5 2 4
1 2 5
3 2 4
4 2 5
1 1 0
4 0 2
5 2 1
3 3 4
4 3 5
5 1 4
10 8
2 2 3
2 1 0
3 4 2
0 3 1
4 3 0
2 1 1
3 1 3
1 0 0
4 4 0
1 0 4
10 9
3 2 2
1 1 2
3 0 3
0 2 3
3 3 2
0 1 0
2 2 3
0 1 3
2 2 2
3 0 2
10 5
2 2 1
0 1 0
1 2 1
1 1 1
0 0 1
2 2 2
0 2 1
0 0 0
0 0 2
2 0 1
10 5
4 4 3
3 3 3
3 0 5
0 3 4
2 0 4
5 5 4
3 2 2
0 3 0
0 5 0
1 3 0
10 4
4 4 4
3 1 3
4 1 3
0 2 4
0 4 3
2 3 0
3 3 3
1 2 3
1 1 2
0 1 0
10 7
0 2 1
1 4 2
3 2 0
3 4 2
4 4 1
4 3 2
4 3 0
0 3 0
3 0 0
3 0 2
10 9
2 2 2
2 1 2
1 2 1
1 0 2
2 0 2
0 0 2
2 1 1
1 2 2
0 2 1
0 2 0
10 4
2 2 2
0 3 3
1 0 1
0 3 0
1 0 2
2 1 1
3 2 1
3 0 2
2 0 1
2 3 2
10 9
0 1 1
0 2 1
1 2 5
4 3 2
3 3 2
1 3 1
1 4 4
1 2 4
0 0 1
3 4 3
10 4
4 1 1
4 3 4
1 1 1
0 4 2
1 1 2
2 3 1
1 1 3
2 4 3
0 2 1
3 2 1
10 4
1 1 0
2 1 1
0 1 2
2 1 0
2 2 1
0 2 2
1 2 2
2 2 2
0 2 1
0 1 1
10 3
0 2 2
2 1 0
1 2 2
0 1 0
1 0 0
1 0 1
1 0 2
1 1 1
0 2 1
2 0 0
10 3
2 0 0
2 2 3
3 3 3
3 0 3
2 2 2
0 2 0
4 3 3
2 3 3
4 0 4
2 4 1
10 9
5 3 1
4 5 4
4 4 0
0 1 0
5 5 5
2 3 3
5 1 0
4 2 2
5 0 3
4 3 3
10 2
4 5 0
3 1 4
0 2 2
0 3 3
2 2 5
2 3 5
2 3 3
0 3 5
1 5 0
1 0 5
10 5
2 3 0
5 3 4
5 1 5
0 4 4
2 0 5
4 0 3
2 2 2
3 0 0
4 0 0
0 2 4
10 6
2 1 1
1 2 1
2 1 0
0 2 2
1 2 2
1 0 1
1 1 1
0 0 1
2 0 1
1 0 0
10 2
0 0 0
3 3 2
2 0 1
0 0 2
0 3 0
2 1 2
3 2 1
2 2 3
0 2 2
1 3 2
10 3
0 2 1
0 1 3
2 0 0
2 0 2
1 3 3
2 3 2
3 3 2
0 0 1
3 2 2
1 0 2
10 2
1 2 0
2 2 1
1 1 0
1 1 2
2 1 2
0 0 2
0 0 1
1 2 1
2 0 2
2 0 1
10 5
0 0 0
1 0 0
0 1 1
0 2 1
2 2 2
2 1 0
1 1 0
0 0 1
2 2 1
2 2 0
10 4
4 1 1
1 5 4
5 0 3
4 2 1
0 0 2
0 5 3
5 5 5
5 0 0
1 3 5
2 3 3
10 9
1 1 1
2 0 1
1 2 0
0 2 1
2 2 2
1 0 1
1 0 0
2 1 1
2 2 0
2 2 1
10 3
5 0 1
5 3 1
4 4 0
4 2 3
2 5 5
3 5 4
2 0 0
1 1 0
0 1 0
5 1 4
10 5
4 4 4
2 4 3
2 3 4
1 4 4
3 3 2
1 2 4
4 1 3
2 2 1
3 4 1
2 3 0
10 4
2 2 2
0 2 0
1 2 1
0 1 0
2 1 0
2 0 1
2 0 0
1 0 0
1 1 1
0 0 0
10 5
4 0 2
1 0 1
0 2 2
0 2 4
3 2 3
1 1 3
3 3 0
4 2 0
4 0 3
1 3 0
10 6
3 0 3
2 3 0
2 1 2
0 1 1
1 2 3
0 2 2
3 0 2
0 0 3
2 2 1
1 1 3
10 4
1 1 3
2 5 3
3 1 0
0 2 1
5 5 5
5 3 2
0 1 1
3 0 0
4 2 1
5 2 3
10 3
1 3 0
1 4 2
1 4 0
5 4 1
2 0 3
3 3 2
3 0 2
5 2 5
1 1 4
4 0 0
10 8
3 5 5
4 3 1
1 3 0
3 2 0
1 0 5
1 5 4
3 0 4
5 2 1
1 4 4
4 1 0
10 3
2 3 3
3 2 4
2 4 2
3 3 0
0 0 4
2 1 1
1 4 2
3 3 4
2 2 3
4 3 2
10 3
3 0 1
2 1 2
2 0 2
1 0 3
1 1 3
2 3 0
1 2 1
2 0 1
3 0 2
0 1 3
10 9
1 2 1
2 2 0
0 2 1
1 0 5
5 5 2
5 0 1
2 5 4
2 2 3
1 3 3
4 3 2
10 2
2 0 0
0 1 0
2 2 1
0 0 2
0 1 2
0 2 0
1 2 0
2 2 0
1 0 1
0 1 1
10 8
4 1 2
0 1 4
2 4 1
2 0 2
3 3 2
3 4 3
2 3 3
1 1 3
4 1 1
4 3 3
10 9
2 4 3
0 2 3
3 0 1
3 3 3
1 5 0
1 2 5
2 0 2
1 1 0
0 0 1
5 3 1
10 3
2 1 2
1 0 0
2 2 2
2 1 0
2 0 1
1 0 2
0 2 2
0 0 1
0 0 0
1 1 1
10 8
3 2 1
2 4 3
4 3 1
2 3 2
4 3 3
3 5 2
4 5 5
0 2 4
0 4 1
4 1 3
10 7
4 4 4
4 3 3
4 4 5
5 0 0
2 3 1
1 2 2
0 2 5
2 3 4
1 1 1
2 1 0
10 7
2 4 4
4 1 1
5 3 4
1 0 1
4 3 1
1 3 2
4 0 2
4 4 3
0 1 5
5 0 5
10 9
0 0 1
1 1 2
2 0 0
1 0 0
1 1 1
1 2 0
0 2 2
0 1 2
2 1 1
2 2 0
10 5
4 3 0
0 2 1
3 0 2
0 0 3
4 3 4
3 0 0
2 2 3
3 4 2
3 3 1
1 2 4
10 3
1 4 0
3 3 4
3 2 4
4 4 2
4 4 4
2 1 2
3 1 2
2 2 3
2 2 2
1 0 3
10 2
3 4 2
1 4 4
1 0 3
0 4 1
5 2 2
0 2 4
5 5 3
0 2 1
2 0 3
0 1 3
10 3
1 0 1
1 0 2
0 1 2
1 1 2
0 2 0
2 1 1
2 0 0
2 2 1
1 2 1
0 1 0
10 8
2 1 0
0 2 1
2 2 0
1 0 2
1 1 1
2 0 2
0 1 0
2 2 2
0 2 2
2 0 1
10 4
2 0 3
1 5 1
5 2 0
2 5 3
5 5 5
0 2 2
2 4 5
5 5 0
5 5 2
5 1 0
10 8
2 0 2
1 1 0
3 0 2
2 3 3
3 1 1
1 0 0
1 1 2
0 1 2
3 0 3
1 2 1
10 9
2 0 0
0 0 0
0 2 1
0 2 2
2 1 2
2 2 2
1 0 0
1 0 2
1 0 1
1 1 1
10 4
3 2 4
3 3 2
0 2 2
1 2 1
4 2 0
0 0 1
4 0 1
1 3 3
0 0 0
4 3 4
10 6
2 1 1
0 2 0
0 1 0
1 1 1
0 2 1
1 2 2
0 0 2
0 2 2
2 2 2
2 0 0
10 4
3 3 3
2 3 2
3 0 0
0 3 1
3 1 2
3 0 3
3 1 3
2 2 2
1 0 0
3 0 2
10 7
1 0 2
1 1 1
2 1 2
1 1 0
2 2 2
2 0 1
1 2 2
1 0 0
0 0 2
0 1 1
10 3
0 0 3
4 0 4
4 3 0
3 4 0
2 2 5
0 3 1
5 4 5
0 4 4
2 3 4
3 5 1
10 6
1 1 2
1 2 2
2 0 1
3 2 1
0 3 3
3 3 1
1 1 1
1 0 1
3 2 0
2 2 2
10 8
2 0 1
1 2 1
2 2 1
0 1 0
0 2 1
0 1 1
0 0 1
1 0 0
0 2 0
1 1 1
10 9
3 1 2
2 2 1
1 2 2
1 3 0
3 0 1
2 2 0
1 3 1
2 2 3
2 0 3
0 0 1
10 7
2 0 4
1 5 1
5 1 3
3 4 3
2 1 4
4 3 2
5 1 5
0 1 1
0 4 0
4 2 3
10 2
3 0 4
5 4 4
3 3 0
3 3 3
2 2 5
3 4 3
0 0 4
5 5 2
1 4 0
1 3 2
10 9
2 1 2
2 2 3
0 3 0
1 2 0
2 1 1
0 1 0
2 1 3
0 2 3
3 1 2
0 1 3
10 8
0 3 4
5 1 3
5 0 1
3 0 2
3 5 2
0 5 0
5 2 4
5 5 5
3 3 1
2 4 3
10 3
2 1 0
1 1 0
1 1 1
1 1 2
2 2 0
2 0 2
0 2 1
1 2 2
0 0 2
1 0 0
10 8
2 1 1
1 2 1
0 4 0
2 1 2
3 0 4
3 3 0
1 0 0
4 3 3
3 1 4
2 2 0
10 5
2 0 2
1 0 1
2 1 0
2 0 0
0 0 0
1 0 0
1 0 2
0 0 2
0 2 2
0 1 2
10 9
4 1 3
1 1 0
3 1 1
2 3 5
3 3 1
2 5 5
3 1 3
3 4 1
5 0 3
0 1 5
10 9
2 1 0
0 2 0
0 0 2
2 1 1
1 1 1
1 1 0
0 1 0
1 2 2
1 2 0
2 2 0
10 7
2 0 3
2 1 2
2 2 1
2 3 1
1 0 1
3 0 2
0 0 0
1 2 0
3 3 0
1 1 0
10 3
0 0 0
1 1 2
0 1 0
1 2 2
1 1 0
0 1 1
0 0 1
0 2 0
2 1 0
0 0 2
10 4
2 2 0
2 0 0
0 2 0
1 2 1
0 1 1
0 0 0
1 2 2
0 1 2
0 0 1
0 0 2
10 8
5 1 3
3 2 4
2 1 3
3 4 2
3 2 2
5 5 3
5 5 4
0 4 0
2 2 3
0 0 3
10 3
0 2 1
1 1 0
0 0 2
0 1 2
0 2 2
1 0 1
2 0 2
2 2 0
1 1 2
1 0 0
10 5
1 1 1
3 0 2
0 1 3
2 0 2
3 2 2
0 1 2
0 1 1
0 3 2
1 0 0
0 0 2
10 7
2 1 2
2 2 2
0 0 2
1 2 1
0 2 2
1 1 0
1 2 2
0 0 1
0 1 1
2 1 1
10 7
0 2 3
4 3 4
2 4 4
4 4 2
4 2 5
5 3 3
2 1 5
2 4 0
4 4 0
5 2 1
10 4
1 2 0
1 0 1
3 1 2
2 0 2
0 2 0
1 0 3
1 2 3
0 3 2
2 1 2
0 0 3
10 4
0 4 0
2 4 0
2 0 0
3 1 2
0 4 3
4 0 2
2 2 3
4 2 1
3 2 4
3 1 4
10 2
5 5 3
5 4 3
0 4 0
4 1 3
1 4 0
5 4 5
4 3 3
4 0 5
1 4 4
4 4 2
10 7
4 4 0
5 5 5
1 1 5
2 3 2
5 0 3
4 5 3
3 4 5
1 1 4
1 0 5
1 2 2
10 2
3 0 0
2 4 1
1 1 4
3 2 4
3 3 2
2 4 0
3 4 4
0 3 4
4 1 2
1 0 3
10 2
1 3 2
3 2 1
1 1 0
3 1 2
3 0 2
2 3 2
2 3 0
1 1 2
2 1 3
3 2 3
10 3
3 0 5
5 2 0
2 2 1
0 0 5
5 3 0
0 4 0
1 5 4
1 3 0
1 1 2
5 0 4
10 8
0 2 2
1 0 0
2 2 2
2 1 2
0 0 1
1 2 0
0 0 0
1 2 2
2 0 2
1 1 2
10 5
2 3 1
4 5 1
5 1 5
5 3 5
2 3 0
2 3 4
3 2 0
2 2 1
1 1 5
3 3 5
10 9
3 4 3
3 1 3
2 4 3
4 2 2
3 2 4
0 4 4
1 4 2
2 4 1
0 3 3
0 4 1
10 2
3 2 0
4 4 3
4 0 1
0 1 4
3 4 2
3 2 4
0 1 2
2 3 0
1 2 2
2 1 2
10 7
0 1 0
2 0 0
1 2 1
2 2 2
2 1 1
1 1 1
2 1 0
2 2 1
0 2 2
1 0 1
10 4
2 0 3
2 0 0
5 5 1
2 2 0
3 4 3
4 1 3
5 5 5
1 1 3
2 5 1
3 2 5
10 7
3 3 3
4 2 0
3 1 5
5 2 2
0 1 2
4 3 4
1 1 5
5 0 1
5 2 4
4 4 2
10 2
3 1 0
1 3 0
0 1 2
0 1 0
3 2 2
2 0 1
1 3 1
3 3 3
0 3 2
0 1 3
10 3
1 1 1
0 2 2
0 2 1
1 0 2
1 2 2
0 1 1
2 1 0
0 1 2
1 0 0
2 2 1
10 3
1 2 3
3 1 3
1 3 0
2 0 2
2 2 0
3 0 1
3 1 0
3 3 0
1 1 2
2 3 2
10 4
1 3 0
2 4 2
4 3 0
4 1 4
0 2 0
0 2 1
1 3 3
4 4 3
0 0 3
3 0 2
10 7
0 2 3
2 4 1
1 4 3
0 5 1
2 3 4
3 3 3
2 5 2
5 4 2
5 4 5
0 1 2
10 9
2 0 0
0 1 0
2 1 1
0 1 1
2 2 1
0 0 0
1 2 0
2 1 0
1 1 0
2 2 2
10 9
3 4 2
4 3 3
2 1 4
2 4 1
3 2 3
0 2 3
4 3 4
3 4 1
2 3 2
2 1 0
10 5
0 2 1
0 2 0
1 1 2
0 2 2
1 2 1
1 0 1
1 2 0
2 1 1
0 1 1
2 0 2
10 7
3 2 1
2 2 2
1 2 1
0 2 1
2 1 3
0 4 0
1 3 4
3 3 4
4 3 1
3 0 0
10 9
2 2 1
0 1 0
0 2 0
1 0 1
2 1 0
0 1 1
1 2 2
2 0 2
2 2 2
1 0 0
10 6
4 2 3
2 2 1
3 0 1
4 0 2
0 2 3
2 3 2
4 3 0
2 0 3
4 4 3
3 4 1
10 6
4 0 4
2 3 3
4 2 1
2 2 2
1 3 1
4 0 1
1 2 5
5 4 2
4 1 4
2 2 1
10 6
3 0 2
1 0 4
2 0 0
2 0 2
2 2 2
3 1 3
1 2 4
2 4 4
1 2 2
4 4 0
10 2
0 1 2
1 0 0
0 2 0
1 2 2
2 0 1
2 2 0
1 0 1
1 2 0
1 0 2
0 2 1
10 4
3 0 5
2 5 1
3 5 0
0 5 5
5 1 1
1 5 4
3 2 1
5 1 3
5 1 5
3 5 1
10 7
0 3 0
2 1 0
2 3 0
0 0 3
1 2 0
2 3 3
3 0 3
0 3 3
2 2 1
0 3 1
10 9
2 1 1
0 3 0
0 1 1
3 2 3
2 0 3
2 2 2
1 1 0
1 2 3
1 3 0
0 1 0
10 4
0 4 2
2 3 4
2 0 3
4 3 3
0 1 3
5 0 0
1 1 4
3 5 0
0 4 5
5 1 0
10 5
0 3 0
3 4 3
5 4 5
3 0 4
3 5 1
3 5 0
0 1 5
0 0 5
3 4 1
2 1 1
10 5
2 1 2
0 0 1
1 2 1
2 2 1
1 3 1
0 3 3
0 0 2
0 2 2
0 3 0
2 0 1
10 3
1 5 4
5 3 2
4 1 1
0 5 4
1 5 3
3 1 2
3 0 2
2 0 3
4 4 4
2 5 0
10 5
2 5 0
2 2 5
5 2 2
3 2 5
4 5 3
0 3 3
1 2 0
4 2 0
1 2 3
1 4 5
10 2
2 4 0
1 4 1
0 1 2
3 4 0
3 0 0
0 1 0
1 4 3
3 1 0
4 1 0
4 2 1
10 2
1 1 0
1 1 1
2 0 3
0 1 0
0 0 1
0 3 1
0 1 1
1 3 1
2 3 0
2 2 1
10 7
1 4 2
0 3 0
3 2 4
1 4 3
1 3 3
4 2 0
0 4 0
1 0 4
2 3 1
0 0 3
10 3
2 1 1
1 1 2
2 0 2
1 2 2
1 1 0
0 0 0
0 2 1
1 2 0
0 1 2
2 1 2
10 2
0 1 3
2 1 3
1 3 0
1 0 3
1 2 3
3 2 3
3 2 1
1 1 0
3 3 1
2 3 1
10 2
1 2 2
2 1 1
0 1 1
2 0 2
2 2 0
2 0 1
1 0 2
2 2 2
0 0 2
0 0 0
10 7
1 2 5
1 3 1
1 4 1
2 2 0
3 1 1
5 2 4
4 0 5
2 0 3
3 3 4
4 1 2
10 4
1 1 0
0 1 2
0 1 0
2 1 0
2 1 2
1 1 1
0 2 0
0 0 0
0 1 1
1 2 2
10 6
3 4 1
0 0 4
3 3 3
0 4 3
4 4 4
1 3 0
4 2 2
1 4 3
1 2 3
0 1 0
10 9
0 2 0
0 1 0
2 1 2
1 0 0
0 2 1
2 2 1
0 0 1
2 0 0
2 1 1
1 1 1
10 6
2 0 0
1 3 3
2 3 0
3 3 0
0 0 1
0 2 2
1 0 3
3 1 1
2 1 0
2 3 2
10 6
5 0 0
5 2 3
2 5 3
5 3 5
5 3 2
1 0 5
5 4 4
3 5 4
4 3 0
4 4 0
10 4
2 0 1
2 2 2
2 3 3
1 1 3
3 1 3
1 3 2
3 3 2
3 2 2
3 0 1
3 0 3
10 2
1 3 0
0 2 3
3 1 2
3 4 3
1 0 1
4 3 4
3 0 2
3 2 1
3 0 1
0 3 0
10 6
0 2 1
2 2 2
1 0 1
0 1 1
2 1 1
0 0 2
2 2 1
1 1 2
2 0 0
1 0 0
10 6
0 1 1
0 0 0
1 2 2
0 0 2
0 2 2
1 0 1
0 2 1
0 1 2
0 1 0
1 0 2
10 5
1 0 2
0 0 2
2 1 2
2 0 2
2 0 1
0 1 1
1 1 2
0 1 2
2 2 2
1 1 0
10 3
1 0 0
0 0 0
3 3 2
2 1 2
0 2 1
1 0 3
2 2 0
2 0 0
1 0 2
3 2 0
10 7
4 3 2
3 1 4
2 2 0
4 3 4
2 3 3
2 2 1
4 3 0
2 0 1
2 3 0
3 1 0
10 9
1 1 2
2 1 2
0 2 2
1 2 2
2 2 2
1 2 1
2 2 0
0 0 2
0 0 1
2 1 1
10 4
3 4 1
3 1 0
5 5 5
2 0 0
2 2 1
0 2 2
5 5 3
5 2 3
1 3 5
5 5 2
10 6
1 5 0
2 0 2
3 0 3
2 1 0
4 3 0
0 0 2
2 4 5
1 0 5
1 4 1
5 0 4
10 7
2 0 2
3 1 2
5 0 2
3 3 4
5 4 1
5 2 3
4 1 2
1 5 0
4 0 2
0 4 3
10 4
0 4 3
3 4 1
2 3 3
2 0 4
0 4 1
1 3 4
3 3 0
4 0 4
4 1 3
2 0 1
10 6
4 5 0
1 5 5
5 4 4
1 1 2
3 2 5
2 0 0
5 2 5
2 5 0
5 5 2
3 1 1
10 3
0 2 1
3 3 0
1 1 1
0 3 3
0 0 2
0 1 0
3 3 2
2 0 3
2 2 2
0 0 1
10 5
0 0 2
0 1 0
1 2 2
0 2 0
2 0 2
2 1 1
1 0 0
0 0 0
1 1 2
2 1 0
10 8
0 1 2
1 3 0
2 1 1
0 2 0
1 2 1
2 1 0
0 0 0
0 3 3
2 2 1
0 0 2
10 4
4 5 5
4 0 4
0 1 4
2 3 3
3 2 0
2 1 4
4 2 5
0 4 4
2 3 4
3 4 5
10 7
2 0 2
1 2 2
2 2 1
0 2 0
0 2 1
2 2 0
2 0 1
1 1 2
0 1 1
0 1 0
10 5
2 4 3
0 3 4
4 2 4
1 0 4
0 3 0
3 4 4
2 4 4
2 2 4
2 1 3
4 0 4
10 3
2 1 3
0 2 2
2 3 3
1 3 1
3 2 0
0 1 3
0 3 1
3 3 3
1 2 2
3 1 0
10 3
0 1 1
0 1 2
2 0 0
1 0 1
0 1 0
2 1 2
1 2 0
0 0 0
2 2 1
2 0 2
10 6
1 1 1
2 2 0
2 2 2
2 0 0
2 0 2
2 1 2
1 2 0
0 2 1
1 0 0
0 0 0
10 2
0 1 0
2 1 1
1 1 0
0 1 2
0 0 2
0 1 1
0 0 1
1 0 2
1 2 1
2 0 1
10 2
0 1 0
0 2 1
1 1 2
2 2 1
1 0 1
1 0 0
2 1 0
2 2 0
1 2 0
0 2 0
10 2
5 1 1
2 2 4
0 4 2
0 3 2
1 3 5
3 0 1
0 3 1
0 2 4
0 2 1
4 1 5
10 5
1 0 2
3 0 0
1 2 3
1 0 1
2 2 0
0 0 1
2 3 0
1 3 2
2 2 3
1 0 0
10 2
0 2 0
0 1 2
0 2 1
1 0 0
0 0 2
1 2 0
2 0 2
2 2 0
1 2 2
0 0 1
10 2
0 5 2
3 4 4
4 0 3
1 4 1
3 3 1
5 2 0
4 2 4
2 3 5
3 2 3
5 5 2
10 3
0 1 2
0 2 2
1 0 1
2 1 2
2 0 0
1 0 2
2 1 0
2 1 1
1 2 2
0 2 1
10 2
3 2 2
1 1 1
2 3 4
1 1 0
4 3 2
3 3 3
3 4 1
0 2 0
2 1 3
4 2 1
10 9
1 2 3
0 2 1
2 0 0
1 0 2
3 3 0
3 3 1
3 0 0
0 2 3
1 1 3
0 0 0
10 9
0 2 2
2 2 0
1 1 1
1 0 1
1 2 1
2 1 1
1 2 2
0 1 0
1 0 0
0 0 1
10 8
2 0 2
1 2 1
2 1 1
1 0 0
1 0 1
1 0 2
0 0 0
0 1 0
0 2 0
1 1 0
10 5
1 5 5
1 5 3
2 4 1
0 1 5
3 1 5
1 4 4
5 0 1
1 0 5
5 1 5
5 1 3
10 3
1 2 2
2 4 3
4 3 2
3 2 1
1 2 4
2 3 1
0 4 4
0 1 3
2 1 0
3 3 2
10 7
1 1 4
1 2 0
1 4 0
1 4 3
1 3 2
4 3 1
1 0 3
3 0 0
0 1 2
3 0 3
10 7
3 1 3
1 0 0
0 3 2
2 1 2
0 2 1
3 2 2
0 1 0
2 2 3
2 2 1
0 0 2
10 9
1 1 0
3 0 4
0 3 0
4 2 3
1 3 0
3 2 3
3 0 2
3 3 2
1 2 2
1 3 4
10 7
3 3 0
2 2 3
0 1 3
2 3 0
3 3 3
3 0 1
0 1 1
1 2 1
0 2 3
2 0 2
10 7
4 1 2
3 0 1
1 0 0
2 3 4
2 0 3
2 0 4
4 1 3
2 1 3
3 2 0
3 4 1
10 7
3 1 2
3 2 0
3 0 0
1 1 1
0 1 0
0 0 3
1 3 3
3 0 2
0 3 2
2 1 1
10 5
1 3 0
2 3 3
0 3 2
2 0 0
3 2 1
1 2 2
2 3 1
1 0 3
0 1 1
1 3 2
10 3
5 4 5
5 4 0
4 0 4
0 0 3
4 3 2
1 2 2
4 3 1
1 0 5
0 4 1
1 0 1
10 3
2 1 0
3 3 2
3 2 2
0 2 2
0 1 0
1 0 1
1 3 3
3 2 0
2 2 3
0 2 0
10 7
2 1 3
2 2 0
1 2 0
0 2 2
3 0 2
0 3 3
0 1 0
1 1 3
2 1 2
3 1 1
10 7
3 1 3
3 2 3
2 2 0
1 3 1
1 2 1
1 0 3
2 3 2
0 0 0
3 3 0
3 0 0
10 8
2 3 1
0 3 1
3 2 3
1 1 3
3 0 1
3 0 3
0 1 1
1 3 3
2 2 1
0 3 2
10 7
1 1 3
2 0 1
0 1 1
2 0 3
0 1 3
1 2 2
2 0 2
3 0 1
2 1 3
2 2 3
10 4
0 0 1
2 2 3
1 1 3
5 5 0
2 4 4
0 2 4
3 4 0
2 0 2
3 3 3
0 3 4
10 5
3 0 0
1 3 3
1 0 1
1 1 3
2 2 2
2 1 0
0 0 2
1 0 3
2 3 1
1 2 1
10 9
1 0 0
2 0 1
0 1 2
2 0 2
1 2 2
2 2 1
2 1 2
1 0 2
2 2 0
0 0 2
10 5
5 3 1
4 5 4
3 1 4
3 3 0
4 0 3
3 2 3
4 1 1
1 2 3
1 0 0
4 1 0
10 3
1 0 2
2 1 2
2 2 0
0 1 1
0 2 0
1 2 0
1 0 1
0 1 0
2 0 2
0 1 2
10 8
2 0 3
1 0 1
1 3 2
3 2 2
1 3 3
1 2 0
3 0 0
1 2 2
0 1 3
0 2 3
10 9
3 0 2
0 0 3
1 1 3
2 2 0
3 1 1
0 0 1
0 2 2
3 3 2
0 2 0
1 2 1
10 8
0 0 1
1 2 2
1 3 0
3 3 2
2 0 1
3 3 1
2 0 3
3 0 0
3 2 1
1 2 1
10 3
0 2 0
0 0 1
2 2 0
2 1 0
0 1 2
1 0 1
0 1 0
2 2 2
1 1 1
1 2 2
10 2
3 3 2
1 1 3
2 0 3
2 0 2
0 1 3
3 0 0
2 3 2
1 0 2
2 1 0
0 0 3
10 9
0 2 2
0 2 0
2 2 2
2 0 0
1 1 0
0 0 2
1 2 1
0 1 1
2 0 1
2 1 1
10 6
2 0 3
1 0 0
0 3 2
3 0 2
1 0 2
1 3 0
3 1 2
2 3 3
1 3 2
1 2 0
10 4
0 3 0
2 0 2
0 3 3
0 3 1
2 0 3
1 2 2
2 2 0
2 2 1
0 1 0
2 0 1
10 7
1 0 1
1 2 0
1 0 2
2 1 0
0 0 2
2 1 2
1 2 2
0 0 1
0 2 1
0 1 1
10 5
3 1 1
1 2 0
2 0 3
0 4 0
2 2 1
1 0 4
4 4 1
3 0 4
4 1 1
1 4 0
10 7
1 2 1
2 0 4
3 2 2
2 4 2
3 3 4
1 1 1
1 2 3
4 1 1
0 1 4
0 1 3
10 8
1 0 4
1 2 1
1 4 2
1 3 3
4 4 1
4 1 3
2 2 0
4 0 1
0 1 0
2 0 0
10 3
1 0 3
2 0 2
0 2 0
2 2 0
2 2 2
0 1 0
3 3 0
0 0 0
3 1 0
1 3 2
10 2
1 1 0
2 1 4
4 1 5
3 0 0
1 0 2
5 2 2
1 4 5
1 1 2
1 1 3
4 2 2
10 2
4 3 5
5 4 1
0 2 0
4 2 3
0 4 0
3 5 4
4 0 5
3 1 5
4 3 4
3 5 0
10 3
4 1 1
4 3 4
2 1 1
2 0 1
2 4 3
1 4 3
2 3 3
1 3 0
2 4 2
0 3 3
10 8
1 0 1
2 1 1
0 0 0
1 1 1
2 1 2
2 0 2
0 2 0
1 2 0
2 2 1
1 0 2
10 4
5 0 5
3 3 0
4 1 4
4 3 4
1 5 1
1 3 5
2 4 0
1 5 2
3 1 0
1 1 0
10 2
1 1 3
0 1 3
2 3 3
0 1 2
3 3 0
3 0 1
2 1 0
3 0 0
1 1 1
3 0 3
10 9
2 2 0
1 3 3
3 0 1
3 3 2
1 2 1
2 0 1
0 1 0
1 0 1
1 0 2
0 2 3
10 4
0 1 1
2 0 0
0 2 2
2 1 1
1 1 2
2 2 0
1 1 0
0 2 0
1 1 1
0 2 1
10 5
4 1 2
3 3 4
3 0 3
0 1 0
3 0 1
1 0 3
1 4 0
3 0 2
4 1 1
0 2 2
10 9
3 2 3
1 1 2
3 1 3
1 3 1
0 0 3
2 3 1
1 1 1
3 2 0
2 2 2
3 0 0
10 4
2 1 2
2 0 2
1 2 1
2 2 1
0 1 0
0 2 2
0 2 1
1 0 1
2 1 0
1 2 0
10 4
1 1 1
1 0 1
0 0 2
2 1 0
2 2 1
0 1 2
0 0 1
2 1 2
1 0 2
1 1 0
10 6
2 2 0
2 1 2
0 2 0
2 0 0
1 1 1
2 2 1
1 2 1
0 1 1
2 1 1
2 1 0
10 4
3 0 3
1 3 3
0 3 2
3 0 0
0 2 1
2 1 2
3 3 0
2 0 0
0 1 3
1 1 2
10 4
4 1 0
2 2 1
3 1 0
4 0 3
3 3 0
4 2 3
1 2 1
2 3 1
4 2 0
2 4 0
10 7
3 3 3
3 3 2
1 1 3
1 0 0
0 0 1
2 3 2
0 1 3
2 0 2
3 0 0
2 2 0
10 4
0 3 1
1 2 3
2 2 3
3 2 1
4 3 4
1 4 4
3 4 4
2 4 3
2 0 4
2 3 3
10 9
1 2 5
2 5 1
2 4 5
2 2 0
5 5 1
1 2 0
2 5 0
4 2 5
1 5 5
0 4 3
10 4
5 3 3
4 5 5
4 1 0
1 2 5
2 2 0
2 3 4
3 2 2
2 5 2
0 1 1
1 0 3
10 9
3 1 2
2 3 4
2 5 4
2 0 2
0 1 2
5 2 4
5 3 5
5 4 4
0 5 1
5 3 3
10 4
1 1 2
3 3 1
1 1 3
0 1 2
2 0 0
3 0 2
1 3 3
1 2 1
2 3 2
0 2 3
10 3
1 5 0
3 1 3
1 1 4
1 5 2
3 2 5
5 0 2
1 5 1
3 0 0
3 0 1
5 3 3
10 5
2 0 2
2 3 2
2 1 1
0 2 2
0 2 0
3 3 1
0 1 0
1 3 0
1 3 3
3 0 0
10 8
2 0 0
1 1 0
1 2 2
1 1 1
0 1 0
2 2 1
2 0 2
2 2 2
1 2 0
1 0 0
10 2
2 0 2
1 0 1
0 0 1
0 0 0
0 0 2
1 2 2
0 1 0
0 1 2
1 2 0
2 2 2
10 8
3 4 1
3 3 1
4 2 1
1 3 1
0 2 0
4 3 0
0 0 1
1 1 0
4 1 0
3 4 4
10 9
0 1 3
1 3 2
0 0 2
1 2 3
2 2 2
0 3 0
0 0 3
2 0 2
0 1 0
1 2 1
10 6
0 0 0
3 1 1
3 0 2
0 3 2
0 2 1
0 3 0
1 2 3
1 3 3
2 1 2
2 0 2
10 7
2 2 3
2 3 3
3 3 2
4 2 3
0 0 2
2 4 2
2 1 1
4 2 2
0 3 1
4 4 1
10 3
5 4 1
3 0 0
4 4 1
4 4 2
5 5 2
2 3 0
5 0 2
2 5 5
3 4 0
3 1 4
10 2
4 3 4
1 1 5
1 3 5
0 1 4
4 4 4
2 5 2
2 4 4
5 4 0
0 0 3
3 4 2
10 7
1 1 0
0 2 1
2 0 0
2 2 2
0 2 2
0 0 0
1 2 0
0 0 2
2 1 1
1 1 2
10 7
3 0 1
0 3 2
4 3 4
4 2 2
5 3 0
5 2 5
3 1 4
4 4 0
5 2 3
1 2 2
10 2
3 2 2
3 3 3
2 1 3
0 0 0
0 1 1
3 3 1
0 0 1
0 3 3
0 1 2
3 3 0
10 3
0 3 0
4 2 0
1 3 1
4 3 4
0 1 4
4 1 0
0 2 1
1 2 0
3 4 1
3 2 4
10 6
0 0 1
0 0 2
2 1 0
2 2 2
1 0 1
2 0 0
0 2 2
2 0 2
0 1 1
0 1 2
10 2
1 4 3
4 2 0
4 0 1
0 0 4
1 5 4
2 1 4
4 4 4
3 1 1
4 5 0
2 1 0
10 9
1 2 3
1 3 1
0 0 0
1 3 3
1 2 1
1 1 2
2 0 3
3 3 0
0 2 3
1 0 3
10 8
0 2 0
1 2 0
0 1 0
0 0 2
1 0 0
2 2 1
0 0 1
0 1 1
0 0 0
2 1 2
10 2
0 0 3
0 2 0
0 1 2
1 3 0
2 2 1
2 1 1
3 2 1
1 2 2
2 0 2
2 0 0
10 6
0 2 0
1 3 3
0 4 4
4 4 2
2 2 0
4 3 2
4 4 0
3 0 1
1 0 3
4 3 3
10 4
3 5 0
4 1 2
0 3 5
3 5 3
4 1 0
3 1 3
0 0 1
0 1 0
4 0 1
1 5 0
10 4
2 2 1
1 0 4
3 2 2
0 1 1
0 0 1
3 1 1
4 1 4
1 3 0
3 1 3
3 4 0
10 3
3 0 5
4 5 4
4 0 5
1 4 2
5 0 0
3 3 0
3 0 3
4 5 5
4 4 2
0 5 0
10 3
3 3 1
2 2 2
2 2 4
0 3 4
4 1 0
0 4 3
4 1 1
2 0 1
2 3 4
3 1 4
10 2
2 1 3
2 0 1
2 3 1
0 1 0
3 0 3
0 0 3
0 3 2
3 3 1
3 2 2
1 1 1
10 5
5 1 1
5 0 4
3 0 4
4 4 0
2 4 3
3 4 1
3 1 4
5 0 2
4 1 0
0 2 4
10 6
0 2 1
2 3 2
3 2 2
0 3 3
0 2 2
2 0 2
1 0 1
1 0 3
0 0 3
2 3 0
10 5
1 1 2
2 0 1
1 1 1
0 2 1
2 2 1
0 1 0
2 0 2
0 0 0
0 1 2
0 0 2
10 4
1 2 2
1 2 0
0 0 1
0 0 0
0 2 0
2 0 0
0 2 1
0 0 2
0 1 1
1 1 1
10 5
5 0 3
1 0 0
4 3 2
2 4 3
2 1 2
1 2 0
5 4 1
5 2 4
3 2 2
3 0 4
10 3
3 0 3
2 0 3
1 0 0
3 2 0
0 1 3
3 2 1
0 2 0
0 1 2
0 0 0
1 2 2
10 9
1 2 2
2 0 1
0 2 1
0 0 2
1 1 0
1 2 0
1 0 2
1 0 0
0 2 2
1 0 1
10 5
0 1 3
3 3 0
0 2 2
1 1 0
3 2 1
0 0 3
2 0 1
3 3 3
2 0 0
2 2 0
10 5
2 2 5
4 3 3
2 1 0
1 3 1
2 2 2
2 4 5
5 3 5
0 2 0
0 0 1
4 3 5
10 6
3 3 3
0 0 3
0 0 0
3 1 0
4 2 2
1 0 3
0 2 1
1 4 3
2 1 0
1 3 0
10 2
0 4 2
2 2 3
4 4 2
2 4 1
0 3 0
2 0 4
4 4 3
2 4 4
4 4 4
4 1 4
10 3
4 4 3
3 4 4
1 3 3
5 5 5
0 2 4
1 3 4
2 2 1
2 1 5
4 3 1
4 3 4
10 4
3 2 0
3 3 3
4 3 0
2 3 2
1 3 2
3 1 2
2 1 0
0 4 0
1 0 1
1 3 0
10 3
2 3 2
0 0 1
2 3 1
0 2 1
3 0 2
2 1 3
1 3 1
1 0 2
3 3 2
3 0 1
10 6
0 2 1
0 0 2
0 1 0
1 1 1
1 1 0
1 0 2
2 2 1
2 1 2
1 0 0
2 0 2
10 9
1 5 5
5 0 2
4 0 4
5 5 2
2 3 3
1 5 3
3 0 2
2 5 3
2 4 3
5 3 2
10 6
0 1 0
1 1 0
4 2 1
3 2 0
2 0 4
1 2 4
0 3 0
0 3 1
0 0 1
1 4 3
10 9
1 2 0
1 3 2
2 3 1
0 0 3
3 0 0
1 1 0
1 3 3
0 2 2
1 1 2
2 2 1
10 2
2 0 2
2 3 0
4 4 3
0 2 1
4 0 3
0 2 0
1 4 2
2 2 1
1 3 3
3 0 2
10 9
0 2 2
1 2 2
1 1 1
1 1 0
0 2 0
0 2 1
1 0 1
2 2 1
1 2 1
2 2 2
10 6
2 0 2
0 0 2
1 1 0
0 1 0
2 0 1
1 1 1
1 2 1
2 2 2
1 0 2
2 1 0
10 2
2 1 3
2 2 2
1 0 2
1 0 3
0 2 2
2 3 2
2 2 1
1 2 3
0 3 3
2 3 0
10 4
2 2 2
2 1 2
3 1 3
1 3 2
2 0 2
0 0 1
3 2 0
1 2 1
1 1 0
0 3 2
10 7
2 0 2
3 1 2
1 3 3
2 2 1
3 2 0
0 3 0
0 0 3
1 0 2
2 0 0
1 1 3
10 6
1 0 0
3 3 1
3 2 0
1 2 2
2 0 3
0 2 3
3 0 1
2 0 1
0 3 3
2 3 1
10 6
3 5 0
0 4 5
1 4 5
5 4 0
0 5 0
5 0 1
3 0 5
4 1 2
5 0 5
1 3 0
10 2
0 2 0
1 0 1
1 2 0
2 2 1
2 1 0
0 2 2
2 1 2
1 1 2
1 1 1
0 0 0
10 5
3 0 0
4 1 4
1 4 2
4 3 3
4 1 2
4 2 0
2 2 1
4 0 4
3 3 0
3 3 2
10 8
0 4 1
2 4 0
3 2 1
4 4 3
3 0 1
2 2 2
4 1 1
0 1 2
2 0 4
3 1 4
10 9
2 2 0
0 1 2
1 2 2
1 1 0
1 1 1
1 2 1
0 2 1
2 0 0
2 1 1
2 2 2
10 6
1 3 0
3 3 1
3 0 1
0 3 3
1 1 2
3 1 2
3 1 3
1 1 1
3 3 3
1 0 1
10 9
0 0 0
1 1 1
1 2 1
2 0 0
1 0 1
1 0 0
1 1 2
0 2 1
2 0 2
2 0 1
10 6
1 1 1
2 0 0
0 2 2
1 2 2
1 0 2
0 0 2
0 2 0
2 0 2
2 0 1
2 1 2
10 5
2 3 0
4 4 2
3 5 0
3 0 1
4 1 4
5 0 0
2 2 4
3 3 2
3 2 0
3 0 3
10 6
2 4 1
0 1 0
0 5 0
4 2 3
3 5 2
4 4 4
4 1 5
4 4 2
1 5 2
1 4 3
10 8
2 3 2
2 2 3
2 1 1
1 3 2
3 0 3
2 1 2
2 3 3
2 2 1
3 3 2
1 0 2
10 9
3 1 2
3 0 2
1 1 3
2 0 2
3 2 0
2 0 3
3 2 1
0 1 2
1 1 1
0 2 3
10 4
4 5 5
4 0 3
5 4 1
1 0 2
5 4 3
0 5 5
0 0 0
2 4 3
4 1 2
2 5 3
10 5
0 3 4
4 5 2
5 2 0
4 0 0
3 4 0
5 1 4
0 4 5
1 2 2
2 0 4
2 1 2
10 4
3 4 0
1 0 0
0 0 4
3 1 2
4 3 3
1 0 1
0 1 2
0 1 1
4 1 1
0 2 0
10 2
3 1 0
0 2 2
3 1 4
4 3 2
2 4 2
1 4 0
0 4 3
4 1 1
3 4 4
3 0 1
10 8
2 4 2
4 2 0
4 1 4
2 0 0
3 0 4
5 3 4
0 2 0
2 0 5
2 2 1
5 1 5
10 9
3 4 3
4 4 4
4 4 1
0 0 2
0 4 2
1 4 0
4 2 3
3 0 4
0 4 4
2 3 1
10 8
2 3 3
0 4 3
1 3 0
0 0 3
5 0 3
0 3 1
4 1 1
1 2 3
0 1 5
3 3 4
10 8
4 0 2
2 3 2
0 4 3
4 4 2
3 1 0
0 1 4
2 4 0
1 0 4
3 0 4
1 4 4
10 8
3 4 2
2 2 4
4 4 0
3 0 1
2 3 3
4 3 3
3 2 2
3 1 0
2 2 3
1 2 3
10 9
2 2 2
1 1 0
1 0 2
2 2 0
0 1 0
2 0 2
1 1 2
0 2 2
1 2 2
1 0 1
10 4
0 0 3
4 1 4
2 0 1
3 2 3
2 2 2
0 3 0
3 0 4
4 4 1
1 3 2
3 1 3
10 7
2 3 2
3 2 0
0 2 3
2 1 3
2 1 0
2 1 2
1 3 0
2 2 3
3 2 2
2 0 3
10 7
3 1 1
2 5 5
3 2 0
3 5 4
4 0 3
5 3 3
1 2 3
0 3 3
1 0 2
1 3 2
10 4
1 4 4
5 5 2
5 0 5
1 0 1
3 1 2
1 3 1
0 3 0
2 4 5
1 0 5
3 5 1
10 7
0 5 4
2 4 2
3 2 1
5 0 5
0 2 0
2 1 2
0 4 1
0 0 3
1 4 3
1 2 1
10 2
2 1 0
1 0 3
3 0 1
3 0 0
3 1 1
1 2 1
1 1 1
0 3 0
1 3 0
3 1 3
10 4
2 3 0
1 1 0
3 2 0
1 2 2
0 1 2
3 0 1
1 3 0
3 0 0
3 1 1
1 2 0
10 6
4 4 4
2 1 4
0 0 3
2 4 4
4 4 1
3 2 3
0 2 2
4 3 3
1 0 2
0 3 0
10 6
4 3 0
0 5 5
5 0 5
3 3 2
5 3 0
5 5 5
2 0 2
3 2 3
2 5 5
5 4 0
10 4
3 0 3
0 0 2
1 3 2
0 0 3
3 3 2
0 3 1
1 3 3
3 2 1
1 0 0
2 0 2
10 9
3 5 0
2 4 5
1 2 0
3 1 5
5 5 2
2 3 0
4 5 0
3 2 5
4 5 3
0 0 2
10 4
0 0 0
2 2 3
1 2 0
1 2 1
0 1 2
0 2 2
2 1 2
3 3 0
1 3 3
0 1 1
10 7
1 0 0
2 2 0
1 2 2
2 2 1
1 2 1
0 2 0
2 1 0
0 0 1
1 1 1
0 2 2
10 4
2 1 0
1 0 2
3 1 3
3 3 2
2 0 1
1 3 3
2 2 0
3 0 0
1 1 3
1 0 3
10 5
0 1 2
2 0 1
2 2 0
2 2 2
1 1 0
0 0 0
0 2 0
2 1 2
1 0 2
1 0 1
10 8
5 2 1
3 2 4
1 0 2
4 0 4
2 5 4
4 4 3
0 3 5
1 1 5
4 3 5
3 3 5
10 4
4 1 3
0 1 4
4 4 3
0 4 3
3 3 3
2 4 2
2 0 1
4 1 0
3 1 3
3 4 3
10 3
2 0 0
3 3 2
1 3 1
3 2 2
0 3 1
3 2 0
1 0 2
3 3 1
2 1 2
3 0 1
10 2
3 2 1
1 2 2
0 0 5
4 0 3
1 5 2
1 0 4
3 0 0
5 1 0
5 4 3
1 5 5
10 3
0 2 3
3 3 1
0 2 2
2 0 0
0 3 3
3 1 2
3 2 1
0 1 1
0 0 1
3 1 0
10 6
1 0 4
0 1 2
4 4 0
2 4 4
0 3 3
3 2 3
3 3 4
2 3 4
3 1 0
2 0 0
10 6
0 1 2
0 3 1
2 0 2
1 1 2
1 1 0
0 0 0
1 2 0
2 3 0
3 0 0
2 1 3
10 4
4 3 0
0 0 3
2 3 2
0 4 2
0 1 4
4 4 3
1 3 3
1 2 0
3 4 4
2 1 0
10 5
1 2 4
3 1 4
3 0 0
2 2 2
4 2 3
0 1 3
1 1 3
2 0 2
1 1 2
3 2 3
10 2
0 0 0
0 1 2
1 2 0
0 0 2
1 1 2
2 0 1
2 1 2
1 1 1
1 2 2
1 2 1
10 7
2 3 1
3 1 0
1 0 0
0 2 2
0 1 0
3 3 1
0 2 1
3 2 3
2 0 1
2 0 0
10 4
2 1 3
0 4 1
0 1 2
1 3 3
0 3 4
0 0 1
4 2 3
0 4 4
0 0 3
1 4 4
10 3
3 5 4
5 1 2
0 5 5
2 5 2
1 0 2
1 1 0
4 3 0
4 4 0
1 5 2
4 5 4
10 6
2 1 2
1 1 1
1 0 1
1 0 0
0 2 2
2 0 2
1 2 1
2 2 2
2 1 0
2 0 0
10 7
0 0 0
2 2 2
0 2 2
1 0 1
1 2 2
0 0 2
1 0 2
2 0 0
0 1 1
1 1 2
10 2
3 0 3
0 0 2
1 0 2
1 1 3
0 1 2
1 3 1
0 2 3
0 2 0
2 1 1
3 1 2
10 3
0 2 1
1 1 1
1 2 0
1 0 1
2 1 1
1 1 2
2 1 2
2 2 0
0 2 2
2 1 0
10 6
1 1 0
1 0 2
2 1 0
2 1 1
0 0 2
0 1 0
1 1 2
1 1 1
0 2 1
2 2 2
10 2
1 2 0
0 1 3
0 1 0
2 3 0
3 0 0
2 3 3
2 1 0
3 0 1
1 3 0
3 3 0
10 7
2 2 3
3 0 1
2 3 2
3 2 0
2 3 0
3 0 0
0 1 0
1 1 1
2 0 1
0 3 2
10 7
4 1 0
2 0 4
2 1 2
3 1 2
0 3 3
3 2 3
2 3 3
2 1 0
2 3 1
2 4 0
10 8
1 0 0
1 1 0
0 2 0
2 0 1
2 2 1
1 0 2
2 2 2
2 1 1
0 1 1
0 1 0
10 3
2 2 2
3 3 1
0 3 1
0 1 3
3 0 2
0 1 2
1 1 1
3 3 2
2 0 3
0 0 2
10 4
0 1 3
0 3 4
1 4 0
1 2 1
3 1 1
3 1 0
3 1 3
3 2 0
2 1 2
0 4 1
10 3
0 0 2
3 4 2
0 4 1
3 1 4
4 4 2
2 2 3
4 0 0
4 0 2
2 2 4
0 3 2
10 8
0 2 0
2 5 2
4 4 2
3 5 4
0 3 0
3 4 2
1 5 1
1 3 2
1 4 3
0 0 3
10 8
0 3 1
4 1 0
4 2 4
0 2 0
0 0 2
3 5 5
4 4 4
4 5 5
5 2 0
0 0 0
10 8
1 2 1
1 1 0
2 2 4
3 2 0
0 2 2
1 3 5
5 0 5
5 2 5
5 1 1
3 5 1
10 6
2 1 3
1 4 0
2 2 4
2 0 0
3 1 0
2 0 3
4 2 3
3 0 2
2 1 4
1 3 2
10 7
5 5 1
5 4 2
5 1 2
0 4 1
3 4 0
3 0 4
5 2 1
2 5 1
0 1 1
2 0 4
10 6
1 1 0
2 0 0
0 0 2
2 1 2
2 2 0
1 0 1
0 1 0
1 0 0
2 2 1
2 0 1
10 8
2 2 2
0 1 1
1 1 1
1 1 0
0 0 0
2 0 0
0 0 1
0 2 2
0 1 2
1 0 2
10 5
4 0 5
2 3 1
0 1 2
2 2 3
3 3 1
5 1 4
3 5 3
5 4 5
4 3 4
2 4 0
10 4
1 1 1
1 2 2
1 2 0
2 0 1
0 2 1
2 0 0
0 1 0
0 0 0
2 1 0
2 2 1
10 8
0 3 4
1 3 3
4 0 4
4 3 1
2 1 0
0 3 0
3 3 0
2 0 3
3 4 3
3 1 0
10 4
1 3 2
0 3 0
2 0 2
3 0 0
3 0 2
0 1 3
3 2 3
2 3 0
3 2 2
3 1 3
10 9
0 1 4
1 2 4
3 2 4
1 1 3
0 5 5
3 5 5
3 1 2
4 3 1
0 5 2
0 4 1
10 4
3 1 4
3 4 4
3 3 1
0 4 1
2 0 4
2 4 2
4 3 0
2 0 3
4 1 2
2 3 2
10 3
1 4 4
0 5 2
1 4 3
5 2 3
3 3 4
1 4 5
2 1 3
0 4 4
2 4 1
1 0 2
10 5
0 0 2
0 1 1
0 2 0
0 2 2
2 0 2
2 2 2
0 1 2
0 2 1
2 2 1
1 2 1
10 5
2 2 0
5 4 1
4 5 2
2 5 1
4 0 2
0 1 1
4 3 2
4 0 5
2 1 4
1 3 2
10 2
2 0 0
2 2 2
0 0 0
0 0 1
0 2 2
1 2 1
1 2 0
1 0 0
2 0 2
0 1 0
10 2
0 1 3
0 3 2
4 1 2
1 4 4
3 0 0
4 3 4
3 1 3
3 2 4
1 4 2
2 1 1
10 9
0 0 2
4 2 3
2 2 0
2 0 4
1 0 2
4 4 1
3 3 2
0 0 1
1 1 1
4 4 2
10 6
5 1 4
1 4 4
5 4 1
2 2 1
0 3 3
1 5 1
1 0 2
5 2 0
3 2 1
2 1 0
10 3
4 3 1
1 4 4
4 4 0
4 2 3
3 1 2
2 0 0
1 4 0
4 4 2
1 1 2
5 5 4
10 5
1 0 0
1 0 1
0 2 0
0 2 1
2 1 2
1 1 2
0 1 1
1 0 2
2 0 0
2 0 2
10 3
0 3 0
0 2 1
2 0 0
3 0 3
3 3 2
0 0 3
0 1 3
3 2 0
0 3 3
0 3 2
10 8
1 2 2
2 2 1
0 0 2
0 1 1
0 2 0
0 0 1
2 1 2
0 1 2
2 2 0
0 2 1
10 6
1 1 1
2 1 0
1 0 2
1 2 1
2 0 1
2 0 0
0 1 0
2 1 2
1 1 2
0 0 1
10 4
5 4 3
3 4 3
2 4 2
4 1 4
4 5 4
0 1 5
1 3 0
4 3 1
5 0 4
4 3 3
10 5
0 2 3
3 0 2
0 0 1
0 2 1
0 3 2
1 1 2
2 2 1
3 2 2
3 0 0
1 3 1
10 3
1 0 1
0 0 0
2 2 2
2 0 0
0 2 1
0 2 0
0 1 2
1 2 0
0 1 0
2 1 2
10 9
3 0 2
1 4 0
2 3 0
3 0 4
1 0 3
0 4 1
3 0 0
3 2 0
2 1 1
3 1 1
10 5
2 0 0
0 1 1
1 2 0
1 1 2
0 2 2
0 2 1
1 0 1
2 0 1
0 1 2
2 2 2
10 9
2 0 2
0 3 0
3 1 2
2 3 2
1 3 3
3 3 1
2 0 1
0 3 1
0 2 1
2 1 2
10 7
1 0 2
1 1 1
0 2 2
0 1 0
1 0 0
1 2 0
0 1 1
0 2 0
0 1 2
0 0 1
10 8
2 1 2
1 0 3
0 2 0
0 0 2
2 2 2
1 1 3
1 0 2
1 3 3
3 3 1
2 1 0
10 7
2 1 3
0 0 0
1 2 3
1 1 3
3 2 2
2 3 2
0 0 3
4 0 2
2 2 0
2 3 0
10 7
4 0 5
5 0 3
3 3 5
5 1 0
0 0 2
3 4 0
2 4 4
3 4 4
0 2 5
2 1 4
10 2
2 2 3
0 0 2
1 2 1
0 1 0
1 0 0
3 0 3
0 1 2
2 2 2
3 0 0
1 0 2
10 3
2 4 1
1 0 0
4 1 4
1 3 3
0 1 4
1 3 4
4 0 4
3 1 0
4 2 4
4 1 2
10 8
4 1 1
2 1 5
5 4 4
3 4 4
3 1 4
0 3 2
3 5 1
5 1 1
0 4 0
4 5 2
10 4
4 1 0
1 4 1
2 4 2
3 3 4
3 0 2
1 1 3
4 4 4
0 3 2
4 2 1
2 4 1
10 4
3 3 1
0 2 0
3 3 0
2 3 2
3 1 2
1 0 0
0 0 0
2 3 1
1 2 0
2 1 3
10 5
2 1 1
2 2 1
1 1 1
0 1 2
0 2 0
2 0 1
0 0 0
0 1 0
2 1 2
0 0 2
10 4
1 1 1
1 2 0
2 0 0
0 1 1
2 2 0
0 0 2
1 2 1
0 2 1
2 2 1
0 0 1
10 7
2 0 4
2 3 2
1 5 1
5 5 4
4 3 1
0 0 4
5 1 4
2 4 3
2 5 3
0 2 0
10 2
3 0 2
1 3 2
2 3 1
0 2 1
1 2 0
3 3 1
2 0 3
2 1 2
0 0 2
1 1 2
10 3
3 0 1
1 2 0
3 2 2
0 1 2
3 1 2
2 3 1
2 0 1
1 3 0
3 3 2
1 1 1
10 8
4 2 2
3 3 3
1 2 2
2 4 3
3 1 2
1 0 0
3 2 2
2 0 0
3 4 4
2 3 1
10 6
2 0 2
1 0 1
0 2 0
1 1 2
0 1 1
2 0 0
1 1 1
2 0 1
1 2 2
1 0 0
10 9
0 2 1
0 1 2
0 1 1
0 2 0
1 0 2
2 0 1
0 2 2
1 2 1
1 1 0
1 1 1
10 9
0 4 4
0 0 3
1 0 2
1 0 1
4 0 0
3 3 0
2 3 2
2 0 0
3 2 2
4 0 4
10 8
5 1 2
0 4 5
5 2 3
5 0 1
4 5 5
1 5 0
3 2 2
1 1 5
0 0 1
0 2 1
10 8
3 0 4
4 3 0
2 2 3
4 2 5
3 1 4
1 4 4
4 1 0
3 0 2
1 1 1
1 5 5
10 9
3 2 0
1 1 0
0 2 0
1 0 0
1 3 0
3 0 3
0 1 1
1 3 3
2 2 2
1 1 1
10 3
5 3 2
3 0 5
2 2 1
5 5 5
4 0 0
0 3 2
1 0 5
4 1 2
5 0 1
3 3 0
10 4
1 1 1
0 0 4
2 0 4
3 1 0
4 4 3
0 1 0
4 1 4
1 4 1
0 2 4
0 4 1
10 3
3 3 2
0 3 0
4 2 4
2 4 2
2 2 4
4 1 1
4 2 0
3 3 1
1 2 0
4 4 3
10 8
0 1 3
1 0 0
2 2 3
1 0 2
0 1 2
1 2 2
2 2 0
1 1 0
2 0 1
3 0 3
10 2
4 1 2
3 2 1
1 1 5
1 5 4
0 1 2
2 2 3
2 5 5
5 3 0
4 4 0
3 4 0
10 6
1 1 2
2 1 1
2 0 0
0 2 0
0 1 2
2 2 0
1 2 0
1 1 0
0 1 0
1 0 1
10 6
1 1 0
3 2 3
0 4 1
1 3 4
2 1 3
4 0 2
1 3 2
0 1 4
4 1 0
2 2 1
10 2
0 2 1
0 5 4
2 0 1
3 3 3
1 4 5
4 5 0
0 1 3
0 5 1
0 1 2
2 3 5
10 4
3 3 0
4 2 3
0 1 1
1 3 0
3 4 1
1 1 2
2 4 4
2 3 4
2 2 3
2 4 3
10 9
3 3 0
3 0 0
2 1 0
2 1 2
0 0 2
0 0 1
3 2 2
1 2 2
1 1 1
0 1 1
10 8
0 4 3
2 0 2
1 3 5
2 5 5
4 3 1
2 1 1
0 5 4
1 4 4
1 3 4
2 1 2
10 3
2 2 1
1 2 2
1 2 1
3 0 0
2 0 1
1 0 1
0 3 3
3 3 0
1 3 3
3 1 1
10 2
1 1 3
3 2 2
1 0 1
2 2 1
3 1 2
3 3 2
2 1 2
3 0 3
0 1 0
2 0 0
10 8
0 3 3
5 4 1
2 0 0
3 4 3
1 3 5
1 1 0
1 5 0
5 5 0
1 1 3
5 2 2
10 2
2 0 1
2 1 2
2 1 3
3 3 0
3 0 2
1 0 3
1 2 0
0 1 0
3 2 2
1 2 1
10 7
0 3 0
2 0 1
0 1 3
3 3 1
1 0 0
2 3 3
2 3 2
2 1 3
2 0 0
3 0 2
10 9
1 0 3
1 4 0
2 3 0
3 2 3
0 1 4
1 0 0
3 3 0
3 1 3
0 0 3
2 1 4
10 9
0 1 2
2 2 2
0 1 1
0 0 2
2 1 0
0 2 1
2 2 1
1 0 1
0 2 2
2 0 2
10 2
1 0 2
2 2 2
2 2 1
2 1 2
2 2 0
1 1 0
1 2 2
0 2 0
2 0 0
1 1 1
10 3
2 1 0
1 1 0
0 1 1
2 0 2
0 2 2
1 1 1
0 2 1
0 0 0
1 2 0
0 0 1
10 5
3 2 0
2 2 1
2 1 2
1 0 0
0 0 3
3 3 0
2 0 3
0 3 1
0 3 3
3 1 0
10 7
2 1 3
2 1 1
2 3 3
0 0 1
1 0 0
1 1 1
1 2 0
1 2 2
1 3 2
3 3 0
10 9
3 0 2
0 0 3
1 1 1
0 2 2
0 3 1
0 0 1
2 3 3
1 3 3
1 2 1
2 3 1
10 9
1 3 1
4 0 0
2 3 4
1 4 0
0 1 4
3 1 0
3 4 4
3 2 3
0 0 0
0 2 2
10 9
3 0 0
3 4 1
4 1 4
5 4 0
1 3 3
1 3 5
3 0 4
3 1 5
1 2 1
0 5 4
10 5
1 1 0
0 2 1
2 2 0
2 2 2
0 0 0
0 2 2
0 1 0
1 0 1
0 2 0
1 0 0
10 8
1 2 1
2 0 2
0 0 0
1 2 0
1 1 1
0 0 1
0 1 0
0 2 2
1 0 1
0 2 0
10 9
2 3 3
3 4 1
1 0 0
1 3 2
1 2 3
1 2 2
2 0 2
3 1 4
3 0 4
2 4 1
10 2
2 0 0
2 2 0
1 0 0
2 1 0
0 0 1
2 1 1
1 2 2
1 1 2
1 1 1
1 0 1
10 3
0 2 0
2 1 2
0 0 2
2 2 2
1 2 1
1 2 0
2 2 0
1 1 0
1 0 1
1 2 2
10 8
1 4 2
0 4 3
3 3 5
4 3 0
0 2 2
1 1 2
4 0 0
1 5 1
4 3 2
5 0 2
10 8
2 0 0
1 2 1
1 1 1
1 2 0
0 1 1
1 1 2
0 0 1
2 2 0
1 2 2
0 2 0
10 4
0 2 1
2 0 2
1 0 0
0 0 1
1 0 2
1 1 1
0 1 1
1 2 0
1 0 1
0 0 2
10 2
1 2 0
2 4 1
4 4 4
3 3 4
2 0 4
0 0 4
2 2 1
3 1 4
1 1 0
4 2 0
10 3
1 2 1
2 0 0
2 1 2
0 2 0
1 0 2
2 1 1
0 1 1
2 1 0
0 1 0
1 0 0
10 7
2 2 2
0 2 2
2 0 2
0 1 1
1 1 0
2 1 1
0 2 1
1 1 2
2 2 0
0 0 0
10 7
1 3 0
1 2 1
0 0 3
3 2 3
0 2 2
3 0 2
2 1 0
2 2 2
2 0 0
3 3 2
10 4
3 3 2
1 0 0
4 1 4
2 2 1
1 4 4
4 4 3
4 4 4
3 1 3
1 2 5
4 1 5
10 4
4 0 0
1 3 4
1 2 4
2 2 4
3 0 3
2 1 1
2 3 2
4 2 1
3 2 3
3 3 2
10 9
0 0 4
3 1 2
4 1 3
0 3 3
3 4 4
3 3 3
5 4 0
4 0 1
1 4 1
5 1 4
10 5
0 0 2
1 0 2
0 0 0
0 1 2
1 1 1
2 2 1
1 0 1
1 1 0
0 2 0
0 0 1
10 6
2 2 4
1 1 4
1 3 1
2 3 3
2 3 2
3 1 2
1 0 2
3 0 4
0 3 3
0 1 4
10 9
3 0 2
2 1 0
2 1 3
0 1 0
0 1 4
3 3 2
1 0 1
4 4 4
1 3 2
0 3 1
10 3
3 0 4
1 4 5
2 3 2
3 5 4
1 3 3
5 2 0
3 0 0
0 3 2
3 5 3
3 2 4
10 5
2 2 1
2 1 1
1 0 1
2 0 2
0 1 2
1 1 2
2 1 2
1 0 2
2 0 1
0 1 1
10 2
3 1 0
2 2 3
0 3 1
0 1 2
0 2 3
3 0 2
2 3 0
3 3 0
2 2 2
1 3 2
10 7
3 0 2
4 0 0
4 2 2
1 0 4
4 1 2
1 4 1
4 5 1
3 4 4
0 4 0
1 1 0
10 9
3 0 3
2 3 1
3 2 2
0 1 2
0 3 3
1 2 0
0 3 2
3 2 1
2 2 2
2 3 3
10 2
1 0 1
2 1 0
2 2 1
0 2 1
2 0 0
1 2 2
2 0 2
1 0 2
2 2 2
2 0 1
10 9
3 2 2
0 1 2
3 5 4
0 5 3
3 2 3
1 1 4
0 4 1
0 4 3
2 2 2
2 4 4
10 7
1 0 2
2 1 4
4 2 4
0 3 3
1 3 3
4 3 1
0 4 2
2 0 0
2 0 4
0 4 1
10 3
1 2 2
4 2 5
3 0 4
0 1 4
2 1 5
0 2 0
0 0 3
4 3 0
4 4 1
1 4 3
10 8
0 1 1
2 2 0
0 1 3
1 0 2
1 3 1
2 3 2
3 3 1
0 2 3
0 3 0
3 3 0
10 7
1 1 2
0 1 0
2 1 3
2 1 0
1 0 3
0 0 0
3 0 0
0 0 3
0 1 3
1 1 3
10 4
0 3 3
3 1 1
0 2 2
2 2 0
1 2 2
3 1 3
1 2 1
0 0 0
2 3 0
0 0 3
10 3
0 1 1
0 0 2
0 3 2
1 0 0
3 2 3
1 3 2
2 2 1
2 2 0
3 2 1
2 3 2
10 8
4 3 2
1 1 1
1 2 2
2 2 1
2 3 1
0 3 4
0 0 2
1 4 4
3 0 0
3 3 2
10 2
0 0 0
0 2 1
0 2 3
1 1 3
0 3 2
3 1 0
1 3 3
3 3 0
0 0 3
1 0 3
10 9
0 2 2
0 2 0
3 3 4
0 5 3
5 3 3
5 3 5
3 2 0
4 5 1
3 4 3
2 4 4
10 5
1 0 0
0 0 2
2 2 2
1 1 2
1 1 0
0 1 0
0 0 1
1 2 1
1 2 2
2 0 2
10 2
1 1 0
0 0 3
4 1 3
2 2 3
1 5 4
0 5 4
1 5 2
0 1 1
0 2 5
2 3 3
10 2
4 2 1
0 4 4
3 4 0
1 4 1
3 0 4
3 2 4
4 3 3
4 0 3
3 4 4
2 1 1
10 4
4 2 0
1 2 1
5 4 2
5 2 3
5 2 5
4 4 1
1 5 1
5 3 5
3 2 2
3 1 3
10 3
1 1 4
4 1 4
4 4 5
2 2 0
1 1 2
0 1 5
2 2 2
3 4 0
2 5 4
1 0 4
10 7
0 0 2
1 1 0
0 0 1
1 1 2
2 2 2
1 0 2
0 3 0
0 3 1
0 2 3
0 1 1
10 9
1 3 0
4 4 4
3 0 0
1 0 0
3 2 2
4 2 4
3 2 1
4 4 0
0 0 1
0 0 3
10 8
0 0 1
2 2 2
2 2 1
0 2 2
0 2 0
2 0 0
1 0 2
0 1 1
0 0 2
0 1 0
10 5
0 0 1
2 1 0
2 2 1
0 2 1
0 0 0
1 0 1
1 2 1
1 0 0
0 2 0
1 1 0
10 6
2 2 3
1 3 0
1 1 3
1 2 0
2 3 2
2 2 2
3 0 1
1 0 3
2 0 0
0 0 0
10 7
0 5 4
5 0 0
2 2 4
2 3 4
4 1 5
2 1 4
1 3 0
4 3 5
0 1 3
2 0 2
10 9
4 3 5
1 4 4
5 3 4
0 1 4
1 3 0
5 1 3
0 2 4
5 2 5
5 4 5
3 5 2
10 3
3 2 2
1 3 3
1 1 3
4 0 3
4 2 2
2 4 1
3 1 0
0 2 2
4 1 4
2 1 3
10 6
2 0 1
1 0 3
3 1 2
0 1 0
2 0 3
0 3 1
1 3 2
1 1 1
2 1 3
0 0 1
10 9
4 2 0
0 1 4
0 2 3
0 4 4
4 3 0
4 3 4
3 3 3
0 3 3
4 4 0
0 1 1
10 6
0 5 4
4 4 5
3 5 1
4 5 4
3 3 2
3 4 4
4 1 3
3 1 1
3 0 5
4 0 5
10 7
2 2 0
1 2 2
1 2 0
1 0 1
2 1 2
2 2 2
0 0 0
1 0 0
1 0 2
1 1 0
10 8
0 0 4
5 0 5
2 2 0
0 1 2
2 1 1
1 2 1
2 4 1
5 2 3
3 5 0
3 1 2
10 7
2 0 0
1 1 0
2 0 2
1 0 0
1 2 2
2 1 1
1 2 1
1 1 1
1 1 2
0 0 1
10 4
2 3 4
3 4 2
0 1 3
3 0 5
3 3 5
1 4 3
5 4 5
2 5 3
3 4 3
0 3 4
10 9
2 1 3
0 2 2
1 2 3
3 2 1
3 3 2
2 3 1
0 3 1
2 0 3
1 0 3
0 0 3
10 5
2 2 2
0 1 2
2 0 1
1 1 1
2 0 2
1 2 2
2 1 0
2 1 2
2 0 0
0 0 2
10 8
0 0 4
3 1 0
0 0 3
4 5 2
5 3 1
3 0 1
1 0 1
4 0 4
0 3 3
5 5 0
10 9
3 4 5
2 1 0
1 5 3
5 5 5
2 1 4
4 4 2
2 1 3
1 0 1
0 2 4
3 0 3
10 8
2 1 3
2 0 1
3 1 3
0 3 3
1 1 0
2 3 1
0 1 0
3 2 3
0 3 2
3 2 0
10 5
1 3 2
0 3 0
1 3 1
4 4 3
0 1 3
1 0 1
4 1 2
0 2 0
4 3 0
0 1 1
10 9
1 1 0
2 2 0
1 2 2
1 2 0
1 1 1
0 1 0
2 1 2
0 1 1
2 2 2
0 0 1
10 2
0 2 2
2 2 0
1 1 1
0 1 1
0 1 2
2 2 1
2 1 2
1 1 2
2 0 1
0 0 2
10 9
0 1 0
0 2 3
3 0 1
0 0 3
3 0 3
1 0 2
0 3 3
3 0 2
1 2 0
2 1 3
10 7
2 0 1
2 3 1
2 0 2
0 0 2
1 0 1
2 1 0
2 2 1
1 0 0
1 2 3
1 1 1
10 7
1 0 1
0 0 1
0 1 1
0 2 1
1 0 2
2 2 1
1 1 0
0 0 0
0 1 0
1 2 0
10 7
0 3 1
0 1 3
1 2 0
0 3 2
0 0 3
1 2 1
1 3 4
2 3 0
4 0 4
0 4 2
10 6
1 0 2
2 1 1
0 2 1
1 2 2
0 1 2
2 2 0
0 2 0
1 1 0
2 0 0
1 2 1
10 2
1 2 1
2 1 1
1 1 1
1 2 0
0 2 1
0 1 1
0 0 1
0 1 0
2 2 0
2 0 1
10 8
2 2 0
1 1 3
2 0 3
0 3 0
2 1 3
3 0 0
1 2 0
3 0 2
0 0 0
3 3 1
10 8
1 2 0
0 2 1
2 1 2
0 2 0
0 0 1
0 0 0
1 0 1
1 1 1
1 2 2
2 2 1
10 2
1 3 4
3 1 1
2 4 4
3 0 3
3 1 3
1 2 1
3 0 4
0 4 1
2 3 4
4 0 3
10 7
2 1 1
2 2 0
1 3 3
0 3 0
3 3 2
1 2 1
3 2 3
0 0 2
0 0 0
1 1 1
10 2
0 0 1
0 2 0
2 1 0
2 1 2
1 0 0
2 1 1
1 1 2
0 1 1
1 1 1
1 0 1
10 7
0 3 0
0 0 1
3 1 3
0 3 2
0 0 2
3 3 3
2 0 0
0 1 0
0 1 2
1 2 3
10 4
0 1 2
2 1 2
0 1 0
1 2 1
0 0 2
2 0 2
1 0 2
1 0 1
0 1 1
0 0 0
10 5
0 0 0
4 2 2
2 2 0
0 2 4
4 2 1
3 3 4
1 3 1
0 4 2
1 0 4
2 4 2
10 6
5 1 0
4 3 1
2 2 2
3 2 2
4 1 1
1 3 5
5 3 4
0 2 3
2 4 5
4 4 5
10 2
2 0 2
1 2 0
1 1 0
1 0 1
1 0 0
2 2 2
2 2 1
1 1 2
1 1 1
0 0 0
10 7
0 2 1
0 1 1
1 2 0
2 0 0
1 2 2
0 2 2
2 1 2
0 0 2
1 0 0
1 1 0
10 7
1 4 3
3 1 1
4 0 0
4 1 4
2 3 3
1 3 4
3 2 1
2 2 2
2 0 2
4 2 4
10 8
3 3 1
2 2 3
4 2 2
4 0 0
1 2 3
3 3 0
0 4 0
1 3 3
3 0 3
2 1 0
10 5
2 2 0
1 0 2
2 1 2
2 1 1
0 0 1
0 2 0
1 2 1
0 1 1
2 0 1
0 1 0
10 9
2 1 0
1 3 2
2 2 3
1 2 3
1 1 2
1 3 0
0 3 3
0 1 1
2 3 1
1 2 0
10 6
0 5 4
4 1 5
0 5 2
5 3 4
2 2 4
3 4 2
3 2 5
0 5 1
1 0 4
0 2 0
10 5
1 1 1
1 0 1
1 2 0
0 0 2
1 0 0
1 1 2
0 0 1
2 1 0
0 0 0
2 1 2
10 8
3 0 3
1 0 0
2 1 1
0 3 3
3 2 1
2 1 3
3 0 1
1 2 2
2 0 1
2 0 3
10 8
4 3 5
4 4 3
0 4 2
1 1 3
0 3 4
1 1 0
2 1 2
4 2 1
3 0 3
3 4 2
10 4
4 4 1
0 1 4
2 4 1
0 0 1
3 4 4
2 0 2
2 3 4
4 3 4
0 3 4
4 3 2
10 5
1 0 1
3 3 3
2 0 2
0 0 3
2 3 0
3 1 3
1 0 2
0 0 0
0 1 0
2 1 3
10 4
2 2 3
5 2 1
2 1 5
5 2 2
2 5 1
1 5 3
5 5 1
3 2 0
5 0 1
0 1 2
10 6
1 4 4
2 2 3
0 2 1
1 4 3
0 0 1
1 2 2
4 1 1
2 4 0
1 1 4
4 2 3
10 9
0 3 2
3 4 2
5 5 5
2 5 0
4 0 4
4 4 2
4 5 3
2 1 1
1 2 4
3 4 3
10 4
1 0 1
2 2 1
1 2 0
1 0 2
1 2 1
0 1 2
1 1 2
2 0 0
2 1 1
0 0 0
10 9
1 3 1
5 5 4
4 5 2
5 2 4
0 5 1
4 1 2
0 0 3
5 1 2
4 3 4
2 2 4
10 3
2 3 2
1 0 0
0 0 2
0 2 4
3 4 1
0 3 2
3 0 1
4 4 0
2 3 4
1 3 0
10 5
2 2 1
1 3 1
4 3 3
3 0 2
4 1 0
2 3 2
1 0 3
2 0 4
4 4 1
0 3 1
10 3
2 0 2
0 0 0
0 2 2
0 2 3
3 2 1
2 1 2
0 1 3
1 2 2
3 2 3
1 2 1
10 2
1 2 2
2 2 0
1 0 1
0 1 0
0 2 2
2 0 0
1 1 2
0 1 1
0 2 0
2 0 1
10 2
0 1 1
3 1 2
3 3 2
2 3 2
2 3 0
0 3 2
3 1 0
2 1 2
3 3 0
2 2 1
10 7
0 0 0
2 1 1
2 2 0
2 1 0
0 0 2
2 0 2
1 2 0
0 1 0
0 1 2
0 1 1
10 4
1 1 2
2 0 3
1 2 0
1 0 3
1 2 1
2 3 3
3 2 3
0 0 3
3 0 3
3 0 1
10 5
3 0 0
2 3 0
2 2 0
3 0 2
2 1 1
0 2 3
1 2 0
2 3 3
3 3 1
0 3 1
10 5
2 2 2
2 0 3
3 3 3
3 3 1
2 2 1
0 0 2
3 0 2
0 2 1
1 3 1
0 1 0
10 4
2 1 2
0 1 0
0 1 2
1 1 1
0 0 0
1 2 0
1 2 1
2 1 0
2 0 2
0 1 1
10 3
0 1 0
0 2 0
2 2 1
1 1 1
2 0 0
2 0 2
0 0 0
0 0 2
1 0 2
0 2 1
10 6
2 0 0
0 0 2
2 0 2
2 1 0
0 2 1
1 2 1
2 2 2
0 1 2
2 2 0
0 1 0
10 2
1 2 2
2 3 1
1 0 0
0 1 0
2 1 2
0 2 2
3 3 0
2 3 0
2 2 2
0 2 3
10 8
1 1 3
1 1 2
1 0 2
1 3 0
1 2 2
2 2 3
3 0 1
2 1 2
3 3 0
2 1 0
10 6
4 2 1
1 3 2
4 3 3
0 1 2
4 0 2
3 4 4
1 1 1
2 4 2
0 0 0
0 2 0
10 3
1 1 1
1 2 1
5 0 5
5 4 4
0 1 3
2 0 5
4 4 2
0 0 3
2 4 4
0 1 5
10 6
4 2 3
3 4 4
2 2 0
2 2 4
0 2 1
0 2 3
4 4 4
2 3 2
1 0 1
2 0 3
10 5
2 1 1
4 4 1
0 3 3
3 1 4
1 3 0
3 0 3
4 1 0
3 4 0
4 2 3
2 0 3
10 3
1 0 2
2 1 1
2 1 0
1 2 2
0 0 2
0 1 2
0 1 1
1 0 1
0 1 0
2 0 1
10 7
4 3 1
3 0 2
2 3 3
3 1 2
4 1 4
1 1 0
0 0 1
3 4 0
1 1 1
3 3 3
10 2
2 4 3
4 1 1
3 3 4
3 2 3
0 2 2
0 2 3
1 2 2
1 1 4
3 2 4
1 4 1
10 7
4 1 0
1 1 5
3 4 3
5 4 1
1 3 5
0 0 1
4 0 3
0 5 4
0 5 1
1 2 5
10 5
0 0 0
1 1 1
0 0 1
0 1 1
0 2 0
2 1 2
2 0 0
1 0 1
1 0 0
0 1 0
10 6
0 0 1
1 2 1
0 1 0
1 1 0
0 2 1
2 1 2
1 0 2
2 2 0
2 2 2
0 0 2
10 7
0 0 1
1 2 1
1 0 2
2 0 0
2 2 2
0 0 2
2 2 1
1 2 2
2 0 2
1 1 0
10 2
4 4 1
3 0 2
4 1 2
0 4 3
0 0 3
1 0 5
3 1 2
0 1 2
1 1 1
4 5 4
10 6
3 2 2
2 5 3
5 5 0
5 4 0
1 0 5
2 1 5
4 1 1
1 4 1
2 4 1
2 2 3
10 5
0 1 0
2 3 0
1 1 1
1 0 3
2 2 1
3 0 0
3 1 1
2 3 2
1 1 3
1 2 0
10 4
1 2 5
3 1 0
5 1 4
2 1 0
3 3 1
5 1 2
3 5 0
5 4 4
4 0 3
0 4 3
10 9
1 2 3
3 0 3
3 0 1
1 0 2
0 3 2
3 3 3
2 1 3
1 3 3
0 2 2
0 1 1
10 7
2 1 4
0 2 0
0 3 2
3 2 0
4 1 0
2 4 2
1 3 1
0 4 1
4 2 4
0 3 4
10 3
2 0 0
3 2 1
0 0 3
2 3 2
2 2 1
3 3 1
1 2 3
1 3 2
3 0 3
3 1 2
10 9
1 1 0
4 3 4
2 1 2
4 1 2
1 3 4
4 3 1
0 1 3
4 2 4
4 1 0
2 0 1
10 7
1 0 1
2 3 0
4 0 2
3 0 2
1 1 1
0 1 2
1 3 1
3 4 4
3 2 4
2 4 1
10 3
0 0 0
0 1 1
1 2 2
1 2 1
2 2 0
2 2 1
0 2 2
2 0 1
2 0 2
0 1 2
10 8
2 1 0
0 1 0
0 1 2
2 0 0
2 2 2
1 0 0
1 1 1
0 2 2
2 1 2
2 0 2
10 3
2 0 3
1 0 0
1 3 0
0 0 1
1 1 1
2 1 3
1 3 3
3 0 0
3 1 2
3 2 2
10 2
3 2 0
4 1 2
3 5 3
0 5 2
3 1 5
1 1 4
5 3 1
5 0 5
1 4 3
3 3 1
10 9
1 2 2
1 2 1
2 1 1
1 0 0
0 0 0
1 1 0
2 1 0
1 1 2
1 0 2
0 1 2
10 4
0 2 1
0 2 0
0 2 2
1 2 1
0 1 0
0 0 2
2 1 1
0 1 2
2 1 0
2 2 2
10 4
2 2 2
0 0 0
1 0 2
1 1 2
2 0 1
0 1 0
2 1 2
1 2 1
0 0 1
2 2 1
10 2
2 3 4
1 3 2
3 0 0
0 3 0
3 4 1
3 4 2
1 3 1
2 4 0
4 2 0
0 1 1
10 6
0 5 3
2 5 3
1 5 4
5 2 2
0 4 4
1 0 3
4 5 1
5 2 5
3 0 5
1 0 2
10 3
0 0 1
0 2 0
3 2 1
3 0 0
1 0 1
1 3 0
2 3 3
3 2 3
0 3 3
3 2 0
10 8
4 1 1
0 2 2
4 0 0
4 2 2
0 3 2
3 3 1
0 0 1
0 2 0
1 3 4
2 4 4
10 4
4 0 0
0 2 1
3 2 0
2 4 3
2 3 4
1 0 1
2 2 2
2 2 0
4 3 1
0 4 4
10 5
2 2 3
0 0 2
0 1 2
1 1 3
0 1 0
3 0 2
2 3 3
0 0 0
2 0 0
0 2 0
10 8
5 3 3
1 0 3
1 2 0
2 4 0
1 1 1
3 2 2
3 3 0
5 3 2
2 1 4
1 3 3
10 5
0 0 0
0 1 1
1 0 1
0 1 0
2 2 2
1 1 2
1 2 2
2 0 0
1 2 0
2 0 2
10 4
1 1 4
2 0 0
4 4 3
0 1 1
0 0 3
2 2 2
0 1 2
4 3 0
4 0 0
3 0 0
10 5
4 0 3
2 2 3
1 1 0
1 2 2
0 3 3
0 2 0
1 1 3
0 4 2
4 2 1
3 3 2
10 2
2 0 3
3 3 0
0 2 3
0 1 2
0 2 2
1 1 1
3 0 3
2 2 0
2 0 0
0 3 1
10 8
1 2 2
2 1 0
0 0 0
1 2 0
1 1 1
1 1 0
2 1 2
0 2 1
2 2 1
1 0 1
10 5
2 2 0
3 1 3
1 1 2
2 3 2
2 0 3
2 0 0
3 0 2
0 2 3
1 3 2
3 3 0
10 5
0 2 5
2 4 1
3 5 3
4 4 2
3 0 3
4 0 3
4 2 4
0 5 5
5 5 0
4 5 2
10 4
1 4 0
3 1 2
5 0 2
2 2 1
5 4 1
1 3 3
1 5 2
3 3 4
4 5 0
1 4 2
10 3
3 3 2
2 2 0
0 3 0
3 1 3
0 3 3
0 0 3
0 2 0
2 0 2
2 3 3
0 1 3
10 5
2 1 1
1 1 1
2 2 2
0 2 2
2 0 2
0 1 1
1 0 1
1 2 0
2 2 0
0 0 2
10 5
2 2 1
1 1 1
3 3 3
0 3 3
0 2 3
3 1 0
1 2 3
2 2 2
2 3 1
3 0 0
10 5
0 4 1
3 2 4
2 1 0
3 4 3
3 3 0
2 2 4
1 3 4
0 4 4
3 2 3
4 0 2
10 9
3 3 0
2 2 1
2 1 2
3 2 0
2 3 3
0 1 1
1 0 0
1 1 3
2 0 2
0 0 0
10 8
0 3 1
1 0 3
3 3 3
0 0 3
3 3 2
2 2 0
4 3 0
4 0 0
2 3 1
1 3 4
10 7
3 1 2
1 0 2
0 3 0
2 0 2
3 2 2
1 0 0
0 1 2
3 2 0
1 1 2
3 3 2
10 7
1 4 2
2 0 4
4 1 2
0 1 1
4 3 3
3 4 0
0 2 4
1 2 0
4 4 3
1 3 3
10 4
3 0 4
4 5 5
5 1 1
2 3 3
3 0 1
0 4 5
5 2 1
3 2 4
1 3 3
3 2 2
10 9
3 1 0
1 3 0
1 2 2
3 1 2
2 0 0
0 1 3
3 2 1
1 2 0
3 3 0
0 1 2
10 8
1 4 5
1 5 0
0 2 2
5 5 0
1 1 0
2 2 3
0 2 4
3 5 5
3 2 5
0 2 5
10 9
1 3 2
1 5 2
0 4 1
4 5 1
3 0 5
3 2 5
3 3 5
3 0 3
4 5 0
3 5 1
10 8
4 5 5
3 2 2
3 5 3
2 3 3
2 3 0
2 0 4
5 0 4
2 1 4
1 5 1
0 0 0
10 4
1 4 1
1 1 1
4 3 2
0 0 1
4 0 3
1 2 2
4 3 0
4 4 2
2 0 3
1 3 2
10 9
1 3 2
4 2 1
1 4 2
5 0 5
1 4 1
1 0 5
2 5 3
2 2 1
1 0 3
5 4 5
10 9
0 3 3
1 3 3
0 1 0
2 1 1
2 3 1
3 1 1
1 1 3
3 2 2
1 2 2
0 3 1
10 4
0 0 3
3 0 4
0 2 4
0 1 0
1 2 1
2 2 2
4 4 1
3 0 2
1 1 3
0 4 1
10 9
2 0 2
0 0 0
3 0 1
1 3 0
2 3 0
1 0 1
0 1 0
1 0 2
0 3 2
2 1 3
10 6
2 2 0
0 1 0
1 1 1
2 0 0
0 0 0
2 1 2
2 0 2
0 1 1
2 2 1
0 2 0
10 8
1 2 1
0 0 2
2 0 2
1 1 0
0 1 0
1 0 0
2 0 0
2 2 1
0 1 2
0 0 1
10 5
2 2 2
2 1 0
0 1 0
2 2 3
1 2 1
3 1 3
1 0 2
1 3 3
1 3 0
1 3 2
10 3
2 1 3
1 3 2
1 2 0
1 1 0
3 0 1
0 0 0
1 0 2
2 2 0
2 0 1
0 2 1
10 2
2 3 1
3 2 2
0 0 2
1 1 1
1 3 1
3 0 0
3 2 3
2 3 3
2 1 1
2 3 0
10 4
0 2 0
2 0 0
0 1 0
0 1 1
1 0 0
2 0 2
2 2 0
2 0 1
1 0 2
1 1 2
10 7
0 1 0
0 2 0
2 0 2
0 0 0
1 0 2
0 1 1
1 2 0
0 0 1
1 1 0
1 1 1
10 8
1 2 1
2 2 2
1 2 0
0 0 2
1 2 2
0 1 1
1 1 1
0 0 0
2 2 0
2 0 2
10 9
2 1 1
1 0 2
2 1 2
1 0 1
0 2 2
1 0 0
0 2 0
2 2 1
0 0 1
2 0 0
10 8
3 0 4
0 1 4
0 3 3
4 1 2
3 1 1
4 0 0
0 4 1
1 2 0
0 4 2
2 0 3
10 3
1 2 0
0 2 2
3 2 3
0 2 3
0 2 0
1 1 2
2 1 0
2 2 0
3 0 0
1 2 3
10 6
3 2 0
4 5 1
1 0 5
3 5 4
5 4 5
3 5 0
2 4 1
2 4 2
4 2 0
4 1 2
10 5
3 0 5
1 3 0
1 1 5
1 2 3
5 5 4
0 1 4
3 2 3
0 5 5
2 3 5
5 4 4
10 3
3 1 2
2 2 0
3 0 1
3 2 0
0 3 2
1 3 2
2 1 0
3 0 2
0 3 1
3 3 1
10 3
3 1 0
3 2 1
2 0 3
2 2 2
3 0 3
3 2 2
1 0 2
1 0 3
1 3 3
3 1 2
10 5
0 0 2
0 4 4
5 2 3
4 2 0
5 2 4
4 4 5
2 4 3
3 3 2
0 2 1
0 2 0
10 5
4 0 0
3 2 4
4 4 0
1 4 1
2 3 3
1 4 2
2 3 2
4 1 4
2 4 4
0 2 3
10 2
5 3 5
4 1 3
3 5 2
0 0 0
4 2 1
1 5 1
2 3 3
5 1 2
2 4 4
3 1 5
10 6
0 3 3
4 0 2
0 5 1
3 2 5
1 5 3
1 2 5
2 5 2
2 4 0
4 4 2
2 5 3
10 8
3 0 3
2 0 0
1 0 1
2 1 0
3 1 1
1 1 1
3 1 3
1 2 2
0 2 1
3 3 1
10 2
0 0 2
2 0 0
2 0 2
1 0 0
2 2 0
1 1 0
0 0 1
1 0 2
0 1 2
1 2 0
10 3
0 3 2
2 1 2
0 2 0
3 1 3
3 3 1
0 1 0
3 0 0
0 3 1
2 3 0
1 0 0
10 2
1 0 1
0 0 2
2 2 1
1 0 0
0 1 1
2 1 1
2 2 0
0 2 2
2 2 2
0 1 0
10 6
1 1 0
1 0 1
0 1 2
0 0 0
0 0 1
1 1 1
2 1 2
2 0 0
2 2 0
2 0 2
10 7
3 3 3
1 2 1
1 1 1
3 2 1
0 0 3
0 1 2
2 3 3
0 3 2
3 0 3
0 2 3
10 3
2 0 3
1 2 2
1 2 3
2 0 0
3 3 1
1 0 0
2 0 1
1 0 3
3 0 1
3 1 1
10 3
1 2 1
0 2 0
2 2 0
1 1 0
0 0 0
0 2 2
1 0 0
2 1 0
1 2 0
0 1 0
10 7
2 1 0
2 0 2
1 4 1
4 0 0
4 1 1
4 3 0
3 1 1
1 1 2
3 4 1
3 1 4
10 5
2 5 2
5 3 4
0 0 5
2 2 1
3 5 5
1 5 4
5 1 0
2 3 2
2 3 1
5 2 0
10 6
3 0 4
2 1 0
1 3 3
5 1 2
4 0 2
3 5 0
0 5 2
0 5 5
4 1 2
3 3 0
10 2
2 1 2
2 0 3
0 3 2
3 1 1
2 1 3
3 0 0
0 3 1
0 1 3
3 0 1
1 3 0
10 7
3 3 3
3 2 0
3 2 1
1 2 2
1 2 1
2 1 0
1 3 1
2 2 0
1 0 2
1 1 1
10 8
2 1 2
2 2 0
1 2 2
1 0 1
0 0 1
1 0 0
2 1 1
1 1 2
2 0 1
2 2 2
10 2
1 1 2
2 4 4
0 0 2
3 1 5
4 3 4
0 2 1
2 3 0
1 3 3
4 1 3
3 5 2
10 3
4 2 5
5 5 4
3 0 1
0 1 2
4 5 0
5 2 4
2 2 5
1 1 1
5 5 3
3 3 3
10 8
1 2 0
0 0 2
1 2 1
1 1 2
1 2 2
2 0 2
1 0 1
1 1 1
1 0 0
2 0 1
10 4
4 2 2
0 4 0
1 1 3
3 4 1
3 3 2
2 2 0
2 1 1
2 2 1
0 2 0
1 1 4
10 9
2 2 4
1 1 5
3 5 5
2 2 2
1 1 3
0 2 2
2 1 1
2 4 5
4 3 5
5 4 4
10 9
0 2 2
2 3 1
0 1 3
2 3 0
1 1 0
3 0 3
1 3 2
0 2 3
3 3 1
1 2 2
10 3
1 0 2
3 3 0
3 3 3
1 3 0
3 0 2
3 2 3
1 3 1
2 1 1
2 0 3
3 0 1
10 8
2 2 1
3 0 5
4 1 3
2 4 3
3 4 0
4 0 4
5 3 4
1 1 4
5 4 1
2 3 3
10 5
4 2 2
5 1 3
5 5 3
4 0 4
3 0 1
3 4 1
0 5 5
3 0 5
2 1 3
4 2 0
10 9
3 2 1
0 4 1
1 3 4
1 0 3
3 0 3
0 1 1
2 1 2
3 2 2
3 0 0
1 2 4
10 7
0 3 0
2 1 4
2 4 4
0 1 4
1 3 3
2 1 3
2 3 4
0 0 3
4 1 0
4 4 1
10 2
2 4 1
0 3 3
0 1 0
4 4 4
0 3 2
1 4 4
3 0 2
3 1 0
3 0 1
2 3 0
10 3
3 1 3
3 2 0
0 1 0
0 1 3
2 0 3
3 3 2
0 1 1
2 1 2
2 3 0
0 0 0
10 5
2 0 1
1 1 3
0 3 0
1 3 2
3 0 2
1 2 1
1 2 3
0 2 2
2 2 3
1 2 0
10 6
2 4 0
0 4 0
1 3 1
3 3 2
3 3 3
3 2 4
3 4 5
4 5 4
0 5 2
3 3 4
10 7
3 1 0
2 3 2
1 3 3
2 2 0
0 3 0
1 0 4
1 1 4
0 3 3
3 4 3
0 0 2
10 2
5 3 2
5 4 0
2 5 0
5 2 5
2 2 4
0 3 5
3 4 3
0 0 2
2 3 2
4 5 1
10 4
4 5 5
3 1 2
5 4 2
0 3 3
3 3 1
2 0 5
4 2 2
5 4 1
1 4 2
5 2 3
10 7
0 0 4
3 4 4
0 2 2
3 2 2
4 4 1
0 0 0
3 3 1
4 1 2
4 3 1
2 1 0
10 7
1 2 0
0 1 3
4 5 2
0 4 3
0 0 3
0 5 4
3 2 4
5 1 1
0 0 2
1 3 4
10 2
0 0 3
3 0 2
3 1 3
0 3 3
3 1 1
3 0 3
0 3 1
0 0 2
3 3 3
1 2 0
10 8
1 0 1
1 3 0
2 3 1
0 3 3
0 2 0
3 3 1
2 2 1
2 2 2
2 0 0
3 0 1
10 2
0 3 0
3 0 1
3 4 1
0 0 1
1 1 0
4 0 2
1 3 3
3 1 1
0 2 1
1 2 3
10 9
1 0 1
2 1 4
1 3 1
1 0 2
4 1 1
2 4 3
2 2 4
4 3 0
4 3 4
5 5 3
10 7
3 0 3
2 3 2
3 1 2
0 3 3
0 3 2
2 0 0
0 1 2
3 2 3
1 2 1
2 1 2
10 7
1 0 0
0 1 2
1 0 1
0 0 0
1 1 0
1 2 1
0 0 2
0 2 0
0 0 1
0 1 1
10 5
1 0 0
0 0 1
1 1 3
2 3 1
2 1 1
1 1 1
3 2 1
1 2 0
2 0 2
1 0 3
10 8
0 1 2
1 2 0
0 0 2
0 0 0
1 1 1
1 2 1
2 2 1
0 1 1
0 2 2
2 1 0
10 6
2 1 1
0 1 1
1 1 2
1 1 0
1 2 2
2 2 2
1 2 0
1 0 1
2 0 0
0 0 2
10 9
0 4 2
1 0 2
3 2 2
3 2 3
0 5 3
1 4 5
4 2 1
2 4 4
4 5 1
3 2 5
10 6
0 3 1
1 2 3
1 2 2
2 3 2
3 2 0
0 0 0
1 0 2
1 0 1
1 3 2
2 0 1
10 7
2 4 3
4 3 3
5 1 4
3 4 4
1 1 5
3 3 0
4 4 4
2 0 5
3 1 5
5 3 1
10 4
1 0 1
2 1 1
1 1 2
3 0 3
2 3 1
0 1 0
3 3 3
1 0 2
0 2 0
1 2 2
10 9
2 1 0
2 4 0
3 4 1
0 3 2
1 4 1
0 3 1
4 2 0
0 2 4
3 3 4
4 4 3
10 2
2 4 5
0 5 0
0 1 4
3 3 3
1 4 1
1 3 3
1 1 5
2 5 1
1 0 1
0 1 2
10 6
3 1 2
2 5 2
3 1 1
3 3 2
3 0 2
5 2 4
3 4 3
1 2 5
0 3 2
1 1 0
10 5
2 1 1
3 0 0
2 0 2
0 3 3
1 3 0
0 1 1
0 2 2
3 3 1
3 2 1
1 1 0
10 5
3 2 4
5 4 4
0 4 5
0 1 0
4 4 3
3 5 2
5 5 2
0 5 1
1 3 5
3 3 3
10 2
3 2 1
0 1 3
3 2 3
3 4 2
1 3 3
0 0 2
0 3 3
3 3 3
3 1 1
0 4 1
10 7
1 0 0
2 3 1
1 5 2
3 3 1
0 4 3
4 0 2
4 0 5
2 1 3
0 3 5
0 1 4
10 3
5 4 3
5 2 5
5 5 2
4 0 5
1 0 1
2 1 5
3 1 5
3 0 1
2 2 0
1 2 3
10 4
3 3 4
4 4 2
1 1 3
4 2 4
4 3 2
0 4 3
0 0 4
1 3 0
1 3 1
0 1 3
10 5
5 2 1
2 2 0
5 3 1
3 5 3
1 4 3
3 2 4
1 3 0
1 1 4
3 1 4
5 5 1
10 8
0 2 0
1 2 1
2 0 2
0 1 1
2 2 1
0 2 2
2 1 2
0 2 1
0 1 0
1 0 1
10 5
3 1 4
2 0 3
1 1 1
3 0 3
0 1 3
1 2 0
3 4 2
1 4 4
0 4 1
3 1 2
10 2
0 1 3
1 2 4
0 4 2
0 0 1
3 3 4
3 3 1
1 1 2
1 2 3
2 3 0
2 4 4
10 8
1 1 2
0 1 0
1 0 2
1 2 0
2 0 0
0 0 2
1 0 0
1 2 1
2 0 2
2 1 0
10 7
5 4 5
0 0 4
1 4 5
5 0 3
1 4 4
3 4 0
5 5 4
0 3 5
4 4 4
5 4 0
10 3
1 0 1
2 1 1
1 2 1
0 1 1
0 0 1
2 2 2
1 2 0
0 0 2
2 2 1
0 1 2
10 8
1 2 0
1 2 1
3 0 3
2 2 1
0 1 0
2 3 3
0 3 0
1 0 1
1 3 0
3 3 0
10 8
1 3 1
3 0 3
1 2 1
4 2 4
2 0 2
4 4 3
4 3 3
2 1 4
1 3 0
2 3 3
10 3
4 5 5
2 4 2
3 4 2
4 2 4
3 5 2
0 2 3
4 3 1
2 0 1
5 1 3
5 3 1
10 2
1 0 2
1 1 3
1 0 0
2 0 3
3 2 2
3 0 3
3 0 1
0 1 2
2 3 0
0 3 2
10 8
3 1 5
1 0 5
1 2 3
4 0 4
1 5 5
2 3 2
1 4 1
1 5 4
0 2 1
2 1 3
10 2
2 2 0
0 1 2
2 1 1
1 2 1
1 2 0
2 0 2
2 0 1
1 2 2
1 0 1
0 0 2
10 3
0 0 1
0 0 0
1 1 2
2 1 2
0 1 1
0 1 2
2 2 1
1 2 2
0 2 1
2 1 0
10 3
4 0 0
4 4 0
4 2 4
5 5 0
4 5 2
2 2 5
0 2 2
5 4 1
3 4 4
2 2 2
10 7
2 0 4
2 0 5
3 4 2
5 2 0
0 0 0
4 5 5
0 1 3
4 1 3
3 1 2
0 1 0
10 9
1 1 0
3 3 2
3 1 1
1 4 3
0 1 1
4 2 2
1 1 2
0 3 1
0 2 4
4 4 4
10 3
1 0 2
4 0 0
2 1 4
0 4 0
2 3 0
2 4 3
2 4 1
0 1 4
1 1 3
3 2 1
10 9
2 3 1
0 0 2
2 1 3
2 0 0
3 0 1
2 0 1
0 1 2
0 2 2
3 1 2
3 3 2
10 7
2 2 3
3 1 1
1 2 2
3 0 3
1 0 1
4 3 3
4 3 1
2 4 2
1 1 3
4 2 0
10 2
0 1 0
1 2 0
3 3 1
0 3 4
2 4 3
2 4 0
1 0 4
3 1 3
0 2 2
1 2 2
10 8
2 2 0
2 1 2
2 2 1
2 2 2
2 1 0
2 1 1
0 1 0
1 0 1
0 2 2
1 2 2
10 5
0 1 2
3 1 0
1 3 0
1 1 0
3 2 0
2 1 0
1 2 3
1 1 3
2 2 1
3 2 1
10 6
0 0 1
4 4 0
4 1 2
4 2 0
0 2 4
2 1 1
0 1 4
4 0 3
0 0 4
1 4 0
10 3
1 1 3
3 1 1
1 3 4
4 1 0
2 0 0
1 4 4
4 2 4
1 1 4
3 4 4
2 4 0
10 2
3 2 1
1 1 1
2 1 2
0 3 2
1 3 2
0 2 3
2 0 2
2 0 3
3 3 0
0 2 1
10 7
1 2 0
1 0 2
2 2 1
2 2 0
0 2 0
2 0 1
2 0 2
0 1 1
0 0 2
0 0 1
10 4
3 4 2
1 3 3
4 0 4
4 4 4
4 4 2
4 4 0
0 3 2
1 4 3
3 4 3
2 4 1
10 8
2 2 0
0 1 0
2 1 0
0 0 1
1 1 1
2 1 1
1 1 2
2 0 1
1 0 2
0 1 1
10 9
0 0 1
2 4 1
2 3 3
2 2 5
0 3 3
4 2 3
2 0 1
3 5 1
0 2 5
5 4 5
10 2
3 0 1
0 1 3
1 0 1
2 3 2
2 3 1
1 1 3
2 2 1
0 3 3
0 3 0
3 2 3
10 5
1 3 0
4 0 0
4 0 2
0 3 4
2 0 0
0 0 1
1 3 2
4 4 2
3 1 0
3 3 0
10 5
2 0 3
1 2 0
2 0 2
0 0 2
0 3 1
3 0 2
3 0 3
1 1 3
2 0 0
0 3 2
10 9
2 0 2
0 1 0
1 0 0
2 1 0
0 2 2
1 0 1
0 2 1
1 1 0
1 2 0
1 0 2
10 5
0 0 2
1 2 1
2 0 2
2 2 0
1 1 0
0 0 0
1 1 1
2 0 0
1 1 2
1 0 2
10 6
0 0 1
0 2 0
3 3 3
3 0 2
1 1 2
1 2 3
3 3 2
0 1 3
1 0 2
0 0 3
10 6
4 3 2
4 4 3
4 0 1
0 4 3
3 3 5
2 3 2
3 3 4
3 5 2
5 4 4
5 1 3
10 3
0 2 0
1 4 2
2 5 0
0 0 3
1 1 4
4 2 5
4 4 4
3 2 3
2 3 0
1 5 0
10 8
1 0 0
2 1 2
0 4 3
4 0 3
4 2 3
2 0 2
4 2 2
1 3 1
1 1 3
2 3 2
10 8
0 2 2
3 5 0
0 2 3
3 0 2
3 4 5
4 1 3
0 1 3
5 2 0
1 0 5
3 3 4
10 9
1 0 0
2 0 0
0 1 1
0 2 1
1 2 2
2 1 1
0 0 2
0 2 2
2 2 2
1 2 1
10 3
3 5 1
5 1 2
5 5 5
5 1 3
5 0 4
1 4 0
2 0 4
3 1 1
4 1 5
5 1 5
10 3
1 2 0
1 0 0
1 0 1
2 0 0
0 1 2
0 0 1
1 1 1
1 0 2
1 1 0
2 2 0
10 4
0 2 0
1 2 3
2 0 1
0 1 3
2 0 0
2 3 2
0 2 1
0 3 2
3 1 2
2 3 0
10 6
2 1 2
1 1 2
3 2 3
3 1 3
0 3 3
3 0 1
3 3 2
2 0 2
0 0 2
1 3 0
10 9
3 3 3
4 1 4
1 4 1
5 4 2
1 0 1
5 1 2
0 3 3
1 5 1
3 2 4
3 3 4
10 7
2 0 1
0 1 1
1 3 2
3 3 3
2 3 2
1 0 3
1 2 0
1 2 3
1 3 1
3 2 3
10 7
2 0 2
2 3 2
1 0 1
0 3 1
0 0 0
1 3 2
1 1 3
3 3 0
0 1 0
2 1 2
10 8
4 2 0
4 3 4
3 3 3
4 1 4
1 1 2
3 0 1
2 0 4
3 2 3
0 1 1
0 0 2
10 2
1 0 3
2 2 2
0 3 1
1 1 2
3 1 1
1 3 1
3 0 2
3 3 3
1 1 3
2 3 0
10 3
3 2 3
2 1 3
3 1 1
1 2 3
1 0 1
3 1 0
0 0 2
2 2 0
0 0 1
0 1 1
10 8
1 3 2
1 1 1
1 3 0
0 3 3
3 2 2
3 3 1
0 0 3
2 2 2
3 0 1
2 2 1
10 2
1 1 1
0 1 0
2 1 0
1 0 2
2 0 2
0 1 1
0 2 2
1 2 1
2 0 1
1 1 0
10 4
4 1 0
1 2 4
2 4 4
0 4 4
4 1 3
1 1 2
4 5 3
1 5 0
4 5 4
1 1 4
10 2
2 2 2
0 0 0
1 1 2
1 2 1
0 2 2
0 1 0
1 1 0
0 2 0
2 0 1
2 2 0
10 7
0 3 1
2 2 2
1 0 3
3 1 0
2 2 3
0 0 3
1 3 3
0 1 1
3 0 0
3 3 3
10 6
3 3 0
1 1 1
2 0 2
3 3 3
0 0 3
3 1 2
0 2 2
2 2 2
0 2 3
3 2 0
10 7
3 4 4
0 1 0
4 3 0
1 3 0
1 2 1
3 4 0
1 2 3
1 2 4
2 2 0
3 0 1
10 5
2 2 2
1 3 1
1 0 1
0 2 0
2 0 2
2 0 0
0 0 2
0 2 2
1 0 2
2 1 0
10 7
4 2 4
0 2 4
0 2 3
2 3 2
3 2 2
0 4 1
0 1 3
3 4 1
0 3 0
2 0 4
10 8
0 1 0
0 1 2
4 2 4
2 3 4
3 3 3
3 0 1
3 0 4
1 1 1
4 1 4
2 4 4
10 2
0 0 0
2 1 2
0 2 2
2 1 0
1 1 1
1 0 2
0 2 0
1 1 0
2 0 1
0 2 1
10 5
3 4 2
5 3 5
1 5 4
3 3 3
4 2 4
4 1 2
2 1 5
0 2 1
0 0 4
0 1 3
10 2
0 1 0
1 1 1
2 2 2
0 0 2
0 1 2
0 1 1
1 2 0
0 2 0
2 1 0
1 0 0
10 7
3 3 3
0 3 2
1 1 3
2 0 0
2 0 1
0 1 2
3 3 1
2 2 1
3 3 0
3 3 2
10 3
0 2 1
3 3 0
1 2 3
2 3 3
2 3 2
2 3 1
1 2 2
2 2 3
3 3 2
3 1 0
10 8
0 0 2
2 2 0
2 1 0
0 1 2
1 0 2
2 0 1
1 2 2
0 2 2
1 0 1
2 1 2
10 3
4 4 0
3 2 2
2 4 5
0 1 0
3 5 0
4 0 0
1 0 1
5 4 1
2 5 4
4 1 4
10 6
1 2 3
2 2 1
3 0 2
2 2 3
1 3 0
1 1 0
3 3 0
2 2 2
3 2 3
1 2 2
10 2
0 2 2
3 2 2
1 2 2
1 0 3
1 0 2
1 0 1
2 2 0
1 2 1
2 3 2
2 0 2
10 7
1 0 1
2 2 2
0 0 1
2 1 0
0 0 2
1 2 2
0 1 0
2 0 0
2 0 2
2 2 1
10 5
3 2 0
0 2 2
0 2 0
3 0 3
3 0 1
2 3 0
1 0 2
2 3 1
1 2 2
0 0 0
10 4
1 0 1
2 2 1
5 0 5
2 2 3
4 1 5
0 5 3
3 3 2
4 4 1
5 3 0
4 3 5
10 5
0 0 0
1 2 2
2 0 2
2 0 0
0 1 0
1 1 2
1 1 1
2 2 0
0 1 1
0 2 2
10 7
2 0 2
2 1 0
1 1 2
0 0 2
0 2 0
1 1 1
0 1 2
1 0 0
2 1 1
2 0 1
10 3
3 0 2
2 3 2
2 0 0
0 1 2
1 2 0
0 1 1
1 3 2
0 2 1
2 3 3
0 2 2
10 7
0 2 0
2 1 0
0 1 0
2 0 0
2 2 2
0 0 2
0 2 1
1 2 1
0 1 1
0 0 1
10 8
0 3 3
4 4 0
4 2 0
0 0 4
3 0 2
0 0 1
1 1 0
3 1 2
3 0 3
3 0 1
10 5
3 5 4
1 0 1
1 3 1
5 2 4
3 2 4
2 0 0
3 5 5
0 5 2
1 4 2
3 3 4
10 5
0 0 2
0 0 1
0 1 1
2 0 0
2 1 2
2 0 2
1 1 1
2 1 0
1 2 0
1 2 1
10 3
2 0 2
0 1 2
1 2 1
2 2 2
2 1 2
0 2 2
0 0 0
1 1 0
1 2 2
1 1 1
10 2
0 2 3
1 0 2
3 1 3
0 0 3
0 0 2
2 2 2
0 1 1
3 0 0
2 0 0
3 2 0
10 6
3 3 3
4 3 1
4 2 0
3 1 3
1 4 0
0 4 2
3 2 2
0 4 0
0 1 3
1 2 4
10 2
0 2 2
2 1 1
1 0 1
0 0 2
1 1 0
1 2 2
0 1 0
0 1 1
2 2 0
0 2 0
10 4
3 3 1
0 0 0
1 2 0
0 1 3
0 2 3
3 0 2
1 3 1
0 1 1
2 2 2
3 1 3
10 6
3 3 1
4 0 2
3 4 3
0 1 4
0 4 1
5 2 5
1 2 5
1 5 0
3 2 4
5 0 1
10 3
1 4 5
4 4 1
1 1 4
5 0 1
2 2 5
5 2 4
5 5 0
2 2 4
1 0 0
3 4 3
10 9
5 3 1
5 3 2
4 5 5
1 3 2
3 2 1
5 0 4
1 2 1
4 3 1
5 3 3
0 4 5
10 3
4 2 3
2 3 4
3 0 3
0 1 3
3 3 3
1 1 1
2 1 1
3 4 1
1 1 3
0 3 2
10 7
3 1 2
2 2 1
1 1 1
2 0 0
3 2 3
1 3 0
3 3 2
0 3 1
3 0 0
3 3 0
10 8
2 1 2
2 0 1
1 1 0
1 1 1
0 2 0
1 1 2
2 0 2
2 0 0
1 0 0
0 1 2
10 3
3 2 5
3 0 4
4 1 2
5 4 5
1 3 4
3 3 0
0 4 2
3 4 1
5 2 0
1 3 2
10 7
1 1 4
0 5 4
1 3 4
2 1 3
1 4 2
2 4 5
1 5 2
1 1 3
2 0 1
5 2 3
10 4
1 1 2
2 2 0
2 1 3
3 2 2
2 2 2
3 1 0
0 3 1
2 1 1
3 3 3
1 2 0
10 9
2 4 2
0 4 2
3 0 5
5 3 0
1 3 2
0 5 2
4 1 3
1 2 3
2 5 4
2 4 4
10 6
2 1 2
1 0 1
0 2 2
1 2 1
2 0 0
0 0 0
1 0 2
1 2 2
0 1 1
2 1 0
10 4
2 3 2
4 4 3
1 4 4
1 1 1
4 2 3
1 0 2
3 2 4
2 2 0
4 0 1
4 0 4
10 7
4 4 0
3 0 2
2 1 4
4 1 0
5 0 5
0 3 1
4 3 5
0 3 3
5 0 2
4 1 5
10 4
0 3 3
3 1 2
2 1 0
2 0 3
2 1 1
0 3 2
0 2 3
1 2 0
2 0 0
3 0 2
10 7
2 0 0
0 0 2
0 0 1
0 2 0
0 1 0
0 2 2
2 1 2
0 1 1
2 1 1
1 0 1
10 8
1 1 0
0 0 0
2 0 1
1 1 2
2 2 1
2 1 0
2 2 2
1 0 2
2 1 1
1 2 1
10 5
2 0 2
2 3 1
2 2 2
2 0 3
0 2 1
1 2 1
1 0 0
2 3 0
0 3 0
3 2 3
10 8
0 5 2
0 4 5
4 3 4
5 4 1
0 5 5
2 3 0
2 0 5
4 0 5
3 4 0
0 1 0
10 9
2 2 0
0 2 0
3 1 3
0 0 0
1 1 0
3 0 2
2 0 0
3 3 1
3 3 3
2 3 3
10 7
2 0 3
5 1 2
4 2 5
0 5 1
3 1 2
2 4 5
4 3 5
5 5 3
3 1 3
4 3 2
10 6
4 4 0
5 3 1
2 1 4
3 1 0
1 5 5
1 1 3
3 2 2
4 2 5
5 3 3
3 0 1
10 5
1 1 1
3 2 0
0 0 3
2 1 0
3 3 0
2 0 3
0 3 2
3 1 3
3 0 2
0 1 3
10 6
1 1 1
2 3 5
4 0 3
2 5 4
4 1 2
1 2 0
2 2 4
1 1 0
2 2 1
3 4 0
10 5
4 3 0
1 5 4
1 4 2
2 1 1
2 5 1
3 0 0
1 2 3
1 0 3
5 4 4
0 5 5
10 7
2 2 2
2 0 0
1 1 1
2 0 1
1 2 1
2 2 0
0 1 0
0 0 1
0 0 0
0 2 2
10 9
1 3 0
0 2 3
1 5 0
3 3 5
2 5 4
3 2 3
3 0 0
0 0 2
5 4 2
1 5 2
10 4
0 2 0
1 0 1
1 0 0
1 0 2
2 2 2
1 1 0
0 1 1
0 2 2
0 1 2
1 1 1
10 4
4 1 3
4 2 0
4 0 2
3 0 1
2 2 2
3 2 0
2 3 3
0 3 2
2 2 4
0 0 4
10 5
1 2 2
0 1 0
3 4 0
0 3 1
3 1 3
3 1 0
1 3 1
0 0 2
2 4 1
2 1 0
10 4
2 0 0
0 1 1
1 2 2
1 1 1
0 2 2
0 0 0
2 2 2
2 1 1
2 1 2
0 2 1
10 5
1 3 3
2 3 1
3 3 3
2 3 2
0 0 3
0 3 2
3 1 0
2 2 0
1 0 0
3 3 1
10 3
0 3 1
4 1 1
1 4 4
0 1 1
4 4 4
2 0 4
3 4 2
3 0 1
0 2 3
2 3 3
10 6
1 2 2
2 1 1
0 1 2
0 2 2
0 1 1
2 2 1
0 0 0
0 0 2
1 1 1
1 2 1
10 3
3 1 4
3 4 3
5 5 2
4 4 1
3 0 4
0 1 0
4 1 5
1 2 0
1 1 3
3 3 4
10 3
5 2 2
5 2 3
0 3 3
0 2 4
4 4 0
0 3 5
2 3 3
2 3 0
3 0 0
0 0 1
10 5
2 0 2
1 2 2
0 0 0
0 2 0
2 2 1
2 2 2
2 1 1
0 1 1
1 0 1
2 1 2
10 3
2 4 5
4 5 2
4 0 1
5 5 0
2 3 3
3 4 4
0 4 2
1 4 0
2 0 2
3 1 4
10 5
3 4 4
1 2 4
4 2 2
3 0 5
3 5 4
0 1 4
2 4 1
2 5 2
2 4 4
5 0 2
10 7
1 3 5
3 3 5
5 5 4
2 0 1
4 4 5
0 4 5
3 5 3
2 3 3
3 1 4
3 5 2
10 3
0 3 2
2 3 2
3 3 0
3 1 2
2 3 3
3 1 1
3 2 0
0 2 0
0 3 3
1 1 3
10 4
5 4 4
1 2 5
3 2 4
5 1 1
2 5 5
0 4 3
4 4 4
1 0 4
5 3 5
0 0 4
10 3
3 2 3
2 1 2
1 3 4
4 4 4
1 2 1
3 3 3
3 1 0
4 4 2
1 3 0
1 4 2
10 9
4 1 3
2 2 5
3 3 2
1 1 0
2 0 3
5 4 0
3 4 0
1 0 5
2 0 0
5 4 1
10 8
1 0 0
1 2 1
1 2 2
2 2 2
0 1 2
1 1 1
1 0 2
2 1 2
2 1 1
2 0 2
10 8
5 1 0
3 1 2
0 1 5
3 4 5
0 2 3
1 3 2
1 4 1
3 2 1
0 0 0
0 1 3
10 8
3 0 3
1 0 2
1 2 3
2 0 3
3 0 0
0 3 2
1 2 0
0 2 2
0 0 0
2 2 2
10 3
1 1 0
0 1 2
2 0 0
0 2 0
2 2 1
1 0 0
0 2 1
1 0 1
0 1 1
0 1 0
10 2
0 1 2
0 1 1
2 1 0
1 1 1
2 0 2
2 2 0
2 1 2
2 1 1
0 0 0
0 1 0
10 4
2 2 0
1 1 1
1 2 1
1 2 2
2 0 0
0 1 1
0 1 2
0 2 1
1 0 0
1 1 2
10 6
2 2 3
0 1 0
0 0 3
3 0 0
3 0 1
3 2 1
1 1 3
2 3 0
1 2 1
0 0 2
10 9
4 0 4
4 3 2
2 1 4
4 0 2
1 2 3
1 3 3
4 2 0
4 4 0
3 3 1
1 2 2
10 2
1 0 2
4 2 0
4 0 3
0 0 4
3 1 2
3 2 4
1 0 0
3 0 4
4 1 3
1 4 4
10 7
2 5 3
1 4 5
1 4 0
4 2 0
2 2 5
0 5 4
0 1 4
4 0 4
4 3 1
3 1 1
10 3
2 0 2
1 3 2
1 2 1
3 2 3
3 2 1
0 0 3
2 2 0
0 1 1
0 3 0
2 1 3
10 3
1 4 2
0 2 4
4 2 3
2 3 0
1 2 1
3 2 0
4 2 0
0 4 1
3 4 4
3 4 0
10 4
0 0 5
5 3 1
5 0 3
3 2 3
0 2 3
1 4 5
4 5 3
3 1 0
0 1 2
2 2 5
10 7
4 2 4
2 4 2
3 2 5
3 0 0
4 2 2
4 1 4
4 4 2
3 0 1
3 1 0
0 5 5
10 8
2 1 1
1 1 2
1 0 2
1 2 2
2 2 0
1 2 0
2 1 2
2 0 0
0 2 0
2 2 2
10 2
5 4 3
4 5 2
5 1 0
0 3 5
0 5 1
0 1 3
1 5 5
0 4 3
3 3 1
1 5 3
10 7
3 2 2
2 3 0
2 0 1
3 0 1
2 0 0
1 2 2
0 3 2
2 2 3
2 1 1
3 0 3
10 6
1 2 1
3 0 1
3 1 3
3 1 0
0 2 2
3 2 3
1 0 0
3 3 3
0 2 0
0 1 3
10 4
5 5 4
3 1 3
3 4 5
4 3 0
0 2 3
3 4 0
0 2 5
0 3 0
2 3 4
3 0 0
10 5
0 1 2
0 2 2
0 2 0
2 1 1
2 0 0
2 2 2
0 1 1
2 2 1
1 1 1
0 0 2
10 2
3 4 2
3 1 0
0 3 2
2 2 4
3 3 4
0 3 0
1 4 1
4 1 0
0 1 1
0 4 1
10 7
0 0 0
1 2 0
0 3 2
2 0 0
0 0 3
2 2 0
0 3 0
3 2 1
1 2 1
0 1 2
10 9
0 1 2
0 0 0
0 0 2
1 2 1
0 1 1
1 1 1
2 1 2
0 2 2
2 2 1
1 0 1
10 7
1 0 1
0 1 1
1 1 2
2 1 2
2 2 1
0 2 0
2 0 1
0 0 1
2 1 1
0 1 2
10 4
1 4 1
4 2 0
3 1 1
4 0 1
0 0 3
2 4 1
0 2 2
3 1 2
0 1 2
4 2 4
10 7
0 2 0
0 1 1
0 0 0
0 0 1
0 2 2
2 0 1
2 1 1
2 2 0
2 0 2
2 0 0
10 8
0 0 0
2 0 1
1 2 0
0 1 2
1 1 1
1 2 2
0 2 2
0 1 1
0 1 0
0 0 1
10 9
1 1 0
0 3 4
3 1 1
4 4 2
1 0 4
3 0 2
2 3 2
1 2 4
2 4 2
4 2 3
10 2
0 1 0
3 3 0
0 4 3
0 3 1
2 1 0
2 3 1
2 2 3
3 1 1
4 1 2
2 4 3
10 5
2 2 3
4 4 5
1 4 5
4 4 1
0 0 3
4 2 0
5 4 1
3 4 5
0 3 3
3 1 2
10 6
2 1 2
0 1 0
1 1 0
2 2 1
2 1 1
2 2 2
2 0 2
0 0 2
0 0 0
0 0 1
10 7
2 2 1
0 0 3
3 2 0
2 2 0
1 2 0
3 1 1
1 3 2
2 3 3
1 0 3
3 1 3
10 8
4 2 5
0 4 5
0 0 4
0 1 2
4 0 4
1 5 0
3 4 2
3 2 4
0 4 1
0 5 5
10 6
1 1 0
0 1 2
1 2 1
0 0 3
2 1 2
3 2 0
1 2 3
0 1 0
3 3 3
2 0 3
10 4
2 3 0
5 3 0
3 5 1
1 0 5
0 1 3
5 2 0
3 1 2
3 0 0
3 4 1
0 4 2
10 3
5 1 5
2 5 0
1 3 5
1 4 5
4 3 2
3 3 2
4 0 1
0 4 4
1 5 1
4 4 4
10 8
0 1 2
0 0 4
5 0 0
1 4 0
0 3 1
3 5 3
5 1 1
5 1 0
0 1 1
2 1 3
10 7
0 0 3
2 0 3
3 2 1
2 0 0
0 3 2
1 3 3
0 1 0
3 0 1
2 0 1
2 3 3
10 8
2 0 0
0 2 1
2 1 2
1 1 2
1 2 2
2 2 2
0 0 0
2 2 1
2 2 0
2 0 1
10 3
4 5 2
0 1 4
5 4 4
4 4 0
2 5 1
4 4 1
1 0 3
3 3 3
0 5 2
1 0 0
10 4
2 2 2
0 0 0
3 0 3
1 2 4
0 2 2
0 2 0
4 1 1
1 2 2
1 3 3
0 3 0
10 6
1 3 0
3 3 2
2 1 1
0 3 3
3 3 0
1 0 0
0 2 0
1 1 1
3 3 3
2 0 1
10 8
1 0 0
0 0 1
1 2 2
0 1 0
2 0 0
1 2 1
1 1 0
0 1 1
2 1 1
0 0 0
10 2
4 4 0
3 2 2
0 1 0
3 1 3
2 3 2
3 1 0
1 3 1
0 5 5
0 3 3
1 0 2
10 3
0 1 0
0 0 0
1 1 2
1 2 0
1 0 2
1 1 1
1 2 2
2 2 2
0 0 1
2 1 1
10 6
0 0 1
2 0 1
2 1 2
0 1 1
0 2 1
2 2 1
1 2 2
0 0 2
0 2 2
2 2 2
10 4
5 2 3
0 1 0
4 1 5
5 0 5
2 0 0
1 4 5
1 4 4
1 2 4
2 4 4
0 5 3
10 9
2 2 0
2 1 1
1 0 2
0 1 2
0 2 2
1 2 2
0 1 0
2 1 2
1 2 1
0 2 1
10 9
2 2 3
1 3 0
1 0 3
0 4 2
4 0 3
3 5 0
4 1 1
3 1 4
2 2 0
2 4 3
10 7
1 1 0
3 0 5
2 0 2
5 1 2
2 2 5
5 5 2
0 2 3
1 4 4
4 1 3
5 5 4
10 9
3 3 0
0 1 3
1 0 0
3 1 2
0 3 2
0 3 3
1 3 2
1 0 2
2 3 0
0 1 0
10 2
2 1 1
0 0 2
0 0 1
1 1 2
2 1 0
1 2 1
0 2 1
0 2 2
0 1 0
2 0 1
10 5
2 3 0
0 2 3
3 1 3
2 0 2
0 0 1
2 1 2
2 3 3
3 1 0
3 3 3
1 2 3
10 8
3 4 2
1 4 0
2 3 2
1 4 2
4 2 3
3 3 2
2 1 0
4 0 4
1 0 0
0 0 0
10 4
2 0 0
2 0 2
2 1 1
0 2 2
2 1 2
0 1 1
1 0 0
2 2 0
2 2 1
1 1 0
10 7
5 2 3
2 5 4
0 0 4
3 3 2
3 2 3
3 4 3
0 0 3
5 2 4
1 0 4
5 0 1
10 9
3 3 3
3 4 1
3 0 2
3 4 3
3 0 1
4 0 3
1 2 4
2 2 2
2 4 3
4 1 4
10 8
2 1 1
1 4 1
1 2 0
0 2 2
1 3 4
2 3 1
4 0 4
2 3 3
2 2 2
3 1 3
10 3
1 2 3
0 1 1
2 0 1
1 3 1
1 1 2
1 0 2
2 2 3
1 2 2
3 1 2
1 2 1
10 6
2 2 0
1 0 4
2 2 4
1 3 2
1 2 1
1 0 3
0 2 0
1 3 4
2 1 1
2 2 1
10 5
2 0 2
1 0 1
2 1 2
2 2 1
1 0 2
0 1 1
0 0 1
1 1 0
0 2 2
1 2 2
10 2
2 0 1
4 0 2
2 4 1
2 0 4
0 0 1
0 4 1
1 4 3
1 3 3
2 0 0
2 4 3
10 9
0 0 0
0 2 3
3 2 3
4 4 3
3 3 5
2 5 0
1 1 2
5 1 2
0 5 1
0 5 4
10 2
3 1 2
1 0 1
2 0 2
4 3 1
0 4 1
3 3 3
2 3 4
0 2 3
1 1 1
2 2 0
10 3
4 0 4
4 1 3
1 0 4
2 3 4
1 0 0
1 3 0
4 2 4
2 4 1
3 0 0
0 4 1
10 2
3 5 0
4 2 0
3 4 2
5 2 4
3 1 2
0 1 4
0 3 5
1 3 3
2 3 0
5 5 1
10 7
0 0 2
2 0 2
0 2 2
1 2 2
0 1 2
0 0 1
2 1 1
1 0 2
1 1 1
2 2 1
10 5
1 0 3
1 1 2
1 4 1
1 4 0
3 4 0
0 0 3
3 3 3
3 1 1
1 0 0
0 4 1
10 5
1 0 2
0 1 5
4 4 0
1 1 0
2 1 1
0 4 4
3 5 5
0 5 4
2 2 2
2 3 4
10 3
1 0 0
0 2 2
2 2 2
1 2 1
2 0 2
1 1 1
0 2 0
2 1 2
1 2 0
1 1 2
10 5
3 2 2
0 3 2
1 2 1
0 2 2
3 2 1
3 3 1
2 1 3
3 0 0
1 3 1
3 2 0
10 8
4 0 2
3 1 4
0 2 2
1 1 3
1 4 4
3 4 2
2 0 4
2 1 2
2 4 2
1 2 0
10 5
3 2 4
3 0 2
1 3 1
0 3 0
0 3 1
0 0 0
1 4 3
0 4 1
3 4 0
0 0 3
10 4
2 0 1
2 2 2
2 0 0
0 1 1
2 2 1
1 0 2
2 0 2
1 1 2
0 1 0
0 2 0
10 8
1 0 1
2 1 0
0 2 2
2 0 2
1 2 2
2 2 2
0 2 0
0 0 1
0 0 2
1 1 1
10 7
0 3 2
2 0 1
3 0 2
3 1 1
1 3 1
1 0 0
0 3 3
2 1 0
3 0 1
3 1 3
10 3
2 5 0
2 5 5
2 3 0
3 3 1
3 5 3
2 2 4
3 3 5
2 1 5
0 2 1
1 1 5
10 5
4 4 1
3 4 2
1 1 0
2 3 0
4 3 0
1 4 0
3 3 1
1 4 2
2 4 3
0 0 4
10 7
1 4 5
0 2 4
2 2 4
2 5 1
4 5 4
2 2 1
0 2 3
3 3 3
4 2 1
4 4 3
10 5
1 2 0
3 0 4
4 2 3
1 1 2
1 4 2
1 3 2
0 0 3
1 2 2
2 1 0
3 1 2
10 7
4 4 5
5 5 4
2 2 4
5 1 3
0 1 3
0 1 5
0 3 2
2 4 2
4 2 4
5 3 2
10 2
0 0 2
1 0 2
2 1 0
1 1 2
2 2 0
0 0 0
2 0 1
2 0 0
1 2 0
0 1 2
10 9
0 2 0
2 0 0
2 0 2
0 0 2
0 2 1
0 1 1
2 2 2
1 0 0
1 2 1
0 2 2
10 2
1 0 3
0 0 3
1 3 3
3 2 4
1 2 4
0 1 2
0 4 3
0 2 2
4 0 1
3 4 0
10 8
2 3 2
0 1 3
2 3 1
4 1 2
4 2 0
1 4 4
4 4 3
1 2 2
3 0 1
2 1 3
10 3
1 1 4
2 5 2
1 2 0
5 5 0
5 4 1
5 1 1
4 4 3
4 4 2
5 3 2
2 5 0
10 3
1 1 0
2 1 0
0 1 1
1 0 2
0 0 1
2 0 1
2 0 0
2 1 2
0 1 2
2 0 2
10 8
2 0 0
2 1 2
1 1 0
1 2 2
2 2 2
1 1 2
2 0 2
2 2 0
0 0 2
2 2 1
10 8
3 4 4
1 3 3
0 3 2
1 0 3
2 1 2
3 3 4
0 3 1
0 4 3
0 0 3
3 1 1
10 6
1 4 0
1 4 1
5 1 2
0 0 5
4 0 1
3 5 3
5 1 3
5 3 1
4 3 1
4 2 4
10 3
1 2 3
2 4 2
2 3 4
2 3 2
4 4 3
4 2 3
2 0 4
3 1 4
3 3 3
4 1 2
10 9
2 1 2
3 1 3
2 0 2
3 0 3
1 1 3
0 2 2
2 3 1
0 0 0
2 2 2
0 2 0
10 3
2 4 0
3 3 3
0 1 2
1 3 2
1 1 1
2 3 3
2 0 1
4 1 3
1 0 2
0 1 3
10 5
2 2 1
0 1 2
1 0 0
0 2 1
2 0 2
0 0 0
0 2 0
1 0 1
1 1 0
2 1 2
10 7
5 4 1
2 2 0
5 0 2
4 5 5
2 5 1
2 0 1
2 3 4
1 0 5
4 2 4
3 5 5
10 2
2 0 3
4 4 3
3 4 2
2 1 0
1 2 1
0 4 2
2 4 3
4 4 0
0 2 2
0 4 3
10 4
0 2 2
1 1 3
1 2 3
0 1 3
0 0 0
2 1 1
0 0 2
0 2 0
1 3 0
2 3 3
10 8
4 0 0
3 2 4
2 3 4
5 0 2
4 5 3
3 4 5
3 3 2
2 0 1
3 5 0
5 5 5
10 5
3 0 0
3 3 1
3 1 3
0 2 2
0 0 0
0 3 0
3 1 0
1 2 0
3 1 1
1 1 0
10 4
0 0 2
2 0 1
0 2 0
0 2 1
2 0 2
0 0 0
0 1 2
1 1 0
0 0 1
1 1 1
10 9
2 1 1
2 3 2
2 0 1
0 1 2
0 0 1
0 2 0
2 3 3
1 0 0
2 2 3
2 2 2
10 6
1 2 1
2 1 1
0 0 1
1 2 2
2 0 1
2 1 2
0 1 2
1 1 2
0 1 0
1 0 2
10 3
0 0 1
2 1 0
1 1 1
2 1 2
0 0 2
1 2 1
2 2 2
2 2 0
0 1 2
1 0 2
10 3
0 2 1
2 2 1
0 2 2
2 1 1
0 0 0
0 1 2
1 1 2
1 0 2
1 1 0
0 0 2
10 5
0 2 1
0 0 2
1 4 3
3 1 2
2 4 0
2 0 4
4 3 4
3 4 3
2 3 1
4 3 0
10 5
2 0 2
1 2 1
0 1 0
2 2 2
1 0 1
0 2 0
0 1 2
1 2 0
1 2 2
0 1 1
10 8
4 2 1
4 3 0
4 1 3
3 2 4
3 1 1
2 0 3
4 2 2
4 1 0
3 1 3
1 4 0
10 2
2 1 0
2 0 2
1 1 2
2 0 0
0 0 2
2 2 1
0 2 0
0 1 1
2 2 2
1 0 0
10 6
2 1 2
1 1 0
2 0 0
2 1 1
0 1 2
2 0 2
1 2 2
1 1 1
0 0 0
2 1 0
10 7
3 1 4
1 5 2
4 4 1
4 3 5
1 3 5
5 1 0
2 5 0
0 0 1
3 0 3
4 2 5
10 7
0 2 3
1 2 4
2 1 2
1 1 1
2 0 0
2 3 3
1 3 1
1 3 3
1 0 1
3 0 3
10 5
1 1 3
0 3 2
2 1 0
0 3 3
2 2 3
3 3 0
0 2 0
1 0 0
1 3 1
0 3 1
10 3
1 2 4
2 2 1
3 4 2
4 0 0
2 0 0
0 0 1
3 2 0
2 0 3
1 1 1
1 3 3
10 9
0 1 1
0 1 3
3 3 0
3 0 0
0 3 2
2 1 3
1 2 2
3 0 3
2 3 3
1 1 0
10 5
3 3 2
1 4 3
2 1 0
5 5 1
3 3 0
3 0 4
4 3 1
3 2 3
0 1 4
5 2 2
10 9
1 3 1
1 0 0
0 2 2
1 3 3
4 0 3
2 1 2
0 0 3
4 4 4
4 2 0
4 4 0
10 7
0 2 0
4 4 5
1 4 5
4 1 4
4 0 0
1 5 4
0 3 1
3 2 0
2 2 3
5 3 5
10 2
0 1 4
4 3 2
1 3 4
4 4 2
1 3 3
4 1 1
0 4 1
1 4 3
1 0 1
4 1 4
10 3
1 1 2
2 2 0
2 1 1
1 0 1
0 0 2
1 0 2
2 1 0
2 2 1
0 0 1
1 1 1
10 5
3 2 1
1 3 0
0 0 0
1 4 4
4 2 1
4 1 4
1 0 4
4 1 3
2 4 4
0 3 4
10 9
3 1 0
2 4 2
1 1 0
2 0 4
2 4 3
4 2 3
3 1 3
4 1 0
2 2 2
2 0 1
10 3
0 2 2
1 0 0
0 1 0
1 0 2
2 0 1
0 0 2
0 1 1
2 3 0
2 1 0
1 3 1
10 2
2 2 2
1 3 0
4 0 1
4 4 2
0 3 3
0 0 2
3 0 4
3 0 0
1 3 3
2 0 0
10 8
2 1 4
0 3 3
5 1 1
1 0 2
0 2 0
5 2 2
4 3 0
2 3 3
4 1 2
5 3 3
10 5
1 4 5
3 1 4
5 3 4
2 3 4
1 3 1
2 3 1
5 1 5
2 0 2
4 2 0
3 3 5
10 7
2 2 0
0 1 0
0 2 1
0 2 2
2 2 2
0 1 2
1 3 0
0 0 3
3 1 0
0 3 2
10 7
5 3 1
5 5 2
3 5 0
1 1 1
2 1 5
4 1 5
3 3 0
2 4 0
1 1 3
1 0 1
10 6
0 1 4
3 4 0
1 0 3
4 2 4
5 2 5
5 5 3
1 2 2
2 4 0
4 1 5
1 3 5
10 6
2 1 0
1 0 3
3 2 0
2 3 2
1 2 3
3 1 3
1 3 1
2 2 0
2 2 1
0 1 2
10 7
1 4 4
1 2 1
4 3 2
3 1 0
3 0 4
1 2 2
2 3 2
0 2 0
4 0 1
2 3 0
10 4
0 1 4
1 0 4
5 0 4
0 4 0
3 4 3
0 5 1
0 3 0
2 3 3
2 4 4
4 5 1
10 5
5 2 5
4 1 5
1 2 3
2 0 3
1 3 3
5 2 2
5 2 1
2 2 3
0 4 1
2 3 3
10 9
4 4 3
5 5 0
3 5 2
2 1 3
4 1 3
1 2 3
4 1 4
3 3 2
0 2 3
5 2 4
10 4
2 2 3
3 2 0
2 1 0
3 0 0
1 0 2
0 0 2
0 2 2
2 0 1
2 2 2
0 2 0
10 7
5 0 5
4 1 1
4 4 4
0 1 5
1 3 1
1 1 0
2 5 5
4 3 0
1 3 0
0 4 1
10 5
3 3 2
0 1 3
3 1 1
2 1 1
3 3 3
2 1 3
0 1 2
3 2 0
1 1 0
2 0 0
10 8
1 2 1
2 2 3
3 1 0
3 1 2
0 0 2
2 1 2
1 3 0
3 4 2
4 2 1
4 1 1
10 6
0 2 2
2 1 1
1 1 2
0 1 2
1 2 0
1 0 2
2 0 2
1 1 1
0 0 1
2 1 0
10 7
2 1 5
5 3 2
3 0 2
0 3 2
1 5 4
5 0 4
3 2 2
0 4 3
0 2 0
3 2 3
10 8
4 3 1
2 3 0
0 1 0
1 0 1
2 4 0
2 1 3
0 0 3
0 4 0
3 2 0
1 3 4
10 2
2 2 1
1 0 0
0 0 0
2 0 2
2 1 1
1 2 1
1 1 0
0 2 0
2 1 2
2 1 0
10 6
3 3 3
5 5 5
5 0 2
1 4 5
3 2 4
4 2 3
2 2 2
5 5 4
5 3 2
0 2 1
10 4
3 0 0
1 2 3
2 1 3
2 0 0
3 0 2
2 1 0
2 3 0
1 1 3
2 0 1
2 2 2
10 9
0 2 2
1 2 1
0 1 1
4 5 4
5 1 1
5 1 4
2 5 2
3 2 3
4 1 3
2 4 3
10 4
2 2 3
1 2 3
1 3 0
2 3 3
3 2 3
1 3 2
1 3 3
2 3 2
3 3 1
3 3 3
10 3
4 0 3
0 2 1
1 0 1
0 1 0
2 3 1
4 2 2
4 4 3
4 1 0
0 3 4
3 3 1
10 7
0 3 1
2 0 2
1 0 0
1 0 2
1 1 3
0 3 3
3 1 3
2 3 3
2 2 3
0 2 2
10 5
1 5 4
3 1 1
0 4 4
1 5 2
5 0 4
4 2 2
3 0 5
0 0 3
1 5 5
2 1 4
10 8
0 3 4
4 0 4
1 3 3
0 3 2
3 1 1
2 4 2
0 3 0
1 2 1
2 1 4
2 2 1
10 3
0 5 0
1 2 1
3 5 2
3 2 2
5 1 0
2 5 2
2 1 0
2 0 4
2 3 1
2 5 3
10 3
2 5 2
2 3 2
5 0 4
2 4 3
1 3 4
1 1 5
1 5 2
3 0 2
0 1 3
3 4 3
10 7
3 0 3
3 4 3
3 3 1
1 3 2
2 3 1
0 1 2
2 5 5
5 3 5
5 2 4
3 4 2
10 5
3 2 0
4 2 3
2 0 4
2 4 3
2 4 4
4 4 2
2 1 3
2 3 3
3 3 4
3 1 0
10 2
2 0 1
1 2 2
0 3 0
2 1 1
3 0 2
2 2 0
0 3 3
3 1 3
0 0 1
2 0 0
10 5
0 1 2
3 0 3
2 1 2
0 0 2
0 1 0
2 1 1
3 2 0
3 1 1
1 3 0
1 3 2
10 6
2 0 0
1 1 1
2 2 0
0 0 1
2 0 3
3 3 2
3 1 3
2 2 2
0 1 1
2 3 0
10 7
1 0 0
3 1 1
3 1 3
0 1 2
3 2 1
2 1 2
2 2 2
2 0 3
2 2 3
2 3 2
10 2
4 0 1
2 3 1
3 2 1
0 0 1
3 3 3
0 0 0
4 0 3
4 1 3
0 4 1
2 0 3
10 5
5 1 1
2 2 3
4 0 0
4 2 1
0 0 2
3 3 2
0 2 0
3 5 3
0 1 0
2 0 0
10 2
0 3 0
3 3 0
1 2 3
1 1 1
2 2 0
4 3 0
0 1 2
1 2 4
4 1 0
4 2 4
10 4
0 1 2
1 0 1
0 0 0
1 2 2
2 2 1
1 0 0
0 0 1
2 0 2
2 2 2
2 1 2
10 5
1 0 3
2 3 2
0 2 1
1 1 2
2 0 1
0 2 3
0 3 2
1 2 2
0 3 0
2 2 2
10 8
2 2 2
2 5 2
5 2 3
4 2 5
1 1 0
0 2 0
5 0 2
0 1 5
2 2 1
2 0 1
10 6
3 2 3
0 2 3
0 0 1
3 3 1
2 0 3
1 3 0
0 3 1
1 1 0
1 3 2
1 0 3
10 4
4 3 0
3 0 1
0 2 4
3 0 4
1 1 0
1 0 2
1 1 4
3 2 1
0 4 1
2 0 2
10 5
5 0 4
1 0 3
0 4 0
1 0 1
0 5 0
5 2 2
2 5 0
1 1 0
3 1 4
5 0 2
10 2
2 2 1
1 0 0
2 1 0
0 0 1
2 2 0
0 1 1
0 2 2
0 2 0
1 2 2
0 0 2
10 2
0 3 1
5 5 0
1 5 5
3 5 5
2 0 3
4 1 2
3 3 4
5 1 3
2 2 4
0 1 1
10 9
0 0 1
2 2 0
0 1 0
1 0 0
0 2 1
2 1 2
0 2 0
1 1 1
1 2 0
2 1 0
10 5
1 3 3
1 4 1
5 2 3
4 4 2
3 0 2
2 4 1
4 2 4
2 3 0
4 4 1
4 3 0
10 2
0 4 4
3 2 2
0 2 3
3 4 3
1 2 3
3 4 2
1 2 0
4 0 1
1 4 1
0 1 3
10 7
2 2 1
0 0 2
2 1 2
0 1 0
2 0 1
0 1 1
2 1 0
1 1 1
0 2 0
0 2 1
10 8
1 2 0
0 1 0
2 0 0
0 2 2
1 0 2
1 2 1
1 2 2
2 0 2
2 2 0
0 2 1
10 2
0 1 0
2 2 0
2 0 2
2 0 1
0 1 1
1 2 1
0 2 1
1 1 0
0 2 2
0 0 1
10 9
1 1 2
2 3 3
2 0 1
1 1 0
0 0 2
1 0 2
1 3 0
1 2 1
1 2 2
1 1 3
10 5
2 1 1
1 2 0
0 0 0
1 2 1
2 2 2
0 1 1
2 0 1
0 2 1
1 0 2
1 1 1
10 2
3 4 2
3 3 3
4 0 0
2 1 1
0 2 4
0 4 3
4 4 3
3 2 1
1 2 4
3 2 3
10 5
5 5 2
2 0 0
4 2 3
3 3 4
1 3 2
0 3 3
3 3 0
0 3 0
1 5 3
4 3 3
10 8
1 1 2
4 4 0
0 3 2
4 2 4
4 0 0
3 1 4
0 4 3
4 1 1
0 3 4
2 1 0
10 5
0 3 0
2 0 2
0 0 1
0 2 0
3 2 3
0 3 1
1 2 1
0 0 0
2 1 1
1 0 3
10 3
3 4 4
1 0 4
0 1 0
1 1 3
0 2 0
4 0 4
3 1 4
3 4 2
1 4 2
2 2 1
10 6
0 5 4
1 2 2
1 2 5
3 0 2
0 0 0
4 0 2
4 3 5
0 1 1
2 3 2
5 1 4
10 6
4 5 2
4 1 3
3 2 0
2 5 5
4 2 3
5 5 1
3 3 3
3 5 0
5 3 3
3 4 3
10 2
1 1 2
1 2 1
0 0 0
1 0 2
0 2 0
0 0 1
2 1 1
1 2 2
2 1 2
0 2 2
10 9
5 2 2
4 4 4
4 3 5
4 5 1
1 1 0
3 4 3
3 4 2
5 3 4
2 1 3
5 2 4
10 3
2 0 2
3 0 2
0 1 0
0 1 3
2 0 4
2 1 1
0 0 2
0 0 0
0 3 1
3 1 4
10 5
0 3 0
1 3 3
1 4 0
3 4 4
1 1 0
4 1 3
0 1 1
3 0 0
3 3 0
4 3 2
10 7
0 0 0
0 2 0
2 0 0
1 2 0
0 0 1
1 3 2
3 2 1
3 3 0
1 2 2
3 3 2
10 2
1 3 1
2 1 3
0 2 2
1 1 2
3 0 3
3 1 0
0 3 2
3 2 1
3 0 0
2 2 0
10 3
2 1 0
0 1 2
2 0 0
1 2 2
0 0 1
1 1 2
0 2 1
2 0 2
1 0 2
1 1 0
10 8
0 2 2
2 1 1
2 0 2
0 1 0
0 0 0
1 0 0
1 1 2
0 0 2
0 1 2
1 0 2
10 8
0 1 1
0 0 1
1 0 2
2 2 0
2 0 1
1 2 2
0 2 0
0 0 0
1 2 0
1 1 2
10 3
0 1 2
0 0 3
1 0 2
3 3 2
3 3 0
2 1 3
0 2 2
3 3 1
2 3 0
3 0 3
10 9
1 1 1
2 2 2
2 1 0
0 1 1
0 0 0
1 0 2
0 0 1
2 2 0
2 0 0
2 1 2
10 8
0 0 0
2 0 1
1 2 1
0 4 3
3 4 2
3 4 3
2 2 2
1 2 3
1 2 0
4 2 4
10 9
2 4 0
4 0 4
2 3 3
2 0 0
4 1 2
2 3 4
0 1 4
0 3 4
3 3 1
2 0 4
10 7
0 2 1
2 2 1
3 2 2
2 0 3
2 3 2
0 3 3
2 0 1
3 0 2
3 2 1
3 0 1
10 4
0 1 4
4 2 3
1 4 4
3 4 4
1 0 4
4 0 3
3 1 0
3 3 2
3 1 1
0 3 2
10 9
4 2 3
3 0 0
0 3 1
2 3 4
3 0 4
0 4 1
4 1 3
3 4 2
3 3 2
2 4 2
10 8
4 1 4
0 0 0
3 0 4
3 4 4
3 2 2
0 4 0
4 3 2
2 2 4
3 3 1
4 4 1
10 6
1 2 2
1 0 2
3 2 3
3 1 2
1 0 0
3 2 1
3 3 0
2 2 2
0 1 3
1 3 3
10 8
2 3 0
3 2 2
3 2 3
0 1 2
3 1 3
0 0 2
2 1 1
3 0 1
2 3 3
0 2 1
10 9
1 3 4
4 5 0
5 2 1
4 5 1
5 4 1
2 5 3
5 1 4
0 5 2
2 0 0
0 3 5
10 5
2 1 2
1 1 1
0 0 1
2 2 0
1 1 2
2 2 2
0 1 0
0 2 2
1 0 1
0 1 1
10 8
3 4 5
5 2 4
1 1 4
3 5 3
0 5 3
4 2 5
2 1 4
3 1 4
4 5 2
0 0 1
10 2
0 1 0
2 5 4
2 4 2
3 0 0
4 5 0
2 1 5
1 5 1
5 0 4
3 5 2
3 3 2
10 4
0 2 4
3 1 4
0 1 1
0 3 4
3 3 3
1 4 3
0 4 4
2 4 2
2 3 0
3 0 0
10 7
1 1 0
2 0 3
3 3 2
0 0 2
3 3 0
2 3 2
0 2 0
3 3 1
3 2 3
3 0 0
10 4
4 4 4
1 4 2
4 0 4
0 0 1
2 3 0
2 3 3
2 4 3
2 2 3
3 1 4
0 2 0
10 8
0 0 0
3 0 1
0 1 0
0 1 3
2 1 3
1 2 1
3 1 0
2 3 0
3 1 2
0 1 2
10 3
4 4 2
0 4 0
3 0 2
0 3 0
4 2 0
3 0 4
5 0 5
3 5 3
0 5 3
1 1 5
10 5
2 2 0
2 1 1
2 1 2
0 2 0
1 1 1
0 2 1
2 2 2
2 0 0
1 2 2
0 1 1
10 5
1 4 4
3 1 2
1 2 5
2 4 2
4 0 4
4 1 4
2 2 1
0 2 2
3 5 0
5 0 3
10 9
3 4 0
4 1 4
0 1 0
3 3 3
2 1 4
0 3 4
2 2 4
1 2 3
2 3 2
4 3 1
10 8
3 2 2
2 4 2
1 2 4
2 0 4
0 3 3
4 4 0
3 0 2
0 4 1
0 3 0
0 4 0
10 3
1 1 0
1 2 1
1 1 1
0 0 0
1 0 1
2 2 2
2 0 2
0 2 0
2 0 0
0 2 2
10 8
1 1 3
0 3 3
1 3 2
2 0 2
3 0 0
2 3 2
1 1 1
3 0 2
1 0 1
3 3 1
10 7
0 5 3
3 5 0
2 3 3
3 5 5
2 0 0
2 3 1
5 3 1
0 2 3
3 2 0
5 0 5
10 7
0 4 2
4 1 3
3 0 4
5 1 4
0 3 4
3 2 0
4 4 2
5 3 4
0 5 5
0 0 0
10 6
0 1 2
2 1 1
0 0 2
0 0 0
0 1 0
1 0 1
2 1 2
1 2 2
1 0 0
0 1 1
10 7
2 2 2
2 1 1
1 0 1
2 0 2
2 2 1
1 1 0
0 1 1
1 1 1
0 2 1
2 1 0
10 4
3 2 1
3 1 2
2 2 3
3 3 1
1 0 2
1 3 0
2 0 0
2 0 1
0 0 2
2 2 1
10 7
2 1 0
0 2 1
1 2 0
2 0 1
1 2 1
2 1 1
0 0 1
2 2 0
1 0 2
2 2 2
10 2
5 2 1
3 5 1
3 4 4
2 1 2
2 3 3
2 1 1
5 1 4
2 0 0
3 5 3
2 4 4
10 4
3 2 3
2 4 3
1 3 3
0 3 3
2 2 0
1 4 3
3 1 1
2 0 0
0 1 2
4 1 3
10 2
2 3 3
3 2 2
3 1 3
3 0 3
3 3 3
0 1 3
0 2 3
1 2 2
2 1 1
3 0 0
10 9
2 3 0
3 3 4
1 3 2
0 1 3
2 2 2
3 2 4
3 1 4
4 3 3
3 0 2
3 2 3
10 8
1 3 0
0 2 1
0 3 1
1 2 1
0 3 3
1 2 0
0 1 2
3 2 3
3 1 1
1 3 2
10 2
1 1 0
2 1 0
0 1 0
0 2 1
0 0 2
0 0 0
1 2 0
2 1 2
2 2 1
0 1 2
10 5
1 3 2
4 0 1
0 4 4
3 0 3
1 1 3
2 0 3
2 3 4
0 1 0
2 2 0
4 1 2
10 2
2 2 2
1 0 2
2 0 0
1 1 2
0 1 0
1 2 2
1 0 1
1 2 1
0 2 2
2 2 0
10 5
5 0 5
4 0 5
3 0 2
4 2 5
5 3 4
3 3 2
5 5 2
5 3 1
1 4 5
3 4 1
10 7
3 1 1
1 0 3
1 1 3
0 2 1
3 2 2
3 0 0
1 2 1
0 2 2
3 2 0
1 3 3
10 6
0 3 4
2 0 1
3 1 1
5 2 4
1 1 3
3 2 0
1 5 3
0 1 1
1 1 5
0 3 0
10 9
3 3 3
4 0 3
0 1 4
2 4 1
4 0 0
2 2 1
0 4 4
2 1 1
0 3 1
4 2 0
10 7
1 1 2
1 1 0
2 0 0
0 2 2
0 0 2
2 1 1
0 1 2
2 2 1
2 1 0
1 2 0
10 3
3 3 0
3 3 1
0 3 0
1 1 2
0 1 3
1 1 3
0 0 3
0 2 3
2 3 0
2 1 3
10 3
3 2 2
2 1 0
2 3 0
2 2 0
1 2 1
2 0 3
3 1 2
0 2 0
3 2 3
3 2 0
10 8
0 3 2
1 0 2
3 0 1
1 1 1
0 0 3
1 3 1
3 0 3
3 1 2
0 3 0
0 2 3
10 5
3 1 0
2 3 0
2 1 3
3 3 1
3 2 1
1 0 2
0 3 3
1 3 2
2 2 1
1 0 1
10 5
4 5 4
1 5 0
5 0 1
2 3 4
0 3 5
2 1 5
2 3 1
3 0 4
2 0 4
0 5 0
10 8
1 0 1
4 0 0
3 4 2
3 4 3
0 3 0
4 2 3
1 3 0
1 2 4
4 2 0
2 0 2
10 5
4 1 1
4 0 4
3 3 2
1 2 4
0 4 0
1 2 2
2 3 1
4 2 1
0 2 3
3 4 3
10 9
0 1 2
1 1 1
2 1 2
2 0 0
1 2 0
0 0 0
0 1 1
1 1 0
0 2 2
2 1 1
10 3
2 0 0
2 2 1
0 1 0
2 2 0
0 0 0
2 1 0
1 2 2
0 0 2
0 2 1
0 2 2
10 9
0 0 4
2 2 3
1 0 2
4 2 3
1 1 2
2 3 2
1 3 2
1 2 1
2 1 1
3 3 4
10 8
2 2 0
0 1 1
1 1 2
0 0 2
1 0 1
2 1 1
2 1 2
0 1 0
2 0 2
1 1 1
10 7
2 0 0
2 2 2
2 1 1
0 0 1
0 2 0
1 0 0
1 1 2
2 2 1
0 1 0
0 0 2
10 5
4 2 4
2 1 4
4 4 0
0 1 0
0 0 5
4 0 4
5 2 0
2 3 5
0 5 2
1 5 3
10 9
2 2 3
2 2 1
2 0 0
2 0 1
3 0 0
3 2 0
1 3 0
0 3 0
3 3 3
2 2 0
10 9
2 2 3
1 1 1
3 0 0
3 1 2
2 2 2
0 2 2
2 1 3
0 1 3
1 3 3
3 3 0
10 3
5 3 0
5 5 1
0 5 0
4 1 2
4 1 3
1 4 0
0 1 3
2 1 1
3 2 5
5 4 3
10 5
1 0 0
3 0 0
1 3 3
3 1 5
2 5 3
5 0 5
2 5 5
5 1 3
3 2 3
5 5 5
10 5
2 1 1
2 2 0
2 2 2
3 0 2
0 0 0
3 2 1
2 0 0
2 3 3
1 1 1
1 2 2
10 8
1 2 2
3 2 0
1 1 0
2 0 0
1 1 1
1 3 3
3 0 2
3 1 3
0 3 0
1 1 2
10 5
1 1 0
1 0 0
2 0 0
2 1 0
0 0 2
0 2 0
1 1 2
0 2 2
0 1 1
0 0 0
10 6
1 0 2
0 1 0
2 1 2
2 0 1
2 2 1
2 2 0
1 2 1
1 0 0
2 0 0
0 1 1
10 7
1 0 2
0 1 0
0 2 0
1 1 0
3 0 1
2 1 4
2 4 1
1 0 1
2 0 3
2 4 4
10 6
3 2 1
0 0 2
1 0 3
2 2 0
1 1 1
1 3 0
0 2 2
2 0 0
3 2 0
2 2 2
10 4
1 1 3
3 3 3
2 3 1
3 2 0
2 3 3
0 3 3
2 1 0
1 1 2
1 2 0
1 3 0
10 8
0 0 1
2 0 1
4 4 3
0 4 1
1 4 2
1 1 2
2 1 2
1 4 4
0 0 4
4 2 1
10 3
2 3 3
2 3 1
0 1 0
0 2 3
2 2 2
2 2 0
1 1 2
0 1 2
3 3 2
0 1 1
10 8
1 4 3
4 0 2
2 4 0
5 1 5
5 2 1
5 0 3
1 1 0
0 4 1
2 5 2
2 0 1
10 8
0 3 3
3 3 2
1 2 3
1 3 0
3 1 0
3 2 3
0 3 1
2 0 0
2 1 3
0 1 0
10 9
4 1 1
2 3 2
0 3 1
2 3 1
1 0 2
0 3 2
3 1 3
3 0 0
4 4 1
3 2 2
10 3
4 2 1
2 2 4
4 4 3
3 0 3
2 4 1
0 4 2
3 1 4
2 2 3
3 4 1
1 2 1
10 4
4 1 5
2 1 1
1 0 1
0 3 2
5 0 4
1 4 5
5 5 2
5 1 3
3 5 3
1 0 5
10 7
1 2 4
1 0 0
0 0 3
4 0 2
2 3 4
2 4 1
4 1 2
3 0 0
0 2 3
0 3 0
10 4
4 1 3
1 4 1
3 2 0
2 2 4
4 2 3
2 3 1
0 1 1
4 4 2
2 2 0
0 0 4
10 8
3 3 3
2 2 3
4 4 0
0 2 0
2 1 2
4 4 2
3 2 2
1 0 0
4 0 4
4 3 0
10 2
1 3 1
3 3 4
4 0 0
0 1 3
4 3 2
0 3 2
2 0 4
3 3 2
2 4 2
4 4 1
10 8
0 0 2
3 1 1
1 2 2
1 4 5
1 2 5
3 4 2
2 0 2
0 0 4
1 0 1
1 4 0
10 2
1 3 2
2 0 3
0 2 1
2 3 3
2 2 3
2 2 2
3 3 3
2 2 1
1 1 0
3 3 1
10 7
2 2 2
3 3 3
0 2 0
3 1 4
3 0 4
1 4 4
2 2 4
3 1 1
1 1 1
1 4 0
10 7
1 2 2
2 2 2
0 2 3
0 3 0
0 1 3
0 3 1
1 0 1
2 2 0
2 3 2
1 1 2
10 9
1 0 1
1 2 2
0 2 0
0 1 1
1 0 0
1 2 0
0 0 0
0 0 2
2 1 2
2 1 1
10 5
1 1 2
1 2 1
2 2 2
1 2 2
3 2 0
0 3 3
0 0 1
2 3 0
3 2 1
0 1 1
10 4
1 0 1
0 0 2
0 0 1
0 2 1
2 1 1
2 0 2
0 2 2
1 2 1
2 1 2
1 0 0
10 3
3 2 3
3 5 2
5 1 4
1 0 2
5 3 3
0 5 3
2 5 2
0 3 3
0 1 5
0 3 5
10 5
2 2 0
1 1 1
2 0 1
2 0 2
1 1 2
1 2 0
0 0 2
2 0 0
1 0 1
0 2 1
10 7
3 2 2
3 1 3
3 3 2
3 1 1
3 0 3
0 0 1
1 1 1
0 0 3
3 0 1
1 3 1
10 3
4 5 4
0 1 5
4 1 3
3 0 5
0 0 2
4 2 5
2 1 1
5 3 0
0 3 1
4 0 1
10 6
4 2 3
2 0 4
0 3 1
2 2 4
0 1 4
0 0 2
1 4 1
4 2 4
0 4 2
1 0 4
10 7
3 3 0
3 0 3
3 4 0
1 0 2
3 0 0
2 1 4
3 3 4
4 4 2
4 1 0
2 2 3
10 2
0 3 3
1 0 2
0 3 2
0 1 0
1 1 2
0 3 1
0 2 3
0 0 1
2 2 0
1 1 3
10 9
1 1 0
0 2 0
1 0 1
2 1 1
2 1 2
2 0 0
0 2 2
0 0 1
1 0 0
1 2 0
10 9
1 3 0
4 3 4
0 1 4
4 0 3
3 1 3
0 2 0
1 2 4
2 0 4
0 1 3
4 1 2
10 9
3 0 0
4 1 4
1 1 4
3 3 3
0 3 2
0 3 1
3 1 0
2 1 1
0 3 3
3 0 1
10 3
2 1 0
1 1 3
2 0 0
1 3 3
0 0 3
2 2 0
3 1 2
1 2 3
2 3 2
0 2 1
10 9
1 2 1
5 5 5
4 4 2
3 3 0
4 2 4
0 5 0
3 4 1
1 2 0
2 5 0
3 1 1
10 6
3 0 1
2 0 0
0 0 0
3 2 1
3 2 0
1 2 3
1 0 1
1 2 2
1 3 0
2 1 0
10 4
2 0 1
0 2 4
4 0 4
1 2 0
3 1 4
0 0 3
3 2 0
2 0 4
4 1 1
4 4 0
10 4
1 0 2
2 2 2
2 2 0
2 2 1
1 2 0
2 1 1
1 2 1
0 0 2
2 1 0
1 2 2
10 8
2 4 2
1 1 5
0 2 4
3 0 1
4 0 4
3 1 0
1 3 1
4 2 1
1 2 3
3 3 0
10 4
0 1 1
1 0 0
1 0 1
2 1 0
0 0 0
0 0 2
0 2 2
2 0 0
1 1 0
2 2 0
10 2
1 5 3
4 2 5
1 4 5
4 2 3
2 1 2
1 3 4
1 4 4
1 3 3
2 0 2
2 2 3
10 2
0 0 0
0 1 0
2 2 0
1 2 0
1 1 0
1 1 1
2 0 1
0 1 1
2 2 2
1 2 2
10 7
2 2 0
0 1 0
1 1 0
2 1 0
1 0 2
0 2 1
1 0 0
0 2 0
2 0 2
2 0 1
10 7
0 2 2
1 4 1
0 2 1
4 3 2
1 4 0
2 0 0
3 4 1
0 1 0
1 3 4
2 2 0
10 9
2 1 1
4 2 2
4 5 2
4 0 0
3 1 3
4 1 0
5 0 1
0 0 4
5 4 4
5 3 5
10 6
0 2 1
2 0 0
0 0 0
1 1 2
3 3 3
3 1 3
0 3 2
2 2 2
0 2 3
2 0 2
10 7
5 0 5
5 3 1
3 3 2
3 4 5
2 4 0
2 2 5
5 1 2
1 0 4
3 3 3
0 1 0
10 4
4 1 2
2 3 2
4 1 0
4 5 0
4 3 1
1 1 0
2 4 2
5 0 2
0 4 3
3 4 2
10 9
0 1 0
0 1 1
2 0 2
0 1 2
1 0 0
0 0 0
0 2 0
1 1 0
0 0 1
1 2 0
10 9
2 0 3
5 5 1
5 3 3
5 3 0
4 4 2
3 1 3
2 3 2
4 4 4
2 1 5
5 5 0
10 4
3 1 0
0 3 0
1 0 3
2 2 1
2 0 1
3 0 3
1 0 2
3 0 1
3 1 2
1 2 1
10 3
2 4 4
1 3 2
2 2 2
2 2 3
3 3 4
2 4 0
1 0 1
0 0 0
3 1 1
2 3 4
10 6
3 1 4
1 2 1
1 1 1
4 0 1
1 3 1
0 1 2
4 1 2
2 2 1
4 4 3
3 2 4
10 3
3 1 2
1 3 4
0 2 3
4 0 4
2 0 0
0 4 0
2 3 1
2 3 0
3 2 3
2 1 0
10 9
4 0 0
3 4 5
3 3 0
0 0 1
4 4 3
3 4 1
0 0 2
1 3 4
1 0 5
3 1 4
10 9
0 0 0
1 1 1
2 1 1
1 2 1
1 1 0
0 1 2
2 0 1
2 1 0
1 1 2
1 0 0
10 3
0 0 1
2 1 2
0 2 2
1 2 0
1 0 1
0 1 1
2 2 2
1 1 1
2 1 0
1 2 1
10 9
1 2 5
0 2 2
2 1 1
3 3 3
1 0 0
1 1 0
2 3 4
5 2 5
2 5 1
5 0 2
10 6
1 1 3
3 1 0
0 3 3
1 0 1
2 3 1
0 3 0
2 2 2
3 1 1
3 2 2
0 2 0
10 2
2 2 0
0 2 3
1 2 1
1 3 0
0 2 2
3 3 0
2 2 3
1 2 2
0 1 0
2 0 1
10 9
3 0 0
0 0 3
4 3 4
4 4 2
4 1 1
1 0 0
2 2 1
1 3 0
2 1 0
0 2 3
10 7
1 2 2
3 3 3
3 2 0
3 0 1
1 3 1
0 2 1
3 3 0
2 0 3
0 1 3
3 0 3
10 8
1 3 0
2 2 2
2 1 2
2 3 2
3 1 4
2 1 3
3 1 2
1 0 3
4 4 1
2 3 3
10 3
0 0 0
3 1 2
2 1 2
3 1 1
2 4 1
1 1 1
4 0 2
3 3 2
1 4 2
3 3 0
10 3
0 3 0
2 2 2
0 2 1
3 2 3
3 4 3
4 2 0
3 2 4
2 0 4
4 1 4
1 3 0
10 4
0 4 0
2 2 3
5 1 1
5 5 2
3 2 3
4 5 2
4 4 5
1 1 2
5 2 2
1 0 4
10 3
0 4 5
5 3 3
5 2 0
2 5 5
5 4 1
4 1 0
3 5 5
3 2 4
4 0 0
2 0 0
10 7
2 4 4
5 4 1
4 0 0
4 5 1
2 0 3
5 2 0
3 2 0
5 5 1
2 5 2
0 2 2
10 2
2 3 0
3 3 0
3 2 2
4 4 0
2 2 4
1 4 0
2 0 3
2 2 0
2 1 0
1 0 0
10 3
2 0 0
2 0 1
2 1 2
3 4 0
1 2 3
3 0 4
0 0 0
4 4 3
4 4 1
2 0 5
10 8
3 3 2
0 1 0
1 2 1
3 1 0
0 2 0
3 1 3
2 2 1
2 0 2
3 3 1
3 2 2
10 2
0 0 2
3 2 1
1 0 0
0 1 3
0 2 2
3 3 2
3 2 3
3 0 2
0 3 2
1 2 0
10 5
2 1 2
2 3 0
3 2 1
1 0 2
3 1 1
0 0 3
0 1 3
1 1 1
2 1 1
1 3 3
10 3
3 1 2
0 0 3
4 3 4
1 2 3
3 1 4
3 3 4
0 4 3
2 3 3
4 4 4
4 1 2
10 3
0 0 2
2 2 0
1 1 2
1 0 1
2 1 2
0 1 2
1 1 1
2 0 1
0 2 1
2 0 2
10 4
1 2 0
2 2 1
2 0 1
0 2 0
1 2 2
0 1 2
0 1 1
0 2 1
1 0 2
1 0 0
10 8
2 1 0
0 2 2
2 2 1
0 2 0
1 2 0
0 2 1
1 0 2
1 0 1
0 0 2
0 1 2
10 3
0 2 2
1 1 2
2 1 0
2 2 2
0 2 1
2 0 2
1 0 2
2 2 1
0 1 2
2 0 1
10 3
4 0 4
4 0 1
1 0 0
0 4 2
4 3 1
2 2 2
2 3 4
2 2 3
4 2 2
1 2 4
10 5
3 0 3
3 3 1
3 2 3
2 2 1
0 3 1
0 0 1
1 1 2
3 0 0
2 1 3
3 1 1
10 4
3 2 2
3 1 4
2 3 1
0 2 3
4 2 0
2 1 0
0 3 3
3 2 0
2 4 0
4 4 0
10 3
2 3 3
0 0 3
3 0 2
3 3 2
3 0 1
1 2 1
1 3 0
1 1 2
2 0 0
1 0 2
10 6
1 0 2
1 0 1
0 0 1
2 0 1
2 0 0
0 1 3
3 3 1
3 1 1
2 2 0
0 2 2
10 5
1 2 0
3 2 4
1 3 0
4 1 0
3 0 3
0 3 0
4 0 1
2 4 3
3 4 0
1 1 1
10 6
4 4 3
4 3 0
3 4 0
3 4 3
1 0 1
1 2 1
0 4 3
0 2 0
0 2 4
1 4 2
10 5
1 2 0
0 0 0
1 1 2
2 1 2
2 1 1
0 2 1
2 2 1
0 0 2
2 0 2
0 1 2
10 4
2 0 0
1 1 0
0 1 0
2 2 2
0 0 0
0 1 1
1 2 2
2 1 2
0 2 1
1 1 2
10 2
2 4 3
3 1 5
3 0 3
0 1 4
3 1 4
5 4 0
0 2 4
5 2 3
3 0 1
1 2 2
10 4
3 1 3
0 1 2
0 2 2
2 0 1
2 0 0
1 0 1
3 3 3
2 2 0
2 3 2
0 0 3
10 5
4 2 4
3 3 3
1 0 1
3 0 2
2 1 2
4 2 3
2 4 0
2 3 0
0 1 0
2 1 1
10 2
2 0 2
0 0 2
1 0 0
1 0 2
0 2 2
2 0 1
0 0 1
1 0 1
0 2 1
0 1 1
10 7
2 1 1
1 3 3
3 2 1
0 1 0
3 2 0
2 0 2
0 2 3
3 3 3
1 1 0
0 3 0
10 4
4 1 1
2 4 5
1 0 1
1 3 1
5 3 5
0 5 4
5 2 3
0 4 3
4 1 0
5 5 5
10 9
0 0 1
3 2 4
3 4 3
0 3 2
2 1 3
3 1 0
4 2 1
1 3 3
3 0 2
2 3 3
10 9
3 0 1
2 2 4
2 4 0
0 3 3
4 3 2
4 3 1
2 4 2
1 3 1
3 1 0
4 0 0
10 8
2 0 1
1 2 2
0 2 1
2 2 0
1 2 0
1 1 0
2 0 0
1 2 1
0 2 2
1 0 1
10 7
4 2 1
0 2 1
1 4 4
4 2 2
4 0 3
3 2 4
2 2 1
3 4 0
2 4 3
0 3 1
10 3
0 1 1
0 0 2
0 2 1
2 2 3
1 0 2
1 1 2
2 3 2
3 2 0
2 2 0
2 2 2
10 9
0 0 1
3 2 0
3 3 0
1 0 0
2 3 2
1 1 0
3 3 3
0 1 3
3 1 3
3 0 2
10 7
1 1 1
2 3 0
1 1 3
1 3 2
0 0 1
1 1 2
3 0 2
0 3 2
1 0 2
3 1 0
10 3
1 2 2
2 0 0
1 1 2
2 2 0
0 1 2
1 0 0
0 0 0
2 1 0
2 1 1
2 2 2
10 8
0 1 2
3 0 4
2 2 4
2 2 1
2 4 4
4 0 2
3 0 0
4 1 2
1 3 3
3 4 2
10 4
0 3 3
2 1 1
3 3 2
2 2 3
3 2 0
0 0 2
2 0 3
2 2 1
2 0 1
3 1 1
10 9
2 1 5
0 2 5
0 1 2
3 4 4
1 0 2
4 0 4
2 4 3
4 2 4
4 2 3
4 4 4
10 7
3 1 3
3 0 0
1 2 0
1 1 0
1 0 0
3 1 0
3 0 2
3 0 3
0 3 2
2 2 3
10 6
3 4 2
0 3 0
1 3 2
2 1 3
1 3 3
0 2 3
2 1 0
3 3 1
3 4 3
3 2 1
10 6
3 1 2
1 0 2
2 3 2
0 2 0
2 1 2
0 3 2
0 2 1
2 3 3
0 3 1
2 1 0
10 5
2 1 2
2 1 0
1 0 1
2 0 1
0 1 0
2 0 2
0 1 1
0 1 2
0 0 2
0 2 1
10 3
0 5 4
4 4 0
2 2 5
2 3 1
0 1 5
5 5 2
4 2 4
4 1 0
5 2 0
0 1 0
10 9
0 0 2
1 0 2
2 1 1
2 2 2
0 0 0
2 0 2
1 0 0
1 1 0
0 2 2
1 2 0
10 6
3 0 1
1 1 1
3 2 3
1 1 2
2 1 3
3 3 3
3 1 1
0 0 2
0 1 1
1 0 0
10 3
3 1 0
0 2 1
0 3 2
3 2 1
1 2 1
0 0 3
1 3 3
2 0 1
3 3 1
1 0 1
10 8
2 1 0
5 3 1
4 3 2
5 0 5
4 1 5
1 0 4
5 0 2
0 3 3
4 4 4
2 4 4
10 7
0 0 0
5 3 2
4 1 4
3 2 0
4 2 1
3 3 4
5 4 1
3 0 5
4 0 2
4 5 0
10 7
0 0 2
2 1 1
1 2 0
0 3 1
0 1 3
2 0 0
2 3 3
3 3 0
1 3 1
0 2 2
10 2
4 5 3
4 1 2
0 3 3
1 4 4
3 3 1
3 5 0
0 1 5
0 1 3
3 1 0
2 5 5
10 7
3 3 3
0 1 2
0 1 3
2 1 3
2 1 4
4 3 1
4 0 4
0 4 3
1 3 1
2 3 2
10 5
1 3 3
2 2 2
1 3 1
0 0 3
2 3 2
3 3 3
3 1 2
1 2 2
0 3 2
1 3 0
10 2
3 4 3
2 3 5
2 4 4
0 2 0
2 4 0
1 1 0
3 0 0
2 3 0
4 3 4
0 0 4
10 3
4 0 4
2 4 4
1 3 0
3 4 0
0 2 2
1 2 0
1 4 2
1 0 1
2 2 1
1 2 1
10 5
0 0 0
0 1 2
0 2 1
1 0 0
2 2 0
1 0 1
1 2 0
0 2 2
0 2 0
1 2 2
10 8
2 2 4
2 0 3
2 3 0
4 3 0
0 4 2
3 4 4
0 1 4
3 4 0
0 4 4
2 4 1
10 7
5 0 4
4 0 5
0 3 0
1 0 5
3 1 1
5 2 5
3 0 2
3 2 1
1 3 2
2 0 5
10 2
2 0 1
4 3 0
3 1 2
0 1 0
4 3 2
4 4 2
3 2 1
2 4 3
3 3 1
1 2 4
10 4
1 0 5
0 0 2
5 5 3
4 0 5
2 5 5
4 0 0
4 4 3
3 0 2
1 1 1
1 0 4
10 6
5 0 2
5 1 3
2 0 0
5 0 5
3 4 2
0 2 1
0 2 0
2 4 1
5 5 4
3 0 1
10 3
0 3 2
4 3 1
4 2 2
3 2 3
1 3 1
3 2 0
4 0 3
3 3 4
0 1 2
1 0 0
10 2
0 2 0
0 2 2
1 2 0
1 2 1
1 1 0
0 0 0
0 2 1
0 1 0
0 0 1
2 0 1
10 8
1 0 0
2 1 1
3 3 3
0 2 1
2 2 2
0 3 1
2 3 3
2 1 3
3 3 0
0 2 3
10 4
3 2 2
2 2 0
0 3 1
0 3 2
0 1 2
2 3 3
2 0 0
1 1 1
1 2 0
2 3 1
10 5
1 2 2
1 2 0
5 0 1
2 5 4
2 0 0
1 0 3
5 3 3
5 3 5
4 4 1
4 3 4
10 5
0 0 1
2 1 1
1 3 1
1 0 3
3 2 2
0 1 3
0 3 0
2 0 0
2 0 2
0 0 3
10 3
1 2 2
1 1 3
1 0 1
0 2 3
3 2 0
1 2 0
2 0 0
0 1 0
2 1 0
3 3 2
10 5
5 0 0
3 0 0
4 4 0
4 1 0
0 2 2
1 5 1
3 1 1
2 4 4
4 5 2
2 1 0
10 5
4 3 1
0 0 3
0 1 0
4 0 3
3 4 2
4 1 2
3 0 0
4 1 4
4 0 1
2 1 0
10 9
1 0 1
2 1 2
1 0 0
2 1 1
0 1 1
0 1 2
0 0 2
2 0 2
1 2 0
1 0 2
10 5
2 3 4
2 1 1
1 1 4
4 1 1
2 4 0
2 1 2
1 0 1
4 0 3
4 3 3
3 2 2
10 6
2 0 2
2 2 2
0 2 0
2 0 0
1 2 1
2 2 0
1 2 2
2 2 1
2 1 0
0 2 2
10 5
4 3 0
4 1 1
4 1 2
5 5 4
5 2 5
1 3 4
0 3 4
2 1 3
0 4 5
5 0 4
10 2
1 3 1
2 0 0
1 3 0
2 2 0
3 1 1
0 2 2
2 1 0
0 2 0
2 3 2
1 1 3
10 8
2 1 0
1 2 2
1 1 2
2 0 1
2 2 0
1 1 0
0 1 0
1 0 0
1 1 1
2 2 1
10 6
1 3 0
2 1 0
2 2 2
0 0 2
3 1 2
0 0 0
0 3 3
3 0 1
1 1 1
2 1 2
10 9
2 0 0
2 2 1
1 2 0
0 0 2
0 0 0
1 2 1
0 2 0
1 0 1
1 0 0
0 1 0
10 9
4 5 0
3 2 2
3 2 0
5 1 0
2 4 0
3 4 0
0 4 2
3 4 5
5 1 4
2 3 2
10 8
1 2 0
1 2 1
0 2 1
0 0 2
0 0 0
2 0 2
1 0 1
1 2 2
2 2 2
0 1 0
10 8
0 4 4
3 0 4
3 2 3
4 4 3
4 1 3
1 1 2
2 4 4
1 0 1
0 3 4
2 0 3
10 4
0 0 0
2 2 4
0 3 0
2 3 2
3 3 4
1 4 4
2 4 4
0 2 1
3 4 3
2 1 4
10 6
1 2 0
1 1 1
0 0 2
0 1 2
1 2 1
1 1 0
0 0 0
2 0 1
2 0 0
0 2 0
10 2
2 1 5
0 1 1
3 5 4
4 5 4
4 0 3
3 0 3
1 2 2
5 1 3
3 2 0
4 4 5
10 4
2 4 3
0 2 0
4 2 0
5 4 0
3 3 5
4 5 2
4 5 0
2 2 4
4 1 1
4 4 4
10 2
3 3 2
1 4 0
0 5 2
4 2 0
4 2 5
1 3 1
2 0 3
0 4 3
5 0 1
5 0 4
10 6
0 0 2
1 0 1
1 2 0
2 0 2
0 2 1
2 1 2
0 0 1
0 1 1
1 1 2
1 1 1
10 5
2 2 0
3 1 4
0 1 0
0 2 2
2 4 1
4 0 2
0 1 2
4 1 0
4 4 1
3 2 4
10 8
0 3 3
3 5 1
1 5 2
1 4 4
0 0 2
0 1 0
3 1 2
0 1 5
4 4 1
1 4 1
10 9
0 2 1
3 2 3
2 2 1
2 3 1
0 3 1
1 3 2
1 3 1
1 1 0
1 2 2
1 2 3
10 9
3 4 2
3 2 1
2 2 3
2 2 2
0 3 1
3 4 1
4 3 0
0 0 4
4 0 1
1 1 0
10 3
2 2 1
1 0 2
0 0 2
0 0 1
2 0 1
0 2 0
0 1 0
2 1 1
2 0 0
1 0 1
10 7
3 3 3
1 2 1
0 2 1
4 3 1
0 0 2
0 4 1
4 4 4
1 4 1
0 1 2
3 1 4
10 3
3 4 0
0 2 2
1 2 5
5 0 5
5 0 2
0 2 1
5 4 4
2 2 4
2 4 1
0 3 3
10 2
3 5 2
3 4 2
0 1 3
2 5 3
2 3 1
2 4 3
4 1 2
1 2 0
1 2 2
4 5 4
10 9
1 3 4
2 3 3
2 2 0
4 4 1
2 2 2
4 3 1
2 4 3
0 1 4
4 0 0
4 3 4
10 7
0 2 0
0 1 1
2 1 2
1 2 0
0 1 0
1 1 2
2 2 2
2 0 1
0 1 2
0 2 2
10 9
3 0 2
3 4 4
1 2 2
2 4 2
2 3 1
3 1 0
1 3 4
1 0 4
2 0 0
2 2 1
10 7
2 0 0
2 2 3
0 2 2
0 1 0
3 3 3
1 2 3
3 2 2
3 3 2
1 3 1
3 3 0
10 4
1 3 0
4 1 0
3 0 0
3 0 2
2 2 1
0 0 3
4 3 2
4 1 2
3 3 3
2 1 0
10 8
1 2 3
2 2 3
3 1 0
2 3 3
1 3 1
3 0 0
0 0 2
3 2 0
3 3 1
0 2 3
10 2
1 1 2
1 2 1
2 0 1
2 2 1
0 0 2
1 2 0
2 2 0
2 2 2
2 1 1
2 0 0
10 4
4 3 2
2 2 0
1 3 4
1 2 2
4 3 1
2 0 0
4 3 3
0 4 0
3 4 3
2 2 3
10 6
2 2 0
0 1 2
0 0 0
0 2 2
0 1 0
0 0 1
2 1 0
1 1 1
2 2 2
1 2 1
10 5
0 4 4
0 1 0
2 5 1
5 5 5
3 0 2
4 2 2
3 5 3
3 4 1
2 0 3
2 2 1
10 2
3 3 2
4 5 1
3 4 1
3 0 5
2 3 4
1 0 0
1 0 1
0 3 1
4 4 0
2 1 0
10 6
1 4 0
0 3 3
5 0 5
5 5 1
4 3 2
2 2 3
4 0 1
5 4 5
2 1 5
3 2 4
10 6
2 0 1
0 3 3
2 0 3
0 1 0
2 1 1
0 0 3
2 1 3
1 1 1
0 0 2
3 0 0
10 9
3 2 3
0 4 4
2 4 2
1 3 4
1 3 2
1 2 1
1 3 3
0 1 3
0 3 1
0 3 2
10 7
1 3 4
0 2 1
2 4 1
2 3 2
3 3 2
3 4 3
0 1 0
3 3 0
1 4 1
4 2 3
10 8
0 0 2
2 0 1
2 3 3
3 2 1
1 0 0
0 4 2
4 4 0
4 3 3
3 0 0
3 4 2
10 3
3 0 0
1 3 0
2 2 3
1 1 3
2 0 2
1 0 0
1 2 0
1 3 1
3 1 1
1 0 2
10 2
0 3 3
4 2 3
4 0 5
0 5 2
1 1 5
0 1 4
4 3 3
5 4 5
0 2 5
4 1 4
10 5
2 2 0
2 2 1
1 1 2
2 1 0
1 1 1
0 1 0
2 2 2
1 0 1
0 0 0
0 1 1
10 6
1 4 4
0 0 3
0 2 4
1 0 4
2 2 3
4 4 3
4 0 1
3 0 1
2 4 1
2 3 3
10 5
2 4 1
3 0 0
3 1 0
2 3 0
1 4 4
3 0 3
2 1 2
3 3 0
0 4 1
4 2 3
10 7
2 1 2
2 1 4
1 1 4
4 1 4
4 0 0
2 3 2
2 0 0
4 2 4
0 3 2
2 2 3
10 4
2 3 1
0 3 0
1 2 3
2 3 0
3 2 1
0 2 2
2 0 0
2 0 3
3 2 3
0 0 3
10 8
0 0 1
1 0 2
2 0 1
2 1 2
2 2 0
2 1 1
1 0 0
0 2 2
0 1 2
1 1 1
10 7
0 4 3
1 3 2
4 1 2
2 0 3
1 1 0
4 1 3
2 2 3
0 4 4
1 4 4
4 3 4
10 2
1 2 2
3 1 1
1 0 0
0 3 0
3 1 0
2 1 0
0 1 0
3 1 3
3 0 3
2 3 0
10 5
0 0 0
0 1 0
2 1 2
1 2 1
1 2 2
1 1 2
1 0 1
1 1 0
1 1 1
1 0 0
10 3
0 0 1
1 0 1
0 2 1
0 1 2
1 0 0
0 0 2
1 2 2
1 2 0
2 1 0
2 0 2
10 9
2 1 0
0 2 2
1 0 1
1 1 0
1 1 2
0 1 2
2 2 1
1 2 1
1 2 2
1 2 0
10 6
1 5 1
5 5 4
0 0 2
5 2 1
0 1 0
2 4 5
4 0 4
3 2 5
3 5 2
2 4 3
10 8
3 3 3
0 1 0
3 1 4
3 2 2
3 3 1
2 2 3
0 1 2
0 4 3
1 4 4
1 1 1
10 9
0 2 3
3 0 2
3 2 2
2 3 3
2 1 3
0 2 0
1 2 1
3 0 0
2 2 3
1 1 2
10 9
5 0 0
1 1 4
0 3 5
5 2 5
4 5 3
2 5 2
0 0 5
4 4 1
4 2 5
0 0 3
10 3
2 0 5
0 2 1
2 0 1
1 0 4
0 0 5
5 1 2
1 2 5
5 2 2
4 2 5
5 2 1
10 7
2 1 3
0 2 3
2 1 1
0 1 0
1 3 0
3 3 0
0 1 3
3 1 0
1 2 1
0 2 2
10 3
2 0 1
1 1 0
1 2 1
2 0 0
1 0 0
0 2 2
0 1 0
1 1 1
1 1 2
1 2 2
10 2
4 2 3
1 3 2
2 1 4
1 1 0
0 4 2
1 2 2
4 0 0
2 4 4
1 0 2
1 0 1
10 7
5 1 0
0 1 0
1 3 2
0 4 2
1 5 2
5 5 2
0 4 1
4 2 5
2 5 3
3 5 2
10 3
1 2 0
2 1 1
1 2 2
2 0 0
2 1 0
0 2 0
1 1 2
2 0 2
1 1 0
1 0 1
10 4
3 3 0
0 2 3
3 1 1
1 1 2
0 0 3
1 1 0
2 3 3
0 2 0
2 2 0
0 1 0
10 5
3 2 0
3 0 0
3 3 1
1 0 0
0 1 3
3 1 0
3 0 3
1 0 3
2 0 1
2 2 1
10 3
1 2 1
0 2 2
1 2 2
1 0 0
0 1 0
1 1 0
2 2 2
2 1 2
1 0 1
1 0 2
10 8
1 0 2
0 3 2
2 1 2
0 1 2
0 0 3
0 2 3
2 3 0
1 2 0
1 3 3
2 3 1
10 2
2 0 4
4 4 0
2 2 5
2 1 0
4 3 0
1 3 0
2 2 0
5 0 2
3 0 5
4 4 1
10 4
0 4 1
4 3 2
4 0 0
4 2 4
4 1 2
3 4 1
3 2 3
3 0 1
1 1 3
0 0 4
10 4
0 3 2
1 4 4
1 1 4
4 4 4
4 2 0
3 0 3
1 4 0
4 1 0
3 2 0
3 1 0
10 3
0 4 2
3 1 4
0 2 3
4 1 0
4 1 1
0 3 4
4 2 3
1 4 1
3 2 4
2 4 4
10 5
1 0 0
2 0 2
1 1 1
2 2 2
2 0 1
1 1 2
2 1 0
1 1 0
0 1 1
0 1 2
10 6
3 3 3
5 5 3
5 1 1
0 4 0
4 2 2
4 1 3
0 2 0
5 3 1
2 0 0
0 5 5
10 3
3 1 4
5 4 3
1 0 4
4 2 1
5 2 0
1 2 5
4 1 4
5 4 0
5 1 2
1 5 4
10 2
0 1 2
0 0 3
2 3 0
0 2 0
2 3 1
1 0 0
1 2 2
2 1 0
2 0 1
2 2 3
10 5
3 5 4
5 3 3
1 3 3
4 4 2
5 0 4
4 1 3
1 0 1
0 1 2
5 1 5
3 1 5
10 8
1 0 0
2 0 0
0 1 1
1 1 0
2 1 1
1 2 2
0 0 2
2 0 1
0 0 0
1 0 1
10 5
2 2 0
0 1 1
1 2 1
0 1 2
0 1 0
0 0 1
0 0 0
0 0 2
1 0 2
0 2 2
10 7
0 0 2
0 1 0
1 0 0
2 1 0
0 1 1
2 2 0
1 2 2
0 0 0
0 2 1
2 2 1
10 3
1 0 2
2 0 0
1 2 2
0 2 2
0 0 2
1 1 2
1 1 1
2 1 2
1 2 1
0 2 0
10 4
2 2 1
0 1 1
0 2 2
2 0 1
0 0 2
1 0 1
2 2 0
1 0 0
1 1 2
2 1 1
10 9
3 3 2
0 2 2
3 0 2
1 0 2
0 3 1
1 1 1
2 2 3
2 1 1
1 1 2
2 1 3
10 3
5 5 2
1 2 1
0 3 5
5 0 5
1 1 1
1 3 3
4 4 0
5 0 4
1 1 4
1 0 4
10 4
0 2 0
1 1 2
3 0 0
1 3 3
3 1 2
1 2 2
0 2 2
3 2 3
0 0 3
0 0 1
10 8
1 1 0
2 0 4
2 2 3
0 5 3
1 1 5
5 3 2
3 4 4
2 5 5
2 0 0
1 3 3
10 2
2 0 2
0 0 0
0 1 1
2 1 2
0 2 1
0 1 2
1 1 2
2 2 2
0 0 1
1 2 0
10 2
0 1 0
1 2 2
3 3 1
2 3 0
0 3 2
1 2 0
1 2 1
3 2 2
2 2 3
3 1 0
10 6
0 0 2
1 0 1
0 1 0
2 2 1
2 2 2
0 0 0
2 0 2
0 1 2
1 1 2
1 0 0
10 5
0 3 1
1 3 2
4 3 3
0 0 2
3 4 1
2 3 1
1 4 4
2 1 0
3 0 0
2 0 4
10 6
0 1 1
2 1 0
2 1 2
1 0 2
2 2 1
1 0 0
2 2 2
0 1 0
0 1 2
2 2 0
10 6
3 4 3
0 4 2
4 2 5
1 0 1
5 3 2
4 5 2
5 2 1
2 4 1
2 4 5
3 1 2
10 5
3 4 1
2 0 0
4 1 0
4 1 3
3 2 2
0 2 0
4 1 4
2 1 0
2 0 1
0 1 0
10 8
1 0 2
0 2 2
2 2 1
2 0 2
1 2 1
0 1 0
1 2 2
2 1 1
1 0 0
2 1 2
10 3
4 2 2
4 3 3
1 3 2
2 4 3
0 3 3
3 0 4
0 0 0
0 3 4
0 3 1
1 1 0
10 8
0 2 0
2 1 2
2 1 0
2 1 1
2 2 0
0 2 2
0 2 1
1 2 0
1 1 2
0 1 1
10 4
4 3 3
2 2 0
2 1 1
2 1 4
3 4 2
2 2 2
1 1 4
3 3 1
1 4 3
3 1 0
10 3
0 1 1
1 2 0
1 0 1
0 2 0
1 1 1
2 0 2
1 2 1
0 1 2
1 2 2
2 0 0
10 7
3 1 2
2 4 4
4 4 0
3 2 2
2 0 3
0 4 0
2 4 2
3 2 3
1 2 0
4 4 4
10 9
0 4 1
2 1 0
1 3 4
4 0 2
1 4 1
2 3 3
0 1 2
3 4 4
3 1 3
4 2 1
10 3
0 0 2
1 1 2
2 1 1
2 1 2
1 0 2
2 2 0
0 1 0
1 1 1
0 1 1
1 2 2
10 3
0 0 1
2 0 1
0 1 2
1 0 1
1 2 0
0 0 0
2 2 1
0 2 1
2 1 1
1 1 2
10 6
3 2 0
0 4 1
3 4 4
1 3 2
3 0 0
1 2 4
1 3 0
3 4 1
2 0 3
4 4 2
10 4
0 1 0
0 0 1
1 1 3
0 1 2
3 0 0
2 1 1
2 2 1
2 3 2
0 0 2
2 3 0
10 8
2 1 1
2 2 2
0 2 1
0 0 0
0 0 1
0 2 2
1 2 0
0 2 0
0 1 2
2 0 1
10 7
5 5 4
0 3 2
1 5 0
5 2 4
1 1 0
3 0 4
2 0 4
1 2 1
5 5 0
0 4 0
10 6
5 3 2
0 0 0
4 0 3
1 3 3
3 3 5
5 1 2
4 0 4
5 2 3
1 5 1
0 5 5
10 4
2 1 2
1 2 1
2 0 2
2 2 2
0 2 2
0 1 1
0 2 1
1 2 2
0 0 0
1 2 0
10 5
0 2 1
1 0 1
1 2 0
2 0 2
0 1 2
0 1 1
0 0 1
1 1 2
2 2 0
1 0 0
10 9
1 5 1
5 3 1
2 2 2
1 2 4
5 2 3
4 3 3
0 2 5
4 5 3
3 5 2
4 1 5
10 5
0 0 0
3 0 1
2 2 0
2 2 1
3 0 3
3 2 1
3 0 2
1 2 1
2 1 1
1 1 3
10 2
0 2 1
1 1 0
1 0 1
1 2 0
0 1 1
1 2 1
2 0 2
0 1 2
2 2 2
1 1 1
10 5
3 3 3
1 1 0
4 4 4
0 1 3
3 1 2
0 1 4
0 2 4
4 1 4
4 1 2
2 2 4
10 7
0 1 0
1 0 0
0 3 2
2 3 1
1 2 0
2 3 3
2 1 2
1 1 3
0 1 2
3 1 0
10 3
3 4 3
3 0 1
1 4 0
2 3 3
4 1 4
0 4 0
1 4 4
0 3 1
4 2 4
4 1 0
10 2
0 0 2
1 0 2
2 2 0
0 0 1
1 1 2
2 1 1
1 2 1
1 1 0
1 2 0
2 1 2
10 6
1 0 2
2 2 1
1 1 0
0 1 0
1 2 1
1 1 1
0 2 2
2 1 0
2 0 2
1 2 0
10 6
3 2 1
3 3 3
3 3 0
2 2 2
0 3 1
1 1 2
2 3 2
2 0 3
1 0 2
0 1 2
10 9
0 3 2
2 3 2
0 1 2
3 1 2
1 2 0
2 0 1
2 1 3
1 1 0
3 2 3
0 0 2
10 4
0 2 2
2 2 1
1 0 1
0 1 2
1 2 2
0 0 0
2 1 1
2 2 2
1 1 2
0 0 2
10 7
2 1 0
0 2 3
2 4 3
3 4 1
1 4 0
3 3 2
4 1 1
2 4 2
4 1 3
1 2 4
10 8
2 5 1
1 4 0
3 0 1
0 2 1
0 3 5
4 2 0
2 2 1
5 0 2
0 0 2
0 5 4
10 3
0 2 2
2 0 0
1 1 1
0 0 2
0 0 0
1 2 1
0 1 1
1 0 0
2 1 0
1 1 0
10 2
1 4 4
3 0 2
1 0 1
1 3 1
2 0 2
0 1 4
0 2 1
4 0 2
1 2 0
1 3 0
10 9
2 2 3
0 1 3
2 3 3
3 3 3
2 1 1
3 2 0
2 0 1
2 3 2
1 2 2
1 0 1
10 7
5 3 0
1 1 3
4 0 2
3 2 5
5 2 5
5 5 1
3 4 1
3 0 1
1 2 3
0 0 2
10 3
2 1 2
2 0 1
0 0 1
0 1 1
1 0 0
0 1 0
1 1 1
0 2 1
1 2 1
1 1 0
10 6
0 2 1
4 1 0
4 3 2
2 3 1
1 2 2
0 4 2
1 0 3
3 3 4
3 0 0
3 2 2
10 3
4 4 2
0 2 4
0 3 1
1 2 0
0 0 1
3 2 2
2 3 1
1 5 3
5 5 3
1 4 5
10 3
5 2 5
4 4 3
2 1 4
4 5 1
4 5 0
2 1 1
3 1 4
3 4 5
1 5 2
3 5 5
10 8
4 3 2
1 4 2
1 4 3
4 0 4
4 2 1
3 1 1
1 0 3
1 2 2
3 2 0
1 4 4
10 4
3 4 0
4 0 4
0 2 1
3 1 0
4 1 3
0 4 3
3 0 4
1 2 1
2 1 1
2 0 1
10 6
4 3 1
3 3 4
1 3 3
4 0 1
2 0 0
1 4 1
3 2 3
3 3 1
4 0 4
3 1 0
10 8
1 1 1
2 0 0
2 1 2
1 1 0
1 2 1
2 1 1
2 0 1
1 2 0
0 2 2
1 2 2
10 2
3 2 5
4 1 5
5 4 2
0 0 3
1 1 1
0 5 5
5 5 1
2 4 1
1 0 1
1 2 5
10 2
3 1 3
1 1 5
5 5 0
4 5 2
2 4 5
0 1 5
4 2 4
4 3 2
4 3 1
5 3 1
10 8
4 0 3
1 3 3
1 4 1
2 4 0
5 1 5
4 5 2
2 2 4
0 2 1
4 1 2
5 5 3
10 3
2 2 2
1 0 0
1 1 0
2 2 0
0 1 0
2 1 1
0 0 1
1 1 2
0 2 0
2 0 0
10 7
0 2 0
4 0 1
2 3 3
2 4 2
2 2 1
2 1 1
0 3 0
3 0 0
2 3 4
2 3 0
10 4
3 0 1
1 2 0
0 3 3
2 3 2
2 1 1
1 2 1
2 2 3
0 3 2
0 2 3
0 0 0
10 6
2 1 1
2 0 2
1 0 1
0 1 1
2 1 2
2 0 1
0 1 0
0 1 2
2 2 1
1 1 1
10 7
1 0 2
0 1 1
1 2 0
1 0 1
0 2 0
2 1 1
0 2 1
0 0 0
2 0 2
1 2 1
10 3
0 1 2
2 2 1
2 1 0
3 3 0
3 0 1
1 2 2
0 3 0
3 2 2
3 2 1
0 0 0
10 3
2 1 3
0 1 0
1 3 3
0 0 2
2 2 1
3 1 3
0 2 2
0 1 2
2 3 3
0 0 1
10 3
2 3 2
2 3 1
1 2 3
3 0 2
0 2 1
2 3 0
0 3 1
1 2 0
0 3 3
2 2 0
10 3
4 1 0
1 3 5
2 4 0
5 0 3
4 2 5
2 5 4
5 2 3
4 4 3
3 0 0
0 5 5
10 9
0 2 0
1 1 2
2 2 0
2 3 1
2 1 3
2 3 2
2 1 1
3 0 2
1 2 2
1 1 0
10 6
4 0 3
5 0 1
5 3 2
2 0 1
4 2 5
5 2 4
4 0 0
4 4 4
3 5 2
1 4 5
10 9
1 2 2
0 3 1
2 0 0
3 3 2
3 2 0
3 3 3
1 3 3
1 3 0
1 2 1
0 2 2
10 2
2 1 3
1 0 0
2 0 0
3 2 1
3 2 2
2 0 1
2 0 2
0 2 0
1 3 0
3 2 0
10 8
3 3 2
3 0 3
0 2 1
3 2 2
2 3 1
3 1 3
1 1 3
1 3 1
0 0 3
1 0 1
10 8
1 2 1
2 1 1
3 2 0
3 0 2
2 2 3
0 0 1
1 0 2
3 2 3
4 3 3
4 2 1
10 3
2 0 2
2 2 1
0 1 0
1 0 2
2 2 0
0 0 0
1 0 0
2 0 0
0 2 1
2 0 1
10 8
0 4 0
2 4 4
1 1 2
2 2 3
1 4 2
3 3 3
1 0 3
1 1 0
1 3 0
1 1 1
10 6
1 3 3
0 0 0
1 4 0
0 1 0
2 3 2
3 0 1
2 1 1
4 3 4
3 0 0
1 3 1
10 7
1 1 0
3 2 3
0 2 3
0 2 0
2 2 3
2 2 1
0 3 0
0 1 2
3 3 0
3 2 0
10 6
2 1 0
4 3 0
1 0 2
4 1 0
4 3 4
0 1 1
5 5 5
4 0 5
4 2 0
4 2 1
10 9
0 0 1
2 0 2
1 2 1
1 1 2
2 2 2
0 0 0
2 1 1
2 2 0
1 2 2
0 2 0
10 7
2 1 0
2 0 0
2 0 2
1 1 2
0 0 1
1 2 0
2 2 0
1 2 1
1 0 1
1 2 2
10 6
0 5 1
4 1 4
2 2 3
1 4 3
0 1 2
3 4 0
3 0 0
3 1 5
4 1 1
5 0 4
10 8
0 1 3
1 0 2
3 1 0
2 1 2
2 3 4
1 4 4
1 4 3
2 4 3
3 4 2
4 3 4
10 5
4 1 1
2 1 3
4 0 1
1 2 2
3 4 2
3 1 1
2 1 4
0 4 3
0 2 2
0 4 1
10 2
0 3 4
3 2 3
2 1 4
2 4 4
4 1 4
4 2 4
4 2 0
2 0 1
0 4 0
1 0 2
10 2
1 0 0
2 1 3
2 2 0
0 1 0
2 1 1
1 2 2
2 1 0
3 3 1
0 2 2
2 3 1
10 8
2 1 2
1 0 1
0 0 2
2 2 0
0 1 1
0 0 0
1 1 2
0 1 0
1 1 0
1 1 1
10 9
1 1 4
5 0 4
5 1 0
5 1 4
1 4 3
4 0 3
3 4 4
0 4 0
2 5 4
1 4 1
10 5
3 2 0
0 3 4
2 2 0
2 4 1
3 3 2
4 2 1
1 4 0
0 3 2
0 2 2
3 4 1
10 2
3 0 2
4 0 1
5 4 4
1 2 1
3 1 3
3 4 3
4 0 4
5 3 4
2 1 2
2 4 0
10 2
5 2 3
2 3 2
2 5 5
4 0 4
4 1 2
2 5 0
5 3 4
3 3 3
2 4 5
4 4 0
10 7
1 0 1
1 0 2
0 1 2
1 2 1
1 2 0
2 1 1
1 0 0
0 0 0
0 1 1
2 1 0
10 4
4 4 1
4 2 1
1 0 4
4 4 3
3 2 2
3 3 1
0 0 4
1 1 0
4 1 2
3 3 3
10 5
2 2 2
0 2 1
0 0 0
0 1 2
1 1 0
2 1 1
2 2 0
1 2 2
2 0 2
1 0 0
10 8
3 2 5
3 3 0
5 5 0
4 2 1
5 1 2
1 1 2
2 3 2
0 2 5
1 5 0
2 1 2
10 4
0 2 1
1 3 0
1 2 2
3 3 0
2 0 0
2 2 3
0 0 0
3 3 1
1 2 0
1 3 2
10 3
4 2 2
2 3 0
4 0 1
4 0 3
4 1 2
0 4 0
1 2 1
2 0 1
3 4 1
4 3 1
10 4
1 4 0
5 5 3
0 3 3
4 5 2
2 5 0
0 1 4
4 1 0
2 0 4
1 4 5
2 1 3
10 9
0 1 0
3 0 3
1 3 0
0 3 1
3 1 2
2 0 2
1 2 2
2 2 1
3 2 2
3 1 3
10 8
0 0 1
2 1 1
2 0 2
0 0 0
0 2 2
1 1 2
1 0 1
2 2 2
2 2 1
1 0 2
10 8
0 0 0
3 1 3
3 0 0
0 2 1
0 2 2
3 2 1
3 3 1
0 1 0
2 1 1
1 3 2
10 9
1 3 5
4 3 0
5 2 1
5 0 4
5 1 3
2 0 5
3 1 1
3 5 3
1 2 5
4 4 2
10 5
0 1 1
1 2 0
1 2 2
0 1 0
2 2 1
1 1 2
2 0 2
2 0 1
0 0 2
1 0 1
10 4
0 3 2
3 0 3
5 5 0
3 2 0
2 3 2
3 2 5
5 5 1
3 1 5
5 5 5
0 3 5
10 4
0 3 3
0 3 2
1 3 3
1 3 2
0 0 0
2 2 0
3 1 1
3 2 2
1 2 2
2 3 2
10 9
0 1 1
1 1 1
2 2 1
0 2 0
0 0 2
1 0 2
0 0 1
1 1 0
1 2 0
0 1 0
10 9
0 1 2
2 2 1
1 0 1
2 2 2
0 1 1
0 2 2
2 0 2
0 1 0
0 0 2
1 2 2
10 6
2 3 4
1 1 5
0 1 5
5 0 4
0 2 2
3 2 0
3 2 3
3 3 2
1 3 2
1 2 3
10 3
0 3 4
1 1 4
2 1 2
1 2 4
4 1 2
0 0 4
2 1 4
0 1 0
4 2 4
0 4 1
10 2
2 3 3
2 2 3
1 2 3
0 2 2
2 2 1
0 2 1
1 2 0
3 2 1
0 3 3
0 1 2
10 3
1 1 1
2 1 2
2 0 2
1 0 2
1 1 2
2 2 2
2 1 0
2 2 1
0 0 1
0 2 1
10 5
0 3 4
2 2 2
4 4 2
4 3 2
2 2 4
1 2 0
4 2 1
3 4 2
1 1 0
0 3 3
10 4
5 3 4
3 5 0
1 0 3
5 2 4
2 2 5
4 5 2
3 1 3
4 2 2
5 4 3
1 4 1
10 5
3 0 1
5 0 0
1 1 4
4 2 1
5 2 5
4 4 4
0 3 2
1 5 5
4 2 2
0 0 0
10 9
1 0 0
2 2 1
2 1 2
2 0 2
2 0 0
1 1 0
0 0 1
1 2 1
2 2 2
0 1 2
10 9
1 2 2
2 2 0
2 0 0
1 1 2
1 1 1
0 0 1
1 0 1
1 1 0
0 1 0
0 1 2
10 8
3 2 4
1 3 0
0 0 4
2 0 1
3 1 5
1 0 5
3 4 1
1 2 3
0 4 5
5 3 5
10 8
3 1 1
0 2 3
5 4 4
5 0 1
2 4 5
1 5 3
3 5 1
1 4 1
4 1 1
1 0 2
10 2
0 3 1
0 0 5
5 3 5
1 1 2
2 4 4
0 2 4
4 1 1
3 3 4
0 1 0
0 2 1
10 6
2 3 2
4 0 2
2 3 1
0 0 3
0 3 0
3 2 2
3 1 4
0 0 0
4 3 4
3 3 2
10 4
0 0 0
2 1 0
2 0 1
2 0 3
2 2 3
0 1 2
1 0 0
2 3 1
2 3 3
2 2 2
10 6
0 1 0
3 2 2
1 0 3
0 1 2
1 2 2
3 1 3
1 2 3
1 1 1
1 1 3
0 0 3
10 2
1 0 2
0 1 0
1 1 1
0 2 2
2 1 0
2 0 0
2 2 0
0 2 1
2 2 1
2 1 2
10 6
1 0 0
3 3 4
1 2 3
4 2 3
3 1 3
4 1 1
1 4 2
4 3 1
0 3 3
4 4 0
10 5
1 1 0
2 1 2
2 2 2
1 0 1
1 0 0
2 1 1
0 0 1
1 2 0
1 1 1
0 1 2
10 9
3 3 2
0 2 0
0 0 1
1 2 3
1 2 0
3 0 1
0 2 2
3 0 3
1 0 1
3 1 3
10 2
1 3 0
0 1 0
2 1 1
0 0 0
0 1 2
1 3 3
0 3 0
1 3 2
3 3 1
3 3 2
10 7
0 1 0
1 1 0
0 2 2
2 0 0
0 0 0
2 1 2
2 2 2
2 1 0
2 0 1
0 1 1
10 4
2 2 3
1 3 2
3 2 2
3 0 3
3 2 3
3 3 2
2 3 3
1 1 2
1 2 2
2 2 1
10 3
1 0 2
0 2 2
0 2 0
1 2 2
2 2 0
2 2 1
1 0 1
1 0 0
0 1 2
2 0 1
10 7
0 0 3
3 1 2
1 3 3
2 0 0
0 2 2
3 0 0
0 0 1
2 2 2
0 3 0
1 2 3
10 3
3 0 1
0 3 3
0 0 1
1 2 2
3 1 2
2 0 2
1 0 0
0 3 2
2 3 3
2 3 2
10 5
2 2 1
3 3 2
4 1 1
0 1 1
1 4 4
3 0 2
4 1 4
0 3 1
2 4 2
3 1 3
10 6
2 3 1
0 0 2
1 0 1
1 2 1
0 1 0
3 1 2
2 0 3
0 3 3
3 2 2
2 2 0
10 9
3 5 1
4 5 4
3 5 2
1 1 5
0 4 5
1 0 0
5 2 1
0 0 1
3 1 2
3 0 3
10 8
5 2 3
1 4 0
1 5 1
2 5 0
4 4 0
0 4 2
0 0 0
0 4 3
5 3 3
5 5 5
10 6
1 0 4
2 2 3
2 1 0
3 2 4
3 1 2
3 4 1
4 2 0
4 0 3
2 3 1
2 4 0
10 8
0 1 2
2 1 2
1 2 0
2 0 0
1 2 1
2 2 0
0 2 0
1 2 2
0 1 1
2 1 0
10 4
0 4 1
2 2 4
0 2 0
2 4 2
3 1 3
1 4 3
0 1 2
4 1 1
2 1 1
4 0 0
10 4
1 1 1
1 2 0
1 0 0
0 0 0
0 2 0
2 0 2
1 0 2
2 1 0
2 0 0
2 1 1
10 7
1 2 3
2 0 3
1 0 0
0 0 3
1 2 2
2 1 0
3 0 3
1 1 2
2 0 2
0 0 0
10 5
3 4 5
3 3 1
4 2 2
3 1 1
2 5 1
0 2 3
5 2 5
2 0 5
0 1 0
0 4 2
10 6
0 5 2
1 5 0
0 4 2
2 4 1
3 0 1
2 3 4
4 1 2
1 2 5
4 4 2
0 1 1
10 7
0 3 0
3 1 1
0 2 0
1 2 0
0 3 1
1 2 2
3 3 3
3 1 3
1 1 2
2 2 3
10 7
2 2 0
1 2 1
0 2 2
0 1 2
0 0 0
2 0 0
0 2 1
1 0 2
2 1 0
2 1 1
10 8
2 2 2
1 2 0
0 2 3
3 1 2
3 0 2
0 1 0
1 2 3
2 3 3
2 0 0
1 1 1
10 9
0 0 0
2 0 0
2 1 2
2 2 2
1 1 1
1 2 2
2 0 1
2 1 1
1 2 1
0 2 2
10 7
0 1 3
1 0 3
0 1 1
2 1 1
4 3 4
1 1 4
4 1 3
2 0 2
0 1 0
2 4 4
10 8
1 2 2
3 0 2
3 3 1
2 0 0
2 1 3
3 0 0
0 2 3
0 0 3
1 0 2
1 2 0
10 7
0 1 0
0 0 1
2 0 2
2 1 2
2 1 1
1 0 2
1 1 1
2 2 0
2 0 1
0 2 1
10 9
0 2 0
2 1 1
0 1 0
2 0 0
1 0 0
2 2 0
1 1 2
2 1 2
2 1 0
1 2 2
10 8
4 3 2
2 4 4
3 3 0
3 0 0
2 1 3
2 4 1
4 2 4
0 4 3
3 2 0
2 2 0
10 7
3 3 0
3 3 1
2 1 3
0 2 1
0 0 0
2 2 3
2 2 1
0 0 1
0 0 3
2 3 2
10 6
0 3 0
0 0 4
1 0 3
2 3 4
0 4 0
0 3 2
4 4 0
1 3 0
3 2 4
1 1 3
10 4
0 2 3
1 0 0
3 0 1
3 3 3
1 2 1
1 0 2
1 3 1
3 3 1
3 2 0
2 1 0
10 2
4 4 1
3 0 2
4 1 4
0 1 0
1 0 0
3 1 4
4 1 2
3 1 1
1 4 3
1 1 3
10 3
2 2 1
1 4 3
2 0 2
2 3 1
1 1 3
3 4 4
4 1 1
0 4 0
2 4 1
0 2 4
10 6
0 1 1
0 1 0
1 1 3
1 3 1
0 0 0
2 0 2
3 0 0
2 3 0
3 1 1
0 2 3
10 2
3 1 2
3 0 2
2 1 3
0 0 0
1 1 3
1 1 2
0 3 1
1 2 3
2 3 3
3 2 3
10 2
3 3 3
1 3 3
0 3 3
1 2 1
0 0 1
1 0 2
0 2 3
0 0 3
3 1 1
3 2 2
10 5
2 2 1
4 2 4
0 4 3
4 2 1
1 2 1
3 0 4
2 2 3
2 0 0
4 4 1
2 0 2
10 4
3 3 2
2 1 3
1 3 0
2 3 3
2 0 3
3 2 2
3 1 1
1 0 2
1 3 3
0 1 3
10 2
0 2 0
1 1 0
1 2 0
1 0 1
0 1 1
2 0 1
0 1 0
1 2 2
2 0 0
0 0 0
10 4
1 1 2
1 0 1
2 1 0
2 1 2
0 2 0
1 2 0
2 1 1
2 2 2
2 0 2
2 0 0
10 4
3 0 2
1 2 3
1 1 1
4 1 4
5 3 3
4 4 2
1 1 5
4 2 4
5 0 1
2 1 2
10 7
2 1 0
2 2 1
1 0 1
2 0 1
0 0 0
1 0 2
0 0 1
1 2 1
2 2 2
1 1 0
10 9
5 2 5
5 3 4
0 3 1
5 5 3
4 3 0
4 5 4
5 5 5
1 0 2
1 1 0
4 0 1
10 4
2 4 1
1 5 0
0 5 0
0 5 2
3 0 1
3 5 5
4 2 1
0 0 1
2 0 0
5 0 2
10 5
5 3 2
5 4 3
4 4 0
1 0 4
0 3 4
2 5 5
0 0 0
0 1 3
1 3 4
0 5 0
10 9
3 3 3
1 4 4
2 0 2
1 0 4
2 4 0
0 4 0
0 2 1
2 2 0
0 0 2
3 1 3
10 8
2 2 5
4 0 1
1 0 1
5 4 1
2 0 3
4 3 3
1 4 0
5 0 2
2 2 2
4 4 5
10 8
4 2 1
4 0 3
1 2 0
3 2 2
0 2 2
3 0 4
2 3 0
3 1 2
1 0 2
2 4 4
10 7
2 1 0
0 0 0
2 0 0
2 2 2
2 2 0
0 2 1
2 0 1
1 1 1
1 1 0
2 1 2
10 6
2 0 2
1 0 2
1 0 0
2 1 1
1 0 1
0 0 0
2 1 2
1 1 0
2 2 0
2 2 2
10 6
1 2 2
1 2 1
0 2 0
2 1 1
1 0 2
1 1 1
0 1 0
0 0 1
0 2 1
0 0 0
10 2
4 4 2
3 2 2
3 2 1
3 4 2
4 2 1
4 2 3
2 2 0
4 1 2
3 2 0
0 1 3
10 6
0 2 0
0 2 2
1 1 2
2 1 2
1 2 2
0 1 0
1 0 1
1 2 0
0 2 1
0 0 1
10 8
3 3 3
3 0 2
0 3 3
0 1 1
0 3 1
3 1 1
0 3 2
2 2 3
1 3 2
3 3 2
10 6
2 3 2
2 2 5
0 0 5
3 2 4
5 0 1
0 0 0
4 2 2
0 2 5
2 5 1
4 4 0
10 4
1 0 2
2 0 1
1 0 0
3 3 0
0 1 1
2 2 2
3 2 2
3 0 0
0 3 2
2 2 3
10 4
0 1 1
0 1 0
0 1 2
1 2 2
2 2 2
2 2 1
2 0 0
2 1 1
1 1 2
2 0 1
10 7
1 0 1
5 4 4
5 0 2
0 5 0
2 2 2
1 4 5
1 2 2
5 5 3
4 2 2
5 0 1
10 7
2 1 1
1 1 0
4 3 3
4 0 1
3 0 0
1 0 3
3 0 3
2 3 4
1 3 0
2 4 4
10 6
1 0 3
0 1 3
0 4 1
4 2 0
0 0 1
2 2 3
3 4 3
0 1 0
1 0 1
4 3 4
10 5
3 1 3
2 0 0
2 0 1
1 2 1
3 1 1
3 2 0
1 0 2
3 2 3
1 0 3
3 3 3
10 4
0 1 1
0 2 0
2 1 0
1 1 2
1 1 1
1 0 2
1 1 0
0 1 0
1 0 1
2 0 2
10 3
3 2 0
3 3 0
1 3 0
2 2 1
3 0 1
1 0 1
0 1 0
2 1 2
2 0 1
1 3 1
10 2
2 0 0
0 1 2
0 2 3
0 1 0
2 4 0
4 1 0
0 0 0
3 1 1
1 2 2
1 1 4
10 2
1 0 1
1 1 0
0 2 0
3 3 0
1 2 3
2 1 3
2 2 3
1 2 0
0 1 2
2 2 2
10 9
1 0 3
1 1 0
1 3 1
2 1 2
3 0 2
0 1 0
1 3 3
2 3 3
0 3 3
3 2 3
10 4
1 1 1
1 1 0
2 0 1
0 1 0
1 1 2
0 2 1
1 2 2
2 1 2
0 2 0
2 1 0
10 9
4 1 1
1 5 1
1 4 1
5 5 4
5 2 5
1 0 4
5 1 1
4 5 3
4 3 4
2 1 3
10 5
1 2 5
2 2 0
2 3 0
5 1 3
5 0 1
3 2 2
5 5 0
0 5 4
4 3 1
5 0 3
10 7
1 0 3
4 3 4
2 3 1
1 2 3
2 3 3
2 4 1
4 3 0
2 2 0
2 3 2
1 4 4
10 9
1 0 1
1 1 1
2 0 3
0 0 2
0 1 3
1 3 3
3 0 0
1 1 2
1 1 0
3 1 0
10 7
1 1 1
3 2 4
2 4 1
3 0 2
0 1 4
1 2 0
3 1 3
1 1 2
2 4 2
0 3 4
10 6
0 0 1
0 0 3
1 2 2
0 0 0
1 0 1
2 2 1
2 4 0
3 2 3
2 2 0
0 2 4
10 2
4 3 3
2 1 3
3 3 2
4 1 3
0 3 3
1 2 3
3 2 0
3 0 2
2 2 2
0 3 4
10 5
1 0 2
1 1 3
0 2 3
0 0 0
2 1 0
2 2 2
1 1 1
0 0 3
3 1 1
2 2 0
10 2
4 0 4
3 0 3
2 1 1
3 4 0
0 4 0
3 2 4
1 1 1
4 1 0
4 3 2
0 3 4
10 7
0 3 2
1 2 1
2 3 3
3 1 3
1 1 2
1 2 3
1 1 3
2 0 3
3 0 0
3 3 0
10 2
2 3 1
3 0 0
3 1 1
2 1 1
3 3 1
3 1 3
1 3 2
2 0 1
0 1 2
0 3 0
10 9
0 4 1
2 0 1
3 1 0
4 4 2
2 0 2
4 0 0
2 4 1
3 2 1
3 4 3
1 4 2
10 8
3 3 0
0 3 2
1 2 2
3 2 2
3 2 0
0 2 3
2 0 2
2 3 1
0 3 1
1 1 1
10 7
4 1 3
5 0 3
4 1 5
3 4 2
0 0 1
3 1 3
0 2 1
3 1 1
4 1 0
4 0 4
10 6
3 0 1
1 1 0
1 0 2
1 1 2
3 2 2
2 1 0
1 0 0
3 1 0
3 2 3
0 0 1
10 7
5 5 2
5 2 1
1 3 1
2 4 5
0 2 1
5 4 1
4 1 3
5 1 5
2 4 2
5 2 4
10 5
2 2 2
3 0 1
3 1 2
2 1 3
1 3 2
0 2 2
1 1 1
2 2 0
0 1 1
1 0 0
10 4
0 2 0
2 1 0
0 0 1
1 1 0
0 1 2
0 1 1
1 2 0
1 0 0
2 2 2
2 2 0
10 2
1 0 1
0 1 0
2 1 0
1 1 0
1 1 1
1 1 2
1 0 2
2 2 2
2 2 0
2 1 2
10 4
4 1 5
0 3 1
1 4 1
5 3 3
2 3 3
3 1 4
1 1 3
0 5 5
2 5 1
3 2 0
10 8
0 2 0
4 4 2
1 0 0
2 2 3
0 4 2
0 1 1
4 3 4
1 3 3
0 4 4
1 2 0
10 4
0 3 2
2 0 0
3 1 2
0 3 0
1 0 1
0 1 0
1 3 2
1 0 2
2 3 2
2 2 2
10 2
3 0 1
2 1 3
0 0 1
0 0 0
1 2 3
1 3 1
1 1 1
1 3 0
1 3 2
0 1 3
10 6
1 4 3
3 4 4
2 3 4
3 3 3
1 3 4
2 4 3
1 2 1
2 3 3
2 3 0
3 0 2
10 2
2 1 4
1 3 4
2 4 2
3 0 0
1 0 0
0 4 2
0 3 0
3 3 1
4 0 4
1 1 1
10 8
0 0 2
1 2 1
2 1 2
0 2 2
2 1 1
0 1 2
1 1 1
0 0 1
1 2 0
2 2 1
10 9
1 2 1
0 1 2
1 1 1
0 1 1
2 2 1
0 0 1
0 2 2
2 0 0
2 1 0
1 0 1
10 6
1 2 1
2 4 0
1 4 1
1 4 4
3 4 3
1 3 4
2 1 4
1 0 2
3 1 4
0 0 4
10 9
1 0 1
2 3 2
0 3 1
3 2 2
0 1 2
1 1 1
2 0 3
2 3 3
0 1 1
1 0 0
10 2
1 3 3
3 0 0
3 1 2
0 1 3
3 2 1
2 0 1
0 3 0
3 1 1
3 1 0
2 1 0
10 9
2 1 0
2 1 2
2 0 0
1 1 2
2 2 2
1 0 1
2 2 0
0 2 1
2 1 1
1 0 2
10 8
1 0 0
0 0 0
2 0 0
1 3 0
1 1 1
0 1 2
0 0 2
2 2 0
1 2 0
0 1 0
10 6
2 1 3
2 2 3
2 2 0
3 1 1
0 0 1
1 1 0
0 2 0
3 2 3
2 3 2
1 2 1
10 4
2 2 1
0 0 1
1 0 1
2 0 1
1 2 0
1 2 2
2 0 0
1 2 1
0 0 0
1 1 2
10 2
1 0 1
2 1 1
2 0 2
2 1 2
2 2 0
1 1 2
2 2 1
1 2 1
0 1 2
1 2 2
10 5
1 3 2
1 1 1
0 2 1
2 0 3
2 3 3
1 2 2
3 1 3
3 1 0
3 0 0
2 2 1
10 9
5 5 4
5 2 5
0 4 2
3 0 4
1 4 3
3 0 3
5 3 5
0 1 2
4 1 2
0 4 5
10 3
3 0 5
1 1 3
0 3 5
4 4 2
4 0 3
5 4 4
0 5 3
0 1 1
0 4 0
0 3 3
10 7
0 2 3
3 1 3
3 1 0
4 5 4
2 1 3
1 4 5
0 1 0
2 2 4
0 2 1
3 2 3
10 8
1 2 2
2 2 2
1 0 2
1 0 0
2 1 2
2 2 0
1 1 0
2 1 0
0 0 1
0 2 0
10 7
2 3 3
1 3 2
3 1 3
2 1 4
2 4 4
0 4 1
1 4 2
1 1 3
3 3 3
2 0 0
10 9
2 0 3
3 0 2
1 3 2
3 2 2
3 3 1
2 0 0
2 0 1
0 0 2
0 2 2
0 1 0
10 2
2 1 3
1 0 3
3 0 0
1 3 2
3 3 2
1 1 1
0 2 2
2 0 3
2 2 3
3 2 2
10 5
5 5 4
4 5 1
5 0 4
4 1 2
3 2 5
3 3 5
2 1 4
0 0 1
2 0 2
0 4 2
10 7
0 4 0
0 4 3
5 4 1
0 2 3
2 0 3
5 1 4
0 2 5
0 3 2
4 2 5
0 5 2
10 4
0 2 2
3 4 2
2 4 1
3 2 2
3 3 1
4 4 2
2 0 3
1 2 1
3 3 0
4 4 0
10 7
2 1 2
1 0 2
0 0 2
1 1 1
0 1 0
0 0 0
0 2 0
2 2 0
0 0 1
0 1 2
10 8
3 0 2
3 2 0
3 1 3
1 3 0
3 2 3
1 1 1
3 3 2
2 2 3
2 2 2
0 1 3
10 4
4 4 4
5 5 0
5 4 0
0 3 0
4 5 1
3 3 0
0 3 3
3 2 5
2 3 1
0 4 4
10 6
0 2 0
0 1 2
2 0 0
1 2 0
2 2 3
3 1 3
2 1 3
1 2 1
1 2 3
3 0 3
10 5
1 1 2
0 3 2
1 4 4
3 4 2
1 4 1
3 4 0
1 3 0
4 3 4
2 3 2
4 2 1
10 9
0 2 1
2 0 1
1 2 2
0 1 1
1 0 1
2 1 0
2 2 2
2 2 0
1 0 2
1 1 1
10 7
5 5 1
1 2 5
4 0 0
3 3 3
4 4 2
0 0 5
1 1 5
0 2 3
0 0 3
0 2 5
10 7
4 1 0
0 4 3
3 1 1
1 1 4
0 0 3
3 0 2
2 1 3
0 3 2
0 0 0
4 1 1
10 5
1 0 0
3 0 3
0 2 1
3 2 1
0 3 1
2 0 2
0 0 1
2 2 1
1 3 3
3 3 3
10 9
2 3 2
3 1 0
1 2 3
1 1 2
1 0 1
1 0 0
2 0 2
3 2 2
2 0 3
3 1 3
10 8
2 0 0
1 1 1
0 2 1
0 0 0
2 1 2
1 0 1
2 2 1
0 0 1
0 1 0
2 2 2
10 5
3 0 3
1 1 0
3 0 2
4 4 0
2 0 4
4 1 0
2 3 3
1 1 1
4 0 0
2 1 0
10 2
0 0 1
3 0 2
3 2 3
2 5 4
5 5 4
0 3 3
2 2 2
3 3 0
3 5 2
0 2 4
10 3
4 0 3
4 0 1
4 4 3
4 3 3
2 0 3
1 1 2
1 2 2
3 3 3
4 2 3
0 4 1
10 6
2 0 2
3 3 3
0 0 1
0 0 0
3 0 1
1 2 2
3 3 1
2 0 3
2 0 1
3 1 1
10 8
3 1 4
2 0 1
2 3 1
4 1 2
3 0 1
2 4 1
4 0 4
0 1 1
0 0 4
2 1 2
10 2
1 0 0
2 2 1
3 1 3
0 1 1
0 0 3
0 2 2
2 0 2
2 0 0
1 3 3
1 3 0
10 4
5 5 2
1 3 5
3 5 2
4 2 3
0 0 0
3 4 2
4 5 5
5 1 1
4 4 0
1 3 1
10 8
1 0 0
2 0 3
1 1 1
0 4 4
0 3 4
0 0 3
0 2 1
0 3 1
2 3 0
3 3 0
10 4
1 1 2
2 2 2
1 2 0
0 2 2
0 2 0
2 0 2
0 1 2
2 2 1
2 1 0
1 2 2
10 3
2 2 2
0 2 1
2 1 0
0 0 2
1 1 1
0 1 0
2 2 1
2 1 1
1 0 0
2 2 0
10 7
0 2 4
0 2 1
0 4 0
1 2 1
2 1 3
2 0 2
1 3 4
4 2 1
3 2 3
0 0 4
10 7
3 1 2
2 0 1
3 3 3
2 2 2
1 0 1
0 0 3
1 1 1
3 3 1
0 0 2
2 1 1
10 9
1 2 0
2 0 0
2 2 2
2 2 0
2 1 1
1 0 2
0 1 2
2 0 1
1 1 1
2 2 1
10 4
2 0 2
0 1 1
0 0 0
1 2 0
1 2 2
1 1 0
1 1 1
1 0 0
2 1 0
0 2 2
10 2
3 2 2
3 0 0
0 3 0
1 3 2
0 0 0
3 0 1
1 1 1
2 3 0
0 1 3
1 3 1
10 9
4 3 2
4 4 5
2 1 3
2 2 0
0 0 5
3 1 0
4 4 0
5 3 2
1 1 0
2 3 3
10 2
2 0 4
2 4 1
0 3 1
0 4 0
3 3 1
0 4 1
1 2 0
3 4 2
3 0 2
1 0 4
10 3
5 2 1
1 0 5
0 5 1
0 2 4
2 5 1
1 1 3
4 0 5
1 2 4
3 1 2
1 4 3
10 6
0 0 0
1 2 2
0 1 2
2 2 2
0 1 1
2 2 1
0 0 1
2 1 0
1 0 2
2 1 2
10 6
3 3 4
0 1 4
4 1 2
1 1 2
0 0 3
2 3 0
1 4 4
3 2 3
1 2 3
1 0 2
10 4
1 2 0
2 2 1
1 0 0
0 1 0
1 0 2
2 1 0
0 2 0
0 2 1
2 0 1
1 1 1
10 6
3 0 4
3 0 0
2 2 5
2 5 2
3 5 0
4 0 4
5 0 5
3 1 2
3 2 2
4 3 1
10 2
0 0 1
0 1 0
2 1 0
0 2 0
1 2 2
1 2 0
1 0 2
2 1 2
1 2 1
1 0 0
10 4
1 2 5
3 0 5
4 5 4
5 0 4
0 3 5
5 1 3
1 0 0
5 0 1
1 0 2
2 5 2
10 9
0 3 2
1 1 0
3 3 1
2 1 0
0 1 0
2 2 3
3 1 2
3 2 0
0 0 1
3 1 3
10 4
0 3 3
2 3 1
2 0 0
3 3 0
2 1 1
1 3 3
1 1 3
2 0 1
3 2 2
0 3 2
10 6
3 3 2
3 1 2
1 1 1
0 0 0
2 2 1
0 0 1
3 1 0
1 3 1
1 0 2
2 2 2
10 5
0 2 1
1 0 0
2 1 0
1 1 1
2 0 2
1 1 0
1 2 1
0 1 0
2 1 1
0 1 1
10 4
1 2 3
3 3 2
2 2 1
1 3 3
2 3 2
2 1 0
3 0 2
1 1 2
2 3 1
2 0 1
10 6
2 1 1
2 0 2
0 0 0
0 1 2
0 2 1
0 1 1
0 0 2
0 2 0
1 2 0
1 0 2
10 2
0 2 1
0 0 0
1 1 1
0 2 2
1 2 1
0 1 1
1 2 0
2 1 0
1 1 0
1 1 2
10 8
0 3 1
1 1 2
2 4 3
3 3 0
0 2 3
1 0 0
2 4 0
2 0 3
2 1 3
3 3 2
10 4
2 1 0
2 0 0
2 2 2
0 2 0
1 0 1
1 0 0
0 1 2
0 1 0
2 1 1
2 0 1
10 2
2 2 0
1 0 0
0 1 2
1 1 0
2 1 2
2 0 1
0 1 1
0 2 0
2 2 2
0 0 2
10 2
2 1 1
0 3 4
0 2 0
4 5 2
5 5 2
3 3 3
1 3 4
4 2 4
2 4 1
0 0 1
10 4
1 0 2
0 0 1
0 0 2
1 2 2
2 0 0
1 0 1
0 2 1
1 2 0
2 1 0
0 1 1
10 8
1 3 2
2 1 2
0 1 0
0 3 2
0 0 0
0 2 2
0 1 2
3 2 3
1 2 3
0 0 2
10 4
4 4 1
0 2 1
2 3 4
4 2 2
0 2 2
4 1 3
0 2 3
0 0 0
0 4 2
0 3 2
10 7
0 4 4
2 0 0
2 1 0
4 0 3
0 0 1
1 0 3
0 2 2
0 3 4
3 3 1
2 0 1
10 6
0 2 3
2 3 1
2 0 3
3 3 3
1 2 1
2 1 3
1 3 0
2 0 0
2 2 1
1 0 1
10 9
2 2 2
2 1 1
1 0 0
2 0 1
2 1 2
1 0 2
2 0 2
1 1 2
1 0 1
2 1 0
10 5
1 2 0
3 4 3
4 1 0
1 3 4
1 4 2
1 0 2
0 0 4
3 1 3
2 2 1
2 3 2
10 6
2 2 0
1 2 0
1 0 0
0 1 2
0 2 2
2 0 2
0 0 2
2 1 0
2 1 2
2 1 1
10 3
4 4 1
4 5 5
0 3 2
0 5 3
1 4 2
4 0 2
3 4 1
3 4 0
4 1 2
0 4 3
10 3
1 5 4
1 5 1
4 1 0
4 0 4
3 1 0
1 1 5
4 1 1
2 2 0
0 2 5
0 5 5
10 2
3 2 3
3 4 2
2 4 4
0 3 2
2 1 2
2 2 3
1 2 2
2 3 3
1 1 0
2 1 3
10 9
1 2 2
2 1 2
2 1 0
1 0 2
0 0 1
0 2 1
0 0 0
0 1 1
1 2 0
0 2 0
10 6
5 0 3
0 3 2
1 4 0
2 0 3
3 3 5
0 2 1
2 2 0
1 4 4
4 4 4
0 3 4
10 9
0 1 1
1 1 1
0 2 2
0 2 0
2 0 2
1 2 2
2 1 1
1 2 1
2 2 2
2 2 0
10 8
0 3 0
2 2 2
1 2 0
4 1 3
3 4 0
4 0 0
1 4 1
4 3 0
1 2 3
1 3 4
10 9
2 1 1
0 1 3
1 2 0
3 1 0
0 0 3
3 3 0
2 0 0
3 0 2
1 0 0
2 3 3
10 6
1 0 1
1 1 0
2 0 0
2 0 1
2 1 0
0 1 2
1 2 0
0 2 1
1 2 2
0 0 1
10 6
5 1 4
2 3 0
2 0 4
2 0 0
0 1 2
3 3 0
5 4 1
3 1 3
3 4 5
0 3 3
10 9
0 3 2
2 1 0
4 4 1
1 4 4
0 4 0
1 0 1
0 1 2
4 2 0
0 3 4
3 3 1
10 8
2 1 1
0 3 0
3 3 0
2 3 3
0 2 0
1 1 3
3 1 3
2 3 0
1 1 1
1 3 2
10 2
1 0 1
1 0 2
1 2 1
2 0 1
1 2 0
0 0 1
0 2 2
0 0 0
2 2 0
2 2 1
10 3
0 2 1
0 3 0
2 3 1
3 0 0
0 2 0
3 0 2
2 0 0
1 1 3
1 0 2
3 0 3
10 8
0 2 3
3 0 2
0 0 2
3 0 0
3 1 3
2 2 3
2 0 0
3 3 3
1 0 2
1 0 1
10 2
0 3 3
4 3 0
0 1 1
4 5 2
2 0 5
0 1 3
5 0 0
4 0 3
5 3 3
1 0 5
10 2
3 0 3
3 0 1
2 3 0
3 3 3
0 3 3
1 3 3
2 2 1
2 0 0
1 2 1
0 2 0
10 3
2 0 1
0 2 0
0 1 1
0 0 2
0 1 2
1 2 0
1 1 0
0 1 0
0 0 0
2 1 2
10 3
3 3 2
3 2 0
2 3 3
0 0 3
0 0 0
0 2 3
1 3 2
2 3 2
1 1 2
1 2 0
10 9
2 1 4
3 4 3
3 0 1
2 3 0
4 2 0
1 4 3
1 0 0
4 4 1
2 0 2
2 1 3
10 5
2 1 0
1 0 2
0 2 2
0 0 2
1 0 0
1 2 1
0 1 2
2 1 2
1 1 2
2 1 1
10 9
2 2 0
1 3 1
0 2 1
3 1 0
2 1 3
3 0 0
1 2 0
0 0 0
2 2 2
2 0 2
10 7
0 1 0
2 1 0
0 1 2
0 2 2
2 0 0
1 2 0
0 2 1
2 1 2
2 1 1
0 2 0
10 9
2 0 0
2 2 1
1 0 1
1 0 2
1 2 0
1 1 1
0 2 0
1 1 0
2 1 0
1 1 2
10 7
2 4 1
4 4 0
0 1 1
5 3 5
1 4 0
1 5 3
3 3 1
2 2 0
4 0 2
4 3 5
10 8
1 1 1
4 5 3
1 3 4
0 0 4
0 2 4
1 0 0
3 2 1
3 1 5
3 3 3
0 4 4
10 3
2 1 1
0 1 0
0 2 0
3 3 1
1 1 2
3 2 2
1 2 0
2 3 0
2 0 3
1 2 1
10 9
4 4 3
4 5 4
3 0 2
2 3 0
4 1 3
1 2 5
1 2 3
0 2 4
1 5 2
2 4 1
10 7
3 2 2
1 1 2
3 1 2
0 0 1
2 3 1
3 1 0
1 3 3
1 0 3
2 0 0
3 3 1
10 2
1 2 4
5 3 1
5 0 1
2 1 5
1 2 2
3 2 3
2 4 0
1 0 4
2 3 0
2 2 4
10 5
4 4 4
1 4 2
0 0 2
2 3 2
3 2 3
3 0 0
1 1 1
0 4 0
0 4 2
0 3 0
10 3
1 3 3
2 0 3
1 2 2
1 0 2
3 3 1
3 2 2
0 3 1
3 1 2
0 0 3
1 3 2
10 7
3 3 5
3 2 3
2 0 1
3 5 1
1 0 4
3 0 0
4 5 5
4 0 1
0 4 1
1 3 3
10 4
1 3 0
1 2 0
2 1 0
3 2 3
3 0 3
1 0 1
3 3 3
3 1 3
1 1 2
0 0 2
10 3
1 3 1
2 0 2
4 1 0
4 4 3
1 4 1
4 1 2
3 0 3
1 2 4
0 4 0
4 0 1
10 9
2 2 4
0 3 1
4 4 3
3 1 4
0 2 4
2 3 0
4 4 0
3 4 2
2 1 1
3 3 2
10 6
1 2 3
1 3 0
2 1 2
1 2 0
3 1 2
2 2 3
2 0 0
1 3 1
2 3 3
1 1 2
10 4
2 2 0
0 2 0
0 2 3
1 1 1
0 0 3
1 3 2
3 2 1
2 2 2
0 2 2
2 1 1
10 8
0 0 1
2 2 0
1 2 1
1 2 0
1 1 2
2 0 0
1 1 1
2 0 2
2 2 2
0 0 2
10 4
1 4 1
3 3 1
3 0 3
4 1 0
2 0 2
3 1 4
1 4 0
1 3 4
4 1 3
1 0 4
10 6
3 0 2
4 4 4
3 1 5
0 0 5
1 5 2
1 4 5
2 2 2
3 2 1
4 0 1
2 0 4
10 7
0 3 1
3 0 1
1 4 0
4 2 1
0 4 4
1 1 3
3 4 2
3 4 0
3 0 2
1 4 4
10 7
0 2 1
1 0 2
0 1 1
0 1 2
0 2 2
1 1 0
0 0 1
0 0 2
1 2 2
2 2 0
10 4
2 1 2
0 1 4
4 4 0
1 1 4
4 0 2
2 0 4
1 3 3
3 1 4
3 0 1
1 1 3
10 7
3 4 0
2 5 1
5 0 5
2 5 0
4 3 2
0 4 3
5 1 3
3 5 0
3 1 4
4 4 1
10 5
2 1 2
1 2 0
0 1 1
3 0 3
3 3 2
1 3 3
3 0 2
0 2 0
0 3 1
3 2 0
10 9
0 2 3
3 1 3
1 0 3
4 4 3
4 2 4
3 3 2
4 4 2
2 0 3
3 0 1
1 0 1
10 5
3 0 0
2 4 3
1 3 4
2 2 2
1 2 1
0 0 4
1 3 3
3 1 2
2 1 1
3 4 2
10 4
2 0 3
1 3 3
1 3 1
3 4 3
0 3 2
3 0 1
4 2 3
1 0 0
3 1 2
3 3 0
10 6
0 1 0
4 3 1
3 2 3
3 0 3
4 4 1
3 0 1
1 4 2
3 4 2
2 2 2
2 1 2
10 5
2 1 4
2 2 0
3 5 3
5 5 3
2 2 4
0 5 0
0 3 2
0 1 0
2 0 1
4 0 0
10 8
5 0 1
0 4 1
2 0 2
2 2 5
4 2 2
2 4 1
2 0 4
1 2 4
3 1 0
5 0 4
10 3
4 4 0
1 3 3
1 0 3
0 4 2
4 0 3
2 4 2
1 4 2
2 1 0
1 0 0
0 2 4
10 7
2 1 2
0 0 1
1 1 0
2 0 2
0 1 0
2 1 1
1 2 0
1 2 2
0 2 1
2 2 2
10 3
4 5 2
0 4 3
5 1 5
5 3 4
2 2 5
2 1 1
4 3 3
3 3 2
0 3 4
3 1 5
10 4
2 2 2
2 1 0
1 0 0
0 2 2
2 0 2
2 0 1
2 2 0
0 1 1
2 1 2
1 0 1
10 2
0 4 4
4 1 2
2 1 4
4 1 3
0 0 1
3 0 1
4 3 3
0 0 4
1 2 3
2 2 1
10 6
3 3 2
3 0 0
3 4 4
4 1 2
4 2 4
2 0 2
0 3 1
3 4 1
1 0 1
1 3 0
10 9
0 0 0
0 2 0
1 2 3
2 2 3
1 0 1
2 0 2
2 3 2
3 0 3
0 3 3
2 3 0
10 2
5 0 1
3 1 2
5 0 3
5 0 2
5 5 2
0 2 5
0 5 2
0 3 1
3 3 0
1 5 1
10 2
0 3 0
3 2 3
3 1 3
4 1 3
4 3 4
3 3 3
0 2 2
4 2 4
2 2 0
1 0 0
10 5
3 0 3
0 4 0
0 0 4
0 2 4
1 1 2
4 0 4
3 3 1
0 4 4
0 0 1
4 3 4
10 8
3 1 3
2 4 0
4 1 4
2 1 1
3 4 3
0 4 2
2 2 2
3 0 0
2 2 3
2 5 3
10 6
1 1 0
0 2 1
1 0 2
2 2 1
0 1 1
2 0 1
1 1 1
0 2 0
2 1 2
0 0 1
10 3
2 2 1
0 1 2
2 2 0
1 0 2
0 0 1
2 0 0
0 2 1
2 0 1
0 0 0
0 2 0
10 4
2 0 4
1 2 0
3 0 1
4 1 4
4 2 3
3 3 2
1 3 3
1 0 0
3 4 1
3 4 0
10 6
1 1 0
0 2 0
1 2 1
1 1 2
0 2 2
0 0 1
2 2 0
2 2 1
0 0 0
2 1 0
10 7
1 2 2
4 3 3
3 3 5
2 1 2
5 1 1
4 3 5
4 0 2
4 4 5
1 0 1
1 2 5
10 4
0 3 2
0 1 0
4 2 3
2 0 1
3 0 2
4 0 2
0 4 4
1 0 1
2 2 0
3 0 3
10 2
2 0 0
2 1 2
1 0 0
0 1 1
1 0 1
0 1 2
2 0 1
0 0 0
1 1 1
1 0 2
10 4
0 5 5
2 4 4
1 3 1
1 1 2
4 5 3
3 4 2
4 4 3
0 5 1
0 3 4
2 5 0
10 7
1 2 0
0 1 0
2 0 0
2 1 0
0 0 1
0 1 2
0 2 2
2 1 1
2 2 2
1 0 2
10 8
3 2 3
1 0 0
1 0 2
1 3 0
3 0 3
3 0 1
2 3 0
0 1 3
1 1 0
1 3 3
10 8
1 4 5
5 3 3
0 1 3
4 3 5
1 3 1
5 5 4
4 2 3
5 4 3
3 0 2
3 4 2
10 3
3 2 3
0 0 4
1 3 2
2 4 4
1 1 4
3 2 0
0 1 3
3 1 2
1 1 3
2 0 3
10 7
3 0 0
2 2 2
4 4 0
4 0 3
2 4 4
0 3 2
1 1 4
2 4 2
2 2 1
0 4 1
10 7
2 0 1
1 2 2
2 2 1
0 0 1
1 2 1
0 2 1
0 1 0
0 1 1
1 1 0
0 1 2
10 5
1 2 1
2 2 2
2 1 2
3 3 1
2 0 1
1 1 3
3 2 3
1 1 0
0 1 0
1 2 3
10 8
3 2 0
2 3 0
3 2 3
1 3 2
1 0 1
2 2 1
3 3 3
0 3 0
2 2 2
1 0 2
10 4
2 2 0
3 3 0
2 3 3
0 2 2
3 2 2
1 2 0
1 2 3
2 2 1
2 3 2
2 2 2
10 8
3 0 1
1 3 1
1 1 2
3 2 0
0 1 3
2 2 3
2 2 2
1 0 2
1 0 1
3 3 1
10 4
3 2 1
3 1 1
3 2 0
0 1 0
3 2 2
0 2 3
2 0 2
3 2 3
3 0 0
0 3 2
10 6
1 3 3
3 2 3
1 3 2
1 1 1
1 3 0
1 2 3
3 1 3
3 3 3
1 0 0
2 0 1
10 4
2 0 2
4 5 2
1 0 2
4 2 5
3 1 3
2 4 2
1 5 4
0 2 2
5 3 0
4 3 3
10 9
1 5 0
2 3 3
4 1 2
1 5 2
4 3 5
4 2 5
3 5 1
2 2 2
1 3 5
1 4 2
10 2
0 0 0
3 0 0
3 3 3
0 0 2
3 0 3
2 2 3
0 3 1
1 1 3
2 0 1
2 1 1
10 2
2 3 3
1 4 1
0 5 4
3 1 5
2 0 4
2 1 1
2 1 2
1 2 1
2 0 1
2 4 0
10 8
3 1 2
0 2 3
4 2 3
2 2 3
1 2 2
2 1 0
0 3 4
4 0 3
4 3 2
4 4 0
10 5
4 5 3
5 1 0
1 1 2
5 5 4
5 3 1
5 5 2
2 2 5
0 4 0
4 4 5
3 4 0
10 3
0 0 2
1 0 2
2 1 2
0 2 2
1 2 1
2 1 1
1 0 0
2 0 1
0 0 1
0 1 2
10 6
0 2 4
3 3 5
1 1 3
0 5 3
1 1 1
2 2 1
2 4 1
5 4 0
1 3 2
1 0 4
10 5
3 2 3
4 0 0
1 1 4
1 3 3
3 4 2
0 2 4
2 0 0
1 3 4
1 0 3
3 0 3
10 4
0 5 5
3 0 2
5 5 3
4 4 4
0 3 1
4 1 0
3 4 5
1 3 3
5 5 0
2 1 0
10 2
3 1 0
0 0 2
4 4 2
1 2 3
0 3 1
4 4 4
0 2 0
3 3 2
0 1 4
2 1 3
10 2
0 5 2
0 2 4
3 0 5
3 3 4
5 3 2
4 3 4
4 1 1
4 0 3
1 2 2
0 5 1
10 5
2 5 5
4 2 5
3 3 0
3 4 4
1 0 2
0 4 2
3 0 5
2 5 2
3 0 4
1 1 0
10 3
0 2 1
2 3 0
1 2 0
2 1 3
3 0 0
3 2 2
3 0 2
2 3 2
3 0 1
0 2 2
10 4
5 1 2
2 3 5
2 5 2
4 2 2
3 3 4
1 0 0
4 2 4
1 2 0
5 2 1
1 0 1
10 7
0 2 2
1 0 2
2 1 1
2 1 0
0 1 2
0 1 1
1 1 2
1 0 1
2 0 1
1 0 0
10 8
5 5 0
4 2 2
2 3 5
0 4 2
5 0 1
4 3 1
1 2 4
0 0 2
5 3 5
0 1 4
10 7
2 2 0
1 2 5
0 4 0
3 3 3
5 4 1
4 2 4
5 5 2
3 0 2
1 2 1
5 0 0
10 2
4 3 3
1 0 0
4 2 2
2 1 4
2 4 2
2 4 4
1 2 2
0 1 2
3 4 4
2 2 3
10 8
3 0 3
2 2 0
2 1 3
2 3 0
1 2 0
0 1 1
3 2 0
0 2 3
2 1 2
2 1 1
10 8
3 2 0
1 2 2
1 3 3
0 1 3
3 3 0
0 0 0
1 0 2
0 2 2
2 1 3
3 3 2
10 4
0 1 2
1 1 2
1 0 2
1 2 0
2 1 2
1 0 1
2 0 2
0 0 1
2 2 2
0 0 0
10 2
1 2 1
0 2 1
2 1 2
1 0 1
0 0 2
0 2 0
1 0 0
1 1 2
2 2 0
2 0 0
10 3
1 2 0
0 1 0
0 1 1
1 3 3
1 1 3
0 3 0
3 2 0
1 3 0
3 3 2
2 3 0
10 9
0 0 3
2 4 0
1 4 4
1 3 0
3 0 4
1 4 0
2 0 3
2 4 4
0 1 2
3 2 3
10 2
4 4 3
4 3 4
1 1 4
4 0 0
1 3 0
0 0 4
5 4 4
5 3 4
0 1 3
4 3 2
10 4
0 2 0
3 0 2
0 1 0
3 3 1
1 2 1
3 3 3
0 0 1
1 3 1
3 3 0
2 1 3
10 3
0 3 3
1 2 2
2 2 0
0 0 3
1 0 1
2 3 2
3 2 0
1 3 2
2 3 1
3 2 3
10 4
3 2 1
2 1 2
3 0 2
2 2 1
1 3 2
0 2 1
3 0 3
0 3 2
0 2 0
1 3 3
10 3
0 2 0
1 1 2
1 1 0
0 0 0
0 1 1
2 0 1
1 0 1
2 1 1
2 2 1
1 0 2
10 2
1 0 2
0 1 0
2 0 2
0 0 2
0 2 1
1 1 1
1 0 0
2 2 1
1 2 0
2 0 0
10 8
1 0 2
3 1 3
3 2 2
0 2 1
1 2 2
0 0 1
0 3 1
3 3 2
2 1 3
2 0 3
10 5
2 1 0
1 1 1
1 2 2
1 2 0
0 2 2
2 2 1
1 0 0
0 1 0
2 1 2
2 0 0
10 3
2 2 3
0 3 0
3 3 1
1 3 2
2 1 2
0 0 3
0 2 2
2 0 1
3 2 3
3 1 0
10 3
4 0 2
1 3 3
2 2 1
4 1 2
2 1 4
0 3 0
0 0 1
0 4 4
3 2 1
4 2 3
10 6
0 3 3
0 3 1
0 1 3
1 0 3
3 3 3
0 1 2
3 3 0
1 0 1
3 2 1
3 0 3
10 3
3 0 2
0 2 2
3 0 3
3 2 2
2 1 2
2 2 1
1 0 1
2 2 0
2 0 3
0 3 0
10 2
2 3 3
2 3 2
2 1 3
1 2 0
0 0 3
3 0 3
2 0 2
3 0 1
3 2 0
1 1 2
10 9
2 4 2
1 0 0
4 2 3
3 2 2
2 2 4
1 0 4
1 3 3
1 4 3
4 3 3
2 4 4
10 9
3 1 2
2 2 1
1 0 1
0 1 2
3 2 2
3 3 0
1 3 3
1 1 2
2 0 3
1 3 0
10 9
0 2 3
4 4 4
3 1 2
3 1 3
2 1 4
3 3 2
4 0 0
4 2 0
0 0 0
4 3 1
10 9
2 1 0
1 1 2
2 3 1
3 1 0
3 3 3
2 0 0
0 1 0
0 2 3
2 1 1
2 3 0
10 5
1 1 0
2 2 0
1 0 0
1 0 1
0 1 0
1 2 1
0 0 1
0 0 2
2 2 1
0 1 1
10 9
2 3 0
3 1 3
1 1 3
0 3 1
3 0 1
0 2 0
0 2 3
3 1 0
2 2 2
0 3 3
10 5
1 2 2
1 1 0
2 2 0
3 1 0
3 0 0
3 1 3
1 2 3
1 1 1
2 3 2
3 3 1
10 2
4 1 5
3 5 1
2 4 4
4 0 4
1 4 4
0 3 2
4 1 0
1 4 0
0 5 3
2 5 5
10 4
4 4 1
3 1 1
2 0 3
1 2 3
3 0 0
3 4 2
1 0 1
2 3 1
0 4 2
3 2 2
10 3
2 2 1
2 0 0
0 0 1
1 1 2
0 2 2
2 1 1
1 2 0
0 2 1
1 2 1
1 2 2
10 7
1 2 2
4 1 2
3 5 5
5 2 0
1 3 5
1 4 3
2 3 2
1 5 2
0 2 5
2 4 0
10 4
3 4 0
5 0 4
3 0 3
4 1 5
5 2 1
2 2 3
2 4 3
2 0 2
4 5 1
1 4 4
10 3
1 1 4
3 1 0
3 4 0
0 4 5
0 1 0
3 0 4
4 4 3
3 2 4
5 2 5
5 0 3
10 7
2 1 2
3 2 3
2 0 2
3 0 1
3 0 3
1 0 0
2 2 0
3 3 0
0 2 3
3 1 0
10 5
3 2 1
4 4 1
0 0 3
0 2 4
2 4 3
1 3 2
4 4 0
3 4 0
2 4 2
2 0 1
10 8
2 2 3
1 4 4
4 2 0
4 0 3
2 1 0
4 3 1
1 1 0
2 4 3
4 1 2
0 1 2
10 6
3 2 3
3 1 3
3 0 1
3 3 0
0 2 0
2 0 3
1 1 2
2 3 1
2 3 3
3 0 3
10 9
1 1 1
1 3 0
2 0 2
1 3 3
1 2 1
3 1 2
3 0 3
0 2 3
1 0 1
3 2 2
10 9
0 1 2
1 3 3
1 0 3
2 3 2
3 1 0
1 2 3
2 2 2
2 0 3
3 0 2
0 0 0
10 2
0 2 2
1 2 0
2 0 2
2 2 1
0 0 1
1 2 1
2 1 2
1 1 2
0 2 0
0 1 0
10 3
3 2 2
1 3 2
0 1 1
3 0 2
0 1 3
1 0 3
2 0 1
1 0 2
1 0 0
3 3 3
10 9
0 0 4
1 1 2
5 4 3
0 3 2
4 5 4
2 1 5
0 3 0
5 5 2
0 1 2
1 4 0
10 5
5 5 0
0 4 1
3 1 1
2 4 1
1 0 1
1 0 4
5 0 1
2 0 1
3 2 3
4 0 4
10 7
0 0 1
2 1 1
0 2 2
1 1 0
2 0 1
1 0 0
0 1 1
0 2 0
0 1 2
1 1 1
10 7
1 0 1
0 1 1
1 2 0
2 1 2
1 1 2
1 0 0
0 1 2
0 0 1
2 0 2
0 1 0
10 5
1 3 0
0 1 2
3 0 2
1 1 3
3 1 1
1 0 2
0 3 2
1 1 1
3 3 1
1 2 0
10 4
1 0 1
1 2 1
1 2 0
2 0 1
0 2 0
0 2 2
2 2 1
1 1 0
2 0 0
2 2 2
10 3
1 1 0
1 2 1
2 0 1
2 0 0
0 2 0
1 0 1
0 2 1
2 0 2
0 1 1
0 0 2
10 6
3 1 3
3 0 3
0 0 0
1 3 3
0 1 2
1 0 3
2 1 3
2 0 3
2 0 2
2 0 0
10 4
5 2 3
0 4 1
4 1 2
4 5 2
2 2 3
4 3 2
1 5 3
4 2 3
3 3 4
4 3 4
10 5
0 1 1
2 1 0
1 2 2
1 2 1
1 0 2
2 0 1
2 2 2
1 2 0
0 2 1
0 0 0
10 5
1 0 1
1 3 4
3 4 5
0 2 1
4 5 3
1 0 5
1 4 2
3 2 2
5 4 5
4 4 1
10 4
4 1 0
0 2 3
3 3 3
0 0 5
5 5 3
3 3 5
2 4 3
0 2 1
1 4 4
5 5 0
10 7
0 3 2
3 3 1
2 3 1
0 1 2
0 2 2
0 2 3
0 1 3
1 2 2
0 2 0
2 2 0
10 3
0 1 5
2 4 0
5 4 5
1 2 4
5 0 0
0 4 2
2 1 4
1 2 3
3 1 0
3 5 2
10 9
0 1 1
3 1 1
3 0 1
4 4 4
2 1 4
2 0 2
2 4 0
0 2 4
0 0 3
4 2 2
10 2
3 1 0
2 2 0
3 0 2
0 1 0
2 3 0
0 2 2
1 3 1
2 0 2
2 1 1
3 3 2
10 8
1 0 1
0 3 3
1 1 2
3 1 2
3 3 2
3 2 1
0 3 2
0 1 1
2 1 0
1 1 0
10 9
2 0 3
0 0 1
3 5 2
0 3 3
3 1 5
1 2 1
4 0 2
4 0 0
1 5 4
2 0 2
10 7
1 3 3
3 1 0
2 3 2
2 2 0
3 3 1
1 2 2
0 1 3
3 3 2
0 0 2
1 0 0
10 8
2 2 1
1 0 2
1 0 0
0 1 1
1 1 0
1 2 2
2 0 1
0 1 2
1 2 1
1 0 1
10 6
3 0 1
3 4 4
5 3 3
2 1 4
4 3 3
4 1 1
4 3 1
3 5 4
3 2 1
1 1 1
10 4
2 2 2
4 5 1
0 2 0
2 3 2
4 2 2
3 1 4
5 1 0
5 1 2
1 4 0
4 0 3
10 4
1 2 2
2 0 0
1 0 0
0 2 1
2 2 2
0 1 2
0 0 1
1 1 0
1 0 1
2 2 1
10 9
2 4 4
0 0 3
3 1 0
4 5 2
4 1 4
2 3 2
3 5 3
5 4 4
3 4 0
2 0 5
10 4
1 1 1
4 2 1
0 3 3
3 0 3
3 2 1
1 2 1
0 2 2
3 0 1
1 2 3
4 1 2
10 7
0 2 2
2 0 2
1 0 0
2 1 1
0 1 0
1 1 1
1 0 1
0 2 1
0 1 2
1 2 1
10 7
3 1 1
2 0 4
4 0 0
1 0 0
0 4 2
1 1 2
2 4 3
1 4 0
4 2 2
1 3 1
10 2
0 4 2
3 4 2
4 2 1
1 1 2
2 4 1
1 2 0
4 3 4
3 3 1
0 3 2
1 2 4
10 5
4 3 1
4 4 3
0 4 0
3 3 2
0 2 1
0 4 3
0 2 3
4 0 3
4 2 4
3 0 3
10 7
2 1 1
2 2 1
1 1 1
2 3 1
1 2 4
1 0 2
4 3 0
3 1 0
0 4 1
2 0 4
10 7
1 2 2
0 0 2
1 2 1
1 0 0
2 2 0
0 2 2
2 1 0
0 1 1
2 1 1
2 0 0
10 2
1 2 3
2 3 2
1 2 0
1 1 2
0 3 0
0 0 3
1 3 0
3 0 2
2 1 3
2 0 1
10 7
3 0 4
4 3 4
2 1 1
1 0 2
2 0 4
4 4 4
3 3 0
0 0 2
1 0 4
2 2 4
10 3
0 3 3
0 1 1
1 4 2
4 1 4
2 2 3
4 2 1
3 1 0
1 1 2
3 1 3
4 5 0
10 5
1 1 1
0 1 2
0 0 0
3 3 0
1 3 3
0 2 3
3 1 1
3 2 2
2 3 3
3 2 0
10 8
2 2 1
2 0 0
0 0 1
1 2 0
2 1 1
0 1 1
1 2 1
0 2 2
2 2 2
1 1 1
10 2
0 0 0
0 1 2
0 2 0
2 0 1
1 1 0
1 0 1
1 1 2
1 1 1
0 0 2
2 1 2
10 3
3 2 2
0 2 0
2 1 1
0 0 1
1 1 3
0 1 2
2 3 1
3 1 0
0 3 3
0 0 3
10 8
0 1 0
0 2 1
0 1 2
3 2 3
2 3 2
3 1 1
2 2 1
1 3 3
1 1 2
3 2 2
10 2
1 1 0
0 0 0
0 2 2
2 1 1
1 2 0
0 0 2
0 0 1
2 0 0
1 0 0
1 0 2
10 3
0 1 3
2 3 3
0 3 0
2 2 3
2 0 3
3 0 0
0 0 3
1 1 2
0 0 0
3 2 2
10 6
5 5 0
3 5 3
4 4 4
3 4 3
0 1 5
5 3 2
5 2 1
5 4 2
4 2 0
0 2 5
10 4
1 1 2
2 1 2
2 0 1
1 1 1
1 2 2
1 0 0
1 2 0
2 0 0
0 0 0
0 2 2
10 2
0 4 5
2 0 3
2 3 1
5 0 5
5 2 3
1 3 0
4 0 0
0 4 0
1 2 4
5 0 0
10 2
4 1 5
0 4 0
4 2 5
4 1 1
0 4 1
3 3 4
4 2 4
0 1 3
1 2 2
4 1 0
10 8
2 1 2
1 1 1
2 0 0
1 1 2
1 2 1
2 0 2
0 1 1
0 0 1
0 2 0
1 2 0
10 9
2 0 0
1 1 0
2 2 2
1 2 0
2 1 2
2 2 1
1 1 2
0 0 1
1 0 0
2 0 2
10 4
2 1 0
1 2 0
2 0 2
1 0 1
0 1 1
0 0 1
1 0 0
2 1 1
0 2 0
0 1 0
10 5
1 2 1
2 0 1
2 1 1
1 1 2
0 1 0
0 2 2
2 2 0
1 0 2
2 0 0
2 2 2
10 2
3 2 1
5 3 0
4 5 2
1 4 5
1 3 1
0 2 3
1 3 4
1 1 4
4 4 1
4 0 4
10 2
3 0 0
3 3 0
0 3 3
2 0 2
3 0 2
0 2 2
0 0 2
0 3 0
3 2 0
2 0 1
10 3
2 1 1
1 2 3
1 1 3
3 3 3
2 0 0
1 3 3
1 3 1
3 1 2
2 3 0
2 2 1
10 4
0 1 2
0 0 0
2 2 0
2 1 0
2 1 1
2 0 2
0 0 2
2 0 0
0 1 1
1 2 0
10 3
4 0 5
1 3 1
3 3 2
5 2 3
3 3 5
4 3 0
3 3 0
1 2 2
5 0 5
0 5 5
10 5
1 3 2
2 1 3
2 0 1
1 1 3
3 2 1
3 1 2
0 2 3
3 0 2
0 3 2
1 3 3
10 2
2 1 2
0 0 1
1 0 1
2 0 1
0 2 1
1 0 0
2 2 1
0 1 2
1 1 1
0 0 0
10 6
0 1 2
0 2 2
1 0 0
0 1 1
2 2 2
2 0 1
2 1 1
0 2 0
2 2 0
1 2 0
10 2
0 2 4
2 0 0
2 4 0
0 1 1
3 4 2
0 4 4
2 4 2
0 2 1
2 0 2
1 2 3
10 5
3 1 4
3 2 2
3 4 0
1 1 2
2 3 1
4 0 3
0 1 4
1 0 4
0 2 4
3 1 0
10 9
2 0 0
3 0 1
2 1 4
3 0 3
0 1 3
1 0 4
2 1 2
4 2 1
2 0 4
4 3 3
10 2
1 4 5
3 5 3
5 2 4
0 5 0
1 3 4
0 5 3
4 3 4
1 5 2
3 2 0
4 5 2
10 5
2 0 3
0 3 3
3 2 2
3 2 0
0 1 3
1 3 0
2 3 1
3 2 3
2 1 3
1 2 2
10 4
5 0 0
3 4 5
3 1 1
0 0 3
1 5 1
4 1 3
5 3 4
3 4 0
1 4 4
5 5 5
10 5
2 1 1
2 0 1
0 1 2
1 0 1
0 0 0
2 2 2
2 1 2
0 2 2
1 2 0
0 0 2
10 9
0 0 2
1 2 4
2 5 5
5 1 5
1 1 2
3 3 1
0 1 0
2 4 3
3 0 1
1 0 0
10 4
3 0 1
4 1 3
4 1 0
3 3 1
0 4 4
0 0 4
3 4 1
4 3 0
1 4 3
4 0 2
10 5
1 0 2
2 2 3
1 4 4
4 0 0
2 2 1
4 3 2
0 0 3
0 1 0
4 3 3
1 3 1
10 3
5 1 0
0 3 5
0 2 0
1 4 5
0 1 5
1 4 2
1 5 5
5 5 2
0 4 4
0 3 3
10 6
1 2 5
1 2 4
5 3 3
1 4 2
0 3 5
1 4 0
2 4 5
2 2 1
2 1 1
1 2 0
10 3
1 1 0
2 0 2
2 2 0
2 2 3
1 2 3
0 1 0
2 1 1
1 2 1
0 2 3
2 3 2
10 3
1 2 2
1 0 1
1 2 1
1 0 0
2 2 0
2 0 2
1 1 1
1 2 0
2 1 1
2 2 1
10 2
1 0 0
0 2 2
3 3 1
3 3 3
0 1 1
0 2 3
3 0 0
2 3 2
2 2 1
2 2 2
10 6
2 2 2
2 0 1
1 2 1
0 2 2
2 1 0
0 0 2
2 2 1
2 2 0
0 1 0
0 1 1
10 9
5 3 3
2 0 5
1 0 2
0 5 5
0 1 0
2 4 0
2 2 3
4 0 2
4 1 0
3 4 0
10 5
2 1 0
0 1 1
1 2 2
0 0 0
0 2 2
1 1 2
2 2 2
2 0 2
1 1 1
2 2 0
10 5
0 4 2
3 1 4
4 0 1
1 0 2
0 2 0
1 2 1
4 3 4
3 0 3
4 0 0
1 1 0
10 4
1 4 3
3 0 2
1 0 0
4 3 1
1 4 2
4 4 1
4 3 3
1 2 1
3 3 4
4 0 0
10 9
4 3 5
1 1 3
2 2 3
3 3 4
3 2 0
0 5 1
5 4 5
2 2 5
3 1 1
5 0 3
10 4
2 0 1
0 2 0
0 0 2
2 2 2
2 2 1
0 1 0
1 2 0
2 0 0
2 1 0
2 1 2
10 6
4 0 1
5 2 1
5 5 3
1 0 4
1 5 4
1 3 1
3 5 0
0 0 5
0 2 4
1 3 2
10 9
2 2 2
2 2 0
1 3 0
0 3 2
3 3 0
0 0 0
1 3 2
3 2 1
1 2 1
1 3 3
10 3
1 0 1
2 2 3
3 4 4
4 1 3
5 4 3
3 2 3
3 2 0
5 4 4
2 5 5
0 4 2
10 9
4 4 3
3 2 3
0 1 3
2 1 1
2 3 0
2 4 4
3 3 1
1 4 2
2 1 3
4 4 2
10 5
0 2 2
0 2 0
1 0 2
0 1 0
2 2 2
0 1 2
0 1 1
1 1 0
2 1 0
1 2 2
10 7
1 2 2
2 2 3
3 3 4
0 0 3
3 1 4
3 0 2
0 0 0
2 4 4
1 4 0
3 0 3
10 6
0 0 0
2 0 2
1 1 2
1 2 0
0 0 2
0 1 1
0 1 2
2 0 0
0 1 0
2 1 2
10 7
2 3 4
1 0 4
2 4 1
0 3 0
3 2 3
1 3 3
1 0 1
1 1 2
4 4 4
0 1 3
10 6
2 5 0
3 4 0
2 0 2
0 3 3
0 0 3
1 5 5
4 4 0
2 0 1
0 0 2
2 2 1
10 3
1 1 0
0 0 0
2 1 1
0 1 0
0 0 2
1 2 0
0 2 1
0 1 2
1 1 1
2 2 2
10 9
0 2 0
2 1 0
0 0 2
0 1 1
0 0 1
0 0 0
0 1 0
1 0 2
1 2 1
2 0 2
10 5
1 4 2
2 2 1
1 1 2
3 4 0
0 2 4
4 3 3
1 1 0
3 2 1
0 1 2
0 0 2
10 3
1 3 1
4 2 3
4 4 0
3 4 4
0 4 4
0 3 1
2 0 4
2 2 2
3 3 3
0 3 4
10 6
1 0 2
0 0 0
0 1 2
2 1 2
2 0 0
2 2 0
0 2 2
1 2 0
2 1 1
2 1 0
10 6
0 2 0
2 0 2
1 2 0
2 2 0
0 0 0
1 2 2
2 1 2
0 1 2
0 1 1
1 2 1
10 5
0 1 1
2 2 1
1 2 2
0 2 2
2 0 1
1 0 1
2 2 0
1 0 0
1 2 1
0 2 1
10 6
0 1 2
1 1 1
0 0 1
2 1 2
1 2 2
1 0 1
2 2 2
0 1 1
2 1 0
1 2 0
10 7
1 4 4
4 3 3
2 4 1
4 1 2
3 4 1
2 3 2
4 3 4
3 4 0
2 0 0
1 4 0
10 7
3 2 0
2 1 3
1 1 2
2 3 2
1 0 0
3 3 1
0 2 3
3 0 3
1 2 2
3 3 2
10 5
2 0 3
4 4 2
0 0 1
2 1 0
4 2 0
4 4 1
0 1 0
1 2 1
0 3 1
2 3 2
10 2
1 2 2
2 1 2
2 1 1
1 1 0
2 2 1
2 2 2
1 0 0
0 0 1
2 0 0
0 2 1
10 7
2 2 0
2 0 0
1 2 0
2 0 2
1 2 1
0 1 2
1 0 1
1 0 0
2 1 2
2 2 2
10 2
1 1 2
2 1 4
0 1 1
1 2 3
4 1 0
3 1 4
2 3 1
1 0 0
4 0 4
3 2 4
10 8
2 0 1
2 2 1
2 1 1
0 0 1
1 1 0
1 1 1
2 0 0
2 2 0
0 2 1
0 1 0
10 9
1 0 1
1 0 2
2 2 3
3 0 0
2 0 1
1 2 3
1 3 0
3 2 2
2 1 1
3 3 3
10 2
0 0 0
1 2 2
1 0 1
0 2 2
1 0 2
2 0 2
1 2 0
2 1 0
0 1 0
2 2 1
10 6
2 2 3
1 3 3
2 2 0
2 1 2
3 2 2
0 1 0
2 3 2
1 2 2
3 2 3
0 1 1
10 9
0 0 1
1 1 1
1 0 1
2 1 0
1 0 2
2 2 2
1 2 0
0 2 1
0 2 0
2 0 1
10 5
4 1 4
3 0 3
2 0 1
1 2 2
0 1 1
1 1 3
2 2 2
4 3 4
2 2 3
2 0 2
10 6
0 1 3
3 4 0
4 2 0
2 1 2
3 2 4
3 2 1
1 4 0
4 3 0
1 3 1
4 4 4
10 9
2 0 4
1 1 0
5 3 1
4 1 2
5 3 3
0 4 1
3 5 4
1 0 0
1 0 3
4 0 3
10 7
2 2 2
2 1 0
2 2 1
0 0 1
1 1 1
2 0 2
1 1 2
1 1 0
1 0 0
2 2 0
10 6
2 5 1
4 0 2
3 1 1
5 0 4
5 0 1
0 1 4
4 0 0
5 4 2
0 0 0
4 1 5
10 7
4 3 3
1 4 5
0 0 1
1 3 2
5 0 2
5 0 1
4 3 2
5 3 2
4 4 0
2 2 4
10 9
0 2 1
1 1 3
1 1 4
4 1 3
2 3 1
3 1 3
3 2 0
4 0 4
0 2 0
2 0 1
10 3
2 2 0
3 1 0
0 3 2
1 2 3
2 3 0
3 2 1
2 0 1
2 1 2
0 2 1
3 0 1
10 8
1 2 2
0 3 0
3 0 0
3 0 3
1 1 1
3 2 2
3 1 1
2 1 2
0 2 2
3 1 3
10 2
2 1 0
1 2 1
2 3 3
2 3 0
1 1 0
3 2 0
0 2 3
1 3 0
1 1 1
0 4 0
10 4
2 2 2
2 0 1
0 2 2
1 2 1
2 2 1
1 1 2
1 2 2
0 2 0
1 2 0
0 1 1
10 7
3 0 4
0 5 0
1 4 5
1 0 3
2 3 2
4 2 0
2 2 4
3 4 2
5 5 0
0 0 5
10 9
4 1 3
0 2 0
0 1 1
1 2 1
0 3 2
0 3 4
0 1 0
2 3 4
3 1 1
2 3 2
10 9
2 2 4
1 0 1
3 1 5
2 5 4
4 2 1
0 4 5
4 1 4
4 2 2
3 5 3
2 4 0
10 6
1 0 0
0 0 0
1 0 1
1 0 2
0 2 0
0 2 2
2 1 0
0 0 1
2 1 1
0 1 2
10 6
1 2 5
0 0 0
4 4 0
0 2 4
5 5 2
5 5 4
3 5 5
0 5 4
3 3 5
5 4 1
10 6
3 1 0
0 3 1
3 2 2
0 2 3
2 2 0
0 0 3
2 0 1
2 2 1
2 0 2
0 1 3
10 7
0 0 2
1 0 2
1 2 1
2 0 2
0 1 1
1 2 0
2 1 1
0 0 1
0 1 2
2 2 0
10 5
0 2 1
1 2 3
0 1 0
1 0 1
3 0 3
2 1 3
0 0 2
2 3 2
0 2 0
3 0 1
10 8
4 3 0
5 5 0
2 1 5
5 4 5
5 0 5
2 4 0
5 2 3
1 1 1
0 4 1
5 2 1
10 4
3 0 1
3 4 5
2 1 5
0 2 2
1 2 2
3 3 0
4 4 3
4 1 1
2 1 3
2 2 1
10 8
1 0 1
1 2 3
0 2 1
3 0 3
0 1 3
3 2 3
2 0 3
0 2 0
3 1 3
3 0 1
10 3
0 5 2
3 5 3
0 3 3
1 2 5
1 4 3
5 2 0
3 5 0
4 4 0
4 0 0
1 1 5
10 2
3 3 2
4 4 3
2 2 3
2 1 1
2 1 4
0 2 3
1 0 4
2 0 2
4 1 2
4 4 2
10 8
4 2 3
5 0 4
2 1 0
0 3 5
2 4 5
0 5 3
5 0 3
3 0 2
5 5 2
2 5 5
10 2
0 1 0
1 0 0
2 2 1
0 2 1
0 0 1
2 2 2
2 0 1
0 0 2
1 2 0
2 1 1
10 9
4 1 4
3 0 0
0 3 3
2 3 4
2 3 2
3 1 0
2 0 0
1 1 1
0 0 3
1 3 3
10 6
4 0 0
1 1 2
5 0 4
1 2 1
2 4 0
4 3 2
4 0 5
2 0 0
3 3 2
3 0 2
10 4
1 1 2
1 4 1
0 1 2
1 2 3
4 3 3
4 2 2
1 0 3
3 1 4
1 4 3
3 4 4
10 8
5 2 2
2 5 1
3 1 1
3 2 4
4 5 2
0 4 2
2 0 3
2 0 0
4 4 3
2 1 1
10 7
3 1 3
1 0 4
3 0 0
0 3 1
0 3 2
2 4 2
0 4 1
4 3 1
1 1 1
1 1 3
10 8
0 2 2
1 2 2
0 2 0
1 1 2
2 0 2
1 1 0
0 0 1
0 1 0
1 0 1
1 0 2
10 6
2 0 1
0 0 1
1 1 0
1 1 1
1 0 2
1 0 0
0 1 1
0 1 0
1 2 1
1 0 1
10 6
3 3 4
0 3 3
4 4 0
4 0 2
4 1 1
4 0 0
3 1 0
1 3 4
1 2 4
1 1 2
10 2
2 4 0
0 2 1
2 3 0
1 2 1
3 4 4
1 3 2
4 1 1
2 4 3
0 3 0
1 2 2
10 5
1 3 3
1 2 3
0 3 1
3 0 1
0 2 3
3 3 4
2 1 0
1 1 4
3 3 3
3 1 0
10 9
1 3 3
1 2 0
3 1 0
0 2 3
2 0 4
4 4 4
0 1 3
1 1 0
2 3 3
2 0 2
10 4
2 1 0
0 2 1
2 2 1
1 0 0
1 2 2
2 0 2
2 0 0
0 0 1
0 2 2
1 2 0
10 8
3 3 0
0 0 2
2 1 4
1 3 0
0 1 2
1 1 3
1 4 1
1 2 0
3 3 1
2 4 4
10 3
3 1 3
2 3 2
3 0 0
2 2 1
2 0 3
3 1 0
1 2 2
0 2 0
3 0 2
0 3 1
10 4
4 0 3
1 2 3
5 5 5
5 2 2
5 0 5
0 0 4
3 3 4
0 5 2
4 1 4
0 0 1
10 7
3 2 0
2 2 3
1 3 0
1 1 0
3 4 2
4 2 2
3 4 0
0 2 4
3 4 1
1 4 1
10 6
2 0 3
0 0 2
0 3 2
1 1 2
1 2 0
3 3 2
1 3 3
0 1 2
1 2 3
1 1 3
10 6
0 1 1
2 1 0
0 2 2
1 1 1
2 0 1
2 2 2
0 1 0
2 1 2
0 2 1
1 1 0
10 6
0 1 2
0 0 0
0 1 1
1 1 0
2 0 1
0 0 1
1 0 2
1 2 0
1 2 2
0 2 1
10 2
1 2 1
0 1 0
2 0 2
2 3 2
2 2 3
3 1 0
2 1 3
3 3 0
2 2 0
1 0 0
10 5
0 0 1
2 2 2
2 0 2
0 1 1
1 1 0
1 2 1
1 0 2
0 0 2
2 1 1
0 1 0
10 2
1 2 0
2 1 2
2 1 0
0 1 0
2 1 1
2 2 1
0 2 1
2 0 2
1 1 0
0 1 1
10 6
1 0 1
1 1 1
1 2 2
0 1 1
2 1 0
0 2 1
2 0 2
2 0 1
0 1 2
1 0 2
10 7
1 0 2
2 1 1
1 0 1
2 2 1
2 1 0
2 2 0
0 2 1
0 1 2
1 1 1
0 0 2
10 7
1 2 1
2 2 0
0 0 2
1 2 0
1 1 1
1 0 1
0 2 2
0 2 1
2 0 0
2 2 1
10 9
4 4 2
2 3 1
4 1 0
4 0 1
2 2 1
3 1 0
2 2 3
1 3 4
1 2 4
3 1 4
10 7
2 0 0
5 4 2
5 3 0
1 5 4
4 3 5
0 1 2
5 0 0
5 2 4
4 4 3
1 4 5
10 9
1 1 2
0 1 2
2 2 2
1 1 1
0 2 0
1 2 1
2 1 1
1 0 2
2 2 1
1 0 0
10 9
2 0 2
3 3 2
1 1 0
1 0 3
0 1 0
1 1 3
0 2 1
2 2 3
1 0 2
3 3 0
10 7
4 3 0
0 3 4
0 1 0
2 1 1
3 2 0
4 0 1
1 3 2
4 3 1
4 3 3
1 1 2
10 6
2 3 4
1 3 3
5 0 3
4 4 5
3 0 1
0 0 1
5 2 0
4 3 3
0 2 2
3 5 3
10 2
2 4 1
3 1 4
3 0 5
1 5 5
0 2 4
5 2 4
3 4 1
2 1 2
1 0 0
5 1 2
10 6
2 0 1
1 3 3
3 2 4
2 3 1
1 1 4
1 2 2
4 3 4
3 2 0
0 3 1
1 3 1
10 5
1 0 0
1 3 3
2 0 3
3 1 2
3 1 3
1 0 2
0 2 0
1 2 2
2 2 0
3 2 2
10 4
2 1 2
4 2 2
0 4 0
0 3 1
3 4 2
2 2 2
0 1 2
4 4 3
1 4 1
2 3 2
10 8
4 2 2
3 4 1
3 2 4
3 0 1
4 3 2
0 4 3
0 2 2
4 2 1
2 0 2
3 2 1
10 3
5 3 4
0 2 0
1 0 1
3 4 3
2 3 1
4 2 5
4 5 2
3 0 0
1 4 4
5 5 4
10 7
1 2 1
3 2 4
3 5 4
3 4 1
5 2 0
4 3 0
5 3 3
0 5 4
0 3 5
4 1 5
10 9
3 2 3
3 4 3
1 0 0
2 1 4
3 2 4
3 2 2
1 0 3
3 3 4
1 2 0
4 2 4
10 7
2 2 4
3 3 1
0 1 4
4 1 0
3 4 4
1 0 4
2 3 3
2 3 2
4 2 4
2 1 3
10 4
1 0 2
1 2 2
2 0 2
3 0 2
1 2 0
2 0 1
1 3 3
0 2 1
2 1 3
0 1 1
10 3
2 1 0
1 2 3
2 0 2
2 3 3
0 1 1
3 3 1
2 3 0
3 0 1
3 3 3
2 0 1
10 4
1 4 5
2 0 1
0 5 3
1 5 0
3 1 2
1 0 5
4 3 2
4 0 2
2 4 5
4 1 0
10 6
0 0 0
4 1 0
1 4 2
4 4 0
1 0 0
1 1 2
4 1 3
1 3 3
3 2 2
3 0 2
10 3
1 2 4
0 0 4
5 5 0
5 3 1
0 0 2
1 3 5
0 5 1
0 1 0
4 1 5
5 4 4
10 8
2 4 1
5 1 5
0 2 4
0 0 0
5 4 0
5 3 1
4 2 1
1 5 5
4 3 4
2 5 4
10 9
1 5 0
4 0 1
0 5 1
5 4 3
4 2 1
4 4 2
3 5 3
0 2 3
2 2 3
4 5 0
10 6
0 0 0
1 3 1
0 0 2
2 2 3
2 1 0
1 1 2
1 2 0
2 3 1
0 2 2
3 2 1
10 8
3 2 2
4 2 1
2 1 2
1 4 4
1 3 4
1 0 3
2 3 0
3 2 3
4 2 4
4 0 1
10 8
4 1 2
2 3 0
1 4 0
1 2 2
1 3 2
4 3 4
3 2 2
4 2 0
4 3 3
3 4 0
10 7
2 0 3
1 0 0
3 0 2
3 3 0
1 1 3
3 2 0
3 2 1
3 0 0
1 2 0
1 2 1
10 8
4 0 1
4 1 4
2 3 2
5 0 1
1 0 5
1 5 3
0 5 4
1 0 0
2 3 3
2 1 5
10 3
2 1 2
2 0 1
2 0 0
1 2 1
0 0 2
2 1 0
1 0 0
1 0 2
2 2 2
0 2 2
10 2
0 4 5
2 0 2
3 1 5
3 2 2
3 2 1
2 5 0
3 5 3
4 1 4
5 1 2
2 5 1
10 4
1 1 0
1 0 2
0 1 0
0 2 0
2 1 2
0 2 1
2 1 0
2 2 2
1 2 1
2 1 1
10 7
2 5 5
1 4 1
0 4 2
2 0 2
0 5 0
4 1 0
3 5 1
1 0 2
0 2 3
1 1 0
10 2
0 3 2
3 3 3
3 2 1
3 1 3
0 0 1
0 2 2
1 3 2
3 0 3
1 0 2
0 1 3
10 4
3 3 1
1 0 2
1 3 0
3 0 0
4 4 2
2 3 2
0 0 3
4 3 1
3 4 3
0 4 2
10 4
3 2 0
2 1 1
3 3 4
2 4 4
0 3 0
2 2 1
0 4 3
1 3 0
3 0 1
0 4 0
10 5
3 2 1
0 3 0
2 3 3
1 0 3
3 1 3
1 1 2
2 1 3
3 2 0
0 2 3
1 1 1
10 7
2 3 0
1 2 1
1 2 2
3 0 1
2 0 1
0 0 2
1 0 3
1 3 3
0 1 1
0 0 1
10 8
3 2 0
1 1 0
0 1 0
0 2 2
1 1 2
3 1 3
1 2 0
0 2 3
2 3 1
2 1 2
10 9
3 2 1
3 4 3
1 2 3
5 4 5
5 5 4
1 5 3
0 4 4
2 4 0
5 0 1
3 0 2
10 8
0 2 1
0 1 1
2 0 0
0 0 2
0 0 1
1 2 1
2 2 1
2 0 1
1 1 1
1 0 1
10 3
3 4 3
1 3 1
3 0 0
4 2 3
1 0 3
0 0 4
1 3 4
2 3 2
4 3 4
0 0 3
10 4
2 1 1
1 1 1
1 2 2
1 0 2
0 0 1
2 2 0
2 1 0
0 1 2
2 0 2
0 1 0
10 6
0 0 1
0 2 2
1 1 1
2 1 2
1 1 0
0 1 0
0 1 2
1 2 2
1 2 1
2 2 1
10 7
1 0 0
0 0 0
2 1 0
1 1 1
1 1 0
0 1 2
2 1 1
0 2 0
0 1 0
0 2 1
10 5
5 3 0
4 3 2
4 5 3
1 2 0
0 5 1
5 1 4
5 1 0
3 4 4
5 0 5
5 3 2
10 4
3 3 0
0 1 2
1 3 3
1 1 1
2 1 3
2 1 2
3 3 1
2 0 3
3 2 1
2 2 2
10 7
0 0 4
3 3 1
1 2 2
3 2 3
2 2 2
3 0 0
4 1 0
4 0 2
4 3 3
3 4 2
10 3
0 3 4
3 3 0
0 0 2
1 4 1
4 0 0
1 2 0
1 4 2
2 4 1
0 1 0
0 3 2
10 6
4 1 3
0 1 2
1 3 3
2 1 5
4 3 1
5 3 2
2 3 4
5 2 0
5 4 4
1 1 0
10 2
2 2 0
0 1 2
2 1 0
2 2 1
2 2 2
1 2 1
2 1 1
1 1 1
0 1 1
0 0 1
10 4
2 1 0
1 2 0
0 0 1
0 0 2
1 2 1
2 2 2
0 0 0
2 2 0
0 2 0
1 1 1
10 8
0 1 0
1 0 1
2 0 0
0 1 1
2 1 1
0 0 0
1 1 2
1 2 1
1 1 0
2 2 1
10 6
3 2 0
2 3 1
1 1 4
1 2 1
1 4 2
2 1 0
3 2 3
2 3 0
0 0 3
2 2 1
10 4
0 1 1
2 0 2
2 5 2
5 3 3
2 1 3
2 3 5
4 3 5
1 0 4
3 0 0
5 2 4
10 6
2 0 0
1 1 0
0 3 3
0 4 3
3 3 4
3 2 0
4 4 2
4 4 0
1 1 2
0 0 2
10 5
1 0 1
0 1 2
2 1 2
2 0 1
1 2 0
0 0 2
1 1 1
1 1 2
1 0 2
2 1 1
10 7
3 2 1
0 2 0
0 0 1
1 1 0
3 0 1
2 1 0
0 3 3
1 1 1
0 1 2
2 3 1
10 6
0 0 2
1 1 0
1 2 2
1 0 2
0 0 0
2 1 0
0 1 0
1 2 0
2 2 2
1 0 0
10 4
4 4 0
3 2 4
2 4 4
3 2 3
4 0 2
1 4 1
3 3 3
0 0 3
3 3 1
4 0 1
10 3
0 1 0
1 2 1
0 2 2
2 1 0
2 1 2
1 2 2
0 1 2
0 0 2
1 1 1
1 0 1
10 3
1 4 3
1 2 1
0 4 3
3 4 1
4 1 1
2 2 0
1 0 3
0 1 4
1 4 0
4 3 1
10 2
4 3 5
3 3 5
3 0 2
3 5 0
0 5 4
3 5 4
3 5 1
1 3 5
5 3 1
0 0 0
10 3
1 0 3
0 2 3
0 3 1
1 2 1
1 1 0
2 0 2
1 3 1
1 2 3
0 3 0
3 2 0
10 8
1 2 3
3 2 0
0 3 2
2 0 2
3 1 2
0 0 0
1 0 3
2 3 0
0 2 0
1 1 3
10 6
2 0 0
0 2 1
0 0 2
2 1 3
0 1 0
0 1 1
3 0 0
1 3 3
2 1 1
2 3 3
10 3
2 1 2
2 0 3
0 1 0
2 2 2
0 1 3
3 1 2
3 0 3
2 3 2
1 3 1
3 2 1
10 9
0 3 3
2 2 3
3 2 2
3 2 3
3 1 4
1 4 0
1 2 4
3 4 0
0 4 3
0 1 4
10 3
3 3 2
2 3 3
0 3 2
2 4 1
2 0 0
1 3 4
2 4 2
2 3 2
2 1 1
4 1 1
10 8
2 0 2
2 0 3
0 1 2
1 1 1
3 2 0
0 2 2
2 2 2
0 1 0
2 2 3
0 0 1
10 2
1 2 2
2 0 3
2 2 2
0 2 0
3 3 2
2 2 0
2 2 1
1 2 0
3 0 1
2 3 1
10 5
1 3 1
5 0 3
5 0 1
1 1 2
3 3 5
0 5 0
1 3 2
1 0 1
0 4 3
5 2 2
10 2
0 1 1
2 1 1
1 2 2
3 3 2
3 1 0
2 3 1
1 1 0
1 0 1
0 0 3
0 3 0
10 5
3 1 0
0 3 3
0 1 1
3 2 3
1 3 2
1 2 2
3 3 0
0 1 3
3 1 3
0 0 0
10 8
0 3 1
3 0 3
3 3 3
1 1 2
1 3 0
1 0 3
2 1 1
1 1 1
2 2 2
1 2 3
10 7
1 1 2
2 0 1
1 2 1
0 1 1
1 1 0
0 0 2
0 0 0
1 2 2
2 1 0
2 1 1
10 8
0 0 1
3 2 3
0 1 0
1 1 1
1 3 1
0 0 3
3 2 0
0 3 2
0 3 0
2 0 3
10 7
1 3 5
1 1 4
1 1 2
0 0 3
4 5 3
1 3 1
1 0 5
2 4 1
5 3 1
5 4 0
10 3
1 1 0
1 2 0
2 2 0
1 1 1
0 1 0
2 0 1
2 0 2
0 2 0
1 2 1
0 0 0
10 2
0 1 0
2 0 0
0 0 1
0 1 2
0 2 2
1 2 2
2 2 1
1 0 1
1 1 1
2 1 0
10 4
1 1 2
0 1 4
1 0 3
4 4 2
2 1 2
3 3 2
0 0 2
3 4 0
2 4 4
0 4 3
10 5
0 0 2
2 0 3
2 2 0
2 1 0
2 3 2
1 1 3
0 2 2
3 3 1
2 2 1
2 0 1
10 5
0 1 4
2 4 4
3 3 2
4 4 0
2 0 4
4 1 0
4 0 1
1 0 2
3 0 2
0 1 2
10 4
4 0 2
3 2 5
1 1 3
1 3 0
5 5 1
1 0 5
2 3 3
2 1 3
2 5 4
1 5 0
10 2
2 0 5
4 5 5
1 3 2
3 3 3
4 4 4
3 0 5
1 4 5
1 5 5
3 2 3
1 4 2
10 9
2 2 2
1 1 0
2 1 2
3 1 2
0 3 3
1 3 1
0 2 2
0 2 0
1 3 0
0 0 3
10 9
0 0 2
2 0 0
0 1 2
1 2 2
2 2 0
1 1 2
2 0 2
0 0 0
2 0 1
0 2 2
10 9
2 2 0
2 2 1
2 2 2
2 0 1
1 2 2
0 0 1
2 0 2
0 2 2
2 1 2
0 2 0
10 5
3 0 3
2 2 5
0 3 0
2 2 0
0 3 2
2 4 3
5 5 4
0 5 1
1 1 0
3 3 1
10 2
3 3 2
1 3 3
1 2 1
2 3 2
2 2 2
3 2 3
3 2 1
3 1 1
2 3 0
2 2 3
10 8
2 2 0
0 2 0
1 2 1
1 2 0
1 1 1
2 1 2
1 2 2
1 0 2
1 1 0
0 0 0
10 3
0 1 0
2 0 2
2 1 0
0 0 0
2 1 1
2 2 2
1 2 0
2 2 1
0 0 2
0 2 1
10 5
4 0 0
1 3 4
2 4 1
2 2 1
0 1 2
3 0 1
1 3 3
0 2 0
3 4 4
4 2 2
10 8
2 1 0
1 1 1
1 2 0
0 2 2
0 0 0
1 1 0
0 0 1
1 0 0
1 0 1
0 1 0
10 5
1 0 0
2 0 2
2 2 2
2 1 2
2 0 0
0 0 1
1 1 2
2 1 1
1 0 2
1 2 2
10 8
0 0 1
1 1 0
2 0 0
1 2 0
1 1 2
2 0 2
2 2 1
2 1 1
2 1 0
1 0 2
10 3
3 0 0
0 4 4
2 3 3
4 1 0
4 3 0
2 3 4
0 1 2
4 0 2
3 1 2
1 2 2
10 9
4 4 2
0 1 1
2 2 2
1 4 2
0 3 1
3 1 1
3 4 4
3 2 3
0 2 2
0 4 3
10 6
2 0 4
1 3 0
4 4 0
3 2 1
2 1 0
0 3 4
3 4 3
0 1 1
2 1 2
3 4 0
10 9
2 0 3
1 3 2
2 2 3
3 3 1
1 0 2
0 3 1
2 0 2
4 1 1
1 1 0
2 2 2
10 9
3 4 5
1 1 0
4 0 0
0 5 3
1 3 2
2 5 1
5 4 4
3 0 5
3 4 3
2 4 0
10 4
1 2 3
2 1 2
4 4 2
1 4 1
3 3 0
2 2 4
1 3 3
2 0 0
4 0 1
1 1 2
10 8
3 3 4
1 0 3
0 2 1
1 2 3
0 4 2
0 4 4
0 2 3
0 0 3
0 3 4
0 3 0
10 8
0 1 0
2 1 2
0 0 1
1 2 1
2 2 1
0 2 1
1 0 2
1 0 0
0 1 1
2 0 1
10 4
0 2 4
3 2 2
5 0 3
1 5 1
2 5 4
3 3 3
0 5 3
2 4 1
0 0 1
4 3 4
10 5
2 1 2
0 0 0
1 2 0
1 1 2
2 2 0
1 0 2
2 0 1
2 2 2
1 1 0
0 0 1
10 6
0 3 0
1 2 3
0 3 2
0 2 0
3 3 3
0 0 2
0 1 1
3 2 2
0 2 2
2 1 3
10 5
0 0 0
2 0 0
0 1 1
2 1 0
1 1 2
2 2 0
0 2 0
0 2 2
1 2 0
0 0 2
10 6
5 3 2
0 5 2
3 3 4
2 3 4
1 3 0
4 4 2
3 2 4
1 4 1
0 4 1
0 5 5
10 3
3 2 0
1 1 1
2 2 2
2 0 0
2 0 3
1 1 0
3 3 2
3 3 3
3 1 1
0 3 2
10 2
2 1 2
2 0 2
1 1 1
0 0 2
1 0 0
2 1 0
0 0 0
0 1 2
1 0 2
0 0 1
10 7
0 0 5
5 1 3
4 0 1
5 4 4
2 3 2
2 1 0
4 3 3
3 0 4
5 0 0
0 3 0
10 4
1 1 1
1 2 0
0 0 2
0 2 0
0 1 1
1 2 1
2 2 1
0 0 0
2 0 2
1 1 0
10 2
1 0 0
2 0 0
1 0 1
0 1 0
0 0 1
0 0 0
2 2 2
1 1 1
0 1 1
2 2 0
10 4
3 3 2
4 4 1
0 3 2
4 1 1
3 2 4
4 4 0
5 5 5
2 3 3
1 2 4
0 4 1
10 7
0 4 0
3 2 0
3 3 1
0 2 1
2 4 1
4 1 1
1 2 3
2 0 1
1 3 0
0 1 1
10 8
2 2 3
1 0 2
2 2 0
1 3 0
1 2 1
3 1 1
3 1 2
0 0 1
2 3 2
1 1 0
10 4
5 3 1
5 0 1
3 4 3
2 1 5
3 0 0
2 3 1
0 0 4
0 3 0
1 1 5
5 5 2
10 8
1 1 2
0 3 1
3 1 3
3 3 0
0 1 3
1 0 0
3 0 1
1 2 2
1 3 3
3 0 3
10 3
4 4 2
4 5 0
3 1 0
0 3 0
0 1 3
4 1 3
0 0 1
3 0 3
1 3 1
3 3 2
10 8
0 0 4
4 2 2
0 4 4
3 3 1
4 1 4
0 1 4
2 3 2
3 1 1
0 4 1
3 2 1
10 5
0 2 3
3 3 2
1 3 1
0 1 3
3 0 2
3 1 3
1 2 1
1 1 2
2 2 1
0 2 1
10 7
0 1 3
4 3 3
4 4 0
1 3 2
0 0 2
3 1 1
0 1 1
2 0 4
2 2 2
2 2 4
10 5
4 2 0
4 4 4
1 2 2
4 1 3
4 3 4
1 0 1
1 2 0
2 1 3
1 2 3
0 0 2
10 8
1 1 0
2 3 4
0 2 3
1 5 1
1 5 0
5 0 3
3 3 0
4 0 1
5 2 5
5 1 2
10 8
1 2 0
5 0 2
2 5 3
5 2 3
0 2 0
1 1 2
0 5 4
5 0 4
1 3 1
0 1 3
10 4
0 1 1
0 2 0
2 0 2
0 0 0
0 2 1
1 2 0
1 2 1
1 0 0
2 1 1
0 1 2
10 7
3 1 2
5 3 2
1 4 5
2 2 3
5 5 2
1 3 5
3 5 0
1 0 2
2 5 4
2 0 2
10 7
1 5 1
4 3 3
3 5 4
4 4 1
0 0 1
4 1 1
5 2 4
4 2 3
3 2 1
2 1 4
10 3
1 0 1
3 1 2
1 1 1
2 3 1
0 3 2
2 2 2
2 1 2
3 0 0
1 2 1
2 3 3
10 5
1 0 4
1 3 3
1 4 5
3 3 5
2 0 2
1 0 3
2 1 0
5 4 5
0 0 5
5 1 2
10 3
2 2 2
2 2 0
1 1 0
1 2 0
0 2 0
1 1 1
2 0 1
0 1 0
1 0 0
1 0 2
10 2
0 0 2
3 1 2
2 2 1
0 1 2
2 0 0
2 2 2
1 2 2
3 0 2
0 1 1
2 1 0
10 5
1 2 0
0 1 4
4 0 2
2 4 2
1 4 4
2 2 1
3 2 3
0 0 3
1 4 2
2 2 4
10 2
0 1 0
4 3 3
5 3 4
4 1 1
3 5 0
1 5 3
5 2 3
2 0 4
5 5 0
4 3 1
10 2
1 1 1
2 3 3
3 3 2
3 0 1
0 0 3
1 0 1
1 3 0
2 0 3
2 1 2
0 3 1
10 5
2 0 1
1 1 1
1 0 3
2 1 0
1 0 1
1 2 3
3 2 0
0 2 0
3 0 3
0 2 3
10 3
1 0 3
3 0 1
0 5 1
0 3 5
2 0 0
3 1 3
5 4 3
4 1 2
4 5 4
0 4 2
10 9
1 1 2
1 1 0
0 0 1
0 0 2
0 1 2
0 2 0
0 2 1
1 2 1
2 2 2
0 1 1
10 7
0 4 0
4 2 4
0 4 2
4 2 1
3 0 2
2 4 0
2 1 1
3 4 4
2 0 0
3 0 4
10 4
2 0 1
1 3 3
2 0 2
2 1 1
3 3 2
3 3 1
3 1 0
3 0 2
3 0 0
1 1 0
10 7
1 1 0
1 1 2
1 2 2
0 2 2
2 0 2
0 1 2
0 0 1
1 0 0
2 1 1
0 1 0
10 8
1 3 5
4 3 1
0 2 3
3 3 3
1 5 1
0 1 5
1 2 5
2 0 0
4 0 4
5 2 5
10 2
2 1 0
3 3 1
0 2 3
0 1 3
3 0 2
0 3 0
1 3 2
1 1 2
3 3 2
0 2 0
10 2
0 4 2
0 1 2
2 3 3
2 4 5
3 4 1
5 0 3
5 3 5
0 3 1
3 2 3
0 5 4
10 5
0 1 0
1 1 0
0 0 0
2 0 1
0 2 2
1 0 0
0 0 2
0 1 2
1 0 2
2 1 1
10 5
0 2 2
4 5 4
4 3 3
2 3 3
3 2 5
2 1 1
5 1 4
1 1 3
3 1 2
1 3 2
10 2
2 1 1
1 2 2
0 2 2
1 0 2
0 1 0
2 0 2
1 2 0
0 2 0
0 0 1
2 1 0
10 4
0 4 2
4 3 4
3 0 3
2 4 3
2 1 0
0 3 0
1 4 4
4 3 3
2 3 2
2 2 3
10 7
2 4 0
3 3 1
2 2 0
1 4 1
2 3 2
2 3 4
3 0 3
1 4 3
4 2 0
3 3 4
10 5
0 2 1
1 1 2
1 0 1
1 1 0
2 1 0
0 0 2
2 1 2
1 2 2
1 0 2
1 0 0
10 4
0 0 2
1 1 1
0 0 0
0 1 1
2 0 1
1 0 2
0 2 1
2 0 0
1 2 1
0 1 0
10 9
5 3 1
0 3 4
4 0 2
0 3 2
5 3 0
0 0 4
3 1 2
5 1 4
1 5 4
4 4 4
10 4
0 1 4
5 3 4
0 5 4
5 4 0
4 3 4
2 0 3
0 1 0
3 1 4
1 4 5
4 1 1
10 5
3 0 1
2 0 1
2 3 2
2 0 2
2 1 2
2 3 1
3 0 0
0 1 2
0 3 3
0 2 3
10 4
3 2 1
0 0 0
3 4 1
1 4 0
4 4 2
0 4 4
3 0 1
1 0 2
4 2 3
0 3 3
10 6
1 2 1
3 0 2
2 3 1
0 2 1
4 4 4
1 1 3
4 4 1
1 4 1
1 4 4
1 4 3
10 3
3 3 2
2 2 0
3 2 3
2 0 3
0 0 2
1 1 3
2 2 1
1 0 1
2 0 1
1 3 2
10 6
1 4 2
4 3 2
2 3 2
4 2 4
1 3 2
4 1 2
4 2 0
2 0 3
0 3 3
1 2 0
10 2
2 3 1
0 0 2
0 3 2
0 3 0
1 0 0
0 2 1
3 0 0
1 2 2
1 3 3
0 1 3
10 8
1 1 2
4 2 0
2 1 3
2 3 3
1 3 1
1 1 4
1 1 0
4 2 3
0 4 1
1 2 1
10 5
3 3 3
1 0 2
1 1 1
1 3 2
0 3 0
2 3 2
0 0 3
0 0 0
1 2 3
1 1 0
10 8
1 0 0
2 2 1
0 2 1
0 1 1
2 0 1
1 2 2
2 1 2
2 2 2
2 0 0
0 0 0
10 2
2 1 0
1 0 0
2 2 2
0 1 1
2 1 1
2 1 2
1 2 0
0 2 0
0 1 2
0 1 0
10 6
3 1 2
4 4 4
2 0 4
3 4 0
4 4 2
2 2 1
1 4 0
2 4 2
1 0 3
2 1 0
10 9
1 1 1
2 3 0
0 3 3
0 1 1
0 0 0
1 0 0
3 1 3
0 2 2
2 3 1
1 1 3
10 5
2 2 2
2 0 2
0 0 2
1 1 2
0 0 0
1 2 2
1 1 0
0 2 1
2 1 0
0 2 0
10 5
2 0 1
1 0 1
0 0 2
1 2 2
1 1 2
0 1 0
1 1 1
2 1 0
1 0 2
1 2 1
10 6
1 0 0
2 2 2
2 2 1
0 1 2
1 1 1
2 1 0
0 0 2
2 2 0
1 2 2
2 0 1
10 9
0 0 1
2 2 0
2 1 2
0 1 1
2 1 0
1 0 1
1 2 1
2 2 2
1 1 2
1 1 1
10 9
0 4 3
4 2 0
1 1 0
0 0 1
1 2 1
0 3 3
0 4 4
3 1 1
2 3 3
1 2 2
10 6
2 0 2
4 0 0
1 4 1
4 1 1
2 3 0
4 3 4
0 2 3
4 2 2
0 1 0
4 4 2
10 8
0 4 4
4 1 5
2 5 5
5 3 3
4 1 2
2 0 2
2 4 0
1 5 3
3 2 4
0 2 0
10 4
0 2 0
0 1 1
1 2 0
1 1 1
0 2 1
1 1 0
0 0 0
0 2 2
1 0 1
0 1 2
10 2
3 0 4
0 0 3
3 4 3
3 2 1
0 2 0
2 0 1
1 0 2
4 1 0
0 4 2
1 2 0
10 4
4 2 2
4 2 3
0 3 4
2 3 4
4 4 3
0 2 0
0 0 3
2 2 3
4 1 4
2 0 4
10 5
3 1 0
0 0 0
1 0 2
0 1 4
3 4 3
4 0 3
2 0 0
3 0 1
1 2 3
4 3 1
10 3
2 0 1
2 1 1
0 2 2
1 2 2
0 2 0
2 2 1
1 0 1
1 2 1
2 2 0
2 0 0
10 2
2 0 0
0 1 1
1 1 1
0 2 0
0 0 0
2 0 2
0 0 2
1 2 0
2 2 2
0 2 1
10 6
3 2 4
2 0 0
4 1 0
3 0 3
0 0 0
2 0 4
4 1 3
3 4 2
4 1 2
4 4 3
10 9
2 4 3
1 2 0
0 0 1
0 1 1
2 3 3
0 3 1
2 1 3
4 4 3
1 4 0
2 0 1
10 8
1 1 1
2 1 2
1 1 2
1 0 2
0 0 0
2 0 2
1 2 2
0 1 0
0 2 2
1 0 0
10 9
0 3 5
1 5 2
4 1 3
1 4 0
3 3 5
2 2 5
4 0 4
1 1 2
2 2 1
0 2 2
10 7
4 2 2
4 3 3
3 2 4
3 1 3
1 2 0
4 2 0
1 0 0
1 3 2
2 0 3
0 3 4
10 4
0 4 2
1 3 5
4 0 0
1 2 4
5 5 3
2 1 5
3 2 1
2 3 3
0 4 1
5 0 2
10 8
2 0 2
2 2 0
1 1 2
0 0 1
2 1 1
1 1 0
2 1 2
0 1 1
1 0 1
1 2 0
10 2
0 5 0
2 1 0
4 5 5
4 5 1
5 2 0
4 2 5
1 1 1
2 0 1
2 1 3
0 2 2
10 5
1 2 0
0 1 1
2 0 0
1 1 2
0 1 2
1 1 0
0 2 2
0 0 2
0 1 0
2 2 1
10 3
2 0 1
2 1 2
2 2 2
1 1 1
2 0 0
0 1 0
2 0 2
1 1 0
0 0 1
1 2 0
10 8
3 3 3
4 1 3
0 0 1
0 2 0
1 0 3
2 1 4
3 1 1
4 2 0
2 4 2
0 4 4
10 3
1 2 0
0 1 0
1 1 0
0 2 1
2 1 1
2 1 0
2 0 1
2 0 2
2 0 0
1 2 2
10 8
5 4 0
0 3 4
2 4 5
3 5 4
2 1 3
2 3 0
1 0 2
4 5 5
5 0 4
2 5 1
10 7
0 0 1
0 2 1
3 3 2
2 0 0
1 2 0
0 1 0
0 0 3
1 0 0
1 2 1
3 2 1
10 2
1 2 4
1 1 0
3 4 3
0 1 3
0 3 2
2 3 1
1 0 4
0 0 0
3 3 3
1 0 3
10 6
3 4 2
4 4 3
1 3 4
4 1 1
3 3 3
2 0 0
2 0 2
0 0 4
1 4 2
4 2 2
10 4
1 0 1
2 1 1
1 1 2
3 3 3
2 0 1
0 2 1
3 2 0
1 2 2
0 1 0
2 0 2
10 8
1 2 2
1 2 1
1 1 1
0 2 1
2 0 2
2 2 2
0 0 2
2 2 0
0 1 1
0 0 0
10 7
2 2 1
1 0 3
3 3 0
0 2 1
3 0 0
1 0 1
3 2 0
1 3 3
3 1 2
1 1 3
10 7
5 4 1
2 2 1
4 3 3
0 5 0
0 0 2
1 2 3
0 5 5
4 1 4
2 1 2
4 1 5
10 4
3 2 3
0 0 0
1 2 1
1 0 3
2 0 0
3 3 0
1 1 1
1 1 3
0 1 0
3 3 2
10 7
2 4 4
3 4 4
4 1 5
1 1 4
3 2 0
1 1 1
5 5 5
5 0 3
5 1 3
4 4 0
10 7
0 0 1
2 2 2
2 0 1
0 2 0
2 0 2
2 2 1
1 0 1
2 1 2
1 0 0
1 2 1
10 9
1 1 0
0 2 0
1 1 1
2 0 2
0 2 2
1 2 1
2 2 1
2 2 2
1 0 2
2 0 0
10 4
3 2 3
0 3 0
1 2 1
1 0 3
1 1 2
2 0 3
3 1 2
2 3 3
2 2 1
2 0 0
10 3
2 0 2
0 3 3
3 3 2
0 3 0
0 1 0
3 2 0
2 2 0
1 0 3
1 1 2
0 0 1
10 9
1 1 1
1 2 1
2 0 0
0 0 0
0 2 2
1 2 0
1 0 2
0 2 0
0 1 1
0 2 1
10 4
1 0 1
1 1 1
0 0 2
2 0 1
1 2 0
0 0 1
0 1 2
2 2 1
1 1 2
2 0 0
10 9
1 3 0
0 1 0
3 3 2
0 1 3
1 2 1
1 3 4
3 0 3
4 4 1
2 0 1
2 0 3
10 2
5 1 1
5 4 3
4 4 3
3 5 5
4 2 4
4 1 0
2 4 3
3 2 1
1 5 4
2 3 3
10 2
0 2 0
3 1 2
2 2 1
0 3 0
0 0 2
3 2 0
2 0 1
1 1 2
3 0 3
1 2 0
10 5
1 1 2
0 1 2
1 0 0
3 3 2
1 3 0
2 0 1
3 1 3
0 0 3
2 3 2
3 3 1
10 6
2 1 0
1 1 1
0 3 1
3 2 2
1 2 2
3 3 0
1 3 3
1 1 0
1 3 2
0 3 0
10 2
1 0 1
1 4 2
4 3 4
2 0 2
1 1 0
2 4 2
3 0 3
3 4 3
3 3 3
2 4 1
10 9
0 2 1
1 1 1
2 0 1
1 0 2
1 2 0
2 2 1
0 2 2
2 2 2
2 1 2
0 1 0
10 8
0 1 0
3 3 0
1 2 4
1 0 1
2 2 1
2 4 1
0 0 2
2 0 0
2 3 0
3 2 4
10 9
2 1 1
0 0 1
1 0 0
0 0 0
2 2 0
1 2 1
2 1 2
2 1 0
1 0 1
0 2 2
10 9
3 4 3
5 3 5
4 0 3
3 5 4
5 4 3
2 4 4
5 3 3
4 2 0
3 4 1
2 3 4
10 3
2 2 1
0 2 2
2 1 1
1 0 2
0 0 1
1 2 1
2 2 0
2 2 2
0 0 2
0 2 1
10 5
1 1 4
0 0 3
5 1 2
4 1 5
2 4 1
5 4 0
3 3 1
1 1 0
0 5 4
5 1 4
10 4
5 3 2
4 5 2
2 5 4
3 1 0
2 5 0
1 4 4
1 3 3
0 5 1
3 3 3
0 1 1
10 2
2 1 0
3 3 1
0 1 1
1 0 3
1 2 2
3 1 1
3 0 1
2 2 1
2 1 2
0 0 3
10 6
1 2 1
4 1 0
4 3 4
3 1 4
4 3 0
2 3 0
5 3 2
4 4 5
1 1 1
0 1 0
10 9
1 0 0
1 3 3
2 1 3
1 3 2
2 3 0
1 3 0
0 2 1
3 0 1
1 0 2
0 1 3
10 9
1 2 1
0 1 1
0 0 1
1 0 0
1 0 1
1 2 0
2 2 0
1 1 0
2 2 1
0 2 1
10 3
2 2 2
0 2 0
3 3 3
2 0 0
3 1 1
0 3 1
1 2 2
3 0 1
2 3 1
0 0 3
10 7
2 0 0
2 0 3
0 1 0
0 0 0
1 2 3
2 2 0
0 1 3
0 0 3
3 1 3
3 3 3
10 2
1 0 1
3 1 1
2 1 0
1 2 1
0 2 2
1 3 0
3 2 0
2 3 1
2 2 2
3 3 2
10 3
1 2 0
2 2 0
0 2 2
1 1 1
2 1 1
1 0 1
1 1 0
2 2 1
2 1 2
1 0 0
10 5
3 4 3
4 1 4
1 2 2
4 2 0
1 4 2
0 3 3
1 1 3
3 1 1
4 0 4
1 2 1
10 2
2 0 0
2 2 3
4 0 3
2 0 1
0 2 0
2 2 2
3 1 0
4 4 1
2 4 1
2 1 4
10 5
1 1 0
0 2 0
1 2 1
2 1 2
0 1 2
2 2 2
2 0 0
1 1 1
1 2 2
1 1 2
10 4
0 3 1
3 3 5
1 2 3
3 3 4
1 4 5
5 0 1
5 3 4
2 4 1
4 0 2
2 4 5
10 9
3 0 4
2 2 2
0 1 3
4 4 2
2 1 1
3 0 2
3 2 4
0 2 0
1 3 1
1 0 1
10 5
2 0 4
0 0 0
0 4 4
2 4 0
2 1 1
0 2 1
0 0 1
5 2 0
1 2 0
1 5 0
10 5
2 4 3
4 0 2
5 3 5
2 4 1
0 0 2
2 2 3
0 2 5
4 0 4
0 5 0
2 1 3
10 4
1 2 2
1 2 1
2 2 2
1 2 0
0 0 2
0 2 0
0 2 1
1 1 1
0 1 1
1 1 0
10 3
3 5 4
0 2 5
4 4 1
2 0 3
4 3 5
2 0 2
2 5 5
3 0 3
1 5 0
1 0 4
10 6
2 2 1
2 0 0
1 0 0
3 2 3
1 3 0
3 3 0
1 1 2
1 0 2
1 3 1
0 2 0
10 2
3 1 0
3 2 0
4 4 0
3 2 4
1 0 1
0 4 4
4 0 3
1 1 1
4 1 2
2 0 1
10 4
0 1 2
0 2 1
2 0 1
0 0 0
1 1 2
2 1 2
1 1 0
0 0 1
0 2 0
2 0 2
10 8
2 1 3
4 4 0
1 2 3
0 0 0
0 0 1
0 1 2
2 1 0
3 1 0
1 1 4
2 2 3
10 9
2 0 2
0 3 1
1 2 0
3 3 2
1 1 0
2 1 3
3 2 0
2 1 2
3 0 2
0 0 1
10 5
1 0 4
4 0 3
3 2 0
1 0 3
1 3 2
0 0 1
2 1 1
0 2 0
3 0 4
1 1 1
10 3
3 0 0
0 2 3
3 0 1
3 3 2
1 2 0
0 3 2
1 3 2
2 1 0
2 3 3
3 0 3
10 4
0 1 2
0 2 3
1 1 2
4 3 3
2 2 2
0 1 4
4 3 4
3 1 0
2 0 1
4 0 0
10 7
2 0 3
3 1 0
3 2 2
0 2 3
3 3 0
3 3 2
2 0 0
0 0 1
2 3 1
2 3 3
10 4
2 3 4
1 2 4
4 1 4
4 0 4
0 3 2
1 0 2
1 1 1
4 4 4
4 3 4
3 2 1
10 3
3 0 3
1 5 1
4 5 3
3 4 5
5 1 5
5 5 2
3 2 5
3 1 0
0 4 0
1 3 2
10 2
0 0 0
1 2 0
1 1 1
1 1 0
2 0 2
0 1 2
1 2 2
0 2 2
2 2 1
0 1 1
10 9
2 0 2
2 2 1
2 2 2
2 1 2
2 0 0
1 2 1
0 0 2
1 2 2
1 1 0
0 0 0
10 3
0 1 0
1 0 2
3 1 3
3 2 3
2 0 2
1 1 1
0 2 2
3 0 3
1 3 0
3 3 3
10 9
2 3 1
3 2 1
0 2 4
0 4 1
3 2 4
4 1 1
1 4 2
2 1 4
2 0 2
0 1 4
10 7
1 3 0
5 5 5
2 2 5
1 4 5
5 3 4
3 5 2
4 1 1
4 4 3
3 0 2
2 4 1
10 5
1 0 2
1 0 1
2 1 1
0 0 1
0 0 2
2 2 1
0 2 1
0 2 0
2 0 2
2 1 2
10 8
0 2 2
2 2 2
1 1 1
1 0 0
1 1 3
2 3 1
0 0 3
1 3 0
3 1 3
3 2 1
10 4
3 2 1
0 1 0
0 1 3
1 3 1
1 0 0
3 1 2
2 0 3
0 2 1
1 2 3
3 2 2
10 6
0 2 3
4 3 3
3 2 0
3 0 5
5 1 0
3 2 3
0 5 5
1 1 5
4 4 4
0 0 1
10 2
2 3 3
1 1 2
3 3 1
2 1 0
0 2 3
0 0 1
2 0 1
2 1 2
3 2 3
3 0 2
10 6
1 0 3
2 2 0
1 0 0
1 0 2
3 0 2
3 1 1
0 2 3
0 0 2
1 2 1
0 1 2
10 2
2 0 0
0 0 0
0 2 2
1 0 2
2 1 2
2 0 2
1 0 0
2 2 0
1 0 1
1 2 0
10 5
0 4 3
1 4 0
3 4 5
0 1 1
1 5 1
0 0 3
1 1 3
3 0 5
2 3 3
2 4 0
10 2
2 0 0
3 1 1
3 3 3
0 1 3
3 0 2
3 0 0
2 0 1
0 1 0
3 3 2
0 2 1
10 9
0 2 1
4 3 5
2 0 1
2 1 4
0 4 2
3 5 5
0 5 1
5 1 2
0 1 3
4 0 2
10 5
0 2 1
1 0 0
2 2 0
0 3 0
2 2 1
2 1 0
2 2 2
2 2 3
3 1 2
3 1 0
10 3
1 0 0
1 0 1
0 2 1
1 1 2
1 1 1
2 1 1
2 2 1
2 1 2
2 0 1
2 2 0
10 2
5 4 5
5 3 0
1 1 0
2 3 2
5 2 5
1 1 3
2 4 2
2 5 1
0 4 1
1 4 2
10 4
1 0 2
1 1 2
1 2 1
0 0 1
1 1 1
0 0 0
0 1 2
0 1 1
0 2 2
2 0 0
10 5
2 0 3
4 4 3
2 1 0
4 4 4
3 3 3
4 3 2
1 2 1
4 0 4
3 4 3
4 1 2
10 8
0 3 3
1 1 1
0 1 1
3 2 1
0 2 0
1 3 0
3 1 0
3 2 0
1 0 2
0 3 0
10 3
2 2 1
1 0 0
2 1 2
0 0 0
1 1 2
0 2 0
1 0 1
2 2 0
0 2 2
2 1 1
10 6
0 1 1
0 1 2
2 3 2
2 1 1
3 3 2
1 2 2
1 3 3
3 0 3
3 2 2
2 3 0
10 4
0 2 2
2 1 1
2 1 2
1 0 2
2 0 1
2 0 2
0 2 0
0 2 1
0 1 0
2 2 0
10 9
0 2 3
3 4 0
2 4 1
3 2 4
0 3 0
2 4 4
1 0 2
1 2 4
2 2 3
0 0 3
10 4
4 4 0
3 3 4
4 0 3
0 1 4
2 2 2
4 0 1
2 1 3
3 2 0
3 0 0
2 1 2
10 8
2 1 0
1 0 2
1 2 0
2 2 0
1 1 2
2 0 0
1 1 1
1 0 1
2 0 1
0 1 0
10 2
1 2 1
2 2 1
2 1 1
2 0 1
1 0 2
1 2 0
0 1 1
0 1 0
0 0 0
2 0 0
10 9
0 3 1
3 2 3
3 2 0
0 2 2
3 3 2
0 1 0
1 3 2
1 2 0
3 0 0
3 0 3
10 5
2 1 0
0 2 2
1 0 2
0 2 0
0 2 1
2 0 1
1 0 1
0 0 0
1 1 2
1 2 2
10 8
2 1 1
3 1 3
0 2 0
0 1 1
3 0 1
1 2 1
0 2 2
2 3 1
1 1 3
2 3 3
10 7
1 1 2
1 0 1
0 0 0
0 1 1
2 1 1
2 2 0
1 0 2
0 1 2
1 2 2
2 0 2
10 8
1 2 0
0 2 0
1 1 2
2 1 2
2 0 2
1 0 1
1 2 2
0 2 1
2 2 1
2 2 0
10 9
4 2 3
1 3 4
0 1 0
0 0 1
1 4 3
3 1 4
0 3 2
3 0 0
1 0 3
0 4 1
10 9
1 0 4
1 4 1
3 1 2
3 3 3
3 0 1
4 2 1
2 3 1
0 1 0
0 2 3
1 0 2
10 7
1 0 0
2 1 2
1 1 1
2 0 0
0 1 0
1 0 1
1 0 2
0 0 0
1 2 2
2 1 0
10 3
1 0 0
0 2 2
2 2 0
1 0 2
2 1 0
2 1 2
0 1 1
2 0 2
1 2 1
0 2 0
10 5
1 0 2
3 3 1
3 0 0
0 0 1
0 1 0
3 3 2
0 0 2
3 2 0
1 2 3
1 2 2
10 3
2 5 5
4 5 0
1 2 1
0 2 0
4 3 5
5 5 3
4 4 4
4 5 1
1 5 0
5 2 5
10 7
2 5 1
4 1 2
0 0 1
3 0 3
1 5 0
4 5 1
5 5 0
3 1 5
2 0 3
1 3 2
10 7
0 0 2
2 1 2
0 0 0
1 0 2
1 1 2
1 1 0
0 0 1
2 1 0
1 0 0
0 2 0
10 4
1 4 0
2 2 1
3 1 4
5 4 0
5 4 3
0 5 3
0 3 4
0 1 1
3 5 2
3 2 0
10 4
2 2 1
1 2 1
4 0 1
2 1 3
2 2 0
4 2 4
0 3 3
0 2 4
2 3 4
3 0 3
10 4
2 3 0
2 4 1
1 2 1
0 2 3
4 2 3
2 1 1
2 2 2
3 0 2
0 0 3
1 4 4
10 4
1 1 0
0 0 0
3 2 0
2 0 0
3 1 0
0 3 2
2 1 3
3 1 3
0 0 3
1 2 0
10 8
1 0 3
2 0 4
2 2 2
0 2 2
0 2 0
3 1 1
0 2 4
1 0 1
1 4 4
3 4 4
10 8
0 3 1
2 3 1
2 0 0
0 0 0
2 2 3
2 0 3
2 2 2
1 0 1
0 0 1
0 1 2
10 3
1 2 0
2 1 1
3 1 0
0 1 0
1 3 2
1 4 1
0 3 2
1 4 3
3 2 4
2 4 4
10 3
2 2 0
2 0 2
2 0 1
1 0 1
0 0 2
0 1 1
2 1 0
1 0 0
0 1 2
0 0 1
10 4
4 1 4
3 5 0
0 4 3
1 1 1
5 3 0
4 5 3
0 0 2
1 0 0
4 0 5
5 3 1
10 7
1 2 2
0 1 2
0 2 1
0 0 1
2 1 0
2 2 2
2 0 2
2 2 1
1 2 0
0 0 0
10 6
1 1 2
0 1 1
2 2 2
0 0 2
2 1 0
0 0 0
1 2 2
1 1 0
0 2 1
0 1 0
10 6
0 1 0
2 1 0
2 2 1
0 0 0
1 2 0
0 1 2
2 0 2
1 1 1
1 2 1
2 2 0
10 7
4 2 4
2 2 4
4 0 2
1 0 0
0 4 2
1 4 4
2 3 2
4 0 4
0 4 3
0 0 2
10 5
3 1 3
5 3 3
2 0 4
2 1 0
0 0 4
2 0 0
2 2 0
3 2 1
2 4 3
3 0 2
10 6
1 3 2
0 3 2
3 0 3
0 2 1
0 0 0
1 3 3
2 3 1
0 0 3
1 1 3
2 2 0
10 2
3 1 2
0 0 0
1 3 0
3 1 0
0 2 2
0 2 3
1 3 1
3 2 0
0 1 3
2 0 1
10 3
0 0 1
2 1 1
2 1 0
0 2 2
1 2 0
2 2 2
0 2 0
2 0 1
0 1 1
1 0 1
10 4
2 1 1
2 1 2
0 0 1
2 2 0
2 2 1
2 2 2
2 0 2
0 2 2
0 0 0
1 1 1
10 9
0 3 0
4 1 3
4 1 4
1 4 4
1 2 4
4 4 3
0 3 2
1 1 4
4 2 3
3 3 2
10 2
1 0 1
0 2 2
0 0 1
2 0 1
0 1 0
1 1 0
1 2 2
2 0 0
0 1 1
1 2 1
10 4
0 2 1
2 0 1
1 2 1
0 1 1
0 0 2
1 1 2
0 0 1
2 1 0
1 1 0
1 2 2
10 4
3 2 0
1 1 1
2 2 0
3 2 1
3 1 0
1 2 0
2 3 0
3 3 0
1 3 2
0 1 1
10 2
3 1 3
1 0 2
2 1 0
2 0 2
3 1 0
3 2 1
2 1 1
0 3 2
2 3 0
1 0 3
10 9
2 5 1
5 2 5
0 2 1
4 0 3
2 3 1
1 5 3
5 5 2
4 0 5
5 4 1
2 1 3
10 9
4 5 5
0 3 3
5 1 5
4 2 0
4 0 2
5 2 1
1 2 0
4 2 2
0 5 2
5 5 2
10 2
5 1 3
4 0 1
5 5 5
1 5 5
4 1 0
0 5 1
3 3 5
1 2 4
2 1 1
2 1 4
10 3
2 3 1
1 1 0
1 2 1
1 1 3
2 3 3
1 2 0
2 3 0
3 2 2
1 2 3
3 2 0
10 7
2 1 2
1 1 1
1 2 1
1 2 2
2 0 0
0 0 1
0 2 2
2 2 2
0 0 0
1 0 0
10 8
3 2 5
0 1 1
1 4 5
1 1 2
4 4 3
0 4 5
0 3 4
3 5 1
2 1 3
0 2 1
10 7
3 1 0
0 3 0
3 0 0
0 4 3
0 1 0
0 4 1
0 3 4
0 2 4
4 4 2
0 4 4
10 5
2 2 0
0 1 0
1 2 0
2 0 1
0 2 2
2 2 2
0 0 1
1 0 0
0 2 1
0 1 1
10 5
2 1 1
0 2 1
0 2 2
2 2 0
2 0 2
1 1 2
1 0 1
0 1 2
0 0 0
1 0 0
10 9
0 3 2
4 4 5
2 1 3
0 2 5
4 2 2
3 5 4
3 2 5
1 4 3
2 2 1
2 0 3
10 9
1 0 3
1 1 1
0 2 4
1 4 4
4 3 0
3 4 3
2 1 1
0 1 0
3 4 2
1 0 4
10 3
0 0 2
1 3 0
3 3 3
1 3 2
0 3 0
2 0 1
0 1 1
1 1 1
2 3 1
2 2 0
10 7
0 0 4
3 2 1
4 3 1
4 1 1
1 1 3
2 4 1
0 1 2
3 3 0
2 1 1
3 2 2
10 5
1 2 1
2 2 2
1 2 2
1 0 0
2 2 1
0 2 2
1 2 0
0 2 0
1 1 1
2 1 0
10 5
0 0 1
2 1 0
0 0 2
0 1 0
1 2 2
2 0 1
1 2 1
2 1 1
1 2 0
1 0 0
10 9
3 4 1
0 4 4
4 4 5
5 2 1
5 5 1
4 5 1
4 1 2
0 1 4
3 4 5
2 4 3
10 2
2 0 2
4 3 0
2 1 1
4 2 4
1 4 0
1 2 0
4 0 1
3 3 4
3 2 1
0 4 3
10 6
0 0 2
1 1 2
2 1 2
1 1 1
0 2 0
0 0 0
1 2 1
1 2 0
1 0 0
2 0 2
10 2
1 3 1
2 0 2
0 0 2
2 1 0
0 0 3
3 2 0
0 3 2
1 2 3
1 1 0
1 0 2
10 4
2 3 2
2 2 0
1 3 3
3 1 3
1 0 0
1 1 1
1 0 2
0 0 3
3 2 3
0 0 1
10 4
1 0 2
0 1 0
0 1 1
2 1 0
0 0 2
2 2 2
2 0 2
0 1 2
2 1 1
1 2 0
10 8
1 3 3
2 0 0
1 2 0
0 2 1
2 1 3
2 1 1
1 1 2
1 2 3
2 0 3
2 0 1
10 5
0 3 3
2 2 0
0 3 2
2 2 3
2 0 3
1 3 3
0 0 1
1 1 2
1 0 0
0 0 0
10 4
4 0 0
2 3 3
1 3 3
3 0 4
0 1 4
0 1 3
0 0 1
1 0 1
1 2 4
1 4 2
10 9
0 3 0
1 1 3
1 0 1
3 3 3
2 1 1
1 2 2
2 3 2
0 0 0
1 3 3
1 1 0
10 7
1 2 0
1 1 2
4 1 2
0 2 1
1 3 0
0 3 4
1 1 4
4 4 2
0 1 1
0 1 4
10 5
2 0 2
2 2 2
1 1 1
0 2 2
0 1 2
1 2 1
2 2 1
2 1 0
2 1 2
0 1 1
10 9
0 2 0
0 3 2
2 3 3
0 1 2
0 0 0
1 1 1
3 3 3
2 1 0
2 0 2
2 2 1
10 5
3 0 1
1 3 0
0 0 3
1 3 2
1 0 2
0 2 2
0 2 1
0 0 2
1 2 2
3 2 2
10 3
2 2 3
2 3 0
1 1 2
2 0 2
2 3 2
2 2 2
0 1 2
1 3 2
3 1 3
3 0 3
10 3
2 1 3
5 5 0
4 3 4
4 2 5
0 4 2
1 4 3
1 5 5
1 3 2
2 3 1
0 1 0
10 8
0 2 0
3 0 0
0 3 4
1 2 1
2 5 1
0 0 5
1 1 5
3 4 2
0 3 1
0 4 4
10 9
1 1 2
1 2 2
2 2 0
0 1 2
0 1 1
2 1 2
1 2 0
0 1 0
0 0 0
2 1 1
10 4
2 1 4
0 0 5
3 3 5
2 3 0
1 1 0
4 2 0
0 0 0
3 4 3
5 1 1
5 5 2
10 9
0 3 2
2 3 0
3 0 2
0 1 1
1 2 0
1 1 1
0 2 0
2 3 1
3 2 1
2 1 1
10 3
1 1 0
0 0 0
1 0 2
1 0 0
0 0 1
1 2 0
2 1 1
2 1 0
0 2 0
2 0 0
10 8
0 0 1
2 1 0
2 2 2
1 0 1
2 2 0
2 0 2
2 0 1
0 0 2
1 1 0
0 0 0
10 2
2 1 1
0 2 1
0 1 2
1 3 3
2 3 0
3 2 3
2 2 2
2 1 3
3 1 2
3 0 0
10 5
3 0 3
1 2 2
2 1 3
3 0 0
0 0 1
2 0 0
2 1 1
2 2 0
0 0 2
1 0 2
10 4
2 2 1
2 1 0
0 1 2
2 2 2
2 2 0
1 0 2
0 2 0
0 1 0
1 2 0
1 0 1
10 7
0 0 1
0 2 1
0 2 2
0 1 2
0 0 0
2 1 0
1 0 1
2 2 0
2 1 1
1 0 0
10 7
1 1 4
0 4 2
1 4 4
0 0 2
1 3 2
1 4 1
2 4 2
3 1 0
2 4 3
3 4 3
10 3
1 3 0
3 3 1
0 1 0
0 0 1
1 3 1
1 2 2
2 0 0
1 2 1
1 2 0
2 3 2
10 3
1 1 5
1 4 2
5 1 5
3 2 3
1 0 4
5 3 5
2 1 5
0 1 4
3 4 1
2 5 1
10 7
3 4 1
2 0 4
1 3 2
1 2 4
0 3 2
2 1 1
3 3 3
3 4 3
3 0 4
0 4 0
10 4
2 5 1
1 0 2
4 4 0
3 0 3
4 0 5
2 3 3
0 3 4
0 0 5
1 3 0
3 5 1
10 9
5 5 2
0 3 3
0 0 1
5 4 4
1 4 3
0 0 4
4 0 5
5 5 4
1 5 3
3 0 4
10 9
1 1 2
3 0 0
1 2 0
5 3 1
4 0 3
5 1 2
0 3 3
1 2 1
5 1 5
3 1 5
10 8
3 1 2
4 0 2
4 0 1
4 3 4
0 4 1
4 4 0
2 4 1
2 0 3
4 3 2
2 2 3
10 8
0 1 4
4 4 0
4 4 3
2 0 0
3 0 4
4 0 2
0 1 0
4 1 0
3 4 4
4 3 1
10 3
2 0 5
1 1 2
2 5 2
5 3 4
5 0 0
2 1 5
0 4 1
3 0 3
1 1 5
3 2 1
10 2
5 1 3
4 2 1
1 3 0
0 0 1
4 3 0
1 1 2
5 2 3
5 0 2
3 5 0
5 0 0
10 2
3 1 2
0 1 0
1 0 3
2 1 1
1 3 1
1 3 0
1 1 1
2 1 2
3 1 1
2 2 3
10 4
2 2 1
1 1 2
0 0 1
2 2 0
1 1 0
1 0 1
1 2 2
2 0 2
0 1 0
0 1 1
10 2
1 0 1
2 2 3
1 3 4
4 4 4
3 0 1
4 2 3
4 1 0
0 0 1
0 2 2
3 2 4
10 3
3 0 0
2 5 3
0 2 1
5 2 0
2 4 0
3 0 1
4 5 3
2 4 1
4 0 5
2 5 1
10 6
1 1 0
3 0 3
3 3 0
2 1 3
0 2 3
1 3 3
0 0 3
0 3 0
1 2 3
1 0 2
10 6
2 4 1
0 2 1
1 4 1
1 0 4
1 1 3
2 4 4
3 4 1
4 0 0
0 3 0
3 3 1
10 2
4 4 1
2 4 1
4 0 1
0 2 4
2 2 1
3 2 1
0 3 2
2 3 0
3 3 0
4 3 1
10 3
0 0 0
2 0 0
0 2 0
0 0 1
0 0 2
2 0 2
2 2 2
2 1 0
1 1 2
0 1 0
10 6
2 2 0
2 0 2
2 2 1
2 1 1
2 1 2
0 0 2
0 2 0
1 2 1
1 2 2
1 2 0
10 8
0 4 4
2 0 2
0 3 2
4 3 3
0 0 4
0 3 4
1 0 4
1 4 3
0 0 2
3 0 3
10 7
3 1 1
1 0 0
1 0 3
3 1 3
1 0 2
1 1 3
1 0 1
2 1 0
1 2 0
0 0 2
10 7
1 0 0
3 3 3
0 2 3
2 0 2
3 3 1
3 3 2
2 1 1
1 0 3
1 3 1
1 3 3
10 3
3 4 2
3 1 2
2 0 1
2 0 3
1 0 3
3 0 2
3 2 1
1 3 4
2 4 2
1 2 2
10 3
0 3 1
3 0 1
1 4 1
4 1 0
2 0 1
3 2 3
2 1 0
0 1 2
4 2 0
0 1 0
10 3
3 5 5
2 1 3
2 5 4
4 5 4
5 1 2
3 4 5
0 0 3
3 5 0
5 3 3
3 0 5
10 6
1 1 1
0 0 3
2 1 1
1 1 2
0 1 3
0 3 2
3 1 2
2 1 3
3 2 0
0 2 3
10 8
2 0 2
1 0 1
2 0 1
2 1 1
1 0 0
0 1 1
1 2 1
1 1 1
0 0 0
2 2 0
10 3
0 3 1
0 1 3
2 2 1
3 3 3
3 1 1
2 2 3
2 2 2
3 1 2
3 3 1
1 3 0
10 9
3 3 1
1 3 1
0 0 1
3 3 0
2 1 3
0 2 0
2 0 3
1 3 2
0 0 3
0 1 2
10 5
1 0 1
0 1 0
2 2 0
1 0 2
0 1 2
1 1 2
2 0 1
2 2 2
1 2 2
0 0 2
10 9
0 1 1
3 1 1
0 4 1
4 4 1
0 4 2
3 1 3
0 1 0
3 3 4
1 4 4
1 0 2
10 9
0 2 2
2 2 2
1 0 2
0 0 0
1 0 0
2 1 0
2 2 0
2 1 2
1 2 2
0 1 2
10 9
1 4 3
5 0 3
5 1 4
0 3 3
4 4 2
0 2 5
2 2 5
0 0 2
2 0 5
3 0 3
10 2
4 4 1
1 1 4
3 4 0
2 0 3
4 2 1
0 2 0
2 2 2
0 3 2
0 2 2
2 4 3
10 4
0 2 1
3 1 1
4 4 1
1 1 3
4 2 4
2 2 1
0 0 2
3 3 1
0 3 2
0 3 4
10 5
0 2 2
0 1 2
2 0 2
2 1 2
0 1 0
2 2 2
1 0 2
0 2 0
0 0 2
2 1 1
10 4
1 1 4
1 4 3
1 0 3
4 2 5
3 0 1
5 2 3
1 1 0
0 2 0
0 5 5
4 3 3
10 5
0 0 1
1 1 0
3 1 3
1 2 0
0 0 0
3 0 2
1 0 3
3 2 0
3 3 1
2 0 0
10 3
1 0 2
1 2 0
0 3 0
3 1 2
0 0 2
1 0 0
2 3 2
2 3 1
2 3 0
1 2 3
10 9
4 4 1
3 4 0
2 0 4
0 4 4
2 4 2
1 1 1
2 0 3
3 3 4
4 4 0
1 3 4
10 2
4 2 5
3 5 2
1 5 2
3 0 0
5 5 1
2 1 3
4 2 3
1 5 0
4 3 2
2 4 1
10 2
1 2 2
3 3 1
1 0 3
0 3 3
2 0 2
2 2 2
0 3 0
3 2 1
0 2 3
1 2 3
10 3
3 4 4
2 0 4
1 4 1
0 1 1
4 2 4
1 1 1
1 1 0
2 2 3
4 1 1
4 1 4
10 9
1 2 0
3 3 1
3 0 1
0 1 3
2 0 0
2 3 3
3 0 3
1 2 3
3 0 0
2 0 2
10 6
0 1 1
1 1 1
1 2 0
2 0 0
2 1 1
2 1 0
1 0 2
1 1 0
1 0 1
1 1 2
10 9
0 2 1
0 3 3
1 3 3
3 3 3
0 3 2
2 2 3
0 3 1
1 2 2
0 1 2
3 2 1
10 8
1 2 4
4 4 0
2 2 0
0 1 3
3 0 1
0 1 2
0 0 3
3 2 0
4 0 1
0 1 0
10 6
1 2 1
1 3 2
3 1 2
3 2 3
1 1 1
0 0 0
0 3 0
2 3 0
2 2 2
0 0 1
10 2
5 1 0
3 2 2
5 2 5
0 1 1
5 5 0
2 0 5
1 0 1
1 3 1
0 0 3
5 5 2
10 2
0 2 1
2 2 0
1 1 1
1 2 1
0 1 1
2 0 0
1 1 2
0 0 1
1 0 2
2 2 2
10 3
2 1 0
5 3 3
3 2 0
2 2 0
0 5 3
0 2 1
4 5 1
1 4 0
3 1 0
2 3 2
10 3
3 3 3
0 3 3
4 1 0
0 4 1
4 0 2
2 1 1
0 2 3
2 2 1
1 2 3
4 1 4
10 5
0 3 0
0 2 3
0 1 4
2 1 1
1 0 1
0 2 4
0 0 1
3 4 3
0 4 3
1 3 0
10 2
2 1 2
1 1 2
1 0 1
1 1 1
2 1 0
1 2 0
2 1 1
1 0 2
0 0 2
0 0 0
10 8
0 2 2
4 4 0
3 1 3
4 2 2
0 0 1
2 1 4
0 3 5
3 0 2
4 1 1
5 1 0
10 7
2 1 2
1 1 0
0 0 2
1 0 1
1 1 1
0 2 1
0 0 1
0 1 2
0 2 2
1 0 0
10 8
2 1 2
0 3 2
3 2 1
3 0 2
3 0 3
1 3 1
0 1 1
3 1 0
0 2 0
0 0 3
10 4
1 0 3
0 1 0
5 1 3
4 1 3
3 0 2
3 1 2
2 3 4
5 4 3
2 4 3
1 5 1
10 6
0 0 1
2 1 1
3 2 4
3 0 0
4 2 0
4 4 0
4 1 1
4 2 1
2 2 1
0 1 4
10 2
0 0 1
0 4 1
2 2 0
2 3 0
4 0 0
3 4 1
1 4 4
1 0 3
4 0 2
3 2 4
10 5
1 2 2
5 1 3
5 2 5
3 2 5
1 2 0
5 0 2
2 5 2
2 1 4
2 0 0
4 1 5
10 6
4 1 3
2 5 5
2 5 1
2 4 2
5 5 5
1 0 1
1 1 3
0 0 2
4 1 1
5 0 1
10 9
1 2 0
2 4 2
0 4 4
2 2 3
4 0 0
3 1 4
3 2 1
1 0 1
0 0 1
3 3 4
10 2
1 3 1
1 3 0
1 4 0
2 0 1
3 4 0
1 0 2
4 1 1
0 0 3
3 3 4
0 3 0
10 9
0 4 1
1 1 1
0 1 4
0 4 3
4 1 1
4 4 0
2 3 3
3 1 3
2 4 0
4 2 3
10 7
2 3 5
2 5 1
0 2 2
1 2 3
5 2 3
1 0 4
3 1 0
0 4 5
3 4 5
3 3 5
10 5
3 3 1
1 0 0
0 2 0
0 1 3
1 2 0
0 3 3
2 1 2
1 1 2
1 2 2
3 3 2
10 4
1 1 2
0 0 2
0 1 0
2 2 2
0 0 0
2 0 0
2 1 1
1 2 0
2 1 0
0 2 1
10 8
1 1 3
2 3 3
2 3 0
1 2 2
1 3 0
3 4 2
2 0 4
4 2 4
0 2 1
4 0 1
10 5
0 2 2
5 3 3
5 5 5
2 0 4
3 4 2
5 0 2
5 4 1
1 5 1
0 4 2
4 4 5
10 3
2 4 5
0 3 2
3 1 1
1 3 4
5 3 4
1 3 2
3 3 1
2 0 4
2 1 2
1 4 2
10 8
1 2 2
0 2 1
2 1 2
1 0 1
1 0 0
0 2 2
1 0 2
2 1 0
0 1 1
0 0 2
10 4
1 2 1
2 3 1
0 2 3
0 3 1
2 0 0
2 1 1
2 2 1
2 0 2
1 2 3
0 1 1
10 8
1 2 3
1 3 0
3 0 5
5 0 1
3 4 0
1 0 1
5 3 1
4 2 0
0 4 1
0 4 4
10 8
0 4 2
4 0 3
1 0 0
4 1 2
3 2 4
2 3 4
1 4 3
3 2 2
0 1 3
1 3 3
10 9
0 3 2
2 1 1
3 0 1
0 1 3
2 3 0
1 2 3
1 0 1
2 1 2
1 1 0
3 1 2
10 7
0 1 2
3 0 2
0 1 0
2 2 2
0 0 2
2 0 3
3 2 1
2 0 2
0 2 2
2 1 3
10 3
0 0 1
2 2 1
3 2 0
1 3 3
0 2 3
1 1 1
0 0 3
3 2 2
2 3 2
0 2 0
10 6
0 0 1
0 0 0
1 2 0
0 1 2
1 2 1
1 1 2
0 1 0
0 1 1
0 2 0
2 1 0
10 6
0 2 2
1 3 1
5 1 5
5 5 2
4 1 5
1 1 5
1 5 0
2 2 4
4 4 1
1 1 0
10 9
1 0 2
1 0 1
0 0 0
0 1 1
0 2 0
0 0 1
1 1 1
0 2 1
2 2 1
2 2 0
10 6
1 1 2
2 2 0
1 0 1
1 1 1
2 2 1
0 0 2
2 0 1
2 0 0
0 2 0
0 1 2
10 2
1 2 4
3 3 3
2 0 5
3 4 4
0 4 2
5 5 4
3 1 0
4 1 2
2 1 2
0 3 2
10 6
3 0 0
0 3 0
3 0 1
3 0 2
0 2 2
2 2 2
1 1 2
0 0 1
0 3 2
2 0 1
10 7
2 0 0
2 1 0
3 2 1
2 0 1
1 2 3
1 0 1
3 0 2
2 2 3
1 2 2
3 3 1
10 2
3 2 1
1 1 2
2 0 1
2 2 0
0 1 2
2 3 0
1 2 0
0 1 1
1 2 1
2 1 3
10 5
4 4 1
0 5 2
2 2 5
1 3 0
1 3 4
2 0 0
4 3 4
0 0 3
3 5 4
2 0 1
10 8
4 0 0
2 1 2
4 2 2
0 2 3
3 4 0
2 4 4
3 3 3
4 4 3
4 4 1
1 3 2
10 9
3 1 0
1 3 1
0 1 1
1 2 2
3 3 1
3 1 3
0 1 2
2 3 2
1 3 2
3 0 0
10 5
1 1 2
2 0 2
1 1 1
2 1 2
1 2 1
2 1 1
0 1 0
1 2 0
2 1 0
2 2 1
10 8
2 2 0
2 0 0
1 2 0
1 2 1
0 1 2
0 0 2
2 0 2
1 1 0
1 1 2
0 0 1
10 3
4 1 4
3 1 5
2 2 2
4 2 0
1 1 4
3 1 4
0 4 3
1 3 4
1 5 4
3 0 1
10 7
3 0 0
0 3 3
2 2 2
3 3 0
3 2 1
3 2 2
1 2 3
1 3 3
1 0 2
3 3 3
10 6
5 1 4
5 4 3
5 0 3
1 4 0
0 0 5
5 3 1
4 2 4
3 0 4
4 0 4
3 3 4
10 3
0 1 1
1 0 2
2 1 2
2 1 0
1 2 1
1 1 0
0 1 0
0 1 2
1 2 0
2 1 1
10 9
1 0 2
0 1 2
2 1 0
2 2 1
0 1 0
0 2 0
1 0 0
0 0 2
1 2 0
0 0 1
10 6
3 3 3
2 3 0
3 2 3
2 2 2
2 3 3
0 2 2
3 1 3
3 0 2
3 0 0
1 1 1
10 6
2 1 4
3 0 3
0 3 0
1 0 3
4 0 3
3 0 0
0 2 3
1 3 4
4 4 0
3 4 3
10 8
0 0 2
1 1 1
0 0 0
0 0 1
2 0 0
0 2 0
2 2 2
2 0 1
0 1 2
2 2 0
10 5
3 3 1
3 1 1
2 2 3
0 1 2
2 3 2
1 1 0
2 3 1
2 0 0
0 2 0
1 0 2
10 5
2 3 1
2 1 3
2 1 2
1 2 3
0 0 1
4 4 4
3 2 3
4 0 2
3 1 2
0 1 3
10 2
1 0 0
0 1 1
0 2 2
2 2 2
1 1 2
2 2 1
1 2 2
1 0 2
1 0 1
2 0 1
10 5
1 1 4
1 0 3
2 4 4
4 2 1
0 5 4
5 1 0
5 0 1
2 2 4
3 4 3
5 2 3
10 4
0 3 1
1 2 1
3 2 2
1 3 0
1 1 0
2 1 3
1 1 3
1 3 3
1 0 2
0 2 1
10 4
5 0 2
2 0 5
0 3 2
4 2 5
5 2 3
3 1 2
2 1 3
4 1 1
3 4 0
3 2 4
10 5
4 0 4
2 4 3
0 4 5
4 5 0
3 5 2
2 0 0
1 2 5
4 5 1
4 3 4
3 5 0
10 7
3 0 1
4 3 1
2 1 4
4 1 2
3 2 4
0 4 1
2 4 4
3 0 3
3 0 0
1 3 2
10 9
4 4 0
4 3 1
5 1 4
3 3 3
3 3 5
2 0 0
1 3 2
0 5 3
2 4 4
3 5 5
10 8
2 0 1
0 1 3
3 1 3
0 0 0
3 2 3
2 0 0
3 2 1
0 0 2
3 0 2
1 3 3
10 2
2 2 1
0 2 2
2 1 0
0 0 1
0 1 1
1 0 2
2 2 2
1 0 1
1 2 0
0 2 1
10 4
1 2 2
1 3 0
1 3 1
2 0 3
2 1 1
1 0 2
2 3 0
0 3 0
1 2 0
0 1 1
10 6
2 5 4
5 4 2
0 4 0
1 5 3
3 2 1
3 2 0
2 2 2
1 5 5
4 1 3
4 2 1
10 5
1 2 0
1 3 1
1 4 2
1 4 0
4 1 4
0 3 1
3 1 0
0 2 0
4 0 2
2 0 1
10 8
1 2 1
0 0 2
1 1 2
2 2 2
0 0 0
0 0 1
1 2 2
1 2 0
1 1 0
1 0 2
10 6
2 0 2
2 0 0
2 2 2
1 0 2
0 1 1
2 2 0
1 0 0
0 2 0
0 2 1
2 1 2
10 7
0 0 2
1 0 2
1 1 1
2 0 0
0 2 2
2 2 1
2 0 1
1 1 0
1 0 1
0 0 1
10 8
3 3 1
3 3 3
2 1 4
4 0 3
0 2 2
2 1 3
2 4 2
2 4 0
3 4 1
2 2 0
10 7
4 0 0
2 4 3
4 2 2
0 2 4
2 3 4
4 1 4
1 1 3
1 3 4
0 4 1
1 2 2
10 2
0 1 3
1 1 0
2 3 0
1 2 2
2 1 1
3 0 3
3 1 0
0 2 0
2 2 3
2 2 2
10 6
3 4 0
2 0 0
4 2 2
4 0 1
1 4 0
1 1 3
1 0 3
0 0 1
0 0 4
4 3 1
10 6
4 4 3
3 4 2
1 2 1
4 1 4
4 1 2
3 1 2
2 0 2
3 2 4
0 3 0
2 0 1
10 2
0 4 0
1 2 2
2 0 1
1 1 0
3 4 4
1 4 2
0 1 5
0 0 5
0 5 3
2 2 2
10 9
0 1 0
1 0 1
1 0 0
0 0 2
2 1 2
2 1 1
0 1 2
1 2 2
2 0 2
0 2 2
10 4
0 1 1
3 0 5
2 4 3
2 0 3
1 2 5
4 3 2
1 1 2
3 1 5
1 5 2
1 0 3
10 4
1 3 3
4 0 3
1 4 1
2 0 4
2 4 2
2 4 0
0 4 2
4 3 4
0 1 1
4 2 1
10 9
3 0 0
4 1 1
1 3 0
1 2 4
2 4 1
0 3 3
3 0 3
0 0 2
2 3 0
1 2 3
10 3
2 0 1
2 2 1
0 1 2
0 2 0
0 0 0
1 0 2
0 1 1
1 1 1
1 0 1
1 2 0
10 3
2 0 0
2 1 2
0 3 1
0 0 3
3 2 3
1 0 1
1 3 2
1 0 3
2 0 2
0 1 3
10 5
1 3 4
3 0 3
0 3 3
2 4 4
3 0 4
2 1 3
0 4 0
2 0 0
0 2 2
0 0 2
10 2
0 0 2
4 1 2
3 3 5
2 0 4
0 4 4
3 2 5
2 2 5
5 0 3
0 1 0
5 1 1
10 8
0 0 0
2 0 0
1 2 2
1 2 1
0 0 1
1 1 2
2 1 1
1 2 0
1 1 1
2 1 0
10 8
2 0 1
3 1 3
3 1 2
3 2 3
2 2 0
2 3 2
2 0 3
0 2 1
3 0 0
0 1 2
10 4
2 0 1
1 0 2
2 0 0
2 1 2
2 2 1
1 0 0
0 1 0
0 1 1
1 1 0
2 2 0
10 9
2 2 4
2 4 0
2 3 3
2 1 2
3 2 3
2 1 3
3 0 4
3 1 2
4 2 1
1 3 1
10 3
0 3 2
2 3 0
3 0 2
2 3 1
0 3 1
1 0 0
2 3 2
0 2 2
3 1 0
1 1 3
10 3
0 2 0
1 1 1
1 1 2
1 0 1
2 1 1
2 0 2
0 1 1
0 2 2
1 0 2
1 0 0
10 6
4 2 1
1 2 4
1 1 2
3 2 1
1 3 0
2 2 1
3 0 0
2 4 1
1 3 4
2 3 1
10 9
3 0 0
0 0 2
0 3 3
1 2 3
3 1 1
2 3 3
0 1 0
2 3 0
2 1 3
1 2 1
10 6
2 2 2
2 2 0
1 1 2
2 1 2
1 0 1
0 1 0
0 0 2
2 0 1
1 1 1
0 2 1
10 4
2 1 2
2 0 2
0 1 2
0 2 2
2 2 2
2 2 1
1 1 1
2 1 1
2 0 0
1 0 2
10 4
1 1 2
0 2 2
2 1 0
3 1 0
2 2 2
1 1 3
1 2 1
2 3 3
1 0 3
2 3 2
10 6
1 2 1
1 1 1
2 2 1
2 0 1
0 1 0
1 2 2
2 1 0
1 1 0
2 2 0
0 1 1
10 2
1 3 4
1 3 5
2 1 5
4 2 4
5 0 2
5 3 0
4 0 4
3 1 0
4 1 5
1 1 3
10 9
1 2 0
2 1 0
1 2 2
3 1 0
3 0 1
1 2 3
0 0 1
0 3 3
3 2 0
1 3 0
10 9
1 2 4
0 0 4
1 2 2
1 3 0
0 2 0
2 0 0
0 4 1
3 0 4
1 0 3
4 4 1
10 8
0 1 2
0 1 1
0 1 0
2 2 1
2 2 0
0 2 2
1 0 0
1 1 2
2 2 2
2 0 1
10 2
1 3 2
1 4 1
1 3 1
0 2 0
3 2 0
0 3 4
4 2 4
4 0 4
3 3 4
3 4 4
10 2
2 1 2
3 2 2
2 1 3
1 0 2
0 3 3
0 2 1
3 3 1
2 2 1
3 2 3
3 3 3
10 4
4 2 2
3 5 5
2 4 1
0 2 3
5 1 0
4 2 0
0 5 5
3 4 4
0 1 2
0 1 4
10 6
1 2 2
0 0 1
3 3 3
3 0 1
0 0 0
2 1 1
3 1 2
0 0 2
0 3 0
3 3 0
10 4
2 3 0
5 3 0
0 1 2
3 3 2
1 4 2
4 0 5
5 3 2
5 3 4
2 5 2
1 3 2
10 7
0 5 2
1 0 3
1 5 3
3 5 3
3 1 5
0 5 0
5 4 5
5 3 3
2 0 0
1 0 1
10 3
1 0 1
1 0 2
2 1 0
2 0 1
0 0 0
2 0 2
1 2 0
1 1 0
0 2 1
1 2 2
10 7
0 2 1
1 1 1
2 1 0
2 2 2
0 0 2
0 0 0
0 2 2
0 2 0
1 0 2
1 1 0
10 8
2 1 2
1 1 2
0 0 0
1 1 1
2 1 0
2 0 2
2 2 2
0 1 2
2 1 1
1 0 2
10 5
0 3 1
2 4 1
3 3 4
2 3 1
4 2 2
2 0 1
3 1 1
1 1 0
4 1 0
0 2 0
10 5
3 2 4
0 0 1
1 2 3
5 0 0
4 1 1
1 2 4
4 4 4
1 0 3
3 4 3
5 5 0
10 3
0 1 1
2 2 2
0 0 2
2 1 2
1 0 1
0 2 1
1 1 1
0 1 2
1 1 2
2 2 0
10 7
0 1 3
0 0 3
0 1 0
3 3 1
0 2 2
1 2 0
2 2 2
2 3 3
3 3 3
0 0 1
10 8
3 2 1
0 0 2
2 2 0
0 3 0
0 3 3
0 2 1
2 3 0
1 3 0
3 3 3
0 3 2
10 6
3 3 4
2 0 0
0 2 5
3 4 0
5 1 5
4 2 2
1 4 3
1 3 1
3 2 4
1 0 5
10 2
2 0 1
4 4 2
2 2 3
3 1 1
2 2 1
2 1 0
1 0 3
4 2 0
2 0 3
1 3 3
10 3
2 2 1
1 0 1
2 0 0
1 2 0
2 2 2
0 1 1
2 1 1
2 1 2
1 0 2
2 0 2
10 8
3 2 2
2 5 1
4 1 3
1 2 4
0 3 2
0 3 0
2 0 5
5 2 1
3 2 5
5 0 3
10 2
1 3 1
3 0 2
0 3 0
1 2 3
0 0 2
2 3 2
3 3 0
3 1 1
0 2 2
1 1 0
10 2
1 3 3
3 3 4
2 2 0
4 2 1
1 2 4
2 4 3
0 3 3
4 4 0
1 2 0
1 1 1
10 7
3 0 2
2 3 1
1 1 2
1 1 1
3 0 0
0 1 0
3 2 1
3 3 0
0 2 2
0 0 3
10 9
0 2 1
0 0 2
2 0 0
2 1 2
1 3 1
1 0 3
1 0 1
2 3 1
2 0 2
3 1 0
10 2
0 5 0
3 1 4
5 0 0
2 5 3
2 1 4
1 0 4
5 2 3
0 5 4
4 5 5
0 5 2
10 2
0 2 2
0 2 1
0 1 2
3 0 0
1 0 0
3 0 2
0 1 0
2 1 3
1 0 3
1 2 2
10 2
1 4 4
1 5 0
2 1 2
5 1 1
2 3 0
5 5 3
3 1 1
1 0 0
1 3 3
2 0 2
10 2
1 0 2
3 2 3
3 1 3
3 1 2
3 0 2
3 3 1
0 1 3
2 2 3
2 3 1
1 0 3
10 3
4 2 1
2 3 1
4 1 2
2 4 4
2 2 2
4 2 2
2 3 2
3 3 3
4 1 1
0 4 0
10 3
0 3 4
1 0 4
4 0 5
3 5 5
2 2 0
4 0 3
0 5 3
1 5 3
4 5 3
5 3 2
10 4
1 0 3
0 3 1
2 3 1
3 0 0
2 0 2
0 3 3
1 3 3
2 2 1
2 0 3
3 3 1
10 7
2 0 2
0 0 0
2 2 0
2 2 2
1 1 0
2 1 1
2 2 1
1 2 1
0 0 2
0 1 2
10 9
1 2 5
2 5 3
5 0 4
1 3 4
4 2 2
5 4 4
0 3 2
4 5 3
0 1 2
1 2 3
10 2
0 2 0
2 2 2
2 1 2
0 0 0
1 0 0
1 1 1
0 1 0
0 1 1
1 1 0
2 1 1
10 7
4 2 1
1 3 1
1 2 1
5 2 0
4 4 3
3 5 1
5 4 4
0 3 1
0 0 1
2 3 4
10 3
0 0 0
1 2 2
3 0 2
3 3 3
3 3 1
2 1 2
0 3 0
2 1 0
1 2 1
3 0 0
10 6
1 0 1
4 1 1
4 0 2
0 1 1
2 2 2
0 2 4
4 4 4
2 1 0
3 3 1
4 4 1
10 2
4 0 3
1 0 2
3 4 0
1 4 2
2 0 4
0 3 4
0 1 0
2 1 3
0 4 4
2 2 3
10 3
1 0 1
2 2 3
0 0 1
0 0 0
3 1 2
3 3 2
3 0 2
0 3 1
0 2 0
1 0 0
10 6
0 1 4
0 4 2
0 2 3
2 1 3
3 1 3
1 3 4
0 2 1
3 3 3
2 0 2
2 2 2
10 5
2 0 2
0 1 2
1 0 1
1 1 2
0 1 0
0 0 2
0 2 1
2 2 1
0 0 0
2 2 0
10 9
2 2 0
0 1 0
3 0 2
0 2 3
0 1 2
0 2 1
2 3 2
3 3 0
0 0 3
1 3 3
10 5
0 0 0
0 1 3
1 2 0
0 1 2
2 1 0
1 2 2
0 3 2
3 0 0
3 0 1
1 1 0
10 7
1 2 3
4 2 1
3 0 2
2 4 1
1 2 1
4 4 2
4 3 3
4 1 3
4 0 1
3 3 0
10 8
3 2 1
1 3 1
4 0 1
1 3 2
4 1 0
0 2 4
2 4 0
1 2 1
0 0 0
3 4 0
10 5
1 1 1
1 0 2
1 0 0
0 3 0
2 2 0
0 2 0
1 3 1
0 3 1
2 1 1
0 0 1
10 3
2 2 2
0 0 2
1 0 2
2 1 0
0 1 1
1 1 2
2 0 1
1 2 1
0 1 0
1 1 1
10 4
1 2 4
0 3 4
4 1 1
2 2 3
3 0 4
0 1 4
0 3 3
4 0 3
0 4 4
4 4 1
10 4
2 3 2
3 0 2
1 1 2
2 0 3
2 1 1
2 1 2
0 2 3
1 3 3
0 0 3
3 3 0
10 7
1 0 3
2 2 3
3 0 2
3 3 4
1 1 2
0 1 2
4 3 2
3 1 0
3 1 1
0 1 0
10 9
5 5 3
4 4 3
4 0 3
1 3 1
4 3 2
1 2 1
0 0 2
4 5 1
3 4 5
4 2 2
10 7
1 2 1
2 2 1
0 1 0
2 0 1
2 0 0
0 1 2
2 2 2
2 0 2
2 1 1
2 1 2
10 6
3 0 3
2 2 1
0 1 2
2 1 2
2 3 0
1 1 2
1 0 0
3 3 2
1 1 1
2 2 0
10 6
1 2 2
1 1 0
0 2 0
1 0 2
0 0 0
2 1 1
2 2 0
1 1 2
2 1 2
0 2 1
10 6
1 1 2
2 0 1
1 0 0
1 0 1
1 1 1
1 1 0
2 0 2
1 0 2
1 2 0
0 0 1
10 8
4 3 0
4 4 3
3 0 2
3 1 0
2 1 0
3 3 0
0 4 3
4 4 2
3 0 0
3 1 3
10 7
1 0 1
1 0 0
2 2 2
3 1 3
2 0 0
1 2 1
1 3 3
0 3 3
1 1 3
0 2 1
10 9
2 1 4
4 3 2
4 3 3
3 3 2
3 3 1
1 2 3
4 1 0
2 3 1
0 4 4
2 0 3
10 9
4 3 4
2 0 0
2 3 3
1 2 1
3 2 3
3 1 4
3 4 2
3 0 1
2 4 0
4 1 2
10 8
2 0 1
1 0 0
2 2 2
1 2 3
1 1 1
1 0 1
2 1 2
0 0 1
2 2 1
3 3 1
10 6
4 4 4
0 3 0
1 4 3
0 3 2
0 0 4
0 4 1
3 3 3
3 4 2
1 4 2
2 4 4
10 2
2 4 0
2 1 4
0 2 3
0 1 0
3 0 4
4 4 2
2 0 4
3 3 4
4 1 1
0 0 2
10 4
4 1 2
0 4 3
0 2 2
0 2 1
2 3 2
1 0 1
2 1 2
1 0 4
2 2 3
0 3 4
10 9
0 1 1
2 3 2
2 1 1
0 0 2
1 3 2
0 3 1
0 2 1
0 2 2
1 2 1
3 1 1
10 6
0 1 2
2 0 0
0 0 0
1 0 0
2 1 2
0 2 2
1 2 1
0 2 0
2 2 1
0 0 2
10 4
2 2 0
0 0 0
0 0 2
0 1 1
2 1 0
2 0 2
1 0 0
2 2 2
2 1 1
0 1 2
10 5
3 3 0
4 5 3
1 3 3
0 2 2
5 5 2
1 1 4
4 5 5
2 5 5
3 4 0
1 2 5
10 8
5 5 2
2 0 1
2 0 5
4 1 3
2 4 2
4 4 5
0 4 3
5 3 5
4 5 0
4 5 3
10 2
0 2 0
0 1 2
2 0 1
0 0 2
1 2 0
0 0 0
1 2 2
1 2 1
2 0 0
2 1 2
10 2
4 4 2
0 1 3
2 4 4
2 2 3
0 0 4
0 1 1
4 3 4
4 0 3
4 1 2
2 1 0
10 3
2 1 0
0 2 4
0 0 4
0 1 1
1 2 4
3 4 0
2 4 0
3 4 2
4 1 2
4 0 1
10 8
4 4 0
2 4 1
4 3 3
4 2 1
0 2 0
2 0 1
1 1 3
2 1 1
2 1 4
2 2 1
10 5
4 1 2
4 1 4
3 0 2
3 0 4
4 4 0
3 4 2
4 2 4
1 3 3
2 4 3
3 0 1
10 9
3 2 1
4 1 5
2 4 2
2 4 1
0 5 2
5 5 2
2 3 5
2 4 3
0 0 5
3 3 2
10 9
5 5 5
0 0 2
3 3 1
5 4 4
2 2 3
1 5 1
3 5 0
0 5 3
1 0 4
0 3 1
10 7
1 1 1
1 1 2
2 2 1
2 2 2
2 0 2
2 1 2
1 1 0
1 2 1
1 2 2
2 0 1
10 8
1 1 2
0 2 1
2 2 1
1 1 0
0 1 2
0 2 0
0 0 2
1 0 2
0 1 0
0 0 0
10 3
2 1 1
3 1 2
1 0 0
1 3 0
3 3 1
2 2 0
1 2 1
3 3 2
1 0 1
3 1 3
10 6
0 1 1
2 4 2
3 1 3
0 3 4
3 1 0
2 3 3
0 4 4
1 3 4
1 4 0
2 1 3
10 9
1 2 0
1 0 3
0 1 4
2 2 1
3 0 0
0 5 5
5 1 0
2 5 1
1 0 1
4 5 2
10 8
1 0 4
4 3 1
1 0 0
1 1 2
3 4 0
0 0 3
4 3 2
3 0 1
1 4 4
2 4 2
10 2
2 1 2
1 2 0
0 2 1
0 2 2
0 0 0
2 2 0
2 1 1
2 1 0
0 0 1
1 1 1
10 7
4 1 1
1 0 1
4 1 0
1 0 3
2 2 3
2 1 4
3 3 4
4 2 0
4 2 3
2 3 3
10 6
1 3 1
0 2 3
3 0 0
3 1 1
3 3 2
0 2 0
1 2 2
3 2 1
1 1 0
2 3 2
10 8
4 4 2
0 1 2
2 4 2
1 4 2
0 4 4
1 2 2
4 1 1
4 0 1
0 1 1
3 4 4
10 6
5 2 5
0 0 5
2 1 5
4 4 2
5 3 0
2 0 3
1 2 4
1 5 5
4 1 4
2 3 4
10 9
5 5 3
3 3 0
3 5 4
4 4 0
5 3 2
5 4 4
3 0 1
2 2 4
2 4 4
2 5 2
10 8
2 1 2
1 0 1
1 1 2
0 2 2
1 1 0
1 2 0
0 1 2
2 2 2
0 1 0
1 0 0
10 3
1 5 4
0 0 5
3 0 3
1 4 1
3 5 1
3 4 1
1 4 4
2 5 4
4 1 4
2 3 5
10 9
2 0 1
0 0 0
2 0 4
0 2 0
1 3 5
4 5 4
1 5 0
1 2 0
2 3 0
0 0 1
10 4
4 1 3
0 3 2
4 5 5
3 0 3
3 5 5
0 4 5
0 5 3
4 4 1
2 3 0
2 4 1
10 8
2 0 2
3 2 2
2 2 1
0 4 0
4 1 3
1 4 0
3 4 4
3 2 3
2 1 0
2 4 0
10 3
0 1 1
4 2 4
4 4 1
4 0 2
3 0 4
4 4 4
0 1 4
3 1 0
0 4 4
1 2 2
10 7
0 0 1
1 2 1
0 2 2
0 1 2
1 1 2
2 0 2
2 0 0
2 1 2
0 1 0
0 2 0
10 7
1 2 2
3 1 0
1 3 3
2 3 2
3 0 1
2 1 0
1 1 1
2 1 3
2 2 2
2 3 0
10 3
5 2 2
0 5 4
4 2 0
0 4 0
3 1 0
3 5 0
5 4 0
4 0 5
2 4 4
0 1 3
10 7
2 0 2
2 1 0
0 2 1
2 0 1
1 0 2
0 0 0
2 2 0
1 1 1
2 2 2
1 0 0
10 5
1 4 5
0 2 1
3 4 1
3 1 5
2 5 3
2 5 4
0 1 0
2 4 1
2 2 5
2 4 5
10 5
5 1 5
4 4 1
0 2 2
4 0 1
0 5 2
5 4 1
5 4 0
4 2 3
3 1 4
0 0 4
10 4
1 0 1
2 2 0
1 2 2
0 2 0
2 2 2
0 0 2
2 2 1
1 0 2
2 0 2
0 1 2
10 7
4 1 0
4 0 1
3 1 2
3 3 3
1 2 4
2 3 1
1 1 0
0 2 4
4 1 1
0 0 0
10 9
0 0 0
1 1 2
1 3 3
1 2 3
2 1 1
3 0 0
3 3 2
0 3 1
0 1 1
0 0 1
10 8
2 2 1
2 3 1
3 1 1
1 0 1
0 3 1
2 0 0
0 0 2
3 0 2
1 0 3
0 0 0
10 4
1 2 0
0 0 1
1 0 0
1 1 2
2 1 2
0 2 1
1 0 1
2 0 0
0 1 1
2 2 1
10 5
4 4 5
4 2 0
3 4 4
1 4 4
5 3 5
4 5 2
2 1 2
2 2 0
2 0 5
4 0 1
10 7
1 2 2
2 1 2
0 1 2
2 1 0
1 2 1
2 0 0
0 2 1
0 0 0
2 2 1
0 0 1
10 6
2 0 1
1 0 2
1 1 2
2 1 0
2 1 1
0 2 1
2 1 2
1 2 1
2 0 0
1 0 0
10 5
2 3 3
1 4 0
2 2 2
4 1 0
3 5 1
4 0 5
1 5 4
5 3 5
0 5 1
1 5 1
10 9
1 1 2
1 0 0
0 2 0
1 0 1
1 0 2
0 0 0
0 2 1
2 1 0
2 1 2
2 0 1
10 6
2 1 0
4 4 4
2 1 3
0 4 2
1 3 2
4 0 0
2 4 1
4 2 0
3 1 1
4 4 0
10 4
3 2 2
0 4 3
4 2 4
4 4 5
1 5 0
1 0 1
2 1 0
3 1 0
0 0 0
3 4 4
10 3
0 0 2
3 0 0
4 2 4
0 4 2
2 2 3
2 3 3
3 1 3
3 4 0
2 0 4
0 2 1
10 5
0 1 0
2 1 0
0 1 1
2 2 1
2 2 2
2 0 1
1 0 0
2 0 2
0 1 2
2 2 0
10 4
2 2 0
2 0 0
1 3 3
2 2 3
0 3 3
2 0 3
1 3 2
3 3 0
0 0 2
2 1 2
10 2
3 1 3
1 1 2
1 0 1
1 3 0
0 1 2
3 2 0
1 2 4
4 1 3
2 3 3
0 4 3
10 7
2 3 4
1 4 1
1 4 0
0 4 0
3 4 3
0 2 4
2 2 3
4 1 4
1 0 1
4 3 2
10 9
1 1 0
1 1 2
1 0 2
2 1 2
1 1 1
2 0 1
1 0 1
0 0 1
0 0 0
2 2 1
10 9
1 0 2
1 0 3
0 0 0
2 1 1
2 0 1
0 0 3
3 0 2
3 1 3
2 0 3
0 0 1
10 8
1 0 1
0 4 0
4 1 2
2 2 1
3 0 1
3 4 4
1 1 1
2 4 3
0 1 0
4 4 2
10 8
3 4 4
4 2 3
0 2 0
2 4 3
0 3 3
1 4 3
2 0 3
2 2 2
3 3 1
3 2 1
10 4
2 2 0
1 0 2
2 0 2
1 0 0
0 1 0
0 0 0
1 2 2
2 1 1
0 2 1
2 2 2
10 7
1 2 2
1 1 2
1 2 1
2 2 0
1 1 0
2 0 1
0 1 0
2 2 1
0 0 0
2 0 0
10 4
1 1 0
2 2 0
0 0 2
2 1 2
0 1 0
2 1 0
0 2 1
2 1 1
0 2 2
1 2 1
10 8
0 1 1
0 0 1
1 3 1
3 0 1
2 1 0
1 1 3
3 1 3
3 3 3
2 3 0
0 1 3
10 3
1 3 2
1 2 5
4 4 0
5 5 5
4 1 0
2 4 4
2 0 5
0 0 0
1 2 4
5 4 3
10 7
4 4 4
1 3 2
3 3 2
2 1 0
2 3 2
0 0 3
2 4 2
4 0 1
3 1 2
0 2 0
10 7
0 0 1
3 0 0
1 2 2
0 1 1
1 2 0
0 0 2
0 2 1
3 1 1
3 1 3
2 0 0
10 8
2 5 5
4 5 3
0 2 1
3 2 4
3 3 3
1 3 2
1 5 2
5 4 5
2 1 5
3 2 5
10 4
2 0 0
2 1 3
1 2 1
0 2 2
3 0 1
3 2 2
2 1 2
2 1 1
1 2 0
1 1 3
10 2
0 1 2
1 1 0
1 1 2
1 2 1
2 1 2
2 1 0
2 2 0
1 0 2
2 0 2
2 2 1
10 5
0 2 2
0 0 0
2 0 2
2 0 1
1 0 2
0 2 1
1 1 1
0 2 0
1 2 0
1 2 1
10 6
4 3 3
5 2 0
0 1 5
5 3 1
5 0 4
2 4 1
1 5 4
0 0 4
2 5 2
0 3 2
10 5
3 1 2
3 2 2
3 0 0
0 2 0
1 3 0
1 1 1
1 3 2
0 2 1
1 3 1
1 2 0
10 3
1 1 1
3 2 3
1 0 1
0 3 0
3 3 0
2 2 0
2 0 0
1 2 3
2 1 2
3 1 3
10 8
0 2 1
0 1 1
0 1 0
0 3 2
1 3 2
0 0 1
0 0 2
3 0 2
3 1 0
1 1 2
10 2
1 1 3
0 3 0
1 1 2
4 2 1
1 3 4
1 2 4
3 1 3
0 1 1
1 0 0
2 4 4
10 8
0 1 2
2 3 2
0 2 4
0 3 4
0 4 4
0 4 1
1 0 0
3 1 4
2 3 4
2 0 0
10 3
0 1 2
0 1 0
2 1 0
2 1 2
0 2 0
1 2 0
2 0 2
2 2 2
2 0 0
0 0 0
10 5
1 1 2
3 0 3
3 0 0
2 3 0
1 3 3
0 0 3
1 0 1
0 1 0
1 0 0
0 1 3
10 5
2 3 3
1 1 2
3 3 3
0 2 3
2 0 0
0 3 3
1 3 0
3 2 1
3 3 2
1 2 0
10 5
2 0 0
0 1 1
1 0 0
2 0 1
0 0 2
0 2 2
2 2 1
2 1 1
1 1 2
2 1 0
10 6
0 2 1
1 0 2
2 0 0
1 2 2
0 0 2
2 0 1
1 0 0
0 1 1
2 1 0
1 1 0
10 6
3 2 0
2 3 1
3 0 0
4 1 3
1 3 4
4 4 4
2 0 3
4 0 3
2 1 4
4 3 2
10 8
2 2 1
0 1 2
0 2 0
3 3 3
2 3 2
0 3 0
2 3 1
3 2 0
3 1 1
1 2 1
10 6
0 4 5
3 0 5
2 3 4
2 4 5
3 5 5
2 3 2
5 2 1
2 0 4
2 1 3
1 0 3
10 2
4 1 2
1 5 3
2 4 3
4 4 4
2 2 2
1 2 4
1 5 5
2 4 5
1 3 2
4 2 0
10 4
2 2 2
3 0 3
0 0 1
2 2 3
1 2 3
0 2 4
1 4 2
2 3 0
0 5 5
0 3 5
10 7
0 2 1
0 0 0
1 0 2
2 1 1
0 1 1
2 0 0
2 1 0
0 2 0
2 0 2
1 2 1
10 8
2 0 0
2 2 1
1 2 2
1 2 1
2 0 1
1 1 2
1 0 0
1 0 2
2 1 2
0 1 0
10 2
1 0 1
0 2 0
1 1 2
0 0 2
2 1 1
0 1 1
0 0 0
0 1 0
1 1 0
2 0 2
10 8
1 0 4
5 0 5
5 3 5
2 5 1
5 0 0
4 2 0
0 3 4
1 1 0
3 2 3
1 0 2
10 2
3 0 0
2 1 1
4 4 1
2 0 3
2 0 2
2 1 3
0 2 4
1 4 0
2 0 1
3 1 1
10 8
3 0 2
1 0 4
4 2 2
2 3 1
5 3 1
4 2 4
0 3 5
5 4 5
1 3 4
1 5 4
10 2
0 0 1
2 1 1
1 1 1
0 2 2
1 2 1
1 1 2
2 1 2
0 2 1
0 0 0
2 2 2
10 6
0 1 2
4 4 0
4 1 3
2 3 2
2 3 4
1 3 3
2 3 1
3 3 4
3 4 4
3 0 2
10 3
5 0 5
3 3 2
5 1 3
3 2 1
5 4 0
4 2 2
5 3 4
1 5 1
1 2 0
1 2 5
10 4
0 3 0
5 0 5
4 1 5
2 3 0
3 0 3
2 5 5
3 4 3
4 0 1
0 0 1
5 1 2
10 5
1 0 4
0 2 4
3 0 5
1 1 3
3 0 2
2 1 1
2 0 4
2 3 3
1 0 1
5 2 2
10 3
1 2 2
2 2 2
1 1 1
1 1 0
0 2 1
2 0 2
1 1 2
1 2 0
0 1 0
2 1 0
10 7
3 5 1
5 3 1
5 3 0
1 2 0
5 3 2
3 3 1
5 4 1
0 0 2
2 1 5
1 3 3
10 6
4 2 5
3 3 3
5 3 4
2 2 3
2 4 5
5 2 1
5 5 5
5 4 1
3 4 2
3 3 5
10 4
2 0 4
0 2 0
2 2 1
1 2 2
4 4 0
2 0 3
3 4 0
3 1 3
4 3 2
1 3 2
10 6
2 2 1
0 2 2
1 2 0
2 0 0
2 1 2
1 0 2
2 2 2
2 0 1
0 1 1
2 1 0
10 5
3 2 3
1 3 2
3 2 2
2 1 2
3 1 0
1 1 3
1 0 2
1 1 2
2 1 0
1 1 1
10 5
2 3 4
2 0 0
2 4 2
5 4 5
0 3 3
5 2 2
3 2 3
4 2 1
5 4 1
0 2 0
10 9
5 2 5
0 1 1
0 1 2
4 5 5
5 0 4
5 5 4
1 0 4
5 5 5
2 3 5
4 0 1
10 2
2 2 0
2 1 2
1 2 0
1 2 1
2 0 1
1 2 2
2 2 2
2 0 0
2 2 1
0 0 0
10 6
3 0 1
0 0 2
2 1 1
3 1 0
2 1 0
3 2 1
1 1 3
2 2 1
0 2 3
0 0 0
10 2
1 2 3
4 1 4
0 3 3
1 3 2
1 4 2
2 4 0
1 3 3
3 0 0
0 0 3
4 3 3
10 5
2 4 3
2 4 1
2 1 2
0 0 2
2 1 0
0 4 0
2 3 1
1 1 4
4 1 0
4 3 1
10 2
0 0 3
0 4 1
4 3 4
1 0 3
4 4 1
3 1 2
0 0 4
0 0 1
1 0 1
4 4 3
10 2
0 1 3
0 3 2
4 3 4
2 2 3
3 1 2
2 2 0
0 1 4
4 1 1
0 0 1
1 0 2
10 4
0 0 2
3 0 2
0 4 0
1 3 1
4 1 0
1 4 0
1 2 4
3 3 4
1 3 4
3 2 3
10 8
4 3 5
1 0 2
3 0 0
0 0 1
2 5 0
0 1 1
2 0 4
3 3 2
3 5 4
3 0 1
10 4
2 2 1
2 0 0
2 2 2
2 0 2
2 0 1
0 1 2
0 2 1
1 0 2
1 0 0
0 2 0
10 4
0 1 2
2 2 0
1 0 0
1 2 0
2 2 2
2 0 0
0 0 0
1 1 2
0 2 2
0 0 2
10 4
1 1 1
1 0 2
0 0 2
2 2 1
1 1 0
0 2 1
2 0 1
1 0 0
0 0 0
0 2 2
10 3
2 0 2
2 2 1
1 0 2
0 0 1
0 2 0
1 2 0
1 1 0
1 1 2
0 1 0
1 2 1
10 7
0 0 1
1 0 0
2 0 0
2 1 0
2 2 1
1 1 2
2 1 1
2 0 1
1 1 1
2 1 2
10 3
3 0 2
1 3 1
3 2 3
0 3 0
3 1 0
4 0 4
4 3 2
4 0 2
0 1 1
3 3 0
10 5
0 4 3
3 2 2
0 4 4
3 0 4
4 4 1
4 3 0
2 0 4
1 4 0
1 1 4
1 1 0
10 8
1 3 3
3 0 0
3 1 0
2 0 1
4 3 1
1 3 4
4 1 0
3 2 1
2 4 1
4 2 1
10 2
1 2 1
0 0 3
1 3 0
0 2 3
0 1 3
1 1 3
0 2 0
0 3 1
0 2 1
2 3 1
10 5
4 0 0
1 0 1
2 2 4
2 0 3
1 4 0
2 0 4
2 3 0
4 4 2
3 2 4
0 2 2
10 3
0 4 2
1 4 2
3 0 2
0 0 1
0 1 0
3 1 1
4 4 2
4 4 1
2 1 0
3 1 4
10 8
5 2 0
4 2 5
5 5 1
4 0 4
3 1 5
2 5 5
3 2 2
3 0 1
1 0 2
2 5 1
10 6
1 2 1
0 1 0
2 1 1
1 0 1
1 2 2
0 2 0
2 2 0
2 0 2
0 1 2
1 1 0
10 6
2 0 1
0 1 2
1 1 1
1 0 0
2 1 2
2 2 1
0 2 0
2 2 2
0 0 0
1 1 2
10 6
1 4 3
2 4 2
2 3 2
0 1 4
4 2 1
2 1 4
0 1 1
2 0 4
1 1 2
4 3 1
10 3
3 0 0
2 1 1
0 0 2
1 2 1
1 1 2
3 2 1
3 2 2
3 0 3
1 1 3
3 1 3
10 5
2 0 0
0 2 2
1 1 1
2 1 2
2 1 0
1 2 0
0 1 2
0 0 2
2 2 0
0 0 0
10 2
2 2 1
1 0 0
2 0 0
1 1 2
0 2 0
1 1 0
1 0 1
2 0 1
2 2 0
0 2 1
10 5
3 1 3
3 0 1
4 2 1
2 4 1
3 4 0
4 4 4
3 1 4
0 4 0
4 0 1
1 0 4
10 6
1 2 0
2 1 3
1 1 2
2 3 3
3 0 1
3 2 2
1 3 2
2 3 2
0 0 0
3 2 3
10 6
1 1 0
0 1 1
2 0 2
0 0 0
2 1 2
0 0 2
1 1 1
1 2 2
2 0 0
0 2 2
10 2
1 2 0
0 1 1
1 0 1
1 0 2
0 2 2
1 2 2
2 0 0
0 1 2
1 1 0
0 1 0
10 5
4 1 3
4 4 1
3 3 3
0 4 0
5 3 4
4 1 1
1 1 0
3 0 5
1 2 2
5 1 0
10 4
2 0 0
1 2 0
2 1 1
0 2 1
2 1 0
1 1 0
0 1 1
2 1 2
2 0 1
0 2 0
10 3
0 0 2
1 2 2
2 1 2
1 0 2
0 0 0
2 0 1
2 1 0
1 1 0
2 0 2
2 1 1
10 7
2 1 5
1 2 1
0 2 5
0 4 3
4 0 3
5 5 1
2 2 2
3 5 2
4 2 1
3 5 4
10 6
2 4 4
1 3 1
5 3 4
1 5 0
5 0 0
3 1 5
1 0 0
3 2 3
4 4 1
1 3 2
10 4
2 0 1
4 5 5
1 2 4
3 0 5
1 1 3
2 4 3
1 3 3
2 0 2
2 1 2
4 4 2
10 9
5 3 4
0 1 4
2 1 5
4 1 0
0 3 5
0 1 0
1 5 4
5 5 3
1 0 2
3 4 2
10 2
1 2 4
0 4 3
4 2 2
0 0 3
0 2 3
3 1 4
2 0 3
0 2 4
1 3 3
3 1 3
10 6
1 0 4
3 4 2
0 0 3
2 5 3
0 3 3
5 2 4
1 3 2
5 0 5
1 1 0
1 0 1
10 3
0 1 0
1 2 0
2 1 1
1 1 0
0 0 0
2 1 2
1 2 2
0 2 2
2 0 2
2 0 0
10 2
0 4 4
3 2 1
5 3 4
4 5 1
1 5 3
2 1 3
3 2 0
2 5 4
2 1 5
1 1 2
10 8
2 2 0
2 2 3
3 2 2
0 0 3
3 3 2
0 0 0
0 2 3
0 1 0
2 3 1
1 3 2
10 6
2 1 0
2 1 3
0 2 4
4 2 3
2 3 0
3 4 4
3 1 4
2 2 1
3 0 0
3 1 2
10 4
3 2 0
1 4 1
3 0 3
2 3 2
2 4 3
3 2 1
3 1 0
2 2 3
4 3 4
1 4 3
10 9
3 1 0
0 0 2
3 3 3
2 1 3
3 0 1
3 1 2
3 2 2
3 2 1
0 2 2
3 1 1
10 4
2 2 0
3 2 2
1 3 3
2 1 1
3 3 4
4 0 1
0 2 3
0 1 3
0 3 2
2 4 1
10 5
0 1 1
3 0 3
3 1 3
3 3 3
4 4 3
1 1 4
0 2 3
4 4 0
0 2 0
1 2 3
10 3
1 3 1
1 0 4
2 4 0
4 3 1
4 3 0
4 3 4
2 1 1
3 1 2
1 0 2
1 1 1
10 3
2 2 0
1 1 0
0 1 0
1 2 0
2 1 1
0 1 1
0 2 2
2 1 0
0 0 0
0 0 2
10 2
4 0 1
2 2 2
1 3 1
4 2 2
3 2 2
1 4 2
2 4 0
2 1 3
1 0 4
2 2 0
10 3
2 0 1
3 3 1
3 3 2
2 1 0
0 0 0
3 2 1
1 1 2
0 2 0
3 0 3
2 3 2
10 7
4 2 4
3 1 0
3 2 2
2 3 3
1 0 1
1 1 1
4 3 2
0 4 2
3 1 4
1 3 4
10 2
0 3 2
3 2 0
1 3 1
1 1 2
3 0 0
2 2 1
1 2 1
2 2 2
2 3 2
2 1 2
10 3
2 1 2
2 0 1
0 1 2
1 2 2
2 2 1
0 2 2
2 0 2
1 1 2
0 1 0
1 1 0
10 8
1 2 2
1 1 2
3 2 0
0 1 0
2 2 1
1 3 2
3 2 3
1 2 0
2 0 2
1 0 2
10 3
0 1 3
4 3 4
2 4 4
3 3 1
4 0 3
2 1 3
4 2 4
4 4 1
0 4 2
3 4 2
10 3
1 3 0
3 3 3
2 2 0
3 1 2
0 0 2
3 0 3
2 3 3
2 1 0
0 3 2
2 3 0
10 7
1 0 1
0 2 0
2 2 0
2 0 0
1 1 0
1 2 2
2 2 2
2 1 0
2 1 1
0 1 2
10 2
2 3 3
1 1 0
2 3 0
3 2 2
0 3 4
2 1 0
2 1 3
1 2 2
1 3 3
1 1 1
10 9
3 4 1
0 4 2
0 2 1
1 4 3
3 0 3
2 4 1
4 4 3
4 0 1
1 4 1
0 0 2
10 7
3 0 0
2 3 0
0 2 2
2 1 0
1 0 1
2 0 0
3 3 0
3 3 3
0 2 1
1 0 3
10 3
0 3 3
3 3 1
3 1 1
1 3 0
2 2 0
0 1 0
1 3 2
1 2 2
3 1 2
2 1 2
10 6
2 2 0
0 2 0
2 2 1
1 1 1
0 0 2
1 2 2
2 1 1
2 0 0
2 0 1
1 2 1
10 5
0 1 2
0 4 0
3 0 4
0 3 1
1 4 1
0 4 4
1 3 2
0 3 0
3 0 0
0 2 3
10 8
2 2 0
0 2 0
2 0 0
1 0 2
0 2 2
1 0 1
2 2 2
1 2 0
2 0 2
0 2 1
10 2
0 1 5
5 5 4
4 0 4
3 3 0
1 1 0
5 5 1
3 2 0
4 2 5
3 5 4
3 4 4
10 3
5 3 5
3 2 1
0 2 3
2 0 3
0 3 1
1 5 1
3 0 4
2 5 2
0 3 0
4 3 1
10 7
0 1 4
2 0 3
5 3 1
2 2 1
3 3 5
4 5 4
0 0 0
4 2 3
2 5 1
4 1 1
10 4
3 0 2
1 1 2
4 2 3
4 4 3
3 4 1
2 3 3
3 3 4
0 1 0
2 2 4
3 1 3
10 5
0 1 4
1 3 4
3 1 5
0 4 4
3 1 1
4 5 0
2 0 2
0 0 0
1 0 5
2 5 3
10 4
1 2 0
0 1 2
1 2 2
1 1 2
1 0 1
2 2 0
1 1 1
0 0 1
0 2 1
0 0 0
10 9
1 1 2
1 5 0
4 2 0
2 5 2
4 4 5
5 0 4
5 1 4
2 2 1
4 3 5
1 4 4
10 9
3 0 3
1 3 0
3 2 3
0 3 1
0 0 1
2 1 2
1 3 2
3 1 1
0 2 3
0 2 0
10 6
2 2 1
2 0 1
1 0 0
1 1 2
1 2 1
2 1 0
1 2 2
1 1 0
0 2 0
2 0 0
10 6
1 5 3
2 3 5
4 4 5
0 2 1
0 1 3
5 3 0
5 2 3
0 5 0
5 5 2
1 5 0
10 7
0 0 4
3 1 0
2 2 1
1 0 2
2 2 2
1 3 1
4 3 3
3 4 3
2 1 0
2 2 0
10 9
5 1 0
2 0 1
0 1 4
2 4 2
4 3 1
5 4 5
0 3 5
1 2 5
4 2 2
4 5 3
10 6
0 0 2
2 0 1
0 2 2
1 0 1
1 0 2
0 0 1
1 1 2
0 1 2
2 1 0
0 2 1
10 4
1 2 0
2 0 2
1 1 3
2 0 1
1 3 0
2 1 1
3 0 1
1 3 2
1 3 1
2 1 0
10 6
0 0 2
0 0 0
2 1 1
1 0 1
2 0 2
1 2 1
1 1 0
0 0 1
1 0 2
0 1 0
10 4
0 3 3
1 2 2
3 1 0
0 3 1
0 1 2
3 3 1
2 1 3
0 0 1
3 2 2
1 0 1
10 8
2 1 1
0 2 2
3 2 0
3 3 1
0 2 1
0 1 1
1 0 2
2 0 2
3 2 2
2 2 3
10 4
4 3 0
2 2 3
0 0 1
0 3 0
1 4 0
2 0 3
4 1 1
4 0 0
1 1 0
0 3 1
10 8
1 2 2
1 1 1
2 1 2
3 2 1
3 1 3
2 3 2
0 2 2
3 0 2
0 1 1
0 1 3
10 9
1 3 1
0 1 5
2 3 2
0 3 2
5 5 0
0 4 0
3 1 4
5 0 4
4 3 4
2 2 0
10 6
1 2 3
3 1 0
1 2 0
3 0 2
0 0 0
0 3 0
2 1 0
3 0 3
1 1 3
0 3 3
10 4
0 0 0
1 1 0
1 1 2
2 1 0
1 0 0
0 1 2
1 0 1
2 1 2
2 2 2
1 2 2
10 3
0 3 2
0 2 0
2 1 2
3 0 3
2 2 0
0 0 3
2 0 2
3 2 0
1 1 2
2 3 0
10 7
5 2 4
4 3 2
3 4 5
1 1 0
3 4 0
0 4 1
1 5 2
2 2 1
4 3 1
3 1 5
10 7
0 2 3
1 1 1
2 0 3
2 0 0
1 0 1
1 2 0
1 0 3
0 1 3
1 1 2
1 2 2
10 7
1 2 0
4 5 2
2 3 1
4 5 3
1 1 5
3 4 4
5 1 2
1 1 2
0 3 1
2 2 1
10 9
0 3 0
1 2 3
3 1 1
1 1 0
0 0 2
3 3 1
2 3 3
0 2 3
2 3 2
1 1 3
10 8
2 0 2
2 2 3
0 1 2
0 1 0
1 0 2
3 2 1
3 0 3
3 1 1
1 1 0
0 2 1
10 9
3 2 3
1 0 4
4 3 2
2 4 2
2 0 1
2 2 1
3 1 4
2 0 4
4 2 1
3 3 4
10 7
3 2 2
2 1 2
0 2 0
0 3 2
1 2 3
2 0 0
1 0 3
2 2 2
3 2 0
3 3 1
10 2
3 0 1
1 1 3
0 3 0
0 2 3
3 0 2
1 3 2
1 2 2
2 1 1
1 3 3
0 0 3
10 2
2 4 2
0 1 3
3 3 4
5 0 5
4 0 0
4 3 2
3 0 2
1 3 5
5 1 0
3 2 5
10 6
3 2 2
3 1 0
2 0 1
1 3 0
0 0 1
0 3 0
0 2 1
2 3 1
1 0 1
2 3 2
10 3
3 2 1
0 3 2
0 1 4
1 0 4
2 3 1
0 2 1
4 3 4
0 2 0
3 1 3
0 1 1
10 7
0 5 5
4 2 0
1 5 5
1 4 5
0 3 4
2 1 4
2 3 0
4 5 1
3 4 5
2 3 2
10 6
5 5 3
5 2 5
1 1 3
1 1 0
5 0 5
3 0 5
3 3 1
0 5 4
4 0 3
0 0 4
10 5
0 3 1
1 1 2
1 3 2
3 2 3
1 3 0
2 2 1
1 2 0
3 2 1
2 3 2
0 0 1
10 4
1 1 2
0 2 0
1 0 0
0 2 1
0 1 2
2 2 2
2 1 1
1 0 2
2 0 1
0 1 1
10 3
1 2 1
2 1 1
0 2 1
0 1 2
2 1 0
0 1 1
2 2 2
1 2 0
2 2 0
1 0 1
10 9
5 2 4
1 1 2
1 5 3
5 5 2
1 4 2
1 1 3
2 5 2
4 1 4
2 3 3
5 4 0
10 6
1 2 0
2 1 1
2 0 1
1 2 2
0 2 1
0 1 1
2 1 0
0 2 2
2 2 1
1 1 0
10 9
1 2 4
3 2 2
3 2 3
1 2 1
1 4 1
4 3 0
3 4 1
2 1 1
1 2 2
4 0 1
10 8
0 2 1
2 4 1
4 5 5
2 0 4
4 0 2
5 4 5
0 1 2
4 0 1
5 1 5
1 2 0
10 4
3 0 3
3 3 4
1 0 4
0 0 0
1 4 2
0 0 4
4 1 0
4 4 2
1 3 3
3 0 2
10 4
3 0 0
1 2 3
1 1 0
0 1 0
1 3 3
1 1 1
3 3 2
3 3 0
0 0 1
3 1 0
10 7
2 1 1
1 2 3
1 0 1
2 0 1
2 3 2
0 3 3
3 2 0
2 1 3
2 3 1
0 0 3
10 4
2 2 5
3 4 0
4 2 2
0 2 2
5 4 1
4 0 1
1 0 2
5 5 2
0 5 5
2 1 0
10 9
5 2 4
5 2 0
4 5 5
2 4 0
4 1 5
0 0 4
4 2 5
4 2 1
3 3 0
2 2 5
10 2
4 3 3
0 1 2
4 4 4
1 5 1
1 2 5
1 4 5
3 5 2
5 4 2
0 0 2
5 0 0
10 3
2 1 4
1 4 2
4 4 0
1 2 1
4 3 1
1 3 1
3 4 4
0 2 3
4 2 4
3 2 1
10 2
1 3 2
2 2 1
0 1 3
1 1 0
1 0 2
0 0 2
1 0 3
1 2 0
0 2 0
2 0 3
10 7
4 4 0
1 5 4
5 1 3
3 1 3
1 4 0
2 2 3
2 1 1
0 3 4
4 1 0
0 3 3
10 2
2 4 2
4 0 2
0 0 1
4 3 3
4 4 4
1 3 1
3 1 3
1 0 4
4 0 4
4 1 3
10 6
2 1 1
2 2 2
1 0 2
1 2 2
1 1 0
1 0 1
1 0 0
1 2 0
0 0 2
1 1 2
10 8
2 0 2
3 2 1
2 1 0
0 2 0
0 3 0
1 1 3
1 1 1
2 2 0
3 3 0
0 0 0
10 9
3 0 3
3 4 2
4 3 1
4 0 3
1 3 0
2 2 0
1 4 4
3 1 0
4 0 2
4 1 4
10 9
4 4 4
2 0 2
4 5 5
4 0 4
3 3 5
0 2 4
5 3 0
1 4 5
1 5 2
4 3 0
10 2
3 0 3
2 3 2
3 1 2
3 2 1
4 4 2
1 0 3
0 0 2
1 3 3
2 4 3
0 4 1
10 4
0 3 0
1 3 1
0 1 3
1 3 0
2 0 0
3 3 1
3 0 0
2 1 0
3 2 3
3 0 1
10 9
0 0 1
0 3 0
1 1 2
0 1 0
2 1 2
0 3 2
0 2 3
0 0 3
1 3 1
3 1 1
10 7
0 2 3
0 4 3
0 3 3
4 5 1
1 3 3
3 1 4
3 4 2
2 2 1
2 2 3
5 0 2
10 6
2 2 1
2 1 2
1 1 1
0 0 0
1 2 0
0 0 2
2 1 1
0 1 2
0 2 0
0 1 0
10 4
1 3 3
0 3 0
2 2 2
0 2 1
0 3 3
2 1 1
2 3 1
0 1 0
2 1 0
1 2 2
10 6
3 3 1
0 2 2
3 4 0
2 4 4
0 1 0
1 3 3
4 3 2
2 1 2
3 1 4
4 3 3
10 3
1 1 2
1 0 2
0 2 2
0 0 2
1 2 0
2 2 1
2 2 2
1 1 1
1 2 1
1 0 1
10 6
3 2 0
0 1 1
4 1 1
3 4 1
0 0 3
0 2 3
1 2 1
1 4 1
0 0 2
2 4 3
10 7
5 4 3
4 4 0
0 1 1
5 0 0
3 5 2
0 0 4
0 1 4
4 0 4
4 0 5
2 5 0
10 4
1 1 1
2 1 0
0 1 2
2 2 0
1 2 1
2 1 1
1 0 1
1 0 2
0 0 2
1 2 2
10 3
2 4 5
4 3 5
3 0 5
3 5 5
3 4 0
5 3 0
5 2 3
4 1 2
5 5 3
1 1 3
10 3
2 0 0
0 2 1
2 0 2
4 4 2
3 4 1
4 2 1
3 3 2
1 3 0
3 0 1
1 0 1
10 7
1 1 0
2 0 2
1 0 0
1 0 1
2 2 1
0 0 0
1 1 1
2 0 0
0 0 1
2 2 2
10 2
1 1 0
0 1 0
1 0 3
3 2 1
3 1 1
0 3 0
3 0 1
0 0 1
2 0 1
2 1 0
10 5
2 1 2
1 2 0
2 0 2
0 1 0
0 1 2
0 2 0
2 1 0
1 2 2
2 0 0
2 0 1
10 7
2 0 3
0 3 1
3 3 3
1 2 0
3 3 2
2 1 2
1 1 1
2 2 2
1 3 3
3 3 0
10 7
1 4 1
4 2 0
0 1 2
2 1 3
3 0 1
1 0 1
3 0 2
3 3 3
1 0 0
2 4 0
10 9
2 3 3
4 2 3
2 2 4
0 0 4
0 4 0
0 0 1
4 4 2
0 1 0
4 2 2
2 0 4
10 7
1 4 2
4 1 1
4 2 3
3 4 1
4 4 1
1 2 3
0 3 0
0 2 0
4 2 0
0 3 3
10 2
2 1 2
0 0 1
2 3 2
1 0 1
3 3 2
2 0 2
2 2 3
1 1 3
1 1 1
0 3 2
10 4
3 0 4
5 3 0
0 3 4
2 5 0
2 2 1
3 2 3
4 0 4
1 2 1
1 5 3
5 3 5
10 9
3 2 0
2 2 3
0 3 0
2 2 2
3 1 0
3 3 2
1 0 1
3 2 1
0 0 1
0 0 2
10 6
4 3 1
0 4 4
5 1 5
5 5 4
5 3 5
5 0 2
1 3 1
3 4 0
3 2 3
0 5 3
10 3
0 1 2
1 0 0
2 1 1
0 2 0
2 2 1
0 2 2
0 2 1
1 2 2
1 1 1
2 2 0
10 7
0 1 1
1 2 1
1 0 0
1 1 2
0 0 2
1 2 0
0 1 0
0 0 1
0 1 2
1 2 2
10 7
2 2 2
1 2 1
0 2 1
0 2 0
0 1 1
1 1 0
2 1 0
0 0 2
2 0 1
1 0 2
10 6
2 3 1
2 1 3
3 3 3
1 3 2
1 2 2
0 1 3
1 0 3
3 1 1
2 2 1
1 1 2
10 6
1 0 3
1 1 2
1 3 3
2 0 1
0 3 2
2 1 1
3 1 0
3 3 2
1 1 3
0 3 1
10 5
1 0 5
1 0 2
3 3 5
3 1 1
4 1 4
4 5 1
4 3 3
1 3 0
0 0 0
3 1 2
10 3
1 0 1
2 1 0
1 1 0
2 2 0
1 0 2
0 1 0
1 0 0
2 0 2
0 2 2
1 2 0
10 4
1 1 0
1 0 0
1 2 0
1 0 2
2 1 1
0 0 2
0 1 2
2 1 0
0 0 1
2 2 1
10 4
1 0 2
1 1 1
1 2 0
3 0 4
3 1 0
1 5 5
4 0 2
5 4 0
5 2 0
3 2 5
10 4
1 2 0
1 3 4
1 4 2
3 4 3
4 4 3
0 3 2
3 1 4
4 2 1
0 3 3
0 1 4
10 5
1 2 1
2 0 0
1 1 1
0 0 2
2 1 2
3 3 0
1 3 1
3 1 1
3 1 3
3 0 0
10 6
3 0 3
4 0 4
0 4 5
3 1 1
5 5 4
1 4 1
0 0 4
3 3 1
1 1 4
4 2 3
10 6
2 3 2
1 1 1
2 2 2
1 0 3
1 1 0
3 0 1
2 2 3
1 2 2
1 3 0
2 1 3
10 8
0 0 0
4 0 2
3 2 0
2 2 3
2 4 0
2 3 3
2 4 2
3 4 2
4 3 2
3 4 1
10 5
2 5 3
2 4 5
1 4 1
0 3 4
5 2 1
3 4 2
1 1 3
5 2 5
1 2 3
0 5 2
10 9
0 1 0
1 2 0
2 2 2
2 0 0
1 0 2
2 0 2
0 1 1
2 2 0
0 2 0
2 1 2
10 9
2 0 3
3 2 0
1 2 4
4 3 1
1 0 0
0 3 1
1 1 2
4 3 4
4 2 4
0 4 1
10 7
0 3 2
1 2 3
0 0 1
3 0 0
2 2 2
3 2 0
1 0 1
1 2 1
3 1 3
3 2 1
10 5
2 0 2
0 2 2
0 2 1
1 0 1
1 1 2
1 2 0
2 2 2
1 1 1
2 1 2
1 0 2
10 9
2 4 3
2 5 1
0 1 1
0 1 0
2 2 0
2 3 1
4 1 1
5 5 4
5 4 0
4 4 0
10 5
1 2 2
3 3 2
1 3 3
3 0 1
3 2 2
2 1 3
1 1 0
0 1 2
3 0 0
1 3 0
10 2
3 2 1
4 2 3
0 3 4
2 2 0
1 2 2
2 3 0
0 2 0
2 4 2
2 0 0
0 1 1
10 8
1 1 3
1 1 5
3 2 4
0 0 2
4 1 0
4 4 5
5 2 4
0 1 3
4 1 1
3 3 0
10 4
3 3 1
1 2 3
2 1 1
3 0 1
1 3 0
1 1 0
3 2 0
3 0 3
1 0 3
1 0 1
10 6
0 3 0
2 3 3
1 3 1
1 3 2
3 1 3
2 3 2
3 0 2
3 1 2
1 0 2
1 1 2
10 9
3 1 2
1 2 1
0 1 3
3 1 0
3 3 3
2 1 2
1 3 2
0 0 3
2 0 1
1 2 0
10 2
0 2 0
1 2 1
1 1 2
1 0 2
1 0 0
2 1 1
0 1 0
2 2 1
1 1 0
0 1 1
10 4
2 1 1
4 4 1
2 2 4
4 1 3
4 0 0
3 2 2
0 1 0
4 0 4
3 3 0
4 3 1
10 3
3 3 4
1 5 2
3 3 5
0 3 4
4 4 4
2 2 4
4 0 1
2 2 5
5 1 0
4 1 0
10 8
1 0 1
2 0 2
0 0 0
1 0 0
2 0 0
0 0 2
0 1 0
2 1 1
1 2 2
2 2 0
10 2
2 4 3
1 0 1
0 3 3
2 1 0
1 1 1
4 1 1
3 1 4
1 1 0
1 4 3
3 2 1
10 2
5 5 3
0 1 5
2 5 1
3 2 2
2 0 3
1 3 2
5 0 1
4 0 2
2 4 4
0 4 1
10 2
5 5 5
0 2 4
1 0 0
5 4 4
1 4 1
4 2 2
5 0 4
1 3 0
4 3 0
4 4 1
10 6
2 2 1
5 0 5
4 1 4
3 2 3
4 4 5
1 3 5
1 5 4
0 2 5
0 0 1
5 4 3
10 3
0 1 1
0 0 2
0 1 0
1 2 2
0 1 2
1 1 2
0 2 1
2 1 0
2 0 2
1 1 0
10 7
0 2 0
1 1 3
0 0 2
2 3 0
0 3 0
3 1 1
2 2 3
2 1 2
1 1 1
0 3 3
10 9
1 0 2
1 3 4
0 4 1
1 0 1
4 3 2
1 2 4
1 3 3
4 4 3
0 3 3
1 4 0
10 4
5 1 2
5 5 5
5 2 2
3 5 3
4 0 2
1 4 3
3 1 3
3 2 3
0 1 4
1 5 0
10 2
3 3 4
4 2 2
2 1 4
1 0 5
5 5 3
4 5 4
3 4 0
3 1 3
4 4 2
2 3 5
10 3
4 3 0
3 2 4
5 4 3
0 3 2
5 3 5
5 3 0
5 1 3
5 4 0
2 3 4
2 2 3
10 9
2 5 4
1 0 1
0 1 5
5 0 3
0 2 4
4 3 4
0 3 4
4 0 5
5 1 2
2 5 1
10 7
0 1 0
2 1 0
2 2 2
1 2 1
0 2 1
0 0 2
2 1 1
1 2 2
1 2 0
2 0 2
10 8
3 3 1
3 0 1
0 0 0
1 4 3
0 3 1
3 1 3
4 4 2
3 2 0
0 1 0
0 0 3
10 3
1 2 0
1 2 1
0 0 1
2 2 0
1 1 0
0 1 2
2 0 2
0 2 1
0 2 2
0 0 0
10 2
4 1 3
1 1 2
2 1 2
4 4 0
3 1 2
1 1 4
0 4 4
2 4 1
4 4 3
3 3 3
10 6
1 2 1
0 2 1
2 0 2
2 2 2
0 2 2
1 1 2
1 0 0
0 0 2
1 0 2
1 2 0
10 3
1 0 3
3 3 1
0 1 0
1 3 2
0 0 3
1 2 3
0 2 0
1 2 0
1 3 0
2 0 1
10 2
2 0 0
0 1 0
0 2 2
0 1 2
1 2 1
1 1 2
1 0 2
1 2 0
0 0 1
2 0 2
10 2
0 2 0
2 2 0
0 2 1
1 0 1
1 2 0
2 1 1
0 0 1
1 2 1
0 1 2
1 2 2
10 2
1 1 1
0 1 2
0 1 0
2 1 0
0 2 1
0 2 2
0 2 0
0 0 0
2 2 0
2 1 1
10 3
4 1 2
4 4 2
2 4 4
0 3 4
4 3 4
1 1 4
2 3 1
3 4 2
2 0 2
1 1 2
10 2
2 3 2
3 2 2
1 2 0
2 1 1
2 2 3
0 3 2
2 0 2
3 3 0
2 0 0
0 0 0
10 5
3 4 3
1 0 5
5 3 3
3 0 4
3 0 5
1 2 2
2 3 5
0 4 0
3 2 2
2 3 2
10 8
2 5 5
5 2 5
4 3 0
3 0 3
1 0 1
4 2 0
5 2 2
2 2 4
2 1 2
5 4 5
10 5
1 3 3
3 1 3
1 1 1
1 0 2
2 2 3
3 3 3
1 2 0
3 2 1
2 3 3
1 3 2
10 8
1 1 1
1 1 2
1 1 0
1 0 2
1 0 1
0 2 1
1 2 0
2 0 0
2 2 0
2 1 0
10 5
1 0 3
0 3 1
1 3 1
0 1 3
0 2 1
1 1 1
1 2 0
2 3 1
1 2 2
1 3 0
10 6
4 5 2
3 2 2
1 4 1
4 4 5
3 4 4
5 1 1
0 2 0
2 0 5
3 5 3
3 3 4
10 9
0 0 4
0 0 3
3 1 4
1 0 2
2 0 3
4 1 2
2 2 0
4 1 0
2 2 4
2 3 2
10 5
0 0 2
0 3 3
1 1 0
3 2 0
2 1 1
1 2 0
0 2 2
3 1 0
3 2 1
1 3 2
10 4
3 3 0
3 0 4
1 3 2
0 0 1
1 0 3
1 3 3
0 0 4
1 0 1
3 0 2
4 0 2
10 5
0 1 2
2 2 1
1 1 2
0 1 1
1 2 2
0 0 1
2 0 0
1 0 0
1 2 0
0 2 2
10 7
1 1 0
1 1 2
3 2 1
3 0 3
3 3 2
2 3 2
2 2 3
0 1 1
0 1 0
2 1 3
10 4
3 4 4
1 2 2
4 3 3
4 2 2
2 1 1
4 2 3
3 2 2
3 4 2
2 2 1
0 0 4
10 7
4 4 4
2 4 1
4 4 3
1 4 1
2 0 0
4 1 0
4 2 2
0 0 0
1 2 2
3 4 4
10 9
0 2 2
2 4 2
2 0 3
1 3 4
0 1 4
2 1 3
0 3 4
4 2 4
3 0 3
4 0 2
10 5
1 0 1
1 2 1
0 0 2
1 1 0
0 0 0
2 1 0
2 1 1
0 2 0
1 2 2
1 1 2
10 4
0 3 0
4 2 3
4 3 0
0 4 0
1 0 0
3 0 0
3 4 0
2 3 3
0 0 3
1 0 3
10 7
5 0 0
2 2 1
4 5 4
0 5 3
4 3 4
0 2 0
2 1 4
1 5 4
0 5 1
2 0 1
10 9
1 3 4
0 0 3
0 0 4
2 0 3
3 0 1
1 1 2
0 1 1
1 2 0
0 4 2
2 0 2
10 9
0 2 1
0 1 3
2 0 1
3 0 3
2 0 3
2 1 1
1 3 0
3 2 2
3 2 1
1 2 1
10 6
1 1 3
3 2 3
2 0 4
2 3 1
1 1 1
0 4 0
0 2 3
1 2 3
0 0 4
0 3 0
10 6
1 3 0
3 3 1
3 4 1
2 1 4
4 1 4
2 0 0
1 1 4
2 4 0
3 2 1
2 1 3
10 4
3 3 0
4 2 2
1 2 0
3 0 2
0 3 2
1 4 1
1 1 1
2 4 3
0 2 2
1 4 3
10 8
1 0 3
5 3 3
0 1 1
2 0 2
0 3 4
5 5 4
1 1 2
3 3 5
2 5 0
3 2 0
10 3
2 2 1
5 5 4
3 3 2
1 1 5
1 3 3
3 1 3
2 2 2
0 3 2
3 5 5
0 5 1
10 5
2 0 0
1 1 1
2 0 1
2 2 2
2 1 2
1 2 1
0 1 0
1 2 0
2 0 2
1 1 2
10 3
4 2 3
4 4 4
3 2 4
3 2 2
3 1 1
1 1 0
1 3 2
1 1 4
2 1 4
4 0 3
10 3
1 0 2
3 0 4
5 5 1
1 3 5
0 4 3
2 5 3
1 1 5
2 3 1
2 1 1
3 4 3
10 2
4 3 2
3 1 2
1 4 0
4 1 3
2 0 4
2 3 1
0 1 2
0 3 2
3 4 0
2 2 1
10 7
4 2 4
1 4 0
1 3 4
2 1 2
3 0 1
4 3 0
3 4 4
3 1 1
3 3 4
1 0 1
10 7
4 0 4
1 4 0
3 3 1
2 4 3
0 3 2
2 0 4
0 2 2
0 4 2
0 0 2
1 2 3
10 4
0 0 2
2 2 0
0 0 1
0 2 2
1 0 2
2 0 2
1 2 1
2 2 2
1 0 1
2 2 1
10 6
2 1 0
2 1 2
0 1 1
2 2 0
0 2 0
1 2 0
2 1 1
1 1 0
2 0 2
2 0 0
10 8
4 2 4
0 1 1
4 0 2
1 2 4
4 2 2
2 2 3
2 4 3
1 0 2
3 0 1
1 4 3
10 3
3 1 1
2 2 3
1 1 1
0 0 0
0 3 1
1 0 3
2 3 2
3 2 3
1 3 2
2 2 2
10 6
0 4 4
3 4 2
2 4 0
2 2 0
4 3 1
4 2 0
1 1 3
1 2 4
1 0 2
0 1 0
10 8
1 3 2
3 1 2
2 2 0
3 2 0
3 0 2
1 2 1
2 1 3
3 3 0
0 1 1
3 3 3
10 9
3 2 0
0 3 3
1 0 2
0 1 1
1 3 2
2 0 0
2 3 3
3 0 2
2 2 1
0 1 0
10 4
5 3 5
3 3 0
0 2 1
0 5 2
2 4 4
1 2 5
2 2 1
0 5 0
1 4 0
0 1 3
10 8
1 1 4
0 1 1
0 2 0
4 3 0
3 2 1
3 1 3
0 0 1
1 3 1
1 1 0
1 1 3
10 2
2 0 0
3 4 5
5 5 5
4 3 4
3 5 0
5 3 1
3 2 5
5 2 1
3 5 2
1 0 3
10 6
0 4 2
2 4 3
0 4 4
4 2 0
1 1 0
0 3 2
0 0 0
0 0 3
4 0 4
0 3 4
10 7
2 2 0
1 0 1
3 0 3
3 1 1
2 3 1
1 2 1
0 2 0
0 3 2
3 2 0
3 2 3
10 6
2 0 0
1 2 2
2 2 2
2 1 0
1 0 1
0 0 0
1 1 1
1 1 0
2 2 1
0 1 0
10 5
2 0 1
1 1 2
1 2 2
2 1 0
0 1 0
0 0 0
1 2 0
2 1 2
2 0 0
1 2 1
10 7
0 2 3
2 0 3
1 2 3
2 3 1
3 1 1
0 0 0
1 0 0
0 3 2
1 0 2
3 1 2
10 6
2 1 0
2 1 1
1 1 1
1 1 2
1 1 0
1 0 0
0 2 2
0 1 1
2 1 2
1 0 2
10 6
0 0 0
0 2 1
0 2 2
2 2 0
2 1 0
2 1 1
1 2 1
1 0 2
0 1 2
1 1 0
10 7
2 0 2
2 2 1
1 0 3
2 3 1
4 2 2
0 3 1
3 4 4
3 4 3
0 4 0
3 2 0
10 7
0 0 3
3 3 5
2 5 5
3 2 1
5 2 2
0 2 4
4 2 0
0 4 3
4 5 0
3 4 3
10 3
1 2 2
5 5 4
0 3 0
0 0 0
5 1 3
0 1 4
0 2 5
2 3 4
3 4 0
4 3 0
10 8
1 1 4
5 4 1
2 4 0
1 4 0
4 5 2
5 4 0
0 5 2
3 3 4
4 0 2
4 2 4
10 2
2 2 1
0 1 0
1 2 0
3 2 2
1 3 2
3 1 1
1 0 1
2 1 1
2 0 2
3 1 3
10 8
0 1 2
0 0 1
2 1 0
0 1 1
1 1 1
1 2 1
1 2 0
2 2 2
1 0 2
2 0 1
10 2
0 2 3
1 2 2
1 3 3
2 2 0
3 3 0
2 3 0
0 3 3
0 0 1
3 0 0
0 2 2
10 7
4 0 4
2 2 4
2 4 3
1 4 4
1 4 3
0 0 2
2 3 0
2 2 0
3 1 2
0 0 4
10 7
3 3 3
2 0 1
3 0 0
3 1 3
3 0 1
0 0 3
3 3 0
3 2 3
0 1 2
0 2 1
10 6
0 3 3
0 2 2
3 0 3
1 3 2
3 3 0
2 0 3
2 3 2
0 1 0
2 1 0
2 0 1
10 4
4 5 4
5 4 3
1 5 1
3 5 2
4 0 5
2 3 4
3 2 4
5 0 4
0 1 1
3 3 5
10 2
2 3 0
1 0 0
3 2 2
1 0 1
0 3 2
2 1 2
1 1 3
1 1 2
2 2 2
3 2 3
10 2
2 0 2
2 2 0
1 2 1
1 2 2
1 1 1
2 2 2
2 1 0
1 0 0
0 2 2
1 2 0
10 5
0 1 0
2 2 0
2 3 0
3 0 3
2 0 1
0 1 1
1 3 0
3 2 3
2 1 1
0 3 0
10 2
2 2 2
0 2 2
4 0 1
3 3 4
1 3 1
0 0 2
0 1 3
3 0 2
1 4 3
0 1 1
10 9
3 2 0
3 1 0
3 0 3
0 2 1
0 3 1
2 1 1
1 2 2
3 0 2
0 2 2
2 3 3
10 5
0 1 0
3 2 3
2 1 2
2 3 1
3 1 2
3 0 2
1 3 1
3 0 0
1 0 3
2 3 0
10 4
1 1 3
2 0 4
2 1 1
3 0 4
4 4 1
4 1 2
3 2 0
3 4 1
2 1 2
4 1 4
10 2
1 1 2
1 1 1
2 2 0
1 0 0
0 2 0
0 1 1
0 1 2
1 2 0
1 0 2
2 2 1
10 7
0 0 2
2 0 2
0 0 1
2 2 2
2 1 1
2 2 0
2 0 0
1 1 2
0 1 1
1 0 2
10 9
0 1 3
3 4 3
0 4 4
1 4 4
0 5 0
1 5 1
1 0 4
2 3 4
0 0 2
3 4 2
10 8
3 3 3
0 3 2
0 1 2
4 3 2
4 4 1
4 2 1
1 3 2
4 0 4
1 3 3
2 3 3
10 9
1 2 1
0 1 2
2 0 2
2 2 2
2 0 0
1 1 2
0 1 1
1 0 2
1 1 0
1 2 2
10 4
1 1 1
0 2 0
0 2 2
1 0 0
2 0 2
0 0 0
1 2 2
2 1 0
1 2 0
0 1 0
10 2
2 2 1
3 1 3
4 4 0
1 3 0
0 3 4
3 4 4
2 3 2
3 3 1
1 2 1
0 0 0
10 8
0 3 5
0 2 0
4 3 2
3 5 1
2 5 5
3 1 1
1 3 3
0 1 3
3 0 0
3 0 2
10 3
1 0 3
2 4 4
2 2 0
1 5 5
5 0 5
0 4 0
0 5 1
2 4 3
3 5 1
0 1 3
10 2
1 2 1
0 0 0
1 1 2
2 0 0
2 2 2
0 0 1
0 2 2
2 1 1
2 2 1
2 0 1
10 7
2 1 2
2 3 0
1 2 0
0 1 2
3 0 3
0 2 3
2 0 3
1 2 2
0 0 1
1 0 0
10 8
2 0 1
0 2 3
4 1 1
1 0 4
1 4 4
1 3 3
1 3 1
2 0 0
2 2 4
0 3 0
10 4
2 1 0
0 1 1
1 2 2
1 2 1
2 2 2
0 2 1
3 3 2
2 0 3
3 2 3
0 0 3
10 2
4 3 4
0 4 4
0 1 0
0 3 4
4 0 3
3 4 0
2 1 4
1 3 3
3 1 4
2 3 3
10 7
0 4 5
1 5 4
3 5 5
2 4 4
4 2 4
0 0 3
5 2 3
0 0 4
3 3 1
2 5 2
10 3
0 1 2
1 0 1
1 0 0
2 0 2
2 0 0
1 2 2
2 2 0
1 0 2
0 2 2
0 0 1
10 3
3 0 3
2 1 3
1 1 0
2 3 2
0 2 0
3 0 1
2 0 2
0 3 1
1 3 3
3 3 3
10 3
0 1 2
0 0 1
0 0 2
1 2 0
1 1 0
1 0 1
2 0 0
1 0 0
2 2 2
2 2 1
10 7
0 0 1
0 2 1
2 2 1
2 1 0
0 0 0
1 0 2
0 2 2
1 2 2
1 0 1
1 1 1
10 5
3 1 4
1 2 3
1 0 3
0 2 3
1 1 3
2 4 3
0 3 4
4 3 1
4 2 0
0 0 0
10 4
2 5 0
5 0 1
0 0 0
2 0 5
4 4 3
3 5 0
4 0 4
2 3 5
5 4 1
4 4 2
10 5
2 0 0
2 1 2
0 0 1
0 2 2
2 0 1
1 2 0
1 0 1
1 2 1
0 0 2
0 2 1
10 5
0 0 2
2 4 5
2 1 4
1 4 5
3 1 4
0 4 3
0 0 5
3 4 5
3 5 2
3 1 1
10 9
4 1 0
4 1 1
0 3 0
1 0 4
3 5 4
2 1 3
5 1 5
4 1 4
5 5 4
2 0 0
10 3
3 2 4
2 3 4
2 2 1
3 4 2
4 4 0
0 2 4
4 1 1
3 4 0
1 4 0
4 3 0
10 6
3 4 4
2 1 4
3 4 0
2 3 1
3 0 3
3 0 2
2 4 3
1 4 1
1 3 4
3 2 3
10 8
0 2 3
1 4 3
3 1 4
0 0 2
1 4 4
3 0 2
2 4 0
0 4 3
3 3 1
3 4 1
10 7
0 2 2
2 2 0
0 0 1
2 2 1
0 0 2
1 0 0
2 0 1
0 1 1
0 0 0
0 1 2
10 5
1 0 2
2 0 1
1 2 0
1 0 1
1 2 2
2 0 2
0 2 2
0 0 1
0 0 0
2 0 0
10 5
4 2 0
1 2 2
1 1 4
2 2 2
3 4 0
4 3 0
4 2 4
0 4 1
3 4 4
1 0 2
10 3
0 1 5
4 5 2
4 1 0
2 1 0
1 1 1
2 5 5
5 2 4
3 0 3
4 3 2
1 1 5
10 3
1 0 0
0 1 3
1 1 1
0 3 3
3 3 1
0 0 2
1 3 3
0 0 1
2 0 0
1 0 3
10 5
2 1 0
2 2 2
2 1 2
2 2 0
0 2 0
0 1 2
1 1 0
0 1 1
0 0 2
1 2 1
10 9
0 2 1
1 2 0
0 2 2
0 1 2
2 0 0
2 2 2
2 1 1
2 1 2
0 0 0
0 1 1
10 3
1 0 3
3 1 3
1 3 0
0 0 3
0 2 0
0 1 3
2 1 2
3 1 1
2 2 1
2 3 0
10 2
1 2 3
2 3 5
0 1 5
5 3 5
0 2 0
1 1 4
0 5 2
4 4 1
5 5 3
5 0 4
10 8
2 1 2
2 0 2
2 1 0
1 0 2
2 2 2
0 2 2
0 0 2
0 2 0
1 1 0
2 2 0
10 5
0 2 2
2 2 2
2 0 0
0 0 2
2 0 1
1 1 0
1 2 1
1 1 2
0 0 1
0 1 1
10 7
0 4 3
2 1 3
1 3 3
1 0 2
4 3 1
5 4 1
2 5 3
3 2 1
1 3 1
1 4 0
10 2
3 4 0
0 2 5
2 1 2
3 1 5
4 2 1
5 0 4
2 3 4
3 4 5
1 4 3
5 2 1
10 6
2 3 1
0 0 3
0 1 2
2 3 3
0 2 1
2 2 2
3 0 0
1 2 1
0 1 0
3 2 2
10 8
2 1 0
0 0 2
1 1 1
2 1 1
1 1 0
2 2 0
1 0 0
1 0 1
0 2 1
2 0 2
10 5
5 0 0
1 4 5
1 5 5
5 4 1
5 5 3
4 5 3
1 4 1
3 3 2
3 0 3
3 2 3
10 4
0 1 0
2 2 2
1 0 1
2 0 0
2 2 1
1 2 1
2 0 2
0 2 2
0 0 0
2 1 1
10 4
0 0 3
2 2 0
2 3 2
1 3 0
3 0 1
0 4 4
2 4 1
1 0 0
1 1 0
4 3 0
10 7
0 5 0
2 1 5
5 1 3
5 0 4
3 1 0
5 4 4
4 5 5
1 4 5
4 1 5
3 3 0
10 6
3 3 1
3 0 1
0 0 3
3 2 0
1 2 0
3 0 0
2 2 3
3 3 3
3 1 3
0 3 0
10 5
2 1 2
3 0 2
1 3 1
1 3 0
3 0 3
0 3 1
1 1 2
2 1 1
0 0 2
3 1 0
10 8
2 1 1
1 4 4
0 2 3
1 1 0
3 2 4
2 1 0
4 0 2
3 2 3
0 2 0
3 4 0
10 4
0 2 0
0 0 2
0 1 2
1 0 0
2 2 1
2 1 0
0 1 1
0 0 1
1 1 0
1 1 2
10 6
4 4 2
3 1 0
4 2 0
0 3 0
2 2 1
2 3 0
1 0 0
1 1 4
4 2 4
0 2 1
10 3
1 0 2
1 0 1
1 1 2
2 0 0
0 1 2
2 0 2
2 1 2
0 0 2
1 1 0
2 1 0
10 6
5 5 3
2 0 0
4 1 3
3 5 4
5 2 2
1 3 1
1 4 4
0 2 2
3 5 5
2 5 3
10 7
1 0 2
5 5 3
4 3 0
4 1 5
2 5 5
4 1 2
4 4 0
1 3 4
3 2 5
4 3 1
10 6
0 2 1
1 0 0
2 1 2
0 2 0
0 0 2
2 2 2
0 1 1
1 1 1
2 0 1
2 2 0
10 8
0 0 4
3 2 4
2 2 0
2 1 3
1 1 1
2 3 1
1 1 3
0 1 2
2 4 0
3 1 2
10 9
2 2 2
0 2 2
1 1 2
0 0 2
2 0 2
1 2 2
2 1 2
0 0 0
0 1 2
2 0 0
10 9
3 0 2
0 1 1
1 0 0
4 4 2
3 3 0
2 0 2
3 4 3
4 2 2
2 2 3
3 3 3
10 7
4 0 0
5 1 5
1 1 3
4 4 1
2 2 4
0 1 3
2 5 0
5 1 0
2 5 3
4 1 3
10 3
1 3 0
5 3 2
5 4 1
4 4 5
5 4 2
5 5 2
3 3 1
4 0 1
0 2 1
2 5 0
10 7
2 3 3
0 2 0
2 0 1
0 0 0
3 2 1
2 3 1
3 3 2
2 1 0
3 0 3
2 2 0
10 5
0 0 1
1 1 4
3 1 0
2 2 0
2 4 1
2 2 3
1 1 3
2 0 3
3 0 2
4 4 3
10 9
2 3 4
0 3 3
0 1 3
0 1 0
1 1 0
3 2 3
3 4 1
2 3 3
2 4 3
0 4 0
10 8
4 5 0
3 3 3
1 3 0
5 0 3
3 1 5
2 0 1
1 3 2
0 2 3
0 2 0
2 2 0
10 9
0 2 0
2 3 2
3 1 1
0 0 2
2 0 1
2 1 1
0 1 1
1 0 2
2 2 1
1 3 2
10 4
0 3 2
3 1 2
0 1 3
0 2 0
1 1 3
2 1 1
0 2 2
2 0 3
1 2 1
3 0 3
10 6
4 1 4
1 1 3
3 4 0
1 0 4
3 3 3
0 3 0
0 2 3
3 0 4
0 3 3
2 1 4
10 9
4 4 1
1 4 1
4 3 3
0 0 0
2 4 3
0 0 1
1 0 2
1 2 3
2 1 4
1 1 3
10 9
2 1 2
2 2 2
0 0 0
0 2 0
0 1 1
1 0 2
1 1 0
1 1 1
0 1 2
1 0 1
10 4
5 5 2
4 0 1
2 5 4
1 3 0
2 3 5
4 1 1
4 2 2
5 3 0
4 2 4
4 0 0
10 7
4 3 0
0 2 3
4 4 1
1 2 0
3 1 4
0 0 4
3 3 0
2 0 0
1 4 3
0 3 2
10 7
2 2 0
1 0 2
0 3 0
0 2 0
0 1 3
1 3 3
0 2 1
2 1 2
2 3 1
3 2 0
10 2
3 0 0
2 1 1
0 0 0
0 3 1
2 3 1
0 2 1
3 2 0
0 1 1
0 3 2
1 0 1
10 7
2 2 3
2 0 1
0 3 3
3 0 0
1 3 1
1 3 0
0 3 1
0 1 0
1 2 1
2 2 1
10 6
3 4 3
4 1 2
0 0 2
1 2 1
0 3 4
4 2 1
1 1 0
4 4 1
0 1 0
2 2 4
10 9
0 0 2
1 1 2
2 1 2
2 2 1
1 2 1
1 0 2
0 2 0
2 0 2
0 2 1
1 0 0
10 6
3 1 1
1 2 3
2 3 1
1 3 3
2 0 3
3 0 2
3 0 0
1 0 1
2 3 3
3 3 1
10 4
1 1 3
3 1 3
0 2 2
2 1 0
1 0 2
0 1 1
0 1 0
3 2 0
3 3 1
0 2 3
10 9
1 1 1
2 1 2
1 1 0
2 0 2
0 2 1
1 0 2
0 1 1
1 1 2
1 0 0
2 2 0
10 8
5 3 4
4 0 3
5 2 3
2 4 1
1 3 0
0 1 5
4 2 0
2 4 5
0 2 0
4 2 3
10 6
1 2 2
4 4 4
1 1 2
2 4 0
4 0 4
2 2 0
4 2 0
3 4 1
4 0 1
4 1 1
10 9
1 0 1
2 1 2
2 1 1
0 2 2
1 3 2
0 2 3
4 1 3
4 4 3
3 1 1
3 3 3
10 9
1 2 1
1 0 0
1 2 0
0 2 0
0 1 1
2 1 1
0 2 1
2 2 0
2 1 0
1 0 2
10 4
2 3 3
4 3 0
2 3 4
3 0 0
0 4 4
1 1 3
2 1 0
2 2 1
1 1 0
2 3 1
10 4
3 1 2
2 1 3
1 2 2
0 0 3
1 1 0
3 3 0
3 2 3
3 3 2
1 2 3
2 0 0
10 4
1 2 2
0 0 0
1 2 0
1 1 1
1 1 2
2 0 2
0 1 1
1 1 0
2 0 0
1 0 0
10 3
0 1 2
3 3 0
2 3 3
1 3 1
2 2 2
1 2 0
0 3 0
3 1 3
1 1 2
2 0 3
10 7
0 5 4
1 1 2
1 0 1
2 1 1
0 4 0
0 4 5
1 4 0
1 2 1
2 3 2
0 0 1
10 4
5 2 4
0 5 2
4 4 4
1 4 0
0 3 5
2 1 0
1 3 1
4 5 5
5 1 3
3 3 4
10 3
3 0 4
4 0 1
4 4 2
4 3 0
0 4 2
2 0 1
1 3 3
2 1 2
0 0 3
1 1 4
10 4
1 3 1
0 0 2
3 0 3
0 2 2
3 3 0
0 2 0
0 2 1
3 3 2
2 0 1
1 3 3
10 6
1 0 1
0 2 2
1 2 1
2 2 2
1 1 0
3 2 2
3 1 0
2 2 3
0 2 3
0 3 3
10 9
0 0 3
2 2 2
0 3 2
3 0 1
2 0 3
2 0 0
0 2 3
1 0 1
3 1 1
3 2 0
10 8
0 0 3
4 3 0
1 0 0
2 4 2
3 1 3
4 3 4
3 3 3
0 0 0
2 0 2
2 1 4
10 6
4 3 1
4 1 2
0 0 0
0 0 4
2 5 0
5 2 3
4 2 5
3 3 3
2 0 3
2 1 2
10 8
3 1 2
1 3 3
0 2 0
1 1 1
1 2 1
0 3 2
0 2 3
2 1 1
1 0 1
0 2 2
10 2
3 0 0
3 0 1
0 2 0
0 2 1
0 3 2
3 3 2
2 3 2
3 3 0
1 1 2
3 1 3
10 6
1 4 0
1 0 0
4 0 3
1 2 3
2 2 1
0 3 2
0 1 1
4 2 1
0 4 0
2 3 3
10 4
1 4 1
0 2 4
4 1 3
4 4 0
3 3 3
0 4 1
3 0 2
2 2 1
0 1 1
3 4 2
10 2
4 0 3
0 4 3
1 1 2
5 4 2
4 2 4
5 3 2
0 0 1
1 5 0
3 4 5
2 1 3
10 7
0 1 3
1 5 4
5 3 3
0 4 2
2 2 4
2 3 2
5 1 0
2 5 5
2 3 0
5 4 3
10 7
0 0 1
1 2 2
2 0 2
1 0 1
0 1 1
2 1 0
1 0 2
1 1 0
0 2 1
0 2 2
10 6
3 2 4
2 0 4
5 2 1
3 4 4
1 3 3
5 4 5
3 2 3
0 4 0
0 5 1
1 5 4
10 2
0 1 1
1 2 1
0 0 1
2 2 2
1 1 2
0 2 1
2 2 1
1 0 2
2 1 1
0 2 2
10 9
1 4 5
2 2 0
1 3 2
3 0 5
5 1 0
0 1 4
3 0 4
2 2 4
2 0 0
4 4 5
10 8
0 0 3
2 3 0
0 2 2
0 1 2
2 2 1
2 3 3
0 0 0
3 1 1
3 0 0
0 3 3
10 7
2 1 0
2 2 3
0 2 3
0 3 0
1 3 2
1 0 3
2 0 2
3 3 1
2 2 2
1 2 3
10 6
3 4 4
1 0 3
4 1 0
3 0 3
0 3 2
2 4 4
1 3 1
3 3 2
2 2 1
4 2 3
10 8
1 0 1
2 1 2
1 0 0
2 2 1
1 0 2
0 2 1
0 1 2
0 0 1
2 2 2
1 2 1
10 8
2 0 3
4 3 4
2 4 4
1 0 3
1 1 3
1 1 4
1 1 1
4 3 0
3 3 3
4 0 3
10 3
2 3 2
3 1 2
2 2 3
0 0 0
0 3 1
2 2 2
1 2 3
1 0 1
1 3 3
0 1 2
10 5
3 4 2
0 4 1
3 0 3
0 2 1
0 4 2
3 4 1
1 4 3
1 0 4
3 2 2
1 2 3
10 7
3 1 2
0 2 1
0 3 3
1 1 2
1 3 3
0 0 0
0 1 0
3 1 3
3 0 2
2 1 1
10 6
4 0 3
3 0 2
3 4 1
2 4 1
0 4 2
1 2 4
2 0 3
2 4 0
3 4 3
0 3 3
10 9
2 1 0
2 0 1
1 0 2
0 0 1
2 2 1
2 0 0
0 0 2
0 1 0
1 2 0
2 0 2
10 8
0 5 0
3 2 5
5 5 2
2 5 3
5 1 5
0 1 3
4 2 3
0 0 1
4 0 2
3 1 5
10 7
2 3 1
5 4 0
5 5 2
5 5 1
4 1 2
4 0 3
2 3 3
3 2 4
5 3 4
0 3 0
10 4
4 5 5
2 5 3
2 0 1
2 4 5
1 0 1
3 4 5
2 4 2
5 5 5
4 3 0
3 3 5
10 4
1 1 0
4 5 5
1 3 2
2 3 5
4 3 1
0 2 3
1 4 3
0 4 2
0 0 4
1 2 5
10 9
3 0 4
2 3 3
1 1 1
0 1 1
2 4 3
4 0 2
4 2 4
2 2 1
3 1 4
1 3 0
10 3
2 0 0
2 2 1
0 1 2
0 0 1
2 1 1
1 2 1
1 2 0
1 2 2
0 2 2
0 1 0
10 5
2 0 0
0 0 0
0 1 2
0 0 1
2 2 1
2 0 1
2 1 2
1 1 2
1 0 1
1 0 0
10 8
2 1 1
0 1 0
2 0 2
0 0 1
2 1 0
1 1 2
0 2 2
0 1 1
2 2 2
1 2 0
10 5
1 0 0
2 1 2
2 2 1
0 2 1
2 1 0
2 1 1
1 1 1
1 0 2
2 2 0
0 0 2
10 3
1 0 5
4 0 4
3 5 4
1 4 0
1 5 5
3 5 2
4 5 5
1 0 3
0 5 0
3 3 2
10 2
0 3 2
2 3 2
2 0 3
1 0 3
3 0 2
1 0 0
2 1 1
3 3 2
3 2 2
3 0 1
10 8
2 0 2
0 1 2
2 1 1
2 0 0
2 2 2
0 0 2
0 2 2
1 0 1
1 1 2
2 2 1
10 2
3 2 2
1 2 1
3 0 1
1 0 0
2 0 1
0 3 2
0 2 0
1 1 0
2 1 0
3 2 3
10 7
2 1 1
1 0 1
2 0 2
0 1 0
1 1 0
0 2 1
0 2 2
1 0 2
2 1 0
0 0 2
10 6
1 1 0
1 0 1
2 1 0
0 0 0
2 1 2
1 1 1
1 0 2
1 2 1
2 2 2
0 1 1
10 7
0 3 0
2 2 4
1 4 4
3 1 0
4 0 3
2 4 2
0 4 0
0 2 0
0 4 2
0 1 1
10 7
5 0 2
5 4 1
4 5 3
3 2 3
3 5 4
1 0 2
2 3 0
2 5 1
5 2 2
5 1 0
10 2
2 1 1
1 2 0
0 2 1
0 0 0
2 1 0
1 1 0
1 0 1
0 0 2
0 0 1
2 2 0
10 8
3 5 0
3 4 5
0 5 3
3 0 2
5 4 4
1 3 1
3 3 1
3 4 0
2 3 2
4 4 1
10 7
3 4 5
5 3 3
3 5 3
5 2 2
3 1 4
1 1 5
5 4 2
0 5 3
5 0 3
2 3 1
10 8
3 1 2
3 0 1
0 0 2
3 3 3
0 0 0
1 0 0
2 2 3
2 1 0
2 2 2
2 1 3
10 4
2 1 0
2 0 3
2 0 1
0 4 0
1 2 0
2 1 2
0 0 2
4 3 1
1 1 4
1 3 0
10 9
0 1 1
2 1 2
2 1 1
2 2 1
0 2 1
2 0 0
2 2 0
1 0 0
1 1 1
2 0 1
10 8
3 2 2
3 4 4
2 2 3
1 4 2
4 4 0
3 2 1
2 1 3
3 3 2
2 1 2
2 2 1
10 7
0 1 1
2 1 0
0 2 2
2 0 0
1 1 1
0 0 1
1 1 0
1 2 1
1 2 0
2 0 1
10 5
0 3 1
0 2 0
1 1 2
0 1 3
1 2 2
1 3 1
3 3 0
3 2 3
1 1 1
1 0 2
10 8
1 2 1
3 1 0
1 3 3
0 3 3
1 0 0
2 0 3
0 3 0
2 2 3
0 2 0
2 2 2
10 3
4 3 0
4 4 4
1 1 0
2 2 3
0 3 1
4 3 1
4 0 2
0 2 4
2 0 3
2 1 4
10 5
1 2 3
4 4 3
1 2 4
3 5 0
3 2 1
0 1 1
1 4 5
2 1 3
4 5 4
0 2 1
10 4
3 4 0
0 2 2
4 3 2
4 4 5
3 3 2
5 4 5
1 5 5
4 3 5
1 4 4
2 0 4
10 9
4 0 2
2 4 0
4 2 2
1 0 1
4 1 2
4 1 1
3 3 4
2 2 4
2 4 4
3 2 1
10 4
0 0 1
2 2 0
0 1 0
2 1 0
2 2 1
0 1 2
0 2 0
2 0 0
1 0 0
2 2 2
10 9
1 5 4
0 3 1
0 1 2
3 5 4
5 2 1
5 4 1
2 4 0
5 1 5
3 2 3
4 4 2
10 2
0 2 0
3 0 3
2 2 2
1 3 0
3 2 2
1 0 2
1 2 3
3 0 0
2 1 2
0 2 1
10 4
1 1 3
4 2 1
1 3 5
0 4 0
5 1 3
0 4 2
1 2 2
3 1 3
3 5 4
4 3 4
10 9
2 2 2
2 0 2
0 0 1
1 1 0
1 2 0
0 2 1
0 1 0
1 0 2
2 2 1
0 1 2
10 2
1 2 0
2 2 1
0 2 0
0 1 2
1 2 1
0 2 2
1 0 2
2 2 2
0 1 0
2 1 0
10 7
1 3 2
4 4 1
0 2 2
4 3 1
2 0 2
0 1 4
1 3 4
4 0 0
3 1 0
4 4 4
10 7
1 0 2
3 2 0
3 0 1
2 3 2
3 3 1
3 0 3
1 0 1
0 2 0
2 2 3
0 2 2
10 5
0 2 4
4 2 3
2 3 3
1 2 1
0 2 1
2 2 3
3 1 2
0 3 2
3 0 0
1 1 0
10 6
1 0 1
1 5 1
2 2 2
1 4 3
3 4 0
5 3 0
3 5 2
3 5 5
5 5 0
3 2 2
10 3
1 2 2
0 0 0
1 1 0
1 0 1
1 2 0
0 1 2
0 0 1
0 1 0
0 0 2
2 2 0
10 5
1 1 1
4 3 1
1 4 2
0 0 5
1 1 5
2 3 5
1 4 1
3 2 0
5 0 2
0 1 1
10 2
1 2 2
1 0 2
2 0 1
1 2 0
1 0 0
0 2 1
0 1 0
0 0 2
0 0 0
1 1 2
10 3
2 2 0
0 1 2
1 1 2
2 1 0
0 2 2
0 0 1
2 1 2
2 0 2
1 2 2
2 0 0
10 7
1 1 2
4 0 5
1 2 4
0 5 2
5 1 2
4 4 2
3 5 5
3 5 2
4 5 0
0 0 0
10 7
1 1 2
2 2 0
1 2 0
2 0 2
2 2 1
1 0 2
0 2 0
1 0 0
2 1 0
2 0 0
10 9
0 0 0
2 2 2
1 1 0
1 0 1
1 1 1
2 2 1
0 0 1
1 1 2
0 1 1
2 1 2
10 7
3 0 0
1 3 0
0 3 3
2 3 2
0 1 1
2 0 2
1 1 1
0 2 0
0 2 3
0 1 3
10 8
2 3 0
3 0 2
3 3 0
3 0 1
0 3 2
2 2 1
0 1 1
0 2 2
3 0 0
0 3 3
10 3
4 0 1
3 3 1
2 2 3
1 3 0
0 3 2
0 3 4
1 1 3
4 4 4
3 1 4
1 0 0
10 4
5 2 4
5 0 5
2 0 3
1 0 3
2 1 5
0 1 2
4 5 1
4 3 4
3 3 1
5 1 0
10 8
1 2 4
0 3 0
3 3 3
2 0 5
0 1 4
1 0 0
1 3 1
5 4 0
5 5 4
2 1 2
10 8
4 1 3
1 2 0
3 0 4
2 0 0
3 0 0
4 1 1
3 2 0
0 4 2
2 4 2
2 4 4
10 3
2 0 1
2 2 2
1 0 0
1 0 1
1 1 0
2 2 0
0 1 1
0 1 0
0 0 1
0 0 2
10 2
5 3 5
5 3 4
5 0 3
1 3 1
2 5 2
1 0 4
0 1 5
0 2 2
5 3 2
3 2 3
10 6
1 0 1
2 1 1
0 2 0
0 1 2
1 2 1
1 1 2
0 0 2
0 1 0
2 1 2
2 0 2
10 2
2 2 5
3 2 1
4 5 4
2 5 5
5 0 0
0 1 1
5 5 4
4 5 3
2 2 2
2 0 2
10 5
1 2 4
3 4 2
2 4 4
2 3 4
4 4 2
4 1 2
2 2 3
0 4 3
0 1 3
0 4 4
10 7
3 1 1
1 5 0
1 0 5
1 5 5
4 2 4
2 5 2
1 4 1
5 2 5
5 5 5
0 4 3
10 5
1 2 3
2 0 0
1 1 0
2 2 2
2 4 0
0 4 2
0 1 4
1 4 0
0 2 2
4 1 2
10 9
2 1 1
3 0 1
3 2 3
1 3 2
1 1 0
0 1 3
2 3 0
2 2 0
0 1 1
2 0 2
10 2
1 2 0
3 1 0
2 1 3
0 1 1
1 2 1
2 2 1
3 0 0
0 1 3
2 0 3
0 3 3
10 7
2 1 1
1 1 1
3 0 3
0 3 1
0 2 0
2 2 2
0 1 2
3 1 3
0 3 0
0 0 1
10 4
1 0 2
2 2 2
1 0 1
2 1 0
1 2 0
1 0 0
1 2 1
0 1 0
2 0 1
1 1 2
10 7
1 2 1
1 2 2
0 0 0
0 0 1
2 0 2
2 2 0
1 1 1
2 2 1
0 0 2
1 1 0
10 8
1 2 2
1 0 2
1 2 0
2 0 0
0 0 2
2 1 2
1 0 0
2 0 2
0 0 0
0 0 1
10 7
0 1 0
3 0 2
0 2 2
2 3 5
4 1 5
1 4 4
1 3 2
0 2 5
4 1 1
5 3 1
10 6
0 4 5
5 3 0
4 4 3
4 2 4
5 1 0
2 4 2
2 2 2
4 5 5
3 0 4
3 2 0
10 9
4 0 5
4 5 0
0 1 3
4 5 4
1 0 5
1 5 1
5 5 0
3 4 2
1 4 2
1 2 2
10 9
1 1 2
0 1 2
0 1 1
2 0 1
1 0 1
0 1 0
0 2 1
1 2 2
2 2 0
1 2 1
10 9
0 2 1
1 0 0
1 1 1
0 0 2
1 2 1
0 2 0
1 0 1
2 2 2
2 0 2
0 1 2
10 5
3 4 3
3 0 1
2 0 4
1 0 2
4 3 4
1 3 1
4 4 0
2 3 3
2 4 3
0 4 4
10 4
0 0 0
5 3 3
2 5 0
5 1 2
0 4 4
3 4 1
3 1 5
1 4 0
1 1 4
2 4 3
10 5
2 2 2
1 0 1
0 1 0
0 0 1
2 0 2
2 1 0
0 0 2
2 2 1
2 1 1
0 1 2
10 3
2 0 4
1 2 2
4 4 3
1 2 1
2 3 3
0 2 2
1 2 4
1 4 0
1 0 1
3 1 3
10 5
0 3 2
0 1 2
2 3 1
0 0 2
1 3 2
2 2 3
3 1 3
1 0 3
3 3 1
0 2 0
10 2
4 2 4
4 3 3
1 3 0
1 5 0
4 0 2
1 5 4
5 5 3
1 2 0
1 4 1
0 3 3
10 9
0 1 2
0 0 2
2 0 1
0 2 1
1 2 3
3 2 2
0 2 2
3 1 3
2 2 3
3 3 1
10 5
2 0 1
1 2 1
2 1 2
0 0 1
1 2 0
2 0 0
0 2 1
0 0 2
1 2 2
0 2 0
10 4
5 5 2
2 0 3
2 4 5
5 0 0
1 5 1
5 2 5
3 2 4
4 3 2
4 0 5
1 0 2
10 2
0 2 1
4 3 1
3 0 2
2 2 2
1 1 1
1 3 1
4 0 2
1 0 1
2 4 4
3 3 4
10 4
0 2 1
2 1 1
1 2 1
0 2 0
2 1 0
0 2 2
2 1 2
1 0 2
1 2 2
2 2 2
10 9
1 3 1
0 3 4
0 5 5
3 5 4
2 0 5
1 0 1
1 3 4
1 3 2
1 3 3
1 5 2
10 3
1 0 3
1 2 4
4 3 5
4 0 4
2 1 0
3 0 2
5 0 2
5 2 4
0 2 0
1 3 5
10 6
3 2 1
2 2 0
0 0 3
2 3 1
1 0 3
3 1 2
0 1 1
3 1 0
0 3 1
0 3 0
10 8
4 2 4
2 1 3
3 4 4
3 5 3
5 5 2
1 4 1
2 1 2
4 1 2
1 5 0
0 4 2
10 5
1 1 2
2 1 1
1 0 0
1 1 0
1 2 1
0 1 1
2 0 2
2 0 0
0 2 2
2 1 0
10 5
2 2 4
1 2 2
1 1 3
0 1 4
3 1 3
2 3 2
3 3 2
0 4 3
4 4 0
4 0 1
10 2
0 1 4
1 2 4
1 0 5
2 4 3
5 1 2
0 3 0
1 5 5
2 2 1
1 3 2
3 0 1
10 7
4 0 0
4 1 2
2 0 1
1 4 3
0 2 1
2 2 0
0 3 2
3 2 3
4 2 3
2 4 1
10 3
0 3 0
2 1 3
4 4 0
1 4 3
0 4 0
1 3 1
0 1 0
0 3 3
2 1 1
2 0 1
10 7
0 0 0
1 2 4
4 1 1
0 4 0
2 4 2
4 4 2
4 4 0
0 1 3
0 1 4
3 3 3
10 5
3 0 0
1 1 2
1 2 0
0 0 2
3 3 1
1 1 0
3 1 0
2 0 3
0 3 3
3 1 3
10 2
4 3 5
2 2 3
4 3 3
0 5 3
3 1 3
1 4 0
4 3 0
5 0 4
3 3 2
0 3 1
10 5
1 4 2
1 0 2
0 3 0
1 0 0
0 3 2
0 4 1
1 0 3
1 3 1
2 2 4
2 0 1
10 9
3 1 0
2 2 1
2 3 4
2 2 4
4 4 0
4 4 4
3 2 1
4 4 3
2 0 0
0 0 3
10 5
1 4 1
1 3 3
3 4 2
0 2 3
1 2 2
0 4 4
1 2 4
0 4 3
4 1 1
4 3 0
10 9
1 0 1
2 0 1
0 1 0
3 2 2
2 2 0
2 3 1
1 4 1
0 4 2
1 2 1
1 0 3
10 9
2 1 1
2 1 4
5 3 2
4 3 2
0 5 0
0 1 1
4 2 0
2 5 0
4 0 2
3 0 3
10 7
0 2 1
3 1 0
2 3 1
0 3 2
3 3 3
2 3 2
0 1 2
3 0 3
3 3 1
0 0 3
10 4
2 5 4
4 5 3
4 5 0
2 1 3
2 2 4
4 5 1
1 5 2
3 4 3
3 0 1
0 5 0
10 6
4 1 4
2 1 4
1 1 4
2 4 1
0 0 3
1 1 0
0 0 0
2 2 1
3 0 0
1 4 4
10 6
0 0 3
3 2 3
1 0 0
1 2 0
2 3 1
3 3 3
3 1 0
3 0 1
2 2 1
2 0 1
10 6
4 3 2
1 0 0
1 1 4
5 0 5
5 0 3
2 0 2
0 4 1
3 5 3
3 2 0
5 5 3
10 5
4 2 1
2 1 3
2 2 2
4 3 1
1 2 1
3 0 4
1 2 4
4 0 4
4 3 3
3 3 4
10 6
4 0 5
1 2 3
5 1 4
0 1 5
1 4 4
5 5 3
0 1 1
3 3 4
0 5 0
1 4 1
10 8
1 1 2
1 2 0
2 0 1
2 2 2
2 2 1
2 1 2
2 0 0
2 1 1
0 0 0
2 1 0
10 5
3 3 4
4 1 4
1 2 1
1 0 1
4 3 3
2 0 1
1 3 3
3 0 0
1 3 2
0 1 4
10 6
2 2 1
2 2 4
3 1 1
3 3 3
0 2 2
3 1 3
2 0 0
3 0 0
0 4 3
4 0 4
10 6
1 2 0
2 2 2
2 2 0
1 0 3
0 1 3
1 0 1
3 3 0
2 1 2
0 2 3
2 2 1
10 7
2 2 0
2 1 1
1 1 1
0 1 1
0 0 0
2 2 1
1 1 0
0 2 0
0 0 1
0 1 0
10 7
4 4 3
2 4 3
1 4 1
0 0 1
0 1 2
2 3 2
1 2 1
3 2 4
4 0 2
3 2 3
10 6
4 0 0
4 3 4
4 2 2
2 2 4
1 1 2
3 0 0
4 0 1
3 3 3
1 4 1
0 4 3
10 5
2 3 3
2 3 1
3 1 3
2 1 2
2 1 1
1 1 3
1 3 3
0 2 2
2 2 0
1 1 2
10 6
1 1 0
3 2 2
2 0 2
1 1 1
0 3 2
1 2 1
3 2 3
2 2 1
3 1 2
3 0 3
10 5
1 0 2
1 2 1
2 1 0
2 2 2
0 0 1
2 0 2
2 0 1
2 1 1
2 2 0
0 0 0
10 8
2 4 2
3 2 4
2 2 3
1 4 3
3 0 0
2 1 1
4 4 2
0 2 4
0 3 0
1 1 4
10 9
0 0 2
1 2 1
2 1 1
0 2 2
0 1 0
2 0 0
2 0 2
2 0 1
0 1 1
2 1 0
10 2
4 1 0
1 3 2
4 3 2
4 5 3
5 5 3
5 2 0
2 4 5
4 4 0
2 2 0
4 2 0
10 4
4 1 5
1 1 5
2 1 5
2 2 1
0 0 1
5 2 5
5 3 4
4 4 4
4 2 0
2 0 3
10 6
2 2 2
1 2 2
1 0 2
1 2 0
2 1 2
2 2 1
1 0 0
2 1 1
1 1 2
0 1 0
10 6
0 1 1
1 2 2
1 1 0
1 0 2
0 0 2
1 1 1
2 2 1
0 0 0
2 0 2
2 1 1
10 7
1 0 1
0 2 3
0 3 2
0 0 1
1 1 3
1 1 2
3 2 0
1 1 1
1 2 3
3 0 0
10 7
5 2 4
0 0 5
4 5 4
0 5 5
0 0 3
2 5 2
4 4 2
2 5 4
1 5 4
0 0 2
10 8
4 2 5
5 3 1
0 5 5
0 1 0
0 0 0
3 2 1
4 3 3
4 5 2
4 0 4
1 2 3
10 4
1 2 0
2 0 2
1 1 0
2 0 0
1 0 1
1 1 2
0 2 1
0 1 2
2 1 2
0 0 0
10 9
3 4 1
3 5 5
2 4 0
2 4 4
3 1 0
1 1 0
5 5 3
0 0 0
0 2 2
3 4 2
10 5
0 3 0
0 1 3
3 3 1
5 4 5
5 3 1
4 3 2
2 3 5
2 3 1
4 4 0
5 3 3
10 4
0 2 1
1 0 2
2 2 1
0 2 2
2 0 0
1 1 0
1 2 1
1 2 2
1 0 1
0 0 2
10 2
3 2 0
4 2 3
0 0 3
2 1 3
3 1 2
3 1 4
1 0 3
1 0 4
3 0 3
3 3 3
10 8
4 2 0
3 3 3
0 5 3
5 4 1
2 3 1
0 4 0
4 2 2
0 0 0
3 3 5
0 3 1
10 9
0 1 0
0 3 2
1 3 1
3 3 1
0 2 0
3 1 3
1 2 2
1 1 2
3 1 2
0 1 2
10 7
0 4 3
3 0 3
4 3 3
3 1 2
4 3 0
4 0 2
2 4 4
2 3 4
0 1 2
2 2 4
10 2
0 2 2
1 3 4
2 3 0
4 5 4
2 4 5
0 0 3
2 5 5
0 2 1
2 4 2
3 0 0
10 6
0 2 2
2 2 2
0 1 1
1 1 0
1 0 1
1 1 1
2 1 0
2 2 0
0 1 0
0 0 0
10 3
1 2 1
0 0 1
2 1 2
0 0 2
0 2 1
1 2 2
2 0 0
2 1 1
1 0 0
0 1 0
10 5
1 0 2
0 1 0
1 1 0
1 2 1
1 0 0
1 0 1
1 1 1
0 2 1
2 2 1
0 2 2
10 4
0 2 2
3 3 2
3 0 2
1 2 0
1 1 1
0 1 0
1 3 2
1 1 3
3 3 1
1 0 3
10 2
1 0 1
1 2 3
3 0 2
1 3 3
0 1 3
3 1 3
0 2 1
3 0 0
0 3 2
2 1 0
10 2
2 0 0
0 0 3
3 2 0
1 0 2
1 2 1
0 1 1
3 2 3
0 3 1
2 0 3
2 0 2
10 8
1 0 1
2 1 2
0 2 0
0 1 2
0 0 2
2 2 1
2 2 2
0 2 1
1 2 0
0 2 2
10 8
2 2 2
1 1 1
1 0 2
0 0 2
1 1 0
0 1 2
1 1 2
1 0 0
2 1 1
2 2 1
10 5
0 0 1
3 3 0
3 3 3
4 0 1
2 2 2
3 4 3
3 3 4
3 1 0
1 2 2
0 3 1
10 9
0 3 3
2 0 3
2 4 4
0 2 3
2 4 2
1 2 2
2 3 0
1 3 2
0 2 2
2 0 4
10 6
4 0 3
3 2 2
0 0 4
3 1 0
4 2 4
3 2 4
4 0 2
1 1 0
2 4 3
4 1 0
10 5
0 0 0
1 0 1
0 2 0
0 2 1
1 2 1
2 2 0
1 0 2
1 2 2
2 2 1
0 1 0
10 5
3 2 0
3 0 3
0 3 1
2 1 2
1 2 0
3 0 1
1 0 1
1 1 1
1 1 2
0 1 0
10 7
0 4 3
1 4 3
3 3 5
0 0 3
3 5 4
2 0 1
0 3 5
2 5 2
2 0 5
1 1 1
10 2
2 2 1
0 0 0
0 1 1
2 0 0
2 2 2
0 2 2
2 0 2
0 2 0
0 2 1
0 1 2
10 3
0 2 0
0 2 1
2 0 0
1 0 1
2 0 1
1 1 0
0 0 0
2 1 0
2 1 2
0 1 0
10 7
1 1 4
1 2 3
3 2 4
2 3 2
0 4 1
3 3 2
3 2 0
3 3 3
1 2 4
2 2 3
10 7
1 3 2
2 3 0
0 4 3
2 3 2
3 4 3
2 1 3
0 3 1
1 2 3
4 1 2
2 0 1
10 3
1 1 0
2 2 0
2 0 0
1 0 1
0 1 0
1 1 1
0 1 2
2 1 0
1 2 0
1 0 0
10 4
4 0 3
3 1 1
3 2 0
0 2 1
4 4 4
1 3 1
4 4 0
1 0 1
2 3 2
0 3 4
10 9
1 4 3
2 1 2
3 0 0
4 4 4
5 2 2
1 4 1
4 3 1
5 1 3
1 2 2
4 4 1
10 7
2 1 2
0 0 1
0 0 0
2 0 0
0 2 1
0 1 2
2 1 1
2 1 0
1 2 0
1 0 0
10 5
3 3 2
2 3 1
2 1 1
0 3 3
2 0 4
4 4 1
0 0 2
1 2 3
0 4 0
4 0 0
10 4
1 1 2
0 1 0
2 2 2
3 4 1
0 3 1
4 1 0
1 4 0
2 4 2
0 0 3
2 3 2
10 4
1 5 5
4 0 2
3 5 3
0 5 4
1 5 3
3 0 3
0 1 0
4 4 0
3 4 5
0 3 3
10 4
0 3 3
1 2 3
3 2 3
2 1 3
2 2 2
2 0 1
0 3 0
1 0 3
0 2 1
3 0 0
10 6
1 5 2
4 4 2
2 4 1
5 4 2
5 3 3
1 0 0
2 1 2
5 4 5
1 0 5
5 2 4
10 3
2 1 0
3 4 3
4 2 3
1 0 2
0 2 0
0 1 1
4 0 0
3 2 4
2 4 2
4 2 1
10 3
0 0 2
0 1 2
2 1 2
0 1 1
0 0 1
0 2 2
2 1 1
1 0 2
2 0 0
1 0 1
10 9
1 1 3
1 2 2
0 2 3
2 2 1
1 2 0
2 3 0
0 3 0
1 2 1
3 3 0
3 2 2
10 6
1 4 1
4 4 4
3 1 2
2 2 0
0 4 1
4 3 2
1 4 2
4 4 3
2 2 3
3 4 1
10 5
3 0 2
4 4 3
0 0 3
2 0 0
4 1 5
5 0 0
5 5 5
4 4 1
1 0 3
3 3 0
10 5
0 0 2
1 0 1
3 0 1
3 0 3
0 2 2
1 1 0
2 2 1
3 1 2
1 1 1
1 0 2
10 4
0 2 1
2 1 2
2 1 0
2 2 0
2 1 1
1 2 0
2 0 1
1 1 2
2 2 1
1 0 1
10 2
3 3 1
2 3 4
2 3 1
4 4 4
3 4 4
0 1 3
1 0 1
4 3 3
0 2 3
4 4 0
10 9
4 4 1
5 0 0
2 1 3
5 0 4
3 1 1
0 3 5
0 1 1
4 1 2
5 1 0
4 5 1
10 8
0 0 3
1 1 3
2 0 4
5 5 2
5 0 2
3 0 1
1 5 3
5 2 2
2 4 3
3 0 0
10 3
2 0 0
0 2 1
1 2 0
0 0 2
0 1 1
1 2 2
2 1 2
1 0 1
2 2 1
2 2 2
10 2
0 3 2
1 3 2
1 0 0
2 2 1
2 3 1
3 3 3
2 1 2
0 1 2
0 1 3
1 0 3
10 6
1 3 2
2 2 3
2 0 1
0 1 1
1 3 1
0 0 2
3 0 2
2 0 3
1 3 3
1 3 0
10 4
0 0 0
2 1 0
2 3 2
0 2 2
0 2 1
2 0 1
0 2 3
3 0 3
1 2 0
1 0 3
10 9
1 1 5
1 0 4
4 2 1
1 4 3
4 4 5
4 0 3
1 3 1
0 2 3
0 0 0
2 5 2
10 5
0 0 0
3 2 0
2 3 4
1 4 1
0 1 0
4 4 0
2 0 0
0 4 1
0 3 1
4 3 3
10 6
2 0 0
1 0 1
0 4 3
3 4 1
2 4 0
4 2 0
1 0 2
3 2 2
1 0 4
1 1 4
10 6
2 5 3
3 4 4
3 0 2
5 5 0
2 1 2
3 3 5
1 3 2
5 0 5
0 0 2
5 1 3
10 2
3 0 2
3 4 0
4 0 4
3 0 4
2 1 1
1 0 3
3 2 4
4 4 0
4 4 1
3 0 3
10 5
5 1 1
5 3 1
4 3 2
4 3 0
2 1 3
1 2 3
0 1 2
5 0 2
5 5 1
4 4 5
10 5
3 0 2
2 2 1
3 1 0
4 4 4
4 3 4
1 4 4
4 4 2
2 2 4
4 0 2
1 1 1
10 9
1 4 1
2 4 0
1 4 4
2 2 2
0 2 2
4 4 2
4 5 4
4 5 1
4 2 2
5 1 1
10 8
0 0 1
4 3 2
0 2 3
2 1 3
2 0 1
1 3 0
3 4 4
3 2 2
2 4 3
2 1 4
10 7
1 1 0
0 1 0
1 1 2
2 1 2
1 2 0
2 0 1
1 0 0
0 2 1
1 1 1
1 2 2
10 4
1 3 3
2 2 1
3 3 2
3 0 3
0 3 0
0 1 2
3 1 2
3 1 3
3 2 2
2 1 3
10 9
0 1 0
1 2 1
2 2 0
2 2 1
2 1 1
1 1 1
1 0 1
0 0 0
1 0 0
2 0 0
10 2
3 2 0
4 0 3
0 1 1
2 3 0
2 0 2
3 1 0
1 4 0
2 2 2
3 0 0
0 0 1
10 9
3 0 3
1 1 3
1 3 1
1 2 0
1 0 2
0 1 0
2 0 2
0 2 0
3 3 1
2 3 1
10 3
0 2 0
1 1 2
1 0 1
1 1 1
0 1 2
0 0 2
2 0 0
0 2 2
2 0 1
1 2 2
10 6
2 2 3
3 4 4
1 4 3
3 1 2
0 0 2
4 2 0
1 1 2
3 1 3
2 1 2
1 3 0
10 9
0 0 5
0 4 4
0 5 4
1 4 4
0 0 4
1 1 3
1 1 5
5 4 4
0 1 0
4 5 1
10 8
1 0 4
4 1 2
3 1 1
3 0 4
4 1 4
4 3 1
0 2 2
0 4 3
2 0 3
2 2 2
10 4
0 1 3
2 0 1
2 3 0
3 2 2
2 2 1
1 0 2
2 3 3
0 3 2
0 3 3
1 1 3
10 5
0 0 0
2 0 0
2 1 2
3 3 2
4 2 3
1 0 3
1 4 0
4 0 2
3 1 0
2 3 0
10 3
0 0 3
0 3 0
3 0 3
3 2 0
1 0 3
1 0 2
2 1 2
0 1 0
0 0 1
1 0 0
10 5
2 4 3
2 0 0
0 0 0
4 1 1
4 0 3
0 2 1
4 3 0
2 3 4
1 1 3
3 1 3
10 4
5 4 2
5 4 4
0 5 2
0 4 2
4 2 1
5 0 4
4 4 2
0 0 5
2 0 5
3 3 4
10 9
1 4 3
2 1 0
0 1 1
2 2 0
2 3 4
4 1 4
1 2 3
3 3 1
1 0 1
3 0 0
10 3
1 2 3
2 2 3
1 0 1
0 3 0
0 2 0
2 3 1
2 3 2
1 1 1
3 0 0
2 2 2
10 4
1 3 3
0 1 3
3 1 0
0 1 2
3 1 1
2 3 1
3 2 2
1 1 3
0 0 1
1 3 2
10 6
5 1 3
2 3 3
0 5 0
5 4 5
3 1 4
2 4 0
3 3 0
4 1 4
3 5 3
1 1 3
10 9
2 2 3
4 1 0
5 0 4
5 0 1
3 0 2
0 1 3
2 1 2
0 0 2
2 2 1
3 5 4
10 6
2 1 2
2 2 0
0 2 1
2 2 1
2 0 0
1 1 1
0 1 1
1 2 1
0 0 1
1 0 1
10 9
5 2 5
3 1 1
4 2 5
5 1 2
3 5 1
0 4 0
4 3 5
2 5 2
1 1 5
3 5 0
10 3
0 0 0
1 2 1
2 2 1
0 1 1
0 1 0
0 2 2
1 0 2
2 1 1
2 0 1
1 0 1
10 4
0 0 0
0 2 0
1 0 2
2 1 0
2 2 0
2 1 1
2 2 2
1 2 0
1 1 0
2 0 2
10 2
4 4 3
3 1 0
4 2 0
3 4 0
3 2 1
0 3 2
3 1 4
4 1 0
3 2 2
1 3 1
10 3
2 2 0
1 0 0
1 2 0
1 1 0
0 2 0
1 1 2
0 1 2
1 0 1
2 0 0
2 2 2
10 4
1 2 0
1 0 1
0 1 0
2 1 0
1 2 2
2 1 1
1 0 0
0 2 1
0 1 1
1 0 2
10 4
3 0 1
5 0 1
1 3 4
1 3 3
5 1 1
2 0 4
1 0 3
1 4 5
4 2 3
5 5 0
10 3
0 1 0
0 2 2
2 1 0
0 0 0
0 1 1
1 1 0
2 1 1
2 2 0
1 2 0
0 2 1
10 8
0 0 3
2 1 1
0 2 0
2 2 3
3 2 2
2 3 2
1 3 1
2 1 3
1 3 2
1 2 3
10 8
2 0 0
1 0 1
0 1 0
2 2 1
2 1 1
1 1 1
2 0 2
0 1 1
0 0 0
1 2 1
10 9
3 1 4
2 5 3
1 5 4
5 3 3
3 2 5
3 2 1
1 2 1
0 0 5
5 4 3
0 4 0
10 9
3 5 4
3 3 5
5 5 4
0 1 1
5 1 5
5 0 5
4 5 0
0 0 4
2 4 4
4 5 3
10 9
1 0 0
2 1 3
0 1 2
1 2 0
0 2 0
0 3 3
2 0 2
3 1 3
3 0 2
2 3 3
10 7
2 0 2
2 1 2
1 2 1
1 2 0
2 1 0
2 2 1
0 0 1
0 1 0
1 1 1
2 1 1
10 8
0 1 0
0 1 1
2 0 0
2 1 1
0 0 2
2 1 2
2 2 1
1 0 0
2 1 0
1 1 1
10 4
3 4 4
0 3 1
0 0 2
0 3 4
2 3 1
2 0 1
3 1 0
3 2 2
2 3 0
2 3 3
10 4
2 1 0
3 1 0
1 0 1
2 1 2
2 2 2
3 3 2
1 1 2
2 0 2
1 1 0
2 0 0
10 4
1 1 0
2 0 0
3 0 1
2 2 0
3 2 1
3 2 2
1 2 3
3 0 0
0 3 1
1 1 2
10 2
0 2 0
2 0 0
2 0 2
2 0 1
1 1 1
1 1 0
2 1 1
1 0 1
1 2 2
0 0 1
10 6
4 3 0
4 1 0
3 2 4
4 0 3
0 0 0
2 0 2
0 0 4
0 4 1
0 1 3
2 0 3
10 5
0 3 1
0 3 2
1 1 0
0 2 3
3 3 2
2 0 3
2 3 3
2 2 0
1 0 1
3 1 1
10 8
3 3 2
3 4 0
2 1 3
3 0 3
0 3 4
1 1 0
4 5 1
0 1 4
2 3 5
2 4 2
10 8
3 4 3
3 2 2
2 3 3
2 0 0
3 1 1
4 0 2
1 3 4
3 1 4
2 2 1
0 4 1
10 3
0 2 4
4 2 3
0 0 2
2 3 3
0 4 2
2 3 2
0 1 3
1 0 2
3 1 4
1 1 3
10 2
0 1 0
1 0 0
2 1 1
2 1 2
1 0 1
2 2 0
1 1 0
1 2 0
2 2 2
2 0 2
10 5
4 0 1
0 4 4
1 0 1
4 2 1
1 1 1
2 2 1
0 4 2
4 3 4
1 2 0
2 3 1
10 6
3 3 0
2 4 3
4 1 0
1 4 5
2 1 3
3 5 5
1 3 0
5 5 4
0 2 4
2 5 4
10 3
2 0 2
3 1 0
3 4 3
1 1 3
4 1 2
1 1 1
3 4 4
2 2 2
4 3 0
3 1 3
10 8
5 2 1
2 2 2
4 3 4
3 4 5
4 1 4
2 1 3
0 2 1
1 3 0
0 1 3
0 1 2
10 6
3 0 1
4 2 3
3 3 5
0 3 1
3 0 5
2 2 0
0 4 1
5 5 0
2 2 1
3 4 4
10 9
4 4 4
2 2 3
2 3 0
1 2 4
1 0 3
3 0 1
3 5 0
2 2 4
1 0 5
3 1 2
10 5
4 0 3
3 0 3
0 0 4
3 0 0
1 1 2
3 2 3
4 0 0
0 2 2
0 4 4
3 3 2
10 4
2 4 1
5 5 3
4 4 0
1 0 2
3 0 1
5 0 3
0 3 1
3 5 5
2 0 2
2 0 3
10 5
3 0 0
2 3 1
3 1 0
0 2 0
1 1 1
1 1 3
2 2 1
3 1 3
1 0 0
1 0 1
10 8
4 4 0
5 0 1
5 1 2
2 2 4
2 1 0
5 1 3
4 4 3
5 3 1
3 1 3
0 5 1
10 7
3 5 4
0 3 2
0 1 4
2 2 5
4 2 1
3 5 5
1 3 4
1 2 1
3 1 0
2 5 4
10 2
1 1 4
1 3 4
3 0 1
3 1 1
2 0 1
1 3 3
1 1 2
4 4 3
0 1 1
4 1 0
10 5
3 0 3
0 3 0
1 0 2
2 0 2
2 2 0
3 3 1
3 0 1
3 0 2
0 1 2
1 0 3
10 9
0 0 2
0 2 4
2 0 2
4 3 1
0 4 4
2 1 2
3 4 2
3 2 3
0 2 2
4 4 4
10 4
1 0 0
0 1 3
4 4 2
3 2 0
0 2 3
3 1 4
1 4 2
0 3 2
1 2 4
3 3 1
10 3
3 1 2
4 0 2
5 4 0
2 3 4
0 1 2
5 2 3
2 5 1
2 4 5
3 4 4
2 0 0
10 8
0 2 2
4 0 4
0 2 1
2 4 1
4 1 1
3 3 0
3 2 0
3 1 2
1 4 3
4 3 3
10 2
0 0 2
2 2 1
0 2 2
1 1 0
1 0 2
2 1 0
0 2 0
1 2 2
1 1 1
2 0 0
10 9
1 3 3
1 4 4
0 1 1
2 2 2
1 2 2
3 4 1
4 1 4
0 2 2
4 1 1
0 4 4
10 7
2 2 2
1 1 0
0 2 0
2 0 0
0 1 1
0 1 0
2 1 2
2 2 0
1 1 1
1 2 0
10 8
4 2 3
5 5 2
1 5 0
2 3 1
0 3 3
1 3 2
3 4 3
2 4 4
0 3 5
1 4 1
10 3
2 0 2
1 3 1
2 3 3
3 1 1
1 1 2
3 0 2
0 3 3
3 2 2
2 1 1
0 1 1
10 2
2 1 4
2 4 0
5 1 2
1 5 0
3 5 3
5 1 3
1 2 0
3 2 5
3 1 0
2 5 3
10 6
3 2 0
1 2 2
2 2 1
2 3 1
1 2 0
0 1 1
0 2 3
1 0 3
3 3 0
2 3 2
10 4
5 2 1
3 4 3
1 3 4
0 4 0
1 1 0
5 1 0
1 0 0
1 2 4
5 0 2
1 4 1
10 5
0 2 3
2 1 0
0 0 1
1 0 2
1 3 2
2 1 3
0 2 0
3 1 3
0 0 3
0 0 0
10 7
2 2 1
5 0 5
4 4 1
1 0 5
2 5 5
1 4 4
0 4 4
0 0 0
4 2 4
0 5 2
10 9
2 4 4
1 2 4
2 1 2
0 3 2
3 3 0
3 1 2
3 2 2
2 1 1
2 1 0
3 1 0
10 9
1 5 5
5 1 0
1 0 5
1 5 1
5 3 3
1 3 4
4 2 3
1 3 3
4 3 1
2 2 4
10 3
3 3 0
2 0 1
2 5 0
4 0 0
1 0 0
1 0 1
1 4 2
1 0 3
1 4 0
0 5 3
10 4
1 2 3
3 2 1
2 0 0
0 2 2
1 3 2
2 1 2
3 0 2
1 0 3
1 3 3
0 2 0
10 8
5 5 4
0 0 2
2 4 3
5 0 4
0 1 4
0 3 1
1 1 2
1 2 5
2 4 2
5 3 0
10 8
0 0 1
1 2 1
2 1 0
2 0 0
0 1 3
1 3 0
3 0 3
1 1 3
0 1 0
1 2 3
10 9
1 4 4
2 3 4
1 0 5
4 5 0
3 1 3
0 5 4
2 0 0
2 2 0
1 5 1
0 2 5
10 2
3 2 4
3 4 0
1 2 4
2 0 2
1 4 3
2 4 3
0 1 4
4 3 1
4 1 0
2 4 2
10 3
2 2 3
4 5 3
1 4 5
2 1 1
0 0 4
0 5 0
2 5 2
2 3 0
3 1 3
5 2 3
10 9
2 1 2
0 2 0
0 2 3
2 3 2
3 2 0
1 0 3
1 3 0
2 1 3
0 1 0
3 3 2
10 9
3 2 0
3 0 1
3 1 1
2 2 2
3 3 1
3 2 1
2 3 3
2 0 0
2 2 0
0 1 2
10 2
0 4 1
5 1 5
0 1 1
4 4 5
3 3 0
4 4 1
2 4 1
4 4 2
2 0 0
3 0 4
10 8
0 2 1
1 3 3
2 3 1
1 1 1
2 2 3
0 0 3
1 2 2
3 3 0
0 1 1
2 1 1
10 9
2 2 2
3 1 0
3 2 3
2 3 3
2 1 1
0 2 2
1 0 0
2 1 2
3 2 1
0 3 1
10 9
1 1 0
1 2 2
2 2 2
2 0 1
0 2 0
0 2 1
2 1 0
0 0 1
0 1 0
2 0 0
10 7
4 2 5
3 2 4
5 5 1
5 1 3
1 0 0
2 1 2
2 4 5
4 2 3
4 5 0
2 0 3
10 2
2 0 1
0 4 3
3 3 4
1 2 2
2 0 4
4 4 0
2 3 4
1 3 3
1 1 0
1 2 3
10 8
3 0 1
4 4 4
0 3 0
2 4 0
3 0 3
4 0 2
2 3 1
1 2 4
3 2 0
4 0 0
10 8
3 2 3
1 1 1
0 1 3
1 0 3
3 1 2
3 2 2
0 0 2
1 1 0
1 2 2
0 3 1
10 3
2 1 2
2 2 2
3 0 1
1 1 4
4 0 4
1 5 2
4 3 1
4 0 1
1 0 0
5 1 1
10 5
3 1 4
3 1 1
0 0 0
1 0 0
2 2 3
1 0 3
4 2 3
2 1 0
4 4 5
4 0 3
10 4
3 3 3
2 5 4
3 5 5
4 1 4
2 0 4
0 4 3
4 4 4
3 5 1
5 0 2
0 4 0
10 4
5 1 1
2 2 5
1 0 5
3 5 2
2 4 1
1 0 0
5 5 4
5 2 1
4 4 0
5 1 2
10 7
2 2 0
2 0 0
3 0 0
3 3 3
1 0 1
1 0 0
0 3 2
0 0 2
1 3 0
0 3 3
10 2
1 1 2
1 0 4
0 3 3
1 3 2
2 3 3
1 2 4
4 2 0
1 1 1
3 3 4
2 1 2
10 5
0 0 5
3 4 3
1 3 5
0 5 2
1 4 1
2 5 0
3 3 3
1 0 1
2 5 1
4 0 2
10 8
0 0 1
1 2 2
1 1 1
2 0 0
0 0 0
0 2 0
2 2 0
1 2 1
1 2 0
1 0 0
10 6
1 2 2
0 2 1
0 2 0
2 2 2
2 1 2
0 0 2
0 0 1
2 0 1
2 2 0
1 0 1
10 7
0 0 0
2 2 3
3 0 1
3 1 2
2 2 2
3 3 0
3 0 0
0 2 1
0 0 1
0 3 2
10 7
0 2 1
2 0 3
3 3 2
0 3 1
0 0 2
1 0 2
2 0 1
1 2 0
1 3 2
0 0 3
10 3
0 4 4
2 1 2
2 0 3
2 1 3
0 1 1
3 0 1
4 2 2
1 0 1
2 0 0
0 0 2
10 9
3 4 1
1 0 5
1 4 5
2 0 5
5 1 0
1 4 2
4 5 3
4 5 2
4 4 1
3 1 0
10 7
0 0 0
2 3 1
0 4 4
2 1 3
1 4 4
2 1 4
0 0 2
0 2 4
2 2 0
3 0 2
10 6
0 2 3
1 4 4
3 0 2
3 0 1
5 5 5
3 1 3
3 4 0
1 1 5
2 5 5
3 0 4
10 3
2 1 4
0 4 1
3 0 0
0 0 2
2 3 2
2 1 0
3 1 3
4 2 2
1 4 0
3 0 4
10 8
2 0 0
0 1 0
0 0 1
2 1 0
1 1 2
0 2 2
2 2 1
0 2 0
2 1 2
2 1 1
10 6
3 2 1
0 0 1
0 3 2
4 4 0
3 1 3
1 2 1
4 1 1
1 2 4
0 4 2
4 0 4
10 5
0 0 2
1 1 2
1 1 1
2 2 1
1 0 2
0 0 0
0 0 1
2 2 0
2 0 2
1 2 2
10 5
0 2 3
4 2 4
3 2 3
1 3 0
5 5 1
3 4 4
5 3 5
4 1 0
5 0 5
5 4 0
10 7
0 3 3
0 2 3
3 0 0
1 2 2
3 1 0
1 0 3
2 0 0
2 2 2
3 3 0
1 1 3
10 8
1 2 0
1 2 1
2 2 2
0 2 0
2 1 0
2 2 0
0 1 1
1 1 0
2 0 0
1 2 2
10 9
3 3 3
0 0 1
3 1 2
2 2 1
2 2 3
0 0 0
2 0 2
1 0 0
2 3 2
3 0 0
10 8
5 5 1
0 4 3
0 4 4
4 2 4
1 3 3
3 1 5
3 0 5
3 4 1
4 4 3
2 5 1
10 2
3 4 0
4 1 2
2 1 2
0 1 2
1 4 1
2 0 1
4 0 1
2 2 1
2 1 3
2 3 2
10 5
2 4 4
2 2 0
2 3 2
3 4 4
2 2 3
4 3 0
2 3 3
0 3 4
0 0 1
0 3 2
10 4
3 4 1
3 4 4
1 2 2
0 3 4
2 2 0
4 1 3
0 0 4
1 3 0
3 1 3
1 3 4
10 4
0 3 2
3 1 2
2 3 4
0 2 4
2 4 0
2 2 0
4 1 2
0 2 1
4 0 0
3 4 4
10 8
0 2 0
1 2 2
0 1 0
2 1 3
3 1 1
2 1 1
2 2 2
3 0 2
2 3 0
1 2 3
10 7
4 3 2
3 3 4
3 5 4
0 0 4
5 1 2
4 5 5
3 5 2
4 4 3
1 1 4
3 5 5
10 4
1 2 0
2 1 1
0 1 2
2 2 0
0 1 1
1 2 1
0 0 1
1 2 2
2 0 2
2 2 2
10 3
4 4 1
0 2 4
0 0 2
1 5 4
4 2 3
3 4 3
2 2 3
4 0 2
5 0 2
5 3 1
10 9
3 3 1
2 2 0
5 1 2
1 3 3
4 4 4
4 5 0
1 5 3
0 1 5
4 5 5
5 4 1
10 7
1 1 3
0 2 3
4 0 1
1 3 2
2 1 0
1 0 2
2 2 3
3 4 1
1 2 0
3 2 2
10 7
2 0 3
3 4 3
0 3 3
0 3 0
2 3 2
1 3 1
3 2 4
1 3 2
3 0 3
4 4 0
10 4
4 3 5
1 1 4
3 0 0
2 4 4
0 4 3
3 5 5
3 3 3
3 3 4
1 4 2
4 1 3
10 3
1 0 1
2 0 0
0 0 0
0 1 0
1 0 0
1 1 2
1 2 0
2 1 2
1 0 2
0 1 1
10 5
2 3 3
1 3 0
4 2 4
3 4 3
4 0 3
3 2 4
3 1 4
0 0 2
3 4 2
3 4 0
10 9
0 3 2
0 1 1
1 3 3
3 1 3
0 2 3
3 3 3
2 2 0
3 0 1
2 3 3
2 1 3
10 3
3 3 0
2 1 2
0 1 2
2 3 2
0 0 2
1 0 3
1 0 0
2 0 0
2 3 1
2 2 0
10 8
4 1 3
3 4 2
2 1 2
1 2 0
1 4 1
3 1 4
2 3 4
2 4 0
1 0 1
0 0 2
10 4
4 2 1
0 3 4
0 5 2
1 5 1
4 3 0
2 2 3
3 2 4
5 4 3
4 0 0
4 1 4
10 7
5 1 1
3 0 1
0 1 5
3 5 3
4 0 3
0 5 2
4 4 0
5 2 0
5 3 2
5 5 5
10 9
1 0 0
1 2 2
2 2 1
0 1 1
1 2 0
2 1 1
2 0 2
0 1 0
2 1 2
2 1 0
10 2
3 0 0
0 1 0
2 1 1
1 0 1
1 2 0
2 3 3
3 3 2
1 1 0
0 1 2
1 3 2
10 6
1 1 2
2 2 1
2 1 1
2 0 0
0 0 2
1 2 2
0 2 0
1 0 1
2 1 2
1 2 1
10 3
1 3 2
1 1 0
1 1 1
4 0 4
3 0 1
1 4 4
2 3 3
1 2 3
1 2 1
3 2 3
10 3
1 1 1
2 0 2
1 0 1
0 2 1
2 2 1
1 2 2
0 0 0
0 0 1
2 2 0
1 0 2
10 5
1 3 2
3 0 1
3 3 3
0 1 1
1 1 2
2 0 2
0 1 0
1 2 2
3 3 2
2 2 2
10 6
3 0 0
3 2 0
0 2 1
3 3 2
3 1 0
4 0 2
2 0 4
2 1 2
0 2 0
1 0 3
10 4
2 4 3
0 4 3
2 5 5
1 2 4
3 1 3
4 3 4
2 5 3
5 3 1
3 4 0
2 1 4
10 7
2 0 1
0 0 2
1 2 0
2 0 2
1 0 2
0 1 0
2 2 1
0 1 2
1 1 2
1 2 2
10 7
0 1 4
1 1 0
1 3 2
3 1 4
4 3 2
3 2 0
1 0 1
3 1 1
3 2 2
3 2 1
10 4
2 3 1
3 1 0
1 1 3
0 1 1
1 0 0
3 2 3
2 1 2
3 2 1
0 1 3
2 2 3
10 7
2 0 1
0 0 2
1 2 0
1 0 1
1 1 2
0 2 2
2 1 1
2 2 2
0 1 2
2 1 2
10 8
1 1 3
3 3 5
4 5 4
2 3 1
4 2 5
4 1 0
1 0 3
4 0 1
2 3 5
5 2 1
10 2
3 3 1
3 0 5
5 0 1
0 0 2
5 3 4
4 5 2
4 4 0
0 1 3
0 4 3
5 4 5
10 9
3 1 0
1 5 1
4 3 4
3 5 4
5 0 2
3 1 1
3 0 1
0 3 1
0 1 4
4 5 4
10 7
1 3 4
5 4 4
1 4 3
2 3 1
4 5 4
1 3 3
3 5 1
5 0 5
5 0 0
4 1 3
10 6
5 2 3
5 3 1
0 1 5
3 1 3
4 1 3
2 1 0
0 2 1
5 4 1
0 3 5
1 0 2
10 4
2 4 4
3 1 4
3 2 0
2 3 0
2 2 1
4 0 1
1 3 2
0 1 3
2 4 1
2 0 2
10 5
0 0 1
2 2 1
2 2 0
2 0 2
1 2 1
0 2 0
1 2 2
1 1 2
0 2 1
0 1 2
10 7
1 2 1
1 2 0
3 1 2
3 3 0
3 0 2
0 1 3
0 3 3
3 2 2
0 2 3
3 3 1
10 2
3 2 1
1 3 1
2 2 1
3 2 0
1 3 3
2 3 0
1 0 0
1 0 3
0 0 1
0 1 1
10 4
1 0 3
1 2 1
0 3 2
1 4 1
0 0 2
4 1 1
2 2 3
4 0 1
0 1 2
1 2 2
10 9
2 2 1
1 0 2
2 2 3
3 3 3
3 3 2
0 2 2
1 2 1
2 2 2
2 1 2
3 1 0
10 2
2 4 4
4 1 4
0 0 0
4 2 1
4 2 3
4 4 1
4 1 1
1 4 0
0 3 1
1 2 4
10 6
0 1 0
0 0 1
2 1 0
1 0 0
2 1 1
2 0 2
1 1 2
2 0 1
1 0 2
1 2 2
10 4
0 2 1
3 0 0
2 3 1
4 2 3
3 4 4
1 2 3
3 4 1
1 4 3
1 1 1
2 4 4
10 5
4 4 1
3 4 2
0 2 4
0 4 2
1 0 4
1 3 5
1 1 4
5 4 4
4 1 1
0 1 0
10 3
1 0 0
1 1 1
1 1 2
0 0 1
0 0 2
1 1 0
1 2 0
0 0 0
2 1 1
2 0 1
10 3
2 0 0
2 0 4
0 1 1
0 1 0
0 3 1
0 4 1
3 2 3
1 1 0
1 3 2
2 4 2
10 3
2 2 0
2 1 2
1 0 2
1 1 0
0 2 1
1 1 2
2 0 1
1 0 0
0 1 1
0 1 0
10 7
1 2 2
0 1 1
0 2 0
2 1 1
2 1 0
2 1 2
2 0 0
0 1 2
2 2 0
1 0 2
10 8
3 0 4
2 4 1
2 2 2
2 2 0
4 1 1
2 4 4
1 1 4
2 4 3
0 0 3
3 3 4
10 2
2 2 0
0 0 1
0 1 1
1 1 2
1 0 1
0 0 0
0 2 0
0 2 1
2 1 1
2 1 2
10 6
1 2 2
2 2 0
0 2 2
2 1 1
2 0 0
0 0 1
1 1 0
2 2 1
0 0 0
2 0 1
10 8
1 1 2
3 0 1
0 1 2
1 0 2
0 2 1
2 0 3
1 2 0
1 3 3
1 0 1
2 1 1
10 6
0 0 1
2 1 0
2 3 3
0 0 0
1 1 1
2 0 3
3 2 2
3 3 2
0 3 2
3 1 1
10 3
0 1 1
1 2 1
2 2 1
1 1 0
1 1 1
0 0 1
2 2 2
1 0 2
2 0 1
2 1 2
10 9
2 4 2
2 0 4
4 0 3
1 2 3
0 3 3
1 0 0
2 1 1
4 3 2
0 3 1
1 4 1
10 7
2 0 2
0 1 2
0 0 3
0 2 2
2 2 1
0 0 0
3 3 2
3 2 0
2 2 0
0 1 3
10 2
3 3 0
4 1 2
3 1 5
1 0 3
3 4 2
3 3 1
5 4 0
4 1 0
1 4 2
2 4 1
10 3
2 0 4
4 3 1
0 4 2
3 3 2
3 4 3
4 0 0
3 0 4
3 3 0
3 3 4
0 4 4
10 9
2 1 1
2 2 1
3 2 0
2 2 0
0 3 1
1 0 1
3 0 2
2 0 2
1 0 3
0 0 2
10 8
1 2 2
1 2 1
0 0 1
3 0 1
0 3 3
3 2 3
3 3 1
0 0 2
3 1 3
0 3 1
10 8
1 3 3
3 2 0
1 0 1
3 4 0
3 1 3
2 1 1
1 1 3
4 3 2
3 4 2
3 2 4
10 6
1 2 0
3 0 3
2 3 3
5 0 5
0 3 5
4 2 5
0 5 4
5 5 3
0 2 4
2 4 3
10 5
0 0 2
1 0 2
0 2 0
1 0 1
0 2 1
1 2 0
1 1 1
0 0 0
2 1 1
1 2 2
10 9
0 2 1
0 0 2
1 1 1
1 2 0
2 2 1
2 2 0
0 1 1
1 1 2
2 1 2
0 2 0
10 9
1 2 1
0 2 3
3 0 1
2 3 3
2 2 0
1 3 1
1 1 0
0 0 0
0 0 3
3 0 0
10 5
4 4 4
3 4 0
1 2 0
1 2 3
1 0 4
4 4 3
0 1 3
3 0 1
2 1 4
4 1 3
10 6
1 0 0
0 1 1
1 1 0
0 1 2
2 1 1
2 0 0
0 0 1
2 0 2
2 0 1
2 2 1
10 8
2 1 2
1 2 1
1 1 2
1 0 2
2 2 0
1 1 0
2 1 1
1 0 0
1 2 0
0 1 1
10 5
2 1 2
3 3 2
3 3 3
0 3 1
0 1 0
3 0 0
0 3 0
0 2 2
2 0 0
0 1 1
10 5
0 4 2
4 3 1
3 2 2
1 1 4
0 0 1
0 2 2
3 3 0
3 3 4
3 1 0
1 2 1
10 3
0 0 2
2 0 2
0 2 1
1 2 1
2 2 1
2 2 2
2 2 0
2 0 0
2 1 0
1 1 2
10 8
0 5 2
3 0 4
0 4 1
4 5 2
5 0 2
0 0 5
0 5 5
2 3 2
2 1 1
4 3 5
10 4
1 3 0
3 0 1
0 0 2
3 2 4
0 3 1
1 0 4
0 2 3
1 1 2
0 5 0
3 4 0
10 5
0 0 2
4 3 1
3 1 0
2 5 5
5 3 5
4 1 0
2 2 4
4 0 3
3 2 3
1 3 4
10 3
0 1 0
0 0 0
3 3 2
2 0 2
0 0 1
1 3 2
0 1 2
1 3 0
1 1 2
1 3 1
10 8
5 5 5
5 4 5
4 2 1
4 0 1
1 3 2
2 5 0
5 3 3
0 0 2
2 3 4
3 3 1
10 4
2 0 2
2 0 1
4 1 3
3 1 0
2 2 0
1 1 0
2 3 4
1 2 3
0 0 0
0 3 3
10 2
1 2 2
0 2 1
2 2 0
0 0 1
1 2 0
2 1 0
2 1 2
0 1 2
2 1 1
2 2 1
10 2
1 3 1
2 3 0
2 2 2
3 0 0
2 3 2
0 0 2
0 1 2
0 0 3
1 3 3
0 0 1
10 7
1 2 0
1 2 2
0 2 1
2 2 0
0 2 0
2 0 0
0 0 2
0 1 0
1 1 0
1 1 1
10 2
2 2 2
0 0 1
1 0 2
1 0 0
0 2 1
1 2 2
0 2 2
2 0 1
2 1 0
0 0 0
10 2
3 0 1
2 4 3
2 2 0
0 4 4
0 2 4
3 3 0
1 3 3
0 0 1
1 2 0
3 0 4
10 4
4 5 4
4 0 1
3 0 2
5 5 2
5 0 2
3 5 1
4 1 2
2 4 5
5 5 5
3 0 0
10 4
2 0 3
0 3 0
1 1 3
3 3 2
2 1 2
3 1 2
1 3 1
0 0 2
2 2 3
0 2 0
10 5
0 0 1
2 3 2
2 0 1
2 3 0
2 1 1
2 1 3
2 1 2
3 0 2
0 3 1
2 0 0
10 8
4 0 4
0 2 1
3 0 0
1 1 2
4 3 1
1 0 2
2 0 1
4 3 0
2 2 1
0 0 1
10 3
2 0 2
5 5 2
3 0 3
3 4 1
0 5 5
4 4 1
4 5 1
1 1 2
2 0 5
5 5 4
10 5
2 4 0
0 3 0
1 1 0
0 1 1
1 4 2
1 1 2
3 0 3
2 1 2
0 4 4
2 3 0
10 6
2 0 2
3 0 4
5 5 0
3 5 1
4 3 5
3 0 2
2 1 3
0 4 5
0 5 1
3 2 4
10 6
0 0 2
1 0 2
0 2 0
0 1 0
1 2 2
2 1 0
2 2 0
0 1 2
0 2 2
2 0 2
10 7
2 2 0
0 1 3
0 3 0
0 3 3
2 1 1
2 1 3
3 2 3
3 1 1
2 3 2
2 0 0
10 3
2 0 2
2 2 1
0 0 2
0 2 1
0 1 1
1 1 2
0 1 0
2 0 0
0 2 0
1 2 1
10 2
5 4 4
2 5 5
0 0 1
0 5 2
4 4 0
2 2 1
2 5 0
1 4 0
5 4 0
0 4 4
10 3
5 1 0
3 1 1
0 5 1
4 2 2
1 4 0
0 4 2
5 3 3
1 1 3
5 5 3
1 3 4
10 9
3 5 2
4 0 3
4 5 1
2 4 0
3 5 3
0 1 5
1 0 2
2 0 3
0 1 1
2 3 4
10 8
2 3 2
4 4 0
1 1 4
3 0 1
4 2 1
0 4 1
1 0 1
3 0 3
3 1 4
1 0 3
10 9
4 4 4
2 3 3
1 0 2
3 3 4
4 0 3
1 4 0
1 2 1
1 3 1
1 1 1
3 4 3
10 5
2 0 1
1 1 2
3 2 0
3 2 3
1 2 0
2 1 3
1 3 2
1 3 3
0 1 1
2 3 2
10 9
0 0 1
0 1 1
2 2 2
1 0 1
1 1 2
2 2 1
1 0 2
1 2 0
2 2 0
1 0 0
10 8
1 1 1
3 2 3
2 2 1
3 2 1
2 1 0
3 1 0
3 0 3
0 1 2
2 2 2
1 1 3
10 2
5 0 5
3 0 1
5 0 4
1 1 1
2 3 2
3 5 0
3 1 3
2 2 4
3 4 0
0 5 1
10 5
0 4 4
5 2 4
0 4 1
3 2 5
5 2 2
4 5 4
4 2 3
0 1 4
3 1 3
4 3 0
10 2
0 0 0
0 1 0
0 1 1
3 2 2
3 1 1
3 2 0
0 2 1
3 0 1
1 2 1
0 3 2
10 8
3 0 2
2 4 2
1 2 3
0 0 3
2 2 3
2 1 1
2 0 0
0 3 4
3 0 4
0 3 2
10 3
3 0 2
2 3 0
1 2 2
2 0 0
1 0 1
3 0 3
0 2 1
2 1 1
0 0 0
2 2 1
10 3
3 3 1
1 0 1
3 0 0
2 2 1
2 2 3
0 1 2
1 3 2
3 3 2
2 1 3
2 2 2
10 4
1 3 5
3 2 2
4 4 5
0 4 3
0 1 0
0 3 2
2 4 2
4 3 0
2 0 4
3 0 3
10 7
2 2 1
0 2 0
0 0 0
2 2 0
1 1 2
2 0 1
1 2 0
0 1 2
2 2 2
0 0 2
10 2
0 4 5
5 0 3
1 1 4
4 5 3
1 5 1
0 0 0
3 3 3
0 3 1
0 4 2
2 0 5
10 8
0 2 4
1 4 5
1 2 3
1 1 3
5 0 2
0 5 1
1 4 2
2 5 1
5 2 3
1 3 0
10 9
2 5 5
0 0 0
0 3 0
2 0 1
1 5 1
1 0 1
4 0 5
0 2 1
4 4 1
4 1 3
10 9
2 0 2
1 0 1
0 1 2
2 0 1
1 2 2
1 2 1
1 1 0
1 2 0
1 1 1
0 2 1
10 7
2 1 3
0 0 0
0 0 3
1 3 1
2 1 2
3 2 3
2 0 2
3 0 2
0 1 0
2 0 3
10 7
0 1 0
2 1 2
0 1 1
1 1 0
1 1 1
0 0 1
0 1 2
2 1 0
1 2 2
2 2 1
10 9
2 2 1
0 0 0
2 0 0
2 1 1
1 2 2
1 1 0
2 0 1
0 0 2
1 2 0
1 1 2
10 5
1 2 3
1 3 0
3 3 2
1 1 2
0 1 3
1 3 2
2 1 2
0 2 2
3 1 2
2 1 0
10 7
1 0 4
0 2 4
2 4 0
4 1 4
1 1 1
2 0 2
0 0 0
1 2 2
3 0 2
2 3 3
10 4
4 3 3
3 1 1
0 1 4
3 3 2
1 3 0
3 4 3
1 1 3
1 0 4
3 4 2
4 1 1
10 9
2 2 2
2 2 0
2 1 1
0 1 2
0 0 2
2 0 1
1 2 1
1 2 0
0 2 2
2 0 2
10 4
0 2 2
2 0 0
0 0 2
2 2 0
2 1 0
1 1 1
2 2 2
0 2 0
2 1 1
0 2 1
10 6
2 3 3
2 0 2
2 2 1
3 2 0
0 3 2
3 3 2
3 0 2
3 1 3
1 0 1
2 1 1
10 3
1 1 1
1 2 2
0 1 1
1 0 3
1 2 1
0 0 1
3 2 1
1 0 1
2 0 0
3 1 3
10 9
1 0 1
5 1 1
0 4 1
1 0 0
5 0 0
0 5 1
2 4 3
0 4 5
3 3 0
5 5 3
10 9
5 4 5
0 2 5
0 3 5
0 5 5
5 2 3
3 5 3
0 2 3
4 0 5
1 0 5
2 3 2
10 2
0 2 2
3 5 4
4 5 1
1 5 2
4 3 3
4 0 4
3 2 3
2 2 4
1 2 0
3 4 0
10 8
2 2 2
1 0 2
2 1 0
0 0 0
2 1 2
0 0 2
0 1 1
0 1 0
1 0 0
1 2 1
10 5
2 2 1
2 5 3
1 4 1
2 1 4
0 4 5
1 4 3
3 0 1
2 4 5
4 2 4
2 1 5
10 9
0 4 3
0 1 2
2 3 1
1 2 0
0 1 0
2 0 2
2 4 4
1 3 4
3 0 0
3 4 4
10 2
0 1 1
0 1 3
3 2 2
1 0 3
1 3 1
3 1 2
0 3 1
3 3 1
3 3 3
0 1 0
10 2
2 3 3
0 1 0
1 1 0
1 3 0
1 3 3
3 1 2
2 0 1
2 0 3
3 3 1
3 3 3
10 8
1 4 2
2 3 0
2 3 1
0 0 4
5 5 5
5 1 4
2 5 0
3 2 5
5 0 2
2 1 3
10 2
1 1 0
2 2 1
2 3 1
0 3 3
1 0 3
3 1 0
0 2 2
2 0 3
3 3 3
0 3 0
10 4
4 3 4
3 0 5
1 1 3
5 1 0
1 2 2
5 5 0
4 4 3
2 1 1
4 3 0
1 3 0
10 2
5 3 2
3 0 0
4 5 0
3 4 3
0 2 2
3 4 5
2 1 5
0 0 0
2 3 4
0 0 2
10 3
3 1 0
1 3 1
2 2 2
3 1 3
2 0 1
1 1 2
1 2 3
0 3 0
0 1 2
0 2 2
10 8
0 3 1
0 3 2
3 1 2
3 3 2
3 4 1
3 4 2
0 3 4
3 0 0
4 2 2
2 3 4
10 5
3 5 3
5 0 5
1 2 3
2 4 4
2 0 5
0 2 5
4 4 1
2 4 2
0 3 2
1 4 0
10 3
3 3 1
3 1 5
2 1 2
5 4 2
0 2 4
1 3 1
3 1 3
4 5 4
3 2 0
0 4 4
10 2
4 0 5
1 4 4
2 4 5
4 0 1
2 5 4
4 4 0
3 3 3
2 4 4
2 2 5
3 5 5
10 3
0 0 0
0 2 1
2 2 2
1 1 2
1 2 1
0 2 0
0 0 1
1 0 2
2 1 0
0 1 0
10 3
0 5 1
3 0 1
3 5 5
1 3 2
5 2 5
0 5 3
3 5 4
5 1 3
5 5 0
4 3 5
10 6
1 0 0
2 0 1
2 3 0
1 2 1
2 2 0
0 0 0
1 1 3
3 0 2
3 0 3
1 2 3
10 9
3 0 0
4 2 0
4 1 3
2 4 4
3 1 2
3 2 2
1 3 3
4 1 0
1 4 0
1 4 4
10 6
0 0 5
1 0 0
0 5 3
2 2 2
0 5 1
0 4 5
4 3 4
4 5 0
0 0 2
2 4 4
10 4
3 2 5
5 4 0
1 2 4
5 5 0
0 3 3
4 5 1
2 3 5
4 1 2
1 3 2
2 1 5
10 4
3 0 0
2 0 0
1 2 3
2 2 2
3 2 1
0 2 3
0 3 0
2 2 0
3 1 3
1 1 2
10 2
4 4 1
2 0 1
4 0 0
3 3 3
3 0 1
3 3 4
1 4 2
2 2 2
4 4 0
0 1 0
10 4
1 2 0
0 2 1
1 0 1
2 0 1
1 1 1
1 0 2
2 1 2
2 0 0
0 2 0
0 0 2
10 5
1 1 1
5 5 0
5 4 1
4 1 5
5 1 2
2 3 1
3 0 0
2 3 2
4 5 5
4 4 5
10 2
2 1 2
0 2 1
1 1 1
1 2 2
2 0 1
1 0 1
0 1 1
1 0 2
0 2 2
1 2 0
10 8
3 3 2
3 1 2
1 2 3
0 2 0
1 2 1
0 1 1
2 3 0
2 1 2
3 1 0
1 0 3
10 4
1 0 0
1 2 1
2 2 1
2 1 1
0 0 2
1 0 2
0 1 0
0 1 1
1 2 2
2 0 1
10 4
1 0 1
1 2 1
1 2 0
2 1 1
0 1 0
1 1 2
0 2 0
1 0 2
1 2 2
0 0 2
10 6
3 1 2
0 2 0
3 2 3
1 2 2
3 1 3
0 2 3
2 0 1
3 0 2
2 2 0
3 2 2
10 5
2 2 0
2 1 1
0 1 0
1 1 0
1 2 0
1 2 2
0 2 0
1 0 2
1 1 1
0 2 1
10 5
1 0 0
1 2 2
0 1 1
1 4 3
4 0 1
4 0 0
3 4 3
2 3 4
0 1 0
0 2 4
10 6
1 2 3
2 0 1
3 0 1
3 1 2
3 1 3
0 2 1
2 0 2
3 1 0
1 0 2
1 2 0
10 8
2 2 3
2 3 3
3 1 5
3 3 5
3 4 1
0 3 1
5 2 5
3 5 2
0 3 4
5 4 1
10 9
0 2 1
1 0 0
2 0 1
1 1 0
0 0 1
2 0 0
1 2 0
2 1 2
1 0 1
1 1 1
10 8
0 3 0
0 1 5
0 3 3
1 0 2
4 4 0
4 3 1
2 3 5
3 5 5
4 0 5
0 5 0
10 3
3 2 0
1 0 0
0 0 0
2 1 3
2 3 3
1 3 0
3 1 1
3 3 2
0 0 1
3 3 3
10 6
3 4 1
3 1 4
4 0 3
0 3 2
1 4 5
5 4 0
0 2 3
2 5 1
4 3 3
4 0 1
10 4
2 0 5
4 0 5
2 5 1
3 4 1
2 4 5
0 1 2
3 2 2
0 3 0
4 5 0
0 5 0
10 5
2 2 1
1 2 1
5 1 3
5 0 5
1 4 2
5 3 1
3 1 0
0 1 3
2 0 4
2 1 0
10 3
2 3 0
1 0 2
1 3 2
3 3 1
2 0 3
1 2 2
2 0 2
0 1 2
1 2 3
1 0 1
10 3
0 2 2
1 0 1
0 1 2
1 3 3
1 3 0
2 3 3
2 1 3
3 1 1
1 1 1
0 0 0
10 3
2 3 2
2 1 1
1 1 4
2 3 3
3 2 2
0 1 0
1 3 3
2 1 4
0 2 1
0 1 4
10 4
3 2 1
3 3 4
0 4 3
1 3 3
2 0 2
4 1 3
4 3 4
0 2 2
3 3 3
3 0 4
10 4
2 0 0
5 0 0
4 0 1
4 2 4
1 1 0
0 4 3
5 3 2
4 1 2
1 0 5
3 2 1
10 3
2 4 3
1 3 2
4 0 0
5 1 3
4 5 4
3 3 3
0 0 4
4 1 5
1 0 0
3 1 5
10 5
0 1 2
5 0 2
3 3 0
5 4 2
1 2 2
3 2 2
0 5 2
1 0 3
0 2 5
5 4 3
10 9
3 0 4
2 1 4
1 4 3
1 4 1
4 2 4
0 3 0
4 0 3
2 3 1
0 1 2
3 2 1
10 8
0 2 0
3 2 2
1 3 0
2 0 0
3 1 3
0 1 3
1 2 1
2 1 3
2 3 3
0 3 2
10 8
2 2 0
2 3 0
2 2 1
0 2 1
0 3 0
3 3 0
0 1 0
1 2 1
3 2 0
3 2 1
10 9
0 4 3
3 1 1
4 2 3
2 2 0
3 4 3
4 0 3
3 1 2
2 0 2
3 0 3
1 2 3
10 7
2 4 3
3 1 1
5 3 4
2 1 3
5 5 0
0 1 4
3 0 5
4 1 3
5 4 5
5 2 1
10 9
3 2 3
0 2 2
3 3 0
1 0 1
2 3 1
3 1 3
1 1 1
3 2 1
1 0 3
3 0 3
10 5
4 2 2
0 4 4
2 1 1
2 2 0
2 0 3
3 0 2
0 3 3
0 3 2
3 4 4
0 4 0
10 4
0 0 2
4 2 4
3 0 1
1 0 3
4 4 3
4 3 3
2 0 4
4 0 1
0 4 2
0 3 0
10 8
3 2 2
3 4 3
3 0 1
4 0 4
1 0 4
4 1 0
0 1 3
3 0 4
2 3 1
3 3 0
10 5
2 2 2
4 1 1
1 0 4
0 1 0
3 1 3
0 0 0
3 3 4
1 2 0
0 2 4
3 3 1
10 5
1 2 1
0 1 1
1 0 2
0 2 0
0 1 2
1 0 1
2 1 1
2 2 0
0 0 1
1 1 0
10 3
1 0 2
1 2 0
0 0 2
2 1 2
0 2 0
2 0 0
2 2 0
0 2 1
2 1 0
0 1 0
10 9
1 0 2
4 1 2
0 0 1
0 0 2
3 1 2
0 3 3
0 2 0
3 4 3
3 0 0
3 2 1
10 6
0 1 2
1 2 0
2 0 2
2 0 1
1 2 1
0 1 1
1 0 2
1 1 2
2 1 2
0 0 1
10 4
1 0 0
2 0 1
0 2 0
1 1 1
1 3 1
0 0 0
2 3 3
0 1 3
0 1 0
1 1 2
10 4
1 4 1
3 1 3
4 3 1
2 2 2
5 1 5
3 0 1
4 4 4
0 3 0
2 3 5
1 5 3
10 2
4 0 1
4 1 4
0 0 2
3 1 4
3 0 0
2 2 4
3 4 1
2 3 1
0 2 4
4 4 4
10 6
1 0 2
0 0 1
1 2 1
1 1 1
2 2 2
2 2 1
2 0 2
2 1 1
1 1 0
2 0 1
10 7
1 2 0
0 0 1
2 2 0
2 1 0
1 1 1
2 0 0
2 1 2
1 1 0
1 0 2
1 0 0
10 9
4 2 1
0 3 4
0 1 0
0 1 2
1 0 3
1 2 3
1 3 3
1 4 2
1 1 4
2 2 4
10 7
1 4 2
2 3 0
2 0 1
4 2 2
0 0 4
1 4 3
0 1 2
5 5 0
2 4 0
1 3 2
10 9
2 1 0
1 3 1
0 2 2
2 0 3
3 3 1
0 0 3
0 2 0
0 3 2
1 1 2
2 3 1
10 6
0 1 1
1 0 2
0 2 0
2 1 1
2 1 0
0 2 1
1 2 1
2 0 2
0 0 0
2 0 1
10 6
4 3 4
1 5 4
5 2 2
4 1 5
1 4 4
2 1 0
3 2 5
5 2 1
5 5 1
1 4 1
10 9
2 4 1
3 0 3
4 0 4
3 4 1
2 3 2
4 1 0
1 0 1
4 2 0
1 2 0
2 3 1
10 4
4 0 4
2 2 0
1 1 4
4 1 2
2 4 3
0 3 4
0 2 3
3 4 1
2 4 4
1 3 0
10 5
0 2 4
0 4 3
4 4 1
3 2 3
4 4 2
2 4 0
0 0 4
2 4 1
4 3 3
1 4 1
10 7
0 0 2
2 2 1
0 2 1
2 2 2
2 0 2
1 2 2
0 1 1
1 2 0
2 0 1
2 1 2
10 2
3 0 2
2 0 0
1 0 0
3 3 2
2 3 3
3 2 0
2 3 2
1 3 3
1 1 0
1 3 0
10 4
2 2 0
4 5 1
4 2 5
4 2 1
4 1 0
1 4 5
5 2 0
3 2 3
4 3 2
1 3 5
10 3
3 0 3
3 2 0
4 3 1
3 2 2
2 1 2
0 4 0
4 1 4
0 1 4
1 0 3
1 2 0
10 6
2 2 1
2 0 0
2 1 2
2 0 1
1 0 1
1 1 0
0 0 2
1 0 2
0 1 2
0 2 2
10 7
0 5 2
4 0 5
5 5 1
3 4 2
0 0 0
3 1 2
2 1 5
2 4 1
1 4 4
3 1 4
10 7
3 3 4
1 0 3
0 3 1
1 2 1
2 2 4
0 0 1
0 2 1
1 2 0
3 2 4
1 4 2
10 6
3 2 1
1 0 1
2 0 3
0 3 2
3 0 3
3 1 2
3 0 0
0 2 2
1 3 0
2 2 2
10 2
0 2 2
1 0 2
2 4 0
0 1 0
0 1 3
0 4 0
1 0 1
0 2 0
0 3 3
2 4 3
10 9
0 1 0
2 2 1
1 1 0
0 0 0
1 2 0
1 0 0
0 2 0
1 1 1
2 2 0
2 0 2
10 8
0 2 2
0 0 0
1 0 1
1 0 0
1 1 2
2 1 2
2 0 2
1 0 2
1 1 1
0 0 2
10 4
2 1 5
3 3 5
5 1 5
0 2 1
4 4 4
4 2 4
3 3 3
3 5 5
1 2 1
2 3 0
10 8
0 4 5
3 1 5
0 2 5
5 0 2
5 3 1
0 5 3
0 0 4
5 2 1
3 5 0
1 2 5
10 4
0 0 3
1 0 0
1 1 3
3 0 2
2 1 3
3 1 3
0 3 2
3 2 0
1 3 3
1 2 0
10 8
3 1 1
2 0 0
2 3 3
0 2 4
3 4 4
3 1 2
0 0 0
2 3 0
4 2 1
3 4 3
10 3
1 2 1
2 3 0
3 0 1
3 3 1
1 1 3
1 0 1
2 1 0
0 0 1
0 0 3
3 2 2
10 8
0 0 1
1 2 2
1 0 1
2 2 2
0 2 2
0 1 0
0 1 2
2 0 1
1 1 0
2 0 0
10 2
3 5 5
2 5 1
4 0 5
2 0 2
1 5 1
2 4 1
1 4 2
4 1 5
4 2 2
1 3 1
10 7
2 2 2
1 0 2
0 1 0
2 1 0
1 1 0
1 1 1
0 2 2
2 1 1
1 0 0
0 2 1
10 2
4 3 2
3 4 4
0 0 1
2 0 3
1 2 2
1 4 3
2 0 0
0 3 0
1 1 1
4 4 3
10 3
0 2 1
2 1 1
2 1 0
1 2 2
1 1 2
0 0 0
1 1 0
1 1 1
1 0 2
0 0 1
10 2
0 2 1
1 0 1
1 1 1
0 1 2
2 2 1
1 2 2
0 2 0
0 0 0
2 2 0
2 2 2
10 3
1 1 2
2 0 2
0 0 0
2 1 0
2 2 2
1 1 0
0 1 0
2 0 0
0 0 2
2 1 1
10 5
2 4 4
5 0 0
0 2 4
4 2 0
4 2 3
3 3 3
1 4 3
4 3 3
5 0 2
4 3 0
10 7
4 4 2
0 1 3
3 3 2
0 2 0
0 4 0
1 1 1
0 1 2
4 1 4
4 2 1
1 0 4
10 5
0 0 0
2 0 3
2 0 0
3 0 3
2 2 0
0 0 1
0 1 1
3 2 0
1 3 0
0 0 3
10 8
2 4 3
0 5 2
5 1 2
5 3 2
3 2 3
4 5 3
2 3 3
1 3 4
0 4 3
5 5 1
10 9
0 2 1
0 2 2
2 1 2
3 3 2
2 1 3
1 0 2
3 2 1
2 1 1
0 1 1
3 0 1
10 2
2 1 3
1 1 0
3 1 0
2 1 2
3 1 2
1 1 2
0 0 0
2 2 0
1 3 0
0 1 0
10 2
1 1 5
2 3 3
3 2 3
1 4 0
2 0 0
0 5 3
3 5 0
1 3 4
5 0 5
2 4 3
10 7
2 1 0
3 0 1
0 2 1
5 2 3
0 5 4
5 0 4
3 0 0
4 0 2
3 1 2
1 3 1
10 8
2 1 1
1 4 4
1 1 2
3 4 2
1 0 0
4 1 2
1 3 1
4 4 4
1 0 1
4 1 4
10 3
4 5 4
5 2 1
3 2 4
5 2 0
2 5 1
0 2 3
3 4 4
0 4 4
2 0 5
0 4 1
10 4
3 0 1
4 2 2
2 1 4
0 1 1
1 4 0
0 2 4
0 0 2
1 1 1
1 1 4
3 3 1
10 2
1 1 2
2 0 2
1 0 1
1 0 2
1 1 1
0 1 0
1 2 1
0 2 0
2 2 1
2 1 2
10 9
1 0 2
5 1 4
2 2 4
5 3 3
4 3 2
4 2 4
4 3 4
5 5 3
3 3 3
5 1 1
10 2
2 3 3
1 0 0
3 0 1
2 0 1
1 3 2
3 2 2
0 3 2
2 0 3
3 0 0
0 1 3
10 5
2 0 1
0 2 2
1 1 0
0 2 1
0 1 0
0 0 2
2 1 1
1 0 1
2 2 0
1 2 1
10 3
1 1 2
0 1 2
0 0 0
0 0 1
2 1 1
0 1 1
2 0 1
2 0 2
0 1 0
2 2 1
10 9
0 0 2
2 2 1
2 0 2
1 0 2
0 2 2
2 1 2
2 1 0
0 2 1
1 0 0
2 0 0
10 6
0 3 3
0 2 0
0 1 3
0 2 1
1 2 0
1 0 0
2 2 3
2 0 0
2 2 1
0 1 2
10 5
2 0 1
0 2 1
2 2 1
1 1 0
2 1 0
2 1 2
2 0 0
0 0 2
1 1 2
0 1 0
10 3
0 5 5
1 1 0
4 1 5
2 4 1
1 0 5
2 1 5
0 4 2
1 2 5
3 4 1
5 1 1
10 7
4 1 0
3 2 3
3 4 1
1 0 2
4 1 2
0 0 2
0 2 1
4 4 0
3 3 4
2 3 3
10 9
3 1 2
1 1 2
0 1 3
3 3 3
3 0 1
1 2 2
1 0 0
3 0 2
2 1 3
3 2 2
10 9
2 2 4
4 4 1
4 0 0
1 0 3
3 1 2
3 4 2
3 2 4
4 2 2
0 1 3
2 4 0
10 2
1 2 0
0 1 0
1 0 4
1 1 4
1 2 4
4 3 1
1 1 3
3 1 1
0 4 1
4 3 3
